# label = 11.2.a.a
# Base field F = Number Field in a with defining polynomial x - 1
# Quaternion algebra given by i^2 = -1, j^2 = -11
# Order with basis over the integers given by [1, -i, 1/2*i + 1/2*j, 1/2 + 1/2*k]

# Nmax = 10000

[(1, [-i, 1/2*i + 1/2*j, 1/2 + 1/2*k]), (-1, [(-3)*i, 3/2*i + 1/2*j, 1/2 + 2/3*i + 1/6*k])]
[((11,), 27/2 + 3*i + j + 25/2*k)]

# map: (1 |-> 1.0) -> -1, Fractional ideal (11) -> -1
[1, None, [(-3, [(-3, -1, 1.684)]), (-4, [(-4, 1, 1.458)]), (-11, [(-11, 1, 1.759)]), (-15, [(-15, -1, 0.7531)]), (-20, [(-20, -1, 0.6522)]), (-23, [(-23, 1, 0.6082)]), (-31, [(-31, 1, 0.5239)]), (-47, [(-47, 0, 0)]), (-55, [(-55, -1, 0.7866)]), (-56, [(-56, -2, 1.559)]), (-59, [(-59, 1, 0.3797)]), (-67, [(-67, -3, 3.207)]), (-71, [(-71, -1, 0.3462)]), (-88, [(-88, 2, 2.487)]), (-91, [(-91, 4, 4.892)]), (-103, [(-103, 0, 0)]), (-104, [(-104, 2, 1.144)]), (-111, [(-111, 1, 0.2769)]), (-115, [(-115, -1, 0.2720)]), (-119, [(-119, 0, 0)]), (-132, [(-132, -1, 0.5077)]), (-136, [(-136, -2, 1.000)]), (-143, [(-143, 0, 0)]), (-148, [(-148, -1, 0.2398)]), (-152, [(-152, 2, 0.9463)]), (-155, [(-155, 3, 2.109)]), (-159, [(-159, 0, 0)]), (-163, [(-163, 2, 0.9138)]), (-168, [(-168, -2, 0.9001)]), (-179, [(-179, -5, 5.450)]), (-187, [(-187, 2, 1.706)]), (-191, [(-191, 1, 0.2111)]), (-199, [(-199, -2, 0.8271)]), (-203, [(-203, -2, 0.8189)]), (-212, [(-212, 2, 0.8013)]), (-223, [(-223, -1, 0.1953)]), (-231, [(-231, 2, 1.535)]), (-232, [(-232, 4, 3.064)]), (-235, [(-235, -6, 6.850)]), (-247, [(-247, 2, 0.7424)]), (-251, [(-251, -1, 0.1841)]), (-264, [(-264, -2, 1.436)]), (-267, [(-267, -1, 0.1785)]), (-276, [(-276, 1, 0.1756)]), (-280, [(-280, -2, 0.6972)]), (-287, [(-287, -2, 0.6887)]), (-291, [(-291, 3, 1.539)]), (-295, [(-295, 1, 0.1698)]), (-308, [(-308, -2, 1.330)]), (-311, [(-311, -2, 0.6616)]), (-312, [(-312, -2, 0.6605)]), (-319, [(-319, 0, 0)]), (-323, [(-323, -2, 0.6492)]), (-328, [(-328, -2, 0.6442)]), (-331, [(-331, 1, 0.1603)]), (-335, [(-335, 1, 0.1594)]), (-339, [(-339, 7, 7.762)]), (-344, [(-344, 0, 0)]), (-355, [(-355, 3, 1.393)]), (-356, [(-356, -1, 0.1546)]), (-367, [(-367, 3, 1.370)]), (-372, [(-372, 3, 1.361)]), (-379, [(-379, 1, 0.1498)]), (-383, [(-383, -1, 0.1490)]), (-388, [(-388, 3, 1.333)]), (-399, [(-399, 2, 0.5841)]), (-407, [(-407, 1, 0.2892)]), (-408, [(-408, -2, 0.5776)]), (-411, [(-411, -3, 1.295)]), (-419, [(-419, -2, 0.5700)]), (-427, [(-427, -6, 5.082)]), (-440, [(-440, 2, 1.112)]), (-443, [(-443, 5, 3.464)]), (-451, [(-451, -4, 4.395)]), (-452, [(-452, 1, 0.1372)]), (-455, [(-455, 0, 0)]), (-456, [(-456, 6, 4.917)]), (-463, [(-463, -1, 0.1356)]), (-467, [(-467, -1, 0.1350)]), (-471, [(-471, -3, 1.210)]), (-487, [(-487, -1, 0.1322)]), (-488, [(-488, 0, 0)]), (-499, [(-499, 6, 4.701)]), (-511, [(-511, -2, 0.5161)]), (-515, [(-515, 2, 0.5141)]), (-520, [(-520, -2, 0.5116)]), (-532, [(-532, -2, 0.5058)]), (-543, [(-543, -1, 0.1252)]), (-548, [(-548, 1, 0.1246)]), (-551, [(-551, 2, 0.4970)]), (-555, [(-555, -7, 6.067)]), (-559, [(-559, 2, 0.4935)]), (-564, [(-564, -4, 1.965)]), (-583, [(-583, -2, 0.9664)]), (-584, [(-584, 2, 0.4828)]), (-587, [(-587, 4, 1.926)]), (-595, [(-595, 8, 7.653)]), (-599, [(-599, 0, 0)]), (-616, [(-616, -2, 0.9402)]), (-619, [(-619, -5, 2.931)]), (-627, [(-627, 4, 3.728)]), (-628, [(-628, -3, 1.048)]), (-631, [(-631, 1, 0.1161)]), (-632, [(-632, -4, 1.856)]), (-643, [(-643, 1, 0.1150)]), (-647, [(-647, 1, 0.1147)]), (-660, [(-660, 3, 2.044)]), (-663, [(-663, 2, 0.4531)]), (-664, [(-664, 0, 0)]), (-671, [(-671, 0, 0)]), (-680, [(-680, -6, 4.027)]), (-683, [(-683, 0, 0)]), (-687, [(-687, -1, 0.1113)]), (-691, [(-691, -5, 2.774)]), (-696, [(-696, 4, 1.769)]), (-707, [(-707, 2, 0.4388)]), (-708, [(-708, 3, 0.9866)]), (-715, [(-715, 4, 3.491)]), (-719, [(-719, -3, 0.9790)]), (-724, [(-724, -5, 2.710)]), (-727, [(-727, 1, 0.1082)]), (-731, [(-731, 4, 1.726)]), (-740, [(-740, -3, 0.9650)]), (-751, [(-751, -5, 2.661)]), (-759, [(-759, -1, 0.2117)]), (-760, [(-760, -2, 0.4232)]), (-763, [(-763, -2, 0.4224)]), (-771, [(-771, -8, 6.723)]), (-779, [(-779, 0, 0)]), (-795, [(-795, -2, 0.4138)]), (-803, [(-803, 0, 0)]), (-804, [(-804, -1, 0.1029)]), (-807, [(-807, -2, 0.4107)]), (-808, [(-808, 2, 0.4104)]), (-815, [(-815, 0, 0)]), (-823, [(-823, 3, 0.9151)]), (-836, [(-836, 0, 0)]), (-839, [(-839, 1, 0.1007)]), (-840, [(-840, 6, 3.623)]), (-851, [(-851, -5, 2.500)]), (-852, [(-852, 1, 0.09993)]), (-856, [(-856, 2, 0.3988)]), (-859, [(-859, -1, 0.09952)]), (-863, [(-863, 2, 0.3972)]), (-872, [(-872, 0, 0)]), (-883, [(-883, -4, 1.571)]), (-884, [(-884, 2, 0.3924)]), (-895, [(-895, -3, 0.8775)]), (-903, [(-903, 2, 0.3883)]), (-907, [(-907, 6, 3.487)]), (-911, [(-911, 2, 0.3866)]), (-916, [(-916, 5, 2.409)]), (-935, [(-935, -2, 0.7631)]), (-939, [(-939, 1, 0.09519)]), (-947, [(-947, -5, 2.370)]), (-951, [(-951, -3, 0.8512)]), (-955, [(-955, 3, 0.8495)]), (-971, [(-971, 5, 2.340)]), (-979, [(-979, 3, 1.678)]), (-983, [(-983, -1, 0.09303)]), (-984, [(-984, -6, 3.347)]), (-991, [(-991, 4, 1.482)]), (-995, [(-995, 6, 3.329)]), (-1012, [(-1012, -1, 0.1834)]), (-1015, [(-1015, 2, 0.3662)]), (-1016, [(-1016, 2, 0.3660)]), (-1023, [(-1023, 1, 0.1824)]), (-1027, [(-1027, -2, 0.3641)]), (-1028, [(-1028, 2, 0.3639)]), (-1032, [(-1032, -4, 1.453)]), (-1039, [(-1039, 1, 0.09049)]), (-1043, [(-1043, -4, 1.445)]), (-1048, [(-1048, 2, 0.3604)]), (-1059, [(-1059, 7, 4.392)]), (-1060, [(-1060, -4, 1.433)]), (-1067, [(-1067, -3, 1.607)]), (-1076, [(-1076, 4, 1.423)]), (-1079, [(-1079, -2, 0.3552)]), (-1087, [(-1087, -2, 0.3539)]), (-1092, [(-1092, -4, 1.412)]), (-1103, [(-1103, 1, 0.08782)]), (-1111, [(-1111, 2, 0.7001)]), (-1112, [(-1112, -2, 0.3499)]), (-1115, [(-1115, 5, 2.184)]), (-1123, [(-1123, 0, 0)]), (-1131, [(-1131, 6, 3.122)]), (-1144, [(-1144, 2, 0.6899)]), (-1147, [(-1147, -3, 0.7751)]), (-1155, [(-1155, -2, 0.6866)]), (-1159, [(-1159, 2, 0.3427)]), (-1160, [(-1160, 0, 0)]), (-1167, [(-1167, -1, 0.08538)]), (-1171, [(-1171, -11, 10.31)]), (-1191, [(-1191, -2, 0.3381)]), (-1192, [(-1192, 2, 0.3379)]), (-1199, [(-1199, -2, 0.6739)]), (-1203, [(-1203, 2, 0.3364)]), (-1204, [(-1204, 6, 3.026)]), (-1208, [(-1208, 4, 1.343)]), (-1211, [(-1211, -2, 0.3353)]), (-1219, [(-1219, -8, 5.347)]), (-1235, [(-1235, -6, 2.988)]), (-1236, [(-1236, -6, 2.987)]), (-1243, [(-1243, -1, 0.1655)]), (-1247, [(-1247, 2, 0.3304)]), (-1252, [(-1252, 1, 0.08243)]), (-1255, [(-1255, -1, 0.08233)]), (-1259, [(-1259, -5, 2.055)]), (-1263, [(-1263, 0, 0)]), (-1268, [(-1268, -5, 2.048)]), (-1279, [(-1279, 1, 0.08156)]), (-1288, [(-1288, 6, 2.926)]), (-1291, [(-1291, 8, 5.195)]), (-1299, [(-1299, 11, 9.792)]), (-1303, [(-1303, -3, 0.7272)]), (-1307, [(-1307, 2, 0.3227)]), (-1320, [(-1320, -2, 0.6423)]), (-1335, [(-1335, 1, 0.07983)]), (-1336, [(-1336, -6, 2.873)]), (-1343, [(-1343, -2, 0.3184)]), (-1347, [(-1347, -3, 0.7152)]), (-1351, [(-1351, -2, 0.3174)]), (-1364, [(-1364, 3, 1.422)]), (-1367, [(-1367, 0, 0)]), (-1379, [(-1379, -8, 5.027)]), (-1380, [(-1380, 1, 0.07852)]), (-1384, [(-1384, 0, 0)]), (-1387, [(-1387, 8, 5.012)]), (-1391, [(-1391, -2, 0.3128)]), (-1411, [(-1411, 8, 4.970)]), (-1412, [(-1412, -3, 0.6986)]), (-1419, [(-1419, 2, 0.6194)]), (-1423, [(-1423, 3, 0.6959)]), (-1428, [(-1428, -4, 1.235)]), (-1435, [(-1435, -2, 0.3080)]), (-1439, [(-1439, -2, 0.3076)]), (-1455, [(-1455, 1, 0.07647)]), (-1463, [(-1463, 2, 0.6101)]), (-1464, [(-1464, 4, 1.220)]), (-1479, [(-1479, 6, 2.730)]), (-1483, [(-1483, 9, 6.135)]), (-1496, [(-1496, -2, 0.6033)]), (-1499, [(-1499, 1, 0.07534)]), (-1507, [(-1507, -1, 0.1503)]), (-1508, [(-1508, 2, 0.3004)]), (-1511, [(-1511, 3, 0.6753)]), (-1523, [(-1523, -1, 0.07474)]), (-1527, [(-1527, 3, 0.6718)]), (-1540, [(-1540, -2, 0.5946)]), (-1543, [(-1543, -2, 0.2970)]), (-1544, [(-1544, 0, 0)]), (-1551, [(-1551, 2, 0.5925)]), (-1555, [(-1555, -2, 0.2959)]), (-1556, [(-1556, -1, 0.07394)]), (-1560, [(-1560, 2, 0.2954)]), (-1563, [(-1563, -3, 0.6640)]), (-1567, [(-1567, 0, 0)]), (-1571, [(-1571, 4, 1.177)]), (-1576, [(-1576, 0, 0)]), (-1588, [(-1588, 2, 0.2928)]), (-1595, [(-1595, -4, 2.337)]), (-1599, [(-1599, 2, 0.2918)]), (-1604, [(-1604, 0, 0)]), (-1607, [(-1607, -1, 0.07276)]), (-1615, [(-1615, -2, 0.2903)]), (-1631, [(-1631, -2, 0.2889)]), (-1639, [(-1639, 2, 0.5764)]), (-1640, [(-1640, 2, 0.2881)]), (-1643, [(-1643, 0, 0)]), (-1651, [(-1651, -4, 1.149)]), (-1655, [(-1655, 3, 0.6453)]), (-1659, [(-1659, -4, 1.146)]), (-1672, [(-1672, -2, 0.5707)]), (-1684, [(-1684, 0, 0)]), (-1687, [(-1687, -4, 1.136)]), (-1688, [(-1688, 0, 0)]), (-1695, [(-1695, -5, 1.771)]), (-1699, [(-1699, 2, 0.2831)]), (-1703, [(-1703, -4, 1.131)]), (-1716, [(-1716, -4, 2.253)]), (-1720, [(-1720, 4, 1.125)]), (-1727, [(-1727, 1, 0.1404)]), (-1731, [(-1731, -9, 5.679)]), (-1732, [(-1732, -1, 0.07009)]), (-1736, [(-1736, -2, 0.2800)]), (-1739, [(-1739, 0, 0)]), (-1743, [(-1743, -2, 0.2795)]), (-1747, [(-1747, 5, 1.745)]), (-1752, [(-1752, 6, 2.509)]), (-1763, [(-1763, 4, 1.111)]), (-1771, [(-1771, -2, 0.5545)]), (-1780, [(-1780, 11, 8.365)]), (-1783, [(-1783, -1, 0.06908)]), (-1787, [(-1787, -1, 0.06900)]), (-1796, [(-1796, 5, 1.721)]), (-1807, [(-1807, 4, 1.098)]), (-1816, [(-1816, -2, 0.2738)]), (-1819, [(-1819, -10, 6.839)]), (-1831, [(-1831, 3, 0.6135)]), (-1835, [(-1835, 5, 1.702)]), (-1848, [(-1848, -2, 0.5428)]), (-1851, [(-1851, -2, 0.2712)]), (-1860, [(-1860, 7, 3.314)]), (-1864, [(-1864, -4, 1.081)]), (-1871, [(-1871, 5, 1.686)]), (-1879, [(-1879, -1, 0.06729)]), (-1892, [(-1892, 2, 0.5365)]), (-1895, [(-1895, 1, 0.06700)]), (-1896, [(-1896, 0, 0)]), (-1903, [(-1903, 2, 0.5349)]), (-1907, [(-1907, -4, 1.069)]), (-1912, [(-1912, -4, 1.067)]), (-1915, [(-1915, -13, 11.26)]), (-1919, [(-1919, -2, 0.2663)]), (-1923, [(-1923, -5, 1.663)]), (-1928, [(-1928, 0, 0)]), (-1939, [(-1939, 6, 2.385)]), (-1940, [(-1940, -5, 1.656)]), (-1947, [(-1947, -7, 6.478)]), (-1951, [(-1951, 1, 0.06604)]), (-1956, [(-1956, 0, 0)]), (-1959, [(-1959, -1, 0.06590)]), (-1963, [(-1963, 2, 0.2633)]), (-1967, [(-1967, 2, 0.2631)]), (-1972, [(-1972, -6, 2.365)]), (-1983, [(-1983, -3, 0.5895)]), (-1991, [(-1991, 1, 0.1307)]), (-1992, [(-1992, -4, 1.046)]), (-1995, [(-1995, 6, 2.351)]), (-2003, [(-2003, 8, 4.171)]), (-2011, [(-2011, 9, 5.268)]), (-2024, [(-2024, -2, 0.5187)]), (-2027, [(-2027, -3, 0.5831)]), (-2035, [(-2035, 3, 1.164)]), (-2036, [(-2036, -5, 1.616)]), (-2039, [(-2039, 0, 0)]), (-2040, [(-2040, 2, 0.2583)]), (-2047, [(-2047, 1, 0.06447)]), (-2051, [(-2051, 6, 2.319)]), (-2055, [(-2055, 1, 0.06434)]), (-2068, [(-2068, 2, 0.5131)]), (-2071, [(-2071, 0, 0)]), (-2072, [(-2072, 2, 0.2563)]), (-2083, [(-2083, 9, 5.177)]), (-2084, [(-2084, -1, 0.06389)]), (-2091, [(-2091, 4, 1.021)]), (-2095, [(-2095, 2, 0.2549)]), (-2099, [(-2099, -7, 3.120)]), (-2104, [(-2104, -6, 2.289)]), (-2123, [(-2123, 4, 2.026)]), (-2127, [(-2127, 1, 0.06324)]), (-2132, [(-2132, -6, 2.274)]), (-2135, [(-2135, -2, 0.2525)]), (-2139, [(-2139, -9, 5.108)]), (-2143, [(-2143, 1, 0.06301)]), (-2148, [(-2148, -1, 0.06293)]), (-2159, [(-2159, 0, 0)]), (-2167, [(-2167, -2, 0.5013)]), (-2168, [(-2168, -2, 0.2506)]), (-2171, [(-2171, 8, 4.006)]), (-2179, [(-2179, -1, 0.06249)]), (-2183, [(-2183, -1, 0.06243)]), (-2203, [(-2203, -5, 1.554)]), (-2211, [(-2211, 1, 0.1241)]), (-2212, [(-2212, -4, 0.9923)]), (-2215, [(-2215, -1, 0.06198)]), (-2216, [(-2216, 4, 0.9914)]), (-2227, [(-2227, -8, 3.956)]), (-2231, [(-2231, 1, 0.06175)]), (-2244, [(-2244, 6, 4.433)]), (-2247, [(-2247, 0, 0)]), (-2248, [(-2248, -4, 0.9843)]), (-2255, [(-2255, 0, 0)]), (-2260, [(-2260, -1, 0.06136)]), (-2264, [(-2264, 0, 0)]), (-2267, [(-2267, 7, 3.002)]), (-2271, [(-2271, -2, 0.2448)]), (-2280, [(-2280, 2, 0.2443)]), (-2291, [(-2291, -4, 0.9750)]), (-2292, [(-2292, 7, 2.985)]), (-2308, [(-2308, 1, 0.06071)]), (-2311, [(-2311, 3, 0.5461)]), (-2315, [(-2315, -9, 4.910)]), (-2319, [(-2319, 0, 0)]), (-2324, [(-2324, 6, 2.178)]), (-2335, [(-2335, 3, 0.5433)]), (-2343, [(-2343, -3, 1.085)]), (-2344, [(-2344, 6, 2.169)]), (-2347, [(-2347, -5, 1.505)]), (-2355, [(-2355, -1, 0.06011)]), (-2359, [(-2359, -4, 0.9609)]), (-2363, [(-2363, -10, 6.000)]), (-2379, [(-2379, 2, 0.2392)]), (-2387, [(-2387, 2, 0.4776)]), (-2388, [(-2388, 4, 0.9550)]), (-2391, [(-2391, 3, 0.5368)]), (-2392, [(-2392, 6, 2.147)]), (-2399, [(-2399, 3, 0.5360)]), (-2407, [(-2407, 0, 0)]), (-2423, [(-2423, 1, 0.05926)]), (-2424, [(-2424, -6, 2.133)]), (-2431, [(-2431, -2, 0.4733)]), (-2435, [(-2435, 9, 4.788)]), (-2436, [(-2436, 2, 0.2364)]), (-2440, [(-2440, 4, 0.9448)]), (-2443, [(-2443, -8, 3.777)]), (-2447, [(-2447, -1, 0.05896)]), (-2451, [(-2451, -4, 0.9427)]), (-2456, [(-2456, -2, 0.2354)]), (-2467, [(-2467, 9, 4.757)]), (-2468, [(-2468, 4, 0.9394)]), (-2479, [(-2479, -7, 2.871)]), (-2487, [(-2487, 5, 1.462)]), (-2491, [(-2491, 4, 0.9351)]), (-2495, [(-2495, 2, 0.2336)]), (-2519, [(-2519, -1, 0.1162)]), (-2531, [(-2531, -1, 0.05798)]), (-2539, [(-2539, 2, 0.2315)]), (-2552, [(-2552, 0, 0)]), (-2555, [(-2555, -6, 2.077)]), (-2563, [(-2563, -4, 1.844)]), (-2564, [(-2564, -9, 4.666)]), (-2567, [(-2567, -2, 0.2303)]), (-2568, [(-2568, 2, 0.2302)]), (-2579, [(-2579, 2, 0.2297)]), (-2596, [(-2596, -5, 2.862)]), (-2599, [(-2599, 5, 1.430)]), (-2607, [(-2607, -2, 0.4570)]), (-2611, [(-2611, 6, 2.055)]), (-2612, [(-2612, 3, 0.5136)]), (-2616, [(-2616, -4, 0.9124)]), (-2623, [(-2623, 4, 0.9112)]), (-2627, [(-2627, 9, 4.609)]), (-2632, [(-2632, -4, 0.9097)]), (-2643, [(-2643, 5, 1.418)]), (-2644, [(-2644, 1, 0.05673)]), (-2651, [(-2651, -4, 1.813)]), (-2660, [(-2660, -2, 0.2262)]), (-2663, [(-2663, 1, 0.05652)]), (-2667, [(-2667, 6, 2.033)]), (-2671, [(-2671, -4, 0.9030)]), (-2676, [(-2676, -1, 0.05639)]), (-2687, [(-2687, -3, 0.5064)]), (-2696, [(-2696, -2, 0.2247)]), (-2699, [(-2699, 5, 1.404)]), (-2707, [(-2707, -1, 0.05606)]), (-2711, [(-2711, 1, 0.05602)]), (-2715, [(-2715, 1, 0.05598)]), (-2728, [(-2728, 2, 0.4468)]), (-2731, [(-2731, 2, 0.2233)]), (-2739, [(-2739, 6, 4.013)]), (-2740, [(-2740, -1, 0.05572)]), (-2743, [(-2743, 0, 0)]), (-2751, [(-2751, 0, 0)]), (-2755, [(-2755, 6, 2.001)]), (-2759, [(-2759, 3, 0.4998)]), (-2776, [(-2776, 10, 5.536)]), (-2787, [(-2787, -8, 3.536)]), (-2788, [(-2788, -4, 0.8839)]), (-2792, [(-2792, 2, 0.2208)]), (-2795, [(-2795, -6, 1.986)]), (-2803, [(-2803, -2, 0.2204)]), (-2819, [(-2819, -3, 0.4944)]), (-2820, [(-2820, -2, 0.2197)]), (-2827, [(-2827, -2, 0.4389)]), (-2831, [(-2831, -4, 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0.8623)]), (-7159, [(-7159, 5, 0.8618)]), (-7172, [(-7172, -4, 1.102)]), (-7176, [(-7176, -6, 1.240)]), (-7183, [(-7183, -3, 0.6195)]), (-7187, [(-7187, 5, 0.8601)]), (-7188, [(-7188, 8, 2.202)]), (-7192, [(-7192, 0, 0)]), (-7195, [(-7195, 2, 0.1375)]), (-7199, [(-7199, 3, 0.3094)]), (-7208, [(-7208, 4, 0.5497)]), (-7219, [(-7219, 15, 7.724)]), (-7231, [(-7231, 8, 2.195)]), (-7239, [(-7239, 6, 1.234)]), (-7243, [(-7243, 11, 4.147)]), (-7247, [(-7247, -1, 0.03426)]), (-7271, [(-7271, 1, 0.06841)]), (-7283, [(-7283, 5, 0.8544)]), (-7287, [(-7287, 2, 0.1367)]), (-7291, [(-7291, -1, 0.03416)]), (-7304, [(-7304, -4, 1.092)]), (-7307, [(-7307, 5, 0.8531)]), (-7315, [(-7315, -14, 13.37)]), (-7316, [(-7316, 5, 0.8525)]), (-7319, [(-7319, 6, 1.227)]), (-7320, [(-7320, 8, 2.182)]), (-7327, [(-7327, -2, 0.1363)]), (-7331, [(-7331, -14, 6.677)]), (-7348, [(-7348, 4, 1.089)]), (-7351, [(-7351, 6, 1.225)]), (-7352, [(-7352, -4, 0.5443)]), (-7359, [(-7359, -3, 0.6120)]), (-7363, [(-7363, 0, 0)]), (-7364, [(-7364, 0, 0)]), (-7368, [(-7368, 2, 0.1359)]), (-7379, [(-7379, -4, 0.5433)]), (-7384, [(-7384, 6, 1.222)]), (-7395, [(-7395, 2, 0.1357)]), (-7403, [(-7403, 2, 0.2712)]), (-7412, [(-7412, 2, 0.1355)]), (-7415, [(-7415, 1, 0.03387)]), (-7419, [(-7419, -7, 1.659)]), (-7423, [(-7423, 0, 0)]), (-7428, [(-7428, 5, 0.8461)]), (-7439, [(-7439, 2, 0.1353)]), (-7447, [(-7447, 2, 0.2704)]), (-7451, [(-7451, 0, 0)]), (-7459, [(-7459, 5, 0.8443)]), (-7463, [(-7463, 2, 0.1351)]), (-7467, [(-7467, 0, 0)]), (-7480, [(-7480, 6, 2.428)]), (-7483, [(-7483, 10, 3.372)]), (-7491, [(-7491, 6, 2.426)]), (-7492, [(-7492, 14, 6.605)]), (-7495, [(-7495, 1, 0.03369)]), (-7496, [(-7496, 2, 0.1348)]), (-7503, [(-7503, 0, 0)]), (-7507, [(-7507, -3, 0.3030)]), (-7511, [(-7511, 2, 0.1346)]), (-7527, [(-7527, 0, 0)]), (-7528, [(-7528, -4, 0.5379)]), (-7535, [(-7535, 1, 0.06720)]), (-7539, [(-7539, -4, 0.5375)]), (-7540, [(-7540, 2, 0.1344)]), (-7544, [(-7544, -2, 0.1343)]), (-7547, [(-7547, 5, 0.8394)]), (-7555, [(-7555, -11, 4.060)]), (-7571, [(-7571, 1, 0.03352)]), (-7572, [(-7572, -5, 0.8380)]), (-7579, [(-7579, -4, 1.072)]), (-7583, [(-7583, -4, 0.5359)]), (-7588, [(-7588, -8, 2.143)]), (-7591, [(-7591, -5, 0.8369)]), (-7599, [(-7599, -6, 1.205)]), (-7604, [(-7604, -1, 0.03345)]), (-7615, [(-7615, -5, 0.8356)]), (-7624, [(-7624, 10, 3.341)]), (-7627, [(-7627, 10, 3.340)]), (-7635, [(-7635, -5, 0.8345)]), (-7639, [(-7639, -3, 0.3004)]), (-7643, [(-7643, 3, 0.3003)]), (-7656, [(-7656, 8, 4.267)]), (-7667, [(-7667, 0, 0)]), (-7671, [(-7671, -7, 1.632)]), (-7672, [(-7672, 2, 0.1332)]), (-7679, [(-7679, 2, 0.1331)]), (-7683, [(-7683, 4, 0.5324)]), (-7687, [(-7687, 3, 0.2994)]), (-7703, [(-7703, -3, 0.2991)]), (-7711, [(-7711, -6, 2.392)]), (-7715, [(-7715, -4, 0.5313)]), (-7716, [(-7716, 1, 0.03321)]), (-7720, [(-7720, 0, 0)]), (-7723, [(-7723, 3, 0.2987)]), (-7727, [(-7727, -3, 0.2986)]), (-7736, [(-7736, 4, 0.5306)]), (-7747, [(-7747, 2, 0.1326)]), (-7748, [(-7748, -4, 0.5302)]), (-7755, [(-7755, -4, 1.060)]), (-7759, [(-7759, 3, 0.2980)]), (-7764, [(-7764, 13, 5.594)]), (-7771, [(-7771, -14, 6.485)]), (-7780, [(-7780, -3, 0.2976)]), (-7799, [(-7799, 1, 0.06606)]), (-7811, [(-7811, 4, 0.5280)]), (-7815, [(-7815, -1, 0.03299)]), (-7819, [(-7819, -8, 2.111)]), (-7832, [(-7832, 2, 0.2637)]), (-7835, [(-7835, -10, 3.295)]), (-7843, [(-7843, -9, 5.336)]), (-7844, [(-7844, -6, 1.186)]), (-7847, [(-7847, 2, 0.1317)]), (-7855, [(-7855, 8, 2.106)]), (-7859, [(-7859, -2, 0.1316)]), (-7863, [(-7863, -2, 0.1316)]), (-7876, [(-7876, 5, 1.643)]), (-7879, [(-7879, 3, 0.2957)]), (-7880, [(-7880, 4, 0.5257)]), (-7887, [(-7887, 2, 0.2627)]), (-7891, [(-7891, -16, 8.406)]), (-7892, [(-7892, -1, 0.03283)]), (-7896, [(-7896, 4, 0.5252)]), (-7899, [(-7899, -1, 0.03282)]), (-7903, [(-7903, -2, 0.1312)]), (-7907, [(-7907, -3, 0.2952)]), (-7912, [(-7912, 4, 0.5247)]), (-7923, [(-7923, 2, 0.1311)]), (-7924, [(-7924, 0, 0)]), (-7931, [(-7931, 4, 1.048)]), (-7940, [(-7940, 0, 0)]), (-7951, [(-7951, 2, 0.1308)]), (-7967, [(-7967, -2, 0.1307)]), (-7976, [(-7976, -2, 0.1306)]), (-7979, [(-7979, 8, 2.090)]), (-7991, [(-7991, 0, 0)]), (-7995, [(-7995, 22, 15.79)]), (-8008, [(-8008, -4, 1.043)]), (-8011, [(-8011, -5, 0.8147)]), (-8020, [(-8020, 4, 0.5211)]), (-8023, [(-8023, -1, 0.03256)]), (-8024, [(-8024, 6, 1.172)]), (-8031, [(-8031, -5, 0.8137)]), (-8035, [(-8035, 13, 5.499)]), (-8039, [(-8039, 1, 0.03253)]), (-8052, [(-8052, -4, 1.040)]), (-8056, [(-8056, 12, 4.680)]), (-8063, [(-8063, -4, 1.039)]), (-8067, [(-8067, 5, 0.8119)]), (-8068, [(-8068, -1, 0.03247)]), (-8072, [(-8072, -4, 0.5194)]), (-8079, [(-8079, 5, 0.8113)]), (-8083, [(-8083, -13, 5.483)]), (-8088, [(-8088, -2, 0.1297)]), (-8099, [(-8099, -4, 0.5186)]), (-8111, [(-8111, 2, 0.1295)]), (-8116, [(-8116, 3, 0.2914)]), (-8119, [(-8119, -1, 0.03237)]), (-8123, [(-8123, 2, 0.1295)]), (-8132, [(-8132, -4, 0.5175)]), (-8143, [(-8143, 4, 0.5172)]), (-8151, [(-8151, -2, 0.2585)]), (-8152, [(-8152, -4, 0.5169)]), (-8155, [(-8155, 14, 6.331)]), (-8167, [(-8167, 1, 0.03228)]), (-8171, [(-8171, 12, 4.647)]), (-8184, [(-8184, 2, 0.2579)]), (-8187, [(-8187, -22, 15.60)]), (-8195, [(-8195, 2, 0.2578)]), (-8196, [(-8196, -8, 2.062)]), (-8207, [(-8207, 2, 0.1288)]), (-8211, [(-8211, -12, 4.635)]), (-8215, [(-8215, 2, 0.1287)]), (-8231, [(-8231, -1, 0.03215)]), (-8239, [(-8239, 4, 1.028)]), (-8243, [(-8243, -3, 0.2891)]), (-8248, [(-8248, -6, 1.156)]), (-8251, [(-8251, -5, 0.8028)]), (-8255, [(-8255, -4, 0.5136)]), (-8259, [(-8259, -5, 0.8024)]), (-8264, [(-8264, 2, 0.1283)]), (-8276, [(-8276, 6, 1.154)]), (-8283, [(-8283, 1, 0.06410)]), (-8287, [(-8287, 0, 0)]), (-8292, [(-8292, -5, 0.8008)]), (-8295, [(-8295, 8, 2.050)]), (-8299, [(-8299, 22, 15.50)]), (-8308, [(-8308, -3, 0.2880)]), (-8319, [(-8319, 0, 0)]), (-8327, [(-8327, 2, 0.2557)]), (-8328, [(-8328, -2, 0.1278)]), (-8331, [(-8331, 6, 1.150)]), (-8339, [(-8339, 2, 0.1278)]), (-8347, [(-8347, -6, 1.149)]), (-8360, [(-8360, -2, 0.2552)]), (-8363, [(-8363, 0, 0)]), (-8371, [(-8371, 12, 9.181)]), (-8372, [(-8372, 0, 0)]), (-8376, [(-8376, -14, 6.247)]), (-8383, [(-8383, 2, 0.1274)]), (-8387, [(-8387, -8, 2.038)]), (-8391, [(-8391, 2, 0.1274)]), (-8404, [(-8404, 5, 1.591)]), (-8407, [(-8407, 2, 0.1272)]), (-8408, [(-8408, 2, 0.1272)]), (-8419, [(-8419, -12, 4.578)]), (-8420, [(-8420, -4, 0.5086)]), (-8431, [(-8431, 3, 0.2859)]), (-8435, [(-8435, -4, 0.5081)]), (-8440, [(-8440, -4, 0.5080)]), (-8452, [(-8452, 2, 0.1269)]), (-8459, [(-8459, 12, 9.133)]), (-8463, [(-8463, -4, 0.5073)]), (-8468, [(-8468, 2, 0.1268)]), (-8471, [(-8471, 0, 0)]), (-8479, [(-8479, 0, 0)]), (-8484, [(-8484, 10, 3.167)]), (-8495, [(-8495, -2, 0.1266)]), (-8503, [(-8503, -2, 0.2531)]), (-8504, [(-8504, 0, 0)]), (-8507, [(-8507, 6, 1.138)]), (-8515, [(-8515, 12, 4.552)]), (-8519, [(-8519, 0, 0)]), (-8536, [(-8536, 2, 0.2526)]), (-8539, [(-8539, -1, 0.03156)]), (-8547, [(-8547, 6, 2.272)]), (-8548, [(-8548, -3, 0.2839)]), (-8551, [(-8551, -10, 3.154)]), (-8552, [(-8552, 4, 0.5046)]), (-8563, [(-8563, 8, 2.017)]), (-8567, [(-8567, -2, 0.1261)]), (-8580, [(-8580, -8, 4.031)]), (-8583, [(-8583, 5, 0.7871)]), (-8584, [(-8584, -4, 0.5037)]), (-8596, [(-8596, -4, 0.5034)]), (-8603, [(-8603, -2, 0.1258)]), (-8607, [(-8607, 0, 0)]), (-8611, [(-8611, -2, 0.1257)]), (-8616, [(-8616, -10, 3.142)]), (-8627, [(-8627, -3, 0.2826)]), (-8628, [(-8628, 3, 0.2826)]), (-8635, [(-8635, 1, 0.06278)]), (-8639, [(-8639, -4, 0.5021)]), (-8644, [(-8644, -13, 5.302)]), (-8647, [(-8647, -3, 0.2823)]), (-8651, [(-8651, -4, 0.5017)]), (-8655, [(-8655, 3, 0.2822)]), (-8660, [(-8660, 1, 0.03134)]), (-8671, [(-8671, -2, 0.1253)]), (-8679, [(-8679, -2, 0.2505)]), (-8680, [(-8680, 2, 0.1252)]), (-8683, [(-8683, 2, 0.1252)]), (-8691, [(-8691, 2, 0.1252)]), (-8695, [(-8695, 2, 0.1251)]), (-8699, [(-8699, -5, 0.7818)]), (-8715, [(-8715, 2, 0.1250)]), (-8723, [(-8723, -2, 0.2498)]), (-8724, [(-8724, -13, 5.278)]), (-8727, [(-8727, -5, 0.7806)]), (-8728, [(-8728, 4, 0.4995)]), (-8735, [(-8735, 7, 1.529)]), (-8743, [(-8743, 2, 0.1248)]), (-8756, [(-8756, 0, 0)]), (-8759, [(-8759, -4, 0.4986)]), (-8760, [(-8760, -2, 0.1247)]), (-8767, [(-8767, 1, 0.06230)]), (-8772, [(-8772, -12, 4.484)]), (-8776, [(-8776, 4, 0.4982)]), (-8779, [(-8779, 5, 0.7783)]), (-8783, [(-8783, 1, 0.03112)]), (-8787, [(-8787, 4, 0.4979)]), (-8792, [(-8792, 2, 0.1244)]), (-8803, [(-8803, -12, 4.477)]), (-8804, [(-8804, 3, 0.2798)]), (-8815, [(-8815, -4, 0.4971)]), (-8823, [(-8823, 0, 0)]), (-8827, [(-8827, 4, 0.4967)]), (-8831, [(-8831, 3, 0.2793)]), (-8855, [(-8855, -2, 0.2480)]), (-8859, [(-8859, -18, 10.04)]), (-8867, [(-8867, -11, 3.748)]), (-8871, [(-8871, -3, 0.2787)]), (-8888, [(-8888, 2, 0.2475)]), (-8891, [(-8891, -16, 7.919)]), (-8899, [(-8899, 4, 0.9894)]), (-8903, [(-8903, 0, 0)]), (-8904, [(-8904, 0, 0)]), (-8911, [(-8911, -2, 0.1236)]), (-8915, [(-8915, 9, 2.502)]), (-8932, [(-8932, 6, 2.222)]), (-8935, [(-8935, -3, 0.2777)]), (-8936, [(-8936, -2, 0.1234)]), (-8943, [(-8943, 0, 0)]), (-8947, [(-8947, -5, 0.7709)]), (-8948, [(-8948, 0, 0)]), (-8952, [(-8952, 6, 1.110)]), (-8963, [(-8963, 3, 0.2773)]), (-8968, [(-8968, 2, 0.1232)]), (-8979, [(-8979, 18, 9.973)]), (-8980, [(-8980, 9, 2.493)]), (-8987, [(-8987, -8, 3.938)]), (-8996, [(-8996, 10, 3.075)]), (-8999, [(-8999, 3, 0.2767)]), (-9003, [(-9003, -1, 0.03074)]), (-9007, [(-9007, 5, 0.7683)]), (-9012, [(-9012, 7, 1.506)]), (-9023, [(-9023, 0, 0)]), (-9031, [(-9031, -6, 2.210)]), (-9032, [(-9032, 6, 1.105)]), (-9035, [(-9035, 0, 0)]), (-9043, [(-9043, -10, 3.067)]), (-9047, [(-9047, -4, 0.4907)]), (-9051, [(-9051, -10, 3.066)]), (-9064, [(-9064, -4, 0.9804)]), (-9067, [(-9067, 3, 0.2757)]), (-9076, [(-9076, 5, 0.7654)]), (-9079, [(-9079, 4, 0.4898)]), (-9080, [(-9080, 6, 1.102)]), (-9087, [(-9087, 4, 0.4896)]), (-9091, [(-9091, 7, 1.499)]), (-9095, [(-9095, 2, 0.1223)]), (-9111, [(-9111, 3, 0.2750)]), (-9112, [(-9112, -2, 0.1222)]), (-9119, [(-9119, -1, 0.06109)]), (-9123, [(-9123, 16, 7.818)]), (-9124, [(-9124, 5, 0.7634)]), (-9128, [(-9128, 0, 0)]), (-9131, [(-9131, -10, 3.052)]), (-9139, [(-9139, -6, 1.098)]), (-9155, [(-9155, -3, 0.2744)]), (-9156, [(-9156, 14, 5.975)]), (-9167, [(-9167, -2, 0.1219)]), (-9172, [(-9172, -7, 1.492)]), (-9179, [(-9179, 11, 3.684)]), (-9183, [(-9183, 5, 0.7609)]), (-9188, [(-9188, -5, 0.7607)]), (-9199, [(-9199, -8, 1.946)]), (-9208, [(-9208, -8, 1.945)]), (-9211, [(-9211, -4, 0.4863)]), (-9219, [(-9219, 2, 0.1215)]), (-9223, [(-9223, -2, 0.1215)]), (-9227, [(-9227, 0, 0)]), (-9240, [(-9240, 2, 0.2427)]), (-9255, [(-9255, 4, 0.4851)]), (-9256, [(-9256, 6, 1.091)]), (-9263, [(-9263, -1, 0.03031)]), (-9267, [(-9267, 9, 2.454)]), (-9271, [(-9271, 0, 0)]), (-9284, [(-9284, 0, 0)]), (-9287, [(-9287, 1, 0.03027)]), (-9299, [(-9299, -10, 3.025)]), (-9304, [(-9304, -6, 1.089)]), (-9307, [(-9307, -10, 3.023)]), (-9311, [(-9311, -1, 0.03023)]), (-9320, [(-9320, 0, 0)]), (-9331, [(-9331, 10, 3.020)]), (-9332, [(-9332, 3, 0.2717)]), (-9339, [(-9339, 0, 0)]), (-9343, [(-9343, -3, 0.2716)]), (-9348, [(-9348, 4, 0.4827)]), (-9355, [(-9355, -1, 0.03016)]), (-9364, [(-9364, 5, 0.7535)]), (-9383, [(-9383, 2, 0.2409)]), (-9384, [(-9384, -2, 0.1204)]), (-9395, [(-9395, -7, 1.475)]), (-9399, [(-9399, 2, 0.1203)]), (-9403, [(-9403, -3, 0.2707)]), (-9416, [(-9416, 6, 2.164)]), (-9419, [(-9419, 10, 3.005)]), (-9427, [(-9427, 4, 0.9613)]), (-9428, [(-9428, -1, 0.03004)]), (-9431, [(-9431, 2, 0.1201)]), (-9439, [(-9439, -5, 0.7505)]), (-9443, [(-9443, -10, 3.002)]), (-9447, [(-9447, -2, 0.1200)]), (-9460, [(-9460, 2, 0.2399)]), (-9463, [(-9463, 0, 0)]), (-9471, [(-9471, 2, 0.2398)]), (-9476, [(-9476, 4, 0.4794)]), (-9480, [(-9480, -12, 4.314)]), (-9483, [(-9483, 2, 0.1198)]), (-9487, [(-9487, -4, 0.4791)]), (-9491, [(-9491, -10, 2.994)]), (-9496, [(-9496, -6, 1.078)]), (-9507, [(-9507, 17, 8.645)]), (-9508, [(-9508, -3, 0.2692)]), (-9515, [(-9515, -2, 0.2392)]), (-9519, [(-9519, 2, 0.1196)]), (-9524, [(-9524, -4, 0.4782)]), (-9527, [(-9527, 2, 0.1195)]), (-9535, [(-9535, -2, 0.1195)]), (-9551, [(-9551, 3, 0.2686)]), (-9560, [(-9560, -4, 0.4773)]), (-9563, [(-9563, -4, 0.4772)]), (-9571, [(-9571, 10, 2.981)]), (-9579, [(-9579, 4, 0.4768)]), (-9592, [(-9592, 0, 0)]), (-9595, [(-9595, 2, 0.1191)]), (-9607, [(-9607, 4, 0.4761)]), (-9608, [(-9608, 10, 2.976)]), (-9615, [(-9615, -3, 0.2677)]), (-9619, [(-9619, -2, 0.1190)]), (-9623, [(-9623, -5, 0.7433)]), (-9636, [(-9636, 0, 0)]), (-9640, [(-9640, -8, 1.901)]), (-9647, [(-9647, -4, 0.9503)]), (-9651, [(-9651, 11, 3.593)]), (-9652, [(-9652, -2, 0.1188)]), (-9656, [(-9656, -6, 1.069)]), (-9659, [(-9659, 6, 1.068)]), (-9663, [(-9663, 3, 0.2670)]), (-9667, [(-9667, 4, 0.4747)]), (-9672, [(-9672, -2, 0.1186)]), (-9683, [(-9683, 6, 1.067)]), (-9691, [(-9691, -5, 1.481)]), (-9695, [(-9695, -6, 1.066)]), (-9703, [(-9703, 3, 0.2665)]), (-9707, [(-9707, 2, 0.1184)]), (-9716, [(-9716, 2, 0.1184)]), (-9727, [(-9727, 1, 0.02957)]), (-9735, [(-9735, -1, 0.05912)]), (-9736, [(-9736, 4, 0.4730)]), (-9739, [(-9739, 11, 3.576)]), (-9755, [(-9755, 5, 0.7383)]), (-9768, [(-9768, 2, 0.2361)]), (-9771, [(-9771, -8, 1.888)]), (-9779, [(-9779, -2, 0.2360)]), (-9780, [(-9780, -6, 1.062)]), (-9784, [(-9784, 6, 1.062)]), (-9791, [(-9791, -2, 0.1179)]), (-9795, [(-9795, 5, 0.7368)]), (-9799, [(-9799, 2, 0.1179)]), (-9812, [(-9812, -3, 0.5300)]), (-9815, [(-9815, 2, 0.1178)]), (-9816, [(-9816, 4, 0.4710)]), (-9823, [(-9823, 4, 0.9417)]), (-9827, [(-9827, 1, 0.02942)]), (-9832, [(-9832, 6, 1.059)]), (-9835, [(-9835, 2, 0.1176)]), (-9839, [(-9839, -3, 0.2646)]), (-9843, [(-9843, -6, 1.058)]), (-9848, [(-9848, 4, 0.4703)]), (-9859, [(-9859, 7, 1.439)]), (-9860, [(-9860, -6, 1.057)]), (-9867, [(-9867, -4, 0.9396)]), (-9871, [(-9871, -2, 0.1174)]), (-9876, [(-9876, -1, 0.02935)]), (-9879, [(-9879, 7, 1.438)]), (-9883, [(-9883, -11, 3.550)]), (-9887, [(-9887, 5, 0.7333)]), (-9892, [(-9892, -5, 0.7332)]), (-9903, [(-9903, -3, 0.2638)]), (-9911, [(-9911, -4, 0.9376)]), (-9912, [(-9912, -6, 1.055)]), (-9915, [(-9915, 13, 4.950)]), (-9923, [(-9923, 5, 0.7320)]), (-9931, [(-9931, 1, 0.02927)]), (-9944, [(-9944, 6, 2.106)]), (-9955, [(-9955, 1, 0.05847)]), (-9956, [(-9956, 8, 1.871)]), (-9959, [(-9959, 5, 0.7307)]), (-9960, [(-9960, 4, 0.4676)]), (-9967, [(-9967, 3, 0.2629)]), (-9988, [(-9988, -2, 0.2335)]), (-9991, [(-9991, 4, 0.4669)]), (-9992, [(-9992, 0, 0)])]]

# map: (1 |-> 1.0) -> 1, Fractional ideal (11) -> 1
[-23, 1/2 + 1/2*i + (-1/2)*j + (-1/2)*k, [(1, [(1, -1, 0.2538)]), (5, [(5, -5, 2.838)]), (12, [(12, 5, 1.832)]), (37, [(37, -5, 1.043)]), (53, [(53, -10, 3.486)]), (56, [(56, -10, 3.392)]), (60, [(60, -5, 0.8191)]), (69, [(69, 15, 6.875)]), (89, [(89, 5, 0.6726)]), (92, [(92, 5, 0.6615)]), (93, [(93, 5, 0.6579)]), (97, [(97, -5, 0.6442)]), (104, [(104, 10, 2.489)]), (113, [(113, -5, 0.5969)]), (124, [(124, -5, 0.5698)]), (133, [(133, -10, 2.201)]), (136, [(136, -10, 2.176)]), (137, [(137, -5, 0.5421)]), (141, [(141, 10, 2.137)]), (152, [(152, 10, 2.059)]), (157, [(157, -15, 4.557)]), (168, [(168, 10, 1.958)]), (177, [(177, -5, 0.4769)]), (181, [(181, -15, 4.245)]), (185, [(185, 5, 0.4665)]), (188, [(188, 10, 1.851)]), (201, [(201, 5, 0.4475)]), (213, [(213, -5, 0.4347)]), (221, [(221, 10, 1.707)]), (229, [(229, 5, 0.4193)]), (232, [(232, 0, 0)]), (236, [(236, -5, 0.4130)]), (257, [(257, -10, 1.583)]), (265, [(265, 0, 0)]), (268, [(268, 5, 0.3876)]), (269, [(269, 20, 6.190)]), (273, [(273, 0, 0)]), (280, [(280, -10, 1.517)]), (284, [(284, -15, 3.389)]), (301, [(301, 10, 1.463)]), (309, [(309, 20, 5.775)]), (312, [(312, 10, 1.437)]), (313, [(313, 5, 0.3586)]), (317, [(317, 5, 0.3564)]), (328, [(328, 10, 1.401)]), (344, [(344, 0, 0)]), (345, [(345, 5, 0.3416)]), (353, [(353, -5, 0.3377)]), (357, [(357, 20, 5.373)]), (364, [(364, 0, 0)]), (377, [(377, 10, 1.307)]), (389, [(389, 5, 0.3217)]), (397, [(397, -10, 1.274)]), (401, [(401, 0, 0)]), (408, [(408, -10, 1.256)]), (412, [(412, 10, 1.250)]), (421, [(421, 0, 0)]), (433, [(433, -5, 0.3049)]), (444, [(444, -15, 2.710)]), (445, [(445, -5, 0.3008)]), (449, [(449, -5, 0.2994)]), (456, [(456, 10, 1.189)]), (460, [(460, -5, 0.2958)]), (465, [(465, -15, 2.648)]), (476, [(476, 0, 0)]), (485, [(485, -25, 7.203)]), (488, [(488, 0, 0)]), (489, [(489, -10, 1.148)]), (493, [(493, 10, 1.143)]), (509, [(509, 5, 0.2812)]), (520, [(520, 10, 1.113)]), (521, [(521, 15, 2.502)]), (533, [(533, -10, 1.099)]), (537, [(537, -5, 0.2738)]), (553, [(553, 0, 0)]), (565, [(565, 15, 2.402)]), (573, [(573, 5, 0.2651)]), (577, [(577, -5, 0.2641)]), (581, [(581, 30, 9.477)]), (584, [(584, 10, 1.050)]), (597, [(597, -10, 1.039)]), (609, [(609, -10, 1.028)]), (617, [(617, 0, 0)]), (620, [(620, -5, 0.2548)]), (632, [(632, 0, 0)]), (636, [(636, 20, 4.026)]), (641, [(641, -5, 0.2506)]), (652, [(652, 0, 0)]), (653, [(653, -25, 6.207)]), (661, [(661, 15, 2.221)]), (664, [(664, 0, 0)]), (665, [(665, 10, 0.9842)]), (669, [(669, -25, 6.133)]), (680, [(680, -10, 0.9733)]), (685, [(685, 25, 6.061)]), (696, [(696, 0, 0)]), (697, [(697, 0, 0)]), (705, [(705, 0, 0)]), (709, [(709, 5, 0.2383)]), (713, [(713, 5, 0.2376)]), (716, [(716, -5, 0.2371)]), (741, [(741, -30, 8.391)]), (749, [(749, 0, 0)]), (753, [(753, 5, 0.2312)]), (757, [(757, -10, 0.9224)]), (760, [(760, 10, 0.9206)]), (764, [(764, -15, 2.066)]), (773, [(773, 10, 0.9128)]), (785, [(785, -5, 0.2265)]), (793, [(793, 10, 0.9013)]), (796, [(796, 20, 3.598)]), (797, [(797, -15, 2.023)]), (808, [(808, -10, 0.8929)]), (812, [(812, 10, 0.8907)]), (817, [(817, 0, 0)]), (829, [(829, 5, 0.2204)]), (840, [(840, 10, 0.8757)]), (856, [(856, -10, 0.8675)]), (861, [(861, 10, 0.8649)]), (872, [(872, -20, 3.438)]), (881, [(881, -15, 1.924)]), (885, [(885, 15, 1.920)]), (889, [(889, 10, 0.8512)]), (892, [(892, -5, 0.2124)]), (905, [(905, 5, 0.2109)]), (917, [(917, 20, 3.352)]), (929, [(929, 10, 0.8327)]), (933, [(933, 0, 0)]), (940, [(940, 20, 3.311)]), (949, [(949, -20, 3.295)]), (969, [(969, -10, 0.8153)]), (973, [(973, -20, 3.255)]), (977, [(977, -5, 0.2030)]), (984, [(984, 10, 0.8091)]), (988, [(988, -10, 0.8074)]), (993, [(993, -5, 0.2014)]), (1004, [(1004, 25, 5.006)]), (1005, [(1005, 5, 0.2001)]), (1013, [(1013, 5, 0.1994)]), (1016, [(1016, -10, 0.7962)]), (1021, [(1021, -10, 0.7943)]), (1032, [(1032, -20, 3.160)]), (1037, [(1037, 20, 3.153)]), (1048, [(1048, -10, 0.7840)]), (1049, [(1049, 5, 0.1959)]), (1057, [(1057, 0, 0)]), (1061, [(1061, -5, 0.1948)]), (1065, [(1065, 5, 0.1944)]), (1068, [(1068, 5, 0.1942)]), (1081, [(1081, 0, 0)]), (1093, [(1093, 25, 4.798)]), (1101, [(1101, -25, 4.781)]), (1105, [(1105, -10, 0.7635)]), (1109, [(1109, 0, 0)]), (1112, [(1112, 10, 0.7611)]), (1137, [(1137, 5, 0.1882)]), (1145, [(1145, 15, 1.688)]), (1148, [(1148, -10, 0.7491)]), (1149, [(1149, -15, 1.685)]), (1153, [(1153, -5, 0.1869)]), (1160, [(1160, -20, 2.981)]), (1164, [(1164, 15, 1.674)]), (1169, [(1169, -10, 0.7423)]), (1180, [(1180, 15, 1.662)]), (1181, [(1181, -30, 6.647)]), (1189, [(1189, -20, 2.944)]), (1192, [(1192, -10, 0.7351)]), (1193, [(1193, -15, 1.653)]), (1208, [(1208, 0, 0)]), (1213, [(1213, 5, 0.1822)]), (1237, [(1237, 10, 0.7216)]), (1241, [(1241, -10, 0.7205)]), (1244, [(1244, -20, 2.878)]), (1257, [(1257, 0, 0)]), (1277, [(1277, 25, 4.439)]), (1281, [(1281, 10, 0.7091)]), (1285, [(1285, 20, 2.832)]), (1288, [(1288, -10, 0.7072)]), (1292, [(1292, 10, 0.7061)]), (1301, [(1301, -35, 8.620)]), (1313, [(1313, 0, 0)]), (1321, [(1321, 5, 0.1746)]), (1324, [(1324, 15, 1.569)]), (1329, [(1329, -5, 0.1740)]), (1336, [(1336, -10, 0.6944)]), (1340, [(1340, 25, 4.333)]), (1345, [(1345, 0, 0)]), (1356, [(1356, 5, 0.1723)]), (1357, [(1357, -15, 1.550)]), (1365, [(1365, 20, 2.748)]), (1373, [(1373, 5, 0.1712)]), (1384, [(1384, 20, 2.729)]), (1389, [(1389, 5, 0.1702)]), (1401, [(1401, -15, 1.526)]), (1409, [(1409, 5, 0.1690)]), (1417, [(1417, 10, 0.6742)]), (1420, [(1420, -15, 1.515)]), (1433, [(1433, 10, 0.6704)]), (1453, [(1453, 15, 1.498)]), (1457, [(1457, 0, 0)]), (1461, [(1461, 25, 4.150)]), (1464, [(1464, 20, 2.653)]), (1468, [(1468, 5, 0.1656)]), (1477, [(1477, 10, 0.6604)]), (1489, [(1489, -5, 0.1644)]), (1497, [(1497, 10, 0.6560)]), (1501, [(1501, 10, 0.6551)]), (1505, [(1505, -10, 0.6542)]), (1516, [(1516, -5, 0.1630)]), (1532, [(1532, 5, 0.1621)]), (1533, [(1533, 30, 5.834)]), (1541, [(1541, 15, 1.455)]), (1544, [(1544, 20, 2.584)]), (1545, [(1545, -10, 0.6457)]), (1549, [(1549, -15, 1.451)]), (1560, [(1560, -30, 5.783)]), (1565, [(1565, -15, 1.444)]), (1576, [(1576, 0, 0)]), (1577, [(1577, 10, 0.6391)]), (1585, [(1585, -15, 1.434)]), (1589, [(1589, -10, 0.6367)]), (1596, [(1596, 10, 0.6353)]), (1609, [(1609, -10, 0.6327)]), (1621, [(1621, -20, 2.521)]), (1633, [(1633, 5, 0.1570)]), (1637, [(1637, -5, 0.1568)]), (1640, [(1640, 10, 0.6267)]), (1644, [(1644, -25, 3.912)]), (1653, [(1653, 10, 0.6242)]), (1673, [(1673, -10, 0.6205)]), (1676, [(1676, 0, 0)]), (1677, [(1677, -10, 0.6198)]), (1688, [(1688, 20, 2.471)]), (1697, [(1697, 0, 0)]), (1708, [(1708, -10, 0.6141)]), (1709, [(1709, 35, 7.521)]), (1717, [(1717, -10, 0.6125)]), (1720, [(1720, -20, 2.448)]), (1721, [(1721, 5, 0.1529)]), (1736, [(1736, -10, 0.6091)]), (1741, [(1741, -35, 7.451)]), (1752, [(1752, 10, 0.6064)]), (1753, [(1753, 0, 0)]), (1761, [(1761, -10, 0.6048)]), (1765, [(1765, 15, 1.359)]), (1769, [(1769, 10, 0.6034)]), (1772, [(1772, -15, 1.357)]), (1785, [(1785, 20, 2.403)]), (1797, [(1797, 30, 5.388)]), (1816, [(1816, 30, 5.360)]), (1820, [(1820, 20, 2.380)]), (1829, [(1829, -35, 7.270)]), (1841, [(1841, 0, 0)]), (1852, [(1852, -15, 1.327)]), (1853, [(1853, 10, 0.5896)]), (1857, [(1857, 15, 1.325)]), (1864, [(1864, 0, 0)]), (1868, [(1868, -5, 0.1468)]), (1873, [(1873, 10, 0.5864)]), (1884, [(1884, 5, 0.1462)]), (1885, [(1885, -10, 0.5846)]), (1893, [(1893, -5, 0.1458)]), (1896, [(1896, 20, 2.331)]), (1897, [(1897, 0, 0)]), (1901, [(1901, 5, 0.1455)]), (1912, [(1912, 0, 0)]), (1928, [(1928, 0, 0)]), (1929, [(1929, 5, 0.1445)]), (1937, [(1937, 0, 0)]), (1941, [(1941, -15, 1.296)]), (1945, [(1945, -5, 0.1439)]), (1948, [(1948, -5, 0.1438)]), (1961, [(1961, -10, 0.5731)]), (1973, [(1973, 15, 1.286)]), (1981, [(1981, 20, 2.281)]), (1985, [(1985, 0, 0)]), (1992, [(1992, -20, 2.275)]), (1996, [(1996, 0, 0)]), (2005, [(2005, 20, 2.267)]), (2017, [(2017, 5, 0.1413)]), (2029, [(2029, 15, 1.268)]), (2033, [(2033, 0, 0)]), (2040, [(2040, 10, 0.5619)]), (2044, [(2044, -10, 0.5614)]), (2049, [(2049, -10, 0.5607)]), (2060, [(2060, -20, 2.237)]), (2069, [(2069, -30, 5.022)]), (2072, [(2072, 10, 0.5576)]), (2073, [(2073, 5, 0.1394)]), (2077, [(2077, 15, 1.253)]), (2093, [(2093, 20, 2.219)]), (2104, [(2104, -10, 0.5533)]), (2105, [(2105, -20, 2.213)]), (2113, [(2113, 10, 0.5521)]), (2117, [(2117, -30, 4.964)]), (2121, [(2121, -10, 0.5511)]), (2137, [(2137, -5, 0.1373)]), (2149, [(2149, -40, 8.760)]), (2157, [(2157, 15, 1.230)]), (2161, [(2161, -5, 0.1365)]), (2165, [(2165, -15, 1.227)]), (2168, [(2168, -10, 0.5451)]), (2172, [(2172, -15, 1.225)]), (2181, [(2181, 25, 3.397)]), (2193, [(2193, 0, 0)]), (2201, [(2201, 15, 1.217)]), (2204, [(2204, -10, 0.5406)]), (2216, [(2216, -20, 2.157)]), (2220, [(2220, 25, 3.367)]), (2236, [(2236, -10, 0.5367)]), (2237, [(2237, -20, 2.146)]), (2245, [(2245, 35, 6.562)]), (2248, [(2248, 0, 0)]), (2249, [(2249, -10, 0.5352)]), (2253, [(2253, 25, 3.342)]), (2264, [(2264, 20, 2.134)]), (2269, [(2269, 5, 0.1332)]), (2280, [(2280, 10, 0.5315)]), (2281, [(2281, 15, 1.196)]), (2289, [(2289, 10, 0.5305)]), (2293, [(2293, 5, 0.1325)]), (2297, [(2297, 5, 0.1324)]), (2333, [(2333, -5, 0.1314)]), (2337, [(2337, 20, 2.100)]), (2341, [(2341, -15, 1.180)]), (2344, [(2344, -10, 0.5242)]), (2348, [(2348, 10, 0.5238)]), (2357, [(2357, 45, 10.59)]), (2369, [(2369, -10, 0.5214)]), (2377, [(2377, -5, 0.1301)]), (2380, [(2380, 0, 0)]), (2381, [(2381, 20, 2.081)]), (2392, [(2392, -10, 0.5189)]), (2396, [(2396, -10, 0.5185)]), (2413, [(2413, -10, 0.5167)]), (2424, [(2424, 10, 0.5155)]), (2429, [(2429, 10, 0.5150)]), (2440, [(2440, 20, 2.055)]), (2445, [(2445, -40, 8.212)]), (2456, [(2456, 30, 4.609)]), (2465, [(2465, 10, 0.5112)]), (2469, [(2469, -35, 6.257)]), (2473, [(2473, -5, 0.1276)]), (2476, [(2476, 5, 0.1275)]), (2489, [(2489, 0, 0)]), (2501, [(2501, -20, 2.030)]), (2509, [(2509, -20, 2.027)]), (2513, [(2513, -20, 2.025)]), (2517, [(2517, -15, 1.138)]), (2524, [(2524, -5, 0.1263)]), (2533, [(2533, -10, 0.5043)]), (2545, [(2545, 5, 0.1258)]), (2553, [(2553, 5, 0.1256)]), (2557, [(2557, 5, 0.1255)]), (2561, [(2561, 20, 2.006)]), (2568, [(2568, 10, 0.5008)]), (2572, [(2572, -15, 1.126)]), (2577, [(2577, -15, 1.125)]), (2588, [(2588, -15, 1.123)]), (2589, [(2589, 40, 7.981)]), (2605, [(2605, -5, 0.1243)]), (2616, [(2616, 0, 0)]), (2621, [(2621, 20, 1.983)]), (2632, [(2632, 0, 0)]), (2633, [(2633, 5, 0.1237)]), (2641, [(2641, -10, 0.4939)]), (2649, [(2649, -20, 1.972)]), (2652, [(2652, 10, 0.4928)]), (2665, [(2665, -10, 0.4916)]), (2677, [(2677, -5, 0.1226)]), (2685, [(2685, -25, 3.061)]), (2689, [(2689, -5, 0.1224)]), (2693, [(2693, -25, 3.057)]), (2696, [(2696, 10, 0.4888)]), (2721, [(2721, 10, 0.4865)]), (2729, [(2729, -20, 1.943)]), (2732, [(2732, 10, 0.4856)]), (2733, [(2733, -40, 7.768)]), (2737, [(2737, 0, 0)]), (2748, [(2748, -5, 0.1210)]), (2753, [(2753, 5, 0.1209)]), (2764, [(2764, 25, 3.017)]), (2765, [(2765, 20, 1.931)]), (2773, [(2773, -10, 0.4820)]), (2776, [(2776, -10, 0.4817)]), (2777, [(2777, 20, 1.926)]), (2792, [(2792, -10, 0.4803)]), (2797, [(2797, 10, 0.4799)]), (2821, [(2821, -40, 7.646)]), (2828, [(2828, 30, 4.295)]), (2841, [(2841, 5, 0.1190)]), (2861, [(2861, 15, 1.068)]), (2865, [(2865, -5, 0.1185)]), (2869, [(2869, 20, 1.895)]), (2872, [(2872, 10, 0.4736)]), (2876, [(2876, -5, 0.1183)]), (2885, [(2885, 25, 2.953)]), (2897, [(2897, 0, 0)]), (2905, [(2905, -10, 0.4709)]), (2908, [(2908, 25, 2.942)]), (2909, [(2909, 25, 2.941)]), (2913, [(2913, 5, 0.1176)]), (2920, [(2920, 10, 0.4697)]), (2924, [(2924, -40, 7.510)]), (2929, [(2929, 20, 1.876)]), (2941, [(2941, 20, 1.872)]), (2949, [(2949, 15, 1.052)]), (2953, [(2953, 10, 0.4670)]), (2957, [(2957, -25, 2.917)]), (2968, [(2968, 20, 1.863)]), (2973, [(2973, -40, 7.448)]), (2984, [(2984, -10, 0.4646)]), (2985, [(2985, -10, 0.4645)]), (2993, [(2993, -10, 0.4639)]), (3001, [(3001, 5, 0.1158)]), (3004, [(3004, -15, 1.042)]), (3017, [(3017, -10, 0.4621)]), (3029, [(3029, 0, 0)]), (3037, [(3037, 25, 2.878)]), (3041, [(3041, 10, 0.4602)]), (3045, [(3045, -50, 11.50)]), (3048, [(3048, -10, 0.4597)]), (3052, [(3052, -10, 0.4594)]), (3061, [(3061, 15, 1.032)]), (3073, [(3073, -10, 0.4578)]), (3081, [(3081, -10, 0.4572)]), (3084, [(3084, 0, 0)]), (3085, [(3085, 30, 4.113)]), (3089, [(3089, 15, 1.027)]), (3116, [(3116, -40, 7.275)]), (3117, [(3117, -15, 1.023)]), (3128, [(3128, -10, 0.4538)]), (3129, [(3129, 0, 0)]), (3133, [(3133, 30, 4.081)]), (3144, [(3144, 10, 0.4526)]), (3149, [(3149, -20, 1.809)]), (3160, [(3160, -20, 1.806)]), (3161, [(3161, -10, 0.4514)]), (3169, [(3169, 5, 0.1127)]), (3173, [(3173, 10, 0.4506)]), (3180, [(3180, 10, 0.4501)]), (3193, [(3193, 0, 0)]), (3205, [(3205, 5, 0.1121)]), (3217, [(3217, -5, 0.1119)]), (3221, [(3221, 45, 9.056)]), (3224, [(3224, -30, 4.023)]), (3228, [(3228, -30, 4.020)]), (3237, [(3237, -30, 4.015)]), (3257, [(3257, 10, 0.4447)]), (3260, [(3260, 30, 4.001)]), (3261, [(3261, 10, 0.4444)]), (3265, [(3265, -5, 0.1110)]), (3272, [(3272, 0, 0)]), (3281, [(3281, 10, 0.4431)]), (3292, [(3292, 5, 0.1106)]), (3293, [(3293, -45, 8.956)]), (3301, [(3301, 25, 2.761)]), (3304, [(3304, -10, 0.4415)]), (3305, [(3305, -5, 0.1104)]), (3309, [(3309, 5, 0.1103)]), (3320, [(3320, 0, 0)]), (3336, [(3336, 10, 0.4394)]), (3337, [(3337, 10, 0.4393)]), (3345, [(3345, 15, 0.9874)]), (3349, [(3349, 10, 0.4386)]), (3353, [(3353, -20, 1.753)]), (3356, [(3356, 5, 0.1095)]), (3369, [(3369, 0, 0)]), (3389, [(3389, 15, 0.9809)]), (3397, [(3397, -30, 3.919)]), (3404, [(3404, -25, 2.719)]), (3413, [(3413, 5, 0.1086)]), (3433, [(3433, 0, 0)]), (3436, [(3436, -5, 0.1082)]), (3437, [(3437, -10, 0.4329)]), (3441, [(3441, 5, 0.1082)]), (3448, [(3448, -10, 0.4322)]), (3452, [(3452, 0, 0)]), (3457, [(3457, -5, 0.1079)]), (3469, [(3469, -5, 0.1077)]), (3477, [(3477, -30, 3.874)]), (3480, [(3480, -20, 1.721)]), (3485, [(3485, 40, 6.879)]), (3496, [(3496, 10, 0.4292)]), (3512, [(3512, 20, 1.713)]), (3513, [(3513, -25, 2.676)]), (3521, [(3521, 10, 0.4277)]), (3529, [(3529, 5, 0.1068)]), (3532, [(3532, 10, 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0.3274)]), (6029, [(6029, -5, 0.08172)]), (6033, [(6033, 5, 0.08169)]), (6037, [(6037, 15, 0.7350)]), (6040, [(6040, -20, 1.306)]), (6044, [(6044, -25, 2.040)]), (6053, [(6053, 20, 1.305)]), (6065, [(6065, 5, 0.08147)]), (6073, [(6073, 10, 0.3257)]), (6077, [(6077, -10, 0.3256)]), (6081, [(6081, 35, 3.987)]), (6088, [(6088, -10, 0.3253)]), (6092, [(6092, 5, 0.08129)]), (6097, [(6097, 20, 1.300)]), (6108, [(6108, 5, 0.08119)]), (6109, [(6109, -50, 8.118)]), (6117, [(6117, 10, 0.3245)]), (6121, [(6121, 15, 0.7299)]), (6136, [(6136, -10, 0.3240)]), (6141, [(6141, 5, 0.08097)]), (6152, [(6152, -50, 8.089)]), (6153, [(6153, 10, 0.3236)]), (6161, [(6161, -10, 0.3233)]), (6169, [(6169, 0, 0)]), (6172, [(6172, 0, 0)]), (6185, [(6185, 0, 0)]), (6197, [(6197, 5, 0.08060)]), (6205, [(6205, 10, 0.3222)]), (6209, [(6209, -20, 1.288)]), (6213, [(6213, -20, 1.288)]), (6216, [(6216, -10, 0.3219)]), (6220, [(6220, 20, 1.287)]), (6229, [(6229, -35, 3.939)]), (6249, [(6249, -25, 2.007)]), (6252, [(6252, 5, 0.08025)]), (6257, [(6257, 5, 0.08021)]), (6268, [(6268, -10, 0.3206)]), (6284, [(6284, 30, 2.881)]), (6285, [(6285, -40, 5.122)]), (6293, [(6293, 10, 0.3199)]), (6296, [(6296, 0, 0)]), (6297, [(6297, -5, 0.07996)]), (6301, [(6301, -5, 0.07993)]), (6312, [(6312, 10, 0.3195)]), (6317, [(6317, -35, 3.912)]), (6328, [(6328, -30, 2.871)]), (6329, [(6329, -20, 1.276)]), (6337, [(6337, 0, 0)]), (6341, [(6341, 10, 0.3187)]), (6361, [(6361, -10, 0.3182)]), (6373, [(6373, 10, 0.3179)]), (6385, [(6385, 5, 0.07941)]), (6389, [(6389, 45, 6.430)]), (6392, [(6392, 40, 5.079)]), (6396, [(6396, 30, 2.856)]), (6405, [(6405, -30, 2.854)]), (6428, [(6428, -15, 0.7123)]), (6429, [(6429, 25, 1.978)]), (6433, [(6433, -10, 0.3164)]), (6440, [(6440, -30, 2.846)]), (6449, [(6449, 5, 0.07901)]), (6460, [(6460, -30, 2.842)]), (6461, [(6461, 40, 5.052)]), (6469, [(6469, -25, 1.972)]), (6472, [(6472, -10, 0.3155)]), (6473, [(6473, -5, 0.07886)]), (6477, [(6477, 20, 1.261)]), (6488, [(6488, -40, 5.041)]), (6493, [(6493, -30, 2.835)]), (6504, [(6504, -10, 0.3147)]), (6505, [(6505, 15, 0.7080)]), (6513, [(6513, 20, 1.258)]), (6521, [(6521, 5, 0.07857)]), (6524, [(6524, 10, 0.3142)]), (6537, [(6537, 15, 0.7063)]), (6549, [(6549, -5, 0.07840)]), (6557, [(6557, -10, 0.3134)]), (6565, [(6565, -20, 1.253)]), (6568, [(6568, 20, 1.253)]), (6572, [(6572, 20, 1.252)]), (6581, [(6581, -15, 0.7039)]), (6593, [(6593, -10, 0.3126)]), (6601, [(6601, -10, 0.3124)]), (6604, [(6604, -40, 4.997)]), (6605, [(6605, -35, 3.826)]), (6609, [(6609, 5, 0.07805)]), (6616, [(6616, 30, 2.808)]), (6620, [(6620, 25, 1.950)]), (6636, [(6636, 40, 4.985)]), (6637, [(6637, 20, 1.246)]), (6645, [(6645, 35, 3.814)]), (6648, [(6648, -40, 4.980)]), (6649, [(6649, 0, 0)]), (6653, [(6653, 75, 17.50)]), (6680, [(6680, -10, 0.3105)]), (6681, [(6681, 0, 0)]), (6689, [(6689, -5, 0.07758)]), (6693, [(6693, -5, 0.07756)]), (6697, [(6697, -5, 0.07753)]), (6733, [(6733, 5, 0.07733)]), (6737, [(6737, -10, 0.3092)]), (6744, [(6744, 20, 1.236)]), (6748, [(6748, -20, 1.236)]), (6757, [(6757, 20, 1.235)]), (6769, [(6769, 10, 0.3085)]), (6780, [(6780, 15, 0.6935)]), (6781, [(6781, -15, 0.6935)]), (6785, [(6785, 25, 1.926)]), (6792, [(6792, 20, 1.232)]), (6796, [(6796, 40, 4.926)]), (6801, [(6801, -5, 0.07694)]), (6812, [(6812, -20, 1.230)]), (6821, [(6821, -40, 4.917)]), (6824, [(6824, 20, 1.229)]), (6829, [(6829, 35, 3.762)]), (6856, [(6856, 20, 1.226)]), (6857, [(6857, -15, 0.6896)]), (6865, [(6865, -5, 0.07658)]), (6869, [(6869, 35, 3.751)]), (6873, [(6873, -20, 1.225)]), (6901, [(6901, 0, 0)]), (6913, [(6913, -5, 0.07631)]), (6917, [(6917, 0, 0)]), (6920, [(6920, -20, 1.220)]), (6924, [(6924, -15, 0.6863)]), (6933, [(6933, 5, 0.07620)]), (6945, [(6945, 25, 1.903)]), (6953, [(6953, -10, 0.3044)]), (6956, [(6956, 30, 2.739)]), (6961, [(6961, 0, 0)]), (6968, [(6968, 10, 0.3040)]), (6972, [(6972, -10, 0.3040)]), (6977, [(6977, 15, 0.6837)]), (6988, [(6988, 5, 0.07590)]), (6989, [(6989, 50, 7.590)]), (6997, [(6997, 25, 1.896)]), (7001, [(7001, 0, 0)]), (7005, [(7005, -25, 1.895)]), (7016, [(7016, -10, 0.3030)]), (7021, [(7021, -20, 1.212)]), (7032, [(7032, 10, 0.3027)]), (7033, [(7033, 10, 0.3026)]), (7041, [(7041, -5, 0.07562)]), (7045, [(7045, -15, 0.6804)]), (7049, [(7049, 0, 0)]), (7052, [(7052, -20, 1.209)]), (7077, [(7077, 20, 1.207)]), (7085, [(7085, -30, 2.714)]), (7089, [(7089, -10, 0.3014)]), (7093, [(7093, 0, 0)]), (7096, [(7096, 0, 0)]), (7109, [(7109, 15, 0.6773)]), (7121, [(7121, -25, 1.880)]), (7129, [(7129, -5, 0.07515)]), (7132, [(7132, -5, 0.07513)]), (7133, [(7133, 10, 0.3005)]), (7144, [(7144, -20, 1.201)]), (7148, [(7148, 25, 1.876)]), (7153, [(7153, 10, 0.3001)]), (7165, [(7165, 0, 0)]), (7176, [(7176, -10, 0.2996)]), (7177, [(7177, 0, 0)]), (7181, [(7181, -40, 4.792)]), (7192, [(7192, -20, 1.197)]), (7197, [(7197, -15, 0.6731)]), (7208, [(7208, -20, 1.196)]), (7217, [(7217, 10, 0.2988)]), (7221, [(7221, 0, 0)]), (7228, [(7228, 0, 0)]), (7241, [(7241, -10, 0.2983)]), (7253, [(7253, -5, 0.07450)]), (7261, [(7261, -20, 1.191)]), (7265, [(7265, 5, 0.07444)]), (7269, [(7269, 5, 0.07442)]), (7276, [(7276, -30, 2.678)]), (7285, [(7285, 30, 2.676)]), (7297, [(7297, -10, 0.2971)]), (7305, [(7305, 5, 0.07424)]), (7309, [(7309, 45, 6.012)]), (7313, [(7313, 20, 1.187)]), (7320, [(7320, 0, 0)]), (7324, [(7324, 25, 1.854)]), (7329, [(7329, -20, 1.186)]), (7340, [(7340, -5, 0.07406)]), (7341, [(7341, -45, 5.998)]), (7349, [(7349, -40, 4.737)]), (7352, [(7352, 0, 0)]), (7357, [(7357, 20, 1.184)]), (7368, [(7368, -10, 0.2957)]), (7373, [(7373, 10, 0.2956)]), (7384, [(7384, 10, 0.2954)]), (7385, [(7385, 10, 0.2953)]), (7393, [(7393, 15, 0.6641)]), (7397, [(7397, 60, 10.62)]), (7401, [(7401, -25, 1.844)]), (7404, [(7404, -30, 2.655)]), (7417, [(7417, 5, 0.07367)]), (7429, [(7429, -30, 2.650)]), (7437, [(7437, 45, 5.960)]), (7441, [(7441, 10, 0.2942)]), (7445, [(7445, -25, 1.838)]), (7473, [(7473, 20, 1.174)]), (7481, [(7481, 25, 1.834)]), (7484, [(7484, 35, 3.594)]), 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[(7989, -15, 0.6389)]), (8009, [(8009, -5, 0.07090)]), (8012, [(8012, -10, 0.2835)]), (8013, [(8013, 0, 0)]), (8017, [(8017, 10, 0.2835)]), (8024, [(8024, 30, 2.550)]), (8033, [(8033, 0, 0)]), (8044, [(8044, -15, 0.6367)]), (8045, [(8045, 10, 0.2830)]), (8053, [(8053, 10, 0.2828)]), (8056, [(8056, -20, 1.131)]), (8057, [(8057, -20, 1.131)]), (8061, [(8061, -65, 11.94)]), (8072, [(8072, 0, 0)]), (8077, [(8077, 30, 2.542)]), (8088, [(8088, -10, 0.2822)]), (8089, [(8089, 5, 0.07055)]), (8097, [(8097, -15, 0.6346)]), (8101, [(8101, -45, 5.710)]), (8105, [(8105, 20, 1.128)]), (8108, [(8108, -25, 1.762)]), (8121, [(8121, -25, 1.760)]), (8133, [(8133, -35, 3.447)]), (8141, [(8141, -20, 1.125)]), (8149, [(8149, -40, 4.498)]), (8152, [(8152, 0, 0)]), (8156, [(8156, -10, 0.2810)]), (8165, [(8165, 25, 1.755)]), (8177, [(8177, 10, 0.2807)]), (8185, [(8185, -15, 0.6312)]), (8188, [(8188, -35, 3.436)]), (8189, [(8189, -80, 17.95)]), (8193, [(8193, 30, 2.524)]), (8204, [(8204, -30, 2.522)]), (8209, [(8209, 5, 0.07003)]), (8220, [(8220, -5, 0.06998)]), (8221, [(8221, 35, 3.429)]), (8229, [(8229, -20, 1.119)]), (8233, [(8233, 5, 0.06993)]), (8237, [(8237, 5, 0.06991)]), (8248, [(8248, -10, 0.2795)]), (8264, [(8264, -10, 0.2792)]), (8265, [(8265, -10, 0.2792)]), (8273, [(8273, -10, 0.2790)]), (8277, [(8277, -35, 3.417)]), (8284, [(8284, 40, 4.462)]), (8297, [(8297, 5, 0.06966)]), (8309, [(8309, -50, 6.961)]), (8317, [(8317, -10, 0.2783)]), (8321, [(8321, 0, 0)]), (8328, [(8328, 10, 0.2781)]), (8332, [(8332, -5, 0.06951)]), (8341, [(8341, -10, 0.2779)]), (8353, [(8353, 15, 0.6248)]), (8364, [(8364, 0, 0)]), (8365, [(8365, -30, 2.497)]), (8369, [(8369, -20, 1.110)]), (8376, [(8376, -30, 2.496)]), (8380, [(8380, 0, 0)]), (8385, [(8385, 10, 0.2772)]), (8396, [(8396, 5, 0.06925)]), (8408, [(8408, -30, 2.491)]), (8409, [(8409, 10, 0.2768)]), (8413, [(8413, 40, 4.427)]), (8429, [(8429, -35, 3.386)]), (8440, [(8440, 40, 4.420)]), (8441, [(8441, -15, 0.6216)]), (8449, [(8449, 0, 0)]), (8453, [(8453, -30, 2.484)]), (8457, [(8457, 15, 0.6210)]), (8473, [(8473, 5, 0.06893)]), (8485, [(8485, 10, 0.2755)]), (8493, [(8493, 0, 0)]), (8497, [(8497, -10, 0.2753)]), (8501, [(8501, -75, 15.48)]), (8504, [(8504, 20, 1.101)]), (8508, [(8508, 35, 3.371)]), (8517, [(8517, 30, 2.475)]), (8529, [(8529, 10, 0.2748)]), (8537, [(8537, -5, 0.06867)]), (8540, [(8540, -50, 6.866)]), (8545, [(8545, -25, 1.716)]), (8552, [(8552, 0, 0)]), (8556, [(8556, -35, 3.361)]), (8561, [(8561, 0, 0)]), (8572, [(8572, -15, 0.6168)]), (8573, [(8573, -10, 0.2741)]), (8581, [(8581, -15, 0.6165)]), (8584, [(8584, 40, 4.383)]), (8585, [(8585, 10, 0.2739)]), (8589, [(8589, 60, 9.859)]), (8605, [(8605, -5, 0.06840)]), (8616, [(8616, -30, 2.461)]), (8617, [(8617, 10, 0.2734)]), (8629, [(8629, -55, 8.265)]), (8633, [(8633, 15, 0.6146)]), (8636, [(8636, 20, 1.092)]), (8661, [(8661, -5, 0.06818)]), (8669, [(8669, -10, 0.2726)]), (8677, [(8677, 30, 2.452)]), (8680, [(8680, -10, 0.2724)]), (8684, [(8684, 0, 0)]), (8693, [(8693, 50, 6.805)]), (8705, [(8705, 5, 0.06801)]), (8713, [(8713, 15, 0.6118)]), (8716, [(8716, 25, 1.699)]), (8717, [(8717, -15, 0.6116)]), (8728, [(8728, 0, 0)]), (8732, [(8732, -35, 3.327)]), (8737, [(8737, 10, 0.2715)]), (8749, [(8749, 10, 0.2713)]), (8760, [(8760, -30, 2.441)]), (8761, [(8761, -15, 0.6101)]), (8765, [(8765, -30, 2.440)]), (8776, [(8776, -20, 1.084)]), (8781, [(8781, -40, 4.333)]), (8792, [(8792, 10, 0.2707)]), (8801, [(8801, -20, 1.082)]), (8805, [(8805, 20, 1.082)]), (8809, [(8809, 15, 0.6084)]), (8812, [(8812, 25, 1.690)]), (8837, [(8837, -15, 0.6075)]), (8845, [(8845, 30, 2.429)]), (8849, [(8849, 0, 0)]), (8853, [(8853, -50, 6.744)]), (8860, [(8860, 5, 0.06741)]), (8881, [(8881, -10, 0.2693)]), (8889, [(8889, 5, 0.06730)]), (8893, [(8893, 10, 0.2691)]), (8897, [(8897, 10, 0.2691)]), (8904, [(8904, -40, 4.303)]), (8908, [(8908, 0, 0)]), (8913, [(8913, -5, 0.06721)]), (8924, [(8924, -15, 0.6045)]), (8933, [(8933, 25, 1.678)]), (8936, [(8936, 10, 0.2685)]), 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[(9205, -20, 1.058)]), (9208, [(9208, -20, 1.058)]), (9221, [(9221, 65, 11.17)]), (9233, [(9233, -10, 0.2641)]), (9241, [(9241, 5, 0.06600)]), (9244, [(9244, 15, 0.5939)]), (9249, [(9249, 15, 0.5938)]), (9256, [(9256, -10, 0.2638)]), (9260, [(9260, -15, 0.5934)]), (9265, [(9265, 10, 0.2637)]), (9276, [(9276, -20, 1.054)]), (9277, [(9277, 5, 0.06588)]), (9285, [(9285, -45, 5.334)]), (9289, [(9289, 20, 1.053)]), (9293, [(9293, -20, 1.053)]), (9304, [(9304, 10, 0.2631)]), (9309, [(9309, 60, 9.470)]), (9320, [(9320, 60, 9.464)]), (9321, [(9321, 0, 0)]), (9329, [(9329, 10, 0.2628)]), (9337, [(9337, 5, 0.06566)]), (9340, [(9340, -25, 1.641)]), (9353, [(9353, 0, 0)]), (9365, [(9365, -20, 1.049)]), (9373, [(9373, 20, 1.049)]), (9377, [(9377, 20, 1.048)]), (9381, [(9381, 0, 0)]), (9384, [(9384, -10, 0.2620)]), (9388, [(9388, -5, 0.06549)]), (9397, [(9397, 5, 0.06545)]), (9417, [(9417, 0, 0)]), (9420, [(9420, 25, 1.634)]), (9421, [(9421, 20, 1.046)]), (9436, [(9436, 20, 1.045)]), (9452, [(9452, 10, 0.2611)]), (9453, [(9453, -25, 1.632)]), (9461, [(9461, 50, 6.523)]), (9465, [(9465, -25, 1.630)]), (9469, [(9469, -40, 4.173)]), (9480, [(9480, 40, 4.171)]), (9485, [(9485, 20, 1.042)]), (9496, [(9496, 10, 0.2604)]), (9497, [(9497, 15, 0.5860)]), (9505, [(9505, 15, 0.5857)]), (9509, [(9509, -20, 1.041)]), (9516, [(9516, 30, 2.342)]), (9529, [(9529, -10, 0.2600)]), (9541, [(9541, -20, 1.039)]), (9553, [(9553, 0, 0)]), (9557, [(9557, 0, 0)]), (9560, [(9560, 0, 0)]), (9564, [(9564, -25, 1.622)]), (9573, [(9573, 40, 4.150)]), (9593, [(9593, 20, 1.036)]), (9596, [(9596, 25, 1.619)]), (9597, [(9597, 40, 4.145)]), (9601, [(9601, -5, 0.06475)]), (9608, [(9608, -10, 0.2589)]), (9617, [(9617, -10, 0.2588)]), (9628, [(9628, -20, 1.035)]), (9629, [(9629, 35, 3.168)]), (9637, [(9637, -20, 1.034)]), (9640, [(9640, 0, 0)]), (9641, [(9641, -10, 0.2585)]), (9645, [(9645, 5, 0.06461)]), (9656, [(9656, 30, 2.325)]), (9661, [(9661, 15, 0.5810)]), (9672, [(9672, -10, 0.2581)]), (9673, [(9673, 0, 0)]), (9681, [(9681, 10, 0.2579)]), (9685, [(9685, 0, 0)]), (9689, [(9689, -5, 0.06446)]), (9692, [(9692, 15, 0.5800)]), (9705, [(9705, 5, 0.06441)]), (9717, [(9717, -20, 1.030)]), (9733, [(9733, 15, 0.5788)]), (9736, [(9736, 20, 1.029)]), (9740, [(9740, -5, 0.06429)]), (9749, [(9749, -40, 4.113)]), (9761, [(9761, 10, 0.2569)]), (9769, [(9769, 15, 0.5778)]), (9772, [(9772, -40, 4.108)]), (9773, [(9773, 20, 1.027)]), (9777, [(9777, -30, 2.310)]), (9784, [(9784, 30, 2.309)]), (9788, [(9788, -5, 0.06413)]), (9793, [(9793, -10, 0.2565)]), (9804, [(9804, 0, 0)]), (9805, [(9805, 0, 0)]), (9813, [(9813, -25, 1.601)]), (9816, [(9816, -40, 4.099)]), (9817, [(9817, 0, 0)]), (9821, [(9821, 10, 0.2561)]), (9832, [(9832, -30, 2.304)]), (9848, [(9848, 20, 1.023)]), (9857, [(9857, 5, 0.06391)]), (9861, [(9861, 10, 0.2556)]), (9865, [(9865, -5, 0.06388)]), (9868, [(9868, -5, 0.06387)]), (9881, [(9881, -10, 0.2553)]), (9893, [(9893, 50, 6.379)]), (9901, [(9901, -20, 1.020)]), (9905, [(9905, 0, 0)]), (9912, [(9912, -10, 0.2549)]), (9916, [(9916, 5, 0.06372)]), (9937, [(9937, 0, 0)]), (9948, [(9948, 35, 3.117)]), (9949, [(9949, -10, 0.2544)]), (9953, [(9953, -20, 1.018)]), (9960, [(9960, 20, 1.017)]), (9964, [(9964, 0, 0)]), (9969, [(9969, -10, 0.2542)]), (9980, [(9980, -20, 1.016)]), (9989, [(9989, -60, 9.142)]), (9992, [(9992, -20, 1.016)]), (9993, [(9993, -15, 0.5712)]), (9997, [(9997, -20, 1.015)])]]