# label = 50.2.a.a
# Base field F = Number Field in a with defining polynomial x - 1
# Quaternion algebra given by i^2 = -1, j^2 = -1
# Order with basis over the integers given by [1, i, 25*j, 1/2 + 1/2*i + 7/2*j + 1/2*k]

# Nmax = 10000

[(1, [3*i, -i + 25*j, 1/2 + (-7/6)*i + (-43/6)*j + 1/6*k]), (-1, [3*i, -i + 25*j, 1/2 + (-7/6)*i + (-43/6)*j + 1/6*k])]
[((2,), -1/2 + (-7/2)*i + (-7/2)*j + (-1/2)*k), ((5,), 1/2 + (-9/2)*i + 7/2*j + 1/2*k)]

# map: (1 |-> 1.0) -> -1, Fractional ideal (2) -> -1, Fractional ideal (5) -> -1
[17, 3 + (-2)*i + (-14)*j + (-2)*k, [(-3, [(-3, -2, 2.306)]), (-43, [(-43, 0, 0)]), (-67, [(-67, 6, 4.392)]), (-83, [(-83, 6, 3.946)]), (-107, [(-107, -6, 3.475)]), (-123, [(-123, 6, 3.241)]), (-163, [(-163, -6, 2.816)]), (-187, [(-187, 6, 2.629)]), (-203, [(-203, -12, 10.09)]), (-227, [(-227, -12, 9.544)]), (-267, [(-267, 6, 2.200)]), (-283, [(-283, 6, 2.137)]), (-307, [(-307, -6, 2.052)]), (-323, [(-323, 6, 2.000)]), (-347, [(-347, 6, 1.930)]), (-403, [(-403, 0, 0)]), (-427, [(-427, 0, 0)]), (-443, [(-443, 6, 1.708)]), (-467, [(-467, 12, 6.654)]), (-483, [(-483, 12, 6.543)]), (-523, [(-523, 6, 1.572)]), (-547, [(-547, -6, 1.537)]), (-563, [(-563, 0, 0)]), (-587, [(-587, 6, 1.484)]), (-627, [(-627, -6, 1.436)]), (-643, [(-643, -12, 5.670)]), (-667, [(-667, 0, 0)]), (-683, [(-683, -6, 1.375)]), (-707, [(-707, 12, 5.408)]), (-723, [(-723, -6, 1.337)]), (-763, [(-763, 0, 0)]), (-787, [(-787, -12, 5.125)]), (-803, [(-803, -6, 1.269)]), (-827, [(-827, -6, 1.250)]), (-843, [(-843, 12, 4.952)]), (-883, [(-883, 6, 1.210)]), (-907, [(-907, -12, 4.774)]), (-923, [(-923, 0, 0)]), (-947, [(-947, 12, 4.672)]), (-987, [(-987, 12, 4.577)]), (-1003, [(-1003, 12, 4.540)]), (-1027, [(-1027, 12, 4.487)]), (-1043, [(-1043, 0, 0)]), (-1067, [(-1067, -12, 4.402)]), (-1123, [(-1123, 6, 1.073)]), (-1147, [(-1147, -12, 4.246)]), (-1163, [(-1163, 6, 1.054)]), (-1187, [(-1187, -6, 1.043)]), (-1203, [(-1203, 18, 9.328)]), (-1227, [(-1227, 6, 1.026)]), (-1243, [(-1243, -6, 1.020)]), (-1267, [(-1267, 0, 0)]), (-1283, [(-1283, 0, 0)]), (-1307, [(-1307, 6, 0.9943)]), (-1347, [(-1347, -6, 0.9794)]), (-1363, [(-1363, -12, 3.895)]), (-1387, [(-1387, 6, 0.9652)]), (-1403, [(-1403, -12, 3.839)]), (-1427, [(-1427, -6, 0.9516)]), (-1443, [(-1443, -12, 3.785)]), (-1483, [(-1483, -12, 3.734)]), (-1507, [(-1507, 6, 0.9260)]), (-1523, [(-1523, -18, 8.290)]), (-1547, [(-1547, 12, 3.656)]), (-1563, [(-1563, 6, 0.9092)]), (-1603, [(-1603, 12, 3.591)]), (-1627, [(-1627, 18, 8.021)]), (-1643, [(-1643, 24, 14.19)]), (-1667, [(-1667, -18, 7.924)]), (-1707, [(-1707, 6, 0.8700)]), (-1723, [(-1723, -6, 0.8660)]), (-1747, [(-1747, -6, 0.8600)]), (-1763, [(-1763, 24, 13.70)]), (-1787, [(-1787, -6, 0.8504)]), (-1803, [(-1803, 6, 0.8466)]), (-1843, [(-1843, 0, 0)]), (-1867, [(-1867, 6, 0.8319)]), (-1883, [(-1883, -12, 3.314)]), (-1907, [(-1907, 12, 3.293)]), (-1923, [(-1923, 0, 0)]), (-1947, [(-1947, 0, 0)]), (-1963, [(-1963, 0, 0)]), (-1987, [(-1987, 6, 0.8064)]), (-2003, [(-2003, 18, 7.229)]), (-2027, [(-2027, 12, 3.194)]), (-2067, [(-2067, 0, 0)]), (-2083, [(-2083, 12, 3.150)]), (-2123, [(-2123, -6, 0.7802)]), (-2147, [(-2147, -18, 6.982)]), (-2163, [(-2163, 0, 0)]), (-2203, [(-2203, 12, 3.063)]), (-2227, [(-2227, 12, 3.047)]), (-2243, [(-2243, -6, 0.7590)]), (-2267, [(-2267, -24, 12.08)]), (-2283, [(-2283, -6, 0.7523)]), (-2307, [(-2307, 18, 6.736)]), (-2323, [(-2323, -12, 2.983)]), (-2347, [(-2347, -6, 0.7420)]), (-2363, [(-2363, 6, 0.7395)]), (-2387, [(-2387, -12, 2.943)]), (-2427, [(-2427, 12, 2.919)]), (-2443, [(-2443, -12, 2.909)]), (-2467, [(-2467, 6, 0.7237)]), (-2483, [(-2483, -24, 11.54)]), (-2507, [(-2507, 0, 0)]), (-2563, [(-2563, -12, 2.840)]), (-2587, [(-2587, 12, 2.827)]), (-2603, [(-2603, -6, 0.7046)]), (-2627, [(-2627, -12, 2.805)]), (-2643, [(-2643, 12, 2.797)]), (-2667, [(-2667, -24, 11.14)]), (-2683, [(-2683, -12, 2.776)]), (-2707, [(-2707, -6, 0.6909)]), (-2723, [(-2723, -12, 2.755)]), (-2747, [(-2747, 6, 0.6859)]), (-2787, [(-2787, 0, 0)]), (-2803, [(-2803, 24, 10.86)]), (-2827, [(-2827, 0, 0)]), (-2843, [(-2843, 18, 6.068)]), (-2867, [(-2867, 0, 0)]), (-2923, [(-2923, 0, 0)]), (-2947, [(-2947, 0, 0)]), (-2963, [(-2963, 12, 2.642)]), (-2987, [(-2987, 0, 0)]), (-3003, [(-3003, 12, 2.624)]), (-3027, [(-3027, 18, 5.880)]), (-3043, [(-3043, -6, 0.6516)]), (-3067, [(-3067, 0, 0)]), (-3083, [(-3083, 0, 0)]), (-3107, [(-3107, 24, 10.32)]), (-3147, [(-3147, -6, 0.6408)]), (-3163, [(-3163, -6, 0.6392)]), (-3187, [(-3187, -12, 2.547)]), (-3203, [(-3203, -6, 0.6352)]), (-3227, [(-3227, -12, 2.531)]), (-3243, [(-3243, -12, 2.525)]), (-3307, [(-3307, -6, 0.6251)]), (-3323, [(-3323, 18, 5.612)]), (-3347, [(-3347, 18, 5.592)]), (-3363, [(-3363, -12, 2.479)]), (-3387, [(-3387, 6, 0.6177)]), (-3403, [(-3403, 6, 0.6162)]), (-3427, [(-3427, 12, 2.456)]), (-3443, [(-3443, 0, 0)]), (-3467, [(-3467, 6, 0.6105)]), (-3507, [(-3507, -24, 9.712)]), (-3523, [(-3523, 12, 2.422)]), (-3547, [(-3547, -30, 15.09)]), (-3563, [(-3563, 0, 0)]), (-3587, [(-3587, 18, 5.402)]), (-3603, [(-3603, -6, 0.5989)]), (-3643, [(-3643, -6, 0.5956)]), (-3667, [(-3667, -6, 0.5936)]), (-3683, [(-3683, -12, 2.369)]), (-3707, [(-3707, 18, 5.314)]), (-3723, [(-3723, -30, 14.73)]), (-3747, [(-3747, -18, 5.285)]), (-3763, [(-3763, 0, 0)]), (-3787, [(-3787, -12, 2.337)]), (-3803, [(-3803, -18, 5.246)]), (-3827, [(-3827, -12, 2.324)]), (-3867, [(-3867, 24, 9.249)]), (-3883, [(-3883, -12, 2.307)]), (-3907, [(-3907, -12, 2.300)]), (-3923, [(-3923, -12, 2.296)]), (-3947, [(-3947, 36, 20.60)]), (-3963, [(-3963, 6, 0.5710)]), (-4003, [(-4003, -6, 0.5682)]), (-4027, [(-4027, 6, 0.5665)]), (-4043, [(-4043, 12, 2.261)]), (-4083, [(-4083, 6, 0.5626)]), (-4123, [(-4123, 12, 2.239)]), (-4147, [(-4147, 0, 0)]), (-4163, [(-4163, 0, 0)]), (-4187, [(-4187, -12, 2.222)]), (-4227, [(-4227, -30, 13.82)]), (-4243, [(-4243, 0, 0)]), (-4267, [(-4267, 6, 0.5503)]), (-4283, [(-4283, 30, 13.73)]), (-4307, [(-4307, 0, 0)]), (-4323, [(-4323, 24, 8.748)]), (-4363, [(-4363, -6, 0.5442)]), (-4387, [(-4387, -6, 0.5427)]), (-4403, [(-4403, -12, 2.167)]), (-4427, [(-4427, 0, 0)]), (-4443, [(-4443, 6, 0.5393)]), (-4467, [(-4467, 18, 4.841)]), (-4483, [(-4483, 12, 2.148)]), (-4507, [(-4507, -6, 0.5355)]), (-4523, [(-4523, -6, 0.5345)]), (-4547, [(-4547, -6, 0.5331)]), (-4587, [(-4587, 18, 4.777)]), (-4603, [(-4603, -6, 0.5298)]), (-4627, [(-4627, 12, 2.114)]), (-4643, [(-4643, 0, 0)]), (-4667, [(-4667, 12, 2.105)]), (-4683, [(-4683, 12, 2.101)]), (-4723, [(-4723, 6, 0.5231)]), (-4747, [(-4747, -12, 2.087)]), (-4763, [(-4763, -6, 0.5209)]), (-4787, [(-4787, 6, 0.5196)]), (-4803, [(-4803, -6, 0.5187)]), (-4827, [(-4827, -18, 4.657)]), (-4843, [(-4843, -12, 2.066)]), (-4867, [(-4867, 0, 0)]), (-4883, [(-4883, -12, 2.058)]), (-4907, [(-4907, -24, 8.211)]), (-4947, [(-4947, 0, 0)]), (-4963, [(-4963, 0, 0)]), (-4987, [(-4987, 18, 4.581)]), (-5003, [(-5003, -6, 0.5082)]), (-5027, [(-5027, -6, 0.5070)]), (-5083, [(-5083, 12, 2.017)]), (-5107, [(-5107, -24, 8.048)]), (-5123, [(-5123, 24, 8.036)]), (-5147, [(-5147, -6, 0.5011)]), (-5163, [(-5163, -36, 18.01)]), (-5187, [(-5187, 12, 1.996)]), (-5227, [(-5227, -12, 1.989)]), (-5267, [(-5267, 12, 1.981)]), (-5307, [(-5307, 0, 0)]), (-5323, [(-5323, 6, 0.4927)]), (-5347, [(-5347, 18, 4.424)]), (-5363, [(-5363, -12, 1.963)]), (-5387, [(-5387, -12, 1.959)]), (-5403, [(-5403, -12, 1.956)]), (-5443, [(-5443, -18, 4.385)]), (-5467, [(-5467, 12, 1.945)]), (-5483, [(-5483, 18, 4.369)]), (-5507, [(-5507, -18, 4.360)]), (-5523, [(-5523, -24, 7.739)]), (-5563, [(-5563, -6, 0.4820)]), (-5587, [(-5587, 0, 0)]), (-5603, [(-5603, -36, 17.29)]), (-5627, [(-5627, -18, 4.313)]), (-5667, [(-5667, 0, 0)]), (-5683, [(-5683, 0, 0)]), (-5707, [(-5707, 12, 1.903)]), (-5723, [(-5723, 0, 0)]), (-5747, [(-5747, 12, 1.897)]), (-5763, [(-5763, 6, 0.4735)]), (-5803, [(-5803, 24, 7.550)]), (-5827, [(-5827, 0, 0)]), (-5843, [(-5843, 36, 16.93)]), (-5867, [(-5867, 12, 1.877)]), (-5883, [(-5883, 0, 0)]), (-5907, [(-5907, -18, 4.209)]), (-5923, [(-5923, 6, 0.4671)]), (-5947, [(-5947, 0, 0)]), (-5963, [(-5963, 18, 4.190)]), (-5987, [(-5987, 30, 11.61)]), (-6043, [(-6043, -6, 0.4624)]), (-6067, [(-6067, 12, 1.846)]), (-6083, [(-6083, 24, 7.374)]), (-6107, [(-6107, 0, 0)]), (-6123, [(-6123, 36, 16.54)]), (-6163, [(-6163, -18, 4.121)]), (-6187, [(-6187, 12, 1.828)]), (-6203, [(-6203, -12, 1.826)]), (-6227, [(-6227, -24, 7.289)]), (-6243, [(-6243, -6, 0.4549)]), (-6267, [(-6267, 0, 0)]), (-6283, [(-6283, 12, 1.814)]), (-6307, [(-6307, 12, 1.811)]), (-6323, [(-6323, 18, 4.069)]), (-6347, [(-6347, -6, 0.4512)]), (-6387, [(-6387, 6, 0.4498)]), (-6403, [(-6403, -30, 11.23)]), (-6427, [(-6427, 0, 0)]), (-6443, [(-6443, -6, 0.4478)]), (-6467, [(-6467, 0, 0)]), (-6483, [(-6483, 0, 0)]), (-6523, [(-6523, -18, 4.006)]), (-6547, [(-6547, 6, 0.4443)]), (-6563, [(-6563, 18, 3.993)]), (-6587, [(-6587, 0, 0)]), (-6603, [(-6603, -12, 1.770)]), (-6643, [(-6643, 12, 1.764)]), (-6667, [(-6667, 24, 7.044)]), (-6683, [(-6683, -6, 0.4397)]), (-6707, [(-6707, -12, 1.756)]), (-6747, [(-6747, -12, 1.751)]), (-6763, [(-6763, 6, 0.4371)]), (-6787, [(-6787, 0, 0)]), (-6803, [(-6803, 6, 0.4358)]), (-6827, [(-6827, -12, 1.740)]), (-6843, [(-6843, -18, 3.911)]), (-6883, [(-6883, 6, 0.4333)]), (-6907, [(-6907, -6, 0.4325)]), (-6923, [(-6923, -24, 6.912)]), (-6947, [(-6947, -18, 3.882)]), (-6963, [(-6963, -18, 3.877)]), (-6987, [(-6987, -18, 3.870)]), (-7003, [(-7003, 12, 1.718)]), (-7027, [(-7027, 6, 0.4288)]), (-7043, [(-7043, -6, 0.4283)]), (-7067, [(-7067, 0, 0)]), (-7107, [(-7107, -12, 1.706)]), (-7123, [(-7123, -6, 0.4259)]), (-7147, [(-7147, 0, 0)]), (-7163, [(-7163, -24, 6.796)]), (-7187, [(-7187, -12, 1.696)]), (-7243, [(-7243, 0, 0)]), (-7283, [(-7283, -18, 3.791)]), (-7307, [(-7307, 12, 1.682)]), (-7323, [(-7323, -6, 0.4201)]), (-7347, [(-7347, 24, 6.710)]), (-7363, [(-7363, -24, 6.703)]), (-7387, [(-7387, 6, 0.4182)]), (-7403, [(-7403, 0, 0)]), (-7427, [(-7427, -12, 1.668)]), (-7467, [(-7467, 36, 14.98)]), (-7483, [(-7483, 0, 0)]), (-7507, [(-7507, -18, 3.734)]), (-7523, [(-7523, 6, 0.4144)]), (-7547, [(-7547, 12, 1.655)]), (-7563, [(-7563, 18, 3.720)]), (-7603, [(-7603, -6, 0.4123)]), (-7627, [(-7627, 0, 0)]), (-7643, [(-7643, -12, 1.645)]), (-7667, [(-7667, -18, 3.695)]), (-7683, [(-7683, -12, 1.640)]), (-7707, [(-7707, 24, 6.551)]), (-7723, [(-7723, 0, 0)]), (-7747, [(-7747, -24, 6.535)]), (-7763, [(-7763, 24, 6.528)]), (-7787, [(-7787, -24, 6.518)]), (-7827, [(-7827, -18, 3.657)]), (-7843, [(-7843, 36, 14.61)]), (-7867, [(-7867, -6, 0.4053)]), (-7883, [(-7883, 6, 0.4049)]), (-7907, [(-7907, -6, 0.4043)]), (-7923, [(-7923, -6, 0.4038)]), (-7963, [(-7963, 24, 6.445)]), (-8003, [(-8003, 12, 1.607)]), (-8027, [(-8027, 24, 6.420)]), (-8043, [(-8043, 0, 0)]), (-8067, [(-8067, -30, 10.01)]), (-8083, [(-8083, -12, 1.599)]), (-8123, [(-8123, 18, 3.590)]), (-8147, [(-8147, 6, 0.3983)]), (-8187, [(-8187, 6, 0.3973)]), (-8203, [(-8203, 12, 1.588)]), (-8227, [(-8227, -6, 0.3963)]), (-8243, [(-8243, 6, 0.3959)]), (-8267, [(-8267, -12, 1.581)]), (-8283, [(-8283, 18, 3.555)]), (-8323, [(-8323, 12, 1.576)]), (-8347, [(-8347, 0, 0)]), (-8363, [(-8363, -36, 14.15)]), (-8387, [(-8387, 30, 9.813)]), (-8403, [(-8403, 0, 0)]), (-8443, [(-8443, -18, 3.521)]), (-8467, [(-8467, 6, 0.3907)]), (-8483, [(-8483, 0, 0)]), (-8507, [(-8507, 12, 1.559)]), (-8547, [(-8547, -12, 1.555)]), (-8563, [(-8563, -12, 1.554)]), (-8587, [(-8587, -12, 1.552)]), (-8603, [(-8603, 0, 0)]), (-8627, [(-8627, 6, 0.3870)]), (-8643, [(-8643, 12, 1.547)]), (-8683, [(-8683, -18, 3.472)]), (-8707, [(-8707, -6, 0.3852)]), (-8723, [(-8723, -12, 1.540)]), (-8747, [(-8747, 6, 0.3844)]), (-8763, [(-8763, -12, 1.536)]), (-8787, [(-8787, -12, 1.534)]), (-8803, [(-8803, -6, 0.3831)]), (-8827, [(-8827, -24, 6.122)]), (-8843, [(-8843, 0, 0)]), (-8867, [(-8867, 30, 9.544)]), (-8907, [(-8907, -6, 0.3809)]), (-8923, [(-8923, 6, 0.3805)]), (-8947, [(-8947, 12, 1.520)]), (-8963, [(-8963, 6, 0.3797)]), (-8987, [(-8987, -12, 1.517)]), (-9003, [(-9003, 30, 9.471)]), (-9043, [(-9043, -12, 1.512)]), (-9067, [(-9067, -18, 3.398)]), (-9083, [(-9083, 12, 1.509)]), (-9107, [(-9107, 12, 1.507)]), (-9123, [(-9123, -30, 9.409)]), (-9147, [(-9147, -30, 9.396)]), (-9187, [(-9187, -24, 6.001)]), (-9203, [(-9203, 24, 5.995)]), (-9227, [(-9227, 18, 3.368)]), (-9267, [(-9267, -18, 3.361)]), (-9283, [(-9283, -6, 0.3731)]), (-9307, [(-9307, 0, 0)]), (-9323, [(-9323, -12, 1.489)]), (-9347, [(-9347, 0, 0)]), (-9363, [(-9363, 6, 0.3715)]), (-9403, [(-9403, 12, 1.483)]), (-9427, [(-9427, 30, 9.256)]), (-9443, [(-9443, -12, 1.480)]), (-9467, [(-9467, 0, 0)]), (-9483, [(-9483, -36, 13.29)]), (-9507, [(-9507, 0, 0)]), (-9523, [(-9523, -6, 0.3684)]), (-9547, [(-9547, 0, 0)]), (-9563, [(-9563, -12, 1.470)]), (-9587, [(-9587, 18, 3.304)]), (-9627, [(-9627, -12, 1.465)]), (-9643, [(-9643, 6, 0.3661)]), (-9667, [(-9667, -36, 13.16)]), (-9683, [(-9683, -36, 13.15)]), (-9707, [(-9707, 12, 1.459)]), (-9723, [(-9723, -24, 5.833)]), (-9763, [(-9763, 12, 1.455)]), (-9787, [(-9787, -6, 0.3634)]), (-9803, [(-9803, 6, 0.3631)]), (-9827, [(-9827, 12, 1.450)]), (-9843, [(-9843, 30, 9.058)]), (-9867, [(-9867, 12, 1.448)]), (-9883, [(-9883, 18, 3.254)]), (-9907, [(-9907, 0, 0)]), (-9923, [(-9923, 6, 0.3609)]), (-9987, [(-9987, 30, 8.993)])]]

# map: (1 |-> 1.0) -> -1, Fractional ideal (2) -> -1, Fractional ideal (5) -> 1
[1, None, [(-11, [(-11, -2, 3.613)]), (-19, [(-19, 2, 2.749)]), (-51, [(-51, 2, 1.678)]), (-59, [(-59, -4, 6.240)]), (-91, [(-91, 4, 5.025)]), (-131, [(-131, 0, 0)]), (-139, [(-139, 2, 1.016)]), (-179, [(-179, -2, 0.8957)]), (-211, [(-211, -2, 0.8249)]), (-219, [(-219, 2, 0.8097)]), (-251, [(-251, -2, 0.7564)]), (-259, [(-259, 4, 2.978)]), (-291, [(-291, -4, 2.810)]), (-299, [(-299, 4, 2.772)]), (-331, [(-331, 2, 0.6586)]), (-339, [(-339, -6, 5.857)]), (-371, [(-371, 4, 2.488)]), (-379, [(-379, -2, 0.6155)]), (-411, [(-411, 10, 14.78)]), (-419, [(-419, -6, 5.269)]), (-451, [(-451, -2, 0.5643)]), (-491, [(-491, 0, 0)]), (-499, [(-499, -4, 2.146)]), (-571, [(-571, 0, 0)]), (-579, [(-579, 6, 4.482)]), (-611, [(-611, 0, 0)]), (-619, [(-619, -8, 7.706)]), (-651, [(-651, -4, 1.879)]), (-659, [(-659, 6, 4.201)]), (-691, [(-691, -6, 4.103)]), (-699, [(-699, -4, 1.813)]), (-731, [(-731, -8, 7.091)]), (-739, [(-739, 0, 0)]), (-771, [(-771, 4, 1.726)]), (-779, [(-779, 6, 3.864)]), (-811, [(-811, -4, 1.683)]), (-851, [(-851, 8, 6.572)]), (-859, [(-859, -2, 0.4089)]), (-899, [(-899, 0, 0)]), (-939, [(-939, -8, 6.257)]), (-971, [(-971, 10, 9.614)]), (-979, [(-979, -2, 0.3830)]), (-1011, [(-1011, -2, 0.3769)]), (-1019, [(-1019, -2, 0.3754)]), (-1051, [(-1051, 2, 0.3696)]), (-1059, [(-1059, -8, 5.892)]), (-1091, [(-1091, 10, 9.070)]), (-1099, [(-1099, -4, 1.446)]), (-1131, [(-1131, 8, 5.701)]), (-1139, [(-1139, 6, 3.196)]), (-1171, [(-1171, -6, 3.152)]), (-1211, [(-1211, -4, 1.377)]), (-1219, [(-1219, 4, 1.373)]), (-1259, [(-1259, 0, 0)]), (-1291, [(-1291, 4, 1.334)]), (-1299, [(-1299, 6, 2.992)]), (-1339, [(-1339, 4, 1.310)]), (-1371, [(-1371, -10, 8.091)]), (-1379, [(-1379, -8, 5.163)]), (-1411, [(-1411, 2, 0.3190)]), (-1419, [(-1419, 4, 1.272)]), (-1451, [(-1451, -2, 0.3146)]), (-1459, [(-1459, -6, 2.823)]), (-1491, [(-1491, 4, 1.241)]), (-1499, [(-1499, 6, 2.786)]), (-1531, [(-1531, -2, 0.3063)]), (-1571, [(-1571, -12, 10.88)]), (-1579, [(-1579, 2, 0.3016)]), (-1619, [(-1619, -2, 0.2978)]), (-1651, [(-1651, 0, 0)]), (-1659, [(-1659, 8, 4.707)]), (-1691, [(-1691, -2, 0.2914)]), (-1699, [(-1699, 6, 2.616)]), (-1731, [(-1731, 6, 2.592)]), (-1739, [(-1739, -8, 4.598)]), (-1771, [(-1771, 4, 1.139)]), (-1779, [(-1779, -10, 7.103)]), (-1811, [(-1811, -2, 0.2816)]), (-1819, [(-1819, 10, 7.024)]), (-1851, [(-1851, 12, 10.03)]), (-1891, [(-1891, 8, 4.409)]), (-1931, [(-1931, 6, 2.454)]), (-1939, [(-1939, -4, 1.089)]), (-1979, [(-1979, -12, 9.697)]), (-2011, [(-2011, 2, 0.2672)]), (-2019, [(-2019, -4, 1.067)]), (-2051, [(-2051, -8, 4.234)]), (-2059, [(-2059, 4, 1.056)]), (-2091, [(-2091, 2, 0.2621)]), (-2099, [(-2099, -2, 0.2616)]), (-2131, [(-2131, 4, 1.038)]), (-2139, [(-2139, 4, 1.036)]), (-2171, [(-2171, 4, 1.029)]), (-2179, [(-2179, 10, 6.418)]), (-2211, [(-2211, -2, 0.2548)]), (-2219, [(-2219, 0, 0)]), (-2251, [(-2251, -2, 0.2526)]), (-2291, [(-2291, -4, 1.001)]), (-2339, [(-2339, 4, 0.9911)]), (-2371, [(-2371, 2, 0.2461)]), (-2379, [(-2379, 4, 0.9827)]), (-2411, [(-2411, -2, 0.2440)]), (-2419, [(-2419, -4, 0.9746)]), (-2451, [(-2451, -8, 3.873)]), (-2459, [(-2459, -8, 3.866)]), (-2491, [(-2491, -12, 8.643)]), (-2531, [(-2531, -4, 0.9528)]), (-2539, [(-2539, -2, 0.2378)]), (-2571, [(-2571, -2, 0.2363)]), (-2579, [(-2579, 18, 19.11)]), (-2611, [(-2611, 12, 8.442)]), (-2651, [(-2651, 2, 0.2327)]), (-2659, [(-2659, 4, 0.9295)]), (-2699, [(-2699, -6, 2.076)]), (-2731, [(-2731, -10, 5.732)]), (-2739, [(-2739, 10, 5.724)]), (-2771, [(-2771, 10, 5.691)]), (-2779, [(-2779, -4, 0.9092)]), (-2811, [(-2811, -6, 2.034)]), (-2819, [(-2819, -2, 0.2257)]), (-2851, [(-2851, 8, 3.591)]), (-2859, [(-2859, 10, 5.603)]), (-2899, [(-2899, -4, 0.8902)]), (-2931, [(-2931, -2, 0.2213)]), (-2939, [(-2939, -10, 5.526)]), (-2971, [(-2971, 10, 5.496)]), (-3011, [(-3011, 2, 0.2184)]), (-3019, [(-3019, -6, 1.963)]), (-3059, [(-3059, 4, 0.8666)]), (-3091, [(-3091, -4, 0.8621)]), (-3099, [(-3099, -18, 17.44)]), (-3131, [(-3131, 16, 13.71)]), (-3139, [(-3139, -4, 0.8555)]), (-3171, [(-3171, 12, 7.661)]), (-3219, [(-3219, -8, 3.379)]), (-3251, [(-3251, 2, 0.2102)]), (-3259, [(-3259, 0, 0)]), (-3291, [(-3291, 6, 1.880)]), (-3299, [(-3299, 0, 0)]), (-3331, [(-3331, -6, 1.869)]), (-3371, [(-3371, -6, 1.857)]), (-3379, [(-3379, -4, 0.8246)]), (-3419, [(-3419, 12, 7.378)]), (-3451, [(-3451, -4, 0.8159)]), (-3459, [(-3459, 2, 0.2037)]), (-3491, [(-3491, -14, 9.938)]), (-3499, [(-3499, 10, 5.064)]), (-3531, [(-3531, -2, 0.2017)]), (-3539, [(-3539, 4, 0.8057)]), (-3571, [(-3571, -2, 0.2005)]), (-3579, [(-3579, 4, 0.8012)]), (-3611, [(-3611, 8, 3.191)]), (-3619, [(-3619, -4, 0.7968)]), (-3651, [(-3651, -10, 4.958)]), (-3659, [(-3659, 2, 0.1981)]), (-3691, [(-3691, -6, 1.775)]), (-3731, [(-3731, -4, 0.7847)]), (-3739, [(-3739, -6, 1.764)]), (-3779, [(-3779, -2, 0.1949)]), (-3811, [(-3811, 4, 0.7764)]), (-3819, [(-3819, -2, 0.1939)]), (-3851, [(-3851, -8, 3.090)]), (-3859, [(-3859, -8, 3.086)]), (-3891, [(-3891, 8, 3.074)]), (-3899, [(-3899, 8, 3.070)]), (-3931, [(-3931, 0, 0)]), (-3939, [(-3939, 4, 0.7637)]), (-3979, [(-3979, 0, 0)]), (-4011, [(-4011, -8, 3.027)]), (-4019, [(-4019, 0, 0)]), (-4051, [(-4051, -8, 3.012)]), (-4091, [(-4091, 14, 9.180)]), (-4099, [(-4099, -4, 0.7487)]), (-4139, [(-4139, 10, 4.656)]), (-4171, [(-4171, -8, 2.969)]), (-4179, [(-4179, -12, 6.673)]), (-4211, [(-4211, 10, 4.617)]), (-4219, [(-4219, 0, 0)]), (-4251, [(-4251, 4, 0.7352)]), (-4259, [(-4259, 14, 8.997)]), (-4291, [(-4291, 0, 0)]), (-4299, [(-4299, 10, 4.569)]), (-4331, [(-4331, 12, 6.555)]), (-4339, [(-4339, -8, 2.911)]), (-4371, [(-4371, -4, 0.7250)]), (-4379, [(-4379, -4, 0.7243)]), (-4411, [(-4411, 2, 0.1804)]), (-4451, [(-4451, 14, 8.801)]), (-4499, [(-4499, -14, 8.754)]), (-4531, [(-4531, 4, 0.7121)]), (-4539, [(-4539, 6, 1.601)]), (-4571, [(-4571, -4, 0.7090)]), (-4579, [(-4579, -10, 4.427)]), (-4611, [(-4611, -12, 6.353)]), (-4619, [(-4619, 8, 2.821)]), (-4651, [(-4651, 10, 4.393)]), (-4659, [(-4659, -6, 1.580)]), (-4691, [(-4691, 6, 1.575)]), (-4699, [(-4699, -4, 0.6992)]), (-4731, [(-4731, -6, 1.568)]), (-4739, [(-4739, -16, 11.14)]), (-4771, [(-4771, 0, 0)]), (-4811, [(-4811, 2, 0.1728)]), (-4819, [(-4819, 8, 2.762)]), (-4859, [(-4859, 4, 0.6876)]), (-4891, [(-4891, 6, 1.542)]), (-4899, [(-4899, 16, 10.96)]), (-4931, [(-4931, 2, 0.1706)]), (-4939, [(-4939, 6, 1.535)]), (-4971, [(-4971, 6, 1.530)]), (-4979, [(-4979, 8, 2.717)]), (-5011, [(-5011, -12, 6.094)]), (-5019, [(-5019, 0, 0)]), (-5051, [(-5051, 0, 0)]), (-5059, [(-5059, 2, 0.1685)]), (-5091, [(-5091, -10, 4.199)]), (-5099, [(-5099, 2, 0.1678)]), (-5131, [(-5131, -8, 2.677)]), (-5171, [(-5171, -10, 4.166)]), (-5179, [(-5179, 10, 4.163)]), (-5219, [(-5219, 14, 8.128)]), (-5251, [(-5251, 0, 0)]), (-5259, [(-5259, -18, 13.38)]), (-5291, [(-5291, -4, 0.6590)]), (-5299, [(-5299, 4, 0.6585)]), (-5331, [(-5331, 4, 0.6565)]), (-5339, [(-5339, -4, 0.6560)]), (-5371, [(-5371, -8, 2.616)]), (-5379, [(-5379, 2, 0.1634)]), (-5411, [(-5411, -8, 2.606)]), (-5419, [(-5419, 4, 0.6511)]), (-5451, [(-5451, -8, 2.597)]), (-5459, [(-5459, -4, 0.6487)]), (-5531, [(-5531, -10, 4.028)]), (-5539, [(-5539, 8, 2.576)]), (-5579, [(-5579, -8, 2.567)]), (-5611, [(-5611, 8, 2.560)]), (-5619, [(-5619, 0, 0)]), (-5651, [(-5651, 2, 0.1594)]), (-5659, [(-5659, -6, 1.434)]), (-5691, [(-5691, 0, 0)]), (-5699, [(-5699, -10, 3.968)]), (-5731, [(-5731, 10, 3.957)]), (-5739, [(-5739, 14, 7.751)]), (-5771, [(-5771, -8, 2.524)]), (-5779, [(-5779, 12, 5.675)]), (-5811, [(-5811, -8, 2.515)]), (-5851, [(-5851, -10, 3.916)]), (-5891, [(-5891, 4, 0.6245)]), (-5899, [(-5899, -6, 1.404)]), (-5939, [(-5939, 2, 0.1555)]), (-5971, [(-5971, 8, 2.481)]), (-5979, [(-5979, 6, 1.395)]), (-6011, [(-6011, 0, 0)]), (-6019, [(-6019, 4, 0.6178)]), (-6051, [(-6051, 18, 12.48)]), (-6059, [(-6059, -6, 1.385)]), (-6091, [(-6091, 6, 1.382)]), (-6099, [(-6099, 6, 1.381)]), (-6131, [(-6131, -4, 0.6122)]), (-6139, [(-6139, 0, 0)]), (-6179, [(-6179, -4, 0.6098)]), (-6211, [(-6211, -2, 0.1520)]), (-6251, [(-6251, -4, 0.6063)]), (-6259, [(-6259, 10, 3.787)]), (-6299, [(-6299, -14, 7.398)]), (-6331, [(-6331, 12, 5.422)]), (-6339, [(-6339, -14, 7.375)]), (-6371, [(-6371, 8, 2.402)]), (-6379, [(-6379, 0, 0)]), (-6411, [(-6411, 18, 12.12)]), (-6451, [(-6451, 8, 2.387)]), (-6459, [(-6459, 12, 5.368)]), (-6491, [(-6491, -16, 9.519)]), (-6499, [(-6499, -8, 2.378)]), (-6531, [(-6531, -16, 9.490)]), (-6539, [(-6539, -16, 9.484)]), (-6571, [(-6571, 6, 1.330)]), (-6611, [(-6611, -2, 0.1474)]), (-6619, [(-6619, -6, 1.326)]), (-6659, [(-6659, 2, 0.1468)]), (-6691, [(-6691, -12, 5.274)]), (-6699, [(-6699, 4, 0.5856)]), (-6731, [(-6731, 0, 0)]), (-6739, [(-6739, 12, 5.255)]), (-6771, [(-6771, -4, 0.5825)]), (-6779, [(-6779, 12, 5.239)]), (-6819, [(-6819, 4, 0.5805)]), (-6851, [(-6851, 0, 0)]), (-6891, [(-6891, -10, 3.609)]), (-6899, [(-6899, 2, 0.1443)]), (-6931, [(-6931, -4, 0.5757)]), (-6971, [(-6971, -2, 0.1435)]), (-6979, [(-6979, -4, 0.5738)]), (-7019, [(-7019, -2, 0.1430)]), (-7051, [(-7051, 4, 0.5708)]), (-7059, [(-7059, 4, 0.5705)]), (-7091, [(-7091, -12, 5.123)]), (-7099, [(-7099, 12, 5.120)]), (-7131, [(-7131, -12, 5.108)]), (-7171, [(-7171, -4, 0.5660)]), (-7179, [(-7179, 10, 3.536)]), (-7211, [(-7211, 12, 5.080)]), (-7219, [(-7219, -2, 0.1410)]), (-7251, [(-7251, -12, 5.066)]), (-7259, [(-7259, 16, 9.001)]), (-7291, [(-7291, 0, 0)]), (-7331, [(-7331, 10, 3.499)]), (-7339, [(-7339, 6, 1.259)]), (-7379, [(-7379, -12, 5.022)]), (-7411, [(-7411, -6, 1.253)]), (-7419, [(-7419, -18, 11.27)]), (-7451, [(-7451, -26, 23.46)]), (-7459, [(-7459, 6, 1.249)]), (-7491, [(-7491, 4, 0.5538)]), (-7499, [(-7499, -2, 0.1384)]), (-7531, [(-7531, 6, 1.243)]), (-7539, [(-7539, -8, 2.208)]), (-7571, [(-7571, -2, 0.1377)]), (-7579, [(-7579, 0, 0)]), (-7611, [(-7611, 0, 0)]), (-7619, [(-7619, 2, 0.1373)]), (-7651, [(-7651, 0, 0)]), (-7691, [(-7691, 10, 3.416)]), (-7699, [(-7699, 2, 0.1366)]), (-7739, [(-7739, 8, 2.179)]), (-7771, [(-7771, 2, 0.1359)]), (-7779, [(-7779, -2, 0.1359)]), (-7811, [(-7811, 18, 10.98)]), (-7819, [(-7819, -8, 2.168)]), (-7851, [(-7851, -4, 0.5410)]), (-7859, [(-7859, -8, 2.163)]), (-7891, [(-7891, -4, 0.5396)]), (-7899, [(-7899, 6, 1.213)]), (-7931, [(-7931, 16, 8.612)]), (-7939, [(-7939, 4, 0.5380)]), (-7971, [(-7971, -6, 1.208)]), (-7979, [(-7979, 4, 0.5366)]), (-8011, [(-8011, 10, 3.347)]), (-8051, [(-8051, 0, 0)]), (-8059, [(-8059, 2, 0.1335)]), (-8099, [(-8099, 12, 4.794)]), (-8131, [(-8131, -8, 2.126)]), (-8139, [(-8139, 2, 0.1328)]), (-8171, [(-8171, 10, 3.314)]), (-8179, [(-8179, -10, 3.312)]), (-8211, [(-8211, 20, 13.22)]), (-8219, [(-8219, 2, 0.1322)]), (-8251, [(-8251, 0, 0)]), (-8259, [(-8259, -6, 1.187)]), (-8291, [(-8291, 2, 0.1316)]), (-8299, [(-8299, -16, 8.418)]), (-8331, [(-8331, -14, 6.433)]), (-8339, [(-8339, -8, 2.100)]), (-8371, [(-8371, -2, 0.1310)]), (-8411, [(-8411, -12, 4.704)]), (-8419, [(-8419, -2, 0.1306)]), (-8459, [(-8459, -10, 3.257)]), (-8491, [(-8491, 8, 2.081)]), (-8499, [(-8499, -2, 0.1300)]), (-8531, [(-8531, 10, 3.243)]), (-8539, [(-8539, -12, 4.668)]), (-8571, [(-8571, 6, 1.165)]), (-8579, [(-8579, -4, 0.5175)]), (-8611, [(-8611, -12, 4.649)]), (-8651, [(-8651, 14, 6.313)]), (-8659, [(-8659, 4, 0.5151)]), (-8691, [(-8691, -6, 1.157)]), (-8699, [(-8699, 16, 8.223)]), (-8731, [(-8731, 12, 4.617)]), (-8779, [(-8779, -6, 1.151)]), (-8819, [(-8819, 0, 0)]), (-8851, [(-8851, -12, 4.585)]), (-8859, [(-8859, 2, 0.1273)]), (-8891, [(-8891, -10, 3.177)]), (-8899, [(-8899, -4, 0.5081)]), (-8931, [(-8931, -8, 2.029)]), (-8939, [(-8939, 12, 4.563)]), (-8971, [(-8971, -10, 3.163)]), (-8979, [(-8979, 14, 6.197)]), (-9011, [(-9011, -12, 4.544)]), (-9019, [(-9019, 0, 0)]), (-9051, [(-9051, 12, 4.534)]), (-9059, [(-9059, 10, 3.147)]), (-9091, [(-9091, 4, 0.5027)]), (-9131, [(-9131, -24, 18.06)]), (-9139, [(-9139, -4, 0.5014)]), (-9179, [(-9179, 6, 1.126)]), (-9211, [(-9211, -20, 12.49)]), (-9219, [(-9219, 16, 7.987)]), (-9259, [(-9259, 0, 0)]), (-9291, [(-9291, -2, 0.1243)]), (-9299, [(-9299, -6, 1.118)]), (-9331, [(-9331, 0, 0)]), (-9339, [(-9339, -6, 1.116)]), (-9371, [(-9371, -2, 0.1238)]), (-9379, [(-9379, -2, 0.1237)]), (-9411, [(-9411, -10, 3.088)]), (-9419, [(-9419, 22, 14.94)]), (-9451, [(-9451, 4, 0.4930)]), (-9491, [(-9491, 14, 6.027)]), (-9499, [(-9499, -8, 1.967)]), (-9539, [(-9539, 16, 7.852)]), (-9571, [(-9571, 0, 0)]), (-9579, [(-9579, -24, 17.63)]), (-9611, [(-9611, -12, 4.400)]), (-9619, [(-9619, -2, 0.1222)]), (-9651, [(-9651, 8, 1.952)]), (-9659, [(-9659, -20, 12.19)]), (-9691, [(-9691, 8, 1.948)]), (-9699, [(-9699, 0, 0)]), (-9731, [(-9731, 8, 1.944)]), (-9739, [(-9739, 2, 0.1214)]), (-9771, [(-9771, -14, 5.940)]), (-9779, [(-9779, 16, 7.755)]), (-9811, [(-9811, -6, 1.089)]), (-9851, [(-9851, 8, 1.932)]), (-9859, [(-9859, -16, 7.724)]), (-9899, [(-9899, -6, 1.084)]), (-9931, [(-9931, -10, 3.006)]), (-9939, [(-9939, 8, 1.923)]), (-9979, [(-9979, -10, 2.999)])]]

# map: (1 |-> 1.0) -> 1, Fractional ideal (2) -> 1, Fractional ideal (5) -> -1
[-3, 3/2 + (-1/2)*i + 1957/2*j + 1/2*k, [(8, [(8, 0, 0)]), (12, [(12, 0, 0)]), (17, [(17, -2, 0.5189)]), (28, [(28, 0, 0)]), (33, [(33, -2, 0.3724)]), (57, [(57, 2, 0.2834)]), (73, [(73, 2, 0.2504)]), (88, [(88, -2, 0.4561)]), (92, [(92, 0, 0)]), (97, [(97, 0, 0)]), (113, [(113, 2, 0.2013)]), (137, [(137, 2, 0.1828)]), (152, [(152, -2, 0.3471)]), (168, [(168, 4, 1.321)]), (172, [(172, 4, 1.305)]), (177, [(177, 0, 0)]), (188, [(188, -4, 1.248)]), (193, [(193, -2, 0.1540)]), (217, [(217, -4, 0.5809)]), (232, [(232, -4, 1.124)]), (233, [(233, -4, 0.5606)]), (248, [(248, 0, 0)]), (257, [(257, 4, 0.5338)]), (268, [(268, 2, 0.2614)]), (273, [(273, 4, 0.5179)]), (312, [(312, 0, 0)]), (313, [(313, 4, 0.4837)]), (328, [(328, -2, 0.2363)]), (332, [(332, -2, 0.2348)]), (337, [(337, 2, 0.1165)]), (348, [(348, 0, 0)]), (353, [(353, 0, 0)]), (377, [(377, 0, 0)]), (393, [(393, -4, 0.4317)]), (408, [(408, 2, 0.2118)]), (412, [(412, 0, 0)]), (417, [(417, -6, 0.9429)]), (428, [(428, 2, 0.2068)]), (433, [(433, -6, 0.9253)]), (457, [(457, 6, 0.9007)]), (472, [(472, 0, 0)]), (473, [(473, 4, 0.3935)]), (488, [(488, 0, 0)]), (492, [(492, 2, 0.1929)]), (497, [(497, -4, 0.3839)]), (508, [(508, 4, 0.7594)]), (537, [(537, 2, 0.09233)]), (552, [(552, 4, 0.7285)]), (553, [(553, 0, 0)]), (568, [(568, 4, 0.7182)]), (572, [(572, 4, 0.7156)]), (577, [(577, 2, 0.08907)]), (593, [(593, -6, 0.7907)]), (617, [(617, -4, 0.3445)]), (632, [(632, -4, 0.6808)]), (633, [(633, -2, 0.08504)]), (652, [(652, -2, 0.1676)]), (668, [(668, 4, 0.6622)]), (673, [(673, 0, 0)]), (697, [(697, -6, 0.7293)]), (712, [(712, -2, 0.1604)]), (713, [(713, 4, 0.3205)]), (728, [(728, -4, 0.6344)]), (732, [(732, -4, 0.6326)]), (737, [(737, -2, 0.07881)]), (748, [(748, -2, 0.1565)]), (753, [(753, 2, 0.07797)]), (777, [(777, 4, 0.3070)]), (793, [(793, -4, 0.3039)]), (808, [(808, 0, 0)]), (812, [(812, -4, 0.6006)]), (817, [(817, 0, 0)]), (857, [(857, 2, 0.07308)]), (872, [(872, 0, 0)]), (888, [(888, -4, 0.5744)]), (892, [(892, 4, 0.5731)]), (897, [(897, -4, 0.2857)]), (908, [(908, 4, 0.5680)]), (913, [(913, 2, 0.07081)]), (937, [(937, -2, 0.06989)]), (952, [(952, 0, 0)]), (953, [(953, 2, 0.06930)]), (977, [(977, 6, 0.6160)]), (988, [(988, -4, 0.5445)]), (993, [(993, -2, 0.06789)]), (1032, [(1032, -4, 0.5328)]), (1033, [(1033, 2, 0.06657)]), (1048, [(1048, -4, 0.5287)]), (1052, [(1052, 0, 0)]), (1057, [(1057, 4, 0.2632)]), (1068, [(1068, -2, 0.1309)]), (1073, [(1073, 0, 0)]), (1097, [(1097, -2, 0.06460)]), (1112, [(1112, 2, 0.1283)]), (1113, [(1113, 4, 0.2565)]), (1128, [(1128, 0, 0)]), (1132, [(1132, -2, 0.1272)]), (1137, [(1137, 2, 0.06345)]), (1148, [(1148, -4, 0.5052)]), (1153, [(1153, 2, 0.06301)]), (1177, [(1177, 2, 0.06236)]), (1192, [(1192, 4, 0.4957)]), (1193, [(1193, -4, 0.2478)]), (1208, [(1208, 4, 0.4925)]), (1212, [(1212, 0, 0)]), (1217, [(1217, 2, 0.06133)]), (1228, [(1228, 2, 0.1221)]), (1257, [(1257, 2, 0.06034)]), (1272, [(1272, -4, 0.4799)]), (1273, [(1273, 2, 0.05996)]), (1288, [(1288, 4, 0.4769)]), (1292, [(1292, 2, 0.1190)]), (1297, [(1297, -4, 0.2376)]), (1308, [(1308, 4, 0.4733)]), (1313, [(1313, 4, 0.2362)]), (1337, [(1337, 0, 0)]), (1353, [(1353, -2, 0.05816)]), (1388, [(1388, -2, 0.1149)]), (1393, [(1393, -4, 0.2293)]), (1417, [(1417, -4, 0.2273)]), (1432, [(1432, -2, 0.1131)]), (1433, [(1433, -6, 0.5087)]), (1448, [(1448, 0, 0)]), (1457, [(1457, 4, 0.2242)]), (1468, [(1468, -4, 0.4467)]), (1473, [(1473, 4, 0.2230)]), (1497, [(1497, -4, 0.2212)]), (1513, [(1513, 6, 0.4950)]), (1528, [(1528, -4, 0.4379)]), (1532, [(1532, 4, 0.4373)]), (1537, [(1537, 4, 0.2183)]), (1553, [(1553, -2, 0.05429)]), (1577, [(1577, -2, 0.05388)]), (1592, [(1592, 4, 0.4290)]), (1608, [(1608, -2, 0.1067)]), (1612, [(1612, 0, 0)]), (1628, [(1628, 4, 0.4242)]), (1633, [(1633, 0, 0)]), (1657, [(1657, -2, 0.05256)]), (1672, [(1672, 2, 0.1046)]), (1673, [(1673, 0, 0)]), (1688, [(1688, -2, 0.1041)]), (1697, [(1697, -6, 0.4674)]), (1708, [(1708, 0, 0)]), (1713, [(1713, 0, 0)]), (1752, [(1752, -2, 0.1022)]), (1753, [(1753, 2, 0.05110)]), (1768, [(1768, 0, 0)]), (1772, [(1772, 2, 0.1016)]), (1777, [(1777, 0, 0)]), (1788, [(1788, 0, 0)]), (1793, [(1793, -2, 0.05053)]), (1817, [(1817, 0, 0)]), (1832, [(1832, -4, 0.3999)]), (1833, [(1833, 0, 0)]), (1848, [(1848, 0, 0)]), (1852, [(1852, -4, 0.3977)]), (1857, [(1857, 0, 0)]), (1868, [(1868, -4, 0.3960)]), (1873, [(1873, -4, 0.1977)]), (1897, [(1897, 0, 0)]), (1912, [(1912, 4, 0.3914)]), (1913, [(1913, -2, 0.04892)]), (1928, [(1928, 2, 0.09745)]), (1932, [(1932, 4, 0.3894)]), (1937, [(1937, 0, 0)]), (1948, [(1948, 4, 0.3878)]), (1977, [(1977, 6, 0.4331)]), (1992, [(1992, -2, 0.09587)]), (1993, [(1993, 2, 0.04792)]), (2008, [(2008, 6, 0.8594)]), (2012, [(2012, 0, 0)]), (2017, [(2017, 2, 0.04764)]), (2033, [(2033, 6, 0.4271)]), (2072, [(2072, -4, 0.3760)]), (2073, [(2073, -2, 0.04699)]), (2092, [(2092, -6, 0.8420)]), (2108, [(2108, 0, 0)]), (2113, [(2113, -2, 0.04654)]), (2137, [(2137, -2, 0.04628)]), (2152, [(2152, 4, 0.3690)]), (2153, [(2153, 4, 0.1844)]), (2168, [(2168, 8, 1.470)]), (2172, [(2172, 8, 1.469)]), (2177, [(2177, 0, 0)]), (2188, [(2188, -6, 0.8233)]), (2193, [(2193, 8, 0.7310)]), (2217, [(2217, 8, 0.7270)]), (2233, [(2233, 4, 0.1811)]), (2248, [(2248, 0, 0)]), (2252, [(2252, -8, 1.443)]), (2257, [(2257, -4, 0.1801)]), (2273, [(2273, -4, 0.1795)]), (2297, [(2297, 6, 0.4018)]), (2328, [(2328, -8, 1.419)]), (2332, [(2332, 0, 0)]), (2337, [(2337, -2, 0.04426)]), (2348, [(2348, 2, 0.08831)]), (2353, [(2353, -4, 0.1764)]), (2377, [(2377, 0, 0)]), (2392, [(2392, 4, 0.3500)]), (2393, [(2393, 10, 1.093)]), (2408, [(2408, -8, 1.395)]), (2417, [(2417, -4, 0.1741)]), (2428, [(2428, 4, 0.3474)]), (2433, [(2433, -4, 0.1735)]), (2472, [(2472, 0, 0)]), (2473, [(2473, 6, 0.3872)]), (2488, [(2488, 0, 0)]), (2492, [(2492, -4, 0.3429)]), (2497, [(2497, 8, 0.6850)]), (2508, [(2508, 2, 0.08544)]), (2513, [(2513, 0, 0)]), (2537, [(2537, 8, 0.6796)]), (2552, [(2552, 4, 0.3388)]), (2553, [(2553, 0, 0)]), (2568, [(2568, -6, 0.7599)]), (2572, [(2572, 0, 0)]), (2577, [(2577, -6, 0.3793)]), (2588, [(2588, 0, 0)]), (2593, [(2593, -2, 0.04202)]), (2617, [(2617, 0, 0)]), (2632, [(2632, 4, 0.3336)]), (2633, [(2633, -2, 0.04170)]), (2648, [(2648, -2, 0.08315)]), (2652, [(2652, 4, 0.3324)]), (2657, [(2657, -6, 0.3736)]), (2668, [(2668, 0, 0)]), (2697, [(2697, 0, 0)]), (2712, [(2712, 6, 0.7395)]), (2713, [(2713, -6, 0.3697)]), (2728, [(2728, 4, 0.3277)]), (2732, [(2732, 2, 0.08186)]), (2737, [(2737, -4, 0.1636)]), (2748, [(2748, 0, 0)]), (2753, [(2753, -2, 0.04078)]), (2777, [(2777, -6, 0.3654)]), (2792, [(2792, -8, 1.296)]), (2812, [(2812, -4, 0.3228)]), (2828, [(2828, -4, 0.3219)]), (2833, [(2833, -6, 0.3618)]), (2857, [(2857, -2, 0.04003)]), (2872, [(2872, -8, 1.278)]), (2892, [(2892, -2, 0.07957)]), (2897, [(2897, 2, 0.03975)]), (2908, [(2908, -8, 1.270)]), (2913, [(2913, -6, 0.3568)]), (2937, [(2937, 2, 0.03948)]), (2953, [(2953, -2, 0.03937)]), (2968, [(2968, 4, 0.3142)]), (2972, [(2972, 0, 0)]), (2977, [(2977, 0, 0)]), (2993, [(2993, 2, 0.03911)]), (3017, [(3017, -4, 0.1558)]), (3032, [(3032, 6, 0.6994)]), (3048, [(3048, 4, 0.3100)]), (3052, [(3052, 0, 0)]), (3057, [(3057, -6, 0.3483)]), (3068, [(3068, -8, 1.236)]), (3073, [(3073, 0, 0)]), (3097, [(3097, 6, 0.3460)]), (3112, [(3112, 0, 0)]), (3113, [(3113, -2, 0.03835)]), (3128, [(3128, -4, 0.3060)]), (3137, [(3137, -2, 0.03820)]), (3148, [(3148, 0, 0)]), (3153, [(3153, 6, 0.3429)]), (3192, [(3192, 0, 0)]), (3193, [(3193, 8, 0.6058)]), (3208, [(3208, -10, 1.889)]), (3212, [(3212, 10, 1.888)]), (3217, [(3217, 4, 0.1509)]), (3228, [(3228, 4, 0.3013)]), (3233, [(3233, 0, 0)]), (3257, [(3257, -2, 0.03749)]), (3272, [(3272, 2, 0.07481)]), (3273, [(3273, -2, 0.03740)]), (3288, [(3288, 6, 0.6716)]), (3292, [(3292, -4, 0.2983)]), (3297, [(3297, 4, 0.1490)]), (3308, [(3308, -2, 0.07440)]), (3313, [(3313, -4, 0.1487)]), (3337, [(3337, 0, 0)]), (3352, [(3352, 2, 0.07391)]), (3353, [(3353, -8, 0.5912)]), (3368, [(3368, -4, 0.2949)]), (3372, [(3372, 0, 0)]), (3377, [(3377, 2, 0.03682)]), (3417, [(3417, -2, 0.03660)]), (3432, [(3432, 0, 0)]), (3433, [(3433, -2, 0.03651)]), (3448, [(3448, 8, 1.166)]), (3452, [(3452, -4, 0.2913)]), (3457, [(3457, 6, 0.3275)]), (3473, [(3473, 4, 0.1452)]), (3497, [(3497, 8, 0.5789)]), (3512, [(3512, 8, 1.155)]), (3513, [(3513, 2, 0.03610)]), (3532, [(3532, 6, 0.6480)]), (3548, [(3548, 8, 1.149)]), (3553, [(3553, -2, 0.03589)]), (3592, [(3592, -6, 0.6426)]), (3593, [(3593, 0, 0)]), (3608, [(3608, -2, 0.07124)]), (3612, [(3612, 0, 0)]), (3617, [(3617, 10, 0.8894)]), (3628, [(3628, 0, 0)]), (3633, [(3633, 4, 0.1420)]), (3657, [(3657, -12, 1.274)]), (3673, [(3673, -4, 0.1412)]), (3688, [(3688, 4, 0.2818)]), (3692, [(3692, 0, 0)]), (3697, [(3697, -2, 0.03519)]), (3713, [(3713, -8, 0.5618)]), (3737, [(3737, -8, 0.5600)]), (3752, [(3752, 4, 0.2794)]), (3768, [(3768, 0, 0)]), (3772, [(3772, 0, 0)]), (3777, [(3777, -4, 0.1392)]), (3788, [(3788, 4, 0.2781)]), (3793, [(3793, 6, 0.3126)]), (3817, [(3817, 6, 0.3117)]), (3832, [(3832, 4, 0.2765)]), (3833, [(3833, 2, 0.03456)]), (3848, [(3848, -4, 0.2759)]), (3857, [(3857, -4, 0.1378)]), (3868, [(3868, -4, 0.2752)]), (3873, [(3873, -4, 0.1375)]), (3912, [(3912, -2, 0.06841)]), (3913, [(3913, -8, 0.5472)]), (3928, [(3928, -4, 0.2731)]), (3932, [(3932, -4, 0.2730)]), (3937, [(3937, 4, 0.1364)]), (3948, [(3948, 4, 0.2724)]), (3953, [(3953, 4, 0.1361)]), (3977, [(3977, 0, 0)]), (3992, [(3992, -4, 0.2709)]), (4008, [(4008, -8, 1.081)]), (4012, [(4012, 0, 0)]), (4017, [(4017, 4, 0.1350)]), (4028, [(4028, 0, 0)]), (4033, [(4033, 8, 0.5390)]), (4057, [(4057, -10, 0.8397)]), (4072, [(4072, 0, 0)]), (4073, [(4073, 4, 0.1341)]), (4088, [(4088, 0, 0)]), (4092, [(4092, -8, 1.070)]), (4097, [(4097, 6, 0.3008)]), (4108, [(4108, 4, 0.2670)]), (4137, [(4137, 0, 0)]), (4152, [(4152, 0, 0)]), (4153, [(4153, 4, 0.1328)]), (4168, [(4168, 2, 0.06628)]), (4172, [(4172, 0, 0)]), (4177, [(4177, -8, 0.5297)]), (4188, [(4188, -4, 0.2645)]), (4193, [(4193, 4, 0.1322)]), (4217, [(4217, 10, 0.8237)]), (4233, [(4233, 6, 0.2960)]), (4252, [(4252, -4, 0.2625)]), (4268, [(4268, -4, 0.2620)]), (4273, [(4273, -6, 0.2946)]), (4297, [(4297, 0, 0)]), (4313, [(4313, -8, 0.5212)]), (4328, [(4328, -4, 0.2602)]), (4337, [(4337, -4, 0.1299)]), (4348, [(4348, -4, 0.2596)]), (4353, [(4353, -10, 0.8107)]), (4377, [(4377, 2, 0.03234)]), (4393, [(4393, 12, 1.162)]), (4408, [(4408, -4, 0.2578)]), (4412, [(4412, -4, 0.2577)]), (4417, [(4417, -4, 0.1288)]), (4433, [(4433, 0, 0)]), (4457, [(4457, 0, 0)]), (4472, [(4472, -8, 1.024)]), (4488, [(4488, 10, 1.597)]), (4492, [(4492, -2, 0.06384)]), (4497, [(4497, 14, 1.563)]), (4513, [(4513, 4, 0.1274)]), (4537, [(4537, 8, 0.5082)]), (4552, [(4552, 10, 1.586)]), (4553, [(4553, 0, 0)]), (4568, [(4568, 0, 0)]), (4577, [(4577, -4, 0.1265)]), (4588, [(4588, 4, 0.2527)]), (4593, [(4593, 2, 0.03157)]), (4632, [(4632, 6, 0.5658)]), (4633, [(4633, 2, 0.03143)]), (4648, [(4648, -4, 0.2511)]), (4652, [(4652, 2, 0.06274)]), (4657, [(4657, -6, 0.2822)]), (4668, [(4668, -4, 0.2505)]), (4673, [(4673, -2, 0.03130)]), (4697, [(4697, 0, 0)]), (4712, [(4712, -4, 0.2493)]), (4713, [(4713, -8, 0.4986)]), (4728, [(4728, -4, 0.2489)]), (4737, [(4737, -6, 0.2798)]), (4748, [(4748, 6, 0.5589)]), (4777, [(4777, 0, 0)]), (4792, [(4792, 0, 0)]), (4793, [(4793, 6, 0.2781)]), (4808, [(4808, 2, 0.06171)]), (4812, [(4812, -6, 0.5552)]), (4817, [(4817, 6, 0.2774)]), (4828, [(4828, 4, 0.2463)]), (4857, [(4857, 6, 0.2763)]), (4872, [(4872, -4, 0.2452)]), (4873, [(4873, -6, 0.2758)]), (4888, [(4888, 0, 0)]), (4892, [(4892, -4, 0.2447)]), (4897, [(4897, 4, 0.1223)]), (4908, [(4908, -2, 0.06108)]), (4937, [(4937, -2, 0.03045)]), (4952, [(4952, 0, 0)]), (4953, [(4953, 0, 0)]), (4972, [(4972, -2, 0.06068)]), (4988, [(4988, 8, 0.9694)]), (4993, [(4993, 2, 0.03028)]), (5017, [(5017, 4, 0.1208)]), (5032, [(5032, -4, 0.2413)]), (5033, [(5033, 12, 1.086)]), (5048, [(5048, 0, 0)]), (5052, [(5052, 0, 0)]), (5057, [(5057, -12, 1.083)]), (5068, [(5068, -8, 0.9617)]), (5073, [(5073, -6, 0.2703)]), (5097, [(5097, 2, 0.02997)]), (5113, [(5113, -6, 0.2693)]), (5128, [(5128, 4, 0.2390)]), (5132, [(5132, 8, 0.9557)]), (5137, [(5137, -12, 1.075)]), (5153, [(5153, 10, 0.7451)]), (5177, [(5177, -4, 0.1189)]), (5192, [(5192, 0, 0)]), (5208, [(5208, 4, 0.2372)]), (5212, [(5212, 8, 0.9483)]), (5217, [(5217, 8, 0.4739)]), (5228, [(5228, 6, 0.5326)]), (5233, [(5233, 8, 0.4732)]), (5257, [(5257, -4, 0.1180)]), (5272, [(5272, -10, 1.473)]), (5273, [(5273, -6, 0.2652)]), (5288, [(5288, 12, 2.118)]), (5297, [(5297, -2, 0.02940)]), (5308, [(5308, 4, 0.2349)]), (5313, [(5313, -4, 0.1174)]), (5352, [(5352, 8, 0.9358)]), (5353, [(5353, 0, 0)]), (5368, [(5368, -8, 0.9344)]), (5372, [(5372, -4, 0.2335)]), (5377, [(5377, 10, 0.7294)]), (5388, [(5388, 2, 0.05829)]), (5393, [(5393, 2, 0.02913)]), (5417, [(5417, -6, 0.2616)]), (5432, [(5432, 8, 0.9289)]), (5433, [(5433, -2, 0.02903)]), (5448, [(5448, 4, 0.2319)]), (5452, [(5452, 4, 0.2318)]), (5457, [(5457, 6, 0.2607)]), (5468, [(5468, -4, 0.2315)]), (5473, [(5473, 8, 0.4627)]), (5497, [(5497, 4, 0.1154)]), (5512, [(5512, -8, 0.9221)]), (5513, [(5513, 4, 0.1153)]), (5528, [(5528, 2, 0.05755)]), (5532, [(5532, 4, 0.2301)]), (5548, [(5548, 2, 0.05745)]), (5592, [(5592, -4, 0.2289)]), (5593, [(5593, -12, 1.030)]), (5608, [(5608, -4, 0.2286)]), (5612, [(5612, 4, 0.2285)]), (5617, [(5617, 2, 0.02855)]), (5628, [(5628, -4, 0.2281)]), (5633, [(5633, 0, 0)]), (5657, [(5657, -8, 0.4551)]), (5672, [(5672, 4, 0.2273)]), (5673, [(5673, -8, 0.4545)]), (5692, [(5692, 0, 0)]), (5708, [(5708, -10, 1.416)]), (5713, [(5713, -4, 0.1132)]), (5737, [(5737, -10, 0.7062)]), (5752, [(5752, -8, 0.9027)]), (5753, [(5753, -10, 0.7052)]), (5768, [(5768, 0, 0)]), (5772, [(5772, -4, 0.2253)]), (5777, [(5777, 0, 0)]), (5788, [(5788, 0, 0)]), (5793, [(5793, -2, 0.02811)]), (5817, [(5817, 4, 0.1122)]), (5833, [(5833, 2, 0.02801)]), (5848, [(5848, 0, 0)]), (5852, [(5852, 4, 0.2237)]), (5857, [(5857, -4, 0.1118)]), (5873, [(5873, -12, 1.005)]), (5897, [(5897, -4, 0.1114)]), (5912, [(5912, 0, 0)]), (5928, [(5928, 8, 0.8892)]), (5932, [(5932, 8, 0.8889)]), (5937, [(5937, 0, 0)]), (5948, [(5948, -4, 0.2219)]), (5953, [(5953, 6, 0.2496)]), (5977, [(5977, 4, 0.1107)]), (5992, [(5992, -4, 0.2211)]), (5993, [(5993, -4, 0.1105)]), (6008, [(6008, 8, 0.8833)]), (6017, [(6017, 6, 0.2482)]), (6028, [(6028, 2, 0.05511)]), (6033, [(6033, 10, 0.6886)]), (6072, [(6072, -4, 0.2197)]), (6073, [(6073, -6, 0.2471)]), (6088, [(6088, 6, 0.4936)]), (6092, [(6092, -6, 0.4934)]), (6097, [(6097, 4, 0.1096)]), (6108, [(6108, -4, 0.2190)]), (6113, [(6113, -2, 0.02736)]), (6152, [(6152, 6, 0.4910)]), (6153, [(6153, 8, 0.4364)]), (6168, [(6168, 4, 0.2179)]), (6172, [(6172, 4, 0.2179)]), (6177, [(6177, -4, 0.1089)]), (6188, [(6188, -4, 0.2176)]), (6193, [(6193, 4, 0.1087)]), (6217, [(6217, 14, 1.330)]), (6232, [(6232, -2, 0.05420)]), (6233, [(6233, 8, 0.4336)]), (6248, [(6248, 0, 0)]), (6252, [(6252, -6, 0.4871)]), (6257, [(6257, 4, 0.1082)]), (6268, [(6268, 0, 0)]), (6297, [(6297, -6, 0.2427)]), (6312, [(6312, -4, 0.2154)]), (6313, [(6313, 0, 0)]), (6328, [(6328, -8, 0.8606)]), (6332, [(6332, 4, 0.2151)]), (6337, [(6337, 2, 0.02688)]), (6353, [(6353, -6, 0.2416)]), (6377, [(6377, 8, 0.4287)]), (6392, [(6392, 4, 0.2141)]), (6393, [(6393, 4, 0.1070)]), (6412, [(6412, -4, 0.2137)]), (6428, [(6428, 4, 0.2135)]), (6433, [(6433, 8, 0.4268)]), (6457, [(6457, -6, 0.2396)]), (6472, [(6472, 0, 0)]), (6473, [(6473, 2, 0.02659)]), (6488, [(6488, -4, 0.2125)]), (6492, [(6492, 0, 0)]), (6497, [(6497, 6, 0.2389)]), (6508, [(6508, 2, 0.05304)]), (6513, [(6513, 4, 0.1060)]), (6537, [(6537, -6, 0.2382)]), (6553, [(6553, -4, 0.1057)]), (6568, [(6568, -8, 0.8448)]), (6572, [(6572, 0, 0)]), (6577, [(6577, -10, 0.6595)]), (6593, [(6593, 6, 0.2371)]), (6617, [(6617, 4, 0.1052)]), (6632, [(6632, 4, 0.2102)]), (6648, [(6648, -8, 0.8397)]), (6652, [(6652, 0, 0)]), (6657, [(6657, -8, 0.4196)]), (6668, [(6668, -2, 0.05240)]), (6673, [(6673, -2, 0.02619)]), (6697, [(6697, 0, 0)]), (6712, [(6712, 8, 0.8357)]), (6737, [(6737, 6, 0.2346)]), (6748, [(6748, 12, 1.875)]), (6753, [(6753, 2, 0.02604)]), (6792, [(6792, 2, 0.05192)]), (6793, [(6793, -6, 0.2336)]), (6808, [(6808, 8, 0.8298)]), (6812, [(6812, 0, 0)]), (6817, [(6817, 6, 0.2332)]), (6828, [(6828, -6, 0.4661)]), (6833, [(6833, 2, 0.02588)]), (6857, [(6857, 6, 0.2325)]), (6872, [(6872, -10, 1.290)]), (6873, [(6873, 4, 0.1032)]), (6888, [(6888, 4, 0.2062)]), (6892, [(6892, 6, 0.4639)]), (6908, [(6908, 8, 0.8237)]), (6913, [(6913, -8, 0.4117)]), (6937, [(6937, 4, 0.1027)]), (6952, [(6952, 4, 0.2053)]), (6953, [(6953, 6, 0.2309)]), (6968, [(6968, -4, 0.2050)]), (6972, [(6972, -4, 0.2050)]), (6977, [(6977, 0, 0)]), (6988, [(6988, 6, 0.4607)]), (7017, [(7017, 0, 0)]), (7032, [(7032, 8, 0.8164)]), (7033, [(7033, -4, 0.1020)]), (7048, [(7048, 0, 0)]), (7052, [(7052, 4, 0.2038)]), (7057, [(7057, -4, 0.1019)]), (7068, [(7068, -8, 0.8143)]), (7073, [(7073, -4, 0.1018)]), (7097, [(7097, 8, 0.4063)]), (7112, [(7112, 0, 0)]), (7113, [(7113, -2, 0.02537)]), (7132, [(7132, -4, 0.2027)]), (7148, [(7148, -6, 0.4555)]), (7153, [(7153, -8, 0.4047)]), (7177, [(7177, -2, 0.02525)]), (7192, [(7192, 0, 0)]), (7193, [(7193, 8, 0.4036)]), (7208, [(7208, -12, 1.814)]), (7212, [(7212, 2, 0.05039)]), (7217, [(7217, 0, 0)]), (7228, [(7228, -4, 0.2013)]), (7233, [(7233, 2, 0.02516)]), (7257, [(7257, 0, 0)]), (7273, [(7273, 0, 0)]), (7288, [(7288, 0, 0)]), (7292, [(7292, 8, 0.8017)]), (7297, [(7297, -4, 0.1002)]), (7313, [(7313, 8, 0.4003)]), (7337, [(7337, 0, 0)]), (7352, [(7352, -8, 0.7985)]), (7368, [(7368, -2, 0.04985)]), (7372, [(7372, 0, 0)]), (7377, [(7377, 4, 0.09964)]), (7388, [(7388, -8, 0.7965)]), (7393, [(7393, 10, 0.6221)]), (7417, [(7417, -2, 0.02484)]), (7432, [(7432, -4, 0.1985)]), (7433, [(7433, -8, 0.3970)]), (7457, [(7457, 2, 0.02478)]), (7468, [(7468, -2, 0.04951)]), (7473, [(7473, 4, 0.09900)]), (7512, [(7512, 4, 0.1975)]), (7513, [(7513, 6, 0.2221)]), (7528, [(7528, -4, 0.1973)]), (7532, [(7532, 4, 0.1972)]), (7537, [(7537, 2, 0.02464)]), (7548, [(7548, -4, 0.1970)]), (7553, [(7553, -4, 0.09847)]), (7577, [(7577, -2, 0.02458)]), (7592, [(7592, 0, 0)]), (7593, [(7593, 0, 0)]), (7608, [(7608, 8, 0.7849)]), (7612, [(7612, 0, 0)]), (7617, [(7617, -6, 0.2206)]), (7628, [(7628, 4, 0.1960)]), (7633, [(7633, 2, 0.02449)]), (7657, [(7657, 8, 0.3912)]), (7672, [(7672, 0, 0)]), (7673, [(7673, 0, 0)]), (7692, [(7692, -4, 0.1952)]), (7697, [(7697, -8, 0.3902)]), (7708, [(7708, -4, 0.1950)]), (7737, [(7737, -6, 0.2189)]), (7752, [(7752, 6, 0.4374)]), (7753, [(7753, -4, 0.09719)]), (7768, [(7768, 2, 0.04855)]), (7772, [(7772, -4, 0.1941)]), (7777, [(7777, 4, 0.09704)]), (7788, [(7788, 4, 0.1939)]), (7793, [(7793, -6, 0.2181)]), (7817, [(7817, 2, 0.02420)]), (7832, [(7832, -6, 0.4352)]), (7833, [(7833, 4, 0.09669)]), (7852, [(7852, 0, 0)]), (7868, [(7868, 8, 0.7718)]), (7873, [(7873, -4, 0.09645)]), (7897, [(7897, 0, 0)]), (7912, [(7912, -8, 0.7697)]), (7913, [(7913, -2, 0.02405)]), (7928, [(7928, -4, 0.1922)]), (7932, [(7932, 4, 0.1922)]), (7937, [(7937, -8, 0.3842)]), (7948, [(7948, 2, 0.04800)]), (7953, [(7953, 2, 0.02399)]), (7977, [(7977, 4, 0.09582)]), (7993, [(7993, 2, 0.02393)]), (8008, [(8008, -4, 0.1913)]), (8012, [(8012, -10, 1.195)]), (8017, [(8017, -10, 0.5974)]), (8033, [(8033, -4, 0.09548)]), (8057, [(8057, -4, 0.09534)]), (8072, [(8072, 2, 0.04763)]), (8088, [(8088, -6, 0.4282)]), (8097, [(8097, -2, 0.02378)]), (8108, [(8108, 4, 0.1901)]), (8113, [(8113, 0, 0)]), (8137, [(8137, 8, 0.3795)]), (8152, [(8152, -6, 0.4265)]), (8153, [(8153, 8, 0.3791)]), (8168, [(8168, 0, 0)]), (8177, [(8177, -12, 0.8518)]), (8188, [(8188, 0, 0)]), (8193, [(8193, -10, 0.5909)]), (8233, [(8233, -6, 0.2122)]), (8248, [(8248, 0, 0)]), (8252, [(8252, -4, 0.1884)]), (8257, [(8257, 4, 0.09418)]), (8268, [(8268, 0, 0)]), (8273, [(8273, 6, 0.2117)]), (8297, [(8297, -8, 0.3758)]), (8312, [(8312, 0, 0)]), (8313, [(8313, 10, 0.5866)]), (8328, [(8328, 2, 0.04689)]), (8332, [(8332, -8, 0.7500)]), (8337, [(8337, 4, 0.09373)]), (8348, [(8348, 0, 0)]), (8353, [(8353, -2, 0.02341)]), (8377, [(8377, 0, 0)]), (8392, [(8392, -2, 0.04671)]), (8393, [(8393, -8, 0.3736)]), (8408, [(8408, -2, 0.04666)]), (8412, [(8412, 8, 0.7465)]), (8417, [(8417, -10, 0.5830)]), (8457, [(8457, 2, 0.02326)]), (8472, [(8472, 0, 0)]), (8473, [(8473, 0, 0)]), (8488, [(8488, 8, 0.7431)]), (8492, [(8492, -6, 0.4179)]), (8497, [(8497, -4, 0.09284)]), (8508, [(8508, 8, 0.7422)]), (8513, [(8513, 4, 0.09275)]), (8537, [(8537, 2, 0.02316)]), (8552, [(8552, 8, 0.7403)]), (8553, [(8553, -16, 1.481)]), (8572, [(8572, 4, 0.1849)]), (8588, [(8588, -2, 0.04617)]), (8593, [(8593, -4, 0.09232)]), (8617, [(8617, -4, 0.09219)]), (8632, [(8632, 4, 0.1842)]), (8633, [(8633, 4, 0.09210)]), (8648, [(8648, 4, 0.1840)]), (8652, [(8652, 0, 0)]), (8657, [(8657, -8, 0.3679)]), (8668, [(8668, 8, 0.7354)]), (8697, [(8697, -4, 0.09177)]), (8713, [(8713, 2, 0.02292)]), (8728, [(8728, -2, 0.04580)]), (8732, [(8732, 0, 0)]), (8737, [(8737, -8, 0.3662)]), (8753, [(8753, 8, 0.3659)]), (8777, [(8777, 8, 0.3654)]), (8792, [(8792, 4, 0.1825)]), (8808, [(8808, 0, 0)]), (8812, [(8812, 0, 0)]), (8817, [(8817, 6, 0.2051)]), (8828, [(8828, -4, 0.1822)]), (8857, [(8857, 6, 0.2046)]), (8872, [(8872, 4, 0.1817)]), (8873, [(8873, -4, 0.09085)]), (8888, [(8888, -8, 0.7262)]), (8897, [(8897, 4, 0.09073)]), (8908, [(8908, -8, 0.7254)]), (8913, [(8913, -6, 0.2040)]), (8952, [(8952, 0, 0)]), (8953, [(8953, 8, 0.3618)]), (8968, [(8968, 4, 0.1807)]), (8972, [(8972, 6, 0.4066)]), (8977, [(8977, 4, 0.09032)]), (8988, [(8988, -4, 0.1805)]), (9017, [(9017, -4, 0.09012)]), (9032, [(9032, -2, 0.04502)]), (9033, [(9033, 6, 0.2026)]), (9048, [(9048, 0, 0)]), (9052, [(9052, 8, 0.7196)]), (9057, [(9057, 14, 1.102)]), (9068, [(9068, 8, 0.7190)]), (9073, [(9073, 8, 0.3594)]), (9097, [(9097, 10, 0.5608)]), (9112, [(9112, 10, 1.121)]), (9113, [(9113, 0, 0)]), (9128, [(9128, 4, 0.1791)]), (9132, [(9132, -2, 0.04478)]), (9137, [(9137, 2, 0.02238)]), (9148, [(9148, -8, 0.7158)]), (9177, [(9177, -4, 0.08933)]), (9192, [(9192, -4, 0.1785)]), (9193, [(9193, 4, 0.08926)]), (9208, [(9208, 4, 0.1784)]), (9217, [(9217, 4, 0.08914)]), (9228, [(9228, -2, 0.04454)]), (9233, [(9233, 0, 0)]), (9257, [(9257, -2, 0.02224)]), (9272, [(9272, 0, 0)]), (9273, [(9273, 8, 0.3555)]), (9292, [(9292, 4, 0.1776)]), (9308, [(9308, -4, 0.1774)]), (9313, [(9313, 6, 0.1995)]), (9337, [(9337, -8, 0.3543)]), (9352, [(9352, 0, 0)]), (9353, [(9353, -8, 0.3540)]), (9368, [(9368, 2, 0.04421)]), (9372, [(9372, -4, 0.1768)]), (9377, [(9377, 2, 0.02209)]), (9388, [(9388, -6, 0.3975)]), (9393, [(9393, 8, 0.3532)]), (9417, [(9417, -12, 0.7937)]), (9433, [(9433, -10, 0.5507)]), (9448, [(9448, 0, 0)]), (9452, [(9452, -2, 0.04401)]), (9473, [(9473, 8, 0.3517)]), (9497, [(9497, 4, 0.08782)]), (9512, [(9512, 0, 0)]), (9528, [(9528, -4, 0.1753)]), (9532, [(9532, 0, 0)]), (9548, [(9548, -4, 0.1752)]), (9553, [(9553, 4, 0.08756)]), (9577, [(9577, -4, 0.08745)]), (9592, [(9592, 0, 0)]), (9593, [(9593, -4, 0.08738)]), (9608, [(9608, -6, 0.3929)]), (9617, [(9617, 0, 0)]), (9628, [(9628, -4, 0.1744)]), (9672, [(9672, 8, 0.6961)]), (9673, [(9673, 2, 0.02175)]), (9688, [(9688, -12, 1.565)]), (9692, [(9692, 0, 0)]), (9697, [(9697, -2, 0.02173)]), (9708, [(9708, 0, 0)]), (9713, [(9713, -2, 0.02171)]), (9737, [(9737, 4, 0.08673)]), (9752, [(9752, -12, 1.560)]), (9753, [(9753, 2, 0.02166)]), (9768, [(9768, 4, 0.1732)]), (9772, [(9772, -4, 0.1731)]), (9777, [(9777, 0, 0)]), (9788, [(9788, 4, 0.1730)]), (9793, [(9793, -4, 0.08648)]), (9817, [(9817, -4, 0.08637)]), (9832, [(9832, 0, 0)]), (9833, [(9833, -6, 0.1942)]), (9848, [(9848, -4, 0.1725)]), (9852, [(9852, -12, 1.552)]), (9857, [(9857, 8, 0.3448)]), (9868, [(9868, 2, 0.04307)]), (9897, [(9897, 4, 0.08602)]), (9912, [(9912, -8, 0.6877)]), (9913, [(9913, -4, 0.08595)]), (9928, [(9928, 6, 0.3865)]), (9932, [(9932, -8, 0.6870)]), (9937, [(9937, -2, 0.02146)]), (9948, [(9948, 12, 1.544)]), (9953, [(9953, -8, 0.3431)]), (9977, [(9977, 4, 0.08568)]), (9992, [(9992, 2, 0.04281)]), (9993, [(9993, 10, 0.5351)])]]

# map: (1 |-> 1.0) -> 1, Fractional ideal (2) -> 1, Fractional ideal (5) -> 1
[-11, -45797 + (-45797)*i + (-320611)*j + (-45798)*k, [(1, [(1, 2, 0.7132)]), (24, [(24, 6, 2.620)]), (41, [(41, -6, 1.002)]), (44, [(44, -6, 1.935)]), (56, [(56, 0, 0)]), (76, [(76, 6, 1.473)]), (89, [(89, -6, 0.6804)]), (104, [(104, 0, 0)]), (124, [(124, 0, 0)]), (129, [(129, 0, 0)]), (136, [(136, -6, 1.101)]), (156, [(156, -12, 4.111)]), (161, [(161, 12, 2.023)]), (184, [(184, -12, 3.786)]), (201, [(201, -6, 0.4527)]), (204, [(204, 6, 0.8988)]), (209, [(209, 6, 0.4440)]), (236, [(236, 0, 0)]), (241, [(241, 6, 0.4135)]), (249, [(249, -18, 3.661)]), (264, [(264, -6, 0.7901)]), (281, [(281, 0, 0)]), (284, [(284, 12, 3.047)]), (296, [(296, 12, 2.985)]), (316, [(316, 12, 2.889)]), (321, [(321, -6, 0.3583)]), (329, [(329, 12, 1.416)]), (344, [(344, 0, 0)]), (364, [(364, 12, 2.691)]), (376, [(376, -12, 2.648)]), (401, [(401, -6, 0.3205)]), (409, [(409, -6, 0.3174)]), (424, [(424, 12, 2.494)]), (444, [(444, -12, 2.437)]), (449, [(449, -6, 0.3029)]), (456, [(456, 6, 0.6012)]), (476, [(476, 12, 2.354)]), (481, [(481, 12, 1.171)]), (489, [(489, 6, 0.2903)]), (521, [(521, 6, 0.2812)]), (524, [(524, -12, 2.243)]), (536, [(536, -6, 0.5545)]), (556, [(556, -6, 0.5444)]), (561, [(561, 6, 0.2710)]), (569, [(569, -6, 0.2691)]), (584, [(584, -6, 0.5312)]), (601, [(601, 18, 2.356)]), (604, [(604, -12, 2.089)]), (609, [(609, 12, 1.040)]), (616, [(616, -12, 2.069)]), (636, [(636, 0, 0)]), (641, [(641, -12, 1.014)]), (649, [(649, 12, 1.008)]), (664, [(664, 6, 0.4982)]), (681, [(681, 0, 0)]), (689, [(689, 0, 0)]), (696, [(696, 12, 1.946)]), (716, [(716, -6, 0.4798)]), (721, [(721, -24, 3.825)]), (744, [(744, 12, 1.883)]), (761, [(761, -6, 0.2327)]), (764, [(764, 0, 0)]), (769, [(769, -18, 2.083)]), (776, [(776, -12, 1.843)]), (796, [(796, 0, 0)]), (809, [(809, 0, 0)]), (824, [(824, 12, 1.789)]), (844, [(844, -6, 0.4419)]), (849, [(849, 18, 1.983)]), (856, [(856, 18, 3.949)]), (876, [(876, 18, 3.904)]), (881, [(881, 0, 0)]), (889, [(889, 0, 0)]), (904, [(904, -6, 0.4270)]), (921, [(921, 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[(5449, -6, 0.08696)]), (5464, [(5464, 30, 4.342)]), (5484, [(5484, -18, 1.560)]), (5489, [(5489, -12, 0.3466)]), (5496, [(5496, 24, 2.771)]), (5516, [(5516, 0, 0)]), (5521, [(5521, -24, 1.382)]), (5529, [(5529, 24, 1.381)]), (5561, [(5561, -6, 0.08608)]), (5564, [(5564, 12, 0.6884)]), (5569, [(5569, -6, 0.08601)]), (5576, [(5576, 6, 0.1719)]), (5596, [(5596, 36, 6.178)]), (5601, [(5601, -30, 2.144)]), (5609, [(5609, 12, 0.3428)]), (5624, [(5624, -24, 2.739)]), (5641, [(5641, 18, 0.7692)]), (5644, [(5644, 42, 8.373)]), (5649, [(5649, 12, 0.3416)]), (5656, [(5656, 12, 0.6828)]), (5676, [(5676, -24, 2.726)]), (5681, [(5681, -12, 0.3406)]), (5689, [(5689, -6, 0.08510)]), (5704, [(5704, -12, 0.6799)]), (5721, [(5721, 0, 0)]), (5729, [(5729, 18, 0.7632)]), (5736, [(5736, 0, 0)]), (5756, [(5756, -12, 0.6768)]), (5761, [(5761, 12, 0.3383)]), (5784, [(5784, 18, 1.519)]), (5801, [(5801, 0, 0)]), (5804, [(5804, 30, 4.213)]), (5809, [(5809, -12, 0.3369)]), (5816, [(5816, -12, 0.6733)]), (5836, 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0.3248)]), (6281, [(6281, 12, 0.3240)]), (6284, [(6284, 0, 0)]), (6289, [(6289, -18, 0.7285)]), (6296, [(6296, -12, 0.6472)]), (6316, [(6316, 30, 4.038)]), (6329, [(6329, 18, 0.7262)]), (6344, [(6344, -12, 0.6447)]), (6361, [(6361, -6, 0.08048)]), (6364, [(6364, -24, 2.575)]), (6369, [(6369, -30, 2.011)]), (6376, [(6376, 12, 0.6431)]), (6396, [(6396, -12, 0.6421)]), (6401, [(6401, 0, 0)]), (6409, [(6409, -48, 5.131)]), (6424, [(6424, -6, 0.1602)]), (6441, [(6441, -18, 0.7198)]), (6449, [(6449, 12, 0.3197)]), (6456, [(6456, -24, 2.556)]), (6476, [(6476, -42, 7.817)]), (6481, [(6481, 6, 0.07973)]), (6504, [(6504, -12, 0.6367)]), (6521, [(6521, 24, 1.272)]), (6524, [(6524, 0, 0)]), (6529, [(6529, 6, 0.07944)]), (6536, [(6536, 12, 0.6352)]), (6556, [(6556, 36, 5.708)]), (6569, [(6569, -18, 0.7128)]), (6584, [(6584, 24, 2.531)]), (6601, [(6601, -12, 0.3160)]), (6604, [(6604, -24, 2.528)]), (6609, [(6609, -36, 2.842)]), (6616, [(6616, -30, 3.946)]), (6636, [(6636, -24, 2.521)]), (6641, [(6641, 24, 1.260)]), (6649, [(6649, 12, 0.3149)]), (6681, [(6681, -24, 1.256)]), (6684, [(6684, -36, 5.653)]), (6689, [(6689, -6, 0.07848)]), (6716, [(6716, -24, 2.506)]), (6721, [(6721, 0, 0)]), (6729, [(6729, 42, 3.834)]), (6744, [(6744, -12, 0.6253)]), (6761, [(6761, 0, 0)]), (6764, [(6764, -6, 0.1561)]), (6769, [(6769, 36, 2.809)]), (6796, [(6796, -6, 0.1557)]), (6801, [(6801, 36, 2.802)]), (6809, [(6809, 24, 1.245)]), (6824, [(6824, 12, 0.6216)]), (6841, [(6841, 12, 0.3104)]), (6844, [(6844, 24, 2.483)]), (6856, [(6856, -18, 1.395)]), (6881, [(6881, -12, 0.3095)]), (6904, [(6904, 12, 0.6180)]), (6924, [(6924, -18, 1.389)]), (6956, [(6956, 0, 0)]), (6961, [(6961, -6, 0.07693)]), (6969, [(6969, -12, 0.3076)]), (7001, [(7001, 30, 1.918)]), (7004, [(7004, -12, 0.6136)]), (7009, [(7009, 48, 4.907)]), (7016, [(7016, -24, 2.452)]), (7036, [(7036, -12, 0.6122)]), (7041, [(7041, -30, 1.912)]), (7049, [(7049, -12, 0.3058)]), (7064, [(7064, 6, 0.1527)]), (7081, [(7081, -12, 0.3051)]), 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0.5944)]), (7481, [(7481, -18, 0.6679)]), (7484, [(7484, -24, 2.374)]), (7489, [(7489, 0, 0)]), (7496, [(7496, 6, 0.1483)]), (7516, [(7516, 24, 2.369)]), (7521, [(7521, 24, 1.184)]), (7529, [(7529, 6, 0.07398)]), (7544, [(7544, -12, 0.5912)]), (7561, [(7561, -12, 0.2953)]), (7564, [(7564, -24, 2.362)]), (7576, [(7576, 36, 5.310)]), (7601, [(7601, -18, 0.6626)]), (7609, [(7609, -48, 4.709)]), (7624, [(7624, 6, 0.1470)]), (7649, [(7649, 6, 0.07339)]), (7656, [(7656, 0, 0)]), (7676, [(7676, 12, 0.5861)]), (7681, [(7681, 42, 3.589)]), (7689, [(7689, 24, 1.171)]), (7721, [(7721, 12, 0.2922)]), (7724, [(7724, 6, 0.1461)]), (7729, [(7729, -48, 4.673)]), (7736, [(7736, 0, 0)]), (7756, [(7756, 12, 0.5831)]), (7761, [(7761, 12, 0.2914)]), (7769, [(7769, -18, 0.6554)]), (7784, [(7784, 12, 0.5820)]), (7801, [(7801, 12, 0.2907)]), (7804, [(7804, -12, 0.5813)]), (7809, [(7809, 30, 1.816)]), (7816, [(7816, -30, 3.630)]), (7836, [(7836, -12, 0.5801)]), (7841, [(7841, -6, 0.07249)]), (7849, [(7849, 36, 2.608)]), (7864, [(7864, 24, 2.316)]), (7881, [(7881, -12, 0.2892)]), (7896, [(7896, -12, 0.5779)]), (7916, [(7916, 0, 0)]), (7944, [(7944, 18, 1.296)]), (7961, [(7961, -54, 5.827)]), (7964, [(7964, -24, 2.302)]), (7969, [(7969, -24, 1.150)]), (7976, [(7976, 24, 2.300)]), (7996, [(7996, 0, 0)]), (8009, [(8009, 6, 0.07172)]), (8024, [(8024, -12, 0.5733)]), (8041, [(8041, -36, 2.577)]), (8044, [(8044, -6, 0.1431)]), (8049, [(8049, 36, 2.576)]), (8056, [(8056, 12, 0.5721)]), (8076, [(8076, 12, 0.5714)]), (8081, [(8081, 18, 0.6426)]), (8089, [(8089, -18, 0.6423)]), (8104, [(8104, 24, 2.282)]), (8121, [(8121, -6, 0.07123)]), (8124, [(8124, 24, 2.279)]), (8129, [(8129, 12, 0.2848)]), (8156, [(8156, 0, 0)]), (8161, [(8161, -12, 0.2842)]), (8169, [(8169, 12, 0.2841)]), (8184, [(8184, 36, 5.109)]), (8201, [(8201, -24, 1.134)]), (8204, [(8204, 0, 0)]), (8209, [(8209, 6, 0.07085)]), (8216, [(8216, 12, 0.5665)]), (8236, [(8236, 12, 0.5658)]), (8241, [(8241, 42, 3.465)]), (8249, [(8249, -6, 0.07067)]), (8264, [(8264, -6, 0.1412)]), (8284, [(8284, 36, 5.078)]), (8296, [(8296, -36, 5.074)]), (8321, [(8321, 12, 0.2815)]), (8329, [(8329, -6, 0.07033)]), (8344, [(8344, -24, 2.249)]), (8364, [(8364, 6, 0.1404)]), (8369, [(8369, -12, 0.2807)]), (8376, [(8376, -24, 2.244)]), (8396, [(8396, -6, 0.1401)]), (8401, [(8401, 36, 2.521)]), (8409, [(8409, 0, 0)]), (8441, [(8441, -12, 0.2795)]), (8444, [(8444, 24, 2.235)]), (8449, [(8449, -12, 0.2793)]), (8456, [(8456, 12, 0.5584)]), (8476, [(8476, -36, 5.020)]), (8481, [(8481, -12, 0.2788)]), (8489, [(8489, 0, 0)]), (8504, [(8504, 0, 0)]), (8521, [(8521, 54, 5.632)]), (8524, [(8524, 0, 0)]), (8529, [(8529, 6, 0.06950)]), (8536, [(8536, -12, 0.5558)]), (8556, [(8556, 36, 4.996)]), (8561, [(8561, 0, 0)]), (8569, [(8569, -6, 0.06934)]), (8584, [(8584, 0, 0)]), (8601, [(8601, 0, 0)]), (8609, [(8609, -6, 0.06918)]), (8616, [(8616, 12, 0.5532)]), (8636, [(8636, 0, 0)]), (8641, [(8641, 18, 0.6215)]), (8681, [(8681, -30, 1.722)]), (8684, [(8684, -12, 0.5510)]), (8689, [(8689, 60, 6.886)]), (8696, [(8696, -24, 2.203)]), (8716, [(8716, -6, 0.1375)]), (8729, [(8729, -24, 1.099)]), (8744, [(8744, -36, 4.942)]), (8761, [(8761, 18, 0.6172)]), (8764, [(8764, -24, 2.194)]), (8769, [(8769, -24, 1.097)]), (8776, [(8776, 30, 3.426)]), (8796, [(8796, -12, 0.5475)]), (8801, [(8801, 0, 0)]), (8809, [(8809, 24, 1.094)]), (8824, [(8824, -12, 0.5467)]), (8841, [(8841, 24, 1.092)]), (8844, [(8844, 18, 1.229)]), (8849, [(8849, 0, 0)]), (8876, [(8876, 0, 0)]), (8881, [(8881, 6, 0.06811)]), (8889, [(8889, 24, 1.089)]), (8904, [(8904, -12, 0.5442)]), (8921, [(8921, 0, 0)]), (8924, [(8924, 0, 0)]), (8929, [(8929, 30, 1.698)]), (8936, [(8936, 12, 0.5432)]), (8956, [(8956, -36, 4.883)]), (8961, [(8961, 24, 1.085)]), (8969, [(8969, 0, 0)]), (8984, [(8984, -18, 1.219)]), (9001, [(9001, 6, 0.06766)]), (9004, [(9004, -6, 0.1353)]), (9041, [(9041, 30, 1.688)]), (9049, [(9049, -48, 4.319)]), (9064, [(9064, -24, 2.157)]), (9084, [(9084, 0, 0)]), (9089, [(9089, 12, 0.2693)]), (9096, [(9096, -6, 0.1346)]), (9116, [(9116, 24, 2.151)]), (9121, [(9121, 24, 1.075)]), (9129, [(9129, 6, 0.06718)]), (9161, [(9161, -6, 0.06706)]), (9164, [(9164, 12, 0.5364)]), (9169, [(9169, 36, 2.413)]), (9176, [(9176, -12, 0.5361)]), (9201, [(9201, 0, 0)]), (9209, [(9209, -42, 3.277)]), (9224, [(9224, -30, 3.342)]), (9241, [(9241, -18, 0.6009)]), (9244, [(9244, 12, 0.5341)]), (9249, [(9249, -36, 2.403)]), (9256, [(9256, 0, 0)]), (9276, [(9276, -36, 4.798)]), (9281, [(9281, -6, 0.06663)]), (9289, [(9289, 12, 0.2664)]), (9304, [(9304, -6, 0.1331)]), (9321, [(9321, -24, 1.064)]), (9329, [(9329, 0, 0)]), (9336, [(9336, 12, 0.5314)]), (9356, [(9356, 24, 2.124)]), (9361, [(9361, -48, 4.246)]), (9384, [(9384, -12, 0.5301)]), (9401, [(9401, 0, 0)]), (9404, [(9404, 12, 0.5295)]), (9416, [(9416, 30, 3.307)]), (9436, [(9436, -36, 4.758)]), (9449, [(9449, 18, 0.5943)]), (9481, [(9481, -36, 2.373)]), (9484, [(9484, 6, 0.1318)]), (9489, [(9489, -42, 3.229)]), (9496, [(9496, 6, 0.1317)]), (9516, [(9516, -12, 0.5264)]), (9521, [(9521, -18, 0.5920)]), (9529, [(9529, 12, 0.2630)]), (9544, [(9544, 0, 0)]), (9561, [(9561, -36, 2.363)]), (9564, [(9564, 0, 0)]), (9569, [(9569, 12, 0.2625)]), (9596, [(9596, 12, 0.5242)]), (9601, [(9601, -24, 1.048)]), (9609, [(9609, 30, 1.637)]), (9624, [(9624, -6, 0.1309)]), (9641, [(9641, 12, 0.2615)]), (9644, [(9644, -6, 0.1307)]), (9649, [(9649, 6, 0.06534)]), (9656, [(9656, 12, 0.5226)]), (9676, [(9676, 24, 2.088)]), (9681, [(9681, -12, 0.2609)]), (9689, [(9689, -18, 0.5869)]), (9704, [(9704, -12, 0.5213)]), (9721, [(9721, -12, 0.2604)]), (9724, [(9724, -12, 0.5207)]), (9736, [(9736, 18, 1.171)]), (9761, [(9761, 24, 1.040)]), (9769, [(9769, -18, 0.5845)]), (9784, [(9784, 0, 0)]), (9804, [(9804, 36, 4.667)]), (9809, [(9809, 6, 0.06481)]), (9816, [(9816, -18, 1.166)]), (9836, [(9836, -12, 0.5178)]), (9841, [(9841, 24, 1.035)]), (9881, [(9881, 18, 0.5812)]), (9884, [(9884, 24, 2.066)]), (9889, [(9889, 24, 1.033)]), (9896, [(9896, -24, 2.065)]), (9916, [(9916, 12, 0.5157)]), (9921, [(9921, 30, 1.611)]), (9929, [(9929, 30, 1.610)]), (9944, [(9944, 30, 3.218)]), (9961, [(9961, 12, 0.2573)]), (9964, [(9964, -12, 0.5144)]), (9969, [(9969, 6, 0.06429)]), (9976, [(9976, 48, 8.226)])]]