Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(6,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.e (of order \(14\), degree \(6\), 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: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 6.12 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.12 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.40114 | + | 0.776287i | −1.20248 | + | 0.274459i | −0.776409 | − | 0.630229i | \(-0.782961\pi\) |
−0.426074 | + | 0.904688i | \(0.640104\pi\) | |||||||
\(3\) | 4.02676 | + | 0.919081i | 0.774950 | + | 0.176877i | 0.591666 | − | 0.806183i | \(-0.298470\pi\) |
0.183283 | + | 0.983060i | \(0.441327\pi\) | |||||||
\(4\) | 3.75735 | − | 1.80945i | 0.469669 | − | 0.226181i | ||||
\(5\) | −4.50770 | + | 9.36034i | −0.403181 | + | 0.837215i | 0.596227 | + | 0.802816i | \(0.296666\pi\) |
−0.999408 | + | 0.0343986i | \(0.989048\pi\) | |||||||
\(6\) | −14.4090 | −0.980409 | ||||||||
\(7\) | 2.93112 | − | 12.8421i | 0.158266 | − | 0.693407i | −0.832065 | − | 0.554678i | \(-0.812841\pi\) |
0.990330 | − | 0.138728i | \(-0.0443015\pi\) | |||||||
\(8\) | 10.4454 | − | 8.32991i | 0.461625 | − | 0.368134i | ||||
\(9\) | −8.95610 | − | 4.31303i | −0.331707 | − | 0.159742i | ||||
\(10\) | 8.06500 | − | 35.3351i | 0.255038 | − | 1.11739i | ||||
\(11\) | 46.1917 | − | 10.5430i | 1.26612 | − | 0.288984i | 0.463833 | − | 0.885922i | \(-0.346474\pi\) |
0.802287 | + | 0.596939i | \(0.203616\pi\) | |||||||
\(12\) | 16.7930 | − | 3.83289i | 0.403976 | − | 0.0922049i | ||||
\(13\) | 7.70773 | + | 6.14671i | 0.164441 | + | 0.131138i | 0.702253 | − | 0.711927i | \(-0.252177\pi\) |
−0.537812 | + | 0.843065i | \(0.680749\pi\) | |||||||
\(14\) | 45.9530i | 0.877247i | ||||||||
\(15\) | −26.7543 | + | 33.5489i | −0.460529 | + | 0.577486i | ||||
\(16\) | −49.8611 | + | 62.5238i | −0.779080 | + | 0.976935i | ||||
\(17\) | 26.4973 | − | 55.0223i | 0.378032 | − | 0.784992i | −0.621966 | − | 0.783044i | \(-0.713666\pi\) |
0.999998 | − | 0.00194770i | \(-0.000619971\pi\) | |||||||
\(18\) | 33.8091 | + | 7.71670i | 0.442715 | + | 0.101047i | ||||
\(19\) | 41.2373 | 0.497920 | 0.248960 | − | 0.968514i | \(-0.419911\pi\) | ||||
0.248960 | + | 0.968514i | \(0.419911\pi\) | |||||||
\(20\) | 43.3266i | 0.484406i | ||||||||
\(21\) | 23.6058 | − | 49.0180i | 0.245296 | − | 0.509362i | ||||
\(22\) | −148.920 | + | 71.7160i | −1.44317 | + | 0.694996i | ||||
\(23\) | 12.7349 | + | 55.7952i | 0.115453 | + | 0.505831i | 0.999277 | + | 0.0380126i | \(0.0121027\pi\) |
−0.883825 | + | 0.467818i | \(0.845040\pi\) | |||||||
\(24\) | 49.7169 | − | 23.9424i | 0.422850 | − | 0.203634i | ||||
\(25\) | 10.6396 | + | 13.3416i | 0.0851167 | + | 0.106733i | ||||
\(26\) | −30.9866 | − | 14.9224i | −0.233730 | − | 0.112558i | ||||
\(27\) | −119.289 | − | 95.1295i | −0.850263 | − | 0.678062i | ||||
\(28\) | −12.2238 | − | 53.5559i | −0.0825028 | − | 0.361468i | ||||
\(29\) | −4.30689 | − | 18.8697i | −0.0275782 | − | 0.120828i | 0.959265 | − | 0.282507i | \(-0.0911662\pi\) |
−0.986843 | + | 0.161679i | \(0.948309\pi\) | |||||||
\(30\) | 64.9516 | − | 134.873i | 0.395283 | − | 0.820813i | ||||
\(31\) | 74.0152 | − | 16.8935i | 0.428824 | − | 0.0978762i | −0.00266111 | − | 0.999996i | \(-0.500847\pi\) |
0.431485 | + | 0.902120i | \(0.357990\pi\) | |||||||
\(32\) | 74.6739 | − | 155.062i | 0.412519 | − | 0.856605i | ||||
\(33\) | 195.693 | 1.03229 | ||||||||
\(34\) | −47.4080 | + | 207.708i | −0.239129 | + | 1.04769i | ||||
\(35\) | 106.994 | + | 85.3245i | 0.516721 | + | 0.412071i | ||||
\(36\) | −41.4554 | −0.191923 | ||||||||
\(37\) | 135.675 | + | 170.131i | 0.602834 | + | 0.755929i | 0.985817 | − | 0.167826i | \(-0.0536747\pi\) |
−0.382983 | + | 0.923755i | \(0.625103\pi\) | |||||||
\(38\) | −140.254 | + | 32.0120i | −0.598740 | + | 0.136659i | ||||
\(39\) | 25.3878 | + | 31.8353i | 0.104239 | + | 0.130711i | ||||
\(40\) | 30.8862 | + | 135.321i | 0.122088 | + | 0.534904i | ||||
\(41\) | 462.474 | + | 222.716i | 1.76162 | + | 0.848351i | 0.972080 | + | 0.234650i | \(0.0753946\pi\) |
0.789539 | + | 0.613700i | \(0.210320\pi\) | |||||||
\(42\) | −42.2346 | + | 185.042i | −0.155165 | + | 0.679823i | ||||
\(43\) | 105.649 | + | 462.877i | 0.374680 | + | 1.64158i | 0.713445 | + | 0.700711i | \(0.247134\pi\) |
−0.338765 | + | 0.940871i | \(0.610009\pi\) | |||||||
\(44\) | 154.482 | − | 123.195i | 0.529295 | − | 0.422099i | ||||
\(45\) | 80.7429 | − | 64.3903i | 0.267476 | − | 0.213305i | ||||
\(46\) | −86.6262 | − | 179.881i | −0.277660 | − | 0.576566i | ||||
\(47\) | −100.839 | − | 126.447i | −0.312953 | − | 0.392431i | 0.600332 | − | 0.799751i | \(-0.295035\pi\) |
−0.913286 | + | 0.407320i | \(0.866464\pi\) | |||||||
\(48\) | −258.243 | + | 205.942i | −0.776545 | + | 0.619274i | ||||
\(49\) | 152.705 | + | 73.5388i | 0.445204 | + | 0.214399i | ||||
\(50\) | −46.5436 | − | 37.1173i | −0.131645 | − | 0.104984i | ||||
\(51\) | 157.268 | − | 197.208i | 0.431803 | − | 0.541464i | ||||
\(52\) | 40.0828 | + | 9.14863i | 0.106894 | + | 0.0243978i | ||||
\(53\) | 224.909 | − | 108.311i | 0.582899 | − | 0.280710i | −0.119106 | − | 0.992882i | \(-0.538003\pi\) |
0.702005 | + | 0.712172i | \(0.252288\pi\) | |||||||
\(54\) | 479.565 | + | 230.946i | 1.20853 | + | 0.581996i | ||||
\(55\) | −109.533 | + | 479.895i | −0.268535 | + | 1.17653i | ||||
\(56\) | −76.3567 | − | 158.556i | −0.182207 | − | 0.378357i | ||||
\(57\) | 166.053 | + | 37.9004i | 0.385863 | + | 0.0880707i | ||||
\(58\) | 29.2966 | + | 60.8351i | 0.0663247 | + | 0.137725i | ||||
\(59\) | −131.682 | − | 576.934i | −0.290567 | − | 1.27306i | −0.883738 | − | 0.467982i | \(-0.844981\pi\) |
0.593171 | − | 0.805077i | \(-0.297876\pi\) | |||||||
\(60\) | −39.8206 | + | 174.465i | −0.0856803 | + | 0.375390i | ||||
\(61\) | 106.679 | + | 467.390i | 0.223915 | + | 0.981036i | 0.954499 | + | 0.298213i | \(0.0963906\pi\) |
−0.730584 | + | 0.682822i | \(0.760752\pi\) | |||||||
\(62\) | −238.622 | + | 114.914i | −0.488790 | + | 0.235389i | ||||
\(63\) | −81.6397 | + | 102.373i | −0.163264 | + | 0.204727i | ||||
\(64\) | 8.75820 | − | 38.3722i | 0.0171059 | − | 0.0749457i | ||||
\(65\) | −92.2794 | + | 44.4394i | −0.176090 | + | 0.0848005i | ||||
\(66\) | −665.577 | + | 151.914i | −1.24132 | + | 0.283322i | ||||
\(67\) | 285.067 | − | 227.333i | 0.519798 | − | 0.414525i | −0.328133 | − | 0.944631i | \(-0.606420\pi\) |
0.847931 | + | 0.530107i | \(0.177848\pi\) | |||||||
\(68\) | − | 254.684i | − | 0.454190i | ||||||
\(69\) | 236.378i | 0.412414i | ||||||||
\(70\) | −430.136 | − | 207.143i | −0.734444 | − | 0.353690i | ||||
\(71\) | 184.070 | − | 382.224i | 0.307677 | − | 0.638897i | −0.688597 | − | 0.725144i | \(-0.741773\pi\) |
0.996274 | + | 0.0862470i | \(0.0274874\pi\) | |||||||
\(72\) | −129.477 | + | 29.5523i | −0.211931 | + | 0.0483718i | ||||
\(73\) | 128.687 | − | 102.625i | 0.206325 | − | 0.164538i | −0.514876 | − | 0.857265i | \(-0.672162\pi\) |
0.721201 | + | 0.692726i | \(0.243591\pi\) | |||||||
\(74\) | −593.520 | − | 473.316i | −0.932369 | − | 0.743539i | ||||
\(75\) | 30.5810 | + | 63.5021i | 0.0470826 | + | 0.0977679i | ||||
\(76\) | 154.943 | − | 74.6166i | 0.233858 | − | 0.112620i | ||||
\(77\) | − | 624.100i | − | 0.923673i | ||||||
\(78\) | −111.061 | − | 88.5680i | −0.161220 | − | 0.128569i | ||||
\(79\) | −347.890 | − | 722.400i | −0.495451 | − | 1.02881i | −0.987408 | − | 0.158195i | \(-0.949432\pi\) |
0.491957 | − | 0.870620i | \(-0.336282\pi\) | |||||||
\(80\) | −360.485 | − | 748.556i | −0.503794 | − | 1.04614i | ||||
\(81\) | −225.574 | − | 282.860i | −0.309429 | − | 0.388011i | ||||
\(82\) | −1745.83 | − | 398.474i | −2.35115 | − | 0.536636i | ||||
\(83\) | −737.900 | −0.975844 | −0.487922 | − | 0.872887i | \(-0.662245\pi\) | ||||
−0.487922 | + | 0.872887i | \(0.662245\pi\) | |||||||
\(84\) | − | 226.891i | − | 0.294713i | ||||||
\(85\) | 395.585 | + | 496.048i | 0.504791 | + | 0.632988i | ||||
\(86\) | −718.650 | − | 1492.29i | −0.901094 | − | 1.87114i | ||||
\(87\) | − | 79.9421i | − | 0.0985137i | ||||||
\(88\) | 394.668 | − | 494.898i | 0.478088 | − | 0.599503i | ||||
\(89\) | 152.705 | + | 34.8540i | 0.181874 | + | 0.0415115i | 0.312488 | − | 0.949922i | \(-0.398838\pi\) |
−0.130614 | + | 0.991433i | \(0.541695\pi\) | |||||||
\(90\) | −224.632 | + | 281.680i | −0.263092 | + | 0.329907i | ||||
\(91\) | 101.529 | − | 80.9665i | 0.116957 | − | 0.0932702i | ||||
\(92\) | 148.808 | + | 186.599i | 0.168634 | + | 0.211460i | ||||
\(93\) | 313.568 | 0.349629 | ||||||||
\(94\) | 441.125 | + | 351.785i | 0.484027 | + | 0.385999i | ||||
\(95\) | −185.885 | + | 385.995i | −0.200752 | + | 0.416866i | ||||
\(96\) | 443.208 | − | 555.766i | 0.471195 | − | 0.590860i | ||||
\(97\) | 879.703 | + | 423.643i | 0.920828 | + | 0.443448i | 0.833367 | − | 0.552720i | \(-0.186410\pi\) |
0.0874616 | + | 0.996168i | \(0.472124\pi\) | |||||||
\(98\) | −576.457 | − | 131.573i | −0.594194 | − | 0.135621i | ||||
\(99\) | −459.170 | − | 104.802i | −0.466144 | − | 0.106394i | ||||
\(100\) | 64.1176 | + | 30.8774i | 0.0641176 | + | 0.0308774i | ||||
\(101\) | −950.789 | + | 1192.25i | −0.936703 | + | 1.17459i | 0.0477351 | + | 0.998860i | \(0.484800\pi\) |
−0.984439 | + | 0.175729i | \(0.943772\pi\) | |||||||
\(102\) | −381.801 | + | 792.817i | −0.370626 | + | 0.769614i | ||||
\(103\) | −762.557 | − | 608.119i | −0.729486 | − | 0.581745i | 0.186739 | − | 0.982409i | \(-0.440208\pi\) |
−0.916225 | + | 0.400664i | \(0.868779\pi\) | |||||||
\(104\) | 131.712 | 0.124186 | ||||||||
\(105\) | 352.417 | + | 441.917i | 0.327546 | + | 0.410730i | ||||
\(106\) | −680.867 | + | 542.973i | −0.623883 | + | 0.497530i | ||||
\(107\) | 215.237 | − | 269.898i | 0.194464 | − | 0.243851i | −0.675034 | − | 0.737787i | \(-0.735871\pi\) |
0.869498 | + | 0.493936i | \(0.164442\pi\) | |||||||
\(108\) | −620.341 | − | 141.589i | −0.552707 | − | 0.126152i | ||||
\(109\) | 51.1836 | − | 64.1822i | 0.0449770 | − | 0.0563994i | −0.758834 | − | 0.651284i | \(-0.774231\pi\) |
0.803811 | + | 0.594884i | \(0.202802\pi\) | |||||||
\(110\) | − | 1717.22i | − | 1.48846i | ||||||
\(111\) | 389.966 | + | 809.773i | 0.333459 | + | 0.692435i | ||||
\(112\) | 656.787 | + | 823.585i | 0.554112 | + | 0.694834i | ||||
\(113\) | − | 804.367i | − | 0.669633i | −0.942283 | − | 0.334816i | \(-0.891326\pi\) | ||
0.942283 | − | 0.334816i | \(-0.108674\pi\) | |||||||
\(114\) | −594.189 | −0.488166 | ||||||||
\(115\) | −579.668 | − | 132.305i | −0.470037 | − | 0.107283i | ||||
\(116\) | −50.3262 | − | 63.1071i | −0.0402816 | − | 0.0505116i | ||||
\(117\) | −42.5202 | − | 88.2942i | −0.0335983 | − | 0.0697675i | ||||
\(118\) | 895.733 | + | 1860.01i | 0.698805 | + | 1.45108i | ||||
\(119\) | −628.933 | − | 501.558i | −0.484489 | − | 0.386367i | ||||
\(120\) | 573.292i | 0.436118i | ||||||||
\(121\) | 823.330 | − | 396.495i | 0.618580 | − | 0.297893i | ||||
\(122\) | −725.658 | − | 1506.84i | −0.538508 | − | 1.11822i | ||||
\(123\) | 1657.58 | + | 1321.87i | 1.21511 | + | 0.969019i | ||||
\(124\) | 247.533 | − | 197.401i | 0.179267 | − | 0.142961i | ||||
\(125\) | −1438.93 | + | 328.427i | −1.02962 | + | 0.235003i | ||||
\(126\) | 198.197 | − | 411.560i | 0.140133 | − | 0.290989i | ||||
\(127\) | −396.553 | − | 190.970i | −0.277074 | − | 0.133432i | 0.290187 | − | 0.956970i | \(-0.406283\pi\) |
−0.567261 | + | 0.823538i | \(0.691997\pi\) | |||||||
\(128\) | 1514.15i | 1.04558i | ||||||||
\(129\) | 1960.99i | 1.33842i | ||||||||
\(130\) | 279.357 | − | 222.780i | 0.188471 | − | 0.150301i | ||||
\(131\) | 1482.78 | − | 338.434i | 0.988937 | − | 0.225718i | 0.302691 | − | 0.953089i | \(-0.402115\pi\) |
0.686245 | + | 0.727370i | \(0.259258\pi\) | |||||||
\(132\) | 735.286 | − | 354.095i | 0.484837 | − | 0.233485i | ||||
\(133\) | 120.871 | − | 529.572i | 0.0788036 | − | 0.345261i | ||||
\(134\) | −793.075 | + | 994.484i | −0.511278 | + | 0.641122i | ||||
\(135\) | 1428.16 | − | 687.767i | 0.910494 | − | 0.438471i | ||||
\(136\) | −181.556 | − | 795.449i | −0.114473 | − | 0.501538i | ||||
\(137\) | 299.062 | − | 1310.27i | 0.186500 | − | 0.817112i | −0.791943 | − | 0.610595i | \(-0.790930\pi\) |
0.978443 | − | 0.206516i | \(-0.0662126\pi\) | |||||||
\(138\) | −183.497 | − | 803.954i | −0.113191 | − | 0.495921i | ||||
\(139\) | 557.614 | + | 1157.90i | 0.340260 | + | 0.706558i | 0.998948 | − | 0.0458587i | \(-0.0146024\pi\) |
−0.658688 | + | 0.752417i | \(0.728888\pi\) | |||||||
\(140\) | 556.403 | + | 126.995i | 0.335890 | + | 0.0766647i | ||||
\(141\) | −289.837 | − | 601.852i | −0.173111 | − | 0.359469i | ||||
\(142\) | −329.330 | + | 1442.89i | −0.194625 | + | 0.852708i | ||||
\(143\) | 420.838 | + | 202.665i | 0.246099 | + | 0.118515i | ||||
\(144\) | 716.228 | − | 344.917i | 0.414484 | − | 0.199605i | ||||
\(145\) | 196.041 | + | 44.7451i | 0.112278 | + | 0.0256268i | ||||
\(146\) | −358.016 | + | 448.938i | −0.202943 | + | 0.254482i | ||||
\(147\) | 547.317 | + | 436.471i | 0.307088 | + | 0.244895i | ||||
\(148\) | 817.622 | + | 393.746i | 0.454109 | + | 0.218687i | ||||
\(149\) | 2287.13 | − | 1823.93i | 1.25751 | − | 1.00283i | 0.258186 | − | 0.966095i | \(-0.416875\pi\) |
0.999325 | − | 0.0367361i | \(-0.0116961\pi\) | |||||||
\(150\) | −153.306 | − | 192.240i | −0.0834493 | − | 0.104642i | ||||
\(151\) | −242.480 | − | 503.516i | −0.130681 | − | 0.271361i | 0.825354 | − | 0.564616i | \(-0.190976\pi\) |
−0.956034 | + | 0.293255i | \(0.905261\pi\) | |||||||
\(152\) | 430.739 | − | 343.503i | 0.229852 | − | 0.183301i | ||||
\(153\) | −474.626 | + | 378.501i | −0.250792 | + | 0.200000i | ||||
\(154\) | 484.481 | + | 2122.65i | 0.253510 | + | 1.11070i | ||||
\(155\) | −175.510 | + | 768.959i | −0.0909503 | + | 0.398479i | ||||
\(156\) | 152.995 | + | 73.6786i | 0.0785219 | + | 0.0378142i | ||||
\(157\) | −251.419 | − | 1101.54i | −0.127805 | − | 0.559951i | −0.997765 | − | 0.0668276i | \(-0.978712\pi\) |
0.869959 | − | 0.493123i | \(-0.164145\pi\) | |||||||
\(158\) | 1744.01 | + | 2186.92i | 0.878139 | + | 1.10115i | ||||
\(159\) | 1005.20 | − | 229.431i | 0.501369 | − | 0.114434i | ||||
\(160\) | 1114.83 | + | 1397.95i | 0.550842 | + | 0.690734i | ||||
\(161\) | 753.854 | 0.369019 | ||||||||
\(162\) | 986.787 | + | 786.937i | 0.478576 | + | 0.381652i | ||||
\(163\) | −857.873 | + | 3758.59i | −0.412232 | + | 1.80610i | 0.161281 | + | 0.986908i | \(0.448437\pi\) |
−0.573513 | + | 0.819196i | \(0.694420\pi\) | |||||||
\(164\) | 2140.67 | 1.01926 | ||||||||
\(165\) | −882.124 | + | 1831.75i | −0.416202 | + | 0.864252i | ||||
\(166\) | 2509.70 | − | 572.822i | 1.17344 | − | 0.267829i | ||||
\(167\) | 1162.97 | − | 2414.94i | 0.538884 | − | 1.11901i | −0.436746 | − | 0.899585i | \(-0.643869\pi\) |
0.975630 | − | 0.219420i | \(-0.0704166\pi\) | |||||||
\(168\) | −161.744 | − | 708.645i | −0.0742786 | − | 0.325436i | ||||
\(169\) | −467.251 | − | 2047.16i | −0.212677 | − | 0.931799i | ||||
\(170\) | −1730.52 | − | 1380.04i | −0.780732 | − | 0.622613i | ||||
\(171\) | −369.325 | − | 177.858i | −0.165164 | − | 0.0795387i | ||||
\(172\) | 1234.51 | + | 1548.03i | 0.547270 | + | 0.686255i | ||||
\(173\) | −591.531 | + | 284.866i | −0.259961 | + | 0.125191i | −0.559325 | − | 0.828948i | \(-0.688940\pi\) |
0.299364 | + | 0.954139i | \(0.403225\pi\) | |||||||
\(174\) | 62.0580 | + | 271.894i | 0.0270380 | + | 0.118461i | ||||
\(175\) | 202.520 | − | 97.5285i | 0.0874804 | − | 0.0421284i | ||||
\(176\) | −1643.98 | + | 3413.77i | −0.704090 | + | 1.46206i | ||||
\(177\) | − | 2444.20i | − | 1.03795i | ||||||
\(178\) | −546.429 | −0.230093 | ||||||||
\(179\) | −1253.33 | − | 286.065i | −0.523344 | − | 0.119450i | −0.0473161 | − | 0.998880i | \(-0.515067\pi\) |
−0.476028 | + | 0.879430i | \(0.657924\pi\) | |||||||
\(180\) | 186.869 | − | 388.037i | 0.0773798 | − | 0.160681i | ||||
\(181\) | −2398.88 | + | 3008.09i | −0.985121 | + | 1.23530i | −0.0132206 | + | 0.999913i | \(0.504208\pi\) |
−0.971901 | + | 0.235391i | \(0.924363\pi\) | |||||||
\(182\) | −282.460 | + | 354.193i | −0.115040 | + | 0.144256i | ||||
\(183\) | 1980.11i | 0.799859i | ||||||||
\(184\) | 597.790 | + | 476.722i | 0.239509 | + | 0.191002i | ||||
\(185\) | −2204.07 | + | 503.064i | −0.875926 | + | 0.199924i | ||||
\(186\) | −1066.49 | + | 243.419i | −0.420423 | + | 0.0959587i | ||||
\(187\) | 643.860 | − | 2820.93i | 0.251784 | − | 1.10314i | ||||
\(188\) | −607.686 | − | 292.646i | −0.235745 | − | 0.113529i | ||||
\(189\) | −1571.31 | + | 1253.08i | −0.604740 | + | 0.482264i | ||||
\(190\) | 332.579 | − | 1457.12i | 0.126988 | − | 0.556372i | ||||
\(191\) | −1433.22 | −0.542954 | −0.271477 | − | 0.962445i | \(-0.587512\pi\) | ||||
−0.271477 | + | 0.962445i | \(0.587512\pi\) | |||||||
\(192\) | 70.5343 | − | 146.466i | 0.0265124 | − | 0.0550535i | ||||
\(193\) | 1717.81 | − | 827.252i | 0.640676 | − | 0.308533i | −0.0851950 | − | 0.996364i | \(-0.527151\pi\) |
0.725871 | + | 0.687831i | \(0.241437\pi\) | |||||||
\(194\) | −3320.86 | − | 757.965i | −1.22899 | − | 0.280509i | ||||
\(195\) | −412.430 | + | 94.1345i | −0.151460 | + | 0.0345698i | ||||
\(196\) | 706.831 | 0.257591 | ||||||||
\(197\) | −71.6615 | − | 2764.10i | −0.0259171 | − | 0.999664i | ||||
\(198\) | 1643.06 | 0.589732 | ||||||||
\(199\) | 435.447 | − | 99.3880i | 0.155116 | − | 0.0354042i | −0.144258 | − | 0.989540i | \(-0.546079\pi\) |
0.299374 | + | 0.954136i | \(0.403222\pi\) | |||||||
\(200\) | 222.269 | + | 50.7315i | 0.0785840 | + | 0.0179363i | ||||
\(201\) | 1356.83 | − | 653.416i | 0.476137 | − | 0.229295i | ||||
\(202\) | 2308.23 | − | 4793.10i | 0.803994 | − | 1.66951i | ||||
\(203\) | −254.950 | −0.0881478 | ||||||||
\(204\) | 234.075 | − | 1025.55i | 0.0803359 | − | 0.351974i | ||||
\(205\) | −4169.40 | + | 3324.98i | −1.42050 | + | 1.13281i | ||||
\(206\) | 3065.64 | + | 1476.33i | 1.03686 | + | 0.499325i | ||||
\(207\) | 126.592 | − | 554.634i | 0.0425059 | − | 0.186230i | ||||
\(208\) | −768.631 | + | 175.435i | −0.256226 | + | 0.0584819i | ||||
\(209\) | 1904.82 | − | 434.763i | 0.630427 | − | 0.143891i | ||||
\(210\) | −1541.67 | − | 1229.44i | −0.506598 | − | 0.403998i | ||||
\(211\) | 1282.53i | 0.418450i | 0.977868 | + | 0.209225i | \(0.0670941\pi\) | ||||
−0.977868 | + | 0.209225i | \(0.932906\pi\) | |||||||
\(212\) | 649.081 | − | 813.922i | 0.210279 | − | 0.263681i | ||||
\(213\) | 1092.50 | − | 1369.95i | 0.351440 | − | 0.440692i | ||||
\(214\) | −522.530 | + | 1085.05i | −0.166913 | + | 0.346599i | ||||
\(215\) | −4808.92 | − | 1097.60i | −1.52542 | − | 0.348167i | ||||
\(216\) | −2038.43 | −0.642120 | ||||||||
\(217\) | − | 1000.03i | − | 0.312840i | ||||||
\(218\) | −124.259 | + | 258.025i | −0.0386048 | + | 0.0801637i | ||||
\(219\) | 612.512 | − | 294.970i | 0.188994 | − | 0.0910148i | ||||
\(220\) | 456.790 | + | 2001.33i | 0.139985 | + | 0.613316i | ||||
\(221\) | 542.440 | − | 261.225i | 0.165106 | − | 0.0795110i | ||||
\(222\) | −1954.94 | − | 2451.42i | −0.591024 | − | 0.741120i | ||||
\(223\) | 3080.37 | + | 1483.43i | 0.925009 | + | 0.445461i | 0.834857 | − | 0.550467i | \(-0.185550\pi\) |
0.0901524 | + | 0.995928i | \(0.471265\pi\) | |||||||
\(224\) | −1772.44 | − | 1413.47i | −0.528688 | − | 0.421615i | ||||
\(225\) | −37.7464 | − | 165.378i | −0.0111841 | − | 0.0490008i | ||||
\(226\) | 624.420 | + | 2735.76i | 0.183787 | + | 0.805222i | ||||
\(227\) | 1144.85 | − | 2377.31i | 0.334742 | − | 0.695099i | −0.663866 | − | 0.747852i | \(-0.731085\pi\) |
0.998608 | + | 0.0527531i | \(0.0167996\pi\) | |||||||
\(228\) | 692.496 | − | 158.058i | 0.201148 | − | 0.0459107i | ||||
\(229\) | −1682.47 | + | 3493.68i | −0.485505 | + | 1.00816i | 0.504005 | + | 0.863700i | \(0.331859\pi\) |
−0.989510 | + | 0.144461i | \(0.953855\pi\) | |||||||
\(230\) | 2074.24 | 0.594657 | ||||||||
\(231\) | 573.598 | − | 2513.10i | 0.163377 | − | 0.715800i | ||||
\(232\) | −202.170 | − | 161.225i | −0.0572117 | − | 0.0456248i | ||||
\(233\) | 565.000 | 0.158860 | 0.0794299 | − | 0.996840i | \(-0.474690\pi\) | ||||
0.0794299 | + | 0.996840i | \(0.474690\pi\) | |||||||
\(234\) | 213.159 | + | 267.293i | 0.0595497 | + | 0.0746729i | ||||
\(235\) | 1638.14 | − | 373.895i | 0.454726 | − | 0.103788i | ||||
\(236\) | −1538.71 | − | 1929.48i | −0.424412 | − | 0.532195i | ||||
\(237\) | −736.922 | − | 3228.67i | −0.201976 | − | 0.884914i | ||||
\(238\) | 2528.44 | + | 1217.63i | 0.688632 | + | 0.331628i | ||||
\(239\) | −1171.82 | + | 5134.06i | −0.317148 | + | 1.38952i | 0.525381 | + | 0.850867i | \(0.323923\pi\) |
−0.842529 | + | 0.538650i | \(0.818934\pi\) | |||||||
\(240\) | −763.604 | − | 3345.57i | −0.205377 | − | 0.899814i | ||||
\(241\) | −1098.84 | + | 876.296i | −0.293703 | + | 0.234221i | −0.759244 | − | 0.650806i | \(-0.774431\pi\) |
0.465541 | + | 0.885026i | \(0.345860\pi\) | |||||||
\(242\) | −2492.46 | + | 1987.67i | −0.662073 | + | 0.527986i | ||||
\(243\) | 1139.05 | + | 2365.26i | 0.300699 | + | 0.624408i | ||||
\(244\) | 1246.55 | + | 1563.12i | 0.327057 | + | 0.410117i | ||||
\(245\) | −1376.70 | + | 1097.88i | −0.358996 | + | 0.286290i | ||||
\(246\) | −6663.80 | − | 3209.12i | −1.72711 | − | 0.831731i | ||||
\(247\) | 317.846 | + | 253.473i | 0.0818787 | + | 0.0652961i | ||||
\(248\) | 632.396 | − | 792.999i | 0.161924 | − | 0.203046i | ||||
\(249\) | −2971.35 | − | 678.190i | −0.756230 | − | 0.172605i | ||||
\(250\) | 4639.05 | − | 2234.05i | 1.17360 | − | 0.565175i | ||||
\(251\) | 2930.97 | + | 1411.48i | 0.737055 | + | 0.354947i | 0.764455 | − | 0.644677i | \(-0.223008\pi\) |
−0.0273993 | + | 0.999625i | \(0.508723\pi\) | |||||||
\(252\) | −121.511 | + | 532.373i | −0.0303748 | + | 0.133081i | ||||
\(253\) | 1176.49 | + | 2443.01i | 0.292354 | + | 0.607079i | ||||
\(254\) | 1496.98 | + | 341.675i | 0.369798 | + | 0.0844040i | ||||
\(255\) | 1137.02 | + | 2361.04i | 0.279227 | + | 0.579820i | ||||
\(256\) | −1105.35 | − | 4842.87i | −0.269862 | − | 1.18234i | ||||
\(257\) | 1809.12 | − | 7926.28i | 0.439105 | − | 1.92384i | 0.0608383 | − | 0.998148i | \(-0.480623\pi\) |
0.378267 | − | 0.925697i | \(-0.376520\pi\) | |||||||
\(258\) | −1522.29 | − | 6669.60i | −0.367340 | − | 1.60942i | ||||
\(259\) | 2582.52 | − | 1243.67i | 0.619574 | − | 0.298371i | ||||
\(260\) | −266.316 | + | 333.949i | −0.0635238 | + | 0.0796564i | ||||
\(261\) | −42.8127 | + | 187.575i | −0.0101534 | + | 0.0444850i | ||||
\(262\) | −4780.40 | + | 2302.12i | −1.12723 | + | 0.542845i | ||||
\(263\) | −4810.37 | + | 1097.94i | −1.12783 | + | 0.257421i | −0.745436 | − | 0.666577i | \(-0.767759\pi\) |
−0.382397 | + | 0.923998i | \(0.624901\pi\) | |||||||
\(264\) | 2044.08 | − | 1630.10i | 0.476533 | − | 0.380022i | ||||
\(265\) | 2593.46i | 0.601189i | ||||||||
\(266\) | 1894.98i | 0.436799i | ||||||||
\(267\) | 582.874 | + | 280.697i | 0.133600 | + | 0.0643386i | ||||
\(268\) | 659.749 | − | 1369.98i | 0.150375 | − | 0.312258i | ||||
\(269\) | 5269.00 | − | 1202.61i | 1.19426 | − | 0.272582i | 0.421232 | − | 0.906953i | \(-0.361598\pi\) |
0.773029 | + | 0.634370i | \(0.218741\pi\) | |||||||
\(270\) | −4323.47 | + | 3447.85i | −0.974511 | + | 0.777147i | ||||
\(271\) | −4620.01 | − | 3684.33i | −1.03559 | − | 0.825857i | −0.0506452 | − | 0.998717i | \(-0.516128\pi\) |
−0.984946 | + | 0.172860i | \(0.944699\pi\) | |||||||
\(272\) | 2119.02 | + | 4400.19i | 0.472369 | + | 0.980884i | ||||
\(273\) | 483.246 | − | 232.719i | 0.107133 | − | 0.0515927i | ||||
\(274\) | 4688.58i | 1.03375i | ||||||||
\(275\) | 632.121 | + | 504.100i | 0.138612 | + | 0.110539i | ||||
\(276\) | 427.714 | + | 888.156i | 0.0932802 | + | 0.193698i | ||||
\(277\) | 2756.81 | + | 5724.57i | 0.597980 | + | 1.24172i | 0.951890 | + | 0.306439i | \(0.0991376\pi\) |
−0.353910 | + | 0.935279i | \(0.615148\pi\) | |||||||
\(278\) | −2795.38 | − | 3505.30i | −0.603078 | − | 0.756236i | ||||
\(279\) | −735.750 | − | 167.930i | −0.157879 | − | 0.0360348i | ||||
\(280\) | 1828.33 | 0.390228 | ||||||||
\(281\) | 1826.97i | 0.387858i | 0.981016 | + | 0.193929i | \(0.0621232\pi\) | ||||
−0.981016 | + | 0.193929i | \(0.937877\pi\) | |||||||
\(282\) | 1452.98 | + | 1821.98i | 0.306822 | + | 0.384743i | ||||
\(283\) | −773.508 | − | 1606.21i | −0.162475 | − | 0.337382i | 0.803798 | − | 0.594902i | \(-0.202809\pi\) |
−0.966273 | + | 0.257520i | \(0.917095\pi\) | |||||||
\(284\) | − | 1769.22i | − | 0.369661i | ||||||
\(285\) | −1103.28 | + | 1383.46i | −0.229307 | + | 0.287542i | ||||
\(286\) | −1588.65 | − | 362.599i | −0.328458 | − | 0.0749684i | ||||
\(287\) | 4215.70 | − | 5286.32i | 0.867056 | − | 1.08725i | ||||
\(288\) | −1337.57 | + | 1066.68i | −0.273671 | + | 0.218246i | ||||
\(289\) | 737.862 | + | 925.250i | 0.150186 | + | 0.188327i | ||||
\(290\) | −701.498 | −0.142046 | ||||||||
\(291\) | 3152.99 | + | 2514.43i | 0.635160 | + | 0.506523i | ||||
\(292\) | 297.829 | − | 618.449i | 0.0596889 | − | 0.123945i | ||||
\(293\) | −354.740 | + | 444.830i | −0.0707309 | + | 0.0886937i | −0.815938 | − | 0.578139i | \(-0.803779\pi\) |
0.745207 | + | 0.666833i | \(0.232351\pi\) | |||||||
\(294\) | −2200.33 | − | 1059.62i | −0.436482 | − | 0.210199i | ||||
\(295\) | 5993.89 | + | 1368.07i | 1.18297 | + | 0.270006i | ||||
\(296\) | 2834.35 | + | 646.923i | 0.556566 | + | 0.127033i | ||||
\(297\) | −6513.09 | − | 3136.54i | −1.27248 | − | 0.612796i | ||||
\(298\) | −6362.95 | + | 7978.89i | −1.23690 | + | 1.55102i | ||||
\(299\) | −244.800 | + | 508.332i | −0.0473483 | + | 0.0983197i | ||||
\(300\) | 229.807 | + | 183.265i | 0.0442264 | + | 0.0352694i | ||||
\(301\) | 6253.96 | 1.19758 | ||||||||
\(302\) | 1215.58 | + | 1524.29i | 0.231619 | + | 0.290441i | ||||
\(303\) | −4924.37 | + | 3927.06i | −0.933656 | + | 0.744566i | ||||
\(304\) | −2056.14 | + | 2578.31i | −0.387919 | + | 0.486435i | ||||
\(305\) | −4855.81 | − | 1108.31i | −0.911616 | − | 0.208070i | ||||
\(306\) | 1320.44 | − | 1655.78i | 0.246682 | − | 0.309329i | ||||
\(307\) | − | 269.200i | − | 0.0500457i | −0.999687 | − | 0.0250229i | \(-0.992034\pi\) | ||
0.999687 | − | 0.0250229i | \(-0.00796585\pi\) | |||||||
\(308\) | −1129.27 | − | 2344.96i | −0.208917 | − | 0.433820i | ||||
\(309\) | −2511.72 | − | 3149.60i | −0.462417 | − | 0.579853i | ||||
\(310\) | − | 2751.58i | − | 0.504127i | ||||||
\(311\) | 959.455 | 0.174938 | 0.0874690 | − | 0.996167i | \(-0.472122\pi\) | ||||
0.0874690 | + | 0.996167i | \(0.472122\pi\) | |||||||
\(312\) | 530.371 | + | 121.054i | 0.0962382 | + | 0.0219657i | ||||
\(313\) | −2954.82 | − | 3705.23i | −0.533599 | − | 0.669112i | 0.439835 | − | 0.898078i | \(-0.355037\pi\) |
−0.973434 | + | 0.228966i | \(0.926465\pi\) | |||||||
\(314\) | 1710.22 | + | 3551.31i | 0.307367 | + | 0.638254i | ||||
\(315\) | −590.238 | − | 1225.64i | −0.105575 | − | 0.219229i | ||||
\(316\) | −2614.29 | − | 2084.82i | −0.465396 | − | 0.371141i | ||||
\(317\) | 5089.99i | 0.901836i | 0.892565 | + | 0.450918i | \(0.148903\pi\) | ||||
−0.892565 | + | 0.450918i | \(0.851097\pi\) | |||||||
\(318\) | −3240.72 | + | 1560.65i | −0.571480 | + | 0.275210i | ||||
\(319\) | −397.885 | − | 826.217i | −0.0698348 | − | 0.145013i | ||||
\(320\) | 319.697 | + | 254.950i | 0.0558488 | + | 0.0445380i | ||||
\(321\) | 1114.76 | − | 888.994i | 0.193832 | − | 0.154576i | ||||
\(322\) | −2563.96 | + | 585.207i | −0.443739 | + | 0.101280i | ||||
\(323\) | 1092.68 | − | 2268.97i | 0.188230 | − | 0.390863i | ||||
\(324\) | −1359.38 | − | 654.643i | −0.233090 | − | 0.112250i | ||||
\(325\) | 168.232i | 0.0287133i | ||||||||
\(326\) | − | 13449.4i | − | 2.28495i | ||||||
\(327\) | 265.092 | − | 211.404i | 0.0448307 | − | 0.0357513i | ||||
\(328\) | 6685.92 | − | 1526.02i | 1.12551 | − | 0.256891i | ||||
\(329\) | −1919.42 | + | 924.343i | −0.321644 | + | 0.154896i | ||||
\(330\) | 1578.26 | − | 6914.81i | 0.263274 | − | 1.15348i | ||||
\(331\) | −2274.79 | + | 2852.50i | −0.377746 | + | 0.473679i | −0.933969 | − | 0.357355i | \(-0.883679\pi\) |
0.556223 | + | 0.831033i | \(0.312250\pi\) | |||||||
\(332\) | −2772.55 | + | 1335.19i | −0.458324 | + | 0.220717i | ||||
\(333\) | −481.339 | − | 2108.88i | −0.0792108 | − | 0.347045i | ||||
\(334\) | −2080.75 | + | 9116.35i | −0.340879 | + | 1.49349i | ||||
\(335\) | 842.920 | + | 3693.07i | 0.137473 | + | 0.602311i | ||||
\(336\) | 1887.78 | + | 3920.02i | 0.306508 | + | 0.636471i | ||||
\(337\) | −9791.88 | − | 2234.93i | −1.58278 | − | 0.361260i | −0.661436 | − | 0.750002i | \(-0.730053\pi\) |
−0.921347 | + | 0.388742i | \(0.872910\pi\) | |||||||
\(338\) | 3178.37 | + | 6599.96i | 0.511481 | + | 1.06210i | ||||
\(339\) | 739.278 | − | 3238.99i | 0.118443 | − | 0.518932i | ||||
\(340\) | 2383.93 | + | 1148.04i | 0.380255 | + | 0.183121i | ||||
\(341\) | 3240.78 | − | 1560.68i | 0.514658 | − | 0.247846i | ||||
\(342\) | 1394.19 | + | 318.216i | 0.220437 | + | 0.0503132i | ||||
\(343\) | 4208.98 | − | 5277.90i | 0.662576 | − | 0.830845i | ||||
\(344\) | 4959.26 | + | 3954.88i | 0.777283 | + | 0.619863i | ||||
\(345\) | −2212.58 | − | 1065.52i | −0.345279 | − | 0.166278i | ||||
\(346\) | 1790.74 | − | 1428.07i | 0.278239 | − | 0.221888i | ||||
\(347\) | −3775.07 | − | 4733.79i | −0.584024 | − | 0.732343i | 0.398769 | − | 0.917051i | \(-0.369438\pi\) |
−0.982793 | + | 0.184708i | \(0.940866\pi\) | |||||||
\(348\) | −144.651 | − | 300.371i | −0.0222819 | − | 0.0462688i | ||||
\(349\) | −6617.62 | + | 5277.38i | −1.01499 | + | 0.809431i | −0.981781 | − | 0.190017i | \(-0.939146\pi\) |
−0.0332137 | + | 0.999448i | \(0.510574\pi\) | |||||||
\(350\) | −613.088 | + | 488.921i | −0.0936313 | + | 0.0746684i | ||||
\(351\) | −334.711 | − | 1466.46i | −0.0508990 | − | 0.223003i | ||||
\(352\) | 1814.50 | − | 7949.86i | 0.274754 | − | 1.20378i | ||||
\(353\) | −3800.61 | − | 1830.28i | −0.573048 | − | 0.275966i | 0.124834 | − | 0.992178i | \(-0.460160\pi\) |
−0.697883 | + | 0.716212i | \(0.745874\pi\) | |||||||
\(354\) | 1897.40 | + | 8313.06i | 0.284875 | + | 1.24812i | ||||
\(355\) | 2748.02 | + | 3445.91i | 0.410844 | + | 0.515183i | ||||
\(356\) | 636.835 | − | 145.353i | 0.0948095 | − | 0.0216396i | ||||
\(357\) | −2071.59 | − | 2597.69i | −0.307115 | − | 0.385110i | ||||
\(358\) | 4484.83 | 0.662097 | ||||||||
\(359\) | 169.608 | + | 135.258i | 0.0249347 | + | 0.0198847i | 0.635878 | − | 0.771790i | \(-0.280638\pi\) |
−0.610943 | + | 0.791674i | \(0.709210\pi\) | |||||||
\(360\) | 307.024 | − | 1345.16i | 0.0449489 | − | 0.196934i | ||||
\(361\) | −5158.49 | −0.752076 | ||||||||
\(362\) | 5823.76 | − | 12093.2i | 0.845552 | − | 1.75581i | ||||
\(363\) | 3679.76 | − | 839.882i | 0.532059 | − | 0.121439i | ||||
\(364\) | 234.975 | − | 487.930i | 0.0338352 | − | 0.0702596i | ||||
\(365\) | 380.518 | + | 1667.16i | 0.0545677 | + | 0.239077i | ||||
\(366\) | −1537.14 | − | 6734.63i | −0.219528 | − | 0.961817i | ||||
\(367\) | −618.650 | − | 493.357i | −0.0879925 | − | 0.0701717i | 0.578506 | − | 0.815678i | \(-0.303636\pi\) |
−0.666498 | + | 0.745507i | \(0.732208\pi\) | |||||||
\(368\) | −4123.51 | − | 1985.78i | −0.584111 | − | 0.281293i | ||||
\(369\) | −3181.39 | − | 3989.33i | −0.448825 | − | 0.562809i | ||||
\(370\) | 7105.82 | − | 3421.98i | 0.998416 | − | 0.480812i | ||||
\(371\) | −731.697 | − | 3205.77i | −0.102393 | − | 0.448613i | ||||
\(372\) | 1178.18 | − | 567.384i | 0.164210 | − | 0.0790793i | ||||
\(373\) | 2527.44 | − | 5248.29i | 0.350847 | − | 0.728542i | −0.648622 | − | 0.761111i | \(-0.724654\pi\) |
0.999470 | + | 0.0325685i | \(0.0103687\pi\) | |||||||
\(374\) | 10094.2i | 1.39561i | ||||||||
\(375\) | −6096.08 | −0.839467 | ||||||||
\(376\) | −2106.59 | − | 480.816i | −0.288934 | − | 0.0659473i | ||||
\(377\) | 82.7903 | − | 171.916i | 0.0113101 | − | 0.0234857i | ||||
\(378\) | 4371.49 | − | 5481.67i | 0.594828 | − | 0.745891i | ||||
\(379\) | −3276.09 | + | 4108.09i | −0.444015 | + | 0.556777i | −0.952596 | − | 0.304237i | \(-0.901599\pi\) |
0.508581 | + | 0.861014i | \(0.330170\pi\) | |||||||
\(380\) | 1786.67i | 0.241195i | ||||||||
\(381\) | −1421.31 | − | 1133.45i | −0.191117 | − | 0.152411i | ||||
\(382\) | 4874.58 | − | 1112.59i | 0.652893 | − | 0.149019i | ||||
\(383\) | −8128.04 | + | 1855.17i | −1.08440 | + | 0.247506i | −0.727132 | − | 0.686497i | \(-0.759147\pi\) |
−0.357264 | + | 0.934004i | \(0.616290\pi\) | |||||||
\(384\) | −1391.63 | + | 6097.13i | −0.184938 | + | 0.810268i | ||||
\(385\) | 5841.79 | + | 2813.26i | 0.773312 | + | 0.372408i | ||||
\(386\) | −5200.31 | + | 4147.11i | −0.685722 | + | 0.546845i | ||||
\(387\) | 1050.20 | − | 4601.23i | 0.137945 | − | 0.604377i | ||||
\(388\) | 4071.91 | 0.532784 | ||||||||
\(389\) | −2868.45 | + | 5956.40i | −0.373872 | + | 0.776353i | −0.999994 | − | 0.00337190i | \(-0.998927\pi\) |
0.626123 | + | 0.779725i | \(0.284641\pi\) | |||||||
\(390\) | 1329.66 | − | 640.329i | 0.172640 | − | 0.0831392i | ||||
\(391\) | 3407.42 | + | 777.722i | 0.440718 | + | 0.100591i | ||||
\(392\) | 2207.63 | − | 503.878i | 0.284445 | − | 0.0649226i | ||||
\(393\) | 6281.82 | 0.806301 | ||||||||
\(394\) | 2389.46 | + | 9345.44i | 0.305532 | + | 1.19497i | ||||
\(395\) | 8330.10 | 1.06110 | ||||||||
\(396\) | −1914.90 | + | 437.063i | −0.242998 | + | 0.0554627i | ||||
\(397\) | −10174.6 | − | 2322.29i | −1.28627 | − | 0.293583i | −0.475900 | − | 0.879499i | \(-0.657878\pi\) |
−0.810372 | + | 0.585916i | \(0.800735\pi\) | |||||||
\(398\) | −1403.86 | + | 676.064i | −0.176807 | + | 0.0851458i | ||||
\(399\) | 973.439 | − | 2021.37i | 0.122138 | − | 0.253621i | ||||
\(400\) | −1364.67 | −0.170584 | ||||||||
\(401\) | −2151.02 | + | 9424.25i | −0.267873 | + | 1.17363i | 0.644610 | + | 0.764512i | \(0.277020\pi\) |
−0.912483 | + | 0.409116i | \(0.865837\pi\) | |||||||
\(402\) | −4107.53 | + | 3275.65i | −0.509614 | + | 0.406404i | ||||
\(403\) | 674.329 | + | 324.740i | 0.0833516 | + | 0.0401400i | ||||
\(404\) | −1415.13 | + | 6200.11i | −0.174271 | + | 0.763532i | ||||
\(405\) | 3664.49 | − | 836.396i | 0.449605 | − | 0.102619i | ||||
\(406\) | 867.120 | − | 197.915i | 0.105996 | − | 0.0241929i | ||||
\(407\) | 8060.75 | + | 6428.23i | 0.981711 | + | 0.782889i | ||||
\(408\) | − | 3369.94i | − | 0.408914i | ||||||
\(409\) | −8541.33 | + | 10710.5i | −1.03262 | + | 1.29486i | −0.0780263 | + | 0.996951i | \(0.524862\pi\) |
−0.954593 | + | 0.297913i | \(0.903710\pi\) | |||||||
\(410\) | 11599.5 | − | 14545.4i | 1.39722 | − | 1.75206i | ||||
\(411\) | 2408.50 | − | 5001.29i | 0.289057 | − | 0.600233i | ||||
\(412\) | −3965.56 | − | 905.112i | −0.474196 | − | 0.108232i | ||||
\(413\) | −7795.01 | −0.928734 | ||||||||
\(414\) | 1984.66i | 0.235605i | ||||||||
\(415\) | 3326.24 | − | 6907.00i | 0.393442 | − | 0.816991i | ||||
\(416\) | 1528.69 | − | 736.177i | 0.180168 | − | 0.0867645i | ||||
\(417\) | 1181.17 | + | 5175.06i | 0.138711 | + | 0.607731i | ||||
\(418\) | −6141.05 | + | 2957.37i | −0.718585 | + | 0.346052i | ||||
\(419\) | 7268.45 | + | 9114.35i | 0.847464 | + | 1.06269i | 0.997261 | + | 0.0739690i | \(0.0235666\pi\) |
−0.149797 | + | 0.988717i | \(0.547862\pi\) | |||||||
\(420\) | 2123.78 | + | 1022.76i | 0.246738 | + | 0.118823i | ||||
\(421\) | −126.860 | − | 101.167i | −0.0146859 | − | 0.0117116i | 0.616119 | − | 0.787653i | \(-0.288704\pi\) |
−0.630805 | + | 0.775941i | \(0.717275\pi\) | |||||||
\(422\) | −995.610 | − | 4362.05i | −0.114847 | − | 0.503179i | ||||
\(423\) | 357.748 | + | 1567.40i | 0.0411213 | + | 0.180164i | ||||
\(424\) | 1447.04 | − | 3004.82i | 0.165742 | − | 0.344167i | ||||
\(425\) | 1016.01 | − | 231.897i | 0.115961 | − | 0.0264674i | ||||
\(426\) | −2652.26 | + | 5507.48i | −0.301649 | + | 0.626381i | ||||
\(427\) | 6314.95 | 0.715695 | ||||||||
\(428\) | 320.354 | − | 1403.56i | 0.0361796 | − | 0.158513i | ||||
\(429\) | 1508.35 | + | 1202.87i | 0.169752 | + | 0.135373i | ||||
\(430\) | 17207.8 | 1.92985 | ||||||||
\(431\) | −4119.80 | − | 5166.07i | −0.460426 | − | 0.577356i | 0.496372 | − | 0.868110i | \(-0.334665\pi\) |
−0.956798 | + | 0.290754i | \(0.906094\pi\) | |||||||
\(432\) | 11895.7 | − | 2715.12i | 1.32485 | − | 0.302387i | ||||
\(433\) | −2318.76 | − | 2907.64i | −0.257350 | − | 0.322707i | 0.636325 | − | 0.771421i | \(-0.280454\pi\) |
−0.893675 | + | 0.448714i | \(0.851882\pi\) | |||||||
\(434\) | 776.307 | + | 3401.22i | 0.0858616 | + | 0.376184i | ||||
\(435\) | 748.286 | + | 360.355i | 0.0824771 | + | 0.0397189i | ||||
\(436\) | 76.1806 | − | 333.769i | 0.00836786 | − | 0.0366620i | ||||
\(437\) | 525.153 | + | 2300.84i | 0.0574862 | + | 0.251863i | ||||
\(438\) | −1854.26 | + | 1478.72i | −0.202283 | + | 0.161315i | ||||
\(439\) | −6207.33 | + | 4950.18i | −0.674851 | + | 0.538176i | −0.899859 | − | 0.436181i | \(-0.856331\pi\) |
0.225008 | + | 0.974357i | \(0.427759\pi\) | |||||||
\(440\) | 2853.37 | + | 5925.08i | 0.309157 | + | 0.641971i | ||||
\(441\) | −1050.47 | − | 1317.24i | −0.113429 | − | 0.142235i | ||||
\(442\) | −1642.13 | + | 1309.55i | −0.176715 | + | 0.140925i | ||||
\(443\) | 2660.85 | + | 1281.40i | 0.285374 | + | 0.137429i | 0.571095 | − | 0.820884i | \(-0.306519\pi\) |
−0.285721 | + | 0.958313i | \(0.592233\pi\) | |||||||
\(444\) | 2930.48 | + | 2336.98i | 0.313231 | + | 0.249793i | ||||
\(445\) | −1014.60 | + | 1272.26i | −0.108082 | + | 0.135531i | ||||
\(446\) | −11628.3 | − | 2654.09i | −1.23457 | − | 0.281782i | ||||
\(447\) | 10886.1 | − | 5242.45i | 1.15189 | − | 0.554719i | ||||
\(448\) | −467.107 | − | 224.947i | −0.0492606 | − | 0.0237226i | ||||
\(449\) | −2906.87 | + | 12735.8i | −0.305532 | + | 1.33862i | 0.556111 | + | 0.831108i | \(0.312293\pi\) |
−0.861643 | + | 0.507515i | \(0.830564\pi\) | |||||||
\(450\) | 256.761 | + | 533.170i | 0.0268974 | + | 0.0558531i | ||||
\(451\) | 23710.6 | + | 5411.78i | 2.47558 | + | 0.565035i | ||||
\(452\) | −1455.46 | − | 3022.29i | −0.151458 | − | 0.314506i | ||||
\(453\) | −513.638 | − | 2250.39i | −0.0532733 | − | 0.233406i | ||||
\(454\) | −2048.32 | + | 8974.28i | −0.211745 | + | 0.927717i | ||||
\(455\) | 300.212 | + | 1315.32i | 0.0309323 | + | 0.135523i | ||||
\(456\) | 2050.19 | − | 987.318i | 0.210546 | − | 0.101393i | ||||
\(457\) | 2723.63 | − | 3415.32i | 0.278788 | − | 0.349589i | −0.622648 | − | 0.782502i | \(-0.713943\pi\) |
0.901435 | + | 0.432914i | \(0.142514\pi\) | |||||||
\(458\) | 3010.20 | − | 13188.6i | 0.307113 | − | 1.34555i | ||||
\(459\) | −8395.07 | + | 4042.85i | −0.853700 | + | 0.411120i | ||||
\(460\) | −2417.41 | + | 551.759i | −0.245027 | + | 0.0559259i | ||||
\(461\) | −5868.22 | + | 4679.75i | −0.592864 | + | 0.472793i | −0.873369 | − | 0.487059i | \(-0.838070\pi\) |
0.280505 | + | 0.959853i | \(0.409498\pi\) | |||||||
\(462\) | 8992.67i | 0.905577i | ||||||||
\(463\) | − | 9274.72i | − | 0.930956i | −0.885059 | − | 0.465478i | \(-0.845882\pi\) | ||
0.885059 | − | 0.465478i | \(-0.154118\pi\) | |||||||
\(464\) | 1394.55 | + | 671.581i | 0.139527 | + | 0.0671926i | ||||
\(465\) | −1413.47 | + | 2935.10i | −0.140964 | + | 0.292714i | ||||
\(466\) | −1921.64 | + | 438.602i | −0.191026 | + | 0.0436005i | ||||
\(467\) | 8286.68 | − | 6608.40i | 0.821117 | − | 0.654819i | −0.120047 | − | 0.992768i | \(-0.538305\pi\) |
0.941164 | + | 0.337949i | \(0.109733\pi\) | |||||||
\(468\) | −319.527 | − | 254.814i | −0.0315601 | − | 0.0251684i | ||||
\(469\) | −2083.86 | − | 4327.19i | −0.205168 | − | 0.426036i | ||||
\(470\) | −5281.29 | + | 2543.34i | −0.518315 | + | 0.249607i | ||||
\(471\) | − | 4666.70i | − | 0.456540i | ||||||
\(472\) | −6181.27 | − | 4929.40i | −0.602789 | − | 0.480708i | ||||
\(473\) | 9760.17 | + | 20267.2i | 0.948781 | + | 1.97016i | ||||
\(474\) | 5012.75 | + | 10409.1i | 0.485745 | + | 1.00866i | ||||
\(475\) | 438.748 | + | 550.172i | 0.0423813 | + | 0.0531445i | ||||
\(476\) | −3270.67 | − | 746.508i | −0.314938 | − | 0.0718827i | ||||
\(477\) | −2481.46 | −0.238193 | ||||||||
\(478\) | − | 18371.3i | − | 1.75792i | ||||||
\(479\) | 8141.92 | + | 10209.6i | 0.776646 | + | 0.973884i | 1.00000 | 0.000853781i | \(-0.000271767\pi\) | |
−0.223353 | + | 0.974738i | \(0.571700\pi\) | |||||||
\(480\) | 3204.31 | + | 6653.81i | 0.304700 | + | 0.632715i | ||||
\(481\) | 2145.28i | 0.203360i | ||||||||
\(482\) | 3057.05 | − | 3833.42i | 0.288889 | − | 0.362256i | ||||
\(483\) | 3035.59 | + | 692.853i | 0.285971 | + | 0.0652710i | ||||
\(484\) | 2376.11 | − | 2979.54i | 0.223150 | − | 0.279822i | ||||
\(485\) | −7930.89 | + | 6324.67i | −0.742522 | + | 0.592141i | ||||
\(486\) | −5710.17 | − | 7160.33i | −0.532960 | − | 0.668311i | ||||
\(487\) | 5117.91 | 0.476210 | 0.238105 | − | 0.971239i | \(-0.423474\pi\) | ||||
0.238105 | + | 0.971239i | \(0.423474\pi\) | |||||||
\(488\) | 5007.62 | + | 3993.44i | 0.464517 | + | 0.370440i | ||||
\(489\) | −6908.89 | + | 14346.5i | −0.638918 | + | 1.32673i | ||||
\(490\) | 3830.06 | − | 4802.75i | 0.353112 | − | 0.442788i | ||||
\(491\) | −14992.9 | − | 7220.19i | −1.37804 | − | 0.663631i | −0.409462 | − | 0.912327i | \(-0.634284\pi\) |
−0.968582 | + | 0.248696i | \(0.919998\pi\) | |||||||
\(492\) | 8619.96 | + | 1967.45i | 0.789874 | + | 0.180284i | ||||
\(493\) | −1152.38 | − | 263.022i | −0.105275 | − | 0.0240282i | ||||
\(494\) | −1277.80 | − | 615.358i | −0.116379 | − | 0.0560451i | ||||
\(495\) | 3050.79 | − | 3825.57i | 0.277016 | − | 0.347367i | ||||
\(496\) | −2634.23 | + | 5470.04i | −0.238469 | + | 0.495186i | ||||
\(497\) | −4369.02 | − | 3484.18i | −0.394321 | − | 0.314460i | ||||
\(498\) | 10632.4 | 0.956727 | ||||||||
\(499\) | −10933.1 | − | 13709.6i | −0.980825 | − | 1.22992i | −0.973204 | − | 0.229945i | \(-0.926145\pi\) |
−0.00762150 | − | 0.999971i | \(-0.502426\pi\) | |||||||
\(500\) | −4812.30 | + | 3837.68i | −0.430426 | + | 0.343253i | ||||
\(501\) | 6902.54 | − | 8655.52i | 0.615535 | − | 0.771856i | ||||
\(502\) | −11064.3 | − | 2525.36i | −0.983715 | − | 0.224527i | ||||
\(503\) | 2341.57 | − | 2936.24i | 0.207565 | − | 0.260279i | −0.667141 | − | 0.744931i | \(-0.732482\pi\) |
0.874707 | + | 0.484652i | \(0.161054\pi\) | |||||||
\(504\) | 1749.37i | 0.154610i | ||||||||
\(505\) | −6874.01 | − | 14274.0i | −0.605722 | − | 1.25779i | ||||
\(506\) | −5897.89 | − | 7395.72i | −0.518169 | − | 0.649763i | ||||
\(507\) | − | 8672.87i | − | 0.759715i | ||||||
\(508\) | −1835.54 | −0.160313 | ||||||||
\(509\) | −2159.91 | − | 492.986i | −0.188087 | − | 0.0429297i | 0.127440 | − | 0.991846i | \(-0.459324\pi\) |
−0.315527 | + | 0.948917i | \(0.602181\pi\) | |||||||
\(510\) | −5700.00 | − | 7147.57i | −0.494902 | − | 0.620588i | ||||
\(511\) | −940.715 | − | 1953.41i | −0.0814379 | − | 0.169108i | ||||
\(512\) | 2263.17 | + | 4699.53i | 0.195350 | + | 0.405648i | ||||
\(513\) | −4919.14 | − | 3922.88i | −0.423363 | − | 0.337621i | ||||
\(514\) | 28362.8i | 2.43391i | ||||||||
\(515\) | 9129.59 | − | 4396.58i | 0.781161 | − | 0.376187i | ||||
\(516\) | 3548.31 | + | 7368.13i | 0.302724 | + | 0.628612i | ||||
\(517\) | −5991.03 | − | 4777.69i | −0.509643 | − | 0.406427i | ||||
\(518\) | −7818.04 | + | 6234.68i | −0.663137 | + | 0.528834i | ||||
\(519\) | −2643.77 | + | 603.422i | −0.223600 | + | 0.0510353i | ||||
\(520\) | −593.717 | + | 1232.87i | −0.0500696 | + | 0.103971i | ||||
\(521\) | −2540.83 | − | 1223.60i | −0.213658 | − | 0.102892i | 0.323994 | − | 0.946059i | \(-0.394974\pi\) |
−0.537652 | + | 0.843167i | \(0.680689\pi\) | |||||||
\(522\) | − | 671.202i | − | 0.0562792i | ||||||
\(523\) | − | 5117.19i | − | 0.427838i | −0.976851 | − | 0.213919i | \(-0.931377\pi\) | ||
0.976851 | − | 0.213919i | \(-0.0686228\pi\) | |||||||
\(524\) | 4958.93 | − | 3954.62i | 0.413420 | − | 0.329691i | ||||
\(525\) | 905.136 | − | 206.591i | 0.0752445 | − | 0.0171741i | ||||
\(526\) | 15508.4 | − | 7468.46i | 1.28555 | − | 0.619088i | ||||
\(527\) | 1031.69 | − | 4520.12i | 0.0852771 | − | 0.373623i | ||||
\(528\) | −9757.45 | + | 12235.5i | −0.804239 | + | 1.00848i | ||||
\(529\) | 8011.16 | − | 3857.97i | 0.658433 | − | 0.317085i | ||||
\(530\) | −2013.27 | − | 8820.71i | −0.165002 | − | 0.722919i | ||||
\(531\) | −1308.98 | + | 5735.03i | −0.106977 | + | 0.468699i | ||||
\(532\) | −504.076 | − | 2208.50i | −0.0410798 | − | 0.179982i | ||||
\(533\) | 2195.66 | + | 4559.33i | 0.178432 | + | 0.370519i | ||||
\(534\) | −2200.34 | − | 502.212i | −0.178311 | − | 0.0406982i | ||||
\(535\) | 1556.12 | + | 3231.31i | 0.125751 | + | 0.261125i | ||||
\(536\) | 1083.96 | − | 4749.16i | 0.0873510 | − | 0.382710i | ||||
\(537\) | −4783.96 | − | 2303.83i | −0.384438 | − | 0.185135i | ||||
\(538\) | −16987.0 | + | 8180.51i | −1.36127 | + | 0.655551i | ||||
\(539\) | 7829.02 | + | 1786.92i | 0.625639 | + | 0.142798i | ||||
\(540\) | 4121.63 | − | 5168.36i | 0.328457 | − | 0.411872i | ||||
\(541\) | −3173.20 | − | 2530.54i | −0.252174 | − | 0.201102i | 0.489241 | − | 0.872149i | \(-0.337274\pi\) |
−0.741416 | + | 0.671046i | \(0.765845\pi\) | |||||||
\(542\) | 18573.4 | + | 8944.46i | 1.47195 | + | 0.708851i | ||||
\(543\) | −12424.4 | + | 9908.10i | −0.981917 | + | 0.783052i | ||||
\(544\) | −6553.21 | − | 8217.46i | −0.516482 | − | 0.647648i | ||||
\(545\) | 370.047 | + | 768.410i | 0.0290845 | + | 0.0603946i | ||||
\(546\) | −1462.93 | + | 1166.65i | −0.114666 | + | 0.0914430i | ||||
\(547\) | 2167.92 | − | 1728.86i | 0.169458 | − | 0.135138i | −0.535089 | − | 0.844796i | \(-0.679722\pi\) |
0.704547 | + | 0.709658i | \(0.251150\pi\) | |||||||
\(548\) | −1247.19 | − | 5464.30i | −0.0972214 | − | 0.425955i | ||||
\(549\) | 1060.44 | − | 4646.10i | 0.0824382 | − | 0.361185i | ||||
\(550\) | −2541.26 | − | 1223.80i | −0.197017 | − | 0.0948785i | ||||
\(551\) | −177.604 | − | 778.136i | −0.0137318 | − | 0.0601628i | ||||
\(552\) | 1969.01 | + | 2469.06i | 0.151824 | + | 0.190381i | ||||
\(553\) | −10296.8 | + | 2350.18i | −0.791800 | + | 0.180723i | ||||
\(554\) | −13820.2 | − | 17330.0i | −1.05986 | − | 1.32902i | ||||
\(555\) | −9337.61 | −0.714161 | ||||||||
\(556\) | 4190.30 | + | 3341.65i | 0.319619 | + | 0.254888i | ||||
\(557\) | −5545.64 | + | 24297.0i | −0.421861 | + | 1.84829i | 0.0996150 | + | 0.995026i | \(0.468239\pi\) |
−0.521476 | + | 0.853266i | \(0.674618\pi\) | |||||||
\(558\) | 2632.75 | 0.199737 | ||||||||
\(559\) | −2030.86 | + | 4217.12i | −0.153660 | + | 0.319079i | ||||
\(560\) | −10669.6 | + | 2435.27i | −0.805133 | + | 0.183766i | ||||
\(561\) | 5185.33 | − | 10767.5i | 0.390241 | − | 0.810343i | ||||
\(562\) | −1418.26 | − | 6213.79i | −0.106451 | − | 0.466393i | ||||
\(563\) | −5435.43 | − | 23814.2i | −0.406885 | − | 1.78268i | −0.598410 | − | 0.801190i | \(-0.704201\pi\) |
0.191525 | − | 0.981488i | \(-0.438657\pi\) | |||||||
\(564\) | −2178.04 | − | 1736.93i | −0.162610 | − | 0.129677i | ||||
\(565\) | 7529.15 | + | 3625.85i | 0.560626 | + | 0.269983i | ||||
\(566\) | 3877.68 | + | 4862.46i | 0.287970 | + | 0.361103i | ||||
\(567\) | −4293.70 | + | 2067.74i | −0.318022 | + | 0.153151i | ||||
\(568\) | −1261.22 | − | 5525.76i | −0.0931683 | − | 0.408197i | ||||
\(569\) | 20255.8 | − | 9754.70i | 1.49239 | − | 0.718696i | 0.503040 | − | 0.864263i | \(-0.332215\pi\) |
0.989348 | + | 0.145567i | \(0.0465007\pi\) | |||||||
\(570\) | 2678.43 | − | 5561.81i | 0.196819 | − | 0.408699i | ||||
\(571\) | 19233.7i | 1.40964i | 0.709387 | + | 0.704819i | \(0.248972\pi\) | ||||
−0.709387 | + | 0.704819i | \(0.751028\pi\) | |||||||
\(572\) | 1947.95 | 0.142391 | ||||||||
\(573\) | −5771.23 | − | 1317.25i | −0.420762 | − | 0.0960362i | ||||
\(574\) | −10234.5 | + | 21252.1i | −0.744214 | + | 1.54538i | ||||
\(575\) | −608.905 | + | 763.543i | −0.0441619 | + | 0.0553773i | ||||
\(576\) | −243.940 | + | 305.891i | −0.0176461 | + | 0.0221275i | ||||
\(577\) | 1209.67i | 0.0872779i | 0.999047 | + | 0.0436390i | \(0.0138951\pi\) | ||||
−0.999047 | + | 0.0436390i | \(0.986105\pi\) | |||||||
\(578\) | −3227.83 | − | 2574.11i | −0.232284 | − | 0.185240i | ||||
\(579\) | 7677.50 | − | 1752.34i | 0.551064 | − | 0.125777i | ||||
\(580\) | 817.559 | − | 186.603i | 0.0585298 | − | 0.0133591i | ||||
\(581\) | −2162.87 | + | 9476.17i | −0.154443 | + | 0.676657i | ||||
\(582\) | −12675.7 | − | 6104.28i | −0.902789 | − | 0.434760i | ||||
\(583\) | 9247.03 | − | 7374.26i | 0.656900 | − | 0.523861i | ||||
\(584\) | 489.332 | − | 2143.90i | 0.0346725 | − | 0.151910i | ||||
\(585\) | 1018.13 | 0.0719566 | ||||||||
\(586\) | 861.204 | − | 1788.31i | 0.0607099 | − | 0.126065i | ||||
\(587\) | −11522.0 | + | 5548.69i | −0.810158 | + | 0.390151i | −0.792636 | − | 0.609695i | \(-0.791292\pi\) |
−0.0175218 | + | 0.999846i | \(0.505578\pi\) | |||||||
\(588\) | 2846.24 | + | 649.635i | 0.199620 | + | 0.0455620i | ||||
\(589\) | 3052.19 | − | 696.642i | 0.213520 | − | 0.0487345i | ||||
\(590\) | −21448.0 | −1.49661 | ||||||||
\(591\) | 2251.87 | − | 11196.2i | 0.156733 | − | 0.779274i | ||||
\(592\) | −17402.2 | −1.20815 | ||||||||
\(593\) | 7609.14 | − | 1736.74i | 0.526931 | − | 0.120268i | 0.0492238 | − | 0.998788i | \(-0.484325\pi\) |
0.477707 | + | 0.878519i | \(0.341468\pi\) | |||||||
\(594\) | 24586.8 | + | 5611.77i | 1.69833 | + | 0.387632i | ||||
\(595\) | 7529.80 | − | 3626.16i | 0.518809 | − | 0.249845i | ||||
\(596\) | 5293.26 | − | 10991.6i | 0.363793 | − | 0.755423i | ||||
\(597\) | 1844.79 | 0.126469 | ||||||||
\(598\) | 437.986 | − | 1918.94i | 0.0299508 | − | 0.131223i | ||||
\(599\) | −6716.78 | + | 5356.45i | −0.458164 | + | 0.365373i | −0.825207 | − | 0.564831i | \(-0.808942\pi\) |
0.367043 | + | 0.930204i | \(0.380370\pi\) | |||||||
\(600\) | 848.397 | + | 408.567i | 0.0577261 | + | 0.0277994i | ||||
\(601\) | 547.602 | − | 2399.20i | 0.0371667 | − | 0.162838i | −0.952939 | − | 0.303163i | \(-0.901957\pi\) |
0.990106 | + | 0.140325i | \(0.0448146\pi\) | |||||||
\(602\) | −21270.6 | + | 4854.87i | −1.44007 | + | 0.328687i | ||||
\(603\) | −3533.58 | + | 806.517i | −0.238638 | + | 0.0544675i | ||||
\(604\) | −1822.17 | − | 1453.13i | −0.122753 | − | 0.0978925i | ||||
\(605\) | 9493.94i | 0.637989i | ||||||||
\(606\) | 13699.9 | − | 17179.2i | 0.918353 | − | 1.15158i | ||||
\(607\) | 174.680 | − | 219.042i | 0.0116805 | − | 0.0146469i | −0.775957 | − | 0.630786i | \(-0.782733\pi\) |
0.787637 | + | 0.616139i | \(0.211304\pi\) | |||||||
\(608\) | 3079.35 | − | 6394.34i | 0.205402 | − | 0.426521i | ||||
\(609\) | −1026.62 | − | 234.320i | −0.0683101 | − | 0.0155913i | ||||
\(610\) | 17375.6 | 1.15331 | ||||||||
\(611\) | − | 1594.45i | − | 0.105572i | ||||||
\(612\) | −1098.46 | + | 2280.97i | −0.0725532 | + | 0.150658i | ||||
\(613\) | −6035.91 | + | 2906.74i | −0.397697 | + | 0.191521i | −0.622033 | − | 0.782991i | \(-0.713693\pi\) |
0.224336 | + | 0.974512i | \(0.427979\pi\) | |||||||
\(614\) | 208.976 | + | 915.584i | 0.0137355 | + | 0.0601791i | ||||
\(615\) | −19845.1 | + | 9556.88i | −1.30119 | + | 0.626619i | ||||
\(616\) | −5198.70 | − | 6518.96i | −0.340035 | − | 0.426390i | ||||
\(617\) | −13427.1 | − | 6466.17i | −0.876104 | − | 0.421910i | −0.0589043 | − | 0.998264i | \(-0.518761\pi\) |
−0.817200 | + | 0.576354i | \(0.804475\pi\) | |||||||
\(618\) | 10987.7 | + | 8762.40i | 0.715195 | + | 0.570349i | ||||
\(619\) | −6339.98 | − | 27777.3i | −0.411672 | − | 1.80365i | −0.576231 | − | 0.817287i | \(-0.695477\pi\) |
0.164558 | − | 0.986367i | \(-0.447380\pi\) | |||||||
\(620\) | 731.937 | + | 3206.82i | 0.0474118 | + | 0.207724i | ||||
\(621\) | 3788.64 | − | 7867.20i | 0.244820 | − | 0.508373i | ||||
\(622\) | −3263.24 | + | 744.813i | −0.210360 | + | 0.0480133i | ||||
\(623\) | 895.196 | − | 1858.89i | 0.0575687 | − | 0.119543i | ||||
\(624\) | −3256.33 | −0.208906 | ||||||||
\(625\) | 2937.44 | − | 12869.8i | 0.187996 | − | 0.823664i | ||||
\(626\) | 12926.1 | + | 10308.2i | 0.825288 | + | 0.658145i | ||||
\(627\) | 8069.83 | 0.514000 | ||||||||
\(628\) | −2937.84 | − | 3683.94i | −0.186676 | − | 0.234085i | ||||
\(629\) | 12956.0 | − | 2957.13i | 0.821289 | − | 0.187454i | ||||
\(630\) | 2958.93 | + | 3710.38i | 0.187122 | + | 0.234643i | ||||
\(631\) | −5598.86 | − | 24530.2i | −0.353229 | − | 1.54760i | −0.769675 | − | 0.638436i | \(-0.779582\pi\) |
0.416447 | − | 0.909160i | \(-0.363275\pi\) | |||||||
\(632\) | −9651.37 | − | 4647.85i | −0.607454 | − | 0.292534i | ||||
\(633\) | −1178.75 | + | 5164.43i | −0.0740142 | + | 0.324277i | ||||
\(634\) | −3951.29 | − | 17311.7i | −0.247517 | − | 1.08444i | ||||
\(635\) | 3575.09 | − | 2851.04i | 0.223422 | − | 0.178173i | ||||
\(636\) | 3361.75 | − | 2680.91i | 0.209595 | − | 0.167146i | ||||
\(637\) | 724.986 | + | 1505.45i | 0.0450942 | + | 0.0936391i | ||||
\(638\) | 1994.64 | + | 2501.20i | 0.123775 | + | 0.155209i | ||||
\(639\) | −3297.09 | + | 2629.34i | −0.204117 | + | 0.162778i | ||||
\(640\) | −14173.0 | − | 6825.36i | −0.875371 | − | 0.421556i | ||||
\(641\) | 1679.74 | + | 1339.54i | 0.103503 | + | 0.0825410i | 0.673874 | − | 0.738846i | \(-0.264629\pi\) |
−0.570371 | + | 0.821387i | \(0.693200\pi\) | |||||||
\(642\) | −3101.35 | + | 3888.97i | −0.190655 | + | 0.239074i | ||||
\(643\) | 24711.0 | + | 5640.12i | 1.51556 | + | 0.345917i | 0.897784 | − | 0.440436i | \(-0.145176\pi\) |
0.617777 | + | 0.786353i | \(0.288033\pi\) | |||||||
\(644\) | 2832.49 | − | 1364.06i | 0.173317 | − | 0.0834649i | ||||
\(645\) | −18355.5 | − | 8839.57i | −1.12054 | − | 0.539624i | ||||
\(646\) | −1954.98 | + | 8565.31i | −0.119067 | + | 0.521668i | ||||
\(647\) | −2725.97 | − | 5660.54i | −0.165640 | − | 0.343955i | 0.801583 | − | 0.597883i | \(-0.203991\pi\) |
−0.967223 | + | 0.253929i | \(0.918277\pi\) | |||||||
\(648\) | −4712.40 | − | 1075.58i | −0.285680 | − | 0.0652046i | ||||
\(649\) | −12165.2 | − | 25261.3i | −0.735786 | − | 1.52788i | ||||
\(650\) | −130.596 | − | 572.180i | −0.00788063 | − | 0.0345273i | ||||
\(651\) | 919.105 | − | 4026.86i | 0.0553342 | − | 0.242435i | ||||
\(652\) | 3577.63 | + | 15674.6i | 0.214894 | + | 0.941510i | ||||
\(653\) | −9990.83 | + | 4811.33i | −0.598731 | + | 0.288334i | −0.708598 | − | 0.705613i | \(-0.750672\pi\) |
0.109867 | + | 0.993946i | \(0.464958\pi\) | |||||||
\(654\) | −737.505 | + | 924.802i | −0.0440959 | + | 0.0552945i | ||||
\(655\) | −3516.06 | + | 15404.8i | −0.209746 | + | 0.918958i | ||||
\(656\) | −36984.5 | + | 17810.8i | −2.20122 | + | 1.06005i | ||||
\(657\) | −1595.16 | + | 364.084i | −0.0947230 | + | 0.0216199i | ||||
\(658\) | 5810.64 | − | 4633.83i | 0.344259 | − | 0.274537i | ||||
\(659\) | − | 1879.31i | − | 0.111089i | −0.998456 | − | 0.0555444i | \(-0.982311\pi\) | ||
0.998456 | − | 0.0555444i | \(-0.0176894\pi\) | |||||||
\(660\) | 8478.69i | 0.500049i | ||||||||
\(661\) | 2415.70 | + | 1163.34i | 0.142148 | + | 0.0684549i | 0.503606 | − | 0.863934i | \(-0.332006\pi\) |
−0.361458 | + | 0.932389i | \(0.617721\pi\) | |||||||
\(662\) | 5522.52 | − | 11467.6i | 0.324228 | − | 0.673266i | ||||
\(663\) | 2424.36 | − | 553.345i | 0.142013 | − | 0.0324135i | ||||
\(664\) | −7707.65 | + | 6146.64i | −0.450474 | + | 0.359241i | ||||
\(665\) | 4412.13 | + | 3518.55i | 0.257286 | + | 0.205178i | ||||
\(666\) | 3274.20 | + | 6798.94i | 0.190499 | + | 0.395576i | ||||
\(667\) | 997.992 | − | 480.608i | 0.0579346 | − | 0.0278999i | ||||
\(668\) | − | 11178.1i | − | 0.647447i | ||||||
\(669\) | 11040.5 | + | 8804.52i | 0.638044 | + | 0.508823i | ||||
\(670\) | −5733.77 | − | 11906.3i | −0.330619 | − | 0.686538i | ||||
\(671\) | 9855.35 | + | 20464.8i | 0.567007 | + | 1.17740i | ||||
\(672\) | −5838.09 | − | 7320.73i | −0.335133 | − | 0.420243i | ||||
\(673\) | −31865.2 | − | 7273.03i | −1.82513 | − | 0.416575i | −0.834259 | − | 0.551372i | \(-0.814104\pi\) |
−0.990873 | + | 0.134798i | \(0.956961\pi\) | |||||||
\(674\) | 35038.5 | 2.00242 | ||||||||
\(675\) | − | 2603.64i | − | 0.148466i | ||||||
\(676\) | −5459.86 | − | 6846.44i | −0.310643 | − | 0.389534i | ||||
\(677\) | −5791.06 | − | 12025.3i | −0.328757 | − | 0.682671i | 0.669429 | − | 0.742876i | \(-0.266539\pi\) |
−0.998186 | + | 0.0602053i | \(0.980824\pi\) | |||||||
\(678\) | 11590.1i | 0.656514i | ||||||||
\(679\) | 8018.97 | − | 10055.5i | 0.453225 | − | 0.568326i | ||||
\(680\) | 8264.08 | + | 1886.22i | 0.466048 | + | 0.106372i | ||||
\(681\) | 6794.97 | − | 8520.63i | 0.382355 | − | 0.479458i | ||||
\(682\) | −9810.81 | + | 7823.86i | −0.550843 | + | 0.439283i | ||||
\(683\) | 15405.3 | + | 19317.6i | 0.863055 | + | 1.08224i | 0.995842 | + | 0.0910922i | \(0.0290358\pi\) |
−0.132787 | + | 0.991145i | \(0.542393\pi\) | |||||||
\(684\) | −1709.51 | −0.0955624 | ||||||||
\(685\) | 10916.5 | + | 8705.65i | 0.608904 | + | 0.485585i | ||||
\(686\) | −10218.2 | + | 21218.2i | −0.568704 | + | 1.18093i | ||||
\(687\) | −9985.87 | + | 12521.9i | −0.554563 | + | 0.695400i | ||||
\(688\) | −34208.6 | − | 16474.0i | −1.89562 | − | 0.912885i | ||||
\(689\) | 2399.29 | + | 547.623i | 0.132664 | + | 0.0302798i | ||||
\(690\) | 8352.44 | + | 1906.39i | 0.460829 | + | 0.105181i | ||||
\(691\) | −5814.70 | − | 2800.21i | −0.320118 | − | 0.154161i | 0.266923 | − | 0.963718i | \(-0.413993\pi\) |
−0.587041 | + | 0.809557i | \(0.699707\pi\) | |||||||
\(692\) | −1707.14 | + | 2140.69i | −0.0937799 | + | 0.117596i | ||||
\(693\) | −2691.76 | + | 5589.50i | −0.147549 | + | 0.306389i | ||||
\(694\) | 16514.3 | + | 13169.7i | 0.903278 | + | 0.720340i | ||||
\(695\) | −13351.9 | −0.728727 | ||||||||
\(696\) | −665.911 | − | 835.026i | −0.0362662 | − | 0.0454764i | ||||
\(697\) | 24508.7 | − | 19545.0i | 1.33190 | − | 1.06215i | ||||
\(698\) | 18410.7 | − | 23086.2i | 0.998358 | − | 1.25190i | ||||
\(699\) | 2275.12 | + | 519.280i | 0.123108 | + | 0.0280987i | ||||
\(700\) | 584.467 | − | 732.898i | 0.0315582 | − | 0.0395728i | ||||
\(701\) | 5600.48i | 0.301750i | 0.988553 | + | 0.150875i | \(0.0482092\pi\) | ||||
−0.988553 | + | 0.150875i | \(0.951791\pi\) | |||||||
\(702\) | 2276.79 | + | 4727.81i | 0.122410 | + | 0.254188i | ||||
\(703\) | 5594.87 | + | 7015.75i | 0.300163 | + | 0.376392i | ||||
\(704\) | − | 1864.81i | − | 0.0998336i | ||||||
\(705\) | 6940.04 | 0.370748 | ||||||||
\(706\) | 14347.2 | + | 3274.66i | 0.764822 | + | 0.174566i | ||||
\(707\) | 12524.1 | + | 15704.7i | 0.666220 | + | 0.835414i | ||||
\(708\) | −4422.65 | − | 9183.72i | −0.234764 | − | 0.487493i | ||||
\(709\) | 15097.1 | + | 31349.4i | 0.799693 | + | 1.66058i | 0.749652 | + | 0.661832i | \(0.230221\pi\) |
0.0500406 | + | 0.998747i | \(0.484065\pi\) | |||||||
\(710\) | −12021.4 | − | 9586.75i | −0.635430 | − | 0.506739i | ||||
\(711\) | 7970.35i | 0.420410i | ||||||||
\(712\) | 1885.40 | − | 907.960i | 0.0992391 | − | 0.0477910i | ||||
\(713\) | 1885.15 | + | 3914.56i | 0.0990176 | + | 0.205612i | ||||
\(714\) | 9062.31 | + | 7226.95i | 0.474998 | + | 0.378798i | ||||
\(715\) | −3794.02 | + | 3025.63i | −0.198445 | + | 0.158255i | ||||
\(716\) | −5226.84 | + | 1192.99i | −0.272816 | + | 0.0622684i | ||||
\(717\) | −9437.23 | + | 19596.6i | −0.491548 | + | 1.02071i | ||||
\(718\) | −681.858 | − | 328.365i | −0.0354411 | − | 0.0170675i | ||||
\(719\) | − | 27515.3i | − | 1.42719i | −0.700561 | − | 0.713593i | \(-0.747067\pi\) | ||
0.700561 | − | 0.713593i | \(-0.252933\pi\) | |||||||
\(720\) | 8258.93i | 0.427489i | ||||||||
\(721\) | −10044.7 | + | 8010.35i | −0.518839 | + | 0.413760i | ||||
\(722\) | 17544.7 | − | 4004.47i | 0.904358 | − | 0.206414i | ||||
\(723\) | −5230.15 | + | 2518.71i | −0.269034 | + | 0.129560i | ||||
\(724\) | −3570.44 | + | 15643.1i | −0.183279 | + | 0.802999i | ||||
\(725\) | 205.929 | − | 258.227i | 0.0105490 | − | 0.0132280i | ||||
\(726\) | −11863.4 | + | 5713.10i | −0.606462 | + | 0.292057i | ||||
\(727\) | 7217.76 | + | 31623.1i | 0.368214 | + | 1.61325i | 0.731682 | + | 0.681646i | \(0.238736\pi\) |
−0.363468 | + | 0.931607i | \(0.618407\pi\) | |||||||
\(728\) | 386.063 | − | 1691.45i | 0.0196544 | − | 0.0861117i | ||||
\(729\) | 4586.47 | + | 20094.7i | 0.233017 | + | 1.02091i | ||||
\(730\) | −2588.39 | − | 5374.84i | −0.131233 | − | 0.272509i | ||||
\(731\) | 28267.9 | + | 6451.97i | 1.43027 | + | 0.326450i | ||||
\(732\) | 3582.91 | + | 7439.98i | 0.180913 | + | 0.375669i | ||||
\(733\) | −2253.52 | + | 9873.32i | −0.113555 | + | 0.497516i | 0.885880 | + | 0.463914i | \(0.153555\pi\) |
−0.999435 | + | 0.0336027i | \(0.989302\pi\) | |||||||
\(734\) | 2487.10 | + | 1197.72i | 0.125069 | + | 0.0602300i | ||||
\(735\) | −6552.66 | + | 3155.60i | −0.328842 | + | 0.158362i | ||||
\(736\) | 9602.69 | + | 2191.75i | 0.480923 | + | 0.109768i | ||||
\(737\) | 10771.0 | − | 13506.3i | 0.538335 | − | 0.675051i | ||||
\(738\) | 13917.2 | + | 11098.6i | 0.694172 | + | 0.553584i | ||||
\(739\) | 1827.38 | + | 880.021i | 0.0909626 | + | 0.0438053i | 0.478812 | − | 0.877918i | \(-0.341068\pi\) |
−0.387849 | + | 0.921723i | \(0.626782\pi\) | |||||||
\(740\) | −7371.20 | + | 5878.33i | −0.366176 | + | 0.292016i | ||||
\(741\) | 1046.92 | + | 1312.80i | 0.0519025 | + | 0.0650837i | ||||
\(742\) | 4977.20 | + | 10335.3i | 0.246252 | + | 0.511347i | ||||
\(743\) | 14146.5 | − | 11281.4i | 0.698498 | − | 0.557033i | −0.208575 | − | 0.978006i | \(-0.566883\pi\) |
0.907073 | + | 0.420973i | \(0.138311\pi\) | |||||||
\(744\) | 3275.33 | − | 2611.99i | 0.161397 | − | 0.128710i | ||||
\(745\) | 6762.87 | + | 29630.1i | 0.332580 | + | 1.45713i | ||||
\(746\) | −4522.00 | + | 19812.2i | −0.221933 | + | 0.972353i | ||||
\(747\) | 6608.71 | + | 3182.59i | 0.323695 | + | 0.155883i | ||||
\(748\) | −2685.12 | − | 11764.3i | −0.131254 | − | 0.575059i | ||||
\(749\) | −2835.17 | − | 3555.19i | −0.138311 | − | 0.173436i | ||||
\(750\) | 20733.6 | − | 4732.31i | 1.00945 | − | 0.230399i | ||||
\(751\) | 10573.0 | + | 13258.1i | 0.513733 | + | 0.644201i | 0.969265 | − | 0.246019i | \(-0.0791224\pi\) |
−0.455532 | + | 0.890219i | \(0.650551\pi\) | |||||||
\(752\) | 12933.9 | 0.627195 | ||||||||
\(753\) | 10505.0 | + | 8377.48i | 0.508399 | + | 0.405435i | ||||
\(754\) | −148.125 | + | 648.978i | −0.00715437 | + | 0.0313453i | ||||
\(755\) | 5806.11 | 0.279875 | ||||||||
\(756\) | −3636.59 | + | 7551.45i | −0.174949 | + | 0.363285i | ||||
\(757\) | −5095.28 | + | 1162.96i | −0.244638 | + | 0.0558370i | −0.343082 | − | 0.939306i | \(-0.611471\pi\) |
0.0984436 | + | 0.995143i | \(0.468614\pi\) | |||||||
\(758\) | 7953.38 | − | 16515.4i | 0.381108 | − | 0.791379i | ||||
\(759\) | 2492.13 | + | 10918.7i | 0.119181 | + | 0.522166i | ||||
\(760\) | 1273.66 | + | 5580.27i | 0.0607902 | + | 0.266339i | ||||
\(761\) | 7180.45 | + | 5726.22i | 0.342038 | + | 0.272766i | 0.779410 | − | 0.626515i | \(-0.215519\pi\) |
−0.437372 | + | 0.899281i | \(0.644091\pi\) | |||||||
\(762\) | 5713.94 | + | 2751.69i | 0.271646 | + | 0.130818i | ||||
\(763\) | −674.207 | − | 845.429i | −0.0319894 | − | 0.0401135i | ||||
\(764\) | −5385.12 | + | 2593.34i | −0.255009 | + | 0.122806i | ||||
\(765\) | −1403.43 | − | 6148.83i | −0.0663283 | − | 0.290603i | ||||
\(766\) | 26204.4 | − | 12619.4i | 1.23604 | − | 0.595244i | ||||
\(767\) | 2531.28 | − | 5256.26i |