Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(2,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.p (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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(1320\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 2.15 | ||
Character | \(\chi\) | \(=\) | 201.2 |
Dual form | 201.4.p.a.101.15 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{66}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.168996 | + | 3.54767i | −0.0597492 | + | 1.25429i | 0.747573 | + | 0.664179i | \(0.231219\pi\) |
−0.807322 | + | 0.590111i | \(0.799084\pi\) | |||||||
\(3\) | −2.66059 | − | 4.46332i | −0.512031 | − | 0.858967i | ||||
\(4\) | −4.59361 | − | 0.438637i | −0.574202 | − | 0.0548296i | ||||
\(5\) | 8.27468 | − | 9.54949i | 0.740110 | − | 0.854132i | −0.253461 | − | 0.967346i | \(-0.581569\pi\) |
0.993571 | + | 0.113214i | \(0.0361144\pi\) | |||||||
\(6\) | 16.2840 | − | 8.68460i | 1.10799 | − | 0.590912i | ||||
\(7\) | −5.63397 | − | 10.9284i | −0.304206 | − | 0.590077i | 0.686337 | − | 0.727284i | \(-0.259218\pi\) |
−0.990542 | + | 0.137207i | \(0.956187\pi\) | |||||||
\(8\) | −1.71122 | + | 11.9018i | −0.0756262 | + | 0.525992i | ||||
\(9\) | −12.8425 | + | 23.7501i | −0.475649 | + | 0.879635i | ||||
\(10\) | 32.4800 | + | 30.9696i | 1.02711 | + | 0.979346i | ||||
\(11\) | 2.20976 | + | 6.38469i | 0.0605699 | + | 0.175005i | 0.971226 | − | 0.238160i | \(-0.0765443\pi\) |
−0.910656 | + | 0.413165i | \(0.864423\pi\) | |||||||
\(12\) | 10.2639 | + | 21.6698i | 0.246912 | + | 0.521295i | ||||
\(13\) | −36.1104 | − | 45.9181i | −0.770402 | − | 0.979645i | −0.999980 | − | 0.00635501i | \(-0.997977\pi\) |
0.229578 | − | 0.973290i | \(-0.426265\pi\) | |||||||
\(14\) | 39.7224 | − | 18.1406i | 0.758304 | − | 0.346306i | ||||
\(15\) | −64.6380 | − | 11.5253i | −1.11263 | − | 0.198388i | ||||
\(16\) | −78.1835 | − | 15.0686i | −1.22162 | − | 0.235447i | ||||
\(17\) | −0.371259 | − | 3.88800i | −0.00529667 | − | 0.0554693i | 0.992437 | − | 0.122754i | \(-0.0391725\pi\) |
−0.997734 | + | 0.0672845i | \(0.978566\pi\) | |||||||
\(18\) | −82.0873 | − | 49.5747i | −1.07490 | − | 0.649160i | ||||
\(19\) | −101.108 | − | 52.1247i | −1.22083 | − | 0.629381i | −0.277335 | − | 0.960773i | \(-0.589451\pi\) |
−0.943493 | + | 0.331393i | \(0.892481\pi\) | |||||||
\(20\) | −42.1994 | + | 40.2371i | −0.471804 | + | 0.449864i | ||||
\(21\) | −33.7872 | + | 54.2222i | −0.351094 | + | 0.563440i | ||||
\(22\) | −23.0242 | + | 6.76052i | −0.223126 | + | 0.0655158i | ||||
\(23\) | −29.0096 | + | 7.03765i | −0.262996 | + | 0.0638022i | −0.365089 | − | 0.930973i | \(-0.618961\pi\) |
0.102092 | + | 0.994775i | \(0.467446\pi\) | |||||||
\(24\) | 57.6746 | − | 24.0281i | 0.490532 | − | 0.204363i | ||||
\(25\) | −4.93306 | − | 34.3102i | −0.0394645 | − | 0.274481i | ||||
\(26\) | 169.005 | − | 120.348i | 1.27479 | − | 0.907774i | ||||
\(27\) | 140.173 | − | 5.86898i | 0.999125 | − | 0.0418328i | ||||
\(28\) | 21.0867 | + | 52.6720i | 0.142322 | + | 0.355503i | ||||
\(29\) | −172.565 | − | 99.6306i | −1.10498 | − | 0.637963i | −0.167459 | − | 0.985879i | \(-0.553556\pi\) |
−0.937526 | + | 0.347916i | \(0.886890\pi\) | |||||||
\(30\) | 51.8116 | − | 227.366i | 0.315315 | − | 1.38371i | ||||
\(31\) | 105.450 | − | 134.090i | 0.610946 | − | 0.776881i | −0.377896 | − | 0.925848i | \(-0.623352\pi\) |
0.988842 | + | 0.148967i | \(0.0475948\pi\) | |||||||
\(32\) | 43.9927 | − | 181.340i | 0.243028 | − | 1.00177i | ||||
\(33\) | 22.6177 | − | 26.8499i | 0.119310 | − | 0.141636i | ||||
\(34\) | 13.8561 | − | 0.660045i | 0.0698910 | − | 0.00332932i | ||||
\(35\) | −150.980 | − | 36.6273i | −0.729149 | − | 0.176890i | ||||
\(36\) | 69.4113 | − | 103.466i | 0.321349 | − | 0.479008i | ||||
\(37\) | 17.8006 | + | 30.8316i | 0.0790920 | + | 0.136991i | 0.902858 | − | 0.429938i | \(-0.141465\pi\) |
−0.823766 | + | 0.566929i | \(0.808131\pi\) | |||||||
\(38\) | 202.008 | − | 349.888i | 0.862369 | − | 1.49367i | ||||
\(39\) | −108.872 | + | 283.342i | −0.447014 | + | 1.16336i | ||||
\(40\) | 99.4965 | + | 114.825i | 0.393295 | + | 0.453886i | ||||
\(41\) | 29.2761 | + | 41.1125i | 0.111516 | + | 0.156602i | 0.866562 | − | 0.499070i | \(-0.166325\pi\) |
−0.755046 | + | 0.655672i | \(0.772385\pi\) | |||||||
\(42\) | −186.652 | − | 129.029i | −0.685740 | − | 0.474039i | ||||
\(43\) | −20.9560 | − | 9.57030i | −0.0743201 | − | 0.0339408i | 0.377908 | − | 0.925843i | \(-0.376643\pi\) |
−0.452228 | + | 0.891902i | \(0.649371\pi\) | |||||||
\(44\) | −7.35024 | − | 30.2981i | −0.0251839 | − | 0.103809i | ||||
\(45\) | 120.534 | + | 319.164i | 0.399292 | + | 1.05729i | ||||
\(46\) | −20.0647 | − | 104.106i | −0.0643127 | − | 0.333686i | ||||
\(47\) | −255.829 | − | 268.306i | −0.793968 | − | 0.832690i | 0.195002 | − | 0.980803i | \(-0.437529\pi\) |
−0.988970 | + | 0.148113i | \(0.952680\pi\) | |||||||
\(48\) | 140.758 | + | 389.050i | 0.423264 | + | 1.16989i | ||||
\(49\) | 111.272 | − | 156.259i | 0.324407 | − | 0.455566i | ||||
\(50\) | 122.555 | − | 11.7026i | 0.346637 | − | 0.0330998i | ||||
\(51\) | −16.3656 | + | 12.0014i | −0.0449342 | + | 0.0329516i | ||||
\(52\) | 145.736 | + | 226.769i | 0.388652 | + | 0.604755i | ||||
\(53\) | 59.8965 | + | 131.155i | 0.155234 | + | 0.339916i | 0.971230 | − | 0.238142i | \(-0.0765382\pi\) |
−0.815996 | + | 0.578057i | \(0.803811\pi\) | |||||||
\(54\) | −2.86755 | + | 498.280i | −0.00722638 | + | 1.25569i | ||||
\(55\) | 79.2556 | + | 31.7292i | 0.194306 | + | 0.0777884i | ||||
\(56\) | 139.709 | − | 48.3536i | 0.333381 | − | 0.115384i | ||||
\(57\) | 36.3569 | + | 589.960i | 0.0844840 | + | 1.37091i | ||||
\(58\) | 382.619 | − | 595.367i | 0.866213 | − | 1.34785i | ||||
\(59\) | −494.745 | − | 71.1337i | −1.09170 | − | 0.156963i | −0.427132 | − | 0.904189i | \(-0.640476\pi\) |
−0.664570 | + | 0.747226i | \(0.731385\pi\) | |||||||
\(60\) | 291.866 | + | 81.2954i | 0.627997 | + | 0.174920i | ||||
\(61\) | 49.4843 | + | 17.1267i | 0.103866 | + | 0.0359483i | 0.378507 | − | 0.925599i | \(-0.376438\pi\) |
−0.274641 | + | 0.961547i | \(0.588559\pi\) | |||||||
\(62\) | 457.887 | + | 396.761i | 0.937931 | + | 0.812722i | ||||
\(63\) | 331.905 | + | 6.54043i | 0.663748 | + | 0.0130796i | ||||
\(64\) | 24.7239 | + | 7.25960i | 0.0482889 | + | 0.0141789i | ||||
\(65\) | −737.296 | − | 35.1217i | −1.40693 | − | 0.0670202i | ||||
\(66\) | 91.4324 | + | 84.7776i | 0.170523 | + | 0.158112i | ||||
\(67\) | 315.381 | − | 448.662i | 0.575074 | − | 0.818102i | ||||
\(68\) | 18.0228i | 0.0321410i | ||||||||
\(69\) | 108.594 | + | 110.755i | 0.189466 | + | 0.193237i | ||||
\(70\) | 155.456 | − | 529.436i | 0.265437 | − | 0.903996i | ||||
\(71\) | 33.8184 | − | 354.163i | 0.0565283 | − | 0.591991i | −0.922184 | − | 0.386752i | \(-0.873597\pi\) |
0.978712 | − | 0.205239i | \(-0.0657971\pi\) | |||||||
\(72\) | −260.694 | − | 193.491i | −0.426709 | − | 0.316711i | ||||
\(73\) | −116.907 | + | 337.782i | −0.187438 | + | 0.541567i | −0.999094 | − | 0.0425697i | \(-0.986446\pi\) |
0.811655 | + | 0.584137i | \(0.198567\pi\) | |||||||
\(74\) | −112.388 | + | 57.9403i | −0.176553 | + | 0.0910192i | ||||
\(75\) | −140.013 | + | 113.303i | −0.215563 | + | 0.174441i | ||||
\(76\) | 441.587 | + | 283.790i | 0.666493 | + | 0.428329i | ||||
\(77\) | 57.3246 | − | 60.1203i | 0.0848408 | − | 0.0889785i | ||||
\(78\) | −986.803 | − | 434.127i | −1.43248 | − | 0.630195i | ||||
\(79\) | −191.955 | + | 479.480i | −0.273375 | + | 0.682857i | −0.999991 | − | 0.00418637i | \(-0.998667\pi\) |
0.726617 | + | 0.687043i | \(0.241092\pi\) | |||||||
\(80\) | −790.841 | + | 621.924i | −1.10523 | + | 0.869165i | ||||
\(81\) | −399.139 | − | 610.024i | −0.547515 | − | 0.836796i | ||||
\(82\) | −150.801 | + | 96.9139i | −0.203088 | + | 0.130516i | ||||
\(83\) | 119.020 | − | 617.533i | 0.157399 | − | 0.816663i | −0.814301 | − | 0.580443i | \(-0.802879\pi\) |
0.971700 | − | 0.236220i | \(-0.0759085\pi\) | |||||||
\(84\) | 178.989 | − | 234.255i | 0.232492 | − | 0.304278i | ||||
\(85\) | −40.2004 | − | 28.6266i | −0.0512982 | − | 0.0365293i | ||||
\(86\) | 37.4937 | − | 72.7277i | 0.0470122 | − | 0.0911910i | ||||
\(87\) | 14.4415 | + | 1035.29i | 0.0177965 | + | 1.27580i | ||||
\(88\) | −79.7709 | + | 15.3746i | −0.0966319 | + | 0.0186243i | ||||
\(89\) | 297.267 | + | 1012.40i | 0.354047 | + | 1.20577i | 0.923451 | + | 0.383716i | \(0.125356\pi\) |
−0.569404 | + | 0.822058i | \(0.692826\pi\) | |||||||
\(90\) | −1152.66 | + | 373.677i | −1.35001 | + | 0.437655i | ||||
\(91\) | −298.365 | + | 653.329i | −0.343705 | + | 0.752610i | ||||
\(92\) | 136.346 | − | 19.6036i | 0.154511 | − | 0.0222154i | ||||
\(93\) | −879.047 | − | 113.897i | −0.980139 | − | 0.126996i | ||||
\(94\) | 995.094 | − | 862.254i | 1.09187 | − | 0.946114i | ||||
\(95\) | −1334.40 | + | 534.213i | −1.44112 | + | 0.576938i | ||||
\(96\) | −926.427 | + | 286.119i | −0.984928 | + | 0.304186i | ||||
\(97\) | 1246.48 | − | 719.657i | 1.30475 | − | 0.753300i | 0.323539 | − | 0.946215i | \(-0.395127\pi\) |
0.981216 | + | 0.192915i | \(0.0617940\pi\) | |||||||
\(98\) | 535.551 | + | 421.162i | 0.552029 | + | 0.434121i | ||||
\(99\) | −180.016 | − | 29.5134i | −0.182751 | − | 0.0299617i | ||||
\(100\) | 7.61085 | + | 159.771i | 0.00761085 | + | 0.159771i | ||||
\(101\) | 70.2244 | + | 1474.19i | 0.0691840 | + | 1.45235i | 0.720453 | + | 0.693504i | \(0.243934\pi\) |
−0.651269 | + | 0.758847i | \(0.725763\pi\) | |||||||
\(102\) | −39.8113 | − | 60.0880i | −0.0386461 | − | 0.0583294i | ||||
\(103\) | 707.410 | + | 556.313i | 0.676729 | + | 0.532186i | 0.896321 | − | 0.443406i | \(-0.146230\pi\) |
−0.219591 | + | 0.975592i | \(0.570472\pi\) | |||||||
\(104\) | 608.302 | − | 351.203i | 0.573548 | − | 0.331138i | ||||
\(105\) | 238.215 | + | 771.322i | 0.221404 | + | 0.716888i | ||||
\(106\) | −475.417 | + | 190.328i | −0.435628 | + | 0.174399i | ||||
\(107\) | −139.523 | + | 120.897i | −0.126058 | + | 0.109229i | −0.715608 | − | 0.698502i | \(-0.753850\pi\) |
0.589551 | + | 0.807731i | \(0.299305\pi\) | |||||||
\(108\) | −646.476 | − | 34.5253i | −0.575993 | − | 0.0307611i | ||||
\(109\) | −809.093 | + | 116.330i | −0.710982 | + | 0.102224i | −0.488311 | − | 0.872670i | \(-0.662387\pi\) |
−0.222671 | + | 0.974894i | \(0.571478\pi\) | |||||||
\(110\) | −125.958 | + | 275.811i | −0.109179 | + | 0.239068i | ||||
\(111\) | 90.2512 | − | 161.480i | 0.0771735 | − | 0.138081i | ||||
\(112\) | 275.808 | + | 939.315i | 0.232691 | + | 0.792473i | ||||
\(113\) | −1293.03 | + | 249.211i | −1.07644 | + | 0.207467i | −0.696511 | − | 0.717547i | \(-0.745265\pi\) |
−0.379933 | + | 0.925014i | \(0.624053\pi\) | |||||||
\(114\) | −2099.12 | + | 29.2812i | −1.72457 | + | 0.0240565i | ||||
\(115\) | −172.839 | + | 335.261i | −0.140151 | + | 0.271854i | ||||
\(116\) | 748.996 | + | 533.358i | 0.599505 | + | 0.426906i | ||||
\(117\) | 1554.31 | − | 267.922i | 1.22817 | − | 0.211705i | ||||
\(118\) | 335.969 | − | 1743.17i | 0.262105 | − | 1.35993i | ||||
\(119\) | −40.3978 | + | 25.9621i | −0.0311199 | + | 0.0199995i | ||||
\(120\) | 247.782 | − | 749.588i | 0.188494 | − | 0.570231i | ||||
\(121\) | 1010.36 | − | 794.552i | 0.759095 | − | 0.596959i | ||||
\(122\) | −69.1224 | + | 172.659i | −0.0512955 | + | 0.128130i | ||||
\(123\) | 105.607 | − | 240.052i | 0.0774166 | − | 0.175974i | ||||
\(124\) | −543.212 | + | 569.705i | −0.393402 | + | 0.412589i | ||||
\(125\) | 960.273 | + | 617.130i | 0.687116 | + | 0.441582i | ||||
\(126\) | −79.2940 | + | 1176.38i | −0.0560641 | + | 0.831751i | ||||
\(127\) | 924.502 | − | 476.614i | 0.645955 | − | 0.333013i | −0.103927 | − | 0.994585i | \(-0.533141\pi\) |
0.749882 | + | 0.661572i | \(0.230110\pi\) | |||||||
\(128\) | 458.315 | − | 1324.21i | 0.316482 | − | 0.914415i | ||||
\(129\) | 13.0400 | + | 118.996i | 0.00890008 | + | 0.0812173i | ||||
\(130\) | 249.201 | − | 2609.75i | 0.168126 | − | 1.76069i | ||||
\(131\) | 347.927 | − | 1184.93i | 0.232050 | − | 0.790289i | −0.758325 | − | 0.651877i | \(-0.773982\pi\) |
0.990375 | − | 0.138412i | \(-0.0441999\pi\) | |||||||
\(132\) | −115.674 | + | 113.417i | −0.0762739 | + | 0.0747857i | ||||
\(133\) | 1398.61i | 0.911844i | ||||||||
\(134\) | 1538.41 | + | 1194.69i | 0.991777 | + | 0.770190i | ||||
\(135\) | 1103.84 | − | 1387.15i | 0.703731 | − | 0.884345i | ||||
\(136\) | 46.9096 | + | 2.23458i | 0.0295769 | + | 0.00140892i | ||||
\(137\) | 2965.94 | + | 870.877i | 1.84961 | + | 0.543095i | 0.999874 | + | 0.0158918i | \(0.00505871\pi\) |
0.849739 | + | 0.527204i | \(0.176759\pi\) | |||||||
\(138\) | −411.274 | + | 366.538i | −0.253695 | + | 0.226100i | ||||
\(139\) | −1659.72 | − | 1438.15i | −1.01277 | − | 0.877573i | −0.0202704 | − | 0.999795i | \(-0.506453\pi\) |
−0.992503 | + | 0.122222i | \(0.960998\pi\) | |||||||
\(140\) | 677.476 | + | 234.477i | 0.408980 | + | 0.141549i | ||||
\(141\) | −516.880 | + | 1855.70i | −0.308717 | + | 1.10836i | ||||
\(142\) | 1250.74 | + | 179.829i | 0.739151 | + | 0.106274i | ||||
\(143\) | 213.378 | − | 332.022i | 0.124780 | − | 0.194161i | ||||
\(144\) | 1361.96 | − | 1663.35i | 0.788169 | − | 0.962587i | ||||
\(145\) | −2379.34 | + | 823.498i | −1.36271 | + | 0.471640i | ||||
\(146\) | −1178.58 | − | 471.833i | −0.668083 | − | 0.267460i | ||||
\(147\) | −993.484 | − | 80.9001i | −0.557423 | − | 0.0453913i | ||||
\(148\) | −68.2453 | − | 149.436i | −0.0379036 | − | 0.0829972i | ||||
\(149\) | 146.041 | + | 227.244i | 0.0802962 | + | 0.124943i | 0.879079 | − | 0.476676i | \(-0.158159\pi\) |
−0.798783 | + | 0.601620i | \(0.794522\pi\) | |||||||
\(150\) | −378.300 | − | 515.866i | −0.205920 | − | 0.280802i | ||||
\(151\) | 2720.35 | − | 259.762i | 1.46609 | − | 0.139994i | 0.668731 | − | 0.743505i | \(-0.266838\pi\) |
0.797355 | + | 0.603511i | \(0.206232\pi\) | |||||||
\(152\) | 793.398 | − | 1114.17i | 0.423375 | − | 0.594547i | ||||
\(153\) | 97.1084 | + | 41.1143i | 0.0513121 | + | 0.0217248i | ||||
\(154\) | 203.599 | + | 213.529i | 0.106536 | + | 0.111731i | ||||
\(155\) | −407.930 | − | 2116.54i | −0.211392 | − | 1.09681i | ||||
\(156\) | 624.402 | − | 1253.81i | 0.320463 | − | 0.643493i | ||||
\(157\) | 657.966 | + | 2712.17i | 0.334468 | + | 1.37869i | 0.852229 | + | 0.523169i | \(0.175251\pi\) |
−0.517761 | + | 0.855525i | \(0.673234\pi\) | |||||||
\(158\) | −1668.60 | − | 762.022i | −0.840167 | − | 0.383691i | ||||
\(159\) | 426.028 | − | 616.287i | 0.212492 | − | 0.307389i | ||||
\(160\) | −1367.68 | − | 1920.64i | −0.675780 | − | 0.949000i | ||||
\(161\) | 240.349 | + | 277.378i | 0.117653 | + | 0.135779i | ||||
\(162\) | 2231.62 | − | 1312.92i | 1.08230 | − | 0.636745i | ||||
\(163\) | −1327.98 | + | 2300.13i | −0.638131 | + | 1.10527i | 0.347712 | + | 0.937601i | \(0.386959\pi\) |
−0.985843 | + | 0.167673i | \(0.946375\pi\) | |||||||
\(164\) | −116.449 | − | 201.696i | −0.0554462 | − | 0.0960356i | ||||
\(165\) | −69.2491 | − | 438.162i | −0.0326729 | − | 0.206732i | ||||
\(166\) | 2170.69 | + | 526.603i | 1.01493 | + | 0.246219i | ||||
\(167\) | 4108.92 | − | 195.732i | 1.90394 | − | 0.0906957i | 0.937560 | − | 0.347823i | \(-0.113079\pi\) |
0.966378 | + | 0.257127i | \(0.0827759\pi\) | |||||||
\(168\) | −587.525 | − | 494.916i | −0.269813 | − | 0.227283i | ||||
\(169\) | −286.549 | + | 1181.17i | −0.130427 | + | 0.537629i | ||||
\(170\) | 108.351 | − | 137.780i | 0.0488833 | − | 0.0621602i | ||||
\(171\) | 2536.45 | − | 1731.91i | 1.13431 | − | 0.774518i | ||||
\(172\) | 92.0660 | + | 53.1543i | 0.0408138 | + | 0.0235638i | ||||
\(173\) | −350.616 | − | 875.796i | −0.154086 | − | 0.384888i | 0.831160 | − | 0.556033i | \(-0.187677\pi\) |
−0.985246 | + | 0.171146i | \(0.945253\pi\) | |||||||
\(174\) | −3675.31 | − | 123.726i | −1.60129 | − | 0.0539062i | ||||
\(175\) | −347.162 | + | 247.213i | −0.149960 | + | 0.106786i | ||||
\(176\) | −76.5585 | − | 532.476i | −0.0327887 | − | 0.228050i | ||||
\(177\) | 998.822 | + | 2397.47i | 0.424158 | + | 1.01811i | ||||
\(178\) | −3641.89 | + | 883.512i | −1.53354 | + | 0.372034i | ||||
\(179\) | −3242.91 | + | 952.204i | −1.35411 | + | 0.397604i | −0.876684 | − | 0.481066i | \(-0.840250\pi\) |
−0.477430 | + | 0.878670i | \(0.658431\pi\) | |||||||
\(180\) | −413.689 | − | 1518.99i | −0.171303 | − | 0.628993i | ||||
\(181\) | 1398.51 | − | 1333.47i | 0.574311 | − | 0.547604i | −0.346281 | − | 0.938131i | \(-0.612556\pi\) |
0.920592 | + | 0.390527i | \(0.127707\pi\) | |||||||
\(182\) | −2267.37 | − | 1168.91i | −0.923455 | − | 0.476074i | ||||
\(183\) | −55.2154 | − | 266.431i | −0.0223040 | − | 0.107624i | ||||
\(184\) | −34.1190 | − | 357.310i | −0.0136700 | − | 0.143159i | ||||
\(185\) | 441.720 | + | 85.1346i | 0.175545 | + | 0.0338336i | ||||
\(186\) | 552.626 | − | 3099.32i | 0.217852 | − | 1.22179i | ||||
\(187\) | 24.0033 | − | 10.9619i | 0.00938659 | − | 0.00428671i | ||||
\(188\) | 1057.49 | + | 1344.71i | 0.410242 | + | 0.521665i | ||||
\(189\) | −853.871 | − | 1498.80i | −0.328624 | − | 0.576835i | ||||
\(190\) | −1669.70 | − | 4824.28i | −0.637541 | − | 1.84205i | ||||
\(191\) | −3662.59 | − | 3492.28i | −1.38752 | − | 1.32300i | −0.890303 | − | 0.455369i | \(-0.849507\pi\) |
−0.497216 | − | 0.867627i | \(-0.665644\pi\) | |||||||
\(192\) | −33.3783 | − | 129.666i | −0.0125462 | − | 0.0487386i | ||||
\(193\) | −210.839 | + | 1466.42i | −0.0786347 | + | 0.546917i | 0.911980 | + | 0.410234i | \(0.134553\pi\) |
−0.990615 | + | 0.136682i | \(0.956356\pi\) | |||||||
\(194\) | 2342.45 | + | 4543.73i | 0.866899 | + | 1.68155i | ||||
\(195\) | 1804.88 | + | 3384.24i | 0.662822 | + | 1.24282i | ||||
\(196\) | −579.680 | + | 668.987i | −0.211254 | + | 0.243800i | ||||
\(197\) | −858.885 | − | 82.0135i | −0.310624 | − | 0.0296610i | −0.0614202 | − | 0.998112i | \(-0.519563\pi\) |
−0.249204 | + | 0.968451i | \(0.580169\pi\) | |||||||
\(198\) | 135.126 | − | 633.651i | 0.0484999 | − | 0.227432i | ||||
\(199\) | 60.3734 | − | 1267.39i | 0.0215063 | − | 0.451473i | −0.962273 | − | 0.272087i | \(-0.912286\pi\) |
0.983779 | − | 0.179386i | \(-0.0574109\pi\) | |||||||
\(200\) | 416.795 | 0.147359 | ||||||||
\(201\) | −2841.62 | − | 213.942i | −0.997178 | − | 0.0750762i | ||||
\(202\) | −5241.81 | −1.82580 | ||||||||
\(203\) | −116.573 | + | 2447.17i | −0.0403046 | + | 0.846098i | ||||
\(204\) | 80.4416 | − | 47.9513i | 0.0276080 | − | 0.0164572i | ||||
\(205\) | 634.853 | + | 60.6211i | 0.216293 | + | 0.0206535i | ||||
\(206\) | −2093.16 | + | 2415.64i | −0.707950 | + | 0.817017i | ||||
\(207\) | 205.411 | − | 779.363i | 0.0689714 | − | 0.261688i | ||||
\(208\) | 2131.31 | + | 4134.17i | 0.710481 | + | 1.37814i | ||||
\(209\) | 109.376 | − | 760.726i | 0.0361995 | − | 0.251773i | ||||
\(210\) | −2776.65 | + | 714.759i | −0.912415 | + | 0.234872i | ||||
\(211\) | −3255.36 | − | 3103.98i | −1.06212 | − | 1.01273i | −0.999892 | − | 0.0146709i | \(-0.995330\pi\) |
−0.0622311 | − | 0.998062i | \(-0.519822\pi\) | |||||||
\(212\) | −217.612 | − | 628.749i | −0.0704984 | − | 0.203692i | ||||
\(213\) | −1670.72 | + | 791.339i | −0.537445 | + | 0.254562i | ||||
\(214\) | −405.324 | − | 515.411i | −0.129474 | − | 0.164639i | ||||
\(215\) | −264.796 | + | 120.928i | −0.0839950 | + | 0.0383592i | ||||
\(216\) | −170.016 | + | 1678.36i | −0.0535562 | + | 0.528695i | ||||
\(217\) | −2059.49 | − | 396.934i | −0.644273 | − | 0.124173i | ||||
\(218\) | −275.967 | − | 2890.05i | −0.0857377 | − | 0.897886i | ||||
\(219\) | 1818.67 | − | 376.903i | 0.561162 | − | 0.116296i | ||||
\(220\) | −350.152 | − | 180.516i | −0.107306 | − | 0.0553199i | ||||
\(221\) | −165.123 | + | 157.445i | −0.0502596 | + | 0.0479225i | ||||
\(222\) | 557.626 | + | 347.471i | 0.168583 | + | 0.105048i | ||||
\(223\) | 6044.17 | − | 1774.73i | 1.81501 | − | 0.532936i | 0.816029 | − | 0.578011i | \(-0.196171\pi\) |
0.998984 | + | 0.0450757i | \(0.0143529\pi\) | |||||||
\(224\) | −2229.61 | + | 540.897i | −0.665054 | + | 0.161340i | ||||
\(225\) | 878.224 | + | 323.469i | 0.260215 | + | 0.0958425i | ||||
\(226\) | −665.601 | − | 4629.36i | −0.195908 | − | 1.36257i | ||||
\(227\) | 255.201 | − | 181.728i | 0.0746180 | − | 0.0531353i | −0.542139 | − | 0.840289i | \(-0.682385\pi\) |
0.616757 | + | 0.787153i | \(0.288446\pi\) | |||||||
\(228\) | 91.7685 | − | 2725.99i | 0.0266558 | − | 0.791813i | ||||
\(229\) | 474.372 | + | 1184.92i | 0.136888 | + | 0.341930i | 0.980934 | − | 0.194341i | \(-0.0622568\pi\) |
−0.844046 | + | 0.536271i | \(0.819833\pi\) | |||||||
\(230\) | −1160.19 | − | 669.833i | −0.332610 | − | 0.192033i | ||||
\(231\) | −420.854 | − | 95.9029i | −0.119871 | − | 0.0273158i | ||||
\(232\) | 1481.08 | − | 1883.35i | 0.419129 | − | 0.532966i | ||||
\(233\) | 1500.79 | − | 6186.33i | 0.421973 | − | 1.73940i | −0.222651 | − | 0.974898i | \(-0.571471\pi\) |
0.644624 | − | 0.764500i | \(-0.277014\pi\) | |||||||
\(234\) | 687.827 | + | 5559.45i | 0.192157 | + | 1.55313i | ||||
\(235\) | −4679.09 | + | 222.892i | −1.29885 | + | 0.0618719i | ||||
\(236\) | 2241.47 | + | 543.774i | 0.618251 | + | 0.149986i | ||||
\(237\) | 2650.79 | − | 418.942i | 0.726528 | − | 0.114824i | ||||
\(238\) | −85.2779 | − | 147.706i | −0.0232258 | − | 0.0402283i | ||||
\(239\) | 451.887 | − | 782.691i | 0.122302 | − | 0.211833i | −0.798373 | − | 0.602163i | \(-0.794306\pi\) |
0.920675 | + | 0.390330i | \(0.127639\pi\) | |||||||
\(240\) | 4879.95 | + | 1875.10i | 1.31250 | + | 0.504320i | ||||
\(241\) | −2712.90 | − | 3130.85i | −0.725116 | − | 0.836829i | 0.266796 | − | 0.963753i | \(-0.414035\pi\) |
−0.991912 | + | 0.126924i | \(0.959489\pi\) | |||||||
\(242\) | 2648.06 | + | 3718.68i | 0.703404 | + | 0.987793i | ||||
\(243\) | −1660.79 | + | 3404.51i | −0.438435 | + | 0.898763i | ||||
\(244\) | −219.799 | − | 100.379i | −0.0576689 | − | 0.0263365i | ||||
\(245\) | −571.458 | − | 2355.58i | −0.149017 | − | 0.614256i | ||||
\(246\) | 833.778 | + | 415.226i | 0.216096 | + | 0.107617i | ||||
\(247\) | 1257.58 | + | 6524.92i | 0.323958 | + | 1.68085i | ||||
\(248\) | 1415.47 | + | 1484.50i | 0.362429 | + | 0.380105i | ||||
\(249\) | −3072.91 | + | 1111.78i | −0.782080 | + | 0.282956i | ||||
\(250\) | −2351.66 | + | 3302.44i | −0.594927 | + | 0.835458i | ||||
\(251\) | −86.8922 | + | 8.29720i | −0.0218509 | + | 0.00208651i | −0.105976 | − | 0.994369i | \(-0.533797\pi\) |
0.0841249 | + | 0.996455i | \(0.473191\pi\) | |||||||
\(252\) | −1521.77 | − | 175.630i | −0.380408 | − | 0.0439034i | ||||
\(253\) | −109.038 | − | 169.666i | −0.0270954 | − | 0.0421612i | ||||
\(254\) | 1534.63 | + | 3360.37i | 0.379100 | + | 0.830112i | ||||
\(255\) | −20.8130 | + | 255.591i | −0.00511121 | + | 0.0627676i | ||||
\(256\) | 4811.79 | + | 1926.35i | 1.17475 | + | 0.470301i | ||||
\(257\) | −1045.12 | + | 361.720i | −0.253669 | + | 0.0877956i | −0.450943 | − | 0.892553i | \(-0.648912\pi\) |
0.197274 | + | 0.980348i | \(0.436791\pi\) | |||||||
\(258\) | −424.363 | + | 26.1518i | −0.102402 | + | 0.00631062i | ||||
\(259\) | 236.651 | − | 368.236i | 0.0567752 | − | 0.0883439i | ||||
\(260\) | 3371.45 | + | 484.741i | 0.804186 | + | 0.115624i | ||||
\(261\) | 4582.42 | − | 2818.94i | 1.08676 | − | 0.668537i | ||||
\(262\) | 4144.94 | + | 1434.58i | 0.977387 | + | 0.338277i | ||||
\(263\) | −3016.58 | − | 2613.88i | −0.707264 | − | 0.612847i | 0.225114 | − | 0.974332i | \(-0.427724\pi\) |
−0.932378 | + | 0.361485i | \(0.882270\pi\) | |||||||
\(264\) | 280.859 | + | 315.138i | 0.0654762 | + | 0.0734675i | ||||
\(265\) | 1748.09 | + | 513.285i | 0.405223 | + | 0.118984i | ||||
\(266\) | −4961.82 | − | 236.361i | −1.14372 | − | 0.0544819i | ||||
\(267\) | 3727.75 | − | 4020.37i | 0.854437 | − | 0.921508i | ||||
\(268\) | −1645.54 | + | 1922.64i | −0.375064 | + | 0.438224i | ||||
\(269\) | 5015.77i | 1.13687i | 0.822730 | + | 0.568433i | \(0.192450\pi\) | ||||
−0.822730 | + | 0.568433i | \(0.807550\pi\) | |||||||
\(270\) | 4734.59 | + | 4150.49i | 1.06718 | + | 0.935522i | ||||
\(271\) | 146.886 | − | 500.247i | 0.0329250 | − | 0.112132i | −0.941391 | − | 0.337317i | \(-0.890480\pi\) |
0.974316 | + | 0.225185i | \(0.0722987\pi\) | |||||||
\(272\) | −29.5605 | + | 309.571i | −0.00658959 | + | 0.0690093i | ||||
\(273\) | 3709.85 | − | 406.539i | 0.822455 | − | 0.0901276i | ||||
\(274\) | −3590.82 | + | 10375.0i | −0.791712 | + | 2.28750i | ||||
\(275\) | 208.159 | − | 107.313i | 0.0456453 | − | 0.0235318i | ||||
\(276\) | −450.257 | − | 556.398i | −0.0981967 | − | 0.121345i | ||||
\(277\) | −1801.17 | − | 1157.54i | −0.390693 | − | 0.251083i | 0.330516 | − | 0.943800i | \(-0.392777\pi\) |
−0.721210 | + | 0.692717i | \(0.756414\pi\) | |||||||
\(278\) | 5382.58 | − | 5645.09i | 1.16124 | − | 1.21788i | ||||
\(279\) | 1830.42 | + | 4226.50i | 0.392776 | + | 0.906933i | ||||
\(280\) | 694.292 | − | 1734.26i | 0.148185 | − | 0.370149i | ||||
\(281\) | 2465.60 | − | 1938.97i | 0.523436 | − | 0.411635i | −0.321171 | − | 0.947021i | \(-0.604076\pi\) |
0.844607 | + | 0.535387i | \(0.179834\pi\) | |||||||
\(282\) | −6496.06 | − | 2147.32i | −1.37175 | − | 0.453444i | ||||
\(283\) | −2116.62 | + | 1360.27i | −0.444594 | + | 0.285723i | −0.743721 | − | 0.668490i | \(-0.766941\pi\) |
0.299127 | + | 0.954213i | \(0.403305\pi\) | |||||||
\(284\) | −310.698 | + | 1612.05i | −0.0649173 | + | 0.336823i | ||||
\(285\) | 5934.65 | + | 4534.54i | 1.23347 | + | 0.942466i | ||||
\(286\) | 1141.84 | + | 813.103i | 0.236079 | + | 0.168111i | ||||
\(287\) | 284.352 | − | 551.566i | 0.0584836 | − | 0.113442i | ||||
\(288\) | 3741.88 | + | 3373.70i | 0.765599 | + | 0.690268i | ||||
\(289\) | 4809.24 | − | 926.904i | 0.978880 | − | 0.188664i | ||||
\(290\) | −2519.40 | − | 8580.29i | −0.510152 | − | 1.73742i | ||||
\(291\) | −6528.44 | − | 3648.75i | −1.31513 | − | 0.735028i | ||||
\(292\) | 685.191 | − | 1500.36i | 0.137321 | − | 0.300692i | ||||
\(293\) | −7565.53 | + | 1087.76i | −1.50847 | + | 0.216886i | −0.846398 | − | 0.532551i | \(-0.821234\pi\) |
−0.662076 | + | 0.749436i | \(0.730325\pi\) | |||||||
\(294\) | 454.902 | − | 3510.88i | 0.0902395 | − | 0.696458i | ||||
\(295\) | −4773.15 | + | 4135.96i | −0.942046 | + | 0.816287i | ||||
\(296\) | −397.413 | + | 159.100i | −0.0780377 | + | 0.0312416i | ||||
\(297\) | 347.222 | + | 881.995i | 0.0678378 | + | 0.172318i | ||||
\(298\) | −830.866 | + | 479.701i | −0.161513 | + | 0.0932494i | ||||
\(299\) | 1370.70 | + | 1077.93i | 0.265116 | + | 0.208490i | ||||
\(300\) | 692.863 | − | 459.056i | 0.133341 | − | 0.0883453i | ||||
\(301\) | 13.4778 | + | 282.934i | 0.00258089 | + | 0.0541796i | ||||
\(302\) | 461.820 | + | 9694.80i | 0.0879959 | + | 1.84726i | ||||
\(303\) | 6392.95 | − | 4235.65i | 1.21210 | − | 0.803075i | ||||
\(304\) | 7119.52 | + | 5598.85i | 1.34320 | + | 1.05630i | ||||
\(305\) | 573.017 | − | 330.832i | 0.107577 | − | 0.0621094i | ||||
\(306\) | −162.271 | + | 337.560i | −0.0303150 | + | 0.0630622i | ||||
\(307\) | −9010.02 | + | 3607.07i | −1.67501 | + | 0.670574i | −0.997867 | − | 0.0652744i | \(-0.979208\pi\) |
−0.677146 | + | 0.735849i | \(0.736783\pi\) | |||||||
\(308\) | −289.698 | + | 251.025i | −0.0535944 | + | 0.0464398i | ||||
\(309\) | 600.879 | − | 4637.52i | 0.110624 | − | 0.853784i | ||||
\(310\) | 7577.73 | − | 1089.51i | 1.38834 | − | 0.199614i | ||||
\(311\) | 1773.32 | − | 3883.03i | 0.323330 | − | 0.707995i | −0.676259 | − | 0.736664i | \(-0.736400\pi\) |
0.999589 | + | 0.0286697i | \(0.00912710\pi\) | |||||||
\(312\) | −3185.98 | − | 1780.64i | −0.578110 | − | 0.323106i | ||||
\(313\) | 1617.15 | + | 5507.51i | 0.292035 | + | 0.994578i | 0.966584 | + | 0.256349i | \(0.0825196\pi\) |
−0.674550 | + | 0.738229i | \(0.735662\pi\) | |||||||
\(314\) | −9733.09 | + | 1875.90i | −1.74927 | + | 0.337144i | ||||
\(315\) | 2808.86 | − | 3115.40i | 0.502418 | − | 0.557248i | ||||
\(316\) | 1092.08 | − | 2118.35i | 0.194413 | − | 0.377109i | ||||
\(317\) | −352.381 | − | 250.929i | −0.0624343 | − | 0.0444593i | 0.548414 | − | 0.836207i | \(-0.315232\pi\) |
−0.610848 | + | 0.791748i | \(0.709171\pi\) | |||||||
\(318\) | 2114.39 | + | 1615.56i | 0.372858 | + | 0.284893i | ||||
\(319\) | 254.782 | − | 1321.94i | 0.0447181 | − | 0.232019i | ||||
\(320\) | 273.908 | − | 176.030i | 0.0478498 | − | 0.0307512i | ||||
\(321\) | 910.815 | + | 301.077i | 0.158370 | + | 0.0523504i | ||||
\(322\) | −1024.66 | + | 805.803i | −0.177336 | + | 0.139459i | ||||
\(323\) | −165.124 | + | 412.459i | −0.0284449 | + | 0.0710520i | ||||
\(324\) | 1565.91 | + | 2977.29i | 0.268503 | + | 0.510510i | ||||
\(325\) | −1397.32 | + | 1465.47i | −0.238491 | + | 0.250122i | ||||
\(326\) | −7935.66 | − | 5099.94i | −1.34821 | − | 0.866440i | ||||
\(327\) | 2671.88 | + | 3301.74i | 0.451852 | + | 0.558369i | ||||
\(328\) | −539.412 | + | 278.086i | −0.0908050 | + | 0.0468132i | ||||
\(329\) | −1490.81 | + | 4307.42i | −0.249821 | + | 0.721811i | ||||
\(330\) | 1566.16 | − | 171.625i | 0.261255 | − | 0.0286292i | ||||
\(331\) | 759.609 | − | 7954.99i | 0.126139 | − | 1.32098i | −0.681722 | − | 0.731611i | \(-0.738769\pi\) |
0.807861 | − | 0.589373i | \(-0.200625\pi\) | |||||||
\(332\) | −817.603 | + | 2784.50i | −0.135156 | + | 0.460299i | ||||
\(333\) | −960.859 | + | 26.8118i | −0.158122 | + | 0.00441224i | ||||
\(334\) | 14610.2i | 2.39351i | ||||||||
\(335\) | −1674.82 | − | 6724.26i | −0.273149 | − | 1.09667i | ||||
\(336\) | 3458.66 | − | 3730.15i | 0.561563 | − | 0.605644i | ||||
\(337\) | −4907.63 | − | 233.779i | −0.793280 | − | 0.0377886i | −0.352970 | − | 0.935634i | \(-0.614828\pi\) |
−0.440310 | + | 0.897846i | \(0.645131\pi\) | |||||||
\(338\) | −4141.97 | − | 1216.19i | −0.666549 | − | 0.195717i | ||||
\(339\) | 4552.53 | + | 5108.17i | 0.729380 | + | 0.818400i | ||||
\(340\) | 172.108 | + | 149.133i | 0.0274526 | + | 0.0237878i | ||||
\(341\) | 1089.14 | + | 376.956i | 0.172963 | + | 0.0598631i | ||||
\(342\) | 5715.60 | + | 9291.17i | 0.903697 | + | 1.46903i | ||||
\(343\) | −6508.88 | − | 935.835i | −1.02462 | − | 0.147319i | ||||
\(344\) | 149.765 | − | 233.038i | 0.0234731 | − | 0.0365249i | ||||
\(345\) | 1956.23 | − | 120.555i | 0.305275 | − | 0.0188129i | ||||
\(346\) | 3166.29 | − | 1095.86i | 0.491967 | − | 0.170272i | ||||
\(347\) | 91.9605 | + | 36.8154i | 0.0142268 | + | 0.00569555i | 0.378765 | − | 0.925493i | \(-0.376349\pi\) |
−0.364538 | + | 0.931188i | \(0.618773\pi\) | |||||||
\(348\) | 387.778 | − | 4762.06i | 0.0597330 | − | 0.733544i | ||||
\(349\) | −2805.03 | − | 6142.17i | −0.430229 | − | 0.942071i | −0.993289 | − | 0.115655i | \(-0.963103\pi\) |
0.563060 | − | 0.826416i | \(-0.309624\pi\) | |||||||
\(350\) | −818.360 | − | 1273.39i | −0.124980 | − | 0.194473i | ||||
\(351\) | −5331.20 | − | 6224.56i | −0.810708 | − | 0.946560i | ||||
\(352\) | 1255.02 | − | 119.840i | 0.190036 | − | 0.0181462i | ||||
\(353\) | 1337.75 | − | 1878.61i | 0.201704 | − | 0.283253i | −0.701318 | − | 0.712849i | \(-0.747405\pi\) |
0.903021 | + | 0.429596i | \(0.141344\pi\) | |||||||
\(354\) | −8674.21 | + | 3138.33i | −1.30234 | + | 0.471187i | ||||
\(355\) | −3102.24 | − | 3253.53i | −0.463802 | − | 0.486421i | ||||
\(356\) | −921.453 | − | 4780.95i | −0.137182 | − | 0.711770i | ||||
\(357\) | 223.359 | + | 111.234i | 0.0331132 | + | 0.0164906i | ||||
\(358\) | −2830.06 | − | 11665.7i | −0.417803 | − | 1.72221i | ||||
\(359\) | −329.175 | − | 150.329i | −0.0483933 | − | 0.0221005i | 0.391071 | − | 0.920360i | \(-0.372105\pi\) |
−0.439465 | + | 0.898260i | \(0.644832\pi\) | |||||||
\(360\) | −4004.90 | + | 888.412i | −0.586324 | + | 0.130065i | ||||
\(361\) | 3527.20 | + | 4953.26i | 0.514244 | + | 0.722155i | ||||
\(362\) | 4494.38 | + | 5186.79i | 0.652540 | + | 0.753071i | ||||
\(363\) | −6234.49 | − | 2395.57i | −0.901448 | − | 0.346376i | ||||
\(364\) | 1657.15 | − | 2870.27i | 0.238622 | − | 0.413305i | ||||
\(365\) | 2258.27 | + | 3911.44i | 0.323845 | + | 0.560916i | ||||
\(366\) | 954.541 | − | 150.860i | 0.136324 | − | 0.0215453i | ||||
\(367\) | −8456.77 | − | 2051.59i | −1.20283 | − | 0.291804i | −0.416228 | − | 0.909260i | \(-0.636648\pi\) |
−0.786605 | + | 0.617456i | \(0.788163\pi\) | |||||||
\(368\) | 2374.12 | − | 113.093i | 0.336303 | − | 0.0160201i | ||||
\(369\) | −1352.41 | + | 167.322i | −0.190795 | + | 0.0236056i | ||||
\(370\) | −376.678 | + | 1552.69i | −0.0529259 | + | 0.218163i | ||||
\(371\) | 1095.86 | − | 1393.50i | 0.153353 | − | 0.195005i | ||||
\(372\) | 3988.04 | + | 908.783i | 0.555834 | + | 0.126662i | ||||
\(373\) | 8793.32 | + | 5076.83i | 1.22065 | + | 0.704740i | 0.965056 | − | 0.262045i | \(-0.0843968\pi\) |
0.255591 | + | 0.966785i | \(0.417730\pi\) | |||||||
\(374\) | 34.8328 | + | 87.0082i | 0.00481594 | + | 0.0120296i | ||||
\(375\) | 199.560 | − | 5927.94i | 0.0274806 | − | 0.816313i | ||||
\(376\) | 3631.11 | − | 2585.70i | 0.498033 | − | 0.354647i | ||||
\(377\) | 1656.55 | + | 11521.6i | 0.226304 | + | 1.57398i | ||||
\(378\) | 5461.55 | − | 2775.96i | 0.743153 | − | 0.377725i | ||||
\(379\) | −10373.9 | + | 2516.68i | −1.40600 | + | 0.341091i | −0.865775 | − | 0.500433i | \(-0.833174\pi\) |
−0.540220 | + | 0.841524i | \(0.681659\pi\) | |||||||
\(380\) | 6364.04 | − | 1868.65i | 0.859127 | − | 0.252263i | ||||
\(381\) | −4587.00 | − | 2858.28i | −0.616796 | − | 0.384341i | ||||
\(382\) | 13008.4 | − | 12403.5i | 1.74232 | − | 1.66130i | ||||
\(383\) | 9151.93 | + | 4718.15i | 1.22100 | + | 0.629467i | 0.943536 | − | 0.331270i | \(-0.107477\pi\) |
0.277460 | + | 0.960737i | \(0.410507\pi\) | |||||||
\(384\) | −7129.79 | + | 1477.58i | −0.947501 | + | 0.196361i | ||||
\(385\) | −99.7755 | − | 1044.90i | −0.0132079 | − | 0.138319i | ||||
\(386\) | −5166.72 | − | 995.805i | −0.681294 | − | 0.131309i | ||||
\(387\) | 496.424 | − | 374.802i | 0.0652059 | − | 0.0492306i | ||||
\(388\) | −6041.53 | + | 2759.07i | −0.790495 | + | 0.361007i | ||||
\(389\) | −2734.68 | − | 3477.43i | −0.356436 | − | 0.453245i | 0.574458 | − | 0.818534i | \(-0.305213\pi\) |
−0.930894 | + | 0.365288i | \(0.880970\pi\) | |||||||
\(390\) | −12311.2 | + | 5831.20i | −1.59846 | + | 0.757113i | ||||
\(391\) | 38.1324 | + | 110.176i | 0.00493207 | + | 0.0142503i | ||||
\(392\) | 1669.36 | + | 1591.73i | 0.215090 | + | 0.205088i | ||||
\(393\) | −6214.42 | + | 1599.70i | −0.797649 | + | 0.205329i | ||||
\(394\) | 436.105 | − | 3033.18i | 0.0557631 | − | 0.387841i | ||||
\(395\) | 2990.42 | + | 5800.61i | 0.380923 | + | 0.738887i | ||||
\(396\) | 813.980 | + | 214.535i | 0.103293 | + | 0.0272242i | ||||
\(397\) | −37.1169 | + | 42.8351i | −0.00469230 | + | 0.00541520i | −0.758091 | − | 0.652149i | \(-0.773868\pi\) |
0.753399 | + | 0.657564i | \(0.228413\pi\) | |||||||
\(398\) | 4486.09 | + | 428.369i | 0.564993 | + | 0.0539503i | ||||
\(399\) | 6242.47 | − | 3721.14i | 0.783244 | − | 0.466892i | ||||
\(400\) | −131.324 | + | 2756.82i | −0.0164155 | + | 0.344603i | ||||
\(401\) | 3609.21 | 0.449464 | 0.224732 | − | 0.974421i | \(-0.427849\pi\) | ||||
0.224732 | + | 0.974421i | \(0.427849\pi\) | |||||||
\(402\) | 1239.22 | − | 10045.0i | 0.153748 | − | 1.24626i | ||||
\(403\) | −9965.00 | −1.23174 | ||||||||
\(404\) | 324.051 | − | 6802.67i | 0.0399063 | − | 0.837736i | ||||
\(405\) | −9128.16 | − | 1236.18i | −1.11996 | − | 0.151670i | ||||
\(406\) | −8662.06 | − | 827.127i | −1.05884 | − | 0.101107i | ||||
\(407\) | −157.515 | + | 181.782i | −0.0191836 | + | 0.0221391i | ||||
\(408\) | −114.833 | − | 215.318i | −0.0139341 | − | 0.0261270i | ||||
\(409\) | −6265.01 | − | 12152.4i | −0.757420 | − | 1.46919i | −0.879109 | − | 0.476621i | \(-0.841861\pi\) |
0.121689 | − | 0.992568i | \(-0.461169\pi\) | |||||||
\(410\) | −322.351 | + | 2242.00i | −0.0388288 | + | 0.270060i | ||||
\(411\) | −4004.13 | − | 15555.0i | −0.480557 | − | 1.86684i | ||||
\(412\) | −3005.55 | − | 2865.78i | −0.359400 | − | 0.342687i | ||||
\(413\) | 2010.01 | + | 5807.53i | 0.239482 | + | 0.691937i | ||||
\(414\) | 2730.21 | + | 860.441i | 0.324112 | + | 0.102146i | ||||
\(415\) | −4912.27 | − | 6246.46i | −0.581046 | − | 0.738859i | ||||
\(416\) | −9915.40 | + | 4528.21i | −1.16861 | + | 0.533687i | ||||
\(417\) | −2003.12 | + | 11234.2i | −0.235236 | + | 1.31928i | ||||
\(418\) | 2680.32 | + | 516.589i | 0.313633 | + | 0.0604478i | ||||
\(419\) | 375.526 | + | 3932.69i | 0.0437843 | + | 0.458530i | 0.990604 | + | 0.136764i | \(0.0436704\pi\) |
−0.946819 | + | 0.321766i | \(0.895724\pi\) | |||||||
\(420\) | −755.940 | − | 3647.64i | −0.0878240 | − | 0.423778i | ||||
\(421\) | 4112.93 | + | 2120.36i | 0.476133 | + | 0.245464i | 0.679551 | − | 0.733628i | \(-0.262175\pi\) |
−0.203418 | + | 0.979092i | \(0.565205\pi\) | |||||||
\(422\) | 11562.0 | − | 11024.4i | 1.33372 | − | 1.27170i | ||||
\(423\) | 9657.79 | − | 2630.25i | 1.11011 | − | 0.302334i | ||||
\(424\) | −1663.48 | + | 488.442i | −0.190533 | + | 0.0559454i | ||||
\(425\) | −131.566 | + | 31.9176i | −0.0150162 | + | 0.00364290i | ||||
\(426\) | −2525.06 | − | 6060.89i | −0.287182 | − | 0.689322i | ||||
\(427\) | −91.6262 | − | 637.274i | −0.0103843 | − | 0.0722245i | ||||
\(428\) | 693.943 | − | 494.154i | 0.0783714 | − | 0.0558081i | ||||
\(429\) | −2049.63 | − | 68.9993i | −0.230669 | − | 0.00776531i | ||||
\(430\) | −384.264 | − | 959.844i | −0.0430950 | − | 0.107646i | ||||
\(431\) | −2263.63 | − | 1306.91i | −0.252982 | − | 0.146060i | 0.368147 | − | 0.929768i | \(-0.379992\pi\) |
−0.621129 | + | 0.783708i | \(0.713326\pi\) | |||||||
\(432\) | −11047.7 | − | 1653.36i | −1.23040 | − | 0.184138i | ||||
\(433\) | 3747.48 | − | 4765.31i | 0.415918 | − | 0.528883i | −0.532277 | − | 0.846570i | \(-0.678664\pi\) |
0.948196 | + | 0.317687i | \(0.102906\pi\) | |||||||
\(434\) | 1756.24 | − | 7239.30i | 0.194244 | − | 0.800686i | ||||
\(435\) | 10006.0 | + | 8428.79i | 1.10288 | + | 0.929033i | ||||
\(436\) | 3767.69 | − | 179.477i | 0.413852 | − | 0.0197142i | ||||
\(437\) | 3299.93 | + | 800.555i | 0.361229 | + | 0.0876332i | ||||
\(438\) | 1029.78 | + | 6515.74i | 0.112339 | + | 0.710809i | ||||
\(439\) | 3441.81 | + | 5961.39i | 0.374188 | + | 0.648113i | 0.990205 | − | 0.139620i | \(-0.0445882\pi\) |
−0.616017 | + | 0.787733i | \(0.711255\pi\) | |||||||
\(440\) | −513.259 | + | 888.991i | −0.0556106 | + | 0.0963204i | ||||
\(441\) | 2282.17 | + | 4649.48i | 0.246428 | + | 0.502050i | ||||
\(442\) | −530.656 | − | 612.409i | −0.0571057 | − | 0.0659035i | ||||
\(443\) | 2942.45 | + | 4132.09i | 0.315576 | + | 0.443164i | 0.941647 | − | 0.336602i | \(-0.109278\pi\) |
−0.626072 | + | 0.779766i | \(0.715338\pi\) | |||||||
\(444\) | −485.410 | + | 702.190i | −0.0518841 | + | 0.0750550i | ||||
\(445\) | 12127.7 | + | 5538.52i | 1.29192 | + | 0.590002i | ||||
\(446\) | 5274.71 | + | 21742.6i | 0.560010 | + | 2.30839i | ||||
\(447\) | 625.709 | − | 1256.43i | 0.0662081 | − | 0.132947i | ||||
\(448\) | −59.9582 | − | 311.093i | −0.00632313 | − | 0.0328075i | ||||
\(449\) | −5299.36 | − | 5557.81i | −0.556998 | − | 0.584163i | 0.383678 | − | 0.923467i | \(-0.374657\pi\) |
−0.940677 | + | 0.339304i | \(0.889809\pi\) | |||||||
\(450\) | −1295.98 | + | 3060.98i | −0.135762 | + | 0.320658i | ||||
\(451\) | −197.797 | + | 277.768i | −0.0206517 | + | 0.0290013i | ||||
\(452\) | 6049.00 | − | 577.609i | 0.629471 | − | 0.0601072i | ||||
\(453\) | −8397.13 | − | 11450.7i | −0.870931 | − | 1.18764i | ||||
\(454\) | 601.582 | + | 936.080i | 0.0621887 | + | 0.0967674i | ||||
\(455\) | 3770.08 | + | 8255.33i | 0.388449 | + | 0.850584i | ||||
\(456\) | −7083.81 | − | 576.840i | −0.727478 | − | 0.0592390i | ||||
\(457\) | −1368.90 | − | 548.024i | −0.140119 | − | 0.0560951i | 0.300543 | − | 0.953768i | \(-0.402832\pi\) |
−0.440662 | + | 0.897673i | \(0.645256\pi\) | |||||||
\(458\) | −4283.89 | + | 1482.67i | −0.437059 | + | 0.151267i | ||||
\(459\) | −74.8591 | − | 542.814i | −0.00761247 | − | 0.0551991i | ||||
\(460\) | 941.013 | − | 1464.25i | 0.0953804 | − | 0.148415i | ||||
\(461\) | −6171.18 | − | 887.282i | −0.623472 | − | 0.0896418i | −0.176664 | − | 0.984271i | \(-0.556530\pi\) |
−0.446809 | + | 0.894630i | \(0.647440\pi\) | |||||||
\(462\) | 411.354 | − | 1476.84i | 0.0414241 | − | 0.148721i | ||||
\(463\) | 782.580 | + | 270.854i | 0.0785520 | + | 0.0271871i | 0.366061 | − | 0.930591i | \(-0.380706\pi\) |
−0.287509 | + | 0.957778i | \(0.592827\pi\) | |||||||
\(464\) | 11990.5 | + | 10389.8i | 1.19966 | + | 1.03951i | ||||
\(465\) | −8361.49 | + | 7451.98i | −0.833881 | + | 0.743177i | ||||
\(466\) | 21693.4 | + | 6369.76i | 2.15650 | + | 0.633205i | ||||
\(467\) | 9159.60 | + | 436.326i | 0.907614 | + | 0.0432350i | 0.496195 | − | 0.868211i | \(-0.334730\pi\) |
0.411419 | + | 0.911446i | \(0.365033\pi\) | |||||||
\(468\) | −7257.42 | + | 548.954i | −0.716826 | + | 0.0542209i | ||||
\(469\) | −6680.00 | − | 918.853i | −0.657684 | − | 0.0904663i | ||||
\(470\) | − | 16637.5i | − | 1.63283i | ||||||
\(471\) | 10354.7 | − | 10152.7i | 1.01300 | − | 0.993231i | ||||
\(472\) | 1693.24 | − | 5766.65i | 0.165122 | − | 0.562355i | ||||
\(473\) | 14.7955 | − | 154.946i | 0.00143827 | − | 0.0150622i | ||||
\(474\) | 1038.30 | + | 9474.91i | 0.100613 | + | 0.918137i | ||||
\(475\) | −1289.64 | + | 3726.16i | −0.124574 | + | 0.359933i | ||||
\(476\) | 196.960 | − | 101.540i | 0.0189656 | − | 0.00977747i | ||||
\(477\) | −3884.18 | − | 261.812i | −0.372839 | − | 0.0251312i | ||||
\(478\) | 2700.36 | + | 1735.42i | 0.258392 | + | 0.166059i | ||||
\(479\) | 9154.94 | − | 9601.43i | 0.873278 | − | 0.915867i | −0.123796 | − | 0.992308i | \(-0.539507\pi\) |
0.997074 | + | 0.0764402i | \(0.0243554\pi\) | |||||||
\(480\) | −4933.60 | + | 11214.4i | −0.469140 | + | 1.06639i | ||||
\(481\) | 772.940 | − | 1930.71i | 0.0732703 | − | 0.183020i | ||||
\(482\) | 11565.7 | − | 9095.35i | 1.09295 | − | 0.859506i | ||||
\(483\) | 598.557 | − | 1810.74i | 0.0563877 | − | 0.170583i | ||||
\(484\) | −4989.70 | + | 3206.69i | −0.468605 | + | 0.301154i | ||||
\(485\) | 3441.89 | − | 17858.2i | 0.322243 | − | 1.67196i | ||||
\(486\) | −11797.4 | − | 6467.28i | −1.10111 | − | 0.603625i | ||||
\(487\) | −3685.02 | − | 2624.09i | −0.342883 | − | 0.244166i | 0.395622 | − | 0.918413i | \(-0.370529\pi\) |
−0.738506 | + | 0.674247i | \(0.764468\pi\) | |||||||
\(488\) | −288.517 | + | 559.646i | −0.0267635 | + | 0.0519139i | ||||
\(489\) | 13799.4 | − | 192.492i | 1.27614 | − | 0.0178012i | ||||
\(490\) | 8453.40 | − | 1629.26i | 0.779358 | − | 0.150209i | ||||
\(491\) | −4995.79 | − | 17014.1i | −0.459179 | − | 1.56382i | −0.785687 | − | 0.618625i | \(-0.787690\pi\) |
0.326508 | − | 0.945194i | \(-0.394128\pi\) | |||||||
\(492\) | −590.412 | + | 1056.38i | −0.0541013 | + | 0.0967997i | ||||
\(493\) | −323.297 | + | 707.922i | −0.0295346 | + | 0.0646718i | ||||
\(494\) | −23360.8 | + | 3358.77i | −2.12763 | + | 0.305908i | ||||
\(495\) | −1771.42 | + | 1474.85i | −0.160847 | + | 0.133918i | ||||
\(496\) | −10265.0 | + | 8894.66i | −0.929257 | + | 0.805206i | ||||
\(497\) | −4060.96 | + | 1625.76i | −0.366517 | + | 0.146731i | ||||
\(498\) | −3424.91 | − | 11089.6i | −0.308180 | − | 0.997861i | ||||
\(499\) | 18150.1 | − | 10478.9i | 1.62827 | − | 0.940084i | 0.643666 | − | 0.765307i | \(-0.277413\pi\) |
0.984608 | − | 0.174778i | \(-0.0559207\pi\) | |||||||
\(500\) | −4140.43 | − | 3256.07i | −0.370331 | − | 0.291232i | ||||
\(501\) | −11805.8 | − | 17818.7i | −1.05278 | − | 1.58898i | ||||
\(502\) | −14.7512 | − | 309.667i | −0.00131151 | − | 0.0275321i | ||||
\(503\) | −625.779 | − | 13136.7i | −0.0554714 | − | 1.16449i | −0.839356 | − | 0.543582i | \(-0.817068\pi\) |
0.783885 | − | 0.620906i | \(-0.213235\pi\) | |||||||
\(504\) | −645.807 | + | 3939.08i | −0.0570765 | + | 0.348136i | ||||
\(505\) | 14658.8 | + | 11527.8i | 1.29170 | + | 1.01581i | ||||
\(506\) | 620.345 | − | 358.156i | 0.0545013 | − | 0.0314664i | ||||
\(507\) | 6034.33 | − | 1863.65i | 0.528588 | − | 0.163250i | ||||
\(508\) | −4455.87 | + | 1783.86i | −0.389168 | + | 0.155799i | ||||
\(509\) | −6734.27 | + | 5835.28i | −0.586427 | + | 0.508142i | −0.896778 | − | 0.442480i | \(-0.854099\pi\) |
0.310351 | + | 0.950622i | \(0.399553\pi\) | |||||||
\(510\) | −903.235 | − | 117.031i | −0.0784234 | − | 0.0101612i | ||||
\(511\) | 4350.06 | − | 625.445i | 0.376586 | − | 0.0541449i | ||||
\(512\) | −2990.32 | + | 6547.88i | −0.258115 | + | 0.565192i | ||||
\(513\) | −14478.5 | − | 6713.09i | −1.24609 | − | 0.577759i | ||||
\(514\) | −1106.64 | − | 3768.87i | −0.0949646 | − | 0.323420i | ||||
\(515\) | 11166.1 | − | 2152.09i | 0.955411 | − | 0.184140i | ||||
\(516\) | −7.70476 | − | 552.342i | −0.000657332 | − | 0.0471231i | ||||
\(517\) | 1147.73 | − | 2226.28i | 0.0976345 | − | 0.189385i | ||||
\(518\) | 1266.39 | + | 901.789i | 0.107417 | + | 0.0764910i | ||||
\(519\) | −2976.12 | + | 3895.05i | −0.251709 | + | 0.329429i | ||||
\(520\) | 1679.69 | − | 8715.07i | 0.141653 | − | 0.734964i | ||||
\(521\) | −11506.9 | + | 7395.01i | −0.967609 | + | 0.621845i | −0.926094 | − | 0.377293i | \(-0.876855\pi\) |
−0.0415153 | + | 0.999138i | \(0.513219\pi\) | |||||||
\(522\) | 9226.25 | + | 16733.3i | 0.773606 | + | 1.40306i | ||||
\(523\) | 15272.9 | − | 12010.7i | 1.27693 | − | 1.00419i | 0.277883 | − | 0.960615i | \(-0.410367\pi\) |
0.999050 | − | 0.0435767i | \(-0.0138753\pi\) | |||||||
\(524\) | −2118.00 | + | 5290.50i | −0.176575 | + | 0.441062i | ||||
\(525\) | 2027.05 | + | 891.764i | 0.168510 | + | 0.0741329i | ||||
\(526\) | 9782.98 | − | 10260.1i | 0.810947 | − | 0.850497i | ||||
\(527\) | −560.491 | − | 360.206i | −0.0463290 | − | 0.0297738i | ||||
\(528\) | −2172.92 | + | 1758.40i | −0.179099 | + | 0.144933i | ||||
\(529\) | −10022.4 | + | 5166.92i | −0.823739 | + | 0.424667i | ||||
\(530\) | −2116.39 | + | 6114.89i | −0.173453 | + | 0.501159i | ||||
\(531\) | 8043.22 | − | 10836.7i | 0.657337 | − | 0.885639i | ||||
\(532\) | 613.484 | − | 6424.69i | 0.0499960 | − | 0.523582i | ||||
\(533\) | 830.637 | − | 2828.89i | 0.0675026 | − | 0.229893i | ||||
\(534\) | 13633.0 | + | 13904.3i | 1.10479 | + | 1.12677i | ||||
\(535\) | 2332.75i | 0.188512i | ||||||||
\(536\) | 4800.21 | + | 4521.37i | 0.386824 | + | 0.364354i | ||||
\(537\) | 12878.0 | + | 11940.7i | 1.03488 | + | 0.959554i | ||||
\(538\) | −17794.3 | − | 847.646i | −1.42596 | − | 0.0679268i | ||||
\(539\) | 1243.55 | + | 365.140i | 0.0993758 | + | 0.0291794i | ||||
\(540\) | −5679.08 | + | 5887.83i | −0.452572 | + | 0.469207i | ||||
\(541\) | −8335.56 | − | 7222.81i | −0.662429 | − | 0.573998i | 0.257406 | − | 0.966303i | \(-0.417132\pi\) |
−0.919835 | + | 0.392306i | \(0.871678\pi\) | |||||||
\(542\) | 1749.89 | + | 605.642i | 0.138679 | + | 0.0479973i | ||||
\(543\) | −9672.58 | − | 2694.17i | −0.764439 | − | 0.212924i | ||||
\(544\) | −721.383 | − | 103.719i | −0.0568549 | − | 0.00817450i | ||||
\(545\) | −5584.09 | + | 8689.02i | −0.438892 | + | 0.682929i | ||||
\(546\) | 815.314 | + | 13230.0i | 0.0639051 | + | 1.03698i | ||||
\(547\) | 14496.2 | − | 5017.18i | 1.13311 | − | 0.392174i | 0.304786 | − | 0.952421i | \(-0.401415\pi\) |
0.828326 | + | 0.560247i | \(0.189294\pi\) | |||||||
\(548\) | −13242.4 | − | 5301.44i | −1.03227 | − | 0.413260i | ||||
\(549\) | −1042.26 | + | 955.309i | −0.0810251 | + | 0.0742652i | ||||
\(550\) | 345.534 | + | 756.615i | 0.0267884 | + | 0.0586585i | ||||
\(551\) | 12254.5 | + | 19068.3i | 0.947475 | + | 1.47430i | ||||
\(552\) | −1504.01 | + | 1102.94i | −0.115969 | + | 0.0850439i | ||||
\(553\) | 6321.40 | − | 603.621i | 0.486100 | − | 0.0464169i | ||||
\(554\) | 4410.98 | − | 6194.35i | 0.338275 | − | 0.475041i | ||||
\(555\) | −795.252 | − | 2198.05i | −0.0608227 | − | 0.168112i | ||||
\(556\) | 6993.28 | + | 7334.34i | 0.533419 | + | 0.559434i | ||||
\(557\) | 2537.35 | + | 13165.0i | 0.193018 | + | 1.00147i | 0.941167 | + | 0.337942i | \(0.109731\pi\) |
−0.748149 | + | 0.663531i | \(0.769057\pi\) | |||||||
\(558\) | −15303.6 | + | 5779.46i | −1.16102 | + | 0.438466i | ||||
\(559\) | 317.280 | + | 1307.85i | 0.0240063 | + | 0.0989554i | ||||
\(560\) | 11252.2 | + | 5138.71i | 0.849093 | + | 0.387768i | ||||
\(561\) | −112.789 | − | 77.9692i | −0.00848837 | − | 0.00586785i | ||||
\(562\) | 6462.15 | + | 9074.82i | 0.485034 | + | 0.681135i | ||||
\(563\) | 7050.00 | + | 8136.14i | 0.527748 | + | 0.609054i | 0.955554 | − | 0.294817i | \(-0.0952587\pi\) |
−0.427806 | + | 0.903871i | \(0.640713\pi\) | |||||||
\(564\) | 3188.32 | − | 8297.64i | 0.238037 | − | 0.619493i | ||||
\(565\) | −8319.57 | + | 14409.9i | −0.619482 | + | 1.07297i | ||||
\(566\) | −4468.08 | − | 7738.95i | −0.331815 | − | 0.574721i | ||||
\(567\) | −4417.84 | + | 7798.80i | −0.327216 | + | 0.577634i | ||||
\(568\) | 4157.31 | + | 1008.55i | 0.307107 | + | 0.0745034i | ||||
\(569\) | 690.250 | − | 32.8807i | 0.0508555 | − | 0.00242255i | −0.0221387 | − | 0.999755i | \(-0.507048\pi\) |
0.0729943 | + | 0.997332i | \(0.476745\pi\) | |||||||
\(570\) | −17090.0 | + | 20287.9i | −1.25582 | + | 1.49082i | ||||
\(571\) | −5904.77 | + | 24339.8i | −0.432761 | + | 1.78387i | 0.169459 | + | 0.985537i | \(0.445798\pi\) |
−0.602221 | + | 0.798330i | \(0.705717\pi\) | |||||||
\(572\) | −1125.81 | + | 1431.59i | −0.0822946 | + | 0.104646i | ||||
\(573\) | −5842.51 | + | 25638.9i | −0.425958 | + | 1.86925i | ||||
\(574\) | 1908.72 | + | 1102.00i | 0.138795 | + | 0.0801335i | ||||
\(575\) | 384.569 | + | 960.606i | 0.0278915 | + | 0.0696697i | ||||
\(576\) | −489.935 | + | 493.965i | −0.0354409 | + | 0.0357324i | ||||
\(577\) | 3508.45 | − | 2498.36i | 0.253135 | − | 0.180256i | −0.446445 | − | 0.894811i | \(-0.647310\pi\) |
0.699580 | + | 0.714555i | \(0.253371\pi\) | |||||||
\(578\) | 2475.61 | + | 17218.2i | 0.178152 | + | 1.23907i | ||||
\(579\) | 7106.04 | − | 2960.49i | 0.510047 | − | 0.212493i | ||||
\(580\) | 11291.0 | − | 2739.17i | 0.808333 | − | 0.196099i | ||||
\(581\) | −7419.18 | + | 2178.47i | −0.529776 | + | 0.155556i | ||||
\(582\) | 14047.8 | − | 22544.1i | 1.00052 | − | 1.60564i | ||||
\(583\) | −705.028 | + | 672.243i | −0.0500845 | + | 0.0477555i | ||||
\(584\) | −3820.17 | − | 1969.43i | −0.270684 | − | 0.139547i | ||||
\(585\) | 10302.9 | − | 17059.8i | 0.728158 | − | 1.20570i | ||||
\(586\) | −2580.46 | − | 27023.8i | −0.181908 | − | 1.90502i | ||||
\(587\) | −11934.0 | − | 2300.10i | −0.839132 | − | 0.161729i | −0.248461 | − | 0.968642i | \(-0.579925\pi\) |
−0.590671 | + | 0.806913i | \(0.701137\pi\) | |||||||
\(588\) | 4528.20 | + | 807.402i | 0.317584 | + | 0.0566271i | ||||
\(589\) | −17651.2 | + | 8061.04i | −1.23481 | + | 0.563921i | ||||
\(590\) | −13866.4 | − | 17632.5i | −0.967575 | − | 1.23037i | ||||
\(591\) | 1919.09 | + | 4051.68i | 0.133571 | + | 0.282003i | ||||
\(592\) | −927.125 | − | 2678.75i | −0.0643659 | − | 0.185973i | ||||
\(593\) | 2769.20 | + | 2640.43i | 0.191766 | + | 0.182849i | 0.779879 | − | 0.625930i | \(-0.215280\pi\) |
−0.588113 | + | 0.808779i | \(0.700129\pi\) | |||||||
\(594\) | −3187.70 | + | 1082.77i | −0.220190 | + | 0.0747925i | ||||
\(595\) | −86.3542 | + | 600.607i | −0.00594988 | + | 0.0413823i | ||||
\(596\) | −571.178 | − | 1107.93i | −0.0392556 | − | 0.0761453i | ||||
\(597\) | −5817.41 | + | 3102.55i | −0.398812 | + | 0.212695i | ||||
\(598\) | −4055.79 | + | 4680.63i | −0.277347 | + | 0.320076i | ||||
\(599\) | −27923.7 | − | 2666.39i | −1.90473 | − | 0.181880i | −0.924695 | − | 0.380708i | \(-0.875680\pi\) |
−0.980034 | + | 0.198828i | \(0.936286\pi\) | |||||||
\(600\) | −1108.92 | − | 1860.29i | −0.0754525 | − | 0.126577i | ||||
\(601\) | −316.538 | + | 6644.95i | −0.0214839 | + | 0.451003i | 0.962338 | + | 0.271855i | \(0.0876372\pi\) |
−0.983822 | + | 0.179148i | \(0.942666\pi\) | |||||||
\(602\) | −1006.03 | −0.0681111 | ||||||||
\(603\) | 6605.50 | + | 13252.3i | 0.446098 | + | 0.894984i | ||||
\(604\) | −12610.2 | −0.849505 | ||||||||
\(605\) | 772.799 | − | 16223.0i | 0.0519318 | − | 1.09018i | ||||
\(606\) | 13946.3 | + | 23395.9i | 0.934867 | + | 1.56831i | ||||
\(607\) | 3335.76 | + | 318.526i | 0.223055 | + | 0.0212991i | 0.205985 | − | 0.978555i | \(-0.433960\pi\) |
0.0170697 | + | 0.999854i | \(0.494566\pi\) | |||||||
\(608\) | −13900.3 | + | 16041.8i | −0.927192 | + | 1.07004i | ||||
\(609\) | 11232.7 | − | 5990.62i | 0.747408 | − | 0.398608i | ||||
\(610\) | 1076.84 | + | 2088.78i | 0.0714756 | + | 0.138643i | ||||
\(611\) | −3082.00 | + | 21435.8i | −0.204066 | + | 1.41931i | ||||
\(612\) | −428.044 | − | 231.458i | −0.0282723 | − | 0.0152878i | ||||
\(613\) | 18082.5 | + | 17241.6i | 1.19143 | + | 1.13602i | 0.987596 | + | 0.157017i | \(0.0501878\pi\) |
0.203831 | + | 0.979006i | \(0.434661\pi\) | |||||||
\(614\) | −11274.0 | − | 32574.1i | −0.741014 | − | 2.14102i | ||||
\(615\) | −1418.51 | − | 2994.84i | −0.0930080 | − | 0.196364i | ||||
\(616\) | 617.446 | + | 785.147i | 0.0403858 | + | 0.0513547i | ||||
\(617\) | −6725.87 | + | 3071.60i | −0.438854 | + | 0.200418i | −0.622575 | − | 0.782560i | \(-0.713913\pi\) |
0.183720 | + | 0.982979i | \(0.441186\pi\) | |||||||
\(618\) | 16350.8 | + | 2915.44i | 1.06428 | + | 0.189768i | ||||
\(619\) | −18172.2 | − | 3502.41i | −1.17997 | − | 0.227421i | −0.438705 | − | 0.898631i | \(-0.644563\pi\) |
−0.741267 | + | 0.671210i | \(0.765775\pi\) | |||||||
\(620\) | 945.480 | + | 9901.52i | 0.0612442 | + | 0.641378i | ||||
\(621\) | −4025.06 | + | 1156.75i | −0.260097 | + | 0.0747482i | ||||
\(622\) | 13476.0 | + | 6947.37i | 0.868712 | + | 0.447852i | ||||
\(623\) | 9389.07 | − | 8952.46i | 0.603796 | − | 0.575719i | ||||
\(624\) | 12781.6 | − | 20512.1i | 0.819990 | − | 1.31593i | ||||
\(625\) | 17996.6 | − | 5284.27i | 1.15178 | − | 0.338194i | ||||
\(626\) | −19812.1 | + | 4806.37i | −1.26494 | + | 0.306871i | ||||
\(627\) | −3686.37 | + | 1535.80i | −0.234800 | + | 0.0978212i | ||||
\(628\) | −1832.78 | − | 12747.3i | −0.116459 | − | 0.809988i | ||||
\(629\) | 113.264 | − | 80.6552i | 0.00717988 | − | 0.00511277i | ||||
\(630\) | 10577.7 | + | 10491.4i | 0.668931 | + | 0.663473i | ||||
\(631\) | 6826.97 | + | 17052.9i | 0.430709 | + | 1.07586i | 0.971991 | + | 0.235018i | \(0.0755147\pi\) |
−0.541282 | + | 0.840841i | \(0.682061\pi\) | |||||||
\(632\) | −5378.21 | − | 3105.11i | −0.338503 | − | 0.195435i | ||||
\(633\) | −5192.89 | + | 22788.1i | −0.326064 | + | 1.43088i | ||||
\(634\) | 949.765 | − | 1207.72i | 0.0594952 | − | 0.0756543i | ||||
\(635\) | 3098.54 | − | 12772.3i | 0.193641 | − | 0.798197i | ||||
\(636\) | −2227.33 | + | 2644.12i | −0.138867 | + | 0.164852i | ||||
\(637\) | −11193.2 | + | 533.197i | −0.696217 | + | 0.0331649i | ||||
\(638\) | 4646.73 | + | 1127.29i | 0.288348 | + | 0.0699524i | ||||
\(639\) | 7977.10 | + | 5351.54i | 0.493849 | + | 0.331305i | ||||
\(640\) | −8853.16 | − | 15334.1i | −0.546800 | − | 0.947085i | ||||
\(641\) | −14434.2 | + | 25000.8i | −0.889418 | + | 1.54052i | −0.0488540 | + | 0.998806i | \(0.515557\pi\) |
−0.840564 | + | 0.541712i | \(0.817776\pi\) | |||||||
\(642\) | −1222.05 | + | 3180.39i | −0.0751251 | + | 0.195514i | ||||
\(643\) | −5603.38 | − | 6466.64i | −0.343663 | − | 0.396609i | 0.557437 | − | 0.830219i | \(-0.311785\pi\) |
−0.901100 | + | 0.433611i | \(0.857239\pi\) | |||||||
\(644\) | −982.403 | − | 1379.59i | −0.0601120 | − | 0.0844155i | ||||
\(645\) | 1244.25 | + | 860.129i | 0.0759573 | + | 0.0525078i | ||||
\(646\) | −1435.36 | − | 655.507i | −0.0874203 | − | 0.0399235i | ||||
\(647\) | −1059.62 | − | 4367.83i | −0.0643866 | − | 0.265405i | 0.930515 | − | 0.366253i | \(-0.119360\pi\) |
−0.994902 | + | 0.100848i | \(0.967844\pi\) | |||||||
\(648\) | 7943.42 | − | 3706.59i | 0.481554 | − | 0.224705i | ||||
\(649\) | −639.104 | − | 3315.99i | −0.0386549 | − | 0.200561i | ||||
\(650\) | −4962.86 | − | 5204.90i | −0.299476 | − | 0.314081i | ||||
\(651\) | 3707.81 | + | 10248.2i | 0.223227 | + | 0.616990i | ||||
\(652\) | 7109.14 | − | 9983.39i | 0.427018 | − | 0.599662i | ||||
\(653\) | −6878.40 | + | 656.808i | −0.412209 | + | 0.0393612i | −0.299101 | − | 0.954221i | \(-0.596687\pi\) |
−0.113108 | + | 0.993583i | \(0.536081\pi\) | |||||||
\(654\) | −12165.0 | + | 8920.97i | −0.727354 | + | 0.533391i | ||||
\(655\) | −8436.50 | − | 13127.4i | −0.503269 | − | 0.783102i | ||||
\(656\) | −1669.40 | − | 3655.47i | −0.0993582 | − | 0.217564i | ||||
\(657\) | −6520.98 | − | 7114.54i | −0.387226 | − | 0.422473i | ||||
\(658\) | −15029.4 | − | 6016.85i | −0.890434 | − | 0.356476i | ||||
\(659\) | 18039.6 | − | 6243.56i | 1.06635 | − | 0.369066i | 0.263134 | − | 0.964759i | \(-0.415244\pi\) |
0.803212 | + | 0.595693i | \(0.203123\pi\) | |||||||
\(660\) | 125.910 | + | 2043.12i | 0.00742579 | + | 0.120498i | ||||
\(661\) | 3246.87 | − | 5052.23i | 0.191057 | − | 0.297291i | −0.732488 | − | 0.680780i | \(-0.761641\pi\) |
0.923546 | + | 0.383489i | \(0.125278\pi\) | |||||||
\(662\) | 28093.3 | + | 4039.21i | 1.64936 | + | 0.237142i | ||||
\(663\) | 1142.05 | + | 318.103i | 0.0668983 | + | 0.0186336i | ||||
\(664\) | 7146.10 | + | 2473.29i | 0.417654 | + | 0.144552i | ||||
\(665\) | 13356.0 | + | 11573.1i | 0.778835 | + | 0.674864i | ||||
\(666\) | 67.2624 | − | 3413.34i | 0.00391346 | − | 0.198595i | ||||
\(667\) | 5707.21 | + | 1675.79i | 0.331310 | + | 0.0972815i | ||||
\(668\) | −18960.6 | − | 903.207i | −1.09822 | − | 0.0523145i | ||||
\(669\) | −24002.3 | − | 22255.3i | −1.38712 | − | 1.28616i | ||||
\(670\) | 24138.5 | − | 4805.32i | 1.39187 | − | 0.277083i | ||||
\(671\) | 353.788i | 0.0203544i | ||||||||
\(672\) | 8346.28 | + | 8512.37i | 0.479114 | + | 0.488648i | ||||
\(673\) | −5050.34 | + | 17199.9i | −0.289267 | + | 0.985151i | 0.678772 | + | 0.734349i | \(0.262513\pi\) |
−0.968038 | + | 0.250802i | \(0.919306\pi\) | |||||||
\(674\) | 1658.74 | − | 17371.1i | 0.0947957 | − | 0.992746i | ||||
\(675\) | −892.849 | − | 4780.42i | −0.0509122 | − | 0.272590i | ||||
\(676\) | 1834.40 | − | 5300.15i | 0.104370 | − | 0.301556i | ||||
\(677\) | −210.258 | + | 108.396i | −0.0119363 | + | 0.00615359i | −0.464184 | − | 0.885739i | \(-0.653652\pi\) |
0.452248 | + | 0.891892i | \(0.350622\pi\) | |||||||
\(678\) | −18891.4 | + | 15287.6i | −1.07009 | + | 0.865955i | ||||
\(679\) | −14887.3 | − | 9567.51i | −0.841419 | − | 0.540747i | ||||
\(680\) | 409.501 | − | 429.472i | 0.0230936 | − | 0.0242198i | ||||
\(681\) | −1490.10 | − | 655.542i | −0.0838482 | − | 0.0368876i | ||||
\(682\) | −1521.38 | + | 3800.22i | −0.0854202 | + | 0.213369i | ||||
\(683\) | 13832.1 | − | 10877.7i | 0.774922 | − | 0.609405i | −0.150384 | − | 0.988628i | \(-0.548051\pi\) |
0.925306 | + | 0.379222i | \(0.123808\pi\) | |||||||
\(684\) | −12411.2 | + | 6843.16i | −0.693790 | + | 0.382536i | ||||
\(685\) | 32858.6 | − | 21116.9i | 1.83279 | − | 1.17786i | ||||
\(686\) | 4420.01 | − | 22933.2i | 0.246001 | − | 1.27637i | ||||
\(687\) | 4026.59 | − | 5269.87i | 0.223616 | − | 0.292661i | ||||
\(688\) | 1494.20 | + | 1064.02i | 0.0827994 | + | 0.0589612i | ||||
\(689\) | 3859.51 | − | 7486.40i | 0.213404 | − | 0.413946i | ||||
\(690\) | 97.0929 | + | 6960.43i | 0.00535690 | + | 0.384028i | ||||
\(691\) | −8356.38 | + | 1610.56i | −0.460046 | + | 0.0886666i | −0.414008 | − | 0.910273i | \(-0.635872\pi\) |
−0.0460377 | + | 0.998940i | \(0.514659\pi\) | |||||||
\(692\) | 1226.44 | + | 4176.86i | 0.0673731 | + | 0.229452i | ||||
\(693\) | 691.673 | + | 2133.56i | 0.0379141 | + | 0.116952i | ||||
\(694\) | −146.150 | + | 320.024i | −0.00799392 | + | 0.0175042i | ||||
\(695\) | −27467.3 | + | 3949.20i | −1.49913 | + | 0.215542i | ||||
\(696\) | −12346.6 | − | 1599.73i | −0.672407 | − | 0.0871232i | ||||
\(697\) | 148.976 | − | 129.089i | 0.00809595 | − | 0.00701518i | ||||
\(698\) | 22264.4 | − | 8913.32i | 1.20734 | − | 0.483344i | ||||
\(699\) | −31604.6 | + | 9760.77i | −1.71015 | + | 0.528164i | ||||
\(700\) | 1703.16 | − | 983.322i | 0.0919622 | − | 0.0530944i | ||||
\(701\) | −24763.7 | − | 19474.4i | −1.33425 | − | 1.04927i | −0.994051 | − | 0.108915i | \(-0.965262\pi\) |
−0.340201 | − | 0.940353i | \(-0.610495\pi\) | |||||||
\(702\) | 22983.6 | − | 17861.4i | 1.23570 | − | 0.960307i | ||||
\(703\) | −192.695 | − | 4045.17i | −0.0103380 | − | 0.217022i | ||||
\(704\) | 8.28372 | + | 173.897i | 0.000443472 | + | 0.00930963i | ||||
\(705\) | 13444.0 | + | 20291.3i | 0.718197 | + | 1.08399i | ||||
\(706\) | 6438.61 | + | 5063.38i | 0.343230 | + | 0.269919i | ||||
\(707\) | 15714.9 | − | 9072.99i | 0.835953 | − | 0.482638i | ||||
\(708\) | −3536.58 | − | 11451.2i | −0.187730 | − | 0.607854i | ||||
\(709\) | −19295.2 | + | 7724.62i | −1.02207 | + | 0.409173i | −0.821319 | − | 0.570470i | \(-0.806761\pi\) |
−0.200747 | + | 0.979643i | \(0.564337\pi\) | |||||||
\(710\) | 12066.7 | − | 10455.9i | 0.637825 | − | 0.552678i | ||||
\(711\) | −8922.53 | − | 10716.7i | −0.470634 | − | 0.565270i | ||||
\(712\) | −12558.1 | + | 1805.58i | −0.661002 | + | 0.0950378i | ||||
\(713\) | −2115.37 | + | 4632.02i | −0.111110 | + | 0.243297i | ||||
\(714\) | −432.369 | + | 773.607i | −0.0226625 | + | 0.0405483i | ||||
\(715\) | −1405.01 | − | 4785.02i | −0.0734886 | − | 0.250279i | ||||
\(716\) | 15314.3 | − | 2951.60i | 0.799335 | − | 0.154059i | ||||
\(717\) | −4695.69 | + | 65.5013i | −0.244580 | + | 0.00341170i | ||||
\(718\) | 588.947 | − | 1142.40i | 0.0306118 | − | 0.0593787i | ||||
\(719\) | 14183.4 | + | 10099.9i | 0.735676 | + | 0.523872i | 0.885385 | − | 0.464858i | \(-0.153895\pi\) |
−0.149710 | + | 0.988730i | \(0.547834\pi\) | |||||||
\(720\) | −4614.39 | − | 26769.7i | −0.238845 | − | 1.38562i | ||||
\(721\) | 2094.07 | − | 10865.1i | 0.108166 | − | 0.561217i | ||||
\(722\) | −18168.6 | + | 11676.3i | −0.936517 | + | 0.601863i | ||||
\(723\) | −6756.09 | + | 20438.4i | −0.347527 | + | 1.05133i | ||||
\(724\) | −7009.11 | + | 5512.03i | −0.359795 | + | 0.282946i | ||||
\(725\) | −2567.07 | + | 6412.22i | −0.131501 | + | 0.328475i | ||||
\(726\) | 9552.28 | − | 21713.0i | 0.488317 | − | 1.10998i | ||||
\(727\) | 7363.56 | − | 7722.67i | 0.375652 | − | 0.393973i | −0.508584 | − | 0.861012i | \(-0.669831\pi\) |
0.884236 | + | 0.467040i | \(0.154679\pi\) | |||||||
\(728\) | −7265.24 | − | 4669.09i | −0.369873 | − | 0.237703i | ||||
\(729\) | 19614.1 | − | 1645.35i | 0.996500 | − | 0.0835924i | ||||
\(730\) | −14258.1 | + | 7350.58i | −0.722901 | + | 0.372681i | ||||
\(731\) | −29.4292 | + | 85.0300i | −0.00148902 | + | 0.00430225i | ||||
\(732\) | 136.772 | + | 1248.10i | 0.00690605 | + | 0.0630208i | ||||
\(733\) | −2602.99 | + | 27259.7i | −0.131165 | + | 1.37362i | 0.655013 | + | 0.755617i | \(0.272663\pi\) |
−0.786178 | + | 0.618000i | \(0.787943\pi\) | |||||||
\(734\) | 8707.52 | − | 29655.1i | 0.437875 | − | 1.49127i | ||||
\(735\) | −8993.31 | + | 8817.84i | −0.451324 | + | 0.442518i | ||||
\(736\) | 5570.21i | 0.278968i | ||||||||
\(737\) | 3561.49 | + | 1022.17i | 0.178004 | + | 0.0510885i | ||||
\(738\) | −365.053 | − | 4826.17i | −0.0182084 | − | 0.240723i | ||||
\(739\) | −2662.76 | − | 126.843i | −0.132545 | − | 0.00631392i | −0.0187956 | − | 0.999823i | \(-0.505983\pi\) |
−0.113750 | + | 0.993509i | \(0.536286\pi\) | |||||||
\(740\) | −1991.75 | − | 584.830i | −0.0989434 | − | 0.0290524i | ||||
\(741\) | 25777.0 | − | 22973.1i | 1.27792 | − | 1.13892i | ||||
\(742\) | 4758.47 | + | 4123.23i | 0.235430 | + | 0.204001i | ||||
\(743\) | 8979.99 | + | 3108.01i | 0.443397 | + | 0.153461i | 0.539639 | − | 0.841897i | \(-0.318561\pi\) |
−0.0962415 | + | 0.995358i | \(0.530682\pi\) | |||||||
\(744\) | 2859.83 | − | 10267.4i | 0.140923 | − | 0.505940i | ||||
\(745\) | 3378.50 | + | 485.755i | 0.166146 | + | 0.0238882i | ||||
\(746\) | −19496.9 | + | 30337.8i | −0.956882 | + | 1.48894i | ||||
\(747\) | 13138.0 | + | 10757.4i | 0.643499 | + | 0.526899i | ||||
\(748\) | −115.070 | + | 39.8261i | −0.00562484 | + | 0.00194677i | ||||
\(749\) | 2107.27 | + | 843.625i | 0.102801 | + | 0.0411554i | ||||
\(750\) | 20996.6 | + | 1709.77i | 1.02225 | + | 0.0832427i | ||||
\(751\) | 6094.32 | + | 13344.7i | 0.296118 | + | 0.648409i | 0.997954 | − | 0.0639296i | \(-0.0203633\pi\) |
−0.701836 | + | 0.712339i | \(0.747636\pi\) | |||||||
\(752\) | 15958.6 | + | 24832.1i | 0.773870 | + | 1.20417i | ||||
\(753\) | 268.217 | + | 365.753i | 0.0129806 | + | 0.0177009i | ||||
\(754\) | −41154.6 | + | 3929.79i | −1.98775 | + | 0.189807i | ||||
\(755\) | 20029.4 | − | 28127.4i | 0.965490 | − | 1.35584i | ||||
\(756\) | 3264.92 | + | 7259.45i | 0.157069 | + | 0.349238i | ||||
\(757\) | 7939.52 | + | 8326.73i | 0.381198 | + | 0.399789i | 0.886180 | − | 0.463341i | \(-0.153349\pi\) |
−0.504982 | + | 0.863130i | \(0.668501\pi\) | |||||||
\(758\) | −7175.21 | − | 37228.5i | −0.343820 | − | 1.78391i | ||||
\(759\) | −467.169 | + | 938.081i | −0.0223415 | + | 0.0448619i | ||||
\(760\) | −4074.65 | − | 16795.9i | −0.194478 | − | 0.801649i | ||||
\(761\) | −17335.8 | − | 7917.00i | −0.825786 | − | 0.377124i | −0.0427388 | − | 0.999086i | \(-0.513608\pi\) |
−0.783047 | + | 0.621963i | \(0.786336\pi\) | |||||||
\(762\) | 10915.4 | − | 15790.1i | 0.518929 | − | 0.750677i | ||||
\(763\) | 5829.70 | + | 8186.68i | 0.276605 | + | 0.388437i | ||||
\(764\) | 15292.7 | + | 17648.7i | 0.724176 | + | 0.835744i | ||||
\(765\) | 1196.16 | − | 587.128i | 0.0565324 | − | 0.0277486i | ||||
\(766\) | −18285.1 | + | 31670.6i | −0.862488 | + | 1.49387i | ||||
\(767\) | 14599.1 | + | 25286.4i | 0.687280 | + | 1.19040i | ||||
\(768\) | −4204.27 | − | 26601.8i | −0.197537 | − | 1.24988i | ||||
\(769\) | 37933.6 | + | 9202.59i | 1.77883 | + | 0.431539i | 0.984419 | − | 0.175841i | \(-0.0562645\pi\) |
0.794411 | + | 0.607381i | \(0.207780\pi\) | |||||||
\(770\) | 3723.81 | − | 177.387i | 0.174281 | − | 0.00830205i | ||||
\(771\) | 4395.11 | + | 3702.32i | 0.205300 | + | 0.172939i | ||||
\(772\) | 1611.74 | − | 6643.66i | 0.0751394 | − | 0.309729i | ||||
\(773\) | 12662.4 | − | 16101.6i | 0.589179 | − | 0.749201i | −0.396463 | − | 0.918051i | \(-0.629763\pi\) |
0.985642 | + | 0.168849i | \(0.0540051\pi\) | |||||||
\(774\) | 1245.78 | + | 1824.49i | 0.0578535 | + | 0.0847286i | ||||
\(775\) | −5120.85 | − | 2956.52i | −0.237350 | − | 0.137034i | ||||
\(776\) | 6432.23 | + | 16066.9i | 0.297556 | + | 0.743259i | ||||
\(777\) | −2273.19 | − | 76.5252i | −0.104955 | − | 0.00353324i | ||||
\(778\) | 12798.9 | − | 9114.06i | 0.589798 | − | 0.419993i | ||||
\(779\) | −817.063 | − | 5682.80i | −0.0375794 | − | 0.261370i | ||||
\(780\) | −6806.48 | − | 16337.6i | −0.312450 | − | 0.749972i | ||||
\(781\) | 2335.95 | − | 566.696i | 0.107025 | − | 0.0259641i | ||||
\(782\) | −397.313 | + | 116.662i | −0.0181687 | + | 0.00533480i | ||||
\(783\) | −24773.8 | − | 12952.8i | −1.13071 | − | 0.591180i | ||||
\(784\) | −11054.2 | + | 10540.2i | −0.503563 | + | 0.480147i | ||||
\(785\) | 31344.3 | + | 16159.1i | 1.42513 | + | 0.734706i | ||||
\(786\) | −4625.00 | − | 22317.1i | −0.209883 | − | 1.01275i | ||||
\(787\) | −2275.53 | − | 23830.4i | −0.103067 | − | 1.07937i | −0.888018 | − | 0.459809i | \(-0.847918\pi\) |
0.784951 | − | 0.619558i | \(-0.212688\pi\) | |||||||
\(788\) | 3909.41 | + | 753.477i | 0.176735 | + | 0.0340628i | ||||
\(789\) | −3640.72 | + | 20418.4i | −0.164275 | + | 0.921313i | ||||
\(790\) | −21084.0 | + | 9628.74i | −0.949538 | + | 0.433640i | ||||
\(791\) | 10008.4 | + | 12726.7i | 0.449882 | + | 0.572072i | ||||
\(792\) | 659.312 | − | 2092.02i | 0.0295803 | − | 0.0938595i | ||||
\(793\) | −1000.47 | − | 2890.67i | −0.0448018 | − | 0.129446i | ||||
\(794\) | −145.692 | − | 138.917i | −0.00651187 | − | 0.00620906i | ||||
\(795\) | −2359.99 | − | 9167.93i | −0.105283 | − | 0.408997i | ||||
\(796\) | −833.257 | + | 5795.43i | −0.0371030 | + | 0.258057i | ||||
\(797\) | −6037.59 | − | 11711.3i | −0.268334 | − | 0.520496i | 0.715715 | − | 0.698393i | \(-0.246101\pi\) |
−0.984049 | + | 0.177897i | \(0.943071\pi\) | |||||||
\(798\) | 12146.4 | + | 22775.1i | 0.538820 | + | 1.01031i | ||||
\(799\) | −948.193 | + | 1094.27i | −0.0419833 | + | 0.0484513i | ||||
\(800\) | −6438.84 | − | 614.834i | −0.284559 | − | 0.0271721i | ||||
\(801\) | −27862.2 | − | 5941.62i | −1.22904 | − | 0.262093i | ||||
\(802\) | −609.942 | + | 12804.3i | −0.0268551 | + | 0.563759i | ||||
\(803\) | −2414.97 | −0.106130 | ||||||||
\(804\) | 12959.5 | + | 2229.21i | 0.568465 | + | 0.0977838i | ||||
\(805\) | 4637.63 | 0.203050 | ||||||||
\(806\) | 1684.05 | − | 35352.5i | 0.0735956 | − | 1.54496i | ||||
\(807\) | 22387.0 | − | 13344.9i | 0.976530 | − | 0.582110i | ||||
\(808\) | −17665.7 | − | 1686.87i | −0.769157 | − | 0.0734455i | ||||
\(809\) | −8254.16 | + | 9525.81i | −0.358716 | + | 0.413980i | −0.906209 | − | 0.422830i | \(-0.861037\pi\) |
0.547493 | + | 0.836810i | \(0.315582\pi\) | |||||||
\(810\) | 5928.19 | − | 32174.8i | 0.257155 | − | 1.39569i | ||||
\(811\) | −18019.2 | − | 34952.5i | −0.780199 | − | 1.51337i | −0.856418 | − | 0.516283i | \(-0.827315\pi\) |
0.0762192 | − | 0.997091i | \(-0.475715\pi\) | |||||||
\(812\) | 1608.91 | − | 11190.2i | 0.0695342 | − | 0.483621i | ||||
\(813\) | −2623.57 | + | 675.353i | −0.113176 | + | 0.0291336i | ||||
\(814\) | −618.283 | − | 589.531i | −0.0266226 | − | 0.0253846i | ||||
\(815\) | 10976.4 | + | 31714.3i | 0.471764 | + | 1.36307i | ||||
\(816\) | 1460.37 | − | 691.704i | 0.0626508 | − | 0.0296746i | ||||
\(817\) | 1619.97 | + | 2059.96i | 0.0693703 | + | 0.0882116i | ||||
\(818\) | 44171.5 | − | 20172.5i | 1.88804 | − | 0.862241i | ||||
\(819\) | −11684.9 | − | 15476.6i | −0.498539 | − | 0.660314i | ||||
\(820\) | −2889.68 | − | 556.940i | −0.123063 | − | 0.0237185i | ||||
\(821\) | 398.311 | + | 4171.30i | 0.0169320 | + | 0.177320i | 0.999982 | − | 0.00601845i | \(-0.00191574\pi\) |
−0.983050 | + | 0.183338i | \(0.941310\pi\) | |||||||
\(822\) | 55860.6 | − | 11576.6i | 2.37027 | − | 0.491216i | ||||
\(823\) | 22371.7 | + | 11533.4i | 0.947543 | + | 0.488492i | 0.861477 | − | 0.507797i | \(-0.169540\pi\) |
0.0860664 | + | 0.996289i | \(0.472570\pi\) | |||||||
\(824\) | −7831.68 | + | 7467.49i | −0.331104 | + | 0.315707i | ||||
\(825\) | −1032.80 | − | 643.564i | −0.0435848 | − | 0.0271588i | ||||
\(826\) | −20942.9 | + | 6149.38i | −0.882198 | + | 0.259037i | ||||
\(827\) | −32343.5 | + | 7846.45i | −1.35997 | + | 0.329925i | −0.848417 | − | 0.529328i | \(-0.822444\pi\) |
−0.511552 | + | 0.859253i | \(0.670929\pi\) | |||||||
\(828\) | −1285.44 | + | 3489.99i | −0.0539517 | + | 0.146480i | ||||
\(829\) | −1890.28 | − | 13147.2i | −0.0791943 | − | 0.550809i | −0.990333 | − | 0.138709i | \(-0.955705\pi\) |
0.911139 | − | 0.412100i | \(-0.135204\pi\) | |||||||
\(830\) | 22990.5 | − | 16371.5i | 0.961461 | − | 0.684653i | ||||
\(831\) | −374.312 | + | 11119.0i | −0.0156254 | + | 0.464155i | ||||
\(832\) | −559.444 | − | 1397.42i | −0.0233116 | − | 0.0582295i | ||||
\(833\) | −648.846 | − | 374.611i | −0.0269882 | − | 0.0155816i | ||||
\(834\) | −39516.7 | − | 9004.94i | −1.64071 | − | 0.373880i | ||||
\(835\) | 32130.8 | − | 40857.7i | 1.33166 | − | 1.69334i | ||||
\(836\) | −836.113 | + | 3446.50i | −0.0345904 | + | 0.142584i | ||||
\(837\) | 13994.3 | − | 19414.8i | 0.577912 | − | 0.801759i | ||||
\(838\) | −14015.3 | + | 667.632i | −0.577746 | + | 0.0275214i | ||||
\(839\) | −18506.9 | − | 4489.72i | −0.761536 | − | 0.184747i | −0.163859 | − | 0.986484i | \(-0.552394\pi\) |
−0.597677 | + | 0.801737i | \(0.703909\pi\) | |||||||
\(840\) | −9587.78 | + | 1515.30i | −0.393821 | + | 0.0622413i | ||||
\(841\) | 7658.01 | + | 13264.1i | 0.313994 | + | 0.543854i | ||||
\(842\) | −8217.41 | + | 14233.0i | −0.336331 | + | 0.582543i | ||||
\(843\) | −15214.2 | − | 5845.98i | −0.621596 | − | 0.238845i | ||||
\(844\) | 13592.3 | + | 15686.4i | 0.554345 | + | 0.639749i | ||||
\(845\) | 8908.47 | + | 12510.2i | 0.362675 | + | 0.509306i | ||||
\(846\) | 7699.13 | + | 34707.1i | 0.312886 | + | 1.41047i | ||||
\(847\) | −14375.5 | − | 6565.06i | −0.583173 | − | 0.266326i | ||||
\(848\) | −2706.59 | − | 11156.7i | −0.109605 | − | 0.451797i | ||||
\(849\) | 11702.8 | + | 5828.05i | 0.473072 | + | 0.235593i | ||||
\(850\) | −90.9990 | − | 472.148i | −0.00367205 | − | 0.0190524i | ||||
\(851\) | −733.370 | − | 769.136i | −0.0295412 | − | 0.0309820i | ||||
\(852\) | 8021.75 | − | 2902.27i | 0.322560 | − | 0.116702i | ||||
\(853\) | −13698.3 | + | 19236.5i | −0.549847 | + | 0.772152i | −0.992196 | − | 0.124691i | \(-0.960206\pi\) |
0.442349 | + | 0.896843i | \(0.354145\pi\) | |||||||
\(854\) | 2276.32 | − | 217.362i | 0.0912109 | − | 0.00870959i | ||||
\(855\) | 4449.43 | − | 38552.8i | 0.177974 | − | 1.54208i | ||||
\(856\) | −1200.14 | − | 1867.46i | −0.0479205 | − | 0.0745658i | ||||
\(857\) | 17026.9 | + | 37283.6i | 0.678677 | + | 1.48610i | 0.864038 | + | 0.503426i | \(0.167927\pi\) |
−0.185361 | + | 0.982670i | \(0.559345\pi\) | |||||||
\(858\) | 591.167 | − | 7259.75i | 0.0235223 | − | 0.288862i | ||||
\(859\) | −26321.7 | − | 10537.6i | −1.04550 | − | 0.418555i | −0.215609 | − | 0.976480i | \(-0.569173\pi\) |
−0.829891 | + | 0.557925i | \(0.811598\pi\) | |||||||
\(860\) | 1269.41 | − | 439.348i | 0.0503333 | − | 0.0174205i | ||||
\(861\) | −3218.36 | + | 198.335i | −0.127389 | + | 0.00785046i | ||||
\(862\) | 5019.03 | − | 7809.76i | 0.198316 | − | 0.308586i | ||||
\(863\) | −13699.0 | − | 1969.61i | −0.540345 | − | 0.0776899i | −0.133262 | − | 0.991081i | \(-0.542545\pi\) |
−0.407084 | + | 0.913391i | \(0.633454\pi\) | |||||||
\(864\) | 5102.32 | − | 25677.3i | 0.200908 | − | 1.01106i | ||||
\(865\) | −11264.6 | − | 3898.73i | −0.442785 | − | 0.153249i | ||||
\(866\) | 16272.4 | + | 14100.1i | 0.638522 | + | 0.553282i | ||||
\(867\) | −16932.5 | − | 18999.1i | −0.663272 | − | 0.744224i | ||||
\(868\) | 9286.39 | + | 2726.73i | 0.363134 | + | 0.106626i | ||||
\(869\) | −3485.51 | − | 166.035i | −0.136062 | − | 0.00648142i | ||||
\(870\) | −31593.5 | + | 34073.5i | −1.23117 | + | 1.32782i | ||||
\(871\) | −31990.2 | + | 1719.67i | −1.24449 | + | 0.0668988i | ||||
\(872\) | − | 9828.75i | − | 0.381701i | ||||||
\(873\) | 1083.97 | + | 38846.4i | 0.0420237 | + | 1.50601i | ||||
\(874\) | −3397.78 | + | 11571.8i | −0.131501 | + | 0.447850i | ||||
\(875\) | 1334.08 | − | 13971.1i | 0.0515430 | − | 0.539783i | ||||
\(876\) | −8519.61 | + | 933.609i | −0.328597 | + | 0.0360088i | ||||
\(877\) | 11216.6 | − | 32408.3i | 0.431879 | − | 1.24783i | −0.493817 | − | 0.869566i | \(-0.664399\pi\) |
0.925696 | − | 0.378267i | \(-0.123480\pi\) | |||||||
\(878\) | −21730.7 | + | 11202.9i | −0.835279 | + | 0.430616i | ||||
\(879\) | 24983.8 | + | 30873.3i | 0.958683 | + | 1.18468i | ||||
\(880\) | −5718.37 | − | 3674.97i | −0.219052 | − | 0.140776i | ||||
\(881\) | 25435.0 | − | 26675.4i | 0.972674 | − | 1.02011i | −0.0271167 | − | 0.999632i | \(-0.508633\pi\) |
0.999790 | − | 0.0204784i | \(-0.00651894\pi\) | |||||||
\(882\) | −16880.5 | + | 7310.63i | −0.644440 | + | 0.279095i | ||||
\(883\) | −731.142 | + | 1826.31i | −0.0278651 | + | 0.0696037i | −0.941648 | − | 0.336599i | \(-0.890723\pi\) |
0.913783 | + | 0.406203i | \(0.133147\pi\) | |||||||
\(884\) | 827.573 | − | 650.810i | 0.0314867 | − | 0.0247614i | ||||
\(885\) | 31159.5 | + | 10300.0i | 1.18352 | + | 0.391222i | ||||
\(886\) | −15156.6 | + | 9740.52i | −0.574711 | + | 0.369345i | ||||
\(887\) | −4491.37 | + | 23303.5i | −0.170018 | + | 0.882135i | 0.792284 | + | 0.610152i | \(0.208892\pi\) |
−0.962302 | + | 0.271983i | \(0.912321\pi\) | |||||||
\(888\) | 1767.47 | + | 1350.48i | 0.0667932 | + | 0.0510352i | ||||
\(889\) | −10417.2 | − | 7418.08i | −0.393007 | − | 0.279859i | ||||
\(890\) | −21698.3 | + | 42088.9i | −0.817225 | + | 1.58520i | ||||
\(891\) | 3012.81 | − | 3896.39i | 0.113281 | − | 0.146503i | ||||
\(892\) | −28543.1 | + | 5501.22i | −1.07140 | + | 0.206496i | ||||
\(893\) | 11881.0 | + | 40462.8i | 0.445220 | + | 1.51628i | ||||
\(894\) | 4351.66 | + | 2432.14i | 0.162798 | + | 0.0909876i | ||||
\(895\) | −17741.0 | + | 38847.3i | −0.662587 | + | 1.45086i | ||||
\(896\) | −17053.6 | + | 2451.94i | −0.635851 | + | 0.0914216i | ||||
\(897\) | 1164.29 | − | 8985.83i | 0.0433382 | − | 0.334479i | ||||
\(898\) | 20612.8 | − | 17861.1i | 0.765990 | − | 0.663734i | ||||
\(899\) | −31556.4 | + | 12633.3i | −1.17071 | + | 0.468681i | ||||
\(900\) | −3892.34 | − | 1871.11i | −0.144161 | − | 0.0693004i | ||||
\(901\) | 487.693 | − | 281.570i | 0.0180327 | − | 0.0104112i | ||||
\(902\) | −952.000 | − | 748.661i | −0.0351421 | − | 0.0276360i | ||||
\(903\) | 1226.97 | − | 812.927i | 0.0452170 | − | 0.0299585i | ||||
\(904\) | −753.404 | − | 15815.9i | −0.0277188 | − | 0.581890i | ||||
\(905\) | −1161.80 | − | 24389.1i | −0.0426734 | − | 0.895824i | ||||
\(906\) | 42042.3 | − | 27855.1i | 1.54168 | − | 1.02144i | ||||
\(907\) | 14037.8 | + | 11039.4i | 0.513910 | + | 0.404144i | 0.841153 | − | 0.540797i | \(-0.181877\pi\) |
−0.327243 | + | 0.944940i | \(0.606120\pi\) | |||||||
\(908\) | −1252.01 | + | 722.847i | −0.0457592 | + | 0.0264191i | ||||
\(909\) | −35914.1 | − | 17264.5i | −1.31045 | − | 0.629953i | ||||
\(910\) | −29924.3 | + | 11979.9i | −1.09009 | + | 0.436406i | ||||
\(911\) | −39603.5 | + | 34316.7i | −1.44031 | + | 1.24804i | −0.521552 | + | 0.853220i | \(0.674647\pi\) |
−0.918760 | + | 0.394817i | \(0.870808\pi\) | |||||||
\(912\) | 6047.38 | − | 46673.0i | 0.219571 | − | 1.69462i | ||||
\(913\) | 4205.76 | − | 604.697i | 0.152454 | − | 0.0219196i | ||||
\(914\) | 2175.54 | − | 4763.78i | 0.0787315 | − | 0.172398i | ||||
\(915\) | −3001.17 | − | 1677.36i | −0.108432 | − | 0.0606029i | ||||
\(916\) | −1659.33 | − | 5651.16i | −0.0598535 | − | 0.203842i | ||||
\(917\) | −14909.6 | + | 2873.59i | −0.536922 | + | 0.103483i | ||||
\(918\) | 1938.38 | − | 173.842i | 0.0696906 | − | 0.00625014i | ||||
\(919\) | −20168.8 | + | 39122.0i | −0.723946 | + | 1.40426i | 0.183043 | + | 0.983105i | \(0.441405\pi\) |
−0.906989 | + | 0.421155i | \(0.861625\pi\) | |||||||
\(920\) | −3694.45 | − | 2630.81i | −0.132394 | − | 0.0942773i | ||||
\(921\) | 40071.5 | + | 30617.7i | 1.43366 | + | 1.09543i | ||||
\(922\) | 4190.69 | − | 21743.4i | 0.149689 | − | 0.776659i | ||||
\(923\) | −17483.7 | + | 11236.1i | −0.623491 | + | 0.400693i | ||||
\(924\) | 1891.17 | + | 625.143i | 0.0673323 | + | 0.0222572i | ||||
\(925\) | 970.025 | − | 762.836i | 0.0344802 | − | 0.0271156i | ||||
\(926\) | −1093.15 | + | 2730.56i | −0.0387939 | + | 0.0969026i | ||||
\(927\) | −22297.4 | + | 9656.61i | −0.790015 | + | 0.342141i | ||||
\(928\) | −25658.7 | + | 26910.0i | −0.907637 | + | 0.951902i | ||||
\(929\) | −37915.8 | − | 24367.0i | −1.33905 | − | 0.860554i | −0.342181 | − | 0.939634i | \(-0.611165\pi\) |
−0.996868 | + | 0.0790798i | \(0.974802\pi\) | |||||||
\(930\) | −25024.1 | − | 30923.1i | −0.882336 | − | 1.09033i | ||||
\(931\) | −19395.4 | + | 9999.03i | −0.682770 | + | 0.351992i | ||||
\(932\) | −9607.58 | + | 27759.3i | −0.337668 | + | 0.975629i | ||||
\(933\) | −22049.3 | + | 2416.24i | −0.773699 | + | 0.0847848i | ||||
\(934\) | −3095.88 | + | 32421.5i | −0.108458 | + | 1.13583i | ||||
\(935\) | 93.9385 | − | 319.925i | 0.00328569 | − | 0.0111900i | ||||
\(936\) | 528.992 | + | 18957.6i | 0.0184729 | + | 0.662018i | ||||
\(937\) | − | 28635.4i | − | 0.998374i | −0.866494 | − | 0.499187i | \(-0.833632\pi\) | ||
0.866494 | − | 0.499187i | \(-0.166368\pi\) | |||||||
\(938\) | 4388.68 | − | 23543.1i | 0.152767 | − | 0.819521i | ||||
\(939\) | 20279.2 | − | 21871.1i | 0.704780 | − | 0.760103i | ||||
\(940\) | 21591.7 | + | 1028.54i | 0.749195 | + | 0.0356885i | ||||
\(941\) | −19688.9 | − | 5781.18i | −0.682083 | − | 0.200278i | −0.0777062 | − | 0.996976i | \(-0.524760\pi\) |
−0.604377 | + | 0.796699i | \(0.706578\pi\) | |||||||
\(942\) | 34268.5 | + | 38450.9i | 1.18527 | + | 1.32994i | ||||
\(943\) | −1138.62 | − | 986.621i | −0.0393199 | − | 0.0340708i | ||||
\(944\) | 37609.0 | + | 13016.6i | 1.29668 | + | 0.448787i | ||||
\(945\) | −21378.3 | − | 4248.07i | −0.735911 | − | 0.146232i | ||||
\(946\) | 547.196 | + | 78.6749i | 0.0188064 | + | 0.00270396i | ||||
\(947\) | −1866.38 | + | 2904.14i | −0.0640434 | + | 0.0996534i | −0.871798 | − | 0.489865i | \(-0.837046\pi\) |
0.807755 | + | 0.589518i | \(0.200682\pi\) | |||||||
\(948\) | −12360.5 | + | 761.726i | −0.423469 | + | 0.0260967i | ||||
\(949\) | 19731.9 | − | 6829.27i | 0.674946 | − | 0.233601i | ||||
\(950\) | −13001.2 | − | 5204.91i | −0.444017 | − | 0.177757i | ||||
\(951\) | −182.438 | + | 2240.41i | −0.00622078 | + | 0.0763935i | ||||
\(952\) | −239.867 | − | 525.235i | −0.00816610 | − | 0.0178813i | ||||
\(953\) | −22270.8 | − | 34654.1i | −0.757003 | − | 1.17792i | −0.979196 | − | 0.202916i | \(-0.934958\pi\) |
0.222193 | − | 0.975003i | \(-0.428678\pi\) | |||||||
\(954\) | 1585.23 | − | 13735.5i | 0.0537986 | − | 0.466147i | ||||
\(955\) | −63656.2 | + | 6078.43i | −2.15693 | + | 0.205962i | ||||
\(956\) | −2419.11 | + | 3397.16i | −0.0818406 | + | 0.114929i | ||||
\(957\) | −6578.10 | + | 2379.95i | −0.222194 | + | 0.0803897i | ||||
\(958\) | 32515.5 | + | 34101.3i | 1.09659 | + | 1.15007i | ||||
\(959\) | −7192.72 | − | 37319.4i | −0.242195 | − | 1.25663i | ||||
\(960\) | −1514.44 | − | 754.197i | −0.0509148 | − | 0.0253558i | ||||
\(961\) | 162.949 | + | 671.685i | 0.00546974 | + | 0.0225466i | ||||
\(962\) | 6718.90 | + | 3068.42i | 0.225183 | + | 0.102838i | ||||
\(963\) | −1079.50 | − | 4866.30i | −0.0361229 | − | 0.162840i | ||||
\(964\) | 11088.7 | + | 15571.9i | 0.370480 | + | 0.520266i | ||||
\(965\) | 12258.9 | + | 14147.5i | 0.408941 | + | 0.471943i | ||||
\(966\) | 6322.77 | + | 2429.49i | 0.210592 | + | 0.0809188i | ||||
\(967\) | −4260.42 | + | 7379.27i | −0.141681 | + | 0.245399i | −0.928130 | − | 0.372256i | \(-0.878584\pi\) |
0.786448 | + | 0.617656i | \(0.211918\pi\) | |||||||
\(968\) | 7727.68 | + | 13384.7i | 0.256588 | + | 0.444423i | ||||
\(969\) | 2280.26 | − | 360.383i | 0.0755961 | − | 0.0119475i | ||||
\(970\) | 62773.3 | + | 15228.6i | 2.07787 | + | 0.504085i | ||||
\(971\) | 44897.3 | − | 2138.72i | 1.48385 | − | 0.0706847i | 0.710069 | − | 0.704132i | \(-0.248664\pi\) |
0.773786 | + | 0.633447i | \(0.218361\pi\) | |||||||
\(972\) | 9122.38 | − | 14910.5i | 0.301029 | − | 0.492032i | ||||
\(973\) | −6365.89 | + | 26240.5i | −0.209744 | + | 0.864577i | ||||
\(974\) | 9932.16 | − | 12629.8i | 0.326742 | − | 0.415486i | ||||
\(975\) | 10258.6 | + | 2337.69i | 0.336961 | + | 0.0767857i | ||||
\(976\) | −3610.78 | − | 2084.68i | −0.118420 | − | 0.0683700i | ||||
\(977\) | 6715.80 | + | 16775.2i | 0.219915 | + | 0.549322i | 0.996766 | − | 0.0803633i | \(-0.0256080\pi\) |
−0.776850 | + | 0.629685i | \(0.783184\pi\) | |||||||
\(978\) | −1649.15 | + | 48988.3i | −0.0539204 | + | 1.60171i | ||||
\(979\) | −5806.96 | + | 4135.12i | −0.189572 | + | 0.134994i | ||||
\(980\) | 1591.81 | + | 11071.3i | 0.0518863 | + | 0.360877i | ||||
\(981\) | 7627.95 | − | 20710.0i | 0.248259 | − | 0.674027i | ||||
\(982\) | 61204.6 | − | 14848.1i | 1.98892 | − | 0.482506i | ||||
\(983\) | 21046.9 | − | 6179.92i | 0.682900 | − | 0.200518i | 0.0781604 | − | 0.996941i | \(-0.475095\pi\) |
0.604740 | + | 0.796423i | \(0.293277\pi\) | |||||||
\(984\) | 2676.34 | + | 1667.70i | 0.0867059 | + | 0.0540287i | ||||
\(985\) | −7890.18 | + | 7523.27i | −0.255230 | + | 0.243362i | ||||
\(986\) | −2456.83 | − | 1266.59i | −0.0793525 | − | 0.0409091i | ||||
\(987\) | 23191.9 | − | 4806.30i | 0.747929 | − | 0.155001i | ||||
\(988\) | −2914.75 | − | 30524.6i | −0.0938567 | − | 0.982912i | ||||
\(989\) | 675.278 | + | 130.149i | 0.0217114 | + | 0.00418453i | ||||
\(990\) | −4932.92 | − | 6533.64i | −0.158362 | − | 0.209750i | ||||
\(991\) | −6500.82 | + | 2968.83i | −0.208381 | + | 0.0951643i | −0.516871 | − | 0.856063i | \(-0.672903\pi\) |
0.308491 | + | 0.951227i | \(0.400176\pi\) | |||||||
\(992\) | −19677.0 | − | 25021.3i | −0.629782 | − | 0.800833i | ||||
\(993\) | −37526.7 | + | 17774.6i | −1.19927 | + | 0.568035i | ||||
\(994\) | −5081.38 | − | 14681.7i | −0.162144 | − | 0.468485i | ||||
\(995\) | −11603.4 | − | 11063.8i | −0.369700 | − | 0.352509i | ||||
\(996\) | 14603.4 | − | 3759.18i | 0.464586 | − | 0.119593i | ||||
\(997\) | 5677.16 | − | 39485.5i | 0.180339 | − | 1.25428i | −0.675625 | − | 0.737246i | \(-0.736126\pi\) |
0.855963 | − | 0.517036i | \(-0.172965\pi\) | |||||||
\(998\) | 34108.5 | + | 66161.3i | 1.08185 | + | 2.09850i | ||||
\(999\) | 2676.12 | + | 4217.29i | 0.0847535 | + | 0.133563i |
(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 | 201.4.p.a.2.15 | ✓ | 1320 | |
3.2 | odd | 2 | inner | 201.4.p.a.2.52 | yes | 1320 | |
67.34 | odd | 66 | inner | 201.4.p.a.101.52 | yes | 1320 | |
201.101 | even | 66 | inner | 201.4.p.a.101.15 | yes | 1320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.p.a.2.15 | ✓ | 1320 | 1.1 | even | 1 | trivial | |
201.4.p.a.2.52 | yes | 1320 | 3.2 | odd | 2 | inner | |
201.4.p.a.101.15 | yes | 1320 | 201.101 | even | 66 | inner | |
201.4.p.a.101.52 | yes | 1320 | 67.34 | odd | 66 | inner |