Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.29 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.29 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.74563 | + | 1.37278i | 1.23435 | + | 0.970700i | 0.999999 | − | 0.00145276i | \(-0.000462427\pi\) |
0.234347 | + | 0.972153i | \(0.424705\pi\) | |||||||
\(3\) | 0.814576 | + | 0.580057i | 0.470296 | + | 0.334896i | ||||
\(4\) | 0.691183 | + | 2.84910i | 0.345592 | + | 1.42455i | ||||
\(5\) | 0.900327 | − | 0.173524i | 0.402639 | − | 0.0776022i | 0.0160883 | − | 0.999871i | \(-0.494879\pi\) |
0.386550 | + | 0.922268i | \(0.373667\pi\) | |||||||
\(6\) | 0.625658 | + | 2.13080i | 0.255424 | + | 0.869894i | ||||
\(7\) | −2.36104 | + | 1.19395i | −0.892388 | + | 0.451269i | ||||
\(8\) | −0.859559 | + | 1.88217i | −0.303900 | + | 0.665448i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | 1.80985 | + | 0.933041i | 0.572324 | + | 0.295053i | ||||
\(11\) | 1.96363 | + | 2.49696i | 0.592056 | + | 0.752861i | 0.986086 | − | 0.166237i | \(-0.0531617\pi\) |
−0.394030 | + | 0.919098i | \(0.628919\pi\) | |||||||
\(12\) | −1.08962 | + | 2.72173i | −0.314545 | + | 0.785696i | ||||
\(13\) | −1.26333 | − | 1.96579i | −0.350386 | − | 0.545211i | 0.620668 | − | 0.784074i | \(-0.286862\pi\) |
−0.971053 | + | 0.238863i | \(0.923225\pi\) | |||||||
\(14\) | −5.76052 | − | 1.15699i | −1.53956 | − | 0.309219i | ||||
\(15\) | 0.834039 | + | 0.380893i | 0.215348 | + | 0.0983461i | ||||
\(16\) | 1.12739 | − | 0.581210i | 0.281848 | − | 0.145303i | ||||
\(17\) | 0.328116 | + | 0.312858i | 0.0795798 | + | 0.0758792i | 0.728825 | − | 0.684700i | \(-0.240067\pi\) |
−0.649245 | + | 0.760579i | \(0.724915\pi\) | |||||||
\(18\) | −0.726337 | + | 2.09861i | −0.171199 | + | 0.494648i | ||||
\(19\) | −0.682757 | + | 0.651007i | −0.156635 | + | 0.149351i | −0.764344 | − | 0.644808i | \(-0.776937\pi\) |
0.607709 | + | 0.794160i | \(0.292089\pi\) | |||||||
\(20\) | 1.11668 | + | 2.44518i | 0.249697 | + | 0.546759i | ||||
\(21\) | −2.61580 | − | 0.396976i | −0.570814 | − | 0.0866272i | ||||
\(22\) | 7.05438i | 1.50400i | ||||||||
\(23\) | 1.31637 | − | 4.61163i | 0.274483 | − | 0.961592i | ||||
\(24\) | −1.79194 | + | 1.03458i | −0.365779 | + | 0.211182i | ||||
\(25\) | −3.86136 | + | 1.54586i | −0.772272 | + | 0.309171i | ||||
\(26\) | 0.493275 | − | 5.16581i | 0.0967391 | − | 1.01310i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | −5.03358 | − | 5.90158i | −0.951257 | − | 1.11529i | ||||
\(29\) | 1.08409 | − | 0.318318i | 0.201311 | − | 0.0591101i | −0.179523 | − | 0.983754i | \(-0.557455\pi\) |
0.380833 | + | 0.924644i | \(0.375637\pi\) | |||||||
\(30\) | 0.933041 | + | 1.80985i | 0.170349 | + | 0.330431i | ||||
\(31\) | −0.611021 | − | 6.39890i | −0.109743 | − | 1.14928i | −0.867740 | − | 0.497018i | \(-0.834428\pi\) |
0.757997 | − | 0.652258i | \(-0.226178\pi\) | |||||||
\(32\) | 6.82941 | + | 1.31626i | 1.20728 | + | 0.232684i | ||||
\(33\) | 0.151147 | + | 3.17298i | 0.0263114 | + | 0.552344i | ||||
\(34\) | 0.143284 | + | 0.996564i | 0.0245730 | + | 0.170909i | ||||
\(35\) | −1.91853 | + | 1.48464i | −0.324290 | + | 0.250950i | ||||
\(36\) | −2.46633 | + | 1.58502i | −0.411056 | + | 0.264169i | ||||
\(37\) | 8.69557 | − | 3.00957i | 1.42954 | − | 0.494770i | 0.500823 | − | 0.865550i | \(-0.333031\pi\) |
0.928721 | + | 0.370780i | \(0.120910\pi\) | |||||||
\(38\) | −2.08553 | + | 0.199144i | −0.338317 | + | 0.0323054i | ||||
\(39\) | 0.111186 | − | 2.33409i | 0.0178041 | − | 0.373753i | ||||
\(40\) | −0.447283 | + | 1.84372i | −0.0707216 | + | 0.291518i | ||||
\(41\) | 4.93869 | − | 4.27940i | 0.771294 | − | 0.668330i | −0.177537 | − | 0.984114i | \(-0.556813\pi\) |
0.948831 | + | 0.315784i | \(0.102267\pi\) | |||||||
\(42\) | −4.02126 | − | 4.28388i | −0.620493 | − | 0.661018i | ||||
\(43\) | −5.82035 | + | 2.65806i | −0.887594 | + | 0.405351i | −0.806416 | − | 0.591349i | \(-0.798596\pi\) |
−0.0811785 | + | 0.996700i | \(0.525868\pi\) | |||||||
\(44\) | −5.75684 | + | 7.32042i | −0.867876 | + | 1.10359i | ||||
\(45\) | 0.458448 | + | 0.794056i | 0.0683414 | + | 0.118371i | ||||
\(46\) | 8.62864 | − | 6.24311i | 1.27222 | − | 0.920497i | ||||
\(47\) | −10.0744 | − | 5.81648i | −1.46951 | − | 0.848420i | −0.470092 | − | 0.882618i | \(-0.655779\pi\) |
−0.999415 | + | 0.0341974i | \(0.989113\pi\) | |||||||
\(48\) | 1.25548 | + | 0.180511i | 0.181213 | + | 0.0260545i | ||||
\(49\) | 4.14899 | − | 5.63790i | 0.592712 | − | 0.805414i | ||||
\(50\) | −8.86262 | − | 2.60230i | −1.25336 | − | 0.368021i | ||||
\(51\) | 0.0857999 | + | 0.445172i | 0.0120144 | + | 0.0623366i | ||||
\(52\) | 4.72752 | − | 4.95808i | 0.655589 | − | 0.687562i | ||||
\(53\) | −6.57621 | − | 0.313264i | −0.903312 | − | 0.0430301i | −0.409216 | − | 0.912437i | \(-0.634198\pi\) |
−0.494096 | + | 0.869407i | \(0.664501\pi\) | |||||||
\(54\) | −1.80897 | + | 1.28816i | −0.246170 | + | 0.175297i | ||||
\(55\) | 2.20119 | + | 1.90734i | 0.296808 | + | 0.257186i | ||||
\(56\) | −0.217762 | − | 5.47014i | −0.0290996 | − | 0.730979i | ||||
\(57\) | −0.933778 | + | 0.134257i | −0.123682 | + | 0.0177828i | ||||
\(58\) | 2.32940 | + | 0.932550i | 0.305865 | + | 0.122450i | ||||
\(59\) | −0.163756 | + | 0.317641i | −0.0213192 | + | 0.0413534i | −0.899254 | − | 0.437426i | \(-0.855890\pi\) |
0.877935 | + | 0.478779i | \(0.158921\pi\) | |||||||
\(60\) | −0.508726 | + | 2.63952i | −0.0656763 | + | 0.340761i | ||||
\(61\) | −1.64394 | − | 2.30859i | −0.210485 | − | 0.295584i | 0.695814 | − | 0.718222i | \(-0.255044\pi\) |
−0.906299 | + | 0.422638i | \(0.861104\pi\) | |||||||
\(62\) | 7.71765 | − | 12.0089i | 0.980142 | − | 1.52513i | ||||
\(63\) | −1.90050 | − | 1.84068i | −0.239440 | − | 0.231904i | ||||
\(64\) | 8.45344 | + | 9.75579i | 1.05668 | + | 1.21947i | ||||
\(65\) | −1.47852 | − | 1.55063i | −0.183388 | − | 0.192332i | ||||
\(66\) | −4.09194 | + | 5.74633i | −0.503683 | + | 0.707324i | ||||
\(67\) | 4.39653 | + | 10.9820i | 0.537121 | + | 1.34166i | 0.910317 | + | 0.413912i | \(0.135838\pi\) |
−0.373196 | + | 0.927753i | \(0.621738\pi\) | |||||||
\(68\) | −0.664574 | + | 1.15108i | −0.0805914 | + | 0.139588i | ||||
\(69\) | 3.74730 | − | 2.99295i | 0.451121 | − | 0.360309i | ||||
\(70\) | −5.38711 | − | 0.0420837i | −0.643883 | − | 0.00502997i | ||||
\(71\) | −1.01704 | + | 7.07367i | −0.120700 | + | 0.839490i | 0.836065 | + | 0.548630i | \(0.184850\pi\) |
−0.956766 | + | 0.290860i | \(0.906059\pi\) | |||||||
\(72\) | −2.05979 | − | 0.196686i | −0.242748 | − | 0.0231797i | ||||
\(73\) | 6.33197 | − | 1.53612i | 0.741101 | − | 0.179789i | 0.152602 | − | 0.988288i | \(-0.451235\pi\) |
0.588498 | + | 0.808499i | \(0.299719\pi\) | |||||||
\(74\) | 19.3107 | + | 6.68350i | 2.24482 | + | 0.776941i | ||||
\(75\) | −4.04206 | − | 0.980592i | −0.466736 | − | 0.113229i | ||||
\(76\) | −2.32669 | − | 1.49527i | −0.266890 | − | 0.171520i | ||||
\(77\) | −7.61743 | − | 3.55094i | −0.868086 | − | 0.404667i | ||||
\(78\) | 3.39827 | − | 3.92182i | 0.384779 | − | 0.444058i | ||||
\(79\) | −2.20102 | + | 0.104847i | −0.247634 | + | 0.0117963i | −0.171032 | − | 0.985266i | \(-0.554710\pi\) |
−0.0766020 | + | 0.997062i | \(0.524407\pi\) | |||||||
\(80\) | 0.914167 | − | 0.718909i | 0.102207 | − | 0.0803764i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 14.4958 | − | 0.690519i | 1.60079 | − | 0.0762551i | ||||
\(83\) | −2.33328 | + | 2.69275i | −0.256111 | + | 0.295568i | −0.869215 | − | 0.494434i | \(-0.835375\pi\) |
0.613104 | + | 0.790002i | \(0.289921\pi\) | |||||||
\(84\) | −0.676976 | − | 7.72705i | −0.0738641 | − | 0.843090i | ||||
\(85\) | 0.349700 | + | 0.224739i | 0.0379303 | + | 0.0243763i | ||||
\(86\) | −13.8091 | − | 3.35005i | −1.48907 | − | 0.361245i | ||||
\(87\) | 1.06772 | + | 0.369540i | 0.114471 | + | 0.0396189i | ||||
\(88\) | −6.38755 | + | 1.54960i | −0.680915 | + | 0.165188i | ||||
\(89\) | −17.1882 | − | 1.64128i | −1.82195 | − | 0.173975i | −0.872649 | − | 0.488348i | \(-0.837600\pi\) |
−0.949299 | + | 0.314373i | \(0.898206\pi\) | |||||||
\(90\) | −0.289781 | + | 2.01547i | −0.0305456 | + | 0.212450i | ||||
\(91\) | 5.32982 | + | 3.13294i | 0.558717 | + | 0.328421i | ||||
\(92\) | 14.0488 | + | 0.562990i | 1.46469 | + | 0.0586957i | ||||
\(93\) | 3.21400 | − | 5.56681i | 0.333276 | − | 0.577252i | ||||
\(94\) | −9.60149 | − | 23.9834i | −0.990318 | − | 2.47369i | ||||
\(95\) | −0.501739 | + | 0.704594i | −0.0514773 | + | 0.0722898i | ||||
\(96\) | 4.79957 | + | 5.03364i | 0.489854 | + | 0.513744i | ||||
\(97\) | 1.30470 | + | 1.50570i | 0.132472 | + | 0.152881i | 0.818110 | − | 0.575062i | \(-0.195022\pi\) |
−0.685638 | + | 0.727943i | \(0.740477\pi\) | |||||||
\(98\) | 14.9822 | − | 4.14605i | 1.51343 | − | 0.418814i | ||||
\(99\) | −1.71739 | + | 2.67230i | −0.172604 | + | 0.268577i | ||||
\(100\) | −7.07320 | − | 9.93292i | −0.707320 | − | 0.993292i | ||||
\(101\) | 2.42509 | − | 12.5826i | 0.241305 | − | 1.25201i | −0.635853 | − | 0.771810i | \(-0.719352\pi\) |
0.877158 | − | 0.480201i | \(-0.159436\pi\) | |||||||
\(102\) | −0.461348 | + | 0.894890i | −0.0456802 | + | 0.0886073i | ||||
\(103\) | 11.4637 | + | 4.58938i | 1.12955 | + | 0.452205i | 0.859752 | − | 0.510711i | \(-0.170618\pi\) |
0.269801 | + | 0.962916i | \(0.413042\pi\) | |||||||
\(104\) | 4.78586 | − | 0.688102i | 0.469292 | − | 0.0674740i | ||||
\(105\) | −2.42396 | + | 0.0964958i | −0.236554 | + | 0.00941702i | ||||
\(106\) | −11.0496 | − | 9.57452i | −1.07323 | − | 0.929960i | ||||
\(107\) | −9.99407 | + | 7.11674i | −0.966163 | + | 0.688001i | −0.950125 | − | 0.311870i | \(-0.899045\pi\) |
−0.0160380 | + | 0.999871i | \(0.505105\pi\) | |||||||
\(108\) | −2.92842 | − | 0.139498i | −0.281787 | − | 0.0134232i | ||||
\(109\) | 0.674431 | − | 0.707323i | 0.0645988 | − | 0.0677492i | −0.690641 | − | 0.723197i | \(-0.742672\pi\) |
0.755240 | + | 0.655448i | \(0.227520\pi\) | |||||||
\(110\) | 1.22410 | + | 6.35125i | 0.116714 | + | 0.605568i | ||||
\(111\) | 8.82893 | + | 2.59241i | 0.838005 | + | 0.246060i | ||||
\(112\) | −1.96788 | + | 2.71830i | −0.185947 | + | 0.256855i | ||||
\(113\) | 11.9477 | + | 1.71782i | 1.12395 | + | 0.161599i | 0.679128 | − | 0.734020i | \(-0.262358\pi\) |
0.444821 | + | 0.895620i | \(0.353267\pi\) | |||||||
\(114\) | −1.81434 | − | 1.04751i | −0.169928 | − | 0.0981080i | ||||
\(115\) | 0.384938 | − | 4.38040i | 0.0358957 | − | 0.408474i | ||||
\(116\) | 1.65622 | + | 2.86866i | 0.153776 | + | 0.266349i | ||||
\(117\) | 1.44447 | − | 1.83680i | 0.133542 | − | 0.169812i | ||||
\(118\) | −0.721907 | + | 0.329684i | −0.0664570 | + | 0.0303499i | ||||
\(119\) | −1.14823 | − | 0.346916i | −0.105258 | − | 0.0318017i | ||||
\(120\) | −1.43381 | + | 1.24240i | −0.130888 | + | 0.113415i | ||||
\(121\) | 0.214394 | − | 0.883742i | 0.0194903 | − | 0.0803402i | ||||
\(122\) | 0.299472 | − | 6.28670i | 0.0271130 | − | 0.569171i | ||||
\(123\) | 6.50524 | − | 0.621175i | 0.586557 | − | 0.0560094i | ||||
\(124\) | 17.8087 | − | 6.16367i | 1.59927 | − | 0.553514i | ||||
\(125\) | −7.06496 | + | 4.54037i | −0.631909 | + | 0.406103i | ||||
\(126\) | −0.790723 | − | 5.82211i | −0.0704432 | − | 0.518674i | ||||
\(127\) | 1.83367 | + | 12.7535i | 0.162712 | + | 1.13169i | 0.893493 | + | 0.449076i | \(0.148247\pi\) |
−0.730781 | + | 0.682612i | \(0.760844\pi\) | |||||||
\(128\) | 0.702164 | + | 14.7402i | 0.0620631 | + | 1.30287i | ||||
\(129\) | −6.28294 | − | 1.21094i | −0.553182 | − | 0.106617i | ||||
\(130\) | −0.452282 | − | 4.73651i | −0.0396678 | − | 0.415420i | ||||
\(131\) | −1.21179 | − | 2.35055i | −0.105875 | − | 0.205369i | 0.829947 | − | 0.557843i | \(-0.188371\pi\) |
−0.935822 | + | 0.352474i | \(0.885341\pi\) | |||||||
\(132\) | −8.93564 | + | 2.62374i | −0.777748 | + | 0.228367i | ||||
\(133\) | 0.834746 | − | 2.35223i | 0.0723816 | − | 0.203964i | ||||
\(134\) | −7.40113 | + | 25.2059i | −0.639360 | + | 2.17746i | ||||
\(135\) | −0.0871566 | + | 0.912745i | −0.00750124 | + | 0.0785566i | ||||
\(136\) | −0.870887 | + | 0.348651i | −0.0746780 | + | 0.0298965i | ||||
\(137\) | −9.81120 | + | 5.66450i | −0.838227 | + | 0.483951i | −0.856661 | − | 0.515879i | \(-0.827465\pi\) |
0.0184341 | + | 0.999830i | \(0.494132\pi\) | |||||||
\(138\) | 10.6500 | − | 0.0803836i | 0.906592 | − | 0.00684270i | ||||
\(139\) | 4.02467i | 0.341368i | 0.985326 | + | 0.170684i | \(0.0545977\pi\) | ||||
−0.985326 | + | 0.170684i | \(0.945402\pi\) | |||||||
\(140\) | −5.55593 | − | 4.43991i | −0.469562 | − | 0.375241i | ||||
\(141\) | −4.83250 | − | 10.5817i | −0.406970 | − | 0.891140i | ||||
\(142\) | −11.4859 | + | 10.9518i | −0.963879 | + | 0.919057i | ||||
\(143\) | 2.42776 | − | 7.01456i | 0.203020 | − | 0.586587i | ||||
\(144\) | 0.917978 | + | 0.875290i | 0.0764981 | + | 0.0729408i | ||||
\(145\) | 0.920800 | − | 0.474706i | 0.0764683 | − | 0.0394221i | ||||
\(146\) | 13.1620 | + | 6.01089i | 1.08930 | + | 0.497465i | ||||
\(147\) | 6.64997 | − | 2.18585i | 0.548480 | − | 0.180286i | ||||
\(148\) | 14.5848 | + | 22.6944i | 1.19886 | + | 1.86547i | ||||
\(149\) | −5.03416 | + | 12.5747i | −0.412415 | + | 1.03016i | 0.566165 | + | 0.824292i | \(0.308427\pi\) |
−0.978579 | + | 0.205870i | \(0.933998\pi\) | |||||||
\(150\) | −5.70979 | − | 7.26059i | −0.466203 | − | 0.592825i | ||||
\(151\) | 7.13685 | + | 3.67930i | 0.580789 | + | 0.299418i | 0.723475 | − | 0.690350i | \(-0.242544\pi\) |
−0.142686 | + | 0.989768i | \(0.545574\pi\) | |||||||
\(152\) | −0.638437 | − | 1.84464i | −0.0517841 | − | 0.149620i | ||||
\(153\) | −0.188335 | + | 0.412396i | −0.0152260 | + | 0.0333402i | ||||
\(154\) | −8.42255 | − | 16.6557i | −0.678709 | − | 1.34215i | ||||
\(155\) | −1.66048 | − | 5.65507i | −0.133373 | − | 0.454227i | ||||
\(156\) | 6.72689 | − | 1.29650i | 0.538582 | − | 0.103803i | ||||
\(157\) | 1.42059 | + | 5.85576i | 0.113376 | + | 0.467340i | 0.999988 | + | 0.00482796i | \(0.00153679\pi\) |
−0.886613 | + | 0.462512i | \(0.846948\pi\) | |||||||
\(158\) | −3.98609 | − | 2.83848i | −0.317116 | − | 0.225818i | ||||
\(159\) | −5.17511 | − | 4.06975i | −0.410413 | − | 0.322753i | ||||
\(160\) | 6.37710 | 0.504154 | ||||||||
\(161\) | 2.39804 | + | 12.4599i | 0.188992 | + | 0.981979i | ||||
\(162\) | −2.22075 | −0.174479 | ||||||||
\(163\) | −13.1335 | − | 10.3283i | −1.02870 | − | 0.808976i | −0.0468978 | − | 0.998900i | \(-0.514934\pi\) |
−0.981799 | + | 0.189924i | \(0.939176\pi\) | |||||||
\(164\) | 15.6060 | + | 11.1130i | 1.21862 | + | 0.867776i | ||||
\(165\) | 0.686669 | + | 2.83049i | 0.0534571 | + | 0.220353i | ||||
\(166\) | −7.76959 | + | 1.49747i | −0.603037 | + | 0.116226i | ||||
\(167\) | 0.671082 | + | 2.28550i | 0.0519299 | + | 0.176857i | 0.981374 | − | 0.192105i | \(-0.0615314\pi\) |
−0.929444 | + | 0.368962i | \(0.879713\pi\) | |||||||
\(168\) | 2.99561 | − | 4.58216i | 0.231116 | − | 0.353521i | ||||
\(169\) | 3.13209 | − | 6.85833i | 0.240930 | − | 0.527564i | ||||
\(170\) | 0.301930 | + | 0.872370i | 0.0231570 | + | 0.0669077i | ||||
\(171\) | −0.838510 | − | 0.432282i | −0.0641225 | − | 0.0330574i | ||||
\(172\) | −11.5960 | − | 14.7455i | −0.884187 | − | 1.12434i | ||||
\(173\) | −4.08394 | + | 10.2012i | −0.310496 | + | 0.775581i | 0.688248 | + | 0.725476i | \(0.258380\pi\) |
−0.998744 | + | 0.0501059i | \(0.984044\pi\) | |||||||
\(174\) | 1.35654 | + | 2.11082i | 0.102839 | + | 0.160021i | ||||
\(175\) | 7.27115 | − | 8.26008i | 0.549647 | − | 0.624403i | ||||
\(176\) | 3.66503 | + | 1.67376i | 0.276262 | + | 0.126165i | ||||
\(177\) | −0.317641 | + | 0.163756i | −0.0238754 | + | 0.0123086i | ||||
\(178\) | −27.7512 | − | 26.4607i | −2.08004 | − | 1.98331i | ||||
\(179\) | −0.462537 | + | 1.33641i | −0.0345716 | + | 0.0998881i | −0.960966 | − | 0.276667i | \(-0.910770\pi\) |
0.926394 | + | 0.376555i | \(0.122891\pi\) | |||||||
\(180\) | −1.94547 | + | 1.85500i | −0.145007 | + | 0.138264i | ||||
\(181\) | −5.70271 | − | 12.4872i | −0.423879 | − | 0.928165i | −0.994281 | − | 0.106799i | \(-0.965940\pi\) |
0.570402 | − | 0.821366i | \(-0.306788\pi\) | |||||||
\(182\) | 5.00306 | + | 12.7856i | 0.370851 | + | 0.947732i | ||||
\(183\) | − | 2.83410i | − | 0.209503i | ||||||
\(184\) | 7.54838 | + | 6.44161i | 0.556474 | + | 0.474882i | ||||
\(185\) | 7.30663 | − | 4.21848i | 0.537194 | − | 0.310149i | ||||
\(186\) | 13.2525 | − | 5.30548i | 0.971717 | − | 0.389017i | ||||
\(187\) | −0.136895 | + | 1.43363i | −0.0100107 | + | 0.104837i | ||||
\(188\) | 9.60842 | − | 32.7233i | 0.700766 | − | 2.38659i | ||||
\(189\) | −0.480402 | − | 2.60177i | −0.0349441 | − | 0.189251i | ||||
\(190\) | −1.84310 | + | 0.541183i | −0.133713 | + | 0.0392616i | ||||
\(191\) | 0.629705 | + | 1.22146i | 0.0455639 | + | 0.0883816i | 0.910518 | − | 0.413469i | \(-0.135683\pi\) |
−0.864954 | + | 0.501851i | \(0.832653\pi\) | |||||||
\(192\) | 1.22706 | + | 12.8503i | 0.0885551 | + | 0.927391i | ||||
\(193\) | 3.79782 | + | 0.731970i | 0.273373 | + | 0.0526883i | 0.324095 | − | 0.946024i | \(-0.394940\pi\) |
−0.0507222 | + | 0.998713i | \(0.516152\pi\) | |||||||
\(194\) | 0.210525 | + | 4.41946i | 0.0151148 | + | 0.317299i | ||||
\(195\) | −0.304916 | − | 2.12074i | −0.0218355 | − | 0.151869i | ||||
\(196\) | 18.9306 | + | 7.92404i | 1.35219 | + | 0.566003i | ||||
\(197\) | −2.97766 | + | 1.91363i | −0.212149 | + | 0.136340i | −0.642401 | − | 0.766369i | \(-0.722061\pi\) |
0.430251 | + | 0.902709i | \(0.358425\pi\) | |||||||
\(198\) | −6.66640 | + | 2.30726i | −0.473760 | + | 0.163970i | ||||
\(199\) | −4.92186 | + | 0.469981i | −0.348902 | + | 0.0333161i | −0.268036 | − | 0.963409i | \(-0.586375\pi\) |
−0.0808658 | + | 0.996725i | \(0.525769\pi\) | |||||||
\(200\) | 0.409502 | − | 8.59650i | 0.0289561 | − | 0.607864i | ||||
\(201\) | −2.78888 | + | 11.4959i | −0.196712 | + | 0.810859i | ||||
\(202\) | 21.5064 | − | 18.6354i | 1.51318 | − | 1.31118i | ||||
\(203\) | −2.17952 | + | 2.04590i | −0.152972 | + | 0.143594i | ||||
\(204\) | −1.20904 | + | 0.552148i | −0.0846494 | + | 0.0386581i | ||||
\(205\) | 3.70386 | − | 4.70984i | 0.258689 | − | 0.328950i | ||||
\(206\) | 13.7112 | + | 23.7485i | 0.955304 | + | 1.65463i | ||||
\(207\) | 4.78854 | − | 0.264344i | 0.332827 | − | 0.0183732i | ||||
\(208\) | −2.56681 | − | 1.48195i | −0.177976 | − | 0.102754i | ||||
\(209\) | −2.96622 | − | 0.426477i | −0.205177 | − | 0.0295001i | ||||
\(210\) | −4.36380 | − | 3.15911i | −0.301131 | − | 0.218000i | ||||
\(211\) | −10.0098 | − | 2.93915i | −0.689104 | − | 0.202339i | −0.0816109 | − | 0.996664i | \(-0.526006\pi\) |
−0.607493 | + | 0.794325i | \(0.707825\pi\) | |||||||
\(212\) | −3.65285 | − | 18.9528i | −0.250879 | − | 1.30168i | ||||
\(213\) | −4.93159 | + | 5.17210i | −0.337907 | + | 0.354386i | ||||
\(214\) | −27.2156 | − | 1.29644i | −1.86042 | − | 0.0886228i | ||||
\(215\) | −4.77898 | + | 3.40309i | −0.325924 | + | 0.232089i | ||||
\(216\) | −1.56376 | − | 1.35501i | −0.106401 | − | 0.0921967i | ||||
\(217\) | 9.08258 | + | 14.3785i | 0.616566 | + | 0.976076i | ||||
\(218\) | 2.14830 | − | 0.308879i | 0.145501 | − | 0.0209199i | ||||
\(219\) | 6.04890 | + | 2.42162i | 0.408747 | + | 0.163638i | ||||
\(220\) | −3.91277 | + | 7.58972i | −0.263799 | + | 0.511699i | ||||
\(221\) | 0.200492 | − | 1.04025i | 0.0134865 | − | 0.0699747i | ||||
\(222\) | 11.8532 | + | 16.6455i | 0.795537 | + | 1.11717i | ||||
\(223\) | −6.86292 | + | 10.6789i | −0.459575 | + | 0.715113i | −0.991274 | − | 0.131821i | \(-0.957918\pi\) |
0.531698 | + | 0.846934i | \(0.321554\pi\) | |||||||
\(224\) | −17.6960 | + | 5.04621i | −1.18237 | + | 0.337164i | ||||
\(225\) | −2.72376 | − | 3.14339i | −0.181584 | − | 0.209559i | ||||
\(226\) | 18.4981 | + | 19.4003i | 1.23048 | + | 1.29049i | ||||
\(227\) | −13.3473 | + | 18.7437i | −0.885894 | + | 1.24406i | 0.0829898 | + | 0.996550i | \(0.473553\pi\) |
−0.968884 | + | 0.247514i | \(0.920386\pi\) | |||||||
\(228\) | −1.02792 | − | 2.56763i | −0.0680759 | − | 0.170045i | ||||
\(229\) | 5.46176 | − | 9.46005i | 0.360923 | − | 0.625137i | −0.627190 | − | 0.778866i | \(-0.715795\pi\) |
0.988113 | + | 0.153729i | \(0.0491283\pi\) | |||||||
\(230\) | 6.68527 | − | 7.11812i | 0.440814 | − | 0.469355i | ||||
\(231\) | −4.14523 | − | 7.31105i | −0.272736 | − | 0.481032i | ||||
\(232\) | −0.332711 | + | 2.31406i | −0.0218436 | + | 0.151925i | ||||
\(233\) | −25.0482 | − | 2.39181i | −1.64096 | − | 0.156693i | −0.766653 | − | 0.642062i | \(-0.778079\pi\) |
−0.874309 | + | 0.485369i | \(0.838685\pi\) | |||||||
\(234\) | 5.04303 | − | 1.22343i | 0.329673 | − | 0.0799778i | ||||
\(235\) | −10.0796 | − | 3.48858i | −0.657519 | − | 0.227570i | ||||
\(236\) | −1.01818 | − | 0.247007i | −0.0662776 | − | 0.0160788i | ||||
\(237\) | −1.85371 | − | 1.19131i | −0.120412 | − | 0.0773838i | ||||
\(238\) | −1.52814 | − | 2.18185i | −0.0990548 | − | 0.141428i | ||||
\(239\) | 14.7153 | − | 16.9824i | 0.951857 | − | 1.09850i | −0.0431876 | − | 0.999067i | \(-0.513751\pi\) |
0.995044 | − | 0.0994340i | \(-0.0317032\pi\) | |||||||
\(240\) | 1.16167 | − | 0.0553370i | 0.0749852 | − | 0.00357199i | ||||
\(241\) | −16.5687 | + | 13.0298i | −1.06728 | + | 0.839322i | −0.987520 | − | 0.157492i | \(-0.949659\pi\) |
−0.0797639 | + | 0.996814i | \(0.525417\pi\) | |||||||
\(242\) | 1.58743 | − | 1.24837i | 0.102044 | − | 0.0802483i | ||||
\(243\) | −0.998867 | + | 0.0475819i | −0.0640774 | + | 0.00305238i | ||||
\(244\) | 5.44113 | − | 6.27939i | 0.348332 | − | 0.401997i | ||||
\(245\) | 2.75713 | − | 5.79590i | 0.176147 | − | 0.370287i | ||||
\(246\) | 12.2085 | + | 7.84590i | 0.778383 | + | 0.500236i | ||||
\(247\) | 2.14229 | + | 0.519714i | 0.136311 | + | 0.0330686i | ||||
\(248\) | 12.5690 | + | 4.35018i | 0.798134 | + | 0.276237i | ||||
\(249\) | −3.46258 | + | 0.840014i | −0.219432 | + | 0.0532337i | ||||
\(250\) | −18.5657 | − | 1.77281i | −1.17420 | − | 0.112122i | ||||
\(251\) | −0.00893465 | + | 0.0621418i | −0.000563950 | + | 0.00392236i | −0.990101 | − | 0.140353i | \(-0.955176\pi\) |
0.989538 | + | 0.144276i | \(0.0460852\pi\) | |||||||
\(252\) | 3.93068 | − | 6.68695i | 0.247610 | − | 0.421238i | ||||
\(253\) | 14.0999 | − | 5.76861i | 0.886454 | − | 0.362669i | ||||
\(254\) | −14.3068 | + | 24.7801i | −0.897687 | + | 1.55484i | ||||
\(255\) | 0.154496 | + | 0.385912i | 0.00967492 | + | 0.0241668i | ||||
\(256\) | −4.03372 | + | 5.66457i | −0.252107 | + | 0.354035i | ||||
\(257\) | −20.3066 | − | 21.2969i | −1.26669 | − | 1.32847i | −0.920721 | − | 0.390220i | \(-0.872399\pi\) |
−0.345969 | − | 0.938246i | \(-0.612450\pi\) | |||||||
\(258\) | −9.30533 | − | 10.7389i | −0.579325 | − | 0.668576i | ||||
\(259\) | −16.9373 | + | 17.4877i | −1.05243 | + | 1.08664i | ||||
\(260\) | 3.39597 | − | 5.28423i | 0.210609 | − | 0.327714i | ||||
\(261\) | 0.655382 | + | 0.920355i | 0.0405671 | + | 0.0569685i | ||||
\(262\) | 1.11144 | − | 5.76672i | 0.0686652 | − | 0.356269i | ||||
\(263\) | 8.65062 | − | 16.7799i | 0.533420 | − | 1.03469i | −0.456050 | − | 0.889954i | \(-0.650736\pi\) |
0.989470 | − | 0.144736i | \(-0.0462334\pi\) | |||||||
\(264\) | −6.10201 | − | 2.44287i | −0.375552 | − | 0.150349i | ||||
\(265\) | −5.97510 | + | 0.859090i | −0.367048 | + | 0.0527735i | ||||
\(266\) | 4.68624 | − | 2.96019i | 0.287332 | − | 0.181501i | ||||
\(267\) | −13.0491 | − | 11.3071i | −0.798591 | − | 0.691983i | ||||
\(268\) | −28.2500 | + | 20.1167i | −1.72564 | + | 1.22882i | ||||
\(269\) | 11.5593 | + | 0.550638i | 0.704784 | + | 0.0335730i | 0.396915 | − | 0.917856i | \(-0.370081\pi\) |
0.307870 | + | 0.951429i | \(0.400384\pi\) | |||||||
\(270\) | −1.40514 | + | 1.47367i | −0.0855140 | + | 0.0896845i | ||||
\(271\) | 4.99405 | + | 25.9116i | 0.303367 | + | 1.57402i | 0.738881 | + | 0.673836i | \(0.235354\pi\) |
−0.435514 | + | 0.900182i | \(0.643433\pi\) | |||||||
\(272\) | 0.551751 | + | 0.162009i | 0.0334548 | + | 0.00982322i | ||||
\(273\) | 2.52426 | + | 5.64361i | 0.152775 | + | 0.341567i | ||||
\(274\) | −24.9028 | − | 3.58048i | −1.50443 | − | 0.216305i | ||||
\(275\) | −11.4422 | − | 6.60616i | −0.689991 | − | 0.398367i | ||||
\(276\) | 11.1173 | + | 8.60773i | 0.669182 | + | 0.518124i | ||||
\(277\) | 5.18958 | + | 8.98861i | 0.311811 | + | 0.540073i | 0.978755 | − | 0.205035i | \(-0.0657310\pi\) |
−0.666943 | + | 0.745109i | \(0.732398\pi\) | |||||||
\(278\) | −5.52497 | + | 7.02557i | −0.331366 | + | 0.421366i | ||||
\(279\) | 5.84712 | − | 2.67029i | 0.350058 | − | 0.159866i | ||||
\(280\) | −1.14526 | − | 4.88713i | −0.0684422 | − | 0.292062i | ||||
\(281\) | 15.2308 | − | 13.1976i | 0.908593 | − | 0.787301i | −0.0690407 | − | 0.997614i | \(-0.521994\pi\) |
0.977634 | + | 0.210313i | \(0.0674484\pi\) | |||||||
\(282\) | 6.09057 | − | 25.1057i | 0.362688 | − | 1.49502i | ||||
\(283\) | −0.375361 | + | 7.87979i | −0.0223129 | + | 0.468405i | 0.959866 | + | 0.280458i | \(0.0904863\pi\) |
−0.982179 | + | 0.187947i | \(0.939817\pi\) | |||||||
\(284\) | −20.8565 | + | 1.99156i | −1.23761 | + | 0.118177i | ||||
\(285\) | −0.817409 | + | 0.282908i | −0.0484191 | + | 0.0167580i | ||||
\(286\) | 13.8674 | − | 8.91204i | 0.819997 | − | 0.526980i | ||||
\(287\) | −6.55106 | + | 16.0004i | −0.386697 | + | 0.944471i | ||||
\(288\) | 0.989813 | + | 6.88430i | 0.0583253 | + | 0.405661i | ||||
\(289\) | −0.799113 | − | 16.7754i | −0.0470066 | − | 0.986790i | ||||
\(290\) | 2.25904 | + | 0.435394i | 0.132655 | + | 0.0255672i | ||||
\(291\) | 0.189383 | + | 1.98331i | 0.0111018 | + | 0.116264i | ||||
\(292\) | 8.75310 | + | 16.9786i | 0.512236 | + | 0.993600i | ||||
\(293\) | −9.92861 | + | 2.91530i | −0.580036 | + | 0.170314i | −0.558572 | − | 0.829456i | \(-0.688651\pi\) |
−0.0214634 | + | 0.999770i | \(0.506833\pi\) | |||||||
\(294\) | 14.6091 | + | 5.31324i | 0.852018 | + | 0.309875i | ||||
\(295\) | −0.0923152 | + | 0.314397i | −0.00537480 | + | 0.0183049i | ||||
\(296\) | −1.80984 | + | 18.9535i | −0.105195 | + | 1.10165i | ||||
\(297\) | −2.94903 | + | 1.18061i | −0.171120 | + | 0.0685061i | ||||
\(298\) | −26.0501 | + | 15.0400i | −1.50904 | + | 0.871245i | ||||
\(299\) | −10.7285 | + | 3.23832i | −0.620445 | + | 0.187277i | ||||
\(300\) | − | 12.1940i | − | 0.704020i | ||||||
\(301\) | 10.5685 | − | 13.2250i | 0.609156 | − | 0.762274i | ||||
\(302\) | 7.40743 | + | 16.2200i | 0.426250 | + | 0.933357i | ||||
\(303\) | 9.27402 | − | 8.84276i | 0.532778 | − | 0.508003i | ||||
\(304\) | −0.391361 | + | 1.13076i | −0.0224461 | + | 0.0648538i | ||||
\(305\) | −1.88068 | − | 1.79322i | −0.107687 | − | 0.102680i | ||||
\(306\) | −0.894890 | + | 0.461348i | −0.0511575 | + | 0.0263735i | ||||
\(307\) | 20.8224 | + | 9.50927i | 1.18840 | + | 0.542723i | 0.908734 | − | 0.417375i | \(-0.137050\pi\) |
0.279663 | + | 0.960098i | \(0.409777\pi\) | |||||||
\(308\) | 4.85192 | − | 24.1571i | 0.276464 | − | 1.37648i | ||||
\(309\) | 6.67596 | + | 10.3880i | 0.379782 | + | 0.590953i | ||||
\(310\) | 4.86458 | − | 12.1511i | 0.276289 | − | 0.690138i | ||||
\(311\) | 10.3304 | + | 13.1361i | 0.585782 | + | 0.744882i | 0.985110 | − | 0.171926i | \(-0.0549990\pi\) |
−0.399328 | + | 0.916808i | \(0.630757\pi\) | |||||||
\(312\) | 4.29758 | + | 2.21556i | 0.243303 | + | 0.125431i | ||||
\(313\) | −0.290901 | − | 0.840503i | −0.0164427 | − | 0.0475080i | 0.936481 | − | 0.350719i | \(-0.114063\pi\) |
−0.952924 | + | 0.303211i | \(0.901941\pi\) | |||||||
\(314\) | −5.55883 | + | 12.1721i | −0.313703 | + | 0.686913i | ||||
\(315\) | −2.03047 | − | 1.32743i | −0.114404 | − | 0.0747923i | ||||
\(316\) | −1.82003 | − | 6.19844i | −0.102384 | − | 0.348690i | ||||
\(317\) | 9.32471 | − | 1.79719i | 0.523728 | − | 0.100940i | 0.0794667 | − | 0.996838i | \(-0.474678\pi\) |
0.444261 | + | 0.895897i | \(0.353466\pi\) | |||||||
\(318\) | −3.44696 | − | 14.2086i | −0.193296 | − | 0.796777i | ||||
\(319\) | 2.92358 | + | 2.08187i | 0.163689 | + | 0.116562i | ||||
\(320\) | 9.30372 | + | 7.31653i | 0.520094 | + | 0.409006i | ||||
\(321\) | −12.2690 | −0.684791 | ||||||||
\(322\) | −12.9186 | + | 25.0424i | −0.719926 | + | 1.39556i | ||||
\(323\) | −0.427696 | −0.0237976 | ||||||||
\(324\) | −2.30450 | − | 1.81228i | −0.128028 | − | 0.100682i | ||||
\(325\) | 7.91701 | + | 5.63768i | 0.439157 | + | 0.312722i | ||||
\(326\) | −8.74777 | − | 36.0588i | −0.484494 | − | 1.99711i | ||||
\(327\) | 0.959663 | − | 0.184960i | 0.0530695 | − | 0.0102283i | ||||
\(328\) | 3.80947 | + | 12.9739i | 0.210343 | + | 0.716362i | ||||
\(329\) | 30.7307 | + | 1.70458i | 1.69424 | + | 0.0939766i | ||||
\(330\) | −2.68696 | + | 5.88363i | −0.147912 | + | 0.323883i | ||||
\(331\) | 6.21746 | + | 17.9642i | 0.341743 | + | 0.987400i | 0.976655 | + | 0.214816i | \(0.0689152\pi\) |
−0.634912 | + | 0.772585i | \(0.718964\pi\) | |||||||
\(332\) | −9.28463 | − | 4.78656i | −0.509560 | − | 0.262697i | ||||
\(333\) | 5.68809 | + | 7.23299i | 0.311705 | + | 0.396365i | ||||
\(334\) | −1.96602 | + | 4.91087i | −0.107576 | + | 0.268711i | ||||
\(335\) | 5.86395 | + | 9.12449i | 0.320382 | + | 0.498524i | ||||
\(336\) | −3.17976 | + | 1.07278i | −0.173470 | + | 0.0585251i | ||||
\(337\) | −11.1607 | − | 5.09690i | −0.607960 | − | 0.277646i | 0.0875527 | − | 0.996160i | \(-0.472095\pi\) |
−0.695513 | + | 0.718514i | \(0.744823\pi\) | |||||||
\(338\) | 14.8824 | − | 7.67243i | 0.809498 | − | 0.417325i | ||||
\(339\) | 8.73590 | + | 8.32967i | 0.474469 | + | 0.452405i | ||||
\(340\) | −0.398595 | + | 1.15166i | −0.0216168 | + | 0.0624578i | ||||
\(341\) | 14.7779 | − | 14.0907i | 0.800271 | − | 0.763057i | ||||
\(342\) | −0.870300 | − | 1.90569i | −0.0470604 | − | 0.103048i | ||||
\(343\) | −3.06455 | + | 18.2650i | −0.165470 | + | 0.986215i | ||||
\(344\) | − | 13.2396i | − | 0.713834i | ||||||
\(345\) | 2.85444 | − | 3.34488i | 0.153678 | − | 0.180082i | ||||
\(346\) | −21.1330 | + | 12.2011i | −1.13612 | + | 0.655937i | ||||
\(347\) | −8.69229 | + | 3.47987i | −0.466627 | + | 0.186809i | −0.593047 | − | 0.805168i | \(-0.702075\pi\) |
0.126421 | + | 0.991977i | \(0.459651\pi\) | |||||||
\(348\) | −0.314868 | + | 3.29745i | −0.0168787 | + | 0.176762i | ||||
\(349\) | −9.34616 | + | 31.8301i | −0.500288 | + | 1.70383i | 0.191298 | + | 0.981532i | \(0.438730\pi\) |
−0.691587 | + | 0.722294i | \(0.743088\pi\) | |||||||
\(350\) | 24.0320 | − | 4.43737i | 1.28456 | − | 0.237187i | ||||
\(351\) | 2.24208 | − | 0.658334i | 0.119673 | − | 0.0351393i | ||||
\(352\) | 10.1238 | + | 19.6374i | 0.539599 | + | 1.04668i | ||||
\(353\) | −0.650873 | − | 6.81625i | −0.0346424 | − | 0.362792i | −0.996127 | − | 0.0879315i | \(-0.971974\pi\) |
0.961484 | − | 0.274861i | \(-0.0886317\pi\) | |||||||
\(354\) | −0.779284 | − | 0.150195i | −0.0414185 | − | 0.00798276i | ||||
\(355\) | 0.311781 | + | 6.54510i | 0.0165476 | + | 0.347378i | ||||
\(356\) | −7.20406 | − | 50.1053i | −0.381814 | − | 2.65558i | ||||
\(357\) | −0.734089 | − | 0.948628i | −0.0388521 | − | 0.0502067i | ||||
\(358\) | −2.64201 | + | 1.69792i | −0.139635 | + | 0.0897378i | ||||
\(359\) | 0.543217 | − | 0.188009i | 0.0286699 | − | 0.00992275i | −0.312695 | − | 0.949853i | \(-0.601232\pi\) |
0.341365 | + | 0.939931i | \(0.389111\pi\) | |||||||
\(360\) | −1.88861 | + | 0.180341i | −0.0995386 | + | 0.00950479i | ||||
\(361\) | −0.861710 | + | 18.0895i | −0.0453532 | + | 0.952080i | ||||
\(362\) | 7.18732 | − | 29.6265i | 0.377757 | − | 1.55714i | ||||
\(363\) | 0.687261 | − | 0.595515i | 0.0360718 | − | 0.0312564i | ||||
\(364\) | −5.24216 | + | 17.3506i | −0.274764 | + | 0.909419i | ||||
\(365\) | 5.43429 | − | 2.48176i | 0.284444 | − | 0.129901i | ||||
\(366\) | 3.89059 | − | 4.94728i | 0.203364 | − | 0.258599i | ||||
\(367\) | 0.511206 | + | 0.885435i | 0.0266847 | + | 0.0462193i | 0.879059 | − | 0.476712i | \(-0.158172\pi\) |
−0.852375 | + | 0.522932i | \(0.824838\pi\) | |||||||
\(368\) | −1.19626 | − | 5.96420i | −0.0623595 | − | 0.310906i | ||||
\(369\) | 5.65933 | + | 3.26741i | 0.294613 | + | 0.170095i | ||||
\(370\) | 18.5457 | + | 2.66647i | 0.964145 | + | 0.138623i | ||||
\(371\) | 15.9007 | − | 7.11202i | 0.825523 | − | 0.369238i | ||||
\(372\) | 18.0819 | + | 5.30931i | 0.937501 | + | 0.275275i | ||||
\(373\) | −5.99038 | − | 31.0811i | −0.310170 | − | 1.60932i | −0.717854 | − | 0.696193i | \(-0.754876\pi\) |
0.407684 | − | 0.913123i | \(-0.366336\pi\) | |||||||
\(374\) | −2.20702 | + | 2.31465i | −0.114122 | + | 0.119688i | ||||
\(375\) | −8.38862 | − | 0.399599i | −0.433186 | − | 0.0206352i | ||||
\(376\) | 19.6072 | − | 13.9622i | 1.01116 | − | 0.720046i | ||||
\(377\) | −1.99531 | − | 1.72895i | −0.102764 | − | 0.0890453i | ||||
\(378\) | 2.73305 | − | 5.20121i | 0.140573 | − | 0.267521i | ||||
\(379\) | 35.7088 | − | 5.13415i | 1.83424 | − | 0.263723i | 0.863583 | − | 0.504206i | \(-0.168215\pi\) |
0.970653 | + | 0.240483i | \(0.0773058\pi\) | |||||||
\(380\) | −2.35425 | − | 0.942499i | −0.120770 | − | 0.0483492i | ||||
\(381\) | −5.90408 | + | 11.4523i | −0.302475 | + | 0.586720i | ||||
\(382\) | −0.577558 | + | 2.99666i | −0.0295505 | + | 0.153322i | ||||
\(383\) | −14.8382 | − | 20.8374i | −0.758198 | − | 1.06474i | −0.995635 | − | 0.0933369i | \(-0.970247\pi\) |
0.237437 | − | 0.971403i | \(-0.423693\pi\) | |||||||
\(384\) | −7.97821 | + | 12.4143i | −0.407136 | + | 0.633516i | ||||
\(385\) | −7.47435 | − | 1.87520i | −0.380928 | − | 0.0955691i | ||||
\(386\) | 5.62475 | + | 6.49131i | 0.286292 | + | 0.330399i | ||||
\(387\) | −4.41552 | − | 4.63086i | −0.224453 | − | 0.235400i | ||||
\(388\) | −3.38811 | + | 4.75793i | −0.172005 | + | 0.241547i | ||||
\(389\) | 9.48975 | + | 23.7043i | 0.481150 | + | 1.20185i | 0.948215 | + | 0.317630i | \(0.102887\pi\) |
−0.467065 | + | 0.884223i | \(0.654689\pi\) | |||||||
\(390\) | 2.37903 | − | 4.12060i | 0.120467 | − | 0.208655i | ||||
\(391\) | 1.87471 | − | 1.10131i | 0.0948081 | − | 0.0556958i | ||||
\(392\) | 7.04520 | + | 12.6552i | 0.355836 | + | 0.639185i | ||||
\(393\) | 0.376356 | − | 2.61761i | 0.0189847 | − | 0.132041i | ||||
\(394\) | −7.82487 | − | 0.747185i | −0.394211 | − | 0.0376426i | ||||
\(395\) | −1.96344 | + | 0.476326i | −0.0987915 | + | 0.0239666i | ||||
\(396\) | −8.80068 | − | 3.04595i | −0.442251 | − | 0.153065i | ||||
\(397\) | −18.4380 | − | 4.47302i | −0.925379 | − | 0.224494i | −0.255366 | − | 0.966844i | \(-0.582196\pi\) |
−0.670012 | + | 0.742350i | \(0.733711\pi\) | |||||||
\(398\) | −9.23693 | − | 5.93621i | −0.463005 | − | 0.297555i | ||||
\(399\) | 2.04439 | − | 1.43187i | 0.102347 | − | 0.0716830i | ||||
\(400\) | −3.45480 | + | 3.98705i | −0.172740 | + | 0.199352i | ||||
\(401\) | −9.18945 | + | 0.437747i | −0.458899 | + | 0.0218601i | −0.275759 | − | 0.961227i | \(-0.588929\pi\) |
−0.183140 | + | 0.983087i | \(0.558626\pi\) | |||||||
\(402\) | −20.6497 | + | 16.2391i | −1.02991 | + | 0.809931i | ||||
\(403\) | −11.8069 | + | 9.28508i | −0.588145 | + | 0.462523i | ||||
\(404\) | 37.5251 | − | 1.78754i | 1.86694 | − | 0.0889335i | ||||
\(405\) | −0.600440 | + | 0.692944i | −0.0298361 | + | 0.0344327i | ||||
\(406\) | −6.61321 | + | 0.579391i | −0.328208 | + | 0.0287547i | ||||
\(407\) | 24.5896 | + | 15.8028i | 1.21886 | + | 0.783315i | ||||
\(408\) | −0.911641 | − | 0.221162i | −0.0451330 | − | 0.0109491i | ||||
\(409\) | 36.4121 | + | 12.6023i | 1.80046 | + | 0.623145i | 0.999708 | + | 0.0241491i | \(0.00768765\pi\) |
0.800752 | + | 0.598996i | \(0.204434\pi\) | |||||||
\(410\) | 12.9311 | − | 3.13706i | 0.638623 | − | 0.154928i | ||||
\(411\) | −11.2777 | − | 1.07689i | −0.556288 | − | 0.0531190i | ||||
\(412\) | −5.15205 | + | 35.8333i | −0.253823 | + | 1.76538i | ||||
\(413\) | 0.00738600 | − | 0.945478i | 0.000363441 | − | 0.0465239i | ||||
\(414\) | 8.72190 | + | 6.11215i | 0.428658 | + | 0.300396i | ||||
\(415\) | −1.63346 | + | 2.82924i | −0.0801834 | + | 0.138882i | ||||
\(416\) | −6.04033 | − | 15.0880i | −0.296152 | − | 0.739751i | ||||
\(417\) | −2.33454 | + | 3.27840i | −0.114323 | + | 0.160544i | ||||
\(418\) | −4.59245 | − | 4.81643i | −0.224624 | − | 0.235579i | ||||
\(419\) | −2.49072 | − | 2.87445i | −0.121680 | − | 0.140426i | 0.691641 | − | 0.722241i | \(-0.256888\pi\) |
−0.813321 | + | 0.581815i | \(0.802343\pi\) | |||||||
\(420\) | −1.95033 | − | 6.83940i | −0.0951662 | − | 0.333729i | ||||
\(421\) | 15.3649 | − | 23.9082i | 0.748837 | − | 1.16521i | −0.232440 | − | 0.972611i | \(-0.574671\pi\) |
0.981277 | − | 0.192602i | \(-0.0616928\pi\) | |||||||
\(422\) | −13.4386 | − | 18.8719i | −0.654182 | − | 0.918670i | ||||
\(423\) | 2.20155 | − | 11.4227i | 0.107043 | − | 0.555392i | ||||
\(424\) | 6.24226 | − | 12.1083i | 0.303151 | − | 0.588031i | ||||
\(425\) | −1.75061 | − | 0.700837i | −0.0849169 | − | 0.0339956i | ||||
\(426\) | −15.7089 | + | 2.25859i | −0.761097 | + | 0.109429i | ||||
\(427\) | 6.63773 | + | 3.48789i | 0.321222 | + | 0.168791i | ||||
\(428\) | −27.1840 | − | 23.5551i | −1.31399 | − | 1.13858i | ||||
\(429\) | 6.04644 | − | 4.30565i | 0.291925 | − | 0.207879i | ||||
\(430\) | −13.0140 | − | 0.619934i | −0.627591 | − | 0.0298959i | ||||
\(431\) | 20.7189 | − | 21.7293i | 0.997993 | − | 1.04666i | −0.000917910 | − | 1.00000i | \(-0.500292\pi\) |
0.998911 | − | 0.0466650i | \(-0.0148593\pi\) | |||||||
\(432\) | 0.240045 | + | 1.24547i | 0.0115491 | + | 0.0599227i | ||||
\(433\) | 32.3121 | + | 9.48769i | 1.55282 | + | 0.455949i | 0.941942 | − | 0.335775i | \(-0.108998\pi\) |
0.610878 | + | 0.791724i | \(0.290816\pi\) | |||||||
\(434\) | −3.88367 | + | 37.5679i | −0.186422 | + | 1.80332i | ||||
\(435\) | 1.02542 | + | 0.147433i | 0.0491650 | + | 0.00706886i | ||||
\(436\) | 2.48139 | + | 1.43263i | 0.118837 | + | 0.0686105i | ||||
\(437\) | 2.10344 | + | 4.00559i | 0.100621 | + | 0.191613i | ||||
\(438\) | 7.23480 | + | 12.5310i | 0.345692 | + | 0.598756i | ||||
\(439\) | 22.1334 | − | 28.1449i | 1.05637 | − | 1.34328i | 0.119800 | − | 0.992798i | \(-0.461775\pi\) |
0.936569 | − | 0.350484i | \(-0.113983\pi\) | |||||||
\(440\) | −5.48199 | + | 2.50354i | −0.261344 | + | 0.119352i | ||||
\(441\) | 6.68482 | + | 2.07682i | 0.318325 | + | 0.0988961i | ||||
\(442\) | 1.77801 | − | 1.54066i | 0.0845715 | − | 0.0732817i | ||||
\(443\) | 7.41866 | − | 30.5801i | 0.352471 | − | 1.45291i | −0.469274 | − | 0.883052i | \(-0.655484\pi\) |
0.821746 | − | 0.569854i | \(-0.193000\pi\) | |||||||
\(444\) | −1.28361 | + | 26.9463i | −0.0609174 | + | 1.27881i | ||||
\(445\) | −15.7598 | + | 1.50488i | −0.747087 | + | 0.0713382i | ||||
\(446\) | −26.6399 | + | 9.22015i | −1.26143 | + | 0.436587i | ||||
\(447\) | −11.3948 | + | 7.32297i | −0.538954 | + | 0.346365i | ||||
\(448\) | −31.6068 | − | 12.9408i | −1.49328 | − | 0.611396i | ||||
\(449\) | −0.231480 | − | 1.60998i | −0.0109242 | − | 0.0759795i | 0.983630 | − | 0.180200i | \(-0.0576744\pi\) |
−0.994554 | + | 0.104220i | \(0.966765\pi\) | |||||||
\(450\) | −0.439503 | − | 9.22631i | −0.0207184 | − | 0.434932i | ||||
\(451\) | 20.3832 | + | 3.92855i | 0.959809 | + | 0.184988i | ||||
\(452\) | 3.36383 | + | 35.2276i | 0.158221 | + | 1.65697i | ||||
\(453\) | 3.67930 | + | 7.13685i | 0.172869 | + | 0.335319i | ||||
\(454\) | −49.0305 | + | 14.3966i | −2.30111 | + | 0.675668i | ||||
\(455\) | 5.34222 | + | 1.89582i | 0.250447 | + | 0.0888774i | ||||
\(456\) | 0.549943 | − | 1.87293i | 0.0257534 | − | 0.0877081i | ||||
\(457\) | 1.75635 | − | 18.3933i | 0.0821586 | − | 0.860403i | −0.856635 | − | 0.515923i | \(-0.827449\pi\) |
0.938794 | − | 0.344480i | \(-0.111945\pi\) | |||||||
\(458\) | 22.5207 | − | 9.01595i | 1.05233 | − | 0.421287i | ||||
\(459\) | −0.392626 | + | 0.226683i | −0.0183262 | + | 0.0105806i | ||||
\(460\) | 12.7462 | − | 1.93093i | 0.594297 | − | 0.0900303i | ||||
\(461\) | − | 4.31385i | − | 0.200916i | −0.994941 | − | 0.100458i | \(-0.967969\pi\) | ||
0.994941 | − | 0.100458i | \(-0.0320308\pi\) | |||||||
\(462\) | 2.80042 | − | 18.4529i | 0.130287 | − | 0.858504i | ||||
\(463\) | −12.9061 | − | 28.2605i | −0.599799 | − | 1.31338i | −0.929336 | − | 0.369235i | \(-0.879620\pi\) |
0.329537 | − | 0.944143i | \(-0.393107\pi\) | |||||||
\(464\) | 1.03718 | − | 0.988953i | 0.0481501 | − | 0.0459110i | ||||
\(465\) | 1.92768 | − | 5.56966i | 0.0893939 | − | 0.258287i | ||||
\(466\) | −40.4414 | − | 38.5608i | −1.87341 | − | 1.78630i | ||||
\(467\) | 30.0314 | − | 15.4823i | 1.38969 | − | 0.716434i | 0.409095 | − | 0.912492i | \(-0.365844\pi\) |
0.980592 | + | 0.196058i | \(0.0628141\pi\) | |||||||
\(468\) | 6.23161 | + | 2.84588i | 0.288056 | + | 0.131551i | ||||
\(469\) | −23.4923 | − | 20.6797i | −1.08477 | − | 0.954898i | ||||
\(470\) | −12.8062 | − | 19.9268i | −0.590704 | − | 0.919154i | ||||
\(471\) | −2.23949 | + | 5.59398i | −0.103190 | + | 0.257757i | ||||
\(472\) | −0.457098 | − | 0.581248i | −0.0210396 | − | 0.0267541i | ||||
\(473\) | −18.0661 | − | 9.31370i | −0.830678 | − | 0.428244i | ||||
\(474\) | −1.60049 | − | 4.62432i | −0.0735130 | − | 0.212402i | ||||
\(475\) | 1.63001 | − | 3.56922i | 0.0747898 | − | 0.163767i | ||||
\(476\) | 0.194761 | − | 3.51120i | 0.00892684 | − | 0.160935i | ||||
\(477\) | −1.85483 | − | 6.31699i | −0.0849270 | − | 0.289235i | ||||
\(478\) | 49.0006 | − | 9.44409i | 2.24124 | − | 0.431963i | ||||
\(479\) | −0.279045 | − | 1.15024i | −0.0127499 | − | 0.0525557i | 0.965081 | − | 0.261951i | \(-0.0843657\pi\) |
−0.977831 | + | 0.209395i | \(0.932851\pi\) | |||||||
\(480\) | 5.19464 | + | 3.69908i | 0.237102 | + | 0.168839i | ||||
\(481\) | −16.9016 | − | 13.2915i | −0.770646 | − | 0.606042i | ||||
\(482\) | −46.8098 | −2.13213 | ||||||||
\(483\) | −5.27407 | + | 11.5405i | −0.239979 | + | 0.525113i | ||||
\(484\) | 2.66605 | 0.121184 | ||||||||
\(485\) | 1.43593 | + | 1.12923i | 0.0652023 | + | 0.0512756i | ||||
\(486\) | −1.80897 | − | 1.28816i | −0.0820566 | − | 0.0584322i | ||||
\(487\) | 3.55404 | + | 14.6500i | 0.161049 | + | 0.663853i | 0.993893 | + | 0.110346i | \(0.0351959\pi\) |
−0.832844 | + | 0.553508i | \(0.813289\pi\) | |||||||
\(488\) | 5.75822 | − | 1.10981i | 0.260662 | − | 0.0502386i | ||||
\(489\) | −4.70724 | − | 16.0314i | −0.212869 | − | 0.724964i | ||||
\(490\) | 12.7694 | − | 6.33256i | 0.576863 | − | 0.286076i | ||||
\(491\) | −12.7724 | + | 27.9677i | −0.576412 | + | 1.26217i | 0.366901 | + | 0.930260i | \(0.380419\pi\) |
−0.943312 | + | 0.331906i | \(0.892308\pi\) | |||||||
\(492\) | 6.26610 | + | 18.1047i | 0.282497 | + | 0.816223i | ||||
\(493\) | 0.455295 | + | 0.234721i | 0.0205055 | + | 0.0105713i | ||||
\(494\) | 3.02619 | + | 3.84811i | 0.136155 | + | 0.173135i | ||||
\(495\) | −1.08250 | + | 2.70396i | −0.0486548 | + | 0.121534i | ||||
\(496\) | −4.40796 | − | 6.85893i | −0.197923 | − | 0.307975i | ||||
\(497\) | −6.04431 | − | 17.9155i | −0.271124 | − | 0.803619i | ||||
\(498\) | −7.19754 | − | 3.28700i | −0.322529 | − | 0.147294i | ||||
\(499\) | −0.364228 | + | 0.187772i | −0.0163051 | + | 0.00840585i | −0.466360 | − | 0.884595i | \(-0.654435\pi\) |
0.450055 | + | 0.893001i | \(0.351404\pi\) | |||||||
\(500\) | −17.8191 | − | 16.9905i | −0.796896 | − | 0.759839i | ||||
\(501\) | −0.779071 | + | 2.25098i | −0.0348063 | + | 0.100566i | ||||
\(502\) | −0.100903 | + | 0.0962113i | −0.00450354 | + | 0.00429412i | ||||
\(503\) | 7.41616 | + | 16.2391i | 0.330670 | + | 0.724067i | 0.999818 | − | 0.0190621i | \(-0.00606801\pi\) |
−0.669148 | + | 0.743129i | \(0.733341\pi\) | |||||||
\(504\) | 5.09807 | − | 1.99489i | 0.227086 | − | 0.0888596i | ||||
\(505\) | − | 11.7492i | − | 0.522834i | ||||||
\(506\) | 32.5322 | + | 9.28620i | 1.44623 | + | 0.412822i | ||||
\(507\) | 6.52955 | − | 3.76984i | 0.289988 | − | 0.167424i | ||||
\(508\) | −35.0685 | + | 14.0393i | −1.55591 | + | 0.622893i | ||||
\(509\) | 2.33345 | − | 24.4370i | 0.103428 | − | 1.08315i | −0.783546 | − | 0.621333i | \(-0.786591\pi\) |
0.886975 | − | 0.461818i | \(-0.152803\pi\) | |||||||
\(510\) | −0.260079 | + | 0.885749i | −0.0115165 | + | 0.0392216i | ||||
\(511\) | −13.1160 | + | 11.1869i | −0.580216 | + | 0.494877i | ||||
\(512\) | 13.5008 | − | 3.96420i | 0.596657 | − | 0.175194i | ||||
\(513\) | −0.432282 | − | 0.838510i | −0.0190857 | − | 0.0370211i | ||||
\(514\) | −6.21181 | − | 65.0530i | −0.273991 | − | 2.86936i | ||||
\(515\) | 11.1175 | + | 2.14271i | 0.489894 | + | 0.0944193i | ||||
\(516\) | −0.892586 | − | 18.7377i | −0.0392939 | − | 0.824881i | ||||
\(517\) | −5.25895 | − | 36.5768i | −0.231288 | − | 1.60865i | ||||
\(518\) | −53.5730 | + | 7.27596i | −2.35386 | + | 0.319687i | ||||
\(519\) | −9.24394 | + | 5.94072i | −0.405764 | + | 0.260769i | ||||
\(520\) | 4.18943 | − | 1.44998i | 0.183719 | − | 0.0635857i | ||||
\(521\) | −7.24929 | + | 0.692223i | −0.317597 | + | 0.0303268i | −0.252637 | − | 0.967561i | \(-0.581298\pi\) |
−0.0649597 | + | 0.997888i | \(0.520692\pi\) | |||||||
\(522\) | −0.119389 | + | 2.50629i | −0.00522553 | + | 0.109697i | ||||
\(523\) | −3.11984 | + | 12.8601i | −0.136421 | + | 0.562335i | 0.862038 | + | 0.506843i | \(0.169188\pi\) |
−0.998459 | + | 0.0554914i | \(0.982327\pi\) | |||||||
\(524\) | 5.85938 | − | 5.07718i | 0.255968 | − | 0.221798i | ||||
\(525\) | 10.7142 | − | 2.51078i | 0.467607 | − | 0.109580i | ||||
\(526\) | 38.1358 | − | 17.4160i | 1.66280 | − | 0.759375i | ||||
\(527\) | 1.80146 | − | 2.29074i | 0.0784728 | − | 0.0997863i | ||||
\(528\) | 2.01457 | + | 3.48934i | 0.0876729 | + | 0.151854i | ||||
\(529\) | −19.5343 | − | 12.1413i | −0.849318 | − | 0.527881i | ||||
\(530\) | −11.6096 | − | 6.70283i | −0.504291 | − | 0.291152i | ||||
\(531\) | −0.353731 | − | 0.0508588i | −0.0153506 | − | 0.00220708i | ||||
\(532\) | 7.27868 | + | 0.752452i | 0.315571 | + | 0.0326229i | ||||
\(533\) | −14.6516 | − | 4.30210i | −0.634631 | − | 0.186345i | ||||
\(534\) | −7.25673 | − | 37.6515i | −0.314029 | − | 1.62934i | ||||
\(535\) | −7.76300 | + | 8.14160i | −0.335624 | + | 0.351992i | ||||
\(536\) | −24.4491 | − | 1.16465i | −1.05604 | − | 0.0503053i | ||||
\(537\) | −1.15197 | + | 0.820312i | −0.0497110 | + | 0.0353991i | ||||
\(538\) | 19.4224 | + | 16.8296i | 0.837358 | + | 0.725575i | ||||
\(539\) | 22.2247 | − | 0.710906i | 0.957284 | − | 0.0306209i | ||||
\(540\) | −2.66074 | + | 0.382557i | −0.114500 | + | 0.0164626i | ||||
\(541\) | 14.9798 | + | 5.99702i | 0.644033 | + | 0.257832i | 0.670605 | − | 0.741815i | \(-0.266035\pi\) |
−0.0265714 | + | 0.999647i | \(0.508459\pi\) | |||||||
\(542\) | −26.8531 | + | 52.0878i | −1.15344 | + | 2.23736i | ||||
\(543\) | 2.59799 | − | 13.4797i | 0.111490 | − | 0.578467i | ||||
\(544\) | 1.82903 | + | 2.56852i | 0.0784192 | + | 0.110124i | ||||
\(545\) | 0.484471 | − | 0.753852i | 0.0207525 | − | 0.0322915i | ||||
\(546\) | −3.34101 | + | 13.3169i | −0.142982 | + | 0.569911i | ||||
\(547\) | 3.73695 | + | 4.31267i | 0.159781 | + | 0.184397i | 0.829995 | − | 0.557771i | \(-0.188343\pi\) |
−0.670214 | + | 0.742168i | \(0.733798\pi\) | |||||||
\(548\) | −22.9200 | − | 24.0378i | −0.979095 | − | 1.02685i | ||||
\(549\) | 1.64394 | − | 2.30859i | 0.0701616 | − | 0.0985281i | ||||
\(550\) | −10.9051 | − | 27.2395i | −0.464993 | − | 1.16150i | ||||
\(551\) | −0.532943 | + | 0.923084i | −0.0227041 | + | 0.0393247i | ||||
\(552\) | 2.41223 | + | 9.62567i | 0.102671 | + | 0.409696i | ||||
\(553\) | 5.07150 | − | 2.87544i | 0.215662 | − | 0.122276i | ||||
\(554\) | −3.28029 | + | 22.8149i | −0.139366 | + | 0.969312i | ||||
\(555\) | 8.39877 | + | 0.801985i | 0.356508 | + | 0.0340424i | ||||
\(556\) | −11.4667 | + | 2.78178i | −0.486295 | + | 0.117974i | ||||
\(557\) | 8.38635 | + | 2.90254i | 0.355341 | + | 0.122985i | 0.498906 | − | 0.866656i | \(-0.333735\pi\) |
−0.143565 | + | 0.989641i | \(0.545857\pi\) | |||||||
\(558\) | 13.8726 | + | 3.36546i | 0.587274 | + | 0.142471i | ||||
\(559\) | 12.5782 | + | 8.08353i | 0.532002 | + | 0.341897i | ||||
\(560\) | −1.30004 | + | 2.78884i | −0.0549368 | + | 0.117850i | ||||
\(561\) | −0.943097 | + | 1.08839i | −0.0398176 | + | 0.0459519i | ||||
\(562\) | 44.7046 | − | 2.12954i | 1.88575 | − | 0.0898294i | ||||
\(563\) | −4.71587 | + | 3.70860i | −0.198750 | + | 0.156299i | −0.712574 | − | 0.701597i | \(-0.752471\pi\) |
0.513824 | + | 0.857896i | \(0.328228\pi\) | |||||||
\(564\) | 26.8081 | − | 21.0822i | 1.12883 | − | 0.887719i | ||||
\(565\) | 11.0550 | − | 0.526612i | 0.465085 | − | 0.0221547i | ||||
\(566\) | −11.4724 | + | 13.2399i | −0.482222 | + | 0.556514i | ||||
\(567\) | 1.11785 | − | 2.39800i | 0.0469453 | − | 0.100707i | ||||
\(568\) | −12.4397 | − | 7.99448i | −0.521956 | − | 0.335441i | ||||
\(569\) | 44.9389 | + | 10.9020i | 1.88393 | + | 0.457038i | 0.999945 | − | 0.0104692i | \(-0.00333252\pi\) |
0.883989 | + | 0.467507i | \(0.154848\pi\) | |||||||
\(570\) | −1.81526 | − | 0.628269i | −0.0760330 | − | 0.0263153i | ||||
\(571\) | 33.7122 | − | 8.17848i | 1.41081 | − | 0.342259i | 0.543242 | − | 0.839576i | \(-0.317197\pi\) |
0.867569 | + | 0.497318i | \(0.165682\pi\) | |||||||
\(572\) | 21.6632 | + | 2.06858i | 0.905783 | + | 0.0864918i | ||||
\(573\) | −0.195572 | + | 1.36023i | −0.00817015 | + | 0.0568246i | ||||
\(574\) | −33.4006 | + | 18.9375i | −1.39412 | + | 0.790437i | ||||
\(575\) | 2.04593 | + | 19.8421i | 0.0853211 | + | 0.827473i | ||||
\(576\) | −6.45438 | + | 11.1793i | −0.268932 | + | 0.465805i | ||||
\(577\) | 6.42326 | + | 16.0445i | 0.267404 | + | 0.667942i | 0.999918 | − | 0.0128094i | \(-0.00407746\pi\) |
−0.732514 | + | 0.680752i | \(0.761653\pi\) | |||||||
\(578\) | 21.6340 | − | 30.3807i | 0.899855 | − | 1.26367i | ||||
\(579\) | 2.66903 | + | 2.79920i | 0.110921 | + | 0.116331i | ||||
\(580\) | 1.98892 | + | 2.29534i | 0.0825856 | + | 0.0953088i | ||||
\(581\) | 2.29396 | − | 9.14349i | 0.0951696 | − | 0.379336i | ||||
\(582\) | −2.39205 | + | 3.72210i | −0.0991537 | + | 0.154286i | ||||
\(583\) | −12.1310 | − | 17.0356i | −0.502416 | − | 0.705544i | ||||
\(584\) | −2.55146 | + | 13.2382i | −0.105580 | + | 0.547802i | ||||
\(585\) | 0.981770 | − | 1.90437i | 0.0405912 | − | 0.0787360i | ||||
\(586\) | −21.3337 | − | 8.54074i | −0.881289 | − | 0.352815i | ||||
\(587\) | −29.9304 | + | 4.30334i | −1.23536 | + | 0.177618i | −0.728884 | − | 0.684637i | \(-0.759961\pi\) |
−0.506475 | + | 0.862255i | \(0.669052\pi\) | |||||||
\(588\) | 10.8240 | + | 17.4356i | 0.446376 | + | 0.719031i | ||||
\(589\) | 4.58291 | + | 3.97111i | 0.188835 | + | 0.163627i | ||||
\(590\) | −0.592745 | + | 0.422092i | −0.0244029 | + | 0.0173772i | ||||
\(591\) | −3.53554 | − | 0.168419i | −0.145433 | − | 0.00692782i | ||||
\(592\) | 8.05412 | − | 8.44692i | 0.331022 | − | 0.347166i | ||||
\(593\) | −7.66932 | − | 39.7922i | −0.314941 | − | 1.63407i | −0.702115 | − | 0.712063i | \(-0.747761\pi\) |
0.387174 | − | 0.922007i | \(-0.373451\pi\) | |||||||
\(594\) | −6.76863 | − | 1.98745i | −0.277720 | − | 0.0815460i | ||||
\(595\) | −1.09398 | − | 0.113093i | −0.0448488 | − | 0.00463636i | ||||
\(596\) | −39.3061 | − | 5.65137i | −1.61004 | − | 0.231489i | ||||
\(597\) | −4.28185 | − | 2.47213i | −0.175244 | − | 0.101177i | ||||
\(598\) | −23.1735 | − | 9.07493i | −0.947634 | − | 0.371102i | ||||
\(599\) | 19.1410 | + | 33.1531i | 0.782079 | + | 1.35460i | 0.930729 | + | 0.365710i | \(0.119174\pi\) |
−0.148650 | + | 0.988890i | \(0.547493\pi\) | |||||||
\(600\) | 5.32003 | − | 6.76497i | 0.217189 | − | 0.276179i | ||||
\(601\) | 31.5873 | − | 14.4254i | 1.28847 | − | 0.588425i | 0.350963 | − | 0.936389i | \(-0.385854\pi\) |
0.937508 | + | 0.347964i | \(0.113127\pi\) | |||||||
\(602\) | 36.6035 | − | 8.57772i | 1.49185 | − | 0.349602i | ||||
\(603\) | −8.94003 | + | 7.74658i | −0.364066 | + | 0.315465i | ||||
\(604\) | −5.54982 | + | 22.8767i | −0.225819 | + | 0.930838i | ||||
\(605\) | 0.0396740 | − | 0.832860i | 0.00161298 | − | 0.0338606i | ||||
\(606\) | 28.3281 | − | 2.70501i | 1.15075 | − | 0.109883i | ||||
\(607\) | −39.5408 | + | 13.6852i | −1.60491 | + | 0.555465i | −0.975192 | − | 0.221359i | \(-0.928951\pi\) |
−0.629718 | + | 0.776824i | \(0.716830\pi\) | |||||||
\(608\) | −5.51972 | + | 3.54731i | −0.223854 | + | 0.143862i | ||||
\(609\) | −2.96213 | + | 0.402298i | −0.120031 | + | 0.0163019i | ||||
\(610\) | −0.821269 | − | 5.71205i | −0.0332522 | − | 0.231274i | ||||
\(611\) | 1.29342 | + | 27.1523i | 0.0523264 | + | 1.09847i | ||||
\(612\) | −1.30513 | − | 0.251543i | −0.0527567 | − | 0.0101680i | ||||
\(613\) | 0.241800 | + | 2.53225i | 0.00976623 | + | 0.102277i | 0.999041 | − | 0.0437923i | \(-0.0139440\pi\) |
−0.989274 | + | 0.146069i | \(0.953338\pi\) | |||||||
\(614\) | 23.2941 | + | 45.1842i | 0.940072 | + | 1.82349i | ||||
\(615\) | 5.74905 | − | 1.68807i | 0.231824 | − | 0.0680697i | ||||
\(616\) | 13.2311 | − | 11.2851i | 0.533096 | − | 0.454688i | ||||
\(617\) | −3.45873 | + | 11.7793i | −0.139243 | + | 0.474218i | −0.999356 | − | 0.0358854i | \(-0.988575\pi\) |
0.860113 | + | 0.510104i | \(0.170393\pi\) | |||||||
\(618\) | −2.60666 | + | 27.2982i | −0.104855 | + | 1.09809i | ||||
\(619\) | 32.1109 | − | 12.8553i | 1.29065 | − | 0.516697i | 0.378136 | − | 0.925750i | \(-0.376565\pi\) |
0.912511 | + | 0.409053i | \(0.134141\pi\) | |||||||
\(620\) | 14.9642 | − | 8.63956i | 0.600975 | − | 0.346973i | ||||
\(621\) | 4.05396 | + | 2.56230i | 0.162680 | + | 0.102821i | ||||
\(622\) | 37.1121i | 1.48806i | ||||||||
\(623\) | 42.5416 | − | 16.6467i | 1.70439 | − | 0.666936i | ||||
\(624\) | −1.23125 | − | 2.69605i | −0.0492893 | − | 0.107928i | ||||
\(625\) | 9.47823 | − | 9.03747i | 0.379129 | − | 0.361499i | ||||
\(626\) | 0.646019 | − | 1.86655i | 0.0258201 | − | 0.0746023i | ||||
\(627\) | −2.16883 | − | 2.06797i | −0.0866146 | − | 0.0825869i | ||||
\(628\) | −15.7017 | + | 8.09480i | −0.626567 | + | 0.323018i | ||||
\(629\) | 3.79472 | + | 1.73299i | 0.151306 | + | 0.0690989i | ||||
\(630\) | −1.72218 | − | 5.10459i | −0.0686134 | − | 0.203372i | ||||
\(631\) | −19.6880 | − | 30.6352i | −0.783768 | − | 1.21957i | −0.971429 | − | 0.237332i | \(-0.923727\pi\) |
0.187661 | − | 0.982234i | \(-0.439909\pi\) | |||||||
\(632\) | 1.69456 | − | 4.23281i | 0.0674061 | − | 0.168372i | ||||
\(633\) | −6.44888 | − | 8.20042i | −0.256320 | − | 0.325937i | ||||
\(634\) | 18.7446 | + | 9.66353i | 0.744444 | + | 0.383788i | ||||
\(635\) | 3.86394 | + | 11.1641i | 0.153336 | + | 0.443035i | ||||
\(636\) | 8.01817 | − | 17.5573i | 0.317941 | − | 0.696194i | ||||
\(637\) | −16.3245 | − | 1.03347i | −0.646798 | − | 0.0409474i | ||||
\(638\) | 2.24553 | + | 7.64759i | 0.0889015 | + | 0.302771i | ||||
\(639\) | −7.01727 | + | 1.35247i | −0.277599 | + | 0.0535028i | ||||
\(640\) | 3.18996 | + | 13.1492i | 0.126094 | + | 0.519767i | ||||
\(641\) | 0.300372 | + | 0.213894i | 0.0118640 | + | 0.00844830i | 0.585974 | − | 0.810330i | \(-0.300712\pi\) |
−0.574110 | + | 0.818779i | \(0.694652\pi\) | |||||||
\(642\) | −21.4172 | − | 16.8427i | −0.845269 | − | 0.664727i | ||||
\(643\) | −14.6080 | −0.576085 | −0.288042 | − | 0.957618i | \(-0.593004\pi\) | ||||
−0.288042 | + | 0.957618i | \(0.593004\pi\) | |||||||
\(644\) | −33.8420 | + | 15.4443i | −1.33356 | + | 0.608592i | ||||
\(645\) | −5.86683 | −0.231006 | ||||||||
\(646\) | −0.746598 | − | 0.587131i | −0.0293745 | − | 0.0231004i | ||||
\(647\) | 28.3161 | + | 20.1638i | 1.11322 | + | 0.792721i | 0.980125 | − | 0.198383i | \(-0.0635688\pi\) |
0.133096 | + | 0.991103i | \(0.457508\pi\) | |||||||
\(648\) | −0.487822 | − | 2.01083i | −0.0191635 | − | 0.0789929i | ||||
\(649\) | −1.11469 | + | 0.214839i | −0.0437555 | + | 0.00843318i | ||||
\(650\) | 6.08088 | + | 20.7096i | 0.238512 | + | 0.812297i | ||||
\(651\) | −0.941898 | + | 16.9808i | −0.0369159 | + | 0.665530i | ||||
\(652\) | 20.3487 | − | 44.5574i | 0.796916 | − | 1.74500i | ||||
\(653\) | −5.36342 | − | 15.4966i | −0.209887 | − | 0.606429i | 0.790092 | − | 0.612989i | \(-0.210033\pi\) |
−0.999978 | + | 0.00656033i | \(0.997912\pi\) | |||||||
\(654\) | 1.92912 | + | 0.994532i | 0.0754347 | + | 0.0388893i | ||||
\(655\) | −1.49889 | − | 1.90599i | −0.0585664 | − | 0.0744733i | ||||
\(656\) | 3.08060 | − | 7.69498i | 0.120277 | − | 0.300438i | ||||
\(657\) | 3.52262 | + | 5.48130i | 0.137430 | + | 0.213846i | ||||
\(658\) | 51.3043 | + | 45.1619i | 2.00005 | + | 1.76059i | ||||
\(659\) | −12.8736 | − | 5.87918i | −0.501485 | − | 0.229021i | 0.148578 | − | 0.988901i | \(-0.452530\pi\) |
−0.650063 | + | 0.759880i | \(0.725258\pi\) | |||||||
\(660\) | −7.58972 | + | 3.91277i | −0.295430 | + | 0.152304i | ||||
\(661\) | −30.8673 | − | 29.4319i | −1.20060 | − | 1.14477i | −0.985767 | − | 0.168116i | \(-0.946232\pi\) |
−0.214830 | − | 0.976651i | \(-0.568920\pi\) | |||||||
\(662\) | −13.8074 | + | 39.8940i | −0.536641 | + | 1.55052i | ||||
\(663\) | 0.766719 | − | 0.731066i | 0.0297769 | − | 0.0283922i | ||||
\(664\) | −3.06262 | − | 6.70621i | −0.118853 | − | 0.260252i | ||||
\(665\) | 0.343377 | − | 2.26262i | 0.0133156 | − | 0.0877407i | ||||
\(666\) | 20.4346i | 0.791824i | ||||||||
\(667\) | −0.0408970 | − | 5.41845i | −0.00158354 | − | 0.209803i | ||||
\(668\) | −6.04776 | + | 3.49168i | −0.233995 | + | 0.135097i | ||||
\(669\) | −11.7847 | + | 4.71790i | −0.455625 | + | 0.182405i | ||||
\(670\) | −2.28961 | + | 23.9779i | −0.0884553 | + | 0.926346i | ||||
\(671\) | 2.53636 | − | 8.63805i | 0.0979151 | − | 0.333468i | ||||
\(672\) | −17.3418 | − | 6.15418i | −0.668976 | − | 0.237403i | ||||
\(673\) | −49.1020 | + | 14.4176i | −1.89274 | + | 0.555759i | −0.899937 | + | 0.436019i | \(0.856388\pi\) |
−0.992805 | + | 0.119740i | \(0.961794\pi\) | |||||||
\(674\) | −12.4855 | − | 24.2184i | −0.480922 | − | 0.932858i | ||||
\(675\) | −0.395367 | − | 4.14047i | −0.0152177 | − | 0.159367i | ||||
\(676\) | 21.7049 | + | 4.18328i | 0.834804 | + | 0.160895i | ||||
\(677\) | 1.77093 | + | 37.1764i | 0.0680624 | + | 1.42881i | 0.732146 | + | 0.681148i | \(0.238519\pi\) |
−0.664083 | + | 0.747659i | \(0.731178\pi\) | |||||||
\(678\) | 3.81486 | + | 26.5330i | 0.146509 | + | 1.01899i | ||||
\(679\) | −4.87817 | − | 1.99728i | −0.187207 | − | 0.0766485i | ||||
\(680\) | −0.723584 | + | 0.465019i | −0.0277482 | + | 0.0178327i | ||||
\(681\) | −21.7449 | + | 7.52597i | −0.833265 | + | 0.288396i | ||||
\(682\) | 45.1403 | − | 4.31037i | 1.72851 | − | 0.165053i | ||||
\(683\) | 0.398574 | − | 8.36709i | 0.0152510 | − | 0.320158i | −0.978331 | − | 0.207046i | \(-0.933615\pi\) |
0.993582 | − | 0.113112i | \(-0.0360819\pi\) | |||||||
\(684\) | 0.652049 | − | 2.68778i | 0.0249317 | − | 0.102770i | ||||
\(685\) | −7.85036 | + | 6.80238i | −0.299947 | + | 0.259905i | ||||
\(686\) | −30.4233 | + | 27.6769i | −1.16157 | + | 1.05671i | ||||
\(687\) | 9.93638 | − | 4.53779i | 0.379097 | − | 0.173128i | ||||
\(688\) | −5.01691 | + | 6.37952i | −0.191268 | + | 0.243217i | ||||
\(689\) | 7.69214 | + | 13.3232i | 0.293047 | + | 0.507573i | ||||
\(690\) | 9.57458 | − | 1.92041i | 0.364498 | − | 0.0731087i | ||||
\(691\) | 32.8312 | + | 18.9551i | 1.24896 | + | 0.721085i | 0.970901 | − | 0.239480i | \(-0.0769769\pi\) |
0.278055 | + | 0.960565i | \(0.410310\pi\) | |||||||
\(692\) | −31.8869 | − | 4.58464i | −1.21216 | − | 0.174282i | ||||
\(693\) | 0.864222 | − | 8.35987i | 0.0328291 | − | 0.317565i | ||||
\(694\) | −19.9506 | − | 5.85802i | −0.757314 | − | 0.222367i | ||||
\(695\) | 0.698376 | + | 3.62352i | 0.0264909 | + | 0.137448i | ||||
\(696\) | −1.61330 | + | 1.69198i | −0.0611521 | + | 0.0641345i | ||||
\(697\) | 2.95931 | + | 0.140969i | 0.112092 | + | 0.00533959i | ||||
\(698\) | −60.0105 | + | 42.7333i | −2.27143 | + | 1.61748i | ||||
\(699\) | −19.0163 | − | 16.4777i | −0.719262 | − | 0.623244i | ||||
\(700\) | 28.5595 | + | 15.0070i | 1.07945 | + | 0.567210i | ||||
\(701\) | 27.7635 | − | 3.99179i | 1.04861 | − | 0.150768i | 0.403597 | − | 0.914937i | \(-0.367760\pi\) |
0.645016 | + | 0.764169i | \(0.276851\pi\) | |||||||
\(702\) | 4.81758 | + | 1.92867i | 0.181828 | + | 0.0727930i | ||||
\(703\) | −3.97771 | + | 7.71568i | −0.150022 | + | 0.291002i | ||||
\(704\) | −7.76037 | + | 40.2646i | −0.292480 | + | 1.51753i | ||||
\(705\) | −6.18701 | − | 8.68844i | −0.233016 | − | 0.327226i | ||||
\(706\) | 8.22101 | − | 12.7921i | 0.309402 | − | 0.481438i | ||||
\(707\) | 9.29717 | + | 32.6033i | 0.349656 | + | 1.22617i | ||||
\(708\) | −0.686104 | − | 0.791806i | −0.0257854 | − | 0.0297579i | ||||
\(709\) | −11.2965 | − | 11.8475i | −0.424251 | − | 0.444941i | 0.476567 | − | 0.879138i | \(-0.341881\pi\) |
−0.900818 | + | 0.434196i | \(0.857032\pi\) | |||||||
\(710\) | −8.44071 | + | 11.8533i | −0.316774 | + | 0.444847i | ||||
\(711\) | −0.818963 | − | 2.04567i | −0.0307135 | − | 0.0767187i | ||||
\(712\) | 17.8635 | − | 30.9404i | 0.669461 | − | 1.15954i | ||||
\(713\) | −30.3137 | − | 5.60553i | −1.13526 | − | 0.209929i | ||||
\(714\) | 0.0208086 | − | 2.66369i | 0.000778741 | − | 0.0996862i | ||||
\(715\) | 0.968587 | − | 6.73667i | 0.0362231 | − | 0.251937i | ||||
\(716\) | −4.12727 | − | 0.394106i | −0.154243 | − | 0.0147284i | ||||
\(717\) | 21.8375 | − | 5.29773i | 0.815538 | − | 0.197847i | ||||
\(718\) | 1.20635 | + | 0.417522i | 0.0450206 | + | 0.0155818i | ||||
\(719\) | 3.93226 | + | 0.953956i | 0.146648 | + | 0.0355765i | 0.308411 | − | 0.951253i | \(-0.400203\pi\) |
−0.161763 | + | 0.986830i | \(0.551718\pi\) | |||||||
\(720\) | 0.978364 | + | 0.628756i | 0.0364615 | + | 0.0234324i | ||||
\(721\) | −32.5457 | + | 2.85137i | −1.21207 | + | 0.106190i | ||||
\(722\) | −26.3371 | + | 30.3946i | −0.980166 | + | 1.13117i | ||||
\(723\) | −21.0545 | + | 1.00295i | −0.783025 | + | 0.0373001i | ||||
\(724\) | 31.6356 | − | 24.8785i | 1.17573 | − | 0.924602i | ||||
\(725\) | −3.69399 | + | 2.90499i | −0.137191 | + | 0.107888i | ||||
\(726\) | 2.01721 | − | 0.0960916i | 0.0748657 | − | 0.00356629i | ||||
\(727\) | −16.3111 | + | 18.8240i | −0.604944 | + | 0.698142i | −0.972775 | − | 0.231750i | \(-0.925555\pi\) |
0.367832 | + | 0.929892i | \(0.380100\pi\) | |||||||
\(728\) | −10.4780 | + | 7.33869i | −0.388341 | + | 0.271990i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 12.8931 | + | 3.12784i | 0.477197 | + | 0.115767i | ||||
\(731\) | −2.74134 | − | 0.948788i | −0.101392 | − | 0.0350922i | ||||
\(732\) | 8.07462 | − | 1.95888i | 0.298446 | − | 0.0724023i | ||||
\(733\) | 40.3578 | + | 3.85370i | 1.49065 | + | 0.142340i | 0.808336 | − | 0.588721i | \(-0.200368\pi\) |
0.682313 | + | 0.731061i | \(0.260974\pi\) | |||||||
\(734\) | −0.323129 | + | 2.24741i | −0.0119269 | + | 0.0829535i | ||||
\(735\) | 5.60785 | − | 3.12191i | 0.206849 | − | 0.115153i | ||||
\(736\) | 15.0602 | − | 29.7620i | 0.555125 | − | 1.09704i | ||||
\(737\) | −18.7884 | + | 32.5425i | −0.692080 | + | 1.19872i | ||||
\(738\) | 5.39365 | + | 13.4727i | 0.198543 | + | 0.495936i | ||||
\(739\) | −5.35545 | + | 7.52068i | −0.197003 | + | 0.276653i | −0.901247 | − | 0.433306i | \(-0.857347\pi\) |
0.704243 | + | 0.709959i | \(0.251286\pi\) | |||||||
\(740\) | 17.0691 | + | 17.9015i | 0.627472 | + | 0.658074i | ||||
\(741\) | 1.44359 | + | 1.66600i | 0.0530318 | + | 0.0612019i | ||||
\(742\) | 37.5199 | + | 9.41318i | 1.37740 | + | 0.345569i | ||||
\(743\) | 1.90010 | − | 2.95661i | 0.0697079 | − | 0.108468i | −0.804650 | − | 0.593750i | \(-0.797647\pi\) |
0.874357 | + | 0.485282i | \(0.161283\pi\) | |||||||
\(744\) | 7.71508 | + | 10.8343i | 0.282848 | + | 0.397205i | ||||
\(745\) | −2.35038 | + | 12.1949i | −0.0861112 | + | 0.446787i | ||||
\(746\) | 32.2104 | − | 62.4795i | 1.17931 | − | 2.28754i | ||||
\(747\) | −3.30779 | − | 1.32424i | −0.121026 | − | 0.0484514i | ||||
\(748\) | −4.17916 | + | 0.600873i | −0.152805 | + | 0.0219701i | ||||
\(749\) | 15.0993 | − | 28.7353i | 0.551718 | − | 1.04996i | ||||
\(750\) | −14.0949 | − | 12.2133i | −0.514671 | − | 0.445965i | ||||
\(751\) | −43.0937 | + | 30.6869i | −1.57251 | + | 1.11978i | −0.634633 | + | 0.772813i | \(0.718849\pi\) |
−0.937878 | + | 0.346966i | \(0.887212\pi\) | |||||||
\(752\) | −14.7384 | − | 0.702077i | −0.537455 | − | 0.0256021i | ||||
\(753\) | −0.0433238 | + | 0.0454366i | −0.00157881 | + | 0.00165580i | ||||
\(754\) | −1.10961 | − | 5.75722i | −0.0404097 | − | 0.209666i | ||||
\(755\) | 7.06395 | + | 2.07416i | 0.257083 | + | 0.0754865i | ||||
\(756\) | 7.08065 | − | 3.16701i | 0.257521 | − | 0.115183i | ||||
\(757\) | 12.6413 | + | 1.81754i | 0.459454 | + | 0.0660596i | 0.368156 | − | 0.929764i | \(-0.379989\pi\) |
0.0912983 | + | 0.995824i | \(0.470898\pi\) | |||||||
\(758\) | 69.3823 | + | 40.0579i | 2.52008 | + | 1.45497i | ||||
\(759\) | 14.8316 | + | 3.47978i | 0.538352 | + | 0.126308i | ||||
\(760\) | −0.894892 | − | 1.55000i | −0.0324612 | − | 0.0562244i | ||||
\(761\) | −21.7247 | + | 27.6252i | −0.787520 | + | 1.00141i | 0.212187 | + | 0.977229i | \(0.431941\pi\) |
−0.999708 | + | 0.0241842i | \(0.992301\pi\) | |||||||
\(762\) | −26.0278 | + | 11.8865i | −0.942888 | + | 0.430602i | ||||
\(763\) | −0.747851 | + | 2.47525i | −0.0270740 | + | 0.0896100i | ||||
\(764\) | −3.04481 | + | 2.63834i | −0.110157 | + | 0.0954519i | ||||
\(765\) | −0.0980024 | + | 0.403972i | −0.00354329 | + | 0.0146056i | ||||
\(766\) | 2.70304 | − | 56.7439i | 0.0976650 | − | 2.05024i | ||||
\(767\) | 0.831293 | − | 0.0793788i | 0.0300162 | − | 0.00286620i | ||||
\(768\) | −6.57154 | + | 2.27443i | −0.237130 | + | 0.0820715i | ||||
\(769\) | 35.6418 | − | 22.9056i | 1.28528 | − | 0.825997i | 0.293748 | − | 0.955883i | \(-0.405097\pi\) |
0.991529 | + | 0.129885i | \(0.0414610\pi\) | |||||||
\(770\) | −10.4732 | − | 13.5340i | −0.377428 | − | 0.487732i | ||||
\(771\) | −4.18782 | − | 29.1270i | −0.150821 | − | 1.04898i | ||||
\(772\) | 0.539537 | + | 11.3263i | 0.0194184 | + | 0.407642i | ||||
\(773\) | −8.72603 | − | 1.68180i | −0.313853 | − | 0.0604903i | 0.0298921 | − | 0.999553i | \(-0.490484\pi\) |
−0.343745 | + | 0.939063i | \(0.611696\pi\) | |||||||
\(774\) | −1.35071 | − | 14.1453i | −0.0485503 | − | 0.508442i | ||||
\(775\) | 12.2511 | + | 23.7639i | 0.440074 | + | 0.853625i | ||||
\(776\) | −3.95546 | + | 1.16143i | −0.141993 | + | 0.0416928i | ||||
\(777\) | −23.9406 | + | 4.42050i | −0.858865 | + | 0.158584i | ||||
\(778\) | −15.9751 | + | 54.4061i | −0.572735 | + | 1.95055i | ||||
\(779\) | −0.586004 | + | 6.13691i | −0.0209958 | + | 0.219878i | ||||
\(780\) | 5.83143 | − | 2.33455i | 0.208799 | − | 0.0835903i | ||||
\(781\) | −19.6597 | + | 11.3506i | −0.703481 | + | 0.406155i | ||||
\(782\) | 4.78440 | + | 0.651075i | 0.171090 | + | 0.0232824i | ||||
\(783\) | 1.12986i | 0.0403778i | ||||||||
\(784\) | 1.40072 | − | 8.76755i | 0.0500258 | − | 0.313127i | ||||
\(785\) | 2.29511 | + | 5.02559i | 0.0819160 | + | 0.179371i | ||||
\(786\) | 4.25038 | − | 4.05273i | 0.151606 | − | 0.144556i | ||||
\(787\) | −13.9878 | + | 40.4151i | −0.498611 | + | 1.44064i | 0.362383 | + | 0.932029i | \(0.381963\pi\) |
−0.860995 | + | 0.508614i | \(0.830158\pi\) | |||||||
\(788\) | −7.51021 | − | 7.16097i | −0.267540 | − | 0.255099i | ||||
\(789\) | 16.7799 | − | 8.65062i | 0.597379 | − | 0.307970i | ||||
\(790\) | −4.08133 | − | 1.86388i | −0.145207 | − | 0.0663139i | ||||
\(791\) | −30.2600 | + | 10.2091i | −1.07592 | + | 0.362994i | ||||
\(792\) | −3.55354 | − | 5.52942i | −0.126270 | − | 0.196479i | ||||
\(793\) | −2.46135 | + | 6.14815i | −0.0874050 | + | 0.218327i | ||||
\(794\) | −26.0455 | − | 33.1196i | −0.924320 | − | 1.17537i | ||||
\(795\) | −5.36550 | − | 2.76611i | −0.190295 | − | 0.0981036i | ||||
\(796\) | −4.74093 | − | 13.6980i | −0.168038 | − | 0.485513i | ||||
\(797\) | −0.289535 | + | 0.633993i | −0.0102558 | + | 0.0224572i | −0.914691 | − | 0.404155i | \(-0.867566\pi\) |
0.904435 | + | 0.426612i | \(0.140293\pi\) | |||||||
\(798\) | 5.53438 | + | 0.306983i | 0.195915 | + | 0.0108671i | ||||
\(799\) | −1.48585 | − | 5.06034i | −0.0525656 | − | 0.179022i | ||||
\(800\) | −28.4056 | + | 5.47472i | −1.00429 | + | 0.193561i | ||||
\(801\) | −4.07071 | − | 16.7797i | −0.143831 | − | 0.592881i | ||||
\(802\) | −16.6423 | − | 11.8509i | −0.587660 | − | 0.418471i | ||||
\(803\) | 16.2692 | + | 12.7943i | 0.574129 | + | 0.451500i | ||||
\(804\) | −34.6806 | −1.22309 | ||||||||
\(805\) | 4.32111 | + | 10.8019i | 0.152299 | + | 0.380716i | ||||
\(806\) | −33.3569 | −1.17495 | ||||||||
\(807\) | 9.09654 | + | 7.15360i | 0.320214 | + | 0.251819i | ||||
\(808\) | 21.5980 | + | 15.3799i | 0.759816 | + | 0.541062i | ||||
\(809\) | 8.40406 | + | 34.6420i | 0.295471 | + | 1.21795i | 0.905079 | + | 0.425244i | \(0.139812\pi\) |
−0.609608 | + | 0.792703i | \(0.708673\pi\) | |||||||
\(810\) | −1.99940 | + | 0.385353i | −0.0702519 | + | 0.0135399i | ||||
\(811\) | 6.30212 | + | 21.4630i | 0.221297 | + | 0.753669i | 0.993044 | + | 0.117740i | \(0.0375649\pi\) |
−0.771747 | + | 0.635929i | \(0.780617\pi\) | |||||||
\(812\) | −7.33543 | − | 4.79557i | −0.257423 | − | 0.168292i | ||||
\(813\) | −10.9622 | + | 24.0038i | −0.384460 | + | 0.841850i | ||||
\(814\) | 21.2306 | + | 61.3419i | 0.744133 | + | 2.15003i | ||||
\(815\) | −13.6167 | − | 7.01988i | −0.476971 | − | 0.245896i | ||||
\(816\) | 0.355469 | + | 0.452015i | 0.0124439 | + | 0.0158237i | ||||
\(817\) | 2.24346 | − | 5.60390i | 0.0784888 | − | 0.196055i | ||||
\(818\) | 46.2617 | + | 71.9846i | 1.61750 | + | 2.51688i | ||||
\(819\) | −1.21742 | + | 6.06137i | −0.0425400 | + | 0.211801i | ||||
\(820\) | 15.9788 | + | 7.29729i | 0.558005 | + | 0.254832i | ||||
\(821\) | 7.69125 | − | 3.96512i | 0.268427 | − | 0.138384i | −0.318759 | − | 0.947836i | \(-0.603266\pi\) |
0.587186 | + | 0.809452i | \(0.300236\pi\) | |||||||
\(822\) | −18.2083 | − | 17.3616i | −0.635089 | − | 0.605556i | ||||
\(823\) | −2.90433 | + | 8.39152i | −0.101239 | + | 0.292510i | −0.984234 | − | 0.176872i | \(-0.943402\pi\) |
0.882995 | + | 0.469382i | \(0.155523\pi\) | |||||||
\(824\) | −18.4917 | + | 17.6318i | −0.644190 | + | 0.614234i | ||||
\(825\) | −5.48860 | − | 12.0184i | −0.191088 | − | 0.418425i | ||||
\(826\) | 1.31082 | − | 1.64031i | 0.0456094 | − | 0.0570738i | ||||
\(827\) | − | 34.3160i | − | 1.19328i | −0.802508 | − | 0.596642i | \(-0.796501\pi\) | ||
0.802508 | − | 0.596642i | \(-0.203499\pi\) | |||||||
\(828\) | 4.06290 | + | 13.4603i | 0.141196 | + | 0.467778i | ||||
\(829\) | 48.1066 | − | 27.7743i | 1.67081 | − | 0.964643i | 0.703625 | − | 0.710571i | \(-0.251563\pi\) |
0.967185 | − | 0.254072i | \(-0.0817699\pi\) | |||||||
\(830\) | −6.73533 | + | 2.69642i | −0.233787 | + | 0.0935940i | ||||
\(831\) | −0.986601 | + | 10.3322i | −0.0342248 | + | 0.358418i | ||||
\(832\) | 8.49827 | − | 28.9425i | 0.294625 | − | 1.00340i | ||||
\(833\) | 3.12521 | − | 0.551842i | 0.108282 | − | 0.0191202i | ||||
\(834\) | −8.57574 | + | 2.51806i | −0.296954 | + | 0.0871935i | ||||
\(835\) | 1.00078 | + | 1.94125i | 0.0346335 | + | 0.0671796i | ||||
\(836\) | −0.835123 | − | 8.74581i | −0.0288833 | − | 0.302480i | ||||
\(837\) | 6.31184 | + | 1.21651i | 0.218169 | + | 0.0420487i | ||||
\(838\) | −0.401900 | − | 8.43693i | −0.0138834 | − | 0.291449i | ||||
\(839\) | 2.02473 | + | 14.0823i | 0.0699014 | + | 0.486175i | 0.994458 | + | 0.105131i | \(0.0335262\pi\) |
−0.924557 | + | 0.381044i | \(0.875565\pi\) | |||||||
\(840\) | 1.90192 | − | 4.64525i | 0.0656223 | − | 0.160276i | ||||
\(841\) | −23.3224 | + | 14.9884i | −0.804222 | + | 0.516842i | ||||
\(842\) | 59.6419 | − | 20.6423i | 2.05540 | − | 0.711380i | ||||
\(843\) | 20.0620 | − | 1.91569i | 0.690971 | − | 0.0659798i | ||||
\(844\) | 1.45529 | − | 30.5504i | 0.0500933 | − | 1.05159i | ||||
\(845\) | 1.62983 | − | 6.71823i | 0.0560677 | − | 0.231114i | ||||
\(846\) | 19.5240 | − | 16.9176i | 0.671247 | − | 0.581639i | ||||
\(847\) | 0.548950 | + | 2.34252i | 0.0188621 | + | 0.0804900i | ||||
\(848\) | −7.59603 | + | 3.46899i | −0.260849 | + | 0.119126i | ||||
\(849\) | −4.87648 | + | 6.20095i | −0.167361 | + | 0.212816i | ||||
\(850\) | −2.09382 | − | 3.62660i | −0.0718173 | − | 0.124391i | ||||
\(851\) | −2.43240 | − | 44.0625i | −0.0833817 | − | 1.51044i | ||||
\(852\) | −18.1444 | − | 10.4757i | −0.621618 | − | 0.358892i | ||||
\(853\) | 32.2048 | + | 4.63035i | 1.10267 | + | 0.158540i | 0.669529 | − | 0.742786i | \(-0.266496\pi\) |
0.433141 | + | 0.901326i | \(0.357405\pi\) | |||||||
\(854\) | 6.79891 | + | 15.2007i | 0.232654 | + | 0.520156i | ||||
\(855\) | −0.829945 | − | 0.243694i | −0.0283835 | − | 0.00833415i | ||||
\(856\) | −4.80444 | − | 24.9278i | −0.164212 | − | 0.852015i | ||||
\(857\) | −17.3582 | + | 18.2048i | −0.592945 | + | 0.621863i | −0.950011 | − | 0.312216i | \(-0.898929\pi\) |
0.357066 | + | 0.934079i | \(0.383777\pi\) | |||||||
\(858\) | 16.4655 | + | 0.784350i | 0.562124 | + | 0.0267773i | ||||
\(859\) | −18.0607 | + | 12.8609i | −0.616222 | + | 0.438810i | −0.845072 | − | 0.534652i | \(-0.820443\pi\) |
0.228850 | + | 0.973462i | \(0.426503\pi\) | |||||||
\(860\) | −12.9989 | − | 11.2636i | −0.443259 | − | 0.384086i | ||||
\(861\) | −14.6174 | + | 9.23352i | −0.498161 | + | 0.314677i | ||||
\(862\) | 65.9970 | − | 9.48893i | 2.24787 | − | 0.323194i | ||||
\(863\) | −14.7179 | − | 5.89215i | −0.501002 | − | 0.200571i | 0.107376 | − | 0.994219i | \(-0.465755\pi\) |
−0.608378 | + | 0.793647i | \(0.708179\pi\) | |||||||
\(864\) | −3.18701 | + | 6.18194i | −0.108424 | + | 0.210314i | ||||
\(865\) | −1.90673 | + | 9.89306i | −0.0648308 | + | 0.336374i | ||||
\(866\) | 43.3804 | + | 60.9193i | 1.47413 | + | 2.07012i | ||||
\(867\) | 9.07977 | − | 14.1284i | 0.308365 | − | 0.479826i | ||||
\(868\) | −34.6880 | + | 35.8153i | −1.17739 | + | 1.21565i | ||||
\(869\) | −4.58378 | − | 5.28996i | −0.155494 | − | 0.179450i | ||||
\(870\) | 1.58761 | + | 1.66503i | 0.0538249 | + | 0.0564499i | ||||
\(871\) | 16.0340 | − | 22.5166i | 0.543290 | − | 0.762944i | ||||
\(872\) | 0.751590 | + | 1.87738i | 0.0254520 | + | 0.0635761i | ||||
\(873\) | −0.996165 | + | 1.72541i | −0.0337151 | + | 0.0583962i | ||||
\(874\) | −1.82695 | + | 9.87983i | −0.0617976 | + | 0.334190i | ||||
\(875\) | 11.2597 | − | 19.1552i | 0.380646 | − | 0.647563i | ||||
\(876\) | −2.71852 | + | 18.9077i | −0.0918501 | + | 0.638832i | ||||
\(877\) | 36.3357 | + | 3.46964i | 1.22697 | + | 0.117161i | 0.688345 | − | 0.725384i | \(-0.258338\pi\) |
0.538626 | + | 0.842545i | \(0.318944\pi\) | |||||||
\(878\) | 77.2733 | − | 18.7463i | 2.60785 | − | 0.632657i | ||||
\(879\) | −9.77865 | − | 3.38442i | −0.329826 | − | 0.114154i | ||||
\(880\) | 3.59017 | + | 0.870965i | 0.121024 | + | 0.0293602i | ||||
\(881\) | −27.4532 | − | 17.6431i | −0.924922 | − | 0.594411i | −0.0108403 | − | 0.999941i | \(-0.503451\pi\) |
−0.914082 | + | 0.405530i | \(0.867087\pi\) | |||||||
\(882\) | 8.81821 | + | 12.8021i | 0.296924 | + | 0.431070i | ||||
\(883\) | −13.2666 | + | 15.3105i | −0.446458 | + | 0.515240i | −0.933714 | − | 0.358019i | \(-0.883452\pi\) |
0.487256 | + | 0.873259i | \(0.337998\pi\) | |||||||
\(884\) | 3.10235 | − | 0.147783i | 0.104343 | − | 0.00497048i | ||||
\(885\) | −0.257566 | + | 0.202552i | −0.00865798 | + | 0.00680871i | ||||
\(886\) | 54.9300 | − | 43.1974i | 1.84541 | − | 1.45125i | ||||
\(887\) | −31.6334 | + | 1.50688i | −1.06215 | + | 0.0505962i | −0.571372 | − | 0.820691i | \(-0.693589\pi\) |
−0.490773 | + | 0.871287i | \(0.663286\pi\) | |||||||
\(888\) | −12.4683 | + | 14.3892i | −0.418410 | + | 0.482871i | ||||
\(889\) | −19.5563 | − | 27.9221i | −0.655899 | − | 0.936478i | ||||
\(890\) | −29.5767 | − | 19.0078i | −0.991412 | − | 0.637142i | ||||
\(891\) | −3.08703 | − | 0.748906i | −0.103419 | − | 0.0250893i | ||||
\(892\) | −35.1688 | − | 12.1720i | −1.17754 | − | 0.407550i | ||||
\(893\) | 10.6650 | − | 2.58729i | 0.356889 | − | 0.0865803i | ||||
\(894\) | −29.9438 | − | 2.85929i | −1.00147 | − | 0.0956290i | ||||
\(895\) | −0.184535 | + | 1.28347i | −0.00616833 | + | 0.0429017i | ||||
\(896\) | −19.2569 | − | 33.9639i | −0.643327 | − | 1.13465i | ||||
\(897\) | −10.6176 | − | 3.58528i | −0.354511 | − | 0.119709i | ||||
\(898\) | 1.80606 | − | 3.12819i | 0.0602691 | − | 0.104389i | ||||
\(899\) | −2.69928 | − | 6.74248i | −0.0900261 | − | 0.224874i | ||||
\(900\) | 7.07320 | − | 9.93292i | 0.235773 | − | 0.331097i | ||||
\(901\) | −2.05975 | − | 2.16021i | −0.0686203 | − | 0.0719669i | ||||
\(902\) | 30.1885 | + | 34.8394i | 1.00517 | + | 1.16003i | ||||
\(903\) | 16.2800 | − | 4.64243i | 0.541766 | − | 0.154490i | ||||
\(904\) | −13.5030 | + | 21.0111i | −0.449104 | + | 0.698819i | ||||
\(905\) | −7.30113 | − | 10.2530i | −0.242698 | − | 0.340821i | ||||
\(906\) | −3.37461 | + | 17.5092i | −0.112114 | + | 0.581703i | ||||
\(907\) | 1.97236 | − | 3.82584i | 0.0654911 | − | 0.127035i | −0.853817 | − | 0.520573i | \(-0.825719\pi\) |
0.919309 | + | 0.393538i | \(0.128749\pi\) | |||||||
\(908\) | −62.6281 | − | 25.0725i | −2.07839 | − | 0.832061i | ||||
\(909\) | 12.6837 | − | 1.82364i | 0.420692 | − | 0.0604863i | ||||
\(910\) | 6.72299 | + | 10.6431i | 0.222865 | + | 0.352815i | ||||
\(911\) | −29.7354 | − | 25.7659i | −0.985179 | − | 0.853663i | 0.00405685 | − | 0.999992i | \(-0.498709\pi\) |
−0.989236 | + | 0.146329i | \(0.953254\pi\) | |||||||
\(912\) | −0.974701 | + | 0.694082i | −0.0322756 | + | 0.0229833i | ||||
\(913\) | −11.3054 | − | 0.538541i | −0.374153 | − | 0.0178231i | ||||
\(914\) | 28.3159 | − | 29.6968i | 0.936606 | − | 0.982284i | ||||
\(915\) | −0.491784 | − | 2.55162i | −0.0162579 | − | 0.0843538i | ||||
\(916\) | 30.7277 | + | 9.02245i | 1.01527 | + | 0.298110i | ||||
\(917\) | 5.66753 | + | 4.10293i | 0.187158 | + | 0.135491i | ||||
\(918\) | −0.996564 | − | 0.143284i | −0.0328915 | − | 0.00472908i | ||||
\(919\) | −25.7915 | − | 14.8907i | −0.850783 | − | 0.491200i | 0.0101321 | − | 0.999949i | \(-0.496775\pi\) |
−0.860915 | + | 0.508749i | \(0.830108\pi\) | |||||||
\(920\) | 7.91379 | + | 4.48973i | 0.260910 | + | 0.148022i | ||||
\(921\) | 11.4455 | + | 19.8242i | 0.377142 | + | 0.653230i | ||||
\(922\) | 5.92196 | − | 7.53038i | 0.195029 | − | 0.248000i | ||||
\(923\) | 15.1902 | − | 6.93712i | 0.499991 | − | 0.228338i | ||||
\(924\) | 17.9648 | − | 16.8634i | 0.590998 | − | 0.554766i | ||||
\(925\) | −28.9244 | + | 25.0631i | −0.951028 | + | 0.824071i | ||||
\(926\) | 16.2661 | − | 67.0496i | 0.534536 | − | 2.20339i | ||||
\(927\) | −0.587553 | + | 12.3343i | −0.0192978 | + | 0.405110i | ||||
\(928\) | 7.82268 | − | 0.746976i | 0.256792 | − | 0.0245207i | ||||
\(929\) | 41.0175 | − | 14.1963i | 1.34574 | − | 0.465766i | 0.443221 | − | 0.896412i | \(-0.353836\pi\) |
0.902521 | + | 0.430647i | \(0.141714\pi\) | |||||||
\(930\) | 11.0109 | − | 7.07629i | 0.361062 | − | 0.232041i | ||||
\(931\) | 0.837566 | + | 6.55033i | 0.0274501 | + | 0.214678i | ||||
\(932\) | −10.4984 | − | 73.0179i | −0.343886 | − | 2.39178i | ||||
\(933\) | 0.795166 | + | 16.6926i | 0.0260326 | + | 0.546491i | ||||
\(934\) | 73.6774 | + | 14.2001i | 2.41080 | + | 0.464643i | ||||
\(935\) | 0.125518 | + | 1.31449i | 0.00410489 | + | 0.0429884i | ||||
\(936\) | 2.21556 | + | 4.29758i | 0.0724177 | + | 0.140471i | ||||
\(937\) | −33.9030 | + | 9.95481i | −1.10756 | + | 0.325210i | −0.783853 | − | 0.620947i | \(-0.786748\pi\) |
−0.323709 | + | 0.946157i | \(0.604930\pi\) | |||||||
\(938\) | −12.6202 | − | 68.3487i | −0.412064 | − | 2.23166i | ||||
\(939\) | 0.250579 | − | 0.853393i | 0.00817733 | − | 0.0278494i | ||||
\(940\) | 2.97245 | − | 31.1289i | 0.0969508 | − | 1.01531i | ||||
\(941\) | −26.9867 | + | 10.8039i | −0.879743 | + | 0.352196i | −0.767167 | − | 0.641447i | \(-0.778334\pi\) |
−0.112576 | + | 0.993643i | \(0.535910\pi\) | |||||||
\(942\) | −11.5886 | + | 6.69069i | −0.377578 | + | 0.217995i | ||||
\(943\) | −13.2339 | − | 28.4087i | −0.430954 | − | 0.925115i | ||||
\(944\) | 0.453282i | 0.0147531i | ||||||||
\(945\) | −0.883988 | − | 2.25908i | −0.0287561 | − | 0.0734880i | ||||
\(946\) | −18.7510 | − | 41.0589i | −0.609647 | − | 1.33494i | ||||
\(947\) | 6.17734 | − | 5.89008i | 0.200736 | − | 0.191402i | −0.583043 | − | 0.812442i | \(-0.698138\pi\) |
0.783779 | + | 0.621040i | \(0.213289\pi\) | |||||||
\(948\) | 2.11290 | − | 6.10482i | 0.0686238 | − | 0.198275i | ||||
\(949\) | −11.0191 | − | 10.5067i | −0.357694 | − | 0.341061i | ||||
\(950\) | 7.74513 | − | 3.99289i | 0.251285 | − | 0.129546i | ||||
\(951\) | 8.63816 | + | 3.94492i | 0.280112 | + | 0.127923i | ||||
\(952\) | 1.63993 | − | 1.86297i | 0.0531503 | − | 0.0603792i | ||||
\(953\) | 12.5087 | + | 19.4639i | 0.405196 | + | 0.630498i | 0.982550 | − | 0.185996i | \(-0.0595512\pi\) |
−0.577354 | + | 0.816494i | \(0.695915\pi\) | |||||||
\(954\) | 5.43396 | − | 13.5734i | 0.175931 | − | 0.439455i | ||||
\(955\) | 0.778893 | + | 0.990443i | 0.0252044 | + | 0.0320500i | ||||
\(956\) | 58.5555 | + | 30.1875i | 1.89382 | + | 0.976333i | ||||
\(957\) | 1.17387 | + | 3.39168i | 0.0379459 | + | 0.109637i | ||||
\(958\) | 1.09191 | − | 2.39095i | 0.0352781 | − | 0.0772482i | ||||
\(959\) | 16.4015 | − | 25.0881i | 0.529632 | − | 0.810138i | ||||
\(960\) | 3.33459 | + | 11.3566i | 0.107623 | + | 0.366531i | ||||
\(961\) | −10.1328 | + | 1.95293i | −0.326863 | + | 0.0629977i | ||||
\(962\) | −11.2575 | − | 46.4042i | −0.362958 | − | 1.49613i | ||||
\(963\) | −9.99407 | − | 7.11674i | −0.322054 | − | 0.229334i | ||||
\(964\) | −48.5751 | − | 38.1999i | −1.56450 | − | 1.23034i | ||||
\(965\) | 3.54629 | 0.114159 | ||||||||
\(966\) | −25.0492 | + | 12.9054i | −0.805944 | + | 0.415224i | ||||
\(967\) | −46.7295 | −1.50272 | −0.751360 | − | 0.659893i | \(-0.770602\pi\) | ||||
−0.751360 | + | 0.659893i | \(0.770602\pi\) | |||||||
\(968\) | 1.47907 | + | 1.16315i | 0.0475391 | + | 0.0373852i | ||||
\(969\) | −0.348391 | − | 0.248088i | −0.0111919 | − | 0.00796974i | ||||
\(970\) | 0.956423 | + | 3.94243i | 0.0307089 | + | 0.126584i | ||||
\(971\) | −43.5098 | + | 8.38583i | −1.39630 | + | 0.269114i | −0.831229 | − | 0.555930i | \(-0.812362\pi\) |
−0.565068 | + | 0.825045i | \(0.691150\pi\) | |||||||
\(972\) | −0.825966 | − | 2.81298i | −0.0264929 | − | 0.0902264i | ||||
\(973\) | −4.80524 | − | 9.50238i | −0.154049 | − | 0.304632i | ||||
\(974\) | −13.9071 | + | 30.4523i | −0.445612 | + | 0.975755i | ||||
\(975\) | 3.17883 | + | 9.18463i | 0.101804 | + | 0.294144i | ||||
\(976\) | −3.19514 | − | 1.64721i | −0.102274 | − | 0.0527258i | ||||
\(977\) | −1.05715 | − | 1.34427i | −0.0338211 | − | 0.0430071i | 0.768848 | − | 0.639431i | \(-0.220830\pi\) |
−0.802669 | + | 0.596424i | \(0.796588\pi\) | |||||||
\(978\) | 13.7904 | − | 34.4468i | 0.440969 | − | 1.10149i | ||||
\(979\) | −29.6531 | − | 46.1411i | −0.947717 | − | 1.47468i | ||||
\(980\) | 18.4188 | + | 3.84931i | 0.588366 | + | 0.122962i | ||||
\(981\) | 0.889005 | + | 0.405995i | 0.0283838 | + | 0.0129624i | ||||
\(982\) | −60.6894 | + | 31.2876i | −1.93668 | + | 0.998426i | ||||
\(983\) | −24.0583 | − | 22.9395i | −0.767340 | − | 0.731657i | 0.201461 | − | 0.979497i | \(-0.435431\pi\) |
−0.968801 | + | 0.247839i | \(0.920280\pi\) | |||||||
\(984\) | −4.42248 | + | 12.7779i | −0.140983 | + | 0.407345i | ||||
\(985\) | −2.34881 | + | 2.23958i | −0.0748393 | + | 0.0713591i | ||||
\(986\) | 0.472557 | + | 1.03476i | 0.0150493 | + | 0.0329533i | ||||
\(987\) | 24.0437 | + | 19.2140i | 0.765319 | + | 0.611590i | ||||
\(988\) | 6.46281i | 0.205609i | ||||||||
\(989\) | 4.59626 | + | 30.3403i | 0.146153 | + | 0.964765i | ||||
\(990\) | −5.60157 | + | 3.23407i | −0.178030 | + | 0.102785i | ||||
\(991\) | −17.4906 | + | 7.00217i | −0.555606 | + | 0.222431i | −0.632436 | − | 0.774613i | \(-0.717945\pi\) |
0.0768291 | + | 0.997044i | \(0.475520\pi\) | |||||||
\(992\) | 4.24971 | − | 44.5049i | 0.134928 | − | 1.41303i | ||||
\(993\) | −5.35565 | + | 18.2397i | −0.169956 | + | 0.578818i | ||||
\(994\) | 14.0428 | − | 39.5713i | 0.445412 | − | 1.25512i | ||||
\(995\) | −4.34973 | + | 1.27720i | −0.137896 | + | 0.0404899i | ||||
\(996\) | −4.78656 | − | 9.28463i | −0.151668 | − | 0.294195i | ||||
\(997\) | −4.00392 | − | 41.9310i | −0.126806 | − | 1.32797i | −0.805083 | − | 0.593162i | \(-0.797879\pi\) |
0.678278 | − | 0.734806i | \(-0.262727\pi\) | |||||||
\(998\) | −0.893576 | − | 0.172223i | −0.0282857 | − | 0.00545161i | ||||
\(999\) | 0.437832 | + | 9.19124i | 0.0138524 | + | 0.290798i |
(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 | 483.2.bf.a.61.29 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.4 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.4 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.29 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.29 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.4 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.4 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.29 | yes | 640 | 161.66 | even | 66 | inner |