Newspace parameters
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(20.6506685020\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 14) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 249.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.249 |
Dual form | 350.4.j.d.149.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73205 | − | 1.00000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.866025 | + | 0.500000i | 0.166667 | + | 0.0962250i | 0.581013 | − | 0.813894i | \(-0.302656\pi\) |
−0.414346 | + | 0.910119i | \(0.635990\pi\) | |||||||
\(4\) | 2.00000 | − | 3.46410i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.00000 | 0.136083 | ||||||||
\(7\) | −15.5885 | + | 10.0000i | −0.841698 | + | 0.539949i | ||||
\(8\) | − | 8.00000i | − | 0.353553i | ||||||
\(9\) | −13.0000 | − | 22.5167i | −0.481481 | − | 0.833950i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −17.5000 | + | 30.3109i | −0.479677 | + | 0.830825i | −0.999728 | − | 0.0233099i | \(-0.992580\pi\) |
0.520051 | + | 0.854135i | \(0.325913\pi\) | |||||||
\(12\) | 3.46410 | − | 2.00000i | 0.0833333 | − | 0.0481125i | ||||
\(13\) | 66.0000i | 1.40809i | 0.710158 | + | 0.704043i | \(0.248624\pi\) | ||||
−0.710158 | + | 0.704043i | \(0.751376\pi\) | |||||||
\(14\) | −17.0000 | + | 32.9090i | −0.324532 | + | 0.628235i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | 51.0955 | + | 29.5000i | 0.728969 | + | 0.420871i | 0.818045 | − | 0.575154i | \(-0.195058\pi\) |
−0.0890757 | + | 0.996025i | \(0.528391\pi\) | |||||||
\(18\) | −45.0333 | − | 26.0000i | −0.589692 | − | 0.340459i | ||||
\(19\) | 68.5000 | + | 118.645i | 0.827104 | + | 1.43259i | 0.900301 | + | 0.435269i | \(0.143347\pi\) |
−0.0731965 | + | 0.997318i | \(0.523320\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −18.5000 | + | 0.866025i | −0.192240 | + | 0.00899915i | ||||
\(22\) | 70.0000i | 0.678366i | ||||||||
\(23\) | −6.06218 | + | 3.50000i | −0.0549588 | + | 0.0317305i | −0.527228 | − | 0.849724i | \(-0.676768\pi\) |
0.472269 | + | 0.881455i | \(0.343435\pi\) | |||||||
\(24\) | 4.00000 | − | 6.92820i | 0.0340207 | − | 0.0589256i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 66.0000 | + | 114.315i | 0.497833 | + | 0.862273i | ||||
\(27\) | − | 53.0000i | − | 0.377772i | ||||||
\(28\) | 3.46410 | + | 74.0000i | 0.0233805 | + | 0.499453i | ||||
\(29\) | −106.000 | −0.678748 | −0.339374 | − | 0.940651i | \(-0.610215\pi\) | ||||
−0.339374 | + | 0.940651i | \(0.610215\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −37.5000 | + | 64.9519i | −0.217264 | + | 0.376313i | −0.953971 | − | 0.299900i | \(-0.903047\pi\) |
0.736706 | + | 0.676213i | \(0.236380\pi\) | |||||||
\(32\) | −27.7128 | − | 16.0000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −30.3109 | + | 17.5000i | −0.159892 | + | 0.0923139i | ||||
\(34\) | 118.000 | 0.595201 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −104.000 | −0.481481 | ||||||||
\(37\) | −9.52628 | + | 5.50000i | −0.0423273 | + | 0.0244377i | −0.521014 | − | 0.853548i | \(-0.674446\pi\) |
0.478687 | + | 0.877986i | \(0.341113\pi\) | |||||||
\(38\) | 237.291 | + | 137.000i | 1.01299 | + | 0.584851i | ||||
\(39\) | −33.0000 | + | 57.1577i | −0.135493 | + | 0.234681i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −498.000 | −1.89694 | −0.948470 | − | 0.316867i | \(-0.897369\pi\) | ||||
−0.948470 | + | 0.316867i | \(0.897369\pi\) | |||||||
\(42\) | −31.1769 | + | 20.0000i | −0.114541 | + | 0.0734778i | ||||
\(43\) | 260.000i | 0.922084i | 0.887378 | + | 0.461042i | \(0.152524\pi\) | ||||
−0.887378 | + | 0.461042i | \(0.847476\pi\) | |||||||
\(44\) | 70.0000 | + | 121.244i | 0.239839 | + | 0.415413i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.00000 | + | 12.1244i | −0.0224368 | + | 0.0388617i | ||||
\(47\) | 148.090 | − | 85.5000i | 0.459600 | − | 0.265350i | −0.252276 | − | 0.967655i | \(-0.581179\pi\) |
0.711876 | + | 0.702305i | \(0.247846\pi\) | |||||||
\(48\) | − | 16.0000i | − | 0.0481125i | ||||||
\(49\) | 143.000 | − | 311.769i | 0.416910 | − | 0.908948i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 29.5000 | + | 51.0955i | 0.0809966 | + | 0.140290i | ||||
\(52\) | 228.631 | + | 132.000i | 0.609719 | + | 0.352021i | ||||
\(53\) | 361.133 | + | 208.500i | 0.935951 | + | 0.540371i | 0.888689 | − | 0.458511i | \(-0.151617\pi\) |
0.0472619 | + | 0.998883i | \(0.484950\pi\) | |||||||
\(54\) | −53.0000 | − | 91.7987i | −0.133563 | − | 0.231337i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 80.0000 | + | 124.708i | 0.190901 | + | 0.297585i | ||||
\(57\) | 137.000i | 0.318353i | ||||||||
\(58\) | −183.597 | + | 106.000i | −0.415647 | + | 0.239974i | ||||
\(59\) | −8.50000 | + | 14.7224i | −0.0187560 | + | 0.0324864i | −0.875251 | − | 0.483669i | \(-0.839304\pi\) |
0.856495 | + | 0.516155i | \(0.172637\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −25.5000 | − | 44.1673i | −0.0535236 | − | 0.0927056i | 0.838022 | − | 0.545636i | \(-0.183712\pi\) |
−0.891546 | + | 0.452930i | \(0.850379\pi\) | |||||||
\(62\) | 150.000i | 0.307258i | ||||||||
\(63\) | 427.817 | + | 221.000i | 0.855553 | + | 0.441958i | ||||
\(64\) | −64.0000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −35.0000 | + | 60.6218i | −0.0652758 | + | 0.113061i | ||||
\(67\) | 380.185 | + | 219.500i | 0.693239 | + | 0.400242i | 0.804824 | − | 0.593513i | \(-0.202260\pi\) |
−0.111585 | + | 0.993755i | \(0.535593\pi\) | |||||||
\(68\) | 204.382 | − | 118.000i | 0.364485 | − | 0.210435i | ||||
\(69\) | −7.00000 | −0.0122131 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −784.000 | −1.31047 | −0.655237 | − | 0.755423i | \(-0.727431\pi\) | ||||
−0.655237 | + | 0.755423i | \(0.727431\pi\) | |||||||
\(72\) | −180.133 | + | 104.000i | −0.294846 | + | 0.170229i | ||||
\(73\) | −255.477 | − | 147.500i | −0.409608 | − | 0.236487i | 0.281013 | − | 0.959704i | \(-0.409329\pi\) |
−0.690621 | + | 0.723217i | \(0.742663\pi\) | |||||||
\(74\) | −11.0000 | + | 19.0526i | −0.0172801 | + | 0.0299299i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 548.000 | 0.827104 | ||||||||
\(77\) | −30.3109 | − | 647.500i | −0.0448603 | − | 0.958305i | ||||
\(78\) | 132.000i | 0.191616i | ||||||||
\(79\) | −247.500 | − | 428.683i | −0.352480 | − | 0.610513i | 0.634203 | − | 0.773166i | \(-0.281328\pi\) |
−0.986683 | + | 0.162653i | \(0.947995\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −324.500 | + | 562.050i | −0.445130 | + | 0.770988i | ||||
\(82\) | −862.561 | + | 498.000i | −1.16163 | + | 0.670670i | ||||
\(83\) | 932.000i | 1.23253i | 0.787537 | + | 0.616267i | \(0.211356\pi\) | ||||
−0.787537 | + | 0.616267i | \(0.788644\pi\) | |||||||
\(84\) | −34.0000 | + | 65.8179i | −0.0441631 | + | 0.0854920i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 260.000 | + | 450.333i | 0.326006 | + | 0.564659i | ||||
\(87\) | −91.7987 | − | 53.0000i | −0.113125 | − | 0.0653126i | ||||
\(88\) | 242.487 | + | 140.000i | 0.293741 | + | 0.169591i | ||||
\(89\) | −436.500 | − | 756.040i | −0.519875 | − | 0.900451i | −0.999733 | − | 0.0231042i | \(-0.992645\pi\) |
0.479858 | − | 0.877346i | \(-0.340688\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −660.000 | − | 1028.84i | −0.760294 | − | 1.18518i | ||||
\(92\) | 28.0000i | 0.0317305i | ||||||||
\(93\) | −64.9519 | + | 37.5000i | −0.0724215 | + | 0.0418126i | ||||
\(94\) | 171.000 | − | 296.181i | 0.187631 | − | 0.324986i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −16.0000 | − | 27.7128i | −0.0170103 | − | 0.0294628i | ||||
\(97\) | 290.000i | 0.303557i | 0.988415 | + | 0.151779i | \(0.0485001\pi\) | ||||
−0.988415 | + | 0.151779i | \(0.951500\pi\) | |||||||
\(98\) | −64.0859 | − | 683.000i | −0.0660577 | − | 0.704014i | ||||
\(99\) | 910.000 | 0.923823 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 542.500 | − | 939.638i | 0.534463 | − | 0.925717i | −0.464726 | − | 0.885454i | \(-0.653847\pi\) |
0.999189 | − | 0.0402627i | \(-0.0128195\pi\) | |||||||
\(102\) | 102.191 | + | 59.0000i | 0.0992002 | + | 0.0572732i | ||||
\(103\) | 1344.94 | − | 776.500i | 1.28661 | − | 0.742823i | 0.308560 | − | 0.951205i | \(-0.400153\pi\) |
0.978048 | + | 0.208381i | \(0.0668195\pi\) | |||||||
\(104\) | 528.000 | 0.497833 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 834.000 | 0.764200 | ||||||||
\(107\) | −111.717 | + | 64.5000i | −0.100936 | + | 0.0582752i | −0.549618 | − | 0.835416i | \(-0.685227\pi\) |
0.448682 | + | 0.893691i | \(0.351893\pi\) | |||||||
\(108\) | −183.597 | − | 106.000i | −0.163580 | − | 0.0944431i | ||||
\(109\) | −482.500 | + | 835.715i | −0.423992 | + | 0.734376i | −0.996326 | − | 0.0856452i | \(-0.972705\pi\) |
0.572334 | + | 0.820021i | \(0.306038\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.0000 | −0.00940607 | ||||||||
\(112\) | 263.272 | + | 136.000i | 0.222115 | + | 0.114739i | ||||
\(113\) | − | 50.0000i | − | 0.0416248i | −0.999783 | − | 0.0208124i | \(-0.993375\pi\) | ||
0.999783 | − | 0.0208124i | \(-0.00662527\pi\) | |||||||
\(114\) | 137.000 | + | 237.291i | 0.112555 | + | 0.194950i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −212.000 | + | 367.195i | −0.169687 | + | 0.293907i | ||||
\(117\) | 1486.10 | − | 858.000i | 1.17427 | − | 0.677967i | ||||
\(118\) | 34.0000i | 0.0265250i | ||||||||
\(119\) | −1091.50 | + | 51.0955i | −0.840821 | + | 0.0393606i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 53.0000 | + | 91.7987i | 0.0398197 | + | 0.0689697i | ||||
\(122\) | −88.3346 | − | 51.0000i | −0.0655528 | − | 0.0378469i | ||||
\(123\) | −431.281 | − | 249.000i | −0.316157 | − | 0.182533i | ||||
\(124\) | 150.000 | + | 259.808i | 0.108632 | + | 0.188157i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 962.000 | − | 45.0333i | 0.680173 | − | 0.0318404i | ||||
\(127\) | − | 936.000i | − | 0.653989i | −0.945026 | − | 0.326994i | \(-0.893964\pi\) | ||
0.945026 | − | 0.326994i | \(-0.106036\pi\) | |||||||
\(128\) | −110.851 | + | 64.0000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −130.000 | + | 225.167i | −0.0887276 | + | 0.153681i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 377.500 | + | 653.849i | 0.251773 | + | 0.436084i | 0.964014 | − | 0.265851i | \(-0.0856529\pi\) |
−0.712241 | + | 0.701935i | \(0.752320\pi\) | |||||||
\(132\) | 140.000i | 0.0923139i | ||||||||
\(133\) | −2254.26 | − | 1164.50i | −1.46970 | − | 0.759210i | ||||
\(134\) | 878.000 | 0.566027 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 236.000 | − | 408.764i | 0.148800 | − | 0.257730i | ||||
\(137\) | −2041.22 | − | 1178.50i | −1.27294 | − | 0.734935i | −0.297403 | − | 0.954752i | \(-0.596121\pi\) |
−0.975541 | + | 0.219817i | \(0.929454\pi\) | |||||||
\(138\) | −12.1244 | + | 7.00000i | −0.00747894 | + | 0.00431797i | ||||
\(139\) | −28.0000 | −0.0170858 | −0.00854291 | − | 0.999964i | \(-0.502719\pi\) | ||||
−0.00854291 | + | 0.999964i | \(0.502719\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 171.000 | 0.102133 | ||||||||
\(142\) | −1357.93 | + | 784.000i | −0.802498 | + | 0.463323i | ||||
\(143\) | −2000.52 | − | 1155.00i | −1.16987 | − | 0.675426i | ||||
\(144\) | −208.000 | + | 360.267i | −0.120370 | + | 0.208488i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −590.000 | −0.334443 | ||||||||
\(147\) | 279.726 | − | 198.500i | 0.156948 | − | 0.111374i | ||||
\(148\) | 44.0000i | 0.0244377i | ||||||||
\(149\) | 1147.50 | + | 1987.53i | 0.630919 | + | 1.09278i | 0.987364 | + | 0.158467i | \(0.0506551\pi\) |
−0.356446 | + | 0.934316i | \(0.616012\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 554.500 | − | 960.422i | 0.298838 | − | 0.517603i | −0.677032 | − | 0.735953i | \(-0.736734\pi\) |
0.975870 | + | 0.218350i | \(0.0700676\pi\) | |||||||
\(152\) | 949.164 | − | 548.000i | 0.506496 | − | 0.292425i | ||||
\(153\) | − | 1534.00i | − | 0.810566i | ||||||
\(154\) | −700.000 | − | 1091.19i | −0.366283 | − | 0.570979i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 132.000 | + | 228.631i | 0.0677465 | + | 0.117340i | ||||
\(157\) | 1350.13 | + | 779.500i | 0.686321 | + | 0.396248i | 0.802232 | − | 0.597012i | \(-0.203646\pi\) |
−0.115911 | + | 0.993260i | \(0.536979\pi\) | |||||||
\(158\) | −857.365 | − | 495.000i | −0.431698 | − | 0.249241i | ||||
\(159\) | 208.500 | + | 361.133i | 0.103995 | + | 0.180124i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 59.5000 | − | 115.181i | 0.0291258 | − | 0.0563824i | ||||
\(162\) | 1298.00i | 0.629509i | ||||||||
\(163\) | −1949.42 | + | 1125.50i | −0.936752 | + | 0.540834i | −0.888941 | − | 0.458022i | \(-0.848558\pi\) |
−0.0478115 | + | 0.998856i | \(0.515225\pi\) | |||||||
\(164\) | −996.000 | + | 1725.12i | −0.474235 | + | 0.821399i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 932.000 | + | 1614.27i | 0.435766 | + | 0.754770i | ||||
\(167\) | − | 2788.00i | − | 1.29187i | −0.763393 | − | 0.645934i | \(-0.776468\pi\) | ||
0.763393 | − | 0.645934i | \(-0.223532\pi\) | |||||||
\(168\) | 6.92820 | + | 148.000i | 0.00318168 | + | 0.0679670i | ||||
\(169\) | −2159.00 | −0.982704 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1781.00 | − | 3084.78i | 0.796471 | − | 1.37953i | ||||
\(172\) | 900.666 | + | 520.000i | 0.399274 | + | 0.230521i | ||||
\(173\) | 1367.45 | − | 789.500i | 0.600957 | − | 0.346963i | −0.168461 | − | 0.985708i | \(-0.553880\pi\) |
0.769418 | + | 0.638746i | \(0.220546\pi\) | |||||||
\(174\) | −212.000 | −0.0923660 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 560.000 | 0.239839 | ||||||||
\(177\) | −14.7224 | + | 8.50000i | −0.00625201 | + | 0.00360960i | ||||
\(178\) | −1512.08 | − | 873.000i | −0.636715 | − | 0.367607i | ||||
\(179\) | 1225.50 | − | 2122.63i | 0.511722 | − | 0.886328i | −0.488186 | − | 0.872740i | \(-0.662341\pi\) |
0.999908 | − | 0.0135883i | \(-0.00432541\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1170.00 | −0.480472 | −0.240236 | − | 0.970715i | \(-0.577225\pi\) | ||||
−0.240236 | + | 0.970715i | \(0.577225\pi\) | |||||||
\(182\) | −2171.99 | − | 1122.00i | −0.884608 | − | 0.456968i | ||||
\(183\) | − | 51.0000i | − | 0.0206012i | ||||||
\(184\) | 28.0000 | + | 48.4974i | 0.0112184 | + | 0.0194309i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −75.0000 | + | 129.904i | −0.0295660 | + | 0.0512097i | ||||
\(187\) | −1788.34 | + | 1032.50i | −0.699340 | + | 0.403764i | ||||
\(188\) | − | 684.000i | − | 0.265350i | ||||||
\(189\) | 530.000 | + | 826.188i | 0.203978 | + | 0.317970i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 637.500 | + | 1104.18i | 0.241507 | + | 0.418303i | 0.961144 | − | 0.276048i | \(-0.0890249\pi\) |
−0.719637 | + | 0.694351i | \(0.755692\pi\) | |||||||
\(192\) | −55.4256 | − | 32.0000i | −0.0208333 | − | 0.0120281i | ||||
\(193\) | −30.3109 | − | 17.5000i | −0.0113048 | − | 0.00652683i | 0.494337 | − | 0.869270i | \(-0.335411\pi\) |
−0.505642 | + | 0.862744i | \(0.668744\pi\) | |||||||
\(194\) | 290.000 | + | 502.295i | 0.107324 | + | 0.185890i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −794.000 | − | 1118.90i | −0.289359 | − | 0.407764i | ||||
\(197\) | 2734.00i | 0.988779i | 0.869241 | + | 0.494389i | \(0.164608\pi\) | ||||
−0.869241 | + | 0.494389i | \(0.835392\pi\) | |||||||
\(198\) | 1576.17 | − | 910.000i | 0.565724 | − | 0.326621i | ||||
\(199\) | 1121.50 | − | 1942.49i | 0.399503 | − | 0.691959i | −0.594162 | − | 0.804345i | \(-0.702516\pi\) |
0.993665 | + | 0.112387i | \(0.0358495\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 219.500 | + | 380.185i | 0.0770265 | + | 0.133414i | ||||
\(202\) | − | 2170.00i | − | 0.755845i | ||||||
\(203\) | 1652.38 | − | 1060.00i | 0.571301 | − | 0.366490i | ||||
\(204\) | 236.000 | 0.0809966 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1553.00 | − | 2689.87i | 0.525256 | − | 0.909769i | ||||
\(207\) | 157.617 | + | 91.0000i | 0.0529232 | + | 0.0305553i | ||||
\(208\) | 914.523 | − | 528.000i | 0.304859 | − | 0.176011i | ||||
\(209\) | −4795.00 | −1.58697 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1172.00 | 0.382388 | 0.191194 | − | 0.981552i | \(-0.438764\pi\) | ||||
0.191194 | + | 0.981552i | \(0.438764\pi\) | |||||||
\(212\) | 1444.53 | − | 834.000i | 0.467975 | − | 0.270186i | ||||
\(213\) | −678.964 | − | 392.000i | −0.218412 | − | 0.126100i | ||||
\(214\) | −129.000 | + | 223.435i | −0.0412068 | + | 0.0713723i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −424.000 | −0.133563 | ||||||||
\(217\) | −64.9519 | − | 1387.50i | −0.0203190 | − | 0.434054i | ||||
\(218\) | 1930.00i | 0.599615i | ||||||||
\(219\) | −147.500 | − | 255.477i | −0.0455120 | − | 0.0788291i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1947.00 | + | 3372.30i | −0.592622 | + | 1.02645i | ||||
\(222\) | −19.0526 | + | 11.0000i | −0.00576002 | + | 0.00332555i | ||||
\(223\) | 2024.00i | 0.607790i | 0.952706 | + | 0.303895i | \(0.0982871\pi\) | ||||
−0.952706 | + | 0.303895i | \(0.901713\pi\) | |||||||
\(224\) | 592.000 | − | 27.7128i | 0.176583 | − | 0.00826625i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −50.0000 | − | 86.6025i | −0.0147166 | − | 0.0254899i | ||||
\(227\) | 2226.55 | + | 1285.50i | 0.651019 | + | 0.375866i | 0.788847 | − | 0.614590i | \(-0.210679\pi\) |
−0.137827 | + | 0.990456i | \(0.544012\pi\) | |||||||
\(228\) | 474.582 | + | 274.000i | 0.137851 | + | 0.0795881i | ||||
\(229\) | 447.500 | + | 775.093i | 0.129134 | + | 0.223666i | 0.923341 | − | 0.383980i | \(-0.125447\pi\) |
−0.794207 | + | 0.607647i | \(0.792114\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 297.500 | − | 575.907i | 0.0847362 | − | 0.164034i | ||||
\(232\) | 848.000i | 0.239974i | ||||||||
\(233\) | 1547.59 | − | 893.500i | 0.435132 | − | 0.251224i | −0.266398 | − | 0.963863i | \(-0.585834\pi\) |
0.701531 | + | 0.712639i | \(0.252500\pi\) | |||||||
\(234\) | 1716.00 | − | 2972.20i | 0.479395 | − | 0.830336i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 34.0000 | + | 58.8897i | 0.00937801 | + | 0.0162432i | ||||
\(237\) | − | 495.000i | − | 0.135670i | ||||||
\(238\) | −1839.44 | + | 1180.00i | −0.500979 | + | 0.321378i | ||||
\(239\) | 5100.00 | 1.38030 | 0.690150 | − | 0.723667i | \(-0.257545\pi\) | ||||
0.690150 | + | 0.723667i | \(0.257545\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2088.50 | − | 3617.39i | 0.558225 | − | 0.966873i | −0.439420 | − | 0.898282i | \(-0.644816\pi\) |
0.997645 | − | 0.0685917i | \(-0.0218506\pi\) | |||||||
\(242\) | 183.597 | + | 106.000i | 0.0487690 | + | 0.0281568i | ||||
\(243\) | −1801.33 | + | 1040.00i | −0.475537 | + | 0.274552i | ||||
\(244\) | −204.000 | −0.0535236 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −996.000 | −0.258141 | ||||||||
\(247\) | −7830.60 | + | 4521.00i | −2.01720 | + | 1.16463i | ||||
\(248\) | 519.615 | + | 300.000i | 0.133047 | + | 0.0768146i | ||||
\(249\) | −466.000 | + | 807.136i | −0.118601 | + | 0.205422i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4680.00 | −1.17689 | −0.588444 | − | 0.808538i | \(-0.700259\pi\) | ||||
−0.588444 | + | 0.808538i | \(0.700259\pi\) | |||||||
\(252\) | 1621.20 | − | 1040.00i | 0.405262 | − | 0.259976i | ||||
\(253\) | − | 245.000i | − | 0.0608815i | ||||||
\(254\) | −936.000 | − | 1621.20i | −0.231220 | − | 0.400485i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1514.68 | − | 874.500i | 0.367638 | − | 0.212256i | −0.304788 | − | 0.952420i | \(-0.598586\pi\) |
0.672426 | + | 0.740164i | \(0.265252\pi\) | |||||||
\(258\) | 520.000i | 0.125480i | ||||||||
\(259\) | 93.5000 | − | 180.999i | 0.0224317 | − | 0.0434237i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1378.00 | + | 2386.77i | 0.326805 | + | 0.566043i | ||||
\(262\) | 1307.70 | + | 755.000i | 0.308358 | + | 0.178031i | ||||
\(263\) | 3873.73 | + | 2236.50i | 0.908230 | + | 0.524367i | 0.879861 | − | 0.475231i | \(-0.157635\pi\) |
0.0283689 | + | 0.999598i | \(0.490969\pi\) | |||||||
\(264\) | 140.000 | + | 242.487i | 0.0326379 | + | 0.0565305i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5069.00 | + | 237.291i | −1.16842 | + | 0.0546964i | ||||
\(267\) | − | 873.000i | − | 0.200100i | ||||||
\(268\) | 1520.74 | − | 878.000i | 0.346619 | − | 0.200121i | ||||
\(269\) | 987.500 | − | 1710.40i | 0.223825 | − | 0.387676i | −0.732141 | − | 0.681153i | \(-0.761479\pi\) |
0.955966 | + | 0.293476i | \(0.0948122\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4219.50 | + | 7308.39i | 0.945817 | + | 1.63820i | 0.754107 | + | 0.656751i | \(0.228070\pi\) |
0.191710 | + | 0.981452i | \(0.438597\pi\) | |||||||
\(272\) | − | 944.000i | − | 0.210435i | ||||||
\(273\) | −57.1577 | − | 1221.00i | −0.0126716 | − | 0.270690i | ||||
\(274\) | −4714.00 | −1.03935 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −14.0000 | + | 24.2487i | −0.00305326 | + | 0.00528841i | ||||
\(277\) | 456.395 | + | 263.500i | 0.0989969 | + | 0.0571559i | 0.548681 | − | 0.836032i | \(-0.315130\pi\) |
−0.449684 | + | 0.893188i | \(0.648463\pi\) | |||||||
\(278\) | −48.4974 | + | 28.0000i | −0.0104629 | + | 0.00604075i | ||||
\(279\) | 1950.00 | 0.418435 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −202.000 | −0.0428837 | −0.0214418 | − | 0.999770i | \(-0.506826\pi\) | ||||
−0.0214418 | + | 0.999770i | \(0.506826\pi\) | |||||||
\(282\) | 296.181 | − | 171.000i | 0.0625436 | − | 0.0361096i | ||||
\(283\) | 6884.04 | + | 3974.50i | 1.44598 | + | 0.834839i | 0.998239 | − | 0.0593220i | \(-0.0188939\pi\) |
0.447745 | + | 0.894161i | \(0.352227\pi\) | |||||||
\(284\) | −1568.00 | + | 2715.86i | −0.327619 | + | 0.567452i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4620.00 | −0.955197 | ||||||||
\(287\) | 7763.05 | − | 4980.00i | 1.59665 | − | 1.02425i | ||||
\(288\) | 832.000i | 0.170229i | ||||||||
\(289\) | −716.000 | − | 1240.15i | −0.145736 | − | 0.252422i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −145.000 | + | 251.147i | −0.0292098 | + | 0.0505929i | ||||
\(292\) | −1021.91 | + | 590.000i | −0.204804 | + | 0.118244i | ||||
\(293\) | 318.000i | 0.0634053i | 0.999497 | + | 0.0317027i | \(0.0100930\pi\) | ||||
−0.999497 | + | 0.0317027i | \(0.989907\pi\) | |||||||
\(294\) | 286.000 | − | 623.538i | 0.0567342 | − | 0.123692i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 44.0000 | + | 76.2102i | 0.00864003 | + | 0.0149650i | ||||
\(297\) | 1606.48 | + | 927.500i | 0.313863 | + | 0.181209i | ||||
\(298\) | 3975.06 | + | 2295.00i | 0.772714 | + | 0.446127i | ||||
\(299\) | −231.000 | − | 400.104i | −0.0446792 | − | 0.0773866i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2600.00 | − | 4053.00i | −0.497879 | − | 0.776116i | ||||
\(302\) | − | 2218.00i | − | 0.422621i | ||||||
\(303\) | 939.638 | − | 542.500i | 0.178154 | − | 0.102857i | ||||
\(304\) | 1096.00 | − | 1898.33i | 0.206776 | − | 0.358147i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1534.00 | − | 2656.97i | −0.286578 | − | 0.496368i | ||||
\(307\) | 8132.00i | 1.51178i | 0.654696 | + | 0.755892i | \(0.272797\pi\) | ||||
−0.654696 | + | 0.755892i | \(0.727203\pi\) | |||||||
\(308\) | −2303.63 | − | 1190.00i | −0.426173 | − | 0.220151i | ||||
\(309\) | 1553.00 | 0.285913 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 464.500 | − | 804.538i | 0.0846925 | − | 0.146692i | −0.820568 | − | 0.571549i | \(-0.806343\pi\) |
0.905260 | + | 0.424858i | \(0.139676\pi\) | |||||||
\(312\) | 457.261 | + | 264.000i | 0.0829722 | + | 0.0479040i | ||||
\(313\) | −180.999 | + | 104.500i | −0.0326859 | + | 0.0188712i | −0.516254 | − | 0.856436i | \(-0.672674\pi\) |
0.483568 | + | 0.875307i | \(0.339341\pi\) | |||||||
\(314\) | 3118.00 | 0.560379 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1980.00 | −0.352480 | ||||||||
\(317\) | −6175.63 | + | 3565.50i | −1.09419 | + | 0.631730i | −0.934689 | − | 0.355468i | \(-0.884322\pi\) |
−0.159500 | + | 0.987198i | \(0.550988\pi\) | |||||||
\(318\) | 722.265 | + | 417.000i | 0.127367 | + | 0.0735352i | ||||
\(319\) | 1855.00 | − | 3212.95i | 0.325580 | − | 0.563921i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −129.000 | −0.0224301 | ||||||||
\(322\) | −12.1244 | − | 259.000i | −0.00209834 | − | 0.0448246i | ||||
\(323\) | 8083.00i | 1.39242i | ||||||||
\(324\) | 1298.00 | + | 2248.20i | 0.222565 | + | 0.385494i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2251.00 | + | 3898.85i | −0.382427 | + | 0.662384i | ||||
\(327\) | −835.715 | + | 482.500i | −0.141331 | + | 0.0815973i | ||||
\(328\) | 3984.00i | 0.670670i | ||||||||
\(329\) | −1453.50 | + | 2813.72i | −0.243569 | + | 0.471505i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3285.50 | + | 5690.65i | 0.545581 | + | 0.944975i | 0.998570 | + | 0.0534583i | \(0.0170244\pi\) |
−0.452989 | + | 0.891516i | \(0.649642\pi\) | |||||||
\(332\) | 3228.54 | + | 1864.00i | 0.533703 | + | 0.308133i | ||||
\(333\) | 247.683 | + | 143.000i | 0.0407596 | + | 0.0235326i | ||||
\(334\) | −2788.00 | − | 4828.96i | −0.456744 | − | 0.791104i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 160.000 | + | 249.415i | 0.0259783 | + | 0.0404962i | ||||
\(337\) | 11466.0i | 1.85339i | 0.375813 | + | 0.926696i | \(0.377364\pi\) | ||||
−0.375813 | + | 0.926696i | \(0.622636\pi\) | |||||||
\(338\) | −3739.50 | + | 2159.00i | −0.601781 | + | 0.347438i | ||||
\(339\) | 25.0000 | − | 43.3013i | 0.00400535 | − | 0.00693747i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1312.50 | − | 2273.32i | −0.208434 | − | 0.361018i | ||||
\(342\) | − | 7124.00i | − | 1.12638i | ||||||
\(343\) | 888.542 | + | 6290.00i | 0.139874 | + | 0.990169i | ||||
\(344\) | 2080.00 | 0.326006 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1579.00 | − | 2734.91i | 0.245340 | − | 0.424941i | ||||
\(347\) | −8467.13 | − | 4888.50i | −1.30991 | − | 0.756278i | −0.327831 | − | 0.944737i | \(-0.606318\pi\) |
−0.982081 | + | 0.188459i | \(0.939651\pi\) | |||||||
\(348\) | −367.195 | + | 212.000i | −0.0565624 | + | 0.0326563i | ||||
\(349\) | −11914.0 | −1.82734 | −0.913670 | − | 0.406456i | \(-0.866764\pi\) | ||||
−0.913670 | + | 0.406456i | \(0.866764\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3498.00 | 0.531936 | ||||||||
\(352\) | 969.948 | − | 560.000i | 0.146871 | − | 0.0847957i | ||||
\(353\) | −7900.75 | − | 4561.50i | −1.19126 | − | 0.687774i | −0.232667 | − | 0.972556i | \(-0.574745\pi\) |
−0.958592 | + | 0.284783i | \(0.908079\pi\) | |||||||
\(354\) | −17.0000 | + | 29.4449i | −0.00255237 | + | 0.00442084i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −3492.00 | −0.519875 | ||||||||
\(357\) | −970.814 | − | 501.500i | −0.143924 | − | 0.0743479i | ||||
\(358\) | − | 4902.00i | − | 0.723684i | ||||||
\(359\) | 4074.50 | + | 7057.24i | 0.599008 | + | 1.03751i | 0.992968 | + | 0.118385i | \(0.0377716\pi\) |
−0.393960 | + | 0.919128i | \(0.628895\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5955.00 | + | 10314.4i | −0.868202 | + | 1.50377i | ||||
\(362\) | −2026.50 | + | 1170.00i | −0.294228 | + | 0.169872i | ||||
\(363\) | 106.000i | 0.0153266i | ||||||||
\(364\) | −4884.00 | + | 228.631i | −0.703272 | + | 0.0329217i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −51.0000 | − | 88.3346i | −0.00728364 | − | 0.0126156i | ||||
\(367\) | 8375.33 | + | 4835.50i | 1.19125 | + | 0.687769i | 0.958590 | − | 0.284790i | \(-0.0919237\pi\) |
0.232660 | + | 0.972558i | \(0.425257\pi\) | |||||||
\(368\) | 96.9948 | + | 56.0000i | 0.0137397 | + | 0.00793261i | ||||
\(369\) | 6474.00 | + | 11213.3i | 0.913341 | + | 1.58195i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7714.50 | + | 361.133i | −1.07956 | + | 0.0505366i | ||||
\(372\) | 300.000i | 0.0418126i | ||||||||
\(373\) | −3558.50 | + | 2054.50i | −0.493973 | + | 0.285196i | −0.726221 | − | 0.687461i | \(-0.758725\pi\) |
0.232248 | + | 0.972657i | \(0.425392\pi\) | |||||||
\(374\) | −2065.00 | + | 3576.68i | −0.285504 | + | 0.494508i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −684.000 | − | 1184.72i | −0.0938154 | − | 0.162493i | ||||
\(377\) | − | 6996.00i | − | 0.955736i | ||||||
\(378\) | 1744.18 | + | 901.000i | 0.237330 | + | 0.122599i | ||||
\(379\) | 3488.00 | 0.472735 | 0.236367 | − | 0.971664i | \(-0.424043\pi\) | ||||
0.236367 | + | 0.971664i | \(0.424043\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 468.000 | − | 810.600i | 0.0629301 | − | 0.108998i | ||||
\(382\) | 2208.36 | + | 1275.00i | 0.295785 | + | 0.170771i | ||||
\(383\) | 7549.14 | − | 4358.50i | 1.00716 | − | 0.581485i | 0.0968028 | − | 0.995304i | \(-0.469138\pi\) |
0.910360 | + | 0.413818i | \(0.135805\pi\) | |||||||
\(384\) | −128.000 | −0.0170103 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −70.0000 | −0.00923033 | ||||||||
\(387\) | 5854.33 | − | 3380.00i | 0.768973 | − | 0.443967i | ||||
\(388\) | 1004.59 | + | 580.000i | 0.131444 | + | 0.0758893i | ||||
\(389\) | 81.5000 | − | 141.162i | 0.0106227 | − | 0.0183990i | −0.860665 | − | 0.509171i | \(-0.829952\pi\) |
0.871288 | + | 0.490772i | \(0.163285\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −413.000 | −0.0534177 | ||||||||
\(392\) | −2494.15 | − | 1144.00i | −0.321362 | − | 0.147400i | ||||
\(393\) | 755.000i | 0.0969077i | ||||||||
\(394\) | 2734.00 | + | 4735.43i | 0.349586 | + | 0.605501i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1820.00 | − | 3152.33i | 0.230956 | − | 0.400027i | ||||
\(397\) | −865.159 | + | 499.500i | −0.109373 | + | 0.0631466i | −0.553689 | − | 0.832724i | \(-0.686780\pi\) |
0.444316 | + | 0.895870i | \(0.353447\pi\) | |||||||
\(398\) | − | 4486.00i | − | 0.564982i | ||||||
\(399\) | −1370.00 | − | 2135.62i | −0.171894 | − | 0.267957i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7378.50 | + | 12779.9i | 0.918865 | + | 1.59152i | 0.801143 | + | 0.598474i | \(0.204226\pi\) |
0.117722 | + | 0.993047i | \(0.462441\pi\) | |||||||
\(402\) | 760.370 | + | 439.000i | 0.0943379 | + | 0.0544660i | ||||
\(403\) | −4286.83 | − | 2475.00i | −0.529881 | − | 0.305927i | ||||
\(404\) | −2170.00 | − | 3758.55i | −0.267232 | − | 0.462859i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1802.00 | − | 3488.35i | 0.220275 | − | 0.426414i | ||||
\(407\) | − | 385.000i | − | 0.0468888i | ||||||
\(408\) | 408.764 | − | 236.000i | 0.0496001 | − | 0.0286366i | ||||
\(409\) | −66.5000 | + | 115.181i | −0.00803964 | + | 0.0139251i | −0.870017 | − | 0.493021i | \(-0.835892\pi\) |
0.861978 | + | 0.506946i | \(0.169226\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1178.50 | − | 2041.22i | −0.141438 | − | 0.244978i | ||||
\(412\) | − | 6212.00i | − | 0.742823i | ||||||
\(413\) | −14.7224 | − | 314.500i | −0.00175410 | − | 0.0374710i | ||||
\(414\) | 364.000 | 0.0432117 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1056.00 | − | 1829.05i | 0.124458 | − | 0.215568i | ||||
\(417\) | −24.2487 | − | 14.0000i | −0.00284764 | − | 0.00164408i | ||||
\(418\) | −8305.18 | + | 4795.00i | −0.971818 | + | 0.561079i | ||||
\(419\) | 6420.00 | 0.748538 | 0.374269 | − | 0.927320i | \(-0.377894\pi\) | ||||
0.374269 | + | 0.927320i | \(0.377894\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10266.0 | 1.18844 | 0.594221 | − | 0.804302i | \(-0.297460\pi\) | ||||
0.594221 | + | 0.804302i | \(0.297460\pi\) | |||||||
\(422\) | 2029.96 | − | 1172.00i | 0.234164 | − | 0.135194i | ||||
\(423\) | −3850.35 | − | 2223.00i | −0.442578 | − | 0.255522i | ||||
\(424\) | 1668.00 | − | 2889.06i | 0.191050 | − | 0.330908i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1568.00 | −0.178333 | ||||||||
\(427\) | 839.179 | + | 433.500i | 0.0951070 | + | 0.0491301i | ||||
\(428\) | 516.000i | 0.0582752i | ||||||||
\(429\) | −1155.00 | − | 2000.52i | −0.129986 | − | 0.225142i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7606.50 | − | 13174.8i | 0.850098 | − | 1.47241i | −0.0310213 | − | 0.999519i | \(-0.509876\pi\) |
0.881119 | − | 0.472894i | \(-0.156791\pi\) | |||||||
\(432\) | −734.390 | + | 424.000i | −0.0817901 | + | 0.0472215i | ||||
\(433\) | − | 1378.00i | − | 0.152939i | −0.997072 | − | 0.0764693i | \(-0.975635\pi\) | ||
0.997072 | − | 0.0764693i | \(-0.0243647\pi\) | |||||||
\(434\) | −1500.00 | − | 2338.27i | −0.165904 | − | 0.258619i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1930.00 | + | 3342.86i | 0.211996 | + | 0.367188i | ||||
\(437\) | −830.518 | − | 479.500i | −0.0909132 | − | 0.0524888i | ||||
\(438\) | −510.955 | − | 295.000i | −0.0557406 | − | 0.0321818i | ||||
\(439\) | −1381.50 | − | 2392.83i | −0.150195 | − | 0.260145i | 0.781104 | − | 0.624401i | \(-0.214657\pi\) |
−0.931299 | + | 0.364256i | \(0.881323\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −8879.00 | + | 833.116i | −0.958752 | + | 0.0899597i | ||||
\(442\) | 7788.00i | 0.838094i | ||||||||
\(443\) | 5065.38 | − | 2924.50i | 0.543259 | − | 0.313651i | −0.203140 | − | 0.979150i | \(-0.565115\pi\) |
0.746399 | + | 0.665499i | \(0.231781\pi\) | |||||||
\(444\) | −22.0000 | + | 38.1051i | −0.00235152 | + | 0.00407295i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2024.00 | + | 3505.67i | 0.214886 | + | 0.372194i | ||||
\(447\) | 2295.00i | 0.242841i | ||||||||
\(448\) | 997.661 | − | 640.000i | 0.105212 | − | 0.0674937i | ||||
\(449\) | −4582.00 | −0.481599 | −0.240799 | − | 0.970575i | \(-0.577410\pi\) | ||||
−0.240799 | + | 0.970575i | \(0.577410\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8715.00 | − | 15094.8i | 0.909919 | − | 1.57603i | ||||
\(452\) | −173.205 | − | 100.000i | −0.0180241 | − | 0.0104062i | ||||
\(453\) | 960.422 | − | 554.500i | 0.0996127 | − | 0.0575114i | ||||
\(454\) | 5142.00 | 0.531555 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1096.00 | 0.112555 | ||||||||
\(457\) | −10003.5 | + | 5775.50i | −1.02394 | + | 0.591174i | −0.915244 | − | 0.402901i | \(-0.868002\pi\) |
−0.108700 | + | 0.994075i | \(0.534669\pi\) | |||||||
\(458\) | 1550.19 | + | 895.000i | 0.158156 | + | 0.0913114i | ||||
\(459\) | 1563.50 | − | 2708.06i | 0.158993 | − | 0.275384i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9494.00 | −0.959175 | −0.479587 | − | 0.877494i | \(-0.659214\pi\) | ||||
−0.479587 | + | 0.877494i | \(0.659214\pi\) | |||||||
\(462\) | −60.6218 | − | 1295.00i | −0.00610472 | − | 0.130409i | ||||
\(463\) | − | 10160.0i | − | 1.01982i | −0.860229 | − | 0.509908i | \(-0.829679\pi\) | ||
0.860229 | − | 0.509908i | \(-0.170321\pi\) | |||||||
\(464\) | 848.000 | + | 1468.78i | 0.0848436 | + | 0.146953i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1787.00 | − | 3095.17i | 0.177642 | − | 0.307685i | ||||
\(467\) | 1131.90 | − | 653.500i | 0.112158 | − | 0.0647545i | −0.442872 | − | 0.896585i | \(-0.646040\pi\) |
0.555030 | + | 0.831831i | \(0.312707\pi\) | |||||||
\(468\) | − | 6864.00i | − | 0.677967i | ||||||
\(469\) | −8121.50 | + | 380.185i | −0.799608 | + | 0.0374314i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 779.500 | + | 1350.13i | 0.0762579 | + | 0.132083i | ||||
\(472\) | 117.779 | + | 68.0000i | 0.0114857 | + | 0.00663126i | ||||
\(473\) | −7880.83 | − | 4550.00i | −0.766091 | − | 0.442303i | ||||
\(474\) | −495.000 | − | 857.365i | −0.0479665 | − | 0.0830803i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −2006.00 | + | 3883.26i | −0.193161 | + | 0.373926i | ||||
\(477\) | − | 10842.0i | − | 1.04072i | ||||||
\(478\) | 8833.46 | − | 5100.00i | 0.845257 | − | 0.488010i | ||||
\(479\) | 9143.50 | − | 15837.0i | 0.872186 | − | 1.51067i | 0.0124559 | − | 0.999922i | \(-0.496035\pi\) |
0.859730 | − | 0.510748i | \(-0.170632\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −363.000 | − | 628.734i | −0.0344103 | − | 0.0596005i | ||||
\(482\) | − | 8354.00i | − | 0.789449i | ||||||
\(483\) | 109.119 | − | 70.0000i | 0.0102797 | − | 0.00659443i | ||||
\(484\) | 424.000 | 0.0398197 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −2080.00 | + | 3602.67i | −0.194137 | + | 0.336256i | ||||
\(487\) | −12949.7 | − | 7476.50i | −1.20494 | − | 0.695673i | −0.243291 | − | 0.969953i | \(-0.578227\pi\) |
−0.961650 | + | 0.274281i | \(0.911560\pi\) | |||||||
\(488\) | −353.338 | + | 204.000i | −0.0327764 | + | 0.0189235i | ||||
\(489\) | −2251.00 | −0.208167 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14352.0 | 1.31914 | 0.659569 | − | 0.751644i | \(-0.270739\pi\) | ||||
0.659569 | + | 0.751644i | \(0.270739\pi\) | |||||||
\(492\) | −1725.12 | + | 996.000i | −0.158078 | + | 0.0912666i | ||||
\(493\) | −5416.12 | − | 3127.00i | −0.494787 | − | 0.285665i | ||||
\(494\) | −9042.00 | + | 15661.2i | −0.823520 | + | 1.42638i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1200.00 | 0.108632 | ||||||||
\(497\) | 12221.4 | − | 7840.00i | 1.10302 | − | 0.707590i | ||||
\(498\) | 1864.00i | 0.167727i | ||||||||
\(499\) | −2765.50 | − | 4789.99i | −0.248098 | − | 0.429718i | 0.714900 | − | 0.699226i | \(-0.246472\pi\) |
−0.962998 | + | 0.269509i | \(0.913139\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1394.00 | − | 2414.48i | 0.124310 | − | 0.215311i | ||||
\(502\) | −8106.00 | + | 4680.00i | −0.720694 | + | 0.416093i | ||||
\(503\) | 8400.00i | 0.744607i | 0.928111 | + | 0.372304i | \(0.121432\pi\) | ||||
−0.928111 | + | 0.372304i | \(0.878568\pi\) | |||||||
\(504\) | 1768.00 | − | 3422.53i | 0.156256 | − | 0.302484i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −245.000 | − | 424.352i | −0.0215249 | − | 0.0372821i | ||||
\(507\) | −1869.75 | − | 1079.50i | −0.163784 | − | 0.0945607i | ||||
\(508\) | −3242.40 | − | 1872.00i | −0.283185 | − | 0.163497i | ||||
\(509\) | −1192.50 | − | 2065.47i | −0.103844 | − | 0.179863i | 0.809421 | − | 0.587228i | \(-0.199781\pi\) |
−0.913265 | + | 0.407365i | \(0.866448\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5457.50 | − | 255.477i | 0.472457 | − | 0.0221167i | ||||
\(512\) | 512.000i | 0.0441942i | ||||||||
\(513\) | 6288.21 | − | 3630.50i | 0.541192 | − | 0.312457i | ||||
\(514\) | 1749.00 | − | 3029.36i | 0.150088 | − | 0.259960i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 520.000 | + | 900.666i | 0.0443638 | + | 0.0768404i | ||||
\(517\) | 5985.00i | 0.509130i | ||||||||
\(518\) | −19.0526 | − | 407.000i | −0.00161606 | − | 0.0345223i | ||||
\(519\) | 1579.00 | 0.133546 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4576.50 | − | 7926.73i | 0.384837 | − | 0.666557i | −0.606910 | − | 0.794771i | \(-0.707591\pi\) |
0.991747 | + | 0.128214i | \(0.0409243\pi\) | |||||||
\(522\) | 4773.53 | + | 2756.00i | 0.400253 | + | 0.231086i | ||||
\(523\) | −11957.2 | + | 6903.50i | −0.999718 | + | 0.577187i | −0.908165 | − | 0.418613i | \(-0.862516\pi\) |
−0.0915530 | + | 0.995800i | \(0.529183\pi\) | |||||||
\(524\) | 3020.00 | 0.251773 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8946.00 | 0.741567 | ||||||||
\(527\) | −3832.16 | + | 2212.50i | −0.316758 | + | 0.182880i | ||||
\(528\) | 484.974 | + | 280.000i | 0.0399731 | + | 0.0230785i | ||||
\(529\) | −6059.00 | + | 10494.5i | −0.497986 | + | 0.862538i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 442.000 | 0.0361227 | ||||||||
\(532\) | −8542.47 | + | 5480.00i | −0.696172 | + | 0.446594i | ||||
\(533\) | − | 32868.0i | − | 2.67105i | ||||||
\(534\) | −873.000 | − | 1512.08i | −0.0707461 | − | 0.122536i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1756.00 | − | 3041.48i | 0.141507 | − | 0.245097i | ||||
\(537\) | 2122.63 | − | 1225.50i | 0.170574 | − | 0.0984809i | ||||
\(538\) | − | 3950.00i | − | 0.316536i | ||||||
\(539\) | 6947.50 | + | 9790.42i | 0.555195 | + | 0.782381i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4087.50 | − | 7079.76i | −0.324834 | − | 0.562629i | 0.656645 | − | 0.754200i | \(-0.271975\pi\) |
−0.981479 | + | 0.191571i | \(0.938642\pi\) | |||||||
\(542\) | 14616.8 | + | 8439.00i | 1.15838 | + | 0.668794i | ||||
\(543\) | −1013.25 | − | 585.000i | −0.0800787 | − | 0.0462334i | ||||
\(544\) | −944.000 | − | 1635.06i | −0.0744001 | − | 0.128865i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −1320.00 | − | 2057.68i | −0.103463 | − | 0.161283i | ||||
\(547\) | − | 4656.00i | − | 0.363942i | −0.983304 | − | 0.181971i | \(-0.941752\pi\) | ||
0.983304 | − | 0.181971i | \(-0.0582477\pi\) | |||||||
\(548\) | −8164.89 | + | 4714.00i | −0.636472 | + | 0.367467i | ||||
\(549\) | −663.000 | + | 1148.35i | −0.0515413 | + | 0.0892721i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7261.00 | − | 12576.4i | −0.561396 | − | 0.972366i | ||||
\(552\) | 56.0000i | 0.00431797i | ||||||||
\(553\) | 8144.97 | + | 4207.50i | 0.626328 | + | 0.323546i | ||||
\(554\) | 1054.00 | 0.0808306 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −56.0000 | + | 96.9948i | −0.00427146 | + | 0.00739838i | ||||
\(557\) | 6064.78 | + | 3501.50i | 0.461352 | + | 0.266361i | 0.712612 | − | 0.701558i | \(-0.247512\pi\) |
−0.251261 | + | 0.967919i | \(0.580845\pi\) | |||||||
\(558\) | 3377.50 | − | 1950.00i | 0.256238 | − | 0.147939i | ||||
\(559\) | −17160.0 | −1.29837 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2065.00 | −0.155409 | ||||||||
\(562\) | −349.874 | + | 202.000i | −0.0262608 | + | 0.0151617i | ||||
\(563\) | 17106.6 | + | 9876.50i | 1.28056 | + | 0.739334i | 0.976951 | − | 0.213462i | \(-0.0684740\pi\) |
0.303612 | + | 0.952796i | \(0.401807\pi\) | |||||||
\(564\) | 342.000 | − | 592.361i | 0.0255333 | − | 0.0442250i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 15898.0 | 1.18064 | ||||||||
\(567\) | −562.050 | − | 12006.5i | −0.0416295 | − | 0.889287i | ||||
\(568\) | 6272.00i | 0.463323i | ||||||||
\(569\) | −3448.50 | − | 5972.98i | −0.254075 | − | 0.440071i | 0.710569 | − | 0.703628i | \(-0.248438\pi\) |
−0.964644 | + | 0.263557i | \(0.915104\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12457.5 | + | 21577.0i | −0.913013 | + | 1.58138i | −0.103227 | + | 0.994658i | \(0.532917\pi\) |
−0.809785 | + | 0.586726i | \(0.800416\pi\) | |||||||
\(572\) | −8002.07 | + | 4620.00i | −0.584936 | + | 0.337713i | ||||
\(573\) | 1275.00i | 0.0929562i | ||||||||
\(574\) | 8466.00 | − | 16388.7i | 0.615617 | − | 1.19172i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 832.000 | + | 1441.07i | 0.0601852 | + | 0.104244i | ||||
\(577\) | 109.985 | + | 63.5000i | 0.00793543 | + | 0.00458152i | 0.503962 | − | 0.863726i | \(-0.331875\pi\) |
−0.496027 | + | 0.868307i | \(0.665208\pi\) | |||||||
\(578\) | −2480.30 | − | 1432.00i | −0.178489 | − | 0.103051i | ||||
\(579\) | −17.5000 | − | 30.3109i | −0.00125609 | − | 0.00217561i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9320.00 | − | 14528.4i | −0.665506 | − | 1.03742i | ||||
\(582\) | 580.000i | 0.0413089i | ||||||||
\(583\) | −12639.6 | + | 7297.50i | −0.897908 | + | 0.518407i | ||||
\(584\) | −1180.00 | + | 2043.82i | −0.0836109 | + | 0.144818i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 318.000 | + | 550.792i | 0.0224172 | + | 0.0388277i | ||||
\(587\) | − | 9044.00i | − | 0.635921i | −0.948104 | − | 0.317961i | \(-0.897002\pi\) | ||
0.948104 | − | 0.317961i | \(-0.102998\pi\) | |||||||
\(588\) | −128.172 | − | 1366.00i | −0.00898931 | − | 0.0958042i | ||||
\(589\) | −10275.0 | −0.718801 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1367.00 | + | 2367.71i | −0.0951453 | + | 0.164796i | ||||
\(592\) | 152.420 | + | 88.0000i | 0.0105818 | + | 0.00610942i | ||||
\(593\) | −9267.34 | + | 5350.50i | −0.641760 | + | 0.370521i | −0.785292 | − | 0.619125i | \(-0.787487\pi\) |
0.143532 | + | 0.989646i | \(0.454154\pi\) | |||||||
\(594\) | 3710.00 | 0.256268 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9180.00 | 0.630919 | ||||||||
\(597\) | 1942.49 | − | 1121.50i | 0.133168 | − | 0.0768843i | ||||
\(598\) | −800.207 | − | 462.000i | −0.0547206 | − | 0.0315930i | ||||
\(599\) | 10399.5 | − | 18012.5i | 0.709369 | − | 1.22866i | −0.255722 | − | 0.966750i | \(-0.582313\pi\) |
0.965091 | − | 0.261913i | \(-0.0843533\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1402.00 | −0.0951560 | −0.0475780 | − | 0.998868i | \(-0.515150\pi\) | ||||
−0.0475780 | + | 0.998868i | \(0.515150\pi\) | |||||||
\(602\) | −8556.33 | − | 4420.00i | −0.579286 | − | 0.299245i | ||||
\(603\) | − | 11414.0i | − | 0.770836i | ||||||
\(604\) | −2218.00 | − | 3841.69i | −0.149419 | − | 0.258801i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1085.00 | − | 1879.28i | 0.0727312 | − | 0.125974i | ||||
\(607\) | −5650.82 | + | 3262.50i | −0.377858 | + | 0.218156i | −0.676886 | − | 0.736088i | \(-0.736671\pi\) |
0.299028 | + | 0.954244i | \(0.403338\pi\) | |||||||
\(608\) | − | 4384.00i | − | 0.292425i | ||||||
\(609\) | 1961.00 | − | 91.7987i | 0.130482 | − | 0.00610816i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5643.00 | + | 9773.96i | 0.373636 | + | 0.647156i | ||||
\(612\) | −5313.93 | − | 3068.00i | −0.350985 | − | 0.202641i | ||||
\(613\) | −13034.5 | − | 7525.50i | −0.858826 | − | 0.495844i | 0.00479285 | − | 0.999989i | \(-0.498474\pi\) |
−0.863619 | + | 0.504145i | \(0.831808\pi\) | |||||||
\(614\) | 8132.00 | + | 14085.0i | 0.534496 | + | 0.925775i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5180.00 | + | 242.487i | −0.338812 | + | 0.0158605i | ||||
\(617\) | − | 11150.0i | − | 0.727524i | −0.931492 | − | 0.363762i | \(-0.881492\pi\) | ||
0.931492 | − | 0.363762i | \(-0.118508\pi\) | |||||||
\(618\) | 2689.87 | − | 1553.00i | 0.175085 | − | 0.101085i | ||||
\(619\) | 1707.50 | − | 2957.48i | 0.110873 | − | 0.192037i | −0.805250 | − | 0.592936i | \(-0.797969\pi\) |
0.916122 | + | 0.400899i | \(0.131302\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 185.500 | + | 321.295i | 0.0119869 | + | 0.0207619i | ||||
\(622\) | − | 1858.00i | − | 0.119773i | ||||||
\(623\) | 14364.8 | + | 7420.50i | 0.923775 | + | 0.477201i | ||||
\(624\) | 1056.00 | 0.0677465 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −209.000 | + | 361.999i | −0.0133440 | + | 0.0231124i | ||||
\(627\) | −4152.59 | − | 2397.50i | −0.264495 | − | 0.152706i | ||||
\(628\) | 5400.53 | − | 3118.00i | 0.343160 | − | 0.198124i | ||||
\(629\) | −649.000 | −0.0411404 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21184.0 | −1.33648 | −0.668242 | − | 0.743944i | \(-0.732953\pi\) | ||||
−0.668242 | + | 0.743944i | \(0.732953\pi\) | |||||||
\(632\) | −3429.46 | + | 1980.00i | −0.215849 | + | 0.124621i | ||||
\(633\) | 1014.98 | + | 586.000i | 0.0637313 | + | 0.0367953i | ||||
\(634\) | −7131.00 | + | 12351.3i | −0.446701 | + | 0.773708i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1668.00 | 0.103995 | ||||||||
\(637\) | 20576.8 | + | 9438.00i | 1.27988 | + | 0.587044i | ||||
\(638\) | − | 7420.00i | − | 0.460440i | ||||||
\(639\) | 10192.0 | + | 17653.1i | 0.630969 | + | 1.09287i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5352.50 | − | 9270.80i | 0.329814 | − | 0.571255i | −0.652660 | − | 0.757651i | \(-0.726347\pi\) |
0.982475 | + | 0.186395i | \(0.0596805\pi\) | |||||||
\(642\) | −223.435 | + | 129.000i | −0.0137356 | + | 0.00793026i | ||||
\(643\) | 6860.00i | 0.420734i | 0.977622 | + | 0.210367i | \(0.0674659\pi\) | ||||
−0.977622 | + | 0.210367i | \(0.932534\pi\) | |||||||
\(644\) | −280.000 | − | 436.477i | −0.0171328 | − | 0.0267074i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8083.00 | + | 14000.2i | 0.492293 | + | 0.852677i | ||||
\(647\) | 12525.3 | + | 7231.50i | 0.761084 | + | 0.439412i | 0.829685 | − | 0.558232i | \(-0.188520\pi\) |
−0.0686008 | + | 0.997644i | \(0.521853\pi\) | |||||||
\(648\) | 4496.40 | + | 2596.00i | 0.272586 | + | 0.157377i | ||||
\(649\) | −297.500 | − | 515.285i | −0.0179937 | − | 0.0311660i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 637.500 | − | 1234.09i | 0.0383803 | − | 0.0742975i | ||||
\(652\) | 9004.00i | 0.540834i | ||||||||
\(653\) | 5177.97 | − | 2989.50i | 0.310305 | − | 0.179155i | −0.336758 | − | 0.941591i | \(-0.609330\pi\) |
0.647063 | + | 0.762436i | \(0.275997\pi\) | |||||||
\(654\) | −965.000 | + | 1671.43i | −0.0576980 | + | 0.0999359i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3984.00 | + | 6900.49i | 0.237117 | + | 0.410700i | ||||
\(657\) | 7670.00i | 0.455457i | ||||||||
\(658\) | 296.181 | + | 6327.00i | 0.0175476 | + | 0.374851i | ||||
\(659\) | 6940.00 | 0.410234 | 0.205117 | − | 0.978737i | \(-0.434243\pi\) | ||||
0.205117 | + | 0.978737i | \(0.434243\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6699.50 | + | 11603.9i | −0.394221 | + | 0.682812i | −0.993001 | − | 0.118102i | \(-0.962319\pi\) |
0.598780 | + | 0.800914i | \(0.295652\pi\) | |||||||
\(662\) | 11381.3 | + | 6571.00i | 0.668198 | + | 0.385784i | ||||
\(663\) | −3372.30 | + | 1947.00i | −0.197541 | + | 0.114050i | ||||
\(664\) | 7456.00 | 0.435766 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 572.000 | 0.0332801 | ||||||||
\(667\) | 642.591 | − | 371.000i | 0.0373032 | − | 0.0215370i | ||||
\(668\) | −9657.92 | − | 5576.00i | −0.559395 | − | 0.322967i | ||||
\(669\) | −1012.00 | + | 1752.84i | −0.0584846 | + | 0.101298i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1785.00 | 0.102696 | ||||||||
\(672\) | 526.543 | + | 272.000i | 0.0302260 | + | 0.0156140i | ||||
\(673\) | 29510.0i | 1.69023i | 0.534582 | + | 0.845117i | \(0.320469\pi\) | ||||
−0.534582 | + | 0.845117i | \(0.679531\pi\) | |||||||
\(674\) | 11466.0 | + | 19859.7i | 0.655273 | + | 1.13497i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4318.00 | + | 7479.00i | −0.245676 | + | 0.425523i | ||||
\(677\) | 22517.5 | − | 13000.5i | 1.27831 | − | 0.738035i | 0.301776 | − | 0.953379i | \(-0.402421\pi\) |
0.976538 | + | 0.215344i | \(0.0690872\pi\) | |||||||
\(678\) | − | 100.000i | − | 0.00566442i | ||||||
\(679\) | −2900.00 | − | 4520.65i | −0.163905 | − | 0.255503i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1285.50 | + | 2226.55i | 0.0723355 | + | 0.125289i | ||||
\(682\) | −4546.63 | − | 2625.00i | −0.255278 | − | 0.147385i | ||||
\(683\) | 7625.35 | + | 4402.50i | 0.427198 | + | 0.246643i | 0.698152 | − | 0.715949i | \(-0.254006\pi\) |
−0.270954 | + | 0.962592i | \(0.587339\pi\) | |||||||
\(684\) | −7124.00 | − | 12339.1i | −0.398235 | − | 0.689764i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 7829.00 | + | 10006.1i | 0.435733 | + | 0.556899i | ||||
\(687\) | 895.000i | 0.0497036i | ||||||||
\(688\) | 3602.67 | − | 2080.00i | 0.199637 | − | 0.115261i | ||||
\(689\) | −13761.0 | + | 23834.8i | −0.760889 | + | 1.31790i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14342.5 | − | 24841.9i | −0.789601 | − | 1.36763i | −0.926211 | − | 0.377004i | \(-0.876954\pi\) |
0.136610 | − | 0.990625i | \(-0.456379\pi\) | |||||||
\(692\) | − | 6316.00i | − | 0.346963i | ||||||
\(693\) | −14185.5 | + | 9100.00i | −0.777579 | + | 0.498817i | ||||
\(694\) | −19554.0 | −1.06954 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −424.000 | + | 734.390i | −0.0230915 | + | 0.0399956i | ||||
\(697\) | −25445.6 | − | 14691.0i | −1.38281 | − | 0.798366i | ||||
\(698\) | −20635.7 | + | 11914.0i | −1.11901 | + | 0.646062i | ||||
\(699\) | 1787.00 | 0.0966961 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3146.00 | −0.169505 | −0.0847523 | − | 0.996402i | \(-0.527010\pi\) | ||||
−0.0847523 | + | 0.996402i | \(0.527010\pi\) | |||||||
\(702\) | 6058.71 | − | 3498.00i | 0.325743 | − | 0.188068i | ||||
\(703\) | −1305.10 | − | 753.500i | −0.0700182 | − | 0.0404250i | ||||
\(704\) | 1120.00 | − | 1939.90i | 0.0599596 | − | 0.103853i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18246.0 | −0.972659 | ||||||||
\(707\) | 939.638 | + | 20072.5i | 0.0499840 | + | 1.06776i | ||||
\(708\) | 68.0000i | 0.00360960i | ||||||||
\(709\) | 629.500 | + | 1090.33i | 0.0333447 | + | 0.0577547i | 0.882216 | − | 0.470845i | \(-0.156051\pi\) |
−0.848871 | + | 0.528599i | \(0.822717\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6435.00 | + | 11145.7i | −0.339425 | + | 0.587902i | ||||
\(712\) | −6048.32 | + | 3492.00i | −0.318357 | + | 0.183804i | ||||
\(713\) | − | 525.000i | − | 0.0275756i | ||||||
\(714\) | −2183.00 | + | 102.191i | −0.114421 | + | 0.00535631i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4902.00 | − | 8490.51i | −0.255861 | − | 0.443164i | ||||
\(717\) | 4416.73 | + | 2550.00i | 0.230050 | + | 0.132819i | ||||
\(718\) | 14114.5 | + | 8149.00i | 0.733632 | + | 0.423563i | ||||
\(719\) | 8212.50 | + | 14224.5i | 0.425973 | + | 0.737807i | 0.996511 | − | 0.0834645i | \(-0.0265985\pi\) |
−0.570538 | + | 0.821271i | \(0.693265\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13200.5 | + | 25553.8i | −0.681848 | + | 1.31994i | ||||
\(722\) | 23820.0i | 1.22782i | ||||||||
\(723\) | 3617.39 | − | 2088.50i | 0.186075 | − | 0.107430i | ||||
\(724\) | −2340.00 | + | 4053.00i | −0.120118 | + | 0.208050i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 106.000 | + | 183.597i | 0.00541877 | + | 0.00938559i | ||||
\(727\) | 6032.00i | 0.307723i | 0.988092 | + | 0.153861i | \(0.0491709\pi\) | ||||
−0.988092 | + | 0.153861i | \(0.950829\pi\) | |||||||
\(728\) | −8230.71 | + | 5280.00i | −0.419025 | + | 0.268805i | ||||
\(729\) | 15443.0 | 0.784586 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7670.00 | + | 13284.8i | −0.388078 | + | 0.672171i | ||||
\(732\) | −176.669 | − | 102.000i | −0.00892060 | − | 0.00515031i | ||||
\(733\) | 13200.8 | − | 7621.50i | 0.665189 | − | 0.384047i | −0.129062 | − | 0.991636i | \(-0.541197\pi\) |
0.794251 | + | 0.607589i | \(0.207863\pi\) | |||||||
\(734\) | 19342.0 | 0.972652 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 224.000 | 0.0112184 | ||||||||
\(737\) | −13306.5 | + | 7682.50i | −0.665062 | + | 0.383974i | ||||
\(738\) | 22426.6 | + | 12948.0i | 1.11861 | + | 0.645830i | ||||
\(739\) | −5026.50 | + | 8706.15i | −0.250207 | + | 0.433371i | −0.963583 | − | 0.267411i | \(-0.913832\pi\) |
0.713376 | + | 0.700782i | \(0.247165\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9042.00 | −0.448267 | ||||||||
\(742\) | −13000.8 | + | 8340.00i | −0.643226 | + | 0.412629i | ||||
\(743\) | 24384.0i | 1.20399i | 0.798501 | + | 0.601993i | \(0.205627\pi\) | ||||
−0.798501 | + | 0.601993i | \(0.794373\pi\) | |||||||
\(744\) | 300.000 | + | 519.615i | 0.0147830 | + | 0.0256049i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −4109.00 | + | 7117.00i | −0.201664 | + | 0.349292i | ||||
\(747\) | 20985.5 | − | 12116.0i | 1.02787 | − | 0.593442i | ||||
\(748\) | 8260.00i | 0.403764i | ||||||||
\(749\) | 1096.50 | − | 2122.63i | 0.0534916 | − | 0.103550i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5794.50 | − | 10036.4i | −0.281550 | − | 0.487660i | 0.690216 | − | 0.723603i | \(-0.257515\pi\) |
−0.971767 | + | 0.235943i | \(0.924182\pi\) | |||||||
\(752\) | −2369.45 | − | 1368.00i | −0.114900 | − | 0.0663375i | ||||
\(753\) | −4053.00 | − | 2340.00i | −0.196148 | − | 0.113246i | ||||
\(754\) | −6996.00 | − | 12117.4i | −0.337904 | − | 0.585266i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3922.00 | − | 183.597i | 0.188680 | − | 0.00883250i | ||||
\(757\) | − | 14562.0i | − | 0.699161i | −0.936906 | − | 0.349581i | \(-0.886324\pi\) | ||
0.936906 | − | 0.349581i | \(-0.113676\pi\) | |||||||
\(758\) | 6041.39 | − | 3488.00i | 0.289490 | − | 0.167137i | ||||
\(759\) | 122.500 | − | 212.176i | 0.00585832 | − | 0.0101469i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 11382.5 | + | 19715.1i | 0.542201 | + | 0.939120i | 0.998777 | + | 0.0494360i | \(0.0157424\pi\) |
−0.456576 | + | 0.889684i | \(0.650924\pi\) | |||||||
\(762\) | − | 1872.00i | − | 0.0889966i | ||||||
\(763\) | −835.715 | − | 17852.5i | −0.0396526 | − | 0.847056i | ||||
\(764\) | 5100.00 | 0.241507 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8717.00 | − | 15098.3i | 0.411172 | − | 0.712171i | ||||
\(767\) | −971.681 | − | 561.000i | −0.0457436 | − | 0.0264101i | ||||
\(768\) | −221.703 | + | 128.000i | −0.0104167 | + | 0.00601407i | ||||
\(769\) | −3766.00 | −0.176600 | −0.0883000 | − | 0.996094i | \(-0.528143\pi\) | ||||
−0.0883000 | + | 0.996094i | \(0.528143\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1749.00 | 0.0816974 | ||||||||
\(772\) | −121.244 | + | 70.0000i | −0.00565240 | + | 0.00326341i | ||||
\(773\) | 23262.3 | + | 13430.5i | 1.08239 | + | 0.624918i | 0.931540 | − | 0.363639i | \(-0.118466\pi\) |
0.150849 | + | 0.988557i | \(0.451799\pi\) | |||||||
\(774\) | 6760.00 | − | 11708.7i | 0.313932 | − | 0.543746i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2320.00 | 0.107324 | ||||||||
\(777\) | 171.473 | − | 110.000i | 0.00791707 | − | 0.00507880i | ||||
\(778\) | − |