Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,3,Mod(269,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.269");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.j (of order \(6\), degree \(2\), not 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: | \(22.0709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.11 | ||
Character | \(\chi\) | \(=\) | 810.269 |
Dual form | 810.3.j.h.539.11 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 1.22474i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | − | 1.73205i | −0.250000 | − | 0.433013i | ||||
\(5\) | 3.56960 | + | 3.50113i | 0.713920 | + | 0.700227i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.315907 | − | 0.182389i | −0.0451295 | − | 0.0260556i | 0.477265 | − | 0.878759i | \(-0.341628\pi\) |
−0.522395 | + | 0.852704i | \(0.674961\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.81209 | − | 1.89618i | 0.681209 | − | 0.189618i | ||||
\(11\) | 8.32536 | + | 4.80665i | 0.756851 | + | 0.436968i | 0.828164 | − | 0.560486i | \(-0.189386\pi\) |
−0.0713128 | + | 0.997454i | \(0.522719\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.62954 | − | 3.82757i | 0.509965 | − | 0.294428i | −0.222854 | − | 0.974852i | \(-0.571537\pi\) |
0.732819 | + | 0.680424i | \(0.238204\pi\) | |||||||
\(14\) | −0.446760 | + | 0.257937i | −0.0319114 | + | 0.0184241i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | −12.3400 | −0.725879 | −0.362940 | − | 0.931813i | \(-0.618227\pi\) | ||||
−0.362940 | + | 0.931813i | \(0.618227\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.36509 | 0.282373 | 0.141187 | − | 0.989983i | \(-0.454908\pi\) | ||||
0.141187 | + | 0.989983i | \(0.454908\pi\) | |||||||
\(20\) | 2.49454 | − | 9.68387i | 0.124727 | − | 0.484193i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 11.7738 | − | 6.79763i | 0.535175 | − | 0.308983i | ||||
\(23\) | 6.03305 | + | 10.4495i | 0.262307 | + | 0.454328i | 0.966854 | − | 0.255328i | \(-0.0821835\pi\) |
−0.704548 | + | 0.709656i | \(0.748850\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.484120 | + | 24.9953i | 0.0193648 | + | 0.999812i | ||||
\(26\) | − | 10.8260i | − | 0.416384i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.729555i | 0.0260556i | ||||||||
\(29\) | 27.1888 | + | 15.6975i | 0.937545 | + | 0.541292i | 0.889190 | − | 0.457539i | \(-0.151269\pi\) |
0.0483548 | + | 0.998830i | \(0.484602\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.45982 | − | 4.26054i | −0.0793491 | − | 0.137437i | 0.823620 | − | 0.567142i | \(-0.191951\pi\) |
−0.902969 | + | 0.429705i | \(0.858618\pi\) | |||||||
\(32\) | 2.82843 | + | 4.89898i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.72566 | + | 15.1133i | −0.256637 | + | 0.444509i | ||||
\(35\) | −0.489094 | − | 1.75709i | −0.0139741 | − | 0.0502025i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 40.2567i | 1.08802i | 0.839079 | + | 0.544010i | \(0.183095\pi\) | ||||
−0.839079 | + | 0.544010i | \(0.816905\pi\) | |||||||
\(38\) | 3.79369 | − | 6.57087i | 0.0998340 | − | 0.172918i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.0964 | − | 9.90270i | −0.252409 | − | 0.247568i | ||||
\(41\) | 54.8152 | − | 31.6476i | 1.33696 | − | 0.771892i | 0.350601 | − | 0.936525i | \(-0.385977\pi\) |
0.986355 | + | 0.164633i | \(0.0526441\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 46.6042 | + | 26.9070i | 1.08382 | + | 0.625743i | 0.931924 | − | 0.362653i | \(-0.118129\pi\) |
0.151895 | + | 0.988397i | \(0.451462\pi\) | |||||||
\(44\) | − | 19.2266i | − | 0.436968i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 17.0640 | 0.370957 | ||||||||
\(47\) | −14.1167 | + | 24.4509i | −0.300356 | + | 0.520232i | −0.976217 | − | 0.216797i | \(-0.930439\pi\) |
0.675860 | + | 0.737030i | \(0.263772\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −24.4335 | − | 42.3200i | −0.498642 | − | 0.863674i | ||||
\(50\) | 30.9552 | + | 17.0814i | 0.619104 | + | 0.341629i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.2591 | − | 7.65513i | −0.254982 | − | 0.147214i | ||||
\(53\) | 41.6903 | 0.786610 | 0.393305 | − | 0.919408i | \(-0.371332\pi\) | ||||
0.393305 | + | 0.919408i | \(0.371332\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.8895 | + | 46.3060i | 0.234355 | + | 0.841928i | ||||
\(56\) | 0.893519 | + | 0.515874i | 0.0159557 | + | 0.00921203i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 38.4508 | − | 22.1996i | 0.662944 | − | 0.382751i | ||||
\(59\) | 97.2149 | − | 56.1271i | 1.64771 | − | 0.951306i | 0.669731 | − | 0.742604i | \(-0.266409\pi\) |
0.977979 | − | 0.208702i | \(-0.0669240\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −22.9787 | + | 39.8003i | −0.376701 | + | 0.652465i | −0.990580 | − | 0.136935i | \(-0.956275\pi\) |
0.613879 | + | 0.789400i | \(0.289608\pi\) | |||||||
\(62\) | −6.95743 | −0.112217 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 37.0656 | + | 9.54802i | 0.570241 | + | 0.146893i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −39.9594 | + | 23.0706i | −0.596409 | + | 0.344337i | −0.767628 | − | 0.640896i | \(-0.778563\pi\) |
0.171218 | + | 0.985233i | \(0.445230\pi\) | |||||||
\(68\) | 12.3400 | + | 21.3734i | 0.181470 | + | 0.314315i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.49783 | − | 0.643434i | −0.0356832 | − | 0.00919191i | ||||
\(71\) | − | 125.617i | − | 1.76926i | −0.466295 | − | 0.884629i | \(-0.654412\pi\) | ||
0.466295 | − | 0.884629i | \(-0.345588\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 59.0826i | 0.809351i | 0.914460 | + | 0.404676i | \(0.132616\pi\) | ||||
−0.914460 | + | 0.404676i | \(0.867384\pi\) | |||||||
\(74\) | 49.3042 | + | 28.4658i | 0.666273 | + | 0.384673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.36509 | − | 9.29261i | −0.0705933 | − | 0.122271i | ||||
\(77\) | −1.75336 | − | 3.03691i | −0.0227709 | − | 0.0394404i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −25.3435 | + | 43.8963i | −0.320804 | + | 0.555649i | −0.980654 | − | 0.195748i | \(-0.937287\pi\) |
0.659850 | + | 0.751397i | \(0.270620\pi\) | |||||||
\(80\) | −19.2675 | + | 5.36320i | −0.240844 | + | 0.0670400i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 89.5128i | − | 1.09162i | ||||||
\(83\) | −29.5183 | + | 51.1271i | −0.355642 | + | 0.615990i | −0.987228 | − | 0.159316i | \(-0.949071\pi\) |
0.631586 | + | 0.775306i | \(0.282404\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −44.0487 | − | 43.2038i | −0.518220 | − | 0.508280i | ||||
\(86\) | 65.9083 | − | 38.0522i | 0.766376 | − | 0.442467i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −23.5477 | − | 13.5953i | −0.267587 | − | 0.154492i | ||||
\(89\) | 8.93057i | 0.100344i | 0.998741 | + | 0.0501718i | \(0.0159769\pi\) | ||||
−0.998741 | + | 0.0501718i | \(0.984023\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.79242 | −0.0306860 | ||||||||
\(92\) | 12.0661 | − | 20.8991i | 0.131153 | − | 0.227164i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 19.9641 | + | 34.5788i | 0.212384 | + | 0.367860i | ||||
\(95\) | 19.1512 | + | 18.7839i | 0.201592 | + | 0.197725i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −113.714 | − | 65.6530i | −1.17231 | − | 0.676835i | −0.218089 | − | 0.975929i | \(-0.569982\pi\) |
−0.954224 | + | 0.299093i | \(0.903316\pi\) | |||||||
\(98\) | −69.1083 | −0.705187 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 42.8090 | − | 25.8338i | 0.428090 | − | 0.258338i | ||||
\(101\) | −9.48116 | − | 5.47395i | −0.0938729 | − | 0.0541975i | 0.452329 | − | 0.891851i | \(-0.350593\pi\) |
−0.546202 | + | 0.837654i | \(0.683927\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 45.4294 | − | 26.2287i | 0.441063 | − | 0.254648i | −0.262986 | − | 0.964800i | \(-0.584707\pi\) |
0.704048 | + | 0.710152i | \(0.251374\pi\) | |||||||
\(104\) | −18.7512 | + | 10.8260i | −0.180300 | + | 0.104096i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 29.4795 | − | 51.0600i | 0.278109 | − | 0.481698i | ||||
\(107\) | 189.947 | 1.77521 | 0.887603 | − | 0.460608i | \(-0.152369\pi\) | ||||
0.887603 | + | 0.460608i | \(0.152369\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 142.655 | 1.30876 | 0.654382 | − | 0.756164i | \(-0.272929\pi\) | ||||
0.654382 | + | 0.756164i | \(0.272929\pi\) | |||||||
\(110\) | 65.8274 | + | 16.9570i | 0.598430 | + | 0.154154i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.26363 | − | 0.729555i | 0.0112824 | − | 0.00651389i | ||||
\(113\) | −40.8390 | − | 70.7352i | −0.361407 | − | 0.625975i | 0.626786 | − | 0.779192i | \(-0.284370\pi\) |
−0.988193 | + | 0.153216i | \(0.951037\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.0497 | + | 58.4232i | −0.130867 | + | 0.508028i | ||||
\(116\) | − | 62.7898i | − | 0.541292i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 158.751i | − | 1.34535i | ||||||
\(119\) | 3.89827 | + | 2.25067i | 0.0327586 | + | 0.0189132i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.2922 | − | 24.7548i | −0.118117 | − | 0.204585i | ||||
\(122\) | 32.4968 | + | 56.2862i | 0.266368 | + | 0.461362i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.91964 | + | 8.52107i | −0.0396745 | + | 0.0687183i | ||||
\(125\) | −85.7838 | + | 90.9183i | −0.686271 | + | 0.727346i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 83.4011i | − | 0.656701i | −0.944556 | − | 0.328351i | \(-0.893507\pi\) | ||
0.944556 | − | 0.328351i | \(-0.106493\pi\) | |||||||
\(128\) | 5.65685 | − | 9.79796i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 37.9033 | − | 38.6445i | 0.291563 | − | 0.297265i | ||||
\(131\) | 98.6364 | − | 56.9478i | 0.752950 | − | 0.434716i | −0.0738090 | − | 0.997272i | \(-0.523516\pi\) |
0.826759 | + | 0.562557i | \(0.190182\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.69487 | − | 0.978533i | −0.0127434 | − | 0.00735739i | ||||
\(134\) | 65.2535i | 0.486966i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 34.9027 | 0.256637 | ||||||||
\(137\) | −76.3672 | + | 132.272i | −0.557425 | + | 0.965488i | 0.440286 | + | 0.897858i | \(0.354877\pi\) |
−0.997710 | + | 0.0676304i | \(0.978456\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −50.2751 | − | 87.0790i | −0.361691 | − | 0.626467i | 0.626548 | − | 0.779383i | \(-0.284467\pi\) |
−0.988239 | + | 0.152915i | \(0.951134\pi\) | |||||||
\(140\) | −2.55427 | + | 2.60422i | −0.0182448 | + | 0.0186016i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −153.849 | − | 88.8249i | −1.08345 | − | 0.625527i | ||||
\(143\) | 73.5911 | 0.514623 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 42.0943 | + | 151.225i | 0.290305 | + | 1.04293i | ||||
\(146\) | 72.3612 | + | 41.7777i | 0.495624 | + | 0.286149i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 69.7267 | − | 40.2567i | 0.471126 | − | 0.272005i | ||||
\(149\) | −22.4980 | + | 12.9892i | −0.150993 | + | 0.0871761i | −0.573593 | − | 0.819140i | \(-0.694451\pi\) |
0.422600 | + | 0.906316i | \(0.361118\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 77.9769 | − | 135.060i | 0.516403 | − | 0.894437i | −0.483415 | − | 0.875391i | \(-0.660604\pi\) |
0.999819 | − | 0.0190456i | \(-0.00606276\pi\) | |||||||
\(152\) | −15.1748 | −0.0998340 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.95925 | −0.0322029 | ||||||||
\(155\) | 6.13612 | − | 23.8206i | 0.0395879 | − | 0.153681i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −218.848 | + | 126.352i | −1.39394 | + | 0.804790i | −0.993748 | − | 0.111643i | \(-0.964389\pi\) |
−0.400188 | + | 0.916433i | \(0.631055\pi\) | |||||||
\(158\) | 35.8412 | + | 62.0787i | 0.226843 | + | 0.392903i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.05562 | + | 27.3901i | −0.0440977 | + | 0.171188i | ||||
\(161\) | − | 4.40144i | − | 0.0273382i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 156.387i | 0.959430i | 0.877424 | + | 0.479715i | \(0.159260\pi\) | ||||
−0.877424 | + | 0.479715i | \(0.840740\pi\) | |||||||
\(164\) | −109.630 | − | 63.2951i | −0.668478 | − | 0.385946i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 41.7451 | + | 72.3047i | 0.251477 | + | 0.435570i | ||||
\(167\) | −160.031 | − | 277.182i | −0.958268 | − | 1.65977i | −0.726705 | − | 0.686950i | \(-0.758949\pi\) |
−0.231564 | − | 0.972820i | \(-0.574384\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −55.1995 | + | 95.6083i | −0.326624 | + | 0.565729i | ||||
\(170\) | −84.0608 | + | 23.3987i | −0.494475 | + | 0.137640i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | − | 107.628i | − | 0.625743i | ||||||
\(173\) | −19.8360 | + | 34.3570i | −0.114659 | + | 0.198595i | −0.917643 | − | 0.397405i | \(-0.869911\pi\) |
0.802984 | + | 0.596000i | \(0.203244\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.40593 | − | 7.98449i | 0.0251767 | − | 0.0456256i | ||||
\(176\) | −33.3015 | + | 19.2266i | −0.189213 | + | 0.109242i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.9377 | + | 6.31487i | 0.0614476 | + | 0.0354768i | ||||
\(179\) | 51.3204i | 0.286706i | 0.989672 | + | 0.143353i | \(0.0457884\pi\) | ||||
−0.989672 | + | 0.143353i | \(0.954212\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −298.058 | −1.64673 | −0.823363 | − | 0.567515i | \(-0.807905\pi\) | ||||
−0.823363 | + | 0.567515i | \(0.807905\pi\) | |||||||
\(182\) | −1.97454 | + | 3.42000i | −0.0108491 | + | 0.0187912i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.0640 | − | 29.5558i | −0.0927394 | − | 0.160629i | ||||
\(185\) | −140.944 | + | 143.701i | −0.761861 | + | 0.776760i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −102.735 | − | 59.3138i | −0.549383 | − | 0.317186i | ||||
\(188\) | 56.4670 | 0.300356 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 36.5475 | − | 10.1732i | 0.192355 | − | 0.0535430i | ||||
\(191\) | −186.106 | − | 107.448i | −0.974377 | − | 0.562557i | −0.0738091 | − | 0.997272i | \(-0.523516\pi\) |
−0.900568 | + | 0.434716i | \(0.856849\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −152.179 | + | 87.8608i | −0.788494 | + | 0.455237i | −0.839432 | − | 0.543464i | \(-0.817112\pi\) |
0.0509379 | + | 0.998702i | \(0.483779\pi\) | |||||||
\(194\) | −160.816 | + | 92.8474i | −0.828951 | + | 0.478595i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −48.8669 | + | 84.6400i | −0.249321 | + | 0.431837i | ||||
\(197\) | 147.580 | 0.749136 | 0.374568 | − | 0.927200i | \(-0.377791\pi\) | ||||
0.374568 | + | 0.927200i | \(0.377791\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −192.973 | −0.969716 | −0.484858 | − | 0.874593i | \(-0.661129\pi\) | ||||
−0.484858 | + | 0.874593i | \(0.661129\pi\) | |||||||
\(200\) | −1.36930 | − | 70.6974i | −0.00684649 | − | 0.353487i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −13.4084 | + | 7.74134i | −0.0663781 | + | 0.0383234i | ||||
\(203\) | −5.72608 | − | 9.91787i | −0.0282073 | − | 0.0488565i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 306.471 | + | 78.9461i | 1.49498 | + | 0.385103i | ||||
\(206\) | − | 74.1860i | − | 0.360126i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 30.6205i | 0.147214i | ||||||||
\(209\) | 44.6663 | + | 25.7881i | 0.213715 | + | 0.123388i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 191.949 | + | 332.466i | 0.909712 | + | 1.57567i | 0.814464 | + | 0.580215i | \(0.197031\pi\) |
0.0952487 | + | 0.995454i | \(0.469635\pi\) | |||||||
\(212\) | −41.6903 | − | 72.2097i | −0.196652 | − | 0.340612i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 134.313 | − | 232.637i | 0.627630 | − | 1.08709i | ||||
\(215\) | 72.1537 | + | 259.215i | 0.335598 | + | 1.20565i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.79458i | 0.00826994i | ||||||||
\(218\) | 100.872 | − | 174.716i | 0.462718 | − | 0.801451i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 67.3149 | − | 68.6313i | 0.305977 | − | 0.311961i | ||||
\(221\) | −81.8082 | + | 47.2320i | −0.370173 | + | 0.213719i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 299.254 | + | 172.774i | 1.34195 | + | 0.774773i | 0.987093 | − | 0.160149i | \(-0.0511974\pi\) |
0.354853 | + | 0.934922i | \(0.384531\pi\) | |||||||
\(224\) | − | 2.06349i | − | 0.00921203i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −115.510 | −0.511107 | ||||||||
\(227\) | −136.398 | + | 236.248i | −0.600872 | + | 1.04074i | 0.391818 | + | 0.920043i | \(0.371846\pi\) |
−0.992689 | + | 0.120697i | \(0.961487\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.0521213 | − | 0.0902767i | −0.000227604 | − | 0.000394221i | 0.865912 | − | 0.500197i | \(-0.166739\pi\) |
−0.866139 | + | 0.499803i | \(0.833406\pi\) | |||||||
\(230\) | 60.9118 | + | 59.7435i | 0.264834 | + | 0.259754i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −76.9015 | − | 44.3991i | −0.331472 | − | 0.191375i | ||||
\(233\) | −317.302 | −1.36181 | −0.680905 | − | 0.732372i | \(-0.738413\pi\) | ||||
−0.680905 | + | 0.732372i | \(0.738413\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −135.997 | + | 37.8554i | −0.578711 | + | 0.161087i | ||||
\(236\) | −194.430 | − | 112.254i | −0.823855 | − | 0.475653i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.51299 | − | 3.18293i | 0.0231638 | − | 0.0133736i | ||||
\(239\) | −167.164 | + | 96.5123i | −0.699432 | + | 0.403817i | −0.807136 | − | 0.590366i | \(-0.798983\pi\) |
0.107704 | + | 0.994183i | \(0.465650\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 157.363 | − | 272.561i | 0.652959 | − | 1.13096i | −0.329442 | − | 0.944176i | \(-0.606861\pi\) |
0.982401 | − | 0.186783i | \(-0.0598061\pi\) | |||||||
\(242\) | −40.4245 | −0.167043 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 91.9149 | 0.376701 | ||||||||
\(245\) | 60.9503 | − | 236.610i | 0.248777 | − | 0.965757i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 35.5681 | − | 20.5352i | 0.144000 | − | 0.0831387i | ||||
\(248\) | 6.95743 | + | 12.0506i | 0.0280541 | + | 0.0485912i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 50.6934 | + | 169.352i | 0.202774 | + | 0.677409i | ||||
\(251\) | − | 57.1694i | − | 0.227767i | −0.993494 | − | 0.113883i | \(-0.963671\pi\) | ||
0.993494 | − | 0.113883i | \(-0.0363290\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 115.995i | 0.458479i | ||||||||
\(254\) | −102.145 | − | 58.9735i | −0.402146 | − | 0.232179i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −35.8560 | − | 62.1044i | −0.139517 | − | 0.241651i | 0.787797 | − | 0.615935i | \(-0.211222\pi\) |
−0.927314 | + | 0.374284i | \(0.877888\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.34238 | − | 12.7174i | 0.0283490 | − | 0.0491018i | ||||
\(260\) | −20.5280 | − | 73.7476i | −0.0789538 | − | 0.283645i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 161.073i | − | 0.614781i | ||||||
\(263\) | 114.235 | − | 197.861i | 0.434353 | − | 0.752322i | −0.562889 | − | 0.826532i | \(-0.690310\pi\) |
0.997243 | + | 0.0742102i | \(0.0236436\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 148.818 | + | 145.963i | 0.561577 | + | 0.550805i | ||||
\(266\) | −2.39691 | + | 1.38385i | −0.00901093 | + | 0.00520246i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 79.9188 | + | 46.1412i | 0.298205 | + | 0.172169i | ||||
\(269\) | 8.79629i | 0.0326999i | 0.999866 | + | 0.0163500i | \(0.00520459\pi\) | ||||
−0.999866 | + | 0.0163500i | \(0.994795\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.783006 | 0.00288932 | 0.00144466 | − | 0.999999i | \(-0.499540\pi\) | ||||
0.00144466 | + | 0.999999i | \(0.499540\pi\) | |||||||
\(272\) | 24.6799 | − | 42.7468i | 0.0907349 | − | 0.157158i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 108.000 | + | 187.061i | 0.394159 | + | 0.682703i | ||||
\(275\) | −116.113 | + | 210.422i | −0.422230 | + | 0.765171i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −408.921 | − | 236.091i | −1.47625 | − | 0.852313i | −0.476609 | − | 0.879115i | \(-0.658134\pi\) |
−0.999641 | + | 0.0268020i | \(0.991468\pi\) | |||||||
\(278\) | −142.199 | −0.511509 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.38337 | + | 4.96979i | 0.00494059 | + | 0.0177493i | ||||
\(281\) | −205.633 | − | 118.722i | −0.731790 | − | 0.422499i | 0.0872870 | − | 0.996183i | \(-0.472180\pi\) |
−0.819076 | + | 0.573684i | \(0.805514\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 230.663 | − | 133.173i | 0.815064 | − | 0.470577i | −0.0336474 | − | 0.999434i | \(-0.510712\pi\) |
0.848711 | + | 0.528856i | \(0.177379\pi\) | |||||||
\(284\) | −217.576 | + | 125.617i | −0.766111 | + | 0.442315i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 52.0368 | − | 90.1303i | 0.181947 | − | 0.315141i | ||||
\(287\) | −23.0886 | −0.0804482 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −136.726 | −0.473099 | ||||||||
\(290\) | 214.978 | + | 55.3777i | 0.741302 | + | 0.190958i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 102.334 | − | 59.0826i | 0.350459 | − | 0.202338i | ||||
\(293\) | 165.793 | + | 287.162i | 0.565847 | + | 0.980075i | 0.996970 | + | 0.0777821i | \(0.0247839\pi\) |
−0.431124 | + | 0.902293i | \(0.641883\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 543.527 | + | 140.011i | 1.84246 | + | 0.474614i | ||||
\(296\) | − | 113.863i | − | 0.384673i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 36.7391i | 0.123286i | ||||||||
\(299\) | 79.9927 | + | 46.1838i | 0.267534 | + | 0.154461i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.81506 | − | 17.0002i | −0.0326082 | − | 0.0564790i | ||||
\(302\) | −110.276 | − | 191.004i | −0.365152 | − | 0.632462i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −10.7302 | + | 18.5852i | −0.0352967 | + | 0.0611356i | ||||
\(305\) | −221.371 | + | 61.6197i | −0.725807 | + | 0.202032i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 414.087i | − | 1.34882i | −0.738358 | − | 0.674409i | \(-0.764399\pi\) | ||
0.738358 | − | 0.674409i | \(-0.235601\pi\) | |||||||
\(308\) | −3.50672 | + | 6.07381i | −0.0113855 | + | 0.0197202i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −24.8352 | − | 24.3589i | −0.0801137 | − | 0.0785770i | ||||
\(311\) | −427.244 | + | 246.669i | −1.37377 | + | 0.793149i | −0.991401 | − | 0.130858i | \(-0.958227\pi\) |
−0.382374 | + | 0.924008i | \(0.624893\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 95.3452 | + | 55.0476i | 0.304617 | + | 0.175871i | 0.644515 | − | 0.764591i | \(-0.277059\pi\) |
−0.339898 | + | 0.940462i | \(0.610393\pi\) | |||||||
\(314\) | 357.377i | 1.13814i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 101.374 | 0.320804 | ||||||||
\(317\) | 49.7880 | − | 86.2353i | 0.157060 | − | 0.272036i | −0.776747 | − | 0.629812i | \(-0.783132\pi\) |
0.933807 | + | 0.357777i | \(0.116465\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 150.904 | + | 261.374i | 0.473055 | + | 0.819355i | ||||
\(320\) | 28.5568 | + | 28.0091i | 0.0892401 | + | 0.0875284i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.39065 | − | 3.11229i | −0.0167411 | − | 0.00966550i | ||||
\(323\) | −66.2050 | −0.204969 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 98.8807 | + | 163.854i | 0.304248 | + | 0.504167i | ||||
\(326\) | 191.534 | + | 110.582i | 0.587528 | + | 0.339210i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −155.041 | + | 89.5128i | −0.472685 | + | 0.272905i | ||||
\(329\) | 8.91915 | − | 5.14948i | 0.0271099 | − | 0.0156519i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −99.4038 | + | 172.172i | −0.300314 | + | 0.520158i | −0.976207 | − | 0.216841i | \(-0.930425\pi\) |
0.675893 | + | 0.736999i | \(0.263758\pi\) | |||||||
\(332\) | 118.073 | 0.355642 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −452.636 | −1.35520 | ||||||||
\(335\) | −223.412 | − | 57.5505i | −0.666903 | − | 0.171792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −281.276 | + | 162.395i | −0.834648 | + | 0.481884i | −0.855441 | − | 0.517900i | \(-0.826714\pi\) |
0.0207935 | + | 0.999784i | \(0.493381\pi\) | |||||||
\(338\) | 78.0638 | + | 135.211i | 0.230958 | + | 0.400031i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −30.7825 | + | 119.498i | −0.0905368 | + | 0.351466i | ||||
\(341\) | − | 47.2940i | − | 0.138692i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 35.6997i | 0.104081i | ||||||||
\(344\) | −131.817 | − | 76.1044i | −0.383188 | − | 0.221234i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 28.0523 | + | 48.5881i | 0.0810761 | + | 0.140428i | ||||
\(347\) | −220.679 | − | 382.228i | −0.635963 | − | 1.10152i | −0.986310 | − | 0.164901i | \(-0.947270\pi\) |
0.350347 | − | 0.936620i | \(-0.386064\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.0673877 | − | 0.116719i | 0.000193088 | − | 0.000334438i | −0.865929 | − | 0.500167i | \(-0.833272\pi\) |
0.866122 | + | 0.499833i | \(0.166605\pi\) | |||||||
\(350\) | −6.66350 | − | 11.0420i | −0.0190386 | − | 0.0315486i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 54.3811i | 0.154492i | ||||||||
\(353\) | 261.124 | − | 452.281i | 0.739729 | − | 1.28125i | −0.212888 | − | 0.977077i | \(-0.568287\pi\) |
0.952617 | − | 0.304172i | \(-0.0983797\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 439.803 | − | 448.404i | 1.23888 | − | 1.26311i | ||||
\(356\) | 15.4682 | − | 8.93057i | 0.0434500 | − | 0.0250859i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 62.8544 | + | 36.2890i | 0.175571 | + | 0.101366i | ||||
\(359\) | 146.484i | 0.408034i | 0.978967 | + | 0.204017i | \(0.0653998\pi\) | ||||
−0.978967 | + | 0.204017i | \(0.934600\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −332.216 | −0.920265 | ||||||||
\(362\) | −210.758 | + | 365.044i | −0.582206 | + | 1.00841i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.79242 | + | 4.83662i | 0.00767149 | + | 0.0132874i | ||||
\(365\) | −206.856 | + | 210.901i | −0.566729 | + | 0.577812i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −294.167 | − | 169.838i | −0.801546 | − | 0.462773i | 0.0424654 | − | 0.999098i | \(-0.486479\pi\) |
−0.844012 | + | 0.536325i | \(0.819812\pi\) | |||||||
\(368\) | −48.2644 | −0.131153 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 76.3339 | + | 274.232i | 0.206308 | + | 0.741168i | ||||
\(371\) | −13.1703 | − | 7.60385i | −0.0354993 | − | 0.0204955i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −378.262 | + | 218.390i | −1.01411 | + | 0.585496i | −0.912392 | − | 0.409318i | \(-0.865767\pi\) |
−0.101716 | + | 0.994813i | \(0.532433\pi\) | |||||||
\(374\) | −145.289 | + | 83.8824i | −0.388472 | + | 0.224285i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 39.9282 | − | 69.1577i | 0.106192 | − | 0.183930i | ||||
\(377\) | 240.332 | 0.637486 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 677.751 | 1.78826 | 0.894130 | − | 0.447807i | \(-0.147795\pi\) | ||||
0.894130 | + | 0.447807i | \(0.147795\pi\) | |||||||
\(380\) | 13.3834 | − | 51.9548i | 0.0352196 | − | 0.136723i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −263.194 | + | 151.955i | −0.688989 | + | 0.397788i | ||||
\(383\) | −72.5570 | − | 125.672i | −0.189444 | − | 0.328127i | 0.755621 | − | 0.655009i | \(-0.227335\pi\) |
−0.945065 | + | 0.326882i | \(0.894002\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.37382 | − | 16.9793i | 0.0113606 | − | 0.0441021i | ||||
\(386\) | 248.508i | 0.643803i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 262.612i | 0.676835i | ||||||||
\(389\) | 27.6862 | + | 15.9846i | 0.0711728 | + | 0.0410916i | 0.535164 | − | 0.844748i | \(-0.320250\pi\) |
−0.463991 | + | 0.885840i | \(0.653583\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −74.4475 | − | 128.947i | −0.190403 | − | 0.329788i | ||||
\(392\) | 69.1083 | + | 119.699i | 0.176297 | + | 0.305355i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 104.355 | − | 180.748i | 0.264859 | − | 0.458750i | ||||
\(395\) | −244.153 | + | 67.9612i | −0.618109 | + | 0.172054i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 399.771i | − | 1.00698i | −0.864001 | − | 0.503490i | \(-0.832049\pi\) | ||
0.864001 | − | 0.503490i | \(-0.167951\pi\) | |||||||
\(398\) | −136.453 | + | 236.343i | −0.342846 | + | 0.593827i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −87.5545 | − | 48.3136i | −0.218886 | − | 0.120784i | ||||
\(401\) | 68.8518 | − | 39.7516i | 0.171700 | − | 0.0991311i | −0.411687 | − | 0.911325i | \(-0.635060\pi\) |
0.583387 | + | 0.812194i | \(0.301727\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −32.6150 | − | 18.8303i | −0.0809305 | − | 0.0467252i | ||||
\(404\) | 21.8958i | 0.0541975i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.1958 | −0.0398912 | ||||||||
\(407\) | −193.500 | + | 335.152i | −0.475430 | + | 0.823469i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −229.459 | − | 397.434i | −0.561024 | − | 0.971721i | −0.997407 | − | 0.0719608i | \(-0.977074\pi\) |
0.436384 | − | 0.899761i | \(-0.356259\pi\) | |||||||
\(410\) | 313.396 | − | 319.525i | 0.764381 | − | 0.779330i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −90.8589 | − | 52.4574i | −0.220531 | − | 0.127324i | ||||
\(413\) | −40.9478 | −0.0991472 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −284.371 | + | 79.1561i | −0.685232 | + | 0.190738i | ||||
\(416\) | 37.5023 | + | 21.6520i | 0.0901499 | + | 0.0520480i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 63.1678 | − | 36.4699i | 0.151119 | − | 0.0872486i | ||||
\(419\) | 639.066 | − | 368.965i | 1.52522 | − | 0.880585i | 0.525664 | − | 0.850692i | \(-0.323817\pi\) |
0.999553 | − | 0.0298924i | \(-0.00951646\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 51.2781 | − | 88.8163i | 0.121801 | − | 0.210965i | −0.798677 | − | 0.601760i | \(-0.794466\pi\) |
0.920478 | + | 0.390795i | \(0.127800\pi\) | |||||||
\(422\) | 542.915 | 1.28653 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −117.918 | −0.278109 | ||||||||
\(425\) | −5.97402 | − | 308.441i | −0.0140565 | − | 0.725743i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.5183 | − | 8.38213i | 0.0340006 | − | 0.0196303i | ||||
\(428\) | −189.947 | − | 328.998i | −0.443802 | − | 0.768687i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 368.492 | + | 94.9227i | 0.856959 | + | 0.220750i | ||||
\(431\) | 251.755i | 0.584118i | 0.956400 | + | 0.292059i | \(0.0943403\pi\) | ||||
−0.956400 | + | 0.292059i | \(0.905660\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 153.868i | 0.355353i | 0.984089 | + | 0.177676i | \(0.0568581\pi\) | ||||
−0.984089 | + | 0.177676i | \(0.943142\pi\) | |||||||
\(434\) | 2.19790 | + | 1.26896i | 0.00506428 | + | 0.00292386i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −142.655 | − | 247.086i | −0.327191 | − | 0.566711i | ||||
\(437\) | 32.3679 | + | 56.0628i | 0.0740683 | + | 0.128290i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −246.438 | + | 426.843i | −0.561362 | + | 0.972308i | 0.436016 | + | 0.899939i | \(0.356389\pi\) |
−0.997378 | + | 0.0723691i | \(0.976944\pi\) | |||||||
\(440\) | −36.4570 | − | 130.973i | −0.0828569 | − | 0.297667i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 133.592i | 0.302245i | ||||||||
\(443\) | −258.290 | + | 447.372i | −0.583048 | + | 1.00987i | 0.412068 | + | 0.911153i | \(0.364807\pi\) |
−0.995116 | + | 0.0987152i | \(0.968527\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −31.2671 | + | 31.8786i | −0.0702632 | + | 0.0716373i | ||||
\(446\) | 423.209 | − | 244.340i | 0.948899 | − | 0.547847i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.52725 | − | 1.45911i | −0.00564119 | − | 0.00325694i | ||||
\(449\) | − | 612.611i | − | 1.36439i | −0.731170 | − | 0.682195i | \(-0.761026\pi\) | ||
0.731170 | − | 0.682195i | \(-0.238974\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 608.475 | 1.34917 | ||||||||
\(452\) | −81.6780 | + | 141.470i | −0.180703 | + | 0.312988i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 192.896 | + | 334.105i | 0.424880 | + | 0.735914i | ||||
\(455\) | −9.96784 | − | 9.77664i | −0.0219073 | − | 0.0214871i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −764.584 | − | 441.433i | −1.67305 | − | 0.965936i | −0.965916 | − | 0.258857i | \(-0.916654\pi\) |
−0.707135 | − | 0.707079i | \(-0.750013\pi\) | |||||||
\(458\) | −0.147421 | −0.000321880 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 116.242 | − | 32.3564i | 0.252699 | − | 0.0703401i | ||||
\(461\) | 297.353 | + | 171.677i | 0.645017 | + | 0.372401i | 0.786545 | − | 0.617534i | \(-0.211868\pi\) |
−0.141527 | + | 0.989934i | \(0.545201\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 566.909 | − | 327.305i | 1.22442 | − | 0.706922i | 0.258566 | − | 0.965993i | \(-0.416750\pi\) |
0.965858 | + | 0.259072i | \(0.0834166\pi\) | |||||||
\(464\) | −108.755 | + | 62.7898i | −0.234386 | + | 0.135323i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −224.366 | + | 388.614i | −0.481473 | + | 0.833935i | ||||
\(467\) | 861.410 | 1.84456 | 0.922280 | − | 0.386522i | \(-0.126324\pi\) | ||||
0.922280 | + | 0.386522i | \(0.126324\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.8313 | 0.0358876 | ||||||||
\(470\) | −49.8012 | + | 193.330i | −0.105960 | + | 0.411340i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −274.965 | + | 158.751i | −0.582554 | + | 0.336337i | ||||
\(473\) | 258.665 | + | 448.020i | 0.546860 | + | 0.947189i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.59735 | + | 134.102i | 0.00546810 | + | 0.282320i | ||||
\(476\) | − | 9.00268i | − | 0.0189132i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 272.978i | 0.571084i | ||||||||
\(479\) | 311.459 | + | 179.821i | 0.650227 | + | 0.375409i | 0.788543 | − | 0.614979i | \(-0.210836\pi\) |
−0.138316 | + | 0.990388i | \(0.544169\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 154.085 | + | 266.884i | 0.320344 | + | 0.554852i | ||||
\(482\) | −222.545 | − | 385.460i | −0.461712 | − | 0.799709i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −28.5844 | + | 49.5097i | −0.0590587 | + | 0.102293i | ||||
\(485\) | −176.055 | − | 632.485i | −0.363000 | − | 1.30409i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 771.071i | − | 1.58331i | −0.610970 | − | 0.791654i | \(-0.709220\pi\) | ||
0.610970 | − | 0.791654i | \(-0.290780\pi\) | |||||||
\(488\) | 64.9937 | − | 112.572i | 0.133184 | − | 0.230681i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −246.689 | − | 241.957i | −0.503447 | − | 0.493791i | ||||
\(491\) | 137.273 | − | 79.2546i | 0.279578 | − | 0.161415i | −0.353654 | − | 0.935376i | \(-0.615061\pi\) |
0.633233 | + | 0.773962i | \(0.281728\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −335.508 | − | 193.706i | −0.680544 | − | 0.392912i | ||||
\(494\) | − | 58.0825i | − | 0.117576i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 19.6786 | 0.0396745 | ||||||||
\(497\) | −22.9112 | + | 39.6834i | −0.0460990 | + | 0.0798458i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −317.053 | − | 549.152i | −0.635377 | − | 1.10050i | −0.986435 | − | 0.164151i | \(-0.947511\pi\) |
0.351058 | − | 0.936354i | \(-0.385822\pi\) | |||||||
\(500\) | 243.259 | + | 57.6637i | 0.486518 | + | 0.115327i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −70.0180 | − | 40.4249i | −0.139478 | − | 0.0805277i | ||||
\(503\) | −212.791 | −0.423043 | −0.211522 | − | 0.977373i | \(-0.567842\pi\) | ||||
−0.211522 | + | 0.977373i | \(0.567842\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.6789 | − | 52.7346i | −0.0290672 | − | 0.104425i | ||||
\(506\) | 142.064 | + | 82.0209i | 0.280760 | + | 0.162097i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −144.455 | + | 83.4011i | −0.284360 | + | 0.164175i | ||||
\(509\) | 850.733 | − | 491.171i | 1.67138 | − | 0.964973i | 0.704516 | − | 0.709688i | \(-0.251164\pi\) |
0.966866 | − | 0.255284i | \(-0.0821691\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.7760 | − | 18.6646i | 0.0210881 | − | 0.0365256i | ||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −101.416 | −0.197307 | ||||||||
\(515\) | 253.995 | + | 65.4285i | 0.493195 | + | 0.127046i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −235.054 | + | 135.709i | −0.454650 | + | 0.262492i | ||||
\(518\) | −10.3837 | − | 17.9851i | −0.0200457 | − | 0.0347202i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −104.837 | − | 27.0059i | −0.201611 | − | 0.0519344i | ||||
\(521\) | 148.759i | 0.285525i | 0.989757 | + | 0.142763i | \(0.0455986\pi\) | ||||
−0.989757 | + | 0.142763i | \(0.954401\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 896.212i | − | 1.71360i | −0.515650 | − | 0.856799i | \(-0.672450\pi\) | ||
0.515650 | − | 0.856799i | \(-0.327550\pi\) | |||||||
\(524\) | −197.273 | − | 113.896i | −0.376475 | − | 0.217358i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −161.553 | − | 279.817i | −0.307134 | − | 0.531972i | ||||
\(527\) | 30.3541 | + | 52.5748i | 0.0575979 | + | 0.0997625i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 191.705 | − | 332.042i | 0.362391 | − | 0.627679i | ||||
\(530\) | 283.998 | − | 79.0522i | 0.535845 | − | 0.149155i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.91413i | 0.00735739i | ||||||||
\(533\) | 242.266 | − | 419.617i | 0.454533 | − | 0.787275i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 678.036 | + | 665.030i | 1.26736 | + | 1.24305i | ||||
\(536\) | 113.022 | − | 65.2535i | 0.210863 | − | 0.121742i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.7732 | + | 6.21991i | 0.0200245 | + | 0.0115612i | ||||
\(539\) | − | 469.773i | − | 0.871563i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 513.074 | 0.948381 | 0.474190 | − | 0.880422i | \(-0.342741\pi\) | ||||
0.474190 | + | 0.880422i | \(0.342741\pi\) | |||||||
\(542\) | 0.553669 | − | 0.958983i | 0.00102153 | − | 0.00176934i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −34.9027 | − | 60.4532i | −0.0641593 | − | 0.111127i | ||||
\(545\) | 509.222 | + | 499.455i | 0.934353 | + | 0.916431i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −489.598 | − | 282.669i | −0.895060 | − | 0.516763i | −0.0194656 | − | 0.999811i | \(-0.506196\pi\) |
−0.875594 | + | 0.483048i | \(0.839530\pi\) | |||||||
\(548\) | 305.469 | 0.557425 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 175.609 | + | 291.000i | 0.319289 | + | 0.529091i | ||||
\(551\) | 145.870 | + | 84.2183i | 0.264738 | + | 0.152846i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.0124 | − | 9.24476i | 0.0289555 | − | 0.0167175i | ||||
\(554\) | −578.302 | + | 333.883i | −1.04387 | + | 0.602676i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −100.550 | + | 174.158i | −0.180846 | + | 0.313234i | ||||
\(557\) | −487.883 | −0.875913 | −0.437956 | − | 0.898996i | \(-0.644298\pi\) | ||||
−0.437956 | + | 0.898996i | \(0.644298\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 411.953 | 0.736946 | ||||||||
\(560\) | 7.06492 | + | 1.81991i | 0.0126159 | + | 0.00324983i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −290.809 | + | 167.899i | −0.517453 | + | 0.298752i | ||||
\(563\) | 145.172 | + | 251.445i | 0.257854 | + | 0.446616i | 0.965667 | − | 0.259784i | \(-0.0836514\pi\) |
−0.707813 | + | 0.706400i | \(0.750318\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 101.874 | − | 395.479i | 0.180309 | − | 0.699963i | ||||
\(566\) | − | 376.671i | − | 0.665497i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 355.300i | 0.625527i | ||||||||
\(569\) | 506.632 | + | 292.504i | 0.890390 | + | 0.514067i | 0.874070 | − | 0.485800i | \(-0.161472\pi\) |
0.0163200 | + | 0.999867i | \(0.494805\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −324.738 | − | 562.462i | −0.568717 | − | 0.985048i | −0.996693 | − | 0.0812573i | \(-0.974106\pi\) |
0.427976 | − | 0.903790i | \(-0.359227\pi\) | |||||||
\(572\) | −73.5911 | − | 127.464i | −0.128656 | − | 0.222838i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −16.3261 | + | 28.2777i | −0.0284428 | + | 0.0492643i | ||||
\(575\) | −258.269 | + | 155.857i | −0.449164 | + | 0.271055i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 362.217i | − | 0.627760i | −0.949463 | − | 0.313880i | \(-0.898371\pi\) | ||
0.949463 | − | 0.313880i | \(-0.101629\pi\) | |||||||
\(578\) | −96.6796 | + | 167.454i | −0.167266 | + | 0.289713i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 219.836 | − | 224.135i | 0.379027 | − | 0.386439i | ||||
\(581\) | 18.6500 | − | 10.7676i | 0.0320999 | − | 0.0185329i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 347.087 | + | 200.391i | 0.595347 | + | 0.343723i | ||||
\(584\) | − | 167.111i | − | 0.286149i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 468.933 | 0.800228 | ||||||||
\(587\) | −129.737 | + | 224.711i | −0.221017 | + | 0.382812i | −0.955117 | − | 0.296229i | \(-0.904271\pi\) |
0.734100 | + | 0.679041i | \(0.237604\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.1972 | − | 22.8582i | −0.0224061 | − | 0.0388084i | ||||
\(590\) | 555.810 | − | 566.679i | 0.942050 | − | 0.960473i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −139.453 | − | 80.5135i | −0.235563 | − | 0.136002i | ||||
\(593\) | −207.377 | −0.349709 | −0.174854 | − | 0.984594i | \(-0.555945\pi\) | ||||
−0.174854 | + | 0.984594i | \(0.555945\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.03539 | + | 21.6824i | 0.0101435 | + | 0.0364410i | ||||
\(596\) | 44.9961 | + | 25.9785i | 0.0754967 | + | 0.0435881i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 113.127 | − | 65.3138i | 0.189175 | − | 0.109220i | ||||
\(599\) | 666.866 | − | 385.015i | 1.11330 | − | 0.642764i | 0.173617 | − | 0.984813i | \(-0.444454\pi\) |
0.939682 | + | 0.342050i | \(0.111121\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −349.168 | + | 604.777i | −0.580979 | + | 1.00628i | 0.414385 | + | 0.910102i | \(0.363997\pi\) |
−0.995364 | + | 0.0961831i | \(0.969337\pi\) | |||||||
\(602\) | −27.7612 | −0.0461149 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −311.908 | −0.516403 | ||||||||
\(605\) | 35.6525 | − | 138.404i | 0.0589297 | − | 0.228767i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 835.380 | − | 482.307i | 1.37624 | − | 0.794575i | 0.384539 | − | 0.923109i | \(-0.374361\pi\) |
0.991705 | + | 0.128534i | \(0.0410272\pi\) | |||||||
\(608\) | 15.1748 | + | 26.2835i | 0.0249585 | + | 0.0432294i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −81.0647 | + | 314.695i | −0.132893 | + | 0.515893i | ||||
\(611\) | 216.131i | 0.353734i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 123.585i | 0.201607i | 0.994906 | + | 0.100803i | \(0.0321413\pi\) | ||||
−0.994906 | + | 0.100803i | \(0.967859\pi\) | |||||||
\(614\) | −507.151 | − | 292.804i | −0.825979 | − | 0.476879i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.95925 | + | 8.58967i | 0.00805073 | + | 0.0139443i | ||||
\(617\) | 62.6768 | + | 108.559i | 0.101583 | + | 0.175947i | 0.912337 | − | 0.409440i | \(-0.134276\pi\) |
−0.810754 | + | 0.585387i | \(0.800943\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −88.0358 | + | 152.482i | −0.142223 | + | 0.246337i | −0.928333 | − | 0.371749i | \(-0.878758\pi\) |
0.786111 | + | 0.618086i | \(0.212092\pi\) | |||||||
\(620\) | −47.3946 | + | 13.1925i | −0.0764429 | + | 0.0212782i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 697.686i | 1.12168i | ||||||||
\(623\) | 1.62884 | − | 2.82123i | 0.00261451 | − | 0.00452846i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −624.531 | + | 24.2015i | −0.999250 | + | 0.0387223i | ||||
\(626\) | 134.838 | − | 77.8490i | 0.215397 | − | 0.124359i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 437.696 | + | 252.704i | 0.696968 | + | 0.402395i | ||||
\(629\) | − | 496.766i | − | 0.789771i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −154.760 | −0.245262 | −0.122631 | − | 0.992452i | \(-0.539133\pi\) | ||||
−0.122631 | + | 0.992452i | \(0.539133\pi\) | |||||||
\(632\) | 71.6824 | − | 124.157i | 0.113421 | − | 0.196452i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −70.4108 | − | 121.955i | −0.111058 | − | 0.192358i | ||||
\(635\) | 291.998 | − | 297.709i | 0.459840 | − | 0.468833i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −323.965 | − | 187.041i | −0.508580 | − | 0.293629i | ||||
\(638\) | 426.822 | 0.669000 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 54.4967 | − | 15.1694i | 0.0851511 | − | 0.0237022i | ||||
\(641\) | 796.683 | + | 459.965i | 1.24288 | + | 0.717574i | 0.969679 | − | 0.244384i | \(-0.0785857\pi\) |
0.273196 | + | 0.961958i | \(0.411919\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 544.318 | − | 314.262i | 0.846528 | − | 0.488743i | −0.0129497 | − | 0.999916i | \(-0.504122\pi\) |
0.859478 | + | 0.511173i | \(0.170789\pi\) | |||||||
\(644\) | −7.62353 | + | 4.40144i | −0.0118378 | + | 0.00683454i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −46.8140 | + | 81.0842i | −0.0724675 | + | 0.125517i | ||||
\(647\) | −423.162 | −0.654037 | −0.327019 | − | 0.945018i | \(-0.606044\pi\) | ||||
−0.327019 | + | 0.945018i | \(0.606044\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1079.13 | 1.66276 | ||||||||
\(650\) | 270.599 | − | 5.24108i | 0.416306 | − | 0.00806320i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 270.870 | − | 156.387i | 0.415445 | − | 0.239857i | ||||
\(653\) | 105.321 | + | 182.421i | 0.161288 | + | 0.279358i | 0.935331 | − | 0.353775i | \(-0.115102\pi\) |
−0.774043 | + | 0.633133i | \(0.781769\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 551.474 | + | 142.058i | 0.841946 | + | 0.216883i | ||||
\(656\) | 253.180i | 0.385946i | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 14.5649i | − | 0.0221351i | ||||||
\(659\) | 336.939 | + | 194.532i | 0.511288 | + | 0.295192i | 0.733363 | − | 0.679837i | \(-0.237950\pi\) |
−0.222075 | + | 0.975030i | \(0.571283\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −263.498 | − | 456.392i | −0.398636 | − | 0.690457i | 0.594922 | − | 0.803783i | \(-0.297183\pi\) |
−0.993558 | + | 0.113326i | \(0.963849\pi\) | |||||||
\(662\) | 140.578 | + | 243.489i | 0.212354 | + | 0.367808i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 83.4903 | − | 144.609i | 0.125738 | − | 0.217785i | ||||
\(665\) | −2.62403 | − | 9.42694i | −0.00394591 | − | 0.0141758i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 378.814i | 0.567937i | ||||||||
\(668\) | −320.062 | + | 554.363i | −0.479134 | + | 0.829885i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −228.461 | + | 232.929i | −0.340987 | + | 0.347655i | ||||
\(671\) | −382.613 | + | 220.902i | −0.570213 | + | 0.329212i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 326.464 | + | 188.484i | 0.485087 | + | 0.280065i | 0.722534 | − | 0.691335i | \(-0.242977\pi\) |
−0.237447 | + | 0.971401i | \(0.576311\pi\) | |||||||
\(674\) | 459.322i | 0.681487i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 220.798 | 0.326624 | ||||||||
\(677\) | −151.338 | + | 262.125i | −0.223542 | + | 0.387185i | −0.955881 | − | 0.293754i | \(-0.905095\pi\) |
0.732339 | + | 0.680940i | \(0.238429\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 23.9488 | + | 41.4805i | 0.0352706 | + | 0.0610905i | ||||
\(680\) | 124.589 | + | 122.199i | 0.183219 | + | 0.179704i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −57.9231 | − | 33.4419i | −0.0849313 | − | 0.0490351i | ||||
\(683\) | 665.773 | 0.974777 | 0.487389 | − | 0.873185i | \(-0.337950\pi\) | ||||
0.487389 | + | 0.873185i | \(0.337950\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −735.702 | + | 204.786i | −1.07402 | + | 0.298958i | ||||
\(686\) | 43.7230 | + | 25.2435i | 0.0637362 | + | 0.0367981i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −186.417 | + | 107.628i | −0.270955 | + | 0.156436i | ||||
\(689\) | 276.388 | − | 159.572i | 0.401143 | − | 0.231600i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −355.665 | + | 616.031i | −0.514711 | + | 0.891506i | 0.485143 | + | 0.874435i | \(0.338768\pi\) |
−0.999854 | + | 0.0170712i | \(0.994566\pi\) | |||||||
\(692\) | 79.3440 | 0.114659 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −624.175 | −0.899388 | ||||||||
\(695\) | 125.413 | − | 486.857i | 0.180451 | − | 0.700514i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −676.417 | + | 390.529i | −0.970469 | + | 0.560300i | ||||
\(698\) | −0.0953007 | − | 0.165066i | −0.000136534 | − | 0.000236484i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −18.2355 | + | 0.353192i | −0.0260507 | + | 0.000504561i | ||||
\(701\) | 792.935i | 1.13115i | 0.824698 | + | 0.565574i | \(0.191345\pi\) | ||||
−0.824698 | + | 0.565574i | \(0.808655\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 215.981i | 0.307228i | ||||||||
\(704\) | 66.6029 | + | 38.4532i | 0.0946064 | + | 0.0546210i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −369.286 | − | 639.621i | −0.523067 | − | 0.905979i | ||||
\(707\) | 1.99678 | + | 3.45852i | 0.00282429 | + | 0.00489182i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −605.619 | + | 1048.96i | −0.854188 | + | 1.47950i | 0.0232083 | + | 0.999731i | \(0.492612\pi\) |
−0.877396 | + | 0.479766i | \(0.840721\pi\) | |||||||
\(710\) | −238.193 | − | 855.716i | −0.335483 | − | 1.20523i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 25.2595i | − | 0.0354768i | ||||||
\(713\) | 29.6805 | − | 51.4081i | 0.0416276 | − | 0.0721011i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 262.691 | + | 257.652i | 0.367400 | + | 0.360353i | ||||
\(716\) | 88.8895 | − | 51.3204i | 0.124147 | − | 0.0716765i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 179.406 | + | 103.580i | 0.249869 | + | 0.144262i | ||||
\(719\) | − | 239.649i | − | 0.333309i | −0.986015 | − | 0.166654i | \(-0.946704\pi\) | ||
0.986015 | − | 0.166654i | \(-0.0532964\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.1353 | −0.0265399 | ||||||||
\(722\) | −234.912 | + | 406.880i | −0.325363 | + | 0.563545i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 298.058 | + | 516.251i | 0.411682 | + | 0.713054i | ||||
\(725\) | −379.200 | + | 687.192i | −0.523035 | + | 0.947851i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 958.582 | + | 553.438i | 1.31855 | + | 0.761262i | 0.983495 | − | 0.180938i | \(-0.0579133\pi\) |
0.335051 | + | 0.942200i | \(0.391247\pi\) | |||||||
\(728\) | 7.89816 | 0.0108491 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 112.031 | + | 402.476i | 0.153467 | + | 0.551337i | ||||
\(731\) | −575.094 | − | 332.031i | −0.786722 | − | 0.454214i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 245.992 | − | 142.023i | 0.335596 | − | 0.193756i | −0.322727 | − | 0.946492i | \(-0.604600\pi\) |
0.658323 | + | 0.752736i | \(0.271266\pi\) | |||||||
\(734\) | −416.016 | + | 240.187i | −0.566779 | + | 0.327230i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −34.1281 | + | 59.1116i | −0.0463697 | + | 0.0803146i | ||||
\(737\) | −443.569 | −0.601857 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −851.158 | −1.15177 | −0.575885 | − | 0.817531i | \(-0.695342\pi\) | ||||
−0.575885 | + | 0.817531i | \(0.695342\pi\) | |||||||
\(740\) | 389.841 | + | 100.422i | 0.526812 | + | 0.135705i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −18.6256 | + | 10.7535i | −0.0251018 | + | 0.0144925i | ||||
\(743\) | −469.349 | − | 812.936i | −0.631695 | − | 1.09413i | −0.987205 | − | 0.159455i | \(-0.949026\pi\) |
0.355511 | − | 0.934672i | \(-0.384307\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −125.786 | − | 32.4022i | −0.168840 | − | 0.0434929i | ||||
\(746\) | 617.700i | 0.828016i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 237.255i | 0.317186i | ||||||||
\(749\) | −60.0056 | − | 34.6442i | −0.0801143 | − | 0.0462540i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 353.207 | + | 611.773i | 0.470316 | + | 0.814611i | 0.999424 | − | 0.0339437i | \(-0.0108067\pi\) |
−0.529108 | + | 0.848555i | \(0.677473\pi\) | |||||||
\(752\) | −56.4670 | − | 97.8037i | −0.0750891 | − | 0.130058i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 169.941 | − | 294.346i | 0.225385 | − | 0.390379i | ||||
\(755\) | 751.209 | − | 209.103i | 0.994979 | − | 0.276957i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 624.266i | 0.824658i | 0.911035 | + | 0.412329i | \(0.135284\pi\) | ||||
−0.911035 | + | 0.412329i | \(0.864716\pi\) | |||||||
\(758\) | 479.242 | − | 830.072i | 0.632246 | − | 1.09508i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −54.1679 | − | 53.1289i | −0.0712736 | − | 0.0699065i | ||||
\(761\) | −679.179 | + | 392.124i | −0.892482 | + | 0.515275i | −0.874753 | − | 0.484568i | \(-0.838977\pi\) |
−0.0177283 | + | 0.999843i | \(0.505643\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −45.0658 | − | 26.0187i | −0.0590639 | − | 0.0341006i | ||||
\(764\) | 429.793i | 0.562557i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −205.222 | −0.267914 | ||||||||
\(767\) | 429.660 | − | 744.193i | 0.560183 | − | 0.970265i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −338.456 | − | 586.223i | −0.440125 | − | 0.762319i | 0.557573 | − | 0.830128i | \(-0.311732\pi\) |
−0.997698 | + | 0.0678090i | \(0.978399\pi\) | |||||||
\(770\) | −17.7025 | − | 17.3630i | −0.0229903 | − | 0.0225493i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 304.359 | + | 175.722i | 0.394247 | + | 0.227619i | ||||
\(773\) | −1033.43 | −1.33691 | −0.668453 | − | 0.743754i | \(-0.733043\pi\) | ||||
−0.668453 | + | 0.743754i | \(0.733043\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 105.303 | − | 63.5466i | 0.135874 | − | 0.0819956i | ||||
\(776\) | 321.633 | + | 185.695i | 0.414475 | + | 0.239297i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 39.1542 | − | 22.6057i | 0.0503268 | − | 0.0290562i | ||||
\(779\) | 294.088 | − | 169.792i | 0.377520 | − | 0.217962i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 603.799 | − | 1045.81i | 0.773110 | − | 1.33907i | ||||
\(782\) | −210.569 | −0.269270 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 195.468 | 0.249321 | ||||||||
\(785\) | −1223.58 | − | 315.190i | −1.55870 | − | 0.401516i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 349.242 | − | 201.635i | 0.443763 | − | 0.256207i | −0.261429 | − | 0.965223i | \(-0.584194\pi\) |
0.705193 | + | 0.709016i | \(0.250860\pi\) | |||||||
\(788\) | −147.580 | − | 255.616i | −0.187284 | − | 0.324385i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −89.4073 | + | 347.081i | −0.113174 | + | 0.439343i | ||||
\(791\) | 29.7943i | 0.0376666i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 351.811i | 0.443645i | ||||||||
\(794\) | −489.618 | − | 282.681i | −0.616647 | − | 0.356021i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 192.973 | + | 334.240i | 0.242429 | + | 0.419899i | ||||
\(797\) | 7.31120 | + | 12.6634i | 0.00917340 | + | 0.0158888i | 0.870576 | − | 0.492035i | \(-0.163747\pi\) |
−0.861402 | + | 0.507923i | \(0.830413\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 174.200 | − | 301.723i | 0.218022 | − | 0.377626i | ||||
\(800\) | −121.082 | + | 73.0691i | −0.151353 | + | 0.0913364i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 112.434i | − | 0.140193i | ||||||
\(803\) | −283.990 | + | 491.884i | −0.353661 | + | 0.612558i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 15.4100 | − | 15.7114i | 0.0191429 | − | 0.0195173i | ||||
\(806\) | −46.1245 | + | 26.6300i | −0.0572265 | + | 0.0330397i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 26.8168 | + | 15.4827i | 0.0331891 | + | 0.0191617i | ||||
\(809\) | − | 225.767i | − | 0.279069i | −0.990217 | − | 0.139535i | \(-0.955439\pi\) | ||
0.990217 | − | 0.139535i | \(-0.0445607\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 198.448 | 0.244696 | 0.122348 | − | 0.992487i | \(-0.460958\pi\) | ||||
0.122348 | + | 0.992487i | \(0.460958\pi\) | |||||||
\(812\) | −11.4522 | + | 19.8357i | −0.0141037 | + | 0.0244282i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 273.650 | + | 473.976i | 0.336180 | + | 0.582281i | ||||
\(815\) | −547.532 | + | 558.240i | −0.671819 | + | 0.684957i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 250.036 | + | 144.358i | 0.306042 | + | 0.176693i | ||||
\(818\) | −649.007 | −0.793407 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −169.732 | − | 609.769i | −0.206990 | − | 0.743621i | ||||
\(821\) | 105.099 | + | 60.6790i | 0.128013 | + | 0.0739086i | 0.562639 | − | 0.826703i | \(-0.309786\pi\) |
−0.434626 | + | 0.900611i | \(0.643119\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 214.396 | − | 123.782i | 0.260506 | − | 0.150403i | −0.364059 | − | 0.931376i | \(-0.618610\pi\) |
0.624565 | + | 0.780973i | \(0.285276\pi\) | |||||||
\(824\) | −128.494 | + | 74.1860i | −0.155939 | + | 0.0900315i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −28.9545 | + | 50.1506i | −0.0350538 | + | 0.0607150i | ||||
\(827\) | 457.912 | 0.553703 | 0.276851 | − | 0.960913i | \(-0.410709\pi\) | ||||
0.276851 | + | 0.960913i | \(0.410709\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −116.297 | −0.140286 | −0.0701429 | − | 0.997537i | \(-0.522346\pi\) | ||||
−0.0701429 | + | 0.997537i | \(0.522346\pi\) | |||||||
\(830\) | −104.135 | + | 404.254i | −0.125464 | + | 0.487053i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 53.0363 | − | 30.6205i | 0.0637456 | − | 0.0368035i | ||||
\(833\) | 301.508 | + | 522.227i | 0.361954 | + | 0.626923i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 399.203 | − | 1549.72i | 0.478088 | − | 1.85595i | ||||
\(836\) | − | 103.153i | − | 0.123388i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 1043.59i | − | 1.24533i | ||||||
\(839\) | −478.220 | − | 276.100i | −0.569988 | − | 0.329083i | 0.187156 | − | 0.982330i | \(-0.440073\pi\) |
−0.757145 | + | 0.653247i | \(0.773406\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 72.3203 | + | 125.262i | 0.0859932 | + | 0.148945i | ||||
\(842\) | −72.5182 | − | 125.605i | −0.0861261 | − | 0.149175i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 383.899 | − | 664.932i | 0.454856 | − | 0.787834i | ||||
\(845\) | −531.778 | + | 148.023i | −0.629323 | + | 0.175175i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.4270i | 0.0123105i | ||||||||
\(848\) | −83.3806 | + | 144.419i | −0.0983262 | + | 0.170306i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −381.986 | − | 210.784i | −0.449395 | − | 0.247981i | ||||
\(851\) | −420.665 | + | 242.871i | −0.494318 | + | 0.285395i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −238.466 | − | 137.678i | −0.279561 | − | 0.161405i | 0.353664 | − | 0.935373i | \(-0.384936\pi\) |
−0.633225 | + | 0.773968i | \(0.718269\pi\) | |||||||
\(854\) | − | 23.7082i | − | 0.0277614i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −537.252 | −0.627630 | ||||||||
\(857\) | 811.725 | − | 1405.95i | 0.947170 | − | 1.64055i | 0.195824 | − | 0.980639i | \(-0.437262\pi\) |
0.751346 | − | 0.659908i | \(-0.229405\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 511.175 | + | 885.381i | 0.595082 | + | 1.03071i | 0.993535 | + | 0.113523i | \(0.0362136\pi\) |
−0.398454 | + | 0.917188i | \(0.630453\pi\) | |||||||
\(860\) | 376.820 | − | 384.189i | 0.438162 | − | 0.446731i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 308.335 | + | 178.018i | 0.357698 | + | 0.206517i | ||||
\(863\) | 588.647 | 0.682094 | 0.341047 | − | 0.940046i | \(-0.389218\pi\) | ||||
0.341047 | + | 0.940046i | \(0.389218\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −191.095 | + | 53.1922i | −0.220919 | + | 0.0614938i | ||||
\(866\) | 188.449 | + | 108.801i | 0.217608 | + | 0.125636i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.10830 | − | 1.79458i | 0.00358099 | − | 0.00206748i | ||||
\(869\) | −421.988 | + | 243.635i | −0.485602 | + | 0.280363i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −176.608 | + | 305.895i | −0.202765 | + | 0.351199i | ||||
\(872\) | −403.490 | −0.462718 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 91.5502 | 0.104748 | ||||||||
\(875\) | 43.6822 | − | 13.0757i | 0.0499225 | − | 0.0149436i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −528.533 | + | 305.149i | −0.602661 | + | 0.347946i | −0.770088 | − | 0.637938i | \(-0.779787\pi\) |
0.167427 | + | 0.985884i | \(0.446454\pi\) | |||||||
\(878\) | 348.516 | + | 603.648i | 0.396943 | + | 0.687526i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −186.188 | − | 47.9615i | −0.211577 | − | 0.0545017i | ||||
\(881\) | 677.101i | 0.768559i | 0.923217 | + | 0.384280i | \(0.125550\pi\) | ||||
−0.923217 | + | 0.384280i | \(0.874450\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 760.076i | − | 0.860788i | −0.902641 | − | 0.430394i | \(-0.858375\pi\) | ||
0.902641 | − | 0.430394i | \(-0.141625\pi\) | |||||||
\(884\) | 163.616 | + | 94.4640i | 0.185086 | + | 0.106860i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 365.277 | + | 632.679i | 0.412277 | + | 0.714085i | ||||
\(887\) | 320.061 | + | 554.363i | 0.360836 | + | 0.624986i | 0.988099 | − | 0.153822i | \(-0.0491581\pi\) |
−0.627263 | + | 0.778808i | \(0.715825\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −15.2114 | + | 26.3470i | −0.0171107 | + | 0.0296366i | ||||
\(890\) | 16.9339 | + | 60.8358i | 0.0190269 | + | 0.0683549i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 691.098i | − | 0.774773i | ||||||
\(893\) | −75.7377 | + | 131.181i | −0.0848126 | + | 0.146900i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −179.679 | + | 183.193i | −0.200759 | + | 0.204685i | ||||
\(896\) | −3.57408 | + | 2.06349i | −0.00398893 | + | 0.00230301i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −750.292 | − | 433.181i | −0.835515 | − | 0.482385i | ||||
\(899\) | − | 154.452i | − | 0.171804i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −514.456 | −0.570984 | ||||||||
\(902\) | 430.257 | − | 745.227i | 0.477003 | − | 0.826194i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 115.510 | + | 200.069i | 0.127777 | + | 0.221316i | ||||
\(905\) | −1063.95 | − | 1043.54i | −1.17563 | − | 1.15308i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 152.547 | + | 88.0733i | 0.168189 | + | 0.0971040i | 0.581732 | − | 0.813381i | \(-0.302375\pi\) |
−0.413543 | + | 0.910485i | \(0.635709\pi\) | |||||||
\(908\) | 545.591 | 0.600872 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −19.0222 | + | 5.29492i | −0.0209035 | + | 0.00581860i | ||||
\(911\) | −1244.54 | − | 718.538i | −1.36613 | − | 0.788735i | −0.375698 | − | 0.926742i | \(-0.622597\pi\) |
−0.990431 | + | 0.138007i | \(0.955930\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −491.501 | + | 283.768i | −0.538336 | + | 0.310808i | ||||
\(914\) | −1081.29 | + | 624.280i | −1.18303 | + | 0.683020i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.104243 | + | 0.180553i | −0.000113802 | + | 0.000197111i | ||||
\(917\) | −41.5465 | −0.0453070 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 217.751 | 0.236944 | 0.118472 | − | 0.992957i | \(-0.462200\pi\) | ||||
0.118472 | + | 0.992957i | \(0.462200\pi\) | |||||||
\(920\) | 42.5669 | − | 165.246i | 0.0462684 | − | 0.179615i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 420.520 | − | 242.788i | 0.456096 | − | 0.263327i | ||||
\(923\) | −480.809 | − | 832.785i | −0.520920 | − | 0.902259i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1006.23 | + | 19.4891i | −1.08782 | + | 0.0210693i | ||||
\(926\) | − | 925.758i | − | 0.999738i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 177.596i | 0.191375i | ||||||||
\(929\) | 254.358 | + | 146.854i | 0.273798 | + | 0.158077i | 0.630612 | − | 0.776098i | \(-0.282804\pi\) |
−0.356814 | + | 0.934175i | \(0.616137\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −131.088 | − | 227.051i | −0.140803 | − | 0.243878i | ||||
\(932\) | 317.302 | + | 549.583i | 0.340453 | + | 0.589681i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 609.109 | − | 1055.01i | 0.652150 | − | 1.12956i | ||||
\(935\) | −159.056 | − | 571.414i | −0.170113 | − | 0.611138i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 375.806i | 0.401074i | 0.979686 | + | 0.200537i | \(0.0642686\pi\) | ||||
−0.979686 | + | 0.200537i | \(0.935731\pi\) | |||||||
\(938\) | 11.9015 | − | 20.6140i | 0.0126882 | − | 0.0219766i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 201.565 | + | 197.699i | 0.214431 | + | 0.210318i | ||||
\(941\) | −962.551 | + | 555.729i | −1.02290 | + | 0.590573i | −0.914943 | − | 0.403583i | \(-0.867765\pi\) |
−0.107959 | + | 0.994155i | \(0.534431\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 661.405 | + | 381.863i | 0.701384 | + | 0.404944i | ||||
\(944\) | 449.016i | 0.475653i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 731.614 | 0.773377 | ||||||||
\(947\) | −908.613 | + | 1573.76i | −0.959465 | + | 1.66184i | −0.235662 | + | 0.971835i | \(0.575726\pi\) |
−0.723803 | + | 0.690007i | \(0.757607\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 226.143 | + | 391.691i | 0.238296 | + | 0.412740i | ||||
\(950\) | 166.078 | + | 91.6435i | 0.174818 | + | 0.0964668i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −11.0260 | − | 6.36586i | −0.0115819 | − | 0.00668682i | ||||
\(953\) | 817.241 | 0.857545 | 0.428773 | − | 0.903412i | \(-0.358946\pi\) | ||||
0.428773 | + | 0.903412i | \(0.358946\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −288.133 | − | 1035.13i | −0.301710 | − | 1.08391i | ||||
\(956\) | 334.328 | + | 193.025i | 0.349716 | + | 0.201909i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 440.469 | − | 254.305i | 0.459780 | − | 0.265454i | ||||
\(959\) | 48.2498 | − | 27.8571i | 0.0503127 | − | 0.0290480i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 468.399 | − | 811.290i | 0.487407 | − | 0.844214i | ||||
\(962\) | 435.819 | 0.453034 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −629.453 | −0.652959 | ||||||||
\(965\) | −850.832 | − | 219.172i | −0.881692 | − | 0.227122i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 42.1958 | − | 24.3618i | 0.0436358 | − | 0.0251931i | −0.478023 | − | 0.878347i | \(-0.658647\pi\) |
0.521659 | + | 0.853154i | \(0.325313\pi\) | |||||||
\(968\) | 40.4245 | + | 70.0172i | 0.0417608 | + | 0.0723319i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −899.122 | − | 231.612i | −0.926930 | − | 0.238775i | ||||
\(971\) | 260.809i | 0.268598i | 0.990941 | + | 0.134299i | \(0.0428783\pi\) | ||||
−0.990941 | + | 0.134299i | \(0.957122\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 36.6785i | 0.0376963i | ||||||||
\(974\) | −944.365 | − | 545.229i | −0.969574 | − | 0.559784i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −91.9149 | − | 159.201i | −0.0941751 | − | 0.163116i | ||||
\(977\) | 124.626 | + | 215.859i | 0.127560 | + | 0.220941i | 0.922731 | − | 0.385445i | \(-0.125952\pi\) |
−0.795171 | + | 0.606386i | \(0.792619\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −42.9261 | + | 74.3503i | −0.0438469 | + | 0.0759451i | ||||
\(980\) | −470.772 | + | 131.041i | −0.480379 | + | 0.133716i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 224.166i | − | 0.228275i | ||||||
\(983\) | 294.126 | − | 509.440i | 0.299212 | − | 0.518251i | −0.676744 | − | 0.736219i | \(-0.736610\pi\) |
0.975956 | + | 0.217968i | \(0.0699428\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 526.801 | + | 516.696i | 0.534823 | + | 0.524565i | ||||
\(986\) | −474.480 | + | 273.941i | −0.481218 | + | 0.277831i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −71.1362 | − | 41.0705i | −0.0720002 | − | 0.0415693i | ||||
\(989\) | 649.324i | 0.656546i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −598.851 | −0.604289 | −0.302145 | − | 0.953262i | \(-0.597703\pi\) | ||||
−0.302145 | + | 0.953262i | \(0.597703\pi\) | |||||||
\(992\) | 13.9149 | − | 24.1012i | 0.0140271 | − | 0.0242956i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 32.4013 | + | 56.1208i | 0.0325969 | + | 0.0564595i | ||||
\(995\) | −688.839 | − | 675.626i | −0.692300 | − | 0.679021i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 797.523 | + | 460.450i | 0.799922 | + | 0.461835i | 0.843444 | − | 0.537217i | \(-0.180524\pi\) |
−0.0435217 | + | 0.999052i | \(0.513858\pi\) | |||||||
\(998\) | −896.761 | −0.898559 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 810.3.j.h.269.11 | 24 | ||
3.2 | odd | 2 | inner | 810.3.j.h.269.3 | 24 | ||
5.4 | even | 2 | 810.3.j.g.269.3 | 24 | |||
9.2 | odd | 6 | 810.3.b.c.809.23 | yes | 24 | ||
9.4 | even | 3 | 810.3.j.g.539.11 | 24 | |||
9.5 | odd | 6 | 810.3.j.g.539.3 | 24 | |||
9.7 | even | 3 | 810.3.b.c.809.2 | yes | 24 | ||
15.14 | odd | 2 | 810.3.j.g.269.11 | 24 | |||
45.4 | even | 6 | inner | 810.3.j.h.539.3 | 24 | ||
45.14 | odd | 6 | inner | 810.3.j.h.539.11 | 24 | ||
45.29 | odd | 6 | 810.3.b.c.809.1 | ✓ | 24 | ||
45.34 | even | 6 | 810.3.b.c.809.24 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
810.3.b.c.809.1 | ✓ | 24 | 45.29 | odd | 6 | ||
810.3.b.c.809.2 | yes | 24 | 9.7 | even | 3 | ||
810.3.b.c.809.23 | yes | 24 | 9.2 | odd | 6 | ||
810.3.b.c.809.24 | yes | 24 | 45.34 | even | 6 | ||
810.3.j.g.269.3 | 24 | 5.4 | even | 2 | |||
810.3.j.g.269.11 | 24 | 15.14 | odd | 2 | |||
810.3.j.g.539.3 | 24 | 9.5 | odd | 6 | |||
810.3.j.g.539.11 | 24 | 9.4 | even | 3 | |||
810.3.j.h.269.3 | 24 | 3.2 | odd | 2 | inner | ||
810.3.j.h.269.11 | 24 | 1.1 | even | 1 | trivial | ||
810.3.j.h.539.3 | 24 | 45.4 | even | 6 | inner | ||
810.3.j.h.539.11 | 24 | 45.14 | odd | 6 | inner |