Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(71,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.71");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 34 x^{14} - 80 x^{13} + 97 x^{12} - 80 x^{11} + 498 x^{10} - 3288 x^{9} + \cdots + 43046721 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 71.4 | ||
Root | \(1.51079 + 2.59182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.71 |
Dual form | 210.3.e.a.71.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.41421i | − | 0.707107i | ||||||
\(3\) | −1.51079 | − | 2.59182i | −0.503597 | − | 0.863939i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | − | 2.23607i | − | 0.447214i | ||||||
\(6\) | −3.66538 | + | 2.13658i | −0.610897 | + | 0.356097i | ||||
\(7\) | −2.64575 | −0.377964 | ||||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −4.43502 | + | 7.83139i | −0.492780 | + | 0.870154i | ||||
\(10\) | −3.16228 | −0.316228 | ||||||||
\(11\) | − | 14.6732i | − | 1.33393i | −0.745091 | − | 0.666963i | \(-0.767594\pi\) | ||
0.745091 | − | 0.666963i | \(-0.232406\pi\) | |||||||
\(12\) | 3.02158 | + | 5.18363i | 0.251799 | + | 0.431969i | ||||
\(13\) | −19.1112 | −1.47009 | −0.735047 | − | 0.678016i | \(-0.762840\pi\) | ||||
−0.735047 | + | 0.678016i | \(0.762840\pi\) | |||||||
\(14\) | 3.74166i | 0.267261i | ||||||||
\(15\) | −5.79548 | + | 3.37823i | −0.386365 | + | 0.225215i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 29.7911i | 1.75242i | 0.481930 | + | 0.876210i | \(0.339936\pi\) | ||||
−0.481930 | + | 0.876210i | \(0.660064\pi\) | |||||||
\(18\) | 11.0753 | + | 6.27207i | 0.615292 | + | 0.348448i | ||||
\(19\) | 14.7237 | 0.774930 | 0.387465 | − | 0.921884i | \(-0.373351\pi\) | ||||
0.387465 | + | 0.921884i | \(0.373351\pi\) | |||||||
\(20\) | 4.47214i | 0.223607i | ||||||||
\(21\) | 3.99718 | + | 6.85730i | 0.190342 | + | 0.326538i | ||||
\(22\) | −20.7510 | −0.943228 | ||||||||
\(23\) | 22.7912i | 0.990924i | 0.868630 | + | 0.495462i | \(0.165001\pi\) | ||||
−0.868630 | + | 0.495462i | \(0.834999\pi\) | |||||||
\(24\) | 7.33076 | − | 4.27316i | 0.305448 | − | 0.178048i | ||||
\(25\) | −5.00000 | −0.200000 | ||||||||
\(26\) | 27.0273i | 1.03951i | ||||||||
\(27\) | 26.9979 | − | 0.336829i | 0.999922 | − | 0.0124751i | ||||
\(28\) | 5.29150 | 0.188982 | ||||||||
\(29\) | − | 51.5923i | − | 1.77904i | −0.456891 | − | 0.889522i | \(-0.651037\pi\) | ||
0.456891 | − | 0.889522i | \(-0.348963\pi\) | |||||||
\(30\) | 4.77754 | + | 8.19604i | 0.159251 | + | 0.273201i | ||||
\(31\) | −38.6980 | −1.24832 | −0.624162 | − | 0.781295i | \(-0.714560\pi\) | ||||
−0.624162 | + | 0.781295i | \(0.714560\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | −38.0302 | + | 22.1681i | −1.15243 | + | 0.671761i | ||||
\(34\) | 42.1310 | 1.23915 | ||||||||
\(35\) | 5.91608i | 0.169031i | ||||||||
\(36\) | 8.87004 | − | 15.6628i | 0.246390 | − | 0.435077i | ||||
\(37\) | −29.2081 | −0.789409 | −0.394705 | − | 0.918808i | \(-0.629153\pi\) | ||||
−0.394705 | + | 0.918808i | \(0.629153\pi\) | |||||||
\(38\) | − | 20.8224i | − | 0.547959i | ||||||
\(39\) | 28.8731 | + | 49.5328i | 0.740335 | + | 1.27007i | ||||
\(40\) | 6.32456 | 0.158114 | ||||||||
\(41\) | − | 28.6850i | − | 0.699635i | −0.936818 | − | 0.349817i | \(-0.886244\pi\) | ||
0.936818 | − | 0.349817i | \(-0.113756\pi\) | |||||||
\(42\) | 9.69769 | − | 5.65286i | 0.230897 | − | 0.134592i | ||||
\(43\) | −40.4802 | −0.941400 | −0.470700 | − | 0.882293i | \(-0.655999\pi\) | ||||
−0.470700 | + | 0.882293i | \(0.655999\pi\) | |||||||
\(44\) | 29.3464i | 0.666963i | ||||||||
\(45\) | 17.5115 | + | 9.91701i | 0.389145 | + | 0.220378i | ||||
\(46\) | 32.2317 | 0.700689 | ||||||||
\(47\) | − | 10.5901i | − | 0.225321i | −0.993634 | − | 0.112660i | \(-0.964063\pi\) | ||
0.993634 | − | 0.112660i | \(-0.0359372\pi\) | |||||||
\(48\) | −6.04316 | − | 10.3673i | −0.125899 | − | 0.215985i | ||||
\(49\) | 7.00000 | 0.142857 | ||||||||
\(50\) | 7.07107i | 0.141421i | ||||||||
\(51\) | 77.2131 | − | 45.0082i | 1.51398 | − | 0.882513i | ||||
\(52\) | 38.2224 | 0.735047 | ||||||||
\(53\) | − | 95.5975i | − | 1.80373i | −0.432022 | − | 0.901863i | \(-0.642200\pi\) | ||
0.432022 | − | 0.901863i | \(-0.357800\pi\) | |||||||
\(54\) | −0.476348 | − | 38.1808i | −0.00882126 | − | 0.707052i | ||||
\(55\) | −32.8102 | −0.596550 | ||||||||
\(56\) | − | 7.48331i | − | 0.133631i | ||||||
\(57\) | −22.2444 | − | 38.1611i | −0.390253 | − | 0.669492i | ||||
\(58\) | −72.9625 | −1.25797 | ||||||||
\(59\) | 11.1354i | 0.188735i | 0.995537 | + | 0.0943675i | \(0.0300829\pi\) | ||||
−0.995537 | + | 0.0943675i | \(0.969917\pi\) | |||||||
\(60\) | 11.5910 | − | 6.75646i | 0.193183 | − | 0.112608i | ||||
\(61\) | −104.131 | −1.70707 | −0.853533 | − | 0.521038i | \(-0.825545\pi\) | ||||
−0.853533 | + | 0.521038i | \(0.825545\pi\) | |||||||
\(62\) | 54.7273i | 0.882698i | ||||||||
\(63\) | 11.7340 | − | 20.7199i | 0.186253 | − | 0.328887i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 42.7340i | 0.657446i | ||||||||
\(66\) | 31.3504 | + | 53.7828i | 0.475007 | + | 0.814891i | ||||
\(67\) | 45.2575 | 0.675486 | 0.337743 | − | 0.941238i | \(-0.390337\pi\) | ||||
0.337743 | + | 0.941238i | \(0.390337\pi\) | |||||||
\(68\) | − | 59.5823i | − | 0.876210i | ||||||
\(69\) | 59.0707 | − | 34.4328i | 0.856097 | − | 0.499026i | ||||
\(70\) | 8.36660 | 0.119523 | ||||||||
\(71\) | − | 93.7964i | − | 1.32108i | −0.750792 | − | 0.660538i | \(-0.770328\pi\) | ||
0.750792 | − | 0.660538i | \(-0.229672\pi\) | |||||||
\(72\) | −22.1505 | − | 12.5441i | −0.307646 | − | 0.174224i | ||||
\(73\) | −62.8141 | −0.860468 | −0.430234 | − | 0.902717i | \(-0.641569\pi\) | ||||
−0.430234 | + | 0.902717i | \(0.641569\pi\) | |||||||
\(74\) | 41.3066i | 0.558197i | ||||||||
\(75\) | 7.55396 | + | 12.9591i | 0.100719 | + | 0.172788i | ||||
\(76\) | −29.4474 | −0.387465 | ||||||||
\(77\) | 38.8216i | 0.504176i | ||||||||
\(78\) | 70.0499 | − | 40.8327i | 0.898076 | − | 0.523496i | ||||
\(79\) | 122.486 | 1.55046 | 0.775231 | − | 0.631678i | \(-0.217634\pi\) | ||||
0.775231 | + | 0.631678i | \(0.217634\pi\) | |||||||
\(80\) | − | 8.94427i | − | 0.111803i | ||||||
\(81\) | −41.6612 | − | 69.4647i | −0.514336 | − | 0.857589i | ||||
\(82\) | −40.5668 | −0.494717 | ||||||||
\(83\) | − | 68.2772i | − | 0.822617i | −0.911496 | − | 0.411309i | \(-0.865072\pi\) | ||
0.911496 | − | 0.411309i | \(-0.134928\pi\) | |||||||
\(84\) | −7.99435 | − | 13.7146i | −0.0951709 | − | 0.163269i | ||||
\(85\) | 66.6150 | 0.783706 | ||||||||
\(86\) | 57.2477i | 0.665671i | ||||||||
\(87\) | −133.718 | + | 77.9452i | −1.53699 | + | 0.895922i | ||||
\(88\) | 41.5020 | 0.471614 | ||||||||
\(89\) | 79.4213i | 0.892374i | 0.894940 | + | 0.446187i | \(0.147218\pi\) | ||||
−0.894940 | + | 0.446187i | \(0.852782\pi\) | |||||||
\(90\) | 14.0248 | − | 24.7650i | 0.155831 | − | 0.275167i | ||||
\(91\) | 50.5635 | 0.555643 | ||||||||
\(92\) | − | 45.5825i | − | 0.495462i | ||||||
\(93\) | 58.4647 | + | 100.298i | 0.628652 | + | 1.07848i | ||||
\(94\) | −14.9766 | −0.159326 | ||||||||
\(95\) | − | 32.9231i | − | 0.346559i | ||||||
\(96\) | −14.6615 | + | 8.54632i | −0.152724 | + | 0.0890242i | ||||
\(97\) | −28.2049 | −0.290773 | −0.145386 | − | 0.989375i | \(-0.546442\pi\) | ||||
−0.145386 | + | 0.989375i | \(0.546442\pi\) | |||||||
\(98\) | − | 9.89949i | − | 0.101015i | ||||||
\(99\) | 114.911 | + | 65.0759i | 1.16072 | + | 0.657332i | ||||
\(100\) | 10.0000 | 0.100000 | ||||||||
\(101\) | − | 10.6769i | − | 0.105712i | −0.998602 | − | 0.0528561i | \(-0.983168\pi\) | ||
0.998602 | − | 0.0528561i | \(-0.0168324\pi\) | |||||||
\(102\) | −63.6512 | − | 109.196i | −0.624031 | − | 1.07055i | ||||
\(103\) | 34.1042 | 0.331109 | 0.165554 | − | 0.986201i | \(-0.447059\pi\) | ||||
0.165554 | + | 0.986201i | \(0.447059\pi\) | |||||||
\(104\) | − | 54.0547i | − | 0.519757i | ||||||
\(105\) | 15.3334 | − | 8.93796i | 0.146032 | − | 0.0851234i | ||||
\(106\) | −135.195 | −1.27543 | ||||||||
\(107\) | − | 15.4338i | − | 0.144241i | −0.997396 | − | 0.0721205i | \(-0.977023\pi\) | ||
0.997396 | − | 0.0721205i | \(-0.0229766\pi\) | |||||||
\(108\) | −53.9958 | + | 0.673658i | −0.499961 | + | 0.00623757i | ||||
\(109\) | −31.7494 | −0.291278 | −0.145639 | − | 0.989338i | \(-0.546524\pi\) | ||||
−0.145639 | + | 0.989338i | \(0.546524\pi\) | |||||||
\(110\) | 46.4007i | 0.421824i | ||||||||
\(111\) | 44.1274 | + | 75.7021i | 0.397544 | + | 0.682001i | ||||
\(112\) | −10.5830 | −0.0944911 | ||||||||
\(113\) | − | 26.1742i | − | 0.231630i | −0.993271 | − | 0.115815i | \(-0.963052\pi\) | ||
0.993271 | − | 0.115815i | \(-0.0369480\pi\) | |||||||
\(114\) | −53.9679 | + | 31.4583i | −0.473403 | + | 0.275950i | ||||
\(115\) | 50.9628 | 0.443155 | ||||||||
\(116\) | 103.185i | 0.889522i | ||||||||
\(117\) | 84.7587 | − | 149.667i | 0.724433 | − | 1.27921i | ||||
\(118\) | 15.7478 | 0.133456 | ||||||||
\(119\) | − | 78.8199i | − | 0.662352i | ||||||
\(120\) | −9.55508 | − | 16.3921i | −0.0796257 | − | 0.136601i | ||||
\(121\) | −94.3023 | −0.779358 | ||||||||
\(122\) | 147.264i | 1.20708i | ||||||||
\(123\) | −74.3463 | + | 43.3371i | −0.604442 | + | 0.352334i | ||||
\(124\) | 77.3961 | 0.624162 | ||||||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −29.3024 | − | 16.5943i | −0.232558 | − | 0.131701i | ||||
\(127\) | 155.334 | 1.22311 | 0.611553 | − | 0.791204i | \(-0.290545\pi\) | ||||
0.611553 | + | 0.791204i | \(0.290545\pi\) | |||||||
\(128\) | 11.3137i | 0.0883883i | ||||||||
\(129\) | 61.1572 | + | 104.917i | 0.474086 | + | 0.813312i | ||||
\(130\) | 60.4350 | 0.464885 | ||||||||
\(131\) | 100.859i | 0.769912i | 0.922935 | + | 0.384956i | \(0.125783\pi\) | ||||
−0.922935 | + | 0.384956i | \(0.874217\pi\) | |||||||
\(132\) | 76.0604 | − | 44.3362i | 0.576215 | − | 0.335880i | ||||
\(133\) | −38.9552 | −0.292896 | ||||||||
\(134\) | − | 64.0038i | − | 0.477640i | ||||||
\(135\) | −0.753172 | − | 60.3691i | −0.00557905 | − | 0.447179i | ||||
\(136\) | −84.2620 | −0.619574 | ||||||||
\(137\) | 117.672i | 0.858920i | 0.903086 | + | 0.429460i | \(0.141296\pi\) | ||||
−0.903086 | + | 0.429460i | \(0.858704\pi\) | |||||||
\(138\) | −48.6953 | − | 83.5386i | −0.352865 | − | 0.605352i | ||||
\(139\) | −74.8843 | −0.538736 | −0.269368 | − | 0.963037i | \(-0.586815\pi\) | ||||
−0.269368 | + | 0.963037i | \(0.586815\pi\) | |||||||
\(140\) | − | 11.8322i | − | 0.0845154i | ||||||
\(141\) | −27.4475 | + | 15.9994i | −0.194663 | + | 0.113471i | ||||
\(142\) | −132.648 | −0.934142 | ||||||||
\(143\) | 280.422i | 1.96100i | ||||||||
\(144\) | −17.7401 | + | 31.3255i | −0.123195 | + | 0.217538i | ||||
\(145\) | −115.364 | −0.795613 | ||||||||
\(146\) | 88.8326i | 0.608443i | ||||||||
\(147\) | −10.5755 | − | 18.1427i | −0.0719424 | − | 0.123420i | ||||
\(148\) | 58.4163 | 0.394705 | ||||||||
\(149\) | 149.584i | 1.00392i | 0.864891 | + | 0.501960i | \(0.167388\pi\) | ||||
−0.864891 | + | 0.501960i | \(0.832612\pi\) | |||||||
\(150\) | 18.3269 | − | 10.6829i | 0.122179 | − | 0.0712194i | ||||
\(151\) | 202.607 | 1.34177 | 0.670884 | − | 0.741562i | \(-0.265915\pi\) | ||||
0.670884 | + | 0.741562i | \(0.265915\pi\) | |||||||
\(152\) | 41.6449i | 0.273979i | ||||||||
\(153\) | −233.306 | − | 132.124i | −1.52487 | − | 0.863557i | ||||
\(154\) | 54.9020 | 0.356507 | ||||||||
\(155\) | 86.5315i | 0.558268i | ||||||||
\(156\) | −57.7461 | − | 99.0655i | −0.370167 | − | 0.635036i | ||||
\(157\) | −79.2891 | −0.505026 | −0.252513 | − | 0.967594i | \(-0.581257\pi\) | ||||
−0.252513 | + | 0.967594i | \(0.581257\pi\) | |||||||
\(158\) | − | 173.222i | − | 1.09634i | ||||||
\(159\) | −247.771 | + | 144.428i | −1.55831 | + | 0.908351i | ||||
\(160\) | −12.6491 | −0.0790569 | ||||||||
\(161\) | − | 60.3000i | − | 0.374534i | ||||||
\(162\) | −98.2379 | + | 58.9178i | −0.606407 | + | 0.363690i | ||||
\(163\) | −72.9838 | −0.447753 | −0.223877 | − | 0.974617i | \(-0.571871\pi\) | ||||
−0.223877 | + | 0.974617i | \(0.571871\pi\) | |||||||
\(164\) | 57.3701i | 0.349817i | ||||||||
\(165\) | 49.5694 | + | 85.0381i | 0.300421 | + | 0.515382i | ||||
\(166\) | −96.5586 | −0.581678 | ||||||||
\(167\) | − | 113.145i | − | 0.677512i | −0.940874 | − | 0.338756i | \(-0.889994\pi\) | ||
0.940874 | − | 0.338756i | \(-0.110006\pi\) | |||||||
\(168\) | −19.3954 | + | 11.3057i | −0.115449 | + | 0.0672960i | ||||
\(169\) | 196.239 | 1.16118 | ||||||||
\(170\) | − | 94.2078i | − | 0.554164i | ||||||
\(171\) | −65.2998 | + | 115.307i | −0.381870 | + | 0.674309i | ||||
\(172\) | 80.9604 | 0.470700 | ||||||||
\(173\) | − | 115.843i | − | 0.669611i | −0.942287 | − | 0.334806i | \(-0.891329\pi\) | ||
0.942287 | − | 0.334806i | \(-0.108671\pi\) | |||||||
\(174\) | 110.231 | + | 189.105i | 0.633512 | + | 1.08681i | ||||
\(175\) | 13.2288 | 0.0755929 | ||||||||
\(176\) | − | 58.6927i | − | 0.333481i | ||||||
\(177\) | 28.8608 | − | 16.8232i | 0.163055 | − | 0.0950463i | ||||
\(178\) | 112.319 | 0.631004 | ||||||||
\(179\) | − | 76.5353i | − | 0.427572i | −0.976881 | − | 0.213786i | \(-0.931421\pi\) | ||
0.976881 | − | 0.213786i | \(-0.0685794\pi\) | |||||||
\(180\) | −35.0230 | − | 19.8340i | −0.194572 | − | 0.110189i | ||||
\(181\) | 38.3458 | 0.211855 | 0.105928 | − | 0.994374i | \(-0.466219\pi\) | ||||
0.105928 | + | 0.994374i | \(0.466219\pi\) | |||||||
\(182\) | − | 71.5076i | − | 0.392899i | ||||||
\(183\) | 157.320 | + | 269.889i | 0.859674 | + | 1.47480i | ||||
\(184\) | −64.4634 | −0.350344 | ||||||||
\(185\) | 65.3114i | 0.353035i | ||||||||
\(186\) | 141.843 | − | 82.6815i | 0.762597 | − | 0.444524i | ||||
\(187\) | 437.131 | 2.33760 | ||||||||
\(188\) | 21.1802i | 0.112660i | ||||||||
\(189\) | −71.4297 | + | 0.891165i | −0.377935 | + | 0.00471516i | ||||
\(190\) | −46.5604 | −0.245055 | ||||||||
\(191\) | 0.0103646i | 5.42648e-5i | 1.00000 | 2.71324e-5i | \(8.63652e-6\pi\) | |||||
−1.00000 | 2.71324e-5i | \(0.999991\pi\) | ||||||||
\(192\) | 12.0863 | + | 20.7345i | 0.0629496 | + | 0.107992i | ||||
\(193\) | 14.2760 | 0.0739689 | 0.0369844 | − | 0.999316i | \(-0.488225\pi\) | ||||
0.0369844 | + | 0.999316i | \(0.488225\pi\) | |||||||
\(194\) | 39.8878i | 0.205607i | ||||||||
\(195\) | 110.759 | − | 64.5621i | 0.567993 | − | 0.331088i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | − | 123.543i | − | 0.627120i | −0.949568 | − | 0.313560i | \(-0.898478\pi\) | ||
0.949568 | − | 0.313560i | \(-0.101522\pi\) | |||||||
\(198\) | 92.0312 | − | 162.509i | 0.464804 | − | 0.820753i | ||||
\(199\) | −187.525 | −0.942335 | −0.471167 | − | 0.882044i | \(-0.656167\pi\) | ||||
−0.471167 | + | 0.882044i | \(0.656167\pi\) | |||||||
\(200\) | − | 14.1421i | − | 0.0707107i | ||||||
\(201\) | −68.3747 | − | 117.299i | −0.340173 | − | 0.583578i | ||||
\(202\) | −15.0995 | −0.0747498 | ||||||||
\(203\) | 136.500i | 0.672416i | ||||||||
\(204\) | −154.426 | + | 90.0164i | −0.756992 | + | 0.441257i | ||||
\(205\) | −64.1417 | −0.312886 | ||||||||
\(206\) | − | 48.2307i | − | 0.234129i | ||||||
\(207\) | −178.487 | − | 101.080i | −0.862256 | − | 0.488307i | ||||
\(208\) | −76.4449 | −0.367523 | ||||||||
\(209\) | − | 216.043i | − | 1.03370i | ||||||
\(210\) | −12.6402 | − | 21.6847i | −0.0601914 | − | 0.103260i | ||||
\(211\) | −280.253 | −1.32821 | −0.664106 | − | 0.747638i | \(-0.731188\pi\) | ||||
−0.664106 | + | 0.747638i | \(0.731188\pi\) | |||||||
\(212\) | 191.195i | 0.901863i | ||||||||
\(213\) | −243.103 | + | 141.707i | −1.14133 | + | 0.665290i | ||||
\(214\) | −21.8267 | −0.101994 | ||||||||
\(215\) | 90.5165i | 0.421007i | ||||||||
\(216\) | 0.952696 | + | 76.3616i | 0.00441063 | + | 0.353526i | ||||
\(217\) | 102.385 | 0.471822 | ||||||||
\(218\) | 44.9004i | 0.205965i | ||||||||
\(219\) | 94.8990 | + | 162.803i | 0.433329 | + | 0.743391i | ||||
\(220\) | 65.6205 | 0.298275 | ||||||||
\(221\) | − | 569.345i | − | 2.57622i | ||||||
\(222\) | 107.059 | − | 62.4056i | 0.482248 | − | 0.281106i | ||||
\(223\) | −100.764 | −0.451858 | −0.225929 | − | 0.974144i | \(-0.572542\pi\) | ||||
−0.225929 | + | 0.974144i | \(0.572542\pi\) | |||||||
\(224\) | 14.9666i | 0.0668153i | ||||||||
\(225\) | 22.1751 | − | 39.1569i | 0.0985560 | − | 0.174031i | ||||
\(226\) | −37.0159 | −0.163787 | ||||||||
\(227\) | − | 154.057i | − | 0.678664i | −0.940667 | − | 0.339332i | \(-0.889799\pi\) | ||
0.940667 | − | 0.339332i | \(-0.110201\pi\) | |||||||
\(228\) | 44.4888 | + | 76.3221i | 0.195126 | + | 0.334746i | ||||
\(229\) | 395.080 | 1.72524 | 0.862621 | − | 0.505852i | \(-0.168822\pi\) | ||||
0.862621 | + | 0.505852i | \(0.168822\pi\) | |||||||
\(230\) | − | 72.0722i | − | 0.313358i | ||||||
\(231\) | 100.618 | − | 58.6513i | 0.435578 | − | 0.253902i | ||||
\(232\) | 145.925 | 0.628987 | ||||||||
\(233\) | − | 192.917i | − | 0.827972i | −0.910283 | − | 0.413986i | \(-0.864136\pi\) | ||
0.910283 | − | 0.413986i | \(-0.135864\pi\) | |||||||
\(234\) | −211.662 | − | 119.867i | −0.904537 | − | 0.512251i | ||||
\(235\) | −23.6801 | −0.100767 | ||||||||
\(236\) | − | 22.2707i | − | 0.0943675i | ||||||
\(237\) | −185.051 | − | 317.462i | −0.780808 | − | 1.33950i | ||||
\(238\) | −111.468 | −0.468354 | ||||||||
\(239\) | − | 312.840i | − | 1.30896i | −0.756081 | − | 0.654478i | \(-0.772888\pi\) | ||
0.756081 | − | 0.654478i | \(-0.227112\pi\) | |||||||
\(240\) | −23.1819 | + | 13.5129i | −0.0965913 | + | 0.0563039i | ||||
\(241\) | 328.130 | 1.36153 | 0.680767 | − | 0.732500i | \(-0.261647\pi\) | ||||
0.680767 | + | 0.732500i | \(0.261647\pi\) | |||||||
\(242\) | 133.364i | 0.551089i | ||||||||
\(243\) | −117.098 | + | 212.925i | −0.481886 | + | 0.876234i | ||||
\(244\) | 208.262 | 0.853533 | ||||||||
\(245\) | − | 15.6525i | − | 0.0638877i | ||||||
\(246\) | 61.2879 | + | 105.142i | 0.249138 | + | 0.427405i | ||||
\(247\) | −281.387 | −1.13922 | ||||||||
\(248\) | − | 109.455i | − | 0.441349i | ||||||
\(249\) | −176.962 | + | 103.153i | −0.710691 | + | 0.414268i | ||||
\(250\) | 15.8114 | 0.0632456 | ||||||||
\(251\) | 146.160i | 0.582310i | 0.956676 | + | 0.291155i | \(0.0940396\pi\) | ||||
−0.956676 | + | 0.291155i | \(0.905960\pi\) | |||||||
\(252\) | −23.4679 | + | 41.4398i | −0.0931267 | + | 0.164444i | ||||
\(253\) | 334.420 | 1.32182 | ||||||||
\(254\) | − | 219.676i | − | 0.864866i | ||||||
\(255\) | −100.641 | − | 172.654i | −0.394672 | − | 0.677074i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 306.185i | 1.19138i | 0.803214 | + | 0.595691i | \(0.203122\pi\) | ||||
−0.803214 | + | 0.595691i | \(0.796878\pi\) | |||||||
\(258\) | 148.375 | − | 86.4893i | 0.575099 | − | 0.335230i | ||||
\(259\) | 77.2775 | 0.298369 | ||||||||
\(260\) | − | 85.4680i | − | 0.328723i | ||||||
\(261\) | 404.039 | + | 228.813i | 1.54804 | + | 0.876678i | ||||
\(262\) | 142.635 | 0.544410 | ||||||||
\(263\) | − | 158.182i | − | 0.601452i | −0.953711 | − | 0.300726i | \(-0.902771\pi\) | ||
0.953711 | − | 0.300726i | \(-0.0972290\pi\) | |||||||
\(264\) | −62.7009 | − | 107.566i | −0.237503 | − | 0.407446i | ||||
\(265\) | −213.762 | −0.806651 | ||||||||
\(266\) | 55.0910i | 0.207109i | ||||||||
\(267\) | 205.845 | − | 119.989i | 0.770956 | − | 0.449397i | ||||
\(268\) | −90.5151 | −0.337743 | ||||||||
\(269\) | − | 158.158i | − | 0.587948i | −0.955813 | − | 0.293974i | \(-0.905022\pi\) | ||
0.955813 | − | 0.293974i | \(-0.0949779\pi\) | |||||||
\(270\) | −85.3749 | + | 1.06515i | −0.316203 | + | 0.00394499i | ||||
\(271\) | 361.490 | 1.33391 | 0.666956 | − | 0.745097i | \(-0.267597\pi\) | ||||
0.666956 | + | 0.745097i | \(0.267597\pi\) | |||||||
\(272\) | 119.165i | 0.438105i | ||||||||
\(273\) | −76.3909 | − | 131.051i | −0.279820 | − | 0.480042i | ||||
\(274\) | 166.413 | 0.607348 | ||||||||
\(275\) | 73.3659i | 0.266785i | ||||||||
\(276\) | −118.141 | + | 68.8656i | −0.428049 | + | 0.249513i | ||||
\(277\) | −77.1087 | −0.278371 | −0.139185 | − | 0.990266i | \(-0.544448\pi\) | ||||
−0.139185 | + | 0.990266i | \(0.544448\pi\) | |||||||
\(278\) | 105.902i | 0.380944i | ||||||||
\(279\) | 171.627 | − | 303.059i | 0.615149 | − | 1.08623i | ||||
\(280\) | −16.7332 | −0.0597614 | ||||||||
\(281\) | 96.2437i | 0.342504i | 0.985227 | + | 0.171252i | \(0.0547813\pi\) | ||||
−0.985227 | + | 0.171252i | \(0.945219\pi\) | |||||||
\(282\) | 22.6266 | + | 38.8167i | 0.0802361 | + | 0.137648i | ||||
\(283\) | 210.868 | 0.745118 | 0.372559 | − | 0.928008i | \(-0.378480\pi\) | ||||
0.372559 | + | 0.928008i | \(0.378480\pi\) | |||||||
\(284\) | 187.593i | 0.660538i | ||||||||
\(285\) | −85.3307 | + | 49.7400i | −0.299406 | + | 0.174526i | ||||
\(286\) | 396.577 | 1.38663 | ||||||||
\(287\) | 75.8935i | 0.264437i | ||||||||
\(288\) | 44.3010 | + | 25.0883i | 0.153823 | + | 0.0871120i | ||||
\(289\) | −598.512 | −2.07097 | ||||||||
\(290\) | 163.149i | 0.562583i | ||||||||
\(291\) | 42.6118 | + | 73.1020i | 0.146432 | + | 0.251210i | ||||
\(292\) | 125.628 | 0.430234 | ||||||||
\(293\) | 441.017i | 1.50518i | 0.658491 | + | 0.752588i | \(0.271195\pi\) | ||||
−0.658491 | + | 0.752588i | \(0.728805\pi\) | |||||||
\(294\) | −25.6577 | + | 14.9561i | −0.0872710 | + | 0.0508710i | ||||
\(295\) | 24.8994 | 0.0844048 | ||||||||
\(296\) | − | 82.6131i | − | 0.279098i | ||||||
\(297\) | −4.94235 | − | 396.145i | −0.0166409 | − | 1.33382i | ||||
\(298\) | 211.544 | 0.709879 | ||||||||
\(299\) | − | 435.569i | − | 1.45675i | ||||||
\(300\) | −15.1079 | − | 25.9182i | −0.0503597 | − | 0.0863939i | ||||
\(301\) | 107.101 | 0.355816 | ||||||||
\(302\) | − | 286.529i | − | 0.948773i | ||||||
\(303\) | −27.6726 | + | 16.1306i | −0.0913288 | + | 0.0532363i | ||||
\(304\) | 58.8947 | 0.193733 | ||||||||
\(305\) | 232.844i | 0.763423i | ||||||||
\(306\) | −186.852 | + | 329.944i | −0.610627 | + | 1.07825i | ||||
\(307\) | 253.872 | 0.826944 | 0.413472 | − | 0.910517i | \(-0.364316\pi\) | ||||
0.413472 | + | 0.910517i | \(0.364316\pi\) | |||||||
\(308\) | − | 77.6432i | − | 0.252088i | ||||||
\(309\) | −51.5244 | − | 88.3919i | −0.166745 | − | 0.286058i | ||||
\(310\) | 122.374 | 0.394755 | ||||||||
\(311\) | − | 402.715i | − | 1.29490i | −0.762106 | − | 0.647452i | \(-0.775835\pi\) | ||
0.762106 | − | 0.647452i | \(-0.224165\pi\) | |||||||
\(312\) | −140.100 | + | 81.6654i | −0.449038 | + | 0.261748i | ||||
\(313\) | 58.4446 | 0.186724 | 0.0933620 | − | 0.995632i | \(-0.470239\pi\) | ||||
0.0933620 | + | 0.995632i | \(0.470239\pi\) | |||||||
\(314\) | 112.132i | 0.357107i | ||||||||
\(315\) | −46.3311 | − | 26.2379i | −0.147083 | − | 0.0832950i | ||||
\(316\) | −244.973 | −0.775231 | ||||||||
\(317\) | 181.889i | 0.573783i | 0.957963 | + | 0.286891i | \(0.0926219\pi\) | ||||
−0.957963 | + | 0.286891i | \(0.907378\pi\) | |||||||
\(318\) | 204.252 | + | 350.401i | 0.642301 | + | 1.10189i | ||||
\(319\) | −757.023 | −2.37311 | ||||||||
\(320\) | 17.8885i | 0.0559017i | ||||||||
\(321\) | −40.0015 | + | 23.3172i | −0.124615 | + | 0.0726393i | ||||
\(322\) | −85.2770 | −0.264835 | ||||||||
\(323\) | 438.635i | 1.35800i | ||||||||
\(324\) | 83.3224 | + | 138.929i | 0.257168 | + | 0.428795i | ||||
\(325\) | 95.5561 | 0.294019 | ||||||||
\(326\) | 103.215i | 0.316609i | ||||||||
\(327\) | 47.9666 | + | 82.2885i | 0.146687 | + | 0.251647i | ||||
\(328\) | 81.1335 | 0.247358 | ||||||||
\(329\) | 28.0187i | 0.0851633i | ||||||||
\(330\) | 120.262 | − | 70.1017i | 0.364430 | − | 0.212429i | ||||
\(331\) | 359.994 | 1.08760 | 0.543798 | − | 0.839216i | \(-0.316986\pi\) | ||||
0.543798 | + | 0.839216i | \(0.316986\pi\) | |||||||
\(332\) | 136.554i | 0.411309i | ||||||||
\(333\) | 129.539 | − | 228.740i | 0.389005 | − | 0.686908i | ||||
\(334\) | −160.010 | −0.479073 | ||||||||
\(335\) | − | 101.199i | − | 0.302086i | ||||||
\(336\) | 15.9887 | + | 27.4292i | 0.0475854 | + | 0.0816345i | ||||
\(337\) | −637.901 | −1.89288 | −0.946441 | − | 0.322878i | \(-0.895350\pi\) | ||||
−0.946441 | + | 0.322878i | \(0.895350\pi\) | |||||||
\(338\) | − | 277.524i | − | 0.821076i | ||||||
\(339\) | −67.8388 | + | 39.5438i | −0.200114 | + | 0.116648i | ||||
\(340\) | −133.230 | −0.391853 | ||||||||
\(341\) | 567.823i | 1.66517i | ||||||||
\(342\) | 163.068 | + | 92.3479i | 0.476808 | + | 0.270023i | ||||
\(343\) | −18.5203 | −0.0539949 | ||||||||
\(344\) | − | 114.495i | − | 0.332835i | ||||||
\(345\) | −76.9941 | − | 132.086i | −0.223171 | − | 0.382858i | ||||
\(346\) | −163.826 | −0.473487 | ||||||||
\(347\) | 131.343i | 0.378509i | 0.981928 | + | 0.189255i | \(0.0606072\pi\) | ||||
−0.981928 | + | 0.189255i | \(0.939393\pi\) | |||||||
\(348\) | 267.436 | − | 155.890i | 0.768493 | − | 0.447961i | ||||
\(349\) | −462.012 | −1.32382 | −0.661908 | − | 0.749585i | \(-0.730253\pi\) | ||||
−0.661908 | + | 0.749585i | \(0.730253\pi\) | |||||||
\(350\) | − | 18.7083i | − | 0.0534522i | ||||||
\(351\) | −515.963 | + | 6.43721i | −1.46998 | + | 0.0183396i | ||||
\(352\) | −83.0041 | −0.235807 | ||||||||
\(353\) | 43.9668i | 0.124552i | 0.998059 | + | 0.0622759i | \(0.0198359\pi\) | ||||
−0.998059 | + | 0.0622759i | \(0.980164\pi\) | |||||||
\(354\) | −23.7916 | − | 40.8153i | −0.0672079 | − | 0.115298i | ||||
\(355\) | −209.735 | −0.590803 | ||||||||
\(356\) | − | 158.843i | − | 0.446187i | ||||||
\(357\) | −204.287 | + | 119.080i | −0.572232 | + | 0.333559i | ||||
\(358\) | −108.237 | −0.302339 | ||||||||
\(359\) | 106.165i | 0.295724i | 0.989008 | + | 0.147862i | \(0.0472392\pi\) | ||||
−0.989008 | + | 0.147862i | \(0.952761\pi\) | |||||||
\(360\) | −28.0495 | + | 49.5300i | −0.0779154 | + | 0.137583i | ||||
\(361\) | −144.213 | −0.399483 | ||||||||
\(362\) | − | 54.2291i | − | 0.149804i | ||||||
\(363\) | 142.471 | + | 244.414i | 0.392482 | + | 0.673317i | ||||
\(364\) | −101.127 | −0.277822 | ||||||||
\(365\) | 140.457i | 0.384813i | ||||||||
\(366\) | 381.680 | − | 222.484i | 1.04284 | − | 0.607881i | ||||
\(367\) | −181.497 | −0.494543 | −0.247272 | − | 0.968946i | \(-0.579534\pi\) | ||||
−0.247272 | + | 0.968946i | \(0.579534\pi\) | |||||||
\(368\) | 91.1650i | 0.247731i | ||||||||
\(369\) | 224.644 | + | 127.219i | 0.608790 | + | 0.344766i | ||||
\(370\) | 92.3643 | 0.249633 | ||||||||
\(371\) | 252.927i | 0.681744i | ||||||||
\(372\) | −116.929 | − | 200.596i | −0.314326 | − | 0.539238i | ||||
\(373\) | −12.3681 | −0.0331585 | −0.0165792 | − | 0.999863i | \(-0.505278\pi\) | ||||
−0.0165792 | + | 0.999863i | \(0.505278\pi\) | |||||||
\(374\) | − | 618.196i | − | 1.65293i | ||||||
\(375\) | 28.9774 | − | 16.8912i | 0.0772730 | − | 0.0450431i | ||||
\(376\) | 29.9533 | 0.0796630 | ||||||||
\(377\) | 985.992i | 2.61536i | ||||||||
\(378\) | 1.26030 | + | 101.017i | 0.00333412 | + | 0.267240i | ||||
\(379\) | −423.772 | −1.11813 | −0.559067 | − | 0.829123i | \(-0.688840\pi\) | ||||
−0.559067 | + | 0.829123i | \(0.688840\pi\) | |||||||
\(380\) | 65.8463i | 0.173280i | ||||||||
\(381\) | −234.678 | − | 402.598i | −0.615952 | − | 1.05669i | ||||
\(382\) | 0.0146577 | 3.83710e−5 | ||||||||
\(383\) | − | 485.717i | − | 1.26819i | −0.773255 | − | 0.634096i | \(-0.781373\pi\) | ||
0.773255 | − | 0.634096i | \(-0.218627\pi\) | |||||||
\(384\) | 29.3231 | − | 17.0926i | 0.0763621 | − | 0.0445121i | ||||
\(385\) | 86.8077 | 0.225475 | ||||||||
\(386\) | − | 20.1893i | − | 0.0523039i | ||||||
\(387\) | 179.531 | − | 317.016i | 0.463903 | − | 0.819163i | ||||
\(388\) | 56.4099 | 0.145386 | ||||||||
\(389\) | − | 205.829i | − | 0.529123i | −0.964369 | − | 0.264562i | \(-0.914773\pi\) | ||
0.964369 | − | 0.264562i | \(-0.0852273\pi\) | |||||||
\(390\) | −91.3046 | − | 156.636i | −0.234114 | − | 0.401632i | ||||
\(391\) | −678.977 | −1.73651 | ||||||||
\(392\) | 19.7990i | 0.0505076i | ||||||||
\(393\) | 261.407 | − | 152.376i | 0.665157 | − | 0.387726i | ||||
\(394\) | −174.716 | −0.443441 | ||||||||
\(395\) | − | 273.888i | − | 0.693387i | ||||||
\(396\) | −229.823 | − | 130.152i | −0.580360 | − | 0.328666i | ||||
\(397\) | −266.721 | −0.671842 | −0.335921 | − | 0.941890i | \(-0.609048\pi\) | ||||
−0.335921 | + | 0.941890i | \(0.609048\pi\) | |||||||
\(398\) | 265.200i | 0.666331i | ||||||||
\(399\) | 58.8532 | + | 100.965i | 0.147502 | + | 0.253044i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | 251.023i | 0.625991i | 0.949755 | + | 0.312996i | \(0.101333\pi\) | ||||
−0.949755 | + | 0.312996i | \(0.898667\pi\) | |||||||
\(402\) | −165.886 | + | 96.6964i | −0.412652 | + | 0.240538i | ||||
\(403\) | 739.567 | 1.83515 | ||||||||
\(404\) | 21.3538i | 0.0528561i | ||||||||
\(405\) | −155.328 | + | 93.1572i | −0.383525 | + | 0.230018i | ||||
\(406\) | 193.041 | 0.475470 | ||||||||
\(407\) | 428.576i | 1.05301i | ||||||||
\(408\) | 127.302 | + | 218.392i | 0.312016 | + | 0.535274i | ||||
\(409\) | 588.064 | 1.43781 | 0.718905 | − | 0.695109i | \(-0.244644\pi\) | ||||
0.718905 | + | 0.695109i | \(0.244644\pi\) | |||||||
\(410\) | 90.7100i | 0.221244i | ||||||||
\(411\) | 304.984 | − | 177.778i | 0.742054 | − | 0.432550i | ||||
\(412\) | −68.2084 | −0.165554 | ||||||||
\(413\) | − | 29.4614i | − | 0.0713351i | ||||||
\(414\) | −142.948 | + | 252.419i | −0.345285 | + | 0.609707i | ||||
\(415\) | −152.673 | −0.367886 | ||||||||
\(416\) | 108.109i | 0.259878i | ||||||||
\(417\) | 113.135 | + | 194.086i | 0.271306 | + | 0.465435i | ||||
\(418\) | −305.531 | −0.730936 | ||||||||
\(419\) | − | 21.3662i | − | 0.0509934i | −0.999675 | − | 0.0254967i | \(-0.991883\pi\) | ||
0.999675 | − | 0.0254967i | \(-0.00811673\pi\) | |||||||
\(420\) | −30.6668 | + | 17.8759i | −0.0730161 | + | 0.0425617i | ||||
\(421\) | 29.7516 | 0.0706688 | 0.0353344 | − | 0.999376i | \(-0.488750\pi\) | ||||
0.0353344 | + | 0.999376i | \(0.488750\pi\) | |||||||
\(422\) | 396.337i | 0.939188i | ||||||||
\(423\) | 82.9350 | + | 46.9672i | 0.196064 | + | 0.111034i | ||||
\(424\) | 270.390 | 0.637713 | ||||||||
\(425\) | − | 148.956i | − | 0.350484i | ||||||
\(426\) | 200.404 | + | 343.800i | 0.470431 | + | 0.807041i | ||||
\(427\) | 275.505 | 0.645210 | ||||||||
\(428\) | 30.8676i | 0.0721205i | ||||||||
\(429\) | 726.803 | − | 423.660i | 1.69418 | − | 0.987552i | ||||
\(430\) | 128.010 | 0.297697 | ||||||||
\(431\) | 44.2977i | 0.102779i | 0.998679 | + | 0.0513894i | \(0.0163650\pi\) | ||||
−0.998679 | + | 0.0513894i | \(0.983635\pi\) | |||||||
\(432\) | 107.992 | − | 1.34732i | 0.249981 | − | 0.00311879i | ||||
\(433\) | −742.259 | −1.71422 | −0.857112 | − | 0.515131i | \(-0.827743\pi\) | ||||
−0.857112 | + | 0.515131i | \(0.827743\pi\) | |||||||
\(434\) | − | 144.795i | − | 0.333629i | ||||||
\(435\) | 174.291 | + | 299.002i | 0.400668 | + | 0.687361i | ||||
\(436\) | 63.4987 | 0.145639 | ||||||||
\(437\) | 335.571i | 0.767897i | ||||||||
\(438\) | 230.238 | − | 134.208i | 0.525657 | − | 0.306410i | ||||
\(439\) | −339.668 | −0.773732 | −0.386866 | − | 0.922136i | \(-0.626442\pi\) | ||||
−0.386866 | + | 0.922136i | \(0.626442\pi\) | |||||||
\(440\) | − | 92.8013i | − | 0.210912i | ||||||
\(441\) | −31.0451 | + | 54.8197i | −0.0703972 | + | 0.124308i | ||||
\(442\) | −805.175 | −1.82166 | ||||||||
\(443\) | 7.56065i | 0.0170669i | 0.999964 | + | 0.00853347i | \(0.00271632\pi\) | ||||
−0.999964 | + | 0.00853347i | \(0.997284\pi\) | |||||||
\(444\) | −88.2548 | − | 151.404i | −0.198772 | − | 0.341001i | ||||
\(445\) | 177.591 | 0.399082 | ||||||||
\(446\) | 142.502i | 0.319512i | ||||||||
\(447\) | 387.695 | − | 225.990i | 0.867326 | − | 0.505571i | ||||
\(448\) | 21.1660 | 0.0472456 | ||||||||
\(449\) | − | 480.937i | − | 1.07113i | −0.844494 | − | 0.535564i | \(-0.820099\pi\) | ||
0.844494 | − | 0.535564i | \(-0.179901\pi\) | |||||||
\(450\) | −55.3763 | − | 31.3603i | −0.123058 | − | 0.0696896i | ||||
\(451\) | −420.901 | −0.933261 | ||||||||
\(452\) | 52.3484i | 0.115815i | ||||||||
\(453\) | −306.097 | − | 525.120i | −0.675710 | − | 1.15921i | ||||
\(454\) | −217.869 | −0.479888 | ||||||||
\(455\) | − | 113.064i | − | 0.248491i | ||||||
\(456\) | 107.936 | − | 62.9167i | 0.236701 | − | 0.137975i | ||||
\(457\) | 593.531 | 1.29876 | 0.649378 | − | 0.760466i | \(-0.275030\pi\) | ||||
0.649378 | + | 0.760466i | \(0.275030\pi\) | |||||||
\(458\) | − | 558.728i | − | 1.21993i | ||||||
\(459\) | 10.0345 | + | 804.298i | 0.0218617 | + | 1.75228i | ||||
\(460\) | −101.926 | −0.221577 | ||||||||
\(461\) | − | 211.732i | − | 0.459289i | −0.973275 | − | 0.229645i | \(-0.926244\pi\) | ||
0.973275 | − | 0.229645i | \(-0.0737564\pi\) | |||||||
\(462\) | −82.9455 | − | 142.296i | −0.179536 | − | 0.308000i | ||||
\(463\) | 618.360 | 1.33555 | 0.667776 | − | 0.744363i | \(-0.267247\pi\) | ||||
0.667776 | + | 0.744363i | \(0.267247\pi\) | |||||||
\(464\) | − | 206.369i | − | 0.444761i | ||||||
\(465\) | 224.274 | − | 130.731i | 0.482309 | − | 0.281142i | ||||
\(466\) | −272.827 | −0.585465 | ||||||||
\(467\) | − | 365.286i | − | 0.782197i | −0.920349 | − | 0.391099i | \(-0.872095\pi\) | ||
0.920349 | − | 0.391099i | \(-0.127905\pi\) | |||||||
\(468\) | −169.517 | + | 299.335i | −0.362217 | + | 0.639604i | ||||
\(469\) | −119.740 | −0.255310 | ||||||||
\(470\) | 33.4888i | 0.0712527i | ||||||||
\(471\) | 119.789 | + | 205.503i | 0.254330 | + | 0.436311i | ||||
\(472\) | −31.4956 | −0.0667279 | ||||||||
\(473\) | 593.974i | 1.25576i | ||||||||
\(474\) | −448.959 | + | 261.702i | −0.947172 | + | 0.552114i | ||||
\(475\) | −73.6184 | −0.154986 | ||||||||
\(476\) | 157.640i | 0.331176i | ||||||||
\(477\) | 748.661 | + | 423.977i | 1.56952 | + | 0.888840i | ||||
\(478\) | −442.423 | −0.925571 | ||||||||
\(479\) | 167.464i | 0.349611i | 0.984603 | + | 0.174805i | \(0.0559296\pi\) | ||||
−0.984603 | + | 0.174805i | \(0.944070\pi\) | |||||||
\(480\) | 19.1102 | + | 32.7842i | 0.0398128 | + | 0.0683003i | ||||
\(481\) | 558.203 | 1.16051 | ||||||||
\(482\) | − | 464.046i | − | 0.962750i | ||||||
\(483\) | −156.286 | + | 91.1006i | −0.323574 | + | 0.188614i | ||||
\(484\) | 188.605 | 0.389679 | ||||||||
\(485\) | 63.0682i | 0.130037i | ||||||||
\(486\) | 301.121 | + | 165.602i | 0.619591 | + | 0.340745i | ||||
\(487\) | −239.295 | −0.491366 | −0.245683 | − | 0.969350i | \(-0.579012\pi\) | ||||
−0.245683 | + | 0.969350i | \(0.579012\pi\) | |||||||
\(488\) | − | 294.527i | − | 0.603539i | ||||||
\(489\) | 110.263 | + | 189.161i | 0.225487 | + | 0.386831i | ||||
\(490\) | −22.1359 | −0.0451754 | ||||||||
\(491\) | 255.880i | 0.521140i | 0.965455 | + | 0.260570i | \(0.0839105\pi\) | ||||
−0.965455 | + | 0.260570i | \(0.916090\pi\) | |||||||
\(492\) | 148.693 | − | 86.6742i | 0.302221 | − | 0.176167i | ||||
\(493\) | 1536.99 | 3.11763 | ||||||||
\(494\) | 397.942i | 0.805551i | ||||||||
\(495\) | 145.514 | − | 256.950i | 0.293968 | − | 0.519090i | ||||
\(496\) | −154.792 | −0.312081 | ||||||||
\(497\) | 248.162i | 0.499320i | ||||||||
\(498\) | 145.880 | + | 250.262i | 0.292931 | + | 0.502534i | ||||
\(499\) | −78.1567 | −0.156627 | −0.0783133 | − | 0.996929i | \(-0.524953\pi\) | ||||
−0.0783133 | + | 0.996929i | \(0.524953\pi\) | |||||||
\(500\) | − | 22.3607i | − | 0.0447214i | ||||||
\(501\) | −293.250 | + | 170.938i | −0.585329 | + | 0.341193i | ||||
\(502\) | 206.701 | 0.411755 | ||||||||
\(503\) | − | 756.325i | − | 1.50363i | −0.659375 | − | 0.751814i | \(-0.729179\pi\) | ||
0.659375 | − | 0.751814i | \(-0.270821\pi\) | |||||||
\(504\) | 58.6047 | + | 33.1887i | 0.116279 | + | 0.0658505i | ||||
\(505\) | −23.8743 | −0.0472759 | ||||||||
\(506\) | − | 472.941i | − | 0.934667i | ||||||
\(507\) | −296.476 | − | 508.615i | −0.584765 | − | 1.00319i | ||||
\(508\) | −310.669 | −0.611553 | ||||||||
\(509\) | 797.969i | 1.56772i | 0.620938 | + | 0.783859i | \(0.286752\pi\) | ||||
−0.620938 | + | 0.783859i | \(0.713248\pi\) | |||||||
\(510\) | −244.169 | + | 142.328i | −0.478763 | + | 0.279075i | ||||
\(511\) | 166.191 | 0.325226 | ||||||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 397.508 | − | 4.95936i | 0.774870 | − | 0.00966737i | ||||
\(514\) | 433.011 | 0.842434 | ||||||||
\(515\) | − | 76.2594i | − | 0.148076i | ||||||
\(516\) | −122.314 | − | 209.835i | −0.237043 | − | 0.406656i | ||||
\(517\) | −155.390 | −0.300561 | ||||||||
\(518\) | − | 109.287i | − | 0.210979i | ||||||
\(519\) | −300.243 | + | 175.014i | −0.578503 | + | 0.337214i | ||||
\(520\) | −120.870 | −0.232442 | ||||||||
\(521\) | 22.5301i | 0.0432440i | 0.999766 | + | 0.0216220i | \(0.00688303\pi\) | ||||
−0.999766 | + | 0.0216220i | \(0.993117\pi\) | |||||||
\(522\) | 323.590 | − | 571.398i | 0.619905 | − | 1.09463i | ||||
\(523\) | 250.580 | 0.479121 | 0.239560 | − | 0.970881i | \(-0.422997\pi\) | ||||
0.239560 | + | 0.970881i | \(0.422997\pi\) | |||||||
\(524\) | − | 201.717i | − | 0.384956i | ||||||
\(525\) | −19.9859 | − | 34.2865i | −0.0380684 | − | 0.0653076i | ||||
\(526\) | −223.703 | −0.425291 | ||||||||
\(527\) | − | 1152.86i | − | 2.18759i | ||||||
\(528\) | −152.121 | + | 88.6724i | −0.288107 | + | 0.167940i | ||||
\(529\) | 9.55921 | 0.0180703 | ||||||||
\(530\) | 302.306i | 0.570388i | ||||||||
\(531\) | −87.2053 | − | 49.3856i | −0.164228 | − | 0.0930048i | ||||
\(532\) | 77.9104 | 0.146448 | ||||||||
\(533\) | 548.206i | 1.02853i | ||||||||
\(534\) | −169.690 | − | 291.109i | −0.317772 | − | 0.545149i | ||||
\(535\) | −34.5110 | −0.0645065 | ||||||||
\(536\) | 128.008i | 0.238820i | ||||||||
\(537\) | −198.365 | + | 115.629i | −0.369396 | + | 0.215324i | ||||
\(538\) | −223.669 | −0.415742 | ||||||||
\(539\) | − | 102.712i | − | 0.190561i | ||||||
\(540\) | 1.50634 | + | 120.738i | 0.00278953 | + | 0.223589i | ||||
\(541\) | −438.380 | −0.810314 | −0.405157 | − | 0.914247i | \(-0.632783\pi\) | ||||
−0.405157 | + | 0.914247i | \(0.632783\pi\) | |||||||
\(542\) | − | 511.224i | − | 0.943218i | ||||||
\(543\) | −57.9324 | − | 99.3851i | −0.106690 | − | 0.183030i | ||||
\(544\) | 168.524 | 0.309787 | ||||||||
\(545\) | 70.9937i | 0.130264i | ||||||||
\(546\) | −185.335 | + | 108.033i | −0.339441 | + | 0.197863i | ||||
\(547\) | −212.261 | −0.388045 | −0.194023 | − | 0.980997i | \(-0.562154\pi\) | ||||
−0.194023 | + | 0.980997i | \(0.562154\pi\) | |||||||
\(548\) | − | 235.344i | − | 0.429460i | ||||||
\(549\) | 461.823 | − | 815.490i | 0.841208 | − | 1.48541i | ||||
\(550\) | 103.755 | 0.188646 | ||||||||
\(551\) | − | 759.628i | − | 1.37864i | ||||||
\(552\) | 97.3907 | + | 167.077i | 0.176432 | + | 0.302676i | ||||
\(553\) | −324.069 | −0.586019 | ||||||||
\(554\) | 109.048i | 0.196838i | ||||||||
\(555\) | 169.275 | − | 98.6719i | 0.305000 | − | 0.177787i | ||||
\(556\) | 149.769 | 0.269368 | ||||||||
\(557\) | − | 303.846i | − | 0.545504i | −0.962084 | − | 0.272752i | \(-0.912066\pi\) | ||
0.962084 | − | 0.272752i | \(-0.0879338\pi\) | |||||||
\(558\) | −428.591 | − | 242.717i | −0.768083 | − | 0.434976i | ||||
\(559\) | 773.626 | 1.38395 | ||||||||
\(560\) | 23.6643i | 0.0422577i | ||||||||
\(561\) | −660.413 | − | 1132.96i | −1.17721 | − | 2.01954i | ||||
\(562\) | 136.109 | 0.242187 | ||||||||
\(563\) | − | 59.7131i | − | 0.106062i | −0.998593 | − | 0.0530312i | \(-0.983112\pi\) | ||
0.998593 | − | 0.0530312i | \(-0.0168883\pi\) | |||||||
\(564\) | 54.8951 | − | 31.9988i | 0.0973317 | − | 0.0567355i | ||||
\(565\) | −58.5273 | −0.103588 | ||||||||
\(566\) | − | 298.213i | − | 0.526878i | ||||||
\(567\) | 110.225 | + | 183.786i | 0.194401 | + | 0.324138i | ||||
\(568\) | 265.296 | 0.467071 | ||||||||
\(569\) | − | 125.358i | − | 0.220313i | −0.993914 | − | 0.110157i | \(-0.964865\pi\) | ||
0.993914 | − | 0.110157i | \(-0.0351352\pi\) | |||||||
\(570\) | 70.3430 | + | 120.676i | 0.123409 | + | 0.211712i | ||||
\(571\) | 865.616 | 1.51597 | 0.757983 | − | 0.652275i | \(-0.226185\pi\) | ||||
0.757983 | + | 0.652275i | \(0.226185\pi\) | |||||||
\(572\) | − | 560.845i | − | 0.980498i | ||||||
\(573\) | 0.0268631 | − | 0.0156587i | 4.68815e−5 | − | 2.73276e-5i | ||||
\(574\) | 107.330 | 0.186985 | ||||||||
\(575\) | − | 113.956i | − | 0.198185i | ||||||
\(576\) | 35.4802 | − | 62.6511i | 0.0615975 | − | 0.108769i | ||||
\(577\) | 176.822 | 0.306451 | 0.153225 | − | 0.988191i | \(-0.451034\pi\) | ||||
0.153225 | + | 0.988191i | \(0.451034\pi\) | |||||||
\(578\) | 846.423i | 1.46440i | ||||||||
\(579\) | −21.5680 | − | 37.0007i | −0.0372505 | − | 0.0639046i | ||||
\(580\) | 230.728 | 0.397807 | ||||||||
\(581\) | 180.645i | 0.310920i | ||||||||
\(582\) | 103.382 | − | 60.2621i | 0.177632 | − | 0.103543i | ||||
\(583\) | −1402.72 | −2.40604 | ||||||||
\(584\) | − | 177.665i | − | 0.304221i | ||||||
\(585\) | −334.666 | − | 189.526i | −0.572079 | − | 0.323976i | ||||
\(586\) | 623.692 | 1.06432 | ||||||||
\(587\) | 330.200i | 0.562521i | 0.959631 | + | 0.281260i | \(0.0907525\pi\) | ||||
−0.959631 | + | 0.281260i | \(0.909248\pi\) | |||||||
\(588\) | 21.1511 | + | 36.2854i | 0.0359712 | + | 0.0617099i | ||||
\(589\) | −569.778 | −0.967364 | ||||||||
\(590\) | − | 35.2131i | − | 0.0596832i | ||||||
\(591\) | −320.200 | + | 186.647i | −0.541793 | + | 0.315816i | ||||
\(592\) | −116.833 | −0.197352 | ||||||||
\(593\) | − | 996.327i | − | 1.68015i | −0.542473 | − | 0.840073i | \(-0.682512\pi\) | ||
0.542473 | − | 0.840073i | \(-0.317488\pi\) | |||||||
\(594\) | −560.234 | + | 6.98954i | −0.943154 | + | 0.0117669i | ||||
\(595\) | −176.247 | −0.296213 | ||||||||
\(596\) | − | 299.168i | − | 0.501960i | ||||||
\(597\) | 283.311 | + | 486.029i | 0.474557 | + | 0.814119i | ||||
\(598\) | −615.987 | −1.03008 | ||||||||
\(599\) | 416.236i | 0.694885i | 0.937701 | + | 0.347443i | \(0.112950\pi\) | ||||
−0.937701 | + | 0.347443i | \(0.887050\pi\) | |||||||
\(600\) | −36.6538 | + | 21.3658i | −0.0610897 | + | 0.0356097i | ||||
\(601\) | 1141.63 | 1.89955 | 0.949777 | − | 0.312929i | \(-0.101310\pi\) | ||||
0.949777 | + | 0.312929i | \(0.101310\pi\) | |||||||
\(602\) | − | 151.463i | − | 0.251600i | ||||||
\(603\) | −200.718 | + | 354.429i | −0.332866 | + | 0.587776i | ||||
\(604\) | −405.214 | −0.670884 | ||||||||
\(605\) | 210.866i | 0.348539i | ||||||||
\(606\) | 22.8121 | + | 39.1350i | 0.0376438 | + | 0.0645792i | ||||
\(607\) | −664.913 | −1.09541 | −0.547704 | − | 0.836672i | \(-0.684498\pi\) | ||||
−0.547704 | + | 0.836672i | \(0.684498\pi\) | |||||||
\(608\) | − | 83.2897i | − | 0.136990i | ||||||
\(609\) | 353.784 | − | 206.224i | 0.580926 | − | 0.338627i | ||||
\(610\) | 329.291 | 0.539822 | ||||||||
\(611\) | 202.389i | 0.331243i | ||||||||
\(612\) | 466.612 | + | 264.249i | 0.762437 | + | 0.431779i | ||||
\(613\) | −588.435 | −0.959927 | −0.479963 | − | 0.877289i | \(-0.659350\pi\) | ||||
−0.479963 | + | 0.877289i | \(0.659350\pi\) | |||||||
\(614\) | − | 359.029i | − | 0.584738i | ||||||
\(615\) | 96.9047 | + | 166.243i | 0.157569 | + | 0.270315i | ||||
\(616\) | −109.804 | −0.178253 | ||||||||
\(617\) | 631.416i | 1.02336i | 0.859175 | + | 0.511682i | \(0.170978\pi\) | ||||
−0.859175 | + | 0.511682i | \(0.829022\pi\) | |||||||
\(618\) | −125.005 | + | 72.8664i | −0.202273 | + | 0.117907i | ||||
\(619\) | −335.858 | −0.542582 | −0.271291 | − | 0.962497i | \(-0.587451\pi\) | ||||
−0.271291 | + | 0.962497i | \(0.587451\pi\) | |||||||
\(620\) | − | 173.063i | − | 0.279134i | ||||||
\(621\) | 7.67675 | + | 615.316i | 0.0123619 | + | 0.990847i | ||||
\(622\) | −569.525 | −0.915635 | ||||||||
\(623\) | − | 210.129i | − | 0.337286i | ||||||
\(624\) | 115.492 | + | 198.131i | 0.185084 | + | 0.317518i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | − | 82.6532i | − | 0.132034i | ||||||
\(627\) | −559.944 | + | 326.396i | −0.893053 | + | 0.520568i | ||||
\(628\) | 158.578 | 0.252513 | ||||||||
\(629\) | − | 870.144i | − | 1.38338i | ||||||
\(630\) | −37.1060 | + | 65.5221i | −0.0588985 | + | 0.104003i | ||||
\(631\) | −641.185 | −1.01614 | −0.508070 | − | 0.861316i | \(-0.669641\pi\) | ||||
−0.508070 | + | 0.861316i | \(0.669641\pi\) | |||||||
\(632\) | 346.444i | 0.548171i | ||||||||
\(633\) | 423.403 | + | 726.364i | 0.668884 | + | 1.14749i | ||||
\(634\) | 257.230 | 0.405726 | ||||||||
\(635\) | − | 347.338i | − | 0.546989i | ||||||
\(636\) | 495.542 | − | 288.856i | 0.779154 | − | 0.454175i | ||||
\(637\) | −133.779 | −0.210013 | ||||||||
\(638\) | 1070.59i | 1.67804i | ||||||||
\(639\) | 734.556 | + | 415.989i | 1.14954 | + | 0.651000i | ||||
\(640\) | 25.2982 | 0.0395285 | ||||||||
\(641\) | − | 358.234i | − | 0.558867i | −0.960165 | − | 0.279433i | \(-0.909853\pi\) | ||
0.960165 | − | 0.279433i | \(-0.0901466\pi\) | |||||||
\(642\) | 32.9755 | + | 56.5707i | 0.0513638 | + | 0.0881164i | ||||
\(643\) | −1218.12 | −1.89443 | −0.947213 | − | 0.320606i | \(-0.896114\pi\) | ||||
−0.947213 | + | 0.320606i | \(0.896114\pi\) | |||||||
\(644\) | 120.600i | 0.187267i | ||||||||
\(645\) | 234.602 | − | 136.752i | 0.363724 | − | 0.212018i | ||||
\(646\) | 620.324 | 0.960253 | ||||||||
\(647\) | − | 706.621i | − | 1.09215i | −0.837737 | − | 0.546075i | \(-0.816121\pi\) | ||
0.837737 | − | 0.546075i | \(-0.183879\pi\) | |||||||
\(648\) | 196.476 | − | 117.836i | 0.303204 | − | 0.181845i | ||||
\(649\) | 163.391 | 0.251758 | ||||||||
\(650\) | − | 135.137i | − | 0.207903i | ||||||
\(651\) | −154.683 | − | 265.364i | −0.237608 | − | 0.407625i | ||||
\(652\) | 145.968 | 0.223877 | ||||||||
\(653\) | − | 647.469i | − | 0.991531i | −0.868457 | − | 0.495765i | \(-0.834888\pi\) | ||
0.868457 | − | 0.495765i | \(-0.165112\pi\) | |||||||
\(654\) | 116.373 | − | 67.8351i | 0.177941 | − | 0.103723i | ||||
\(655\) | 225.526 | 0.344315 | ||||||||
\(656\) | − | 114.740i | − | 0.174909i | ||||||
\(657\) | 278.582 | − | 491.922i | 0.424021 | − | 0.748739i | ||||
\(658\) | 39.6245 | 0.0602196 | ||||||||
\(659\) | 925.263i | 1.40404i | 0.712157 | + | 0.702020i | \(0.247718\pi\) | ||||
−0.712157 | + | 0.702020i | \(0.752282\pi\) | |||||||
\(660\) | −99.1388 | − | 170.076i | −0.150210 | − | 0.257691i | ||||
\(661\) | 516.011 | 0.780652 | 0.390326 | − | 0.920677i | \(-0.372362\pi\) | ||||
0.390326 | + | 0.920677i | \(0.372362\pi\) | |||||||
\(662\) | − | 509.109i | − | 0.769047i | ||||||
\(663\) | −1475.64 | + | 860.161i | −2.22570 | + | 1.29738i | ||||
\(664\) | 193.117 | 0.290839 | ||||||||
\(665\) | 87.1065i | 0.130987i | ||||||||
\(666\) | −323.488 | − | 183.195i | −0.485717 | − | 0.275068i | ||||
\(667\) | 1175.85 | 1.76290 | ||||||||
\(668\) | 226.289i | 0.338756i | ||||||||
\(669\) | 152.234 | + | 261.163i | 0.227555 | + | 0.390378i | ||||
\(670\) | −143.117 | −0.213607 | ||||||||
\(671\) | 1527.93i | 2.27710i | ||||||||
\(672\) | 38.7908 | − | 22.6115i | 0.0577243 | − | 0.0336480i | ||||
\(673\) | 1260.47 | 1.87291 | 0.936457 | − | 0.350782i | \(-0.114084\pi\) | ||||
0.936457 | + | 0.350782i | \(0.114084\pi\) | |||||||
\(674\) | 902.128i | 1.33847i | ||||||||
\(675\) | −134.989 | + | 1.68414i | −0.199984 | + | 0.00249503i | ||||
\(676\) | −392.478 | −0.580588 | ||||||||
\(677\) | 364.477i | 0.538370i | 0.963088 | + | 0.269185i | \(0.0867543\pi\) | ||||
−0.963088 | + | 0.269185i | \(0.913246\pi\) | |||||||
\(678\) | 55.9233 | + | 95.9385i | 0.0824828 | + | 0.141502i | ||||
\(679\) | 74.6232 | 0.109902 | ||||||||
\(680\) | 188.416i | 0.277082i | ||||||||
\(681\) | −399.286 | + | 232.747i | −0.586324 | + | 0.341773i | ||||
\(682\) | 803.024 | 1.17745 | ||||||||
\(683\) | − | 335.908i | − | 0.491813i | −0.969294 | − | 0.245906i | \(-0.920914\pi\) | ||
0.969294 | − | 0.245906i | \(-0.0790856\pi\) | |||||||
\(684\) | 130.600 | − | 230.614i | 0.190935 | − | 0.337154i | ||||
\(685\) | 263.123 | 0.384121 | ||||||||
\(686\) | 26.1916i | 0.0381802i | ||||||||
\(687\) | −596.884 | − | 1023.98i | −0.868826 | − | 1.49050i | ||||
\(688\) | −161.921 | −0.235350 | ||||||||
\(689\) | 1826.98i | 2.65165i | ||||||||
\(690\) | −186.798 | + | 108.886i | −0.270722 | + | 0.157806i | ||||
\(691\) | 56.3269 | 0.0815150 | 0.0407575 | − | 0.999169i | \(-0.487023\pi\) | ||||
0.0407575 | + | 0.999169i | \(0.487023\pi\) | |||||||
\(692\) | 231.686i | 0.334806i | ||||||||
\(693\) | −304.027 | − | 172.175i | −0.438711 | − | 0.248448i | ||||
\(694\) | 185.747 | 0.267647 | ||||||||
\(695\) | 167.446i | 0.240930i | ||||||||
\(696\) | −220.462 | − | 378.211i | −0.316756 | − | 0.543407i | ||||
\(697\) | 854.560 | 1.22605 | ||||||||
\(698\) | 653.383i | 0.936079i | ||||||||
\(699\) | −500.007 | + | 291.458i | −0.715317 | + | 0.416964i | ||||
\(700\) | −26.4575 | −0.0377964 | ||||||||
\(701\) | 795.844i | 1.13530i | 0.823270 | + | 0.567649i | \(0.192147\pi\) | ||||
−0.823270 | + | 0.567649i | \(0.807853\pi\) | |||||||
\(702\) | 9.10359 | + | 729.682i | 0.0129681 | + | 1.03943i | ||||
\(703\) | −430.051 | −0.611737 | ||||||||
\(704\) | 117.385i | 0.166741i | ||||||||
\(705\) | 35.7758 | + | 61.3746i | 0.0507458 | + | 0.0870561i | ||||
\(706\) | 62.1784 | 0.0880714 | ||||||||
\(707\) | 28.2485i | 0.0399554i | ||||||||
\(708\) | −57.7216 | + | 33.6464i | −0.0815277 | + | 0.0475232i | ||||
\(709\) | 127.721 | 0.180142 | 0.0900712 | − | 0.995935i | \(-0.471291\pi\) | ||||
0.0900712 | + | 0.995935i | \(0.471291\pi\) | |||||||
\(710\) | 296.610i | 0.417761i | ||||||||
\(711\) | −543.230 | + | 959.238i | −0.764036 | + | 1.34914i | ||||
\(712\) | −224.637 | −0.315502 | ||||||||
\(713\) | − | 881.977i | − | 1.23699i | ||||||
\(714\) | 168.405 | + | 288.905i | 0.235862 | + | 0.404629i | ||||
\(715\) | 627.044 | 0.876984 | ||||||||
\(716\) | 153.071i | 0.213786i | ||||||||
\(717\) | −810.825 | + | 472.637i | −1.13086 | + | 0.659186i | ||||
\(718\) | 150.140 | 0.209108 | ||||||||
\(719\) | 652.748i | 0.907855i | 0.891039 | + | 0.453927i | \(0.149977\pi\) | ||||
−0.891039 | + | 0.453927i | \(0.850023\pi\) | |||||||
\(720\) | 70.0460 | + | 39.6680i | 0.0972862 | + | 0.0550945i | ||||
\(721\) | −90.2313 | −0.125147 | ||||||||
\(722\) | 203.948i | 0.282477i | ||||||||
\(723\) | −495.736 | − | 850.452i | −0.685665 | − | 1.17628i | ||||
\(724\) | −76.6915 | −0.105928 | ||||||||
\(725\) | 257.962i | 0.355809i | ||||||||
\(726\) | 345.654 | − | 201.484i | 0.476107 | − | 0.277527i | ||||
\(727\) | 181.338 | 0.249433 | 0.124717 | − | 0.992192i | \(-0.460198\pi\) | ||||
0.124717 | + | 0.992192i | \(0.460198\pi\) | |||||||
\(728\) | 143.015i | 0.196450i | ||||||||
\(729\) | 728.773 | − | 18.1873i | 0.999689 | − | 0.0249483i | ||||
\(730\) | 198.636 | 0.272104 | ||||||||
\(731\) | − | 1205.95i | − | 1.64973i | ||||||
\(732\) | −314.641 | − | 539.777i | −0.429837 | − | 0.737400i | ||||
\(733\) | −980.665 | −1.33788 | −0.668939 | − | 0.743317i | \(-0.733251\pi\) | ||||
−0.668939 | + | 0.743317i | \(0.733251\pi\) | |||||||
\(734\) | 256.676i | 0.349695i | ||||||||
\(735\) | −40.5683 | + | 23.6476i | −0.0551950 | + | 0.0321736i | ||||
\(736\) | 128.927 | 0.175172 | ||||||||
\(737\) | − | 664.072i | − | 0.901047i | ||||||
\(738\) | 179.914 | − | 317.694i | 0.243786 | − | 0.430480i | ||||
\(739\) | 115.426 | 0.156193 | 0.0780963 | − | 0.996946i | \(-0.475116\pi\) | ||||
0.0780963 | + | 0.996946i | \(0.475116\pi\) | |||||||
\(740\) | − | 130.623i | − | 0.176517i | ||||||
\(741\) | 425.118 | + | 729.305i | 0.573708 | + | 0.984217i | ||||
\(742\) | 357.693 | 0.482066 | ||||||||
\(743\) | 131.260i | 0.176662i | 0.996091 | + | 0.0883311i | \(0.0281534\pi\) | ||||
−0.996091 | + | 0.0883311i | \(0.971847\pi\) | |||||||
\(744\) | −283.686 | + | 165.363i | −0.381299 | + | 0.222262i | ||||
\(745\) | 334.480 | 0.448967 | ||||||||
\(746\) | 17.4911i | 0.0234466i | ||||||||
\(747\) | 534.705 | + | 302.811i | 0.715804 | + | 0.405369i | ||||
\(748\) | −874.261 | −1.16880 | ||||||||
\(749\) | 40.8340i | 0.0545180i | ||||||||
\(750\) | −23.8877 | − | 40.9802i | −0.0318503 | − | 0.0546403i | ||||
\(751\) | −1088.21 | −1.44902 | −0.724508 | − | 0.689266i | \(-0.757933\pi\) | ||||
−0.724508 | + | 0.689266i | \(0.757933\pi\) | |||||||
\(752\) | − | 42.3603i | − | 0.0563302i | ||||||
\(753\) | 378.819 | − | 220.817i | 0.503080 | − | 0.293250i | ||||
\(754\) | 1394.40 | 1.84934 | ||||||||
\(755\) | − | 453.043i | − | 0.600057i | ||||||
\(756\) | 142.859 | − | 1.78233i | 0.188968 | − | 0.00235758i | ||||
\(757\) | −1115.02 | −1.47295 | −0.736473 | − | 0.676467i | \(-0.763510\pi\) | ||||
−0.736473 | + | 0.676467i | \(0.763510\pi\) | |||||||
\(758\) | 599.305i | 0.790639i | ||||||||
\(759\) | −505.239 | − | 866.755i | −0.665664 | − | 1.14197i | ||||
\(760\) | 93.1207 | 0.122527 | ||||||||
\(761\) | − | 632.008i | − | 0.830497i | −0.909708 | − | 0.415249i | \(-0.863695\pi\) | ||
0.909708 | − | 0.415249i | \(-0.136305\pi\) | |||||||
\(762\) | −569.360 | + | 331.885i | −0.747191 | + | 0.435544i | ||||
\(763\) | 84.0009 | 0.110093 | ||||||||
\(764\) | − | 0.0207292i | − | 2.71324e-5i | ||||||
\(765\) | −295.439 | + | 521.688i | −0.386195 | + | 0.681945i | ||||
\(766\) | −686.908 | −0.896746 | ||||||||
\(767\) | − | 212.810i | − | 0.277458i | ||||||
\(768\) | −24.1727 | − | 41.4691i | −0.0314748 | − | 0.0539962i | ||||
\(769\) | 183.616 | 0.238773 | 0.119386 | − | 0.992848i | \(-0.461907\pi\) | ||||
0.119386 | + | 0.992848i | \(0.461907\pi\) | |||||||
\(770\) | − | 122.765i | − | 0.159435i | ||||||
\(771\) | 793.575 | − | 462.582i | 1.02928 | − | 0.599976i | ||||
\(772\) | −28.5520 | −0.0369844 | ||||||||
\(773\) | − | 239.771i | − | 0.310182i | −0.987900 | − | 0.155091i | \(-0.950433\pi\) | ||
0.987900 | − | 0.155091i | \(-0.0495671\pi\) | |||||||
\(774\) | −448.329 | − | 253.895i | −0.579236 | − | 0.328029i | ||||
\(775\) | 193.490 | 0.249665 | ||||||||
\(776\) | − | 79.7756i | − | 0.102804i | ||||||
\(777\) | −116.750 | − | 200.289i | −0.150258 | − | 0.257772i | ||||
\(778\) | −291.086 | −0.374147 | ||||||||
\(779\) | − | 422.349i | − | 0.542168i | ||||||
\(780\) | −221.517 | + | 129.124i | −0.283997 | + | 0.165544i | ||||
\(781\) | −1376.29 | −1.76222 | ||||||||
\(782\) | 960.218i | 1.22790i | ||||||||
\(783\) | −17.3778 | − | 1392.88i | −0.0221938 | − | 1.77891i | ||||
\(784\) | 28.0000 | 0.0357143 | ||||||||
\(785\) | 177.296i | 0.225854i | ||||||||
\(786\) | −215.492 | − | 369.685i | −0.274163 | − | 0.470337i | ||||
\(787\) | −430.055 | −0.546449 | −0.273224 | − | 0.961950i | \(-0.588090\pi\) | ||||
−0.273224 | + | 0.961950i | \(0.588090\pi\) | |||||||
\(788\) | 247.085i | 0.313560i | ||||||||
\(789\) | −409.978 | + | 238.980i | −0.519618 | + | 0.302889i | ||||
\(790\) | −387.336 | −0.490299 | ||||||||
\(791\) | 69.2505i | 0.0875480i | ||||||||
\(792\) | −184.062 | + | 325.018i | −0.232402 | + | 0.410377i | ||||
\(793\) | 1990.07 | 2.50955 | ||||||||
\(794\) | 377.201i | 0.475064i | ||||||||
\(795\) | 322.950 | + | 554.033i | 0.406227 | + | 0.696897i | ||||
\(796\) | 375.049 | 0.471167 | ||||||||
\(797\) | − | 454.406i | − | 0.570146i | −0.958506 | − | 0.285073i | \(-0.907982\pi\) | ||
0.958506 | − | 0.285073i | \(-0.0920178\pi\) | |||||||
\(798\) | 142.786 | − | 83.2309i | 0.178929 | − | 0.104299i | ||||
\(799\) | 315.491 | 0.394857 | ||||||||
\(800\) | 28.2843i | 0.0353553i | ||||||||
\(801\) | −621.979 | − | 352.235i | −0.776503 | − | 0.439744i | ||||
\(802\) | 354.999 | 0.442643 | ||||||||
\(803\) | 921.683i | 1.14780i | ||||||||
\(804\) | 136.749 | + | 234.598i | 0.170086 | + | 0.291789i | ||||
\(805\) | −134.835 | −0.167497 | ||||||||
\(806\) | − | 1045.91i | − | 1.29765i | ||||||
\(807\) | −409.916 | + | 238.944i | −0.507951 | + | 0.296089i | ||||
\(808\) | 30.1989 | 0.0373749 | ||||||||
\(809\) | − | 1016.61i | − | 1.25662i | −0.777963 | − | 0.628310i | \(-0.783747\pi\) | ||
0.777963 | − | 0.628310i | \(-0.216253\pi\) | |||||||
\(810\) | 131.744 | + | 219.667i | 0.162647 | + | 0.271193i | ||||
\(811\) | 756.253 | 0.932494 | 0.466247 | − | 0.884654i | \(-0.345606\pi\) | ||||
0.466247 | + | 0.884654i | \(0.345606\pi\) | |||||||
\(812\) | − | 273.001i | − | 0.336208i | ||||||
\(813\) | −546.136 | − | 936.916i | −0.671754 | − | 1.15242i | ||||
\(814\) | 606.099 | 0.744593 | ||||||||
\(815\) | 163.197i | 0.200241i | ||||||||
\(816\) | 308.853 | − | 180.033i | 0.378496 | − | 0.220628i | ||||
\(817\) | −596.018 | −0.729520 | ||||||||
\(818\) | − | 831.648i | − | 1.01668i | ||||||
\(819\) | −224.250 | + | 395.983i | −0.273810 | + | 0.483495i | ||||
\(820\) | 128.283 | 0.156443 | ||||||||
\(821\) | 1207.04i | 1.47021i | 0.677955 | + | 0.735104i | \(0.262866\pi\) | ||||
−0.677955 | + | 0.735104i | \(0.737134\pi\) | |||||||
\(822\) | −251.416 | − | 431.313i | −0.305859 | − | 0.524712i | ||||
\(823\) | 169.449 | 0.205891 | 0.102946 | − | 0.994687i | \(-0.467173\pi\) | ||||
0.102946 | + | 0.994687i | \(0.467173\pi\) | |||||||
\(824\) | 96.4613i | 0.117065i | ||||||||
\(825\) | 190.151 | − | 110.841i | 0.230486 | − | 0.134352i | ||||
\(826\) | −41.6647 | −0.0504415 | ||||||||
\(827\) | − | 953.176i | − | 1.15257i | −0.817248 | − | 0.576285i | \(-0.804502\pi\) | ||
0.817248 | − | 0.576285i | \(-0.195498\pi\) | |||||||
\(828\) | 356.974 | + | 202.159i | 0.431128 | + | 0.244154i | ||||
\(829\) | −6.32036 | −0.00762407 | −0.00381204 | − | 0.999993i | \(-0.501213\pi\) | ||||
−0.00381204 | + | 0.999993i | \(0.501213\pi\) | |||||||
\(830\) | 215.912i | 0.260134i | ||||||||
\(831\) | 116.495 | + | 199.852i | 0.140187 | + | 0.240495i | ||||
\(832\) | 152.890 | 0.183762 | ||||||||
\(833\) | 208.538i | 0.250346i | ||||||||
\(834\) | 274.480 | − | 159.996i | 0.329112 | − | 0.191842i | ||||
\(835\) | −252.999 | −0.302993 | ||||||||
\(836\) | 432.086i | 0.516850i | ||||||||
\(837\) | −1044.77 | + | 13.0346i | −1.24823 | + | 0.0155730i | ||||
\(838\) | −30.2164 | −0.0360578 | ||||||||
\(839\) | 1230.70i | 1.46686i | 0.679764 | + | 0.733430i | \(0.262082\pi\) | ||||
−0.679764 | + | 0.733430i | \(0.737918\pi\) | |||||||
\(840\) | 25.2804 | + | 43.3694i | 0.0300957 | + | 0.0516302i | ||||
\(841\) | −1820.77 | −2.16500 | ||||||||
\(842\) | − | 42.0751i | − | 0.0499704i | ||||||
\(843\) | 249.446 | − | 145.404i | 0.295903 | − | 0.172484i | ||||
\(844\) | 560.506 | 0.664106 | ||||||||
\(845\) | − | 438.803i | − | 0.519294i | ||||||
\(846\) | 66.4217 | − | 117.288i | 0.0785127 | − | 0.138638i | ||||
\(847\) | 249.500 | 0.294569 | ||||||||
\(848\) | − | 382.390i | − | 0.450931i | ||||||
\(849\) | −318.578 | − | 546.532i | −0.375239 | − | 0.643737i | ||||
\(850\) | −210.655 | −0.247830 | ||||||||
\(851\) | − | 665.690i | − | 0.782244i | ||||||
\(852\) | 486.206 | − | 283.414i | 0.570664 | − | 0.332645i | ||||
\(853\) | 759.822 | 0.890764 | 0.445382 | − | 0.895341i | \(-0.353068\pi\) | ||||
0.445382 | + | 0.895341i | \(0.353068\pi\) | |||||||
\(854\) | − | 389.623i | − | 0.456233i | ||||||
\(855\) | 257.834 | + | 146.015i | 0.301560 | + | 0.170778i | ||||
\(856\) | 43.6533 | 0.0509969 | ||||||||
\(857\) | 531.002i | 0.619606i | 0.950801 | + | 0.309803i | \(0.100263\pi\) | ||||
−0.950801 | + | 0.309803i | \(0.899737\pi\) | |||||||
\(858\) | −599.145 | − | 1027.86i | −0.698305 | − | 1.19797i | ||||
\(859\) | 765.291 | 0.890910 | 0.445455 | − | 0.895304i | \(-0.353042\pi\) | ||||
0.445455 | + | 0.895304i | \(0.353042\pi\) | |||||||
\(860\) | − | 181.033i | − | 0.210504i | ||||||
\(861\) | 196.702 | − | 114.659i | 0.228457 | − | 0.133170i | ||||
\(862\) | 62.6464 | 0.0726756 | ||||||||
\(863\) | − | 1329.43i | − | 1.54048i | −0.637754 | − | 0.770240i | \(-0.720136\pi\) | ||
0.637754 | − | 0.770240i | \(-0.279864\pi\) | |||||||
\(864\) | −1.90539 | − | 152.723i | −0.00220531 | − | 0.176763i | ||||
\(865\) | −259.032 | −0.299459 | ||||||||
\(866\) | 1049.71i | 1.21214i | ||||||||
\(867\) | 904.226 | + | 1551.23i | 1.04294 | + | 1.78919i | ||||
\(868\) | −204.771 | −0.235911 | ||||||||
\(869\) | − | 1797.27i | − | 2.06820i | ||||||
\(870\) | 422.853 | − | 246.484i | 0.486038 | − | 0.283315i | ||||
\(871\) | −864.927 | −0.993027 | ||||||||
\(872\) | − | 89.8007i | − | 0.102982i | ||||||
\(873\) | 125.089 | − | 220.884i | 0.143287 | − | 0.253017i | ||||
\(874\) | 474.569 | 0.542985 | ||||||||
\(875\) | − | 29.5804i | − | 0.0338062i | ||||||
\(876\) | −189.798 | − | 325.605i | −0.216664 | − | 0.371696i | ||||
\(877\) | −919.329 | −1.04827 | −0.524133 | − | 0.851637i | \(-0.675610\pi\) | ||||
−0.524133 | + | 0.851637i | \(0.675610\pi\) | |||||||
\(878\) | 480.364i | 0.547111i | ||||||||
\(879\) | 1143.03 | − | 666.284i | 1.30038 | − | 0.758002i | ||||
\(880\) | −131.241 | −0.149137 | ||||||||
\(881\) | 832.315i | 0.944739i | 0.881401 | + | 0.472369i | \(0.156601\pi\) | ||||
−0.881401 | + | 0.472369i | \(0.843399\pi\) | |||||||
\(882\) | 77.5268 | + | 43.9045i | 0.0878988 | + | 0.0497783i | ||||
\(883\) | 1425.51 | 1.61439 | 0.807196 | − | 0.590284i | \(-0.200984\pi\) | ||||
0.807196 | + | 0.590284i | \(0.200984\pi\) | |||||||
\(884\) | 1138.69i | 1.28811i | ||||||||
\(885\) | −37.6178 | − | 64.5347i | −0.0425060 | − | 0.0729206i | ||||
\(886\) | 10.6924 | 0.0120681 | ||||||||
\(887\) | − | 641.162i | − | 0.722843i | −0.932402 | − | 0.361422i | \(-0.882291\pi\) | ||
0.932402 | − | 0.361422i | \(-0.117709\pi\) | |||||||
\(888\) | −214.118 | + | 124.811i | −0.241124 | + | 0.140553i | ||||
\(889\) | −410.976 | −0.462290 | ||||||||
\(890\) | − | 251.152i | − | 0.282193i | ||||||
\(891\) | −1019.27 | + | 611.302i | −1.14396 | + | 0.686085i | ||||
\(892\) | 201.529 | 0.225929 | ||||||||
\(893\) | − | 155.925i | − | 0.174608i | ||||||
\(894\) | −319.599 | − | 548.283i | −0.357493 | − | 0.613292i | ||||
\(895\) | −171.138 | −0.191216 | ||||||||
\(896\) | − | 29.9333i | − | 0.0334077i | ||||||
\(897\) | −1128.91 | + | 658.053i | −1.25854 | + | 0.733615i | ||||
\(898\) | −680.147 | −0.757402 | ||||||||
\(899\) | 1996.52i | 2.22082i | ||||||||
\(900\) | −44.3502 | + | 78.3139i | −0.0492780 | + | 0.0870154i | ||||
\(901\) | 2847.96 | 3.16088 | ||||||||
\(902\) | 595.243i | 0.659915i | ||||||||
\(903\) | −161.807 | − | 277.585i | −0.179188 | − | 0.307403i | ||||
\(904\) | 74.0319 | 0.0818937 | ||||||||
\(905\) | − | 85.7437i | − | 0.0947444i | ||||||
\(906\) | −742.632 | + | 432.886i | −0.819682 | + | 0.477799i | ||||
\(907\) | 1569.63 | 1.73057 | 0.865287 | − | 0.501278i | \(-0.167136\pi\) | ||||
0.865287 | + | 0.501278i | \(0.167136\pi\) | |||||||
\(908\) | 308.113i | 0.339332i | ||||||||
\(909\) | 83.6151 | + | 47.3524i | 0.0919858 | + | 0.0520928i | ||||
\(910\) | −159.896 | −0.175710 | ||||||||
\(911\) | − | 1742.53i | − | 1.91277i | −0.292108 | − | 0.956385i | \(-0.594357\pi\) | ||
0.292108 | − | 0.956385i | \(-0.405643\pi\) | |||||||
\(912\) | −88.9776 | − | 152.644i | −0.0975632 | − | 0.167373i | ||||
\(913\) | −1001.84 | −1.09731 | ||||||||
\(914\) | − | 839.380i | − | 0.918359i | ||||||
\(915\) | 603.489 | − | 351.779i | 0.659551 | − | 0.384458i | ||||
\(916\) | −790.160 | −0.862621 | ||||||||
\(917\) | − | 266.847i | − | 0.291000i | ||||||
\(918\) | 1137.45 | − | 14.1909i | 1.23905 | − | 0.0154585i | ||||
\(919\) | −944.373 | −1.02761 | −0.513805 | − | 0.857907i | \(-0.671764\pi\) | ||||
−0.513805 | + | 0.857907i | \(0.671764\pi\) | |||||||
\(920\) | 144.144i | 0.156679i | ||||||||
\(921\) | −383.547 | − | 657.989i | −0.416447 | − | 0.714429i | ||||
\(922\) | −299.435 | −0.324767 | ||||||||
\(923\) | 1792.56i | 1.94211i | ||||||||
\(924\) | −201.237 | + | 117.303i | −0.217789 | + | 0.126951i | ||||
\(925\) | 146.041 | 0.157882 | ||||||||
\(926\) | − | 874.494i | − | 0.944377i | ||||||
\(927\) | −151.253 | + | 267.083i | −0.163164 | + | 0.288116i | ||||
\(928\) | −291.850 | −0.314494 | ||||||||
\(929\) | − | 600.958i | − | 0.646887i | −0.946248 | − | 0.323443i | \(-0.895159\pi\) | ||
0.946248 | − | 0.323443i | \(-0.104841\pi\) | |||||||
\(930\) | −184.881 | − | 317.171i | −0.198797 | − | 0.341044i | ||||
\(931\) | 103.066 | 0.110704 | ||||||||
\(932\) | 385.835i | 0.413986i | ||||||||
\(933\) | −1043.76 | + | 608.418i | −1.11872 | + | 0.652110i | ||||
\(934\) | −516.593 | −0.553097 | ||||||||
\(935\) | − | 977.454i | − | 1.04541i | ||||||
\(936\) | 423.323 | + | 239.734i | 0.452268 | + | 0.256126i | ||||
\(937\) | −19.4399 | −0.0207470 | −0.0103735 | − | 0.999946i | \(-0.503302\pi\) | ||||
−0.0103735 | + | 0.999946i | \(0.503302\pi\) | |||||||
\(938\) | 169.338i | 0.180531i | ||||||||
\(939\) | −88.2976 | − | 151.478i | −0.0940336 | − | 0.161318i | ||||
\(940\) | 47.3603 | 0.0503833 | ||||||||
\(941\) | 709.230i | 0.753698i | 0.926275 | + | 0.376849i | \(0.122992\pi\) | ||||
−0.926275 | + | 0.376849i | \(0.877008\pi\) | |||||||
\(942\) | 290.625 | − | 169.408i | 0.308519 | − | 0.179838i | ||||
\(943\) | 653.768 | 0.693285 | ||||||||
\(944\) | 44.5414i | 0.0471837i | ||||||||
\(945\) | 1.99271 | + | 159.722i | 0.00210868 | + | 0.169018i | ||||
\(946\) | 840.006 | 0.887955 | ||||||||
\(947\) | 228.266i | 0.241041i | 0.992711 | + | 0.120521i | \(0.0384564\pi\) | ||||
−0.992711 | + | 0.120521i | \(0.961544\pi\) | |||||||
\(948\) | 370.103 | + | 634.925i | 0.390404 | + | 0.669752i | ||||
\(949\) | 1200.45 | 1.26497 | ||||||||
\(950\) | 104.112i | 0.109592i | ||||||||
\(951\) | 471.423 | − | 274.796i | 0.495713 | − | 0.288955i | ||||
\(952\) | 222.936 | 0.234177 | ||||||||
\(953\) | 830.703i | 0.871672i | 0.900026 | + | 0.435836i | \(0.143547\pi\) | ||||
−0.900026 | + | 0.435836i | \(0.856453\pi\) | |||||||
\(954\) | 599.594 | − | 1058.77i | 0.628505 | − | 1.10982i | ||||
\(955\) | 0.0231759 | 2.42680e−5 | ||||||||
\(956\) | 625.681i | 0.654478i | ||||||||
\(957\) | 1143.70 | + | 1962.06i | 1.19509 | + | 2.05022i | ||||
\(958\) | 236.829 | 0.247212 | ||||||||
\(959\) | − | 311.331i | − | 0.324641i | ||||||
\(960\) | 46.3638 | − | 27.0259i | 0.0482956 | − | 0.0281519i | ||||
\(961\) | 536.539 | 0.558313 | ||||||||
\(962\) | − | 789.419i | − | 0.820602i | ||||||
\(963\) | 120.868 | + | 68.4491i | 0.125512 | + | 0.0710791i | ||||
\(964\) | −656.260 | −0.680767 | ||||||||
\(965\) | − | 31.9221i | − | 0.0330799i | ||||||
\(966\) | 128.836 | + | 221.022i | 0.133370 | + | 0.228802i | ||||
\(967\) | 1120.26 | 1.15849 | 0.579246 | − | 0.815153i | \(-0.303347\pi\) | ||||
0.579246 | + | 0.815153i | \(0.303347\pi\) | |||||||
\(968\) | − | 266.727i | − | 0.275544i | ||||||
\(969\) | 1136.86 | − | 662.686i | 1.17323 | − | 0.683886i | ||||
\(970\) | 89.1918 | 0.0919504 | ||||||||
\(971\) | − | 533.802i | − | 0.549745i | −0.961481 | − | 0.274872i | \(-0.911364\pi\) | ||
0.961481 | − | 0.274872i | \(-0.0886356\pi\) | |||||||
\(972\) | 234.197 | − | 425.850i | 0.240943 | − | 0.438117i | ||||
\(973\) | 198.125 | 0.203623 | ||||||||
\(974\) | 338.414i | 0.347448i | ||||||||
\(975\) | −144.365 | − | 247.664i | −0.148067 | − | 0.254014i | ||||
\(976\) | −416.524 | −0.426767 | ||||||||
\(977\) | 1232.14i | 1.26115i | 0.776129 | + | 0.630575i | \(0.217181\pi\) | ||||
−0.776129 | + | 0.630575i | \(0.782819\pi\) | |||||||
\(978\) | 267.513 | − | 155.936i | 0.273531 | − | 0.159444i | ||||
\(979\) | 1165.36 | 1.19036 | ||||||||
\(980\) | 31.3050i | 0.0319438i | ||||||||
\(981\) | 140.809 | − | 248.641i | 0.143536 | − | 0.253457i | ||||
\(982\) | 361.868 | 0.368502 | ||||||||
\(983\) | − | 1098.64i | − | 1.11764i | −0.829289 | − | 0.558820i | \(-0.811254\pi\) | ||
0.829289 | − | 0.558820i | \(-0.188746\pi\) | |||||||
\(984\) | −122.576 | − | 210.283i | −0.124569 | − | 0.213702i | ||||
\(985\) | −276.250 | −0.280457 | ||||||||
\(986\) | − | 2173.64i | − | 2.20450i | ||||||
\(987\) | 72.6194 | − | 42.3304i | 0.0735759 | − | 0.0428880i | ||||
\(988\) | 562.775 | 0.569610 | ||||||||
\(989\) | − | 922.595i | − | 0.932856i | ||||||
\(990\) | −363.382 | − | 205.788i | −0.367052 | − | 0.207867i | ||||
\(991\) | −1388.10 | −1.40070 | −0.700352 | − | 0.713798i | \(-0.746973\pi\) | ||||
−0.700352 | + | 0.713798i | \(0.746973\pi\) | |||||||
\(992\) | 218.909i | 0.220675i | ||||||||
\(993\) | −543.876 | − | 933.039i | −0.547710 | − | 0.939617i | ||||
\(994\) | 350.954 | 0.353073 | ||||||||
\(995\) | 419.318i | 0.421425i | ||||||||
\(996\) | 353.924 | − | 206.305i | 0.355345 | − | 0.207134i | ||||
\(997\) | −818.089 | −0.820551 | −0.410275 | − | 0.911962i | \(-0.634567\pi\) | ||||
−0.410275 | + | 0.911962i | \(0.634567\pi\) | |||||||
\(998\) | 110.530i | 0.110752i | ||||||||
\(999\) | −788.558 | + | 9.83814i | −0.789348 | + | 0.00984799i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 210.3.e.a.71.4 | ✓ | 16 | |
3.2 | odd | 2 | inner | 210.3.e.a.71.12 | yes | 16 | |
4.3 | odd | 2 | 1680.3.l.c.1121.10 | 16 | |||
5.2 | odd | 4 | 1050.3.c.c.449.18 | 32 | |||
5.3 | odd | 4 | 1050.3.c.c.449.15 | 32 | |||
5.4 | even | 2 | 1050.3.e.d.701.13 | 16 | |||
12.11 | even | 2 | 1680.3.l.c.1121.9 | 16 | |||
15.2 | even | 4 | 1050.3.c.c.449.16 | 32 | |||
15.8 | even | 4 | 1050.3.c.c.449.17 | 32 | |||
15.14 | odd | 2 | 1050.3.e.d.701.5 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.e.a.71.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
210.3.e.a.71.12 | yes | 16 | 3.2 | odd | 2 | inner | |
1050.3.c.c.449.15 | 32 | 5.3 | odd | 4 | |||
1050.3.c.c.449.16 | 32 | 15.2 | even | 4 | |||
1050.3.c.c.449.17 | 32 | 15.8 | even | 4 | |||
1050.3.c.c.449.18 | 32 | 5.2 | odd | 4 | |||
1050.3.e.d.701.5 | 16 | 15.14 | odd | 2 | |||
1050.3.e.d.701.13 | 16 | 5.4 | even | 2 | |||
1680.3.l.c.1121.9 | 16 | 12.11 | even | 2 | |||
1680.3.l.c.1121.10 | 16 | 4.3 | odd | 2 |