Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 421.1 | ||
Root | \(0.669131 + 0.743145i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.421 |
Dual form | 930.2.bg.a.391.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | −0.913545 | + | 0.406737i | −0.527436 | + | 0.234830i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | −2.44512 | − | 2.71559i | −0.924170 | − | 1.02640i | −0.999572 | − | 0.0292419i | \(-0.990691\pi\) |
0.0754020 | − | 0.997153i | \(-0.475976\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.669131 | − | 0.743145i | 0.223044 | − | 0.247715i | ||||
\(10\) | −0.913545 | − | 0.406737i | −0.288888 | − | 0.128621i | ||||
\(11\) | −4.12260 | + | 0.876286i | −1.24301 | + | 0.264210i | −0.782053 | − | 0.623212i | \(-0.785828\pi\) |
−0.460958 | + | 0.887422i | \(0.652494\pi\) | |||||||
\(12\) | 0.104528 | + | 0.994522i | 0.0301748 | + | 0.287094i | ||||
\(13\) | −0.492608 | + | 4.68685i | −0.136625 | + | 1.29990i | 0.684442 | + | 0.729067i | \(0.260046\pi\) |
−0.821067 | + | 0.570832i | \(0.806621\pi\) | |||||||
\(14\) | 3.57433 | + | 0.759747i | 0.955280 | + | 0.203051i | ||||
\(15\) | −0.809017 | − | 0.587785i | −0.208887 | − | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 6.16157 | + | 1.30968i | 1.49440 | + | 0.317645i | 0.881375 | − | 0.472418i | \(-0.156619\pi\) |
0.613026 | + | 0.790062i | \(0.289952\pi\) | |||||||
\(18\) | −0.104528 | + | 0.994522i | −0.0246376 | + | 0.234411i | ||||
\(19\) | −0.488830 | − | 4.65090i | −0.112145 | − | 1.06699i | −0.895392 | − | 0.445279i | \(-0.853104\pi\) |
0.783247 | − | 0.621711i | \(-0.213562\pi\) | |||||||
\(20\) | 0.978148 | − | 0.207912i | 0.218720 | − | 0.0464905i | ||||
\(21\) | 3.33826 | + | 1.48629i | 0.728468 | + | 0.324335i | ||||
\(22\) | 2.82019 | − | 3.13214i | 0.601266 | − | 0.667773i | ||||
\(23\) | 0.0646021 | + | 0.198825i | 0.0134705 | + | 0.0414579i | 0.957566 | − | 0.288215i | \(-0.0930617\pi\) |
−0.944095 | + | 0.329673i | \(0.893062\pi\) | |||||||
\(24\) | −0.669131 | − | 0.743145i | −0.136586 | − | 0.151694i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.35634 | − | 4.08129i | −0.462115 | − | 0.800407i | ||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | −3.33826 | + | 1.48629i | −0.630872 | + | 0.280882i | ||||
\(29\) | 7.23968 | − | 5.25994i | 1.34438 | − | 0.976746i | 0.345104 | − | 0.938564i | \(-0.387844\pi\) |
0.999271 | − | 0.0381813i | \(-0.0121564\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 1.82019 | − | 5.26184i | 0.326915 | − | 0.945054i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 3.40977 | − | 2.47734i | 0.593564 | − | 0.431250i | ||||
\(34\) | −5.75463 | + | 2.56213i | −0.986911 | + | 0.439401i | ||||
\(35\) | 1.12920 | − | 3.47533i | 0.190870 | − | 0.587439i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −0.469210 | + | 0.812696i | −0.0771377 | + | 0.133606i | −0.902014 | − | 0.431707i | \(-0.857911\pi\) |
0.824876 | + | 0.565313i | \(0.191245\pi\) | |||||||
\(38\) | 3.12920 | + | 3.47533i | 0.507624 | + | 0.563774i | ||||
\(39\) | −1.45630 | − | 4.48202i | −0.233194 | − | 0.717697i | ||||
\(40\) | −0.669131 | + | 0.743145i | −0.105799 | + | 0.117502i | ||||
\(41\) | −4.10219 | − | 1.82641i | −0.640655 | − | 0.285238i | 0.0605853 | − | 0.998163i | \(-0.480703\pi\) |
−0.701240 | + | 0.712925i | \(0.747370\pi\) | |||||||
\(42\) | −3.57433 | + | 0.759747i | −0.551531 | + | 0.117232i | ||||
\(43\) | −0.868460 | − | 8.26285i | −0.132439 | − | 1.26007i | −0.835718 | − | 0.549159i | \(-0.814948\pi\) |
0.703279 | − | 0.710914i | \(-0.251718\pi\) | |||||||
\(44\) | −0.440557 | + | 4.19162i | −0.0664164 | + | 0.631910i | ||||
\(45\) | 0.978148 | + | 0.207912i | 0.145814 | + | 0.0309936i | ||||
\(46\) | −0.169131 | − | 0.122881i | −0.0249369 | − | 0.0181178i | ||||
\(47\) | 6.16157 | + | 4.47665i | 0.898758 | + | 0.652986i | 0.938147 | − | 0.346238i | \(-0.112541\pi\) |
−0.0393888 | + | 0.999224i | \(0.512541\pi\) | |||||||
\(48\) | 0.978148 | + | 0.207912i | 0.141183 | + | 0.0300095i | ||||
\(49\) | −0.664074 | + | 6.31824i | −0.0948677 | + | 0.902606i | ||||
\(50\) | −0.104528 | − | 0.994522i | −0.0147826 | − | 0.140647i | ||||
\(51\) | −6.16157 | + | 1.30968i | −0.862793 | + | 0.183392i | ||||
\(52\) | 4.30524 | + | 1.91682i | 0.597029 | + | 0.265815i | ||||
\(53\) | 5.61048 | − | 6.23107i | 0.770658 | − | 0.855903i | −0.222225 | − | 0.974995i | \(-0.571332\pi\) |
0.992883 | + | 0.119093i | \(0.0379986\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | −2.82019 | − | 3.13214i | −0.380274 | − | 0.422337i | ||||
\(56\) | 1.82709 | − | 3.16461i | 0.244155 | − | 0.422889i | ||||
\(57\) | 2.33826 | + | 4.04999i | 0.309710 | + | 0.536434i | ||||
\(58\) | −2.76531 | + | 8.51076i | −0.363103 | + | 1.11752i | ||||
\(59\) | 3.15563 | − | 1.40497i | 0.410827 | − | 0.182912i | −0.190907 | − | 0.981608i | \(-0.561143\pi\) |
0.601735 | + | 0.798696i | \(0.294476\pi\) | |||||||
\(60\) | −0.809017 | + | 0.587785i | −0.104444 | + | 0.0758827i | ||||
\(61\) | 6.42941 | 0.823201 | 0.411601 | − | 0.911364i | \(-0.364970\pi\) | ||||
0.411601 | + | 0.911364i | \(0.364970\pi\) | |||||||
\(62\) | 1.62027 | + | 5.32679i | 0.205774 | + | 0.676504i | ||||
\(63\) | −3.65418 | −0.460384 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −4.30524 | + | 1.91682i | −0.533999 | + | 0.237752i | ||||
\(66\) | −1.30242 | + | 4.00842i | −0.160316 | + | 0.493403i | ||||
\(67\) | 5.06677 | + | 8.77591i | 0.619005 | + | 1.07215i | 0.989668 | + | 0.143380i | \(0.0457972\pi\) |
−0.370663 | + | 0.928767i | \(0.620869\pi\) | |||||||
\(68\) | 3.14961 | − | 5.45529i | 0.381947 | − | 0.661551i | ||||
\(69\) | −0.139886 | − | 0.155360i | −0.0168403 | − | 0.0187031i | ||||
\(70\) | 1.12920 | + | 3.47533i | 0.134966 | + | 0.415382i | ||||
\(71\) | 6.53818 | − | 7.26139i | 0.775939 | − | 0.861768i | −0.217508 | − | 0.976059i | \(-0.569793\pi\) |
0.993447 | + | 0.114291i | \(0.0364595\pi\) | |||||||
\(72\) | 0.913545 | + | 0.406737i | 0.107662 | + | 0.0479344i | ||||
\(73\) | −0.618034 | + | 0.131367i | −0.0723354 | + | 0.0153754i | −0.243937 | − | 0.969791i | \(-0.578439\pi\) |
0.171602 | + | 0.985166i | \(0.445106\pi\) | |||||||
\(74\) | −0.0980917 | − | 0.933280i | −0.0114029 | − | 0.108492i | ||||
\(75\) | 0.104528 | − | 0.994522i | 0.0120699 | − | 0.114837i | ||||
\(76\) | −4.57433 | − | 0.972304i | −0.524712 | − | 0.111531i | ||||
\(77\) | 12.4599 | + | 9.05265i | 1.41994 | + | 1.03165i | ||||
\(78\) | 3.81263 | + | 2.77004i | 0.431695 | + | 0.313645i | ||||
\(79\) | 2.09805 | + | 0.445954i | 0.236049 | + | 0.0501738i | 0.324417 | − | 0.945914i | \(-0.394832\pi\) |
−0.0883681 | + | 0.996088i | \(0.528165\pi\) | |||||||
\(80\) | 0.104528 | − | 0.994522i | 0.0116866 | − | 0.111191i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | 4.39228 | − | 0.933609i | 0.485047 | − | 0.103100i | ||||
\(83\) | 7.22851 | + | 3.21834i | 0.793432 | + | 0.353259i | 0.763099 | − | 0.646281i | \(-0.223677\pi\) |
0.0303327 | + | 0.999540i | \(0.490343\pi\) | |||||||
\(84\) | 2.44512 | − | 2.71559i | 0.266785 | − | 0.296295i | ||||
\(85\) | 1.94657 | + | 5.99092i | 0.211135 | + | 0.649807i | ||||
\(86\) | 5.55938 | + | 6.17432i | 0.599483 | + | 0.665794i | ||||
\(87\) | −4.47437 | + | 7.74983i | −0.479703 | + | 0.830869i | ||||
\(88\) | −2.10735 | − | 3.65004i | −0.224644 | − | 0.389096i | ||||
\(89\) | 4.52498 | − | 13.9264i | 0.479647 | − | 1.47620i | −0.359940 | − | 0.932975i | \(-0.617203\pi\) |
0.839587 | − | 0.543225i | \(-0.182797\pi\) | |||||||
\(90\) | −0.913545 | + | 0.406737i | −0.0962961 | + | 0.0428738i | ||||
\(91\) | 13.9320 | − | 10.1222i | 1.46048 | − | 1.06110i | ||||
\(92\) | 0.209057 | 0.0217957 | ||||||||
\(93\) | 0.477358 | + | 5.54726i | 0.0494997 | + | 0.575224i | ||||
\(94\) | −7.61612 | −0.785543 | ||||||||
\(95\) | 3.78339 | − | 2.74879i | 0.388167 | − | 0.282020i | ||||
\(96\) | −0.913545 | + | 0.406737i | −0.0932383 | + | 0.0415124i | ||||
\(97\) | −0.0901699 | + | 0.277515i | −0.00915537 | + | 0.0281773i | −0.955530 | − | 0.294894i | \(-0.904716\pi\) |
0.946374 | + | 0.323072i | \(0.104716\pi\) | |||||||
\(98\) | −3.17652 | − | 5.50190i | −0.320877 | − | 0.555776i | ||||
\(99\) | −2.10735 | + | 3.65004i | −0.211797 | + | 0.366843i | ||||
\(100\) | 0.669131 | + | 0.743145i | 0.0669131 | + | 0.0743145i | ||||
\(101\) | −1.50660 | − | 4.63684i | −0.149912 | − | 0.461383i | 0.847697 | − | 0.530480i | \(-0.177988\pi\) |
−0.997610 | + | 0.0690968i | \(0.977988\pi\) | |||||||
\(102\) | 4.21501 | − | 4.68124i | 0.417348 | − | 0.463512i | ||||
\(103\) | −5.74257 | − | 2.55676i | −0.565832 | − | 0.251925i | 0.103824 | − | 0.994596i | \(-0.466892\pi\) |
−0.669656 | + | 0.742671i | \(0.733559\pi\) | |||||||
\(104\) | −4.60969 | + | 0.979819i | −0.452017 | + | 0.0960792i | ||||
\(105\) | 0.381966 | + | 3.63416i | 0.0372761 | + | 0.354658i | ||||
\(106\) | −0.876443 | + | 8.33879i | −0.0851276 | + | 0.809935i | ||||
\(107\) | 3.33635 | + | 0.709163i | 0.322537 | + | 0.0685574i | 0.366335 | − | 0.930483i | \(-0.380612\pi\) |
−0.0437978 | + | 0.999040i | \(0.513946\pi\) | |||||||
\(108\) | 0.809017 | + | 0.587785i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | −10.0047 | − | 7.26882i | −0.958274 | − | 0.696227i | −0.00552447 | − | 0.999985i | \(-0.501759\pi\) |
−0.952749 | + | 0.303758i | \(0.901759\pi\) | |||||||
\(110\) | 4.12260 | + | 0.876286i | 0.393075 | + | 0.0835506i | ||||
\(111\) | 0.0980917 | − | 0.933280i | 0.00931045 | − | 0.0885830i | ||||
\(112\) | 0.381966 | + | 3.63416i | 0.0360924 | + | 0.343396i | ||||
\(113\) | −5.28493 | + | 1.12335i | −0.497165 | + | 0.105676i | −0.449668 | − | 0.893196i | \(-0.648458\pi\) |
−0.0474966 | + | 0.998871i | \(0.515124\pi\) | |||||||
\(114\) | −4.27222 | − | 1.90211i | −0.400130 | − | 0.178149i | ||||
\(115\) | −0.139886 | + | 0.155360i | −0.0130445 | + | 0.0144874i | ||||
\(116\) | −2.76531 | − | 8.51076i | −0.256753 | − | 0.790204i | ||||
\(117\) | 3.15339 | + | 3.50220i | 0.291531 | + | 0.323778i | ||||
\(118\) | −1.72713 | + | 2.99148i | −0.158995 | + | 0.275388i | ||||
\(119\) | −11.5093 | − | 19.9346i | −1.05505 | − | 1.82740i | ||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | 6.17897 | − | 2.75106i | 0.561725 | − | 0.250096i | ||||
\(122\) | −5.20150 | + | 3.77911i | −0.470922 | + | 0.342145i | ||||
\(123\) | 4.49041 | 0.404887 | ||||||||
\(124\) | −4.44183 | − | 3.35710i | −0.398889 | − | 0.301476i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 2.95630 | − | 2.14787i | 0.263368 | − | 0.191348i | ||||
\(127\) | −11.6161 | + | 5.17183i | −1.03076 | + | 0.458926i | −0.851212 | − | 0.524823i | \(-0.824132\pi\) |
−0.179553 | + | 0.983748i | \(0.557465\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 4.15418 | + | 7.19525i | 0.365755 | + | 0.633507i | ||||
\(130\) | 2.35634 | − | 4.08129i | 0.206664 | − | 0.357953i | ||||
\(131\) | 13.6230 | + | 15.1299i | 1.19025 | + | 1.32191i | 0.934838 | + | 0.355073i | \(0.115544\pi\) |
0.255411 | + | 0.966833i | \(0.417789\pi\) | |||||||
\(132\) | −1.30242 | − | 4.00842i | −0.113361 | − | 0.348888i | ||||
\(133\) | −11.4347 | + | 12.6995i | −0.991513 | + | 1.10119i | ||||
\(134\) | −9.25745 | − | 4.12168i | −0.799722 | − | 0.356059i | ||||
\(135\) | −0.978148 | + | 0.207912i | −0.0841855 | + | 0.0178942i | ||||
\(136\) | 0.658449 | + | 6.26472i | 0.0564615 | + | 0.537195i | ||||
\(137\) | 0.913745 | − | 8.69370i | 0.0780665 | − | 0.742753i | −0.883546 | − | 0.468344i | \(-0.844851\pi\) |
0.961613 | − | 0.274410i | \(-0.0884824\pi\) | |||||||
\(138\) | 0.204489 | + | 0.0434654i | 0.0174072 | + | 0.00370002i | ||||
\(139\) | 16.0028 | + | 11.6267i | 1.35734 | + | 0.986163i | 0.998609 | + | 0.0527201i | \(0.0167891\pi\) |
0.358727 | + | 0.933442i | \(0.383211\pi\) | |||||||
\(140\) | −2.95630 | − | 2.14787i | −0.249853 | − | 0.181529i | ||||
\(141\) | −7.44969 | − | 1.58348i | −0.627377 | − | 0.133353i | ||||
\(142\) | −1.02136 | + | 9.71763i | −0.0857110 | + | 0.815486i | ||||
\(143\) | −2.07620 | − | 19.7537i | −0.173620 | − | 1.65189i | ||||
\(144\) | −0.978148 | + | 0.207912i | −0.0815123 | + | 0.0173260i | ||||
\(145\) | 8.17508 | + | 3.63978i | 0.678903 | + | 0.302267i | ||||
\(146\) | 0.422784 | − | 0.469550i | 0.0349899 | − | 0.0388602i | ||||
\(147\) | −1.96320 | − | 6.04210i | −0.161922 | − | 0.498344i | ||||
\(148\) | 0.627926 | + | 0.697383i | 0.0516152 | + | 0.0573245i | ||||
\(149\) | −4.91121 | + | 8.50647i | −0.402342 | + | 0.696877i | −0.994008 | − | 0.109306i | \(-0.965137\pi\) |
0.591666 | + | 0.806183i | \(0.298470\pi\) | |||||||
\(150\) | 0.500000 | + | 0.866025i | 0.0408248 | + | 0.0707107i | ||||
\(151\) | −1.41686 | + | 4.36064i | −0.115302 | + | 0.354864i | −0.992010 | − | 0.126160i | \(-0.959735\pi\) |
0.876708 | + | 0.481023i | \(0.159735\pi\) | |||||||
\(152\) | 4.27222 | − | 1.90211i | 0.346522 | − | 0.154282i | ||||
\(153\) | 5.09618 | − | 3.70259i | 0.412002 | − | 0.299337i | ||||
\(154\) | −15.4013 | −1.24107 | ||||||||
\(155\) | 5.46698 | − | 1.05459i | 0.439118 | − | 0.0847067i | ||||
\(156\) | −4.71267 | −0.377316 | ||||||||
\(157\) | −0.776482 | + | 0.564148i | −0.0619700 | + | 0.0450239i | −0.618339 | − | 0.785911i | \(-0.712194\pi\) |
0.556369 | + | 0.830935i | \(0.312194\pi\) | |||||||
\(158\) | −1.95948 | + | 0.872418i | −0.155888 | + | 0.0694059i | ||||
\(159\) | −2.59102 | + | 7.97435i | −0.205481 | + | 0.632407i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 0.381966 | − | 0.661585i | 0.0301031 | − | 0.0521402i | ||||
\(162\) | 0.669131 | + | 0.743145i | 0.0525719 | + | 0.0583870i | ||||
\(163\) | −3.78446 | − | 11.6474i | −0.296422 | − | 0.912294i | −0.982740 | − | 0.184992i | \(-0.940774\pi\) |
0.686318 | − | 0.727302i | \(-0.259226\pi\) | |||||||
\(164\) | −3.00467 | + | 3.33702i | −0.234625 | + | 0.260578i | ||||
\(165\) | 3.85032 | + | 1.71427i | 0.299747 | + | 0.133456i | ||||
\(166\) | −7.73968 | + | 1.64512i | −0.600716 | + | 0.127686i | ||||
\(167\) | 0.568215 | + | 5.40621i | 0.0439698 | + | 0.418345i | 0.994261 | + | 0.106982i | \(0.0341188\pi\) |
−0.950291 | + | 0.311363i | \(0.899215\pi\) | |||||||
\(168\) | −0.381966 | + | 3.63416i | −0.0294693 | + | 0.280382i | ||||
\(169\) | −9.00802 | − | 1.91471i | −0.692924 | − | 0.147286i | ||||
\(170\) | −5.09618 | − | 3.70259i | −0.390859 | − | 0.283976i | ||||
\(171\) | −3.78339 | − | 2.74879i | −0.289323 | − | 0.210205i | ||||
\(172\) | −8.12681 | − | 1.72741i | −0.619663 | − | 0.131713i | ||||
\(173\) | −2.11889 | + | 20.1599i | −0.161096 | + | 1.53273i | 0.553299 | + | 0.832983i | \(0.313369\pi\) |
−0.714395 | + | 0.699743i | \(0.753298\pi\) | |||||||
\(174\) | −0.935398 | − | 8.89972i | −0.0709123 | − | 0.674686i | ||||
\(175\) | 3.57433 | − | 0.759747i | 0.270194 | − | 0.0574315i | ||||
\(176\) | 3.85032 | + | 1.71427i | 0.290229 | + | 0.129218i | ||||
\(177\) | −2.31135 | + | 2.56702i | −0.173732 | + | 0.192949i | ||||
\(178\) | 4.52498 | + | 13.9264i | 0.339161 | + | 1.04383i | ||||
\(179\) | 4.82293 | + | 5.35640i | 0.360482 | + | 0.400356i | 0.895918 | − | 0.444220i | \(-0.146519\pi\) |
−0.535435 | + | 0.844576i | \(0.679852\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | −1.50670 | − | 2.60969i | −0.111992 | − | 0.193977i | 0.804581 | − | 0.593843i | \(-0.202390\pi\) |
−0.916574 | + | 0.399866i | \(0.869057\pi\) | |||||||
\(182\) | −5.32157 | + | 16.3781i | −0.394461 | + | 1.21403i | ||||
\(183\) | −5.87356 | + | 2.61508i | −0.434186 | + | 0.193312i | ||||
\(184\) | −0.169131 | + | 0.122881i | −0.0124685 | + | 0.00905888i | ||||
\(185\) | −0.938421 | −0.0689941 | ||||||||
\(186\) | −3.64679 | − | 4.20725i | −0.267396 | − | 0.308490i | ||||
\(187\) | −26.5494 | −1.94148 | ||||||||
\(188\) | 6.16157 | − | 4.47665i | 0.449379 | − | 0.326493i | ||||
\(189\) | 3.33826 | − | 1.48629i | 0.242823 | − | 0.108112i | ||||
\(190\) | −1.44512 | + | 4.44764i | −0.104840 | + | 0.322666i | ||||
\(191\) | −8.32315 | − | 14.4161i | −0.602242 | − | 1.04311i | −0.992481 | − | 0.122400i | \(-0.960941\pi\) |
0.390239 | − | 0.920714i | \(-0.372392\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −15.6822 | − | 17.4168i | −1.12883 | − | 1.25369i | −0.963575 | − | 0.267438i | \(-0.913823\pi\) |
−0.165252 | − | 0.986251i | \(-0.552844\pi\) | |||||||
\(194\) | −0.0901699 | − | 0.277515i | −0.00647382 | − | 0.0199244i | ||||
\(195\) | 3.15339 | − | 3.50220i | 0.225819 | − | 0.250798i | ||||
\(196\) | 5.80380 | + | 2.58402i | 0.414557 | + | 0.184573i | ||||
\(197\) | 15.8465 | − | 3.36829i | 1.12902 | − | 0.239981i | 0.394717 | − | 0.918803i | \(-0.370843\pi\) |
0.734303 | + | 0.678822i | \(0.237509\pi\) | |||||||
\(198\) | −0.440557 | − | 4.19162i | −0.0313090 | − | 0.297885i | ||||
\(199\) | 1.81493 | − | 17.2679i | 0.128657 | − | 1.22409i | −0.719556 | − | 0.694435i | \(-0.755655\pi\) |
0.848213 | − | 0.529655i | \(-0.177679\pi\) | |||||||
\(200\) | −0.978148 | − | 0.207912i | −0.0691655 | − | 0.0147016i | ||||
\(201\) | −8.19821 | − | 5.95635i | −0.578257 | − | 0.420128i | ||||
\(202\) | 3.94433 | + | 2.86573i | 0.277522 | + | 0.201632i | ||||
\(203\) | −31.9857 | − | 6.79878i | −2.24496 | − | 0.477181i | ||||
\(204\) | −0.658449 | + | 6.26472i | −0.0461006 | + | 0.438618i | ||||
\(205\) | −0.469376 | − | 4.46581i | −0.0327826 | − | 0.311906i | ||||
\(206\) | 6.14866 | − | 1.30694i | 0.428397 | − | 0.0910587i | ||||
\(207\) | 0.190983 | + | 0.0850311i | 0.0132742 | + | 0.00591007i | ||||
\(208\) | 3.15339 | − | 3.50220i | 0.218648 | − | 0.242834i | ||||
\(209\) | 6.09077 | + | 18.7455i | 0.421308 | + | 1.29665i | ||||
\(210\) | −2.44512 | − | 2.71559i | −0.168730 | − | 0.187393i | ||||
\(211\) | 2.27510 | − | 3.94059i | 0.156625 | − | 0.271282i | −0.777025 | − | 0.629470i | \(-0.783272\pi\) |
0.933649 | + | 0.358188i | \(0.116605\pi\) | |||||||
\(212\) | −4.19236 | − | 7.26139i | −0.287933 | − | 0.498714i | ||||
\(213\) | −3.01945 | + | 9.29292i | −0.206890 | + | 0.636741i | ||||
\(214\) | −3.11600 | + | 1.38733i | −0.213005 | + | 0.0948361i | ||||
\(215\) | 6.72161 | − | 4.88353i | 0.458410 | − | 0.333054i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −18.7396 | + | 7.92297i | −1.27212 | + | 0.537846i | ||||
\(218\) | 12.3665 | 0.837562 | ||||||||
\(219\) | 0.511170 | − | 0.371387i | 0.0345417 | − | 0.0250960i | ||||
\(220\) | −3.85032 | + | 1.71427i | −0.259589 | + | 0.115576i | ||||
\(221\) | −9.17353 | + | 28.2332i | −0.617079 | + | 1.89917i | ||||
\(222\) | 0.469210 | + | 0.812696i | 0.0314913 | + | 0.0545446i | ||||
\(223\) | −0.213727 | + | 0.370187i | −0.0143122 | + | 0.0247895i | −0.873093 | − | 0.487554i | \(-0.837889\pi\) |
0.858781 | + | 0.512344i | \(0.171223\pi\) | |||||||
\(224\) | −2.44512 | − | 2.71559i | −0.163372 | − | 0.181443i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | 3.61531 | − | 4.01521i | 0.240487 | − | 0.267088i | ||||
\(227\) | 1.35495 | + | 0.603265i | 0.0899315 | + | 0.0400401i | 0.451209 | − | 0.892418i | \(-0.350993\pi\) |
−0.361278 | + | 0.932458i | \(0.617659\pi\) | |||||||
\(228\) | 4.57433 | − | 0.972304i | 0.302942 | − | 0.0643924i | ||||
\(229\) | −3.04626 | − | 28.9832i | −0.201303 | − | 1.91527i | −0.369003 | − | 0.929428i | \(-0.620301\pi\) |
0.167700 | − | 0.985838i | \(-0.446366\pi\) | |||||||
\(230\) | 0.0218524 | − | 0.207912i | 0.00144090 | − | 0.0137093i | ||||
\(231\) | −15.0647 | − | 3.20211i | −0.991187 | − | 0.210683i | ||||
\(232\) | 7.23968 | + | 5.25994i | 0.475308 | + | 0.345332i | ||||
\(233\) | −1.23761 | − | 0.899179i | −0.0810787 | − | 0.0589072i | 0.546507 | − | 0.837454i | \(-0.315957\pi\) |
−0.627586 | + | 0.778547i | \(0.715957\pi\) | |||||||
\(234\) | −4.60969 | − | 0.979819i | −0.301345 | − | 0.0640528i | ||||
\(235\) | −0.796102 | + | 7.57440i | −0.0519320 | + | 0.494100i | ||||
\(236\) | −0.361069 | − | 3.43534i | −0.0235036 | − | 0.223622i | ||||
\(237\) | −2.09805 | + | 0.445954i | −0.136283 | + | 0.0289678i | ||||
\(238\) | 21.0285 | + | 9.36248i | 1.36307 | + | 0.606879i | ||||
\(239\) | −18.8862 | + | 20.9753i | −1.22165 | + | 1.35678i | −0.307422 | + | 0.951573i | \(0.599466\pi\) |
−0.914226 | + | 0.405205i | \(0.867200\pi\) | |||||||
\(240\) | 0.309017 | + | 0.951057i | 0.0199470 | + | 0.0613904i | ||||
\(241\) | −13.9937 | − | 15.5416i | −0.901413 | − | 1.00112i | −0.999982 | − | 0.00598994i | \(-0.998093\pi\) |
0.0985695 | − | 0.995130i | \(-0.468573\pi\) | |||||||
\(242\) | −3.38186 | + | 5.85756i | −0.217394 | + | 0.376538i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.98680 | − | 6.11473i | 0.127192 | − | 0.391455i | ||||
\(245\) | −5.80380 | + | 2.58402i | −0.370791 | + | 0.165087i | ||||
\(246\) | −3.63282 | + | 2.63940i | −0.231620 | + | 0.168282i | ||||
\(247\) | 22.0389 | 1.40230 | ||||||||
\(248\) | 5.56677 | + | 0.105104i | 0.353490 | + | 0.00667413i | ||||
\(249\) | −7.91259 | −0.501440 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | −26.0298 | + | 11.5892i | −1.64299 | + | 0.731506i | −0.999426 | − | 0.0338867i | \(-0.989211\pi\) |
−0.643564 | + | 0.765393i | \(0.722545\pi\) | |||||||
\(252\) | −1.12920 | + | 3.47533i | −0.0711332 | + | 0.218925i | ||||
\(253\) | −0.440557 | − | 0.763066i | −0.0276976 | − | 0.0479736i | ||||
\(254\) | 6.35772 | − | 11.0119i | 0.398919 | − | 0.690947i | ||||
\(255\) | −4.21501 | − | 4.68124i | −0.263954 | − | 0.293150i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 0.455017 | − | 0.505348i | 0.0283832 | − | 0.0315227i | −0.728786 | − | 0.684741i | \(-0.759915\pi\) |
0.757169 | + | 0.653219i | \(0.226582\pi\) | |||||||
\(258\) | −7.59007 | − | 3.37932i | −0.472537 | − | 0.210387i | ||||
\(259\) | 3.35423 | − | 0.712963i | 0.208421 | − | 0.0443013i | ||||
\(260\) | 0.492608 | + | 4.68685i | 0.0305503 | + | 0.290666i | ||||
\(261\) | 0.935398 | − | 8.89972i | 0.0578997 | − | 0.550879i | ||||
\(262\) | −19.9144 | − | 4.23294i | −1.23032 | − | 0.261512i | ||||
\(263\) | −20.0331 | − | 14.5549i | −1.23529 | − | 0.897494i | −0.238019 | − | 0.971260i | \(-0.576498\pi\) |
−0.997276 | + | 0.0737661i | \(0.976498\pi\) | |||||||
\(264\) | 3.40977 | + | 2.47734i | 0.209857 | + | 0.152470i | ||||
\(265\) | 8.20150 | + | 1.74328i | 0.503814 | + | 0.107089i | ||||
\(266\) | 1.78627 | − | 16.9952i | 0.109523 | − | 1.04205i | ||||
\(267\) | 1.53062 | + | 14.5629i | 0.0936727 | + | 0.891236i | ||||
\(268\) | 9.91210 | − | 2.10688i | 0.605478 | − | 0.128698i | ||||
\(269\) | 1.50654 | + | 0.670754i | 0.0918553 | + | 0.0408966i | 0.452150 | − | 0.891942i | \(-0.350657\pi\) |
−0.360295 | + | 0.932839i | \(0.617324\pi\) | |||||||
\(270\) | 0.669131 | − | 0.743145i | 0.0407220 | − | 0.0452264i | ||||
\(271\) | −5.30475 | − | 16.3263i | −0.322241 | − | 0.991755i | −0.972671 | − | 0.232189i | \(-0.925411\pi\) |
0.650430 | − | 0.759566i | \(-0.274589\pi\) | |||||||
\(272\) | −4.21501 | − | 4.68124i | −0.255572 | − | 0.283842i | ||||
\(273\) | −8.61048 | + | 14.9138i | −0.521130 | + | 0.902623i | ||||
\(274\) | 4.37080 | + | 7.57044i | 0.264049 | + | 0.457347i | ||||
\(275\) | 1.30242 | − | 4.00842i | 0.0785386 | − | 0.241717i | ||||
\(276\) | −0.190983 | + | 0.0850311i | −0.0114958 | + | 0.00511827i | ||||
\(277\) | 21.7972 | − | 15.8366i | 1.30966 | − | 0.951527i | 0.309664 | − | 0.950846i | \(-0.399783\pi\) |
1.00000 | 0.000680528i | \(-0.000216619\pi\) | ||||||||
\(278\) | −19.7805 | −1.18636 | ||||||||
\(279\) | −2.69236 | − | 4.87352i | −0.161188 | − | 0.291770i | ||||
\(280\) | 3.65418 | 0.218379 | ||||||||
\(281\) | 0.255318 | − | 0.185499i | 0.0152310 | − | 0.0110660i | −0.580144 | − | 0.814514i | \(-0.697004\pi\) |
0.595375 | + | 0.803448i | \(0.297004\pi\) | |||||||
\(282\) | 6.95768 | − | 3.09776i | 0.414324 | − | 0.184469i | ||||
\(283\) | 3.09365 | − | 9.52127i | 0.183898 | − | 0.565980i | −0.816029 | − | 0.578010i | \(-0.803829\pi\) |
0.999928 | + | 0.0120299i | \(0.00382932\pi\) | |||||||
\(284\) | −4.88558 | − | 8.46207i | −0.289906 | − | 0.502132i | ||||
\(285\) | −2.33826 | + | 4.04999i | −0.138507 | + | 0.239901i | ||||
\(286\) | 13.2906 | + | 14.7607i | 0.785890 | + | 0.872820i | ||||
\(287\) | 5.07059 | + | 15.6057i | 0.299307 | + | 0.921174i | ||||
\(288\) | 0.669131 | − | 0.743145i | 0.0394289 | − | 0.0437902i | ||||
\(289\) | 20.7194 | + | 9.22489i | 1.21879 | + | 0.542641i | ||||
\(290\) | −8.75319 | + | 1.86055i | −0.514005 | + | 0.109255i | ||||
\(291\) | −0.0305010 | − | 0.290198i | −0.00178800 | − | 0.0170117i | ||||
\(292\) | −0.0660454 | + | 0.628380i | −0.00386501 | + | 0.0367732i | ||||
\(293\) | 5.55955 | + | 1.18172i | 0.324792 | + | 0.0690367i | 0.367422 | − | 0.930054i | \(-0.380240\pi\) |
−0.0426302 | + | 0.999091i | \(0.513574\pi\) | |||||||
\(294\) | 5.13972 | + | 3.73423i | 0.299755 | + | 0.217784i | ||||
\(295\) | 2.79456 | + | 2.03036i | 0.162705 | + | 0.118212i | ||||
\(296\) | −0.917914 | − | 0.195109i | −0.0533527 | − | 0.0113405i | ||||
\(297\) | 0.440557 | − | 4.19162i | 0.0255637 | − | 0.243222i | ||||
\(298\) | −1.02672 | − | 9.76861i | −0.0594764 | − | 0.565881i | ||||
\(299\) | −0.963687 | + | 0.204838i | −0.0557315 | + | 0.0118461i | ||||
\(300\) | −0.913545 | − | 0.406737i | −0.0527436 | − | 0.0234830i | ||||
\(301\) | −20.3150 | + | 22.5621i | −1.17094 | + | 1.30046i | ||||
\(302\) | −1.41686 | − | 4.36064i | −0.0815310 | − | 0.250927i | ||||
\(303\) | 3.26232 | + | 3.62318i | 0.187416 | + | 0.208146i | ||||
\(304\) | −2.33826 | + | 4.04999i | −0.134108 | + | 0.232283i | ||||
\(305\) | 3.21470 | + | 5.56803i | 0.184073 | + | 0.318824i | ||||
\(306\) | −1.94657 | + | 5.99092i | −0.111278 | + | 0.342478i | ||||
\(307\) | 15.9389 | − | 7.09645i | 0.909680 | − | 0.405016i | 0.102100 | − | 0.994774i | \(-0.467444\pi\) |
0.807580 | + | 0.589758i | \(0.200777\pi\) | |||||||
\(308\) | 12.4599 | − | 9.05265i | 0.709969 | − | 0.515823i | ||||
\(309\) | 6.28602 | 0.357599 | ||||||||
\(310\) | −3.80301 | + | 4.06659i | −0.215996 | + | 0.230967i | ||||
\(311\) | 27.8101 | 1.57696 | 0.788482 | − | 0.615058i | \(-0.210867\pi\) | ||||
0.788482 | + | 0.615058i | \(0.210867\pi\) | |||||||
\(312\) | 3.81263 | − | 2.77004i | 0.215848 | − | 0.156823i | ||||
\(313\) | 19.6913 | − | 8.76713i | 1.11302 | − | 0.495548i | 0.233953 | − | 0.972248i | \(-0.424834\pi\) |
0.879066 | + | 0.476700i | \(0.158167\pi\) | |||||||
\(314\) | 0.296590 | − | 0.912810i | 0.0167375 | − | 0.0515128i | ||||
\(315\) | −1.82709 | − | 3.16461i | −0.102945 | − | 0.178306i | ||||
\(316\) | 1.07246 | − | 1.85756i | 0.0603306 | − | 0.104496i | ||||
\(317\) | 10.2173 | + | 11.3474i | 0.573858 | + | 0.637334i | 0.958283 | − | 0.285822i | \(-0.0922667\pi\) |
−0.384424 | + | 0.923157i | \(0.625600\pi\) | |||||||
\(318\) | −2.59102 | − | 7.97435i | −0.145297 | − | 0.447179i | ||||
\(319\) | −25.2371 | + | 28.0287i | −1.41301 | + | 1.56930i | ||||
\(320\) | −0.913545 | − | 0.406737i | −0.0510687 | − | 0.0227373i | ||||
\(321\) | −3.33635 | + | 0.709163i | −0.186217 | + | 0.0395816i | ||||
\(322\) | 0.0798526 | + | 0.759747i | 0.00445001 | + | 0.0423391i | ||||
\(323\) | 3.07925 | − | 29.2971i | 0.171334 | − | 1.63013i | ||||
\(324\) | −0.978148 | − | 0.207912i | −0.0543415 | − | 0.0115506i | ||||
\(325\) | −3.81263 | − | 2.77004i | −0.211487 | − | 0.153654i | ||||
\(326\) | 9.90786 | + | 7.19848i | 0.548745 | + | 0.398687i | ||||
\(327\) | 12.0962 | + | 2.57113i | 0.668922 | + | 0.142184i | ||||
\(328\) | 0.469376 | − | 4.46581i | 0.0259169 | − | 0.246583i | ||||
\(329\) | −2.90910 | − | 27.6782i | −0.160384 | − | 1.52595i | ||||
\(330\) | −4.12260 | + | 0.876286i | −0.226942 | + | 0.0482380i | ||||
\(331\) | 23.9031 | + | 10.6424i | 1.31383 | + | 0.584957i | 0.939567 | − | 0.342364i | \(-0.111228\pi\) |
0.374267 | + | 0.927321i | \(0.377894\pi\) | |||||||
\(332\) | 5.29456 | − | 5.88020i | 0.290577 | − | 0.322718i | ||||
\(333\) | 0.289988 | + | 0.892491i | 0.0158912 | + | 0.0489082i | ||||
\(334\) | −3.63739 | − | 4.03973i | −0.199029 | − | 0.221044i | ||||
\(335\) | −5.06677 | + | 8.77591i | −0.276827 | + | 0.479479i | ||||
\(336\) | −1.82709 | − | 3.16461i | −0.0996760 | − | 0.172644i | ||||
\(337\) | −0.577819 | + | 1.77834i | −0.0314758 | + | 0.0968726i | −0.965560 | − | 0.260180i | \(-0.916218\pi\) |
0.934084 | + | 0.357052i | \(0.116218\pi\) | |||||||
\(338\) | 8.41308 | − | 3.74574i | 0.457611 | − | 0.203742i | ||||
\(339\) | 4.37112 | − | 3.17580i | 0.237407 | − | 0.172486i | ||||
\(340\) | 6.29923 | 0.341624 | ||||||||
\(341\) | −2.89303 | + | 23.2875i | −0.156667 | + | 1.26109i | ||||
\(342\) | 4.67652 | 0.252877 | ||||||||
\(343\) | −1.91259 | + | 1.38958i | −0.103270 | + | 0.0750302i | ||||
\(344\) | 7.59007 | − | 3.37932i | 0.409229 | − | 0.182201i | ||||
\(345\) | 0.0646021 | − | 0.198825i | 0.00347806 | − | 0.0107044i | ||||
\(346\) | −10.1355 | − | 17.5551i | −0.544885 | − | 0.943769i | ||||
\(347\) | 14.1681 | − | 24.5399i | 0.760584 | − | 1.31737i | −0.181966 | − | 0.983305i | \(-0.558246\pi\) |
0.942550 | − | 0.334065i | \(-0.108421\pi\) | |||||||
\(348\) | 5.98787 | + | 6.65021i | 0.320984 | + | 0.356489i | ||||
\(349\) | 7.11251 | + | 21.8901i | 0.380724 | + | 1.17175i | 0.939535 | + | 0.342453i | \(0.111258\pi\) |
−0.558811 | + | 0.829295i | \(0.688742\pi\) | |||||||
\(350\) | −2.44512 | + | 2.71559i | −0.130697 | + | 0.145154i | ||||
\(351\) | −4.30524 | − | 1.91682i | −0.229797 | − | 0.102312i | ||||
\(352\) | −4.12260 | + | 0.876286i | −0.219735 | + | 0.0467062i | ||||
\(353\) | −2.00108 | − | 19.0390i | −0.106507 | − | 1.01334i | −0.909032 | − | 0.416726i | \(-0.863178\pi\) |
0.802526 | − | 0.596618i | \(-0.203489\pi\) | |||||||
\(354\) | 0.361069 | − | 3.43534i | 0.0191906 | − | 0.182586i | ||||
\(355\) | 9.55764 | + | 2.03154i | 0.507267 | + | 0.107823i | ||||
\(356\) | −11.8465 | − | 8.60702i | −0.627866 | − | 0.456171i | ||||
\(357\) | 18.6224 | + | 13.5299i | 0.985601 | + | 0.716081i | ||||
\(358\) | −7.05024 | − | 1.49858i | −0.372617 | − | 0.0792022i | ||||
\(359\) | −0.466819 | + | 4.44149i | −0.0246378 | + | 0.234413i | 0.975272 | + | 0.221006i | \(0.0709342\pi\) |
−0.999910 | + | 0.0134064i | \(0.995732\pi\) | |||||||
\(360\) | 0.104528 | + | 0.994522i | 0.00550913 | + | 0.0524159i | ||||
\(361\) | −2.80715 | + | 0.596678i | −0.147745 | + | 0.0314041i | ||||
\(362\) | 2.75289 | + | 1.22566i | 0.144688 | + | 0.0644194i | ||||
\(363\) | −4.52582 | + | 5.02643i | −0.237544 | + | 0.263819i | ||||
\(364\) | −5.32157 | − | 16.3781i | −0.278926 | − | 0.858446i | ||||
\(365\) | −0.422784 | − | 0.469550i | −0.0221295 | − | 0.0245773i | ||||
\(366\) | 3.21470 | − | 5.56803i | 0.168035 | − | 0.291046i | ||||
\(367\) | 6.17291 | + | 10.6918i | 0.322223 | + | 0.558107i | 0.980946 | − | 0.194278i | \(-0.0622365\pi\) |
−0.658723 | + | 0.752385i | \(0.728903\pi\) | |||||||
\(368\) | 0.0646021 | − | 0.198825i | 0.00336762 | − | 0.0103645i | ||||
\(369\) | −4.10219 | + | 1.82641i | −0.213552 | + | 0.0950793i | ||||
\(370\) | 0.759198 | − | 0.551590i | 0.0394689 | − | 0.0286758i | ||||
\(371\) | −30.6393 | −1.59071 | ||||||||
\(372\) | 5.42327 | + | 1.26020i | 0.281184 | + | 0.0653386i | ||||
\(373\) | −30.1174 | −1.55942 | −0.779711 | − | 0.626140i | \(-0.784634\pi\) | ||||
−0.779711 | + | 0.626140i | \(0.784634\pi\) | |||||||
\(374\) | 21.4789 | − | 15.6053i | 1.11065 | − | 0.806932i | ||||
\(375\) | 0.913545 | − | 0.406737i | 0.0471753 | − | 0.0210038i | ||||
\(376\) | −2.35351 | + | 7.24336i | −0.121373 | + | 0.373548i | ||||
\(377\) | 21.0862 | + | 36.5224i | 1.08600 | + | 1.88100i | ||||
\(378\) | −1.82709 | + | 3.16461i | −0.0939754 | + | 0.162770i | ||||
\(379\) | −12.0145 | − | 13.3434i | −0.617141 | − | 0.685405i | 0.350838 | − | 0.936436i | \(-0.385897\pi\) |
−0.967979 | + | 0.251032i | \(0.919230\pi\) | |||||||
\(380\) | −1.44512 | − | 4.44764i | −0.0741333 | − | 0.228159i | ||||
\(381\) | 8.50828 | − | 9.44941i | 0.435893 | − | 0.484108i | ||||
\(382\) | 15.2071 | + | 6.77066i | 0.778065 | + | 0.346417i | ||||
\(383\) | −29.5586 | + | 6.28287i | −1.51037 | + | 0.321039i | −0.887325 | − | 0.461145i | \(-0.847439\pi\) |
−0.623047 | + | 0.782184i | \(0.714106\pi\) | |||||||
\(384\) | 0.104528 | + | 0.994522i | 0.00533420 | + | 0.0507515i | ||||
\(385\) | −1.60987 | + | 15.3169i | −0.0820468 | + | 0.780623i | ||||
\(386\) | 22.9245 | + | 4.87275i | 1.16683 | + | 0.248016i | ||||
\(387\) | −6.72161 | − | 4.88353i | −0.341679 | − | 0.248244i | ||||
\(388\) | 0.236068 | + | 0.171513i | 0.0119845 | + | 0.00870727i | ||||
\(389\) | −7.43241 | − | 1.57981i | −0.376838 | − | 0.0800994i | 0.0155988 | − | 0.999878i | \(-0.495035\pi\) |
−0.392437 | + | 0.919779i | \(0.628368\pi\) | |||||||
\(390\) | −0.492608 | + | 4.68685i | −0.0249442 | + | 0.237328i | ||||
\(391\) | 0.137653 | + | 1.30968i | 0.00696142 | + | 0.0662335i | ||||
\(392\) | −6.21422 | + | 1.32087i | −0.313865 | + | 0.0667141i | ||||
\(393\) | −18.5991 | − | 8.28087i | −0.938203 | − | 0.417715i | ||||
\(394\) | −10.8403 | + | 12.0394i | −0.546126 | + | 0.606535i | ||||
\(395\) | 0.662817 | + | 2.03994i | 0.0333500 | + | 0.102641i | ||||
\(396\) | 2.82019 | + | 3.13214i | 0.141720 | + | 0.157396i | ||||
\(397\) | −7.20908 | + | 12.4865i | −0.361813 | + | 0.626679i | −0.988259 | − | 0.152786i | \(-0.951176\pi\) |
0.626446 | + | 0.779465i | \(0.284509\pi\) | |||||||
\(398\) | 8.68152 | + | 15.0368i | 0.435165 | + | 0.753728i | ||||
\(399\) | 5.28075 | − | 16.2525i | 0.264368 | − | 0.813641i | ||||
\(400\) | 0.913545 | − | 0.406737i | 0.0456773 | − | 0.0203368i | ||||
\(401\) | −26.1530 | + | 19.0013i | −1.30602 | + | 0.948878i | −0.999995 | − | 0.00314607i | \(-0.998999\pi\) |
−0.306023 | + | 0.952024i | \(0.598999\pi\) | |||||||
\(402\) | 10.1335 | 0.505415 | ||||||||
\(403\) | 23.7648 | + | 11.1230i | 1.18381 | + | 0.554075i | ||||
\(404\) | −4.87547 | −0.242564 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | 29.8732 | − | 13.3004i | 1.48258 | − | 0.660089i | ||||
\(407\) | 1.22221 | − | 3.76159i | 0.0605829 | − | 0.186455i | ||||
\(408\) | −3.14961 | − | 5.45529i | −0.155929 | − | 0.270077i | ||||
\(409\) | −1.02429 | + | 1.77412i | −0.0506479 | + | 0.0877247i | −0.890238 | − | 0.455496i | \(-0.849462\pi\) |
0.839590 | + | 0.543221i | \(0.182795\pi\) | |||||||
\(410\) | 3.00467 | + | 3.33702i | 0.148390 | + | 0.164804i | ||||
\(411\) | 2.70130 | + | 8.31375i | 0.133245 | + | 0.410087i | ||||
\(412\) | −4.20617 | + | 4.67143i | −0.207223 | + | 0.230145i | ||||
\(413\) | −11.5312 | − | 5.13403i | −0.567415 | − | 0.252629i | ||||
\(414\) | −0.204489 | + | 0.0434654i | −0.0100501 | + | 0.00213621i | ||||
\(415\) | 0.827091 | + | 7.86924i | 0.0406003 | + | 0.386286i | ||||
\(416\) | −0.492608 | + | 4.68685i | −0.0241521 | + | 0.229792i | ||||
\(417\) | −19.3482 | − | 4.11260i | −0.947488 | − | 0.201395i | ||||
\(418\) | −15.9459 | − | 11.5853i | −0.779937 | − | 0.566657i | ||||
\(419\) | 14.9975 | + | 10.8963i | 0.732674 | + | 0.532319i | 0.890408 | − | 0.455163i | \(-0.150419\pi\) |
−0.157734 | + | 0.987482i | \(0.550419\pi\) | |||||||
\(420\) | 3.57433 | + | 0.759747i | 0.174409 | + | 0.0370719i | ||||
\(421\) | −2.59781 | + | 24.7165i | −0.126609 | + | 1.20461i | 0.728089 | + | 0.685483i | \(0.240409\pi\) |
−0.854698 | + | 0.519125i | \(0.826258\pi\) | |||||||
\(422\) | 0.475626 | + | 4.52528i | 0.0231531 | + | 0.220287i | ||||
\(423\) | 7.44969 | − | 1.58348i | 0.362216 | − | 0.0769915i | ||||
\(424\) | 7.65983 | + | 3.41038i | 0.371994 | + | 0.165622i | ||||
\(425\) | −4.21501 | + | 4.68124i | −0.204458 | + | 0.227073i | ||||
\(426\) | −3.01945 | − | 9.29292i | −0.146293 | − | 0.450244i | ||||
\(427\) | −15.7207 | − | 17.4596i | −0.760778 | − | 0.844930i | ||||
\(428\) | 1.70544 | − | 2.95391i | 0.0824357 | − | 0.142783i | ||||
\(429\) | 9.93125 | + | 17.2014i | 0.479485 | + | 0.830493i | ||||
\(430\) | −2.56743 | + | 7.90172i | −0.123812 | + | 0.381055i | ||||
\(431\) | 33.2424 | − | 14.8005i | 1.60123 | − | 0.712913i | 0.604722 | − | 0.796436i | \(-0.293284\pi\) |
0.996506 | + | 0.0835236i | \(0.0266174\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | 39.4360 | 1.89517 | 0.947586 | − | 0.319501i | \(-0.103515\pi\) | ||||
0.947586 | + | 0.319501i | \(0.103515\pi\) | |||||||
\(434\) | 10.5036 | − | 17.4247i | 0.504190 | − | 0.836410i | ||||
\(435\) | −8.94874 | −0.429059 | ||||||||
\(436\) | −10.0047 | + | 7.26882i | −0.479137 | + | 0.348113i | ||||
\(437\) | 0.893136 | − | 0.397650i | 0.0427245 | − | 0.0190222i | ||||
\(438\) | −0.195250 | + | 0.600917i | −0.00932939 | + | 0.0287129i | ||||
\(439\) | −0.921569 | − | 1.59620i | −0.0439841 | − | 0.0761827i | 0.843195 | − | 0.537607i | \(-0.180672\pi\) |
−0.887179 | + | 0.461425i | \(0.847338\pi\) | |||||||
\(440\) | 2.10735 | − | 3.65004i | 0.100464 | − | 0.174009i | ||||
\(441\) | 4.25102 | + | 4.72123i | 0.202429 | + | 0.224821i | ||||
\(442\) | −9.17353 | − | 28.2332i | −0.436341 | − | 1.34292i | ||||
\(443\) | 6.55041 | − | 7.27497i | 0.311219 | − | 0.345644i | −0.567161 | − | 0.823607i | \(-0.691958\pi\) |
0.878380 | + | 0.477963i | \(0.158625\pi\) | |||||||
\(444\) | −0.857290 | − | 0.381690i | −0.0406852 | − | 0.0181142i | ||||
\(445\) | 14.3231 | − | 3.04448i | 0.678982 | − | 0.144322i | ||||
\(446\) | −0.0446812 | − | 0.425113i | −0.00211572 | − | 0.0201297i | ||||
\(447\) | 1.02672 | − | 9.76861i | 0.0485623 | − | 0.462040i | ||||
\(448\) | 3.57433 | + | 0.759747i | 0.168871 | + | 0.0358947i | ||||
\(449\) | 19.7815 | + | 14.3721i | 0.933546 | + | 0.678261i | 0.946858 | − | 0.321651i | \(-0.104238\pi\) |
−0.0133128 | + | 0.999911i | \(0.504238\pi\) | |||||||
\(450\) | −0.809017 | − | 0.587785i | −0.0381374 | − | 0.0277085i | ||||
\(451\) | 18.5122 | + | 3.93488i | 0.871704 | + | 0.185286i | ||||
\(452\) | −0.564767 | + | 5.37340i | −0.0265644 | + | 0.252744i | ||||
\(453\) | −0.479268 | − | 4.55993i | −0.0225180 | − | 0.214244i | ||||
\(454\) | −1.45077 | + | 0.308371i | −0.0680881 | + | 0.0144726i | ||||
\(455\) | 15.7321 | + | 7.00439i | 0.737533 | + | 0.328371i | ||||
\(456\) | −3.12920 | + | 3.47533i | −0.146538 | + | 0.162747i | ||||
\(457\) | −1.63355 | − | 5.02754i | −0.0764141 | − | 0.235178i | 0.905552 | − | 0.424235i | \(-0.139457\pi\) |
−0.981966 | + | 0.189057i | \(0.939457\pi\) | |||||||
\(458\) | 19.5004 | + | 21.6574i | 0.911194 | + | 1.01198i | ||||
\(459\) | −3.14961 | + | 5.45529i | −0.147011 | + | 0.254631i | ||||
\(460\) | 0.104528 | + | 0.181049i | 0.00487366 | + | 0.00844143i | ||||
\(461\) | −3.32440 | + | 10.2315i | −0.154833 | + | 0.476527i | −0.998144 | − | 0.0608991i | \(-0.980603\pi\) |
0.843311 | + | 0.537426i | \(0.180603\pi\) | |||||||
\(462\) | 14.0698 | − | 6.26427i | 0.654586 | − | 0.291440i | ||||
\(463\) | −14.6029 | + | 10.6096i | −0.678655 | + | 0.493072i | −0.872911 | − | 0.487879i | \(-0.837771\pi\) |
0.194256 | + | 0.980951i | \(0.437771\pi\) | |||||||
\(464\) | −8.94874 | −0.415435 | ||||||||
\(465\) | −4.56539 | + | 3.18704i | −0.211715 | + | 0.147795i | ||||
\(466\) | 1.52977 | 0.0708654 | ||||||||
\(467\) | −31.9684 | + | 23.2264i | −1.47932 | + | 1.07479i | −0.501546 | + | 0.865131i | \(0.667235\pi\) |
−0.977775 | + | 0.209659i | \(0.932765\pi\) | |||||||
\(468\) | 4.30524 | − | 1.91682i | 0.199010 | − | 0.0886048i | ||||
\(469\) | 11.4428 | − | 35.2174i | 0.528381 | − | 1.62619i | ||||
\(470\) | −3.80806 | − | 6.59576i | −0.175653 | − | 0.304240i | ||||
\(471\) | 0.479893 | − | 0.831198i | 0.0221123 | − | 0.0382996i | ||||
\(472\) | 2.31135 | + | 2.56702i | 0.106389 | + | 0.118157i | ||||
\(473\) | 10.8209 | + | 33.3034i | 0.497547 | + | 1.53129i | ||||
\(474\) | 1.43523 | − | 1.59399i | 0.0659224 | − | 0.0732143i | ||||
\(475\) | 4.27222 | + | 1.90211i | 0.196023 | + | 0.0872749i | ||||
\(476\) | −22.5155 | + | 4.78582i | −1.03200 | + | 0.219358i | ||||
\(477\) | −0.876443 | − | 8.33879i | −0.0401295 | − | 0.381807i | ||||
\(478\) | 2.95032 | − | 28.0704i | 0.134944 | − | 1.28391i | ||||
\(479\) | −11.8545 | − | 2.51975i | −0.541646 | − | 0.115130i | −0.0710393 | − | 0.997474i | \(-0.522632\pi\) |
−0.470607 | + | 0.882343i | \(0.655965\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | −3.57785 | − | 2.59946i | −0.163136 | − | 0.118525i | ||||
\(482\) | 20.4562 | + | 4.34811i | 0.931756 | + | 0.198051i | ||||
\(483\) | −0.0798526 | + | 0.759747i | −0.00363342 | + | 0.0345697i | ||||
\(484\) | −0.707002 | − | 6.72668i | −0.0321365 | − | 0.305758i | ||||
\(485\) | −0.285420 | + | 0.0606678i | −0.0129602 | + | 0.00275478i | ||||
\(486\) | −0.913545 | − | 0.406737i | −0.0414393 | − | 0.0184499i | ||||
\(487\) | −11.1889 | + | 12.4266i | −0.507019 | + | 0.563102i | −0.941255 | − | 0.337697i | \(-0.890352\pi\) |
0.434235 | + | 0.900799i | \(0.357019\pi\) | |||||||
\(488\) | 1.98680 | + | 6.11473i | 0.0899380 | + | 0.276801i | ||||
\(489\) | 8.19470 | + | 9.10113i | 0.370577 | + | 0.411568i | ||||
\(490\) | 3.17652 | − | 5.50190i | 0.143501 | − | 0.248550i | ||||
\(491\) | −0.688325 | − | 1.19221i | −0.0310637 | − | 0.0538038i | 0.850076 | − | 0.526661i | \(-0.176556\pi\) |
−0.881139 | + | 0.472857i | \(0.843223\pi\) | |||||||
\(492\) | 1.38761 | − | 4.27063i | 0.0625584 | − | 0.192535i | ||||
\(493\) | 51.4967 | − | 22.9278i | 2.31929 | − | 1.03262i | ||||
\(494\) | −17.8299 | + | 12.9541i | −0.802203 | + | 0.582835i | ||||
\(495\) | −4.21470 | −0.189437 | ||||||||
\(496\) | −4.56539 | + | 3.18704i | −0.204992 | + | 0.143102i | ||||
\(497\) | −35.7056 | −1.60161 | ||||||||
\(498\) | 6.40142 | − | 4.65090i | 0.286854 | − | 0.208412i | ||||
\(499\) | 3.91548 | − | 1.74328i | 0.175281 | − | 0.0780400i | −0.317220 | − | 0.948352i | \(-0.602749\pi\) |
0.492501 | + | 0.870312i | \(0.336083\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | −2.71799 | − | 4.70770i | −0.121431 | − | 0.210325i | ||||
\(502\) | 14.2466 | − | 24.6758i | 0.635857 | − | 1.10134i | ||||
\(503\) | 6.86476 | + | 7.62408i | 0.306084 | + | 0.339941i | 0.876488 | − | 0.481423i | \(-0.159880\pi\) |
−0.570404 | + | 0.821364i | \(0.693213\pi\) | |||||||
\(504\) | −1.12920 | − | 3.47533i | −0.0502988 | − | 0.154804i | ||||
\(505\) | 3.26232 | − | 3.62318i | 0.145171 | − | 0.161229i | ||||
\(506\) | 0.804937 | + | 0.358381i | 0.0357838 | + | 0.0159320i | ||||
\(507\) | 9.00802 | − | 1.91471i | 0.400060 | − | 0.0850354i | ||||
\(508\) | 1.32912 | + | 12.6458i | 0.0589704 | + | 0.561066i | ||||
\(509\) | −0.726512 | + | 6.91230i | −0.0322021 | + | 0.306382i | 0.966552 | + | 0.256472i | \(0.0825602\pi\) |
−0.998754 | + | 0.0499102i | \(0.984106\pi\) | |||||||
\(510\) | 6.16157 | + | 1.30968i | 0.272839 | + | 0.0579937i | ||||
\(511\) | 1.86791 | + | 1.35712i | 0.0826314 | + | 0.0600353i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 4.57433 | + | 0.972304i | 0.201962 | + | 0.0429283i | ||||
\(514\) | −0.0710806 | + | 0.676287i | −0.00313523 | + | 0.0298297i | ||||
\(515\) | −0.657068 | − | 6.25159i | −0.0289539 | − | 0.275478i | ||||
\(516\) | 8.12681 | − | 1.72741i | 0.357763 | − | 0.0760448i | ||||
\(517\) | −29.3245 | − | 13.0561i | −1.28969 | − | 0.574208i | ||||
\(518\) | −2.29456 | + | 2.54836i | −0.100817 | + | 0.111969i | ||||
\(519\) | −6.26406 | − | 19.2788i | −0.274962 | − | 0.846245i | ||||
\(520\) | −3.15339 | − | 3.50220i | −0.138285 | − | 0.153581i | ||||
\(521\) | 16.5827 | − | 28.7221i | 0.726503 | − | 1.25834i | −0.231850 | − | 0.972752i | \(-0.574478\pi\) |
0.958352 | − | 0.285588i | \(-0.0921890\pi\) | |||||||
\(522\) | 4.47437 | + | 7.74983i | 0.195838 | + | 0.339201i | ||||
\(523\) | −4.25047 | + | 13.0816i | −0.185860 | + | 0.572018i | −0.999962 | − | 0.00870368i | \(-0.997229\pi\) |
0.814102 | + | 0.580722i | \(0.197229\pi\) | |||||||
\(524\) | 18.5991 | − | 8.28087i | 0.812507 | − | 0.361752i | ||||
\(525\) | −2.95630 | + | 2.14787i | −0.129023 | + | 0.0937409i | ||||
\(526\) | 24.7623 | 1.07969 | ||||||||
\(527\) | 18.1066 | − | 30.0373i | 0.788734 | − | 1.30845i | ||||
\(528\) | −4.21470 | −0.183421 | ||||||||
\(529\) | 18.5720 | − | 13.4934i | 0.807480 | − | 0.586668i | ||||
\(530\) | −7.65983 | + | 3.41038i | −0.332722 | + | 0.148137i | ||||
\(531\) | 1.06743 | − | 3.28520i | 0.0463223 | − | 0.142565i | ||||
\(532\) | 8.54443 | + | 14.7994i | 0.370448 | + | 0.641635i | ||||
\(533\) | 10.5809 | − | 18.3267i | 0.458310 | − | 0.793816i | ||||
\(534\) | −9.79817 | − | 10.8820i | −0.424008 | − | 0.470909i | ||||
\(535\) | 1.05402 | + | 3.24395i | 0.0455693 | + | 0.140248i | ||||
\(536\) | −6.78066 | + | 7.53069i | −0.292880 | + | 0.325276i | ||||
\(537\) | −6.58461 | − | 2.93166i | −0.284147 | − | 0.126510i | ||||
\(538\) | −1.61307 | + | 0.342870i | −0.0695446 | + | 0.0147822i | ||||
\(539\) | −2.79888 | − | 26.6295i | −0.120556 | − | 1.14701i | ||||
\(540\) | −0.104528 | + | 0.994522i | −0.00449819 | + | 0.0427974i | ||||
\(541\) | 33.0151 | + | 7.01757i | 1.41943 | + | 0.301709i | 0.852788 | − | 0.522257i | \(-0.174910\pi\) |
0.566640 | + | 0.823966i | \(0.308243\pi\) | |||||||
\(542\) | 13.8880 | + | 10.0902i | 0.596541 | + | 0.433413i | ||||
\(543\) | 2.43790 | + | 1.77124i | 0.104620 | + | 0.0760110i | ||||
\(544\) | 6.16157 | + | 1.30968i | 0.264175 | + | 0.0561522i | ||||
\(545\) | 1.29265 | − | 12.2987i | 0.0553709 | − | 0.526819i | ||||
\(546\) | −1.80008 | − | 17.1266i | −0.0770363 | − | 0.732951i | ||||
\(547\) | 19.6672 | − | 4.18038i | 0.840907 | − | 0.178740i | 0.232730 | − | 0.972541i | \(-0.425234\pi\) |
0.608177 | + | 0.793801i | \(0.291901\pi\) | |||||||
\(548\) | −7.98584 | − | 3.55553i | −0.341138 | − | 0.151885i | ||||
\(549\) | 4.30211 | − | 4.77798i | 0.183610 | − | 0.203919i | ||||
\(550\) | 1.30242 | + | 4.00842i | 0.0555352 | + | 0.170920i | ||||
\(551\) | −28.0024 | − | 31.0998i | −1.19294 | − | 1.32490i | ||||
\(552\) | 0.104528 | − | 0.181049i | 0.00444903 | − | 0.00770594i | ||||
\(553\) | −3.91897 | − | 6.78785i | −0.166651 | − | 0.288649i | ||||
\(554\) | −8.32577 | + | 25.6241i | −0.353728 | + | 1.08866i | ||||
\(555\) | 0.857290 | − | 0.381690i | 0.0363899 | − | 0.0162018i | ||||
\(556\) | 16.0028 | − | 11.6267i | 0.678668 | − | 0.493081i | ||||
\(557\) | −3.98173 | −0.168711 | −0.0843556 | − | 0.996436i | \(-0.526883\pi\) | ||||
−0.0843556 | + | 0.996436i | \(0.526883\pi\) | |||||||
\(558\) | 5.04275 | + | 2.36023i | 0.213477 | + | 0.0999164i | ||||
\(559\) | 39.1546 | 1.65606 | ||||||||
\(560\) | −2.95630 | + | 2.14787i | −0.124926 | + | 0.0907643i | ||||
\(561\) | 24.2541 | − | 10.7986i | 1.02401 | − | 0.455917i | ||||
\(562\) | −0.0975228 | + | 0.300144i | −0.00411375 | + | 0.0126608i | ||||
\(563\) | 1.36527 | + | 2.36472i | 0.0575394 | + | 0.0996611i | 0.893360 | − | 0.449341i | \(-0.148341\pi\) |
−0.835821 | + | 0.549002i | \(0.815008\pi\) | |||||||
\(564\) | −3.80806 | + | 6.59576i | −0.160348 | + | 0.277731i | ||||
\(565\) | −3.61531 | − | 4.01521i | −0.152097 | − | 0.168921i | ||||
\(566\) | 3.09365 | + | 9.52127i | 0.130036 | + | 0.400209i | ||||
\(567\) | −2.44512 | + | 2.71559i | −0.102686 | + | 0.114044i | ||||
\(568\) | 8.92640 | + | 3.97429i | 0.374543 | + | 0.166757i | ||||
\(569\) | −0.582285 | + | 0.123769i | −0.0244107 | + | 0.00518865i | −0.220101 | − | 0.975477i | \(-0.570639\pi\) |
0.195690 | + | 0.980666i | \(0.437305\pi\) | |||||||
\(570\) | −0.488830 | − | 4.65090i | −0.0204748 | − | 0.194805i | ||||
\(571\) | −0.366453 | + | 3.48657i | −0.0153356 | + | 0.145908i | −0.999510 | − | 0.0312927i | \(-0.990038\pi\) |
0.984175 | + | 0.177201i | \(0.0567043\pi\) | |||||||
\(572\) | −19.4285 | − | 4.12965i | −0.812345 | − | 0.172669i | ||||
\(573\) | 13.4671 | + | 9.78445i | 0.562598 | + | 0.408751i | ||||
\(574\) | −13.2750 | − | 9.64483i | −0.554087 | − | 0.402568i | ||||
\(575\) | −0.204489 | − | 0.0434654i | −0.00852776 | − | 0.00181263i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −4.53253 | − | 43.1242i | −0.188692 | − | 1.79528i | −0.522497 | − | 0.852641i | \(-0.674999\pi\) |
0.333805 | − | 0.942642i | \(-0.391667\pi\) | |||||||
\(578\) | −22.1846 | + | 4.71549i | −0.922759 | + | 0.196139i | ||||
\(579\) | 21.4104 | + | 9.53254i | 0.889787 | + | 0.396159i | ||||
\(580\) | 5.98787 | − | 6.65021i | 0.248633 | − | 0.276135i | ||||
\(581\) | −8.93493 | − | 27.4989i | −0.370683 | − | 1.14085i | ||||
\(582\) | 0.195250 | + | 0.216847i | 0.00809336 | + | 0.00898859i | ||||
\(583\) | −17.6696 | + | 30.6046i | −0.731799 | + | 1.26751i | ||||
\(584\) | −0.315921 | − | 0.547191i | −0.0130729 | − | 0.0226429i | ||||
\(585\) | −1.45630 | + | 4.48202i | −0.0602104 | + | 0.185309i | ||||
\(586\) | −5.19236 | + | 2.31179i | −0.214495 | + | 0.0954991i | ||||
\(587\) | −6.77425 | + | 4.92178i | −0.279603 | + | 0.203144i | −0.718744 | − | 0.695274i | \(-0.755283\pi\) |
0.439141 | + | 0.898418i | \(0.355283\pi\) | |||||||
\(588\) | −6.35304 | −0.261995 | ||||||||
\(589\) | −25.3621 | − | 5.89337i | −1.04503 | − | 0.242832i | ||||
\(590\) | −3.45426 | −0.142210 | ||||||||
\(591\) | −13.1065 | + | 9.52245i | −0.539131 | + | 0.391701i | ||||
\(592\) | 0.857290 | − | 0.381690i | 0.0352344 | − | 0.0156874i | ||||
\(593\) | −3.28916 | + | 10.1230i | −0.135070 | + | 0.415701i | −0.995601 | − | 0.0936962i | \(-0.970132\pi\) |
0.860531 | + | 0.509398i | \(0.170132\pi\) | |||||||
\(594\) | 2.10735 | + | 3.65004i | 0.0864657 | + | 0.149763i | ||||
\(595\) | 11.5093 | − | 19.9346i | 0.471834 | − | 0.817240i | ||||
\(596\) | 6.57248 | + | 7.29948i | 0.269219 | + | 0.298998i | ||||
\(597\) | 5.36547 | + | 16.5132i | 0.219594 | + | 0.675841i | ||||
\(598\) | 0.659238 | − | 0.732158i | 0.0269583 | − | 0.0299402i | ||||
\(599\) | 25.7906 | + | 11.4827i | 1.05378 | + | 0.469171i | 0.859159 | − | 0.511708i | \(-0.170987\pi\) |
0.194617 | + | 0.980879i | \(0.437654\pi\) | |||||||
\(600\) | 0.978148 | − | 0.207912i | 0.0399327 | − | 0.00848796i | ||||
\(601\) | 1.86781 | + | 17.7710i | 0.0761894 | + | 0.724894i | 0.964219 | + | 0.265107i | \(0.0854074\pi\) |
−0.888029 | + | 0.459787i | \(0.847926\pi\) | |||||||
\(602\) | 3.17351 | − | 30.1940i | 0.129343 | − | 1.23061i | ||||
\(603\) | 9.91210 | + | 2.10688i | 0.403652 | + | 0.0857989i | ||||
\(604\) | 3.70938 | + | 2.69502i | 0.150933 | + | 0.109659i | ||||
\(605\) | 5.47197 | + | 3.97562i | 0.222467 | + | 0.161632i | ||||
\(606\) | −4.76893 | − | 1.01367i | −0.193724 | − | 0.0411774i | ||||
\(607\) | 3.84675 | − | 36.5994i | 0.156135 | − | 1.48552i | −0.583279 | − | 0.812272i | \(-0.698231\pi\) |
0.739414 | − | 0.673251i | \(-0.235103\pi\) | |||||||
\(608\) | −0.488830 | − | 4.65090i | −0.0198247 | − | 0.188619i | ||||
\(609\) | 31.9857 | − | 6.79878i | 1.29613 | − | 0.275500i | ||||
\(610\) | −5.87356 | − | 2.61508i | −0.237813 | − | 0.105881i | ||||
\(611\) | −24.0166 | + | 26.6732i | −0.971609 | + | 1.07908i | ||||
\(612\) | −1.94657 | − | 5.99092i | −0.0786854 | − | 0.242169i | ||||
\(613\) | 2.70810 | + | 3.00765i | 0.109379 | + | 0.121478i | 0.795348 | − | 0.606153i | \(-0.207288\pi\) |
−0.685969 | + | 0.727631i | \(0.740621\pi\) | |||||||
\(614\) | −8.72364 | + | 15.1098i | −0.352057 | + | 0.609781i | ||||
\(615\) | 2.24520 | + | 3.88881i | 0.0905354 | + | 0.156812i | ||||
\(616\) | −4.75926 | + | 14.6475i | −0.191756 | + | 0.590165i | ||||
\(617\) | 17.4698 | − | 7.77807i | 0.703309 | − | 0.313133i | −0.0237410 | − | 0.999718i | \(-0.507558\pi\) |
0.727050 | + | 0.686585i | \(0.240891\pi\) | |||||||
\(618\) | −5.08550 | + | 3.69483i | −0.204569 | + | 0.148628i | ||||
\(619\) | −41.6686 | −1.67480 | −0.837402 | − | 0.546588i | \(-0.815927\pi\) | ||||
−0.837402 | + | 0.546588i | \(0.815927\pi\) | |||||||
\(620\) | 0.686415 | − | 5.52529i | 0.0275671 | − | 0.221901i | ||||
\(621\) | −0.209057 | −0.00838917 | ||||||||
\(622\) | −22.4988 | + | 16.3463i | −0.902120 | + | 0.655429i | ||||
\(623\) | −48.8826 | + | 21.7639i | −1.95844 | + | 0.871954i | ||||
\(624\) | −1.45630 | + | 4.48202i | −0.0582985 | + | 0.179424i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −10.7774 | + | 18.6670i | −0.430752 | + | 0.746084i | ||||
\(627\) | −13.1887 | − | 14.6475i | −0.526705 | − | 0.584965i | ||||
\(628\) | 0.296590 | + | 0.912810i | 0.0118352 | + | 0.0364251i | ||||
\(629\) | −3.95545 | + | 4.39297i | −0.157714 | + | 0.175159i | ||||
\(630\) | 3.33826 | + | 1.48629i | 0.133000 | + | 0.0592152i | ||||
\(631\) | −26.9394 | + | 5.72614i | −1.07244 | + | 0.227954i | −0.710106 | − | 0.704095i | \(-0.751353\pi\) |
−0.362333 | + | 0.932049i | \(0.618020\pi\) | |||||||
\(632\) | 0.224205 | + | 2.13317i | 0.00891841 | + | 0.0848530i | ||||
\(633\) | −0.475626 | + | 4.52528i | −0.0189044 | + | 0.179864i | ||||
\(634\) | −14.9358 | − | 3.17470i | −0.593176 | − | 0.126083i | ||||
\(635\) | −10.2870 | − | 7.47394i | −0.408227 | − | 0.296594i | ||||
\(636\) | 6.78339 | + | 4.92842i | 0.268979 | + | 0.195425i | ||||
\(637\) | −29.2855 | − | 6.22484i | −1.16034 | − | 0.246637i | ||||
\(638\) | 3.94242 | − | 37.5097i | 0.156082 | − | 1.48502i | ||||
\(639\) | −1.02136 | − | 9.71763i | −0.0404045 | − | 0.384424i | ||||
\(640\) | 0.978148 | − | 0.207912i | 0.0386647 | − | 0.00821843i | ||||
\(641\) | 38.1000 | + | 16.9632i | 1.50486 | + | 0.670006i | 0.983097 | − | 0.183086i | \(-0.0586087\pi\) |
0.521761 | + | 0.853092i | \(0.325275\pi\) | |||||||
\(642\) | 2.28233 | − | 2.53478i | 0.0900763 | − | 0.100040i | ||||
\(643\) | −10.0587 | − | 30.9575i | −0.396676 | − | 1.22084i | −0.927649 | − | 0.373454i | \(-0.878173\pi\) |
0.530973 | − | 0.847389i | \(-0.321827\pi\) | |||||||
\(644\) | −0.511170 | − | 0.567712i | −0.0201429 | − | 0.0223710i | ||||
\(645\) | −4.15418 | + | 7.19525i | −0.163571 | + | 0.283313i | ||||
\(646\) | 14.7292 | + | 25.5118i | 0.579514 | + | 1.00375i | ||||
\(647\) | 2.54200 | − | 7.82347i | 0.0999363 | − | 0.307572i | −0.888572 | − | 0.458736i | \(-0.848302\pi\) |
0.988509 | + | 0.151164i | \(0.0483022\pi\) | |||||||
\(648\) | 0.913545 | − | 0.406737i | 0.0358875 | − | 0.0159781i | ||||
\(649\) | −11.7782 | + | 8.55738i | −0.462336 | + | 0.335907i | ||||
\(650\) | 4.71267 | 0.184846 | ||||||||
\(651\) | 13.8969 | − | 14.8601i | 0.544661 | − | 0.582412i | ||||
\(652\) | −12.2468 | −0.479621 | ||||||||
\(653\) | −21.2505 | + | 15.4394i | −0.831597 | + | 0.604191i | −0.920011 | − | 0.391893i | \(-0.871820\pi\) |
0.0884136 | + | 0.996084i | \(0.471820\pi\) | |||||||
\(654\) | −11.2973 | + | 5.02989i | −0.441760 | + | 0.196684i | ||||
\(655\) | −6.29137 | + | 19.3628i | −0.245824 | + | 0.756569i | ||||
\(656\) | 2.24520 | + | 3.88881i | 0.0876605 | + | 0.151832i | ||||
\(657\) | −0.315921 | + | 0.547191i | −0.0123252 | + | 0.0213479i | ||||
\(658\) | 18.6224 | + | 20.6822i | 0.725976 | + | 0.806278i | ||||
\(659\) | 13.7338 | + | 42.2682i | 0.534992 | + | 1.64654i | 0.743667 | + | 0.668550i | \(0.233085\pi\) |
−0.208675 | + | 0.977985i | \(0.566915\pi\) | |||||||
\(660\) | 2.82019 | − | 3.13214i | 0.109776 | − | 0.121918i | ||||
\(661\) | 40.0070 | + | 17.8123i | 1.55609 | + | 0.692816i | 0.991203 | − | 0.132351i | \(-0.0422527\pi\) |
0.564888 | + | 0.825168i | \(0.308919\pi\) | |||||||
\(662\) | −25.5935 | + | 5.44006i | −0.994718 | + | 0.211434i | ||||
\(663\) | −3.10305 | − | 29.5236i | −0.120513 | − | 1.14660i | ||||
\(664\) | −0.827091 | + | 7.86924i | −0.0320974 | + | 0.305386i | ||||
\(665\) | −16.7154 | − | 3.55297i | −0.648197 | − | 0.137778i | ||||
\(666\) | −0.759198 | − | 0.551590i | −0.0294183 | − | 0.0213737i | ||||
\(667\) | 1.51351 | + | 1.09963i | 0.0586032 | + | 0.0425777i | ||||
\(668\) | 5.31720 | + | 1.13021i | 0.205729 | + | 0.0437290i | ||||
\(669\) | 0.0446812 | − | 0.425113i | 0.00172747 | − | 0.0164358i | ||||
\(670\) | −1.05924 | − | 10.0780i | −0.0409222 | − | 0.389348i | ||||
\(671\) | −26.5059 | + | 5.63400i | −1.02325 | + | 0.217498i | ||||
\(672\) | 3.33826 | + | 1.48629i | 0.128776 | + | 0.0573349i | ||||
\(673\) | −13.6117 | + | 15.1174i | −0.524694 | + | 0.582731i | −0.945992 | − | 0.324191i | \(-0.894908\pi\) |
0.421298 | + | 0.906922i | \(0.361575\pi\) | |||||||
\(674\) | −0.577819 | − | 1.77834i | −0.0222568 | − | 0.0684993i | ||||
\(675\) | −0.669131 | − | 0.743145i | −0.0257548 | − | 0.0286037i | ||||
\(676\) | −4.60463 | + | 7.97545i | −0.177101 | + | 0.306748i | ||||
\(677\) | 20.5746 | + | 35.6363i | 0.790746 | + | 1.36961i | 0.925505 | + | 0.378734i | \(0.123641\pi\) |
−0.134759 | + | 0.990878i | \(0.543026\pi\) | |||||||
\(678\) | −1.66962 | + | 5.13856i | −0.0641213 | + | 0.197345i | ||||
\(679\) | 0.974091 | − | 0.433693i | 0.0373822 | − | 0.0166436i | ||||
\(680\) | −5.09618 | + | 3.70259i | −0.195430 | + | 0.141988i | ||||
\(681\) | −1.48318 | −0.0568357 | ||||||||
\(682\) | −11.3475 | − | 20.5404i | −0.434519 | − | 0.786534i | ||||
\(683\) | −9.04418 | −0.346066 | −0.173033 | − | 0.984916i | \(-0.555357\pi\) | ||||
−0.173033 | + | 0.984916i | \(0.555357\pi\) | |||||||
\(684\) | −3.78339 | + | 2.74879i | −0.144661 | + | 0.105103i | ||||
\(685\) | 7.98584 | − | 3.55553i | 0.305123 | − | 0.135850i | ||||
\(686\) | 0.730545 | − | 2.24838i | 0.0278923 | − | 0.0858437i | ||||
\(687\) | 14.5714 | + | 25.2385i | 0.555935 | + | 0.962908i | ||||
\(688\) | −4.15418 | + | 7.19525i | −0.158377 | + | 0.274316i | ||||
\(689\) | 26.4403 | + | 29.3650i | 1.00730 | + | 1.11872i | ||||
\(690\) | 0.0646021 | + | 0.198825i | 0.00245936 | + | 0.00756914i | ||||
\(691\) | 16.3103 | − | 18.1144i | 0.620474 | − | 0.689106i | −0.348206 | − | 0.937418i | \(-0.613209\pi\) |
0.968680 | + | 0.248312i | \(0.0798758\pi\) | |||||||
\(692\) | 18.5184 | + | 8.24492i | 0.703964 | + | 0.313425i | ||||
\(693\) | 15.0647 | − | 3.20211i | 0.572262 | − | 0.121638i | ||||
\(694\) | 2.96194 | + | 28.1810i | 0.112434 | + | 1.06974i | ||||
\(695\) | −2.06763 | + | 19.6721i | −0.0784295 | + | 0.746207i | ||||
\(696\) | −8.75319 | − | 1.86055i | −0.331789 | − | 0.0705239i | ||||
\(697\) | −22.8839 | − | 16.6262i | −0.866791 | − | 0.629761i | ||||
\(698\) | −18.6208 | − | 13.5288i | −0.704807 | − | 0.512073i | ||||
\(699\) | 1.49634 | + | 0.318058i | 0.0565970 | + | 0.0120301i | ||||
\(700\) | 0.381966 | − | 3.63416i | 0.0144370 | − | 0.137358i | ||||
\(701\) | −0.635272 | − | 6.04421i | −0.0239939 | − | 0.228287i | −0.999947 | − | 0.0103056i | \(-0.996720\pi\) |
0.975953 | − | 0.217981i | \(-0.0699471\pi\) | |||||||
\(702\) | 4.60969 | − | 0.979819i | 0.173981 | − | 0.0369809i | ||||
\(703\) | 4.00914 | + | 1.78498i | 0.151207 | + | 0.0673219i | ||||
\(704\) | 2.82019 | − | 3.13214i | 0.106290 | − | 0.118047i | ||||
\(705\) | −2.35351 | − | 7.24336i | −0.0886384 | − | 0.272801i | ||||
\(706\) | 12.8097 | + | 14.2267i | 0.482101 | + | 0.535427i | ||||
\(707\) | −8.90792 | + | 15.4290i | −0.335017 | + | 0.580266i | ||||
\(708\) | 1.72713 | + | 2.99148i | 0.0649096 | + | 0.112427i | ||||
\(709\) | −1.80377 | + | 5.55145i | −0.0677422 | + | 0.208489i | −0.979197 | − | 0.202911i | \(-0.934960\pi\) |
0.911455 | + | 0.411400i | \(0.134960\pi\) | |||||||
\(710\) | −8.92640 | + | 3.97429i | −0.335002 | + | 0.149152i | ||||
\(711\) | 1.73528 | − | 1.26075i | 0.0650780 | − | 0.0472819i | ||||
\(712\) | 14.6431 | 0.548775 | ||||||||
\(713\) | 1.16377 | + | 0.0219728i | 0.0435836 | + | 0.000822887i | ||||
\(714\) | −23.0185 | −0.861446 | ||||||||
\(715\) | 16.0691 | − | 11.6749i | 0.600951 | − | 0.436616i | ||||
\(716\) | 6.58461 | − | 2.93166i | 0.246078 | − | 0.109561i | ||||
\(717\) | 8.72201 | − | 26.8436i | 0.325729 | − | 1.00249i | ||||
\(718\) | −2.23298 | − | 3.86763i | −0.0833340 | − | 0.144339i | ||||
\(719\) | 1.30272 | − | 2.25637i | 0.0485831 | − | 0.0841485i | −0.840711 | − | 0.541484i | \(-0.817863\pi\) |
0.889294 | + | 0.457335i | \(0.151196\pi\) | |||||||
\(720\) | −0.669131 | − | 0.743145i | −0.0249370 | − | 0.0276954i | ||||
\(721\) | 7.09820 | + | 21.8460i | 0.264351 | + | 0.813589i | ||||
\(722\) | 1.92031 | − | 2.13272i | 0.0714666 | − | 0.0793717i | ||||
\(723\) | 19.1052 | + | 8.50618i | 0.710530 | + | 0.316348i | ||||
\(724\) | −2.94756 | + | 0.626523i | −0.109545 | + | 0.0232845i | ||||
\(725\) | 0.935398 | + | 8.89972i | 0.0347398 | + | 0.330527i | ||||
\(726\) | 0.707002 | − | 6.72668i | 0.0262393 | − | 0.249650i | ||||
\(727\) | −48.0185 | − | 10.2066i | −1.78091 | − | 0.378543i | −0.804409 | − | 0.594075i | \(-0.797518\pi\) |
−0.976497 | + | 0.215532i | \(0.930851\pi\) | |||||||
\(728\) | 13.9320 | + | 10.1222i | 0.516356 | + | 0.375155i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 0.618034 | + | 0.131367i | 0.0228745 | + | 0.00486212i | ||||
\(731\) | 5.47063 | − | 52.0496i | 0.202339 | − | 1.92512i | ||||
\(732\) | 0.672056 | + | 6.39419i | 0.0248399 | + | 0.236336i | ||||
\(733\) | −32.2869 | + | 6.86279i | −1.19254 | + | 0.253483i | −0.761086 | − | 0.648650i | \(-0.775334\pi\) |
−0.431457 | + | 0.902133i | \(0.642000\pi\) | |||||||
\(734\) | −11.2785 | − | 5.02150i | −0.416296 | − | 0.185347i | ||||
\(735\) | 4.25102 | − | 4.72123i | 0.156801 | − | 0.174145i | ||||
\(736\) | 0.0646021 | + | 0.198825i | 0.00238127 | + | 0.00732878i | ||||
\(737\) | −28.5785 | − | 31.7396i | −1.05270 | − | 1.16914i | ||||
\(738\) | 2.24520 | − | 3.88881i | 0.0826471 | − | 0.143149i | ||||
\(739\) | −12.4193 | − | 21.5108i | −0.456851 | − | 0.791289i | 0.541941 | − | 0.840416i | \(-0.317689\pi\) |
−0.998793 | + | 0.0491269i | \(0.984356\pi\) | |||||||
\(740\) | −0.289988 | + | 0.892491i | −0.0106602 | + | 0.0328086i | ||||
\(741\) | −20.1335 | + | 8.96403i | −0.739624 | + | 0.329302i | ||||
\(742\) | 24.7877 | − | 18.0093i | 0.909986 | − | 0.661144i | ||||
\(743\) | −28.9212 | −1.06102 | −0.530508 | − | 0.847680i | \(-0.677999\pi\) | ||||
−0.530508 | + | 0.847680i | \(0.677999\pi\) | |||||||
\(744\) | −5.12825 | + | 2.16819i | −0.188011 | + | 0.0794898i | ||||
\(745\) | −9.82242 | −0.359866 | ||||||||
\(746\) | 24.3655 | − | 17.7026i | 0.892085 | − | 0.648137i | ||||
\(747\) | 7.22851 | − | 3.21834i | 0.264477 | − | 0.117753i | ||||
\(748\) | −8.20421 | + | 25.2500i | −0.299976 | + | 0.923230i | ||||
\(749\) | −6.23200 | − | 10.7941i | −0.227712 | − | 0.394409i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 35.6380 | + | 39.5800i | 1.30045 | + | 1.44430i | 0.825629 | + | 0.564213i | \(0.190820\pi\) |
0.474820 | + | 0.880083i | \(0.342513\pi\) | |||||||
\(752\) | −2.35351 | − | 7.24336i | −0.0858237 | − | 0.264138i | ||||
\(753\) | 19.0657 | − | 21.1746i | 0.694792 | − | 0.771645i | ||||
\(754\) | −38.5265 | − | 17.1531i | −1.40305 | − | 0.624678i | ||||
\(755\) | −4.48485 | + | 0.953285i | −0.163220 | + | 0.0346936i | ||||
\(756\) | −0.381966 | − | 3.63416i | −0.0138920 | − | 0.132173i | ||||
\(757\) | 1.41225 | − | 13.4366i | 0.0513290 | − | 0.488362i | −0.938415 | − | 0.345510i | \(-0.887706\pi\) |
0.989744 | − | 0.142852i | \(-0.0456274\pi\) | |||||||
\(758\) | 17.5630 | + | 3.73312i | 0.637915 | + | 0.135593i | ||||
\(759\) | 0.712835 | + | 0.517905i | 0.0258743 | + | 0.0187988i | ||||
\(760\) | 3.78339 | + | 2.74879i | 0.137238 | + | 0.0997091i | ||||
\(761\) | −1.82709 | − | 0.388360i | −0.0662320 | − | 0.0140780i | 0.174677 | − | 0.984626i | \(-0.444112\pi\) |
−0.240908 | + | 0.970548i | \(0.577445\pi\) | |||||||
\(762\) | −1.32912 | + | 12.6458i | −0.0481491 | + | 0.458108i | ||||
\(763\) | 4.72356 | + | 44.9417i | 0.171005 | + | 1.62700i | ||||
\(764\) | −16.2825 | + | 3.46096i | −0.589081 | + | 0.125213i | ||||
\(765\) | 5.75463 | + | 2.56213i | 0.208059 | + | 0.0926339i | ||||
\(766\) | 20.2204 | − | 22.4570i | 0.730593 | − | 0.811406i | ||||
\(767\) | 5.03042 | + | 15.4821i | 0.181638 | + | 0.559025i | ||||
\(768\) | −0.669131 | − | 0.743145i | −0.0241452 | − | 0.0268159i | ||||
\(769\) | 16.5812 | − | 28.7195i | 0.597935 | − | 1.03565i | −0.395191 | − | 0.918599i | \(-0.629322\pi\) |
0.993126 | − | 0.117054i | \(-0.0373451\pi\) | |||||||
\(770\) | −7.70065 | − | 13.3379i | −0.277512 | − | 0.480665i | ||||
\(771\) | −0.210135 | + | 0.646730i | −0.00756784 | + | 0.0232914i | ||||
\(772\) | −21.4104 | + | 9.53254i | −0.770578 | + | 0.343084i | ||||
\(773\) | 32.3607 | − | 23.5114i | 1.16393 | − | 0.845647i | 0.173663 | − | 0.984805i | \(-0.444440\pi\) |
0.990270 | + | 0.139159i | \(0.0444398\pi\) | |||||||
\(774\) | 8.30836 | 0.298638 | ||||||||
\(775\) | 3.64679 | + | 4.20725i | 0.130997 | + | 0.151129i | ||||
\(776\) | −0.291796 | −0.0104749 | ||||||||
\(777\) | −2.77425 | + | 2.01561i | −0.0995256 | + | 0.0723096i | ||||
\(778\) | 6.94153 | − | 3.09057i | 0.248866 | − | 0.110802i | ||||
\(779\) | −6.48920 | + | 19.9717i | −0.232500 | + | 0.715561i | ||||
\(780\) | −2.35634 | − | 4.08129i | −0.0843703 | − | 0.146134i | ||||
\(781\) | −20.5913 | + | 35.6651i | −0.736814 | + | 1.27620i | ||||
\(782\) | −0.881176 | − | 0.978645i | −0.0315108 | − | 0.0349963i | ||||
\(783\) | 2.76531 | + | 8.51076i | 0.0988242 | + | 0.304150i | ||||
\(784\) | 4.25102 | − | 4.72123i | 0.151822 | − | 0.168615i | ||||
\(785\) | −0.876807 | − | 0.390380i | −0.0312946 | − | 0.0139333i | ||||
\(786\) | 19.9144 | − | 4.23294i | 0.710323 | − | 0.150984i | ||||
\(787\) | −3.50200 | − | 33.3193i | −0.124833 | − | 1.18770i | −0.860172 | − | 0.510005i | \(-0.829644\pi\) |
0.735339 | − | 0.677700i | \(-0.237023\pi\) | |||||||
\(788\) | 1.69342 | − | 16.1118i | 0.0603256 | − | 0.573960i | ||||
\(789\) | 24.2212 | + | 5.14837i | 0.862297 | + | 0.183287i | ||||
\(790\) | −1.73528 | − | 1.26075i | −0.0617384 | − | 0.0448556i | ||||
\(791\) | 15.9729 | + | 11.6050i | 0.567930 | + | 0.412625i | ||||
\(792\) | −4.12260 | − | 0.876286i | −0.146490 | − | 0.0311375i | ||||
\(793\) | −3.16718 | + | 30.1337i | −0.112470 | + | 1.07008i | ||||
\(794\) | −1.50711 | − | 14.3392i | −0.0534853 | − | 0.508878i | ||||
\(795\) | −8.20150 | + | 1.74328i | −0.290877 | + | 0.0618279i | ||||
\(796\) | −15.8619 | − | 7.06218i | −0.562211 | − | 0.250312i | ||||
\(797\) | 30.9835 | − | 34.4106i | 1.09749 | − | 1.21889i | 0.123488 | − | 0.992346i | \(-0.460592\pi\) |
0.974002 | − | 0.226540i | \(-0.0727415\pi\) | |||||||
\(798\) | 5.28075 | + | 16.2525i | 0.186936 | + | 0.575331i | ||||
\(799\) | 32.1020 | + | 35.6529i | 1.13569 | + | 1.26131i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | −7.32157 | − | 12.6813i | −0.258695 | − | 0.448073i | ||||
\(802\) | 9.98956 | − | 30.7447i | 0.352744 | − | 1.08563i | ||||
\(803\) | 2.43279 | − | 1.08315i | 0.0858514 | − | 0.0382235i | ||||
\(804\) | −8.19821 | + | 5.95635i | −0.289129 | + | 0.210064i | ||||
\(805\) | 0.763932 | 0.0269251 | ||||||||
\(806\) | −25.7641 | + | 4.96993i | −0.907500 | + | 0.175058i | ||||
\(807\) | −1.64911 | −0.0580515 | ||||||||
\(808\) | 3.94433 | − | 2.86573i | 0.138761 | − | 0.100816i | ||||
\(809\) | −32.3230 | + | 14.3911i | −1.13642 | + | 0.505965i | −0.886696 | − | 0.462353i | \(-0.847005\pi\) |
−0.249721 | + | 0.968318i | \(0.580339\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | −27.7145 | − | 48.0028i | −0.973186 | − | 1.68561i | −0.685795 | − | 0.727794i | \(-0.740546\pi\) |
−0.287391 | − | 0.957813i | \(-0.592788\pi\) | |||||||
\(812\) | −16.3502 | + | 28.3193i | −0.573778 | + | 0.993813i | ||||
\(813\) | 11.4867 | + | 12.7572i | 0.402854 | + | 0.447415i | ||||
\(814\) | 1.22221 | + | 3.76159i | 0.0428386 | + | 0.131844i | ||||
\(815\) | 8.19470 | − | 9.10113i | 0.287048 | − | 0.318799i | ||||
\(816\) | 5.75463 | + | 2.56213i | 0.201452 | + | 0.0896924i | ||||
\(817\) | −38.0052 | + | 8.07825i | −1.32963 | + | 0.282622i | ||||
\(818\) | −0.214135 | − | 2.03736i | −0.00748705 | − | 0.0712345i | ||||
\(819\) | 1.80008 | − | 17.1266i | 0.0628999 | − | 0.598452i | ||||
\(820\) | −4.39228 | − | 0.933609i | −0.153385 | − | 0.0326030i | ||||
\(821\) | −32.0363 | − | 23.2757i | −1.11807 | − | 0.812329i | −0.134159 | − | 0.990960i | \(-0.542833\pi\) |
−0.983916 | + | 0.178631i | \(0.942833\pi\) | |||||||
\(822\) | −7.07210 | − | 5.13818i | −0.246668 | − | 0.179215i | ||||
\(823\) | −1.74159 | − | 0.370187i | −0.0607081 | − | 0.0129039i | 0.177458 | − | 0.984128i | \(-0.443213\pi\) |
−0.238166 | + | 0.971225i | \(0.576546\pi\) | |||||||
\(824\) | 0.657068 | − | 6.25159i | 0.0228901 | − | 0.217784i | ||||
\(825\) | 0.440557 | + | 4.19162i | 0.0153382 | + | 0.145933i | ||||
\(826\) | 12.3467 | − | 2.62437i | 0.429596 | − | 0.0913134i | ||||
\(827\) | 35.9949 | + | 16.0260i | 1.25166 | + | 0.557277i | 0.922135 | − | 0.386868i | \(-0.126443\pi\) |
0.329529 | + | 0.944145i | \(0.393110\pi\) | |||||||
\(828\) | 0.139886 | − | 0.155360i | 0.00486139 | − | 0.00539912i | ||||
\(829\) | −10.5992 | − | 32.6211i | −0.368126 | − | 1.13298i | −0.948000 | − | 0.318270i | \(-0.896898\pi\) |
0.579874 | − | 0.814706i | \(-0.303102\pi\) | |||||||
\(830\) | −5.29456 | − | 5.88020i | −0.183777 | − | 0.204105i | ||||
\(831\) | −13.4714 | + | 23.3331i | −0.467317 | + | 0.809417i | ||||
\(832\) | −2.35634 | − | 4.08129i | −0.0816912 | − | 0.141493i | ||||
\(833\) | −12.3666 | + | 38.0606i | −0.428478 | + | 1.31872i | ||||
\(834\) | 18.0704 | − | 8.04545i | 0.625726 | − | 0.278591i | ||||
\(835\) | −4.39781 | + | 3.19519i | −0.152192 | + | 0.110574i | ||||
\(836\) | 19.7102 | 0.681690 | ||||||||
\(837\) | 4.44183 | + | 3.35710i | 0.153532 | + | 0.116038i | ||||
\(838\) | −18.5379 | −0.640381 | ||||||||
\(839\) | −29.1027 | + | 21.1444i | −1.00474 | + | 0.729984i | −0.963099 | − | 0.269148i | \(-0.913258\pi\) |
−0.0416385 | + | 0.999133i | \(0.513258\pi\) | |||||||
\(840\) | −3.33826 | + | 1.48629i | −0.115181 | + | 0.0512819i | ||||
\(841\) | 15.7846 | − | 48.5799i | 0.544295 | − | 1.67517i | ||||
\(842\) | −12.4263 | − | 21.5230i | −0.428239 | − | 0.741732i | ||||
\(843\) | −0.157795 | + | 0.273309i | −0.00543475 | + | 0.00941327i | ||||
\(844\) | −3.04468 | − | 3.38146i | −0.104802 | − | 0.116395i | ||||
\(845\) | −2.84582 | − | 8.75853i | −0.0978991 | − | 0.301303i | ||||
\(846\) | −5.09618 | + | 5.65988i | −0.175210 | + | 0.194591i | ||||
\(847\) | −22.5791 | − | 10.0529i | −0.775827 | − | 0.345420i | ||||
\(848\) | −8.20150 | + | 1.74328i | −0.281641 | + | 0.0598646i | ||||
\(849\) | 1.04646 | + | 9.95641i | 0.0359144 | + | 0.341703i | ||||
\(850\) | 0.658449 | − | 6.26472i | 0.0225846 | − | 0.214878i | ||||
\(851\) | −0.191896 | − | 0.0407888i | −0.00657812 | − | 0.00139822i | ||||
\(852\) | 7.90503 | + | 5.74334i | 0.270822 | + | 0.196764i | ||||
\(853\) | −26.8950 | − | 19.5404i | −0.920869 | − | 0.669050i | 0.0228713 | − | 0.999738i | \(-0.492719\pi\) |
−0.943740 | + | 0.330688i | \(0.892719\pi\) | |||||||
\(854\) | 22.9808 | + | 4.88472i | 0.786387 | + | 0.167152i | ||||
\(855\) | 0.488830 | − | 4.65090i | 0.0167176 | − | 0.159058i | ||||
\(856\) | 0.356535 | + | 3.39220i | 0.0121861 | + | 0.115943i | ||||
\(857\) | −54.3496 | + | 11.5524i | −1.85655 | + | 0.394621i | −0.993816 | − | 0.111042i | \(-0.964581\pi\) |
−0.862731 | + | 0.505663i | \(0.831248\pi\) | |||||||
\(858\) | −18.1453 | − | 8.07881i | −0.619470 | − | 0.275806i | ||||
\(859\) | 28.1779 | − | 31.2947i | 0.961417 | − | 1.06776i | −0.0362393 | − | 0.999343i | \(-0.511538\pi\) |
0.997657 | − | 0.0684190i | \(-0.0217955\pi\) | |||||||
\(860\) | −2.56743 | − | 7.90172i | −0.0875485 | − | 0.269447i | ||||
\(861\) | −10.9796 | − | 12.1941i | −0.374184 | − | 0.415574i | ||||
\(862\) | −18.1941 | + | 31.5132i | −0.619695 | + | 1.07334i | ||||
\(863\) | 14.3454 | + | 24.8469i | 0.488322 | + | 0.845798i | 0.999910 | − | 0.0134326i | \(-0.00427587\pi\) |
−0.511588 | + | 0.859231i | \(0.670943\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | −18.5184 | + | 8.24492i | −0.629644 | + | 0.280336i | ||||
\(866\) | −31.9044 | + | 23.1799i | −1.08415 | + | 0.787685i | ||||
\(867\) | −22.6803 | −0.770262 | ||||||||
\(868\) | 1.74435 | + | 20.2707i | 0.0592072 | + | 0.688033i | ||||
\(869\) | −9.04021 | −0.306668 | ||||||||
\(870\) | 7.23968 | − | 5.25994i | 0.245448 | − | 0.178329i | ||||
\(871\) | −43.6273 | + | 19.4241i | −1.47826 | + | 0.658162i | ||||
\(872\) | 3.82144 | − | 11.7612i | 0.129410 | − | 0.398284i | ||||
\(873\) | 0.145898 | + | 0.252703i | 0.00493790 | + | 0.00855269i | ||||
\(874\) | −0.488830 | + | 0.846678i | −0.0165349 | + | 0.0286393i | ||||
\(875\) | 2.44512 | + | 2.71559i | 0.0826603 | + | 0.0918036i | ||||
\(876\) | −0.195250 | − | 0.600917i | −0.00659688 | − | 0.0203031i | ||||
\(877\) | −25.3284 | + | 28.1300i | −0.855278 | + | 0.949882i | −0.999211 | − | 0.0397051i | \(-0.987358\pi\) |
0.143934 | + | 0.989587i | \(0.454025\pi\) | |||||||
\(878\) | 1.68379 | + | 0.749672i | 0.0568252 | + | 0.0253002i | ||||
\(879\) | −5.55955 | + | 1.18172i | −0.187519 | + | 0.0398584i | ||||
\(880\) | 0.440557 | + | 4.19162i | 0.0148512 | + | 0.141299i | ||||
\(881\) | −5.39131 | + | 51.2949i | −0.181638 | + | 1.72817i | 0.401556 | + | 0.915835i | \(0.368470\pi\) |
−0.583194 | + | 0.812333i | \(0.698197\pi\) | |||||||
\(882\) | −6.21422 | − | 1.32087i | −0.209244 | − | 0.0444761i | ||||
\(883\) | 18.7820 | + | 13.6460i | 0.632066 | + | 0.459223i | 0.857115 | − | 0.515124i | \(-0.172254\pi\) |
−0.225049 | + | 0.974347i | \(0.572254\pi\) | |||||||
\(884\) | 24.0166 | + | 17.4491i | 0.807766 | + | 0.586877i | ||||
\(885\) | −3.37878 | − | 0.718181i | −0.113576 | − | 0.0241414i | ||||
\(886\) | −1.02327 | + | 9.73580i | −0.0343776 | + | 0.327081i | ||||
\(887\) | −1.34336 | − | 12.7813i | −0.0451057 | − | 0.429153i | −0.993651 | − | 0.112510i | \(-0.964111\pi\) |
0.948545 | − | 0.316643i | \(-0.102556\pi\) | |||||||
\(888\) | 0.917914 | − | 0.195109i | 0.0308032 | − | 0.00654742i | ||||
\(889\) | 42.4474 | + | 18.8988i | 1.42364 | + | 0.633846i | ||||
\(890\) | −9.79817 | + | 10.8820i | −0.328435 | + | 0.364764i | ||||
\(891\) | 1.30242 | + | 4.00842i | 0.0436325 | + | 0.134287i | ||||
\(892\) | 0.286023 | + | 0.317661i | 0.00957676 | + | 0.0106361i | ||||
\(893\) | 17.8085 | − | 30.8452i | 0.595938 | − | 1.03220i | ||||
\(894\) | 4.91121 | + | 8.50647i | 0.164255 | + | 0.284499i | ||||
\(895\) | −2.22732 | + | 6.85498i | −0.0744510 | + | 0.229137i | ||||
\(896\) | −3.33826 | + | 1.48629i | −0.111523 | + | 0.0496535i | ||||
\(897\) | 0.797057 | − | 0.579096i | 0.0266130 | − | 0.0193354i | ||||
\(898\) | −24.4512 | −0.815949 | ||||||||
\(899\) | −14.4993 | − | 47.6681i | −0.483580 | − | 1.58982i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 42.7301 | − | 31.0452i | 1.42355 | − | 1.03427i | ||||
\(902\) | −17.2895 | + | 7.69779i | −0.575678 | + | 0.256309i | ||||
\(903\) | 9.38184 | − | 28.8743i | 0.312208 | − | 0.960878i | ||||
\(904\) | −2.70150 | − | 4.67914i | −0.0898506 | − | 0.155626i | ||||
\(905\) | 1.50670 | − | 2.60969i | 0.0500845 | − | 0.0867490i | ||||
\(906\) | 3.06799 | + | 3.40735i | 0.101927 | + | 0.113202i | ||||
\(907\) | 16.1326 | + | 49.6511i | 0.535675 | + | 1.64864i | 0.742187 | + | 0.670193i | \(0.233789\pi\) |
−0.206512 | + | 0.978444i | \(0.566211\pi\) | |||||||
\(908\) | 0.992443 | − | 1.10222i | 0.0329354 | − | 0.0365784i | ||||
\(909\) | −4.45396 | − | 1.98303i | −0.147729 | − | 0.0657730i | ||||
\(910\) | −16.8446 | + | 3.58044i | −0.558394 | + | 0.118690i | ||||
\(911\) | −5.59898 | − | 53.2707i | −0.185502 | − | 1.76494i | −0.551360 | − | 0.834267i | \(-0.685891\pi\) |
0.365858 | − | 0.930671i | \(-0.380776\pi\) | |||||||
\(912\) | 0.488830 | − | 4.65090i | 0.0161868 | − | 0.154007i | ||||
\(913\) | −32.6205 | − | 6.93369i | −1.07958 | − | 0.229472i | ||||
\(914\) | 4.27668 | + | 3.10719i | 0.141460 | + | 0.102777i | ||||
\(915\) | −5.20150 | − | 3.77911i | −0.171956 | − | 0.124934i | ||||
\(916\) | −28.5060 | − | 6.05915i | −0.941866 | − | 0.200200i | ||||
\(917\) | 7.77656 | − | 73.9890i | 0.256805 | − | 2.44333i | ||||
\(918\) | −0.658449 | − | 6.26472i | −0.0217320 | − | 0.206767i | ||||
\(919\) | −34.0895 | + | 7.24594i | −1.12451 | + | 0.239022i | −0.732385 | − | 0.680891i | \(-0.761593\pi\) |
−0.392123 | + | 0.919913i | \(0.628259\pi\) | |||||||
\(920\) | −0.190983 | − | 0.0850311i | −0.00629652 | − | 0.00280339i | ||||
\(921\) | −11.6745 | + | 12.9659i | −0.384688 | + | 0.427240i | ||||
\(922\) | −3.32440 | − | 10.2315i | −0.109483 | − | 0.336955i | ||||
\(923\) | 30.8123 | + | 34.2205i | 1.01420 | + | 1.12638i | ||||
\(924\) | −7.70065 | + | 13.3379i | −0.253333 | + | 0.438785i | ||||
\(925\) | −0.469210 | − | 0.812696i | −0.0154275 | − | 0.0267213i | ||||
\(926\) | 5.57782 | − | 17.1668i | 0.183299 | − | 0.564135i | ||||
\(927\) | −5.74257 | + | 2.55676i | −0.188611 | + | 0.0839749i | ||||
\(928\) | 7.23968 | − | 5.25994i | 0.237654 | − | 0.172666i | ||||
\(929\) | 45.3826 | 1.48896 | 0.744478 | − | 0.667647i | \(-0.232699\pi\) | ||||
0.744478 | + | 0.667647i | \(0.232699\pi\) | |||||||
\(930\) | 1.82019 | − | 5.26184i | 0.0596863 | − | 0.172542i | ||||
\(931\) | 29.7102 | 0.973711 | ||||||||
\(932\) | −1.23761 | + | 0.899179i | −0.0405394 | + | 0.0294536i | ||||
\(933\) | −25.4058 | + | 11.3114i | −0.831747 | + | 0.370318i | ||||
\(934\) | 12.2108 | − | 37.5811i | 0.399551 | − | 1.22969i | ||||
\(935\) | −13.2747 | − | 22.9924i | −0.434129 | − | 0.751933i | ||||
\(936\) | −2.35634 | + | 4.08129i | −0.0770192 | + | 0.133401i | ||||
\(937\) | 2.43932 | + | 2.70914i | 0.0796890 | + | 0.0885036i | 0.781671 | − | 0.623691i | \(-0.214368\pi\) |
−0.701982 | + | 0.712195i | \(0.747701\pi\) | |||||||
\(938\) | 11.4428 | + | 35.2174i | 0.373622 | + | 1.14989i | ||||
\(939\) | −14.4230 | + | 16.0184i | −0.470676 | + | 0.522739i | ||||
\(940\) | 6.95768 | + | 3.09776i | 0.226934 | + | 0.101038i | ||||
\(941\) | −41.5749 | + | 8.83702i | −1.35530 | + | 0.288079i | −0.827585 | − | 0.561340i | \(-0.810286\pi\) |
−0.527719 | + | 0.849419i | \(0.676953\pi\) | |||||||
\(942\) | 0.100325 | + | 0.954527i | 0.00326876 | + | 0.0311002i | ||||
\(943\) | 0.0981262 | − | 0.933609i | 0.00319543 | − | 0.0304025i | ||||
\(944\) | −3.37878 | − | 0.718181i | −0.109970 | − | 0.0233748i | ||||
\(945\) | 2.95630 | + | 2.14787i | 0.0961683 | + | 0.0698704i | ||||
\(946\) | −28.3296 | − | 20.5826i | −0.921074 | − | 0.669200i | ||||
\(947\) | 36.6878 | + | 7.79822i | 1.19219 | + | 0.253408i | 0.760939 | − | 0.648823i | \(-0.224738\pi\) |
0.431253 | + | 0.902231i | \(0.358072\pi\) | |||||||
\(948\) | −0.224205 | + | 2.13317i | −0.00728185 | + | 0.0692822i | ||||
\(949\) | −0.311250 | − | 2.96135i | −0.0101036 | − | 0.0961294i | ||||
\(950\) | −4.57433 | + | 0.972304i | −0.148411 | + | 0.0315457i | ||||
\(951\) | −13.9493 | − | 6.21065i | −0.452338 | − | 0.201394i | ||||
\(952\) | 15.4024 | − | 17.1061i | 0.499195 | − | 0.554412i | ||||
\(953\) | −4.31418 | − | 13.2777i | −0.139750 | − | 0.430107i | 0.856548 | − | 0.516067i | \(-0.172604\pi\) |
−0.996299 | + | 0.0859599i | \(0.972604\pi\) | |||||||
\(954\) | 5.61048 | + | 6.23107i | 0.181646 | + | 0.201738i | ||||
\(955\) | 8.32315 | − | 14.4161i | 0.269331 | − | 0.466494i | ||||
\(956\) | 14.1125 | + | 24.4436i | 0.456431 | + | 0.790562i | ||||
\(957\) | 11.6550 | − | 35.8703i | 0.376752 | − | 1.15952i | ||||
\(958\) | 11.0716 | − | 4.92938i | 0.357706 | − | 0.159261i | ||||
\(959\) | −25.8427 | + | 18.7758i | −0.834505 | + | 0.606303i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −24.3738 | − | 19.1551i | −0.786253 | − | 0.617905i | ||||
\(962\) | 4.42247 | 0.142586 | ||||||||
\(963\) | 2.75947 | − | 2.00487i | 0.0889225 | − | 0.0646060i | ||||
\(964\) | −19.1052 | + | 8.50618i | −0.615337 | + | 0.273966i | ||||
\(965\) | 7.24232 | − | 22.2896i | 0.233138 | − | 0.717526i | ||||
\(966\) | −0.381966 | − | 0.661585i | −0.0122896 | − | 0.0212861i | ||||
\(967\) | −21.8174 | + | 37.7889i | −0.701601 | + | 1.21521i | 0.266303 | + | 0.963889i | \(0.414198\pi\) |
−0.967904 | + | 0.251319i | \(0.919136\pi\) | |||||||
\(968\) | 4.52582 | + | 5.02643i | 0.145465 | + | 0.161556i | ||||
\(969\) | 9.10317 | + | 28.0167i | 0.292436 | + | 0.900025i | ||||
\(970\) | 0.195250 | − | 0.216847i | 0.00626909 | − | 0.00696253i | ||||
\(971\) | −3.16624 | − | 1.40970i | −0.101610 | − | 0.0452395i | 0.355302 | − | 0.934751i | \(-0.384378\pi\) |
−0.456912 | + | 0.889512i | \(0.651045\pi\) | |||||||
\(972\) | 0.978148 | − | 0.207912i | 0.0313741 | − | 0.00666877i | ||||
\(973\) | −7.55548 | − | 71.8856i | −0.242218 | − | 2.30455i | ||||
\(974\) | 1.74788 | − | 16.6300i | 0.0560058 | − | 0.532860i | ||||
\(975\) | 4.60969 | + | 0.979819i | 0.147628 | + | 0.0313793i | ||||
\(976\) | −5.20150 | − | 3.77911i | −0.166496 | − | 0.120966i | ||||
\(977\) | 12.9355 | + | 9.39816i | 0.413842 | + | 0.300674i | 0.775155 | − | 0.631771i | \(-0.217672\pi\) |
−0.361313 | + | 0.932444i | \(0.617672\pi\) | |||||||
\(978\) | −11.9792 | − | 2.54625i | −0.383051 | − | 0.0814201i | ||||
\(979\) | −6.45113 | + | 61.3784i | −0.206179 | + | 1.96166i | ||||
\(980\) | 0.664074 | + | 6.31824i | 0.0212131 | + | 0.201829i | ||||
\(981\) | −12.0962 | + | 2.57113i | −0.386202 | + | 0.0820899i | ||||
\(982\) | 1.25763 | + | 0.559934i | 0.0401326 | + | 0.0178682i | ||||
\(983\) | 14.8458 | − | 16.4880i | 0.473509 | − | 0.525885i | −0.458318 | − | 0.888788i | \(-0.651548\pi\) |
0.931827 | + | 0.362904i | \(0.118215\pi\) | |||||||
\(984\) | 1.38761 | + | 4.27063i | 0.0442355 | + | 0.136143i | ||||
\(985\) | 10.8403 | + | 12.0394i | 0.345401 | + | 0.383606i | ||||
\(986\) | −28.1851 | + | 48.8180i | −0.897595 | + | 1.55468i | ||||
\(987\) | 13.9154 | + | 24.1021i | 0.442930 | + | 0.767178i | ||||
\(988\) | 6.81040 | − | 20.9602i | 0.216668 | − | 0.666834i | ||||
\(989\) | 1.58676 | − | 0.706469i | 0.0504559 | − | 0.0224644i | ||||
\(990\) | 3.40977 | − | 2.47734i | 0.108370 | − | 0.0787351i | ||||
\(991\) | 34.5087 | 1.09620 | 0.548102 | − | 0.836411i | \(-0.315350\pi\) | ||||
0.548102 | + | 0.836411i | \(0.315350\pi\) | |||||||
\(992\) | 1.82019 | − | 5.26184i | 0.0577910 | − | 0.167063i | ||||
\(993\) | −26.1652 | −0.830328 | ||||||||
\(994\) | 28.8864 | − | 20.9872i | 0.916222 | − | 0.665674i | ||||
\(995\) | 15.8619 | − | 7.06218i | 0.502857 | − | 0.223886i | ||||
\(996\) | −2.44512 | + | 7.52532i | −0.0774767 | + | 0.238449i | ||||
\(997\) | 11.2951 | + | 19.5637i | 0.357719 | + | 0.619587i | 0.987579 | − | 0.157121i | \(-0.0502212\pi\) |
−0.629860 | + | 0.776708i | \(0.716888\pi\) | |||||||
\(998\) | −2.14301 | + | 3.71180i | −0.0678358 | + | 0.117495i | ||||
\(999\) | −0.627926 | − | 0.697383i | −0.0198667 | − | 0.0220642i |
(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 | 930.2.bg.a.421.1 | yes | 8 | |
31.19 | even | 15 | inner | 930.2.bg.a.391.1 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.a.391.1 | ✓ | 8 | 31.19 | even | 15 | inner | |
930.2.bg.a.421.1 | yes | 8 | 1.1 | even | 1 | trivial |