Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,4,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(6.78521965066\) |
Analytic rank: | \(0\) |
Dimension: | \(110\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 115.6 |
Dual form | 115.4.g.a.96.5 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.743310 | + | 1.62762i | −0.262800 | + | 0.575452i | −0.994328 | − | 0.106360i | \(-0.966080\pi\) |
0.731528 | + | 0.681812i | \(0.238808\pi\) | |||||||
\(3\) | 9.31398 | + | 2.73483i | 1.79248 | + | 0.526319i | 0.996839 | − | 0.0794537i | \(-0.0253176\pi\) |
0.795638 | + | 0.605772i | \(0.207136\pi\) | |||||||
\(4\) | 3.14224 | + | 3.62634i | 0.392780 | + | 0.453292i | ||||
\(5\) | 4.20627 | − | 2.70320i | 0.376220 | − | 0.241782i | ||||
\(6\) | −11.3745 | + | 13.1268i | −0.773934 | + | 0.893167i | ||||
\(7\) | −1.18121 | + | 8.21547i | −0.0637791 | + | 0.443594i | 0.932762 | + | 0.360493i | \(0.117391\pi\) |
−0.996541 | + | 0.0831009i | \(0.973518\pi\) | |||||||
\(8\) | −21.9727 | + | 6.45176i | −0.971065 | + | 0.285130i | ||||
\(9\) | 56.5571 | + | 36.3470i | 2.09471 | + | 1.34619i | ||||
\(10\) | 1.27323 | + | 8.85554i | 0.0402632 | + | 0.280037i | ||||
\(11\) | −12.5186 | − | 27.4119i | −0.343137 | − | 0.751364i | 0.656860 | − | 0.754013i | \(-0.271884\pi\) |
−0.999996 | + | 0.00264838i | \(0.999157\pi\) | |||||||
\(12\) | 19.3493 | + | 42.3691i | 0.465473 | + | 1.01924i | ||||
\(13\) | −11.2741 | − | 78.4134i | −0.240530 | − | 1.67292i | −0.649492 | − | 0.760368i | \(-0.725018\pi\) |
0.408963 | − | 0.912551i | \(-0.365891\pi\) | |||||||
\(14\) | −12.4937 | − | 8.02920i | −0.238505 | − | 0.153278i | ||||
\(15\) | 46.5699 | − | 13.6742i | 0.801620 | − | 0.235377i | ||||
\(16\) | 0.368500 | − | 2.56297i | 0.00575781 | − | 0.0400464i | ||||
\(17\) | −8.15688 | + | 9.41354i | −0.116373 | + | 0.134301i | −0.810947 | − | 0.585120i | \(-0.801047\pi\) |
0.694574 | + | 0.719421i | \(0.255593\pi\) | |||||||
\(18\) | −101.199 | + | 65.0365i | −1.32515 | + | 0.851625i | ||||
\(19\) | −73.8957 | − | 85.2802i | −0.892254 | − | 1.02972i | −0.999371 | − | 0.0354699i | \(-0.988707\pi\) |
0.107116 | − | 0.994246i | \(-0.465838\pi\) | |||||||
\(20\) | 23.0198 | + | 6.75923i | 0.257370 | + | 0.0755705i | ||||
\(21\) | −33.4697 | + | 73.2883i | −0.347794 | + | 0.761563i | ||||
\(22\) | 53.9215 | 0.522550 | ||||||||
\(23\) | 92.4421 | + | 60.1786i | 0.838065 | + | 0.545570i | ||||
\(24\) | −222.298 | −1.89068 | ||||||||
\(25\) | 10.3854 | − | 22.7408i | 0.0830830 | − | 0.181926i | ||||
\(26\) | 136.008 | + | 39.9354i | 1.02590 | + | 0.301230i | ||||
\(27\) | 255.734 | + | 295.132i | 1.82281 | + | 2.10364i | ||||
\(28\) | −33.5037 | + | 21.5315i | −0.226129 | + | 0.145324i | ||||
\(29\) | −137.124 | + | 158.250i | −0.878046 | + | 1.01332i | 0.121738 | + | 0.992562i | \(0.461153\pi\) |
−0.999785 | + | 0.0207574i | \(0.993392\pi\) | |||||||
\(30\) | −12.3595 | + | 85.9624i | −0.0752177 | + | 0.523150i | ||||
\(31\) | 66.4084 | − | 19.4993i | 0.384752 | − | 0.112973i | −0.0836359 | − | 0.996496i | \(-0.526653\pi\) |
0.468388 | + | 0.883523i | \(0.344835\pi\) | |||||||
\(32\) | −150.222 | − | 96.5419i | −0.829868 | − | 0.533324i | ||||
\(33\) | −41.6311 | − | 289.550i | −0.219607 | − | 1.52740i | ||||
\(34\) | −9.25860 | − | 20.2735i | −0.0467011 | − | 0.102261i | ||||
\(35\) | 17.2396 | + | 37.7495i | 0.0832579 | + | 0.182309i | ||||
\(36\) | 45.9093 | + | 319.306i | 0.212543 | + | 1.47827i | ||||
\(37\) | 56.4601 | + | 36.2847i | 0.250864 | + | 0.161221i | 0.660030 | − | 0.751240i | \(-0.270544\pi\) |
−0.409165 | + | 0.912460i | \(0.634180\pi\) | |||||||
\(38\) | 193.731 | − | 56.8847i | 0.827036 | − | 0.242840i | ||||
\(39\) | 109.440 | − | 761.173i | 0.449345 | − | 3.12526i | ||||
\(40\) | −74.9826 | + | 86.5345i | −0.296395 | + | 0.342058i | ||||
\(41\) | −212.484 | + | 136.555i | −0.809374 | + | 0.520153i | −0.878663 | − | 0.477443i | \(-0.841564\pi\) |
0.0692882 | + | 0.997597i | \(0.477927\pi\) | |||||||
\(42\) | −94.4074 | − | 108.952i | −0.346842 | − | 0.400277i | ||||
\(43\) | −100.522 | − | 29.5158i | −0.356498 | − | 0.104677i | 0.0985793 | − | 0.995129i | \(-0.468570\pi\) |
−0.455077 | + | 0.890452i | \(0.650388\pi\) | |||||||
\(44\) | 60.0685 | − | 131.532i | 0.205810 | − | 0.450662i | ||||
\(45\) | 336.148 | 1.11355 | ||||||||
\(46\) | −166.661 | + | 105.729i | −0.534193 | + | 0.338890i | ||||
\(47\) | −50.7819 | −0.157602 | −0.0788011 | − | 0.996890i | \(-0.525109\pi\) | ||||
−0.0788011 | + | 0.996890i | \(0.525109\pi\) | |||||||
\(48\) | 10.4415 | − | 22.8637i | 0.0313979 | − | 0.0687519i | ||||
\(49\) | 263.007 | + | 77.2259i | 0.766785 | + | 0.225149i | ||||
\(50\) | 29.2939 | + | 33.8069i | 0.0828556 | + | 0.0956205i | ||||
\(51\) | −101.717 | + | 65.3698i | −0.279280 | + | 0.179482i | ||||
\(52\) | 248.927 | − | 287.277i | 0.663846 | − | 0.766120i | ||||
\(53\) | 89.7864 | − | 624.478i | 0.232700 | − | 1.61846i | −0.453641 | − | 0.891185i | \(-0.649875\pi\) |
0.686341 | − | 0.727280i | \(-0.259216\pi\) | |||||||
\(54\) | −670.454 | + | 196.863i | −1.68958 | + | 0.496105i | ||||
\(55\) | −126.757 | − | 81.4615i | −0.310761 | − | 0.199714i | ||||
\(56\) | −27.0500 | − | 188.137i | −0.0645483 | − | 0.448944i | ||||
\(57\) | −455.036 | − | 996.390i | −1.05739 | − | 2.31535i | ||||
\(58\) | −155.645 | − | 340.815i | −0.352366 | − | 0.771574i | ||||
\(59\) | 4.07708 | + | 28.3567i | 0.00899644 | + | 0.0625716i | 0.993825 | − | 0.110958i | \(-0.0353919\pi\) |
−0.984829 | + | 0.173530i | \(0.944483\pi\) | |||||||
\(60\) | 195.921 | + | 125.911i | 0.421555 | + | 0.270917i | ||||
\(61\) | 817.001 | − | 239.893i | 1.71486 | − | 0.503527i | 0.730984 | − | 0.682395i | \(-0.239061\pi\) |
0.983873 | + | 0.178867i | \(0.0572433\pi\) | |||||||
\(62\) | −17.6246 | + | 122.582i | −0.0361021 | + | 0.251095i | ||||
\(63\) | −365.414 | + | 421.710i | −0.730758 | + | 0.843340i | ||||
\(64\) | 286.222 | − | 183.944i | 0.559027 | − | 0.359265i | ||||
\(65\) | −259.389 | − | 299.351i | −0.494974 | − | 0.571230i | ||||
\(66\) | 502.224 | + | 147.466i | 0.936659 | + | 0.275028i | ||||
\(67\) | 98.5586 | − | 215.813i | 0.179714 | − | 0.393519i | −0.798240 | − | 0.602340i | \(-0.794235\pi\) |
0.977954 | + | 0.208821i | \(0.0669625\pi\) | |||||||
\(68\) | −59.7675 | −0.106586 | ||||||||
\(69\) | 696.425 | + | 813.316i | 1.21507 | + | 1.41901i | ||||
\(70\) | −74.2563 | −0.126790 | ||||||||
\(71\) | −398.456 | + | 872.496i | −0.666028 | + | 1.45840i | 0.210768 | + | 0.977536i | \(0.432403\pi\) |
−0.876796 | + | 0.480862i | \(0.840324\pi\) | |||||||
\(72\) | −1477.21 | − | 433.749i | −2.41794 | − | 0.709970i | ||||
\(73\) | −82.8202 | − | 95.5796i | −0.132786 | − | 0.153243i | 0.685462 | − | 0.728108i | \(-0.259600\pi\) |
−0.818248 | + | 0.574865i | \(0.805055\pi\) | |||||||
\(74\) | −101.025 | + | 64.9249i | −0.158702 | + | 0.101991i | ||||
\(75\) | 158.921 | − | 183.405i | 0.244676 | − | 0.282371i | ||||
\(76\) | 77.0568 | − | 535.941i | 0.116303 | − | 0.808904i | ||||
\(77\) | 239.989 | − | 70.4671i | 0.355185 | − | 0.104292i | ||||
\(78\) | 1157.56 | + | 743.916i | 1.68035 | + | 1.07990i | ||||
\(79\) | 75.1633 | + | 522.772i | 0.107045 | + | 0.744512i | 0.970677 | + | 0.240389i | \(0.0772751\pi\) |
−0.863632 | + | 0.504123i | \(0.831816\pi\) | |||||||
\(80\) | −5.37823 | − | 11.7767i | −0.00751630 | − | 0.0164584i | ||||
\(81\) | 820.700 | + | 1797.08i | 1.12579 | + | 2.46513i | ||||
\(82\) | −64.3186 | − | 447.346i | −0.0866195 | − | 0.602452i | ||||
\(83\) | 299.599 | + | 192.540i | 0.396207 | + | 0.254627i | 0.723540 | − | 0.690282i | \(-0.242514\pi\) |
−0.327333 | + | 0.944909i | \(0.606150\pi\) | |||||||
\(84\) | −370.938 | + | 108.917i | −0.481817 | + | 0.141474i | ||||
\(85\) | −8.86329 | + | 61.6456i | −0.0113101 | + | 0.0786635i | ||||
\(86\) | 122.759 | − | 141.672i | 0.153924 | − | 0.177638i | ||||
\(87\) | −1709.96 | + | 1098.92i | −2.10721 | + | 1.35422i | ||||
\(88\) | 451.923 | + | 521.547i | 0.547445 | + | 0.631785i | ||||
\(89\) | −1365.69 | − | 401.002i | −1.62655 | − | 0.477597i | −0.663779 | − | 0.747929i | \(-0.731048\pi\) |
−0.962767 | + | 0.270332i | \(0.912867\pi\) | |||||||
\(90\) | −249.862 | + | 547.122i | −0.292642 | + | 0.640797i | ||||
\(91\) | 657.520 | 0.757437 | ||||||||
\(92\) | 72.2471 | + | 524.322i | 0.0818726 | + | 0.594178i | ||||
\(93\) | 671.854 | 0.749118 | ||||||||
\(94\) | 37.7467 | − | 82.6538i | 0.0414178 | − | 0.0906924i | ||||
\(95\) | −541.355 | − | 158.956i | −0.584651 | − | 0.171669i | ||||
\(96\) | −1135.14 | − | 1310.02i | −1.20682 | − | 1.39275i | ||||
\(97\) | −427.054 | + | 274.451i | −0.447019 | + | 0.287281i | −0.744719 | − | 0.667378i | \(-0.767417\pi\) |
0.297701 | + | 0.954659i | \(0.403780\pi\) | |||||||
\(98\) | −321.191 | + | 370.674i | −0.331073 | + | 0.382079i | ||||
\(99\) | 288.326 | − | 2005.35i | 0.292706 | − | 2.03581i | ||||
\(100\) | 115.099 | − | 33.7962i | 0.115099 | − | 0.0337962i | ||||
\(101\) | 920.388 | + | 591.498i | 0.906753 | + | 0.582735i | 0.908786 | − | 0.417263i | \(-0.137011\pi\) |
−0.00203267 | + | 0.999998i | \(0.500647\pi\) | |||||||
\(102\) | −30.7898 | − | 214.148i | −0.0298887 | − | 0.207880i | ||||
\(103\) | −468.102 | − | 1025.00i | −0.447800 | − | 0.980546i | −0.990100 | − | 0.140361i | \(-0.955174\pi\) |
0.542300 | − | 0.840185i | \(-0.317554\pi\) | |||||||
\(104\) | 753.628 | + | 1650.21i | 0.710570 | + | 1.55593i | ||||
\(105\) | 57.3310 | + | 398.746i | 0.0532850 | + | 0.370606i | ||||
\(106\) | 949.675 | + | 610.319i | 0.870195 | + | 0.559240i | ||||
\(107\) | −611.943 | + | 179.683i | −0.552885 | + | 0.162342i | −0.546229 | − | 0.837636i | \(-0.683937\pi\) |
−0.00665652 | + | 0.999978i | \(0.502119\pi\) | |||||||
\(108\) | −266.673 | + | 1854.75i | −0.237599 | + | 1.65253i | ||||
\(109\) | −52.9450 | + | 61.1017i | −0.0465248 | + | 0.0536925i | −0.778535 | − | 0.627601i | \(-0.784037\pi\) |
0.732010 | + | 0.681294i | \(0.238582\pi\) | |||||||
\(110\) | 226.808 | − | 145.761i | 0.196594 | − | 0.126343i | ||||
\(111\) | 426.635 | + | 492.364i | 0.364815 | + | 0.421019i | ||||
\(112\) | 20.6207 | + | 6.05480i | 0.0173971 | + | 0.00510825i | ||||
\(113\) | 406.198 | − | 889.449i | 0.338158 | − | 0.740463i | −0.661799 | − | 0.749681i | \(-0.730207\pi\) |
0.999958 | + | 0.00921807i | \(0.00293425\pi\) | |||||||
\(114\) | 1959.98 | 1.61025 | ||||||||
\(115\) | 551.511 | + | 3.23767i | 0.447206 | + | 0.00262535i | ||||
\(116\) | −1004.75 | −0.804209 | ||||||||
\(117\) | 2212.46 | − | 4844.61i | 1.74822 | − | 3.82807i | ||||
\(118\) | −49.1845 | − | 14.4419i | −0.0383712 | − | 0.0112668i | ||||
\(119\) | −67.7017 | − | 78.1319i | −0.0521530 | − | 0.0601877i | ||||
\(120\) | −935.044 | + | 600.916i | −0.711312 | + | 0.457132i | ||||
\(121\) | 276.921 | − | 319.584i | 0.208055 | − | 0.240109i | ||||
\(122\) | −216.830 | + | 1508.08i | −0.160909 | + | 1.11914i | ||||
\(123\) | −2352.52 | + | 690.763i | −1.72455 | + | 0.506374i | ||||
\(124\) | 279.382 | + | 179.548i | 0.202333 | + | 0.130031i | ||||
\(125\) | −17.7894 | − | 123.728i | −0.0127290 | − | 0.0885323i | ||||
\(126\) | −414.769 | − | 908.217i | −0.293258 | − | 0.642146i | ||||
\(127\) | −360.648 | − | 789.710i | −0.251987 | − | 0.551775i | 0.740792 | − | 0.671735i | \(-0.234451\pi\) |
−0.992779 | + | 0.119960i | \(0.961723\pi\) | |||||||
\(128\) | −116.665 | − | 811.426i | −0.0805615 | − | 0.560317i | ||||
\(129\) | −855.536 | − | 549.820i | −0.583921 | − | 0.375263i | ||||
\(130\) | 680.038 | − | 199.677i | 0.458794 | − | 0.134714i | ||||
\(131\) | −235.895 | + | 1640.69i | −0.157330 | + | 1.09426i | 0.746197 | + | 0.665726i | \(0.231878\pi\) |
−0.903527 | + | 0.428531i | \(0.859031\pi\) | |||||||
\(132\) | 919.193 | − | 1060.81i | 0.606102 | − | 0.699479i | ||||
\(133\) | 787.903 | − | 506.354i | 0.513683 | − | 0.330124i | ||||
\(134\) | 278.003 | + | 320.832i | 0.179222 | + | 0.206834i | ||||
\(135\) | 1873.49 | + | 550.105i | 1.19440 | + | 0.350708i | ||||
\(136\) | 118.495 | − | 259.467i | 0.0747120 | − | 0.163596i | ||||
\(137\) | −1543.90 | −0.962805 | −0.481403 | − | 0.876500i | \(-0.659873\pi\) | ||||
−0.481403 | + | 0.876500i | \(0.659873\pi\) | |||||||
\(138\) | −1841.43 | + | 528.971i | −1.13589 | + | 0.326297i | ||||
\(139\) | −550.248 | −0.335766 | −0.167883 | − | 0.985807i | \(-0.553693\pi\) | ||||
−0.167883 | + | 0.985807i | \(0.553693\pi\) | |||||||
\(140\) | −82.7214 | + | 181.135i | −0.0499374 | + | 0.109348i | ||||
\(141\) | −472.982 | − | 138.880i | −0.282498 | − | 0.0829489i | ||||
\(142\) | −1123.92 | − | 1297.07i | −0.664205 | − | 0.766534i | ||||
\(143\) | −2008.32 | + | 1290.67i | −1.17444 | + | 0.754765i | ||||
\(144\) | 113.998 | − | 131.560i | 0.0659709 | − | 0.0761345i | ||||
\(145\) | −149.000 | + | 1036.32i | −0.0853363 | + | 0.593527i | ||||
\(146\) | 217.129 | − | 63.7547i | 0.123080 | − | 0.0361396i | ||||
\(147\) | 2238.45 | + | 1438.56i | 1.25595 | + | 0.807147i | ||||
\(148\) | 45.8306 | + | 318.758i | 0.0254544 | + | 0.177039i | ||||
\(149\) | 561.263 | + | 1228.99i | 0.308593 | + | 0.675725i | 0.998855 | − | 0.0478343i | \(-0.0152319\pi\) |
−0.690262 | + | 0.723560i | \(0.742505\pi\) | |||||||
\(150\) | 180.386 | + | 394.991i | 0.0981899 | + | 0.215006i | ||||
\(151\) | 425.981 | + | 2962.76i | 0.229575 | + | 1.59673i | 0.699904 | + | 0.714237i | \(0.253226\pi\) |
−0.470329 | + | 0.882491i | \(0.655865\pi\) | |||||||
\(152\) | 2173.89 | + | 1397.08i | 1.16004 | + | 0.745513i | ||||
\(153\) | −803.484 | + | 235.924i | −0.424561 | + | 0.124662i | ||||
\(154\) | −63.6924 | + | 442.990i | −0.0333278 | + | 0.231800i | ||||
\(155\) | 226.621 | − | 261.535i | 0.117436 | − | 0.135529i | ||||
\(156\) | 3104.16 | − | 1994.92i | 1.59315 | − | 1.02386i | ||||
\(157\) | 2478.89 | + | 2860.80i | 1.26011 | + | 1.45424i | 0.836091 | + | 0.548590i | \(0.184835\pi\) |
0.424018 | + | 0.905654i | \(0.360619\pi\) | |||||||
\(158\) | −906.746 | − | 266.245i | −0.456562 | − | 0.134059i | ||||
\(159\) | 2544.11 | − | 5570.83i | 1.26894 | − | 2.77859i | ||||
\(160\) | −892.847 | −0.441161 | ||||||||
\(161\) | −603.589 | + | 688.371i | −0.295462 | + | 0.336964i | ||||
\(162\) | −3535.01 | −1.71442 | ||||||||
\(163\) | 355.352 | − | 778.113i | 0.170757 | − | 0.373905i | −0.804835 | − | 0.593499i | \(-0.797746\pi\) |
0.975591 | + | 0.219594i | \(0.0704733\pi\) | |||||||
\(164\) | −1162.87 | − | 341.449i | −0.553688 | − | 0.162577i | ||||
\(165\) | −957.825 | − | 1105.39i | −0.451919 | − | 0.521542i | ||||
\(166\) | −536.078 | + | 344.516i | −0.250649 | + | 0.161082i | ||||
\(167\) | 928.967 | − | 1072.09i | 0.430453 | − | 0.496769i | −0.498540 | − | 0.866867i | \(-0.666130\pi\) |
0.928993 | + | 0.370098i | \(0.120676\pi\) | |||||||
\(168\) | 262.579 | − | 1826.28i | 0.120586 | − | 0.838694i | ||||
\(169\) | −3913.54 | + | 1149.12i | −1.78131 | + | 0.523040i | ||||
\(170\) | −93.7475 | − | 60.2479i | −0.0422948 | − | 0.0271812i | ||||
\(171\) | −1079.64 | − | 7509.09i | −0.482821 | − | 3.35810i | ||||
\(172\) | −208.829 | − | 457.272i | −0.0925759 | − | 0.202713i | ||||
\(173\) | −4.16782 | − | 9.12625i | −0.00183164 | − | 0.00401073i | 0.908714 | − | 0.417419i | \(-0.137065\pi\) |
−0.910546 | + | 0.413409i | \(0.864338\pi\) | |||||||
\(174\) | −517.604 | − | 3600.01i | −0.225514 | − | 1.56848i | ||||
\(175\) | 174.559 | + | 112.182i | 0.0754024 | + | 0.0484582i | ||||
\(176\) | −74.8691 | + | 21.9835i | −0.0320652 | + | 0.00941518i | ||||
\(177\) | −39.5770 | + | 275.264i | −0.0168067 | + | 0.116893i | ||||
\(178\) | 1667.81 | − | 1924.76i | 0.702290 | − | 0.810486i | ||||
\(179\) | −3221.93 | + | 2070.61i | −1.34535 | + | 0.864607i | −0.997341 | − | 0.0728827i | \(-0.976780\pi\) |
−0.348014 | + | 0.937489i | \(0.613144\pi\) | |||||||
\(180\) | 1056.26 | + | 1218.99i | 0.437382 | + | 0.504766i | ||||
\(181\) | −3996.79 | − | 1173.56i | −1.64132 | − | 0.481936i | −0.674690 | − | 0.738102i | \(-0.735722\pi\) |
−0.966633 | + | 0.256166i | \(0.917541\pi\) | |||||||
\(182\) | −488.741 | + | 1070.19i | −0.199054 | + | 0.435868i | ||||
\(183\) | 8265.60 | 3.33886 | ||||||||
\(184\) | −2419.46 | − | 725.872i | −0.969374 | − | 0.290826i | ||||
\(185\) | 335.571 | 0.133360 | ||||||||
\(186\) | −499.396 | + | 1093.52i | −0.196868 | + | 0.431081i | ||||
\(187\) | 360.156 | + | 105.751i | 0.140841 | + | 0.0413546i | ||||
\(188\) | −159.569 | − | 184.152i | −0.0619030 | − | 0.0714398i | ||||
\(189\) | −2726.72 | + | 1752.36i | −1.04942 | + | 0.674420i | ||||
\(190\) | 661.115 | − | 762.968i | 0.252433 | − | 0.291324i | ||||
\(191\) | −251.148 | + | 1746.77i | −0.0951436 | + | 0.661738i | 0.885312 | + | 0.464997i | \(0.153945\pi\) |
−0.980456 | + | 0.196741i | \(0.936964\pi\) | |||||||
\(192\) | 3168.92 | − | 930.478i | 1.19113 | − | 0.349747i | ||||
\(193\) | −2593.21 | − | 1666.55i | −0.967167 | − | 0.621560i | −0.0411940 | − | 0.999151i | \(-0.513116\pi\) |
−0.925972 | + | 0.377591i | \(0.876753\pi\) | |||||||
\(194\) | −129.269 | − | 899.086i | −0.0478401 | − | 0.332735i | ||||
\(195\) | −1597.27 | − | 3497.54i | −0.586580 | − | 1.28443i | ||||
\(196\) | 546.385 | + | 1196.42i | 0.199120 | + | 0.436012i | ||||
\(197\) | 158.061 | + | 1099.34i | 0.0571642 | + | 0.397586i | 0.998236 | + | 0.0593777i | \(0.0189116\pi\) |
−0.941071 | + | 0.338208i | \(0.890179\pi\) | |||||||
\(198\) | 3049.64 | + | 1959.89i | 1.09459 | + | 0.703450i | ||||
\(199\) | 2929.22 | − | 860.096i | 1.04345 | − | 0.306385i | 0.285283 | − | 0.958443i | \(-0.407913\pi\) |
0.758169 | + | 0.652059i | \(0.226094\pi\) | |||||||
\(200\) | −81.4764 | + | 566.681i | −0.0288062 | + | 0.200352i | ||||
\(201\) | 1508.19 | − | 1740.54i | 0.529250 | − | 0.610787i | ||||
\(202\) | −1646.87 | + | 1058.38i | −0.573630 | + | 0.368650i | ||||
\(203\) | −1138.13 | − | 1313.47i | −0.393501 | − | 0.454124i | ||||
\(204\) | −556.674 | − | 163.454i | −0.191054 | − | 0.0560984i | ||||
\(205\) | −524.627 | + | 1148.77i | −0.178739 | + | 0.391384i | ||||
\(206\) | 2016.26 | 0.681939 | ||||||||
\(207\) | 3040.94 | + | 6763.52i | 1.02106 | + | 2.27100i | ||||
\(208\) | −205.126 | −0.0683794 | ||||||||
\(209\) | −1412.62 | + | 3093.21i | −0.467527 | + | 1.02374i | ||||
\(210\) | −691.622 | − | 203.079i | −0.227269 | − | 0.0667322i | ||||
\(211\) | 374.164 | + | 431.808i | 0.122078 | + | 0.140886i | 0.813499 | − | 0.581567i | \(-0.197560\pi\) |
−0.691420 | + | 0.722453i | \(0.743015\pi\) | |||||||
\(212\) | 2546.70 | − | 1636.66i | 0.825038 | − | 0.530220i | ||||
\(213\) | −6097.34 | + | 7036.70i | −1.96142 | + | 2.26360i | ||||
\(214\) | 162.408 | − | 1129.57i | 0.0518784 | − | 0.360822i | ||||
\(215\) | −502.609 | + | 147.579i | −0.159431 | + | 0.0468131i | ||||
\(216\) | −7523.28 | − | 4834.92i | −2.36988 | − | 1.52303i | ||||
\(217\) | 81.7536 | + | 568.609i | 0.0255751 | + | 0.177879i | ||||
\(218\) | −60.0961 | − | 131.592i | −0.0186707 | − | 0.0408832i | ||||
\(219\) | −509.992 | − | 1116.73i | −0.157361 | − | 0.344572i | ||||
\(220\) | −102.893 | − | 715.634i | −0.0315319 | − | 0.219309i | ||||
\(221\) | 830.109 | + | 533.479i | 0.252666 | + | 0.162379i | ||||
\(222\) | −1118.50 | + | 328.423i | −0.338149 | + | 0.0992896i | ||||
\(223\) | 416.613 | − | 2897.60i | 0.125105 | − | 0.870125i | −0.826530 | − | 0.562893i | \(-0.809688\pi\) |
0.951635 | − | 0.307232i | \(-0.0994027\pi\) | |||||||
\(224\) | 970.580 | − | 1120.11i | 0.289507 | − | 0.334109i | ||||
\(225\) | 1413.93 | − | 908.676i | 0.418942 | − | 0.269237i | ||||
\(226\) | 1145.76 | + | 1322.27i | 0.337233 | + | 0.389187i | ||||
\(227\) | 6278.49 | + | 1843.53i | 1.83576 | + | 0.539029i | 0.999950 | − | 0.00998500i | \(-0.00317838\pi\) |
0.835813 | + | 0.549014i | \(0.184997\pi\) | |||||||
\(228\) | 2183.42 | − | 4781.01i | 0.634211 | − | 1.38873i | ||||
\(229\) | −742.751 | −0.214334 | −0.107167 | − | 0.994241i | \(-0.534178\pi\) | ||||
−0.107167 | + | 0.994241i | \(0.534178\pi\) | |||||||
\(230\) | −415.214 | + | 895.245i | −0.119036 | + | 0.256655i | ||||
\(231\) | 2427.97 | 0.691552 | ||||||||
\(232\) | 1992.00 | − | 4361.87i | 0.563712 | − | 1.23436i | ||||
\(233\) | −2135.89 | − | 627.153i | −0.600543 | − | 0.176335i | −0.0326903 | − | 0.999466i | \(-0.510407\pi\) |
−0.567853 | + | 0.823130i | \(0.692226\pi\) | |||||||
\(234\) | 6240.66 | + | 7202.10i | 1.74344 | + | 2.01204i | ||||
\(235\) | −213.602 | + | 137.274i | −0.0592931 | + | 0.0381053i | ||||
\(236\) | −90.0198 | + | 103.888i | −0.0248296 | + | 0.0286549i | ||||
\(237\) | −729.625 | + | 5074.65i | −0.199976 | + | 1.39086i | ||||
\(238\) | 177.493 | − | 52.1165i | 0.0483409 | − | 0.0141942i | ||||
\(239\) | 4589.25 | + | 2949.33i | 1.24207 | + | 0.798228i | 0.985726 | − | 0.168359i | \(-0.0538466\pi\) |
0.256341 | + | 0.966586i | \(0.417483\pi\) | |||||||
\(240\) | −17.8855 | − | 124.396i | −0.00481043 | − | 0.0334573i | ||||
\(241\) | −314.772 | − | 689.254i | −0.0841338 | − | 0.184227i | 0.862889 | − | 0.505393i | \(-0.168653\pi\) |
−0.947023 | + | 0.321166i | \(0.895925\pi\) | |||||||
\(242\) | 314.324 | + | 688.274i | 0.0834939 | + | 0.182826i | ||||
\(243\) | 1228.71 | + | 8545.86i | 0.324369 | + | 2.25604i | ||||
\(244\) | 3437.15 | + | 2208.92i | 0.901807 | + | 0.579556i | ||||
\(245\) | 1315.04 | − | 386.130i | 0.342917 | − | 0.100689i | ||||
\(246\) | 624.353 | − | 4342.47i | 0.161818 | − | 1.12547i | ||||
\(247\) | −5853.99 | + | 6755.87i | −1.50802 | + | 1.74035i | ||||
\(248\) | −1333.37 | + | 856.903i | −0.341407 | + | 0.219409i | ||||
\(249\) | 2263.89 | + | 2612.67i | 0.576178 | + | 0.664944i | ||||
\(250\) | 214.605 | + | 63.0137i | 0.0542913 | + | 0.0159413i | ||||
\(251\) | −1095.68 | + | 2399.21i | −0.275533 | + | 0.603333i | −0.995920 | − | 0.0902394i | \(-0.971237\pi\) |
0.720387 | + | 0.693572i | \(0.243964\pi\) | |||||||
\(252\) | −2677.48 | −0.669307 | ||||||||
\(253\) | 492.366 | − | 3287.37i | 0.122351 | − | 0.816897i | ||||
\(254\) | 1553.42 | 0.383742 | ||||||||
\(255\) | −251.143 | + | 549.926i | −0.0616752 | + | 0.135050i | ||||
\(256\) | 4019.02 | + | 1180.09i | 0.981206 | + | 0.288108i | ||||
\(257\) | −1908.18 | − | 2202.16i | −0.463148 | − | 0.534501i | 0.475345 | − | 0.879799i | \(-0.342323\pi\) |
−0.938493 | + | 0.345298i | \(0.887778\pi\) | |||||||
\(258\) | 1530.83 | − | 983.804i | 0.369400 | − | 0.237399i | ||||
\(259\) | −364.787 | + | 420.986i | −0.0875164 | + | 0.100999i | ||||
\(260\) | 270.485 | − | 1881.27i | 0.0645184 | − | 0.448736i | ||||
\(261\) | −13507.3 | + | 3966.09i | −3.20337 | + | 0.940594i | ||||
\(262\) | −2495.08 | − | 1603.49i | −0.588345 | − | 0.378107i | ||||
\(263\) | 766.109 | + | 5328.40i | 0.179621 | + | 1.24929i | 0.857642 | + | 0.514248i | \(0.171929\pi\) |
−0.678021 | + | 0.735043i | \(0.737162\pi\) | |||||||
\(264\) | 2782.86 | + | 6093.61i | 0.648762 | + | 1.42059i | ||||
\(265\) | −1310.43 | − | 2869.43i | −0.303769 | − | 0.665162i | ||||
\(266\) | 238.497 | + | 1658.79i | 0.0549745 | + | 0.382356i | ||||
\(267\) | −11623.3 | − | 7469.85i | −2.66418 | − | 1.71216i | ||||
\(268\) | 1092.31 | − | 320.730i | 0.248967 | − | 0.0731034i | ||||
\(269\) | 608.954 | − | 4235.37i | 0.138024 | − | 0.959981i | −0.796641 | − | 0.604453i | \(-0.793392\pi\) |
0.934666 | − | 0.355528i | \(-0.115699\pi\) | |||||||
\(270\) | −2287.95 | + | 2640.43i | −0.515704 | + | 0.595154i | ||||
\(271\) | 2747.82 | − | 1765.92i | 0.615935 | − | 0.395837i | −0.195144 | − | 0.980775i | \(-0.562517\pi\) |
0.811078 | + | 0.584937i | \(0.198881\pi\) | |||||||
\(272\) | 21.1208 | + | 24.3747i | 0.00470823 | + | 0.00543358i | ||||
\(273\) | 6124.13 | + | 1798.21i | 1.35769 | + | 0.398653i | ||||
\(274\) | 1147.60 | − | 2512.89i | 0.253025 | − | 0.554048i | ||||
\(275\) | −753.380 | −0.165202 | ||||||||
\(276\) | −761.024 | + | 5081.11i | −0.165972 | + | 1.10814i | ||||
\(277\) | 1245.44 | 0.270148 | 0.135074 | − | 0.990835i | \(-0.456873\pi\) | ||||
0.135074 | + | 0.990835i | \(0.456873\pi\) | |||||||
\(278\) | 409.005 | − | 895.596i | 0.0882392 | − | 0.193217i | ||||
\(279\) | 4464.61 | + | 1310.93i | 0.958026 | + | 0.281302i | ||||
\(280\) | −622.352 | − | 718.232i | −0.132831 | − | 0.153295i | ||||
\(281\) | 1262.82 | − | 811.567i | 0.268092 | − | 0.172292i | −0.399688 | − | 0.916651i | \(-0.630881\pi\) |
0.667779 | + | 0.744359i | \(0.267245\pi\) | |||||||
\(282\) | 577.616 | − | 666.605i | 0.121974 | − | 0.140765i | ||||
\(283\) | 747.678 | − | 5200.22i | 0.157049 | − | 1.09230i | −0.746986 | − | 0.664840i | \(-0.768500\pi\) |
0.904035 | − | 0.427459i | \(-0.140591\pi\) | |||||||
\(284\) | −4416.01 | + | 1296.66i | −0.922683 | + | 0.270924i | ||||
\(285\) | −4607.45 | − | 2961.03i | −0.957620 | − | 0.615425i | ||||
\(286\) | −607.918 | − | 4228.17i | −0.125689 | − | 0.874184i | ||||
\(287\) | −870.875 | − | 1906.95i | −0.179115 | − | 0.392208i | ||||
\(288\) | −4987.12 | − | 10920.3i | −1.02038 | − | 2.23431i | ||||
\(289\) | 677.113 | + | 4709.42i | 0.137821 | + | 0.958564i | ||||
\(290\) | −1575.98 | − | 1012.82i | −0.319120 | − | 0.205086i | ||||
\(291\) | −4728.15 | + | 1388.31i | −0.952472 | + | 0.279671i | ||||
\(292\) | 86.3630 | − | 600.668i | 0.0173083 | − | 0.120382i | ||||
\(293\) | −1136.74 | + | 1311.87i | −0.226652 | + | 0.261570i | −0.857673 | − | 0.514196i | \(-0.828091\pi\) |
0.631021 | + | 0.775765i | \(0.282636\pi\) | |||||||
\(294\) | −4005.30 | + | 2574.05i | −0.794536 | + | 0.510617i | ||||
\(295\) | 93.8032 | + | 108.255i | 0.0185133 | + | 0.0213655i | ||||
\(296\) | −1474.68 | − | 433.005i | −0.289574 | − | 0.0850267i | ||||
\(297\) | 4888.72 | − | 10704.8i | 0.955125 | − | 2.09143i | ||||
\(298\) | −2417.53 | −0.469946 | ||||||||
\(299\) | 3676.60 | − | 7927.15i | 0.711115 | − | 1.53324i | ||||
\(300\) | 1164.46 | 0.224100 | ||||||||
\(301\) | 361.223 | − | 790.969i | 0.0691713 | − | 0.151464i | ||||
\(302\) | −5138.89 | − | 1508.91i | −0.979172 | − | 0.287511i | ||||
\(303\) | 6954.83 | + | 8026.31i | 1.31863 | + | 1.52178i | ||||
\(304\) | −245.801 | + | 157.967i | −0.0463739 | + | 0.0298027i | ||||
\(305\) | 2788.05 | − | 3217.58i | 0.523420 | − | 0.604059i | ||||
\(306\) | 213.242 | − | 1483.13i | 0.0398374 | − | 0.277075i | ||||
\(307\) | 6879.55 | − | 2020.02i | 1.27895 | − | 0.375533i | 0.429433 | − | 0.903099i | \(-0.358714\pi\) |
0.849514 | + | 0.527566i | \(0.176895\pi\) | |||||||
\(308\) | 1009.64 | + | 648.856i | 0.186784 | + | 0.120039i | ||||
\(309\) | −1556.69 | − | 10827.0i | −0.286592 | − | 1.99329i | ||||
\(310\) | 257.230 | + | 563.255i | 0.0471280 | + | 0.103196i | ||||
\(311\) | −1753.88 | − | 3840.47i | −0.319787 | − | 0.700235i | 0.679659 | − | 0.733528i | \(-0.262128\pi\) |
−0.999446 | + | 0.0332932i | \(0.989400\pi\) | |||||||
\(312\) | 2506.22 | + | 17431.1i | 0.454765 | + | 3.16296i | ||||
\(313\) | −5964.26 | − | 3833.00i | −1.07706 | − | 0.692185i | −0.123184 | − | 0.992384i | \(-0.539311\pi\) |
−0.953877 | + | 0.300199i | \(0.902947\pi\) | |||||||
\(314\) | −6498.88 | + | 1908.24i | −1.16800 | + | 0.342957i | ||||
\(315\) | −397.060 | + | 2761.61i | −0.0710215 | + | 0.493966i | ||||
\(316\) | −1659.57 | + | 1915.24i | −0.295437 | + | 0.340952i | ||||
\(317\) | 3904.34 | − | 2509.17i | 0.691765 | − | 0.444570i | −0.146948 | − | 0.989144i | \(-0.546945\pi\) |
0.838713 | + | 0.544574i | \(0.183309\pi\) | |||||||
\(318\) | 7176.14 | + | 8281.71i | 1.26547 | + | 1.46042i | ||||
\(319\) | 6054.54 | + | 1777.77i | 1.06266 | + | 0.312026i | ||||
\(320\) | 706.688 | − | 1547.43i | 0.123453 | − | 0.270325i | ||||
\(321\) | −6191.02 | −1.07648 | ||||||||
\(322\) | −671.755 | − | 1494.09i | −0.116259 | − | 0.258579i | ||||
\(323\) | 1405.55 | 0.242126 | ||||||||
\(324\) | −3937.99 | + | 8623.00i | −0.675239 | + | 1.47857i | ||||
\(325\) | −1900.27 | − | 557.969i | −0.324332 | − | 0.0952325i | ||||
\(326\) | 1002.34 | + | 1156.76i | 0.170289 | + | 0.196524i | ||||
\(327\) | −660.231 | + | 424.305i | −0.111654 | + | 0.0717557i | ||||
\(328\) | 3787.81 | − | 4371.37i | 0.637644 | − | 0.735880i | ||||
\(329\) | 59.9839 | − | 417.197i | 0.0100517 | − | 0.0699113i | ||||
\(330\) | 2511.12 | − | 737.331i | 0.418886 | − | 0.122996i | ||||
\(331\) | 1622.83 | + | 1042.93i | 0.269483 | + | 0.173186i | 0.668403 | − | 0.743800i | \(-0.266978\pi\) |
−0.398919 | + | 0.916986i | \(0.630615\pi\) | |||||||
\(332\) | 243.194 | + | 1691.45i | 0.0402019 | + | 0.279610i | ||||
\(333\) | 1874.38 | + | 4104.31i | 0.308454 | + | 0.675420i | ||||
\(334\) | 1054.44 | + | 2308.90i | 0.172744 | + | 0.378256i | ||||
\(335\) | −168.823 | − | 1174.19i | −0.0275337 | − | 0.191501i | ||||
\(336\) | 175.502 | + | 112.789i | 0.0284954 | + | 0.0183129i | ||||
\(337\) | −8308.14 | + | 2439.49i | −1.34295 | + | 0.394325i | −0.872720 | − | 0.488221i | \(-0.837646\pi\) |
−0.470227 | + | 0.882546i | \(0.655828\pi\) | |||||||
\(338\) | 1038.64 | − | 7223.93i | 0.167144 | − | 1.16251i | ||||
\(339\) | 6215.81 | − | 7173.43i | 0.995860 | − | 1.14928i | ||||
\(340\) | −251.398 | + | 161.564i | −0.0401000 | + | 0.0257707i | ||||
\(341\) | −1365.85 | − | 1576.28i | −0.216906 | − | 0.250323i | ||||
\(342\) | 13024.5 | + | 3824.33i | 2.05931 | + | 0.604667i | ||||
\(343\) | −2127.75 | + | 4659.13i | −0.334950 | + | 0.733438i | ||||
\(344\) | 2399.16 | 0.376029 | ||||||||
\(345\) | 5127.91 | + | 1538.45i | 0.800224 | + | 0.240079i | ||||
\(346\) | 17.9521 | 0.00278933 | ||||||||
\(347\) | −190.241 | + | 416.570i | −0.0294314 | + | 0.0644458i | −0.923777 | − | 0.382931i | \(-0.874915\pi\) |
0.894345 | + | 0.447377i | \(0.147642\pi\) | |||||||
\(348\) | −9358.18 | − | 2747.81i | −1.44153 | − | 0.423270i | ||||
\(349\) | −1482.15 | − | 1710.49i | −0.227328 | − | 0.262351i | 0.630614 | − | 0.776096i | \(-0.282803\pi\) |
−0.857943 | + | 0.513746i | \(0.828258\pi\) | |||||||
\(350\) | −312.342 | + | 200.730i | −0.0477011 | + | 0.0306556i | ||||
\(351\) | 20259.1 | − | 23380.3i | 3.08078 | − | 3.55541i | ||||
\(352\) | −765.828 | + | 5326.45i | −0.115962 | + | 0.806536i | ||||
\(353\) | −3785.22 | + | 1111.44i | −0.570728 | + | 0.167581i | −0.554348 | − | 0.832285i | \(-0.687032\pi\) |
−0.0163801 | + | 0.999866i | \(0.505214\pi\) | |||||||
\(354\) | −418.608 | − | 269.023i | −0.0628496 | − | 0.0403910i | ||||
\(355\) | 682.524 | + | 4747.06i | 0.102041 | + | 0.709712i | ||||
\(356\) | −2837.15 | − | 6212.49i | −0.422384 | − | 0.924891i | ||||
\(357\) | −416.895 | − | 912.872i | −0.0618050 | − | 0.135334i | ||||
\(358\) | −975.276 | − | 6783.19i | −0.143980 | − | 1.00140i | ||||
\(359\) | −4249.79 | − | 2731.17i | −0.624778 | − | 0.401520i | 0.189595 | − | 0.981862i | \(-0.439283\pi\) |
−0.814373 | + | 0.580342i | \(0.802919\pi\) | |||||||
\(360\) | −7386.07 | + | 2168.75i | −1.08133 | + | 0.317508i | ||||
\(361\) | −835.997 | + | 5814.49i | −0.121883 | + | 0.847716i | ||||
\(362\) | 4880.98 | − | 5632.95i | 0.708670 | − | 0.817849i | ||||
\(363\) | 3453.25 | − | 2219.27i | 0.499308 | − | 0.320886i | ||||
\(364\) | 2066.08 | + | 2384.39i | 0.297506 | + | 0.343340i | ||||
\(365\) | −606.735 | − | 178.153i | −0.0870081 | − | 0.0255479i | ||||
\(366\) | −6143.91 | + | 13453.3i | −0.877451 | + | 1.92135i | ||||
\(367\) | −1994.55 | −0.283691 | −0.141845 | − | 0.989889i | \(-0.545304\pi\) | ||||
−0.141845 | + | 0.989889i | \(0.545304\pi\) | |||||||
\(368\) | 188.301 | − | 214.751i | 0.0266736 | − | 0.0304202i | ||||
\(369\) | −16980.8 | −2.39563 | ||||||||
\(370\) | −249.433 | + | 546.183i | −0.0350471 | + | 0.0767424i | ||||
\(371\) | 5024.32 | + | 1475.27i | 0.703099 | + | 0.206449i | ||||
\(372\) | 2111.13 | + | 2436.37i | 0.294239 | + | 0.339570i | ||||
\(373\) | −8605.42 | + | 5530.37i | −1.19456 | + | 0.767699i | −0.978007 | − | 0.208572i | \(-0.933119\pi\) |
−0.216556 | + | 0.976270i | \(0.569482\pi\) | |||||||
\(374\) | −439.831 | + | 507.592i | −0.0608105 | + | 0.0701790i | ||||
\(375\) | 172.685 | − | 1201.05i | 0.0237797 | − | 0.165392i | ||||
\(376\) | 1115.81 | − | 327.633i | 0.153042 | − | 0.0449372i | ||||
\(377\) | 13954.9 | + | 8968.25i | 1.90640 | + | 1.22517i | ||||
\(378\) | −825.377 | − | 5740.63i | −0.112309 | − | 0.781127i | ||||
\(379\) | −586.080 | − | 1283.34i | −0.0794325 | − | 0.173933i | 0.865749 | − | 0.500479i | \(-0.166843\pi\) |
−0.945181 | + | 0.326546i | \(0.894115\pi\) | |||||||
\(380\) | −1124.64 | − | 2462.61i | −0.151823 | − | 0.332446i | ||||
\(381\) | −1199.35 | − | 8341.66i | −0.161272 | − | 1.12167i | ||||
\(382\) | −2656.40 | − | 1707.17i | −0.355794 | − | 0.228655i | ||||
\(383\) | −830.896 | + | 243.973i | −0.110853 | + | 0.0325495i | −0.336689 | − | 0.941616i | \(-0.609307\pi\) |
0.225835 | + | 0.974165i | \(0.427489\pi\) | |||||||
\(384\) | 1132.49 | − | 7876.67i | 0.150501 | − | 1.04676i | ||||
\(385\) | 818.971 | − | 945.142i | 0.108412 | − | 0.125114i | ||||
\(386\) | 4640.08 | − | 2982.00i | 0.611849 | − | 0.393212i | ||||
\(387\) | −4612.40 | − | 5323.00i | −0.605844 | − | 0.699181i | ||||
\(388\) | −2337.16 | − | 686.252i | −0.305802 | − | 0.0897917i | ||||
\(389\) | 2319.67 | − | 5079.37i | 0.302344 | − | 0.662041i | −0.696092 | − | 0.717953i | \(-0.745079\pi\) |
0.998436 | + | 0.0559116i | \(0.0178065\pi\) | |||||||
\(390\) | 6879.94 | 0.893281 | ||||||||
\(391\) | −1320.53 | + | 379.337i | −0.170798 | + | 0.0490637i | ||||
\(392\) | −6277.22 | −0.808795 | ||||||||
\(393\) | −6684.13 | + | 14636.2i | −0.857939 | + | 1.87862i | ||||
\(394\) | −1906.79 | − | 559.884i | −0.243814 | − | 0.0715903i | ||||
\(395\) | 1729.32 | + | 1995.74i | 0.220282 | + | 0.254219i | ||||
\(396\) | 8178.08 | − | 5255.73i | 1.03779 | − | 0.666946i | ||||
\(397\) | −1449.63 | + | 1672.96i | −0.183261 | + | 0.211495i | −0.839945 | − | 0.542671i | \(-0.817413\pi\) |
0.656684 | + | 0.754166i | \(0.271959\pi\) | |||||||
\(398\) | −777.407 | + | 5406.98i | −0.0979092 | + | 0.680974i | ||||
\(399\) | 8723.30 | − | 2561.39i | 1.09451 | − | 0.321379i | ||||
\(400\) | −54.4570 | − | 34.9974i | −0.00680713 | − | 0.00437468i | ||||
\(401\) | −915.842 | − | 6369.82i | −0.114052 | − | 0.793252i | −0.963908 | − | 0.266236i | \(-0.914220\pi\) |
0.849856 | − | 0.527016i | \(-0.176689\pi\) | |||||||
\(402\) | 1711.89 | + | 3748.52i | 0.212391 | + | 0.465072i | ||||
\(403\) | −2277.70 | − | 4987.47i | −0.281539 | − | 0.616485i | ||||
\(404\) | 747.110 | + | 5196.27i | 0.0920053 | + | 0.639911i | ||||
\(405\) | 8309.97 | + | 5340.49i | 1.01957 | + | 0.655237i | ||||
\(406\) | 2983.81 | − | 876.125i | 0.364739 | − | 0.107097i | ||||
\(407\) | 287.832 | − | 2001.91i | 0.0350547 | − | 0.243811i | ||||
\(408\) | 1813.26 | − | 2092.61i | 0.220023 | − | 0.253920i | ||||
\(409\) | 12709.6 | − | 8167.97i | 1.53655 | − | 0.987482i | 0.548020 | − | 0.836465i | \(-0.315382\pi\) |
0.988531 | − | 0.151016i | \(-0.0482546\pi\) | |||||||
\(410\) | −1479.81 | − | 1707.79i | −0.178250 | − | 0.205711i | ||||
\(411\) | −14379.9 | − | 4222.31i | −1.72581 | − | 0.506742i | ||||
\(412\) | 2246.11 | − | 4918.29i | 0.268587 | − | 0.588123i | ||||
\(413\) | −237.779 | −0.0283302 | ||||||||
\(414\) | −13268.8 | − | 77.8953i | −1.57519 | − | 0.00924722i | ||||
\(415\) | 1780.67 | 0.210625 | ||||||||
\(416\) | −5876.55 | + | 12867.8i | −0.692600 | + | 1.51658i | ||||
\(417\) | −5125.00 | − | 1504.84i | −0.601852 | − | 0.176720i | ||||
\(418\) | −3984.56 | − | 4598.43i | −0.466247 | − | 0.538078i | ||||
\(419\) | 790.765 | − | 508.194i | 0.0921991 | − | 0.0592528i | −0.493729 | − | 0.869616i | \(-0.664366\pi\) |
0.585928 | + | 0.810363i | \(0.300730\pi\) | |||||||
\(420\) | −1265.84 | + | 1460.86i | −0.147063 | + | 0.169720i | ||||
\(421\) | −1846.00 | + | 12839.2i | −0.213702 | + | 1.48633i | 0.546949 | + | 0.837166i | \(0.315789\pi\) |
−0.760651 | + | 0.649162i | \(0.775120\pi\) | |||||||
\(422\) | −980.941 | + | 288.030i | −0.113155 | + | 0.0332253i | ||||
\(423\) | −2872.08 | − | 1845.77i | −0.330130 | − | 0.212162i | ||||
\(424\) | 2056.14 | + | 14300.7i | 0.235507 | + | 1.63798i | ||||
\(425\) | 129.359 | + | 283.257i | 0.0147643 | + | 0.0323294i | ||||
\(426\) | −6920.89 | − | 15154.6i | −0.787131 | − | 1.72358i | ||||
\(427\) | 1005.79 | + | 6995.41i | 0.113989 | + | 0.792814i | ||||
\(428\) | −2574.46 | − | 1654.50i | −0.290751 | − | 0.186854i | ||||
\(429\) | −22235.3 | + | 6528.86i | −2.50240 | + | 0.734771i | ||||
\(430\) | 133.391 | − | 927.754i | 0.0149597 | − | 0.104047i | ||||
\(431\) | −4147.08 | + | 4785.99i | −0.463475 | + | 0.534879i | −0.938585 | − | 0.345047i | \(-0.887863\pi\) |
0.475110 | + | 0.879926i | \(0.342408\pi\) | |||||||
\(432\) | 850.654 | − | 546.682i | 0.0947386 | − | 0.0608848i | ||||
\(433\) | 6045.75 | + | 6977.17i | 0.670994 | + | 0.774368i | 0.984532 | − | 0.175208i | \(-0.0560597\pi\) |
−0.313538 | + | 0.949576i | \(0.601514\pi\) | |||||||
\(434\) | −986.249 | − | 289.589i | −0.109082 | − | 0.0320293i | ||||
\(435\) | −4221.93 | + | 9244.74i | −0.465348 | + | 1.01897i | ||||
\(436\) | −387.941 | −0.0426124 | ||||||||
\(437\) | −1699.03 | − | 12330.4i | −0.185985 | − | 1.34976i | ||||
\(438\) | 2196.69 | 0.239639 | ||||||||
\(439\) | 1688.64 | − | 3697.61i | 0.183586 | − | 0.401998i | −0.795354 | − | 0.606145i | \(-0.792715\pi\) |
0.978940 | + | 0.204147i | \(0.0654422\pi\) | |||||||
\(440\) | 3310.76 | + | 972.125i | 0.358714 | + | 0.105328i | ||||
\(441\) | 12068.0 | + | 13927.2i | 1.30310 | + | 1.50386i | ||||
\(442\) | −1485.33 | + | 954.564i | −0.159842 | + | 0.102724i | ||||
\(443\) | 8840.90 | − | 10202.9i | 0.948180 | − | 1.09426i | −0.0472610 | − | 0.998883i | \(-0.515049\pi\) |
0.995441 | − | 0.0953759i | \(-0.0304053\pi\) | |||||||
\(444\) | −444.886 | + | 3094.25i | −0.0475526 | + | 0.330736i | ||||
\(445\) | −6828.44 | + | 2005.01i | −0.727413 | + | 0.213588i | ||||
\(446\) | 4406.53 | + | 2831.91i | 0.467837 | + | 0.300661i | ||||
\(447\) | 1866.50 | + | 12981.8i | 0.197500 | + | 1.37364i | ||||
\(448\) | 1173.10 | + | 2568.72i | 0.123713 | + | 0.270894i | ||||
\(449\) | −3716.11 | − | 8137.15i | −0.390589 | − | 0.855270i | −0.998138 | − | 0.0609881i | \(-0.980575\pi\) |
0.607550 | − | 0.794281i | \(-0.292152\pi\) | |||||||
\(450\) | 427.995 | + | 2976.77i | 0.0448353 | + | 0.311836i | ||||
\(451\) | 6403.23 | + | 4115.11i | 0.668551 | + | 0.429651i | ||||
\(452\) | 4501.81 | − | 1321.85i | 0.468468 | − | 0.137555i | ||||
\(453\) | −4135.07 | + | 28760.1i | −0.428880 | + | 2.98293i | ||||
\(454\) | −7667.45 | + | 8848.70i | −0.792623 | + | 0.914736i | ||||
\(455\) | 2765.70 | − | 1777.41i | 0.284963 | − | 0.183135i | ||||
\(456\) | 16426.8 | + | 18957.6i | 1.68697 | + | 1.94686i | ||||
\(457\) | 8368.76 | + | 2457.29i | 0.856617 | + | 0.251525i | 0.680414 | − | 0.732828i | \(-0.261800\pi\) |
0.176204 | + | 0.984354i | \(0.443618\pi\) | |||||||
\(458\) | 552.095 | − | 1208.92i | 0.0563269 | − | 0.123339i | ||||
\(459\) | −4864.23 | −0.494646 | ||||||||
\(460\) | 1721.24 | + | 2010.14i | 0.174463 | + | 0.203746i | ||||
\(461\) | 1056.63 | 0.106751 | 0.0533754 | − | 0.998575i | \(-0.483002\pi\) | ||||
0.0533754 | + | 0.998575i | \(0.483002\pi\) | |||||||
\(462\) | −1804.73 | + | 3951.82i | −0.181740 | + | 0.397955i | ||||
\(463\) | 8973.51 | + | 2634.86i | 0.900722 | + | 0.264476i | 0.699131 | − | 0.714994i | \(-0.253571\pi\) |
0.201591 | + | 0.979470i | \(0.435389\pi\) | |||||||
\(464\) | 355.060 | + | 409.761i | 0.0355242 | + | 0.0409971i | ||||
\(465\) | 2826.00 | − | 1816.16i | 0.281833 | − | 0.181123i | ||||
\(466\) | 2608.39 | − | 3010.25i | 0.259295 | − | 0.299242i | ||||
\(467\) | 223.237 | − | 1552.65i | 0.0221203 | − | 0.153850i | −0.975768 | − | 0.218809i | \(-0.929783\pi\) |
0.997888 | + | 0.0649594i | \(0.0206918\pi\) | |||||||
\(468\) | 24520.3 | − | 7199.81i | 2.42190 | − | 0.711135i | ||||
\(469\) | 1656.59 | + | 1064.62i | 0.163101 | + | 0.104818i | ||||
\(470\) | −64.6572 | − | 449.701i | −0.00634556 | − | 0.0441344i | ||||
\(471\) | 15264.6 | + | 33424.7i | 1.49332 | + | 3.26992i | ||||
\(472\) | −272.535 | − | 596.769i | −0.0265772 | − | 0.0581960i | ||||
\(473\) | 449.306 | + | 3124.99i | 0.0436768 | + | 0.303778i | ||||
\(474\) | −7717.28 | − | 4959.59i | −0.747819 | − | 0.480594i | ||||
\(475\) | −2706.77 | + | 794.780i | −0.261464 | + | 0.0767727i | ||||
\(476\) | 70.5978 | − | 491.018i | 0.00679799 | − | 0.0472811i | ||||
\(477\) | 27776.0 | − | 32055.2i | 2.66619 | − | 3.07695i | ||||
\(478\) | −8211.64 | + | 5277.30i | −0.785757 | + | 0.504975i | ||||
\(479\) | −5395.23 | − | 6226.43i | −0.514644 | − | 0.593931i | 0.437638 | − | 0.899151i | \(-0.355815\pi\) |
−0.952282 | + | 0.305220i | \(0.901270\pi\) | |||||||
\(480\) | −8315.96 | − | 2441.79i | −0.790771 | − | 0.232191i | ||||
\(481\) | 2208.67 | − | 4836.30i | 0.209369 | − | 0.458454i | ||||
\(482\) | 1355.82 | 0.128124 | ||||||||
\(483\) | −7504.39 | + | 4760.77i | −0.706960 | + | 0.448493i | ||||
\(484\) | 2029.08 | 0.190559 | ||||||||
\(485\) | −1054.41 | + | 2308.83i | −0.0987179 | + | 0.216162i | ||||
\(486\) | −14822.8 | − | 4352.35i | −1.38349 | − | 0.406228i | ||||
\(487\) | 757.744 | + | 874.483i | 0.0705065 | + | 0.0813688i | 0.789907 | − | 0.613227i | \(-0.210129\pi\) |
−0.719400 | + | 0.694596i | \(0.755583\pi\) | |||||||
\(488\) | −16404.0 | + | 10542.2i | −1.52167 | + | 0.977916i | ||||
\(489\) | 5437.75 | − | 6275.50i | 0.502871 | − | 0.580344i | ||||
\(490\) | −349.007 | + | 2427.40i | −0.0321766 | + | 0.223793i | ||||
\(491\) | −1301.37 | + | 382.117i | −0.119613 | + | 0.0351216i | −0.340991 | − | 0.940066i | \(-0.610763\pi\) |
0.221378 | + | 0.975188i | \(0.428944\pi\) | |||||||
\(492\) | −9897.13 | − | 6360.50i | −0.906905 | − | 0.582832i | ||||
\(493\) | −371.185 | − | 2581.65i | −0.0339094 | − | 0.235845i | ||||
\(494\) | −6644.67 | − | 14549.8i | −0.605178 | − | 1.32515i | ||||
\(495\) | −4208.10 | − | 9214.46i | −0.382101 | − | 0.836685i | ||||
\(496\) | −25.5046 | − | 177.388i | −0.00230885 | − | 0.0160584i | ||||
\(497\) | −6697.31 | − | 4304.10i | −0.604457 | − | 0.388461i | ||||
\(498\) | −5935.21 | + | 1742.74i | −0.534063 | + | 0.156815i | ||||
\(499\) | −1914.11 | + | 13312.9i | −0.171718 | + | 1.19432i | 0.703536 | + | 0.710659i | \(0.251603\pi\) |
−0.875254 | + | 0.483664i | \(0.839306\pi\) | |||||||
\(500\) | 392.780 | − | 453.292i | 0.0351313 | − | 0.0405437i | ||||
\(501\) | 11584.4 | − | 7444.81i | 1.03304 | − | 0.663892i | ||||
\(502\) | −3090.57 | − | 3566.71i | −0.274779 | − | 0.317112i | ||||
\(503\) | 10022.7 | + | 2942.92i | 0.888447 | + | 0.260872i | 0.693943 | − | 0.720030i | \(-0.255872\pi\) |
0.194504 | + | 0.980902i | \(0.437690\pi\) | |||||||
\(504\) | 5308.35 | − | 11623.7i | 0.469152 | − | 1.02730i | ||||
\(505\) | 5470.34 | 0.482033 | ||||||||
\(506\) | 4984.61 | + | 3244.92i | 0.437931 | + | 0.285088i | ||||
\(507\) | −39593.3 | −3.46825 | ||||||||
\(508\) | 1730.51 | − | 3789.29i | 0.151140 | − | 0.330950i | ||||
\(509\) | 6892.18 | + | 2023.73i | 0.600178 | + | 0.176228i | 0.567688 | − | 0.823244i | \(-0.307838\pi\) |
0.0324902 | + | 0.999472i | \(0.489656\pi\) | |||||||
\(510\) | −708.395 | − | 817.531i | −0.0615064 | − | 0.0709822i | ||||
\(511\) | 883.059 | − | 567.507i | 0.0764466 | − | 0.0491293i | ||||
\(512\) | −613.438 | + | 707.945i | −0.0529500 | + | 0.0611075i | ||||
\(513\) | 6271.32 | − | 43618.0i | 0.539738 | − | 3.75396i | ||||
\(514\) | 5002.65 | − | 1468.91i | 0.429295 | − | 0.126052i | ||||
\(515\) | −4739.74 | − | 3046.05i | −0.405550 | − | 0.260631i | ||||
\(516\) | −694.468 | − | 4830.13i | −0.0592485 | − | 0.412083i | ||||
\(517\) | 635.718 | + | 1392.03i | 0.0540790 | + | 0.118417i | ||||
\(518\) | −414.057 | − | 906.658i | −0.0351209 | − | 0.0769040i | ||||
\(519\) | −13.8602 | − | 96.4000i | −0.00117225 | − | 0.00815316i | ||||
\(520\) | 7630.83 | + | 4904.03i | 0.643527 | + | 0.413570i | ||||
\(521\) | −5650.00 | + | 1658.99i | −0.475107 | + | 0.139504i | −0.510515 | − | 0.859869i | \(-0.670545\pi\) |
0.0354076 | + | 0.999373i | \(0.488727\pi\) | |||||||
\(522\) | 3584.79 | − | 24932.8i | 0.300579 | − | 2.09057i | ||||
\(523\) | 10827.0 | − | 12495.0i | 0.905220 | − | 1.04468i | −0.0935751 | − | 0.995612i | \(-0.529830\pi\) |
0.998795 | − | 0.0490677i | \(-0.0156250\pi\) | |||||||
\(524\) | −6690.93 | + | 4300.00i | −0.557814 | + | 0.358486i | ||||
\(525\) | 1319.04 | + | 1522.25i | 0.109653 | + | 0.126546i | ||||
\(526\) | −9242.09 | − | 2713.72i | −0.766111 | − | 0.224950i | ||||
\(527\) | −358.128 | + | 784.191i | −0.0296021 | + | 0.0648196i | ||||
\(528\) | −757.451 | −0.0624315 | ||||||||
\(529\) | 4924.07 | + | 11126.1i | 0.404707 | + | 0.914447i | ||||
\(530\) | 5644.41 | 0.462599 | ||||||||
\(531\) | −800.094 | + | 1751.96i | −0.0653882 | + | 0.143180i | ||||
\(532\) | 4311.99 | + | 1266.11i | 0.351407 | + | 0.103182i | ||||
\(533\) | 13103.3 | + | 15122.0i | 1.06485 | + | 1.22891i | ||||
\(534\) | 20797.8 | − | 13366.0i | 1.68541 | − | 1.08315i | ||||
\(535\) | −2088.28 | + | 2410.00i | −0.168755 | + | 0.194754i | ||||
\(536\) | −773.221 | + | 5377.87i | −0.0623098 | + | 0.433374i | ||||
\(537\) | −35671.8 | + | 10474.2i | −2.86657 | + | 0.841702i | ||||
\(538\) | 6440.94 | + | 4139.34i | 0.516150 | + | 0.331709i | ||||
\(539\) | −1175.57 | − | 8176.30i | −0.0939436 | − | 0.653392i | ||||
\(540\) | 3892.08 | + | 8522.46i | 0.310164 | + | 0.679164i | ||||
\(541\) | −8766.00 | − | 19194.9i | −0.696635 | − | 1.52542i | −0.844004 | − | 0.536337i | \(-0.819808\pi\) |
0.147369 | − | 0.989082i | \(-0.452920\pi\) | |||||||
\(542\) | 831.764 | + | 5785.05i | 0.0659176 | + | 0.458467i | ||||
\(543\) | −34016.6 | − | 21861.1i | −2.68838 | − | 1.72772i | ||||
\(544\) | 2134.14 | − | 626.641i | 0.168200 | − | 0.0493879i | ||||
\(545\) | −57.5302 | + | 400.131i | −0.00452169 | + | 0.0314491i | ||||
\(546\) | −7478.93 | + | 8631.14i | −0.586206 | + | 0.676518i | ||||
\(547\) | −16333.6 | + | 10497.0i | −1.27674 | + | 0.820508i | −0.990482 | − | 0.137645i | \(-0.956047\pi\) |
−0.286254 | + | 0.958154i | \(0.592410\pi\) | |||||||
\(548\) | −4851.31 | − | 5598.71i | −0.378171 | − | 0.436432i | ||||
\(549\) | 54926.6 | + | 16127.9i | 4.26997 | + | 1.25378i | ||||
\(550\) | 559.995 | − | 1226.22i | 0.0434150 | − | 0.0950656i | ||||
\(551\) | 23628.5 | 1.82687 | ||||||||
\(552\) | −20549.7 | − | 13377.6i | −1.58451 | − | 1.03150i | ||||
\(553\) | −4383.60 | −0.337088 | ||||||||
\(554\) | −925.747 | + | 2027.10i | −0.0709950 | + | 0.155457i | ||||
\(555\) | 3125.50 | + | 917.730i | 0.239045 | + | 0.0701901i | ||||
\(556\) | −1729.01 | − | 1995.38i | −0.131882 | − | 0.152200i | ||||
\(557\) | 12876.4 | − | 8275.17i | 0.979517 | − | 0.629497i | 0.0501840 | − | 0.998740i | \(-0.484019\pi\) |
0.929333 | + | 0.369243i | \(0.120383\pi\) | |||||||
\(558\) | −5452.29 | + | 6292.27i | −0.413645 | + | 0.477371i | ||||
\(559\) | −1181.14 | + | 8215.01i | −0.0893683 | + | 0.621571i | ||||
\(560\) | 103.104 | − | 30.2740i | 0.00778023 | − | 0.00228448i | ||||
\(561\) | 3065.27 | + | 1969.93i | 0.230688 | + | 0.148254i | ||||
\(562\) | 382.256 | + | 2658.65i | 0.0286913 | + | 0.199552i | ||||
\(563\) | −2266.66 | − | 4963.29i | −0.169677 | − | 0.371541i | 0.805622 | − | 0.592430i | \(-0.201831\pi\) |
−0.975299 | + | 0.220889i | \(0.929104\pi\) | |||||||
\(564\) | −982.596 | − | 2151.59i | −0.0733595 | − | 0.160635i | ||||
\(565\) | −695.786 | − | 4839.29i | −0.0518087 | − | 0.360337i | ||||
\(566\) | 7908.23 | + | 5082.31i | 0.587293 | + | 0.377430i | ||||
\(567\) | −15733.3 | + | 4619.71i | −1.16532 | + | 0.342169i | ||||
\(568\) | 3126.00 | − | 21741.8i | 0.230923 | − | 1.60610i | ||||
\(569\) | −4675.53 | + | 5395.85i | −0.344479 | + | 0.397550i | −0.901380 | − | 0.433029i | \(-0.857445\pi\) |
0.556901 | + | 0.830579i | \(0.311990\pi\) | |||||||
\(570\) | 8244.20 | − | 5298.23i | 0.605810 | − | 0.389330i | ||||
\(571\) | −13190.1 | − | 15222.2i | −0.966708 | − | 1.11564i | −0.993250 | − | 0.115992i | \(-0.962995\pi\) |
0.0265426 | − | 0.999648i | \(-0.491550\pi\) | |||||||
\(572\) | −10991.1 | − | 3227.26i | −0.803425 | − | 0.235907i | ||||
\(573\) | −7116.31 | + | 15582.6i | −0.518828 | + | 1.13607i | ||||
\(574\) | 3751.13 | 0.272768 | ||||||||
\(575\) | 2328.56 | − | 1477.23i | 0.168883 | − | 0.107139i | ||||
\(576\) | 22873.7 | 1.65464 | ||||||||
\(577\) | 2545.75 | − | 5574.42i | 0.183676 | − | 0.402194i | −0.795287 | − | 0.606233i | \(-0.792680\pi\) |
0.978963 | + | 0.204039i | \(0.0654070\pi\) | |||||||
\(578\) | −8168.47 | − | 2398.48i | −0.587826 | − | 0.172601i | ||||
\(579\) | −19595.3 | − | 22614.2i | −1.40648 | − | 1.62317i | ||||
\(580\) | −4226.23 | + | 2716.03i | −0.302560 | + | 0.194443i | ||||
\(581\) | −1935.70 | + | 2233.91i | −0.138221 | + | 0.159515i | ||||
\(582\) | 1254.84 | − | 8727.60i | 0.0893724 | − | 0.621599i | ||||
\(583\) | −18242.1 | + | 5356.38i | −1.29590 | + | 0.380512i | ||||
\(584\) | 2436.44 | + | 1565.80i | 0.172638 | + | 0.110948i | ||||
\(585\) | −3789.78 | − | 26358.5i | −0.267843 | − | 1.86289i | ||||
\(586\) | −1290.27 | − | 2825.30i | −0.0909568 | − | 0.199168i | ||||
\(587\) | 3580.29 | + | 7839.75i | 0.251745 | + | 0.551245i | 0.992742 | − | 0.120263i | \(-0.0383739\pi\) |
−0.740997 | + | 0.671509i | \(0.765647\pi\) | |||||||
\(588\) | 1817.02 | + | 12637.7i | 0.127437 | + | 0.886341i | ||||
\(589\) | −6570.20 | − | 4222.41i | −0.459627 | − | 0.295384i | ||||
\(590\) | −245.923 | + | 72.2094i | −0.0171601 | + | 0.00503867i | ||||
\(591\) | −1534.32 | + | 10671.5i | −0.106791 | + | 0.742750i | ||||
\(592\) | 113.802 | − | 131.335i | 0.00790074 | − | 0.00911794i | ||||
\(593\) | 10843.6 | − | 6968.77i | 0.750917 | − | 0.482585i | −0.108350 | − | 0.994113i | \(-0.534557\pi\) |
0.859267 | + | 0.511528i | \(0.170920\pi\) | |||||||
\(594\) | 13789.5 | + | 15914.0i | 0.952511 | + | 1.09926i | ||||
\(595\) | −495.978 | − | 145.632i | −0.0341733 | − | 0.0100342i | ||||
\(596\) | −2693.13 | + | 5897.12i | −0.185092 | + | 0.405294i | ||||
\(597\) | 29634.9 | 2.03162 | ||||||||
\(598\) | 10169.6 | + | 11876.5i | 0.695425 | + | 0.812148i | ||||
\(599\) | 19807.4 | 1.35110 | 0.675549 | − | 0.737315i | \(-0.263907\pi\) | ||||
0.675549 | + | 0.737315i | \(0.263907\pi\) | |||||||
\(600\) | −2308.65 | + | 5055.23i | −0.157083 | + | 0.343965i | ||||
\(601\) | −14499.3 | − | 4257.37i | −0.984090 | − | 0.288955i | −0.250178 | − | 0.968200i | \(-0.580489\pi\) |
−0.733912 | + | 0.679245i | \(0.762307\pi\) | |||||||
\(602\) | 1018.90 | + | 1175.87i | 0.0689820 | + | 0.0796095i | ||||
\(603\) | 13418.4 | − | 8623.45i | 0.906199 | − | 0.582378i | ||||
\(604\) | −9405.44 | + | 10854.5i | −0.633612 | + | 0.731228i | ||||
\(605\) | 300.904 | − | 2092.83i | 0.0202206 | − | 0.140638i | ||||
\(606\) | −18233.4 | + | 5353.81i | −1.22225 | + | 0.358884i | ||||
\(607\) | 11913.8 | + | 7656.51i | 0.796647 | + | 0.511974i | 0.874520 | − | 0.484990i | \(-0.161177\pi\) |
−0.0778733 | + | 0.996963i | \(0.524813\pi\) | |||||||
\(608\) | 2867.66 | + | 19945.0i | 0.191281 | + | 1.33039i | ||||
\(609\) | −7008.37 | − | 15346.2i | −0.466327 | − | 1.02111i | ||||
\(610\) | 3164.62 | + | 6929.54i | 0.210052 | + | 0.459949i | ||||
\(611\) | 572.522 | + | 3981.98i | 0.0379080 | + | 0.263656i | ||||
\(612\) | −3380.28 | − | 2172.37i | −0.223267 | − | 0.143485i | ||||
\(613\) | 22026.3 | − | 6467.50i | 1.45128 | − | 0.426134i | 0.541314 | − | 0.840820i | \(-0.317927\pi\) |
0.909964 | + | 0.414687i | \(0.136109\pi\) | |||||||
\(614\) | −1825.81 | + | 12698.8i | −0.120006 | + | 0.834662i | ||||
\(615\) | −8028.06 | + | 9264.88i | −0.526379 | + | 0.607473i | ||||
\(616\) | −4818.56 | + | 3096.70i | −0.315171 | + | 0.202548i | ||||
\(617\) | −12955.5 | − | 14951.5i | −0.845332 | − | 0.975565i | 0.154591 | − | 0.987979i | \(-0.450594\pi\) |
−0.999923 | + | 0.0124137i | \(0.996048\pi\) | |||||||
\(618\) | 18779.4 | + | 5514.13i | 1.22236 | + | 0.358917i | ||||
\(619\) | −6176.22 | + | 13524.0i | −0.401039 | + | 0.878153i | 0.596125 | + | 0.802892i | \(0.296706\pi\) |
−0.997164 | + | 0.0752614i | \(0.976021\pi\) | |||||||
\(620\) | 1660.51 | 0.107561 | ||||||||
\(621\) | 5879.88 | + | 42672.3i | 0.379954 | + | 2.75746i | ||||
\(622\) | 7554.52 | 0.486991 | ||||||||
\(623\) | 4907.58 | − | 10746.1i | 0.315599 | − | 0.691065i | ||||
\(624\) | −1910.54 | − | 560.984i | −0.122568 | − | 0.0359893i | ||||
\(625\) | −409.288 | − | 472.343i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | 10672.0 | − | 6858.46i | 0.681371 | − | 0.437890i | ||||
\(627\) | −21616.6 | + | 24946.8i | −1.37685 | + | 1.58896i | ||||
\(628\) | −2584.93 | + | 17978.6i | −0.164252 | + | 1.14240i | ||||
\(629\) | −802.105 | + | 235.519i | −0.0508458 | + | 0.0149297i | ||||
\(630\) | −4199.72 | − | 2699.00i | −0.265589 | − | 0.170684i | ||||
\(631\) | −4243.74 | − | 29515.9i | −0.267735 | − | 1.86214i | −0.469811 | − | 0.882767i | \(-0.655678\pi\) |
0.202076 | − | 0.979370i | \(-0.435231\pi\) | |||||||
\(632\) | −5024.34 | − | 11001.8i | −0.316231 | − | 0.692448i | ||||
\(633\) | 2304.03 | + | 5045.13i | 0.144672 | + | 0.316787i | ||||
\(634\) | 1181.84 | + | 8219.88i | 0.0740329 | + | 0.514910i | ||||
\(635\) | −3651.73 | − | 2346.83i | −0.228212 | − | 0.146663i | ||||
\(636\) | 28195.9 | − | 8279.07i | 1.75793 | − | 0.516173i | ||||
\(637\) | 3090.36 | − | 21494.0i | 0.192221 | − | 1.33693i | ||||
\(638\) | −7393.95 | + | 8533.07i | −0.458823 | + | 0.529510i | ||||
\(639\) | −54248.2 | + | 34863.2i | −3.35841 | + | 2.15832i | ||||
\(640\) | −2684.18 | − | 3097.71i | −0.165783 | − | 0.191324i | ||||
\(641\) | −6117.12 | − | 1796.15i | −0.376929 | − | 0.110676i | 0.0877798 | − | 0.996140i | \(-0.472023\pi\) |
−0.464709 | + | 0.885464i | \(0.653841\pi\) | |||||||
\(642\) | 4601.85 | − | 10076.6i | 0.282898 | − | 0.619461i | ||||
\(643\) | 8521.40 | 0.522630 | 0.261315 | − | 0.965254i | \(-0.415844\pi\) | ||||
0.261315 | + | 0.965254i | \(0.415844\pi\) | |||||||
\(644\) | −4392.89 | − | 25.7887i | −0.268795 | − | 0.00157798i | ||||
\(645\) | −5084.89 | −0.310415 | ||||||||
\(646\) | −1044.76 | + | 2287.70i | −0.0636307 | + | 0.139332i | ||||
\(647\) | 26317.0 | + | 7727.36i | 1.59911 | + | 0.469542i | 0.955300 | − | 0.295639i | \(-0.0955325\pi\) |
0.643815 | + | 0.765181i | \(0.277351\pi\) | |||||||
\(648\) | −29627.4 | − | 34191.8i | −1.79610 | − | 2.07281i | ||||
\(649\) | 726.272 | − | 466.747i | 0.0439271 | − | 0.0282302i | ||||
\(650\) | 2320.65 | − | 2678.18i | 0.140036 | − | 0.161610i | ||||
\(651\) | −793.598 | + | 5519.60i | −0.0477781 | + | 0.332304i | ||||
\(652\) | 3938.30 | − | 1156.39i | 0.236558 | − | 0.0694597i | ||||
\(653\) | −16825.7 | − | 10813.2i | −1.00833 | − | 0.648015i | −0.0713708 | − | 0.997450i | \(-0.522737\pi\) |
−0.936961 | + | 0.349435i | \(0.886374\pi\) | |||||||
\(654\) | −199.852 | − | 1390.00i | −0.0119493 | − | 0.0831089i | ||||
\(655\) | 3442.88 | + | 7538.85i | 0.205381 | + | 0.449721i | ||||
\(656\) | 271.686 | + | 594.910i | 0.0161701 | + | 0.0354075i | ||||
\(657\) | −1210.03 | − | 8415.97i | −0.0718538 | − | 0.499754i | ||||
\(658\) | 634.453 | + | 407.738i | 0.0375890 | + | 0.0241570i | ||||
\(659\) | 26578.0 | − | 7803.99i | 1.57106 | − | 0.461306i | 0.623752 | − | 0.781622i | \(-0.285608\pi\) |
0.947311 | + | 0.320317i | \(0.103789\pi\) | |||||||
\(660\) | 998.799 | − | 6946.80i | 0.0589063 | − | 0.409703i | ||||
\(661\) | −19643.1 | + | 22669.3i | −1.15587 | + | 1.33394i | −0.222533 | + | 0.974925i | \(0.571433\pi\) |
−0.933332 | + | 0.359014i | \(0.883113\pi\) | |||||||
\(662\) | −2903.77 | + | 1866.14i | −0.170481 | + | 0.109561i | ||||
\(663\) | 6272.64 | + | 7239.02i | 0.367435 | + | 0.424042i | ||||
\(664\) | −7825.21 | − | 2297.69i | −0.457345 | − | 0.134289i | ||||
\(665\) | 1945.35 | − | 4259.72i | 0.113440 | − | 0.248398i | ||||
\(666\) | −8073.52 | −0.469733 | ||||||||
\(667\) | −22199.3 | + | 6376.99i | −1.28870 | + | 0.370192i | ||||
\(668\) | 6806.78 | 0.394255 | ||||||||
\(669\) | 11804.8 | − | 25848.9i | 0.682211 | − | 1.49383i | ||||
\(670\) | 2036.63 | + | 598.008i | 0.117436 | + | 0.0344822i | ||||
\(671\) | −16803.7 | − | 19392.4i | −0.966763 | − | 1.11570i | ||||
\(672\) | 12103.3 | − | 7778.30i | 0.694783 | − | 0.446510i | ||||
\(673\) | 2600.04 | − | 3000.61i | 0.148922 | − | 0.171865i | −0.676387 | − | 0.736546i | \(-0.736455\pi\) |
0.825309 | + | 0.564681i | \(0.191001\pi\) | |||||||
\(674\) | 2204.96 | − | 15335.8i | 0.126011 | − | 0.876429i | ||||
\(675\) | 9367.43 | − | 2750.53i | 0.534152 | − | 0.156841i | ||||
\(676\) | −16464.4 | − | 10581.0i | −0.936754 | − | 0.602015i | ||||
\(677\) | 2773.36 | + | 19289.2i | 0.157443 | + | 1.09504i | 0.903323 | + | 0.428960i | \(0.141120\pi\) |
−0.745880 | + | 0.666080i | \(0.767971\pi\) | |||||||
\(678\) | 7055.36 | + | 15449.1i | 0.399645 | + | 0.875101i | ||||
\(679\) | −1750.31 | − | 3832.63i | −0.0989257 | − | 0.216617i | ||||
\(680\) | −202.972 | − | 1411.70i | −0.0114465 | − | 0.0796122i | ||||
\(681\) | 53436.0 | + | 34341.3i | 3.00686 | + | 1.93239i | ||||
\(682\) | 3580.84 | − | 1051.43i | 0.201052 | − | 0.0590342i | ||||
\(683\) | 975.162 | − | 6782.40i | 0.0546318 | − | 0.379973i | −0.944101 | − | 0.329655i | \(-0.893068\pi\) |
0.998733 | − | 0.0503176i | \(-0.0160234\pi\) | |||||||
\(684\) | 23838.0 | − | 27510.5i | 1.33256 | − | 1.53785i | ||||
\(685\) | −6494.06 | + | 4173.48i | −0.362227 | + | 0.232789i | ||||
\(686\) | −6001.72 | − | 6926.35i | −0.334033 | − | 0.385495i | ||||
\(687\) | −6917.97 | − | 2031.30i | −0.384188 | − | 0.112808i | ||||
\(688\) | −112.690 | + | 246.758i | −0.00624460 | + | 0.0136738i | ||||
\(689\) | −49979.7 | −2.76353 | ||||||||
\(690\) | −6315.64 | + | 7202.76i | −0.348453 | + | 0.397398i | ||||
\(691\) | 20685.6 | 1.13881 | 0.569404 | − | 0.822058i | \(-0.307174\pi\) | ||||
0.569404 | + | 0.822058i | \(0.307174\pi\) | |||||||
\(692\) | 19.9986 | − | 43.7908i | 0.00109860 | − | 0.00240560i | ||||
\(693\) | 16134.3 | + | 4737.47i | 0.884406 | + | 0.259685i | ||||
\(694\) | −536.611 | − | 619.282i | −0.0293508 | − | 0.0338727i | ||||
\(695\) | −2314.49 | + | 1487.43i | −0.126322 | + | 0.0811820i | ||||
\(696\) | 30482.4 | − | 35178.6i | 1.66011 | − | 1.91586i | ||||
\(697\) | 447.737 | − | 3114.08i | 0.0243318 | − | 0.169231i | ||||
\(698\) | 3885.73 | − | 1140.95i | 0.210712 | − | 0.0618706i | ||||
\(699\) | −18178.4 | − | 11682.6i | −0.983651 | − | 0.632154i | ||||
\(700\) | 141.696 | + | 985.514i | 0.00765084 | + | 0.0532128i | ||||
\(701\) | 1100.20 | + | 2409.10i | 0.0592780 | + | 0.129801i | 0.936953 | − | 0.349456i | \(-0.113634\pi\) |
−0.877675 | + | 0.479257i | \(0.840906\pi\) | |||||||
\(702\) | 22995.5 | + | 50353.1i | 1.23634 | + | 2.70720i | ||||
\(703\) | −1077.79 | − | 7496.20i | −0.0578232 | − | 0.402169i | ||||
\(704\) | −8625.34 | − | 5543.17i | −0.461761 | − | 0.296756i | ||||
\(705\) | −2364.91 | + | 694.400i | −0.126337 | + | 0.0370959i | ||||
\(706\) | 1004.59 | − | 6987.06i | 0.0535526 | − | 0.372467i | ||||
\(707\) | −5946.60 | + | 6862.74i | −0.316329 | + | 0.365064i | ||||
\(708\) | −1122.56 | + | 721.426i | −0.0595881 | + | 0.0382950i | ||||
\(709\) | 19184.8 | + | 22140.4i | 1.01622 | + | 1.17278i | 0.984874 | + | 0.173272i | \(0.0554340\pi\) |
0.0313464 | + | 0.999509i | \(0.490021\pi\) | |||||||
\(710\) | −8233.75 | − | 2417.65i | −0.435221 | − | 0.127793i | ||||
\(711\) | −14750.2 | + | 32298.5i | −0.778025 | + | 1.70364i | ||||
\(712\) | 32595.0 | 1.71566 | ||||||||
\(713\) | 7312.37 | + | 2193.81i | 0.384082 | + | 0.115230i | ||||
\(714\) | 1795.69 | 0.0941206 | ||||||||
\(715\) | −4958.60 | + | 10857.8i | −0.259358 | + | 0.567915i | ||||
\(716\) | −17632.8 | − | 5177.46i | −0.920348 | − | 0.270239i | ||||
\(717\) | 34678.3 | + | 40020.9i | 1.80625 | + | 2.08453i | ||||
\(718\) | 7604.23 | − | 4886.94i | 0.395247 | − | 0.254010i | ||||
\(719\) | 9886.86 | − | 11410.0i | 0.512820 | − | 0.591826i | −0.438998 | − | 0.898488i | \(-0.644667\pi\) |
0.951819 | + | 0.306662i | \(0.0992121\pi\) | |||||||
\(720\) | 123.870 | − | 861.537i | 0.00641163 | − | 0.0445939i | ||||
\(721\) | 8973.78 | − | 2634.94i | 0.463524 | − | 0.136103i | ||||
\(722\) | −8842.38 | − | 5682.66i | −0.455789 | − | 0.292918i | ||||
\(723\) | −1046.78 | − | 7280.55i | −0.0538456 | − | 0.374504i | ||||
\(724\) | −8303.14 | − | 18181.3i | −0.426221 | − | 0.933294i | ||||
\(725\) | 2174.64 | + | 4761.80i | 0.111399 | + | 0.243929i | ||||
\(726\) | 1045.30 | + | 7270.20i | 0.0534361 | + | 0.371656i | ||||
\(727\) | −10995.5 | − | 7066.41i | −0.560939 | − | 0.360493i | 0.229240 | − | 0.973370i | \(-0.426376\pi\) |
−0.790179 | + | 0.612877i | \(0.790012\pi\) | |||||||
\(728\) | −14447.5 | + | 4242.16i | −0.735521 | + | 0.215968i | ||||
\(729\) | −4336.02 | + | 30157.7i | −0.220293 | + | 1.53217i | ||||
\(730\) | 740.959 | − | 855.112i | 0.0375673 | − | 0.0433550i | ||||
\(731\) | 1097.79 | − | 705.508i | 0.0555449 | − | 0.0356965i | ||||
\(732\) | 25972.5 | + | 29973.9i | 1.31144 | + | 1.51348i | ||||
\(733\) | −24299.8 | − | 7135.06i | −1.22447 | − | 0.359535i | −0.395307 | − | 0.918549i | \(-0.629362\pi\) |
−0.829158 | + | 0.559014i | \(0.811180\pi\) | |||||||
\(734\) | 1482.57 | − | 3246.37i | 0.0745539 | − | 0.163250i | ||||
\(735\) | 13304.2 | 0.667665 | ||||||||
\(736\) | −8077.08 | − | 17964.7i | −0.404518 | − | 0.899711i | ||||
\(737\) | −7149.67 | −0.357343 | ||||||||
\(738\) | 12622.0 | − | 27638.4i | 0.629570 | − | 1.37857i | ||||
\(739\) | −1078.42 | − | 316.652i | −0.0536809 | − | 0.0157621i | 0.254782 | − | 0.966999i | \(-0.417996\pi\) |
−0.308463 | + | 0.951236i | \(0.599815\pi\) | |||||||
\(740\) | 1054.44 | + | 1216.89i | 0.0523813 | + | 0.0604512i | ||||
\(741\) | −73000.2 | + | 46914.4i | −3.61907 | + | 2.32583i | ||||
\(742\) | −6135.82 | + | 7081.12i | −0.303576 | + | 0.350345i | ||||
\(743\) | −1432.00 | + | 9959.77i | −0.0707065 | + | 0.491774i | 0.923441 | + | 0.383741i | \(0.125364\pi\) |
−0.994147 | + | 0.108033i | \(0.965545\pi\) | |||||||
\(744\) | −14762.4 | + | 4334.64i | −0.727443 | + | 0.213596i | ||||
\(745\) | 5683.04 | + | 3652.27i | 0.279477 | + | 0.179609i | ||||
\(746\) | −2604.85 | − | 18117.2i | −0.127843 | − | 0.889164i | ||||
\(747\) | 9946.16 | + | 21779.0i | 0.487163 | + | 1.06674i | ||||
\(748\) | 748.206 | + | 1638.34i | 0.0365737 | + | 0.0800852i | ||||
\(749\) | −753.346 | − | 5239.64i | −0.0367512 | − | 0.255610i | ||||
\(750\) | 1826.50 | + | 1173.82i | 0.0889256 | + | 0.0571490i | ||||
\(751\) | 9486.27 | − | 2785.42i | 0.460931 | − | 0.135341i | −0.0430193 | − | 0.999074i | \(-0.513698\pi\) |
0.503950 | + | 0.863733i | \(0.331880\pi\) | |||||||
\(752\) | −18.7131 | + | 130.153i | −0.000907443 | + | 0.00631140i | ||||
\(753\) | −16766.6 | + | 19349.7i | −0.811431 | + | 0.936442i | ||||
\(754\) | −24969.7 | + | 16047.1i | −1.20603 | + | 0.775066i | ||||
\(755\) | 9800.73 | + | 11310.6i | 0.472431 | + | 0.545214i | ||||
\(756\) | −14922.7 | − | 4381.69i | −0.717900 | − | 0.210794i | ||||
\(757\) | 13305.4 | − | 29134.7i | 0.638827 | − | 1.39884i | −0.262175 | − | 0.965020i | \(-0.584440\pi\) |
0.901002 | − | 0.433815i | \(-0.142833\pi\) | |||||||
\(758\) | 2524.43 | 0.120965 | ||||||||
\(759\) | 13576.3 | − | 29271.9i | 0.649260 | − | 1.39987i | ||||
\(760\) | 12920.6 | 0.616682 | ||||||||
\(761\) | −7298.12 | + | 15980.7i | −0.347643 | + | 0.761233i | 0.652351 | + | 0.757917i | \(0.273783\pi\) |
−0.999995 | + | 0.00331594i | \(0.998945\pi\) | |||||||
\(762\) | 14468.6 | + | 4248.35i | 0.687849 | + | 0.201971i | ||||
\(763\) | −439.441 | − | 507.141i | −0.0208504 | − | 0.0240626i | ||||
\(764\) | −7123.55 | + | 4578.03i | −0.337331 | + | 0.216790i | ||||
\(765\) | −2741.92 | + | 3164.34i | −0.129587 | + | 0.149552i | ||||
\(766\) | 220.518 | − | 1533.73i | 0.0104016 | − | 0.0723447i | ||||
\(767\) | 2177.58 | − | 639.395i | 0.102513 | − | 0.0301007i | ||||
\(768\) | 34205.7 | + | 21982.7i | 1.60715 | + | 1.03285i | ||||
\(769\) | 2138.82 | + | 14875.8i | 0.100296 | + | 0.697576i | 0.976481 | + | 0.215601i | \(0.0691712\pi\) |
−0.876185 | + | 0.481975i | \(0.839920\pi\) | |||||||
\(770\) | 929.586 | + | 2035.51i | 0.0435064 | + | 0.0952658i | ||||
\(771\) | −11750.2 | − | 25729.4i | −0.548864 | − | 1.20184i | ||||
\(772\) | −2104.99 | − | 14640.6i | −0.0981352 | − | 0.682546i | ||||
\(773\) | 18847.6 | + | 12112.6i | 0.876972 | + | 0.563596i | 0.899878 | − | 0.436142i | \(-0.143655\pi\) |
−0.0229056 | + | 0.999738i | \(0.507292\pi\) | |||||||
\(774\) | 12092.3 | − | 3550.61i | 0.561561 | − | 0.164889i | ||||
\(775\) | 246.247 | − | 1712.69i | 0.0114135 | − | 0.0793827i | ||||
\(776\) | 7612.84 | − | 8785.68i | 0.352171 | − | 0.406427i | ||||
\(777\) | −4548.94 | + | 2923.43i | −0.210029 | + | 0.134977i | ||||
\(778\) | 6543.06 | + | 7551.09i | 0.301517 | + | 0.347969i | ||||
\(779\) | 27347.0 | + | 8029.81i | 1.25778 | + | 0.369317i | ||||
\(780\) | 7664.25 | − | 16782.4i | 0.351826 | − | 0.770391i | ||||
\(781\) | 28904.9 | 1.32433 | ||||||||
\(782\) | 364.148 | − | 2431.29i | 0.0166520 | − | 0.111180i | ||||
\(783\) | −81772.0 | −3.73217 | ||||||||
\(784\) | 294.846 | − | 645.623i | 0.0134314 | − | 0.0294107i | ||||
\(785\) | 18160.2 | + | 5332.32i | 0.825688 | + | 0.242444i | ||||
\(786\) | −18853.8 | − | 21758.5i | −0.855591 | − | 0.987404i | ||||
\(787\) | −11495.8 | + | 7387.88i | −0.520686 | + | 0.334624i | −0.774443 | − | 0.632643i | \(-0.781970\pi\) |
0.253757 | + | 0.967268i | \(0.418334\pi\) | |||||||
\(788\) | −3489.90 | + | 4027.56i | −0.157770 | + | 0.182076i | ||||
\(789\) | −7436.77 | + | 51723.8i | −0.335559 | + | 2.33386i | ||||
\(790\) | −4533.73 | + | 1331.22i | −0.204181 | + | 0.0599529i | ||||
\(791\) | 6827.44 | + | 4387.73i | 0.306897 | + | 0.197231i | ||||
\(792\) | 6602.76 | + | 45923.2i | 0.296236 | + | 2.06037i | ||||
\(793\) | −28021.8 | − | 61359.2i | −1.25483 | − | 2.74770i | ||||
\(794\) | −1645.42 | − | 3602.98i | −0.0735440 | − | 0.161039i | ||||
\(795\) | −4357.87 | − | 30309.6i | −0.194412 | − | 1.35217i | ||||
\(796\) | 12323.3 | + | 7919.71i | 0.548729 | + | 0.352647i | ||||
\(797\) | 4670.87 | − | 1371.49i | 0.207592 | − | 0.0609544i | −0.176283 | − | 0.984339i | \(-0.556408\pi\) |
0.383875 | + | 0.923385i | \(0.374589\pi\) | |||||||
\(798\) | −2315.14 | + | 16102.2i | −0.102701 | + | 0.714298i | ||||
\(799\) | 414.222 | − | 478.037i | 0.0183406 | − | 0.0211661i | ||||
\(800\) | −3755.55 | + | 2413.55i | −0.165974 | + | 0.106665i | ||||
\(801\) | −62664.1 | − | 72318.2i | −2.76420 | − | 3.19006i | ||||
\(802\) | 11048.4 | + | 3244.11i | 0.486451 | + | 0.142835i | ||||
\(803\) | −1583.23 | + | 3466.78i | −0.0695777 | + | 0.152354i | ||||
\(804\) | 11050.9 | 0.484744 | ||||||||
\(805\) | −678.047 | + | 4527.10i | −0.0296870 | + | 0.198210i | ||||
\(806\) | 9810.76 | 0.428746 | ||||||||
\(807\) | 17254.8 | − | 37782.7i | 0.752661 | − | 1.64810i | ||||
\(808\) | −24039.6 | − | 7058.67i | −1.04667 | − | 0.307330i | ||||
\(809\) | −15407.1 | − | 17780.7i | −0.669572 | − | 0.772727i | 0.314737 | − | 0.949179i | \(-0.398084\pi\) |
−0.984309 | + | 0.176452i | \(0.943538\pi\) | |||||||
\(810\) | −14869.2 | + | 9555.85i | −0.645000 | + | 0.414516i | ||||
\(811\) | 16649.6 | − | 19214.7i | 0.720896 | − | 0.831958i | −0.270518 | − | 0.962715i | \(-0.587195\pi\) |
0.991415 | + | 0.130756i | \(0.0417406\pi\) | |||||||
\(812\) | 1186.81 | − | 8254.45i | 0.0512918 | − | 0.356742i | ||||
\(813\) | 30422.7 | − | 8932.90i | 1.31239 | − | 0.385351i | ||||
\(814\) | 3044.41 | + | 1956.52i | 0.131089 | + | 0.0842459i | ||||
\(815\) | −608.691 | − | 4233.54i | −0.0261614 | − | 0.181956i | ||||
\(816\) | 130.058 | + | 284.788i | 0.00557959 | + | 0.0122176i | ||||
\(817\) | 4911.00 | + | 10753.6i | 0.210299 | + | 0.460491i | ||||
\(818\) | 3847.19 | + | 26757.8i | 0.164442 | + | 1.14372i | ||||
\(819\) | 37187.4 | + | 23898.9i | 1.58661 | + | 1.01965i | ||||
\(820\) | −5814.34 | + | 1707.24i | −0.247617 | + | 0.0727068i | ||||
\(821\) | 3611.07 | − | 25115.6i | 0.153505 | − | 1.06765i | −0.756782 | − | 0.653668i | \(-0.773229\pi\) |
0.910286 | − | 0.413980i | \(-0.135862\pi\) | |||||||
\(822\) | 17561.0 | − | 20266.5i | 0.745147 | − | 0.859946i | ||||
\(823\) | −14235.3 | + | 9148.49i | −0.602931 | + | 0.387480i | −0.806200 | − | 0.591642i | \(-0.798480\pi\) |
0.203269 | + | 0.979123i | \(0.434843\pi\) | |||||||
\(824\) | 16898.5 | + | 19501.9i | 0.714427 | + | 0.824492i | ||||
\(825\) | −7016.96 | − | 2060.37i | −0.296120 | − | 0.0869488i | ||||
\(826\) | 176.744 | − | 387.015i | 0.00744517 | − | 0.0163026i | ||||
\(827\) | 23295.4 | 0.979516 | 0.489758 | − | 0.871858i | \(-0.337085\pi\) | ||||
0.489758 | + | 0.871858i | \(0.337085\pi\) | |||||||
\(828\) | −14971.5 | + | 32280.1i | −0.628375 | + | 1.35484i | ||||
\(829\) | −26123.9 | −1.09448 | −0.547238 | − | 0.836977i | \(-0.684321\pi\) | ||||
−0.547238 | + | 0.836977i | \(0.684321\pi\) | |||||||
\(830\) | −1323.59 | + | 2898.26i | −0.0553523 | + | 0.121205i | ||||
\(831\) | 11600.0 | + | 3406.06i | 0.484235 | + | 0.142184i | ||||
\(832\) | −17650.5 | − | 20369.8i | −0.735483 | − | 0.848793i | ||||
\(833\) | −2872.29 | + | 1845.91i | −0.119470 | + | 0.0767790i | ||||
\(834\) | 6258.77 | − | 7223.00i | 0.259860 | − | 0.299895i | ||||
\(835\) | 1009.42 | − | 7020.67i | 0.0418352 | − | 0.290970i | ||||
\(836\) | −15655.8 | + | 4596.97i | −0.647689 | + | 0.190179i | ||||
\(837\) | 22737.7 | + | 14612.7i | 0.938986 | + | 0.603449i | ||||
\(838\) | 239.364 | + | 1664.81i | 0.00986718 | + | 0.0686277i | ||||
\(839\) | −2806.34 | − | 6145.03i | −0.115478 | − | 0.252861i | 0.843064 | − | 0.537813i | \(-0.180749\pi\) |
−0.958542 | + | 0.284953i | \(0.908022\pi\) | |||||||
\(840\) | −3832.33 | − | 8391.63i | −0.157414 | − | 0.344689i | ||||
\(841\) | −2769.04 | − | 19259.1i | −0.113536 | − | 0.789662i | ||||
\(842\) | −19525.2 | − | 12548.1i | −0.799149 | − | 0.513582i | ||||
\(843\) | 13981.4 | − | 4105.31i | 0.571228 | − | 0.167728i | ||||
\(844\) | −390.170 | + | 2713.69i | −0.0159126 | + | 0.110674i | ||||
\(845\) | −13355.1 | + | 15412.6i | −0.543704 | + | 0.627467i | ||||
\(846\) | 5139.06 | − | 3302.68i | 0.208847 | − | 0.134218i | ||||
\(847\) | 2298.43 | + | 2652.53i | 0.0932410 | + | 0.107606i | ||||
\(848\) | −1567.43 | − | 460.240i | −0.0634739 | − | 0.0186376i | ||||
\(849\) | 21185.6 | − | 46389.9i | 0.856404 | − | 1.87526i | ||||
\(850\) | −557.190 | −0.0224841 | ||||||||
\(851\) | 3035.72 | + | 6751.92i | 0.122283 | + | 0.271977i | ||||
\(852\) | −44676.8 | −1.79648 | ||||||||
\(853\) | 5724.82 | − | 12535.6i | 0.229794 | − | 0.503178i | −0.759250 | − | 0.650799i | \(-0.774434\pi\) |
0.989044 | + | 0.147620i | \(0.0471614\pi\) | |||||||
\(854\) | −12133.5 | − | 3562.72i | −0.486183 | − | 0.142756i | ||||
\(855\) | −24839.9 | − | 28666.7i | −0.993574 | − | 1.14665i | ||||
\(856\) | 12286.8 | − | 7896.22i | 0.490599 | − | 0.315289i | ||||
\(857\) | −11549.2 | + | 13328.5i | −0.460341 | + | 0.531262i | −0.937700 | − | 0.347446i | \(-0.887049\pi\) |
0.477358 | + | 0.878709i | \(0.341594\pi\) | |||||||
\(858\) | 5901.18 | − | 41043.6i | 0.234805 | − | 1.63311i | ||||
\(859\) | −3999.93 | + | 1174.48i | −0.158877 | + | 0.0466506i | −0.360204 | − | 0.932874i | \(-0.617293\pi\) |
0.201327 | + | 0.979524i | \(0.435475\pi\) | |||||||
\(860\) | −2114.49 | − | 1358.90i | −0.0838412 | − | 0.0538815i | ||||
\(861\) | −2896.13 | − | 20143.0i | −0.114634 | − | 0.797296i | ||||
\(862\) | −4707.21 | − | 10307.4i | −0.185996 | − | 0.407274i | ||||
\(863\) | 13928.8 | + | 30499.9i | 0.549412 | + | 1.20304i | 0.957056 | + | 0.289904i | \(0.0936233\pi\) |
−0.407644 | + | 0.913141i | \(0.633649\pi\) | |||||||
\(864\) | −9924.21 | − | 69024.4i | −0.390774 | − | 2.71789i | ||||
\(865\) | −42.2011 | − | 27.1210i | −0.00165882 | − | 0.00106606i | ||||
\(866\) | −15850.1 | + | 4654.00i | −0.621948 | + | 0.182621i | ||||
\(867\) | −6572.86 | + | 45715.3i | −0.257470 | + | 1.79074i | ||||
\(868\) | −1805.08 | + | 2083.17i | −0.0705857 | + | 0.0814602i | ||||
\(869\) | 13389.3 | − | 8604.75i | 0.522669 | − | 0.335899i | ||||
\(870\) | −11908.7 | − | 13743.4i | −0.464074 | − | 0.535570i | ||||
\(871\) | −18033.8 | − | 5295.20i | −0.701552 | − | 0.205994i | ||||
\(872\) | 769.129 | − | 1684.16i | 0.0298693 | − | 0.0654046i | ||||
\(873\) | −34128.4 | −1.32311 | ||||||||
\(874\) | 21332.2 | + | 6399.95i | 0.825596 | + | 0.247691i | ||||
\(875\) | 1037.49 | 0.0400842 | ||||||||
\(876\) | 2447.11 | − | 5358.42i | 0.0943838 | − | 0.206672i | ||||
\(877\) | −27815.1 | − | 8167.26i | −1.07098 | − | 0.314468i | −0.301716 | − | 0.953398i | \(-0.597559\pi\) |
−0.769265 | + | 0.638930i | \(0.779378\pi\) | |||||||
\(878\) | 4763.13 | + | 5496.94i | 0.183084 | + | 0.211290i | ||||
\(879\) | −14175.3 | + | 9109.90i | −0.543937 | + | 0.349567i | ||||
\(880\) | −255.493 | + | 294.855i | −0.00978714 | + | 0.0112950i | ||||
\(881\) | 4900.37 | − | 34082.8i | 0.187398 | − | 1.30338i | −0.651315 | − | 0.758808i | \(-0.725782\pi\) |
0.838713 | − | 0.544574i | \(-0.183309\pi\) | |||||||
\(882\) | −31638.5 | + | 9289.91i | −1.20785 | + | 0.354657i | ||||
\(883\) | 40560.7 | + | 26066.8i | 1.54584 | + | 0.993450i | 0.986360 | + | 0.164605i | \(0.0526349\pi\) |
0.559478 | + | 0.828845i | \(0.311001\pi\) | |||||||
\(884\) | 673.828 | + | 4686.57i | 0.0256372 | + | 0.178311i | ||||
\(885\) | 577.623 | + | 1264.82i | 0.0219396 | + | 0.0480411i | ||||
\(886\) | 10035.0 | + | 21973.6i | 0.380511 | + | 0.833203i | ||||
\(887\) | 2664.02 | + | 18528.7i | 0.100845 | + | 0.701389i | 0.976035 | + | 0.217611i | \(0.0698265\pi\) |
−0.875191 | + | 0.483778i | \(0.839264\pi\) | |||||||
\(888\) | −12550.9 | − | 8066.00i | −0.474304 | − | 0.304817i | ||||
\(889\) | 6913.84 | − | 2030.09i | 0.260835 | − | 0.0765882i | ||||
\(890\) | 1812.25 | − | 12604.5i | 0.0682547 | − | 0.474722i | ||||
\(891\) | 38987.5 | − | 44994.0i | 1.46591 | − | 1.69176i | ||||
\(892\) | 11816.8 | − | 7594.19i | 0.443560 | − | 0.285059i | ||||
\(893\) | 3752.56 | + | 4330.69i | 0.140621 | + | 0.162285i | ||||
\(894\) | −22516.8 | − | 6611.54i | −0.842366 | − | 0.247341i | ||||
\(895\) | −7955.02 | + | 17419.1i | −0.297103 | + | 0.650565i | ||||
\(896\) | 6804.05 | 0.253691 | ||||||||
\(897\) | 55923.3 | − | 63778.5i | 2.08163 | − | 2.37403i | ||||
\(898\) | 16006.4 | 0.594813 | ||||||||
\(899\) | −6020.45 | + | 13183.0i | −0.223352 | + | 0.489072i | ||||
\(900\) | 7738.07 | + | 2272.10i | 0.286595 | + | 0.0841519i | ||||
\(901\) | 5146.17 | + | 5939.00i | 0.190282 | + | 0.219597i | ||||
\(902\) | −11457.4 | + | 7363.24i | −0.422939 | + | 0.271806i | ||||
\(903\) | 5527.59 | − | 6379.18i | 0.203706 | − | 0.235090i | ||||
\(904\) | −3186.74 | + | 22164.3i | −0.117245 | + | 0.815457i | ||||
\(905\) | −19984.0 | + | 5867.82i | −0.734022 | + | 0.215528i | ||||
\(906\) | −43736.9 | − | 28108.0i | −1.60382 | − | 1.03071i | ||||
\(907\) | 715.554 | + | 4976.78i | 0.0261958 | + | 0.182196i | 0.998718 | − | 0.0506130i | \(-0.0161175\pi\) |
−0.972523 | + | 0.232809i | \(0.925208\pi\) | |||||||
\(908\) | 13043.3 | + | 28560.8i | 0.476714 | + | 1.04386i | ||||
\(909\) | 30555.3 | + | 66906.8i | 1.11491 | + | 2.44132i | ||||
\(910\) | 837.176 | + | 5822.69i | 0.0304968 | + | 0.212110i | ||||
\(911\) | −4588.37 | − | 2948.76i | −0.166871 | − | 0.107241i | 0.454540 | − | 0.890726i | \(-0.349804\pi\) |
−0.621411 | + | 0.783485i | \(0.713440\pi\) | |||||||
\(912\) | −2721.40 | + | 799.075i | −0.0988098 | + | 0.0290132i | ||||
\(913\) | 1527.34 | − | 10622.9i | 0.0553644 | − | 0.385068i | ||||
\(914\) | −10220.1 | + | 11794.7i | −0.369860 | + | 0.426841i | ||||
\(915\) | 34767.3 | − | 22343.6i | 1.25614 | − | 0.807275i | ||||
\(916\) | −2333.90 | − | 2693.47i | −0.0841860 | − | 0.0971558i | ||||
\(917\) | −13200.4 | − | 3875.98i | −0.475371 | − | 0.139581i | ||||
\(918\) | 3615.63 | − | 7917.13i | 0.129993 | − | 0.284645i | ||||
\(919\) | 49136.7 | 1.76373 | 0.881866 | − | 0.471501i | \(-0.156287\pi\) | ||||
0.881866 | + | 0.471501i | \(0.156287\pi\) | |||||||
\(920\) | −12139.1 | + | 3487.08i | −0.435015 | + | 0.124963i | ||||
\(921\) | 69600.4 | 2.49013 | ||||||||
\(922\) | −785.403 | + | 1719.79i | −0.0280541 | + | 0.0614299i | ||||
\(923\) | 72907.6 | + | 21407.6i | 2.59998 | + | 0.763424i | ||||
\(924\) | 7629.26 | + | 8804.63i | 0.271628 | + | 0.313475i | ||||
\(925\) | 1411.50 | − | 907.117i | 0.0501728 | − | 0.0322441i | ||||
\(926\) | −10958.7 | + | 12647.0i | −0.388903 | + | 0.448818i | ||||
\(927\) | 10781.2 | − | 74985.1i | 0.381987 | − | 2.65678i | ||||
\(928\) | 35876.9 | − | 10534.4i | 1.26909 | − | 0.372638i | ||||
\(929\) | 26197.4 | + | 16836.0i | 0.925198 | + | 0.594589i | 0.914161 | − | 0.405351i | \(-0.132851\pi\) |
0.0110365 | + | 0.999939i | \(0.496487\pi\) | |||||||
\(930\) | 855.427 | + | 5949.63i | 0.0301619 | + | 0.209781i | ||||
\(931\) | −12849.3 | − | 28136.0i | −0.452328 | − | 0.990461i | ||||
\(932\) | −4437.20 | − | 9716.11i | −0.155950 | − | 0.341483i | ||||
\(933\) | −5832.60 | − | 40566.6i | −0.204663 | − | 1.42346i | ||||
\(934\) | 2361.19 | + | 1517.45i | 0.0827201 | + | 0.0531610i | ||||
\(935\) | 1800.78 | − | 528.757i | 0.0629859 | − | 0.0184943i | ||||
\(936\) | −17357.4 | + | 120723.i | −0.606138 | + | 4.21578i | ||||
\(937\) | −16295.0 | + | 18805.4i | −0.568125 | + | 0.655651i | −0.965009 | − | 0.262218i | \(-0.915546\pi\) |
0.396884 | + | 0.917869i | \(0.370092\pi\) | |||||||
\(938\) | −2964.17 | + | 1904.95i | −0.103181 | + | 0.0663102i | ||||
\(939\) | −45068.4 | − | 52011.7i | −1.56630 | − | 1.80760i | ||||
\(940\) | −1168.99 | − | 343.247i | −0.0405620 | − | 0.0119101i | ||||
\(941\) | −4483.24 | + | 9816.93i | −0.155313 | + | 0.340088i | −0.971253 | − | 0.238048i | \(-0.923492\pi\) |
0.815940 | + | 0.578136i | \(0.196220\pi\) | |||||||
\(942\) | −65749.2 | −2.27412 | ||||||||
\(943\) | −27860.1 | − | 163.554i | −0.962089 | − | 0.00564799i | ||||
\(944\) | 74.1798 | 0.00255757 | ||||||||
\(945\) | −6732.35 | + | 14741.8i | −0.231749 | + | 0.507461i | ||||
\(946\) | −5420.28 | − | 1591.54i | −0.186288 | − | 0.0546991i | ||||
\(947\) | −6854.68 | − | 7910.73i | −0.235214 | − | 0.271451i | 0.625855 | − | 0.779939i | \(-0.284750\pi\) |
−0.861069 | + | 0.508488i | \(0.830205\pi\) | |||||||
\(948\) | −20695.1 | + | 13299.9i | −0.709013 | + | 0.455655i | ||||
\(949\) | −6560.99 | + | 7571.79i | −0.224424 | + | 0.259000i | ||||
\(950\) | 718.370 | − | 4996.37i | 0.0245337 | − | 0.170636i | ||||
\(951\) | 43227.1 | − | 12692.6i | 1.47396 | − | 0.432793i | ||||
\(952\) | 1991.68 | + | 1279.97i | 0.0678053 | + | 0.0435758i | ||||
\(953\) | 5391.75 | + | 37500.5i | 0.183270 | + | 1.27467i | 0.848967 | + | 0.528446i | \(0.177225\pi\) |
−0.665697 | + | 0.746222i | \(0.731866\pi\) | |||||||
\(954\) | 31527.6 | + | 69035.8i | 1.06996 | + | 2.34289i | ||||
\(955\) | 3665.49 | + | 8026.29i | 0.124201 | + | 0.271963i | ||||
\(956\) | 3725.25 | + | 25909.7i | 0.126028 | + | 0.876547i | ||||
\(957\) | 51530.0 | + | 33116.3i | 1.74057 | + | 1.11860i | ||||
\(958\) | 14144.6 | − | 4153.23i | 0.477027 | − | 0.140068i | ||||
\(959\) | 1823.66 | − | 12683.9i | 0.0614069 | − | 0.427094i | ||||
\(960\) | 10814.0 | − | 12480.1i | 0.363564 | − | 0.419576i | ||||
\(961\) | −21031.9 | + | 13516.4i | −0.705983 | + | 0.453707i | ||||
\(962\) | 6229.95 | + | 7189.75i | 0.208796 | + | 0.240963i | ||||
\(963\) | −41140.6 | − | 12080.0i | −1.37668 | − | 0.404228i | ||||
\(964\) | 1510.38 | − | 3307.27i | 0.0504627 | − | 0.110498i | ||||
\(965\) | −15412.8 | −0.514149 | ||||||||
\(966\) | −2170.64 | − | 15753.1i | −0.0722972 | − | 0.524685i | ||||
\(967\) | −16729.5 | −0.556343 | −0.278172 | − | 0.960531i | \(-0.589728\pi\) | ||||
−0.278172 | + | 0.960531i | \(0.589728\pi\) | |||||||
\(968\) | −4022.83 | + | 8808.76i | −0.133573 | + | 0.292484i | ||||
\(969\) | 13091.2 | + | 3843.93i | 0.434005 | + | 0.127435i | ||||
\(970\) | −2974.15 | − | 3432.35i | −0.0984477 | − | 0.113615i | ||||
\(971\) | −37403.1 | + | 24037.5i | −1.23617 | + | 0.794439i | −0.984840 | − | 0.173462i | \(-0.944504\pi\) |
−0.251330 | + | 0.967901i | \(0.580868\pi\) | |||||||
\(972\) | −27129.3 | + | 31308.9i | −0.895239 | + | 1.03316i | ||||
\(973\) | 649.956 | − | 4520.54i | 0.0214148 | − | 0.148943i | ||||
\(974\) | −1986.57 | + | 583.309i | −0.0653529 | + | 0.0191893i | ||||
\(975\) | −16173.1 | − | 10393.8i | −0.531235 | − | 0.341404i | ||||
\(976\) | −313.775 | − | 2182.35i | −0.0102907 | − | 0.0715731i | ||||
\(977\) | −8642.07 | − | 18923.5i | −0.282993 | − | 0.619669i | 0.713742 | − | 0.700409i | \(-0.246999\pi\) |
−0.996735 | + | 0.0807399i | \(0.974272\pi\) | |||||||
\(978\) | 6172.21 | + | 13515.3i | 0.201805 | + | 0.441892i | ||||
\(979\) | 6104.27 | + | 42456.1i | 0.199278 | + | 1.38601i | ||||
\(980\) | 5532.40 | + | 3555.46i | 0.180333 | + | 0.115893i | ||||
\(981\) | −5215.28 | + | 1531.34i | −0.169736 | + | 0.0498390i | ||||
\(982\) | 345.380 | − | 2402.17i | 0.0112235 | − | 0.0780614i | ||||
\(983\) | −17903.1 | + | 20661.3i | −0.580895 | + | 0.670389i | −0.967797 | − | 0.251732i | \(-0.919000\pi\) |
0.386902 | + | 0.922121i | \(0.373545\pi\) | |||||||
\(984\) | 47234.6 | − | 30355.8i | 1.53027 | − | 0.983444i | ||||
\(985\) | 3636.57 | + | 4196.83i | 0.117635 | + | 0.135758i | ||||
\(986\) | 4477.86 | + | 1314.82i | 0.144629 | + | 0.0424669i | ||||
\(987\) | 1699.65 | − | 3721.72i | 0.0548131 | − | 0.120024i | ||||
\(988\) | −42893.7 | −1.38121 | ||||||||
\(989\) | −7516.21 | − | 8777.76i | −0.241660 | − | 0.282221i | ||||
\(990\) | 18125.6 | 0.581888 | ||||||||
\(991\) | −2757.05 | + | 6037.09i | −0.0883759 | + | 0.193516i | −0.948659 | − | 0.316300i | \(-0.897559\pi\) |
0.860283 | + | 0.509816i | \(0.170287\pi\) | |||||||
\(992\) | −11858.5 | − | 3481.97i | −0.379544 | − | 0.111444i | ||||
\(993\) | 12262.8 | + | 14152.0i | 0.391891 | + | 0.452267i | ||||
\(994\) | 11983.6 | − | 7701.41i | 0.382392 | − | 0.245748i | ||||
\(995\) | 9996.06 | − | 11536.1i | 0.318489 | − | 0.367556i | ||||
\(996\) | −2360.73 | + | 16419.3i | −0.0751031 | + | 0.522354i | ||||
\(997\) | 13030.4 | − | 3826.07i | 0.413918 | − | 0.121537i | −0.0681415 | − | 0.997676i | \(-0.521707\pi\) |
0.482060 | + | 0.876138i | \(0.339889\pi\) | |||||||
\(998\) | −20245.6 | − | 13011.1i | −0.642148 | − | 0.412683i | ||||
\(999\) | 3729.95 | + | 25942.4i | 0.118129 | + | 0.821603i |
(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 | 115.4.g.a.6.5 | ✓ | 110 | |
23.4 | even | 11 | inner | 115.4.g.a.96.5 | yes | 110 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.4.g.a.6.5 | ✓ | 110 | 1.1 | even | 1 | trivial | |
115.4.g.a.96.5 | yes | 110 | 23.4 | even | 11 | inner |