# label = 37.2.a.a
# Base field F = Number Field in a with defining polynomial x - 1
# Quaternion algebra given by i^2 = -2, j^2 = -37
# Order with basis over the integers given by [1, i, 1/2 + 1/2*i + 1/2*j, 1/2 + (-1/4)*i + 1/4*k]

# Nmax = 10000

[(1, [3*i, 1/2 + (-7/6)*i + 1/6*j, 1/2 + 3/4*i + 1/4*k]), (-1, [3*i, 1/2 + (-7/6)*i + 1/6*j, 1/2 + 3/4*i + 1/4*k])]
[((37,), 4 + (-5/4)*i + (-1/2)*j + 7/4*k)]

# map: (1 |-> 1.0) -> -1, Fractional ideal (37) -> 1
[5, -3 + (-3/4)*i + 1/2*j + 1/4*k, [(-3, [(-3, 2, 2.831)]), (-4, [(-4, 2, 2.452)]), (-7, [(-7, -2, 1.853)]), (-11, [(-11, 2, 1.478)]), (-40, [(-40, 4, 3.101)]), (-47, [(-47, -2, 0.7152)]), (-67, [(-67, 12, 21.57)]), (-71, [(-71, 2, 0.5819)]), (-83, [(-83, -2, 0.5382)]), (-84, [(-84, -2, 0.5350)]), (-111, [(-111, 2, 0.9308)]), (-115, [(-115, -12, 16.46)]), (-120, [(-120, -4, 1.790)]), (-123, [(-123, 6, 3.979)]), (-127, [(-127, 2, 0.4351)]), (-132, [(-132, 6, 3.841)]), (-136, [(-136, 8, 6.727)]), (-148, [(-148, -6, 7.255)]), (-151, [(-151, -4, 1.596)]), (-152, [(-152, -4, 1.591)]), (-155, [(-155, 4, 1.575)]), (-159, [(-159, 2, 0.3889)]), (-164, [(-164, -2, 0.3829)]), (-195, [(-195, 4, 1.405)]), (-211, [(-211, 6, 3.038)]), (-212, [(-212, 6, 3.031)]), (-219, [(-219, 2, 0.3313)]), (-223, [(-223, -6, 2.955)]), (-231, [(-231, -2, 0.3226)]), (-232, [(-232, 12, 11.59)]), (-247, [(-247, -8, 4.992)]), (-259, [(-259, -6, 5.484)]), (-260, [(-260, 4, 1.216)]), (-263, [(-263, 2, 0.3024)]), (-271, [(-271, -2, 0.2979)]), (-280, [(-280, -12, 10.55)]), (-287, [(-287, -2, 0.2894)]), (-292, [(-292, 2, 0.2869)]), (-295, [(-295, 8, 4.568)]), (-299, [(-299, -4, 1.134)]), (-303, [(-303, -2, 0.2817)]), (-307, [(-307, 10, 6.996)]), (-308, [(-308, 2, 0.2794)]), (-312, [(-312, -8, 4.442)]), (-323, [(-323, -4, 1.091)]), (-340, [(-340, 8, 4.255)]), (-359, [(-359, -2, 0.2588)]), (-367, [(-367, -4, 1.024)]), (-371, [(-371, -2, 0.2546)]), (-379, [(-379, 14, 12.34)]), (-395, [(-395, 4, 0.9869)]), (-403, [(-403, -12, 8.793)]), (-404, [(-404, -2, 0.2440)]), (-407, [(-407, 2, 0.4861)]), (-408, [(-408, 8, 3.884)]), (-411, [(-411, -4, 0.9675)]), (-419, [(-419, 6, 2.156)]), (-435, [(-435, 4, 0.9404)]), (-440, [(-440, -4, 0.9350)]), (-443, [(-443, -2, 0.2330)]), (-447, [(-447, 2, 0.2319)]), (-451, [(-451, -10, 5.772)]), (-455, [(-455, 4, 0.9195)]), (-456, [(-456, -4, 0.9185)]), (-471, [(-471, 2, 0.2259)]), (-472, [(-472, -4, 0.9028)]), (-488, [(-488, -4, 0.8879)]), (-491, [(-491, -4, 0.8851)]), (-511, [(-511, 6, 1.952)]), (-515, [(-515, 8, 3.457)]), (-519, [(-519, -2, 0.2152)]), (-527, [(-527, -4, 0.8544)]), (-543, [(-543, -2, 0.2104)]), (-555, [(-555, 8, 6.660)]), (-559, [(-559, 8, 3.318)]), (-564, [(-564, 6, 1.858)]), (-571, [(-571, -6, 1.847)]), (-580, [(-580, 4, 0.8144)]), (-583, [(-583, 2, 0.2031)]), (-591, [(-591, -2, 0.2017)]), (-595, [(-595, -8, 3.216)]), (-596, [(-596, -2, 0.2009)]), (-599, [(-599, 2, 0.2003)]), (-619, [(-619, 10, 4.927)]), (-628, [(-628, -14, 9.588)]), (-632, [(-632, 8, 3.121)]), (-655, [(-655, 4, 0.7664)]), (-659, [(-659, -2, 0.1910)]), (-663, [(-663, 4, 0.7617)]), (-667, [(-667, 20, 18.99)]), (-687, [(-687, -6, 1.684)]), (-691, [(-691, 20, 18.65)]), (-692, [(-692, -2, 0.1864)]), (-696, [(-696, 4, 0.7435)]), (-703, [(-703, 4, 1.479)]), (-707, [(-707, 10, 4.610)]), (-712, [(-712, 12, 6.616)]), (-715, [(-715, -12, 6.602)]), (-719, [(-719, -2, 0.1829)]), (-724, [(-724, 10, 4.556)]), (-731, [(-731, -4, 0.7254)]), (-739, [(-739, -10, 4.509)]), (-743, [(-743, -2, 0.1799)]), (-751, [(-751, -6, 1.610)]), (-776, [(-776, 4, 0.7041)]), (-787, [(-787, 10, 4.370)]), (-788, [(-788, -6, 1.572)]), (-803, [(-803, -6, 1.557)]), (-807, [(-807, -8, 2.762)]), (-811, [(-811, -14, 8.437)]), (-815, [(-815, -4, 0.6870)]), (-823, [(-823, -8, 2.735)]), (-835, [(-835, -12, 6.109)]), (-840, [(-840, 4, 0.6767)]), (-851, [(-851, 4, 1.345)]), (-852, [(-852, 2, 0.1680)]), (-863, [(-863, 4, 0.6677)]), (-872, [(-872, 4, 0.6642)]), (-884, [(-884, -4, 0.6597)]), (-887, [(-887, 2, 0.1646)]), (-895, [(-895, -12, 5.901)]), (-899, [(-899, 4, 0.6542)]), (-904, [(-904, -4, 0.6523)]), (-915, [(-915, -4, 0.6484)]), (-916, [(-916, -10, 4.050)]), (-932, [(-932, -4, 0.6425)]), (-951, [(-951, 4, 0.6360)]), (-952, [(-952, -8, 2.543)]), (-955, [(-955, -16, 10.15)]), (-983, [(-983, -2, 0.1564)]), (-987, [(-987, 10, 3.902)]), (-996, [(-996, -2, 0.1554)]), (-1003, [(-1003, 8, 2.477)]), (-1011, [(-1011, 10, 3.855)]), (-1015, [(-1015, 4, 0.6156)]), (-1027, [(-1027, -20, 15.30)]), (-1032, [(-1032, -8, 2.442)]), (-1039, [(-1039, 6, 1.369)]), (-1043, [(-1043, 10, 3.796)]), (-1047, [(-1047, 4, 0.6062)]), (-1048, [(-1048, 16, 9.694)]), (-1063, [(-1063, 6, 1.354)]), (-1064, [(-1064, 4, 0.6013)]), (-1076, [(-1076, 4, 0.5979)]), (-1099, [(-1099, -6, 1.331)]), (-1103, [(-1103, -4, 0.5906)]), (-1111, [(-1111, 6, 1.324)]), (-1119, [(-1119, 2, 0.1466)]), (-1131, [(-1131, -8, 2.333)]), (-1135, [(-1135, 8, 2.329)]), (-1144, [(-1144, -8, 2.320)]), (-1147, [(-1147, -16, 18.53)]), (-1151, [(-1151, 2, 0.1445)]), (-1159, [(-1159, -8, 2.305)]), (-1163, [(-1163, 4, 0.5751)]), (-1172, [(-1172, -4, 0.5729)]), (-1187, [(-1187, -10, 3.558)]), (-1191, [(-1191, 6, 1.279)]), (-1195, [(-1195, -8, 2.270)]), (-1211, [(-1211, -10, 3.523)]), (-1220, [(-1220, 4, 0.5615)]), (-1231, [(-1231, -2, 0.1398)]), (-1247, [(-1247, 4, 0.5554)]), (-1255, [(-1255, 4, 0.5536)]), (-1259, [(-1259, -4, 0.5528)]), (-1267, [(-1267, -14, 6.750)]), (-1279, [(-1279, 4, 0.5484)]), (-1283, [(-1283, 4, 0.5476)]), (-1288, [(-1288, -8, 2.186)]), (-1291, [(-1291, 18, 11.05)]), (-1299, [(-1299, 6, 1.224)]), (-1304, [(-1304, 4, 0.5432)]), (-1307, [(-1307, 4, 0.5425)]), (-1311, [(-1311, -4, 0.5417)]), (-1316, [(-1316, 2, 0.1352)]), (-1320, [(-1320, -4, 0.5398)]), (-1335, [(-1335, -4, 0.5368)]), (-1336, [(-1336, 4, 0.5366)]), (-1339, [(-1339, 12, 4.824)]), (-1348, [(-1348, 6, 1.202)]), (-1379, [(-1379, 2, 0.1320)]), (-1380, [(-1380, -12, 4.752)]), (-1396, [(-1396, -12, 4.725)]), (-1399, [(-1399, -6, 1.180)]), (-1403, [(-1403, 4, 0.5236)]), (-1407, [(-1407, -4, 0.5229)]), (-1416, [(-1416, -4, 0.5212)]), (-1427, [(-1427, -10, 3.245)]), (-1432, [(-1432, -4, 0.5183)]), (-1439, [(-1439, 2, 0.1293)]), (-1447, [(-1447, -2, 0.1289)]), (-1455, [(-1455, -4, 0.5142)]), (-1459, [(-1459, 14, 6.290)]), (-1464, [(-1464, 12, 4.614)]), (-1471, [(-1471, 2, 0.1278)]), (-1480, [(-1480, -4, 1.020)]), (-1483, [(-1483, 18, 10.31)]), (-1487, [(-1487, 2, 0.1272)]), (-1491, [(-1491, -6, 1.143)]), (-1492, [(-1492, -6, 1.143)]), (-1507, [(-1507, 24, 18.19)]), (-1508, [(-1508, -8, 2.020)]), (-1524, [(-1524, -6, 1.130)]), (-1527, [(-1527, 6, 1.129)]), (-1528, [(-1528, 20, 12.54)]), (-1543, [(-1543, -14, 6.117)]), (-1544, [(-1544, 4, 0.4992)]), (-1547, [(-1547, -4, 0.4987)]), (-1551, [(-1551, -2, 0.1245)]), (-1555, [(-1555, 32, 31.83)]), (-1563, [(-1563, -2, 0.1240)]), (-1579, [(-1579, -18, 9.995)]), (-1588, [(-1588, 26, 20.80)]), (-1592, [(-1592, 4, 0.4916)]), (-1595, [(-1595, -4, 0.4911)]), (-1603, [(-1603, -10, 3.062)]), (-1619, [(-1619, 6, 1.097)]), (-1624, [(-1624, -4, 0.4867)]), (-1627, [(-1627, -16, 7.780)]), (-1631, [(-1631, -4, 0.4857)]), (-1635, [(-1635, 4, 0.4851)]), (-1639, [(-1639, -2, 0.1211)]), (-1640, [(-1640, -12, 4.359)]), (-1655, [(-1655, -4, 0.4821)]), (-1668, [(-1668, 4, 0.4802)]), (-1672, [(-1672, -4, 0.4797)]), (-1691, [(-1691, -4, 0.4770)]), (-1695, [(-1695, 8, 1.906)]), (-1699, [(-1699, -2, 0.1190)]), (-1711, [(-1711, -4, 0.4742)]), (-1723, [(-1723, 10, 2.953)]), (-1727, [(-1727, 2, 0.1180)]), (-1732, [(-1732, 6, 1.060)]), (-1735, [(-1735, -4, 0.4709)]), (-1736, [(-1736, -8, 1.883)]), (-1739, [(-1739, 2, 0.2352)]), (-1743, [(-1743, 6, 1.057)]), (-1748, [(-1748, 4, 0.4691)]), (-1779, [(-1779, -6, 1.046)]), (-1780, [(-1780, -4, 0.4649)]), (-1787, [(-1787, 12, 4.176)]), (-1803, [(-1803, -16, 7.391)]), (-1816, [(-1816, 8, 1.841)]), (-1823, [(-1823, 2, 0.1148)]), (-1839, [(-1839, -6, 1.029)]), (-1843, [(-1843, 20, 11.42)]), (-1847, [(-1847, 4, 0.4564)]), (-1851, [(-1851, -18, 9.232)]), (-1860, [(-1860, 12, 4.093)]), (-1871, [(-1871, -2, 0.1134)]), (-1876, [(-1876, 8, 1.811)]), (-1880, [(-1880, 4, 0.4524)]), (-1883, [(-1883, 8, 1.808)]), (-1887, [(-1887, 4, 0.9030)]), (-1891, [(-1891, 8, 1.804)]), (-1896, [(-1896, 8, 1.802)]), (-1903, [(-1903, -6, 1.012)]), (-1912, [(-1912, -20, 11.21)]), (-1915, [(-1915, 20, 11.21)]), (-1923, [(-1923, 6, 1.006)]), (-1924, [(-1924, 8, 3.577)]), (-1927, [(-1927, 2, 0.1117)]), (-1928, [(-1928, 4, 0.4467)]), (-1931, [(-1931, -6, 1.004)]), (-1940, [(-1940, 4, 0.4453)]), (-1951, [(-1951, -6, 0.9991)]), (-1987, [(-1987, 22, 13.31)]), (-1988, [(-1988, 2, 0.1100)]), (-1991, [(-1991, 2, 0.1099)]), (-1995, [(-1995, 24, 15.81)]), (-1999, [(-1999, 2, 0.1097)]), (-2008, [(-2008, -12, 3.939)]), (-2019, [(-2019, 6, 0.9821)]), (-2024, [(-2024, 8, 1.744)]), (-2031, [(-2031, -2, 0.1088)]), (-2035, [(-2035, -16, 13.91)]), (-2036, [(-2036, -2, 0.1087)]), (-2039, [(-2039, 2, 0.1086)]), (-2047, [(-2047, 8, 1.734)]), (-2056, [(-2056, -4, 0.4326)]), (-2063, [(-2063, 2, 0.1080)]), (-2068, [(-2068, 2, 0.1078)]), (-2071, [(-2071, 8, 1.724)]), (-2072, [(-2072, -8, 3.447)]), (-2083, [(-2083, 10, 2.686)]), (-2084, [(-2084, -6, 0.9667)]), (-2099, [(-2099, -2, 0.1070)]), (-2119, [(-2119, 4, 0.4261)]), (-2120, [(-2120, -4, 0.4260)]), (-2135, [(-2135, -4, 0.4245)]), (-2136, [(-2136, -4, 0.4244)]), (-2139, [(-2139, -4, 0.4241)]), (-2143, [(-2143, -16, 6.779)]), (-2147, [(-2147, -12, 3.810)]), (-2155, [(-2155, -4, 0.4225)]), (-2167, [(-2167, 10, 2.633)]), (-2171, [(-2171, 4, 0.4209)]), (-2179, [(-2179, -32, 26.89)]), (-2180, [(-2180, 4, 0.4201)]), (-2184, [(-2184, -8, 1.679)]), (-2195, [(-2195, 8, 1.675)]), (-2199, [(-2199, 2, 0.1046)]), (-2211, [(-2211, -4, 0.4171)]), (-2227, [(-2227, -44, 50.29)]), (-2247, [(-2247, -4, 0.4138)]), (-2248, [(-2248, 24, 14.89)]), (-2264, [(-2264, 4, 0.4122)]), (-2267, [(-2267, 4, 0.4119)]), (-2283, [(-2283, 2, 0.1026)]), (-2319, [(-2319, 10, 2.546)]), (-2324, [(-2324, 6, 0.9154)]), (-2328, [(-2328, -12, 3.659)]), (-2335, [(-2335, -16, 6.494)]), (-2343, [(-2343, 2, 0.1013)]), (-2347, [(-2347, -14, 4.960)]), (-2356, [(-2356, 16, 6.465)]), (-2359, [(-2359, -2, 0.1010)]), (-2371, [(-2371, 12, 3.625)]), (-2372, [(-2372, -6, 0.9061)]), (-2379, [(-2379, 12, 3.619)]), (-2395, [(-2395, 4, 0.4008)]), (-2408, [(-2408, -8, 1.599)]), (-2415, [(-2415, -4, 0.3991)]), (-2431, [(-2431, 12, 3.580)]), (-2435, [(-2435, -8, 1.590)]), (-2443, [(-2443, -40, 39.68)]), (-2451, [(-2451, -4, 0.3962)]), (-2452, [(-2452, -6, 0.8912)]), (-2463, [(-2463, 2, 0.09880)]), (-2467, [(-2467, 6, 0.8885)]), (-2468, [(-2468, 6, 0.8883)]), (-2472, [(-2472, -8, 1.578)]), (-2479, [(-2479, -4, 0.7879)]), (-2488, [(-2488, -4, 0.3932)]), (-2491, [(-2491, 2, 0.09825)]), (-2495, [(-2495, 4, 0.3927)]), (-2507, [(-2507, 8, 1.567)]), (-2515, [(-2515, 8, 1.564)]), (-2516, [(-2516, -4, 0.7821)]), (-2519, [(-2519, -2, 0.09770)]), (-2532, [(-2532, 6, 0.8770)]), (-2543, [(-2543, -4, 0.3889)]), (-2552, [(-2552, -4, 0.3883)]), (-2563, [(-2563, 16, 6.199)]), (-2564, [(-2564, -6, 0.8715)]), (-2579, [(-2579, 8, 1.545)]), (-2580, [(-2580, 16, 6.178)]), (-2587, [(-2587, 28, 18.90)]), (-2591, [(-2591, -2, 0.09633)]), (-2599, [(-2599, -8, 1.539)]), (-2611, [(-2611, 14, 4.702)]), (-2616, [(-2616, -4, 0.3835)]), (-2623, [(-2623, -8, 1.532)]), (-2627, [(-2627, 6, 1.722)]), (-2643, [(-2643, -12, 3.434)]), (-2660, [(-2660, 8, 1.521)]), (-2663, [(-2663, -6, 0.8552)]), (-2667, [(-2667, -18, 7.691)]), (-2671, [(-2671, 2, 0.09488)]), (-2676, [(-2676, -2, 0.09479)]), (-2680, [(-2680, 16, 6.062)]), (-2692, [(-2692, -14, 4.631)]), (-2708, [(-2708, -2, 0.09423)]), (-2711, [(-2711, 2, 0.09417)]), (-2712, [(-2712, 4, 0.3766)]), (-2728, [(-2728, 16, 6.008)]), (-2731, [(-2731, 22, 11.35)]), (-2739, [(-2739, 2, 0.09369)]), (-2759, [(-2759, -4, 0.3734)]), (-2771, [(-2771, 4, 0.3726)]), (-2776, [(-2776, -12, 3.350)]), (-2779, [(-2779, -22, 11.25)]), (-2787, [(-2787, -20, 9.288)]), (-2791, [(-2791, -10, 2.320)]), (-2803, [(-2803, -20, 9.262)]), (-2811, [(-2811, -2, 0.09248)]), (-2815, [(-2815, -12, 3.327)]), (-2819, [(-2819, 6, 0.8312)]), (-2823, [(-2823, -8, 1.477)]), (-2824, [(-2824, 8, 1.476)]), (-2839, [(-2839, -4, 0.3681)]), (-2840, [(-2840, 4, 0.3680)]), (-2852, [(-2852, 4, 0.3673)]), (-2856, [(-2856, -8, 1.468)]), (-2859, [(-2859, 2, 0.09171)]), (-2887, [(-2887, 18, 7.392)]), (-2895, [(-2895, 4, 0.3645)]), (-2911, [(-2911, -2, 0.09088)]), (-2919, [(-2919, 4, 0.3630)]), (-2920, [(-2920, 12, 3.267)]), (-2923, [(-2923, 20, 18.14)]), (-2927, [(-2927, -4, 0.3625)]), (-2932, [(-2932, -22, 10.96)]), (-2935, [(-2935, 20, 9.051)]), (-2939, [(-2939, 2, 0.09045)]), (-2951, [(-2951, 4, 0.3611)]), (-2959, [(-2959, -4, 0.3606)]), (-2963, [(-2963, -12, 3.243)]), (-2964, [(-2964, -8, 1.441)]), (-2971, [(-2971, -16, 5.757)]), (-2996, [(-2996, 4, 0.3583)]), (-3007, [(-3007, -4, 0.3577)]), (-3023, [(-3023, -2, 0.08918)]), (-3027, [(-3027, 10, 2.228)]), (-3031, [(-3031, -2, 0.08907)]), (-3035, [(-3035, -8, 1.424)]), (-3043, [(-3043, -4, 0.3556)]), (-3044, [(-3044, 2, 0.08887)]), (-3055, [(-3055, 4, 0.3549)]), (-3059, [(-3059, -4, 0.3546)]), (-3064, [(-3064, -8, 1.417)]), (-3067, [(-3067, -26, 14.96)]), (-3071, [(-3071, 2, 0.1770)]), (-3080, [(-3080, -4, 0.3534)]), (-3083, [(-3083, 2, 0.08831)]), (-3092, [(-3092, 10, 2.205)]), (-3099, [(-3099, 2, 0.08808)]), (-3107, [(-3107, -12, 3.167)]), (-3108, [(-3108, 2, 0.1759)]), (-3111, [(-3111, -4, 0.3517)]), (-3112, [(-3112, 16, 5.625)]), (-3115, [(-3115, 4, 0.3514)]), (-3124, [(-3124, 6, 0.7896)]), (-3135, [(-3135, -8, 1.401)]), (-3144, [(-3144, 8, 1.399)]), (-3155, [(-3155, 12, 3.143)]), (-3156, [(-3156, -6, 0.7856)]), (-3171, [(-3171, 12, 3.135)]), (-3172, [(-3172, 4, 0.3483)]), (-3183, [(-3183, 4, 0.3476)]), (-3191, [(-3191, 6, 0.7812)]), (-3192, [(-3192, -4, 0.3472)]), (-3203, [(-3203, -10, 2.166)]), (-3215, [(-3215, 4, 0.3459)]), (-3219, [(-3219, 4, 0.6914)]), (-3220, [(-3220, -4, 0.3456)]), (-3223, [(-3223, -16, 5.528)]), (-3235, [(-3235, 28, 16.90)]), (-3247, [(-3247, 12, 3.098)]), (-3252, [(-3252, 10, 2.150)]), (-3255, [(-3255, -4, 0.3438)]), (-3256, [(-3256, -8, 2.750)]), (-3259, [(-3259, 4, 0.3436)]), (-3268, [(-3268, -28, 16.81)]), (-3272, [(-3272, 4, 0.3429)]), (-3284, [(-3284, -2, 0.08557)]), (-3304, [(-3304, 4, 0.3412)]), (-3319, [(-3319, -6, 0.7660)]), (-3320, [(-3320, -4, 0.3404)]), (-3323, [(-3323, -2, 0.08506)]), (-3327, [(-3327, 14, 4.166)]), (-3331, [(-3331, -18, 6.882)]), (-3351, [(-3351, 2, 0.08471)]), (-3355, [(-3355, -36, 27.43)]), (-3363, 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[(-8852, 8, 0.8339)]), (-8855, [(-8855, 4, 0.2084)]), (-8859, [(-8859, 12, 1.875)]), (-8868, [(-8868, 18, 4.218)]), (-8871, [(-8871, -6, 0.4686)]), (-8884, [(-8884, -6, 0.4682)]), (-8887, [(-8887, -6, 0.4681)]), (-8891, [(-8891, -12, 1.872)]), (-8907, [(-8907, -14, 2.546)]), (-8916, [(-8916, -10, 1.298)]), (-8920, [(-8920, 20, 5.192)]), (-8943, [(-8943, 6, 0.4667)]), (-8947, [(-8947, 4, 0.2074)]), (-8951, [(-8951, -2, 0.05183)]), (-8963, [(-8963, 12, 1.865)]), (-8979, [(-8979, 2, 0.05175)]), (-8980, [(-8980, -20, 5.174)]), (-8984, [(-8984, -4, 0.2069)]), (-8987, [(-8987, 4, 0.2069)]), (-8995, [(-8995, -12, 1.861)]), (-9003, [(-9003, 10, 1.292)]), (-9007, [(-9007, 18, 4.185)]), (-9012, [(-9012, -14, 2.531)]), (-9019, [(-9019, -8, 0.8261)]), (-9028, [(-9028, -16, 6.606)]), (-9031, [(-9031, 6, 0.4644)]), (-9032, [(-9032, -8, 0.8255)]), (-9035, [(-9035, -8, 0.8254)]), (-9039, [(-9039, -8, 0.8252)]), (-9044, [(-9044, 4, 0.2062)]), (-9055, [(-9055, -8, 0.8245)]), (-9064, [(-9064, -16, 3.296)]), (-9076, [(-9076, -26, 8.698)]), (-9091, [(-9091, 6, 0.4628)]), (-9092, [(-9092, -6, 0.4628)]), (-9095, [(-9095, 8, 0.8227)]), (-9103, [(-9103, -4, 0.2056)]), (-9111, [(-9111, 6, 0.4623)]), (-9112, [(-9112, -24, 7.397)]), (-9123, [(-9123, -10, 1.283)]), (-9128, [(-9128, -12, 1.848)]), (-9139, [(-9139, 32, 26.26)]), (-9143, [(-9143, 2, 0.05128)]), (-9151, [(-9151, 10, 1.281)]), (-9155, [(-9155, -20, 5.125)]), (-9160, [(-9160, 12, 1.844)]), (-9167, [(-9167, 8, 0.8194)]), (-9172, [(-9172, -10, 1.280)]), (-9179, [(-9179, 8, 0.8189)]), (-9183, [(-9183, 2, 0.05117)]), (-9187, [(-9187, -34, 14.78)]), (-9188, [(-9188, 10, 1.279)]), (-9192, [(-9192, -16, 3.273)]), (-9203, [(-9203, 2, 0.05111)]), (-9220, [(-9220, -16, 3.268)]), (-9223, [(-9223, -16, 3.268)]), (-9224, [(-9224, 8, 0.8169)]), (-9239, [(-9239, 2, 0.05101)]), (-9240, [(-9240, 4, 0.2040)]), (-9247, [(-9247, 18, 4.130)]), (-9259, [(-9259, 6, 0.4586)]), (-9271, [(-9271, 10, 1.273)]), (-9283, [(-9283, -32, 13.03)]), (-9284, [(-9284, 6, 0.4580)]), (-9291, [(-9291, -8, 0.8139)]), (-9303, [(-9303, 2, 0.05084)]), (-9320, [(-9320, -8, 0.8127)]), (-9323, [(-9323, 6, 0.4571)]), (-9327, [(-9327, -2, 0.05077)]), (-9331, [(-9331, 36, 16.45)]), (-9335, [(-9335, -4, 0.2030)]), (-9336, [(-9336, -8, 0.8120)]), (-9352, [(-9352, 12, 1.825)]), (-9364, [(-9364, 14, 2.483)]), (-9368, [(-9368, 4, 0.2026)]), (-9371, [(-9371, -6, 0.4559)]), (-9391, [(-9391, -4, 0.2024)]), (-9395, [(-9395, -12, 1.821)]), (-9399, [(-9399, 4, 0.2023)]), (-9407, [(-9407, -4, 0.2022)]), (-9419, [(-9419, 18, 4.092)]), (-9428, [(-9428, -2, 0.05050)]), (-9435, [(-9435, -8, 1.615)]), (-9439, [(-9439, 10, 1.262)]), (-9444, [(-9444, 2, 0.05046)]), (-9447, [(-9447, -16, 3.229)]), (-9451, [(-9451, -16, 3.228)]), (-9460, [(-9460, 24, 7.260)]), (-9463, [(-9463, 8, 0.8065)]), (-9471, [(-9471, -2, 0.05038)]), (-9476, [(-9476, 4, 0.2015)]), (-9483, [(-9483, -8, 0.8056)]), (-9499, [(-9499, -12, 1.811)]), (-9508, [(-9508, -14, 2.464)]), (-9512, [(-9512, -4, 0.2011)]), (-9519, [(-9519, 4, 0.2010)]), (-9535, [(-9535, 16, 3.214)]), (-9539, [(-9539, 10, 1.255)]), (-9543, [(-9543, -4, 0.2008)]), (-9547, [(-9547, 36, 16.26)]), (-9556, [(-9556, 8, 0.8026)]), (-9571, [(-9571, 8, 0.8019)]), (-9572, [(-9572, -4, 0.2005)]), (-9579, [(-9579, -8, 0.8016)]), (-9587, [(-9587, 4, 0.2003)]), (-9592, [(-9592, 12, 1.802)]), (-9595, [(-9595, -8, 0.8009)]), (-9599, [(-9599, 4, 0.2002)]), (-9608, [(-9608, 8, 0.8004)]), (-9611, [(-9611, 4, 0.2001)]), (-9619, [(-9619, 22, 6.049)]), (-9620, [(-9620, 4, 0.3999)]), (-9623, [(-9623, -4, 0.1999)]), (-9624, [(-9624, -8, 0.7997)]), (-9627, [(-9627, -10, 1.249)]), (-9631, [(-9631, 12, 1.799)]), (-9636, [(-9636, -2, 0.04995)]), (-9647, [(-9647, 4, 0.1997)]), (-9656, [(-9656, -8, 0.7984)]), (-9667, [(-9667, -38, 18.00)]), (-9668, [(-9668, -2, 0.04987)]), (-9683, [(-9683, 8, 0.7973)]), (-9687, [(-9687, 10, 1.246)]), (-9691, [(-9691, 32, 12.75)]), (-9695, [(-9695, 4, 0.1992)]), (-9703, [(-9703, -24, 7.168)]), (-9704, [(-9704, -4, 0.1991)]), (-9715, [(-9715, -24, 7.164)]), (-9719, [(-9719, 2, 0.04974)]), (-9727, [(-9727, -12, 1.790)]), (-9731, [(-9731, 2, 0.09941)]), (-9732, [(-9732, 14, 2.436)]), (-9735, [(-9735, -8, 0.7952)]), (-9743, [(-9743, -6, 0.4471)]), (-9759, [(-9759, 2, 0.04964)]), (-9764, [(-9764, -2, 0.04962)]), (-9767, [(-9767, 2, 0.04962)]), (-9768, [(-9768, 8, 1.588)]), (-9771, [(-9771, 12, 1.786)]), (-9779, [(-9779, -6, 0.4463)]), (-9780, [(-9780, 4, 0.1983)]), (-9784, [(-9784, 24, 7.138)]), (-9795, [(-9795, 4, 0.1982)]), (-9796, [(-9796, 16, 3.171)]), (-9812, [(-9812, -2, 0.04950)]), (-9816, [(-9816, 12, 1.782)]), (-9831, [(-9831, 4, 0.1978)]), (-9832, [(-9832, 40, 19.78)]), (-9835, [(-9835, 4, 0.1978)]), (-9839, [(-9839, -2, 0.04943)]), (-9843, [(-9843, 36, 16.01)]), (-9851, [(-9851, 8, 0.7905)]), (-9863, [(-9863, 6, 0.4444)]), (-9867, [(-9867, -12, 1.777)]), (-9876, [(-9876, 12, 1.776)]), (-9879, [(-9879, 4, 0.3947)]), (-9880, [(-9880, 24, 7.104)]), (-9883, [(-9883, 4, 0.1973)]), (-9895, [(-9895, 12, 1.775)]), (-9907, [(-9907, 34, 14.24)]), (-9912, [(-9912, -4, 0.1970)]), (-9915, [(-9915, 4, 0.1970)]), (-9919, [(-9919, -8, 0.7877)]), (-9928, [(-9928, -8, 0.7874)]), (-9943, [(-9943, 4, 0.1967)]), (-9944, [(-9944, 4, 0.1967)]), (-9956, [(-9956, -8, 0.7863)]), (-9960, [(-9960, 4, 0.1965)]), (-9979, [(-9979, 24, 7.068)]), (-9983, [(-9983, -4, 0.1963)]), (-9987, [(-9987, -2, 0.04907)]), (-9991, [(-9991, -20, 4.906)])]]

# map: (1 |-> 1.0) -> 1, Fractional ideal (37) -> -1
[-7, 2 + 1/4*i + 1/2*j + 1/4*k, [(5, [(5, -2, 5.355)]), (8, [(8, -2, 4.234)]), (13, [(13, -2, 3.321)]), (17, [(17, 2, 2.904)]), (24, [(24, -2, 2.444)]), (29, [(29, 4, 8.894)]), (56, [(56, -2, 1.600)]), (57, [(57, -2, 1.586)]), (60, [(60, -2, 1.546)]), (76, [(76, 2, 1.374)]), (88, [(88, -2, 1.276)]), (89, [(89, -2, 1.269)]), (92, [(92, -4, 4.994)]), (93, [(93, 4, 4.967)]), (105, [(105, 2, 1.169)]), (109, [(109, 2, 1.147)]), (129, [(129, -2, 1.054)]), (133, [(133, -2, 1.038)]), (140, [(140, -6, 9.108)]), (156, [(156, 2, 0.9587)]), (161, [(161, -4, 3.775)]), (165, [(165, 2, 0.9322)]), (168, [(168, 2, 0.9238)]), (172, [(172, 2, 0.9130)]), (193, [(193, 2, 0.8619)]), (204, [(204, -2, 0.8384)]), (205, [(205, 2, 0.8363)]), (209, [(209, -2, 0.8283)]), (220, [(220, -2, 0.8073)]), (236, [(236, -4, 3.118)]), (237, [(237, 6, 7.000)]), (257, [(257, -4, 2.988)]), (264, [(264, 2, 0.7370)]), (265, [(265, 2, 0.7356)]), (273, [(273, -2, 0.7247)]), (277, [(277, 4, 2.878)]), (281, [(281, 4, 2.857)]), (301, [(301, 2, 0.6902)]), (309, [(309, 2, 0.6812)]), (313, [(313, 2, 0.6768)]), (316, [(316, -2, 0.6736)]), (328, [(328, 2, 0.6612)]), (341, [(341, -8, 10.38)]), (348, [(348, -4, 2.568)]), (353, [(353, -2, 0.6373)]), (357, [(357, 6, 5.704)]), (364, [(364, 2, 0.6276)]), (365, [(365, -6, 5.641)]), (376, [(376, -2, 0.6175)]), (385, [(385, -2, 0.6103)]), (389, [(389, -4, 2.428)]), (393, [(393, 2, 0.6040)]), (401, [(401, -2, 0.5980)]), (412, [(412, -2, 0.5899)]), (413, [(413, 12, 21.21)]), (421, [(421, 2, 0.5836)]), (424, [(424, 2, 0.5815)]), (429, [(429, 6, 5.203)]), (449, [(449, -2, 0.5651)]), (457, [(457, 2, 0.5601)]), (461, [(461, -10, 13.94)]), (473, [(473, -6, 4.955)]), (476, [(476, -2, 0.5488)]), (489, [(489, -2, 0.5415)]), (501, [(501, -2, 0.5350)]), (505, [(505, -2, 0.5328)]), (524, [(524, -2, 0.5231)]), (533, [(533, -6, 4.668)]), (541, [(541, -4, 2.059)]), (553, [(553, 2, 0.5092)]), (557, [(557, 16, 32.47)]), (561, [(561, -2, 0.5055)]), (568, [(568, 2, 0.5024)]), (569, [(569, -4, 2.008)]), (572, [(572, 6, 4.506)]), (577, [(577, -2, 0.4985)]), (584, [(584, -6, 4.459)]), (616, [(616, 2, 0.4824)]), (652, [(652, 2, 0.4689)]), (661, [(661, 2, 0.4657)]), (664, [(664, 2, 0.4647)]), (668, [(668, -14, 22.70)]), (680, [(680, 4, 1.837)]), (685, [(685, -4, 1.830)]), (689, [(689, -2, 0.4562)]), (697, [(697, 2, 0.4535)]), (701, [(701, -8, 7.236)]), (705, [(705, 2, 0.4510)]), (709, [(709, 2, 0.4497)]), (716, [(716, -4, 1.790)]), (717, [(717, -4, 1.789)]), (721, [(721, -2, 0.4459)]), (732, [(732, 4, 1.770)]), (745, [(745, -2, 0.4387)]), (748, [(748, 2, 0.4378)]), (753, [(753, 2, 0.4364)]), (757, [(757, -4, 1.741)]), (785, [(785, 2, 0.4274)]), (797, [(797, 8, 6.786)]), (808, [(808, 2, 0.4212)]), (809, [(809, -4, 1.684)]), (812, [(812, -8, 6.723)]), (853, [(853, -4, 1.640)]), (857, [(857, 6, 3.681)]), (865, [(865, -2, 0.4071)]), (869, [(869, -6, 3.656)]), (893, [(893, -6, 3.606)]), (901, [(901, -2, 0.3989)]), (905, [(905, -6, 3.582)]), (908, [(908, 12, 14.31)]), (917, [(917, -6, 3.559)]), (920, [(920, 4, 1.579)]), (933, [(933, -6, 3.528)]), (940, [(940, 2, 0.3906)]), (949, [(949, -2, 0.3887)]), (956, [(956, 8, 6.196)]), (977, [(977, 4, 1.532)]), (984, [(984, -2, 0.3817)]), (985, [(985, 2, 0.3815)]), (997, [(997, -4, 1.517)]), (1001, [(1001, -2, 0.3785)]), (1004, [(1004, -2, 0.3779)]), (1005, [(1005, -4, 1.511)]), (1013, [(1013, -10, 9.405)]), (1016, [(1016, 2, 0.3757)]), (1021, [(1021, 2, 0.3747)]), (1065, [(1065, 2, 0.3669)]), (1068, [(1068, 2, 0.3664)]), (1096, [(1096, -4, 1.447)]), (1097, [(1097, 8, 5.784)]), (1128, [(1128, -2, 0.3565)]), (1129, [(1129, -2, 0.3564)]), (1133, [(1133, -18, 28.81)]), (1141, [(1141, -6, 3.190)]), (1145, [(1145, -2, 0.3539)]), (1149, [(1149, -4, 1.413)]), (1153, [(1153, -2, 0.3526)]), (1165, [(1165, -4, 1.403)]), (1169, [(1169, -2, 0.3502)]), (1192, [(1192, 2, 0.3468)]), (1201, [(1201, -2, 0.3455)]), (1208, [(1208, 8, 5.512)]), (1213, [(1213, 2, 0.3438)]), (1229, [(1229, 10, 8.539)]), (1240, [(1240, -4, 1.360)]), (1241, [(1241, -2, 0.3399)]), (1244, [(1244, -6, 3.055)]), (1245, [(1245, -10, 8.484)]), (1253, [(1253, 20, 33.83)]), (1256, [(1256, 6, 3.041)]), (1272, [(1272, 6, 3.022)]), (1277, [(1277, 12, 12.06)]), (1289, [(1289, -6, 3.002)]), (1293, [(1293, 2, 0.3330)]), (1297, [(1297, 2, 0.3325)]), (1301, [(1301, -6, 2.988)]), (1308, [(1308, 6, 2.980)]), (1309, [(1309, 2, 0.3310)]), (1313, [(1313, 2, 0.3305)]), (1317, [(1317, -4, 1.320)]), (1349, [(1349, -10, 8.150)]), (1356, [(1356, 4, 1.301)]), (1361, [(1361, 6, 2.921)]), (1384, [(1384, -2, 0.3219)]), (1388, [(1388, -12, 11.57)]), (1393, [(1393, 4, 1.283)]), (1420, [(1420, -2, 0.3178)]), (1429, [(1429, 6, 2.851)]), (1437, [(1437, -4, 1.264)]), (1441, [(1441, 2, 0.3154)]), (1448, [(1448, -10, 7.867)]), (1457, [(1457, 8, 5.019)]), (1461, [(1461, -6, 2.819)]), (1493, [(1493, -16, 19.83)]), (1497, [(1497, 4, 1.238)]), (1509, [(1509, 2, 0.3082)]), (1532, [(1532, 4, 1.224)]), (1541, [(1541, -4, 1.220)]), (1549, [(1549, -6, 2.738)]), (1569, [(1569, -2, 0.3023)]), (1576, [(1576, -2, 0.3016)]), (1577, [(1577, -6, 2.714)]), (1589, [(1589, -4, 1.202)]), (1596, [(1596, -6, 2.698)]), (1597, [(1597, -2, 0.2996)]), (1605, [(1605, 12, 10.76)]), (1608, [(1608, -4, 1.194)]), (1609, [(1609, 2, 0.2985)]), (1613, [(1613, 14, 14.61)]), (1641, [(1641, 4, 1.182)]), (1645, [(1645, 6, 2.657)]), (1657, [(1657, 4, 1.177)]), (1660, [(1660, 2, 0.2939)]), (1685, [(1685, -18, 23.63)]), (1688, [(1688, 2, 0.2914)]), (1689, [(1689, -2, 0.2914)]), (1697, [(1697, -8, 4.651)]), (1704, [(1704, 2, 0.2901)]), (1708, [(1708, -4, 1.159)]), (1717, [(1717, -2, 0.2890)]), (1720, [(1720, 4, 1.155)]), (1721, [(1721, -2, 0.2886)]), (1724, [(1724, -6, 2.595)]), (1733, [(1733, 20, 28.76)]), (1741, [(1741, 2, 0.2870)]), (1752, [(1752, 6, 2.575)]), (1757, [(1757, 22, 34.57)]), (1761, [(1761, -2, 0.2853)]), (1768, [(1768, 4, 1.139)]), (1784, [(1784, -10, 7.087)]), (1789, [(1789, 6, 2.548)]), (1793, [(1793, 2, 0.2828)]), (1821, [(1821, 10, 7.015)]), (1832, [(1832, -18, 22.66)]), (1833, [(1833, 6, 2.517)]), (1837, [(1837, -2, 0.2794)]), (1848, [(1848, -10, 6.964)]), (1865, [(1865, 10, 6.932)]), (1869, [(1869, -2, 0.2770)]), (1885, [(1885, -4, 1.103)]), (1889, [(1889, -6, 2.480)]), (1893, [(1893, 10, 6.880)]), (1901, [(1901, -4, 1.099)]), (1905, [(1905, 2, 0.2743)]), (1909, [(1909, 8, 4.385)]), (1916, [(1916, -8, 4.377)]), (1932, [(1932, -8, 4.359)]), (1937, [(1937, -2, 0.2721)]), (1941, [(1941, 2, 0.2718)]), (1948, [(1948, -2, 0.2713)]), (1976, [(1976, 12, 9.697)]), (1981, [(1981, -4, 1.076)]), (1985, [(1985, 6, 2.419)]), (1992, [(1992, 6, 2.415)]), (1993, [(1993, -2, 0.2682)]), (1996, [(1996, 4, 1.072)]), (2012, [(2012, 10, 6.674)]), (2013, [(2013, -4, 1.068)]), (2021, [(2021, 18, 21.57)]), (2029, [(2029, 2, 0.2658)]), (2033, [(2033, 4, 1.062)]), (2037, [(2037, -12, 9.551)]), (2040, [(2040, -4, 1.060)]), (2041, [(2041, -2, 0.2650)]), (2049, [(2049, 2, 0.2645)]), (2053, [(2053, -2, 0.2643)]), (2077, [(2077, 4, 1.051)]), (2085, [(2085, -8, 4.196)]), (2089, [(2089, -2, 0.2620)]), (2092, [(2092, 2, 0.2618)]), (2104, [(2104, -2, 0.2610)]), (2117, [(2117, 8, 4.164)]), (2129, [(2129, -2, 0.2595)]), (2140, [(2140, 4, 1.035)]), (2141, [(2141, -16, 16.56)]), (2152, [(2152, 8, 4.130)]), (2161, [(2161, 2, 0.2576)]), (2165, [(2165, 2, 0.2573)]), (2168, [(2168, 10, 6.429)]), (2177, [(2177, 2, 0.2566)]), (2181, [(2181, 6, 2.308)]), (2188, [(2188, 4, 1.024)]), (2189, [(2189, -4, 1.024)]), (2201, [(2201, -4, 1.021)]), (2233, [(2233, -4, 1.014)]), (2237, [(2237, 14, 12.41)]), (2249, [(2249, 6, 2.272)]), (2252, [(2252, -2, 0.2523)]), (2265, [(2265, 4, 1.006)]), (2281, [(2281, 2, 0.2507)]), (2289, [(2289, -2, 0.2503)]), (2296, [(2296, -2, 0.2499)]), (2309, [(2309, -10, 6.230)]), (2316, [(2316, 6, 2.239)]), (2317, [(2317, -4, 0.9950)]), (2329, [(2329, -4, 0.9925)]), (2333, [(2333, -2, 0.2479)]), (2337, [(2337, 2, 0.2477)]), (2345, [(2345, 4, 0.9891)]), (2348, [(2348, -14, 12.11)]), (2353, [(2353, 2, 0.2468)]), (2360, [(2360, -4, 0.9859)]), (2373, [(2373, 8, 3.933)]), (2381, [(2381, 14, 12.02)]), (2392, [(2392, -4, 0.9793)]), (2397, [(2397, -10, 6.114)]), (2413, [(2413, -6, 2.194)]), (2424, [(2424, 2, 0.2432)]), (2428, [(2428, -6, 2.187)]), (2429, [(2429, -8, 3.887)]), (2437, [(2437, 8, 3.881)]), (2444, [(2444, 6, 2.180)]), (2456, [(2456, 2, 0.2416)]), (2460, [(2460, -6, 2.173)]), (2465, [(2465, 4, 0.9647)]), (2477, [(2477, 20, 24.06)]), (2485, [(2485, -6, 2.162)]), (2492, [(2492, 2, 0.2399)]), (2501, [(2501, 8, 3.831)]), (2508, [(2508, 2, 0.2391)]), (2521, [(2521, -2, 0.2385)]), (2524, [(2524, 2, 0.2383)]), (2533, [(2533, -2, 0.2379)]), (2540, [(2540, 10, 5.940)]), (2545, [(2545, -2, 0.2374)]), (2561, [(2561, 6, 2.130)]), (2568, [(2568, 8, 3.781)]), (2572, [(2572, -8, 3.778)]), (2577, [(2577, 2, 0.2359)]), (2585, [(2585, 6, 2.120)]), (2588, [(2588, 10, 5.884)]), (2604, [(2604, -4, 0.9386)]), (2605, [(2605, 6, 2.111)]), (2609, [(2609, -2, 0.2344)]), (2613, [(2613, -8, 3.748)]), (2621, [(2621, -4, 0.9356)]), (2632, [(2632, -2, 0.2334)]), (2669, [(2669, 14, 11.36)]), (2677, [(2677, 2, 0.2314)]), (2684, [(2684, -8, 3.698)]), (2693, [(2693, 4, 0.9230)]), (2696, [(2696, 2, 0.2306)]), (2716, [(2716, 4, 0.9191)]), (2732, [(2732, -6, 2.062)]), (2733, [(2733, 6, 2.061)]), (2753, [(2753, 4, 0.9128)]), (2757, [(2757, -14, 11.17)]), (2760, [(2760, 4, 0.9117)]), (2761, [(2761, 2, 0.2279)]), (2769, [(2769, -2, 0.2276)]), (2773, [(2773, 4, 0.9096)]), (2777, [(2777, 4, 0.9089)]), (2780, [(2780, -12, 8.176)]), (2789, [(2789, 16, 14.51)]), (2792, [(2792, 8, 3.626)]), (2797, [(2797, -4, 0.9056)]), (2829, [(2829, -4, 0.9005)]), (2841, [(2841, 2, 0.2246)]), (2857, [(2857, -4, 0.8961)]), (2869, [(2869, -4, 0.8942)]), (2872, [(2872, -2, 0.2234)]), (2892, [(2892, -8, 3.563)]), (2901, [(2901, -8, 3.557)]), (2905, [(2905, 2, 0.2222)]), (2908, [(2908, -2, 0.2220)]), (2909, [(2909, 6, 1.998)]), (2917, [(2917, 12, 7.981)]), (2921, [(2921, -4, 0.8862)]), (2936, [(2936, -12, 7.956)]), (2937, [(2937, -2, 0.2209)]), (2941, [(2941, -2, 0.2208)]), (2945, [(2945, 12, 7.943)]), (2965, [(2965, -10, 5.498)]), (2968, [(2968, 2, 0.2198)]), (2973, [(2973, 2, 0.2196)]), (2977, [(2977, 2, 0.2195)]), (2984, [(2984, 6, 1.973)]), (3005, [(3005, -16, 13.98)]), (3016, [(3016, 4, 0.8721)]), (3017, [(3017, 6, 1.962)]), (3020, [(3020, 16, 13.95)]), (3021, [(3021, -6, 1.961)]), (3029, [(3029, 4, 0.8703)]), (3032, [(3032, 6, 1.957)]), (3036, [(3036, 4, 0.8693)]), (3048, [(3048, -6, 1.952)]), (3052, [(3052, 2, 0.2167)]), (3053, [(3053, 6, 1.950)]), (3057, [(3057, -2, 0.2166)]), (3065, [(3065, -6, 1.947)]), (3077, [(3077, 6, 1.943)]), (3085, [(3085, 2, 0.2156)]), (3089, [(3089, 6, 1.939)]), (3093, [(3093, -16, 13.78)]), (3113, [(3113, -12, 7.726)]), (3116, [(3116, -2, 0.2145)]), (3121, [(3121, 4, 0.8573)]), (3128, [(3128, -16, 13.70)]), (3137, [(3137, -8, 3.421)]), (3153, [(3153, -6, 1.919)]), (3164, [(3164, 12, 7.664)]), (3165, [(3165, 10, 5.321)]), (3169, [(3169, -2, 0.2127)]), (3176, [(3176, -6, 1.912)]), (3180, [(3180, -2, 0.2123)]), (3196, [(3196, 6, 1.906)]), (3197, [(3197, 16, 13.55)]), (3201, [(3201, -4, 0.8466)]), (3205, [(3205, -2, 0.2115)]), (3221, [(3221, 2, 0.2110)]), (3224, [(3224, -4, 0.8435)]), (3233, [(3233, -8, 3.369)]), (3237, [(3237, 2, 0.2105)]), (3261, [(3261, -8, 3.355)]), (3269, [(3269, -12, 7.539)]), (3273, [(3273, -4, 0.8372)]), (3301, [(3301, 4, 0.8336)]), (3308, [(3308, -12, 7.495)]), (3313, [(3313, -2, 0.2080)]), (3317, [(3317, -12, 7.485)]), (3324, [(3324, 8, 3.323)]), (3336, [(3336, -4, 0.8293)]), (3345, [(3345, -2, 0.2070)]), (3349, [(3349, -2, 0.2069)]), (3352, [(3352, -2, 0.2068)]), (3361, [(3361, -2, 0.2065)]), (3365, [(3365, -26, 34.88)]), (3372, [(3372, 12, 7.423)]), (3373, [(3373, 8, 3.299)]), (3385, [(3385, -2, 0.2058)]), (3389, [(3389, -4, 0.8228)]), (3409, [(3409, 2, 0.2051)]), (3417, [(3417, -8, 3.277)]), (3421, [(3421, 2, 0.2047)]), (3433, [(3433, -2, 0.2044)]), (3436, [(3436, 2, 0.2043)]), (3461, [(3461, 10, 5.088)]), (3464, [(3464, 2, 0.2034)]), (3473, [(3473, -4, 0.8127)]), (3484, [(3484, 4, 0.8115)]), (3493, [(3493, 8, 3.242)]), (3496, [(3496, 4, 0.8101)]), (3497, [(3497, -8, 3.240)]), (3513, [(3513, -4, 0.8081)]), (3517, [(3517, 8, 3.231)]), (3521, [(3521, 6, 1.816)]), (3529, [(3529, -2, 0.2016)]), (3532, [(3532, 4, 0.8059)]), (3533, [(3533, -16, 12.89)]), (3544, [(3544, -2, 0.2011)]), (3557, [(3557, -14, 9.838)]), (3560, [(3560, 20, 20.07)]), (3565, [(3565, -4, 0.8022)]), (3569, [(3569, 2, 0.2004)]), (3576, [(3576, 2, 0.2002)]), (3581, [(3581, 18, 16.21)]), (3597, [(3597, 14, 9.783)]), (3608, [(3608, 10, 4.984)]), (3612, [(3612, -2, 0.1992)]), (3613, [(3613, 4, 0.7968)]), (3621, [(3621, 2, 0.1990)]), (3624, [(3624, 4, 0.7956)]), (3628, [(3628, -4, 0.7952)]), (3641, [(3641, -4, 0.7938)]), (3644, [(3644, 2, 0.1984)]), (3649, [(3649, -2, 0.1982)]), (3661, [(3661, -6, 1.781)]), (3665, [(3665, -6, 1.780)]), (3669, [(3669, 4, 0.7907)]), (3676, [(3676, -2, 0.1975)]), (3677, [(3677, 2, 0.1975)]), (3685, [(3685, -4, 0.7890)]), (3692, [(3692, 18, 15.96)]), (3705, [(3705, 4, 0.7869)]), (3713, [(3713, -2, 0.1965)]), (3720, [(3720, -4, 0.7853)]), (3729, [(3729, -4, 0.7843)]), (3752, [(3752, -12, 7.037)]), (3756, [(3756, 2, 0.1954)]), (3761, [(3761, 4, 0.7810)]), (3768, [(3768, -2, 0.1951)]), (3769, [(3769, 4, 0.7802)]), (3772, [(3772, -8, 3.119)]), (3788, [(3788, -6, 1.751)]), (3793, [(3793, 2, 0.1944)]), (3797, [(3797, -18, 15.74)]), (3805, [(3805, -6, 1.747)]), (3813, [(3813, 16, 12.41)]), (3829, [(3829, 4, 0.7740)]), (3833, [(3833, -2, 0.1934)]), (3865, [(3865, 2, 0.1926)]), (3868, [(3868, -4, 0.7701)]), (3877, [(3877, -6, 1.731)]), (3880, [(3880, 8, 3.076)]), (3893, [(3893, -10, 4.798)]), (3905, [(3905, -2, 0.1916)]), (3909, [(3909, 6, 1.724)]), (3916, [(3916, -2, 0.1913)]), (3917, [(3917, 10, 4.783)]), (3928, [(3928, -4, 0.7642)]), (3941, [(3941, -2, 0.1907)]), (3944, [(3944, -12, 6.864)]), (3945, [(3945, -2, 0.1906)]), (3953, [(3953, 8, 3.047)]), (3957, [(3957, -6, 1.713)]), (3964, [(3964, 2, 0.1902)]), (3965, [(3965, -16, 12.17)]), (3973, [(3973, -8, 3.040)]), (3976, [(3976, -2, 0.1899)]), (3977, [(3977, -12, 6.836)]), (3981, [(3981, 2, 0.1898)]), (4001, [(4001, 6, 1.704)]), (4009, [(4009, 2, 0.1891)]), (4013, [(4013, -2, 0.1890)]), (4028, [(4028, -6, 1.698)]), (4053, [(4053, 2, 0.1881)]), (4065, [(4065, 6, 1.690)]), (4072, [(4072, -6, 1.689)]), (4076, [(4076, 6, 1.688)]), (4085, [(4085, -20, 18.73)]), (4088, [(4088, -22, 22.66)]), (4089, [(4089, 4, 0.7490)]), (4092, [(4092, -4, 0.7487)]), (4093, [(4093, 4, 0.7486)]), (4101, [(4101, -4, 0.7479)]), (4105, [(4105, -2, 0.1869)]), (4109, [(4109, -14, 9.153)]), (4120, [(4120, -4, 0.7462)]), (4121, [(4121, -8, 2.984)]), (4124, [(4124, 16, 11.93)]), (4129, [(4129, 2, 0.1863)]), (4136, [(4136, -10, 4.655)]), (4152, [(4152, -2, 0.1858)]), (4161, [(4161, -2, 0.1856)]), (4168, [(4168, 6, 1.669)]), (4173, [(4173, -4, 0.7414)]), (4189, [(4189, -4, 0.7400)]), (4201, [(4201, 4, 0.7390)]), (4204, [(4204, 6, 1.662)]), (4213, [(4213, -4, 0.7379)]), (4216, [(4216, -4, 0.7377)]), (4220, [(4220, -10, 4.608)]), (4233, [(4233, 2, 0.1840)]), (4236, [(4236, 2, 0.1840)]), (4237, [(4237, 6, 1.656)]), (4241, [(4241, 8, 2.942)]), (4249, [(4249, -2, 0.1837)]), (4253, [(4253, 26, 31.03)]), (4261, [(4261, -4, 0.7337)]), (4268, [(4268, -20, 18.33)]), (4269, [(4269, -2, 0.1833)]), (4273, [(4273, 2, 0.1832)]), (4277, [(4277, -14, 8.972)]), (4297, [(4297, 6, 1.644)]), (4305, [(4305, 2, 0.1825)]), (4316, [(4316, -10, 4.557)]), (4337, [(4337, -2, 0.1818)]), (4344, [(4344, 2, 0.1817)]), (4348, [(4348, 4, 0.7264)]), (4349, [(4349, 16, 11.62)]), (4353, [(4353, -6, 1.633)]), (4360, [(4360, -4, 0.7254)]), (4364, [(4364, -8, 2.900)]), (4380, [(4380, 2, 0.1809)]), (4381, [(4381, -6, 1.628)]), (4385, [(4385, 4, 0.7233)]), (4389, [(4389, 2, 0.1807)]), (4397, [(4397, 14, 8.848)]), (4408, [(4408, 4, 0.7214)]), (4409, [(4409, 6, 1.623)]), (4417, [(4417, 6, 1.622)]), (4421, [(4421, -10, 4.502)]), (4445, [(4445, 22, 21.73)]), (4457, [(4457, 12, 6.457)]), (4460, [(4460, 2, 0.1793)]), (4469, [(4469, 10, 4.478)]), 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(4741, [(4741, -2, 0.1739)]), (4744, [(4744, -2, 0.1738)]), (4749, [(4749, 12, 6.255)]), (4760, [(4760, -4, 0.6942)]), (4765, [(4765, 6, 1.561)]), (4781, [(4781, 10, 4.329)]), (4792, [(4792, -6, 1.557)]), (4793, [(4793, -6, 1.557)]), (4796, [(4796, 6, 1.556)]), (4808, [(4808, -12, 6.217)]), (4812, [(4812, 2, 0.1726)]), (4828, [(4828, 6, 1.551)]), (4829, [(4829, -12, 6.203)]), (4841, [(4841, -2, 0.1721)]), (4845, [(4845, 4, 0.6881)]), (4849, [(4849, -2, 0.1720)]), (4853, [(4853, -24, 24.75)]), (4865, [(4865, -4, 0.6867)]), (4876, [(4876, 4, 0.6859)]), (4892, [(4892, -16, 10.96)]), (4897, [(4897, -4, 0.6844)]), (4904, [(4904, -6, 1.539)]), (4908, [(4908, -4, 0.6837)]), (4929, [(4929, -4, 0.6822)]), (4936, [(4936, 2, 0.1704)]), (4940, [(4940, -4, 0.6815)]), (4945, [(4945, -4, 0.6811)]), (4952, [(4952, 2, 0.1702)]), (4953, [(4953, 2, 0.1701)]), (4972, [(4972, -8, 2.717)]), (4973, [(4973, 22, 20.55)]), (4981, [(4981, 4, 0.6786)]), (4989, [(4989, 4, 0.6781)]), (4993, [(4993, -2, 0.1695)]), (4997, [(4997, -10, 4.235)]), (5001, [(5001, 2, 0.1693)]), (5009, [(5009, -2, 0.1692)]), (5037, [(5037, -20, 16.87)]), (5045, [(5045, 6, 1.517)]), (5052, [(5052, -2, 0.1685)]), (5061, [(5061, 8, 2.693)]), (5064, [(5064, 6, 1.514)]), (5084, [(5084, 4, 0.6717)]), (5089, [(5089, -2, 0.1679)]), (5093, [(5093, 16, 10.74)]), (5101, [(5101, 2, 0.1677)]), (5128, [(5128, 6, 1.505)]), (5129, [(5129, 4, 0.6688)]), (5141, [(5141, 12, 6.012)]), (5149, [(5149, 2, 0.1669)]), (5160, [(5160, 4, 0.6668)]), (5161, [(5161, 2, 0.1667)]), (5165, [(5165, 2, 0.1666)]), (5209, [(5209, -2, 0.1659)]), (5212, [(5212, -2, 0.1659)]), (5237, [(5237, -22, 20.02)]), (5240, [(5240, 8, 2.647)]), (5241, [(5241, 2, 0.1654)]), (5249, [(5249, -4, 0.6611)]), (5260, [(5260, -2, 0.1651)]), (5269, [(5269, -8, 2.639)]), (5272, [(5272, -6, 1.484)]), (5273, [(5273, -8, 2.638)]), (5276, [(5276, -18, 13.35)]), (5277, [(5277, 6, 1.484)]), (5285, [(5285, 4, 0.6588)]), (5289, [(5289, -2, 0.1646)]), (5297, [(5297, -10, 4.113)]), (5304, [(5304, 4, 0.6577)]), (5308, [(5308, -10, 4.109)]), (5313, [(5313, 4, 0.6571)]), (5333, [(5333, 16, 10.49)]), (5336, [(5336, 4, 0.6557)]), (5345, [(5345, 8, 2.621)]), (5352, [(5352, -10, 4.092)]), (5357, [(5357, -26, 27.65)]), (5384, [(5384, 14, 7.996)]), (5385, [(5385, -10, 4.079)]), (5388, [(5388, -6, 1.468)]), (5389, [(5389, 12, 5.872)]), (5397, [(5397, -24, 23.47)]), (5404, [(5404, 2, 0.1629)]), (5416, [(5416, -2, 0.1627)]), (5417, [(5417, -4, 0.6508)]), (5420, [(5420, 10, 4.066)]), (5421, [(5421, 8, 2.602)]), (5433, [(5433, 4, 0.6498)]), (5437, [(5437, 8, 2.598)]), (5441, [(5441, -4, 0.6493)]), (5452, [(5452, -4, 0.6487)]), (5453, [(5453, 38, 58.54)]), (5457, [(5457, -4, 0.6484)]), (5461, [(5461, 2, 0.1620)]), (5468, [(5468, -16, 10.36)]), (5484, [(5484, 6, 1.455)]), (5489, [(5489, -4, 0.6465)]), (5496, [(5496, 6, 1.454)]), (5521, [(5521, -4, 0.6446)]), (5528, [(5528, -20, 16.10)]), (5532, [(5532, -2, 0.1610)]), (5533, [(5533, 2, 0.1610)]), (5545, [(5545, -2, 0.1608)]), (5548, [(5548, -2, 0.1608)]), (5564, [(5564, -4, 0.6421)]), (5565, [(5565, -2, 0.1605)]), (5573, [(5573, -2, 0.1604)]), (5581, [(5581, 4, 0.6411)]), (5585, [(5585, 10, 4.006)]), (5592, [(5592, 12, 5.765)]), (5593, [(5593, -2, 0.1601)]), (5605, [(5605, 4, 0.6398)]), (5609, [(5609, 2, 0.1599)]), (5629, [(5629, 6, 1.436)]), (5637, [(5637, -6, 1.435)]), (5641, [(5641, -2, 0.1594)]), (5644, [(5644, -2, 0.1594)]), (5653, [(5653, 2, 0.1593)]), (5656, [(5656, -2, 0.1592)]), (5669, [(5669, 14, 7.793)]), (5676, [(5676, 2, 0.1589)]), (5685, [(5685, 6, 1.429)]), (5692, [(5692, -6, 1.428)]), (5693, [(5693, -12, 5.713)]), (5704, [(5704, -4, 0.6342)]), (5717, [(5717, 38, 57.17)]), (5720, [(5720, -16, 10.13)]), (5721, [(5721, -2, 0.1583)]), (5729, [(5729, -6, 1.424)]), (5737, [(5737, -2, 0.1581)]), (5740, [(5740, 2, 0.1580)]), (5749, [(5749, 4, 0.6317)]), (5752, [(5752, 2, 0.1579)]), (5753, [(5753, 6, 1.421)]), (5757, [(5757, 18, 12.78)]), (5777, [(5777, 14, 7.719)]), (5785, [(5785, -4, 0.6297)]), (5789, [(5789, -8, 2.518)]), (5801, [(5801, -6, 1.415)]), (5804, [(5804, -2, 0.1572)]), (5817, [(5817, -4, 0.6280)]), (5829, [(5829, -16, 10.04)]), (5833, [(5833, -2, 0.1568)]), (5848, [(5848, 4, 0.6263)]), (5852, [(5852, 14, 7.670)]), (5861, [(5861, 10, 3.910)]), (5864, [(5864, 2, 0.1564)]), (5865, [(5865, 4, 0.6254)]), (5885, [(5885, -4, 0.6244)]), (5889, [(5889, -4, 0.6241)]), (5896, [(5896, 4, 0.6238)]), (5897, [(5897, -8, 2.495)]), (5901, [(5901, 4, 0.6235)]), (5905, [(5905, 2, 0.1558)]), (5912, [(5912, 6, 1.402)]), (5928, [(5928, -4, 0.6221)]), (5937, [(5937, 4, 0.6216)]), (5944, [(5944, -2, 0.1553)]), (5965, [(5965, 10, 3.876)]), (5980, [(5980, -8, 2.477)]), (5981, [(5981, 12, 5.574)]), (5989, [(5989, -4, 0.6189)]), (5992, [(5992, -4, 0.6188)]), (5996, [(5996, 10, 3.866)]), (6008, [(6008, -22, 18.69)]), (6009, [(6009, -2, 0.1545)]), (6013, [(6013, -14, 7.566)]), (6017, [(6017, -4, 0.6175)]), (6029, [(6029, -2, 0.1542)]), (6033, [(6033, 2, 0.1542)]), (6037, [(6037, -4, 0.6164)]), (6044, [(6044, 6, 1.386)]), (6045, [(6045, -8, 2.464)]), (6053, [(6053, 2, 0.1539)]), (6060, [(6060, -10, 3.845)]), (6073, [(6073, 2, 0.1537)]), (6081, [(6081, 2, 0.1536)]), (6085, [(6085, -10, 3.838)]), (6088, [(6088, 2, 0.1535)]), (6092, [(6092, 12, 5.523)]), (6113, [(6113, 10, 3.829)]), (6124, [(6124, 2, 0.1530)]), (6136, [(6136, 4, 0.6115)]), (6140, [(6140, 2, 0.1528)]), (6157, [(6157, -10, 3.815)]), (6161, [(6161, 8, 2.441)]), (6173, [(6173, 14, 7.468)]), (6177, [(6177, -8, 2.438)]), (6181, [(6181, -8, 2.437)]), (6184, [(6184, 6, 1.370)]), (6185, [(6185, -4, 0.6090)]), (6193, [(6193, 2, 0.1522)]), (6197, [(6197, 2, 0.1521)]), (6221, [(6221, 10, 3.795)]), (6229, [(6229, 2, 0.1517)]), (6233, [(6233, -4, 0.6067)]), (6236, [(6236, -16, 9.704)]), (6245, [(6245, 18, 12.27)]), (6248, [(6248, -14, 7.423)]), (6261, [(6261, -12, 5.448)]), (6268, [(6268, -4, 0.6050)]), (6277, [(6277, -10, 3.778)]), (6284, [(6284, -2, 0.1511)]), (6285, [(6285, 14, 7.401)]), (6296, [(6296, 10, 3.773)]), (6305, [(6305, 4, 0.6032)]), (6312, [(6312, -2, 0.1507)]), (6313, [(6313, -4, 0.6028)]), (6329, [(6329, -4, 0.6021)]), (6332, [(6332, -8, 2.408)]), (6333, [(6333, -20, 15.05)]), (6341, [(6341, 10, 3.759)]), (6344, [(6344, -16, 9.621)]), (6349, [(6349, -4, 0.6011)]), (6369, [(6369, -2, 0.1500)]), (6377, [(6377, 2, 0.1499)]), (6393, [(6393, 4, 0.5990)]), (6396, [(6396, -2, 0.1497)]), (6424, [(6424, 2, 0.1494)]), (6433, [(6433, 2, 0.1493)]), (6440, [(6440, -12, 5.372)]), (6456, [(6456, 4, 0.5961)]), (6457, [(6457, 2, 0.1490)]), (6460, [(6460, 4, 0.5959)]), (6461, [(6461, -14, 7.299)]), (6469, [(6469, 2, 0.1489)]), (6473, [(6473, 2, 0.1488)]), (6477, [(6477, -2, 0.1488)]), (6481, [(6481, 2, 0.1487)]), (6488, [(6488, 2, 0.1487)]), (6492, [(6492, -12, 5.350)]), (6497, [(6497, -10, 3.714)]), (6504, [(6504, 2, 0.1485)]), (6520, [(6520, -4, 0.5932)]), (6536, [(6536, -8, 2.370)]), (6541, [(6541, 8, 2.369)]), (6557, [(6557, -22, 17.89)]), (6568, [(6568, -2, 0.1477)]), (6569, [(6569, 2, 0.1477)]), (6572, [(6572, 8, 2.363)]), (6573, [(6573, -2, 0.1477)]), (6581, [(6581, 6, 1.328)]), (6584, [(6584, -12, 5.312)]), (6604, [(6604, -2, 0.1473)]), (6605, [(6605, -10, 3.683)]), (6609, [(6609, 4, 0.5892)]), (6617, [(6617, 6, 1.325)]), (6621, [(6621, -16, 9.418)]), (6629, [(6629, -2, 0.1471)]), (6636, [(6636, -6, 1.323)]), (6637, [(6637, 6, 1.323)]), (6641, [(6641, -4, 0.5877)]), (6645, [(6645, -6, 1.322)]), (6652, [(6652, 4, 0.5872)]), (6668, [(6668, 14, 7.185)]), (6673, [(6673, -2, 0.1466)]), (6677, [(6677, 26, 24.77)]), (6680, [(6680, 12, 5.274)]), (6689, [(6689, 8, 2.343)]), (6712, [(6712, 12, 5.262)]), (6716, [(6716, -8, 2.338)]), (6717, [(6717, -2, 0.1461)]), (6721, [(6721, -2, 0.1461)]), (6729, [(6729, -2, 0.1460)]), (6749, [(6749, -2, 0.1458)]), (6753, [(6753, 10, 3.643)]), (6757, [(6757, 4, 0.5827)]), (6765, [(6765, 6, 1.310)]), (6773, [(6773, -2, 0.1455)]), (6785, [(6785, -4, 0.5815)]), (6789, [(6789, -8, 2.325)]), (6821, [(6821, -14, 7.104)]), (6828, [(6828, 8, 2.319)]), (6837, [(6837, 6, 1.303)]), (6853, [(6853, 14, 7.088)]), (6869, [(6869, -18, 11.70)]), (6888, [(6888, 2, 0.1443)]), (6901, [(6901, -4, 0.5766)]), (6905, [(6905, 14, 7.061)]), (6917, [(6917, 6, 1.296)]), (6924, [(6924, 10, 3.598)]), (6933, [(6933, -4, 0.5752)]), (6937, [(6937, -2, 0.1438)]), (6941, [(6941, 2, 0.1437)]), (6961, [(6961, -4, 0.5741)]), (6969, [(6969, 4, 0.5737)]), (6973, [(6973, 8, 2.294)]), (6985, [(6985, -6, 1.289)]), (6988, [(6988, 2, 0.1432)]), (7001, [(7001, -8, 2.290)]), (7013, [(7013, 26, 24.16)]), (7016, [(7016, -8, 2.287)]), (7017, [(7017, 10, 3.574)]), (7032, [(7032, 4, 0.5712)]), (7036, [(7036, 2, 0.1428)]), (7045, [(7045, 2, 0.1427)]), (7048, [(7048, -4, 0.5705)]), (7049, [(7049, 2, 0.1426)]), (7052, [(7052, 6, 1.283)]), (7053, [(7053, 10, 3.564)]), (7061, [(7061, -24, 20.52)]), (7069, [(7069, -6, 1.282)]), (7073, [(7073, -4, 0.5695)]), (7080, [(7080, -12, 5.123)]), (7081, [(7081, 4, 0.5692)]), (7085, [(7085, -8, 2.276)]), (7089, [(7089, 4, 0.5689)]), (7096, [(7096, 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1.238)]), (7593, [(7593, 2, 0.1374)]), (7608, [(7608, 12, 4.942)]), (7617, [(7617, -6, 1.235)]), (7624, [(7624, 2, 0.1371)]), (7628, [(7628, -2, 0.1371)]), (7637, [(7637, 16, 8.769)]), (7640, [(7640, 20, 13.70)]), (7645, [(7645, -4, 0.5478)]), (7653, [(7653, -2, 0.1369)]), (7657, [(7657, 4, 0.5474)]), (7661, [(7661, -2, 0.1368)]), (7665, [(7665, 2, 0.1368)]), (7672, [(7672, 4, 0.5468)]), (7673, [(7673, 2, 0.1367)]), (7676, [(7676, -6, 1.230)]), (7681, [(7681, -4, 0.5465)]), (7701, [(7701, 8, 2.183)]), (7709, [(7709, 2, 0.1364)]), (7720, [(7720, -4, 0.5451)]), (7752, [(7752, 8, 2.176)]), (7753, [(7753, -4, 0.5440)]), (7757, [(7757, 8, 2.175)]), (7765, [(7765, 4, 0.5435)]), (7784, [(7784, 8, 2.172)]), (7788, [(7788, 4, 0.5427)]), (7793, [(7793, -8, 2.170)]), (7801, [(7801, -4, 0.5423)]), (7805, [(7805, 10, 3.388)]), (7809, [(7809, 4, 0.5420)]), (7813, [(7813, 4, 0.5419)]), (7820, [(7820, -12, 4.875)]), (7829, [(7829, -14, 6.631)]), (7836, [(7836, 4, 0.5411)]), (7849, [(7849, 2, 0.1352)]), (7861, [(7861, 4, 0.5402)]), (7864, [(7864, -6, 1.215)]), (7868, [(7868, -4, 0.5400)]), (7873, [(7873, 2, 0.1350)]), (7896, [(7896, 2, 0.1348)]), (7901, [(7901, -20, 13.47)]), (7913, [(7913, 2, 0.1346)]), (7916, [(7916, 12, 4.845)]), (7932, [(7932, 6, 1.210)]), (7933, [(7933, -4, 0.5378)]), (7937, [(7937, -12, 4.839)]), (7941, [(7941, 2, 0.1344)]), (7949, [(7949, -6, 1.209)]), (7957, [(7957, 6, 1.208)]), (7960, [(7960, 4, 0.5368)]), (7961, [(7961, -2, 0.1342)]), (7969, [(7969, -2, 0.1341)]), (7973, [(7973, -16, 8.583)]), (7977, [(7977, 6, 1.207)]), (7997, [(7997, -18, 10.85)]), (8009, [(8009, -6, 1.204)]), (8012, [(8012, -14, 6.555)]), (8021, [(8021, -22, 16.18)]), (8024, [(8024, 12, 4.812)]), (8044, [(8044, 2, 0.1335)]), (8049, [(8049, 6, 1.201)]), (8053, [(8053, -8, 2.135)]), (8060, [(8060, -24, 19.21)]), (8061, [(8061, 2, 0.1334)]), (8072, [(8072, -10, 3.332)]), (8081, [(8081, 6, 1.199)]), (8088, [(8088, -6, 1.198)]), (8089, [(8089, -2, 0.1331)]), (8097, [(8097, -8, 2.129)]), (8101, [(8101, -2, 0.1330)]), (8105, [(8105, 2, 0.1330)]), (8108, [(8108, -2, 0.1330)]), (8117, [(8117, -26, 22.46)]), (8120, [(8120, -8, 2.126)]), (8153, [(8153, 20, 13.26)]), (8157, [(8157, -10, 3.315)]), (8169, [(8169, -8, 2.120)]), (8185, [(8185, 2, 0.1324)]), (8197, [(8197, 12, 4.761)]), (8201, [(8201, -8, 2.116)]), (8216, [(8216, -12, 4.756)]), (8229, [(8229, -2, 0.1320)]), (8237, [(8237, 20, 13.19)]), (8245, [(8245, -12, 4.747)]), (8249, [(8249, 12, 4.746)]), (8257, [(8257, -4, 0.5271)]), (8264, [(8264, -2, 0.1317)]), (8265, [(8265, -4, 0.5268)]), (8268, [(8268, 6, 1.185)]), (8269, [(8269, -2, 0.1317)]), (8273, [(8273, -8, 2.106)]), (8301, [(8301, -18, 10.65)]), (8312, [(8312, 26, 22.20)]), (8317, [(8317, 2, 0.1313)]), (8333, [(8333, -14, 6.427)]), (8344, [(8344, 6, 1.180)]), (8345, [(8345, 16, 8.389)]), (8348, [(8348, 4, 0.5242)]), (8357, [(8357, 44, 63.40)]), (8360, [(8360, 8, 2.095)]), (8364, [(8364, -2, 0.1309)]), (8377, [(8377, -2, 0.1308)]), (8380, [(8380, -2, 0.1308)]), (8385, [(8385, -4, 0.5231)]), (8393, [(8393, -6, 1.176)]), (8412, [(8412, 4, 0.5222)]), (8413, [(8413, 4, 0.5222)]), (8417, [(8417, -2, 0.1305)]), (8421, [(8421, 6, 1.174)]), (8441, [(8441, 4, 0.5213)]), (8444, [(8444, -12, 4.691)]), (8449, [(8449, -2, 0.1303)]), (8453, [(8453, -16, 8.335)]), (8456, [(8456, -12, 4.688)]), (8465, [(8465, 12, 4.685)]), (8481, [(8481, -4, 0.5201)]), (8488, [(8488, 4, 0.5199)]), (8492, [(8492, 10, 3.248)]), (8493, [(8493, -6, 1.169)]), (8504, [(8504, 6, 1.169)]), (8508, [(8508, -6, 1.168)]), (8529, [(8529, -2, 0.1297)]), (8533, [(8533, -4, 0.5185)]), (8545, [(8545, -2, 0.1295)]), (8549, [(8549, 26, 21.89)]), (8552, [(8552, 8, 2.072)]), (8553, [(8553, -4, 0.5179)]), (8561, [(8561, 4, 0.5177)]), (8565, [(8565, -14, 6.340)]), (8569, [(8569, -2, 0.1294)]), (8597, [(8597, 20, 12.91)]), (8601, [(8601, -4, 0.5164)]), (8616, [(8616, -6, 1.161)]), (8629, [(8629, -6, 1.160)]), (8636, [(8636, -6, 1.160)]), (8641, [(8641, 6, 1.159)]), (8645, [(8645, -20, 12.88)]), (8652, [(8652, 2, 0.1287)]), (8653, [(8653, -2, 0.1287)]), (8677, [(8677, 12, 4.628)]), (8680, [(8680, 4, 0.5141)]), (8681, [(8681, -2, 0.1285)]), (8689, [(8689, 2, 0.1285)]), (8693, [(8693, -22, 15.54)]), (8697, [(8697, 2, 0.1284)]), (8701, [(8701, 4, 0.5135)]), (8709, [(8709, 8, 2.053)]), (8717, [(8717, 12, 4.617)]), (8745, [(8745, 6, 1.152)]), (8749, [(8749, -2, 0.1280)]), (8761, [(8761, 2, 0.1279)]), (8764, [(8764, -6, 1.151)]), (8777, [(8777, -16, 8.180)]), (8789, [(8789, 22, 15.45)]), (8792, [(8792, -2, 0.1277)]), (8801, [(8801, 2, 0.1276)]), (8808, [(8808, -8, 2.041)]), (8812, [(8812, -4, 0.5102)]), (8821, [(8821, 2, 0.1275)]), (8828, [(8828, -4, 0.5098)]), (8837, [(8837, 16, 8.152)]), (8841, [(8841, 2, 0.1273)]), (8849, [(8849, -4, 0.5092)]), (8857, [(8857, 2, 0.1272)]), (8860, [(8860, 2, 0.1272)]), (8861, [(8861, 26, 21.50)]), (8872, [(8872, 2, 0.1271)]), (8885, [(8885, -8, 2.033)]), (8888, [(8888, 14, 6.224)]), (8893, [(8893, -4, 0.5079)]), (8897, [(8897, 4, 0.5078)]), (8904, [(8904, 6, 1.142)]), (8909, [(8909, -8, 2.030)]), (8936, [(8936, 6, 1.140)]), (8940, [(8940, 10, 3.166)]), (8949, [(8949, -18, 10.25)]), (8952, [(8952, 6, 1.139)]), (8956, [(8956, -6, 1.139)]), (8969, [(8969, 4, 0.5057)]), (8972, [(8972, 22, 15.30)]), (8977, [(8977, 4, 0.5055)]), (8985, [(8985, -2, 0.1263)]), (8989, [(8989, 2, 0.1263)]), (8997, [(8997, 22, 15.27)]), (9004, [(9004, -2, 0.1262)]), (9005, [(9005, -22, 15.27)]), (9013, [(9013, 6, 1.135)]), (9020, [(9020, 18, 10.21)]), (9033, [(9033, 8, 2.016)]), (9041, [(9041, 2, 0.1259)]), (9048, [(9048, -4, 0.5035)]), (9052, [(9052, 4, 0.5034)]), (9057, [(9057, 4, 0.5033)]), (9073, [(9073, -2, 0.1257)]), (9085, [(9085, -8, 2.010)]), (9089, [(9089, 8, 2.010)]), (9096, [(9096, -2, 0.1255)]), (9116, [(9116, -6, 1.129)]), (9121, [(9121, -2, 0.1254)]), (9133, [(9133, 6, 1.128)]), (9137, [(9137, -12, 4.510)]), (9141, [(9141, -8, 2.004)]), (9145, [(9145, -4, 0.5009)]), (9157, [(9157, -2, 0.1251)]), (9161, [(9161, -4, 0.5004)]), (9193, [(9193, -4, 0.4995)]), (9205, [(9205, -2, 0.1248)]), (9208, [(9208, -2, 0.1248)]), (9221, [(9221, -10, 3.117)]), (9228, [(9228, 16, 7.978)]), (9233, [(9233, 10, 3.115)]), (9237, [(9237, 12, 4.485)]), (9269, [(9269, -12, 4.477)]), (9272, [(9272, -12, 4.477)]), (9285, [(9285, 14, 6.089)]), (9289, [(9289, 2, 0.1242)]), (9292, [(9292, 8, 1.988)]), (9293, [(9293, 28, 24.35)]), (9301, [(9301, -6, 1.117)]), (9304, [(9304, -4, 0.4966)]), (9305, [(9305, 14, 6.083)]), (9309, [(9309, -12, 4.468)]), (9329, [(9329, 4, 0.4959)]), (9337, [(9337, 2, 0.1239)]), (9341, [(9341, -34, 35.81)]), (9353, [(9353, -4, 0.4953)]), (9356, [(9356, -2, 0.1238)]), (9384, [(9384, -8, 1.978)]), (9385, [(9385, 4, 0.4944)]), (9404, [(9404, 6, 1.111)]), (9413, [(9413, 26, 20.86)]), (9416, [(9416, -16, 7.897)]), (9417, [(9417, -2, 0.1234)]), (9420, [(9420, -6, 1.110)]), (9421, [(9421, 4, 0.4935)]), (9429, [(9429, 14, 6.042)]), (9433, [(9433, 4, 0.4931)]), (9437, [(9437, -22, 14.91)]), (9448, [(9448, 2, 0.1232)]), (9449, [(9449, 6, 1.109)]), (9452, [(9452, 8, 1.971)]), (9453, [(9453, 16, 7.882)]), (9485, [(9485, 10, 3.074)]), (9496, [(9496, -2, 0.1229)]), (9501, [(9501, -14, 6.019)]), (9517, [(9517, -12, 4.419)]), (9528, [(9528, 6, 1.104)]), (9529, [(9529, -2, 0.1227)]), (9532, [(9532, -4, 0.4906)]), (9533, [(9533, -20, 12.26)]), (9544, [(9544, 2, 0.1226)]), (9548, [(9548, 8, 1.961)]), (9560, [(9560, 20, 12.25)]), (9561, [(9561, 8, 1.959)]), (9564, [(9564, -4, 0.4898)]), (9565, [(9565, -2, 0.1224)]), (9569, [(9569, 4, 0.4896)]), (9577, [(9577, 4, 0.4894)]), (9581, [(9581, -16, 7.829)]), (9589, [(9589, 6, 1.101)]), (9596, [(9596, 8, 1.956)]), (9597, [(9597, -10, 3.056)]), (9601, [(9601, 2, 0.1222)]), (9605, [(9605, 36, 39.59)]), (9628, [(9628, -4, 0.4881)]), (9637, [(9637, -8, 1.952)]), (9644, [(9644, 6, 1.097)]), (9649, [(9649, 2, 0.1219)]), (9665, [(9665, -6, 1.096)]), (9672, [(9672, -4, 0.4870)]), (9676, [(9676, -8, 1.948)]), (9677, [(9677, -8, 1.948)]), (9681, [(9681, -2, 0.1217)]), (9688, [(9688, -2, 0.1217)]), (9689, [(9689, -4, 0.4866)]), (9692, [(9692, -6, 1.095)]), (9709, [(9709, 2, 0.1215)]), (9713, [(9713, 4, 0.4860)]), (9717, [(9717, -10, 3.037)]), (9733, [(9733, 4, 0.4855)]), (9736, [(9736, -2, 0.1214)]), (9737, [(9737, 16, 7.766)]), (9745, [(9745, -6, 1.092)]), (9749, [(9749, 6, 1.091)]), (9753, [(9753, -4, 0.4850)]), (9781, [(9781, -4, 0.4843)]), (9785, [(9785, -12, 4.358)]), (9788, [(9788, 2, 0.1210)]), (9797, [(9797, -12, 4.355)]), (9813, [(9813, 8, 1.934)]), (9820, [(9820, -4, 0.4833)]), (9829, [(9829, 4, 0.4831)]), (9836, [(9836, 10, 3.018)]), (9848, [(9848, -6, 1.086)]), (9857, [(9857, 2, 0.1206)]), (9861, [(9861, -2, 0.1206)]), (9865, [(9865, 4, 0.4822)]), (9877, [(9877, 6, 1.084)]), (9881, [(9881, 4, 0.4818)]), (9884, [(9884, -10, 3.011)]), (9885, [(9885, -2, 0.1204)]), (9893, [(9893, 10, 3.010)]), (9896, [(9896, -24, 17.33)]), (9897, [(9897, -4, 0.4814)]), (9901, [(9901, -6, 1.083)]), (9921, [(9921, -4, 0.4809)]), (9929, [(9929, -4, 0.4807)]), (9933, [(9933, -2, 0.1201)]), (9948, [(9948, -12, 4.322)]), (9961, [(9961, -2, 0.1200)]), (9973, [(9973, -6, 1.079)]), (9977, [(9977, 16, 7.672)]), (9985, [(9985, 2, 0.1198)]), (9992, [(9992, 22, 14.49)])]]