Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(694,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.694");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.c (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 33 x^{18} + 456 x^{16} + 3426 x^{14} + 15194 x^{12} + 40320 x^{10} + 61593 x^{8} + 48545 x^{6} + \cdots + 100 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 694.18 | ||
Root | \(2.51027i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1155.694 |
Dual form | 1155.2.c.e.694.3 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.51027i | 1.77503i | 0.460782 | + | 0.887513i | \(0.347569\pi\) | ||||
−0.460782 | + | 0.887513i | \(0.652431\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −4.30144 | −2.15072 | ||||||||
\(5\) | −1.80593 | + | 1.31856i | −0.807638 | + | 0.589679i | ||||
\(6\) | −2.51027 | −1.02481 | ||||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | − | 5.77723i | − | 2.04256i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −3.30994 | − | 4.53337i | −1.04670 | − | 1.43358i | ||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | − | 4.30144i | − | 1.24172i | ||||||
\(13\) | − | 7.07998i | − | 1.96363i | −0.189831 | − | 0.981817i | \(-0.560794\pi\) | ||
0.189831 | − | 0.981817i | \(-0.439206\pi\) | |||||||
\(14\) | 2.51027 | 0.670897 | ||||||||
\(15\) | −1.31856 | − | 1.80593i | −0.340451 | − | 0.466290i | ||||
\(16\) | 5.89951 | 1.47488 | ||||||||
\(17\) | 0.968488i | 0.234893i | 0.993079 | + | 0.117446i | \(0.0374708\pi\) | ||||
−0.993079 | + | 0.117446i | \(0.962529\pi\) | |||||||
\(18\) | − | 2.51027i | − | 0.591676i | ||||||
\(19\) | 2.31494 | 0.531084 | 0.265542 | − | 0.964099i | \(-0.414449\pi\) | ||||
0.265542 | + | 0.964099i | \(0.414449\pi\) | |||||||
\(20\) | 7.76811 | − | 5.67172i | 1.73700 | − | 1.26823i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | − | 2.51027i | − | 0.535191i | ||||||
\(23\) | 5.12905i | 1.06948i | 0.845016 | + | 0.534741i | \(0.179591\pi\) | ||||
−0.845016 | + | 0.534741i | \(0.820409\pi\) | |||||||
\(24\) | 5.77723 | 1.17927 | ||||||||
\(25\) | 1.52278 | − | 4.76247i | 0.304557 | − | 0.952494i | ||||
\(26\) | 17.7726 | 3.48550 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 4.30144i | 0.812896i | ||||||||
\(29\) | −6.98999 | −1.29801 | −0.649004 | − | 0.760785i | \(-0.724814\pi\) | ||||
−0.649004 | + | 0.760785i | \(0.724814\pi\) | |||||||
\(30\) | 4.53337 | − | 3.30994i | 0.827677 | − | 0.604310i | ||||
\(31\) | 6.96479 | 1.25091 | 0.625457 | − | 0.780259i | \(-0.284913\pi\) | ||||
0.625457 | + | 0.780259i | \(0.284913\pi\) | |||||||
\(32\) | 3.25488i | 0.575387i | ||||||||
\(33\) | − | 1.00000i | − | 0.174078i | ||||||
\(34\) | −2.43116 | −0.416941 | ||||||||
\(35\) | 1.31856 | + | 1.80593i | 0.222878 | + | 0.305258i | ||||
\(36\) | 4.30144 | 0.716907 | ||||||||
\(37\) | 4.39198i | 0.722038i | 0.932559 | + | 0.361019i | \(0.117571\pi\) | ||||
−0.932559 | + | 0.361019i | \(0.882429\pi\) | |||||||
\(38\) | 5.81112i | 0.942688i | ||||||||
\(39\) | 7.07998 | 1.13370 | ||||||||
\(40\) | 7.61764 | + | 10.4333i | 1.20445 | + | 1.64965i | ||||
\(41\) | −8.89382 | −1.38898 | −0.694490 | − | 0.719502i | \(-0.744370\pi\) | ||||
−0.694490 | + | 0.719502i | \(0.744370\pi\) | |||||||
\(42\) | 2.51027i | 0.387343i | ||||||||
\(43\) | − | 12.7301i | − | 1.94132i | −0.240453 | − | 0.970661i | \(-0.577296\pi\) | ||
0.240453 | − | 0.970661i | \(-0.422704\pi\) | |||||||
\(44\) | 4.30144 | 0.648467 | ||||||||
\(45\) | 1.80593 | − | 1.31856i | 0.269213 | − | 0.196560i | ||||
\(46\) | −12.8753 | −1.89836 | ||||||||
\(47\) | − | 7.09593i | − | 1.03505i | −0.855669 | − | 0.517524i | \(-0.826854\pi\) | ||
0.855669 | − | 0.517524i | \(-0.173146\pi\) | |||||||
\(48\) | 5.89951i | 0.851521i | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 11.9551 | + | 3.82260i | 1.69070 | + | 0.540597i | ||||
\(51\) | −0.968488 | −0.135615 | ||||||||
\(52\) | 30.4541i | 4.22323i | ||||||||
\(53\) | − | 5.21281i | − | 0.716034i | −0.933715 | − | 0.358017i | \(-0.883453\pi\) | ||
0.933715 | − | 0.358017i | \(-0.116547\pi\) | |||||||
\(54\) | 2.51027 | 0.341604 | ||||||||
\(55\) | 1.80593 | − | 1.31856i | 0.243512 | − | 0.177795i | ||||
\(56\) | −5.77723 | −0.772015 | ||||||||
\(57\) | 2.31494i | 0.306622i | ||||||||
\(58\) | − | 17.5467i | − | 2.30400i | ||||||
\(59\) | −8.48666 | −1.10487 | −0.552435 | − | 0.833556i | \(-0.686301\pi\) | ||||
−0.552435 | + | 0.833556i | \(0.686301\pi\) | |||||||
\(60\) | 5.67172 | + | 7.76811i | 0.732216 | + | 1.00286i | ||||
\(61\) | −1.53492 | −0.196527 | −0.0982634 | − | 0.995160i | \(-0.531329\pi\) | ||||
−0.0982634 | + | 0.995160i | \(0.531329\pi\) | |||||||
\(62\) | 17.4835i | 2.22040i | ||||||||
\(63\) | 1.00000i | 0.125988i | ||||||||
\(64\) | 3.62839 | 0.453549 | ||||||||
\(65\) | 9.33540 | + | 12.7860i | 1.15791 | + | 1.58590i | ||||
\(66\) | 2.51027 | 0.308993 | ||||||||
\(67\) | 3.70876i | 0.453097i | 0.974000 | + | 0.226549i | \(0.0727442\pi\) | ||||
−0.974000 | + | 0.226549i | \(0.927256\pi\) | |||||||
\(68\) | − | 4.16589i | − | 0.505189i | ||||||
\(69\) | −5.12905 | −0.617465 | ||||||||
\(70\) | −4.53337 | + | 3.30994i | −0.541842 | + | 0.395614i | ||||
\(71\) | 11.7199 | 1.39090 | 0.695449 | − | 0.718575i | \(-0.255206\pi\) | ||||
0.695449 | + | 0.718575i | \(0.255206\pi\) | |||||||
\(72\) | 5.77723i | 0.680853i | ||||||||
\(73\) | − | 1.94702i | − | 0.227882i | −0.993488 | − | 0.113941i | \(-0.963653\pi\) | ||
0.993488 | − | 0.113941i | \(-0.0363475\pi\) | |||||||
\(74\) | −11.0251 | −1.28164 | ||||||||
\(75\) | 4.76247 | + | 1.52278i | 0.549923 | + | 0.175836i | ||||
\(76\) | −9.95758 | −1.14221 | ||||||||
\(77\) | 1.00000i | 0.113961i | ||||||||
\(78\) | 17.7726i | 2.01236i | ||||||||
\(79\) | −13.1925 | −1.48428 | −0.742139 | − | 0.670246i | \(-0.766189\pi\) | ||||
−0.742139 | + | 0.670246i | \(0.766189\pi\) | |||||||
\(80\) | −10.6541 | + | 7.77887i | −1.19117 | + | 0.869704i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 22.3259i | − | 2.46548i | ||||||
\(83\) | 8.06703i | 0.885472i | 0.896652 | + | 0.442736i | \(0.145992\pi\) | ||||
−0.896652 | + | 0.442736i | \(0.854008\pi\) | |||||||
\(84\) | −4.30144 | −0.469326 | ||||||||
\(85\) | −1.27701 | − | 1.74902i | −0.138511 | − | 0.189708i | ||||
\(86\) | 31.9559 | 3.44590 | ||||||||
\(87\) | − | 6.98999i | − | 0.749405i | ||||||
\(88\) | 5.77723i | 0.615855i | ||||||||
\(89\) | 12.6271 | 1.33847 | 0.669236 | − | 0.743050i | \(-0.266621\pi\) | ||||
0.669236 | + | 0.743050i | \(0.266621\pi\) | |||||||
\(90\) | 3.30994 | + | 4.53337i | 0.348899 | + | 0.477859i | ||||
\(91\) | −7.07998 | −0.742184 | ||||||||
\(92\) | − | 22.0623i | − | 2.30016i | ||||||
\(93\) | 6.96479i | 0.722215i | ||||||||
\(94\) | 17.8127 | 1.83724 | ||||||||
\(95\) | −4.18063 | + | 3.05240i | −0.428923 | + | 0.313169i | ||||
\(96\) | −3.25488 | −0.332200 | ||||||||
\(97\) | 4.07780i | 0.414038i | 0.978337 | + | 0.207019i | \(0.0663761\pi\) | ||||
−0.978337 | + | 0.207019i | \(0.933624\pi\) | |||||||
\(98\) | − | 2.51027i | − | 0.253575i | ||||||
\(99\) | 1.00000 | 0.100504 | ||||||||
\(100\) | −6.55017 | + | 20.4855i | −0.655017 | + | 2.04855i | ||||
\(101\) | −3.88589 | −0.386661 | −0.193330 | − | 0.981134i | \(-0.561929\pi\) | ||||
−0.193330 | + | 0.981134i | \(0.561929\pi\) | |||||||
\(102\) | − | 2.43116i | − | 0.240721i | ||||||
\(103\) | 6.12722i | 0.603733i | 0.953350 | + | 0.301866i | \(0.0976096\pi\) | ||||
−0.953350 | + | 0.301866i | \(0.902390\pi\) | |||||||
\(104\) | −40.9027 | −4.01084 | ||||||||
\(105\) | −1.80593 | + | 1.31856i | −0.176241 | + | 0.128679i | ||||
\(106\) | 13.0855 | 1.27098 | ||||||||
\(107\) | − | 17.8842i | − | 1.72893i | −0.502690 | − | 0.864467i | \(-0.667656\pi\) | ||
0.502690 | − | 0.864467i | \(-0.332344\pi\) | |||||||
\(108\) | 4.30144i | 0.413906i | ||||||||
\(109\) | −4.81924 | −0.461599 | −0.230800 | − | 0.973001i | \(-0.574134\pi\) | ||||
−0.230800 | + | 0.973001i | \(0.574134\pi\) | |||||||
\(110\) | 3.30994 | + | 4.53337i | 0.315591 | + | 0.432240i | ||||
\(111\) | −4.39198 | −0.416869 | ||||||||
\(112\) | − | 5.89951i | − | 0.557451i | ||||||
\(113\) | − | 15.7928i | − | 1.48566i | −0.669479 | − | 0.742831i | \(-0.733482\pi\) | ||
0.669479 | − | 0.742831i | \(-0.266518\pi\) | |||||||
\(114\) | −5.81112 | −0.544261 | ||||||||
\(115\) | −6.76298 | − | 9.26272i | −0.630651 | − | 0.863754i | ||||
\(116\) | 30.0670 | 2.79165 | ||||||||
\(117\) | 7.07998i | 0.654545i | ||||||||
\(118\) | − | 21.3038i | − | 1.96117i | ||||||
\(119\) | 0.968488 | 0.0887811 | ||||||||
\(120\) | −10.4333 | + | 7.61764i | −0.952424 | + | 0.695392i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | − | 3.85307i | − | 0.348840i | ||||||
\(123\) | − | 8.89382i | − | 0.801928i | ||||||
\(124\) | −29.9586 | −2.69036 | ||||||||
\(125\) | 3.52957 | + | 10.6086i | 0.315694 | + | 0.948861i | ||||
\(126\) | −2.51027 | −0.223632 | ||||||||
\(127\) | − | 5.32684i | − | 0.472681i | −0.971670 | − | 0.236340i | \(-0.924052\pi\) | ||
0.971670 | − | 0.236340i | \(-0.0759480\pi\) | |||||||
\(128\) | 15.6180i | 1.38045i | ||||||||
\(129\) | 12.7301 | 1.12082 | ||||||||
\(130\) | −32.0962 | + | 23.4343i | −2.81502 | + | 2.05533i | ||||
\(131\) | 17.1131 | 1.49518 | 0.747588 | − | 0.664163i | \(-0.231212\pi\) | ||||
0.747588 | + | 0.664163i | \(0.231212\pi\) | |||||||
\(132\) | 4.30144i | 0.374392i | ||||||||
\(133\) | − | 2.31494i | − | 0.200731i | ||||||
\(134\) | −9.30998 | −0.804260 | ||||||||
\(135\) | 1.31856 | + | 1.80593i | 0.113484 | + | 0.155430i | ||||
\(136\) | 5.59518 | 0.479782 | ||||||||
\(137\) | − | 2.36803i | − | 0.202315i | −0.994870 | − | 0.101157i | \(-0.967745\pi\) | ||
0.994870 | − | 0.101157i | \(-0.0322546\pi\) | |||||||
\(138\) | − | 12.8753i | − | 1.09602i | ||||||
\(139\) | −4.62584 | −0.392359 | −0.196179 | − | 0.980568i | \(-0.562854\pi\) | ||||
−0.196179 | + | 0.980568i | \(0.562854\pi\) | |||||||
\(140\) | −5.67172 | − | 7.76811i | −0.479348 | − | 0.656525i | ||||
\(141\) | 7.09593 | 0.597585 | ||||||||
\(142\) | 29.4201i | 2.46888i | ||||||||
\(143\) | 7.07998i | 0.592058i | ||||||||
\(144\) | −5.89951 | −0.491626 | ||||||||
\(145\) | 12.6234 | − | 9.21673i | 1.04832 | − | 0.765408i | ||||
\(146\) | 4.88755 | 0.404497 | ||||||||
\(147\) | − | 1.00000i | − | 0.0824786i | ||||||
\(148\) | − | 18.8919i | − | 1.55290i | ||||||
\(149\) | −12.5025 | −1.02424 | −0.512122 | − | 0.858913i | \(-0.671140\pi\) | ||||
−0.512122 | + | 0.858913i | \(0.671140\pi\) | |||||||
\(150\) | −3.82260 | + | 11.9551i | −0.312114 | + | 0.976128i | ||||
\(151\) | −14.5167 | −1.18135 | −0.590677 | − | 0.806908i | \(-0.701139\pi\) | ||||
−0.590677 | + | 0.806908i | \(0.701139\pi\) | |||||||
\(152\) | − | 13.3740i | − | 1.08477i | ||||||
\(153\) | − | 0.968488i | − | 0.0782976i | ||||||
\(154\) | −2.51027 | −0.202283 | ||||||||
\(155\) | −12.5779 | + | 9.18351i | −1.01028 | + | 0.737638i | ||||
\(156\) | −30.4541 | −2.43828 | ||||||||
\(157\) | − | 13.5603i | − | 1.08223i | −0.840948 | − | 0.541117i | \(-0.818002\pi\) | ||
0.840948 | − | 0.541117i | \(-0.181998\pi\) | |||||||
\(158\) | − | 33.1168i | − | 2.63463i | ||||||
\(159\) | 5.21281 | 0.413402 | ||||||||
\(160\) | −4.29177 | − | 5.87810i | −0.339294 | − | 0.464704i | ||||
\(161\) | 5.12905 | 0.404226 | ||||||||
\(162\) | 2.51027i | 0.197225i | ||||||||
\(163\) | − | 16.4125i | − | 1.28553i | −0.766064 | − | 0.642764i | \(-0.777787\pi\) | ||
0.766064 | − | 0.642764i | \(-0.222213\pi\) | |||||||
\(164\) | 38.2562 | 2.98731 | ||||||||
\(165\) | 1.31856 | + | 1.80593i | 0.102650 | + | 0.140592i | ||||
\(166\) | −20.2504 | −1.57174 | ||||||||
\(167\) | − | 14.9188i | − | 1.15445i | −0.816584 | − | 0.577226i | \(-0.804135\pi\) | ||
0.816584 | − | 0.577226i | \(-0.195865\pi\) | |||||||
\(168\) | − | 5.77723i | − | 0.445723i | ||||||
\(169\) | −37.1261 | −2.85586 | ||||||||
\(170\) | 4.39052 | − | 3.20564i | 0.336737 | − | 0.245861i | ||||
\(171\) | −2.31494 | −0.177028 | ||||||||
\(172\) | 54.7578i | 4.17524i | ||||||||
\(173\) | − | 6.15172i | − | 0.467706i | −0.972272 | − | 0.233853i | \(-0.924866\pi\) | ||
0.972272 | − | 0.233853i | \(-0.0751335\pi\) | |||||||
\(174\) | 17.5467 | 1.33021 | ||||||||
\(175\) | −4.76247 | − | 1.52278i | −0.360009 | − | 0.115112i | ||||
\(176\) | −5.89951 | −0.444692 | ||||||||
\(177\) | − | 8.48666i | − | 0.637896i | ||||||
\(178\) | 31.6975i | 2.37582i | ||||||||
\(179\) | 0.615080 | 0.0459732 | 0.0229866 | − | 0.999736i | \(-0.492682\pi\) | ||||
0.0229866 | + | 0.999736i | \(0.492682\pi\) | |||||||
\(180\) | −7.76811 | + | 5.67172i | −0.579001 | + | 0.422745i | ||||
\(181\) | 16.2500 | 1.20785 | 0.603926 | − | 0.797040i | \(-0.293602\pi\) | ||||
0.603926 | + | 0.797040i | \(0.293602\pi\) | |||||||
\(182\) | − | 17.7726i | − | 1.31740i | ||||||
\(183\) | − | 1.53492i | − | 0.113465i | ||||||
\(184\) | 29.6317 | 2.18448 | ||||||||
\(185\) | −5.79111 | − | 7.93163i | −0.425771 | − | 0.583145i | ||||
\(186\) | −17.4835 | −1.28195 | ||||||||
\(187\) | − | 0.968488i | − | 0.0708228i | ||||||
\(188\) | 30.5227i | 2.22610i | ||||||||
\(189\) | −1.00000 | −0.0727393 | ||||||||
\(190\) | −7.66233 | − | 10.4945i | −0.555884 | − | 0.761351i | ||||
\(191\) | −5.57552 | −0.403430 | −0.201715 | − | 0.979444i | \(-0.564652\pi\) | ||||
−0.201715 | + | 0.979444i | \(0.564652\pi\) | |||||||
\(192\) | 3.62839i | 0.261857i | ||||||||
\(193\) | − | 8.78659i | − | 0.632473i | −0.948680 | − | 0.316236i | \(-0.897581\pi\) | ||
0.948680 | − | 0.316236i | \(-0.102419\pi\) | |||||||
\(194\) | −10.2364 | −0.734928 | ||||||||
\(195\) | −12.7860 | + | 9.33540i | −0.915622 | + | 0.668522i | ||||
\(196\) | 4.30144 | 0.307246 | ||||||||
\(197\) | − | 6.85734i | − | 0.488566i | −0.969704 | − | 0.244283i | \(-0.921447\pi\) | ||
0.969704 | − | 0.244283i | \(-0.0785525\pi\) | |||||||
\(198\) | 2.51027i | 0.178397i | ||||||||
\(199\) | −1.09924 | −0.0779231 | −0.0389616 | − | 0.999241i | \(-0.512405\pi\) | ||||
−0.0389616 | + | 0.999241i | \(0.512405\pi\) | |||||||
\(200\) | −27.5139 | − | 8.79748i | −1.94553 | − | 0.622076i | ||||
\(201\) | −3.70876 | −0.261596 | ||||||||
\(202\) | − | 9.75462i | − | 0.686333i | ||||||
\(203\) | 6.98999i | 0.490601i | ||||||||
\(204\) | 4.16589 | 0.291671 | ||||||||
\(205\) | 16.0616 | − | 11.7271i | 1.12179 | − | 0.819053i | ||||
\(206\) | −15.3809 | −1.07164 | ||||||||
\(207\) | − | 5.12905i | − | 0.356494i | ||||||
\(208\) | − | 41.7684i | − | 2.89612i | ||||||
\(209\) | −2.31494 | −0.160128 | ||||||||
\(210\) | −3.30994 | − | 4.53337i | −0.228408 | − | 0.312832i | ||||
\(211\) | 2.08794 | 0.143739 | 0.0718697 | − | 0.997414i | \(-0.477103\pi\) | ||||
0.0718697 | + | 0.997414i | \(0.477103\pi\) | |||||||
\(212\) | 22.4226i | 1.53999i | ||||||||
\(213\) | 11.7199i | 0.803035i | ||||||||
\(214\) | 44.8942 | 3.06890 | ||||||||
\(215\) | 16.7854 | + | 22.9897i | 1.14476 | + | 1.56788i | ||||
\(216\) | −5.77723 | −0.393091 | ||||||||
\(217\) | − | 6.96479i | − | 0.472801i | ||||||
\(218\) | − | 12.0976i | − | 0.819351i | ||||||
\(219\) | 1.94702 | 0.131568 | ||||||||
\(220\) | −7.76811 | + | 5.67172i | −0.523726 | + | 0.382387i | ||||
\(221\) | 6.85687 | 0.461243 | ||||||||
\(222\) | − | 11.0251i | − | 0.739953i | ||||||
\(223\) | 26.4956i | 1.77428i | 0.461503 | + | 0.887139i | \(0.347310\pi\) | ||||
−0.461503 | + | 0.887139i | \(0.652690\pi\) | |||||||
\(224\) | 3.25488 | 0.217476 | ||||||||
\(225\) | −1.52278 | + | 4.76247i | −0.101519 | + | 0.317498i | ||||
\(226\) | 39.6442 | 2.63709 | ||||||||
\(227\) | − | 0.210227i | − | 0.0139533i | −0.999976 | − | 0.00697664i | \(-0.997779\pi\) | ||
0.999976 | − | 0.00697664i | \(-0.00222075\pi\) | |||||||
\(228\) | − | 9.95758i | − | 0.659457i | ||||||
\(229\) | 0.750284 | 0.0495802 | 0.0247901 | − | 0.999693i | \(-0.492108\pi\) | ||||
0.0247901 | + | 0.999693i | \(0.492108\pi\) | |||||||
\(230\) | 23.2519 | − | 16.9769i | 1.53319 | − | 1.11942i | ||||
\(231\) | −1.00000 | −0.0657952 | ||||||||
\(232\) | 40.3828i | 2.65126i | ||||||||
\(233\) | 14.7110i | 0.963751i | 0.876240 | + | 0.481876i | \(0.160044\pi\) | ||||
−0.876240 | + | 0.481876i | \(0.839956\pi\) | |||||||
\(234\) | −17.7726 | −1.16183 | ||||||||
\(235\) | 9.35643 | + | 12.8148i | 0.610346 | + | 0.835944i | ||||
\(236\) | 36.5049 | 2.37626 | ||||||||
\(237\) | − | 13.1925i | − | 0.856948i | ||||||
\(238\) | 2.43116i | 0.157589i | ||||||||
\(239\) | −6.33115 | −0.409528 | −0.204764 | − | 0.978811i | \(-0.565643\pi\) | ||||
−0.204764 | + | 0.978811i | \(0.565643\pi\) | |||||||
\(240\) | −7.77887 | − | 10.6541i | −0.502124 | − | 0.687720i | ||||
\(241\) | 23.3713 | 1.50548 | 0.752739 | − | 0.658319i | \(-0.228732\pi\) | ||||
0.752739 | + | 0.658319i | \(0.228732\pi\) | |||||||
\(242\) | 2.51027i | 0.161366i | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 6.60238 | 0.422674 | ||||||||
\(245\) | 1.80593 | − | 1.31856i | 0.115377 | − | 0.0842399i | ||||
\(246\) | 22.3259 | 1.42344 | ||||||||
\(247\) | − | 16.3897i | − | 1.04285i | ||||||
\(248\) | − | 40.2372i | − | 2.55506i | ||||||
\(249\) | −8.06703 | −0.511227 | ||||||||
\(250\) | −26.6304 | + | 8.86016i | −1.68425 | + | 0.560366i | ||||
\(251\) | 4.42902 | 0.279557 | 0.139779 | − | 0.990183i | \(-0.455361\pi\) | ||||
0.139779 | + | 0.990183i | \(0.455361\pi\) | |||||||
\(252\) | − | 4.30144i | − | 0.270965i | ||||||
\(253\) | − | 5.12905i | − | 0.322461i | ||||||
\(254\) | 13.3718 | 0.839021 | ||||||||
\(255\) | 1.74902 | − | 1.27701i | 0.109528 | − | 0.0799696i | ||||
\(256\) | −31.9486 | −1.99679 | ||||||||
\(257\) | − | 10.4463i | − | 0.651625i | −0.945434 | − | 0.325813i | \(-0.894362\pi\) | ||
0.945434 | − | 0.325813i | \(-0.105638\pi\) | |||||||
\(258\) | 31.9559i | 1.98949i | ||||||||
\(259\) | 4.39198 | 0.272905 | ||||||||
\(260\) | −40.1557 | − | 54.9981i | −2.49035 | − | 3.41084i | ||||
\(261\) | 6.98999 | 0.432669 | ||||||||
\(262\) | 42.9584i | 2.65398i | ||||||||
\(263\) | − | 20.6449i | − | 1.27302i | −0.771268 | − | 0.636511i | \(-0.780377\pi\) | ||
0.771268 | − | 0.636511i | \(-0.219623\pi\) | |||||||
\(264\) | −5.77723 | −0.355564 | ||||||||
\(265\) | 6.87341 | + | 9.41398i | 0.422230 | + | 0.578296i | ||||
\(266\) | 5.81112 | 0.356303 | ||||||||
\(267\) | 12.6271i | 0.772767i | ||||||||
\(268\) | − | 15.9530i | − | 0.974485i | ||||||
\(269\) | −16.7639 | −1.02212 | −0.511058 | − | 0.859546i | \(-0.670746\pi\) | ||||
−0.511058 | + | 0.859546i | \(0.670746\pi\) | |||||||
\(270\) | −4.53337 | + | 3.30994i | −0.275892 | + | 0.201437i | ||||
\(271\) | −15.7900 | −0.959174 | −0.479587 | − | 0.877494i | \(-0.659214\pi\) | ||||
−0.479587 | + | 0.877494i | \(0.659214\pi\) | |||||||
\(272\) | 5.71360i | 0.346438i | ||||||||
\(273\) | − | 7.07998i | − | 0.428500i | ||||||
\(274\) | 5.94440 | 0.359114 | ||||||||
\(275\) | −1.52278 | + | 4.76247i | −0.0918274 | + | 0.287188i | ||||
\(276\) | 22.0623 | 1.32800 | ||||||||
\(277\) | 16.9442i | 1.01808i | 0.860743 | + | 0.509040i | \(0.170000\pi\) | ||||
−0.860743 | + | 0.509040i | \(0.830000\pi\) | |||||||
\(278\) | − | 11.6121i | − | 0.696448i | ||||||
\(279\) | −6.96479 | −0.416971 | ||||||||
\(280\) | 10.4333 | − | 7.61764i | 0.623508 | − | 0.455241i | ||||
\(281\) | −17.6550 | −1.05321 | −0.526605 | − | 0.850110i | \(-0.676535\pi\) | ||||
−0.526605 | + | 0.850110i | \(0.676535\pi\) | |||||||
\(282\) | 17.8127i | 1.06073i | ||||||||
\(283\) | 18.7184i | 1.11269i | 0.830951 | + | 0.556346i | \(0.187797\pi\) | ||||
−0.830951 | + | 0.556346i | \(0.812203\pi\) | |||||||
\(284\) | −50.4125 | −2.99143 | ||||||||
\(285\) | −3.05240 | − | 4.18063i | −0.180808 | − | 0.247639i | ||||
\(286\) | −17.7726 | −1.05092 | ||||||||
\(287\) | 8.89382i | 0.524985i | ||||||||
\(288\) | − | 3.25488i | − | 0.191796i | ||||||
\(289\) | 16.0620 | 0.944825 | ||||||||
\(290\) | 23.1365 | + | 31.6882i | 1.35862 | + | 1.86080i | ||||
\(291\) | −4.07780 | −0.239045 | ||||||||
\(292\) | 8.37501i | 0.490110i | ||||||||
\(293\) | − | 16.4342i | − | 0.960093i | −0.877243 | − | 0.480047i | \(-0.840620\pi\) | ||
0.877243 | − | 0.480047i | \(-0.159380\pi\) | |||||||
\(294\) | 2.51027 | 0.146402 | ||||||||
\(295\) | 15.3263 | − | 11.1902i | 0.892334 | − | 0.651518i | ||||
\(296\) | 25.3735 | 1.47480 | ||||||||
\(297\) | 1.00000i | 0.0580259i | ||||||||
\(298\) | − | 31.3846i | − | 1.81806i | ||||||
\(299\) | 36.3136 | 2.10007 | ||||||||
\(300\) | −20.4855 | − | 6.55017i | −1.18273 | − | 0.378174i | ||||
\(301\) | −12.7301 | −0.733751 | ||||||||
\(302\) | − | 36.4408i | − | 2.09693i | ||||||
\(303\) | − | 3.88589i | − | 0.223239i | ||||||
\(304\) | 13.6570 | 0.783284 | ||||||||
\(305\) | 2.77197 | − | 2.02389i | 0.158722 | − | 0.115888i | ||||
\(306\) | 2.43116 | 0.138980 | ||||||||
\(307\) | − | 28.0691i | − | 1.60199i | −0.598671 | − | 0.800995i | \(-0.704304\pi\) | ||
0.598671 | − | 0.800995i | \(-0.295696\pi\) | |||||||
\(308\) | − | 4.30144i | − | 0.245097i | ||||||
\(309\) | −6.12722 | −0.348565 | ||||||||
\(310\) | −23.0531 | − | 31.5740i | −1.30933 | − | 1.79328i | ||||
\(311\) | −5.23614 | −0.296914 | −0.148457 | − | 0.988919i | \(-0.547431\pi\) | ||||
−0.148457 | + | 0.988919i | \(0.547431\pi\) | |||||||
\(312\) | − | 40.9027i | − | 2.31566i | ||||||
\(313\) | 5.12312i | 0.289576i | 0.989463 | + | 0.144788i | \(0.0462500\pi\) | ||||
−0.989463 | + | 0.144788i | \(0.953750\pi\) | |||||||
\(314\) | 34.0401 | 1.92099 | ||||||||
\(315\) | −1.31856 | − | 1.80593i | −0.0742926 | − | 0.101753i | ||||
\(316\) | 56.7470 | 3.19227 | ||||||||
\(317\) | − | 2.66847i | − | 0.149876i | −0.997188 | − | 0.0749382i | \(-0.976124\pi\) | ||
0.997188 | − | 0.0749382i | \(-0.0238760\pi\) | |||||||
\(318\) | 13.0855i | 0.733800i | ||||||||
\(319\) | 6.98999 | 0.391364 | ||||||||
\(320\) | −6.55264 | + | 4.78427i | −0.366303 | + | 0.267449i | ||||
\(321\) | 17.8842 | 0.998200 | ||||||||
\(322\) | 12.8753i | 0.717512i | ||||||||
\(323\) | 2.24199i | 0.124748i | ||||||||
\(324\) | −4.30144 | −0.238969 | ||||||||
\(325\) | −33.7182 | − | 10.7813i | −1.87035 | − | 0.598038i | ||||
\(326\) | 41.1998 | 2.28185 | ||||||||
\(327\) | − | 4.81924i | − | 0.266505i | ||||||
\(328\) | 51.3816i | 2.83708i | ||||||||
\(329\) | −7.09593 | −0.391211 | ||||||||
\(330\) | −4.53337 | + | 3.30994i | −0.249554 | + | 0.182206i | ||||
\(331\) | −27.1033 | −1.48973 | −0.744866 | − | 0.667215i | \(-0.767486\pi\) | ||||
−0.744866 | + | 0.667215i | \(0.767486\pi\) | |||||||
\(332\) | − | 34.6999i | − | 1.90440i | ||||||
\(333\) | − | 4.39198i | − | 0.240679i | ||||||
\(334\) | 37.4502 | 2.04918 | ||||||||
\(335\) | −4.89023 | − | 6.69777i | −0.267182 | − | 0.365938i | ||||
\(336\) | 5.89951 | 0.321845 | ||||||||
\(337\) | 5.84159i | 0.318212i | 0.987262 | + | 0.159106i | \(0.0508611\pi\) | ||||
−0.987262 | + | 0.159106i | \(0.949139\pi\) | |||||||
\(338\) | − | 93.1965i | − | 5.06922i | ||||||
\(339\) | 15.7928 | 0.857748 | ||||||||
\(340\) | 5.49299 | + | 7.52332i | 0.297899 | + | 0.408009i | ||||
\(341\) | −6.96479 | −0.377165 | ||||||||
\(342\) | − | 5.81112i | − | 0.314229i | ||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −73.5447 | −3.96526 | ||||||||
\(345\) | 9.26272 | − | 6.76298i | 0.498688 | − | 0.364107i | ||||
\(346\) | 15.4425 | 0.830191 | ||||||||
\(347\) | − | 22.4877i | − | 1.20720i | −0.797286 | − | 0.603602i | \(-0.793732\pi\) | ||
0.797286 | − | 0.603602i | \(-0.206268\pi\) | |||||||
\(348\) | 30.0670i | 1.61176i | ||||||||
\(349\) | −5.44689 | −0.291565 | −0.145783 | − | 0.989317i | \(-0.546570\pi\) | ||||
−0.145783 | + | 0.989317i | \(0.546570\pi\) | |||||||
\(350\) | 3.82260 | − | 11.9551i | 0.204326 | − | 0.639026i | ||||
\(351\) | −7.07998 | −0.377901 | ||||||||
\(352\) | − | 3.25488i | − | 0.173486i | ||||||
\(353\) | 13.4009i | 0.713259i | 0.934246 | + | 0.356629i | \(0.116074\pi\) | ||||
−0.934246 | + | 0.356629i | \(0.883926\pi\) | |||||||
\(354\) | 21.3038 | 1.13228 | ||||||||
\(355\) | −21.1654 | + | 15.4534i | −1.12334 | + | 0.820184i | ||||
\(356\) | −54.3148 | −2.87868 | ||||||||
\(357\) | 0.968488i | 0.0512578i | ||||||||
\(358\) | 1.54402i | 0.0816037i | ||||||||
\(359\) | −22.1829 | −1.17077 | −0.585385 | − | 0.810755i | \(-0.699057\pi\) | ||||
−0.585385 | + | 0.810755i | \(0.699057\pi\) | |||||||
\(360\) | −7.61764 | − | 10.4333i | −0.401485 | − | 0.549883i | ||||
\(361\) | −13.6410 | −0.717950 | ||||||||
\(362\) | 40.7918i | 2.14397i | ||||||||
\(363\) | 1.00000i | 0.0524864i | ||||||||
\(364\) | 30.4541 | 1.59623 | ||||||||
\(365\) | 2.56727 | + | 3.51619i | 0.134377 | + | 0.184046i | ||||
\(366\) | 3.85307 | 0.201403 | ||||||||
\(367\) | − | 25.4973i | − | 1.33095i | −0.746420 | − | 0.665475i | \(-0.768229\pi\) | ||
0.746420 | − | 0.665475i | \(-0.231771\pi\) | |||||||
\(368\) | 30.2589i | 1.57735i | ||||||||
\(369\) | 8.89382 | 0.462994 | ||||||||
\(370\) | 19.9105 | − | 14.5372i | 1.03510 | − | 0.755754i | ||||
\(371\) | −5.21281 | −0.270635 | ||||||||
\(372\) | − | 29.9586i | − | 1.55328i | ||||||
\(373\) | − | 16.7286i | − | 0.866175i | −0.901352 | − | 0.433087i | \(-0.857424\pi\) | ||
0.901352 | − | 0.433087i | \(-0.142576\pi\) | |||||||
\(374\) | 2.43116 | 0.125712 | ||||||||
\(375\) | −10.6086 | + | 3.52957i | −0.547825 | + | 0.182266i | ||||
\(376\) | −40.9948 | −2.11415 | ||||||||
\(377\) | 49.4890i | 2.54881i | ||||||||
\(378\) | − | 2.51027i | − | 0.129114i | ||||||
\(379\) | −1.43179 | −0.0735460 | −0.0367730 | − | 0.999324i | \(-0.511708\pi\) | ||||
−0.0367730 | + | 0.999324i | \(0.511708\pi\) | |||||||
\(380\) | 17.9827 | − | 13.1297i | 0.922494 | − | 0.673539i | ||||
\(381\) | 5.32684 | 0.272902 | ||||||||
\(382\) | − | 13.9960i | − | 0.716100i | ||||||
\(383\) | 28.5936i | 1.46106i | 0.682878 | + | 0.730532i | \(0.260728\pi\) | ||||
−0.682878 | + | 0.730532i | \(0.739272\pi\) | |||||||
\(384\) | −15.6180 | −0.797003 | ||||||||
\(385\) | −1.31856 | − | 1.80593i | −0.0672002 | − | 0.0920388i | ||||
\(386\) | 22.0567 | 1.12266 | ||||||||
\(387\) | 12.7301i | 0.647107i | ||||||||
\(388\) | − | 17.5404i | − | 0.890479i | ||||||
\(389\) | −24.6378 | −1.24919 | −0.624593 | − | 0.780951i | \(-0.714735\pi\) | ||||
−0.624593 | + | 0.780951i | \(0.714735\pi\) | |||||||
\(390\) | −23.4343 | − | 32.0962i | −1.18664 | − | 1.62525i | ||||
\(391\) | −4.96742 | −0.251213 | ||||||||
\(392\) | 5.77723i | 0.291794i | ||||||||
\(393\) | 17.1131i | 0.863240i | ||||||||
\(394\) | 17.2138 | 0.867217 | ||||||||
\(395\) | 23.8249 | − | 17.3952i | 1.19876 | − | 0.875248i | ||||
\(396\) | −4.30144 | −0.216156 | ||||||||
\(397\) | 21.6591i | 1.08704i | 0.839397 | + | 0.543518i | \(0.182908\pi\) | ||||
−0.839397 | + | 0.543518i | \(0.817092\pi\) | |||||||
\(398\) | − | 2.75939i | − | 0.138316i | ||||||
\(399\) | 2.31494 | 0.115892 | ||||||||
\(400\) | 8.98368 | − | 28.0962i | 0.449184 | − | 1.40481i | ||||
\(401\) | −23.9481 | −1.19591 | −0.597955 | − | 0.801529i | \(-0.704020\pi\) | ||||
−0.597955 | + | 0.801529i | \(0.704020\pi\) | |||||||
\(402\) | − | 9.30998i | − | 0.464340i | ||||||
\(403\) | − | 49.3106i | − | 2.45634i | ||||||
\(404\) | 16.7149 | 0.831599 | ||||||||
\(405\) | −1.80593 | + | 1.31856i | −0.0897375 | + | 0.0655199i | ||||
\(406\) | −17.5467 | −0.870830 | ||||||||
\(407\) | − | 4.39198i | − | 0.217703i | ||||||
\(408\) | 5.59518i | 0.277002i | ||||||||
\(409\) | 22.9941 | 1.13699 | 0.568493 | − | 0.822688i | \(-0.307527\pi\) | ||||
0.568493 | + | 0.822688i | \(0.307527\pi\) | |||||||
\(410\) | 29.4380 | + | 40.3190i | 1.45384 | + | 1.99121i | ||||
\(411\) | 2.36803 | 0.116807 | ||||||||
\(412\) | − | 26.3559i | − | 1.29846i | ||||||
\(413\) | 8.48666i | 0.417601i | ||||||||
\(414\) | 12.8753 | 0.632786 | ||||||||
\(415\) | −10.6369 | − | 14.5685i | −0.522144 | − | 0.715140i | ||||
\(416\) | 23.0445 | 1.12985 | ||||||||
\(417\) | − | 4.62584i | − | 0.226529i | ||||||
\(418\) | − | 5.81112i | − | 0.284231i | ||||||
\(419\) | 7.90663 | 0.386264 | 0.193132 | − | 0.981173i | \(-0.438135\pi\) | ||||
0.193132 | + | 0.981173i | \(0.438135\pi\) | |||||||
\(420\) | 7.76811 | − | 5.67172i | 0.379045 | − | 0.276752i | ||||
\(421\) | 10.6716 | 0.520100 | 0.260050 | − | 0.965595i | \(-0.416261\pi\) | ||||
0.260050 | + | 0.965595i | \(0.416261\pi\) | |||||||
\(422\) | 5.24127i | 0.255141i | ||||||||
\(423\) | 7.09593i | 0.345016i | ||||||||
\(424\) | −30.1156 | −1.46254 | ||||||||
\(425\) | 4.61239 | + | 1.47480i | 0.223734 | + | 0.0715382i | ||||
\(426\) | −29.4201 | −1.42541 | ||||||||
\(427\) | 1.53492i | 0.0742802i | ||||||||
\(428\) | 76.9279i | 3.71845i | ||||||||
\(429\) | −7.07998 | −0.341825 | ||||||||
\(430\) | −57.7103 | + | 42.1359i | −2.78304 | + | 2.03197i | ||||
\(431\) | −24.0475 | −1.15833 | −0.579164 | − | 0.815211i | \(-0.696621\pi\) | ||||
−0.579164 | + | 0.815211i | \(0.696621\pi\) | |||||||
\(432\) | − | 5.89951i | − | 0.283840i | ||||||
\(433\) | 27.3845i | 1.31601i | 0.753012 | + | 0.658007i | \(0.228600\pi\) | ||||
−0.753012 | + | 0.658007i | \(0.771400\pi\) | |||||||
\(434\) | 17.4835 | 0.839234 | ||||||||
\(435\) | 9.21673 | + | 12.6234i | 0.441909 | + | 0.605248i | ||||
\(436\) | 20.7297 | 0.992771 | ||||||||
\(437\) | 11.8735i | 0.567985i | ||||||||
\(438\) | 4.88755i | 0.233536i | ||||||||
\(439\) | −29.9437 | −1.42913 | −0.714566 | − | 0.699568i | \(-0.753376\pi\) | ||||
−0.714566 | + | 0.699568i | \(0.753376\pi\) | |||||||
\(440\) | −7.61764 | − | 10.4333i | −0.363157 | − | 0.497387i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | 17.2126i | 0.818719i | ||||||||
\(443\) | 15.0629i | 0.715661i | 0.933787 | + | 0.357830i | \(0.116483\pi\) | ||||
−0.933787 | + | 0.357830i | \(0.883517\pi\) | |||||||
\(444\) | 18.8919 | 0.896568 | ||||||||
\(445\) | −22.8037 | + | 16.6497i | −1.08100 | + | 0.789269i | ||||
\(446\) | −66.5111 | −3.14939 | ||||||||
\(447\) | − | 12.5025i | − | 0.591347i | ||||||
\(448\) | − | 3.62839i | − | 0.171426i | ||||||
\(449\) | 20.2088 | 0.953713 | 0.476857 | − | 0.878981i | \(-0.341776\pi\) | ||||
0.476857 | + | 0.878981i | \(0.341776\pi\) | |||||||
\(450\) | −11.9551 | − | 3.82260i | −0.563568 | − | 0.180199i | ||||
\(451\) | 8.89382 | 0.418793 | ||||||||
\(452\) | 67.9318i | 3.19524i | ||||||||
\(453\) | − | 14.5167i | − | 0.682055i | ||||||
\(454\) | 0.527727 | 0.0247675 | ||||||||
\(455\) | 12.7860 | − | 9.33540i | 0.599416 | − | 0.437650i | ||||
\(456\) | 13.3740 | 0.626293 | ||||||||
\(457\) | 1.04343i | 0.0488096i | 0.999702 | + | 0.0244048i | \(0.00776906\pi\) | ||||
−0.999702 | + | 0.0244048i | \(0.992231\pi\) | |||||||
\(458\) | 1.88341i | 0.0880062i | ||||||||
\(459\) | 0.968488 | 0.0452051 | ||||||||
\(460\) | 29.0906 | + | 39.8431i | 1.35635 | + | 1.85769i | ||||
\(461\) | −5.75152 | −0.267875 | −0.133938 | − | 0.990990i | \(-0.542762\pi\) | ||||
−0.133938 | + | 0.990990i | \(0.542762\pi\) | |||||||
\(462\) | − | 2.51027i | − | 0.116788i | ||||||
\(463\) | 33.9781i | 1.57910i | 0.613688 | + | 0.789549i | \(0.289685\pi\) | ||||
−0.613688 | + | 0.789549i | \(0.710315\pi\) | |||||||
\(464\) | −41.2375 | −1.91440 | ||||||||
\(465\) | −9.18351 | − | 12.5779i | −0.425875 | − | 0.583288i | ||||
\(466\) | −36.9286 | −1.71068 | ||||||||
\(467\) | − | 1.66641i | − | 0.0771123i | −0.999256 | − | 0.0385561i | \(-0.987724\pi\) | ||
0.999256 | − | 0.0385561i | \(-0.0122758\pi\) | |||||||
\(468\) | − | 30.4541i | − | 1.40774i | ||||||
\(469\) | 3.70876 | 0.171255 | ||||||||
\(470\) | −32.1685 | + | 23.4871i | −1.48382 | + | 1.08338i | ||||
\(471\) | 13.5603 | 0.624828 | ||||||||
\(472\) | 49.0294i | 2.25676i | ||||||||
\(473\) | 12.7301i | 0.585330i | ||||||||
\(474\) | 33.1168 | 1.52111 | ||||||||
\(475\) | 3.52516 | − | 11.0248i | 0.161745 | − | 0.505854i | ||||
\(476\) | −4.16589 | −0.190943 | ||||||||
\(477\) | 5.21281i | 0.238678i | ||||||||
\(478\) | − | 15.8929i | − | 0.726923i | ||||||
\(479\) | −18.5420 | −0.847207 | −0.423604 | − | 0.905848i | \(-0.639235\pi\) | ||||
−0.423604 | + | 0.905848i | \(0.639235\pi\) | |||||||
\(480\) | 5.87810 | − | 4.29177i | 0.268297 | − | 0.195891i | ||||
\(481\) | 31.0952 | 1.41782 | ||||||||
\(482\) | 58.6682i | 2.67226i | ||||||||
\(483\) | 5.12905i | 0.233380i | ||||||||
\(484\) | −4.30144 | −0.195520 | ||||||||
\(485\) | −5.37683 | − | 7.36423i | −0.244149 | − | 0.334392i | ||||
\(486\) | −2.51027 | −0.113868 | ||||||||
\(487\) | − | 37.2652i | − | 1.68865i | −0.535834 | − | 0.844323i | \(-0.680003\pi\) | ||
0.535834 | − | 0.844323i | \(-0.319997\pi\) | |||||||
\(488\) | 8.86761i | 0.401418i | ||||||||
\(489\) | 16.4125 | 0.742200 | ||||||||
\(490\) | 3.30994 | + | 4.53337i | 0.149528 | + | 0.204797i | ||||
\(491\) | −35.0486 | −1.58172 | −0.790860 | − | 0.611997i | \(-0.790367\pi\) | ||||
−0.790860 | + | 0.611997i | \(0.790367\pi\) | |||||||
\(492\) | 38.2562i | 1.72472i | ||||||||
\(493\) | − | 6.76971i | − | 0.304893i | ||||||
\(494\) | 41.1426 | 1.85109 | ||||||||
\(495\) | −1.80593 | + | 1.31856i | −0.0811706 | + | 0.0592650i | ||||
\(496\) | 41.0888 | 1.84494 | ||||||||
\(497\) | − | 11.7199i | − | 0.525710i | ||||||
\(498\) | − | 20.2504i | − | 0.907442i | ||||||
\(499\) | 2.04402 | 0.0915029 | 0.0457514 | − | 0.998953i | \(-0.485432\pi\) | ||||
0.0457514 | + | 0.998953i | \(0.485432\pi\) | |||||||
\(500\) | −15.1822 | − | 45.6322i | −0.678970 | − | 2.04073i | ||||
\(501\) | 14.9188 | 0.666523 | ||||||||
\(502\) | 11.1180i | 0.496222i | ||||||||
\(503\) | 17.0980i | 0.762362i | 0.924500 | + | 0.381181i | \(0.124483\pi\) | ||||
−0.924500 | + | 0.381181i | \(0.875517\pi\) | |||||||
\(504\) | 5.77723 | 0.257338 | ||||||||
\(505\) | 7.01766 | − | 5.12379i | 0.312282 | − | 0.228006i | ||||
\(506\) | 12.8753 | 0.572377 | ||||||||
\(507\) | − | 37.1261i | − | 1.64883i | ||||||
\(508\) | 22.9131i | 1.01660i | ||||||||
\(509\) | 7.13352 | 0.316188 | 0.158094 | − | 0.987424i | \(-0.449465\pi\) | ||||
0.158094 | + | 0.987424i | \(0.449465\pi\) | |||||||
\(510\) | 3.20564 | + | 4.39052i | 0.141948 | + | 0.194415i | ||||
\(511\) | −1.94702 | −0.0861313 | ||||||||
\(512\) | − | 48.9634i | − | 2.16390i | ||||||
\(513\) | − | 2.31494i | − | 0.102207i | ||||||
\(514\) | 26.2231 | 1.15665 | ||||||||
\(515\) | −8.07912 | − | 11.0653i | −0.356008 | − | 0.487597i | ||||
\(516\) | −54.7578 | −2.41058 | ||||||||
\(517\) | 7.09593i | 0.312079i | ||||||||
\(518\) | 11.0251i | 0.484413i | ||||||||
\(519\) | 6.15172 | 0.270030 | ||||||||
\(520\) | 73.8675 | − | 53.9328i | 3.23930 | − | 2.36511i | ||||
\(521\) | 22.7712 | 0.997626 | 0.498813 | − | 0.866710i | \(-0.333769\pi\) | ||||
0.498813 | + | 0.866710i | \(0.333769\pi\) | |||||||
\(522\) | 17.5467i | 0.768000i | ||||||||
\(523\) | 2.46312i | 0.107705i | 0.998549 | + | 0.0538524i | \(0.0171500\pi\) | ||||
−0.998549 | + | 0.0538524i | \(0.982850\pi\) | |||||||
\(524\) | −73.6108 | −3.21570 | ||||||||
\(525\) | 1.52278 | − | 4.76247i | 0.0664598 | − | 0.207851i | ||||
\(526\) | 51.8243 | 2.25965 | ||||||||
\(527\) | 6.74531i | 0.293830i | ||||||||
\(528\) | − | 5.89951i | − | 0.256743i | ||||||
\(529\) | −3.30719 | −0.143791 | ||||||||
\(530\) | −23.6316 | + | 17.2541i | −1.02649 | + | 0.749470i | ||||
\(531\) | 8.48666 | 0.368290 | ||||||||
\(532\) | 9.95758i | 0.431716i | ||||||||
\(533\) | 62.9681i | 2.72745i | ||||||||
\(534\) | −31.6975 | −1.37168 | ||||||||
\(535\) | 23.5815 | + | 32.2977i | 1.01952 | + | 1.39635i | ||||
\(536\) | 21.4264 | 0.925478 | ||||||||
\(537\) | 0.615080i | 0.0265427i | ||||||||
\(538\) | − | 42.0820i | − | 1.81428i | ||||||
\(539\) | 1.00000 | 0.0430730 | ||||||||
\(540\) | −5.67172 | − | 7.76811i | −0.244072 | − | 0.334286i | ||||
\(541\) | 7.81554 | 0.336016 | 0.168008 | − | 0.985786i | \(-0.446266\pi\) | ||||
0.168008 | + | 0.985786i | \(0.446266\pi\) | |||||||
\(542\) | − | 39.6371i | − | 1.70256i | ||||||
\(543\) | 16.2500i | 0.697354i | ||||||||
\(544\) | −3.15231 | −0.135154 | ||||||||
\(545\) | 8.70322 | − | 6.35447i | 0.372805 | − | 0.272196i | ||||
\(546\) | 17.7726 | 0.760599 | ||||||||
\(547\) | 4.74889i | 0.203048i | 0.994833 | + | 0.101524i | \(0.0323718\pi\) | ||||
−0.994833 | + | 0.101524i | \(0.967628\pi\) | |||||||
\(548\) | 10.1860i | 0.435123i | ||||||||
\(549\) | 1.53492 | 0.0655090 | ||||||||
\(550\) | −11.9551 | − | 3.82260i | −0.509766 | − | 0.162996i | ||||
\(551\) | −16.1814 | −0.689351 | ||||||||
\(552\) | 29.6317i | 1.26121i | ||||||||
\(553\) | 13.1925i | 0.561004i | ||||||||
\(554\) | −42.5346 | −1.80712 | ||||||||
\(555\) | 7.93163 | − | 5.79111i | 0.336679 | − | 0.245819i | ||||
\(556\) | 19.8978 | 0.843854 | ||||||||
\(557\) | 38.8508i | 1.64616i | 0.567926 | + | 0.823080i | \(0.307746\pi\) | ||||
−0.567926 | + | 0.823080i | \(0.692254\pi\) | |||||||
\(558\) | − | 17.4835i | − | 0.740135i | ||||||
\(559\) | −90.1289 | −3.81204 | ||||||||
\(560\) | 7.77887 | + | 10.6541i | 0.328717 | + | 0.450219i | ||||
\(561\) | 0.968488 | 0.0408896 | ||||||||
\(562\) | − | 44.3188i | − | 1.86948i | ||||||
\(563\) | − | 17.6279i | − | 0.742928i | −0.928447 | − | 0.371464i | \(-0.878856\pi\) | ||
0.928447 | − | 0.371464i | \(-0.121144\pi\) | |||||||
\(564\) | −30.5227 | −1.28524 | ||||||||
\(565\) | 20.8238 | + | 28.5207i | 0.876064 | + | 1.19988i | ||||
\(566\) | −46.9881 | −1.97506 | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | − | 67.7086i | − | 2.84099i | ||||||
\(569\) | 23.9251 | 1.00299 | 0.501496 | − | 0.865160i | \(-0.332783\pi\) | ||||
0.501496 | + | 0.865160i | \(0.332783\pi\) | |||||||
\(570\) | 10.4945 | − | 7.66233i | 0.439566 | − | 0.320940i | ||||
\(571\) | 32.3332 | 1.35310 | 0.676552 | − | 0.736395i | \(-0.263474\pi\) | ||||
0.676552 | + | 0.736395i | \(0.263474\pi\) | |||||||
\(572\) | − | 30.4541i | − | 1.27335i | ||||||
\(573\) | − | 5.57552i | − | 0.232921i | ||||||
\(574\) | −22.3259 | −0.931863 | ||||||||
\(575\) | 24.4270 | + | 7.81044i | 1.01867 | + | 0.325718i | ||||
\(576\) | −3.62839 | −0.151183 | ||||||||
\(577\) | − | 8.30110i | − | 0.345579i | −0.984959 | − | 0.172790i | \(-0.944722\pi\) | ||
0.984959 | − | 0.172790i | \(-0.0552781\pi\) | |||||||
\(578\) | 40.3200i | 1.67709i | ||||||||
\(579\) | 8.78659 | 0.365158 | ||||||||
\(580\) | −54.2990 | + | 39.6452i | −2.25464 | + | 1.64618i | ||||
\(581\) | 8.06703 | 0.334677 | ||||||||
\(582\) | − | 10.2364i | − | 0.424311i | ||||||
\(583\) | 5.21281i | 0.215892i | ||||||||
\(584\) | −11.2484 | −0.465462 | ||||||||
\(585\) | −9.33540 | − | 12.7860i | −0.385971 | − | 0.528635i | ||||
\(586\) | 41.2541 | 1.70419 | ||||||||
\(587\) | − | 26.9977i | − | 1.11431i | −0.830407 | − | 0.557157i | \(-0.811892\pi\) | ||
0.830407 | − | 0.557157i | \(-0.188108\pi\) | |||||||
\(588\) | 4.30144i | 0.177388i | ||||||||
\(589\) | 16.1231 | 0.664340 | ||||||||
\(590\) | 28.0904 | + | 38.4732i | 1.15646 | + | 1.58392i | ||||
\(591\) | 6.85734 | 0.282073 | ||||||||
\(592\) | 25.9105i | 1.06492i | ||||||||
\(593\) | 30.3364i | 1.24577i | 0.782314 | + | 0.622884i | \(0.214039\pi\) | ||||
−0.782314 | + | 0.622884i | \(0.785961\pi\) | |||||||
\(594\) | −2.51027 | −0.102998 | ||||||||
\(595\) | −1.74902 | + | 1.27701i | −0.0717030 | + | 0.0523524i | ||||
\(596\) | 53.7787 | 2.20286 | ||||||||
\(597\) | − | 1.09924i | − | 0.0449889i | ||||||
\(598\) | 91.1568i | 3.72768i | ||||||||
\(599\) | 12.5849 | 0.514206 | 0.257103 | − | 0.966384i | \(-0.417232\pi\) | ||||
0.257103 | + | 0.966384i | \(0.417232\pi\) | |||||||
\(600\) | 8.79748 | − | 27.5139i | 0.359155 | − | 1.12325i | ||||
\(601\) | −4.68653 | −0.191168 | −0.0955838 | − | 0.995421i | \(-0.530472\pi\) | ||||
−0.0955838 | + | 0.995421i | \(0.530472\pi\) | |||||||
\(602\) | − | 31.9559i | − | 1.30243i | ||||||
\(603\) | − | 3.70876i | − | 0.151032i | ||||||
\(604\) | 62.4428 | 2.54076 | ||||||||
\(605\) | −1.80593 | + | 1.31856i | −0.0734216 | + | 0.0536072i | ||||
\(606\) | 9.75462 | 0.396255 | ||||||||
\(607\) | 11.4569i | 0.465019i | 0.972594 | + | 0.232510i | \(0.0746937\pi\) | ||||
−0.972594 | + | 0.232510i | \(0.925306\pi\) | |||||||
\(608\) | 7.53486i | 0.305579i | ||||||||
\(609\) | −6.98999 | −0.283249 | ||||||||
\(610\) | 5.08051 | + | 6.95838i | 0.205704 | + | 0.281737i | ||||
\(611\) | −50.2391 | −2.03246 | ||||||||
\(612\) | 4.16589i | 0.168396i | ||||||||
\(613\) | − | 11.1635i | − | 0.450889i | −0.974256 | − | 0.225444i | \(-0.927617\pi\) | ||
0.974256 | − | 0.225444i | \(-0.0723834\pi\) | |||||||
\(614\) | 70.4610 | 2.84357 | ||||||||
\(615\) | 11.7271 | + | 16.0616i | 0.472881 | + | 0.647668i | ||||
\(616\) | 5.77723 | 0.232771 | ||||||||
\(617\) | 5.44247i | 0.219105i | 0.993981 | + | 0.109553i | \(0.0349419\pi\) | ||||
−0.993981 | + | 0.109553i | \(0.965058\pi\) | |||||||
\(618\) | − | 15.3809i | − | 0.618712i | ||||||
\(619\) | −17.3985 | −0.699303 | −0.349652 | − | 0.936880i | \(-0.613700\pi\) | ||||
−0.349652 | + | 0.936880i | \(0.613700\pi\) | |||||||
\(620\) | 54.1033 | − | 39.5023i | 2.17284 | − | 1.58645i | ||||
\(621\) | 5.12905 | 0.205822 | ||||||||
\(622\) | − | 13.1441i | − | 0.527031i | ||||||
\(623\) | − | 12.6271i | − | 0.505895i | ||||||
\(624\) | 41.7684 | 1.67207 | ||||||||
\(625\) | −20.3623 | − | 14.5044i | −0.814490 | − | 0.580177i | ||||
\(626\) | −12.8604 | −0.514005 | ||||||||
\(627\) | − | 2.31494i | − | 0.0924499i | ||||||
\(628\) | 58.3290i | 2.32758i | ||||||||
\(629\) | −4.25358 | −0.169601 | ||||||||
\(630\) | 4.53337 | − | 3.30994i | 0.180614 | − | 0.131871i | ||||
\(631\) | 2.43563 | 0.0969609 | 0.0484804 | − | 0.998824i | \(-0.484562\pi\) | ||||
0.0484804 | + | 0.998824i | \(0.484562\pi\) | |||||||
\(632\) | 76.2164i | 3.03173i | ||||||||
\(633\) | 2.08794i | 0.0829880i | ||||||||
\(634\) | 6.69858 | 0.266035 | ||||||||
\(635\) | 7.02377 | + | 9.61991i | 0.278730 | + | 0.381755i | ||||
\(636\) | −22.4226 | −0.889113 | ||||||||
\(637\) | 7.07998i | 0.280519i | ||||||||
\(638\) | 17.5467i | 0.694682i | ||||||||
\(639\) | −11.7199 | −0.463633 | ||||||||
\(640\) | −20.5933 | − | 28.2051i | −0.814022 | − | 1.11490i | ||||
\(641\) | 27.9984 | 1.10587 | 0.552935 | − | 0.833224i | \(-0.313508\pi\) | ||||
0.552935 | + | 0.833224i | \(0.313508\pi\) | |||||||
\(642\) | 44.8942i | 1.77183i | ||||||||
\(643\) | 35.8238i | 1.41275i | 0.707836 | + | 0.706377i | \(0.249672\pi\) | ||||
−0.707836 | + | 0.706377i | \(0.750328\pi\) | |||||||
\(644\) | −22.0623 | −0.869377 | ||||||||
\(645\) | −22.9897 | + | 16.7854i | −0.905218 | + | 0.660926i | ||||
\(646\) | −5.62800 | −0.221431 | ||||||||
\(647\) | − | 29.4236i | − | 1.15676i | −0.815767 | − | 0.578381i | \(-0.803685\pi\) | ||
0.815767 | − | 0.578381i | \(-0.196315\pi\) | |||||||
\(648\) | − | 5.77723i | − | 0.226951i | ||||||
\(649\) | 8.48666 | 0.333131 | ||||||||
\(650\) | 27.0639 | − | 84.6417i | 1.06153 | − | 3.31992i | ||||
\(651\) | 6.96479 | 0.272972 | ||||||||
\(652\) | 70.5975i | 2.76481i | ||||||||
\(653\) | 45.8648i | 1.79483i | 0.441189 | + | 0.897414i | \(0.354557\pi\) | ||||
−0.441189 | + | 0.897414i | \(0.645443\pi\) | |||||||
\(654\) | 12.0976 | 0.473053 | ||||||||
\(655\) | −30.9050 | + | 22.5646i | −1.20756 | + | 0.881674i | ||||
\(656\) | −52.4692 | −2.04858 | ||||||||
\(657\) | 1.94702i | 0.0759606i | ||||||||
\(658\) | − | 17.8127i | − | 0.694411i | ||||||
\(659\) | −35.0588 | −1.36570 | −0.682849 | − | 0.730559i | \(-0.739259\pi\) | ||||
−0.682849 | + | 0.730559i | \(0.739259\pi\) | |||||||
\(660\) | −5.67172 | − | 7.76811i | −0.220771 | − | 0.302373i | ||||
\(661\) | −37.3084 | −1.45113 | −0.725564 | − | 0.688155i | \(-0.758421\pi\) | ||||
−0.725564 | + | 0.688155i | \(0.758421\pi\) | |||||||
\(662\) | − | 68.0365i | − | 2.64431i | ||||||
\(663\) | 6.85687i | 0.266299i | ||||||||
\(664\) | 46.6051 | 1.80863 | ||||||||
\(665\) | 3.05240 | + | 4.18063i | 0.118367 | + | 0.162118i | ||||
\(666\) | 11.0251 | 0.427212 | ||||||||
\(667\) | − | 35.8520i | − | 1.38820i | ||||||
\(668\) | 64.1724i | 2.48290i | ||||||||
\(669\) | −26.4956 | −1.02438 | ||||||||
\(670\) | 16.8132 | − | 12.2758i | 0.649550 | − | 0.474255i | ||||
\(671\) | 1.53492 | 0.0592551 | ||||||||
\(672\) | 3.25488i | 0.125560i | ||||||||
\(673\) | 48.2366i | 1.85938i | 0.368338 | + | 0.929692i | \(0.379927\pi\) | ||||
−0.368338 | + | 0.929692i | \(0.620073\pi\) | |||||||
\(674\) | −14.6640 | −0.564834 | ||||||||
\(675\) | −4.76247 | − | 1.52278i | −0.183308 | − | 0.0586120i | ||||
\(676\) | 159.696 | 6.14215 | ||||||||
\(677\) | − | 17.9598i | − | 0.690251i | −0.938557 | − | 0.345125i | \(-0.887836\pi\) | ||
0.938557 | − | 0.345125i | \(-0.112164\pi\) | |||||||
\(678\) | 39.6442i | 1.52252i | ||||||||
\(679\) | 4.07780 | 0.156491 | ||||||||
\(680\) | −10.1045 | + | 7.37759i | −0.387490 | + | 0.282918i | ||||
\(681\) | 0.210227 | 0.00805593 | ||||||||
\(682\) | − | 17.4835i | − | 0.669477i | ||||||
\(683\) | − | 22.0852i | − | 0.845067i | −0.906347 | − | 0.422533i | \(-0.861141\pi\) | ||
0.906347 | − | 0.422533i | \(-0.138859\pi\) | |||||||
\(684\) | 9.95758 | 0.380738 | ||||||||
\(685\) | 3.12240 | + | 4.27651i | 0.119301 | + | 0.163397i | ||||
\(686\) | −2.51027 | −0.0958424 | ||||||||
\(687\) | 0.750284i | 0.0286251i | ||||||||
\(688\) | − | 75.1013i | − | 2.86321i | ||||||
\(689\) | −36.9066 | −1.40603 | ||||||||
\(690\) | 16.9769 | + | 23.2519i | 0.646299 | + | 0.885185i | ||||
\(691\) | −17.3356 | −0.659479 | −0.329740 | − | 0.944072i | \(-0.606961\pi\) | ||||
−0.329740 | + | 0.944072i | \(0.606961\pi\) | |||||||
\(692\) | 26.4612i | 1.00591i | ||||||||
\(693\) | − | 1.00000i | − | 0.0379869i | ||||||
\(694\) | 56.4501 | 2.14282 | ||||||||
\(695\) | 8.35396 | − | 6.09947i | 0.316884 | − | 0.231366i | ||||
\(696\) | −40.3828 | −1.53070 | ||||||||
\(697\) | − | 8.61355i | − | 0.326262i | ||||||
\(698\) | − | 13.6732i | − | 0.517537i | ||||||
\(699\) | −14.7110 | −0.556422 | ||||||||
\(700\) | 20.4855 | + | 6.55017i | 0.774279 | + | 0.247573i | ||||
\(701\) | 14.7225 | 0.556061 | 0.278030 | − | 0.960572i | \(-0.410318\pi\) | ||||
0.278030 | + | 0.960572i | \(0.410318\pi\) | |||||||
\(702\) | − | 17.7726i | − | 0.670785i | ||||||
\(703\) | 10.1672i | 0.383463i | ||||||||
\(704\) | −3.62839 | −0.136750 | ||||||||
\(705\) | −12.8148 | + | 9.35643i | −0.482632 | + | 0.352384i | ||||
\(706\) | −33.6399 | −1.26605 | ||||||||
\(707\) | 3.88589i | 0.146144i | ||||||||
\(708\) | 36.5049i | 1.37194i | ||||||||
\(709\) | 31.1199 | 1.16873 | 0.584366 | − | 0.811490i | \(-0.301343\pi\) | ||||
0.584366 | + | 0.811490i | \(0.301343\pi\) | |||||||
\(710\) | −38.7923 | − | 53.1307i | −1.45585 | − | 1.99396i | ||||
\(711\) | 13.1925 | 0.494759 | ||||||||
\(712\) | − | 72.9498i | − | 2.73391i | ||||||
\(713\) | 35.7228i | 1.33783i | ||||||||
\(714\) | −2.43116 | −0.0909840 | ||||||||
\(715\) | −9.33540 | − | 12.7860i | −0.349124 | − | 0.478168i | ||||
\(716\) | −2.64573 | −0.0988756 | ||||||||
\(717\) | − | 6.33115i | − | 0.236441i | ||||||
\(718\) | − | 55.6851i | − | 2.07815i | ||||||
\(719\) | −15.9930 | −0.596437 | −0.298219 | − | 0.954498i | \(-0.596392\pi\) | ||||
−0.298219 | + | 0.954498i | \(0.596392\pi\) | |||||||
\(720\) | 10.6541 | − | 7.77887i | 0.397055 | − | 0.289901i | ||||
\(721\) | 6.12722 | 0.228189 | ||||||||
\(722\) | − | 34.2427i | − | 1.27438i | ||||||
\(723\) | 23.3713i | 0.869188i | ||||||||
\(724\) | −69.8984 | −2.59775 | ||||||||
\(725\) | −10.6442 | + | 33.2896i | −0.395317 | + | 1.23634i | ||||
\(726\) | −2.51027 | −0.0931647 | ||||||||
\(727\) | 31.0625i | 1.15205i | 0.817434 | + | 0.576023i | \(0.195396\pi\) | ||||
−0.817434 | + | 0.576023i | \(0.804604\pi\) | |||||||
\(728\) | 40.9027i | 1.51595i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −8.82659 | + | 6.44454i | −0.326687 | + | 0.238523i | ||||
\(731\) | 12.3289 | 0.456002 | ||||||||
\(732\) | 6.60238i | 0.244031i | ||||||||
\(733\) | − | 22.1438i | − | 0.817900i | −0.912557 | − | 0.408950i | \(-0.865895\pi\) | ||
0.912557 | − | 0.408950i | \(-0.134105\pi\) | |||||||
\(734\) | 64.0051 | 2.36247 | ||||||||
\(735\) | 1.31856 | + | 1.80593i | 0.0486359 | + | 0.0666128i | ||||
\(736\) | −16.6945 | −0.615366 | ||||||||
\(737\) | − | 3.70876i | − | 0.136614i | ||||||
\(738\) | 22.3259i | 0.821826i | ||||||||
\(739\) | 21.4023 | 0.787295 | 0.393648 | − | 0.919261i | \(-0.371213\pi\) | ||||
0.393648 | + | 0.919261i | \(0.371213\pi\) | |||||||
\(740\) | 24.9101 | + | 34.1174i | 0.915713 | + | 1.25418i | ||||
\(741\) | 16.3897 | 0.602092 | ||||||||
\(742\) | − | 13.0855i | − | 0.480385i | ||||||
\(743\) | 7.15327i | 0.262428i | 0.991354 | + | 0.131214i | \(0.0418875\pi\) | ||||
−0.991354 | + | 0.131214i | \(0.958113\pi\) | |||||||
\(744\) | 40.2372 | 1.47517 | ||||||||
\(745\) | 22.5786 | − | 16.4853i | 0.827218 | − | 0.603975i | ||||
\(746\) | 41.9933 | 1.53748 | ||||||||
\(747\) | − | 8.06703i | − | 0.295157i | ||||||
\(748\) | 4.16589i | 0.152320i | ||||||||
\(749\) | −17.8842 | −0.653475 | ||||||||
\(750\) | −8.86016 | − | 26.6304i | −0.323527 | − | 0.972404i | ||||
\(751\) | −37.6774 | −1.37487 | −0.687434 | − | 0.726247i | \(-0.741263\pi\) | ||||
−0.687434 | + | 0.726247i | \(0.741263\pi\) | |||||||
\(752\) | − | 41.8625i | − | 1.52657i | ||||||
\(753\) | 4.42902i | 0.161402i | ||||||||
\(754\) | −124.231 | −4.52421 | ||||||||
\(755\) | 26.2162 | − | 19.1412i | 0.954105 | − | 0.696619i | ||||
\(756\) | 4.30144 | 0.156442 | ||||||||
\(757\) | − | 49.1107i | − | 1.78496i | −0.451090 | − | 0.892479i | \(-0.648965\pi\) | ||
0.451090 | − | 0.892479i | \(-0.351035\pi\) | |||||||
\(758\) | − | 3.59417i | − | 0.130546i | ||||||
\(759\) | 5.12905 | 0.186173 | ||||||||
\(760\) | 17.6344 | + | 24.1525i | 0.639667 | + | 0.876102i | ||||
\(761\) | 2.40302 | 0.0871095 | 0.0435548 | − | 0.999051i | \(-0.486132\pi\) | ||||
0.0435548 | + | 0.999051i | \(0.486132\pi\) | |||||||
\(762\) | 13.3718i | 0.484409i | ||||||||
\(763\) | 4.81924i | 0.174468i | ||||||||
\(764\) | 23.9828 | 0.867666 | ||||||||
\(765\) | 1.27701 | + | 1.74902i | 0.0461705 | + | 0.0632361i | ||||
\(766\) | −71.7775 | −2.59343 | ||||||||
\(767\) | 60.0854i | 2.16956i | ||||||||
\(768\) | − | 31.9486i | − | 1.15284i | ||||||
\(769\) | 32.8831 | 1.18579 | 0.592897 | − | 0.805278i | \(-0.297984\pi\) | ||||
0.592897 | + | 0.805278i | \(0.297984\pi\) | |||||||
\(770\) | 4.53337 | − | 3.30994i | 0.163371 | − | 0.119282i | ||||
\(771\) | 10.4463 | 0.376216 | ||||||||
\(772\) | 37.7950i | 1.36027i | ||||||||
\(773\) | − | 28.7871i | − | 1.03540i | −0.855562 | − | 0.517701i | \(-0.826788\pi\) | ||
0.855562 | − | 0.517701i | \(-0.173212\pi\) | |||||||
\(774\) | −31.9559 | −1.14863 | ||||||||
\(775\) | 10.6059 | − | 33.1696i | 0.380974 | − | 1.19149i | ||||
\(776\) | 23.5584 | 0.845696 | ||||||||
\(777\) | 4.39198i | 0.157562i | ||||||||
\(778\) | − | 61.8474i | − | 2.21734i | ||||||
\(779\) | −20.5887 | −0.737666 | ||||||||
\(780\) | 54.9981 | − | 40.1557i | 1.96925 | − | 1.43780i | ||||
\(781\) | −11.7199 | −0.419372 | ||||||||
\(782\) | − | 12.4696i | − | 0.445911i | ||||||
\(783\) | 6.98999i | 0.249802i | ||||||||
\(784\) | −5.89951 | −0.210697 | ||||||||
\(785\) | 17.8802 | + | 24.4891i | 0.638170 | + | 0.874052i | ||||
\(786\) | −42.9584 | −1.53227 | ||||||||
\(787\) | 1.37725i | 0.0490935i | 0.999699 | + | 0.0245468i | \(0.00781426\pi\) | ||||
−0.999699 | + | 0.0245468i | \(0.992186\pi\) | |||||||
\(788\) | 29.4965i | 1.05077i | ||||||||
\(789\) | 20.6449 | 0.734979 | ||||||||
\(790\) | 43.6666 | + | 59.8067i | 1.55359 | + | 2.12783i | ||||
\(791\) | −15.7928 | −0.561528 | ||||||||
\(792\) | − | 5.77723i | − | 0.205285i | ||||||
\(793\) | 10.8672i | 0.385907i | ||||||||
\(794\) | −54.3700 | −1.92952 | ||||||||
\(795\) | −9.41398 | + | 6.87341i | −0.333879 | + | 0.243775i | ||||
\(796\) | 4.72832 | 0.167591 | ||||||||
\(797\) | 45.8922i | 1.62558i | 0.582554 | + | 0.812792i | \(0.302053\pi\) | ||||
−0.582554 | + | 0.812792i | \(0.697947\pi\) | |||||||
\(798\) | 5.81112i | 0.205711i | ||||||||
\(799\) | 6.87232 | 0.243125 | ||||||||
\(800\) | 15.5013 | + | 4.95648i | 0.548053 | + | 0.175238i | ||||
\(801\) | −12.6271 | −0.446158 | ||||||||
\(802\) | − | 60.1161i | − | 2.12277i | ||||||
\(803\) | 1.94702i | 0.0687090i | ||||||||
\(804\) | 15.9530 | 0.562619 | ||||||||
\(805\) | −9.26272 | + | 6.76298i | −0.326468 | + | 0.238364i | ||||
\(806\) | 123.783 | 4.36006 | ||||||||
\(807\) | − | 16.7639i | − | 0.590119i | ||||||
\(808\) | 22.4497i | 0.789777i | ||||||||
\(809\) | −14.2412 | −0.500694 | −0.250347 | − | 0.968156i | \(-0.580545\pi\) | ||||
−0.250347 | + | 0.968156i | \(0.580545\pi\) | |||||||
\(810\) | −3.30994 | − | 4.53337i | −0.116300 | − | 0.159286i | ||||
\(811\) | 13.8037 | 0.484713 | 0.242357 | − | 0.970187i | \(-0.422080\pi\) | ||||
0.242357 | + | 0.970187i | \(0.422080\pi\) | |||||||
\(812\) | − | 30.0670i | − | 1.05515i | ||||||
\(813\) | − | 15.7900i | − | 0.553780i | ||||||
\(814\) | 11.0251 | 0.386428 | ||||||||
\(815\) | 21.6410 | + | 29.6399i | 0.758049 | + | 1.03824i | ||||
\(816\) | −5.71360 | −0.200016 | ||||||||
\(817\) | − | 29.4694i | − | 1.03100i | ||||||
\(818\) | 57.7214i | 2.01818i | ||||||||
\(819\) | 7.07998 | 0.247395 | ||||||||
\(820\) | −69.0882 | + | 50.4432i | −2.41266 | + | 1.76155i | ||||
\(821\) | −6.77445 | −0.236430 | −0.118215 | − | 0.992988i | \(-0.537717\pi\) | ||||
−0.118215 | + | 0.992988i | \(0.537717\pi\) | |||||||
\(822\) | 5.94440i | 0.207335i | ||||||||
\(823\) | − | 13.5187i | − | 0.471232i | −0.971846 | − | 0.235616i | \(-0.924289\pi\) | ||
0.971846 | − | 0.235616i | \(-0.0757107\pi\) | |||||||
\(824\) | 35.3983 | 1.23316 | ||||||||
\(825\) | −4.76247 | − | 1.52278i | −0.165808 | − | 0.0530166i | ||||
\(826\) | −21.3038 | −0.741253 | ||||||||
\(827\) | − | 16.2876i | − | 0.566374i | −0.959065 | − | 0.283187i | \(-0.908608\pi\) | ||
0.959065 | − | 0.283187i | \(-0.0913917\pi\) | |||||||
\(828\) | 22.0623i | 0.766719i | ||||||||
\(829\) | −51.5383 | −1.79000 | −0.895000 | − | 0.446066i | \(-0.852825\pi\) | ||||
−0.895000 | + | 0.446066i | \(0.852825\pi\) | |||||||
\(830\) | 36.5709 | − | 26.7014i | 1.26939 | − | 0.926820i | ||||
\(831\) | −16.9442 | −0.587789 | ||||||||
\(832\) | − | 25.6890i | − | 0.890605i | ||||||
\(833\) | − | 0.968488i | − | 0.0335561i | ||||||
\(834\) | 11.6121 | 0.402094 | ||||||||
\(835\) | 19.6714 | + | 26.9424i | 0.680757 | + | 0.932379i | ||||
\(836\) | 9.95758 | 0.344390 | ||||||||
\(837\) | − | 6.96479i | − | 0.240738i | ||||||
\(838\) | 19.8477i | 0.685629i | ||||||||
\(839\) | 35.1066 | 1.21201 | 0.606007 | − | 0.795460i | \(-0.292771\pi\) | ||||
0.606007 | + | 0.795460i | \(0.292771\pi\) | |||||||
\(840\) | 7.61764 | + | 10.4333i | 0.262834 | + | 0.359983i | ||||
\(841\) | 19.8599 | 0.684824 | ||||||||
\(842\) | 26.7885i | 0.923191i | ||||||||
\(843\) | − | 17.6550i | − | 0.608071i | ||||||
\(844\) | −8.98113 | −0.309143 | ||||||||
\(845\) | 67.0473 | − | 48.9532i | 2.30650 | − | 1.68404i | ||||
\(846\) | −17.8127 | −0.612413 | ||||||||
\(847\) | − | 1.00000i | − | 0.0343604i | ||||||
\(848\) | − | 30.7530i | − | 1.05606i | ||||||
\(849\) | −18.7184 | −0.642413 | ||||||||
\(850\) | −3.70214 | + | 11.5783i | −0.126982 | + | 0.397134i | ||||
\(851\) | −22.5267 | −0.772206 | ||||||||
\(852\) | − | 50.4125i | − | 1.72710i | ||||||
\(853\) | − | 49.6915i | − | 1.70140i | −0.525648 | − | 0.850702i | \(-0.676177\pi\) | ||
0.525648 | − | 0.850702i | \(-0.323823\pi\) | |||||||
\(854\) | −3.85307 | −0.131849 | ||||||||
\(855\) | 4.18063 | − | 3.05240i | 0.142974 | − | 0.104390i | ||||
\(856\) | −103.321 | −3.53145 | ||||||||
\(857\) | 23.5393i | 0.804089i | 0.915620 | + | 0.402044i | \(0.131700\pi\) | ||||
−0.915620 | + | 0.402044i | \(0.868300\pi\) | |||||||
\(858\) | − | 17.7726i | − | 0.606748i | ||||||
\(859\) | 37.5900 | 1.28255 | 0.641277 | − | 0.767309i | \(-0.278405\pi\) | ||||
0.641277 | + | 0.767309i | \(0.278405\pi\) | |||||||
\(860\) | −72.2015 | − | 98.8888i | −2.46205 | − | 3.37208i | ||||
\(861\) | −8.89382 | −0.303100 | ||||||||
\(862\) | − | 60.3657i | − | 2.05606i | ||||||
\(863\) | − | 42.8614i | − | 1.45902i | −0.683971 | − | 0.729510i | \(-0.739748\pi\) | ||
0.683971 | − | 0.729510i | \(-0.260252\pi\) | |||||||
\(864\) | 3.25488 | 0.110733 | ||||||||
\(865\) | 8.11143 | + | 11.1096i | 0.275797 | + | 0.377737i | ||||
\(866\) | −68.7424 | −2.33596 | ||||||||
\(867\) | 16.0620i | 0.545495i | ||||||||
\(868\) | 29.9586i | 1.01686i | ||||||||
\(869\) | 13.1925 | 0.447527 | ||||||||
\(870\) | −31.6882 | + | 23.1365i | −1.07433 | + | 0.784400i | ||||
\(871\) | 26.2580 | 0.889717 | ||||||||
\(872\) | 27.8419i | 0.942844i | ||||||||
\(873\) | − | 4.07780i | − | 0.138013i | ||||||
\(874\) | −29.8056 | −1.00819 | ||||||||
\(875\) | 10.6086 | − | 3.52957i | 0.358636 | − | 0.119321i | ||||
\(876\) | −8.37501 | −0.282965 | ||||||||
\(877\) | 29.7136i | 1.00336i | 0.865054 | + | 0.501678i | \(0.167284\pi\) | ||||
−0.865054 | + | 0.501678i | \(0.832716\pi\) | |||||||
\(878\) | − | 75.1666i | − | 2.53675i | ||||||
\(879\) | 16.4342 | 0.554310 | ||||||||
\(880\) | 10.6541 | − | 7.77887i | 0.359150 | − | 0.262226i | ||||
\(881\) | 29.1253 | 0.981256 | 0.490628 | − | 0.871369i | \(-0.336767\pi\) | ||||
0.490628 | + | 0.871369i | \(0.336767\pi\) | |||||||
\(882\) | 2.51027i | 0.0845251i | ||||||||
\(883\) | − | 28.2491i | − | 0.950659i | −0.879808 | − | 0.475330i | \(-0.842329\pi\) | ||
0.879808 | − | 0.475330i | \(-0.157671\pi\) | |||||||
\(884\) | −29.4944 | −0.992005 | ||||||||
\(885\) | 11.1902 | + | 15.3263i | 0.376154 | + | 0.515189i | ||||
\(886\) | −37.8119 | −1.27032 | ||||||||
\(887\) | − | 19.2729i | − | 0.647122i | −0.946207 | − | 0.323561i | \(-0.895120\pi\) | ||
0.946207 | − | 0.323561i | \(-0.104880\pi\) | |||||||
\(888\) | 25.3735i | 0.851479i | ||||||||
\(889\) | −5.32684 | −0.178656 | ||||||||
\(890\) | −41.7951 | − | 57.2435i | −1.40097 | − | 1.91881i | ||||
\(891\) | −1.00000 | −0.0335013 | ||||||||
\(892\) | − | 113.969i | − | 3.81597i | ||||||
\(893\) | − | 16.4267i | − | 0.549697i | ||||||
\(894\) | 31.3846 | 1.04966 | ||||||||
\(895\) | −1.11079 | + | 0.811022i | −0.0371297 | + | 0.0271095i | ||||
\(896\) | 15.6180 | 0.521761 | ||||||||
\(897\) | 36.3136i | 1.21248i | ||||||||
\(898\) | 50.7295i | 1.69287i | ||||||||
\(899\) | −48.6838 | −1.62370 | ||||||||
\(900\) | 6.55017 | − | 20.4855i | 0.218339 | − | 0.682849i | ||||
\(901\) | 5.04854 | 0.168191 | ||||||||
\(902\) | 22.3259i | 0.743370i | ||||||||
\(903\) | − | 12.7301i | − | 0.423631i | ||||||
\(904\) | −91.2387 | −3.03455 | ||||||||
\(905\) | −29.3464 | + | 21.4266i | −0.975507 | + | 0.712245i | ||||
\(906\) | 36.4408 | 1.21067 | ||||||||
\(907\) | 12.9313i | 0.429378i | 0.976683 | + | 0.214689i | \(0.0688737\pi\) | ||||
−0.976683 | + | 0.214689i | \(0.931126\pi\) | |||||||
\(908\) | 0.904281i | 0.0300096i | ||||||||
\(909\) | 3.88589 | 0.128887 | ||||||||
\(910\) | 23.4343 | + | 32.0962i | 0.776841 | + | 1.06398i | ||||
\(911\) | 31.3233 | 1.03779 | 0.518893 | − | 0.854839i | \(-0.326344\pi\) | ||||
0.518893 | + | 0.854839i | \(0.326344\pi\) | |||||||
\(912\) | 13.6570i | 0.452229i | ||||||||
\(913\) | − | 8.06703i | − | 0.266980i | ||||||
\(914\) | −2.61929 | −0.0866384 | ||||||||
\(915\) | 2.02389 | + | 2.77197i | 0.0669079 | + | 0.0916385i | ||||
\(916\) | −3.22730 | −0.106633 | ||||||||
\(917\) | − | 17.1131i | − | 0.565123i | ||||||
\(918\) | 2.43116i | 0.0802403i | ||||||||
\(919\) | −13.1093 | −0.432436 | −0.216218 | − | 0.976345i | \(-0.569372\pi\) | ||||
−0.216218 | + | 0.976345i | \(0.569372\pi\) | |||||||
\(920\) | −53.5129 | + | 39.0713i | −1.76427 | + | 1.28814i | ||||
\(921\) | 28.0691 | 0.924909 | ||||||||
\(922\) | − | 14.4379i | − | 0.475485i | ||||||
\(923\) | − | 82.9768i | − | 2.73121i | ||||||
\(924\) | 4.30144 | 0.141507 | ||||||||
\(925\) | 20.9167 | + | 6.68805i | 0.687737 | + | 0.219902i | ||||
\(926\) | −85.2942 | −2.80294 | ||||||||
\(927\) | − | 6.12722i | − | 0.201244i | ||||||
\(928\) | − | 22.7516i | − | 0.746857i | ||||||
\(929\) | −19.4008 | −0.636520 | −0.318260 | − | 0.948003i | \(-0.603099\pi\) | ||||
−0.318260 | + | 0.948003i | \(0.603099\pi\) | |||||||
\(930\) | 31.5740 | − | 23.0531i | 1.03535 | − | 0.755940i | ||||
\(931\) | −2.31494 | −0.0758692 | ||||||||
\(932\) | − | 63.2786i | − | 2.07276i | ||||||
\(933\) | − | 5.23614i | − | 0.171424i | ||||||
\(934\) | 4.18313 | 0.136876 | ||||||||
\(935\) | 1.27701 | + | 1.74902i | 0.0417627 | + | 0.0571992i | ||||
\(936\) | 40.9027 | 1.33695 | ||||||||
\(937\) | − | 17.3747i | − | 0.567608i | −0.958882 | − | 0.283804i | \(-0.908403\pi\) | ||
0.958882 | − | 0.283804i | \(-0.0915965\pi\) | |||||||
\(938\) | 9.30998i | 0.303982i | ||||||||
\(939\) | −5.12312 | −0.167187 | ||||||||
\(940\) | −40.2461 | − | 55.1220i | −1.31268 | − | 1.79788i | ||||
\(941\) | 22.9140 | 0.746975 | 0.373487 | − | 0.927635i | \(-0.378162\pi\) | ||||
0.373487 | + | 0.927635i | \(0.378162\pi\) | |||||||
\(942\) | 34.0401i | 1.10909i | ||||||||
\(943\) | − | 45.6169i | − | 1.48549i | ||||||
\(944\) | −50.0671 | −1.62955 | ||||||||
\(945\) | 1.80593 | − | 1.31856i | 0.0587470 | − | 0.0428928i | ||||
\(946\) | −31.9559 | −1.03898 | ||||||||
\(947\) | − | 25.7109i | − | 0.835493i | −0.908564 | − | 0.417746i | \(-0.862820\pi\) | ||
0.908564 | − | 0.417746i | \(-0.137180\pi\) | |||||||
\(948\) | 56.7470i | 1.84306i | ||||||||
\(949\) | −13.7849 | −0.447477 | ||||||||
\(950\) | 27.6753 | + | 8.84909i | 0.897905 | + | 0.287102i | ||||
\(951\) | 2.66847 | 0.0865312 | ||||||||
\(952\) | − | 5.59518i | − | 0.181341i | ||||||
\(953\) | 35.0339i | 1.13486i | 0.823422 | + | 0.567429i | \(0.192062\pi\) | ||||
−0.823422 | + | 0.567429i | \(0.807938\pi\) | |||||||
\(954\) | −13.0855 | −0.423660 | ||||||||
\(955\) | 10.0690 | − | 7.35167i | 0.325825 | − | 0.237894i | ||||
\(956\) | 27.2331 | 0.880780 | ||||||||
\(957\) | 6.98999i | 0.225954i | ||||||||
\(958\) | − | 46.5455i | − | 1.50382i | ||||||
\(959\) | −2.36803 | −0.0764678 | ||||||||
\(960\) | −4.78427 | − | 6.55264i | −0.154412 | − | 0.211485i | ||||
\(961\) | 17.5083 | 0.564784 | ||||||||
\(962\) | 78.0572i | 2.51666i | ||||||||
\(963\) | 17.8842i | 0.576311i | ||||||||
\(964\) | −100.530 | −3.23786 | ||||||||
\(965\) | 11.5857 | + | 15.8680i | 0.372956 | + | 0.510809i | ||||
\(966\) | −12.8753 | −0.414256 | ||||||||
\(967\) | − | 8.81007i | − | 0.283313i | −0.989916 | − | 0.141656i | \(-0.954757\pi\) | ||
0.989916 | − | 0.141656i | \(-0.0452428\pi\) | |||||||
\(968\) | − | 5.77723i | − | 0.185687i | ||||||
\(969\) | −2.24199 | −0.0720232 | ||||||||
\(970\) | 18.4862 | − | 13.4973i | 0.593555 | − | 0.433372i | ||||
\(971\) | −0.734125 | −0.0235592 | −0.0117796 | − | 0.999931i | \(-0.503750\pi\) | ||||
−0.0117796 | + | 0.999931i | \(0.503750\pi\) | |||||||
\(972\) | − | 4.30144i | − | 0.137969i | ||||||
\(973\) | 4.62584i | 0.148298i | ||||||||
\(974\) | 93.5455 | 2.99739 | ||||||||
\(975\) | 10.7813 | − | 33.7182i | 0.345278 | − | 1.07985i | ||||
\(976\) | −9.05530 | −0.289853 | ||||||||
\(977\) | 28.2054i | 0.902370i | 0.892431 | + | 0.451185i | \(0.148998\pi\) | ||||
−0.892431 | + | 0.451185i | \(0.851002\pi\) | |||||||
\(978\) | 41.1998i | 1.31743i | ||||||||
\(979\) | −12.6271 | −0.403565 | ||||||||
\(980\) | −7.76811 | + | 5.67172i | −0.248143 | + | 0.181176i | ||||
\(981\) | 4.81924 | 0.153866 | ||||||||
\(982\) | − | 87.9813i | − | 2.80760i | ||||||
\(983\) | − | 46.1964i | − | 1.47343i | −0.676201 | − | 0.736717i | \(-0.736375\pi\) | ||
0.676201 | − | 0.736717i | \(-0.263625\pi\) | |||||||
\(984\) | −51.3816 | −1.63799 | ||||||||
\(985\) | 9.04184 | + | 12.3839i | 0.288097 | + | 0.394584i | ||||
\(986\) | 16.9938 | 0.541193 | ||||||||
\(987\) | − | 7.09593i | − | 0.225866i | ||||||
\(988\) | 70.4995i | 2.24289i | ||||||||
\(989\) | 65.2933 | 2.07621 | ||||||||
\(990\) | −3.30994 | − | 4.53337i | −0.105197 | − | 0.144080i | ||||
\(991\) | −0.269472 | −0.00856005 | −0.00428003 | − | 0.999991i | \(-0.501362\pi\) | ||||
−0.00428003 | + | 0.999991i | \(0.501362\pi\) | |||||||
\(992\) | 22.6696i | 0.719760i | ||||||||
\(993\) | − | 27.1033i | − | 0.860097i | ||||||
\(994\) | 29.4201 | 0.933149 | ||||||||
\(995\) | 1.98515 | − | 1.44942i | 0.0629336 | − | 0.0459496i | ||||
\(996\) | 34.6999 | 1.09951 | ||||||||
\(997\) | − | 41.6719i | − | 1.31976i | −0.751369 | − | 0.659882i | \(-0.770606\pi\) | ||
0.751369 | − | 0.659882i | \(-0.229394\pi\) | |||||||
\(998\) | 5.13104i | 0.162420i | ||||||||
\(999\) | 4.39198 | 0.138956 |
(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 | 1155.2.c.e.694.18 | yes | 20 | |
5.2 | odd | 4 | 5775.2.a.cp.1.1 | 10 | |||
5.3 | odd | 4 | 5775.2.a.cm.1.10 | 10 | |||
5.4 | even | 2 | inner | 1155.2.c.e.694.3 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.c.e.694.3 | ✓ | 20 | 5.4 | even | 2 | inner | |
1155.2.c.e.694.18 | yes | 20 | 1.1 | even | 1 | trivial | |
5775.2.a.cm.1.10 | 10 | 5.3 | odd | 4 | |||
5775.2.a.cp.1.1 | 10 | 5.2 | odd | 4 |