Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), 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: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.3.l.a.43.2 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92177 | + | 0.553897i | −0.960885 | + | 0.276949i | ||||
\(3\) | 4.90961 | − | 0.865697i | 1.63654 | − | 0.288566i | 0.721645 | − | 0.692264i | \(-0.243387\pi\) |
0.914892 | + | 0.403698i | \(0.132275\pi\) | |||||||
\(4\) | 3.38640 | − | 2.12892i | 0.846599 | − | 0.532231i | ||||
\(5\) | 2.37531 | − | 1.99312i | 0.475062 | − | 0.398624i | −0.373575 | − | 0.927600i | \(-0.621868\pi\) |
0.848637 | + | 0.528976i | \(0.177424\pi\) | |||||||
\(6\) | −8.95563 | + | 4.38309i | −1.49261 | + | 0.730515i | ||||
\(7\) | −8.41114 | − | 4.85617i | −1.20159 | − | 0.693739i | −0.240682 | − | 0.970604i | \(-0.577371\pi\) |
−0.960909 | + | 0.276865i | \(0.910705\pi\) | |||||||
\(8\) | −5.32867 | + | 5.96702i | −0.666083 | + | 0.745877i | ||||
\(9\) | 14.8976 | − | 5.42229i | 1.65529 | − | 0.602476i | ||||
\(10\) | −3.46081 | + | 5.14599i | −0.346081 | + | 0.514599i | ||||
\(11\) | 7.34500 | − | 4.24064i | 0.667727 | − | 0.385512i | −0.127488 | − | 0.991840i | \(-0.540691\pi\) |
0.795215 | + | 0.606328i | \(0.207358\pi\) | |||||||
\(12\) | 14.7829 | − | 13.3838i | 1.23191 | − | 1.11532i | ||||
\(13\) | −3.81970 | + | 21.6626i | −0.293823 | + | 1.66635i | 0.378124 | + | 0.925755i | \(0.376569\pi\) |
−0.671947 | + | 0.740599i | \(0.734542\pi\) | |||||||
\(14\) | 18.8541 | + | 4.67354i | 1.34672 | + | 0.333824i | ||||
\(15\) | 9.93640 | − | 11.8417i | 0.662427 | − | 0.789449i | ||||
\(16\) | 6.93536 | − | 14.4188i | 0.433460 | − | 0.901173i | ||||
\(17\) | 15.0608 | + | 5.48169i | 0.885931 | + | 0.322453i | 0.744601 | − | 0.667510i | \(-0.232640\pi\) |
0.141330 | + | 0.989963i | \(0.454862\pi\) | |||||||
\(18\) | −25.6264 | + | 18.6721i | −1.42369 | + | 1.03734i | ||||
\(19\) | −18.9737 | + | 0.998863i | −0.998617 | + | 0.0525717i | ||||
\(20\) | 3.80053 | − | 11.8063i | 0.190027 | − | 0.590317i | ||||
\(21\) | −45.4994 | − | 16.5604i | −2.16664 | − | 0.788592i | ||||
\(22\) | −11.7665 | + | 12.2179i | −0.534842 | + | 0.555359i | ||||
\(23\) | −4.86968 | + | 5.80346i | −0.211725 | + | 0.252324i | −0.861447 | − | 0.507848i | \(-0.830441\pi\) |
0.649721 | + | 0.760172i | \(0.274886\pi\) | |||||||
\(24\) | −20.9961 | + | 33.9087i | −0.874836 | + | 1.41286i | ||||
\(25\) | −2.67164 | + | 15.1516i | −0.106866 | + | 0.606066i | ||||
\(26\) | −4.65827 | − | 43.7463i | −0.179164 | − | 1.68255i | ||||
\(27\) | 29.5904 | − | 17.0841i | 1.09594 | − | 0.632743i | ||||
\(28\) | −38.8219 | + | 1.46176i | −1.38650 | + | 0.0522056i | ||||
\(29\) | −2.00734 | + | 0.730613i | −0.0692188 | + | 0.0251936i | −0.376397 | − | 0.926458i | \(-0.622837\pi\) |
0.307179 | + | 0.951652i | \(0.400615\pi\) | |||||||
\(30\) | −12.5364 | + | 28.2608i | −0.417879 | + | 0.942028i | ||||
\(31\) | 6.63446 | + | 3.83041i | 0.214015 | + | 0.123562i | 0.603176 | − | 0.797608i | \(-0.293902\pi\) |
−0.389161 | + | 0.921170i | \(0.627235\pi\) | |||||||
\(32\) | −5.34165 | + | 31.5510i | −0.166926 | + | 0.985969i | ||||
\(33\) | 32.3900 | − | 27.1784i | 0.981514 | − | 0.823588i | ||||
\(34\) | −31.9797 | − | 2.19240i | −0.940580 | − | 0.0644824i | ||||
\(35\) | −29.6580 | + | 5.22950i | −0.847371 | + | 0.149414i | ||||
\(36\) | 38.9056 | − | 50.0779i | 1.08071 | − | 1.39105i | ||||
\(37\) | −29.7012 | −0.802735 | −0.401367 | − | 0.915917i | \(-0.631465\pi\) | ||||
−0.401367 | + | 0.915917i | \(0.631465\pi\) | |||||||
\(38\) | 35.9099 | − | 12.4291i | 0.944996 | − | 0.327081i | ||||
\(39\) | 109.662i | 2.81184i | ||||||||
\(40\) | −0.764244 | + | 24.7942i | −0.0191061 | + | 0.619854i | ||||
\(41\) | −5.39602 | − | 30.6024i | −0.131610 | − | 0.746399i | −0.977160 | − | 0.212503i | \(-0.931838\pi\) |
0.845550 | − | 0.533896i | \(-0.179273\pi\) | |||||||
\(42\) | 96.6121 | + | 6.62334i | 2.30029 | + | 0.157699i | ||||
\(43\) | −10.4150 | − | 12.4121i | −0.242208 | − | 0.288653i | 0.631222 | − | 0.775603i | \(-0.282554\pi\) |
−0.873430 | + | 0.486950i | \(0.838109\pi\) | |||||||
\(44\) | 15.8451 | − | 29.9974i | 0.360115 | − | 0.681759i | ||||
\(45\) | 24.5791 | − | 42.5723i | 0.546203 | − | 0.946052i | ||||
\(46\) | 6.14388 | − | 13.8502i | 0.133563 | − | 0.301092i | ||||
\(47\) | −17.8508 | − | 49.0447i | −0.379804 | − | 1.04350i | −0.971437 | − | 0.237296i | \(-0.923739\pi\) |
0.591633 | − | 0.806207i | \(-0.298483\pi\) | |||||||
\(48\) | 21.5676 | − | 76.7944i | 0.449326 | − | 1.59988i | ||||
\(49\) | 22.6648 | + | 39.2566i | 0.462548 | + | 0.801156i | ||||
\(50\) | −3.25817 | − | 30.5978i | −0.0651634 | − | 0.611956i | ||||
\(51\) | 78.6883 | + | 13.8749i | 1.54291 | + | 0.272056i | ||||
\(52\) | 33.1830 | + | 81.4900i | 0.638135 | + | 1.56712i | ||||
\(53\) | 55.0654 | + | 46.2053i | 1.03897 | + | 0.871799i | 0.991891 | − | 0.127093i | \(-0.0405645\pi\) |
0.0470783 | + | 0.998891i | \(0.485009\pi\) | |||||||
\(54\) | −47.4032 | + | 49.2217i | −0.877837 | + | 0.911512i | ||||
\(55\) | 8.99453 | − | 24.7123i | 0.163537 | − | 0.449314i | ||||
\(56\) | 73.7970 | − | 24.3125i | 1.31780 | − | 0.434151i | ||||
\(57\) | −92.2889 | + | 21.3295i | −1.61910 | + | 0.374202i | ||||
\(58\) | 3.45297 | − | 2.51593i | 0.0595339 | − | 0.0433781i | ||||
\(59\) | −18.8009 | + | 51.6550i | −0.318659 | + | 0.875508i | 0.672171 | + | 0.740396i | \(0.265362\pi\) |
−0.990830 | + | 0.135113i | \(0.956860\pi\) | |||||||
\(60\) | 8.43841 | − | 61.2547i | 0.140640 | − | 1.02091i | ||||
\(61\) | −50.2381 | − | 42.1547i | −0.823575 | − | 0.691061i | 0.130232 | − | 0.991484i | \(-0.458428\pi\) |
−0.953806 | + | 0.300422i | \(0.902872\pi\) | |||||||
\(62\) | −14.8716 | − | 3.68635i | −0.239864 | − | 0.0594573i | ||||
\(63\) | −151.637 | − | 26.7378i | −2.40694 | − | 0.424409i | ||||
\(64\) | −7.21060 | − | 63.5925i | −0.112666 | − | 0.993633i | ||||
\(65\) | 34.1032 | + | 59.0685i | 0.524665 | + | 0.908746i | ||||
\(66\) | −47.1920 | + | 70.1713i | −0.715030 | + | 1.06320i | ||||
\(67\) | −11.7982 | − | 32.4153i | −0.176093 | − | 0.483810i | 0.819976 | − | 0.572398i | \(-0.193987\pi\) |
−0.996068 | + | 0.0885878i | \(0.971765\pi\) | |||||||
\(68\) | 62.6720 | − | 13.5002i | 0.921648 | − | 0.198532i | ||||
\(69\) | −18.8842 | + | 32.7084i | −0.273684 | + | 0.474035i | ||||
\(70\) | 54.0992 | − | 26.4774i | 0.772846 | − | 0.378248i | ||||
\(71\) | −18.4733 | − | 22.0156i | −0.260187 | − | 0.310079i | 0.620098 | − | 0.784525i | \(-0.287093\pi\) |
−0.880285 | + | 0.474446i | \(0.842648\pi\) | |||||||
\(72\) | −47.0295 | + | 117.788i | −0.653188 | + | 1.63594i | ||||
\(73\) | −7.46340 | − | 42.3270i | −0.102238 | − | 0.579823i | −0.992287 | − | 0.123958i | \(-0.960441\pi\) |
0.890049 | − | 0.455865i | \(-0.150670\pi\) | |||||||
\(74\) | 57.0788 | − | 16.4514i | 0.771336 | − | 0.222316i | ||||
\(75\) | 76.7015i | 1.02269i | ||||||||
\(76\) | −62.1260 | + | 43.7762i | −0.817448 | + | 0.576002i | ||||
\(77\) | −82.3730 | −1.06978 | ||||||||
\(78\) | −60.7413 | − | 210.744i | −0.778734 | − | 2.70185i | ||||
\(79\) | 45.6288 | − | 8.04560i | 0.577580 | − | 0.101843i | 0.122776 | − | 0.992434i | \(-0.460820\pi\) |
0.454804 | + | 0.890591i | \(0.349709\pi\) | |||||||
\(80\) | −12.2647 | − | 48.0720i | −0.153309 | − | 0.600900i | ||||
\(81\) | 21.1862 | − | 17.7773i | 0.261558 | − | 0.219473i | ||||
\(82\) | 27.3205 | + | 55.8218i | 0.333176 | + | 0.680754i | ||||
\(83\) | 123.443 | + | 71.2697i | 1.48726 | + | 0.858672i | 0.999895 | − | 0.0145248i | \(-0.00462355\pi\) |
0.487368 | + | 0.873196i | \(0.337957\pi\) | |||||||
\(84\) | −189.335 | + | 40.7846i | −2.25399 | + | 0.485531i | ||||
\(85\) | 46.6998 | − | 16.9973i | 0.549409 | − | 0.199969i | ||||
\(86\) | 26.8902 | + | 18.0843i | 0.312676 | + | 0.210283i | ||||
\(87\) | −9.22279 | + | 5.32478i | −0.106009 | + | 0.0612044i | ||||
\(88\) | −13.8351 | + | 66.4247i | −0.157217 | + | 0.754826i | ||||
\(89\) | 14.4005 | − | 81.6693i | 0.161803 | − | 0.917632i | −0.790496 | − | 0.612467i | \(-0.790177\pi\) |
0.952299 | − | 0.305165i | \(-0.0987117\pi\) | |||||||
\(90\) | −23.6548 | + | 95.4285i | −0.262831 | + | 1.06032i | ||||
\(91\) | 137.325 | − | 163.658i | 1.50907 | − | 1.79844i | ||||
\(92\) | −4.13554 | + | 30.0200i | −0.0449515 | + | 0.326304i | ||||
\(93\) | 35.8886 | + | 13.0624i | 0.385899 | + | 0.140456i | ||||
\(94\) | 61.4708 | + | 84.3650i | 0.653945 | + | 0.897500i | ||||
\(95\) | −43.0776 | + | 40.1895i | −0.453448 | + | 0.423048i | ||||
\(96\) | 1.08821 | + | 159.527i | 0.0113355 | + | 1.66174i | ||||
\(97\) | 143.478 | + | 52.2217i | 1.47915 | + | 0.538368i | 0.950569 | − | 0.310513i | \(-0.100501\pi\) |
0.528584 | + | 0.848881i | \(0.322723\pi\) | |||||||
\(98\) | −65.3007 | − | 62.8882i | −0.666334 | − | 0.641717i | ||||
\(99\) | 86.4289 | − | 103.002i | 0.873020 | − | 1.04042i | ||||
\(100\) | 23.2095 | + | 56.9972i | 0.232095 | + | 0.569972i | ||||
\(101\) | 24.8471 | − | 140.915i | 0.246010 | − | 1.39519i | −0.572124 | − | 0.820167i | \(-0.693880\pi\) |
0.818134 | − | 0.575027i | \(-0.195009\pi\) | |||||||
\(102\) | −158.906 | + | 16.9209i | −1.55790 | + | 0.165891i | ||||
\(103\) | −66.2327 | + | 38.2395i | −0.643036 | + | 0.371257i | −0.785783 | − | 0.618502i | \(-0.787740\pi\) |
0.142747 | + | 0.989759i | \(0.454406\pi\) | |||||||
\(104\) | −108.907 | − | 138.225i | −1.04718 | − | 1.32909i | ||||
\(105\) | −141.082 | + | 51.3496i | −1.34364 | + | 0.489044i | ||||
\(106\) | −131.416 | − | 58.2954i | −1.23977 | − | 0.549957i | ||||
\(107\) | 67.6922 | + | 39.0821i | 0.632637 | + | 0.365253i | 0.781773 | − | 0.623564i | \(-0.214316\pi\) |
−0.149136 | + | 0.988817i | \(0.547649\pi\) | |||||||
\(108\) | 63.8343 | − | 120.849i | 0.591058 | − | 1.11897i | ||||
\(109\) | 93.5867 | − | 78.5285i | 0.858593 | − | 0.720445i | −0.103071 | − | 0.994674i | \(-0.532867\pi\) |
0.961665 | + | 0.274229i | \(0.0884225\pi\) | |||||||
\(110\) | −3.59736 | + | 52.4733i | −0.0327033 | + | 0.477030i | ||||
\(111\) | −145.821 | + | 25.7122i | −1.31371 | + | 0.231642i | ||||
\(112\) | −128.354 | + | 87.5989i | −1.14602 | + | 0.782133i | ||||
\(113\) | −70.8625 | −0.627102 | −0.313551 | − | 0.949571i | \(-0.601519\pi\) | ||||
−0.313551 | + | 0.949571i | \(0.601519\pi\) | |||||||
\(114\) | 165.544 | − | 92.1090i | 1.45214 | − | 0.807973i | ||||
\(115\) | 23.4909i | 0.204268i | ||||||||
\(116\) | −5.24224 | + | 6.74763i | −0.0451917 | + | 0.0581692i | ||||
\(117\) | 60.5564 | + | 343.433i | 0.517576 | + | 2.93532i | ||||
\(118\) | 7.51941 | − | 109.683i | 0.0637238 | − | 0.929515i | ||||
\(119\) | −100.059 | − | 119.245i | −0.840829 | − | 1.00206i | ||||
\(120\) | 17.7121 | + | 122.391i | 0.147601 | + | 1.01993i | ||||
\(121\) | −24.5340 | + | 42.4942i | −0.202761 | + | 0.351192i | ||||
\(122\) | 119.895 | + | 53.1850i | 0.982749 | + | 0.435942i | ||||
\(123\) | −52.9847 | − | 145.574i | −0.430770 | − | 1.18353i | ||||
\(124\) | 30.6216 | − | 1.15299i | 0.246948 | − | 0.00929831i | ||||
\(125\) | 62.6124 | + | 108.448i | 0.500899 | + | 0.867583i | ||||
\(126\) | 306.222 | − | 32.6077i | 2.43033 | − | 0.258791i | ||||
\(127\) | 33.3838 | + | 5.88646i | 0.262864 | + | 0.0463501i | 0.303527 | − | 0.952823i | \(-0.401836\pi\) |
−0.0406626 | + | 0.999173i | \(0.512947\pi\) | |||||||
\(128\) | 49.0808 | + | 118.216i | 0.383444 | + | 0.923564i | ||||
\(129\) | −61.8785 | − | 51.9222i | −0.479678 | − | 0.402498i | ||||
\(130\) | −98.2564 | − | 94.6263i | −0.755818 | − | 0.727895i | ||||
\(131\) | 28.3793 | − | 77.9715i | 0.216636 | − | 0.595202i | −0.783004 | − | 0.622016i | \(-0.786314\pi\) |
0.999640 | + | 0.0268136i | \(0.00853606\pi\) | |||||||
\(132\) | 51.8245 | − | 160.993i | 0.392610 | − | 1.21964i | ||||
\(133\) | 164.441 | + | 83.7381i | 1.23640 | + | 0.629610i | ||||
\(134\) | 40.6282 | + | 55.7597i | 0.303195 | + | 0.416117i | ||||
\(135\) | 36.2359 | − | 99.5572i | 0.268414 | − | 0.737461i | ||||
\(136\) | −112.963 | + | 60.6581i | −0.830614 | + | 0.446015i | ||||
\(137\) | −166.421 | − | 139.644i | −1.21475 | − | 1.01930i | −0.999082 | − | 0.0428309i | \(-0.986362\pi\) |
−0.215669 | − | 0.976467i | \(-0.569193\pi\) | |||||||
\(138\) | 18.1740 | − | 73.3179i | 0.131696 | − | 0.531289i | ||||
\(139\) | −136.012 | − | 23.9827i | −0.978507 | − | 0.172537i | −0.338550 | − | 0.940948i | \(-0.609937\pi\) |
−0.639957 | + | 0.768411i | \(0.721048\pi\) | |||||||
\(140\) | −89.3004 | + | 80.8488i | −0.637860 | + | 0.577491i | ||||
\(141\) | −130.098 | − | 225.337i | −0.922683 | − | 1.59813i | ||||
\(142\) | 47.6957 | + | 32.0766i | 0.335885 | + | 0.225891i | ||||
\(143\) | 63.8075 | + | 175.310i | 0.446206 | + | 1.22594i | ||||
\(144\) | 25.1376 | − | 252.411i | 0.174566 | − | 1.75285i | ||||
\(145\) | −3.31186 | + | 5.73631i | −0.0228404 | + | 0.0395608i | ||||
\(146\) | 37.7878 | + | 77.2089i | 0.258820 | + | 0.528828i | ||||
\(147\) | 145.260 | + | 173.114i | 0.988162 | + | 1.17765i | ||||
\(148\) | −100.580 | + | 63.2316i | −0.679595 | + | 0.427241i | ||||
\(149\) | 20.6772 | + | 117.266i | 0.138773 | + | 0.787022i | 0.972158 | + | 0.234328i | \(0.0752890\pi\) |
−0.833384 | + | 0.552694i | \(0.813600\pi\) | |||||||
\(150\) | −42.4847 | − | 147.403i | −0.283232 | − | 0.982684i | ||||
\(151\) | − | 136.916i | − | 0.906725i | −0.891326 | − | 0.453363i | \(-0.850224\pi\) | ||
0.891326 | − | 0.453363i | \(-0.149776\pi\) | |||||||
\(152\) | 95.1444 | − | 118.539i | 0.625950 | − | 0.779863i | ||||
\(153\) | 254.094 | 1.66074 | ||||||||
\(154\) | 158.302 | − | 45.6262i | 1.02794 | − | 0.296274i | ||||
\(155\) | 23.3934 | − | 4.12488i | 0.150925 | − | 0.0266121i | ||||
\(156\) | 233.461 | + | 371.358i | 1.49655 | + | 2.38050i | ||||
\(157\) | 91.4124 | − | 76.7041i | 0.582244 | − | 0.488561i | −0.303439 | − | 0.952851i | \(-0.598135\pi\) |
0.885683 | + | 0.464290i | \(0.153690\pi\) | |||||||
\(158\) | −83.2317 | + | 40.7355i | −0.526783 | + | 0.257819i | ||||
\(159\) | 310.349 | + | 179.180i | 1.95188 | + | 1.12692i | ||||
\(160\) | 50.1969 | + | 85.5899i | 0.313731 | + | 0.534937i | ||||
\(161\) | 69.1421 | − | 25.1657i | 0.429454 | − | 0.156309i | ||||
\(162\) | −30.8682 | + | 45.8989i | −0.190544 | + | 0.283326i | ||||
\(163\) | −198.429 | + | 114.563i | −1.21735 | + | 0.702840i | −0.964351 | − | 0.264626i | \(-0.914752\pi\) |
−0.253003 | + | 0.967466i | \(0.581418\pi\) | |||||||
\(164\) | −83.4232 | − | 92.1440i | −0.508678 | − | 0.561854i | ||||
\(165\) | 22.7663 | − | 129.114i | 0.137978 | − | 0.782510i | ||||
\(166\) | −276.705 | − | 68.5894i | −1.66690 | − | 0.413189i | ||||
\(167\) | −166.760 | + | 198.737i | −0.998565 | + | 1.19004i | −0.0168172 | + | 0.999859i | \(0.505353\pi\) |
−0.981748 | + | 0.190185i | \(0.939091\pi\) | |||||||
\(168\) | 341.267 | − | 183.251i | 2.03135 | − | 1.09078i | ||||
\(169\) | −295.870 | − | 107.688i | −1.75071 | − | 0.637207i | ||||
\(170\) | −80.3314 | + | 58.5318i | −0.472538 | + | 0.344305i | ||||
\(171\) | −277.247 | + | 117.762i | −1.62133 | + | 0.688665i | ||||
\(172\) | −61.6935 | − | 19.8595i | −0.358683 | − | 0.115462i | ||||
\(173\) | −121.091 | − | 44.0735i | −0.699948 | − | 0.254760i | −0.0325591 | − | 0.999470i | \(-0.510366\pi\) |
−0.667389 | + | 0.744710i | \(0.732588\pi\) | |||||||
\(174\) | 14.7747 | − | 15.3415i | 0.0849120 | − | 0.0881694i | ||||
\(175\) | 96.0506 | − | 114.469i | 0.548861 | − | 0.654107i | ||||
\(176\) | −10.2046 | − | 135.316i | −0.0579804 | − | 0.768841i | ||||
\(177\) | −47.5874 | + | 269.882i | −0.268856 | + | 1.52476i | ||||
\(178\) | 17.5619 | + | 164.926i | 0.0986625 | + | 0.926550i | ||||
\(179\) | 116.304 | − | 67.1482i | 0.649744 | − | 0.375130i | −0.138614 | − | 0.990346i | \(-0.544265\pi\) |
0.788358 | + | 0.615217i | \(0.210932\pi\) | |||||||
\(180\) | −7.39856 | − | 196.494i | −0.0411031 | − | 1.09163i | ||||
\(181\) | 246.720 | − | 89.7988i | 1.36310 | − | 0.496126i | 0.446085 | − | 0.894991i | \(-0.352818\pi\) |
0.917010 | + | 0.398864i | \(0.130596\pi\) | |||||||
\(182\) | −173.258 | + | 390.577i | −0.951967 | + | 2.14603i | ||||
\(183\) | −283.142 | − | 163.472i | −1.54723 | − | 0.893292i | ||||
\(184\) | −8.68043 | − | 59.9822i | −0.0471763 | − | 0.325990i | ||||
\(185\) | −70.5495 | + | 59.1980i | −0.381348 | + | 0.319989i | ||||
\(186\) | −76.2048 | − | 5.22430i | −0.409703 | − | 0.0280876i | ||||
\(187\) | 133.868 | − | 23.6045i | 0.715869 | − | 0.126227i | ||||
\(188\) | −164.862 | − | 128.082i | −0.876927 | − | 0.681285i | ||||
\(189\) | −331.852 | −1.75583 | ||||||||
\(190\) | 60.5243 | − | 101.096i | 0.318549 | − | 0.532082i | ||||
\(191\) | 112.860i | 0.590890i | 0.955360 | + | 0.295445i | \(0.0954679\pi\) | ||||
−0.955360 | + | 0.295445i | \(0.904532\pi\) | |||||||
\(192\) | −90.4531 | − | 305.972i | −0.471110 | − | 1.59361i | ||||
\(193\) | −8.66327 | − | 49.1319i | −0.0448874 | − | 0.254569i | 0.954104 | − | 0.299476i | \(-0.0968119\pi\) |
−0.998991 | + | 0.0449071i | \(0.985701\pi\) | |||||||
\(194\) | −304.657 | − | 20.8861i | −1.57040 | − | 0.107660i | ||||
\(195\) | 218.569 | + | 260.480i | 1.12087 | + | 1.33580i | ||||
\(196\) | 160.327 | + | 84.6868i | 0.817993 | + | 0.432076i | ||||
\(197\) | 7.51225 | − | 13.0116i | 0.0381333 | − | 0.0660488i | −0.846329 | − | 0.532661i | \(-0.821192\pi\) |
0.884462 | + | 0.466612i | \(0.154526\pi\) | |||||||
\(198\) | −109.044 | + | 245.819i | −0.550727 | + | 1.24151i | ||||
\(199\) | 57.1343 | + | 156.975i | 0.287107 | + | 0.788820i | 0.996468 | + | 0.0839746i | \(0.0267615\pi\) |
−0.709361 | + | 0.704846i | \(0.751016\pi\) | |||||||
\(200\) | −76.1738 | − | 96.6798i | −0.380869 | − | 0.483399i | ||||
\(201\) | −85.9864 | − | 148.933i | −0.427793 | − | 0.740959i | ||||
\(202\) | 30.3019 | + | 284.568i | 0.150009 | + | 1.40875i | ||||
\(203\) | 20.4320 | + | 3.60272i | 0.100650 | + | 0.0177474i | ||||
\(204\) | 296.008 | − | 120.536i | 1.45102 | − | 0.590861i | ||||
\(205\) | −73.8114 | − | 61.9351i | −0.360056 | − | 0.302122i | ||||
\(206\) | 106.103 | − | 110.174i | 0.515065 | − | 0.534823i | ||||
\(207\) | −41.0786 | + | 112.862i | −0.198447 | + | 0.545229i | ||||
\(208\) | 285.857 | + | 205.313i | 1.37431 | + | 0.987083i | ||||
\(209\) | −135.126 | + | 87.7973i | −0.646536 | + | 0.420083i | ||||
\(210\) | 242.685 | − | 176.827i | 1.15564 | − | 0.842034i | ||||
\(211\) | 46.4753 | − | 127.690i | 0.220262 | − | 0.605165i | −0.779513 | − | 0.626386i | \(-0.784533\pi\) |
0.999775 | + | 0.0212215i | \(0.00675554\pi\) | |||||||
\(212\) | 284.841 | + | 39.2395i | 1.34359 | + | 0.185092i | ||||
\(213\) | −109.755 | − | 92.0957i | −0.515283 | − | 0.432374i | ||||
\(214\) | −151.736 | − | 37.6123i | −0.709048 | − | 0.175758i | ||||
\(215\) | −49.4775 | − | 8.72421i | −0.230128 | − | 0.0405777i | ||||
\(216\) | −55.7368 | + | 267.602i | −0.258041 | + | 1.23890i | ||||
\(217\) | −37.2023 | − | 64.4362i | −0.171439 | − | 0.296941i | ||||
\(218\) | −136.355 | + | 202.751i | −0.625483 | + | 0.930051i | ||||
\(219\) | −73.2848 | − | 201.348i | −0.334634 | − | 0.919398i | ||||
\(220\) | −22.1515 | − | 102.834i | −0.100689 | − | 0.467428i | ||||
\(221\) | −176.276 | + | 305.318i | −0.797627 | + | 1.38153i | ||||
\(222\) | 265.993 | − | 130.183i | 1.19817 | − | 0.586410i | ||||
\(223\) | −23.8995 | − | 28.4823i | −0.107173 | − | 0.127723i | 0.709792 | − | 0.704412i | \(-0.248789\pi\) |
−0.816964 | + | 0.576688i | \(0.804345\pi\) | |||||||
\(224\) | 198.147 | − | 239.440i | 0.884583 | − | 1.06893i | ||||
\(225\) | 42.3555 | + | 240.210i | 0.188246 | + | 1.06760i | ||||
\(226\) | 136.181 | − | 39.2506i | 0.602573 | − | 0.173675i | ||||
\(227\) | − | 163.724i | − | 0.721250i | −0.932711 | − | 0.360625i | \(-0.882563\pi\) | ||
0.932711 | − | 0.360625i | \(-0.117437\pi\) | |||||||
\(228\) | −267.118 | + | 268.706i | −1.17157 | + | 1.17854i | ||||
\(229\) | 41.4636 | 0.181064 | 0.0905318 | − | 0.995894i | \(-0.471143\pi\) | ||||
0.0905318 | + | 0.995894i | \(0.471143\pi\) | |||||||
\(230\) | −13.0115 | − | 45.1440i | −0.0565718 | − | 0.196278i | ||||
\(231\) | −404.420 | + | 71.3101i | −1.75073 | + | 0.308702i | ||||
\(232\) | 6.33689 | − | 15.8711i | 0.0273142 | − | 0.0684097i | ||||
\(233\) | 165.745 | − | 139.076i | 0.711351 | − | 0.596894i | −0.213627 | − | 0.976915i | \(-0.568528\pi\) |
0.924978 | + | 0.380021i | \(0.124083\pi\) | |||||||
\(234\) | −306.602 | − | 626.456i | −1.31026 | − | 2.67716i | ||||
\(235\) | −140.153 | − | 80.9174i | −0.596396 | − | 0.344329i | ||||
\(236\) | 46.3024 | + | 214.950i | 0.196196 | + | 0.910805i | ||||
\(237\) | 217.055 | − | 79.0015i | 0.915843 | − | 0.333340i | ||||
\(238\) | 258.339 | + | 173.740i | 1.08546 | + | 0.729999i | ||||
\(239\) | 158.015 | − | 91.2300i | 0.661151 | − | 0.381715i | −0.131565 | − | 0.991308i | \(-0.542000\pi\) |
0.792715 | + | 0.609592i | \(0.208667\pi\) | |||||||
\(240\) | −101.831 | − | 225.397i | −0.424295 | − | 0.939155i | ||||
\(241\) | −61.6041 | + | 349.374i | −0.255619 | + | 1.44969i | 0.538860 | + | 0.842395i | \(0.318855\pi\) |
−0.794479 | + | 0.607291i | \(0.792256\pi\) | |||||||
\(242\) | 23.6113 | − | 95.2533i | 0.0975675 | − | 0.393609i | ||||
\(243\) | −109.039 | + | 129.948i | −0.448722 | + | 0.534766i | ||||
\(244\) | −259.870 | − | 35.7996i | −1.06504 | − | 0.146720i | ||||
\(245\) | 132.079 | + | 48.0729i | 0.539099 | + | 0.196216i | ||||
\(246\) | 182.458 | + | 250.412i | 0.741698 | + | 1.01794i | ||||
\(247\) | 50.8360 | − | 414.836i | 0.205814 | − | 1.67950i | ||||
\(248\) | −58.2090 | + | 19.1770i | −0.234714 | + | 0.0773265i | ||||
\(249\) | 667.754 | + | 243.043i | 2.68174 | + | 0.976075i | ||||
\(250\) | −180.395 | − | 173.731i | −0.721582 | − | 0.694924i | ||||
\(251\) | −23.5121 | + | 28.0207i | −0.0936738 | + | 0.111636i | −0.810845 | − | 0.585261i | \(-0.800992\pi\) |
0.717171 | + | 0.696897i | \(0.245437\pi\) | |||||||
\(252\) | −570.427 | + | 232.280i | −2.26360 | + | 0.921746i | ||||
\(253\) | −11.1574 | + | 63.2769i | −0.0441005 | + | 0.250106i | ||||
\(254\) | −67.4164 | + | 7.17875i | −0.265419 | + | 0.0282628i | ||||
\(255\) | 214.563 | − | 123.878i | 0.841424 | − | 0.485796i | ||||
\(256\) | −159.802 | − | 199.999i | −0.624225 | − | 0.781245i | ||||
\(257\) | 1.80290 | − | 0.656204i | 0.00701519 | − | 0.00255332i | −0.338510 | − | 0.940963i | \(-0.609923\pi\) |
0.345525 | + | 0.938409i | \(0.387701\pi\) | |||||||
\(258\) | 147.676 | + | 65.5082i | 0.572387 | + | 0.253908i | ||||
\(259\) | 249.821 | + | 144.234i | 0.964559 | + | 0.556888i | ||||
\(260\) | 241.239 | + | 127.426i | 0.927844 | + | 0.490100i | ||||
\(261\) | −25.9430 | + | 21.7688i | −0.0993986 | + | 0.0834053i | ||||
\(262\) | −11.3503 | + | 165.563i | −0.0433218 | + | 0.631918i | ||||
\(263\) | 150.893 | − | 26.6066i | 0.573739 | − | 0.101166i | 0.120752 | − | 0.992683i | \(-0.461469\pi\) |
0.452987 | + | 0.891517i | \(0.350358\pi\) | |||||||
\(264\) | −10.4213 | + | 338.096i | −0.0394747 | + | 1.28067i | ||||
\(265\) | 222.890 | 0.841094 | ||||||||
\(266\) | −362.401 | − | 69.8418i | −1.36241 | − | 0.262563i | ||||
\(267\) | − | 413.431i | − | 1.54843i | ||||||
\(268\) | −108.963 | − | 84.6535i | −0.406579 | − | 0.315871i | ||||
\(269\) | −76.1222 | − | 431.710i | −0.282982 | − | 1.60487i | −0.712405 | − | 0.701768i | \(-0.752394\pi\) |
0.429423 | − | 0.903103i | \(-0.358717\pi\) | |||||||
\(270\) | −14.4925 | + | 211.397i | −0.0536760 | + | 0.782952i | ||||
\(271\) | 71.9024 | + | 85.6899i | 0.265322 | + | 0.316199i | 0.882214 | − | 0.470850i | \(-0.156053\pi\) |
−0.616891 | + | 0.787049i | \(0.711608\pi\) | |||||||
\(272\) | 183.491 | − | 179.141i | 0.674601 | − | 0.658607i | ||||
\(273\) | 532.536 | − | 922.379i | 1.95068 | − | 3.37868i | ||||
\(274\) | 397.171 | + | 176.183i | 1.44953 | + | 0.643004i | ||||
\(275\) | 44.6294 | + | 122.618i | 0.162289 | + | 0.445885i | ||||
\(276\) | 5.68433 | + | 150.967i | 0.0205954 | + | 0.546980i | ||||
\(277\) | 33.9635 | + | 58.8265i | 0.122612 | + | 0.212370i | 0.920797 | − | 0.390042i | \(-0.127540\pi\) |
−0.798185 | + | 0.602412i | \(0.794206\pi\) | |||||||
\(278\) | 274.669 | − | 29.2477i | 0.988016 | − | 0.105208i | ||||
\(279\) | 119.607 | + | 21.0900i | 0.428700 | + | 0.0755913i | ||||
\(280\) | 126.833 | − | 204.836i | 0.452975 | − | 0.731557i | ||||
\(281\) | −18.9983 | − | 15.9415i | −0.0676097 | − | 0.0567313i | 0.608357 | − | 0.793664i | \(-0.291829\pi\) |
−0.675966 | + | 0.736933i | \(0.736274\pi\) | |||||||
\(282\) | 374.832 | + | 360.984i | 1.32919 | + | 1.28009i | ||||
\(283\) | −5.85053 | + | 16.0742i | −0.0206732 | + | 0.0567993i | −0.949600 | − | 0.313464i | \(-0.898510\pi\) |
0.928927 | + | 0.370264i | \(0.120733\pi\) | |||||||
\(284\) | −109.427 | − | 35.2253i | −0.385307 | − | 0.124033i | ||||
\(285\) | −176.702 | + | 234.607i | −0.620008 | + | 0.823182i | ||||
\(286\) | −219.727 | − | 301.562i | −0.768276 | − | 1.05441i | ||||
\(287\) | −103.224 | + | 283.605i | −0.359664 | + | 0.988170i | ||||
\(288\) | 91.5009 | + | 498.999i | 0.317711 | + | 1.73263i | ||||
\(289\) | −24.6073 | − | 20.6480i | −0.0851464 | − | 0.0714463i | ||||
\(290\) | 3.18731 | − | 12.8583i | 0.0109907 | − | 0.0443389i | ||||
\(291\) | 749.628 | + | 132.180i | 2.57604 | + | 0.454226i | ||||
\(292\) | −115.385 | − | 127.447i | −0.395155 | − | 0.436463i | ||||
\(293\) | 36.6813 | + | 63.5338i | 0.125192 | + | 0.216839i | 0.921808 | − | 0.387647i | \(-0.126712\pi\) |
−0.796616 | + | 0.604486i | \(0.793379\pi\) | |||||||
\(294\) | −375.043 | − | 252.226i | −1.27566 | − | 0.857912i | ||||
\(295\) | 58.2967 | + | 160.169i | 0.197616 | + | 0.542945i | ||||
\(296\) | 158.268 | − | 177.228i | 0.534688 | − | 0.598742i | ||||
\(297\) | 144.894 | − | 250.965i | 0.487860 | − | 0.844999i | ||||
\(298\) | −104.690 | − | 213.906i | −0.351310 | − | 0.717804i | ||||
\(299\) | −107.117 | − | 127.657i | −0.358252 | − | 0.426948i | ||||
\(300\) | 163.292 | + | 259.742i | 0.544306 | + | 0.865806i | ||||
\(301\) | 27.3265 | + | 154.976i | 0.0907858 | + | 0.514872i | ||||
\(302\) | 75.8371 | + | 263.120i | 0.251116 | + | 0.871259i | ||||
\(303\) | − | 713.346i | − | 2.35428i | ||||||
\(304\) | −117.187 | + | 280.505i | −0.385484 | + | 0.922714i | ||||
\(305\) | −203.350 | −0.666722 | ||||||||
\(306\) | −488.309 | + | 140.742i | −1.59578 | + | 0.459940i | ||||
\(307\) | −528.495 | + | 93.1880i | −1.72148 | + | 0.303544i | −0.945115 | − | 0.326737i | \(-0.894051\pi\) |
−0.776368 | + | 0.630280i | \(0.782940\pi\) | |||||||
\(308\) | −278.948 | + | 175.366i | −0.905674 | + | 0.569370i | ||||
\(309\) | −292.073 | + | 245.078i | −0.945220 | + | 0.793134i | ||||
\(310\) | −42.6719 | + | 20.8846i | −0.137651 | + | 0.0673696i | ||||
\(311\) | −50.3529 | − | 29.0713i | −0.161906 | − | 0.0934767i | 0.416858 | − | 0.908972i | \(-0.363131\pi\) |
−0.578764 | + | 0.815495i | \(0.696465\pi\) | |||||||
\(312\) | −654.353 | − | 584.351i | −2.09729 | − | 1.87292i | ||||
\(313\) | −522.107 | + | 190.031i | −1.66807 | + | 0.607129i | −0.991601 | − | 0.129338i | \(-0.958715\pi\) |
−0.676473 | + | 0.736467i | \(0.736493\pi\) | |||||||
\(314\) | −133.187 | + | 198.041i | −0.424164 | + | 0.630703i | ||||
\(315\) | −413.477 | + | 238.721i | −1.31263 | + | 0.757845i | ||||
\(316\) | 137.389 | − | 124.386i | 0.434775 | − | 0.393626i | ||||
\(317\) | −30.8285 | + | 174.837i | −0.0972507 | + | 0.551536i | 0.896784 | + | 0.442469i | \(0.145897\pi\) |
−0.994034 | + | 0.109067i | \(0.965214\pi\) | |||||||
\(318\) | −695.667 | − | 172.442i | −2.18763 | − | 0.542269i | ||||
\(319\) | −11.6457 | + | 13.8788i | −0.0365068 | + | 0.0435071i | ||||
\(320\) | −143.875 | − | 136.680i | −0.449609 | − | 0.427126i | ||||
\(321\) | 366.175 | + | 133.277i | 1.14073 | + | 0.415193i | ||||
\(322\) | −118.936 | + | 86.6603i | −0.369367 | + | 0.269131i | ||||
\(323\) | −291.235 | − | 88.9644i | −0.901658 | − | 0.275432i | ||||
\(324\) | 33.8982 | − | 105.305i | 0.104624 | − | 0.325015i | ||||
\(325\) | −318.019 | − | 115.750i | −0.978521 | − | 0.356152i | ||||
\(326\) | 317.878 | − | 330.073i | 0.975087 | − | 1.01249i | ||||
\(327\) | 391.492 | − | 466.562i | 1.19722 | − | 1.42680i | ||||
\(328\) | 211.358 | + | 130.872i | 0.644385 | + | 0.398999i | ||||
\(329\) | −88.0238 | + | 499.208i | −0.267550 | + | 1.51735i | ||||
\(330\) | 27.7643 | + | 260.738i | 0.0841344 | + | 0.790115i | ||||
\(331\) | −138.083 | + | 79.7223i | −0.417169 | + | 0.240853i | −0.693865 | − | 0.720105i | \(-0.744094\pi\) |
0.276696 | + | 0.960957i | \(0.410760\pi\) | |||||||
\(332\) | 569.754 | − | 21.4529i | 1.71613 | − | 0.0646172i | ||||
\(333\) | −442.477 | + | 161.048i | −1.32876 | + | 0.483629i | ||||
\(334\) | 210.395 | − | 474.295i | 0.629925 | − | 1.42005i | ||||
\(335\) | −92.6319 | − | 53.4811i | −0.276513 | − | 0.159645i | ||||
\(336\) | −554.335 | + | 541.193i | −1.64981 | + | 1.61069i | ||||
\(337\) | 44.1059 | − | 37.0092i | 0.130878 | − | 0.109820i | −0.574999 | − | 0.818154i | \(-0.694998\pi\) |
0.705877 | + | 0.708334i | \(0.250553\pi\) | |||||||
\(338\) | 628.243 | + | 43.0698i | 1.85871 | + | 0.127425i | ||||
\(339\) | −347.907 | + | 61.3455i | −1.02628 | + | 0.180960i | ||||
\(340\) | 121.958 | − | 156.980i | 0.358700 | − | 0.461706i | ||||
\(341\) | 64.9735 | 0.190538 | ||||||||
\(342\) | 467.577 | − | 379.877i | 1.36718 | − | 1.11075i | ||||
\(343\) | 35.6475i | 0.103929i | ||||||||
\(344\) | 129.561 | + | 3.99352i | 0.376630 | + | 0.0116091i | ||||
\(345\) | 20.3360 | + | 115.331i | 0.0589448 | + | 0.334293i | ||||
\(346\) | 257.121 | + | 17.6272i | 0.743124 | + | 0.0509456i | ||||
\(347\) | 217.954 | + | 259.747i | 0.628109 | + | 0.748551i | 0.982442 | − | 0.186568i | \(-0.0597365\pi\) |
−0.354333 | + | 0.935119i | \(0.615292\pi\) | |||||||
\(348\) | −19.8960 | + | 37.6664i | −0.0571723 | + | 0.108237i | ||||
\(349\) | 174.648 | − | 302.498i | 0.500423 | − | 0.866758i | −0.499577 | − | 0.866269i | \(-0.666511\pi\) |
1.00000 | 0.000488300i | \(-0.000155431\pi\) | ||||||||
\(350\) | −121.183 | + | 273.184i | −0.346238 | + | 0.780527i | ||||
\(351\) | 257.058 | + | 706.262i | 0.732360 | + | 2.01214i | ||||
\(352\) | 94.5620 | + | 254.394i | 0.268642 | + | 0.722710i | ||||
\(353\) | 54.8594 | + | 95.0193i | 0.155409 | + | 0.269177i | 0.933208 | − | 0.359337i | \(-0.116997\pi\) |
−0.777799 | + | 0.628513i | \(0.783664\pi\) | |||||||
\(354\) | −58.0346 | − | 545.009i | −0.163940 | − | 1.53957i | ||||
\(355\) | −87.7594 | − | 15.4743i | −0.247210 | − | 0.0435897i | ||||
\(356\) | −125.102 | − | 307.222i | −0.351410 | − | 0.862983i | ||||
\(357\) | −594.479 | − | 498.827i | −1.66521 | − | 1.39728i | ||||
\(358\) | −186.316 | + | 193.464i | −0.520437 | + | 0.540402i | ||||
\(359\) | −8.69046 | + | 23.8768i | −0.0242074 | + | 0.0665093i | −0.951208 | − | 0.308551i | \(-0.900156\pi\) |
0.927000 | + | 0.375061i | \(0.122378\pi\) | |||||||
\(360\) | 123.056 | + | 373.518i | 0.341821 | + | 1.03755i | ||||
\(361\) | 359.005 | − | 37.9043i | 0.994472 | − | 0.104998i | ||||
\(362\) | −424.400 | + | 309.230i | −1.17238 | + | 0.854227i | ||||
\(363\) | −83.6654 | + | 229.869i | −0.230483 | + | 0.633248i | ||||
\(364\) | 116.623 | − | 846.566i | 0.320392 | − | 2.32573i | ||||
\(365\) | −102.091 | − | 85.6643i | −0.279701 | − | 0.234697i | ||||
\(366\) | 634.681 | + | 157.324i | 1.73410 | + | 0.429848i | ||||
\(367\) | −39.9442 | − | 7.04324i | −0.108840 | − | 0.0191914i | 0.118963 | − | 0.992899i | \(-0.462043\pi\) |
−0.227803 | + | 0.973707i | \(0.573154\pi\) | |||||||
\(368\) | 49.9057 | + | 110.464i | 0.135613 | + | 0.300173i | ||||
\(369\) | −246.323 | − | 426.643i | −0.667541 | − | 1.15621i | ||||
\(370\) | 102.790 | − | 152.842i | 0.277811 | − | 0.413087i | ||||
\(371\) | −238.781 | − | 656.046i | −0.643615 | − | 1.76832i | ||||
\(372\) | 149.342 | − | 32.1697i | 0.401457 | − | 0.0864778i | ||||
\(373\) | −187.994 | + | 325.615i | −0.504005 | + | 0.872962i | 0.495985 | + | 0.868331i | \(0.334807\pi\) |
−0.999989 | + | 0.00463050i | \(0.998526\pi\) | |||||||
\(374\) | −244.188 | + | 119.511i | −0.652910 | + | 0.319549i | ||||
\(375\) | 401.285 | + | 478.233i | 1.07009 | + | 1.27529i | ||||
\(376\) | 387.771 | + | 154.827i | 1.03131 | + | 0.411773i | ||||
\(377\) | −8.15954 | − | 46.2750i | −0.0216433 | − | 0.122745i | ||||
\(378\) | 637.744 | − | 183.812i | 1.68715 | − | 0.486275i | ||||
\(379\) | 587.058i | 1.54897i | 0.632595 | + | 0.774483i | \(0.281990\pi\) | ||||
−0.632595 | + | 0.774483i | \(0.718010\pi\) | |||||||
\(380\) | −60.3173 | + | 227.807i | −0.158730 | + | 0.599491i | ||||
\(381\) | 168.997 | 0.443562 | ||||||||
\(382\) | −62.5128 | − | 216.891i | −0.163646 | − | 0.567777i | ||||
\(383\) | 272.406 | − | 48.0325i | 0.711242 | − | 0.125411i | 0.193690 | − | 0.981063i | \(-0.437954\pi\) |
0.517552 | + | 0.855652i | \(0.326843\pi\) | |||||||
\(384\) | 343.307 | + | 537.906i | 0.894029 | + | 1.40080i | ||||
\(385\) | −195.661 | + | 164.179i | −0.508211 | + | 0.426440i | ||||
\(386\) | 43.8628 | + | 89.6216i | 0.113634 | + | 0.232180i | ||||
\(387\) | −222.460 | − | 128.437i | −0.574832 | − | 0.331879i | ||||
\(388\) | 597.049 | − | 128.610i | 1.53879 | − | 0.331470i | ||||
\(389\) | 610.779 | − | 222.305i | 1.57013 | − | 0.571479i | 0.597098 | − | 0.802168i | \(-0.296320\pi\) |
0.973027 | + | 0.230690i | \(0.0740982\pi\) | |||||||
\(390\) | −564.318 | − | 379.518i | −1.44697 | − | 0.973124i | ||||
\(391\) | −105.154 | + | 60.7108i | −0.268937 | + | 0.155271i | ||||
\(392\) | −355.019 | − | 73.9442i | −0.905659 | − | 0.188633i | ||||
\(393\) | 71.8317 | − | 407.378i | 0.182778 | − | 1.03658i | ||||
\(394\) | −7.22973 | + | 29.1663i | −0.0183496 | + | 0.0740262i | ||||
\(395\) | 92.3467 | − | 110.055i | 0.233789 | − | 0.278619i | ||||
\(396\) | 73.3991 | − | 532.806i | 0.185351 | − | 1.34547i | ||||
\(397\) | 439.562 | + | 159.988i | 1.10721 | + | 0.402992i | 0.829969 | − | 0.557809i | \(-0.188358\pi\) |
0.277241 | + | 0.960800i | \(0.410580\pi\) | |||||||
\(398\) | −196.747 | − | 270.024i | −0.494339 | − | 0.678451i | ||||
\(399\) | 879.834 | + | 268.765i | 2.20510 | + | 0.673597i | ||||
\(400\) | 199.939 | + | 143.604i | 0.499848 | + | 0.359010i | ||||
\(401\) | −68.3783 | − | 24.8877i | −0.170520 | − | 0.0620640i | 0.255350 | − | 0.966849i | \(-0.417809\pi\) |
−0.425869 | + | 0.904785i | \(0.640032\pi\) | |||||||
\(402\) | 247.739 | + | 238.587i | 0.616267 | + | 0.593500i | ||||
\(403\) | −108.318 | + | 129.089i | −0.268780 | + | 0.320319i | ||||
\(404\) | −215.855 | − | 530.090i | −0.534294 | − | 1.31210i | ||||
\(405\) | 14.8914 | − | 84.4532i | 0.0367688 | − | 0.208526i | ||||
\(406\) | −41.2612 | + | 4.39365i | −0.101629 | + | 0.0108218i | ||||
\(407\) | −218.155 | + | 125.952i | −0.536008 | + | 0.309464i | ||||
\(408\) | −502.095 | + | 395.600i | −1.23063 | + | 0.969607i | ||||
\(409\) | −112.901 | + | 41.0926i | −0.276042 | + | 0.100471i | −0.476332 | − | 0.879266i | \(-0.658034\pi\) |
0.200290 | + | 0.979737i | \(0.435812\pi\) | |||||||
\(410\) | 176.154 | + | 78.1411i | 0.429644 | + | 0.190588i | ||||
\(411\) | −937.951 | − | 541.526i | −2.28212 | − | 1.31758i | ||||
\(412\) | −142.881 | + | 270.499i | −0.346799 | + | 0.656550i | ||||
\(413\) | 408.982 | − | 343.177i | 0.990272 | − | 0.830937i | ||||
\(414\) | 16.4294 | − | 239.649i | 0.0396845 | − | 0.578862i | ||||
\(415\) | 435.264 | − | 76.7488i | 1.04883 | − | 0.184937i | ||||
\(416\) | −663.074 | − | 236.229i | −1.59393 | − | 0.567859i | ||||
\(417\) | −688.530 | −1.65115 | ||||||||
\(418\) | 211.051 | − | 243.572i | 0.504906 | − | 0.582708i | ||||
\(419\) | 49.9892i | 0.119306i | 0.998219 | + | 0.0596530i | \(0.0189994\pi\) | ||||
−0.998219 | + | 0.0596530i | \(0.981001\pi\) | |||||||
\(420\) | −368.440 | + | 474.243i | −0.877238 | + | 1.12915i | ||||
\(421\) | −19.7726 | − | 112.136i | −0.0469659 | − | 0.266357i | 0.952278 | − | 0.305231i | \(-0.0987338\pi\) |
−0.999244 | + | 0.0388747i | \(0.987623\pi\) | |||||||
\(422\) | −18.5878 | + | 271.133i | −0.0440469 | + | 0.642495i | ||||
\(423\) | −531.868 | − | 633.856i | −1.25737 | − | 1.49848i | ||||
\(424\) | −569.133 | + | 82.3632i | −1.34229 | + | 0.194253i | ||||
\(425\) | −123.294 | + | 213.551i | −0.290103 | + | 0.502473i | ||||
\(426\) | 261.936 | + | 116.194i | 0.614873 | + | 0.272755i | ||||
\(427\) | 217.849 | + | 598.534i | 0.510184 | + | 1.40172i | ||||
\(428\) | 312.435 | − | 11.7641i | 0.729989 | − | 0.0274862i | ||||
\(429\) | 465.035 | + | 805.464i | 1.08400 | + | 1.87754i | ||||
\(430\) | 99.9166 | − | 10.6395i | 0.232364 | − | 0.0247430i | ||||
\(431\) | −395.778 | − | 69.7863i | −0.918277 | − | 0.161917i | −0.305518 | − | 0.952186i | \(-0.598830\pi\) |
−0.612760 | + | 0.790269i | \(0.709941\pi\) | |||||||
\(432\) | −41.1106 | − | 545.142i | −0.0951635 | − | 1.26190i | ||||
\(433\) | −297.592 | − | 249.710i | −0.687281 | − | 0.576697i | 0.230843 | − | 0.972991i | \(-0.425852\pi\) |
−0.918124 | + | 0.396294i | \(0.870296\pi\) | |||||||
\(434\) | 107.185 | + | 103.225i | 0.246970 | + | 0.237846i | ||||
\(435\) | −11.2940 | + | 31.0301i | −0.0259633 | + | 0.0713336i | ||||
\(436\) | 149.740 | − | 465.168i | 0.343441 | − | 1.06690i | ||||
\(437\) | 86.5991 | − | 114.977i | 0.198167 | − | 0.263106i | ||||
\(438\) | 252.363 | + | 346.353i | 0.576170 | + | 0.790760i | ||||
\(439\) | −173.043 | + | 475.432i | −0.394175 | + | 1.08299i | 0.570901 | + | 0.821019i | \(0.306594\pi\) |
−0.965076 | + | 0.261969i | \(0.915628\pi\) | |||||||
\(440\) | 99.5297 | + | 185.354i | 0.226204 | + | 0.421259i | ||||
\(441\) | 550.513 | + | 461.935i | 1.24833 | + | 1.04747i | ||||
\(442\) | 169.646 | − | 684.390i | 0.383815 | − | 1.54839i | ||||
\(443\) | 156.090 | + | 27.5228i | 0.352347 | + | 0.0621283i | 0.347020 | − | 0.937858i | \(-0.387193\pi\) |
0.00532640 | + | 0.999986i | \(0.498305\pi\) | |||||||
\(444\) | −439.069 | + | 397.514i | −0.988895 | + | 0.895302i | ||||
\(445\) | −128.571 | − | 222.692i | −0.288924 | − | 0.500430i | ||||
\(446\) | 61.7056 | + | 41.4986i | 0.138353 | + | 0.0930461i | ||||
\(447\) | 203.034 | + | 557.832i | 0.454215 | + | 1.24795i | ||||
\(448\) | −248.167 | + | 569.901i | −0.553944 | + | 1.27210i | ||||
\(449\) | −126.598 | + | 219.274i | −0.281956 | + | 0.488361i | −0.971866 | − | 0.235533i | \(-0.924316\pi\) |
0.689911 | + | 0.723894i | \(0.257650\pi\) | |||||||
\(450\) | −214.449 | − | 438.167i | −0.476553 | − | 0.973705i | ||||
\(451\) | −169.407 | − | 201.892i | −0.375626 | − | 0.447653i | ||||
\(452\) | −239.969 | + | 150.861i | −0.530904 | + | 0.333763i | ||||
\(453\) | −118.527 | − | 672.202i | −0.261650 | − | 1.48389i | ||||
\(454\) | 90.6861 | + | 314.639i | 0.199749 | + | 0.693038i | ||||
\(455\) | − | 662.444i | − | 1.45592i | ||||||
\(456\) | 364.503 | − | 664.347i | 0.799349 | − | 1.45690i | ||||
\(457\) | −536.519 | −1.17400 | −0.587001 | − | 0.809586i | \(-0.699691\pi\) | ||||
−0.587001 | + | 0.809586i | \(0.699691\pi\) | |||||||
\(458\) | −79.6834 | + | 22.9665i | −0.173981 | + | 0.0501453i | ||||
\(459\) | 539.306 | − | 95.0942i | 1.17496 | − | 0.207177i | ||||
\(460\) | 50.0103 | + | 79.5493i | 0.108718 | + | 0.172933i | ||||
\(461\) | 237.716 | − | 199.467i | 0.515653 | − | 0.432684i | −0.347461 | − | 0.937695i | \(-0.612956\pi\) |
0.863113 | + | 0.505011i | \(0.168511\pi\) | |||||||
\(462\) | 737.703 | − | 361.048i | 1.59676 | − | 0.781490i | ||||
\(463\) | 18.7328 | + | 10.8154i | 0.0404597 | + | 0.0233594i | 0.520093 | − | 0.854109i | \(-0.325897\pi\) |
−0.479634 | + | 0.877469i | \(0.659230\pi\) | |||||||
\(464\) | −3.38710 | + | 34.0105i | −0.00729979 | + | 0.0732985i | ||||
\(465\) | 111.281 | − | 40.5031i | 0.239315 | − | 0.0871034i | ||||
\(466\) | −241.489 | + | 359.078i | −0.518217 | + | 0.770554i | ||||
\(467\) | 469.726 | − | 271.197i | 1.00584 | − | 0.580721i | 0.0958677 | − | 0.995394i | \(-0.469437\pi\) |
0.909970 | + | 0.414673i | \(0.136104\pi\) | |||||||
\(468\) | 936.210 | + | 1034.08i | 2.00045 | + | 2.20957i | ||||
\(469\) | −58.1780 | + | 329.944i | −0.124047 | + | 0.703505i | ||||
\(470\) | 314.162 | + | 77.8742i | 0.668429 | + | 0.165690i | ||||
\(471\) | 382.397 | − | 455.723i | 0.811883 | − | 0.967564i | ||||
\(472\) | −208.043 | − | 387.437i | −0.440768 | − | 0.820842i | ||||
\(473\) | −129.133 | − | 47.0005i | −0.273008 | − | 0.0993669i | ||||
\(474\) | −373.371 | + | 272.049i | −0.787702 | + | 0.573942i | ||||
\(475\) | 35.5566 | − | 290.152i | 0.0748561 | − | 0.610846i | ||||
\(476\) | −592.702 | − | 190.794i | −1.24517 | − | 0.400828i | ||||
\(477\) | 1070.88 | + | 389.769i | 2.24503 | + | 0.817125i | ||||
\(478\) | −253.136 | + | 262.847i | −0.529574 | + | 0.549889i | ||||
\(479\) | −100.003 | + | 119.179i | −0.208775 | + | 0.248809i | −0.860263 | − | 0.509850i | \(-0.829701\pi\) |
0.651488 | + | 0.758659i | \(0.274145\pi\) | |||||||
\(480\) | 320.542 | + | 376.758i | 0.667796 | + | 0.784912i | ||||
\(481\) | 113.450 | − | 643.405i | 0.235862 | − | 1.33764i | ||||
\(482\) | −75.1285 | − | 705.539i | −0.155868 | − | 1.46377i | ||||
\(483\) | 317.675 | − | 183.410i | 0.657713 | − | 0.379731i | ||||
\(484\) | 7.38498 | + | 196.133i | 0.0152582 | + | 0.405234i | ||||
\(485\) | 444.888 | − | 161.926i | 0.917295 | − | 0.333868i | ||||
\(486\) | 137.571 | − | 310.127i | 0.283067 | − | 0.638121i | ||||
\(487\) | 174.976 | + | 101.023i | 0.359294 | + | 0.207439i | 0.668771 | − | 0.743468i | \(-0.266821\pi\) |
−0.309477 | + | 0.950907i | \(0.600154\pi\) | |||||||
\(488\) | 519.240 | − | 75.1428i | 1.06402 | − | 0.153981i | ||||
\(489\) | −875.031 | + | 734.238i | −1.78943 | + | 1.50151i | ||||
\(490\) | −280.453 | − | 19.2267i | −0.572353 | − | 0.0392383i | ||||
\(491\) | −479.984 | + | 84.6341i | −0.977564 | + | 0.172371i | −0.639533 | − | 0.768764i | \(-0.720872\pi\) |
−0.338031 | + | 0.941135i | \(0.609761\pi\) | |||||||
\(492\) | −489.344 | − | 380.172i | −0.994602 | − | 0.772707i | ||||
\(493\) | −34.2373 | −0.0694468 | ||||||||
\(494\) | 132.081 | + | 825.377i | 0.267371 | + | 1.67080i | ||||
\(495\) | − | 416.925i | − | 0.842272i | ||||||
\(496\) | 101.242 | − | 69.0955i | 0.204117 | − | 0.139305i | ||||
\(497\) | 48.4697 | + | 274.885i | 0.0975246 | + | 0.553090i | ||||
\(498\) | −1417.89 | − | 97.2049i | −2.84717 | − | 0.195191i | ||||
\(499\) | 630.877 | + | 751.849i | 1.26428 | + | 1.50671i | 0.770988 | + | 0.636849i | \(0.219763\pi\) |
0.493294 | + | 0.869863i | \(0.335793\pi\) | |||||||
\(500\) | 442.908 | + | 233.950i | 0.885815 | + | 0.467900i | ||||
\(501\) | −646.682 | + | 1120.09i | −1.29078 | + | 2.23570i | ||||
\(502\) | 29.6643 | − | 66.8725i | 0.0590923 | − | 0.133212i | ||||
\(503\) | −203.242 | − | 558.403i | −0.404060 | − | 1.11015i | −0.960262 | − | 0.279098i | \(-0.909964\pi\) |
0.556203 | − | 0.831047i | \(-0.312258\pi\) | |||||||
\(504\) | 967.570 | − | 762.346i | 1.91978 | − | 1.51259i | ||||
\(505\) | −221.840 | − | 384.239i | −0.439288 | − | 0.760869i | ||||
\(506\) | −13.6069 | − | 127.784i | −0.0268911 | − | 0.252537i | ||||
\(507\) | −1545.83 | − | 272.572i | −3.04898 | − | 0.537618i | ||||
\(508\) | 125.582 | − | 51.1376i | 0.247210 | − | 0.100665i | ||||
\(509\) | 419.206 | + | 351.756i | 0.823588 | + | 0.691072i | 0.953809 | − | 0.300413i | \(-0.0971244\pi\) |
−0.130221 | + | 0.991485i | \(0.541569\pi\) | |||||||
\(510\) | −343.725 | + | 356.911i | −0.673971 | + | 0.699826i | ||||
\(511\) | −142.772 | + | 392.262i | −0.279397 | + | 0.767636i | ||||
\(512\) | 417.881 | + | 295.838i | 0.816173 | + | 0.577808i | ||||
\(513\) | −544.376 | + | 353.705i | −1.06116 | + | 0.689483i | ||||
\(514\) | −3.10130 | + | 2.25970i | −0.00603365 | + | 0.00439629i | ||||
\(515\) | −81.1072 | + | 222.840i | −0.157490 | + | 0.432700i | ||||
\(516\) | −320.084 | − | 44.0945i | −0.620317 | − | 0.0854545i | ||||
\(517\) | −339.095 | − | 284.534i | −0.655889 | − | 0.550356i | ||||
\(518\) | −559.989 | − | 138.810i | −1.08106 | − | 0.267972i | ||||
\(519\) | −632.664 | − | 111.556i | −1.21900 | − | 0.214943i | ||||
\(520\) | −534.187 | − | 111.262i | −1.02728 | − | 0.213965i | ||||
\(521\) | −41.1913 | − | 71.3454i | −0.0790620 | − | 0.136939i | 0.823783 | − | 0.566905i | \(-0.191859\pi\) |
−0.902845 | + | 0.429965i | \(0.858526\pi\) | |||||||
\(522\) | 37.7989 | − | 56.2044i | 0.0724116 | − | 0.107671i | ||||
\(523\) | −327.489 | − | 899.769i | −0.626174 | − | 1.72040i | −0.691344 | − | 0.722526i | \(-0.742981\pi\) |
0.0651695 | − | 0.997874i | \(-0.479241\pi\) | |||||||
\(524\) | −69.8919 | − | 324.460i | −0.133382 | − | 0.619198i | ||||
\(525\) | 372.476 | − | 645.147i | 0.709478 | − | 1.22885i | ||||
\(526\) | −275.245 | + | 134.711i | −0.523280 | + | 0.256105i | ||||
\(527\) | 78.9234 | + | 94.0572i | 0.149760 | + | 0.178477i | ||||
\(528\) | −167.243 | − | 655.515i | −0.316748 | − | 1.24151i | ||||
\(529\) | 81.8935 | + | 464.441i | 0.154808 | + | 0.877961i | ||||
\(530\) | −428.343 | + | 123.458i | −0.808195 | + | 0.232940i | ||||
\(531\) | 871.480i | 1.64120i | ||||||||
\(532\) | 735.136 | − | 66.5127i | 1.38183 | − | 0.125024i | ||||
\(533\) | 683.538 | 1.28244 | ||||||||
\(534\) | 228.998 | + | 794.519i | 0.428835 | + | 1.48786i | ||||
\(535\) | 238.685 | − | 42.0866i | 0.446140 | − | 0.0786666i | ||||
\(536\) | 256.291 | + | 102.330i | 0.478156 | + | 0.190915i | ||||
\(537\) | 512.878 | − | 430.356i | 0.955080 | − | 0.801407i | ||||
\(538\) | 385.412 | + | 787.484i | 0.716380 | + | 1.46372i | ||||
\(539\) | 332.946 | + | 192.227i | 0.617711 | + | 0.356636i | ||||
\(540\) | −89.2408 | − | 414.284i | −0.165261 | − | 0.767192i | ||||
\(541\) | 3.85360 | − | 1.40259i | 0.00712310 | − | 0.00259260i | −0.338456 | − | 0.940982i | \(-0.609905\pi\) |
0.345579 | + | 0.938390i | \(0.387682\pi\) | |||||||
\(542\) | −185.643 | − | 124.850i | −0.342515 | − | 0.230350i | ||||
\(543\) | 1133.56 | − | 654.462i | 2.08759 | − | 1.20527i | ||||
\(544\) | −253.403 | + | 445.903i | −0.465814 | + | 0.819675i | ||||
\(545\) | 65.7803 | − | 373.059i | 0.120698 | − | 0.684512i | ||||
\(546\) | −512.508 | + | 2067.57i | −0.938660 | + | 3.78676i | ||||
\(547\) | 291.437 | − | 347.321i | 0.532792 | − | 0.634956i | −0.430764 | − | 0.902465i | \(-0.641756\pi\) |
0.963556 | + | 0.267508i | \(0.0862003\pi\) | |||||||
\(548\) | −860.858 | − | 118.591i | −1.57091 | − | 0.216408i | ||||
\(549\) | −977.002 | − | 355.600i | −1.77960 | − | 0.647722i | ||||
\(550\) | −153.685 | − | 210.924i | −0.279428 | − | 0.383498i | ||||
\(551\) | 37.3570 | − | 15.8675i | 0.0677986 | − | 0.0287977i | ||||
\(552\) | −94.5439 | − | 286.974i | −0.171275 | − | 0.519881i | ||||
\(553\) | −422.861 | − | 153.909i | −0.764668 | − | 0.278316i | ||||
\(554\) | −97.8539 | − | 94.2387i | −0.176632 | − | 0.170106i | ||||
\(555\) | −295.123 | + | 351.714i | −0.531753 | + | 0.633718i | ||||
\(556\) | −511.649 | + | 208.346i | −0.920233 | + | 0.374722i | ||||
\(557\) | −23.1565 | + | 131.327i | −0.0415736 | + | 0.235776i | −0.998513 | − | 0.0545117i | \(-0.982640\pi\) |
0.956940 | + | 0.290287i | \(0.0937509\pi\) | |||||||
\(558\) | −241.539 | + | 25.7200i | −0.432866 | + | 0.0460932i | ||||
\(559\) | 308.660 | − | 178.205i | 0.552164 | − | 0.318792i | ||||
\(560\) | −130.286 | + | 463.900i | −0.232653 | + | 0.828393i | ||||
\(561\) | 636.803 | − | 231.777i | 1.13512 | − | 0.413151i | ||||
\(562\) | 45.3404 | + | 20.1128i | 0.0806768 | + | 0.0357878i | ||||
\(563\) | 774.796 | + | 447.329i | 1.37619 | + | 0.794545i | 0.991699 | − | 0.128583i | \(-0.0410427\pi\) |
0.384494 | + | 0.923128i | \(0.374376\pi\) | |||||||
\(564\) | −920.289 | − | 486.110i | −1.63172 | − | 0.861897i | ||||
\(565\) | −168.320 | + | 141.238i | −0.297912 | + | 0.249978i | ||||
\(566\) | 2.33992 | − | 34.1315i | 0.00413413 | − | 0.0603030i | ||||
\(567\) | −264.530 | + | 46.6437i | −0.466543 | + | 0.0822640i | ||||
\(568\) | 229.805 | + | 7.08341i | 0.404587 | + | 0.0124708i | ||||
\(569\) | 560.293 | 0.984697 | 0.492349 | − | 0.870398i | \(-0.336139\pi\) | ||||
0.492349 | + | 0.870398i | \(0.336139\pi\) | |||||||
\(570\) | 209.633 | − | 548.735i | 0.367777 | − | 0.962694i | ||||
\(571\) | 3.09674i | 0.00542337i | 0.999996 | + | 0.00271168i | \(0.000863156\pi\) | ||||
−0.999996 | + | 0.00271168i | \(0.999137\pi\) | |||||||
\(572\) | 589.299 | + | 457.827i | 1.03024 | + | 0.800396i | ||||
\(573\) | 97.7025 | + | 554.098i | 0.170510 | + | 0.967013i | ||||
\(574\) | 41.2843 | − | 602.198i | 0.0719239 | − | 1.04913i | ||||
\(575\) | −74.9219 | − | 89.2884i | −0.130299 | − | 0.155284i | ||||
\(576\) | −452.237 | − | 908.278i | −0.785135 | − | 1.57687i | ||||
\(577\) | 339.962 | − | 588.832i | 0.589189 | − | 1.02051i | −0.405149 | − | 0.914250i | \(-0.632781\pi\) |
0.994339 | − | 0.106256i | \(-0.0338862\pi\) | |||||||
\(578\) | 58.7264 | + | 26.0507i | 0.101603 | + | 0.0450705i | ||||
\(579\) | −85.0666 | − | 233.719i | −0.146920 | − | 0.403659i | ||||
\(580\) | 0.996903 | + | 26.4761i | 0.00171880 | + | 0.0456485i | ||||
\(581\) | −692.196 | − | 1198.92i | −1.19139 | − | 2.06354i | ||||
\(582\) | −1513.83 | + | 161.198i | −2.60108 | + | 0.276973i | ||||
\(583\) | 600.395 | + | 105.866i | 1.02984 | + | 0.181588i | ||||
\(584\) | 292.336 | + | 181.013i | 0.500576 | + | 0.309953i | ||||
\(585\) | 828.342 | + | 695.062i | 1.41597 | + | 1.18814i | ||||
\(586\) | −105.684 | − | 101.780i | −0.180348 | − | 0.173686i | ||||
\(587\) | 336.045 | − | 923.275i | 0.572478 | − | 1.57287i | −0.228097 | − | 0.973638i | \(-0.573250\pi\) |
0.800575 | − | 0.599233i | \(-0.204528\pi\) | |||||||
\(588\) | 860.454 | + | 276.985i | 1.46336 | + | 0.471063i | ||||
\(589\) | −129.707 | − | 66.0502i | −0.220215 | − | 0.112140i | ||||
\(590\) | −200.750 | − | 275.517i | −0.340254 | − | 0.466979i | ||||
\(591\) | 25.6181 | − | 70.3852i | 0.0433471 | − | 0.119095i | ||||
\(592\) | −205.988 | + | 428.254i | −0.347953 | + | 0.723403i | ||||
\(593\) | −303.538 | − | 254.698i | −0.511868 | − | 0.429508i | 0.349918 | − | 0.936780i | \(-0.386209\pi\) |
−0.861786 | + | 0.507272i | \(0.830654\pi\) | |||||||
\(594\) | −139.445 | + | 562.553i | −0.234756 | + | 0.947058i | ||||
\(595\) | −475.340 | − | 83.8153i | −0.798891 | − | 0.140866i | ||||
\(596\) | 319.672 | + | 353.090i | 0.536363 | + | 0.592433i | ||||
\(597\) | 416.400 | + | 721.226i | 0.697488 | + | 1.20808i | ||||
\(598\) | 276.564 | + | 185.996i | 0.462481 | + | 0.311030i | ||||
\(599\) | 192.043 | + | 527.634i | 0.320606 | + | 0.880858i | 0.990390 | + | 0.138302i | \(0.0441645\pi\) |
−0.669784 | + | 0.742556i | \(0.733613\pi\) | |||||||
\(600\) | −457.679 | − | 408.717i | −0.762799 | − | 0.681195i | ||||
\(601\) | −422.927 | + | 732.532i | −0.703706 | + | 1.21885i | 0.263451 | + | 0.964673i | \(0.415139\pi\) |
−0.967157 | + | 0.254182i | \(0.918194\pi\) | |||||||
\(602\) | −138.356 | − | 282.693i | −0.229828 | − | 0.469590i | ||||
\(603\) | −351.530 | − | 418.937i | −0.582969 | − | 0.694755i | ||||
\(604\) | −291.483 | − | 463.650i | −0.482588 | − | 0.767633i | ||||
\(605\) | 26.4201 | + | 149.836i | 0.0436696 | + | 0.247663i | ||||
\(606\) | 395.120 | + | 1370.89i | 0.652014 | + | 2.26219i | ||||
\(607\) | 846.188i | 1.39405i | 0.717047 | + | 0.697024i | \(0.245493\pi\) | ||||
−0.717047 | + | 0.697024i | \(0.754507\pi\) | |||||||
\(608\) | 69.8358 | − | 603.976i | 0.114862 | − | 0.993382i | ||||
\(609\) | 103.432 | 0.169839 | ||||||||
\(610\) | 390.792 | − | 112.635i | 0.640643 | − | 0.184648i | ||||
\(611\) | 1130.62 | − | 199.359i | 1.85044 | − | 0.326283i | ||||
\(612\) | 860.462 | − | 540.946i | 1.40598 | − | 0.883899i | ||||
\(613\) | 524.606 | − | 440.197i | 0.855801 | − | 0.718102i | −0.105258 | − | 0.994445i | \(-0.533567\pi\) |
0.961059 | + | 0.276343i | \(0.0891224\pi\) | |||||||
\(614\) | 964.030 | − | 471.818i | 1.57008 | − | 0.768433i | ||||
\(615\) | −416.002 | − | 240.179i | −0.676426 | − | 0.390535i | ||||
\(616\) | 438.939 | − | 491.521i | 0.712563 | − | 0.797924i | ||||
\(617\) | 809.257 | − | 294.545i | 1.31160 | − | 0.477383i | 0.410842 | − | 0.911707i | \(-0.365235\pi\) |
0.900757 | + | 0.434324i | \(0.143013\pi\) | |||||||
\(618\) | 425.549 | − | 632.763i | 0.688591 | − | 1.02389i | ||||
\(619\) | −747.857 | + | 431.776i | −1.20817 | + | 0.697537i | −0.962359 | − | 0.271781i | \(-0.912387\pi\) |
−0.245811 | + | 0.969318i | \(0.579054\pi\) | |||||||
\(620\) | 70.4376 | − | 63.7712i | 0.113609 | − | 0.102857i | ||||
\(621\) | −44.9494 | + | 254.921i | −0.0723823 | + | 0.410500i | ||||
\(622\) | 112.869 | + | 27.9779i | 0.181462 | + | 0.0449806i | ||||
\(623\) | −517.725 | + | 617.000i | −0.831019 | + | 0.990370i | ||||
\(624\) | 1581.19 | + | 760.543i | 2.53395 | + | 1.21882i | ||||
\(625\) | 3.43481 | + | 1.25017i | 0.00549569 | + | 0.00200027i | ||||
\(626\) | 898.112 | − | 654.390i | 1.43468 | − | 1.04535i | ||||
\(627\) | −587.411 | + | 548.029i | −0.936859 | + | 0.874049i | ||||
\(628\) | 146.261 | − | 454.361i | 0.232900 | − | 0.723504i | ||||
\(629\) | −447.324 | − | 162.813i | −0.711168 | − | 0.258844i | ||||
\(630\) | 662.381 | − | 687.791i | 1.05140 | − | 1.09173i | ||||
\(631\) | −189.752 | + | 226.137i | −0.300716 | + | 0.358380i | −0.895150 | − | 0.445765i | \(-0.852932\pi\) |
0.594434 | + | 0.804144i | \(0.297376\pi\) | |||||||
\(632\) | −195.133 | + | 315.140i | −0.308754 | + | 0.498640i | ||||
\(633\) | 117.635 | − | 667.140i | 0.185837 | − | 1.05393i | ||||
\(634\) | −37.5965 | − | 353.072i | −0.0593004 | − | 0.556896i | ||||
\(635\) | 91.0291 | − | 52.5557i | 0.143353 | − | 0.0827649i | ||||
\(636\) | 1432.43 | − | 53.9350i | 2.25224 | − | 0.0848035i | ||||
\(637\) | −936.974 | + | 341.031i | −1.47092 | + | 0.535370i | ||||
\(638\) | 14.6929 | − | 33.1223i | 0.0230296 | − | 0.0519158i | ||||
\(639\) | −394.582 | − | 227.812i | −0.617500 | − | 0.356514i | ||||
\(640\) | 352.201 | + | 182.976i | 0.550314 | + | 0.285900i | ||||
\(641\) | 58.4834 | − | 49.0734i | 0.0912378 | − | 0.0765576i | −0.596028 | − | 0.802964i | \(-0.703255\pi\) |
0.687266 | + | 0.726406i | \(0.258811\pi\) | |||||||
\(642\) | −777.527 | − | 53.3041i | −1.21110 | − | 0.0830282i | ||||
\(643\) | −197.912 | + | 34.8973i | −0.307795 | + | 0.0542726i | −0.325412 | − | 0.945572i | \(-0.605503\pi\) |
0.0176170 | + | 0.999845i | \(0.494392\pi\) | |||||||
\(644\) | 180.567 | − | 232.419i | 0.280383 | − | 0.360900i | ||||
\(645\) | −250.468 | −0.388322 | ||||||||
\(646\) | 608.965 | + | 9.65468i | 0.942670 | + | 0.0149453i | ||||
\(647\) | − | 105.835i | − | 0.163578i | −0.996650 | − | 0.0817891i | \(-0.973937\pi\) | ||
0.996650 | − | 0.0817891i | \(-0.0260634\pi\) | |||||||
\(648\) | −6.81656 | + | 221.148i | −0.0105194 | + | 0.341277i | ||||
\(649\) | 80.9576 | + | 459.133i | 0.124742 | + | 0.707447i | ||||
\(650\) | 675.273 | + | 46.2940i | 1.03888 | + | 0.0712216i | ||||
\(651\) | −238.431 | − | 284.151i | −0.366253 | − | 0.436483i | ||||
\(652\) | −428.063 | + | 810.395i | −0.656538 | + | 1.24294i | ||||
\(653\) | −287.146 | + | 497.352i | −0.439734 | + | 0.761641i | −0.997669 | − | 0.0682433i | \(-0.978261\pi\) |
0.557935 | + | 0.829885i | \(0.311594\pi\) | |||||||
\(654\) | −493.930 | + | 1113.47i | −0.755245 | + | 1.70256i | ||||
\(655\) | −87.9970 | − | 241.770i | −0.134347 | − | 0.369114i | ||||
\(656\) | −478.672 | − | 134.434i | −0.729682 | − | 0.204930i | ||||
\(657\) | −340.696 | − | 590.103i | −0.518563 | − | 0.898178i | ||||
\(658\) | −107.348 | − | 1008.12i | −0.163143 | − | 1.53210i | ||||
\(659\) | 497.889 | + | 87.7912i | 0.755522 | + | 0.133219i | 0.538126 | − | 0.842865i | \(-0.319133\pi\) |
0.217396 | + | 0.976083i | \(0.430244\pi\) | |||||||
\(660\) | −197.779 | − | 485.699i | −0.299665 | − | 0.735908i | ||||
\(661\) | 422.830 | + | 354.796i | 0.639682 | + | 0.536757i | 0.903920 | − | 0.427701i | \(-0.140676\pi\) |
−0.264239 | + | 0.964457i | \(0.585121\pi\) | |||||||
\(662\) | 221.206 | − | 229.692i | 0.334148 | − | 0.346966i | ||||
\(663\) | −601.131 | + | 1651.60i | −0.906684 | + | 2.49109i | ||||
\(664\) | −1083.05 | + | 356.813i | −1.63110 | + | 0.537369i | ||||
\(665\) | 557.499 | − | 128.847i | 0.838344 | − | 0.193755i | ||||
\(666\) | 761.134 | − | 554.584i | 1.14284 | − | 0.832709i | ||||
\(667\) | 5.53504 | − | 15.2074i | 0.00829841 | − | 0.0227997i | ||||
\(668\) | −141.620 | + | 1028.02i | −0.212006 | + | 1.53896i | ||||
\(669\) | −141.994 | − | 119.147i | −0.212248 | − | 0.178098i | ||||
\(670\) | 207.640 | + | 51.4697i | 0.309911 | + | 0.0768205i | ||||
\(671\) | −547.761 | − | 96.5851i | −0.816336 | − | 0.143942i | ||||
\(672\) | 765.540 | − | 1347.09i | 1.13920 | − | 2.00460i | ||||
\(673\) | 487.962 | + | 845.175i | 0.725055 | + | 1.25583i | 0.958952 | + | 0.283570i | \(0.0915188\pi\) |
−0.233897 | + | 0.972261i | \(0.575148\pi\) | |||||||
\(674\) | −64.2621 | + | 95.5534i | −0.0953443 | + | 0.141771i | ||||
\(675\) | 179.796 | + | 493.987i | 0.266365 | + | 0.731832i | ||||
\(676\) | −1231.19 | + | 265.211i | −1.82129 | + | 0.392325i | ||||
\(677\) | 115.366 | − | 199.819i | 0.170407 | − | 0.295154i | −0.768155 | − | 0.640264i | \(-0.778825\pi\) |
0.938562 | + | 0.345110i | \(0.112158\pi\) | |||||||
\(678\) | 634.619 | − | 310.597i | 0.936016 | − | 0.458107i | ||||
\(679\) | −953.215 | − | 1136.00i | −1.40385 | − | 1.67304i | ||||
\(680\) | −147.424 | + | 369.231i | −0.216800 | + | 0.542987i | ||||
\(681\) | −141.735 | − | 803.820i | −0.208128 | − | 1.18035i | ||||
\(682\) | −124.864 | + | 35.9886i | −0.183085 | + | 0.0527692i | ||||
\(683\) | − | 847.020i | − | 1.24015i | −0.784544 | − | 0.620073i | \(-0.787103\pi\) | ||
0.784544 | − | 0.620073i | \(-0.212897\pi\) | |||||||
\(684\) | −688.163 | + | 989.026i | −1.00609 | + | 1.44594i | ||||
\(685\) | −673.628 | −0.983398 | ||||||||
\(686\) | −19.7450 | − | 68.5062i | −0.0287828 | − | 0.0998633i | ||||
\(687\) | 203.570 | − | 35.8949i | 0.296317 | − | 0.0522487i | ||||
\(688\) | −251.198 | + | 64.0888i | −0.365114 | + | 0.0931523i | ||||
\(689\) | −1211.26 | + | 1016.37i | −1.75800 | + | 1.47514i | ||||
\(690\) | −102.962 | − | 210.375i | −0.149221 | − | 0.304892i | ||||
\(691\) | 1066.93 | + | 615.993i | 1.54404 | + | 0.891451i | 0.998578 | + | 0.0533155i | \(0.0169789\pi\) |
0.545461 | + | 0.838136i | \(0.316354\pi\) | |||||||
\(692\) | −503.891 | + | 108.543i | −0.728166 | + | 0.156854i | ||||
\(693\) | −1227.16 | + | 446.650i | −1.77080 | + | 0.644517i | ||||
\(694\) | −562.730 | − | 378.450i | −0.810851 | − | 0.545318i | ||||
\(695\) | −370.872 | + | 214.123i | −0.533629 | + | 0.308091i | ||||
\(696\) | 17.3721 | − | 83.4065i | 0.0249599 | − | 0.119837i | ||||
\(697\) | 86.4842 | − | 490.476i | 0.124081 | − | 0.703696i | ||||
\(698\) | −168.079 | + | 678.069i | −0.240801 | + | 0.971446i | ||||
\(699\) | 693.344 | − | 826.295i | 0.991909 | − | 1.18211i | ||||
\(700\) | 81.5702 | − | 592.121i | 0.116529 | − | 0.845887i | ||||
\(701\) | −421.313 | − | 153.346i | −0.601018 | − | 0.218753i | 0.0235508 | − | 0.999723i | \(-0.492503\pi\) |
−0.624568 | + | 0.780970i | \(0.714725\pi\) | |||||||
\(702\) | −885.204 | − | 1214.89i | −1.26097 | − | 1.73061i | ||||
\(703\) | 563.542 | − | 29.6674i | 0.801625 | − | 0.0422012i | ||||
\(704\) | −322.634 | − | 436.509i | −0.458288 | − | 0.620041i | ||||
\(705\) | −758.147 | − | 275.943i | −1.07539 | − | 0.391408i | ||||
\(706\) | −158.058 | − | 152.219i | −0.223878 | − | 0.215607i | ||||
\(707\) | −893.298 | + | 1064.59i | −1.26350 | + | 1.50579i | ||||
\(708\) | 413.408 | + | 1015.24i | 0.583910 | + | 1.43395i | ||||
\(709\) | 65.0481 | − | 368.906i | 0.0917462 | − | 0.520319i | −0.903950 | − | 0.427639i | \(-0.859346\pi\) |
0.995696 | − | 0.0926800i | \(-0.0295434\pi\) | |||||||
\(710\) | 177.225 | − | 18.8715i | 0.249612 | − | 0.0265796i | ||||
\(711\) | 636.135 | − | 367.273i | 0.894705 | − | 0.516558i | ||||
\(712\) | 410.587 | + | 521.116i | 0.576666 | + | 0.731905i | ||||
\(713\) | −54.5373 | + | 19.8500i | −0.0764899 | + | 0.0278401i | ||||
\(714\) | 1418.75 | + | 629.351i | 1.98705 | + | 0.881444i | ||||
\(715\) | 500.976 | + | 289.238i | 0.700665 | + | 0.404529i | ||||
\(716\) | 250.898 | − | 474.993i | 0.350417 | − | 0.663398i | ||||
\(717\) | 696.814 | − | 584.697i | 0.971847 | − | 0.815477i | ||||
\(718\) | 3.47575 | − | 50.6994i | 0.00484088 | − | 0.0706120i | ||||
\(719\) | −148.394 | + | 26.1659i | −0.206390 | + | 0.0363921i | −0.275887 | − | 0.961190i | \(-0.588972\pi\) |
0.0694974 | + | 0.997582i | \(0.477860\pi\) | |||||||
\(720\) | −443.375 | − | 649.655i | −0.615799 | − | 0.902299i | ||||
\(721\) | 742.790 | 1.03022 | ||||||||
\(722\) | −668.929 | + | 271.695i | −0.926494 | + | 0.376309i | ||||
\(723\) | 1768.62i | 2.44623i | ||||||||
\(724\) | 644.317 | − | 829.343i | 0.889941 | − | 1.14550i | ||||
\(725\) | −5.70709 | − | 32.3665i | −0.00787185 | − | 0.0446435i | ||||
\(726\) | 33.4620 | − | 488.097i | 0.0460909 | − | 0.672310i | ||||
\(727\) | −754.323 | − | 898.967i | −1.03758 | − | 1.23654i | −0.971079 | − | 0.238758i | \(-0.923260\pi\) |
−0.0665043 | − | 0.997786i | \(-0.521185\pi\) | |||||||
\(728\) | 244.789 | + | 1691.50i | 0.336249 | + | 2.32349i | ||||
\(729\) | −547.300 | + | 947.951i | −0.750754 | + | 1.30034i | ||||
\(730\) | 243.644 | + | 108.079i | 0.333759 | + | 0.148054i | ||||
\(731\) | −88.8188 | − | 244.028i | −0.121503 | − | 0.333827i | ||||
\(732\) | −1306.85 | + | 49.2068i | −1.78532 | + | 0.0672224i | ||||
\(733\) | 427.264 | + | 740.043i | 0.582897 | + | 1.00961i | 0.995134 | + | 0.0985311i | \(0.0314144\pi\) |
−0.412237 | + | 0.911077i | \(0.635252\pi\) | |||||||
\(734\) | 80.6648 | − | 8.58949i | 0.109898 | − | 0.0117023i | ||||
\(735\) | 690.074 | + | 121.679i | 0.938876 | + | 0.165549i | ||||
\(736\) | −157.093 | − | 184.643i | −0.213441 | − | 0.250874i | ||||
\(737\) | −224.119 | − | 188.058i | −0.304097 | − | 0.255167i | ||||
\(738\) | 709.692 | + | 683.473i | 0.961642 | + | 0.926115i | ||||
\(739\) | 428.837 | − | 1178.22i | 0.580294 | − | 1.59434i | −0.207386 | − | 0.978259i | \(-0.566496\pi\) |
0.787680 | − | 0.616085i | \(-0.211282\pi\) | |||||||
\(740\) | −112.880 | + | 350.662i | −0.152541 | + | 0.473868i | ||||
\(741\) | −109.537 | − | 2080.69i | −0.147823 | − | 2.80795i | ||||
\(742\) | 822.265 | + | 1128.51i | 1.10817 | + | 1.52090i | ||||
\(743\) | −414.918 | + | 1139.98i | −0.558436 | + | 1.53429i | 0.263471 | + | 0.964667i | \(0.415133\pi\) |
−0.821907 | + | 0.569622i | \(0.807090\pi\) | |||||||
\(744\) | −269.182 | + | 144.543i | −0.361804 | + | 0.194278i | ||||
\(745\) | 282.841 | + | 237.331i | 0.379652 | + | 0.318566i | ||||
\(746\) | 180.924 | − | 729.886i | 0.242525 | − | 0.978399i | ||||
\(747\) | 2225.45 | + | 392.406i | 2.97918 | + | 0.525310i | ||||
\(748\) | 403.076 | − | 364.928i | 0.538872 | − | 0.487872i | ||||
\(749\) | −379.579 | − | 657.450i | −0.506781 | − | 0.877770i | ||||
\(750\) | −1036.07 | − | 696.783i | −1.38143 | − | 0.929044i | ||||
\(751\) | 91.2358 | + | 250.668i | 0.121486 | + | 0.333779i | 0.985497 | − | 0.169693i | \(-0.0542777\pi\) |
−0.864011 | + | 0.503473i | \(0.832055\pi\) | |||||||
\(752\) | −830.965 | − | 82.7558i | −1.10501 | − | 0.110048i | ||||
\(753\) | −91.1780 | + | 157.925i | −0.121086 | + | 0.209728i | ||||
\(754\) | 41.3123 | + | 84.4104i | 0.0547909 | + | 0.111950i | ||||
\(755\) | −272.889 | − | 325.216i | −0.361442 | − | 0.430750i | ||||
\(756\) | −1123.78 | + | 706.489i | −1.48649 | + | 0.934509i | ||||
\(757\) | 102.793 | + | 582.968i | 0.135790 | + | 0.770104i | 0.974306 | + | 0.225227i | \(0.0723124\pi\) |
−0.838516 | + | 0.544877i | \(0.816577\pi\) | |||||||
\(758\) | −325.170 | − | 1128.19i | −0.428984 | − | 1.48838i | ||||
\(759\) | 320.324i | 0.422034i | ||||||||
\(760\) | −10.2654 | − | 471.201i | −0.0135071 | − | 0.620002i | ||||
\(761\) | −1237.85 | −1.62661 | −0.813307 | − | 0.581835i | \(-0.802335\pi\) | ||||
−0.813307 | + | 0.581835i | \(0.802335\pi\) | |||||||
\(762\) | −324.774 | + | 93.6070i | −0.426212 | + | 0.122844i | ||||
\(763\) | −1168.52 | + | 206.041i | −1.53148 | + | 0.270041i | ||||
\(764\) | 240.270 | + | 382.189i | 0.314490 | + | 0.500247i | ||||
\(765\) | 603.551 | − | 506.439i | 0.788955 | − | 0.662012i | ||||
\(766\) | −496.896 | + | 243.192i | −0.648689 | + | 0.317483i | ||||
\(767\) | −1047.17 | − | 604.583i | −1.36528 | − | 0.788243i | ||||
\(768\) | −957.702 | − | 843.575i | −1.24701 | − | 1.09841i | ||||
\(769\) | 810.974 | − | 295.170i | 1.05458 | − | 0.383837i | 0.244192 | − | 0.969727i | \(-0.421477\pi\) |
0.810390 | + | 0.585890i | \(0.199255\pi\) | |||||||
\(770\) | 285.078 | − | 423.891i | 0.370231 | − | 0.550508i | ||||
\(771\) | 8.28349 | − | 4.78247i | 0.0107438 | − | 0.00620295i | ||||
\(772\) | −133.935 | − | 147.936i | −0.173491 | − | 0.191628i | ||||
\(773\) | −233.980 | + | 1326.96i | −0.302690 | + | 1.71664i | 0.331491 | + | 0.943458i | \(0.392448\pi\) |
−0.634181 | + | 0.773184i | \(0.718663\pi\) | |||||||
\(774\) | 498.657 | + | 123.607i | 0.644260 | + | 0.159699i | ||||
\(775\) | −75.7619 | + | 90.2895i | −0.0977573 | + | 0.116503i | ||||
\(776\) | −1076.15 | + | 577.863i | −1.38680 | + | 0.744669i | ||||
\(777\) | 1351.39 | + | 491.864i | 1.73924 | + | 0.633030i | ||||
\(778\) | −1050.64 | + | 765.528i | −1.35044 | + | 0.983969i | ||||
\(779\) | 132.950 | + | 575.251i | 0.170668 | + | 0.738448i | ||||
\(780\) | 1294.70 | + | 416.772i | 1.65988 | + | 0.534324i | ||||
\(781\) | −229.046 | − | 83.3660i | −0.293273 | − | 0.106743i | ||||
\(782\) | 168.455 | − | 174.917i | 0.215415 | − | 0.223679i | ||||
\(783\) | −46.9164 | + | 55.9128i | −0.0599187 | + | 0.0714084i | ||||
\(784\) | 723.221 | − | 54.5401i | 0.922476 | − | 0.0695664i | ||||
\(785\) | 64.2521 | − | 364.392i | 0.0818498 | − | 0.464193i | ||||
\(786\) | 87.6014 | + | 822.673i | 0.111452 | + | 1.04666i | ||||
\(787\) | −107.996 | + | 62.3514i | −0.137225 | + | 0.0792266i | −0.567041 | − | 0.823690i | \(-0.691912\pi\) |
0.429816 | + | 0.902916i | \(0.358578\pi\) | |||||||
\(788\) | −2.26126 | − | 60.0555i | −0.00286962 | − | 0.0762125i | ||||
\(789\) | 717.795 | − | 261.256i | 0.909753 | − | 0.331123i | ||||
\(790\) | −116.510 | + | 262.650i | −0.147481 | + | 0.332468i | ||||
\(791\) | 596.035 | + | 344.121i | 0.753520 | + | 0.435045i | ||||
\(792\) | 154.064 | + | 1064.59i | 0.194525 | + | 1.34417i | ||||
\(793\) | 1105.08 | − | 927.269i | 1.39354 | − | 1.16932i | ||||
\(794\) | −933.354 | − | 63.9871i | −1.17551 | − | 0.0805882i | ||||
\(795\) | 1094.30 | − | 192.955i | 1.37648 | − | 0.242711i | ||||
\(796\) | 527.668 | + | 409.946i | 0.662899 | + | 0.515007i | ||||
\(797\) | −1489.07 | −1.86834 | −0.934170 | − | 0.356829i | \(-0.883858\pi\) | ||||
−0.934170 | + | 0.356829i | \(0.883858\pi\) | |||||||
\(798\) | −1839.71 | − | 29.1672i | −2.30540 | − | 0.0365504i | ||||
\(799\) | − | 836.506i | − | 1.04694i | ||||||
\(800\) | −463.779 | − | 165.228i | −0.579724 | − | 0.206535i | ||||
\(801\) | −228.301 | − | 1294.76i | −0.285020 | − | 1.61643i | ||||
\(802\) | 145.193 | + | 9.95382i | 0.181038 | + | 0.0124113i | ||||
\(803\) | −234.312 | − | 279.242i | −0.291796 | − | 0.347749i | ||||
\(804\) | −608.251 | − | 321.287i | −0.756531 | − | 0.399611i | ||||
\(805\) | 114.076 | − | 197.585i | 0.141709 | − | 0.245447i | ||||
\(806\) | 136.661 | − | 308.076i | 0.169555 | − | 0.382228i | ||||
\(807\) | −747.461 | − | 2053.63i | −0.926221 | − | 2.54477i | ||||
\(808\) | 708.439 | + | 899.150i | 0.876780 | + | 1.11281i | ||||
\(809\) | 753.331 | + | 1304.81i | 0.931187 | + | 1.61286i | 0.781295 | + | 0.624161i | \(0.214559\pi\) |
0.149892 | + | 0.988702i | \(0.452107\pi\) | |||||||
\(810\) | 18.1606 | + | 170.548i | 0.0224205 | + | 0.210553i | ||||
\(811\) | −303.492 | − | 53.5138i | −0.374219 | − | 0.0659849i | −0.0166245 | − | 0.999862i | \(-0.505292\pi\) |
−0.357595 | + | 0.933877i | \(0.616403\pi\) | |||||||
\(812\) | 76.8609 | − | 31.2980i | 0.0946563 | − | 0.0385444i | ||||
\(813\) | 427.194 | + | 358.458i | 0.525454 | + | 0.440908i | ||||
\(814\) | 349.479 | − | 362.886i | 0.429336 | − | 0.445806i | ||||
\(815\) | −242.992 | + | 667.614i | −0.298149 | + | 0.819159i | ||||
\(816\) | 745.790 | − | 1038.36i | 0.913958 | − | 1.27250i | ||||
\(817\) | 210.009 | + | 225.100i | 0.257048 | + | 0.275520i | ||||
\(818\) | 194.209 | − | 141.506i | 0.237419 | − | 0.172990i | ||||
\(819\) | 1158.42 | − | 3182.73i | 1.41443 | − | 3.88612i | ||||
\(820\) | −381.810 | − | 52.5979i | −0.465622 | − | 0.0641438i | ||||
\(821\) | 1162.88 | + | 975.776i | 1.41642 | + | 1.18852i | 0.953223 | + | 0.302269i | \(0.0977439\pi\) |
0.463202 | + | 0.886253i | \(0.346701\pi\) | |||||||
\(822\) | 2102.48 | + | 521.160i | 2.55776 | + | 0.634015i | ||||
\(823\) | −869.877 | − | 153.383i | −1.05696 | − | 0.186370i | −0.381952 | − | 0.924182i | \(-0.624748\pi\) |
−0.675007 | + | 0.737812i | \(0.735859\pi\) | |||||||
\(824\) | 124.757 | − | 598.977i | 0.151404 | − | 0.726914i | ||||
\(825\) | 325.263 | + | 563.372i | 0.394258 | + | 0.682876i | ||||
\(826\) | −595.885 | + | 886.041i | −0.721411 | + | 1.07269i | ||||
\(827\) | 185.713 | + | 510.242i | 0.224562 | + | 0.616980i | 0.999894 | − | 0.0145747i | \(-0.00463945\pi\) |
−0.775332 | + | 0.631554i | \(0.782417\pi\) | |||||||
\(828\) | 101.167 | + | 469.650i | 0.122183 | + | 0.567210i | ||||
\(829\) | 706.291 | − | 1223.33i | 0.851979 | − | 1.47567i | −0.0274400 | − | 0.999623i | \(-0.508736\pi\) |
0.879419 | − | 0.476048i | \(-0.157931\pi\) | |||||||
\(830\) | −793.966 | + | 388.585i | −0.956585 | + | 0.468174i | ||||
\(831\) | 217.674 | + | 259.413i | 0.261942 | + | 0.312170i | ||||
\(832\) | 1405.12 | + | 86.7040i | 1.68885 | + | 0.104212i | ||||
\(833\) | 126.158 | + | 715.479i | 0.151451 | + | 0.858919i | ||||
\(834\) | 1323.20 | − | 381.375i | 1.58657 | − | 0.457284i | ||||
\(835\) | 804.436i | 0.963396i | ||||||||
\(836\) | −270.677 | + | 584.990i | −0.323776 | + | 0.699749i | ||||
\(837\) | 261.756 | 0.312731 | ||||||||
\(838\) | −27.6889 | − | 96.0678i | −0.0330416 | − | 0.114639i | ||||
\(839\) | −462.957 | + | 81.6318i | −0.551796 | + | 0.0972965i | −0.442592 | − | 0.896723i | \(-0.645941\pi\) |
−0.109203 | + | 0.994019i | \(0.534830\pi\) | |||||||
\(840\) | 445.375 | − | 1115.46i | 0.530208 | − | 1.32793i | ||||
\(841\) | −640.748 | + | 537.651i | −0.761888 | + | 0.639300i | ||||
\(842\) | 100.110 | + | 204.548i | 0.118896 | + | 0.242931i | ||||
\(843\) | −107.075 | − | 61.8197i | −0.127016 | − | 0.0733330i | ||||
\(844\) | −114.458 | − | 531.350i | −0.135614 | − | 0.629562i | ||||
\(845\) | −917.418 | + | 333.913i | −1.08570 | + | 0.395163i | ||||
\(846\) | 1373.22 | + | 923.525i | 1.62319 | + | 1.09164i | ||||
\(847\) | 412.718 | − | 238.283i | 0.487271 | − | 0.281326i | ||||
\(848\) | 1048.12 | − | 473.524i | 1.23599 | − | 0.558401i | ||||
\(849\) | −14.8084 | + | 83.9828i | −0.0174422 | + | 0.0989197i | ||||
\(850\) | 118.657 | − | 478.688i | 0.139596 | − | 0.563163i | ||||
\(851\) | 144.635 | − | 172.370i | 0.169959 | − | 0.202549i | ||||
\(852\) | −567.740 | − | 78.2115i | −0.666361 | − | 0.0917976i | ||||
\(853\) | −686.353 | − | 249.812i | −0.804634 | − | 0.292863i | −0.0932287 | − | 0.995645i | \(-0.529719\pi\) |
−0.711405 | + | 0.702782i | \(0.751941\pi\) | |||||||
\(854\) | −750.181 | − | 1029.58i | −0.878432 | − | 1.20560i | ||||
\(855\) | −423.834 | + | 832.307i | −0.495712 | + | 0.973458i | ||||
\(856\) | −593.913 | + | 195.665i | −0.693823 | + | 0.228580i | ||||
\(857\) | −659.316 | − | 239.971i | −0.769330 | − | 0.280013i | −0.0726141 | − | 0.997360i | \(-0.523134\pi\) |
−0.696716 | + | 0.717347i | \(0.745356\pi\) | |||||||
\(858\) | −1339.83 | − | 1290.34i | −1.56158 | − | 1.50389i | ||||
\(859\) | 310.044 | − | 369.496i | 0.360936 | − | 0.430147i | −0.554765 | − | 0.832007i | \(-0.687192\pi\) |
0.915701 | + | 0.401860i | \(0.131636\pi\) | |||||||
\(860\) | −186.124 | + | 75.7902i | −0.216423 | + | 0.0881281i | ||||
\(861\) | −261.272 | + | 1481.75i | −0.303452 | + | 1.72096i | ||||
\(862\) | 799.248 | − | 85.1069i | 0.927201 | − | 0.0987319i | ||||
\(863\) | −995.383 | + | 574.685i | −1.15340 | + | 0.665915i | −0.949713 | − | 0.313121i | \(-0.898625\pi\) |
−0.203685 | + | 0.979036i | \(0.565292\pi\) | |||||||
\(864\) | 380.958 | + | 1024.87i | 0.440923 | + | 1.18619i | ||||
\(865\) | −375.472 | + | 136.661i | −0.434072 | + | 0.157989i | ||||
\(866\) | 710.218 | + | 315.049i | 0.820113 | + | 0.363798i | ||||
\(867\) | −138.687 | − | 80.0711i | −0.159962 | − | 0.0923542i | ||||
\(868\) | −263.161 | − | 139.006i | −0.303181 | − | 0.160145i | ||||
\(869\) | 301.025 | − | 252.590i | 0.346404 | − | 0.290668i | ||||
\(870\) | 4.51705 | − | 65.8884i | 0.00519201 | − | 0.0757338i | ||||
\(871\) | 747.265 | − | 131.763i | 0.857940 | − | 0.151278i | ||||
\(872\) | −30.1111 | + | 976.886i | −0.0345310 | + | 1.12028i | ||||
\(873\) | 2420.64 | 2.77278 | ||||||||
\(874\) | −102.738 | + | 268.927i | −0.117549 | + | 0.307697i | ||||
\(875\) | − | 1216.23i | − | 1.38997i | ||||||
\(876\) | −676.827 | − | 525.827i | −0.772633 | − | 0.600259i | ||||
\(877\) | −91.0571 | − | 516.410i | −0.103828 | − | 0.588838i | −0.991682 | − | 0.128712i | \(-0.958916\pi\) |
0.887854 | − | 0.460125i | \(-0.152195\pi\) | |||||||
\(878\) | 69.2085 | − | 1009.52i | 0.0788252 | − | 1.14979i | ||||
\(879\) | 235.092 | + | 280.172i | 0.267454 | + | 0.318739i | ||||
\(880\) | −293.940 | − | 301.078i | −0.334023 | − | 0.342135i | ||||
\(881\) | −179.286 | + | 310.533i | −0.203503 | + | 0.352478i | −0.949655 | − | 0.313298i | \(-0.898566\pi\) |
0.746152 | + | 0.665776i | \(0.231899\pi\) | |||||||
\(882\) | −1313.82 | − | 582.805i | −1.48960 | − | 0.660777i | ||||
\(883\) | −273.948 | − | 752.665i | −0.310246 | − | 0.852395i | −0.992606 | − | 0.121379i | \(-0.961269\pi\) |
0.682360 | − | 0.731016i | \(-0.260954\pi\) | |||||||
\(884\) | 53.0607 | + | 1409.21i | 0.0600234 | + | 1.59412i | ||||
\(885\) | 424.872 | + | 735.900i | 0.480081 | + | 0.831525i | ||||
\(886\) | −315.213 | + | 33.5651i | −0.355771 | + | 0.0378838i | ||||
\(887\) | 1396.10 | + | 246.171i | 1.57396 | + | 0.277532i | 0.891373 | − | 0.453270i | \(-0.149743\pi\) |
0.682589 | + | 0.730802i | \(0.260854\pi\) | |||||||
\(888\) | 623.608 | − | 1007.13i | 0.702261 | − | 1.13416i | ||||
\(889\) | −252.210 | − | 211.629i | −0.283701 | − | 0.238053i | ||||
\(890\) | 370.432 | + | 356.747i | 0.416216 | + | 0.400839i | ||||
\(891\) | 80.2253 | − | 220.417i | 0.0900396 | − | 0.247382i | ||||
\(892\) | −141.570 | − | 45.5721i | −0.158711 | − | 0.0510898i | ||||
\(893\) | 387.685 | + | 912.729i | 0.434138 | + | 1.02209i | ||||
\(894\) | −699.166 | − | 959.564i | −0.782065 | − | 1.07334i | ||||
\(895\) | 142.424 | − | 391.306i | 0.159133 | − | 0.437213i | ||||
\(896\) | 161.253 | − | 1232.68i | 0.179970 | − | 1.37576i | ||||
\(897\) | −636.417 | − | 534.017i | −0.709495 | − | 0.595337i | ||||
\(898\) | 121.837 | − | 491.517i | 0.135676 | − | 0.547346i | ||||
\(899\) | −16.1162 | − | 2.84172i | −0.0179268 | − | 0.00316098i | ||||
\(900\) | 654.821 | + | 723.274i | 0.727579 | + | 0.803637i | ||||
\(901\) | 576.047 | + | 997.742i | 0.639341 | + | 1.10737i | ||||
\(902\) | 437.389 | + | 294.155i | 0.484910 | + | 0.326114i | ||||
\(903\) | 268.325 | + | 737.218i | 0.297149 | + | 0.816409i | ||||
\(904\) | 377.603 | − | 422.838i | 0.417702 | − | 0.467741i | ||||
\(905\) | 407.057 | − | 705.043i | 0.449786 | − | 0.779053i | ||||
\(906\) | 600.113 | + | 1226.17i | 0.662376 | + | 1.35338i | ||||
\(907\) | 268.134 | + | 319.549i | 0.295627 | + | 0.352314i | 0.893329 | − | 0.449404i | \(-0.148364\pi\) |
−0.597702 | + | 0.801719i | \(0.703919\pi\) | |||||||
\(908\) | −348.555 | − | 554.433i | −0.383872 | − | 0.610609i | ||||
\(909\) | −393.918 | − | 2234.02i | −0.433353 | − | 2.45767i | ||||
\(910\) | 366.926 | + | 1273.07i | 0.403215 | + | 1.39897i | ||||
\(911\) | − | 1616.96i | − | 1.77493i | −0.460874 | − | 0.887465i | \(-0.652464\pi\) | ||
0.460874 | − | 0.887465i | \(-0.347536\pi\) | |||||||
\(912\) | −332.511 | + | 1478.62i | −0.364595 | + | 1.62129i | ||||
\(913\) | 1208.92 | 1.32411 | ||||||||
\(914\) | 1031.07 | − | 297.176i | 1.12808 | − | 0.325138i | ||||
\(915\) | −998.371 | + | 176.040i | −1.09112 | + | 0.192393i | ||||
\(916\) | 140.412 | − | 88.2728i | 0.153288 | − | 0.0963677i | ||||
\(917\) | −617.346 | + | 518.014i | −0.673223 | + | 0.564901i | ||||
\(918\) | −983.750 | + | 481.469i | −1.07162 | + | 0.524476i | ||||
\(919\) | 186.867 | + | 107.888i | 0.203338 | + | 0.117397i | 0.598211 | − | 0.801338i | \(-0.295878\pi\) |
−0.394874 | + | 0.918735i | \(0.629212\pi\) | |||||||
\(920\) | −140.170 | − | 125.175i | −0.152359 | − | 0.136060i | ||||
\(921\) | −2514.03 | + | 915.033i | −2.72968 | + | 0.993522i | ||||
\(922\) | −346.351 | + | 515.000i | −0.375652 | + | 0.558569i | ||||
\(923\) | 547.477 | − | 316.086i | 0.593150 | − | 0.342455i | ||||
\(924\) | −1217.71 | + | 1102.46i | −1.31787 | + | 1.19314i | ||||
\(925\) | 79.3510 | − | 450.022i | 0.0857849 | − | 0.486510i | ||||
\(926\) | −41.9908 | − | 10.4087i | −0.0453465 | − | 0.0112405i | ||||
\(927\) | −779.364 | + | 928.810i | −0.840738 | + | 1.00195i | ||||
\(928\) | −12.3291 | − | 67.2364i | −0.0132856 | − | 0.0724530i | ||||
\(929\) | 492.556 | + | 179.276i | 0.530200 | + | 0.192977i | 0.593228 | − | 0.805035i | \(-0.297853\pi\) |
−0.0630277 | + | 0.998012i | \(0.520076\pi\) | |||||||
\(930\) | −191.423 | + | 139.476i | −0.205831 | + | 0.149974i | ||||
\(931\) | −469.248 | − | 722.206i | −0.504026 | − | 0.775731i | ||||
\(932\) | 265.194 | − | 823.826i | 0.284543 | − | 0.883933i | ||||
\(933\) | −272.380 | − | 99.1382i | −0.291940 | − | 0.106257i | ||||
\(934\) | −752.491 | + | 781.358i | −0.805665 | + | 0.836571i | ||||
\(935\) | 270.930 | − | 322.882i | 0.289765 | − | 0.345328i | ||||
\(936\) | −2371.95 | − | 1468.70i | −2.53414 | − | 1.56912i | ||||
\(937\) | 201.001 | − | 1139.93i | 0.214516 | − | 1.21658i | −0.667230 | − | 0.744852i | \(-0.732520\pi\) |
0.881745 | − | 0.471726i | \(-0.156369\pi\) | |||||||
\(938\) | −70.9502 | − | 666.300i | −0.0756398 | − | 0.710341i | ||||
\(939\) | −2398.83 | + | 1384.97i | −2.55467 | + | 1.47494i | ||||
\(940\) | −646.881 | + | 24.3569i | −0.688171 | + | 0.0259116i | ||||
\(941\) | −153.395 | + | 55.8313i | −0.163013 | + | 0.0593319i | −0.422238 | − | 0.906485i | \(-0.638755\pi\) |
0.259225 | + | 0.965817i | \(0.416533\pi\) | |||||||
\(942\) | −482.455 | + | 1087.60i | −0.512160 | + | 1.15457i | ||||
\(943\) | 203.876 | + | 117.708i | 0.216200 | + | 0.124823i | ||||
\(944\) | 614.410 | + | 629.331i | 0.650858 | + | 0.666665i | ||||
\(945\) | −788.252 | + | 661.422i | −0.834129 | + | 0.699917i | ||||
\(946\) | 274.197 | + | 18.7979i | 0.289849 | + | 0.0198709i | ||||
\(947\) | 722.990 | − | 127.483i | 0.763453 | − | 0.134617i | 0.221654 | − | 0.975125i | \(-0.428855\pi\) |
0.541799 | + | 0.840508i | \(0.317743\pi\) | |||||||
\(948\) | 566.845 | − | 729.624i | 0.597938 | − | 0.769645i | ||||
\(949\) | 945.422 | 0.996230 | ||||||||
\(950\) | 92.3826 | + | 577.300i | 0.0972448 | + | 0.607684i | ||||
\(951\) | 885.070i | 0.930673i | ||||||||
\(952\) | 1244.72 | + | 38.3666i | 1.30748 | + | 0.0403011i | ||||
\(953\) | −216.769 | − | 1229.36i | −0.227459 | − | 1.28998i | −0.857928 | − | 0.513770i | \(-0.828248\pi\) |
0.630469 | − | 0.776215i | \(-0.282863\pi\) | |||||||
\(954\) | −2273.88 | − | 155.888i | −2.38352 | − | 0.163405i | ||||
\(955\) | 224.943 | + | 268.077i | 0.235543 | + | 0.280709i | ||||
\(956\) | 340.880 | − | 645.343i | 0.356569 | − | 0.675045i | ||||
\(957\) | −45.1609 | + | 78.2210i | −0.0471901 | + | 0.0817356i | ||||
\(958\) | 126.170 | − | 284.427i | 0.131702 | − | 0.296896i | ||||
\(959\) | 721.655 | + | 1982.73i | 0.752508 | + | 2.06750i | ||||
\(960\) | −824.693 | − | 546.494i | −0.859055 | − | 0.569265i | ||||
\(961\) | −451.156 | − | 781.425i | −0.469465 | − | 0.813137i | ||||
\(962\) | 138.356 | + | 1299.32i | 0.143821 | + | 1.35064i | ||||
\(963\) | 1220.37 | + | 215.183i | 1.26725 | + | 0.223451i | ||||
\(964\) | 535.176 | + | 1314.27i | 0.555162 | + | 1.36335i | ||||
\(965\) | −118.504 | − | 99.4364i | −0.122802 | − | 0.103043i | ||||
\(966\) | −508.908 | + | 528.431i | −0.526820 | + | 0.547030i | ||||
\(967\) | 566.709 | − | 1557.02i | 0.586049 | − | 1.61016i | −0.191612 | − | 0.981471i | \(-0.561371\pi\) |
0.777660 | − | 0.628685i | \(-0.216406\pi\) | |||||||
\(968\) | −122.830 | − | 372.832i | −0.126890 | − | 0.385157i | ||||
\(969\) | −1506.87 | − | 184.659i | −1.55508 | − | 0.190567i | ||||
\(970\) | −765.282 | + | 557.607i | −0.788951 | + | 0.574852i | ||||
\(971\) | −144.176 | + | 396.121i | −0.148482 | + | 0.407951i | −0.991528 | − | 0.129890i | \(-0.958538\pi\) |
0.843046 | + | 0.537841i | \(0.180760\pi\) | |||||||
\(972\) | −92.6009 | + | 672.192i | −0.0952684 | + | 0.691556i | ||||
\(973\) | 1027.56 | + | 862.222i | 1.05607 | + | 0.886148i | ||||
\(974\) | −392.220 | − | 97.2233i | −0.402690 | − | 0.0998186i | ||||
\(975\) | −1661.55 | − | 292.977i | −1.70416 | − | 0.300489i | ||||
\(976\) | −956.238 | + | 432.013i | −0.979752 | + | 0.442636i | ||||
\(977\) | −437.363 | − | 757.536i | −0.447660 | − | 0.775369i | 0.550574 | − | 0.834787i | \(-0.314409\pi\) |
−0.998233 | + | 0.0594174i | \(0.981076\pi\) | |||||||
\(978\) | 1274.92 | − | 1895.71i | 1.30359 | − | 1.93836i | ||||
\(979\) | −240.558 | − | 660.928i | −0.245718 | − | 0.675105i | ||||
\(980\) | 549.616 | − | 118.393i | 0.560833 | − | 0.120809i | ||||
\(981\) | 968.413 | − | 1677.34i | 0.987170 | − | 1.70983i | ||||
\(982\) | 875.540 | − | 428.509i | 0.891589 | − | 0.436364i | ||||
\(983\) | 1009.13 | + | 1202.64i | 1.02659 | + | 1.22344i | 0.974405 | + | 0.224800i | \(0.0721730\pi\) |
0.0521815 | + | 0.998638i | \(0.483383\pi\) | |||||||
\(984\) | 1150.98 | + | 459.556i | 1.16970 | + | 0.467029i | ||||
\(985\) | −8.08977 | − | 45.8794i | −0.00821297 | − | 0.0465781i | ||||
\(986\) | 65.7961 | − | 18.9639i | 0.0667303 | − | 0.0192332i | ||||
\(987\) | 2527.12i | 2.56040i | ||||||||
\(988\) | −711.003 | − | 1513.02i | −0.719639 | − | 1.53140i | ||||
\(989\) | 122.750 | 0.124116 | ||||||||
\(990\) | 230.933 | + | 801.233i | 0.233266 | + | 0.809326i | ||||
\(991\) | 195.901 | − | 34.5426i | 0.197680 | − | 0.0348564i | −0.0739313 | − | 0.997263i | \(-0.523555\pi\) |
0.271611 | + | 0.962407i | \(0.412443\pi\) | |||||||
\(992\) | −156.292 | + | 188.863i | −0.157553 | + | 0.190386i | ||||
\(993\) | −608.919 | + | 510.943i | −0.613211 | + | 0.514545i | ||||
\(994\) | −245.406 | − | 501.419i | −0.246887 | − | 0.504446i | ||||
\(995\) | 448.582 | + | 258.989i | 0.450836 | + | 0.260290i | ||||
\(996\) | 2778.70 | − | 598.560i | 2.78986 | − | 0.600964i | ||||
\(997\) | 132.207 | − | 48.1195i | 0.132605 | − | 0.0482643i | −0.274865 | − | 0.961483i | \(-0.588633\pi\) |
0.407470 | + | 0.913218i | \(0.366411\pi\) | |||||||
\(998\) | −1628.85 | − | 1095.44i | −1.63211 | − | 1.09764i | ||||
\(999\) | −878.871 | + | 507.417i | −0.879751 | + | 0.507925i |
(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 | 76.3.l.a.23.2 | ✓ | 108 | |
4.3 | odd | 2 | inner | 76.3.l.a.23.6 | yes | 108 | |
19.5 | even | 9 | inner | 76.3.l.a.43.6 | yes | 108 | |
76.43 | odd | 18 | inner | 76.3.l.a.43.2 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.l.a.23.2 | ✓ | 108 | 1.1 | even | 1 | trivial | |
76.3.l.a.23.6 | yes | 108 | 4.3 | odd | 2 | inner | |
76.3.l.a.43.2 | yes | 108 | 76.43 | odd | 18 | inner | |
76.3.l.a.43.6 | yes | 108 | 19.5 | even | 9 | inner |