Newspace parameters
Level: | \( N \) | \(=\) | \( 792 = 2^{3} \cdot 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 792.h (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(6.32415184009\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | 16.0.3342602057661458415616.4 |
|
|
Defining polynomial: |
\( x^{16} - 20x^{14} + 164x^{12} - 666x^{10} + 1300x^{8} - 924x^{6} + 273x^{4} + 404x^{2} + 64 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{14} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 307.16 | ||
Root | \(-2.34517 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 792.307 |
Dual form | 792.2.h.i.307.13 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/792\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(199\) | \(353\) | \(397\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37491 | + | 0.331077i | 0.972211 | + | 0.234107i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.78078 | + | 0.910404i | 0.890388 | + | 0.455202i | ||||
\(5\) | 2.00000i | 0.894427i | 0.894427 | + | 0.447214i | \(0.147584\pi\) | ||||
−0.894427 | + | 0.447214i | \(0.852416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.02045 | −1.14162 | −0.570811 | − | 0.821081i | \(-0.693371\pi\) | ||||
−0.570811 | + | 0.821081i | \(0.693371\pi\) | |||||||
\(8\) | 2.14700 | + | 1.84130i | 0.759079 | + | 0.650998i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.662153 | + | 2.74983i | −0.209391 | + | 0.869572i | ||||
\(11\) | 2.33205 | + | 2.35829i | 0.703139 | + | 0.711053i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.32431 | −0.367297 | −0.183648 | − | 0.982992i | \(-0.558791\pi\) | ||||
−0.183648 | + | 0.982992i | \(0.558791\pi\) | |||||||
\(14\) | −4.15286 | − | 1.00000i | −1.10990 | − | 0.267261i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.34233 | + | 3.24245i | 0.585582 | + | 0.810613i | ||||
\(17\) | − | 1.69614i | − | 0.411375i | −0.978618 | − | 0.205687i | \(-0.934057\pi\) | ||
0.978618 | − | 0.205687i | \(-0.0659430\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.04383i | 1.61597i | 0.589206 | + | 0.807983i | \(0.299441\pi\) | ||||
−0.589206 | + | 0.807983i | \(0.700559\pi\) | |||||||
\(20\) | −1.82081 | + | 3.56155i | −0.407145 | + | 0.796387i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.42559 | + | 4.01454i | 0.517137 | + | 0.855903i | ||||
\(23\) | − | 3.12311i | − | 0.651213i | −0.945505 | − | 0.325606i | \(-0.894432\pi\) | ||
0.945505 | − | 0.325606i | \(-0.105568\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.82081 | − | 0.438447i | −0.357090 | − | 0.0859866i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.37874 | − | 2.74983i | −1.01649 | − | 0.519669i | ||||
\(29\) | −1.54417 | −0.286746 | −0.143373 | − | 0.989669i | \(-0.545795\pi\) | ||||
−0.143373 | + | 0.989669i | \(0.545795\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.30571i | 1.49175i | 0.666086 | + | 0.745875i | \(0.267968\pi\) | ||||
−0.666086 | + | 0.745875i | \(0.732032\pi\) | |||||||
\(32\) | 2.14700 | + | 5.23358i | 0.379540 | + | 0.925175i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.561553 | − | 2.33205i | 0.0963055 | − | 0.399943i | ||||
\(35\) | − | 6.04090i | − | 1.02110i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 4.66410i | − | 0.766773i | −0.923588 | − | 0.383386i | \(-0.874758\pi\) | ||
0.923588 | − | 0.383386i | \(-0.125242\pi\) | |||||||
\(38\) | −2.33205 | + | 9.68466i | −0.378308 | + | 1.57106i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.68260 | + | 4.29400i | −0.582270 | + | 0.678941i | ||||
\(41\) | − | 7.73704i | − | 1.20832i | −0.796862 | − | 0.604161i | \(-0.793508\pi\) | ||
0.796862 | − | 0.604161i | \(-0.206492\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.95548i | − | 0.603205i | −0.953434 | − | 0.301603i | \(-0.902478\pi\) | ||
0.953434 | − | 0.301603i | \(-0.0975216\pi\) | |||||||
\(44\) | 2.00586 | + | 6.32270i | 0.302394 | + | 0.953183i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.03399 | − | 4.29400i | 0.152453 | − | 0.633116i | ||||
\(47\) | 6.00000i | 0.875190i | 0.899172 | + | 0.437595i | \(0.144170\pi\) | ||||
−0.899172 | + | 0.437595i | \(0.855830\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.12311 | 0.303301 | ||||||||
\(50\) | 1.37491 | + | 0.331077i | 0.194442 | + | 0.0468213i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.35829 | − | 1.20565i | −0.327037 | − | 0.167194i | ||||
\(53\) | − | 8.24621i | − | 1.13270i | −0.824163 | − | 0.566352i | \(-0.808354\pi\) | ||
0.824163 | − | 0.566352i | \(-0.191646\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.71659 | + | 4.66410i | −0.635985 | + | 0.628907i | ||||
\(56\) | −6.48490 | − | 5.56155i | −0.866582 | − | 0.743194i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.12311 | − | 0.511240i | −0.278777 | − | 0.0671291i | ||||
\(59\) | 11.9473 | 1.55541 | 0.777705 | − | 0.628630i | \(-0.216384\pi\) | ||||
0.777705 | + | 0.628630i | \(0.216384\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.10887 | 1.03823 | 0.519117 | − | 0.854703i | \(-0.326261\pi\) | ||||
0.519117 | + | 0.854703i | \(0.326261\pi\) | |||||||
\(62\) | −2.74983 | + | 11.4196i | −0.349228 | + | 1.45030i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.21922 | + | 7.90655i | 0.152403 | + | 0.988318i | ||||
\(65\) | − | 2.64861i | − | 0.328520i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.24621 | 0.763096 | 0.381548 | − | 0.924349i | \(-0.375391\pi\) | ||||
0.381548 | + | 0.924349i | \(0.375391\pi\) | |||||||
\(68\) | 1.54417 | − | 3.02045i | 0.187259 | − | 0.366283i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.00000 | − | 8.30571i | 0.239046 | − | 0.992722i | ||||
\(71\) | − | 12.2462i | − | 1.45336i | −0.686977 | − | 0.726679i | \(-0.741063\pi\) | ||
0.686977 | − | 0.726679i | \(-0.258937\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 3.08835i | − | 0.361464i | −0.983532 | − | 0.180732i | \(-0.942153\pi\) | ||
0.983532 | − | 0.180732i | \(-0.0578466\pi\) | |||||||
\(74\) | 1.54417 | − | 6.41273i | 0.179507 | − | 0.745465i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.41273 | + | 12.5435i | −0.735591 | + | 1.43884i | ||||
\(77\) | −7.04383 | − | 7.12311i | −0.802719 | − | 0.811753i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.4536 | −1.40114 | −0.700571 | − | 0.713583i | \(-0.747071\pi\) | ||||
−0.700571 | + | 0.713583i | \(0.747071\pi\) | |||||||
\(80\) | −6.48490 | + | 4.68466i | −0.725034 | + | 0.523761i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.56155 | − | 10.6378i | 0.282876 | − | 1.17474i | ||||
\(83\) | − | 4.71659i | − | 0.517713i | −0.965916 | − | 0.258856i | \(-0.916654\pi\) | ||
0.965916 | − | 0.258856i | \(-0.0833457\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.39228 | 0.367945 | ||||||||
\(86\) | 1.30957 | − | 5.43845i | 0.141214 | − | 0.586443i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.664579 | + | 9.35726i | 0.0708444 | + | 0.997487i | ||||
\(89\) | 16.6114 | 1.76081 | 0.880404 | − | 0.474225i | \(-0.157272\pi\) | ||||
0.880404 | + | 0.474225i | \(0.157272\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.00000 | 0.419314 | ||||||||
\(92\) | 2.84329 | − | 5.56155i | 0.296433 | − | 0.579832i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.98646 | + | 8.24948i | −0.204888 | + | 0.850869i | ||||
\(95\) | −14.0877 | −1.44536 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.3693 | −1.35745 | −0.678724 | − | 0.734393i | \(-0.737467\pi\) | ||||
−0.678724 | + | 0.734393i | \(0.737467\pi\) | |||||||
\(98\) | 2.91909 | + | 0.702911i | 0.294872 | + | 0.0710047i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.78078 | + | 0.910404i | 0.178078 | + | 0.0910404i | ||||
\(101\) | 1.54417 | 0.153651 | 0.0768255 | − | 0.997045i | \(-0.475522\pi\) | ||||
0.0768255 | + | 0.997045i | \(0.475522\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.30571i | 0.818386i | 0.912448 | + | 0.409193i | \(0.134190\pi\) | ||||
−0.912448 | + | 0.409193i | \(0.865810\pi\) | |||||||
\(104\) | −2.84329 | − | 2.43845i | −0.278807 | − | 0.239109i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.73013 | − | 11.3378i | 0.265174 | − | 1.10123i | ||||
\(107\) | − | 8.10887i | − | 0.783914i | −0.919984 | − | 0.391957i | \(-0.871798\pi\) | ||
0.919984 | − | 0.391957i | \(-0.128202\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16.7984 | 1.60899 | 0.804497 | − | 0.593957i | \(-0.202435\pi\) | ||||
0.804497 | + | 0.593957i | \(0.202435\pi\) | |||||||
\(110\) | −8.02908 | + | 4.85118i | −0.765542 | + | 0.462542i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.07488 | − | 9.79366i | −0.668514 | − | 0.925414i | ||||
\(113\) | 7.28323 | 0.685149 | 0.342574 | − | 0.939491i | \(-0.388701\pi\) | ||||
0.342574 | + | 0.939491i | \(0.388701\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.24621 | 0.582462 | ||||||||
\(116\) | −2.74983 | − | 1.40582i | −0.255315 | − | 0.130527i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 16.4265 | + | 3.95548i | 1.51219 | + | 0.364132i | ||||
\(119\) | 5.12311i | 0.469634i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.123106 | + | 10.9993i | −0.0111914 | + | 0.999937i | ||||
\(122\) | 11.1490 | + | 2.68466i | 1.00938 | + | 0.243058i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.56155 | + | 14.7906i | −0.679047 | + | 1.32824i | ||||
\(125\) | 12.0000i | 1.07331i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.27678 | 0.202032 | 0.101016 | − | 0.994885i | \(-0.467791\pi\) | ||||
0.101016 | + | 0.994885i | \(0.467791\pi\) | |||||||
\(128\) | −0.941346 | + | 11.2745i | −0.0832041 | + | 0.996533i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.876894 | − | 3.64162i | 0.0769087 | − | 0.319391i | ||||
\(131\) | − | 3.97292i | − | 0.347116i | −0.984824 | − | 0.173558i | \(-0.944474\pi\) | ||
0.984824 | − | 0.173558i | \(-0.0555264\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 21.2755i | − | 1.84482i | ||||||
\(134\) | 8.58800 | + | 2.06798i | 0.741890 | + | 0.178646i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.12311 | − | 3.64162i | 0.267804 | − | 0.312266i | ||||
\(137\) | −7.28323 | −0.622248 | −0.311124 | − | 0.950369i | \(-0.600706\pi\) | ||||
−0.311124 | + | 0.950369i | \(0.600706\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 3.95548i | − | 0.335500i | −0.985830 | − | 0.167750i | \(-0.946350\pi\) | ||
0.985830 | − | 0.167750i | \(-0.0536501\pi\) | |||||||
\(140\) | 5.49966 | − | 10.7575i | 0.464806 | − | 0.909173i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.05444 | − | 16.8375i | 0.340241 | − | 1.41297i | ||||
\(143\) | −3.08835 | − | 3.12311i | −0.258261 | − | 0.261167i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 3.08835i | − | 0.256473i | ||||||
\(146\) | 1.02248 | − | 4.24621i | 0.0846210 | − | 0.351419i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.24621 | − | 8.30571i | 0.349036 | − | 0.682725i | ||||
\(149\) | −12.5435 | −1.02760 | −0.513801 | − | 0.857909i | \(-0.671763\pi\) | ||||
−0.513801 | + | 0.857909i | \(0.671763\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.15640 | −0.582379 | −0.291190 | − | 0.956665i | \(-0.594051\pi\) | ||||
−0.291190 | + | 0.956665i | \(0.594051\pi\) | |||||||
\(152\) | −12.9698 | + | 15.1231i | −1.05199 | + | 1.22665i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.32636 | − | 12.1257i | −0.590375 | − | 0.977117i | ||||
\(155\) | −16.6114 | −1.33426 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 7.28323i | − | 0.581265i | −0.956835 | − | 0.290633i | \(-0.906134\pi\) | ||
0.956835 | − | 0.290633i | \(-0.0938657\pi\) | |||||||
\(158\) | −17.1227 | − | 4.12311i | −1.36221 | − | 0.328017i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −10.4672 | + | 4.29400i | −0.827502 | + | 0.339471i | ||||
\(161\) | 9.43318i | 0.743439i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −20.4924 | −1.60509 | −0.802545 | − | 0.596591i | \(-0.796521\pi\) | ||||
−0.802545 | + | 0.596591i | \(0.796521\pi\) | |||||||
\(164\) | 7.04383 | − | 13.7779i | 0.550031 | − | 1.07588i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.56155 | − | 6.48490i | 0.121200 | − | 0.503326i | ||||
\(167\) | 14.0877 | 1.09014 | 0.545068 | − | 0.838392i | \(-0.316504\pi\) | ||||
0.545068 | + | 0.838392i | \(0.316504\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.2462 | −0.865093 | ||||||||
\(170\) | 4.66410 | + | 1.12311i | 0.357720 | + | 0.0861383i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.60109 | − | 7.04383i | 0.274580 | − | 0.537087i | ||||
\(173\) | 12.5435 | 0.953663 | 0.476832 | − | 0.878995i | \(-0.341785\pi\) | ||||
0.476832 | + | 0.878995i | \(0.341785\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.02045 | −0.228324 | ||||||||
\(176\) | −2.18423 | + | 13.0855i | −0.164643 | + | 0.986353i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 22.8393 | + | 5.49966i | 1.71188 | + | 0.412217i | ||||
\(179\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 25.9396i | − | 1.92808i | −0.265764 | − | 0.964038i | \(-0.585624\pi\) | ||
0.265764 | − | 0.964038i | \(-0.414376\pi\) | |||||||
\(182\) | 5.49966 | + | 1.32431i | 0.407662 | + | 0.0981642i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.75058 | − | 6.70531i | 0.423938 | − | 0.494322i | ||||
\(185\) | 9.32819 | 0.685822 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.00000 | − | 3.95548i | 0.292509 | − | 0.289253i | ||||
\(188\) | −5.46242 | + | 10.6847i | −0.398388 | + | 0.779259i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −19.3693 | − | 4.66410i | −1.40520 | − | 0.338369i | ||||
\(191\) | 4.24621i | 0.307245i | 0.988130 | + | 0.153623i | \(0.0490940\pi\) | ||||
−0.988130 | + | 0.153623i | \(0.950906\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 25.0870i | − | 1.80580i | −0.429851 | − | 0.902900i | \(-0.641434\pi\) | ||
0.429851 | − | 0.902900i | \(-0.358566\pi\) | |||||||
\(194\) | −18.3817 | − | 4.42627i | −1.31973 | − | 0.317788i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.78078 | + | 1.93288i | 0.270055 | + | 0.138063i | ||||
\(197\) | 15.6318 | 1.11372 | 0.556861 | − | 0.830606i | \(-0.312006\pi\) | ||||
0.556861 | + | 0.830606i | \(0.312006\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.02248i | 0.0724817i | 0.999343 | + | 0.0362408i | \(0.0115383\pi\) | ||||
−0.999343 | + | 0.0362408i | \(0.988462\pi\) | |||||||
\(200\) | 2.14700 | + | 1.84130i | 0.151816 | + | 0.130200i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.12311 | + | 0.511240i | 0.149381 | + | 0.0359707i | ||||
\(203\) | 4.66410 | 0.327355 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.4741 | 1.08076 | ||||||||
\(206\) | −2.74983 | + | 11.4196i | −0.191590 | + | 0.795644i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.10196 | − | 4.29400i | −0.215082 | − | 0.297735i | ||||
\(209\) | −16.6114 | + | 16.4265i | −1.14904 | + | 1.13625i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.04383i | 0.484917i | 0.970162 | + | 0.242459i | \(0.0779539\pi\) | ||||
−0.970162 | + | 0.242459i | \(0.922046\pi\) | |||||||
\(212\) | 7.50738 | − | 14.6847i | 0.515609 | − | 1.00855i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.68466 | − | 11.1490i | 0.183519 | − | 0.762130i | ||||
\(215\) | 7.91096 | 0.539523 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 25.0870i | − | 1.70301i | ||||||
\(218\) | 23.0963 | + | 5.56155i | 1.56428 | + | 0.376676i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −12.6454 | + | 4.01171i | −0.852553 | + | 0.270469i | ||||
\(221\) | 2.24621i | 0.151097i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.3507i | 0.693132i | 0.938026 | + | 0.346566i | \(0.112652\pi\) | ||||
−0.938026 | + | 0.346566i | \(0.887348\pi\) | |||||||
\(224\) | −6.48490 | − | 15.8078i | −0.433291 | − | 1.05620i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.0138 | + | 2.41131i | 0.666109 | + | 0.160398i | ||||
\(227\) | 24.7442i | 1.64233i | 0.570690 | + | 0.821166i | \(0.306676\pi\) | ||||
−0.570690 | + | 0.821166i | \(0.693324\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.2306i | 1.27079i | 0.772187 | + | 0.635396i | \(0.219163\pi\) | ||||
−0.772187 | + | 0.635396i | \(0.780837\pi\) | |||||||
\(230\) | 8.58800 | + | 2.06798i | 0.566276 | + | 0.136358i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.31534 | − | 2.84329i | −0.217663 | − | 0.186671i | ||||
\(233\) | − | 19.8188i | − | 1.29837i | −0.760629 | − | 0.649187i | \(-0.775109\pi\) | ||
0.760629 | − | 0.649187i | \(-0.224891\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.0000 | −0.782794 | ||||||||
\(236\) | 21.2755 | + | 10.8769i | 1.38492 | + | 0.708026i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.69614 | + | 7.04383i | −0.109944 | + | 0.456584i | ||||
\(239\) | −7.91096 | −0.511718 | −0.255859 | − | 0.966714i | \(-0.582358\pi\) | ||||
−0.255859 | + | 0.966714i | \(0.582358\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 18.9103i | 1.21812i | 0.793125 | + | 0.609059i | \(0.208453\pi\) | ||||
−0.793125 | + | 0.609059i | \(0.791547\pi\) | |||||||
\(242\) | −3.81088 | + | 15.0823i | −0.244972 | + | 0.969530i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 14.4401 | + | 7.38235i | 0.924432 | + | 0.472606i | ||||
\(245\) | 4.24621i | 0.271280i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 9.32819i | − | 0.593539i | ||||||
\(248\) | −15.2933 | + | 17.8324i | −0.971126 | + | 1.13236i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.97292 | + | 16.4990i | −0.251270 | + | 1.04349i | ||||
\(251\) | −16.6114 | −1.04850 | −0.524252 | − | 0.851563i | \(-0.675655\pi\) | ||||
−0.524252 | + | 0.851563i | \(0.675655\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.36520 | − | 7.28323i | 0.463046 | − | 0.457893i | ||||
\(254\) | 3.13038 | + | 0.753789i | 0.196417 | + | 0.0472969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.02699 | + | 15.1898i | −0.314187 | + | 0.949361i | ||||
\(257\) | −25.9396 | −1.61807 | −0.809034 | − | 0.587761i | \(-0.800009\pi\) | ||||
−0.809034 | + | 0.587761i | \(0.800009\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 14.0877i | 0.875364i | ||||||||
\(260\) | 2.41131 | − | 4.71659i | 0.149543 | − | 0.292510i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.31534 | − | 5.46242i | 0.0812621 | − | 0.337470i | ||||
\(263\) | 20.2644 | 1.24955 | 0.624777 | − | 0.780803i | \(-0.285190\pi\) | ||||
0.624777 | + | 0.780803i | \(0.285190\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.4924 | 1.01312 | ||||||||
\(266\) | 7.04383 | − | 29.2520i | 0.431885 | − | 1.79356i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 11.1231 | + | 5.68658i | 0.679452 | + | 0.347363i | ||||
\(269\) | − | 16.2462i | − | 0.990549i | −0.868737 | − | 0.495274i | \(-0.835067\pi\) | ||
0.868737 | − | 0.495274i | \(-0.164933\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.41273 | −0.389546 | −0.194773 | − | 0.980848i | \(-0.562397\pi\) | ||||
−0.194773 | + | 0.980848i | \(0.562397\pi\) | |||||||
\(272\) | 5.49966 | − | 3.97292i | 0.333466 | − | 0.240894i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.0138 | − | 2.41131i | −0.604957 | − | 0.145672i | ||||
\(275\) | 2.33205 | + | 2.35829i | 0.140628 | + | 0.142211i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.71659 | 0.283392 | 0.141696 | − | 0.989910i | \(-0.454744\pi\) | ||||
0.141696 | + | 0.989910i | \(0.454744\pi\) | |||||||
\(278\) | 1.30957 | − | 5.43845i | 0.0785427 | − | 0.326176i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 11.1231 | − | 12.9698i | 0.664733 | − | 0.775094i | ||||
\(281\) | 15.6829i | 0.935562i | 0.883844 | + | 0.467781i | \(0.154946\pi\) | ||||
−0.883844 | + | 0.467781i | \(0.845054\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.9548i | 0.888970i | 0.895786 | + | 0.444485i | \(0.146613\pi\) | ||||
−0.895786 | + | 0.444485i | \(0.853387\pi\) | |||||||
\(284\) | 11.1490 | − | 21.8078i | 0.661571 | − | 1.29405i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.21222 | − | 5.31648i | −0.189943 | − | 0.314370i | ||||
\(287\) | 23.3693i | 1.37945i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.1231 | 0.830771 | ||||||||
\(290\) | 1.02248 | − | 4.24621i | 0.0600421 | − | 0.249346i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.81164 | − | 5.49966i | 0.164539 | − | 0.321843i | ||||
\(293\) | 6.36679 | 0.371952 | 0.185976 | − | 0.982554i | \(-0.440455\pi\) | ||||
0.185976 | + | 0.982554i | \(0.440455\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 23.8947i | 1.39120i | ||||||||
\(296\) | 8.58800 | − | 10.0138i | 0.499168 | − | 0.582041i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −17.2462 | − | 4.15286i | −0.999046 | − | 0.240568i | ||||
\(299\) | 4.13595i | 0.239188i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.9473i | 0.688633i | ||||||||
\(302\) | −9.83943 | − | 2.36932i | −0.566196 | − | 0.136339i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −22.8393 | + | 16.4990i | −1.30992 | + | 0.946281i | ||||
\(305\) | 16.2177i | 0.928625i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 18.0431i | − | 1.02978i | −0.857257 | − | 0.514888i | \(-0.827833\pi\) | ||
0.857257 | − | 0.514888i | \(-0.172167\pi\) | |||||||
\(308\) | −6.05858 | − | 19.0974i | −0.345220 | − | 1.08817i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −22.8393 | − | 5.49966i | −1.29718 | − | 0.312359i | ||||
\(311\) | − | 4.87689i | − | 0.276543i | −0.990394 | − | 0.138272i | \(-0.955845\pi\) | ||
0.990394 | − | 0.138272i | \(-0.0441547\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.12311 | 0.176528 | 0.0882642 | − | 0.996097i | \(-0.471868\pi\) | ||||
0.0882642 | + | 0.996097i | \(0.471868\pi\) | |||||||
\(314\) | 2.41131 | − | 10.0138i | 0.136078 | − | 0.565112i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −22.1771 | − | 11.3378i | −1.24756 | − | 0.637803i | ||||
\(317\) | 10.4924i | 0.589313i | 0.955603 | + | 0.294657i | \(0.0952053\pi\) | ||||
−0.955603 | + | 0.294657i | \(0.904795\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.60109 | − | 3.64162i | −0.201622 | − | 0.203891i | ||||
\(320\) | −15.8131 | + | 2.43845i | −0.883979 | + | 0.136313i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.12311 | + | 12.9698i | −0.174044 | + | 0.722779i | ||||
\(323\) | 11.9473 | 0.664767 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.32431 | −0.0734593 | ||||||||
\(326\) | −28.1753 | − | 6.78456i | −1.56049 | − | 0.375762i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 14.2462 | − | 16.6114i | 0.786615 | − | 0.917212i | ||||
\(329\) | − | 18.1227i | − | 0.999136i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.2462 | 1.00290 | 0.501451 | − | 0.865186i | \(-0.332800\pi\) | ||||
0.501451 | + | 0.865186i | \(0.332800\pi\) | |||||||
\(332\) | 4.29400 | − | 8.39919i | 0.235664 | − | 0.460965i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 19.3693 | + | 4.66410i | 1.05984 | + | 0.255208i | ||||
\(335\) | 12.4924i | 0.682534i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 31.2637i | 1.70304i | 0.524322 | + | 0.851520i | \(0.324319\pi\) | ||||
−0.524322 | + | 0.851520i | \(0.675681\pi\) | |||||||
\(338\) | −15.4626 | − | 3.72336i | −0.841053 | − | 0.202524i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.04090 | + | 3.08835i | 0.327614 | + | 0.167489i | ||||
\(341\) | −19.5873 | + | 19.3693i | −1.06071 | + | 1.04891i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.7304 | 0.795367 | ||||||||
\(344\) | 7.28323 | − | 8.49242i | 0.392686 | − | 0.457881i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.2462 | + | 4.15286i | 0.927162 | + | 0.223259i | ||||
\(347\) | 20.9343i | 1.12381i | 0.827200 | + | 0.561907i | \(0.189932\pi\) | ||||
−0.827200 | + | 0.561907i | \(0.810068\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.3110 | −0.819581 | −0.409791 | − | 0.912180i | \(-0.634398\pi\) | ||||
−0.409791 | + | 0.912180i | \(0.634398\pi\) | |||||||
\(350\) | −4.15286 | − | 1.00000i | −0.221979 | − | 0.0534522i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.33542 | + | 17.2682i | −0.390979 | + | 0.920399i | ||||
\(353\) | −9.32819 | −0.496490 | −0.248245 | − | 0.968697i | \(-0.579854\pi\) | ||||
−0.248245 | + | 0.968697i | \(0.579854\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 24.4924 | 1.29992 | ||||||||
\(356\) | 29.5812 | + | 15.1231i | 1.56780 | + | 0.801523i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −36.0863 | −1.90456 | −0.952281 | − | 0.305224i | \(-0.901269\pi\) | ||||
−0.952281 | + | 0.305224i | \(0.901269\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −30.6155 | −1.61134 | ||||||||
\(362\) | 8.58800 | − | 35.6647i | 0.451375 | − | 1.87450i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.12311 | + | 3.64162i | 0.373352 | + | 0.190873i | ||||
\(365\) | 6.17669 | 0.323303 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.26075i | 0.326809i | 0.986559 | + | 0.163404i | \(0.0522475\pi\) | ||||
−0.986559 | + | 0.163404i | \(0.947753\pi\) | |||||||
\(368\) | 10.1265 | − | 7.31534i | 0.527881 | − | 0.381339i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 12.8255 | + | 3.08835i | 0.666764 | + | 0.160556i | ||||
\(371\) | 24.9073i | 1.29312i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −23.5829 | −1.22108 | −0.610539 | − | 0.791986i | \(-0.709047\pi\) | ||||
−0.610539 | + | 0.791986i | \(0.709047\pi\) | |||||||
\(374\) | 6.80922 | − | 4.11414i | 0.352097 | − | 0.212737i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −11.0478 | + | 12.8820i | −0.569747 | + | 0.664339i | ||||
\(377\) | 2.04496 | 0.105321 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.24621 | 0.115380 | 0.0576901 | − | 0.998335i | \(-0.481626\pi\) | ||||
0.0576901 | + | 0.998335i | \(0.481626\pi\) | |||||||
\(380\) | −25.0870 | − | 12.8255i | −1.28693 | − | 0.657932i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.40582 | + | 5.83817i | −0.0719281 | + | 0.298707i | ||||
\(383\) | − | 25.3693i | − | 1.29631i | −0.761508 | − | 0.648156i | \(-0.775541\pi\) | ||
0.761508 | − | 0.648156i | \(-0.224459\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.2462 | − | 14.0877i | 0.726054 | − | 0.717974i | ||||
\(386\) | 8.30571 | − | 34.4924i | 0.422750 | − | 1.75562i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −23.8078 | − | 12.1715i | −1.20866 | − | 0.617913i | ||||
\(389\) | 2.49242i | 0.126371i | 0.998002 | + | 0.0631854i | \(0.0201260\pi\) | ||||
−0.998002 | + | 0.0631854i | \(0.979874\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.29723 | −0.267892 | ||||||||
\(392\) | 4.55831 | + | 3.90928i | 0.230229 | + | 0.197448i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 21.4924 | + | 5.17534i | 1.08277 | + | 0.260730i | ||||
\(395\) | − | 24.9073i | − | 1.25322i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.9923i | 0.702253i | 0.936328 | + | 0.351126i | \(0.114201\pi\) | ||||
−0.936328 | + | 0.351126i | \(0.885799\pi\) | |||||||
\(398\) | −0.338519 | + | 1.40582i | −0.0169684 | + | 0.0704675i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.34233 | + | 3.24245i | 0.117116 | + | 0.162123i | ||||
\(401\) | −18.6564 | −0.931655 | −0.465828 | − | 0.884875i | \(-0.654243\pi\) | ||||
−0.465828 | + | 0.884875i | \(0.654243\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 10.9993i | − | 0.547915i | ||||||
\(404\) | 2.74983 | + | 1.40582i | 0.136809 | + | 0.0699422i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.41273 | + | 1.54417i | 0.318258 | + | 0.0766360i | ||||
\(407\) | 10.9993 | − | 10.8769i | 0.545216 | − | 0.539148i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.17669i | 0.305418i | 0.988271 | + | 0.152709i | \(0.0487997\pi\) | ||||
−0.988271 | + | 0.152709i | \(0.951200\pi\) | |||||||
\(410\) | 21.2755 | + | 5.12311i | 1.05072 | + | 0.253012i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.56155 | + | 14.7906i | −0.372531 | + | 0.728681i | ||||
\(413\) | −36.0863 | −1.77569 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.43318 | 0.463056 | ||||||||
\(416\) | −2.84329 | − | 6.93087i | −0.139404 | − | 0.339814i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −28.2777 | + | 17.0854i | −1.38311 | + | 0.835676i | ||||
\(419\) | −16.6114 | −0.811521 | −0.405761 | − | 0.913979i | \(-0.632993\pi\) | ||||
−0.405761 | + | 0.913979i | \(0.632993\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 7.28323i | − | 0.354963i | −0.984124 | − | 0.177481i | \(-0.943205\pi\) | ||
0.984124 | − | 0.177481i | \(-0.0567950\pi\) | |||||||
\(422\) | −2.33205 | + | 9.68466i | −0.113522 | + | 0.471442i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.1838 | − | 17.7046i | 0.737388 | − | 0.859812i | ||||
\(425\) | − | 1.69614i | − | 0.0822749i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −24.4924 | −1.18527 | ||||||||
\(428\) | 7.38235 | − | 14.4401i | 0.356839 | − | 0.697988i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 10.8769 | + | 2.61914i | 0.524530 | + | 0.126306i | ||||
\(431\) | 28.1753 | 1.35716 | 0.678579 | − | 0.734528i | \(-0.262596\pi\) | ||||
0.678579 | + | 0.734528i | \(0.262596\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.1231 | −0.726770 | −0.363385 | − | 0.931639i | \(-0.618379\pi\) | ||||
−0.363385 | + | 0.931639i | \(0.618379\pi\) | |||||||
\(434\) | 8.30571 | − | 34.4924i | 0.398687 | − | 1.65569i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 29.9142 | + | 15.2933i | 1.43263 | + | 0.732417i | ||||
\(437\) | 21.9986 | 1.05234 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.0481 | −1.10002 | −0.550012 | − | 0.835156i | \(-0.685377\pi\) | ||||
−0.550012 | + | 0.835156i | \(0.685377\pi\) | |||||||
\(440\) | −18.7145 | + | 1.32916i | −0.892180 | + | 0.0633651i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.743668 | + | 3.08835i | −0.0353727 | + | 0.146898i | ||||
\(443\) | −4.66410 | −0.221598 | −0.110799 | − | 0.993843i | \(-0.535341\pi\) | ||||
−0.110799 | + | 0.993843i | \(0.535341\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 33.2228i | 1.57491i | ||||||||
\(446\) | −3.42687 | + | 14.2313i | −0.162267 | + | 0.673871i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.68260 | − | 23.8813i | −0.173987 | − | 1.12829i | ||||
\(449\) | −2.04496 | −0.0965076 | −0.0482538 | − | 0.998835i | \(-0.515366\pi\) | ||||
−0.0482538 | + | 0.998835i | \(0.515366\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.2462 | − | 18.0431i | 0.859181 | − | 0.849618i | ||||
\(452\) | 12.9698 | + | 6.63068i | 0.610048 | + | 0.311881i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.19224 | + | 34.0212i | −0.384481 | + | 1.59669i | ||||
\(455\) | 8.00000i | 0.375046i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.1753i | 1.31799i | 0.752149 | + | 0.658993i | \(0.229017\pi\) | ||||
−0.752149 | + | 0.658993i | \(0.770983\pi\) | |||||||
\(458\) | −6.36679 | + | 26.4404i | −0.297501 | + | 1.23548i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.1231 | + | 5.68658i | 0.518617 | + | 0.265138i | ||||
\(461\) | 32.8078 | 1.52801 | 0.764007 | − | 0.645208i | \(-0.223229\pi\) | ||||
0.764007 | + | 0.645208i | \(0.223229\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 34.2453i | − | 1.59152i | −0.605615 | − | 0.795758i | \(-0.707073\pi\) | ||
0.605615 | − | 0.795758i | \(-0.292927\pi\) | |||||||
\(464\) | −3.61696 | − | 5.00691i | −0.167913 | − | 0.232440i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.56155 | − | 27.2492i | 0.303958 | − | 1.26229i | ||||
\(467\) | 4.66410 | 0.215829 | 0.107914 | − | 0.994160i | \(-0.465583\pi\) | ||||
0.107914 | + | 0.994160i | \(0.465583\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.8664 | −0.871167 | ||||||||
\(470\) | −16.4990 | − | 3.97292i | −0.761041 | − | 0.183257i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 25.6509 | + | 21.9986i | 1.18068 | + | 1.01257i | ||||
\(473\) | 9.32819 | − | 9.22437i | 0.428911 | − | 0.424137i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.04383i | 0.323193i | ||||||||
\(476\) | −4.66410 | + | 9.12311i | −0.213778 | + | 0.418157i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.8769 | − | 2.61914i | −0.497498 | − | 0.119796i | ||||
\(479\) | 21.9986 | 1.00514 | 0.502571 | − | 0.864536i | \(-0.332387\pi\) | ||||
0.502571 | + | 0.864536i | \(0.332387\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.17669i | 0.281633i | ||||||||
\(482\) | −6.26075 | + | 26.0000i | −0.285169 | + | 1.18427i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.2330 | + | 19.4752i | −0.465138 | + | 0.885238i | ||||
\(485\) | − | 26.7386i | − | 1.21414i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 32.2004i | − | 1.45914i | −0.683907 | − | 0.729569i | \(-0.739721\pi\) | ||
0.683907 | − | 0.729569i | \(-0.260279\pi\) | |||||||
\(488\) | 17.4098 | + | 14.9309i | 0.788102 | + | 0.675889i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.40582 | + | 5.83817i | −0.0635086 | + | 0.263742i | ||||
\(491\) | 9.27015i | 0.418356i | 0.977878 | + | 0.209178i | \(0.0670788\pi\) | ||||
−0.977878 | + | 0.209178i | \(0.932921\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.61914i | 0.117960i | ||||||||
\(494\) | 3.08835 | − | 12.8255i | 0.138951 | − | 0.577045i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −26.9309 | + | 19.4547i | −1.20923 | + | 0.873542i | ||||
\(497\) | 36.9890i | 1.65919i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.7386 | −0.659792 | −0.329896 | − | 0.944017i | \(-0.607014\pi\) | ||||
−0.329896 | + | 0.944017i | \(0.607014\pi\) | |||||||
\(500\) | −10.9248 | + | 21.3693i | −0.488574 | + | 0.955665i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −22.8393 | − | 5.49966i | −1.01937 | − | 0.245462i | ||||
\(503\) | −28.1753 | −1.25628 | −0.628138 | − | 0.778102i | \(-0.716183\pi\) | ||||
−0.628138 | + | 0.778102i | \(0.716183\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.08835i | 0.137430i | ||||||||
\(506\) | 12.5378 | − | 7.57537i | 0.557374 | − | 0.336766i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.05444 | + | 2.07279i | 0.179886 | + | 0.0919652i | ||||
\(509\) | 10.0000i | 0.443242i | 0.975133 | + | 0.221621i | \(0.0711348\pi\) | ||||
−0.975133 | + | 0.221621i | \(0.928865\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.32819i | 0.412655i | ||||||||
\(512\) | −11.9407 | + | 19.2203i | −0.527707 | + | 0.849426i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −35.6647 | − | 8.58800i | −1.57310 | − | 0.378801i | ||||
\(515\) | −16.6114 | −0.731987 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.1498 | + | 13.9923i | −0.622306 | + | 0.615380i | ||||
\(518\) | −4.66410 | + | 19.3693i | −0.204929 | + | 0.851039i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.87689 | − | 5.68658i | 0.213866 | − | 0.249373i | ||||
\(521\) | 18.6564 | 0.817351 | 0.408675 | − | 0.912680i | \(-0.365991\pi\) | ||||
0.408675 | + | 0.912680i | \(0.365991\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 25.9541i | 1.13489i | 0.823410 | + | 0.567447i | \(0.192069\pi\) | ||||
−0.823410 | + | 0.567447i | \(0.807931\pi\) | |||||||
\(524\) | 3.61696 | − | 7.07488i | 0.158008 | − | 0.309068i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27.8617 | + | 6.70906i | 1.21483 | + | 0.292529i | ||||
\(527\) | 14.0877 | 0.613668 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.2462 | 0.575922 | ||||||||
\(530\) | 22.6757 | + | 5.46026i | 0.984968 | + | 0.237178i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 19.3693 | − | 37.8869i | 0.839766 | − | 1.64261i | ||||
\(533\) | 10.2462i | 0.443813i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.2177 | 0.701154 | ||||||||
\(536\) | 13.4106 | + | 11.5012i | 0.579251 | + | 0.496774i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.37874 | − | 22.3371i | 0.231894 | − | 0.963023i | ||||
\(539\) | 4.95118 | + | 5.00691i | 0.213263 | + | 0.215663i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.0138 | 0.430528 | 0.215264 | − | 0.976556i | \(-0.430939\pi\) | ||||
0.215264 | + | 0.976556i | \(0.430939\pi\) | |||||||
\(542\) | −8.81695 | − | 2.12311i | −0.378720 | − | 0.0911952i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.87689 | − | 3.64162i | 0.380594 | − | 0.156133i | ||||
\(545\) | 33.5968i | 1.43913i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.867135i | 0.0370760i | 0.999828 | + | 0.0185380i | \(0.00590117\pi\) | ||||
−0.999828 | + | 0.0185380i | \(0.994099\pi\) | |||||||
\(548\) | −12.9698 | − | 6.63068i | −0.554043 | − | 0.283249i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.42559 | + | 4.01454i | 0.103427 | + | 0.171181i | ||||
\(551\) | − | 10.8769i | − | 0.463371i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 37.6155 | 1.59957 | ||||||||
\(554\) | 6.48490 | + | 1.56155i | 0.275517 | + | 0.0663440i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.60109 | − | 7.04383i | 0.152720 | − | 0.298725i | ||||
\(557\) | 28.3654 | 1.20188 | 0.600941 | − | 0.799294i | \(-0.294793\pi\) | ||||
0.600941 | + | 0.799294i | \(0.294793\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.23827i | 0.221555i | ||||||||
\(560\) | 19.5873 | − | 14.1498i | 0.827715 | − | 0.597937i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.19224 | + | 21.5626i | −0.219021 | + | 0.909564i | ||||
\(563\) | − | 38.3134i | − | 1.61472i | −0.590062 | − | 0.807358i | \(-0.700897\pi\) | ||
0.590062 | − | 0.807358i | \(-0.299103\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.5665i | 0.612816i | ||||||||
\(566\) | −4.95118 | + | 20.5616i | −0.208114 | + | 0.864267i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 22.5490 | − | 26.2926i | 0.946133 | − | 1.10321i | ||||
\(569\) | − | 24.3724i | − | 1.02174i | −0.859657 | − | 0.510872i | \(-0.829323\pi\) | ||
0.859657 | − | 0.510872i | \(-0.170677\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 10.1322i | − | 0.424018i | −0.977268 | − | 0.212009i | \(-0.931999\pi\) | ||
0.977268 | − | 0.212009i | \(-0.0680007\pi\) | |||||||
\(572\) | −2.65637 | − | 8.37320i | −0.111068 | − | 0.350101i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.73704 | + | 32.1308i | −0.322938 | + | 1.34111i | ||||
\(575\) | − | 3.12311i | − | 0.130243i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.24621 | −0.343294 | −0.171647 | − | 0.985158i | \(-0.554909\pi\) | ||||
−0.171647 | + | 0.985158i | \(0.554909\pi\) | |||||||
\(578\) | 19.4181 | + | 4.67583i | 0.807685 | + | 0.194489i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.81164 | − | 5.49966i | 0.116747 | − | 0.228361i | ||||
\(581\) | 14.2462i | 0.591032i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 19.4470 | − | 19.2306i | 0.805412 | − | 0.796448i | ||||
\(584\) | 5.68658 | − | 6.63068i | 0.235312 | − | 0.274380i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.75379 | + | 2.10790i | 0.361616 | + | 0.0870764i | ||||
\(587\) | −26.5138 | −1.09434 | −0.547171 | − | 0.837021i | \(-0.684295\pi\) | ||||
−0.547171 | + | 0.837021i | \(0.684295\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −58.5040 | −2.41062 | ||||||||
\(590\) | −7.91096 | + | 32.8531i | −0.325689 | + | 1.35254i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 15.1231 | − | 10.9248i | 0.621556 | − | 0.449008i | ||||
\(593\) | − | 19.0752i | − | 0.783323i | −0.920109 | − | 0.391661i | \(-0.871900\pi\) | ||
0.920109 | − | 0.391661i | \(-0.128100\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.2462 | −0.420054 | ||||||||
\(596\) | −22.3371 | − | 11.4196i | −0.914965 | − | 0.467767i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.36932 | + | 5.68658i | −0.0559955 | + | 0.232541i | ||||
\(599\) | 33.3693i | 1.36343i | 0.731616 | + | 0.681717i | \(0.238766\pi\) | ||||
−0.731616 | + | 0.681717i | \(0.761234\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 31.2637i | − | 1.27527i | −0.770338 | − | 0.637636i | \(-0.779913\pi\) | ||
0.770338 | − | 0.637636i | \(-0.220087\pi\) | |||||||
\(602\) | −3.95548 | + | 16.4265i | −0.161213 | + | 0.669496i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −12.7439 | − | 6.51521i | −0.518544 | − | 0.265100i | ||||
\(605\) | −21.9986 | − | 0.246211i | −0.894371 | − | 0.0100099i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 32.8073 | 1.33161 | 0.665804 | − | 0.746127i | \(-0.268089\pi\) | ||||
0.665804 | + | 0.746127i | \(0.268089\pi\) | |||||||
\(608\) | −36.8645 | + | 15.1231i | −1.49505 | + | 0.613323i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.36932 | + | 22.2980i | −0.217397 | + | 0.902820i | ||||
\(611\) | − | 7.94584i | − | 0.321454i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.7033 | 0.755420 | 0.377710 | − | 0.925924i | \(-0.376712\pi\) | ||||
0.377710 | + | 0.925924i | \(0.376712\pi\) | |||||||
\(614\) | 5.97366 | − | 24.8078i | 0.241077 | − | 1.00116i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.00733 | − | 28.2631i | −0.0808775 | − | 1.13875i | ||||
\(617\) | 11.3732 | 0.457866 | 0.228933 | − | 0.973442i | \(-0.426476\pi\) | ||||
0.228933 | + | 0.973442i | \(0.426476\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.4924 | 0.984434 | 0.492217 | − | 0.870473i | \(-0.336187\pi\) | ||||
0.492217 | + | 0.870473i | \(0.336187\pi\) | |||||||
\(620\) | −29.5812 | − | 15.1231i | −1.18801 | − | 0.607359i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.61463 | − | 6.70531i | 0.0647406 | − | 0.268858i | ||||
\(623\) | −50.1739 | −2.01018 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 4.29400 | + | 1.03399i | 0.171623 | + | 0.0413265i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.63068 | − | 12.9698i | 0.264593 | − | 0.517552i | ||||
\(629\) | −7.91096 | −0.315431 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 10.3507i | − | 0.412054i | −0.978546 | − | 0.206027i | \(-0.933947\pi\) | ||
0.978546 | − | 0.206027i | \(-0.0660534\pi\) | |||||||
\(632\) | −26.7379 | − | 22.9309i | −1.06358 | − | 0.912141i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.47380 | + | 14.4262i | −0.137962 | + | 0.572937i | ||||
\(635\) | 4.55356i | 0.180702i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.81164 | −0.111401 | ||||||||
\(638\) | −3.74553 | − | 6.19914i | −0.148287 | − | 0.245426i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.5490 | − | 1.88269i | −0.891326 | − | 0.0744200i | ||||
\(641\) | −42.5510 | −1.68066 | −0.840332 | − | 0.542071i | \(-0.817640\pi\) | ||||
−0.840332 | + | 0.542071i | \(0.817640\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −28.9848 | −1.14305 | −0.571525 | − | 0.820584i | \(-0.693648\pi\) | ||||
−0.571525 | + | 0.820584i | \(0.693648\pi\) | |||||||
\(644\) | −8.58800 | + | 16.7984i | −0.338415 | + | 0.661949i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.4265 | + | 3.95548i | 0.646294 | + | 0.155626i | ||||
\(647\) | 36.8769i | 1.44978i | 0.688864 | + | 0.724890i | \(0.258110\pi\) | ||||
−0.688864 | + | 0.724890i | \(0.741890\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.8617 | + | 28.1753i | 1.09367 | + | 1.10598i | ||||
\(650\) | −1.82081 | − | 0.438447i | −0.0714180 | − | 0.0171973i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −36.4924 | − | 18.6564i | −1.42915 | − | 0.730640i | ||||
\(653\) | − | 42.9848i | − | 1.68213i | −0.540936 | − | 0.841063i | \(-0.681930\pi\) | ||
0.540936 | − | 0.841063i | \(-0.318070\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.94584 | 0.310470 | ||||||||
\(656\) | 25.0870 | − | 18.1227i | 0.979482 | − | 0.707572i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.00000 | − | 24.9171i | 0.233904 | − | 0.971371i | ||||
\(659\) | − | 10.7575i | − | 0.419052i | −0.977803 | − | 0.209526i | \(-0.932808\pi\) | ||
0.977803 | − | 0.209526i | \(-0.0671921\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.3732i | 0.442364i | 0.975233 | + | 0.221182i | \(0.0709915\pi\) | ||||
−0.975233 | + | 0.221182i | \(0.929008\pi\) | |||||||
\(662\) | 25.0870 | + | 6.04090i | 0.975033 | + | 0.234786i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.68466 | − | 10.1265i | 0.337030 | − | 0.392985i | ||||
\(665\) | 42.5510 | 1.65006 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.82262i | 0.186732i | ||||||||
\(668\) | 25.0870 | + | 12.8255i | 0.970644 | + | 0.496232i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.13595 | + | 17.1760i | −0.159786 | + | 0.663567i | ||||
\(671\) | 18.9103 | + | 19.1231i | 0.730023 | + | 0.738239i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 21.9986i | − | 0.847985i | −0.905666 | − | 0.423992i | \(-0.860628\pi\) | ||
0.905666 | − | 0.423992i | \(-0.139372\pi\) | |||||||
\(674\) | −10.3507 | + | 42.9848i | −0.398693 | + | 1.65571i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −20.0270 | − | 10.2386i | −0.770269 | − | 0.393792i | ||||
\(677\) | −34.5421 | −1.32756 | −0.663781 | − | 0.747927i | \(-0.731049\pi\) | ||||
−0.663781 | + | 0.747927i | \(0.731049\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 40.3813 | 1.54969 | ||||||||
\(680\) | 7.28323 | + | 6.24621i | 0.279299 | + | 0.239531i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −33.3436 | + | 20.1462i | −1.27679 | + | 0.771439i | ||||
\(683\) | 49.8343 | 1.90686 | 0.953428 | − | 0.301622i | \(-0.0975280\pi\) | ||||
0.953428 | + | 0.301622i | \(0.0975280\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 14.5665i | − | 0.556556i | ||||||
\(686\) | 20.2530 | + | 4.87689i | 0.773265 | + | 0.186201i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 12.8255 | − | 9.26504i | 0.488966 | − | 0.353226i | ||||
\(689\) | 10.9205i | 0.416038i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.0000 | −1.06517 | −0.532585 | − | 0.846376i | \(-0.678779\pi\) | ||||
−0.532585 | + | 0.846376i | \(0.678779\pi\) | |||||||
\(692\) | 22.3371 | + | 11.4196i | 0.849131 | + | 0.434110i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.93087 | + | 28.7829i | −0.263092 | + | 1.09258i | ||||
\(695\) | 7.91096 | 0.300080 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.1231 | −0.497073 | ||||||||
\(698\) | −21.0514 | − | 5.06913i | −0.796806 | − | 0.191869i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.37874 | − | 2.74983i | −0.203297 | − | 0.103934i | ||||
\(701\) | 6.36679 | 0.240470 | 0.120235 | − | 0.992745i | \(-0.461635\pi\) | ||||
0.120235 | + | 0.992745i | \(0.461635\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 32.8531 | 1.23908 | ||||||||
\(704\) | −15.8027 | + | 21.3137i | −0.595586 | + | 0.803292i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.8255 | − | 3.08835i | −0.482693 | − | 0.116231i | ||||
\(707\) | −4.66410 | −0.175411 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.9923i | 0.525491i | 0.964865 | + | 0.262746i | \(0.0846280\pi\) | ||||
−0.964865 | + | 0.262746i | \(0.915372\pi\) | |||||||
\(710\) | 33.6750 | + | 8.10887i | 1.26380 | + | 0.304321i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 35.6647 | + | 30.5866i | 1.33659 | + | 1.14628i | ||||
\(713\) | 25.9396 | 0.971446 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.24621 | − | 6.17669i | 0.233595 | − | 0.230995i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −49.6155 | − | 11.9473i | −1.85164 | − | 0.445870i | ||||
\(719\) | − | 50.9848i | − | 1.90141i | −0.310091 | − | 0.950707i | \(-0.600359\pi\) | ||
0.310091 | − | 0.950707i | \(-0.399641\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 25.0870i | − | 0.934288i | ||||||
\(722\) | −42.0937 | − | 10.1361i | −1.56657 | − | 0.377226i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 23.6155 | − | 46.1927i | 0.877664 | − | 1.71674i | ||||
\(725\) | −1.54417 | −0.0573492 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.02248i | 0.0379217i | 0.999820 | + | 0.0189608i | \(0.00603578\pi\) | ||||
−0.999820 | + | 0.0189608i | \(0.993964\pi\) | |||||||
\(728\) | 8.58800 | + | 7.36520i | 0.318293 | + | 0.272973i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.49242 | + | 2.04496i | 0.314319 | + | 0.0756874i | ||||
\(731\) | −6.70906 | −0.248143 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.6371 | −0.577570 | −0.288785 | − | 0.957394i | \(-0.593251\pi\) | ||||
−0.288785 | + | 0.957394i | \(0.593251\pi\) | |||||||
\(734\) | −2.07279 | + | 8.60799i | −0.0765080 | + | 0.317727i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 16.3450 | − | 6.70531i | 0.602486 | − | 0.247161i | ||||
\(737\) | 14.5665 | + | 14.7304i | 0.536563 | + | 0.542601i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 35.2191i | − | 1.29556i | −0.761829 | − | 0.647779i | \(-0.775698\pi\) | ||
0.761829 | − | 0.647779i | \(-0.224302\pi\) | |||||||
\(740\) | 16.6114 | + | 8.49242i | 0.610648 | + | 0.312188i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −8.24621 | + | 34.2453i | −0.302728 | + | 1.25719i | ||||
\(743\) | 15.8219 | 0.580450 | 0.290225 | − | 0.956958i | \(-0.406270\pi\) | ||||
0.290225 | + | 0.956958i | \(0.406270\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 25.0870i | − | 0.919115i | ||||||
\(746\) | −32.4245 | − | 7.80776i | −1.18715 | − | 0.285863i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.7242 | − | 3.40221i | 0.392115 | − | 0.124397i | ||||
\(749\) | 24.4924i | 0.894934i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 48.8118i | − | 1.78117i | −0.454819 | − | 0.890584i | \(-0.650296\pi\) | ||
0.454819 | − | 0.890584i | \(-0.349704\pi\) | |||||||
\(752\) | −19.4547 | + | 14.0540i | −0.709440 | + | 0.512496i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.81164 | + | 0.677039i | 0.102394 | + | 0.0246563i | ||||
\(755\) | − | 14.3128i | − | 0.520896i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.5061i | 1.47222i | 0.676863 | + | 0.736109i | \(0.263339\pi\) | ||||
−0.676863 | + | 0.736109i | \(0.736661\pi\) | |||||||
\(758\) | 3.08835 | + | 0.743668i | 0.112174 | + | 0.0270112i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −30.2462 | − | 25.9396i | −1.09715 | − | 0.940929i | ||||
\(761\) | − | 42.8211i | − | 1.55226i | −0.630570 | − | 0.776132i | \(-0.717179\pi\) | ||
0.630570 | − | 0.776132i | \(-0.282821\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −50.7386 | −1.83686 | ||||||||
\(764\) | −3.86577 | + | 7.56155i | −0.139859 | + | 0.273567i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.39919 | − | 34.8806i | 0.303475 | − | 1.26029i | ||||
\(767\) | −15.8219 | −0.571297 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.26504i | 0.334106i | 0.985948 | + | 0.167053i | \(0.0534251\pi\) | ||||
−0.985948 | + | 0.167053i | \(0.946575\pi\) | |||||||
\(770\) | 24.2514 | − | 14.6527i | 0.873960 | − | 0.528048i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.8393 | − | 44.6743i | 0.822004 | − | 1.60786i | ||||
\(773\) | − | 33.2311i | − | 1.19524i | −0.801780 | − | 0.597619i | \(-0.796114\pi\) | ||
0.801780 | − | 0.597619i | \(-0.203886\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.30571i | 0.298350i | ||||||||
\(776\) | −28.7039 | − | 24.6169i | −1.03041 | − | 0.883696i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.825183 | + | 3.42687i | −0.0295842 | + | 0.122859i | ||||
\(779\) | 54.4984 | 1.95261 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 28.8802 | − | 28.5588i | 1.03341 | − | 1.02191i | ||||
\(782\) | −7.28323 | − | 1.75379i | −0.260448 | − | 0.0627154i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.97301 | + | 6.88407i | 0.177608 | + | 0.245860i | ||||
\(785\) | 14.5665 | 0.519899 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 30.3965i | − | 1.08352i | −0.840533 | − | 0.541760i | \(-0.817758\pi\) | ||
0.840533 | − | 0.541760i | \(-0.182242\pi\) | |||||||
\(788\) | 27.8368 | + | 14.2313i | 0.991645 | + | 0.506968i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.24621 | − | 34.2453i | 0.293387 | − | 1.21839i | ||||
\(791\) | −21.9986 | −0.782181 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.7386 | −0.381340 | ||||||||
\(794\) | −4.63252 | + | 19.2382i | −0.164402 | + | 0.682738i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.930870 | + | 1.82081i | −0.0329938 | + | 0.0645368i | ||||
\(797\) | 28.2462i | 1.00053i | 0.865872 | + | 0.500266i | \(0.166764\pi\) | ||||
−0.865872 | + | 0.500266i | \(0.833236\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.1768 | 0.360031 | ||||||||
\(800\) | 2.14700 | + | 5.23358i | 0.0759079 | + | 0.185035i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −25.6509 | − | 6.17669i | −0.905765 | − | 0.218107i | ||||
\(803\) | 7.28323 | − | 7.20217i | 0.257020 | − | 0.254159i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −18.8664 | −0.664952 | ||||||||
\(806\) | 3.64162 | − | 15.1231i | 0.128270 | − | 0.532689i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.31534 | + | 2.84329i | 0.116633 | + | 0.100027i | ||||
\(809\) | − | 31.4830i | − | 1.10688i | −0.832888 | − | 0.553442i | \(-0.813314\pi\) | ||
0.832888 | − | 0.553442i | \(-0.186686\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 11.8664i | − | 0.416687i | −0.978056 | − | 0.208344i | \(-0.933193\pi\) | ||
0.978056 | − | 0.208344i | \(-0.0668072\pi\) | |||||||
\(812\) | 8.30571 | + | 4.24621i | 0.291473 | + | 0.149013i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 18.7242 | − | 11.3132i | 0.656283 | − | 0.396527i | ||||
\(815\) | − | 40.9848i | − | 1.43564i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 27.8617 | 0.974759 | ||||||||
\(818\) | −2.04496 | + | 8.49242i | −0.0715003 | + | 0.296931i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 27.5559 | + | 14.0877i | 0.962293 | + | 0.491962i | ||||
\(821\) | 31.4538 | 1.09774 | 0.548872 | − | 0.835906i | \(-0.315057\pi\) | ||||
0.548872 | + | 0.835906i | \(0.315057\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 45.6185i | − | 1.59016i | −0.606504 | − | 0.795080i | \(-0.707429\pi\) | ||
0.606504 | − | 0.795080i | \(-0.292571\pi\) | |||||||
\(824\) | −15.2933 | + | 17.8324i | −0.532768 | + | 0.621220i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −49.6155 | − | 11.9473i | −1.72635 | − | 0.415701i | ||||
\(827\) | − | 5.13420i | − | 0.178534i | −0.996008 | − | 0.0892668i | \(-0.971548\pi\) | ||
0.996008 | − | 0.0892668i | \(-0.0284524\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.2306i | 0.667905i | 0.942590 | + | 0.333952i | \(0.108383\pi\) | ||||
−0.942590 | + | 0.333952i | \(0.891617\pi\) | |||||||
\(830\) | 12.9698 | + | 3.12311i | 0.450189 | + | 0.108405i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.61463 | − | 10.4707i | −0.0559771 | − | 0.363006i | ||||
\(833\) | − | 3.60109i | − | 0.124770i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 28.1753i | 0.975047i | ||||||||
\(836\) | −44.5360 | + | 14.1289i | −1.54031 | + | 0.488658i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −22.8393 | − | 5.49966i | −0.788970 | − | 0.189982i | ||||
\(839\) | − | 27.1231i | − | 0.936394i | −0.883624 | − | 0.468197i | \(-0.844904\pi\) | ||
0.883624 | − | 0.468197i | \(-0.155096\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.6155 | −0.917777 | ||||||||
\(842\) | 2.41131 | − | 10.0138i | 0.0830992 | − | 0.345099i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.41273 | + | 12.5435i | −0.220735 | + | 0.431765i | ||||
\(845\) | − | 22.4924i | − | 0.773763i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.371834 | − | 33.2228i | 0.0127764 | − | 1.14155i | ||||
\(848\) | 26.7379 | − | 19.3153i | 0.918185 | − | 0.663292i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.561553 | − | 2.33205i | 0.0192611 | − | 0.0799886i | ||||
\(851\) | −14.5665 | −0.499332 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 43.6106 | 1.49320 | 0.746599 | − | 0.665274i | \(-0.231685\pi\) | ||||
0.746599 | + | 0.665274i | \(0.231685\pi\) | |||||||
\(854\) | −33.6750 | − | 8.10887i | −1.15233 | − | 0.277480i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.9309 | − | 17.4098i | 0.510327 | − | 0.595053i | ||||
\(857\) | − | 26.6034i | − | 0.908755i | −0.890809 | − | 0.454377i | \(-0.849862\pi\) | ||
0.890809 | − | 0.454377i | \(-0.150138\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.0000 | 0.818869 | 0.409435 | − | 0.912339i | \(-0.365726\pi\) | ||||
0.409435 | + | 0.912339i | \(0.365726\pi\) | |||||||
\(860\) | 14.0877 | + | 7.20217i | 0.480385 | + | 0.245592i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 38.7386 | + | 9.32819i | 1.31944 | + | 0.317719i | ||||
\(863\) | − | 42.3542i | − | 1.44175i | −0.693064 | − | 0.720876i | \(-0.743740\pi\) | ||
0.693064 | − | 0.720876i | \(-0.256260\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25.0870i | 0.852983i | ||||||||
\(866\) | −20.7930 | − | 5.00691i | −0.706574 | − | 0.170142i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 22.8393 | − | 44.6743i | 0.775216 | − | 1.51634i | ||||
\(869\) | −29.0425 | − | 29.3693i | −0.985198 | − | 0.996286i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.27190 | −0.280283 | ||||||||
\(872\) | 36.0661 | + | 30.9309i | 1.22135 | + | 1.04745i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 30.2462 | + | 7.28323i | 1.02309 | + | 0.246359i | ||||
\(875\) | − | 36.2454i | − | 1.22532i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −49.9775 | −1.68762 | −0.843811 | − | 0.536641i | \(-0.819693\pi\) | ||||
−0.843811 | + | 0.536641i | \(0.819693\pi\) | |||||||
\(878\) | −31.6891 | − | 7.63068i | −1.06946 | − | 0.257523i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −26.1709 | − | 4.36846i | −0.882221 | − | 0.147261i | ||||
\(881\) | −27.9846 | −0.942824 | −0.471412 | − | 0.881913i | \(-0.656256\pi\) | ||||
−0.471412 | + | 0.881913i | \(0.656256\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.2462 | 0.748645 | 0.374322 | − | 0.927299i | \(-0.377875\pi\) | ||||
0.374322 | + | 0.927299i | \(0.377875\pi\) | |||||||
\(884\) | −2.04496 | + | 4.00000i | −0.0687794 | + | 0.134535i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.41273 | − | 1.54417i | −0.215440 | − | 0.0518775i | ||||
\(887\) | −43.9972 | −1.47728 | −0.738641 | − | 0.674099i | \(-0.764532\pi\) | ||||
−0.738641 | + | 0.674099i | \(0.764532\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.87689 | −0.230644 | ||||||||
\(890\) | −10.9993 | + | 45.6786i | −0.368698 | + | 1.53115i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −9.42329 | + | 18.4322i | −0.315515 | + | 0.617157i | ||||
\(893\) | −42.2630 | −1.41428 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.84329 | − | 34.0540i | 0.0949876 | − | 1.13766i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.81164 | − | 0.677039i | −0.0938258 | − | 0.0225931i | ||||
\(899\) | − | 12.8255i | − | 0.427753i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.9867 | −0.465966 | ||||||||
\(902\) | 31.0606 | − | 18.7669i | 1.03421 | − | 0.624868i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.6371 | + | 13.4106i | 0.520082 | + | 0.446031i | ||||
\(905\) | 51.8792 | 1.72452 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.7386 | −0.622206 | −0.311103 | − | 0.950376i | \(-0.600698\pi\) | ||||
−0.311103 | + | 0.950376i | \(0.600698\pi\) | |||||||
\(908\) | −22.5272 | + | 44.0639i | −0.747593 | + | 1.46231i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.64861 | + | 10.9993i | −0.0878007 | + | 0.364624i | ||||
\(911\) | 0.738634i | 0.0244720i | 0.999925 | + | 0.0122360i | \(0.00389494\pi\) | ||||
−0.999925 | + | 0.0122360i | \(0.996105\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 11.1231 | − | 10.9993i | 0.368121 | − | 0.364024i | ||||
\(914\) | −9.32819 | + | 38.7386i | −0.308549 | + | 1.28136i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −17.5076 | + | 34.2453i | −0.578467 | + | 1.13150i | ||||
\(917\) | 12.0000i | 0.396275i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.57401 | −0.249843 | −0.124922 | − | 0.992167i | \(-0.539868\pi\) | ||||
−0.124922 | + | 0.992167i | \(0.539868\pi\) | |||||||
\(920\) | 13.4106 | + | 11.5012i | 0.442135 | + | 0.379182i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 45.1080 | + | 10.8619i | 1.48555 | + | 0.357718i | ||||
\(923\) | 16.2177i | 0.533813i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 4.66410i | − | 0.153355i | ||||||
\(926\) | 11.3378 | − | 47.0844i | 0.372584 | − | 1.54729i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.31534 | − | 8.08156i | −0.108831 | − | 0.265290i | ||||
\(929\) | −2.04496 | −0.0670929 | −0.0335465 | − | 0.999437i | \(-0.510680\pi\) | ||||
−0.0335465 | + | 0.999437i | \(0.510680\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.9548i | 0.490124i | ||||||||
\(932\) | 18.0431 | − | 35.2929i | 0.591023 | − | 1.15606i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.41273 | + | 1.54417i | 0.209831 | + | 0.0505269i | ||||
\(935\) | 7.91096 | + | 8.00000i | 0.258716 | + | 0.261628i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.9986i | 0.718664i | 0.933210 | + | 0.359332i | \(0.116995\pi\) | ||||
−0.933210 | + | 0.359332i | \(0.883005\pi\) | |||||||
\(938\) | −25.9396 | − | 6.24621i | −0.846958 | − | 0.203946i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −21.3693 | − | 10.9248i | −0.696990 | − | 0.356329i | ||||
\(941\) | −34.5421 | −1.12604 | −0.563020 | − | 0.826443i | \(-0.690361\pi\) | ||||
−0.563020 | + | 0.826443i | \(0.690361\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −24.1636 | −0.786875 | ||||||||
\(944\) | 27.9846 | + | 38.7386i | 0.910820 | + | 1.26084i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 15.8794 | − | 9.59437i | 0.516285 | − | 0.311940i | ||||
\(947\) | 33.2228 | 1.07960 | 0.539799 | − | 0.841794i | \(-0.318500\pi\) | ||||
0.539799 | + | 0.841794i | \(0.318500\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.08992i | 0.132764i | ||||||||
\(950\) | −2.33205 | + | 9.68466i | −0.0756616 | + | 0.314212i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.43318 | + | 10.9993i | −0.305731 | + | 0.356490i | ||||
\(953\) | − | 54.5769i | − | 1.76792i | −0.467564 | − | 0.883959i | \(-0.654868\pi\) | ||
0.467564 | − | 0.883959i | \(-0.345132\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.49242 | −0.274808 | ||||||||
\(956\) | −14.0877 | − | 7.20217i | −0.455627 | − | 0.232935i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 30.2462 | + | 7.28323i | 0.977211 | + | 0.235311i | ||||
\(959\) | 21.9986 | 0.710373 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −37.9848 | −1.22532 | ||||||||
\(962\) | −2.04496 | + | 8.49242i | −0.0659321 | + | 0.273807i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −17.2160 | + | 33.6750i | −0.554490 | + | 1.08460i | ||||
\(965\) | 50.1739 | 1.61516 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 38.1045 | 1.22536 | 0.612680 | − | 0.790331i | \(-0.290092\pi\) | ||||
0.612680 | + | 0.790331i | \(0.290092\pi\) | |||||||
\(968\) | −20.5173 | + | 23.3889i | −0.659453 | + | 0.751746i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.85254 | − | 36.7633i | 0.284238 | − | 1.18040i | ||||
\(971\) | 23.3205 | 0.748390 | 0.374195 | − | 0.927350i | \(-0.377919\pi\) | ||||
0.374195 | + | 0.927350i | \(0.377919\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.9473i | 0.383014i | ||||||||
\(974\) | 10.6608 | − | 44.2727i | 0.341594 | − | 1.41859i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.9936 | + | 26.2926i | 0.607972 | + | 0.841606i | ||||
\(977\) | −61.2074 | −1.95820 | −0.979099 | − | 0.203382i | \(-0.934807\pi\) | ||||
−0.979099 | + | 0.203382i | \(0.934807\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 38.7386 | + | 39.1746i | 1.23809 | + | 1.25203i | ||||
\(980\) | −3.86577 | + | 7.56155i | −0.123487 | + | 0.241545i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.06913 | + | 12.7457i | −0.0979399 | + | 0.406730i | ||||
\(983\) | 22.6307i | 0.721807i | 0.932603 | + | 0.360903i | \(0.117532\pi\) | ||||
−0.932603 | + | 0.360903i | \(0.882468\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.2637i | 0.996143i | ||||||||
\(986\) | −0.867135 | + | 3.60109i | −0.0276152 | + | 0.114682i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.49242 | − | 16.6114i | 0.270180 | − | 0.528480i | ||||
\(989\) | −12.3534 | −0.392815 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 45.6185i | 1.44912i | 0.689212 | + | 0.724559i | \(0.257957\pi\) | ||||
−0.689212 | + | 0.724559i | \(0.742043\pi\) | |||||||
\(992\) | −43.4686 | + | 17.8324i | −1.38013 | + | 0.566178i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −12.2462 | + | 50.8567i | −0.388426 | + | 1.61308i | ||||
\(995\) | −2.04496 | −0.0648296 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.22925 | −0.102271 | −0.0511357 | − | 0.998692i | \(-0.516284\pi\) | ||||
−0.0511357 | + | 0.998692i | \(0.516284\pi\) | |||||||
\(998\) | −20.2644 | − | 4.87962i | −0.641457 | − | 0.154462i | ||||
\(999\) | 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 | 792.2.h.i.307.16 | yes | 16 | |
3.2 | odd | 2 | inner | 792.2.h.i.307.1 | ✓ | 16 | |
4.3 | odd | 2 | 3168.2.h.i.2287.15 | 16 | |||
8.3 | odd | 2 | inner | 792.2.h.i.307.3 | yes | 16 | |
8.5 | even | 2 | 3168.2.h.i.2287.1 | 16 | |||
11.10 | odd | 2 | inner | 792.2.h.i.307.2 | yes | 16 | |
12.11 | even | 2 | 3168.2.h.i.2287.8 | 16 | |||
24.5 | odd | 2 | 3168.2.h.i.2287.10 | 16 | |||
24.11 | even | 2 | inner | 792.2.h.i.307.14 | yes | 16 | |
33.32 | even | 2 | inner | 792.2.h.i.307.15 | yes | 16 | |
44.43 | even | 2 | 3168.2.h.i.2287.9 | 16 | |||
88.21 | odd | 2 | 3168.2.h.i.2287.7 | 16 | |||
88.43 | even | 2 | inner | 792.2.h.i.307.13 | yes | 16 | |
132.131 | odd | 2 | 3168.2.h.i.2287.2 | 16 | |||
264.131 | odd | 2 | inner | 792.2.h.i.307.4 | yes | 16 | |
264.197 | even | 2 | 3168.2.h.i.2287.16 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
792.2.h.i.307.1 | ✓ | 16 | 3.2 | odd | 2 | inner | |
792.2.h.i.307.2 | yes | 16 | 11.10 | odd | 2 | inner | |
792.2.h.i.307.3 | yes | 16 | 8.3 | odd | 2 | inner | |
792.2.h.i.307.4 | yes | 16 | 264.131 | odd | 2 | inner | |
792.2.h.i.307.13 | yes | 16 | 88.43 | even | 2 | inner | |
792.2.h.i.307.14 | yes | 16 | 24.11 | even | 2 | inner | |
792.2.h.i.307.15 | yes | 16 | 33.32 | even | 2 | inner | |
792.2.h.i.307.16 | yes | 16 | 1.1 | even | 1 | trivial | |
3168.2.h.i.2287.1 | 16 | 8.5 | even | 2 | |||
3168.2.h.i.2287.2 | 16 | 132.131 | odd | 2 | |||
3168.2.h.i.2287.7 | 16 | 88.21 | odd | 2 | |||
3168.2.h.i.2287.8 | 16 | 12.11 | even | 2 | |||
3168.2.h.i.2287.9 | 16 | 44.43 | even | 2 | |||
3168.2.h.i.2287.10 | 16 | 24.5 | odd | 2 | |||
3168.2.h.i.2287.15 | 16 | 4.3 | odd | 2 | |||
3168.2.h.i.2287.16 | 16 | 264.197 | even | 2 |