Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.16 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.16 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0624262 | + | 0.0624262i | −0.0312131 | + | 0.0312131i | −0.722541 | − | 0.691328i | \(-0.757026\pi\) |
0.691328 | + | 0.722541i | \(0.257026\pi\) | |||||||
\(3\) | 1.58284 | − | 1.58284i | 0.527613 | − | 0.527613i | −0.392247 | − | 0.919860i | \(-0.628302\pi\) |
0.919860 | + | 0.392247i | \(0.128302\pi\) | |||||||
\(4\) | 3.99221i | 0.998051i | ||||||||
\(5\) | 3.24675 | − | 3.24675i | 0.649350 | − | 0.649350i | −0.303486 | − | 0.952836i | \(-0.598150\pi\) |
0.952836 | + | 0.303486i | \(0.0981505\pi\) | |||||||
\(6\) | 0.197621i | 0.0329369i | ||||||||
\(7\) | 10.7744i | 1.53920i | 0.638529 | + | 0.769598i | \(0.279543\pi\) | ||||
−0.638529 | + | 0.769598i | \(0.720457\pi\) | |||||||
\(8\) | −0.498923 | − | 0.498923i | −0.0623654 | − | 0.0623654i | ||||
\(9\) | 3.98923i | 0.443248i | ||||||||
\(10\) | 0.405365i | 0.0405365i | ||||||||
\(11\) | −3.93817 | + | 3.93817i | −0.358015 | + | 0.358015i | −0.863081 | − | 0.505066i | \(-0.831468\pi\) |
0.505066 | + | 0.863081i | \(0.331468\pi\) | |||||||
\(12\) | 6.31903 | + | 6.31903i | 0.526585 | + | 0.526585i | ||||
\(13\) | 9.78974 | − | 9.78974i | 0.753057 | − | 0.753057i | −0.221992 | − | 0.975049i | \(-0.571256\pi\) |
0.975049 | + | 0.221992i | \(0.0712558\pi\) | |||||||
\(14\) | −0.672603 | − | 0.672603i | −0.0480431 | − | 0.0480431i | ||||
\(15\) | − | 10.2782i | − | 0.685212i | ||||||
\(16\) | −15.9065 | −0.994158 | ||||||||
\(17\) | 19.0991 | + | 19.0991i | 1.12348 | + | 1.12348i | 0.991215 | + | 0.132262i | \(0.0422240\pi\) |
0.132262 | + | 0.991215i | \(0.457776\pi\) | |||||||
\(18\) | −0.249033 | − | 0.249033i | −0.0138351 | − | 0.0138351i | ||||
\(19\) | − | 31.7760i | − | 1.67242i | −0.548407 | − | 0.836212i | \(-0.684766\pi\) | ||
0.548407 | − | 0.836212i | \(-0.315234\pi\) | |||||||
\(20\) | 12.9617 | + | 12.9617i | 0.648085 | + | 0.648085i | ||||
\(21\) | 17.0541 | + | 17.0541i | 0.812100 | + | 0.812100i | ||||
\(22\) | − | 0.491690i | − | 0.0223495i | ||||||
\(23\) | −18.4961 | −0.804179 | −0.402090 | − | 0.915600i | \(-0.631716\pi\) | ||||
−0.402090 | + | 0.915600i | \(0.631716\pi\) | |||||||
\(24\) | −1.57943 | −0.0658096 | ||||||||
\(25\) | 3.91721i | 0.156689i | ||||||||
\(26\) | 1.22227i | 0.0470105i | ||||||||
\(27\) | 20.5599 | + | 20.5599i | 0.761477 | + | 0.761477i | ||||
\(28\) | −43.0135 | −1.53620 | ||||||||
\(29\) | 31.7061 | 1.09331 | 0.546656 | − | 0.837357i | \(-0.315900\pi\) | ||||
0.546656 | + | 0.837357i | \(0.315900\pi\) | |||||||
\(30\) | 0.641628 | + | 0.641628i | 0.0213876 | + | 0.0213876i | ||||
\(31\) | 21.5701 | − | 21.5701i | 0.695809 | − | 0.695809i | −0.267695 | − | 0.963504i | \(-0.586262\pi\) |
0.963504 | + | 0.267695i | \(0.0862619\pi\) | |||||||
\(32\) | 2.98868 | − | 2.98868i | 0.0933961 | − | 0.0933961i | ||||
\(33\) | 12.4670i | 0.377787i | ||||||||
\(34\) | −2.38457 | −0.0701344 | ||||||||
\(35\) | 34.9817 | + | 34.9817i | 0.999477 | + | 0.999477i | ||||
\(36\) | −15.9258 | −0.442384 | ||||||||
\(37\) | −38.7864 | −1.04828 | −0.524140 | − | 0.851632i | \(-0.675613\pi\) | ||||
−0.524140 | + | 0.851632i | \(0.675613\pi\) | |||||||
\(38\) | 1.98366 | + | 1.98366i | 0.0522015 | + | 0.0522015i | ||||
\(39\) | − | 30.9912i | − | 0.794646i | ||||||
\(40\) | −3.23976 | −0.0809939 | ||||||||
\(41\) | 5.21153i | 0.127110i | 0.997978 | + | 0.0635552i | \(0.0202439\pi\) | ||||
−0.997978 | + | 0.0635552i | \(0.979756\pi\) | |||||||
\(42\) | −2.12925 | −0.0506963 | ||||||||
\(43\) | − | 77.7784i | − | 1.80880i | −0.426687 | − | 0.904399i | \(-0.640319\pi\) | ||
0.426687 | − | 0.904399i | \(-0.359681\pi\) | |||||||
\(44\) | −15.7220 | − | 15.7220i | −0.357318 | − | 0.357318i | ||||
\(45\) | 12.9520 | + | 12.9520i | 0.287823 | + | 0.287823i | ||||
\(46\) | 1.15464 | − | 1.15464i | 0.0251009 | − | 0.0251009i | ||||
\(47\) | − | 4.20836i | − | 0.0895395i | −0.998997 | − | 0.0447697i | \(-0.985745\pi\) | ||
0.998997 | − | 0.0447697i | \(-0.0142554\pi\) | |||||||
\(48\) | −25.1775 | + | 25.1775i | −0.524531 | + | 0.524531i | ||||
\(49\) | −67.0870 | −1.36912 | ||||||||
\(50\) | −0.244537 | − | 0.244537i | −0.00489073 | − | 0.00489073i | ||||
\(51\) | 60.4617 | 1.18552 | ||||||||
\(52\) | 39.0827 | + | 39.0827i | 0.751589 | + | 0.751589i | ||||
\(53\) | −24.7423 | −0.466835 | −0.233418 | − | 0.972377i | \(-0.574991\pi\) | ||||
−0.233418 | + | 0.972377i | \(0.574991\pi\) | |||||||
\(54\) | −2.56695 | −0.0475361 | ||||||||
\(55\) | 25.5725i | 0.464955i | ||||||||
\(56\) | 5.37558 | − | 5.37558i | 0.0959925 | − | 0.0959925i | ||||
\(57\) | −50.2964 | − | 50.2964i | −0.882393 | − | 0.882393i | ||||
\(58\) | −1.97929 | + | 1.97929i | −0.0341257 | + | 0.0341257i | ||||
\(59\) | −34.2105 | −0.579839 | −0.289919 | − | 0.957051i | \(-0.593628\pi\) | ||||
−0.289919 | + | 0.957051i | \(0.593628\pi\) | |||||||
\(60\) | 41.0326 | 0.683877 | ||||||||
\(61\) | −12.0497 | −0.197537 | −0.0987684 | − | 0.995110i | \(-0.531490\pi\) | ||||
−0.0987684 | + | 0.995110i | \(0.531490\pi\) | |||||||
\(62\) | 2.69308i | 0.0434367i | ||||||||
\(63\) | −42.9815 | −0.682245 | ||||||||
\(64\) | − | 63.2530i | − | 0.988328i | ||||||
\(65\) | − | 63.5697i | − | 0.977995i | ||||||
\(66\) | −0.778267 | − | 0.778267i | −0.0117919 | − | 0.0117919i | ||||
\(67\) | −2.95553 | + | 2.95553i | −0.0441124 | + | 0.0441124i | −0.728819 | − | 0.684706i | \(-0.759930\pi\) |
0.684706 | + | 0.728819i | \(0.259930\pi\) | |||||||
\(68\) | −76.2476 | + | 76.2476i | −1.12129 | + | 1.12129i | ||||
\(69\) | −29.2764 | + | 29.2764i | −0.424296 | + | 0.424296i | ||||
\(70\) | −4.36755 | −0.0623935 | ||||||||
\(71\) | −43.7088 | − | 43.7088i | −0.615617 | − | 0.615617i | 0.328787 | − | 0.944404i | \(-0.393360\pi\) |
−0.944404 | + | 0.328787i | \(0.893360\pi\) | |||||||
\(72\) | 1.99032 | − | 1.99032i | 0.0276433 | − | 0.0276433i | ||||
\(73\) | −37.0895 | + | 37.0895i | −0.508075 | + | 0.508075i | −0.913935 | − | 0.405860i | \(-0.866972\pi\) |
0.405860 | + | 0.913935i | \(0.366972\pi\) | |||||||
\(74\) | 2.42129 | − | 2.42129i | 0.0327201 | − | 0.0327201i | ||||
\(75\) | 6.20032 | + | 6.20032i | 0.0826710 | + | 0.0826710i | ||||
\(76\) | 126.856 | 1.66916 | ||||||||
\(77\) | −42.4313 | − | 42.4313i | −0.551056 | − | 0.551056i | ||||
\(78\) | 1.93466 | + | 1.93466i | 0.0248034 | + | 0.0248034i | ||||
\(79\) | −44.5612 | − | 44.5612i | −0.564065 | − | 0.564065i | 0.366394 | − | 0.930460i | \(-0.380592\pi\) |
−0.930460 | + | 0.366394i | \(0.880592\pi\) | |||||||
\(80\) | −51.6446 | + | 51.6446i | −0.645557 | + | 0.645557i | ||||
\(81\) | 29.1829 | 0.360283 | ||||||||
\(82\) | −0.325336 | − | 0.325336i | −0.00396751 | − | 0.00396751i | ||||
\(83\) | − | 128.962i | − | 1.55375i | −0.629653 | − | 0.776877i | \(-0.716803\pi\) | ||
0.629653 | − | 0.776877i | \(-0.283197\pi\) | |||||||
\(84\) | −68.0835 | + | 68.0835i | −0.810518 | + | 0.810518i | ||||
\(85\) | 124.020 | 1.45906 | ||||||||
\(86\) | 4.85541 | + | 4.85541i | 0.0564582 | + | 0.0564582i | ||||
\(87\) | 50.1857 | − | 50.1857i | 0.576847 | − | 0.576847i | ||||
\(88\) | 3.92969 | 0.0446555 | ||||||||
\(89\) | 22.1462 | + | 22.1462i | 0.248834 | + | 0.248834i | 0.820492 | − | 0.571658i | \(-0.193700\pi\) |
−0.571658 | + | 0.820492i | \(0.693700\pi\) | |||||||
\(90\) | −1.61709 | −0.0179677 | ||||||||
\(91\) | 105.478 | + | 105.478i | 1.15910 | + | 1.15910i | ||||
\(92\) | − | 73.8403i | − | 0.802612i | ||||||
\(93\) | − | 68.2840i | − | 0.734236i | ||||||
\(94\) | 0.262712 | + | 0.262712i | 0.00279480 | + | 0.00279480i | ||||
\(95\) | −103.169 | − | 103.169i | −1.08599 | − | 1.08599i | ||||
\(96\) | − | 9.46120i | − | 0.0985541i | ||||||
\(97\) | − | 129.468i | − | 1.33472i | −0.744734 | − | 0.667361i | \(-0.767424\pi\) | ||
0.744734 | − | 0.667361i | \(-0.232576\pi\) | |||||||
\(98\) | 4.18799 | − | 4.18799i | 0.0427346 | − | 0.0427346i | ||||
\(99\) | −15.7103 | − | 15.7103i | −0.158690 | − | 0.158690i | ||||
\(100\) | −15.6383 | −0.156383 | ||||||||
\(101\) | 28.6192 | 0.283359 | 0.141679 | − | 0.989913i | \(-0.454750\pi\) | ||||
0.141679 | + | 0.989913i | \(0.454750\pi\) | |||||||
\(102\) | −3.77439 | + | 3.77439i | −0.0370038 | + | 0.0370038i | ||||
\(103\) | 92.9620 | − | 92.9620i | 0.902544 | − | 0.902544i | −0.0931119 | − | 0.995656i | \(-0.529681\pi\) |
0.995656 | + | 0.0931119i | \(0.0296814\pi\) | |||||||
\(104\) | −9.76865 | −0.0939293 | ||||||||
\(105\) | 110.741 | 1.05468 | ||||||||
\(106\) | 1.54457 | − | 1.54457i | 0.0145714 | − | 0.0145714i | ||||
\(107\) | 202.394i | 1.89153i | 0.324853 | + | 0.945765i | \(0.394685\pi\) | ||||
−0.324853 | + | 0.945765i | \(0.605315\pi\) | |||||||
\(108\) | −82.0793 | + | 82.0793i | −0.759993 | + | 0.759993i | ||||
\(109\) | 23.1520i | 0.212403i | 0.994345 | + | 0.106202i | \(0.0338689\pi\) | ||||
−0.994345 | + | 0.106202i | \(0.966131\pi\) | |||||||
\(110\) | −1.59639 | − | 1.59639i | −0.0145127 | − | 0.0145127i | ||||
\(111\) | −61.3927 | + | 61.3927i | −0.553087 | + | 0.553087i | ||||
\(112\) | − | 171.383i | − | 1.53020i | ||||||
\(113\) | 100.066 | + | 100.066i | 0.885540 | + | 0.885540i | 0.994091 | − | 0.108551i | \(-0.0346210\pi\) |
−0.108551 | + | 0.994091i | \(0.534621\pi\) | |||||||
\(114\) | 6.27963 | 0.0550844 | ||||||||
\(115\) | −60.0523 | + | 60.0523i | −0.522194 | + | 0.522194i | ||||
\(116\) | 126.577i | 1.09118i | ||||||||
\(117\) | 39.0535 | + | 39.0535i | 0.333791 | + | 0.333791i | ||||
\(118\) | 2.13563 | − | 2.13563i | 0.0180986 | − | 0.0180986i | ||||
\(119\) | −205.781 | + | 205.781i | −1.72925 | + | 1.72925i | ||||
\(120\) | −5.12802 | + | 5.12802i | −0.0427335 | + | 0.0427335i | ||||
\(121\) | 89.9817i | 0.743650i | ||||||||
\(122\) | 0.752220 | − | 0.752220i | 0.00616574 | − | 0.00616574i | ||||
\(123\) | 8.24902 | + | 8.24902i | 0.0670652 | + | 0.0670652i | ||||
\(124\) | 86.1122 | + | 86.1122i | 0.694453 | + | 0.694453i | ||||
\(125\) | 93.8870 | + | 93.8870i | 0.751096 | + | 0.751096i | ||||
\(126\) | 2.68317 | − | 2.68317i | 0.0212950 | − | 0.0212950i | ||||
\(127\) | 131.466i | 1.03517i | 0.855633 | + | 0.517583i | \(0.173168\pi\) | ||||
−0.855633 | + | 0.517583i | \(0.826832\pi\) | |||||||
\(128\) | 15.9033 | + | 15.9033i | 0.124245 | + | 0.124245i | ||||
\(129\) | −123.111 | − | 123.111i | −0.954347 | − | 0.954347i | ||||
\(130\) | 3.96841 | + | 3.96841i | 0.0305263 | + | 0.0305263i | ||||
\(131\) | −36.0804 | + | 36.0804i | −0.275423 | + | 0.275423i | −0.831279 | − | 0.555856i | \(-0.812391\pi\) |
0.555856 | + | 0.831279i | \(0.312391\pi\) | |||||||
\(132\) | −49.7708 | −0.377051 | ||||||||
\(133\) | 342.367 | 2.57419 | ||||||||
\(134\) | − | 0.369006i | − | 0.00275377i | ||||||
\(135\) | 133.506 | 0.988931 | ||||||||
\(136\) | − | 19.0580i | − | 0.140132i | ||||||
\(137\) | − | 215.945i | − | 1.57624i | −0.615519 | − | 0.788122i | \(-0.711053\pi\) | ||
0.615519 | − | 0.788122i | \(-0.288947\pi\) | |||||||
\(138\) | − | 3.65523i | − | 0.0264872i | ||||||
\(139\) | 61.1637 | + | 61.1637i | 0.440027 | + | 0.440027i | 0.892021 | − | 0.451994i | \(-0.149287\pi\) |
−0.451994 | + | 0.892021i | \(0.649287\pi\) | |||||||
\(140\) | −139.654 | + | 139.654i | −0.997530 | + | 0.997530i | ||||
\(141\) | −6.66116 | − | 6.66116i | −0.0472422 | − | 0.0472422i | ||||
\(142\) | 5.45715 | 0.0384307 | ||||||||
\(143\) | 77.1073i | 0.539212i | ||||||||
\(144\) | − | 63.4548i | − | 0.440659i | ||||||
\(145\) | 102.942 | − | 102.942i | 0.709943 | − | 0.709943i | ||||
\(146\) | − | 4.63071i | − | 0.0317172i | ||||||
\(147\) | −106.188 | + | 106.188i | −0.722368 | + | 0.722368i | ||||
\(148\) | − | 154.843i | − | 1.04624i | ||||||
\(149\) | 162.520 | + | 162.520i | 1.09074 | + | 1.09074i | 0.995450 | + | 0.0952856i | \(0.0303764\pi\) |
0.0952856 | + | 0.995450i | \(0.469624\pi\) | |||||||
\(150\) | −0.774125 | −0.00516084 | ||||||||
\(151\) | −112.272 | − | 112.272i | −0.743524 | − | 0.743524i | 0.229730 | − | 0.973254i | \(-0.426216\pi\) |
−0.973254 | + | 0.229730i | \(0.926216\pi\) | |||||||
\(152\) | −15.8538 | + | 15.8538i | −0.104301 | + | 0.104301i | ||||
\(153\) | −76.1908 | + | 76.1908i | −0.497979 | + | 0.497979i | ||||
\(154\) | 5.29765 | 0.0344003 | ||||||||
\(155\) | − | 140.065i | − | 0.903647i | ||||||
\(156\) | 123.723 | 0.793097 | ||||||||
\(157\) | 101.987i | 0.649602i | 0.945782 | + | 0.324801i | \(0.105297\pi\) | ||||
−0.945782 | + | 0.324801i | \(0.894703\pi\) | |||||||
\(158\) | 5.56357 | 0.0352125 | ||||||||
\(159\) | −39.1631 | + | 39.1631i | −0.246309 | + | 0.246309i | ||||
\(160\) | − | 19.4070i | − | 0.121294i | ||||||
\(161\) | − | 199.284i | − | 1.23779i | ||||||
\(162\) | −1.82178 | + | 1.82178i | −0.0112456 | + | 0.0112456i | ||||
\(163\) | − | 245.743i | − | 1.50762i | −0.657091 | − | 0.753812i | \(-0.728213\pi\) | ||
0.657091 | − | 0.753812i | \(-0.271787\pi\) | |||||||
\(164\) | −20.8055 | −0.126863 | ||||||||
\(165\) | 40.4772 | + | 40.4772i | 0.245316 | + | 0.245316i | ||||
\(166\) | 8.05058 | + | 8.05058i | 0.0484975 | + | 0.0484975i | ||||
\(167\) | 46.4281 | − | 46.4281i | 0.278012 | − | 0.278012i | −0.554303 | − | 0.832315i | \(-0.687015\pi\) |
0.832315 | + | 0.554303i | \(0.187015\pi\) | |||||||
\(168\) | − | 17.0174i | − | 0.101294i | ||||||
\(169\) | − | 22.6780i | − | 0.134189i | ||||||
\(170\) | −7.74210 | + | 7.74210i | −0.0455418 | + | 0.0455418i | ||||
\(171\) | 126.762 | 0.741298 | ||||||||
\(172\) | 310.507 | 1.80527 | ||||||||
\(173\) | − | 284.894i | − | 1.64679i | −0.567471 | − | 0.823394i | \(-0.692078\pi\) | ||
0.567471 | − | 0.823394i | \(-0.307922\pi\) | |||||||
\(174\) | 6.26580i | 0.0360103i | ||||||||
\(175\) | −42.2055 | −0.241174 | ||||||||
\(176\) | 62.6426 | − | 62.6426i | 0.355924 | − | 0.355924i | ||||
\(177\) | −54.1497 | + | 54.1497i | −0.305931 | + | 0.305931i | ||||
\(178\) | −2.76501 | −0.0155337 | ||||||||
\(179\) | 155.483 | − | 155.483i | 0.868622 | − | 0.868622i | −0.123698 | − | 0.992320i | \(-0.539476\pi\) |
0.992320 | + | 0.123698i | \(0.0394755\pi\) | |||||||
\(180\) | −51.7072 | + | 51.7072i | −0.287262 | + | 0.287262i | ||||
\(181\) | 114.889i | 0.634744i | 0.948301 | + | 0.317372i | \(0.102800\pi\) | ||||
−0.948301 | + | 0.317372i | \(0.897200\pi\) | |||||||
\(182\) | −13.1692 | −0.0723583 | ||||||||
\(183\) | −19.0728 | + | 19.0728i | −0.104223 | + | 0.104223i | ||||
\(184\) | 9.22814 | + | 9.22814i | 0.0501529 | + | 0.0501529i | ||||
\(185\) | −125.930 | + | 125.930i | −0.680701 | + | 0.680701i | ||||
\(186\) | 4.26271 | + | 4.26271i | 0.0229178 | + | 0.0229178i | ||||
\(187\) | −150.431 | −0.804444 | ||||||||
\(188\) | 16.8006 | 0.0893650 | ||||||||
\(189\) | −221.520 | + | 221.520i | −1.17206 | + | 1.17206i | ||||
\(190\) | 12.8809 | 0.0677941 | ||||||||
\(191\) | 152.068 | 0.796168 | 0.398084 | − | 0.917349i | \(-0.369675\pi\) | ||||
0.398084 | + | 0.917349i | \(0.369675\pi\) | |||||||
\(192\) | −100.119 | − | 100.119i | −0.521455 | − | 0.521455i | ||||
\(193\) | −292.686 | −1.51651 | −0.758254 | − | 0.651959i | \(-0.773948\pi\) | ||||
−0.758254 | + | 0.651959i | \(0.773948\pi\) | |||||||
\(194\) | 8.08220 | + | 8.08220i | 0.0416608 | + | 0.0416608i | ||||
\(195\) | −100.621 | − | 100.621i | −0.516003 | − | 0.516003i | ||||
\(196\) | − | 267.825i | − | 1.36646i | ||||||
\(197\) | −196.641 | − | 11.8956i | −0.998175 | − | 0.0603839i | ||||
\(198\) | 1.96146 | 0.00990639 | ||||||||
\(199\) | 0.181286 | − | 0.181286i | 0.000910983 | − | 0.000910983i | −0.706651 | − | 0.707562i | \(-0.749795\pi\) |
0.707562 | + | 0.706651i | \(0.249795\pi\) | |||||||
\(200\) | 1.95439 | − | 1.95439i | 0.00977194 | − | 0.00977194i | ||||
\(201\) | 9.35628i | 0.0465486i | ||||||||
\(202\) | −1.78659 | + | 1.78659i | −0.00884450 | + | 0.00884450i | ||||
\(203\) | 341.613i | 1.68282i | ||||||||
\(204\) | 241.375i | 1.18321i | ||||||||
\(205\) | 16.9205 | + | 16.9205i | 0.0825392 | + | 0.0825392i | ||||
\(206\) | 11.6065i | 0.0563424i | ||||||||
\(207\) | − | 73.7853i | − | 0.356451i | ||||||
\(208\) | −155.721 | + | 155.721i | −0.748658 | + | 0.748658i | ||||
\(209\) | 125.139 | + | 125.139i | 0.598753 | + | 0.598753i | ||||
\(210\) | −6.91313 | + | 6.91313i | −0.0329197 | + | 0.0329197i | ||||
\(211\) | −134.216 | − | 134.216i | −0.636092 | − | 0.636092i | 0.313497 | − | 0.949589i | \(-0.398500\pi\) |
−0.949589 | + | 0.313497i | \(0.898500\pi\) | |||||||
\(212\) | − | 98.7763i | − | 0.465926i | ||||||
\(213\) | −138.368 | −0.649616 | ||||||||
\(214\) | −12.6347 | − | 12.6347i | −0.0590405 | − | 0.0590405i | ||||
\(215\) | −252.527 | − | 252.527i | −1.17454 | − | 1.17454i | ||||
\(216\) | − | 20.5156i | − | 0.0949796i | ||||||
\(217\) | 232.404 | + | 232.404i | 1.07099 | + | 1.07099i | ||||
\(218\) | −1.44529 | − | 1.44529i | −0.00662976 | − | 0.00662976i | ||||
\(219\) | 117.414i | 0.536135i | ||||||||
\(220\) | −102.091 | −0.464049 | ||||||||
\(221\) | 373.950 | 1.69208 | ||||||||
\(222\) | − | 7.66502i | − | 0.0345271i | ||||||
\(223\) | 4.20298i | 0.0188474i | 0.999956 | + | 0.00942371i | \(0.00299970\pi\) | ||||
−0.999956 | + | 0.00942371i | \(0.997000\pi\) | |||||||
\(224\) | 32.2011 | + | 32.2011i | 0.143755 | + | 0.143755i | ||||
\(225\) | −15.6267 | −0.0694519 | ||||||||
\(226\) | −12.4935 | −0.0552809 | ||||||||
\(227\) | 259.198 | + | 259.198i | 1.14184 | + | 1.14184i | 0.988113 | + | 0.153729i | \(0.0491283\pi\) |
0.153729 | + | 0.988113i | \(0.450872\pi\) | |||||||
\(228\) | 200.794 | − | 200.794i | 0.880674 | − | 0.880674i | ||||
\(229\) | 207.713 | − | 207.713i | 0.907045 | − | 0.907045i | −0.0889878 | − | 0.996033i | \(-0.528363\pi\) |
0.996033 | + | 0.0889878i | \(0.0283632\pi\) | |||||||
\(230\) | − | 7.49767i | − | 0.0325986i | ||||||
\(231\) | −134.324 | −0.581489 | ||||||||
\(232\) | −15.8189 | − | 15.8189i | −0.0681849 | − | 0.0681849i | ||||
\(233\) | −195.509 | −0.839093 | −0.419546 | − | 0.907734i | \(-0.637811\pi\) | ||||
−0.419546 | + | 0.907734i | \(0.637811\pi\) | |||||||
\(234\) | −4.87593 | −0.0208373 | ||||||||
\(235\) | −13.6635 | − | 13.6635i | −0.0581425 | − | 0.0581425i | ||||
\(236\) | − | 136.575i | − | 0.578709i | ||||||
\(237\) | −141.066 | −0.595217 | ||||||||
\(238\) | − | 25.6922i | − | 0.107951i | ||||||
\(239\) | −196.185 | −0.820857 | −0.410428 | − | 0.911893i | \(-0.634621\pi\) | ||||
−0.410428 | + | 0.911893i | \(0.634621\pi\) | |||||||
\(240\) | 163.490i | 0.681209i | ||||||||
\(241\) | −22.4349 | − | 22.4349i | −0.0930909 | − | 0.0930909i | 0.659028 | − | 0.752119i | \(-0.270968\pi\) |
−0.752119 | + | 0.659028i | \(0.770968\pi\) | |||||||
\(242\) | −5.61721 | − | 5.61721i | −0.0232116 | − | 0.0232116i | ||||
\(243\) | −138.847 | + | 138.847i | −0.571387 | + | 0.571387i | ||||
\(244\) | − | 48.1051i | − | 0.197152i | ||||||
\(245\) | −217.815 | + | 217.815i | −0.889040 | + | 0.889040i | ||||
\(246\) | −1.02991 | −0.00418662 | ||||||||
\(247\) | −311.079 | − | 311.079i | −1.25943 | − | 1.25943i | ||||
\(248\) | −21.5236 | −0.0867888 | ||||||||
\(249\) | −204.126 | − | 204.126i | −0.819781 | − | 0.819781i | ||||
\(250\) | −11.7220 | −0.0468881 | ||||||||
\(251\) | −318.964 | −1.27077 | −0.635386 | − | 0.772194i | \(-0.719159\pi\) | ||||
−0.635386 | + | 0.772194i | \(0.719159\pi\) | |||||||
\(252\) | − | 171.591i | − | 0.680916i | ||||||
\(253\) | 72.8408 | − | 72.8408i | 0.287908 | − | 0.287908i | ||||
\(254\) | −8.20692 | − | 8.20692i | −0.0323107 | − | 0.0323107i | ||||
\(255\) | 196.304 | − | 196.304i | 0.769820 | − | 0.769820i | ||||
\(256\) | 251.026 | 0.980572 | ||||||||
\(257\) | 234.621 | 0.912924 | 0.456462 | − | 0.889743i | \(-0.349116\pi\) | ||||
0.456462 | + | 0.889743i | \(0.349116\pi\) | |||||||
\(258\) | 15.3707 | 0.0595762 | ||||||||
\(259\) | − | 417.899i | − | 1.61351i | ||||||
\(260\) | 253.783 | 0.976090 | ||||||||
\(261\) | 126.483i | 0.484609i | ||||||||
\(262\) | − | 4.50473i | − | 0.0171936i | ||||||
\(263\) | 228.738 | + | 228.738i | 0.869725 | + | 0.869725i | 0.992442 | − | 0.122717i | \(-0.0391607\pi\) |
−0.122717 | + | 0.992442i | \(0.539161\pi\) | |||||||
\(264\) | 6.22007 | − | 6.22007i | 0.0235609 | − | 0.0235609i | ||||
\(265\) | −80.3320 | + | 80.3320i | −0.303140 | + | 0.303140i | ||||
\(266\) | −21.3727 | + | 21.3727i | −0.0803483 | + | 0.0803483i | ||||
\(267\) | 70.1078 | 0.262576 | ||||||||
\(268\) | −11.7991 | − | 11.7991i | −0.0440265 | − | 0.0440265i | ||||
\(269\) | −43.2513 | + | 43.2513i | −0.160786 | + | 0.160786i | −0.782915 | − | 0.622129i | \(-0.786268\pi\) |
0.622129 | + | 0.782915i | \(0.286268\pi\) | |||||||
\(270\) | −8.33425 | + | 8.33425i | −0.0308676 | + | 0.0308676i | ||||
\(271\) | −96.0163 | + | 96.0163i | −0.354304 | + | 0.354304i | −0.861708 | − | 0.507404i | \(-0.830605\pi\) |
0.507404 | + | 0.861708i | \(0.330605\pi\) | |||||||
\(272\) | −303.800 | − | 303.800i | −1.11691 | − | 1.11691i | ||||
\(273\) | 333.911 | 1.22312 | ||||||||
\(274\) | 13.4807 | + | 13.4807i | 0.0491995 | + | 0.0491995i | ||||
\(275\) | −15.4266 | − | 15.4266i | −0.0560969 | − | 0.0560969i | ||||
\(276\) | −116.877 | − | 116.877i | −0.423469 | − | 0.423469i | ||||
\(277\) | 315.357 | − | 315.357i | 1.13847 | − | 1.13847i | 0.149747 | − | 0.988724i | \(-0.452154\pi\) |
0.988724 | − | 0.149747i | \(-0.0478459\pi\) | |||||||
\(278\) | −7.63643 | −0.0274692 | ||||||||
\(279\) | 86.0480 | + | 86.0480i | 0.308416 | + | 0.308416i | ||||
\(280\) | − | 34.9063i | − | 0.124666i | ||||||
\(281\) | −115.671 | + | 115.671i | −0.411640 | + | 0.411640i | −0.882310 | − | 0.470670i | \(-0.844012\pi\) |
0.470670 | + | 0.882310i | \(0.344012\pi\) | |||||||
\(282\) | 0.831661 | 0.00294915 | ||||||||
\(283\) | −232.391 | − | 232.391i | −0.821170 | − | 0.821170i | 0.165106 | − | 0.986276i | \(-0.447203\pi\) |
−0.986276 | + | 0.165106i | \(0.947203\pi\) | |||||||
\(284\) | 174.495 | − | 174.495i | 0.614418 | − | 0.614418i | ||||
\(285\) | −326.600 | −1.14596 | ||||||||
\(286\) | −4.81351 | − | 4.81351i | −0.0168305 | − | 0.0168305i | ||||
\(287\) | −56.1509 | −0.195648 | ||||||||
\(288\) | 11.9225 | + | 11.9225i | 0.0413977 | + | 0.0413977i | ||||
\(289\) | 440.551i | 1.52440i | ||||||||
\(290\) | 12.8525i | 0.0443190i | ||||||||
\(291\) | −204.927 | − | 204.927i | −0.704218 | − | 0.704218i | ||||
\(292\) | −148.069 | − | 148.069i | −0.507085 | − | 0.507085i | ||||
\(293\) | 145.015i | 0.494931i | 0.968897 | + | 0.247466i | \(0.0795977\pi\) | ||||
−0.968897 | + | 0.247466i | \(0.920402\pi\) | |||||||
\(294\) | − | 13.2578i | − | 0.0450947i | ||||||
\(295\) | −111.073 | + | 111.073i | −0.376518 | + | 0.376518i | ||||
\(296\) | 19.3514 | + | 19.3514i | 0.0653764 | + | 0.0653764i | ||||
\(297\) | −161.937 | −0.545241 | ||||||||
\(298\) | −20.2910 | −0.0680905 | ||||||||
\(299\) | −181.072 | + | 181.072i | −0.605593 | + | 0.605593i | ||||
\(300\) | −24.7530 | + | 24.7530i | −0.0825099 | + | 0.0825099i | ||||
\(301\) | 838.013 | 2.78410 | ||||||||
\(302\) | 14.0174 | 0.0464154 | ||||||||
\(303\) | 45.2997 | − | 45.2997i | 0.149504 | − | 0.149504i | ||||
\(304\) | 505.447i | 1.66265i | ||||||||
\(305\) | −39.1225 | + | 39.1225i | −0.128271 | + | 0.128271i | ||||
\(306\) | − | 9.51260i | − | 0.0310869i | ||||||
\(307\) | 303.855 | + | 303.855i | 0.989754 | + | 0.989754i | 0.999948 | − | 0.0101938i | \(-0.00324484\pi\) |
−0.0101938 | + | 0.999948i | \(0.503245\pi\) | |||||||
\(308\) | 169.394 | − | 169.394i | 0.549982 | − | 0.549982i | ||||
\(309\) | − | 294.288i | − | 0.952389i | ||||||
\(310\) | 8.74375 | + | 8.74375i | 0.0282056 | + | 0.0282056i | ||||
\(311\) | 158.554 | 0.509821 | 0.254911 | − | 0.966965i | \(-0.417954\pi\) | ||||
0.254911 | + | 0.966965i | \(0.417954\pi\) | |||||||
\(312\) | −15.4622 | + | 15.4622i | −0.0495584 | + | 0.0495584i | ||||
\(313\) | − | 84.0443i | − | 0.268512i | −0.990947 | − | 0.134256i | \(-0.957136\pi\) | ||
0.990947 | − | 0.134256i | \(-0.0428645\pi\) | |||||||
\(314\) | −6.36669 | − | 6.36669i | −0.0202761 | − | 0.0202761i | ||||
\(315\) | −139.550 | + | 139.550i | −0.443016 | + | 0.443016i | ||||
\(316\) | 177.897 | − | 177.897i | 0.562966 | − | 0.562966i | ||||
\(317\) | −255.281 | + | 255.281i | −0.805303 | + | 0.805303i | −0.983919 | − | 0.178616i | \(-0.942838\pi\) |
0.178616 | + | 0.983919i | \(0.442838\pi\) | |||||||
\(318\) | − | 4.88960i | − | 0.0153761i | ||||||
\(319\) | −124.864 | + | 124.864i | −0.391423 | + | 0.391423i | ||||
\(320\) | −205.367 | − | 205.367i | −0.641771 | − | 0.641771i | ||||
\(321\) | 320.357 | + | 320.357i | 0.997996 | + | 0.997996i | ||||
\(322\) | 12.4405 | + | 12.4405i | 0.0386352 | + | 0.0386352i | ||||
\(323\) | 606.894 | − | 606.894i | 1.87893 | − | 1.87893i | ||||
\(324\) | 116.504i | 0.359581i | ||||||||
\(325\) | 38.3485 | + | 38.3485i | 0.117995 | + | 0.117995i | ||||
\(326\) | 15.3408 | + | 15.3408i | 0.0470576 | + | 0.0470576i | ||||
\(327\) | 36.6458 | + | 36.6458i | 0.112067 | + | 0.112067i | ||||
\(328\) | 2.60015 | − | 2.60015i | 0.00792729 | − | 0.00792729i | ||||
\(329\) | 45.3424 | 0.137819 | ||||||||
\(330\) | −5.05368 | −0.0153142 | ||||||||
\(331\) | 322.111i | 0.973144i | 0.873640 | + | 0.486572i | \(0.161753\pi\) | ||||
−0.873640 | + | 0.486572i | \(0.838247\pi\) | |||||||
\(332\) | 514.841 | 1.55073 | ||||||||
\(333\) | − | 154.728i | − | 0.464648i | ||||||
\(334\) | 5.79666i | 0.0173553i | ||||||||
\(335\) | 19.1918i | 0.0572889i | ||||||||
\(336\) | −271.272 | − | 271.272i | −0.807356 | − | 0.807356i | ||||
\(337\) | −117.987 | + | 117.987i | −0.350109 | + | 0.350109i | −0.860150 | − | 0.510041i | \(-0.829630\pi\) |
0.510041 | + | 0.860150i | \(0.329630\pi\) | |||||||
\(338\) | 1.41570 | + | 1.41570i | 0.00418846 | + | 0.00418846i | ||||
\(339\) | 316.777 | 0.934446 | ||||||||
\(340\) | 495.114i | 1.45622i | ||||||||
\(341\) | 169.893i | 0.498221i | ||||||||
\(342\) | −7.91327 | + | 7.91327i | −0.0231382 | + | 0.0231382i | ||||
\(343\) | − | 194.876i | − | 0.568153i | ||||||
\(344\) | −38.8054 | + | 38.8054i | −0.112806 | + | 0.112806i | ||||
\(345\) | 190.106i | 0.551033i | ||||||||
\(346\) | 17.7849 | + | 17.7849i | 0.0514013 | + | 0.0514013i | ||||
\(347\) | −606.002 | −1.74640 | −0.873201 | − | 0.487360i | \(-0.837960\pi\) | ||||
−0.873201 | + | 0.487360i | \(0.837960\pi\) | |||||||
\(348\) | 200.351 | + | 200.351i | 0.575723 | + | 0.575723i | ||||
\(349\) | −66.9633 | + | 66.9633i | −0.191872 | + | 0.191872i | −0.796505 | − | 0.604633i | \(-0.793320\pi\) |
0.604633 | + | 0.796505i | \(0.293320\pi\) | |||||||
\(350\) | 2.63473 | − | 2.63473i | 0.00752780 | − | 0.00752780i | ||||
\(351\) | 402.552 | 1.14687 | ||||||||
\(352\) | 23.5398i | 0.0668745i | ||||||||
\(353\) | −56.6785 | −0.160562 | −0.0802812 | − | 0.996772i | \(-0.525582\pi\) | ||||
−0.0802812 | + | 0.996772i | \(0.525582\pi\) | |||||||
\(354\) | − | 6.76072i | − | 0.0190981i | ||||||
\(355\) | −283.823 | −0.799503 | ||||||||
\(356\) | −88.4122 | + | 88.4122i | −0.248349 | + | 0.248349i | ||||
\(357\) | 651.436i | 1.82475i | ||||||||
\(358\) | 19.4125i | 0.0542247i | ||||||||
\(359\) | −396.230 | + | 396.230i | −1.10371 | + | 1.10371i | −0.109745 | + | 0.993960i | \(0.535004\pi\) |
−0.993960 | + | 0.109745i | \(0.964996\pi\) | |||||||
\(360\) | − | 12.9241i | − | 0.0359004i | ||||||
\(361\) | −648.717 | −1.79700 | ||||||||
\(362\) | −7.17206 | − | 7.17206i | −0.0198123 | − | 0.0198123i | ||||
\(363\) | 142.427 | + | 142.427i | 0.392360 | + | 0.392360i | ||||
\(364\) | −421.091 | + | 421.091i | −1.15684 | + | 1.15684i | ||||
\(365\) | 240.841i | 0.659838i | ||||||||
\(366\) | − | 2.38129i | − | 0.00650625i | ||||||
\(367\) | 110.641 | − | 110.641i | 0.301474 | − | 0.301474i | −0.540117 | − | 0.841590i | \(-0.681620\pi\) |
0.841590 | + | 0.540117i | \(0.181620\pi\) | |||||||
\(368\) | 294.209 | 0.799481 | ||||||||
\(369\) | −20.7900 | −0.0563415 | ||||||||
\(370\) | − | 15.7226i | − | 0.0424936i | ||||||
\(371\) | − | 266.582i | − | 0.718551i | ||||||
\(372\) | 272.604 | 0.732806 | ||||||||
\(373\) | 269.116 | − | 269.116i | 0.721490 | − | 0.721490i | −0.247419 | − | 0.968909i | \(-0.579582\pi\) |
0.968909 | + | 0.247419i | \(0.0795824\pi\) | |||||||
\(374\) | 9.39083 | − | 9.39083i | 0.0251092 | − | 0.0251092i | ||||
\(375\) | 297.216 | 0.792577 | ||||||||
\(376\) | −2.09965 | + | 2.09965i | −0.00558416 | + | 0.00558416i | ||||
\(377\) | 310.394 | − | 310.394i | 0.823327 | − | 0.823327i | ||||
\(378\) | − | 27.6573i | − | 0.0731674i | ||||||
\(379\) | −509.824 | −1.34518 | −0.672592 | − | 0.740014i | \(-0.734819\pi\) | ||||
−0.672592 | + | 0.740014i | \(0.734819\pi\) | |||||||
\(380\) | 411.871 | − | 411.871i | 1.08387 | − | 1.08387i | ||||
\(381\) | 208.090 | + | 208.090i | 0.546167 | + | 0.546167i | ||||
\(382\) | −9.49304 | + | 9.49304i | −0.0248509 | + | 0.0248509i | ||||
\(383\) | −10.9212 | − | 10.9212i | −0.0285148 | − | 0.0285148i | 0.692706 | − | 0.721220i | \(-0.256419\pi\) |
−0.721220 | + | 0.692706i | \(0.756419\pi\) | |||||||
\(384\) | 50.3449 | 0.131107 | ||||||||
\(385\) | −275.528 | −0.715656 | ||||||||
\(386\) | 18.2713 | − | 18.2713i | 0.0473349 | − | 0.0473349i | ||||
\(387\) | 310.276 | 0.801747 | ||||||||
\(388\) | 516.863 | 1.33212 | ||||||||
\(389\) | 458.741 | + | 458.741i | 1.17928 | + | 1.17928i | 0.979927 | + | 0.199356i | \(0.0638851\pi\) |
0.199356 | + | 0.979927i | \(0.436115\pi\) | |||||||
\(390\) | 12.5627 | 0.0322121 | ||||||||
\(391\) | −353.259 | − | 353.259i | −0.903477 | − | 0.903477i | ||||
\(392\) | 33.4713 | + | 33.4713i | 0.0853859 | + | 0.0853859i | ||||
\(393\) | 114.219i | 0.290634i | ||||||||
\(394\) | 13.0181 | − | 11.5329i | 0.0330409 | − | 0.0292714i | ||||
\(395\) | −289.358 | −0.732552 | ||||||||
\(396\) | 62.7186 | − | 62.7186i | 0.158380 | − | 0.158380i | ||||
\(397\) | 187.230 | − | 187.230i | 0.471612 | − | 0.471612i | −0.430824 | − | 0.902436i | \(-0.641777\pi\) |
0.902436 | + | 0.430824i | \(0.141777\pi\) | |||||||
\(398\) | 0.0226339i | 5.68692e-5i | ||||||||
\(399\) | 541.912 | − | 541.912i | 1.35818 | − | 1.35818i | ||||
\(400\) | − | 62.3093i | − | 0.155773i | ||||||
\(401\) | − | 38.3304i | − | 0.0955869i | −0.998857 | − | 0.0477935i | \(-0.984781\pi\) | ||
0.998857 | − | 0.0477935i | \(-0.0152189\pi\) | |||||||
\(402\) | −0.584077 | − | 0.584077i | −0.00145293 | − | 0.00145293i | ||||
\(403\) | − | 422.331i | − | 1.04797i | ||||||
\(404\) | 114.254i | 0.282807i | ||||||||
\(405\) | 94.7497 | − | 94.7497i | 0.233950 | − | 0.233950i | ||||
\(406\) | −21.3256 | − | 21.3256i | −0.0525261 | − | 0.0525261i | ||||
\(407\) | 152.747 | − | 152.747i | 0.375301 | − | 0.375301i | ||||
\(408\) | −30.1657 | − | 30.1657i | −0.0739356 | − | 0.0739356i | ||||
\(409\) | 451.916i | 1.10493i | 0.833536 | + | 0.552465i | \(0.186313\pi\) | ||||
−0.833536 | + | 0.552465i | \(0.813687\pi\) | |||||||
\(410\) | −2.11257 | −0.00515261 | ||||||||
\(411\) | −341.807 | − | 341.807i | −0.831648 | − | 0.831648i | ||||
\(412\) | 371.123 | + | 371.123i | 0.900785 | + | 0.900785i | ||||
\(413\) | − | 368.596i | − | 0.892485i | ||||||
\(414\) | 4.60614 | + | 4.60614i | 0.0111259 | + | 0.0111259i | ||||
\(415\) | −418.706 | − | 418.706i | −1.00893 | − | 1.00893i | ||||
\(416\) | − | 58.5167i | − | 0.140665i | ||||||
\(417\) | 193.625 | 0.464328 | ||||||||
\(418\) | −15.6240 | −0.0373779 | ||||||||
\(419\) | − | 103.151i | − | 0.246183i | −0.992395 | − | 0.123091i | \(-0.960719\pi\) | ||
0.992395 | − | 0.123091i | \(-0.0392808\pi\) | |||||||
\(420\) | 442.100i | 1.05262i | ||||||||
\(421\) | −190.693 | − | 190.693i | −0.452953 | − | 0.452953i | 0.443380 | − | 0.896334i | \(-0.353779\pi\) |
−0.896334 | + | 0.443380i | \(0.853779\pi\) | |||||||
\(422\) | 16.7571 | 0.0397088 | ||||||||
\(423\) | 16.7881 | 0.0396882 | ||||||||
\(424\) | 12.3445 | + | 12.3445i | 0.0291144 | + | 0.0291144i | ||||
\(425\) | −74.8153 | + | 74.8153i | −0.176036 | + | 0.176036i | ||||
\(426\) | 8.63780 | − | 8.63780i | 0.0202765 | − | 0.0202765i | ||||
\(427\) | − | 129.828i | − | 0.304048i | ||||||
\(428\) | −807.997 | −1.88784 | ||||||||
\(429\) | 122.049 | + | 122.049i | 0.284495 | + | 0.284495i | ||||
\(430\) | 31.5286 | 0.0733223 | ||||||||
\(431\) | −292.192 | −0.677940 | −0.338970 | − | 0.940797i | \(-0.610078\pi\) | ||||
−0.338970 | + | 0.940797i | \(0.610078\pi\) | |||||||
\(432\) | −327.036 | − | 327.036i | −0.757029 | − | 0.757029i | ||||
\(433\) | 217.605i | 0.502553i | 0.967915 | + | 0.251276i | \(0.0808503\pi\) | ||||
−0.967915 | + | 0.251276i | \(0.919150\pi\) | |||||||
\(434\) | −29.0162 | −0.0668576 | ||||||||
\(435\) | − | 325.881i | − | 0.749151i | ||||||
\(436\) | −92.4274 | −0.211989 | ||||||||
\(437\) | 587.733i | 1.34493i | ||||||||
\(438\) | −7.32968 | − | 7.32968i | −0.0167344 | − | 0.0167344i | ||||
\(439\) | −74.6551 | − | 74.6551i | −0.170057 | − | 0.170057i | 0.616947 | − | 0.787004i | \(-0.288369\pi\) |
−0.787004 | + | 0.616947i | \(0.788369\pi\) | |||||||
\(440\) | 12.7587 | − | 12.7587i | 0.0289971 | − | 0.0289971i | ||||
\(441\) | − | 267.626i | − | 0.606861i | ||||||
\(442\) | −23.3443 | + | 23.3443i | −0.0528152 | + | 0.0528152i | ||||
\(443\) | 0.441477 | 0.000996562 | 0.000498281 | − | 1.00000i | \(-0.499841\pi\) | ||||
0.000498281 | 1.00000i | \(0.499841\pi\) | ||||||||
\(444\) | −245.092 | − | 245.092i | −0.552009 | − | 0.552009i | ||||
\(445\) | 143.806 | 0.323160 | ||||||||
\(446\) | −0.262376 | − | 0.262376i | −0.000588286 | − | 0.000588286i | ||||
\(447\) | 514.485 | 1.15097 | ||||||||
\(448\) | 681.511 | 1.52123 | ||||||||
\(449\) | 766.648i | 1.70746i | 0.520720 | + | 0.853728i | \(0.325664\pi\) | ||||
−0.520720 | + | 0.853728i | \(0.674336\pi\) | |||||||
\(450\) | 0.975514 | − | 0.975514i | 0.00216781 | − | 0.00216781i | ||||
\(451\) | −20.5239 | − | 20.5239i | −0.0455075 | − | 0.0455075i | ||||
\(452\) | −399.484 | + | 399.484i | −0.883815 | + | 0.883815i | ||||
\(453\) | −355.418 | −0.784587 | ||||||||
\(454\) | −32.3615 | −0.0712809 | ||||||||
\(455\) | 684.923 | 1.50533 | ||||||||
\(456\) | 50.1881i | 0.110062i | ||||||||
\(457\) | −534.249 | −1.16904 | −0.584518 | − | 0.811381i | \(-0.698716\pi\) | ||||
−0.584518 | + | 0.811381i | \(0.698716\pi\) | |||||||
\(458\) | 25.9335i | 0.0566234i | ||||||||
\(459\) | 785.351i | 1.71100i | ||||||||
\(460\) | −239.741 | − | 239.741i | −0.521176 | − | 0.521176i | ||||
\(461\) | 273.447 | − | 273.447i | 0.593160 | − | 0.593160i | −0.345324 | − | 0.938484i | \(-0.612231\pi\) |
0.938484 | + | 0.345324i | \(0.112231\pi\) | |||||||
\(462\) | 8.38533 | − | 8.38533i | 0.0181501 | − | 0.0181501i | ||||
\(463\) | 265.533 | − | 265.533i | 0.573505 | − | 0.573505i | −0.359601 | − | 0.933106i | \(-0.617087\pi\) |
0.933106 | + | 0.359601i | \(0.117087\pi\) | |||||||
\(464\) | −504.334 | −1.08693 | ||||||||
\(465\) | −221.701 | − | 221.701i | −0.476777 | − | 0.476777i | ||||
\(466\) | 12.2049 | − | 12.2049i | 0.0261907 | − | 0.0261907i | ||||
\(467\) | 253.123 | − | 253.123i | 0.542019 | − | 0.542019i | −0.382101 | − | 0.924120i | \(-0.624799\pi\) |
0.924120 | + | 0.382101i | \(0.124799\pi\) | |||||||
\(468\) | −155.910 | + | 155.910i | −0.333141 | + | 0.333141i | ||||
\(469\) | −31.8440 | − | 31.8440i | −0.0678977 | − | 0.0678977i | ||||
\(470\) | 1.70592 | 0.00362961 | ||||||||
\(471\) | 161.430 | + | 161.430i | 0.342739 | + | 0.342739i | ||||
\(472\) | 17.0684 | + | 17.0684i | 0.0361618 | + | 0.0361618i | ||||
\(473\) | 306.304 | + | 306.304i | 0.647578 | + | 0.647578i | ||||
\(474\) | 8.80624 | − | 8.80624i | 0.0185786 | − | 0.0185786i | ||||
\(475\) | 124.474 | 0.262050 | ||||||||
\(476\) | −821.519 | − | 821.519i | −1.72588 | − | 1.72588i | ||||
\(477\) | − | 98.7027i | − | 0.206924i | ||||||
\(478\) | 12.2471 | − | 12.2471i | 0.0256215 | − | 0.0256215i | ||||
\(479\) | −781.396 | −1.63131 | −0.815654 | − | 0.578540i | \(-0.803622\pi\) | ||||
−0.815654 | + | 0.578540i | \(0.803622\pi\) | |||||||
\(480\) | −30.7181 | − | 30.7181i | −0.0639961 | − | 0.0639961i | ||||
\(481\) | −379.709 | + | 379.709i | −0.789415 | + | 0.789415i | ||||
\(482\) | 2.80105 | 0.00581131 | ||||||||
\(483\) | −315.435 | − | 315.435i | −0.653074 | − | 0.653074i | ||||
\(484\) | −359.225 | −0.742201 | ||||||||
\(485\) | −420.351 | − | 420.351i | −0.866702 | − | 0.866702i | ||||
\(486\) | − | 17.3354i | − | 0.0356695i | ||||||
\(487\) | 273.012i | 0.560600i | 0.959913 | + | 0.280300i | \(0.0904339\pi\) | ||||
−0.959913 | + | 0.280300i | \(0.909566\pi\) | |||||||
\(488\) | 6.01190 | + | 6.01190i | 0.0123195 | + | 0.0123195i | ||||
\(489\) | −388.971 | − | 388.971i | −0.795442 | − | 0.795442i | ||||
\(490\) | − | 27.1947i | − | 0.0554994i | ||||||
\(491\) | 591.880i | 1.20546i | 0.797946 | + | 0.602729i | \(0.205920\pi\) | ||||
−0.797946 | + | 0.602729i | \(0.794080\pi\) | |||||||
\(492\) | −32.9318 | + | 32.9318i | −0.0669345 | + | 0.0669345i | ||||
\(493\) | 605.558 | + | 605.558i | 1.22831 | + | 1.22831i | ||||
\(494\) | 38.8390 | 0.0786214 | ||||||||
\(495\) | −102.015 | −0.206090 | ||||||||
\(496\) | −343.105 | + | 343.105i | −0.691744 | + | 0.691744i | ||||
\(497\) | 470.935 | − | 470.935i | 0.947556 | − | 0.947556i | ||||
\(498\) | 25.4856 | 0.0511758 | ||||||||
\(499\) | 380.370 | 0.762264 | 0.381132 | − | 0.924521i | \(-0.375534\pi\) | ||||
0.381132 | + | 0.924521i | \(0.375534\pi\) | |||||||
\(500\) | −374.816 | + | 374.816i | −0.749632 | + | 0.749632i | ||||
\(501\) | − | 146.976i | − | 0.293366i | ||||||
\(502\) | 19.9117 | − | 19.9117i | 0.0396648 | − | 0.0396648i | ||||
\(503\) | − | 240.775i | − | 0.478678i | −0.970936 | − | 0.239339i | \(-0.923069\pi\) | ||
0.970936 | − | 0.239339i | \(-0.0769308\pi\) | |||||||
\(504\) | 21.4444 | + | 21.4444i | 0.0425485 | + | 0.0425485i | ||||
\(505\) | 92.9195 | − | 92.9195i | 0.183999 | − | 0.183999i | ||||
\(506\) | 9.09435i | 0.0179730i | ||||||||
\(507\) | −35.8956 | − | 35.8956i | −0.0708000 | − | 0.0708000i | ||||
\(508\) | −524.839 | −1.03315 | ||||||||
\(509\) | 1.12121 | − | 1.12121i | 0.00220277 | − | 0.00220277i | −0.706005 | − | 0.708207i | \(-0.749504\pi\) |
0.708207 | + | 0.706005i | \(0.249504\pi\) | |||||||
\(510\) | 24.5090i | 0.0480569i | ||||||||
\(511\) | −399.616 | − | 399.616i | −0.782027 | − | 0.782027i | ||||
\(512\) | −79.2840 | + | 79.2840i | −0.154852 | + | 0.154852i | ||||
\(513\) | 653.312 | − | 653.312i | 1.27351 | − | 1.27351i | ||||
\(514\) | −14.6465 | + | 14.6465i | −0.0284952 | + | 0.0284952i | ||||
\(515\) | − | 603.649i | − | 1.17213i | ||||||
\(516\) | 491.483 | − | 491.483i | 0.952487 | − | 0.952487i | ||||
\(517\) | 16.5732 | + | 16.5732i | 0.0320565 | + | 0.0320565i | ||||
\(518\) | 26.0878 | + | 26.0878i | 0.0503626 | + | 0.0503626i | ||||
\(519\) | −450.942 | − | 450.942i | −0.868867 | − | 0.868867i | ||||
\(520\) | −31.7164 | + | 31.7164i | −0.0609930 | + | 0.0609930i | ||||
\(521\) | − | 540.852i | − | 1.03810i | −0.854743 | − | 0.519051i | \(-0.826285\pi\) | ||
0.854743 | − | 0.519051i | \(-0.173715\pi\) | |||||||
\(522\) | −7.89585 | − | 7.89585i | −0.0151261 | − | 0.0151261i | ||||
\(523\) | −99.9221 | − | 99.9221i | −0.191056 | − | 0.191056i | 0.605096 | − | 0.796152i | \(-0.293135\pi\) |
−0.796152 | + | 0.605096i | \(0.793135\pi\) | |||||||
\(524\) | −144.041 | − | 144.041i | −0.274887 | − | 0.274887i | ||||
\(525\) | −66.8046 | + | 66.8046i | −0.127247 | + | 0.127247i | ||||
\(526\) | −28.5584 | −0.0542936 | ||||||||
\(527\) | 823.938 | 1.56345 | ||||||||
\(528\) | − | 198.307i | − | 0.375581i | ||||||
\(529\) | −186.894 | −0.353296 | ||||||||
\(530\) | − | 10.0296i | − | 0.0189239i | ||||||
\(531\) | − | 136.474i | − | 0.257012i | ||||||
\(532\) | 1366.80i | 2.56917i | ||||||||
\(533\) | 51.0195 | + | 51.0195i | 0.0957214 | + | 0.0957214i | ||||
\(534\) | −4.37656 | + | 4.37656i | −0.00819581 | + | 0.00819581i | ||||
\(535\) | 657.122 | + | 657.122i | 1.22826 | + | 1.22826i | ||||
\(536\) | 2.94917 | 0.00550218 | ||||||||
\(537\) | − | 492.210i | − | 0.916593i | ||||||
\(538\) | − | 5.40003i | − | 0.0100372i | ||||||
\(539\) | 264.200 | − | 264.200i | 0.490167 | − | 0.490167i | ||||
\(540\) | 532.982i | 0.987004i | ||||||||
\(541\) | −9.73596 | + | 9.73596i | −0.0179962 | + | 0.0179962i | −0.716048 | − | 0.698051i | \(-0.754051\pi\) |
0.698051 | + | 0.716048i | \(0.254051\pi\) | |||||||
\(542\) | − | 11.9879i | − | 0.0221178i | ||||||
\(543\) | 181.850 | + | 181.850i | 0.334899 | + | 0.334899i | ||||
\(544\) | 114.162 | 0.209857 | ||||||||
\(545\) | 75.1686 | + | 75.1686i | 0.137924 | + | 0.137924i | ||||
\(546\) | −20.8448 | + | 20.8448i | −0.0381772 | + | 0.0381772i | ||||
\(547\) | −537.310 | + | 537.310i | −0.982285 | + | 0.982285i | −0.999846 | − | 0.0175605i | \(-0.994410\pi\) |
0.0175605 | + | 0.999846i | \(0.494410\pi\) | |||||||
\(548\) | 862.099 | 1.57317 | ||||||||
\(549\) | − | 48.0692i | − | 0.0875578i | ||||||
\(550\) | 1.92605 | 0.00350192 | ||||||||
\(551\) | − | 1007.49i | − | 1.82848i | ||||||
\(552\) | 29.2133 | 0.0529227 | ||||||||
\(553\) | 480.119 | − | 480.119i | 0.868207 | − | 0.868207i | ||||
\(554\) | 39.3730i | 0.0710704i | ||||||||
\(555\) | 398.653i | 0.718294i | ||||||||
\(556\) | −244.178 | + | 244.178i | −0.439169 | + | 0.439169i | ||||
\(557\) | − | 430.206i | − | 0.772362i | −0.922423 | − | 0.386181i | \(-0.873794\pi\) | ||
0.922423 | − | 0.386181i | \(-0.126206\pi\) | |||||||
\(558\) | −10.7433 | −0.0192532 | ||||||||
\(559\) | −761.430 | − | 761.430i | −1.36213 | − | 1.36213i | ||||
\(560\) | −556.437 | − | 556.437i | −0.993638 | − | 0.993638i | ||||
\(561\) | −238.108 | + | 238.108i | −0.424435 | + | 0.424435i | ||||
\(562\) | − | 14.4418i | − | 0.0256971i | ||||||
\(563\) | 629.872i | 1.11878i | 0.828905 | + | 0.559389i | \(0.188964\pi\) | ||||
−0.828905 | + | 0.559389i | \(0.811036\pi\) | |||||||
\(564\) | 26.5927 | − | 26.5927i | 0.0471502 | − | 0.0471502i | ||||
\(565\) | 649.779 | 1.15005 | ||||||||
\(566\) | 29.0146 | 0.0512625 | ||||||||
\(567\) | 314.428i | 0.554546i | ||||||||
\(568\) | 43.6147i | 0.0767864i | ||||||||
\(569\) | −229.758 | −0.403793 | −0.201897 | − | 0.979407i | \(-0.564711\pi\) | ||||
−0.201897 | + | 0.979407i | \(0.564711\pi\) | |||||||
\(570\) | 20.3884 | − | 20.3884i | 0.0357691 | − | 0.0357691i | ||||
\(571\) | −708.422 | + | 708.422i | −1.24067 | + | 1.24067i | −0.280946 | + | 0.959723i | \(0.590648\pi\) |
−0.959723 | + | 0.280946i | \(0.909352\pi\) | |||||||
\(572\) | −307.828 | −0.538161 | ||||||||
\(573\) | 240.700 | − | 240.700i | 0.420069 | − | 0.420069i | ||||
\(574\) | 3.50529 | − | 3.50529i | 0.00610678 | − | 0.00610678i | ||||
\(575\) | − | 72.4533i | − | 0.126006i | ||||||
\(576\) | 252.331 | 0.438074 | ||||||||
\(577\) | −26.0769 | + | 26.0769i | −0.0451939 | + | 0.0451939i | −0.729343 | − | 0.684149i | \(-0.760174\pi\) |
0.684149 | + | 0.729343i | \(0.260174\pi\) | |||||||
\(578\) | −27.5020 | − | 27.5020i | −0.0475812 | − | 0.0475812i | ||||
\(579\) | −463.276 | + | 463.276i | −0.800131 | + | 0.800131i | ||||
\(580\) | 410.965 | + | 410.965i | 0.708560 | + | 0.708560i | ||||
\(581\) | 1389.48 | 2.39153 | ||||||||
\(582\) | 25.5857 | 0.0439616 | ||||||||
\(583\) | 97.4393 | − | 97.4393i | 0.167134 | − | 0.167134i | ||||
\(584\) | 37.0096 | 0.0633726 | ||||||||
\(585\) | 253.594 | 0.433494 | ||||||||
\(586\) | −9.05273 | − | 9.05273i | −0.0154483 | − | 0.0154483i | ||||
\(587\) | −605.591 | −1.03167 | −0.515836 | − | 0.856688i | \(-0.672518\pi\) | ||||
−0.515836 | + | 0.856688i | \(0.672518\pi\) | |||||||
\(588\) | −423.925 | − | 423.925i | −0.720960 | − | 0.720960i | ||||
\(589\) | −685.412 | − | 685.412i | −1.16369 | − | 1.16369i | ||||
\(590\) | − | 13.8677i | − | 0.0235046i | ||||||
\(591\) | −330.079 | + | 292.422i | −0.558510 | + | 0.494791i | ||||
\(592\) | 616.957 | 1.04216 | ||||||||
\(593\) | 149.638 | − | 149.638i | 0.252340 | − | 0.252340i | −0.569589 | − | 0.821930i | \(-0.692898\pi\) |
0.821930 | + | 0.569589i | \(0.192898\pi\) | |||||||
\(594\) | 10.1091 | − | 10.1091i | 0.0170187 | − | 0.0170187i | ||||
\(595\) | 1336.24i | 2.24578i | ||||||||
\(596\) | −648.812 | + | 648.812i | −1.08861 | + | 1.08861i | ||||
\(597\) | − | 0.573892i | − | 0.000961294i | ||||||
\(598\) | − | 22.6073i | − | 0.0378048i | ||||||
\(599\) | 84.5357 | + | 84.5357i | 0.141128 | + | 0.141128i | 0.774141 | − | 0.633013i | \(-0.218182\pi\) |
−0.633013 | + | 0.774141i | \(0.718182\pi\) | |||||||
\(600\) | − | 6.18697i | − | 0.0103116i | ||||||
\(601\) | 393.271i | 0.654362i | 0.944962 | + | 0.327181i | \(0.106099\pi\) | ||||
−0.944962 | + | 0.327181i | \(0.893901\pi\) | |||||||
\(602\) | −52.3139 | + | 52.3139i | −0.0869002 | + | 0.0869002i | ||||
\(603\) | −11.7903 | − | 11.7903i | −0.0195528 | − | 0.0195528i | ||||
\(604\) | 448.214 | − | 448.214i | 0.742075 | − | 0.742075i | ||||
\(605\) | 292.148 | + | 292.148i | 0.482889 | + | 0.482889i | ||||
\(606\) | 5.65577i | 0.00933296i | ||||||||
\(607\) | −706.714 | −1.16427 | −0.582136 | − | 0.813091i | \(-0.697783\pi\) | ||||
−0.582136 | + | 0.813091i | \(0.697783\pi\) | |||||||
\(608\) | −94.9683 | − | 94.9683i | −0.156198 | − | 0.156198i | ||||
\(609\) | 540.719 | + | 540.719i | 0.887880 | + | 0.887880i | ||||
\(610\) | − | 4.88454i | − | 0.00800745i | ||||||
\(611\) | −41.1987 | − | 41.1987i | −0.0674283 | − | 0.0674283i | ||||
\(612\) | −304.169 | − | 304.169i | −0.497008 | − | 0.497008i | ||||
\(613\) | − | 589.730i | − | 0.962038i | −0.876710 | − | 0.481019i | \(-0.840267\pi\) | ||
0.876710 | − | 0.481019i | \(-0.159733\pi\) | |||||||
\(614\) | −37.9370 | −0.0617866 | ||||||||
\(615\) | 53.5650 | 0.0870976 | ||||||||
\(616\) | 42.3399i | 0.0687336i | ||||||||
\(617\) | 307.544i | 0.498450i | 0.968446 | + | 0.249225i | \(0.0801758\pi\) | ||||
−0.968446 | + | 0.249225i | \(0.919824\pi\) | |||||||
\(618\) | 18.3713 | + | 18.3713i | 0.0297270 | + | 0.0297270i | ||||
\(619\) | 499.962 | 0.807693 | 0.403846 | − | 0.914827i | \(-0.367673\pi\) | ||||
0.403846 | + | 0.914827i | \(0.367673\pi\) | |||||||
\(620\) | 559.170 | 0.901887 | ||||||||
\(621\) | −380.278 | − | 380.278i | −0.612364 | − | 0.612364i | ||||
\(622\) | −9.89795 | + | 9.89795i | −0.0159131 | + | 0.0159131i | ||||
\(623\) | −238.611 | + | 238.611i | −0.383004 | + | 0.383004i | ||||
\(624\) | 492.962i | 0.790004i | ||||||||
\(625\) | 511.725 | 0.818760 | ||||||||
\(626\) | 5.24656 | + | 5.24656i | 0.00838109 | + | 0.00838109i | ||||
\(627\) | 396.151 | 0.631820 | ||||||||
\(628\) | −407.155 | −0.648336 | ||||||||
\(629\) | −740.785 | − | 740.785i | −1.17772 | − | 1.17772i | ||||
\(630\) | − | 17.4232i | − | 0.0276558i | ||||||
\(631\) | 655.032 | 1.03809 | 0.519043 | − | 0.854748i | \(-0.326289\pi\) | ||||
0.519043 | + | 0.854748i | \(0.326289\pi\) | |||||||
\(632\) | 44.4652i | 0.0703563i | ||||||||
\(633\) | −424.883 | −0.671222 | ||||||||
\(634\) | − | 31.8725i | − | 0.0502720i | ||||||
\(635\) | 426.837 | + | 426.837i | 0.672185 | + | 0.672185i | ||||
\(636\) | −156.347 | − | 156.347i | −0.245829 | − | 0.245829i | ||||
\(637\) | −656.764 | + | 656.764i | −1.03103 | + | 1.03103i | ||||
\(638\) | − | 15.5896i | − | 0.0244350i | ||||||
\(639\) | 174.365 | − | 174.365i | 0.272871 | − | 0.272871i | ||||
\(640\) | 103.268 | 0.161357 | ||||||||
\(641\) | 659.625 | + | 659.625i | 1.02906 | + | 1.02906i | 0.999565 | + | 0.0294910i | \(0.00938862\pi\) |
0.0294910 | + | 0.999565i | \(0.490611\pi\) | |||||||
\(642\) | −39.9973 | −0.0623011 | ||||||||
\(643\) | −140.974 | − | 140.974i | −0.219244 | − | 0.219244i | 0.588936 | − | 0.808180i | \(-0.299547\pi\) |
−0.808180 | + | 0.588936i | \(0.799547\pi\) | |||||||
\(644\) | 795.583 | 1.23538 | ||||||||
\(645\) | −799.420 | −1.23941 | ||||||||
\(646\) | 75.7721i | 0.117294i | ||||||||
\(647\) | 622.152 | − | 622.152i | 0.961596 | − | 0.961596i | −0.0376936 | − | 0.999289i | \(-0.512001\pi\) |
0.999289 | + | 0.0376936i | \(0.0120011\pi\) | |||||||
\(648\) | −14.5600 | − | 14.5600i | −0.0224692 | − | 0.0224692i | ||||
\(649\) | 134.727 | − | 134.727i | 0.207591 | − | 0.207591i | ||||
\(650\) | −4.78790 | −0.00736600 | ||||||||
\(651\) | 735.717 | 1.13013 | ||||||||
\(652\) | 981.055 | 1.50469 | ||||||||
\(653\) | − | 515.139i | − | 0.788880i | −0.918922 | − | 0.394440i | \(-0.870939\pi\) | ||
0.918922 | − | 0.394440i | \(-0.129061\pi\) | |||||||
\(654\) | −4.57532 | −0.00699590 | ||||||||
\(655\) | 234.288i | 0.357692i | ||||||||
\(656\) | − | 82.8973i | − | 0.126368i | ||||||
\(657\) | −147.959 | − | 147.959i | −0.225203 | − | 0.225203i | ||||
\(658\) | −2.83055 | + | 2.83055i | −0.00430175 | + | 0.00430175i | ||||
\(659\) | −696.628 | + | 696.628i | −1.05710 | + | 1.05710i | −0.0588305 | + | 0.998268i | \(0.518737\pi\) |
−0.998268 | + | 0.0588305i | \(0.981263\pi\) | |||||||
\(660\) | −161.593 | + | 161.593i | −0.244838 | + | 0.244838i | ||||
\(661\) | −582.787 | −0.881674 | −0.440837 | − | 0.897587i | \(-0.645318\pi\) | ||||
−0.440837 | + | 0.897587i | \(0.645318\pi\) | |||||||
\(662\) | −20.1082 | − | 20.1082i | −0.0303749 | − | 0.0303749i | ||||
\(663\) | 591.904 | − | 591.904i | 0.892766 | − | 0.892766i | ||||
\(664\) | −64.3419 | + | 64.3419i | −0.0969004 | + | 0.0969004i | ||||
\(665\) | 1111.58 | − | 1111.58i | 1.67155 | − | 1.67155i | ||||
\(666\) | 9.65907 | + | 9.65907i | 0.0145031 | + | 0.0145031i | ||||
\(667\) | −586.439 | −0.879219 | ||||||||
\(668\) | 185.350 | + | 185.350i | 0.277471 | + | 0.277471i | ||||
\(669\) | 6.65264 | + | 6.65264i | 0.00994415 | + | 0.00994415i | ||||
\(670\) | −1.19807 | − | 1.19807i | −0.00178816 | − | 0.00178816i | ||||
\(671\) | 47.4539 | − | 47.4539i | 0.0707212 | − | 0.0707212i | ||||
\(672\) | 101.938 | 0.151694 | ||||||||
\(673\) | −714.473 | − | 714.473i | −1.06162 | − | 1.06162i | −0.997972 | − | 0.0636517i | \(-0.979725\pi\) |
−0.0636517 | − | 0.997972i | \(-0.520275\pi\) | |||||||
\(674\) | − | 14.7309i | − | 0.0218560i | ||||||
\(675\) | −80.5374 | + | 80.5374i | −0.119315 | + | 0.119315i | ||||
\(676\) | 90.5351 | 0.133928 | ||||||||
\(677\) | −765.767 | − | 765.767i | −1.13112 | − | 1.13112i | −0.989992 | − | 0.141127i | \(-0.954927\pi\) |
−0.141127 | − | 0.989992i | \(-0.545073\pi\) | |||||||
\(678\) | −19.7752 | + | 19.7752i | −0.0291670 | + | 0.0291670i | ||||
\(679\) | 1394.94 | 2.05440 | ||||||||
\(680\) | −61.8765 | − | 61.8765i | −0.0909948 | − | 0.0909948i | ||||
\(681\) | 820.539 | 1.20490 | ||||||||
\(682\) | −10.6058 | − | 10.6058i | −0.0155510 | − | 0.0155510i | ||||
\(683\) | 886.045i | 1.29728i | 0.761094 | + | 0.648642i | \(0.224663\pi\) | ||||
−0.761094 | + | 0.648642i | \(0.775337\pi\) | |||||||
\(684\) | 506.060i | 0.739854i | ||||||||
\(685\) | −701.121 | − | 701.121i | −1.02353 | − | 1.02353i | ||||
\(686\) | 12.1654 | + | 12.1654i | 0.0177338 | + | 0.0177338i | ||||
\(687\) | − | 657.554i | − | 0.957138i | ||||||
\(688\) | 1237.18i | 1.79823i | ||||||||
\(689\) | −242.220 | + | 242.220i | −0.351554 | + | 0.351554i | ||||
\(690\) | −11.8676 | − | 11.8676i | −0.0171995 | − | 0.0171995i | ||||
\(691\) | −862.012 | −1.24749 | −0.623743 | − | 0.781630i | \(-0.714389\pi\) | ||||
−0.623743 | + | 0.781630i | \(0.714389\pi\) | |||||||
\(692\) | 1137.36 | 1.64358 | ||||||||
\(693\) | 169.268 | − | 169.268i | 0.244254 | − | 0.244254i | ||||
\(694\) | 37.8304 | − | 37.8304i | 0.0545106 | − | 0.0545106i | ||||
\(695\) | 397.167 | 0.571463 | ||||||||
\(696\) | −50.0776 | −0.0719505 | ||||||||
\(697\) | −99.5355 | + | 99.5355i | −0.142806 | + | 0.142806i | ||||
\(698\) | − | 8.36053i | − | 0.0119778i | ||||||
\(699\) | −309.459 | + | 309.459i | −0.442717 | + | 0.442717i | ||||
\(700\) | − | 168.493i | − | 0.240704i | ||||||
\(701\) | 123.879 | + | 123.879i | 0.176717 | + | 0.176717i | 0.789923 | − | 0.613206i | \(-0.210120\pi\) |
−0.613206 | + | 0.789923i | \(0.710120\pi\) | |||||||
\(702\) | −25.1298 | + | 25.1298i | −0.0357974 | + | 0.0357974i | ||||
\(703\) | 1232.48i | 1.75317i | ||||||||
\(704\) | 249.101 | + | 249.101i | 0.353837 | + | 0.353837i | ||||
\(705\) | −43.2542 | −0.0613535 | ||||||||
\(706\) | 3.53822 | − | 3.53822i | 0.00501165 | − | 0.00501165i | ||||
\(707\) | 308.354i | 0.436144i | ||||||||
\(708\) | −216.177 | − | 216.177i | −0.305335 | − | 0.305335i | ||||
\(709\) | −237.619 | + | 237.619i | −0.335147 | + | 0.335147i | −0.854537 | − | 0.519390i | \(-0.826159\pi\) |
0.519390 | + | 0.854537i | \(0.326159\pi\) | |||||||
\(710\) | 17.7180 | − | 17.7180i | 0.0249550 | − | 0.0249550i | ||||
\(711\) | 177.765 | − | 177.765i | 0.250021 | − | 0.250021i | ||||
\(712\) | − | 22.0985i | − | 0.0310372i | ||||||
\(713\) | −398.963 | + | 398.963i | −0.559555 | + | 0.559555i | ||||
\(714\) | −40.6667 | − | 40.6667i | −0.0569561 | − | 0.0569561i | ||||
\(715\) | 250.348 | + | 250.348i | 0.350137 | + | 0.350137i | ||||
\(716\) | 620.721 | + | 620.721i | 0.866929 | + | 0.866929i | ||||
\(717\) | −310.529 | + | 310.529i | −0.433095 | + | 0.433095i | ||||
\(718\) | − | 49.4703i | − | 0.0689001i | ||||||
\(719\) | 475.093 | + | 475.093i | 0.660769 | + | 0.660769i | 0.955561 | − | 0.294793i | \(-0.0952505\pi\) |
−0.294793 | + | 0.955561i | \(0.595251\pi\) | |||||||
\(720\) | −206.022 | − | 206.022i | −0.286142 | − | 0.286142i | ||||
\(721\) | 1001.61 | + | 1001.61i | 1.38919 | + | 1.38919i | ||||
\(722\) | 40.4969 | − | 40.4969i | 0.0560899 | − | 0.0560899i | ||||
\(723\) | −71.0217 | −0.0982320 | ||||||||
\(724\) | −458.659 | −0.633507 | ||||||||
\(725\) | 124.199i | 0.171310i | ||||||||
\(726\) | −17.7823 | −0.0244935 | ||||||||
\(727\) | − | 158.825i | − | 0.218466i | −0.994016 | − | 0.109233i | \(-0.965161\pi\) | ||
0.994016 | − | 0.109233i | \(-0.0348394\pi\) | |||||||
\(728\) | − | 105.251i | − | 0.144576i | ||||||
\(729\) | 702.192i | 0.963226i | ||||||||
\(730\) | −15.0348 | − | 15.0348i | −0.0205956 | − | 0.0205956i | ||||
\(731\) | 1485.50 | − | 1485.50i | 2.03214 | − | 2.03214i | ||||
\(732\) | −76.1427 | − | 76.1427i | −0.104020 | − | 0.104020i | ||||
\(733\) | 464.653 | 0.633905 | 0.316953 | − | 0.948441i | \(-0.397340\pi\) | ||||
0.316953 | + | 0.948441i | \(0.397340\pi\) | |||||||
\(734\) | 13.8138i | 0.0188199i | ||||||||
\(735\) | 689.532i | 0.938139i | ||||||||
\(736\) | −55.2789 | + | 55.2789i | −0.0751072 | + | 0.0751072i | ||||
\(737\) | − | 23.2788i | − | 0.0315859i | ||||||
\(738\) | 1.29784 | − | 1.29784i | 0.00175859 | − | 0.00175859i | ||||
\(739\) | 882.725i | 1.19449i | 0.802061 | + | 0.597243i | \(0.203737\pi\) | ||||
−0.802061 | + | 0.597243i | \(0.796263\pi\) | |||||||
\(740\) | −502.738 | − | 502.738i | −0.679375 | − | 0.679375i | ||||
\(741\) | −984.777 | −1.32898 | ||||||||
\(742\) | 16.6417 | + | 16.6417i | 0.0224282 | + | 0.0224282i | ||||
\(743\) | 358.789 | − | 358.789i | 0.482892 | − | 0.482892i | −0.423162 | − | 0.906054i | \(-0.639080\pi\) |
0.906054 | + | 0.423162i | \(0.139080\pi\) | |||||||
\(744\) | −34.0685 | + | 34.0685i | −0.0457909 | + | 0.0457909i | ||||
\(745\) | 1055.32 | 1.41654 | ||||||||
\(746\) | 33.5997i | 0.0450398i | ||||||||
\(747\) | 514.457 | 0.688698 | ||||||||
\(748\) | − | 600.551i | − | 0.802876i | ||||||
\(749\) | −2180.66 | −2.91143 | ||||||||
\(750\) | −18.5541 | + | 18.5541i | −0.0247388 | + | 0.0247388i | ||||
\(751\) | 539.408i | 0.718253i | 0.933289 | + | 0.359126i | \(0.116925\pi\) | ||||
−0.933289 | + | 0.359126i | \(0.883075\pi\) | |||||||
\(752\) | 66.9403i | 0.0890164i | ||||||||
\(753\) | −504.869 | + | 504.869i | −0.670477 | + | 0.670477i | ||||
\(754\) | 38.7535i | 0.0513972i | ||||||||
\(755\) | −729.039 | −0.965615 | ||||||||
\(756\) | −884.352 | − | 884.352i | −1.16978 | − | 1.16978i | ||||
\(757\) | −813.271 | − | 813.271i | −1.07433 | − | 1.07433i | −0.997006 | − | 0.0773282i | \(-0.975361\pi\) |
−0.0773282 | − | 0.997006i | \(-0.524639\pi\) | |||||||
\(758\) | 31.8264 | − | 31.8264i | 0.0419873 | − | 0.0419873i | ||||
\(759\) | − | 230.591i | − | 0.303809i | ||||||
\(760\) | 102.947i | 0.135456i | ||||||||
\(761\) | 362.515 | − | 362.515i | 0.476367 | − | 0.476367i | −0.427601 | − | 0.903968i | \(-0.640641\pi\) |
0.903968 | + | 0.427601i | \(0.140641\pi\) | |||||||
\(762\) | −25.9805 | −0.0340951 | ||||||||
\(763\) | −249.448 | −0.326930 | ||||||||
\(764\) | 607.087i | 0.794617i | ||||||||
\(765\) | 494.745i | 0.646725i | ||||||||
\(766\) | 1.36353 | 0.00178007 | ||||||||
\(767\) | −334.912 | + | 334.912i | −0.436651 | + | 0.436651i | ||||
\(768\) | 397.335 | − | 397.335i | 0.517363 | − | 0.517363i | ||||
\(769\) | 256.078 | 0.333001 | 0.166501 | − | 0.986041i | \(-0.446753\pi\) | ||||
0.166501 | + | 0.986041i | \(0.446753\pi\) | |||||||
\(770\) | 17.2001 | − | 17.2001i | 0.0223378 | − | 0.0223378i | ||||
\(771\) | 371.368 | − | 371.368i | 0.481671 | − | 0.481671i | ||||
\(772\) | − | 1168.46i | − | 1.51355i | ||||||
\(773\) | 1257.80 | 1.62717 | 0.813584 | − | 0.581447i | \(-0.197513\pi\) | ||||
0.813584 | + | 0.581447i | \(0.197513\pi\) | |||||||
\(774\) | −19.3693 | + | 19.3693i | −0.0250250 | + | 0.0250250i | ||||