Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(4,201)]
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([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), 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: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.10 | ||
Character | \(\chi\) | \(=\) | 201.4 |
Dual form | 201.4.m.a.151.10 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{33}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.993416 | + | 0.0948597i | 0.351225 | + | 0.0335380i | 0.269178 | − | 0.963090i | \(-0.413248\pi\) |
0.0820475 | + | 0.996628i | \(0.473854\pi\) | |||||||
\(3\) | 2.52376 | + | 1.62192i | 0.485698 | + | 0.312139i | ||||
\(4\) | −6.87755 | − | 1.32554i | −0.859694 | − | 0.165692i | ||||
\(5\) | 0.448481 | + | 3.11925i | 0.0401133 | + | 0.278994i | 0.999999 | − | 0.00139725i | \(-0.000444760\pi\) |
−0.959886 | + | 0.280392i | \(0.909536\pi\) | |||||||
\(6\) | 2.35329 | + | 1.85065i | 0.160121 | + | 0.125921i | ||||
\(7\) | 10.9985 | − | 15.4453i | 0.593864 | − | 0.833966i | −0.402825 | − | 0.915277i | \(-0.631972\pi\) |
0.996689 | + | 0.0813117i | \(0.0259109\pi\) | |||||||
\(8\) | −14.3666 | − | 4.21842i | −0.634921 | − | 0.186430i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | 0.149636 | + | 3.14126i | 0.00473192 | + | 0.0993352i | ||||
\(11\) | 40.7632 | − | 32.0565i | 1.11732 | − | 0.878673i | 0.123801 | − | 0.992307i | \(-0.460491\pi\) |
0.993523 | + | 0.113634i | \(0.0362491\pi\) | |||||||
\(12\) | −15.2074 | − | 14.5002i | −0.365833 | − | 0.348821i | ||||
\(13\) | −0.118866 | + | 0.489974i | −0.00253597 | + | 0.0104534i | −0.973065 | − | 0.230529i | \(-0.925954\pi\) |
0.970530 | + | 0.240982i | \(0.0774696\pi\) | |||||||
\(14\) | 12.3912 | − | 14.3002i | 0.236550 | − | 0.272993i | ||||
\(15\) | −3.92733 | + | 8.59965i | −0.0676021 | + | 0.148028i | ||||
\(16\) | 38.1474 | + | 15.2719i | 0.596053 | + | 0.238624i | ||||
\(17\) | 49.1257 | − | 9.46821i | 0.700867 | − | 0.135081i | 0.173645 | − | 0.984808i | \(-0.444446\pi\) |
0.527222 | + | 0.849727i | \(0.323233\pi\) | |||||||
\(18\) | 2.93753 | + | 8.48744i | 0.0384657 | + | 0.111139i | ||||
\(19\) | 20.4536 | + | 28.7230i | 0.246967 | + | 0.346817i | 0.919388 | − | 0.393352i | \(-0.128685\pi\) |
−0.672421 | + | 0.740169i | \(0.734745\pi\) | |||||||
\(20\) | 1.05024 | − | 22.0473i | 0.0117421 | − | 0.246496i | ||||
\(21\) | 52.8086 | − | 21.1414i | 0.548752 | − | 0.219687i | ||||
\(22\) | 43.5357 | − | 27.9787i | 0.421901 | − | 0.271140i | ||||
\(23\) | 76.5908 | − | 39.4853i | 0.694360 | − | 0.357968i | −0.0746448 | − | 0.997210i | \(-0.523782\pi\) |
0.769005 | + | 0.639242i | \(0.220752\pi\) | |||||||
\(24\) | −29.4160 | − | 33.9478i | −0.250188 | − | 0.288732i | ||||
\(25\) | 110.408 | − | 32.4187i | 0.883264 | − | 0.259350i | ||||
\(26\) | −0.164562 | + | 0.475472i | −0.00124128 | + | 0.00358645i | ||||
\(27\) | −3.84250 | + | 26.7252i | −0.0273885 | + | 0.190491i | ||||
\(28\) | −96.1162 | + | 91.6466i | −0.648723 | + | 0.618556i | ||||
\(29\) | −23.6916 | − | 41.0350i | −0.151704 | − | 0.262759i | 0.780150 | − | 0.625592i | \(-0.215143\pi\) |
−0.931854 | + | 0.362834i | \(0.881809\pi\) | |||||||
\(30\) | −4.71723 | + | 8.17048i | −0.0287081 | + | 0.0497239i | ||||
\(31\) | −19.1534 | − | 78.9513i | −0.110969 | − | 0.457422i | 0.889031 | − | 0.457848i | \(-0.151380\pi\) |
−1.00000 | 0.000426085i | \(0.999864\pi\) | ||||||||
\(32\) | 142.917 | + | 73.6787i | 0.789511 | + | 0.407021i | ||||
\(33\) | 154.870 | − | 14.7883i | 0.816950 | − | 0.0780093i | ||||
\(34\) | 49.7004 | − | 4.74581i | 0.250693 | − | 0.0239383i | ||||
\(35\) | 53.1103 | + | 27.3802i | 0.256494 | + | 0.132232i | ||||
\(36\) | −14.8616 | − | 61.2602i | −0.0688036 | − | 0.283612i | ||||
\(37\) | −47.7025 | + | 82.6231i | −0.211952 | + | 0.367112i | −0.952325 | − | 0.305084i | \(-0.901315\pi\) |
0.740373 | + | 0.672196i | \(0.234649\pi\) | |||||||
\(38\) | 17.5942 | + | 30.4741i | 0.0751096 | + | 0.130094i | ||||
\(39\) | −1.09469 | + | 1.04378i | −0.00449463 | + | 0.00428562i | ||||
\(40\) | 6.71516 | − | 46.7050i | 0.0265440 | − | 0.184618i | ||||
\(41\) | −23.7615 | + | 68.6545i | −0.0905105 | + | 0.261513i | −0.981166 | − | 0.193166i | \(-0.938125\pi\) |
0.890656 | + | 0.454678i | \(0.150246\pi\) | |||||||
\(42\) | 54.4664 | − | 15.9928i | 0.200103 | − | 0.0587557i | ||||
\(43\) | −268.859 | − | 310.280i | −0.953502 | − | 1.10040i | −0.994860 | − | 0.101256i | \(-0.967714\pi\) |
0.0413584 | − | 0.999144i | \(-0.486831\pi\) | |||||||
\(44\) | −322.843 | + | 166.437i | −1.10615 | + | 0.570258i | ||||
\(45\) | −23.8596 | + | 15.3336i | −0.0790395 | + | 0.0507956i | ||||
\(46\) | 79.8321 | − | 31.9599i | 0.255883 | − | 0.102440i | ||||
\(47\) | 11.0801 | − | 232.601i | 0.0343873 | − | 0.721879i | −0.914181 | − | 0.405306i | \(-0.867165\pi\) |
0.948568 | − | 0.316573i | \(-0.102532\pi\) | |||||||
\(48\) | 71.5050 | + | 100.415i | 0.215018 | + | 0.301950i | ||||
\(49\) | −5.40428 | − | 15.6146i | −0.0157559 | − | 0.0455237i | ||||
\(50\) | 112.756 | − | 21.7320i | 0.318923 | − | 0.0614674i | ||||
\(51\) | 139.338 | + | 55.7826i | 0.382574 | + | 0.153159i | ||||
\(52\) | 1.46699 | − | 3.21226i | 0.00391221 | − | 0.00856654i | ||||
\(53\) | −46.1497 | + | 53.2597i | −0.119607 | + | 0.138034i | −0.812395 | − | 0.583108i | \(-0.801837\pi\) |
0.692788 | + | 0.721141i | \(0.256382\pi\) | |||||||
\(54\) | −6.35234 | + | 26.1847i | −0.0160082 | + | 0.0659868i | ||||
\(55\) | 118.274 | + | 112.774i | 0.289964 | + | 0.276481i | ||||
\(56\) | −223.166 | + | 175.500i | −0.532533 | + | 0.418788i | ||||
\(57\) | 5.03341 | + | 105.664i | 0.0116963 | + | 0.245536i | ||||
\(58\) | −19.6430 | − | 43.0122i | −0.0444699 | − | 0.0973754i | ||||
\(59\) | −641.305 | − | 188.304i | −1.41510 | − | 0.415511i | −0.517258 | − | 0.855830i | \(-0.673047\pi\) |
−0.897841 | + | 0.440319i | \(0.854865\pi\) | |||||||
\(60\) | 38.4096 | − | 53.9387i | 0.0826442 | − | 0.116058i | ||||
\(61\) | 667.541 | + | 524.960i | 1.40115 | + | 1.10187i | 0.980911 | + | 0.194458i | \(0.0622948\pi\) |
0.420235 | + | 0.907415i | \(0.361948\pi\) | |||||||
\(62\) | −11.5380 | − | 80.2483i | −0.0236343 | − | 0.164380i | ||||
\(63\) | 167.566 | + | 32.2957i | 0.335101 | + | 0.0645853i | ||||
\(64\) | −141.556 | − | 90.9724i | −0.276476 | − | 0.177680i | ||||
\(65\) | −1.58166 | − | 0.151030i | −0.00301817 | − | 0.000288200i | ||||
\(66\) | 155.253 | 0.289550 | ||||||||
\(67\) | 179.003 | − | 518.383i | 0.326398 | − | 0.945232i | ||||
\(68\) | −350.415 | −0.624913 | ||||||||
\(69\) | 257.339 | + | 24.5729i | 0.448985 | + | 0.0428729i | ||||
\(70\) | 50.1633 | + | 32.2380i | 0.0856523 | + | 0.0550454i | ||||
\(71\) | −93.2633 | − | 17.9750i | −0.155892 | − | 0.0300457i | 0.110708 | − | 0.993853i | \(-0.464688\pi\) |
−0.266600 | + | 0.963807i | \(0.585900\pi\) | |||||||
\(72\) | −19.1781 | − | 133.387i | −0.0313911 | − | 0.218330i | ||||
\(73\) | 559.879 | + | 440.293i | 0.897655 | + | 0.705924i | 0.956310 | − | 0.292355i | \(-0.0944387\pi\) |
−0.0586549 | + | 0.998278i | \(0.518681\pi\) | |||||||
\(74\) | −55.2260 | + | 77.5540i | −0.0867553 | + | 0.121831i | ||||
\(75\) | 331.224 | + | 97.2562i | 0.509953 | + | 0.149736i | ||||
\(76\) | −102.597 | − | 224.656i | −0.154851 | − | 0.339077i | ||||
\(77\) | −46.7866 | − | 982.172i | −0.0692446 | − | 1.45362i | ||||
\(78\) | −1.18649 | + | 0.933069i | −0.00172236 | + | 0.00135448i | ||||
\(79\) | 248.373 | + | 236.823i | 0.353723 | + | 0.337274i | 0.846018 | − | 0.533154i | \(-0.178993\pi\) |
−0.492295 | + | 0.870428i | \(0.663842\pi\) | |||||||
\(80\) | −30.5286 | + | 125.840i | −0.0426650 | + | 0.175867i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −30.1176 | + | 65.9484i | −0.0405602 | + | 0.0888144i | ||||
\(83\) | −1276.68 | − | 511.106i | −1.68836 | − | 0.675917i | −0.689529 | − | 0.724258i | \(-0.742183\pi\) |
−0.998831 | + | 0.0483403i | \(0.984607\pi\) | |||||||
\(84\) | −391.218 | + | 75.4011i | −0.508159 | + | 0.0979397i | ||||
\(85\) | 51.5657 | + | 148.989i | 0.0658010 | + | 0.190119i | ||||
\(86\) | −237.656 | − | 333.740i | −0.297989 | − | 0.418467i | ||||
\(87\) | 6.76374 | − | 141.988i | 0.00833505 | − | 0.174974i | ||||
\(88\) | −720.857 | + | 288.588i | −0.873223 | + | 0.349586i | ||||
\(89\) | −1329.04 | + | 854.119i | −1.58289 | + | 1.01726i | −0.608181 | + | 0.793798i | \(0.708101\pi\) |
−0.974712 | + | 0.223465i | \(0.928263\pi\) | |||||||
\(90\) | −25.1570 | + | 12.9694i | −0.0294643 | + | 0.0151899i | ||||
\(91\) | 6.26041 | + | 7.22490i | 0.00721176 | + | 0.00832281i | ||||
\(92\) | −579.097 | + | 170.038i | −0.656250 | + | 0.192692i | ||||
\(93\) | 79.7143 | − | 230.319i | 0.0888816 | − | 0.256807i | ||||
\(94\) | 33.0716 | − | 230.018i | 0.0362881 | − | 0.252389i | ||||
\(95\) | −80.4214 | + | 76.6816i | −0.0868532 | + | 0.0828144i | ||||
\(96\) | 241.187 | + | 417.747i | 0.256417 | + | 0.444127i | ||||
\(97\) | −260.752 | + | 451.636i | −0.272942 | + | 0.472749i | −0.969614 | − | 0.244641i | \(-0.921330\pi\) |
0.696672 | + | 0.717390i | \(0.254663\pi\) | |||||||
\(98\) | −3.88749 | − | 16.0245i | −0.00400710 | − | 0.0165175i | ||||
\(99\) | 414.839 | + | 213.865i | 0.421141 | + | 0.217113i | ||||
\(100\) | −802.309 | + | 76.6113i | −0.802309 | + | 0.0766113i | ||||
\(101\) | 232.268 | − | 22.1789i | 0.228827 | − | 0.0218504i | 0.0199876 | − | 0.999800i | \(-0.493637\pi\) |
0.208840 | + | 0.977950i | \(0.433031\pi\) | |||||||
\(102\) | 133.129 | + | 68.6329i | 0.129233 | + | 0.0666242i | ||||
\(103\) | 230.906 | + | 951.806i | 0.220891 | + | 0.910527i | 0.969022 | + | 0.246975i | \(0.0794366\pi\) |
−0.748130 | + | 0.663552i | \(0.769048\pi\) | |||||||
\(104\) | 3.77462 | − | 6.53783i | 0.00355896 | − | 0.00616430i | ||||
\(105\) | 89.6290 | + | 155.242i | 0.0833037 | + | 0.144286i | ||||
\(106\) | −50.8981 | + | 48.5312i | −0.0466383 | + | 0.0444695i | ||||
\(107\) | −191.096 | + | 1329.10i | −0.172654 | + | 1.20083i | 0.700595 | + | 0.713559i | \(0.252918\pi\) |
−0.873249 | + | 0.487274i | \(0.837991\pi\) | |||||||
\(108\) | 61.8523 | − | 178.710i | 0.0551087 | − | 0.159226i | ||||
\(109\) | −801.527 | + | 235.349i | −0.704333 | + | 0.206811i | −0.614236 | − | 0.789122i | \(-0.710536\pi\) |
−0.0900969 | + | 0.995933i | \(0.528718\pi\) | |||||||
\(110\) | 106.797 | + | 123.251i | 0.0925703 | + | 0.106832i | ||||
\(111\) | −254.398 | + | 131.151i | −0.217535 | + | 0.112147i | ||||
\(112\) | 655.443 | − | 421.228i | 0.552978 | − | 0.355378i | ||||
\(113\) | 18.5831 | − | 7.43955i | 0.0154704 | − | 0.00619340i | −0.363914 | − | 0.931432i | \(-0.618560\pi\) |
0.379385 | + | 0.925239i | \(0.376136\pi\) | |||||||
\(114\) | −5.02301 | + | 105.446i | −0.00412674 | + | 0.0866308i | ||||
\(115\) | 157.514 | + | 221.198i | 0.127724 | + | 0.179363i | ||||
\(116\) | 108.546 | + | 313.624i | 0.0868818 | + | 0.251028i | ||||
\(117\) | −4.45567 | + | 0.858760i | −0.00352074 | + | 0.000678567i | ||||
\(118\) | −619.220 | − | 247.898i | −0.483083 | − | 0.193397i | ||||
\(119\) | 394.071 | − | 862.896i | 0.303567 | − | 0.664719i | ||||
\(120\) | 92.6993 | − | 106.981i | 0.0705188 | − | 0.0813830i | ||||
\(121\) | 320.221 | − | 1319.97i | 0.240587 | − | 0.991714i | ||||
\(122\) | 613.348 | + | 584.826i | 0.455164 | + | 0.433998i | ||||
\(123\) | −171.321 | + | 134.728i | −0.125589 | + | 0.0987644i | ||||
\(124\) | 27.0753 | + | 568.380i | 0.0196083 | + | 0.411630i | ||||
\(125\) | 314.277 | + | 688.170i | 0.224878 | + | 0.492414i | ||||
\(126\) | 163.399 | + | 47.9783i | 0.115530 | + | 0.0339226i | ||||
\(127\) | 400.025 | − | 561.756i | 0.279500 | − | 0.392502i | −0.650832 | − | 0.759222i | \(-0.725580\pi\) |
0.930332 | + | 0.366720i | \(0.119519\pi\) | |||||||
\(128\) | −1143.12 | − | 898.957i | −0.789361 | − | 0.620760i | ||||
\(129\) | −175.286 | − | 1219.14i | −0.119636 | − | 0.832087i | ||||
\(130\) | −1.55692 | − | 0.300072i | −0.00105039 | − | 0.000202446i | ||||
\(131\) | 608.468 | + | 391.039i | 0.405818 | + | 0.260803i | 0.727588 | − | 0.686015i | \(-0.240641\pi\) |
−0.321770 | + | 0.946818i | \(0.604278\pi\) | |||||||
\(132\) | −1084.73 | − | 103.579i | −0.715253 | − | 0.0682984i | ||||
\(133\) | 668.594 | 0.435898 | ||||||||
\(134\) | 226.998 | − | 497.990i | 0.146341 | − | 0.321043i | ||||
\(135\) | −85.0859 | −0.0542446 | ||||||||
\(136\) | −745.711 | − | 71.2068i | −0.470178 | − | 0.0448966i | ||||
\(137\) | −812.582 | − | 522.215i | −0.506742 | − | 0.325663i | 0.262166 | − | 0.965023i | \(-0.415563\pi\) |
−0.768908 | + | 0.639360i | \(0.779200\pi\) | |||||||
\(138\) | 253.314 | + | 48.8222i | 0.156257 | + | 0.0301161i | ||||
\(139\) | −53.7827 | − | 374.067i | −0.0328186 | − | 0.228258i | 0.966810 | − | 0.255495i | \(-0.0822384\pi\) |
−0.999629 | + | 0.0272365i | \(0.991329\pi\) | |||||||
\(140\) | −328.975 | − | 258.709i | −0.198596 | − | 0.156178i | ||||
\(141\) | 405.224 | − | 569.058i | 0.242029 | − | 0.339881i | ||||
\(142\) | −90.9441 | − | 26.7036i | −0.0537455 | − | 0.0157811i | ||||
\(143\) | 10.8615 | + | 23.7833i | 0.00635163 | + | 0.0139081i | ||||
\(144\) | 17.5966 | + | 369.398i | 0.0101832 | + | 0.213772i | ||||
\(145\) | 117.373 | − | 92.3033i | 0.0672229 | − | 0.0528647i | ||||
\(146\) | 514.426 | + | 490.504i | 0.291604 | + | 0.278044i | ||||
\(147\) | 11.6866 | − | 48.1729i | 0.00655712 | − | 0.0270288i | ||||
\(148\) | 437.596 | − | 505.013i | 0.243042 | − | 0.280485i | ||||
\(149\) | 244.634 | − | 535.675i | 0.134505 | − | 0.294525i | −0.830380 | − | 0.557197i | \(-0.811877\pi\) |
0.964885 | + | 0.262673i | \(0.0846039\pi\) | |||||||
\(150\) | 319.817 | + | 128.036i | 0.174087 | + | 0.0696938i | ||||
\(151\) | 2669.72 | − | 514.545i | 1.43880 | − | 0.277305i | 0.590591 | − | 0.806971i | \(-0.298895\pi\) |
0.848206 | + | 0.529666i | \(0.177683\pi\) | |||||||
\(152\) | −172.683 | − | 498.935i | −0.0921476 | − | 0.266243i | ||||
\(153\) | 261.181 | + | 366.778i | 0.138008 | + | 0.193805i | ||||
\(154\) | 46.6900 | − | 980.143i | 0.0244311 | − | 0.512871i | ||||
\(155\) | 237.679 | − | 95.1523i | 0.123167 | − | 0.0493085i | ||||
\(156\) | 8.91236 | − | 5.72763i | 0.00457410 | − | 0.00293960i | ||||
\(157\) | 847.030 | − | 436.674i | 0.430576 | − | 0.221977i | −0.229294 | − | 0.973357i | \(-0.573642\pi\) |
0.659870 | + | 0.751380i | \(0.270611\pi\) | |||||||
\(158\) | 224.272 | + | 258.824i | 0.112925 | + | 0.130322i | ||||
\(159\) | −202.854 | + | 59.5633i | −0.101178 | + | 0.0297087i | ||||
\(160\) | −165.727 | + | 478.837i | −0.0818867 | + | 0.236596i | ||||
\(161\) | 232.525 | − | 1617.25i | 0.113823 | − | 0.791657i | ||||
\(162\) | −58.5014 | + | 55.7809i | −0.0283722 | + | 0.0270529i | ||||
\(163\) | 2021.29 | + | 3500.97i | 0.971285 | + | 1.68232i | 0.691685 | + | 0.722199i | \(0.256869\pi\) |
0.279600 | + | 0.960116i | \(0.409798\pi\) | |||||||
\(164\) | 254.426 | − | 440.678i | 0.121142 | − | 0.209824i | ||||
\(165\) | 115.584 | + | 476.445i | 0.0545347 | + | 0.224795i | ||||
\(166\) | −1219.79 | − | 628.846i | −0.570326 | − | 0.294024i | ||||
\(167\) | −1060.16 | + | 101.233i | −0.491245 | + | 0.0469082i | −0.337740 | − | 0.941240i | \(-0.609662\pi\) |
−0.153505 | + | 0.988148i | \(0.549056\pi\) | |||||||
\(168\) | −847.865 | + | 80.9613i | −0.389370 | + | 0.0371803i | ||||
\(169\) | 1952.55 | + | 1006.61i | 0.888733 | + | 0.458174i | ||||
\(170\) | 37.0931 | + | 152.900i | 0.0167348 | + | 0.0689816i | ||||
\(171\) | −158.676 | + | 274.835i | −0.0709606 | + | 0.122907i | ||||
\(172\) | 1437.80 | + | 2490.35i | 0.637392 | + | 1.10400i | ||||
\(173\) | −293.161 | + | 279.529i | −0.128836 | + | 0.122845i | −0.751758 | − | 0.659439i | \(-0.770794\pi\) |
0.622922 | + | 0.782284i | \(0.285945\pi\) | |||||||
\(174\) | 20.1882 | − | 140.412i | 0.00879576 | − | 0.0611758i | ||||
\(175\) | 713.609 | − | 2061.84i | 0.308250 | − | 0.890630i | ||||
\(176\) | 2044.57 | − | 600.341i | 0.875656 | − | 0.257116i | ||||
\(177\) | −1313.09 | − | 1515.38i | −0.557614 | − | 0.643520i | ||||
\(178\) | −1401.31 | + | 722.424i | −0.590069 | + | 0.304202i | ||||
\(179\) | 2909.00 | − | 1869.50i | 1.21469 | − | 0.780633i | 0.233251 | − | 0.972417i | \(-0.425064\pi\) |
0.981437 | + | 0.191784i | \(0.0614272\pi\) | |||||||
\(180\) | 184.421 | − | 73.8310i | 0.0763663 | − | 0.0305724i | ||||
\(181\) | 95.3354 | − | 2001.34i | 0.0391504 | − | 0.821868i | −0.890847 | − | 0.454303i | \(-0.849888\pi\) |
0.929998 | − | 0.367565i | \(-0.119809\pi\) | |||||||
\(182\) | 5.53384 | + | 7.77119i | 0.00225382 | + | 0.00316505i | ||||
\(183\) | 833.270 | + | 2407.57i | 0.336596 | + | 0.972530i | ||||
\(184\) | −1266.92 | + | 244.178i | −0.507600 | + | 0.0978318i | ||||
\(185\) | −279.116 | − | 111.741i | −0.110924 | − | 0.0444074i | ||||
\(186\) | 101.038 | − | 221.241i | 0.0398303 | − | 0.0872161i | ||||
\(187\) | 1699.00 | − | 1960.75i | 0.664403 | − | 0.766762i | ||||
\(188\) | −384.526 | + | 1585.04i | −0.149172 | + | 0.614897i | ||||
\(189\) | 370.515 | + | 353.286i | 0.142598 | + | 0.135967i | ||||
\(190\) | −87.1658 | + | 68.5480i | −0.0332825 | + | 0.0261736i | ||||
\(191\) | 89.1702 | + | 1871.91i | 0.0337808 | + | 0.709146i | 0.950707 | + | 0.310090i | \(0.100359\pi\) |
−0.916927 | + | 0.399056i | \(0.869338\pi\) | |||||||
\(192\) | −209.703 | − | 459.185i | −0.0788229 | − | 0.172598i | ||||
\(193\) | −1123.30 | − | 329.831i | −0.418949 | − | 0.123014i | 0.0654622 | − | 0.997855i | \(-0.479148\pi\) |
−0.484411 | + | 0.874841i | \(0.660966\pi\) | |||||||
\(194\) | −301.877 | + | 423.927i | −0.111719 | + | 0.156888i | ||||
\(195\) | −3.74677 | − | 2.94649i | −0.00137596 | − | 0.00108207i | ||||
\(196\) | 16.4704 | + | 114.554i | 0.00600233 | + | 0.0417471i | ||||
\(197\) | −372.025 | − | 71.7019i | −0.134546 | − | 0.0259317i | 0.121533 | − | 0.992587i | \(-0.461219\pi\) |
−0.256080 | + | 0.966656i | \(0.582431\pi\) | |||||||
\(198\) | 391.821 | + | 251.808i | 0.140634 | + | 0.0903799i | ||||
\(199\) | −929.264 | − | 88.7340i | −0.331024 | − | 0.0316090i | −0.0717790 | − | 0.997421i | \(-0.522868\pi\) |
−0.259245 | + | 0.965812i | \(0.583474\pi\) | |||||||
\(200\) | −1722.95 | −0.609153 | ||||||||
\(201\) | 1292.54 | − | 1017.95i | 0.453575 | − | 0.357216i | ||||
\(202\) | 232.843 | 0.0811028 | ||||||||
\(203\) | −894.368 | − | 85.4018i | −0.309223 | − | 0.0295272i | ||||
\(204\) | −884.364 | − | 568.346i | −0.303519 | − | 0.195060i | ||||
\(205\) | −224.807 | − | 43.3280i | −0.0765913 | − | 0.0147618i | ||||
\(206\) | 139.097 | + | 967.443i | 0.0470455 | + | 0.327208i | ||||
\(207\) | 609.607 | + | 479.400i | 0.204689 | + | 0.160969i | ||||
\(208\) | −12.0173 | + | 16.8759i | −0.00400600 | + | 0.00562564i | ||||
\(209\) | 1754.51 | + | 515.172i | 0.580681 | + | 0.170503i | ||||
\(210\) | 74.3126 | + | 162.722i | 0.0244193 | + | 0.0534709i | ||||
\(211\) | −62.5399 | − | 1312.87i | −0.0204049 | − | 0.428351i | −0.985838 | − | 0.167700i | \(-0.946366\pi\) |
0.965433 | − | 0.260651i | \(-0.0839370\pi\) | |||||||
\(212\) | 387.995 | − | 305.123i | 0.125696 | − | 0.0988487i | ||||
\(213\) | −206.220 | − | 196.630i | −0.0663379 | − | 0.0632530i | ||||
\(214\) | −315.916 | + | 1302.22i | −0.100914 | + | 0.415973i | ||||
\(215\) | 847.262 | − | 977.793i | 0.268757 | − | 0.310162i | ||||
\(216\) | 167.942 | − | 367.741i | 0.0529027 | − | 0.115841i | ||||
\(217\) | −1430.08 | − | 572.518i | −0.447375 | − | 0.179102i | ||||
\(218\) | −818.574 | + | 157.767i | −0.254316 | + | 0.0490154i | ||||
\(219\) | 698.878 | + | 2019.27i | 0.215643 | + | 0.623059i | ||||
\(220\) | −663.949 | − | 932.385i | −0.203470 | − | 0.285734i | ||||
\(221\) | −1.20022 | + | 25.1958i | −0.000365320 | + | 0.00766901i | ||||
\(222\) | −265.164 | + | 106.156i | −0.0801650 | + | 0.0320932i | ||||
\(223\) | −3313.34 | + | 2129.35i | −0.994966 | + | 0.639426i | −0.933460 | − | 0.358681i | \(-0.883227\pi\) |
−0.0615061 | + | 0.998107i | \(0.519590\pi\) | |||||||
\(224\) | 2709.86 | − | 1397.03i | 0.808304 | − | 0.416710i | ||||
\(225\) | 678.188 | + | 782.671i | 0.200945 | + | 0.231903i | ||||
\(226\) | 19.1665 | − | 5.62778i | 0.00564130 | − | 0.00165644i | ||||
\(227\) | 1080.23 | − | 3121.11i | 0.315847 | − | 0.912580i | −0.669619 | − | 0.742705i | \(-0.733542\pi\) |
0.985466 | − | 0.169875i | \(-0.0543363\pi\) | |||||||
\(228\) | 105.445 | − | 733.383i | 0.0306282 | − | 0.213024i | ||||
\(229\) | 39.2420 | − | 37.4172i | 0.0113239 | − | 0.0107974i | −0.684396 | − | 0.729111i | \(-0.739934\pi\) |
0.695720 | + | 0.718313i | \(0.255086\pi\) | |||||||
\(230\) | 135.494 | + | 234.683i | 0.0388445 | + | 0.0672806i | ||||
\(231\) | 1474.93 | − | 2554.65i | 0.420100 | − | 0.727635i | ||||
\(232\) | 167.265 | + | 689.475i | 0.0473339 | + | 0.195113i | ||||
\(233\) | −344.724 | − | 177.718i | −0.0969254 | − | 0.0499685i | 0.409082 | − | 0.912498i | \(-0.365849\pi\) |
−0.506008 | + | 0.862529i | \(0.668879\pi\) | |||||||
\(234\) | −4.50779 | + | 0.430442i | −0.00125933 | + | 0.000120252i | ||||
\(235\) | 730.510 | − | 69.7552i | 0.202780 | − | 0.0193631i | ||||
\(236\) | 4161.01 | + | 2145.15i | 1.14771 | + | 0.591683i | ||||
\(237\) | 242.725 | + | 1000.53i | 0.0665261 | + | 0.274224i | ||||
\(238\) | 473.331 | − | 819.833i | 0.128914 | − | 0.223285i | ||||
\(239\) | 2748.99 | + | 4761.38i | 0.744005 | + | 1.28865i | 0.950658 | + | 0.310240i | \(0.100409\pi\) |
−0.206654 | + | 0.978414i | \(0.566257\pi\) | |||||||
\(240\) | −281.150 | + | 268.076i | −0.0756174 | + | 0.0721010i | ||||
\(241\) | −104.048 | + | 723.668i | −0.0278104 | + | 0.193426i | −0.998991 | − | 0.0449211i | \(-0.985696\pi\) |
0.971180 | + | 0.238347i | \(0.0766055\pi\) | |||||||
\(242\) | 443.325 | − | 1280.90i | 0.117760 | − | 0.340246i | ||||
\(243\) | −233.157 | + | 68.4610i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −3895.20 | − | 4495.29i | −1.02198 | − | 1.17943i | ||||
\(245\) | 46.2822 | − | 23.8602i | 0.0120688 | − | 0.00622192i | ||||
\(246\) | −182.973 | + | 117.590i | −0.0474225 | + | 0.0304766i | ||||
\(247\) | −16.5048 | + | 6.60751i | −0.00425171 | + | 0.00170213i | ||||
\(248\) | −57.8804 | + | 1215.06i | −0.0148202 | + | 0.311114i | ||||
\(249\) | −2393.06 | − | 3360.59i | −0.609053 | − | 0.855295i | ||||
\(250\) | 246.928 | + | 713.451i | 0.0624683 | + | 0.180490i | ||||
\(251\) | −2148.16 | + | 414.024i | −0.540202 | + | 0.104115i | −0.452052 | − | 0.891992i | \(-0.649308\pi\) |
−0.0881505 | + | 0.996107i | \(0.528096\pi\) | |||||||
\(252\) | −1109.64 | − | 444.231i | −0.277383 | − | 0.111047i | ||||
\(253\) | 1856.32 | − | 4064.78i | 0.461289 | − | 1.01008i | ||||
\(254\) | 450.679 | − | 520.111i | 0.111331 | − | 0.128483i | ||||
\(255\) | −111.510 | + | 459.649i | −0.0273843 | + | 0.112880i | ||||
\(256\) | −76.0666 | − | 72.5294i | −0.0185709 | − | 0.0177074i | ||||
\(257\) | −1800.01 | + | 1415.55i | −0.436894 | + | 0.343577i | −0.812256 | − | 0.583301i | \(-0.801761\pi\) |
0.375362 | + | 0.926878i | \(0.377518\pi\) | |||||||
\(258\) | −58.4845 | − | 1227.74i | −0.0141127 | − | 0.296263i | ||||
\(259\) | 751.478 | + | 1645.51i | 0.180288 | + | 0.394776i | ||||
\(260\) | 10.6778 | + | 3.13527i | 0.00254695 | + | 0.000747851i | ||||
\(261\) | 247.364 | − | 347.374i | 0.0586646 | − | 0.0823829i | ||||
\(262\) | 567.368 | + | 446.183i | 0.133787 | + | 0.105211i | ||||
\(263\) | 56.2974 | + | 391.557i | 0.0131994 | + | 0.0918039i | 0.995356 | − | 0.0962598i | \(-0.0306880\pi\) |
−0.982157 | + | 0.188064i | \(0.939779\pi\) | |||||||
\(264\) | −2287.34 | − | 440.848i | −0.533242 | − | 0.102774i | ||||
\(265\) | −186.828 | − | 120.067i | −0.0433084 | − | 0.0278326i | ||||
\(266\) | 664.192 | + | 63.4226i | 0.153098 | + | 0.0146191i | ||||
\(267\) | −4739.48 | −1.08634 | ||||||||
\(268\) | −1918.24 | + | 3327.93i | −0.437221 | + | 0.758529i | ||||
\(269\) | 595.367 | 0.134945 | 0.0674724 | − | 0.997721i | \(-0.478507\pi\) | ||||
0.0674724 | + | 0.997721i | \(0.478507\pi\) | |||||||
\(270\) | −84.5256 | − | 8.07122i | −0.0190521 | − | 0.00181925i | ||||
\(271\) | −3058.10 | − | 1965.32i | −0.685485 | − | 0.440535i | 0.150993 | − | 0.988535i | \(-0.451753\pi\) |
−0.836478 | + | 0.548000i | \(0.815389\pi\) | |||||||
\(272\) | 2018.62 | + | 389.056i | 0.449987 | + | 0.0867280i | ||||
\(273\) | 4.08155 | + | 28.3878i | 0.000904861 | + | 0.00629344i | ||||
\(274\) | −757.695 | − | 595.858i | −0.167058 | − | 0.131376i | ||||
\(275\) | 3461.35 | − | 4860.79i | 0.759008 | − | 1.06588i | ||||
\(276\) | −1737.29 | − | 510.115i | −0.378886 | − | 0.111251i | ||||
\(277\) | 2324.25 | + | 5089.39i | 0.504153 | + | 1.10394i | 0.975097 | + | 0.221778i | \(0.0711860\pi\) |
−0.470944 | + | 0.882163i | \(0.656087\pi\) | |||||||
\(278\) | −17.9447 | − | 376.705i | −0.00387141 | − | 0.0812708i | ||||
\(279\) | 574.740 | − | 451.981i | 0.123329 | − | 0.0969870i | ||||
\(280\) | −647.514 | − | 617.403i | −0.138201 | − | 0.131775i | ||||
\(281\) | −1060.24 | + | 4370.36i | −0.225084 | + | 0.927808i | 0.741397 | + | 0.671067i | \(0.234164\pi\) |
−0.966480 | + | 0.256741i | \(0.917351\pi\) | |||||||
\(282\) | 456.537 | − | 526.871i | 0.0964055 | − | 0.111258i | ||||
\(283\) | −3204.52 | + | 7016.92i | −0.673106 | + | 1.47390i | 0.196680 | + | 0.980468i | \(0.436984\pi\) |
−0.869786 | + | 0.493429i | \(0.835743\pi\) | |||||||
\(284\) | 617.597 | + | 247.248i | 0.129041 | + | 0.0516602i | ||||
\(285\) | −327.336 | + | 63.0888i | −0.0680340 | + | 0.0131125i | ||||
\(286\) | 8.53388 | + | 24.6570i | 0.00176440 | + | 0.00509791i | ||||
\(287\) | 799.044 | + | 1122.10i | 0.164342 | + | 0.230786i | ||||
\(288\) | −68.8567 | + | 1445.48i | −0.0140883 | + | 0.295749i | ||||
\(289\) | −2237.38 | + | 895.712i | −0.455400 | + | 0.182315i | ||||
\(290\) | 125.356 | − | 80.5616i | 0.0253834 | − | 0.0163129i | ||||
\(291\) | −1390.59 | + | 716.901i | −0.280131 | + | 0.144417i | ||||
\(292\) | −3266.97 | − | 3770.28i | −0.654743 | − | 0.755613i | ||||
\(293\) | −5282.50 | + | 1551.08i | −1.05327 | + | 0.309267i | −0.762136 | − | 0.647417i | \(-0.775849\pi\) |
−0.291129 | + | 0.956684i | \(0.594031\pi\) | |||||||
\(294\) | 16.1793 | − | 46.7471i | 0.00320952 | − | 0.00927329i | ||||
\(295\) | 299.755 | − | 2084.84i | 0.0591608 | − | 0.411472i | ||||
\(296\) | 1033.86 | − | 985.785i | 0.203013 | − | 0.193573i | ||||
\(297\) | 700.084 | + | 1212.58i | 0.136778 | + | 0.236906i | ||||
\(298\) | 293.838 | − | 508.942i | 0.0571193 | − | 0.0989335i | ||||
\(299\) | 10.2427 | + | 42.2210i | 0.00198110 | + | 0.00816622i | ||||
\(300\) | −2149.09 | − | 1107.94i | −0.413593 | − | 0.213222i | ||||
\(301\) | −7749.40 | + | 739.978i | −1.48395 | + | 0.141700i | ||||
\(302\) | 2700.95 | − | 257.909i | 0.514642 | − | 0.0491424i | ||||
\(303\) | 622.162 | + | 320.747i | 0.117961 | + | 0.0608133i | ||||
\(304\) | 341.595 | + | 1408.07i | 0.0644468 | + | 0.265653i | ||||
\(305\) | −1338.10 | + | 2317.66i | −0.251212 | + | 0.435112i | ||||
\(306\) | 224.669 | + | 389.138i | 0.0419722 | + | 0.0726979i | ||||
\(307\) | −1315.81 | + | 1254.62i | −0.244617 | + | 0.233242i | −0.802462 | − | 0.596704i | \(-0.796477\pi\) |
0.557845 | + | 0.829945i | \(0.311628\pi\) | |||||||
\(308\) | −980.131 | + | 6816.96i | −0.181325 | + | 1.26114i | ||||
\(309\) | −961.005 | + | 2776.64i | −0.176925 | + | 0.511190i | ||||
\(310\) | 245.140 | − | 71.9797i | 0.0449130 | − | 0.0131876i | ||||
\(311\) | −4525.75 | − | 5222.99i | −0.825182 | − | 0.952311i | 0.174294 | − | 0.984694i | \(-0.444236\pi\) |
−0.999476 | + | 0.0323830i | \(0.989690\pi\) | |||||||
\(312\) | 20.1301 | − | 10.3778i | 0.00365270 | − | 0.00188310i | ||||
\(313\) | −6722.85 | + | 4320.51i | −1.21405 | + | 0.780223i | −0.981332 | − | 0.192321i | \(-0.938399\pi\) |
−0.232719 | + | 0.972544i | \(0.574762\pi\) | |||||||
\(314\) | 882.876 | − | 353.450i | 0.158674 | − | 0.0635234i | ||||
\(315\) | −25.5883 | + | 537.165i | −0.00457695 | + | 0.0960819i | ||||
\(316\) | −1394.28 | − | 1957.99i | −0.248210 | − | 0.348562i | ||||
\(317\) | −1527.99 | − | 4414.82i | −0.270726 | − | 0.782212i | −0.995632 | − | 0.0933640i | \(-0.970238\pi\) |
0.724906 | − | 0.688848i | \(-0.241883\pi\) | |||||||
\(318\) | −207.168 | + | 39.9284i | −0.0365328 | + | 0.00704112i | ||||
\(319\) | −2281.18 | − | 913.248i | −0.400381 | − | 0.160289i | ||||
\(320\) | 220.281 | − | 482.347i | 0.0384814 | − | 0.0842626i | ||||
\(321\) | −2637.98 | + | 3044.39i | −0.458685 | + | 0.529350i | ||||
\(322\) | 384.405 | − | 1584.54i | 0.0665281 | − | 0.274233i | ||||
\(323\) | 1276.75 | + | 1217.38i | 0.219939 | + | 0.209712i | ||||
\(324\) | 445.955 | − | 350.703i | 0.0764669 | − | 0.0601342i | ||||
\(325\) | 2.76052 | + | 57.9505i | 0.000471158 | + | 0.00989082i | ||||
\(326\) | 1675.88 | + | 3669.66i | 0.284719 | + | 0.623447i | ||||
\(327\) | −2404.58 | − | 706.048i | −0.406647 | − | 0.119402i | ||||
\(328\) | 630.986 | − | 886.096i | 0.106221 | − | 0.149166i | ||||
\(329\) | −3470.71 | − | 2729.40i | −0.581601 | − | 0.457376i | ||||
\(330\) | 69.6279 | + | 484.273i | 0.0116148 | + | 0.0807828i | ||||
\(331\) | −6423.03 | − | 1237.94i | −1.06659 | − | 0.205569i | −0.374389 | − | 0.927272i | \(-0.622148\pi\) |
−0.692203 | + | 0.721703i | \(0.743360\pi\) | |||||||
\(332\) | 8102.95 | + | 5207.45i | 1.33948 | + | 0.860831i | ||||
\(333\) | −854.756 | − | 81.6193i | −0.140662 | − | 0.0134316i | ||||
\(334\) | −1062.79 | −0.174111 | ||||||||
\(335\) | 1697.25 | + | 325.871i | 0.276807 | + | 0.0531469i | ||||
\(336\) | 2337.38 | 0.379508 | ||||||||
\(337\) | −146.415 | − | 13.9809i | −0.0236668 | − | 0.00225991i | 0.0832159 | − | 0.996532i | \(-0.473481\pi\) |
−0.106883 | + | 0.994272i | \(0.534087\pi\) | |||||||
\(338\) | 1844.20 | + | 1185.20i | 0.296779 | + | 0.190728i | ||||
\(339\) | 58.9657 | + | 11.3647i | 0.00944713 | + | 0.00182079i | ||||
\(340\) | −157.155 | − | 1093.03i | −0.0250674 | − | 0.174347i | ||||
\(341\) | −3311.66 | − | 2604.32i | −0.525913 | − | 0.413582i | ||||
\(342\) | −183.702 | + | 257.973i | −0.0290452 | + | 0.0407883i | ||||
\(343\) | 5939.60 | + | 1744.02i | 0.935010 | + | 0.274544i | ||||
\(344\) | 2553.70 | + | 5591.83i | 0.400251 | + | 0.876428i | ||||
\(345\) | 38.7625 | + | 813.726i | 0.00604900 | + | 0.126984i | ||||
\(346\) | −317.747 | + | 249.879i | −0.0493705 | + | 0.0388254i | ||||
\(347\) | 810.240 | + | 772.563i | 0.125349 | + | 0.119520i | 0.750161 | − | 0.661255i | \(-0.229976\pi\) |
−0.624812 | + | 0.780775i | \(0.714824\pi\) | |||||||
\(348\) | −234.729 | + | 967.567i | −0.0361575 | + | 0.149043i | ||||
\(349\) | −2296.18 | + | 2649.93i | −0.352182 | + | 0.406440i | −0.904005 | − | 0.427521i | \(-0.859387\pi\) |
0.551823 | + | 0.833961i | \(0.313932\pi\) | |||||||
\(350\) | 904.496 | − | 1980.57i | 0.138135 | − | 0.302474i | ||||
\(351\) | −12.6379 | − | 5.05945i | −0.00192182 | − | 0.000769383i | ||||
\(352\) | 8187.62 | − | 1578.04i | 1.23978 | − | 0.238948i | ||||
\(353\) | −421.189 | − | 1216.95i | −0.0635060 | − | 0.183489i | 0.908784 | − | 0.417267i | \(-0.137012\pi\) |
−0.972290 | + | 0.233779i | \(0.924891\pi\) | |||||||
\(354\) | −1160.69 | − | 1629.96i | −0.174266 | − | 0.244722i | ||||
\(355\) | 14.2418 | − | 298.973i | 0.00212924 | − | 0.0446982i | ||||
\(356\) | 10272.7 | − | 4112.56i | 1.52936 | − | 0.612262i | ||||
\(357\) | 2394.09 | − | 1538.59i | 0.354927 | − | 0.228097i | ||||
\(358\) | 3067.19 | − | 1581.25i | 0.452810 | − | 0.233440i | ||||
\(359\) | −3193.36 | − | 3685.34i | −0.469469 | − | 0.541796i | 0.470795 | − | 0.882243i | \(-0.343967\pi\) |
−0.940264 | + | 0.340447i | \(0.889422\pi\) | |||||||
\(360\) | 407.465 | − | 119.643i | 0.0596536 | − | 0.0175159i | ||||
\(361\) | 1836.70 | − | 5306.78i | 0.267779 | − | 0.773696i | ||||
\(362\) | 284.554 | − | 1979.12i | 0.0413144 | − | 0.287348i | ||||
\(363\) | 2949.05 | − | 2811.92i | 0.426405 | − | 0.406577i | ||||
\(364\) | −33.4794 | − | 57.9881i | −0.00482088 | − | 0.00835001i | ||||
\(365\) | −1122.29 | + | 1943.87i | −0.160941 | + | 0.278758i | ||||
\(366\) | 599.401 | + | 2470.77i | 0.0856044 | + | 0.352866i | ||||
\(367\) | 10571.0 | + | 5449.73i | 1.50355 | + | 0.775133i | 0.996240 | − | 0.0866328i | \(-0.0276107\pi\) |
0.507307 | + | 0.861765i | \(0.330641\pi\) | |||||||
\(368\) | 3524.76 | − | 336.573i | 0.499295 | − | 0.0476769i | ||||
\(369\) | −650.891 | + | 62.1525i | −0.0918266 | + | 0.00876838i | ||||
\(370\) | −266.678 | − | 137.482i | −0.0374701 | − | 0.0193172i | ||||
\(371\) | 315.030 | + | 1298.57i | 0.0440850 | + | 0.181721i | ||||
\(372\) | −853.537 | + | 1478.37i | −0.118962 | + | 0.206048i | ||||
\(373\) | −4111.38 | − | 7121.11i | −0.570721 | − | 0.988518i | −0.996492 | − | 0.0836870i | \(-0.973330\pi\) |
0.425771 | − | 0.904831i | \(-0.360003\pi\) | |||||||
\(374\) | 1873.81 | − | 1786.68i | 0.259071 | − | 0.247024i | ||||
\(375\) | −322.999 | + | 2246.51i | −0.0444789 | + | 0.309358i | ||||
\(376\) | −1140.39 | + | 3294.95i | −0.156413 | + | 0.451925i | ||||
\(377\) | 22.9222 | − | 6.73056i | 0.00313144 | − | 0.000919474i | ||||
\(378\) | 334.563 | + | 386.107i | 0.0455240 | + | 0.0525375i | ||||
\(379\) | 2041.31 | − | 1052.37i | 0.276662 | − | 0.142629i | −0.314312 | − | 0.949320i | \(-0.601774\pi\) |
0.590974 | + | 0.806690i | \(0.298743\pi\) | |||||||
\(380\) | 654.747 | − | 420.780i | 0.0883889 | − | 0.0568041i | ||||
\(381\) | 1920.69 | − | 768.929i | 0.258268 | − | 0.103395i | ||||
\(382\) | −88.9860 | + | 1868.05i | −0.0119186 | + | 0.250203i | ||||
\(383\) | 556.629 | + | 781.677i | 0.0742622 | + | 0.104287i | 0.850036 | − | 0.526724i | \(-0.176580\pi\) |
−0.775774 | + | 0.631011i | \(0.782640\pi\) | |||||||
\(384\) | −1426.91 | − | 4122.80i | −0.189627 | − | 0.547892i | ||||
\(385\) | 3042.66 | − | 586.425i | 0.402775 | − | 0.0776285i | ||||
\(386\) | −1084.62 | − | 434.216i | −0.143020 | − | 0.0572565i | ||||
\(387\) | 1534.97 | − | 3361.12i | 0.201620 | − | 0.441486i | ||||
\(388\) | 2392.00 | − | 2760.51i | 0.312977 | − | 0.361195i | ||||
\(389\) | 3118.21 | − | 12853.4i | 0.406425 | − | 1.67531i | −0.289488 | − | 0.957181i | \(-0.593485\pi\) |
0.695914 | − | 0.718126i | \(-0.255000\pi\) | |||||||
\(390\) | −3.44260 | − | 3.28251i | −0.000446981 | − | 0.000426196i | ||||
\(391\) | 3388.73 | − | 2664.92i | 0.438300 | − | 0.344683i | ||||
\(392\) | 11.7721 | + | 247.127i | 0.00151679 | + | 0.0318413i | ||||
\(393\) | 901.394 | + | 1973.78i | 0.115698 | + | 0.253343i | ||||
\(394\) | −362.773 | − | 106.520i | −0.0463865 | − | 0.0136203i | ||||
\(395\) | −627.320 | + | 880.948i | −0.0799086 | + | 0.112216i | ||||
\(396\) | −2569.59 | − | 2020.75i | −0.326078 | − | 0.256431i | ||||
\(397\) | −936.275 | − | 6511.94i | −0.118364 | − | 0.823236i | −0.959358 | − | 0.282192i | \(-0.908938\pi\) |
0.840994 | − | 0.541044i | \(-0.181971\pi\) | |||||||
\(398\) | −914.728 | − | 176.299i | −0.115204 | − | 0.0222037i | ||||
\(399\) | 1687.37 | + | 1084.41i | 0.211715 | + | 0.136061i | ||||
\(400\) | 4706.87 | + | 449.452i | 0.588359 | + | 0.0561815i | ||||
\(401\) | −5399.26 | −0.672384 | −0.336192 | − | 0.941793i | \(-0.609139\pi\) | ||||
−0.336192 | + | 0.941793i | \(0.609139\pi\) | |||||||
\(402\) | 1380.59 | − | 888.633i | 0.171287 | − | 0.110251i | ||||
\(403\) | 40.9607 | 0.00506303 | ||||||||
\(404\) | −1626.84 | − | 155.344i | −0.200342 | − | 0.0191303i | ||||
\(405\) | −214.736 | − | 138.003i | −0.0263465 | − | 0.0169319i | ||||
\(406\) | −880.378 | − | 169.679i | −0.107617 | − | 0.0207414i | ||||
\(407\) | 704.105 | + | 4897.16i | 0.0857523 | + | 0.596420i | ||||
\(408\) | −1766.51 | − | 1389.20i | −0.214351 | − | 0.168567i | ||||
\(409\) | −8646.44 | + | 12142.2i | −1.04533 | + | 1.46796i | −0.169380 | + | 0.985551i | \(0.554177\pi\) |
−0.875947 | + | 0.482407i | \(0.839763\pi\) | |||||||
\(410\) | −219.217 | − | 64.3679i | −0.0264057 | − | 0.00775342i | ||||
\(411\) | −1203.77 | − | 2635.89i | −0.144471 | − | 0.316348i | ||||
\(412\) | −326.409 | − | 6852.17i | −0.0390316 | − | 0.819375i | ||||
\(413\) | −9961.81 | + | 7834.06i | −1.18690 | + | 0.933387i | ||||
\(414\) | 560.117 | + | 534.071i | 0.0664934 | + | 0.0634013i | ||||
\(415\) | 1021.70 | − | 4211.51i | 0.120851 | − | 0.498156i | ||||
\(416\) | −53.0886 | + | 61.2675i | −0.00625693 | + | 0.00722088i | ||||
\(417\) | 470.972 | − | 1031.29i | 0.0553084 | − | 0.121109i | ||||
\(418\) | 1694.09 | + | 678.212i | 0.198232 | + | 0.0793599i | ||||
\(419\) | −2677.36 | + | 516.019i | −0.312166 | + | 0.0601651i | −0.342928 | − | 0.939362i | \(-0.611419\pi\) |
0.0307619 | + | 0.999527i | \(0.490207\pi\) | |||||||
\(420\) | −410.649 | − | 1186.49i | −0.0477086 | − | 0.137845i | ||||
\(421\) | 8936.35 | + | 12549.4i | 1.03452 | + | 1.45277i | 0.885898 | + | 0.463879i | \(0.153543\pi\) |
0.148617 | + | 0.988895i | \(0.452518\pi\) | |||||||
\(422\) | 62.4107 | − | 1310.16i | 0.00719930 | − | 0.151132i | ||||
\(423\) | 1945.66 | − | 778.923i | 0.223643 | − | 0.0895332i | ||||
\(424\) | 887.687 | − | 570.482i | 0.101674 | − | 0.0653421i | ||||
\(425\) | 5116.93 | − | 2637.96i | 0.584018 | − | 0.301082i | ||||
\(426\) | −186.210 | − | 214.898i | −0.0211782 | − | 0.0244409i | ||||
\(427\) | 15450.1 | − | 4536.56i | 1.75101 | − | 0.514144i | ||||
\(428\) | 3076.05 | − | 8887.66i | 0.347398 | − | 1.00374i | ||||
\(429\) | −11.1629 | + | 77.6399i | −0.00125630 | + | 0.00873774i | ||||
\(430\) | 934.437 | − | 890.984i | 0.104797 | − | 0.0999234i | ||||
\(431\) | 5559.23 | + | 9628.86i | 0.621296 | + | 1.07612i | 0.989245 | + | 0.146270i | \(0.0467268\pi\) |
−0.367949 | + | 0.929846i | \(0.619940\pi\) | |||||||
\(432\) | −554.726 | + | 960.814i | −0.0617807 | + | 0.107007i | ||||
\(433\) | 375.081 | + | 1546.11i | 0.0416288 | + | 0.171596i | 0.988831 | − | 0.149040i | \(-0.0476184\pi\) |
−0.947202 | + | 0.320636i | \(0.896103\pi\) | |||||||
\(434\) | −1366.36 | − | 704.406i | −0.151123 | − | 0.0779091i | ||||
\(435\) | 445.931 | − | 42.5812i | 0.0491511 | − | 0.00469337i | ||||
\(436\) | 5824.51 | − | 556.173i | 0.639778 | − | 0.0610914i | ||||
\(437\) | 2700.69 | + | 1392.31i | 0.295633 | + | 0.152410i | ||||
\(438\) | 502.728 | + | 2072.27i | 0.0548431 | + | 0.226066i | ||||
\(439\) | 2794.15 | − | 4839.62i | 0.303776 | − | 0.526156i | −0.673212 | − | 0.739450i | \(-0.735086\pi\) |
0.976988 | + | 0.213294i | \(0.0684192\pi\) | |||||||
\(440\) | −1223.47 | − | 2119.11i | −0.132560 | − | 0.229601i | ||||
\(441\) | 107.627 | − | 102.622i | 0.0116215 | − | 0.0110811i | ||||
\(442\) | −3.58238 | + | 24.9160i | −0.000385512 | + | 0.00268130i | ||||
\(443\) | 4814.73 | − | 13911.3i | 0.516377 | − | 1.49197i | −0.321925 | − | 0.946765i | \(-0.604330\pi\) |
0.838302 | − | 0.545207i | \(-0.183549\pi\) | |||||||
\(444\) | 1923.48 | − | 564.785i | 0.205595 | − | 0.0603683i | ||||
\(445\) | −3260.26 | − | 3762.54i | −0.347306 | − | 0.400812i | ||||
\(446\) | −3493.51 | + | 1801.03i | −0.370903 | + | 0.191214i | ||||
\(447\) | 1486.22 | − | 955.137i | 0.157261 | − | 0.101066i | ||||
\(448\) | −2961.99 | + | 1185.80i | −0.312369 | + | 0.125053i | ||||
\(449\) | −688.821 | + | 14460.1i | −0.0723997 | + | 1.51986i | 0.612063 | + | 0.790809i | \(0.290340\pi\) |
−0.684463 | + | 0.729048i | \(0.739963\pi\) | |||||||
\(450\) | 599.479 | + | 841.850i | 0.0627994 | + | 0.0881893i | ||||
\(451\) | 1232.23 | + | 3560.29i | 0.128655 | + | 0.371724i | ||||
\(452\) | −137.668 | + | 26.5333i | −0.0143260 | + | 0.00276111i | ||||
\(453\) | 7572.28 | + | 3031.48i | 0.785379 | + | 0.314418i | ||||
\(454\) | 1369.18 | − | 2998.09i | 0.141540 | − | 0.309928i | ||||
\(455\) | −19.7286 | + | 22.7680i | −0.00203273 | + | 0.00234590i | ||||
\(456\) | 373.423 | − | 1539.27i | 0.0383490 | − | 0.158077i | ||||
\(457\) | 3412.21 | + | 3253.53i | 0.349270 | + | 0.333028i | 0.844323 | − | 0.535835i | \(-0.180003\pi\) |
−0.495053 | + | 0.868863i | \(0.664851\pi\) | |||||||
\(458\) | 42.5330 | − | 33.4483i | 0.00433938 | − | 0.00341253i | ||||
\(459\) | 64.2739 | + | 1349.28i | 0.00653606 | + | 0.137209i | ||||
\(460\) | −790.106 | − | 1730.09i | −0.0800845 | − | 0.175361i | ||||
\(461\) | −17265.8 | − | 5069.69i | −1.74436 | − | 0.512189i | −0.754752 | − | 0.656011i | \(-0.772243\pi\) |
−0.989604 | + | 0.143822i | \(0.954061\pi\) | |||||||
\(462\) | 1707.55 | − | 2397.92i | 0.171953 | − | 0.241475i | ||||
\(463\) | 10554.3 | + | 8300.00i | 1.05940 | + | 0.833118i | 0.986424 | − | 0.164216i | \(-0.0525093\pi\) |
0.0729717 | + | 0.997334i | \(0.476752\pi\) | |||||||
\(464\) | −277.089 | − | 1927.19i | −0.0277231 | − | 0.192818i | ||||
\(465\) | 754.175 | + | 145.355i | 0.0752129 | + | 0.0144961i | ||||
\(466\) | −325.596 | − | 209.248i | −0.0323668 | − | 0.0208009i | ||||
\(467\) | −1068.93 | − | 102.070i | −0.105919 | − | 0.0101140i | 0.0419620 | − | 0.999119i | \(-0.486639\pi\) |
−0.147881 | + | 0.989005i | \(0.547245\pi\) | |||||||
\(468\) | 31.7824 | 0.00313920 | ||||||||
\(469\) | −6037.79 | − | 8466.19i | −0.594455 | − | 0.833545i | ||||
\(470\) | 732.317 | 0.0718707 | ||||||||
\(471\) | 2845.95 | + | 271.756i | 0.278417 | + | 0.0265856i | ||||
\(472\) | 8419.04 | + | 5410.59i | 0.821012 | + | 0.527632i | ||||
\(473\) | −20906.0 | − | 4029.31i | −2.03226 | − | 0.391687i | ||||
\(474\) | 146.217 | + | 1016.96i | 0.0141687 | + | 0.0985457i | ||||
\(475\) | 3189.40 | + | 2508.17i | 0.308084 | + | 0.242280i | ||||
\(476\) | −3854.05 | + | 5412.26i | −0.371114 | + | 0.521156i | ||||
\(477\) | −608.562 | − | 178.690i | −0.0584154 | − | 0.0171523i | ||||
\(478\) | 2279.22 | + | 4990.80i | 0.218095 | + | 0.477561i | ||||
\(479\) | 598.718 | + | 12568.6i | 0.0571109 | + | 1.19890i | 0.827550 | + | 0.561392i | \(0.189734\pi\) |
−0.770439 | + | 0.637513i | \(0.779963\pi\) | |||||||
\(480\) | −1194.89 | + | 939.673i | −0.113623 | + | 0.0893542i | ||||
\(481\) | −34.8129 | − | 33.1940i | −0.00330007 | − | 0.00314661i | ||||
\(482\) | −172.010 | + | 709.034i | −0.0162548 | + | 0.0670033i | ||||
\(483\) | 3209.88 | − | 3704.40i | 0.302391 | − | 0.348978i | ||||
\(484\) | −3952.01 | + | 8653.70i | −0.371151 | + | 0.812707i | ||||
\(485\) | −1525.71 | − | 610.801i | −0.142843 | − | 0.0571857i | ||||
\(486\) | −238.116 | + | 45.8931i | −0.0222246 | + | 0.00428344i | ||||
\(487\) | −5656.33 | − | 16342.9i | −0.526309 | − | 1.52067i | −0.824329 | − | 0.566111i | \(-0.808447\pi\) |
0.298020 | − | 0.954560i | \(-0.403674\pi\) | |||||||
\(488\) | −7375.81 | − | 10357.9i | −0.684195 | − | 0.960817i | ||||
\(489\) | −577.061 | + | 12114.0i | −0.0533652 | + | 1.12027i | ||||
\(490\) | 48.2409 | − | 19.3127i | 0.00444755 | − | 0.00178053i | ||||
\(491\) | 6968.35 | − | 4478.29i | 0.640484 | − | 0.411614i | −0.179694 | − | 0.983723i | \(-0.557511\pi\) |
0.820178 | + | 0.572109i | \(0.193874\pi\) | |||||||
\(492\) | 1356.85 | − | 699.507i | 0.124333 | − | 0.0640980i | ||||
\(493\) | −1552.39 | − | 1791.56i | −0.141818 | − | 0.163667i | ||||
\(494\) | −17.0229 | + | 4.99837i | −0.00155040 | + | 0.000455237i | ||||
\(495\) | −481.050 | + | 1389.90i | −0.0436800 | + | 0.126205i | ||||
\(496\) | 475.086 | − | 3304.29i | 0.0430080 | − | 0.299127i | ||||
\(497\) | −1303.39 | + | 1242.78i | −0.117636 | + | 0.112165i | ||||
\(498\) | −2058.52 | − | 3565.46i | −0.185230 | − | 0.320828i | ||||
\(499\) | −8546.22 | + | 14802.5i | −0.766696 | + | 1.32796i | 0.172649 | + | 0.984983i | \(0.444767\pi\) |
−0.939345 | + | 0.342974i | \(0.888566\pi\) | |||||||
\(500\) | −1249.26 | − | 5149.51i | −0.111737 | − | 0.460586i | ||||
\(501\) | −2839.79 | − | 1464.01i | −0.253239 | − | 0.130554i | ||||
\(502\) | −2173.29 | + | 207.524i | −0.193225 | + | 0.0184507i | ||||
\(503\) | −17539.6 | + | 1674.83i | −1.55477 | + | 0.148463i | −0.836761 | − | 0.547568i | \(-0.815554\pi\) |
−0.718012 | + | 0.696030i | \(0.754948\pi\) | |||||||
\(504\) | −2271.12 | − | 1170.84i | −0.200722 | − | 0.103479i | ||||
\(505\) | 173.350 | + | 714.557i | 0.0152752 | + | 0.0629651i | ||||
\(506\) | 2229.69 | − | 3861.93i | 0.195892 | − | 0.339296i | ||||
\(507\) | 3295.12 | + | 5707.31i | 0.288642 | + | 0.499942i | ||||
\(508\) | −3495.82 | + | 3333.26i | −0.305319 | + | 0.291121i | ||||
\(509\) | 634.498 | − | 4413.03i | 0.0552527 | − | 0.384291i | −0.943366 | − | 0.331753i | \(-0.892360\pi\) |
0.998619 | − | 0.0525379i | \(-0.0167310\pi\) | |||||||
\(510\) | −154.377 | + | 446.044i | −0.0134038 | + | 0.0387278i | ||||
\(511\) | 12958.3 | − | 3804.89i | 1.12180 | − | 0.329391i | ||||
\(512\) | 7549.95 | + | 8713.11i | 0.651687 | + | 0.752087i | ||||
\(513\) | −846.221 | + | 436.257i | −0.0728296 | + | 0.0375463i | ||||
\(514\) | −1922.44 | + | 1235.48i | −0.164971 | + | 0.106021i | ||||
\(515\) | −2865.37 | + | 1147.12i | −0.245171 | + | 0.0981517i | ||||
\(516\) | −410.481 | + | 8617.05i | −0.0350201 | + | 0.735163i | ||||
\(517\) | −7004.71 | − | 9836.74i | −0.595874 | − | 0.836788i | ||||
\(518\) | 590.438 | + | 1705.96i | 0.0500818 | + | 0.144702i | ||||
\(519\) | −1193.24 | + | 229.979i | −0.100920 | + | 0.0194508i | ||||
\(520\) | 22.0860 | + | 8.84190i | 0.00186257 | + | 0.000745659i | ||||
\(521\) | 1546.36 | − | 3386.06i | 0.130033 | − | 0.284733i | −0.833405 | − | 0.552662i | \(-0.813612\pi\) |
0.963439 | + | 0.267929i | \(0.0863393\pi\) | |||||||
\(522\) | 278.687 | − | 321.622i | 0.0233675 | − | 0.0269675i | ||||
\(523\) | 1113.77 | − | 4591.01i | 0.0931197 | − | 0.383845i | −0.906112 | − | 0.423038i | \(-0.860964\pi\) |
0.999232 | + | 0.0391934i | \(0.0124788\pi\) | |||||||
\(524\) | −3666.44 | − | 3495.94i | −0.305666 | − | 0.291452i | ||||
\(525\) | 5145.12 | − | 4046.17i | 0.427717 | − | 0.336360i | ||||
\(526\) | 18.7837 | + | 394.319i | 0.00155705 | + | 0.0326865i | ||||
\(527\) | −1688.45 | − | 3697.19i | −0.139564 | − | 0.305602i | ||||
\(528\) | 6133.72 | + | 1801.02i | 0.505560 | + | 0.148446i | ||||
\(529\) | −2750.49 | + | 3862.52i | −0.226061 | + | 0.317459i | ||||
\(530\) | −174.208 | − | 136.999i | −0.0142776 | − | 0.0112280i | ||||
\(531\) | −856.083 | − | 5954.19i | −0.0699639 | − | 0.486609i | ||||
\(532\) | −4598.29 | − | 886.248i | −0.374739 | − | 0.0722250i | ||||
\(533\) | −30.8144 | − | 19.8032i | −0.00250417 | − | 0.00160933i | ||||
\(534\) | −4708.28 | − | 449.586i | −0.381549 | − | 0.0364335i | ||||
\(535\) | −4231.51 | −0.341951 | ||||||||
\(536\) | −4758.42 | + | 6692.30i | −0.383456 | + | 0.539297i | ||||
\(537\) | 10373.8 | 0.833638 | ||||||||
\(538\) | 591.447 | + | 56.4763i | 0.0473961 | + | 0.00452578i | ||||
\(539\) | −720.846 | − | 463.260i | −0.0576049 | − | 0.0370204i | ||||
\(540\) | 585.182 | + | 112.785i | 0.0466338 | + | 0.00898793i | ||||
\(541\) | 16.2410 | + | 112.959i | 0.00129068 | + | 0.00897684i | 0.990457 | − | 0.137825i | \(-0.0440111\pi\) |
−0.989166 | + | 0.146802i | \(0.953102\pi\) | |||||||
\(542\) | −2851.54 | − | 2242.47i | −0.225985 | − | 0.177717i | ||||
\(543\) | 3486.62 | − | 4896.27i | 0.275553 | − | 0.386959i | ||||
\(544\) | 7718.49 | + | 2266.35i | 0.608323 | + | 0.178620i | ||||
\(545\) | −1093.58 | − | 2394.61i | −0.0859522 | − | 0.188209i | ||||
\(546\) | 1.36182 | + | 28.5881i | 0.000106741 | + | 0.00224076i | ||||
\(547\) | −11602.6 | + | 9124.39i | −0.906932 | + | 0.713219i | −0.958392 | − | 0.285456i | \(-0.907855\pi\) |
0.0514602 | + | 0.998675i | \(0.483612\pi\) | |||||||
\(548\) | 4896.36 | + | 4668.67i | 0.381683 | + | 0.363934i | ||||
\(549\) | −1801.93 | + | 7427.64i | −0.140081 | + | 0.577421i | ||||
\(550\) | 3899.65 | − | 4500.44i | 0.302330 | − | 0.348908i | ||||
\(551\) | 694.072 | − | 1519.81i | 0.0536633 | − | 0.117506i | ||||
\(552\) | −3593.43 | − | 1438.59i | −0.277077 | − | 0.110925i | ||||
\(553\) | 6389.52 | − | 1231.48i | 0.491338 | − | 0.0946977i | ||||
\(554\) | 1826.16 | + | 5276.35i | 0.140047 | + | 0.404640i | ||||
\(555\) | −523.186 | − | 734.712i | −0.0400144 | − | 0.0561924i | ||||
\(556\) | −125.947 | + | 2643.95i | −0.00960673 | + | 0.201670i | ||||
\(557\) | 5459.15 | − | 2185.51i | 0.415281 | − | 0.166253i | −0.154607 | − | 0.987976i | \(-0.549411\pi\) |
0.569888 | + | 0.821723i | \(0.306987\pi\) | |||||||
\(558\) | 613.831 | − | 394.485i | 0.0465690 | − | 0.0299281i | ||||
\(559\) | 183.987 | − | 94.8519i | 0.0139210 | − | 0.00717676i | ||||
\(560\) | 1607.87 | + | 1855.58i | 0.121330 | + | 0.140022i | ||||
\(561\) | 7468.07 | − | 2192.82i | 0.562036 | − | 0.165029i | ||||
\(562\) | −1467.83 | + | 4241.01i | −0.110172 | + | 0.318321i | ||||
\(563\) | 2920.10 | − | 20309.7i | 0.218592 | − | 1.52034i | −0.524649 | − | 0.851319i | \(-0.675803\pi\) |
0.743241 | − | 0.669024i | \(-0.233288\pi\) | |||||||
\(564\) | −3541.26 | + | 3376.58i | −0.264386 | + | 0.252092i | ||||
\(565\) | 31.5400 | + | 54.6289i | 0.00234849 | + | 0.00406771i | ||||
\(566\) | −3849.04 | + | 6666.74i | −0.285843 | + | 0.495095i | ||||
\(567\) | 362.090 | + | 1492.56i | 0.0268190 | + | 0.110549i | ||||
\(568\) | 1264.05 | + | 651.664i | 0.0933775 | + | 0.0481395i | ||||
\(569\) | −3817.63 | + | 364.540i | −0.281271 | + | 0.0268582i | −0.234738 | − | 0.972059i | \(-0.575423\pi\) |
−0.0465330 | + | 0.998917i | \(0.514817\pi\) | |||||||
\(570\) | −331.165 | + | 31.6224i | −0.0243351 | + | 0.00232372i | ||||
\(571\) | 7610.53 | + | 3923.50i | 0.557777 | + | 0.287554i | 0.713974 | − | 0.700172i | \(-0.246893\pi\) |
−0.156197 | + | 0.987726i | \(0.549924\pi\) | |||||||
\(572\) | −43.1747 | − | 177.968i | −0.00315599 | − | 0.0130091i | ||||
\(573\) | −2811.05 | + | 4868.89i | −0.204945 | + | 0.354975i | ||||
\(574\) | 687.341 | + | 1190.51i | 0.0499809 | + | 0.0865695i | ||||
\(575\) | 7176.18 | − | 6842.47i | 0.520465 | − | 0.496262i | ||||
\(576\) | 215.523 | − | 1498.99i | 0.0155905 | − | 0.108434i | ||||
\(577\) | −4081.46 | + | 11792.6i | −0.294477 | + | 0.850836i | 0.696589 | + | 0.717470i | \(0.254700\pi\) |
−0.991067 | + | 0.133366i | \(0.957421\pi\) | |||||||
\(578\) | −2307.62 | + | 677.577i | −0.166063 | + | 0.0487604i | ||||
\(579\) | −2299.99 | − | 2654.33i | −0.165085 | − | 0.190518i | ||||
\(580\) | −929.593 | + | 479.238i | −0.0665504 | + | 0.0343091i | ||||
\(581\) | −21935.8 | + | 14097.3i | −1.56635 | + | 1.00663i | ||||
\(582\) | −1449.44 | + | 580.269i | −0.103233 | + | 0.0413281i | ||||
\(583\) | −173.892 | + | 3650.43i | −0.0123531 | + | 0.259323i | ||||
\(584\) | −6186.22 | − | 8687.33i | −0.438335 | − | 0.615555i | ||||
\(585\) | −4.67697 | − | 13.5132i | −0.000330545 | − | 0.000955048i | ||||
\(586\) | −5394.85 | + | 1039.77i | −0.380306 | + | 0.0732979i | ||||
\(587\) | 5311.80 | + | 2126.52i | 0.373495 | + | 0.149525i | 0.550813 | − | 0.834629i | \(-0.314318\pi\) |
−0.177318 | + | 0.984154i | \(0.556742\pi\) | |||||||
\(588\) | −144.230 | + | 315.821i | −0.0101156 | + | 0.0221500i | ||||
\(589\) | 1875.97 | − | 2164.98i | 0.131236 | − | 0.151454i | ||||
\(590\) | 495.549 | − | 2042.68i | 0.0345787 | − | 0.142535i | ||||
\(591\) | −822.606 | − | 784.353i | −0.0572546 | − | 0.0545922i | ||||
\(592\) | −3081.54 | + | 2423.35i | −0.213936 | + | 0.168242i | ||||
\(593\) | −504.544 | − | 10591.7i | −0.0349396 | − | 0.733471i | −0.946577 | − | 0.322477i | \(-0.895485\pi\) |
0.911638 | − | 0.410995i | \(-0.134818\pi\) | |||||||
\(594\) | 580.449 | + | 1271.01i | 0.0400945 | + | 0.0877946i | ||||
\(595\) | 2868.32 | + | 842.216i | 0.197630 | + | 0.0580294i | ||||
\(596\) | −2392.54 | + | 3359.86i | −0.164434 | + | 0.230915i | ||||
\(597\) | −2201.32 | − | 1731.14i | −0.150911 | − | 0.118678i | ||||
\(598\) | 6.17018 | + | 42.9146i | 0.000421936 | + | 0.00293463i | ||||
\(599\) | −1762.05 | − | 339.608i | −0.120193 | − | 0.0231653i | 0.128800 | − | 0.991671i | \(-0.458887\pi\) |
−0.248993 | + | 0.968505i | \(0.580100\pi\) | |||||||
\(600\) | −4348.30 | − | 2794.48i | −0.295864 | − | 0.190141i | ||||
\(601\) | 1984.00 | + | 189.449i | 0.134658 | + | 0.0128582i | 0.162167 | − | 0.986763i | \(-0.448152\pi\) |
−0.0275096 | + | 0.999622i | \(0.508758\pi\) | |||||||
\(602\) | −7768.57 | −0.525952 | ||||||||
\(603\) | 4913.08 | − | 472.655i | 0.331801 | − | 0.0319204i | ||||
\(604\) | −19043.2 | −1.28287 | ||||||||
\(605\) | 4260.93 | + | 406.870i | 0.286333 | + | 0.0273415i | ||||
\(606\) | 587.640 | + | 377.653i | 0.0393915 | + | 0.0253154i | ||||
\(607\) | −17762.0 | − | 3423.35i | −1.18771 | − | 0.228912i | −0.443136 | − | 0.896454i | \(-0.646134\pi\) |
−0.744572 | + | 0.667542i | \(0.767346\pi\) | |||||||
\(608\) | 806.883 | + | 5612.00i | 0.0538214 | + | 0.374336i | ||||
\(609\) | −2118.66 | − | 1666.13i | −0.140973 | − | 0.110862i | ||||
\(610\) | −1549.15 | + | 2175.47i | −0.102825 | + | 0.144397i | ||||
\(611\) | 112.651 | + | 33.0774i | 0.00745888 | + | 0.00219013i | ||||
\(612\) | −1310.11 | − | 2868.74i | −0.0865328 | − | 0.189480i | ||||
\(613\) | −678.123 | − | 14235.6i | −0.0446805 | − | 0.937959i | −0.904267 | − | 0.426968i | \(-0.859582\pi\) |
0.859586 | − | 0.510991i | \(-0.170721\pi\) | |||||||
\(614\) | −1426.16 | + | 1121.55i | −0.0937381 | + | 0.0737165i | ||||
\(615\) | −497.085 | − | 473.969i | −0.0325925 | − | 0.0310769i | ||||
\(616\) | −3471.05 | + | 14307.9i | −0.227033 | + | 0.935844i | ||||
\(617\) | −9935.60 | + | 11466.3i | −0.648285 | + | 0.748161i | −0.980817 | − | 0.194931i | \(-0.937552\pi\) |
0.332532 | + | 0.943092i | \(0.392097\pi\) | |||||||
\(618\) | −1218.07 | + | 2667.20i | −0.0792847 | + | 0.173609i | ||||
\(619\) | 5647.54 | + | 2260.93i | 0.366711 | + | 0.146809i | 0.547697 | − | 0.836677i | \(-0.315505\pi\) |
−0.180986 | + | 0.983486i | \(0.557929\pi\) | |||||||
\(620\) | −1760.78 | + | 339.362i | −0.114056 | + | 0.0219824i | ||||
\(621\) | 760.952 | + | 2198.63i | 0.0491722 | + | 0.142074i | ||||
\(622\) | −4000.50 | − | 5617.91i | −0.257886 | − | 0.362151i | ||||
\(623\) | −1425.33 | + | 29921.3i | −0.0916607 | + | 1.92419i | ||||
\(624\) | −57.7001 | + | 23.0996i | −0.00370169 | + | 0.00148193i | ||||
\(625\) | 10094.7 | − | 6487.44i | 0.646058 | − | 0.415196i | ||||
\(626\) | −7088.43 | + | 3654.34i | −0.452573 | + | 0.233317i | ||||
\(627\) | 3592.40 | + | 4145.86i | 0.228815 | + | 0.264066i | ||||
\(628\) | −6404.33 | + | 1880.48i | −0.406943 | + | 0.119489i | ||||
\(629\) | −1561.13 | + | 4510.58i | −0.0989605 | + | 0.285928i | ||||
\(630\) | −76.3751 | + | 531.201i | −0.00482993 | + | 0.0335929i | ||||
\(631\) | 20373.2 | − | 19425.8i | 1.28533 | − | 1.22556i | 0.325319 | − | 0.945604i | \(-0.394528\pi\) |
0.960013 | − | 0.279957i | \(-0.0903202\pi\) | |||||||
\(632\) | −2569.26 | − | 4450.08i | −0.161708 | − | 0.280087i | ||||
\(633\) | 1971.54 | − | 3414.81i | 0.123794 | − | 0.214418i | ||||
\(634\) | −1099.14 | − | 4530.70i | −0.0688521 | − | 0.283812i | ||||
\(635\) | 1931.66 | + | 995.841i | 0.120718 | + | 0.0622342i | ||||
\(636\) | 1474.09 | − | 140.759i | 0.0919050 | − | 0.00877586i | ||||
\(637\) | 8.29314 | − | 0.791899i | 0.000515834 | − | 4.92562e-5i | ||||
\(638\) | −2179.53 | − | 1123.63i | −0.135248 | − | 0.0697254i | ||||
\(639\) | −201.531 | − | 830.721i | −0.0124764 | − | 0.0514285i | ||||
\(640\) | 2291.41 | − | 3968.83i | 0.141525 | − | 0.245128i | ||||
\(641\) | −9902.71 | − | 17152.0i | −0.610192 | − | 1.05688i | −0.991208 | − | 0.132316i | \(-0.957759\pi\) |
0.381015 | − | 0.924569i | \(-0.375575\pi\) | |||||||
\(642\) | −2909.40 | + | 2774.11i | −0.178855 | + | 0.170538i | ||||
\(643\) | 2743.96 | − | 19084.7i | 0.168291 | − | 1.17049i | −0.714124 | − | 0.700019i | \(-0.753175\pi\) |
0.882415 | − | 0.470471i | \(-0.155916\pi\) | |||||||
\(644\) | −3742.92 | + | 10814.5i | −0.229025 | + | 0.661723i | ||||
\(645\) | 3724.19 | − | 1093.52i | 0.227349 | − | 0.0667556i | ||||
\(646\) | 1152.87 | + | 1330.48i | 0.0702150 | + | 0.0810324i | ||||
\(647\) | 25696.6 | − | 13247.5i | 1.56142 | − | 0.804969i | 0.561672 | − | 0.827360i | \(-0.310158\pi\) |
0.999749 | + | 0.0223915i | \(0.00712803\pi\) | |||||||
\(648\) | 1020.29 | − | 655.702i | 0.0618532 | − | 0.0397506i | ||||
\(649\) | −32178.0 | + | 12882.1i | −1.94622 | + | 0.779150i | ||||
\(650\) | −2.75482 | + | 57.8308i | −0.000166235 | + | 0.00348971i | ||||
\(651\) | −2680.60 | − | 3764.38i | −0.161384 | − | 0.226632i | ||||
\(652\) | −9260.84 | − | 26757.4i | −0.556261 | − | 1.60721i | ||||
\(653\) | 14817.1 | − | 2855.75i | 0.887958 | − | 0.171140i | 0.275178 | − | 0.961393i | \(-0.411263\pi\) |
0.612780 | + | 0.790254i | \(0.290051\pi\) | |||||||
\(654\) | −2321.77 | − | 929.497i | −0.138820 | − | 0.0555753i | ||||
\(655\) | −946.862 | + | 2073.34i | −0.0564839 | + | 0.123683i | ||||
\(656\) | −1954.93 | + | 2256.10i | −0.116352 | + | 0.134278i | ||||
\(657\) | −1511.31 | + | 6229.69i | −0.0897438 | + | 0.369929i | ||||
\(658\) | −3188.95 | − | 3040.66i | −0.188934 | − | 0.180148i | ||||
\(659\) | −17480.6 | + | 13746.9i | −1.03330 | + | 0.812597i | −0.982528 | − | 0.186113i | \(-0.940411\pi\) |
−0.0507733 | + | 0.998710i | \(0.516169\pi\) | |||||||
\(660\) | −163.391 | − | 3429.99i | −0.00963632 | − | 0.202291i | ||||
\(661\) | 12789.8 | + | 28005.8i | 0.752596 | + | 1.64796i | 0.761643 | + | 0.647996i | \(0.224393\pi\) |
−0.00904735 | + | 0.999959i | \(0.502880\pi\) | |||||||
\(662\) | −6263.31 | − | 1839.07i | −0.367720 | − | 0.107972i | ||||
\(663\) | −43.8946 | + | 61.6414i | −0.00257123 | + | 0.00361079i | ||||
\(664\) | 16185.5 | + | 12728.4i | 0.945964 | + | 0.743914i | ||||
\(665\) | 299.851 | + | 2085.51i | 0.0174853 | + | 0.121613i | ||||
\(666\) | −841.386 | − | 162.164i | −0.0489535 | − | 0.00943502i | ||||
\(667\) | −3434.84 | − | 2207.43i | −0.199396 | − | 0.128144i | ||||
\(668\) | 7425.52 | + | 709.051i | 0.430093 | + | 0.0410689i | ||||
\(669\) | −11815.7 | −0.682843 | ||||||||
\(670\) | 1655.16 | + | 484.725i | 0.0954394 | + | 0.0279501i | ||||
\(671\) | 44039.5 | 2.53372 | ||||||||
\(672\) | 9104.91 | + | 869.413i | 0.522663 | + | 0.0499083i | ||||
\(673\) | −213.279 | − | 137.066i | −0.0122159 | − | 0.00785068i | 0.534519 | − | 0.845157i | \(-0.320493\pi\) |
−0.546735 | + | 0.837306i | \(0.684129\pi\) | |||||||
\(674\) | −144.124 | − | 27.7777i | −0.00823659 | − | 0.00158747i | ||||
\(675\) | 442.153 | + | 3075.24i | 0.0252126 | + | 0.175357i | ||||
\(676\) | −12094.4 | − | 9511.17i | −0.688122 | − | 0.541145i | ||||
\(677\) | 10803.4 | − | 15171.2i | 0.613305 | − | 0.861266i | −0.384788 | − | 0.923005i | \(-0.625725\pi\) |
0.998092 | + | 0.0617391i | \(0.0196647\pi\) | |||||||
\(678\) | 57.4994 | + | 16.8833i | 0.00325701 | + | 0.000956344i | ||||
\(679\) | 4107.75 | + | 8994.71i | 0.232166 | + | 0.508373i | ||||
\(680\) | −112.325 | − | 2358.00i | −0.00633452 | − | 0.132978i | ||||
\(681\) | 7788.44 | − | 6124.90i | 0.438258 | − | 0.344650i | ||||
\(682\) | −3042.81 | − | 2901.31i | −0.170843 | − | 0.162899i | ||||
\(683\) | −2251.61 | + | 9281.25i | −0.126142 | + | 0.519966i | 0.873319 | + | 0.487149i | \(0.161963\pi\) |
−0.999461 | + | 0.0328174i | \(0.989552\pi\) | |||||||
\(684\) | 1455.61 | − | 1679.86i | 0.0813692 | − | 0.0939051i | ||||
\(685\) | 1264.49 | − | 2768.85i | 0.0705311 | − | 0.154441i | ||||
\(686\) | 5735.06 | + | 2295.97i | 0.319192 | + | 0.127785i | ||||
\(687\) | 159.725 | − | 30.7845i | 0.00887030 | − | 0.00170961i | ||||
\(688\) | −5517.70 | − | 15942.3i | −0.305756 | − | 0.883425i | ||||
\(689\) | −20.6102 | − | 28.9429i | −0.00113960 | − | 0.00160035i | ||||
\(690\) | −38.6825 | + | 812.045i | −0.00213423 | + | 0.0448029i | ||||
\(691\) | 12228.9 | − | 4895.70i | 0.673239 | − | 0.269524i | −0.00975062 | − | 0.999952i | \(-0.503104\pi\) |
0.682989 | + | 0.730428i | \(0.260680\pi\) | |||||||
\(692\) | 2386.76 | − | 1533.88i | 0.131114 | − | 0.0842620i | ||||
\(693\) | 7865.81 | − | 4055.11i | 0.431165 | − | 0.222281i | ||||
\(694\) | 731.620 | + | 844.335i | 0.0400172 | + | 0.0461823i | ||||
\(695\) | 1142.69 | − | 335.523i | 0.0623663 | − | 0.0183124i | ||||
\(696\) | −696.138 | + | 2011.36i | −0.0379124 | + | 0.109541i | ||||
\(697\) | −517.268 | + | 3597.68i | −0.0281104 | + | 0.195512i | ||||
\(698\) | −2532.43 | + | 2414.67i | −0.137326 | + | 0.130941i | ||||
\(699\) | −581.757 | − | 1007.63i | −0.0314793 | − | 0.0545238i | ||||
\(700\) | −7640.93 | + | 13234.5i | −0.412572 | + | 0.714595i | ||||
\(701\) | −5519.17 | − | 22750.3i | −0.297370 | − | 1.22578i | −0.902864 | − | 0.429926i | \(-0.858540\pi\) |
0.605494 | − | 0.795850i | \(-0.292975\pi\) | |||||||
\(702\) | −12.0747 | − | 6.22496i | −0.000649190 | − | 0.000334681i | ||||
\(703\) | −3348.87 | + | 319.779i | −0.179666 | + | 0.0171560i | ||||
\(704\) | −8686.52 | + | 829.462i | −0.465036 | + | 0.0444056i | ||||
\(705\) | 1956.77 | + | 1008.78i | 0.104534 | + | 0.0538908i | ||||
\(706\) | −302.977 | − | 1248.89i | −0.0161511 | − | 0.0665757i | ||||
\(707\) | 2212.05 | − | 3831.38i | 0.117670 | − | 0.203810i | ||||
\(708\) | 7022.12 | + | 12162.7i | 0.372751 | + | 0.645623i | ||||
\(709\) | −5540.65 | + | 5283.00i | −0.293489 | + | 0.279841i | −0.822489 | − | 0.568781i | \(-0.807415\pi\) |
0.529001 | + | 0.848621i | \(0.322567\pi\) | |||||||
\(710\) | 42.5086 | − | 295.654i | 0.00224693 | − | 0.0156277i | ||||
\(711\) | −1010.20 | + | 2918.77i | −0.0532845 | + | 0.153956i | ||||
\(712\) | 22696.8 | − | 6664.37i | 1.19466 | − | 0.350784i | ||||
\(713\) | −4584.39 | − | 5290.67i | −0.240795 | − | 0.277892i | ||||
\(714\) | 2524.28 | − | 1301.36i | 0.132309 | − | 0.0682101i | ||||
\(715\) | −69.3150 | + | 44.5461i | −0.00362550 | + | 0.00232997i | ||||
\(716\) | −22484.9 | + | 9001.61i | −1.17361 | + | 0.469841i | ||||
\(717\) | −784.812 | + | 16475.2i | −0.0408778 | + | 0.858130i | ||||
\(718\) | −2822.75 | − | 3963.99i | −0.146719 | − | 0.206037i | ||||
\(719\) | 11964.5 | + | 34569.3i | 0.620587 | + | 1.79307i | 0.609045 | + | 0.793135i | \(0.291553\pi\) |
0.0115417 | + | 0.999933i | \(0.496326\pi\) | |||||||
\(720\) | −1144.36 | + | 220.556i | −0.0592328 | + | 0.0114162i | ||||
\(721\) | 17240.5 | + | 6902.06i | 0.890528 | + | 0.356513i | ||||
\(722\) | 2328.00 | − | 5097.61i | 0.119999 | − | 0.262761i | ||||
\(723\) | −1436.33 | + | 1657.61i | −0.0738832 | + | 0.0852657i | ||||
\(724\) | −3308.53 | + | 13637.9i | −0.169835 | + | 0.700068i | ||||
\(725\) | −3946.04 | − | 3762.54i | −0.202141 | − | 0.192741i | ||||
\(726\) | 3196.37 | − | 2513.65i | 0.163400 | − | 0.128499i | ||||
\(727\) | 194.373 | + | 4080.39i | 0.00991596 | + | 0.208162i | 0.998388 | + | 0.0567579i | \(0.0180763\pi\) |
−0.988472 | + | 0.151404i | \(0.951621\pi\) | |||||||
\(728\) | −59.4633 | − | 130.206i | −0.00302728 | − | 0.00662881i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −1299.30 | + | 1824.61i | −0.0658755 | + | 0.0925092i | ||||
\(731\) | −16145.7 | − | 12697.1i | −0.816921 | − | 0.642434i | ||||
\(732\) | −2539.52 | − | 17662.8i | −0.128229 | − | 0.891850i | ||||
\(733\) | 29645.3 | + | 5713.66i | 1.49382 | + | 0.287911i | 0.869765 | − | 0.493466i | \(-0.164270\pi\) |
0.624059 | + | 0.781377i | \(0.285483\pi\) | |||||||
\(734\) | 9984.44 | + | 6416.61i | 0.502088 | + | 0.322672i | ||||
\(735\) | 155.505 | + | 14.8489i | 0.00780391 | + | 0.000745183i | ||||
\(736\) | 13855.3 | 0.693906 | ||||||||
\(737\) | −9320.82 | − | 26869.2i | −0.465857 | − | 1.34293i | ||||
\(738\) | −652.501 | −0.0325459 | ||||||||
\(739\) | 291.408 | + | 27.8261i | 0.0145056 | + | 0.00138511i | 0.102306 | − | 0.994753i | \(-0.467378\pi\) |
−0.0878007 | + | 0.996138i | \(0.527984\pi\) | |||||||
\(740\) | 1771.52 | + | 1138.48i | 0.0880030 | + | 0.0565561i | ||||
\(741\) | −52.3710 | − | 10.0937i | −0.00259635 | − | 0.000500405i | ||||
\(742\) | 189.774 | + | 1319.91i | 0.00938924 | + | 0.0653036i | ||||
\(743\) | 2050.77 | + | 1612.74i | 0.101259 | + | 0.0796310i | 0.667505 | − | 0.744605i | \(-0.267362\pi\) |
−0.566246 | + | 0.824236i | \(0.691605\pi\) | |||||||
\(744\) | −2116.81 | + | 2972.64i | −0.104309 | + | 0.146482i | ||||
\(745\) | 1780.62 | + | 522.837i | 0.0875662 | + | 0.0257117i | ||||
\(746\) | −3408.80 | − | 7464.23i | −0.167299 | − | 0.366334i | ||||
\(747\) | −588.907 | − | 12362.7i | −0.0288447 | − | 0.605524i | ||||
\(748\) | −14284.0 | + | 11233.1i | −0.698230 | + | 0.549095i | ||||
\(749\) | 18426.5 | + | 17569.7i | 0.898921 | + | 0.857119i | ||||
\(750\) | −533.975 | + | 2201.08i | −0.0259974 | + | 0.107163i | ||||
\(751\) | −416.169 | + | 480.285i | −0.0202214 | + | 0.0233367i | −0.765770 | − | 0.643114i | \(-0.777642\pi\) |
0.745549 | + | 0.666451i | \(0.232187\pi\) | |||||||
\(752\) | 3974.94 | − | 8703.90i | 0.192754 | − | 0.422072i | ||||
\(753\) | −6092.96 | − | 2439.25i | −0.294874 | − | 0.118050i | ||||
\(754\) | 23.4097 | − | 4.51185i | 0.00113068 | − | 0.000217920i | ||||
\(755\) | 2802.31 | + | 8096.75i | 0.135082 | + | 0.390293i | ||||
\(756\) | −2079.95 | − | 2920.87i | −0.100062 | − | 0.140517i | ||||
\(757\) | 246.755 | − | 5180.03i | 0.0118474 | − | 0.248707i | −0.985173 | − | 0.171565i | \(-0.945117\pi\) |
0.997020 | − | 0.0771420i | \(-0.0245795\pi\) | |||||||
\(758\) | 2127.70 | − | 851.801i | 0.101954 | − | 0.0408164i | ||||
\(759\) | 11277.7 | − | 7247.72i | 0.539333 | − | 0.346608i | ||||
\(760\) | 1478.86 | − | 762.404i | 0.0705840 | − | 0.0363886i | ||||
\(761\) | −2480.81 | − | 2863.01i | −0.118172 | − | 0.136378i | 0.693581 | − | 0.720379i | \(-0.256032\pi\) |
−0.811753 | + | 0.584001i | \(0.801487\pi\) | |||||||
\(762\) | 1980.98 | − | 581.670i | 0.0941778 | − | 0.0276531i | ||||
\(763\) | −5180.57 | + | 14968.3i | −0.245805 | + | 0.710207i | ||||
\(764\) | 1868.02 | − | 12992.4i | 0.0884590 | − | 0.615246i | ||||
\(765\) | −1026.94 | + | 979.183i | −0.0485347 | + | 0.0462777i | ||||
\(766\) | 478.815 | + | 829.331i | 0.0225852 | + | 0.0391187i | ||||
\(767\) | 168.494 | − | 291.840i | 0.00793214 | − | 0.0137389i | ||||
\(768\) | −74.3369 | − | 306.421i | −0.00349271 | − | 0.0143972i | ||||
\(769\) | −19354.4 | − | 9977.90i | −0.907593 | − | 0.467897i | −0.0597916 | − | 0.998211i | \(-0.519044\pi\) |
−0.847801 | + | 0.530314i | \(0.822074\pi\) | |||||||
\(770\) | 3078.25 | − | 293.938i | 0.144068 | − | 0.0137569i | ||||
\(771\) | −6838.71 | + | 653.018i | −0.319442 | + | 0.0305031i | ||||
\(772\) | 7288.37 | + | 3757.42i | 0.339785 | + | 0.175171i | ||||
\(773\) | 1857.09 | + | 7655.03i | 0.0864100 | + | 0.356187i | 0.998559 | − | 0.0536729i | \(-0.0170928\pi\) |
−0.912149 | + | 0.409860i | \(0.865578\pi\) | |||||||
\(774\) | 1843.70 | − | 3193.38i | 0.0856206 | − | 0.148299i | ||||
\(775\) | −4674.19 | − | 8095.93i | −0.216647 | − | 0.375244i | ||||
\(776\) | 5651.31 | − | 5388.52i | 0.261431 | − | 0.249274i | ||||
\(777\) | −772.335 | + | 5371.71i | −0.0356594 | + | 0.248017i | ||||
\(778\) | 4316.95 | − | 12473.0i | 0.198933 | − | 0.574780i | ||||
\(779\) | −2457.97 | + | 721.726i | −0.113050 | + | 0.0331945i | ||||
\(780\) | 21.8629 | + | 25.2312i | 0.00100361 | + | 0.00115823i | ||||
\(781\) | −4377.93 | + | 2256.98i | −0.200582 | + | 0.103407i | ||||
\(782\) | 3619.21 | − | 2325.92i | 0.165502 | − | 0.106362i | ||||
\(783\) | 1187.70 | − | 475.484i | 0.0542082 | − | 0.0217017i | ||||
\(784\) | 32.3062 | − | 678.191i | 0.00147168 | − | 0.0308943i | ||||
\(785\) | 1741.97 | + | 2446.26i | 0.0792022 | + | 0.111224i | ||||
\(786\) | 708.227 | + | 2046.29i | 0.0321395 | + | 0.0928609i | ||||
\(787\) | 18876.9 | − | 3638.22i | 0.855004 | − | 0.164788i | 0.257128 | − | 0.966377i | \(-0.417224\pi\) |
0.597876 | + | 0.801589i | \(0.296012\pi\) | |||||||
\(788\) | 2463.58 | + | 986.267i | 0.111372 | + | 0.0445867i | ||||
\(789\) | −492.994 | + | 1079.51i | −0.0222447 | + | 0.0487090i | ||||
\(790\) | −706.756 | + | 815.640i | −0.0318294 | + | 0.0367331i | ||||
\(791\) | 89.4808 | − | 368.845i | 0.00402221 | − | 0.0165798i | ||||
\(792\) | −5057.67 | − | 4822.48i | −0.226915 | − | 0.216363i | ||||
\(793\) | −336.565 | + | 264.677i | −0.0150716 | + | 0.0118524i | ||||
\(794\) | −312.390 | − | 6557.88i | −0.0139626 | − | 0.293111i | ||||
\(795\) | −276.769 | − | 606.040i | −0.0123472 | − | 0.0270365i | ||||
\(796\) | 6273.44 | + | 1842.05i | 0.279342 | + | 0.0820222i | ||||
\(797\) | 4172.30 | − | 5859.17i | 0.185433 | − | 0.260405i | −0.711386 | − | 0.702801i | \(-0.751932\pi\) |
0.896819 | + | 0.442397i | \(0.145872\pi\) | |||||||
\(798\) | 1573.39 | + | 1237.33i | 0.0697964 | + | 0.0548885i | ||||
\(799\) | −1657.99 | − | 11531.6i | −0.0734112 | − | 0.510586i | ||||
\(800\) | 18167.7 | + | 3501.54i | 0.802908 | + | 0.154748i | ||||
\(801\) | −11961.3 | − | 7687.07i | −0.527631 | − | 0.339088i | ||||
\(802\) | −5363.70 | − | 512.172i | −0.236158 | − | 0.0225504i | ||||
\(803\) | 36936.7 | 1.62325 | ||||||||
\(804\) | −10238.8 | + | 5287.66i | −0.449124 | + | 0.231942i | ||||
\(805\) | 5148.88 | 0.225434 | ||||||||
\(806\) | 40.6910 | + | 3.88552i | 0.00177826 | + | 0.000169804i | ||||
\(807\) | 1502.56 | + | 965.639i | 0.0655424 | + | 0.0421216i | ||||
\(808\) | −3430.47 | − | 661.169i | −0.149361 | − | 0.0287869i | ||||
\(809\) | −4333.41 | − | 30139.5i | −0.188324 | − | 1.30982i | −0.836346 | − | 0.548203i | \(-0.815312\pi\) |
0.648021 | − | 0.761622i | \(-0.275597\pi\) | |||||||
\(810\) | −200.232 | − | 157.464i | −0.00868570 | − | 0.00683051i | ||||
\(811\) | −13848.2 | + | 19447.1i | −0.599603 | + | 0.842024i | −0.997141 | − | 0.0755614i | \(-0.975925\pi\) |
0.397539 | + | 0.917585i | \(0.369865\pi\) | |||||||
\(812\) | 6037.86 | + | 1772.88i | 0.260945 | + | 0.0766204i | ||||
\(813\) | −4530.32 | − | 9920.01i | −0.195431 | − | 0.427933i | ||||
\(814\) | 234.926 | + | 4931.70i | 0.0101157 | + | 0.212354i | ||||
\(815\) | −10013.9 | + | 7875.03i | −0.430395 | + | 0.338466i | ||||
\(816\) | 4463.48 | + | 4255.92i | 0.191487 | + | 0.182582i | ||||
\(817\) | 3413.05 | − | 14068.8i | 0.146153 | − | 0.602453i | ||||
\(818\) | −9741.32 | + | 11242.1i | −0.416378 | + | 0.480526i | ||||
\(819\) | −35.7420 | + | 78.2641i | −0.00152494 | + | 0.00333915i | ||||
\(820\) | 1488.69 | + | 595.982i | 0.0633992 | + | 0.0253812i | ||||
\(821\) | −33972.7 | + | 6547.71i | −1.44416 | + | 0.278339i | −0.850330 | − | 0.526250i | \(-0.823598\pi\) |
−0.593832 | + | 0.804589i | \(0.702385\pi\) | |||||||
\(822\) | −945.805 | − | 2732.73i | −0.0401323 | − | 0.115955i | ||||
\(823\) | −16658.4 | − | 23393.5i | −0.705560 | − | 0.990821i | −0.999389 | − | 0.0349628i | \(-0.988869\pi\) |
0.293828 | − | 0.955858i | \(-0.405071\pi\) | |||||||
\(824\) | 697.784 | − | 14648.3i | 0.0295006 | − | 0.619293i | ||||
\(825\) | 16619.4 | − | 6653.42i | 0.701351 | − | 0.280779i | ||||
\(826\) | −10639.4 | + | 6837.50i | −0.448173 | + | 0.288023i | ||||
\(827\) | 39969.6 | − | 20605.8i | 1.68063 | − | 0.866423i | 0.690985 | − | 0.722869i | \(-0.257177\pi\) |
0.989642 | − | 0.143554i | \(-0.0458531\pi\) | |||||||
\(828\) | −3557.14 | − | 4105.16i | −0.149298 | − | 0.172300i | ||||
\(829\) | 18262.0 | − | 5362.20i | 0.765097 | − | 0.224653i | 0.124176 | − | 0.992260i | \(-0.460371\pi\) |
0.640920 | + | 0.767608i | \(0.278553\pi\) | |||||||
\(830\) | 1414.48 | − | 4086.86i | 0.0591532 | − | 0.170912i | ||||
\(831\) | −2388.75 | + | 16614.1i | −0.0997171 | + | 0.693548i | ||||
\(832\) | 61.4003 | − | 58.5450i | 0.00255850 | − | 0.00243952i | ||||
\(833\) | −413.332 | − | 715.911i | −0.0171922 | − | 0.0297777i | ||||
\(834\) | 565.699 | − | 979.819i | 0.0234875 | − | 0.0406815i | ||||
\(835\) | −791.235 | − | 3261.51i | −0.0327926 | − | 0.135173i | ||||
\(836\) | −11383.9 | − | 5868.80i | −0.470957 | − | 0.242795i | ||||
\(837\) | 2183.58 | − | 208.507i | 0.0901741 | − | 0.00861058i | ||||
\(838\) | −2708.68 | + | 258.648i | −0.111659 | + | 0.0106621i | ||||
\(839\) | 39797.0 | + | 20516.8i | 1.63760 | + | 0.844240i | 0.997086 | + | 0.0762918i | \(0.0243081\pi\) |
0.640512 | + | 0.767948i | \(0.278722\pi\) | |||||||
\(840\) | −632.790 | − | 2608.39i | −0.0259920 | − | 0.107141i | ||||
\(841\) | 11071.9 | − | 19177.1i | 0.453972 | − | 0.786302i | ||||
\(842\) | 7687.08 | + | 13314.4i | 0.314625 | + | 0.544947i | ||||
\(843\) | −9764.18 | + | 9310.12i | −0.398928 | + | 0.380377i | ||||
\(844\) | −1310.15 | + | 9112.26i | −0.0534325 | + | 0.371631i | ||||
\(845\) | −2264.18 | + | 6541.93i | −0.0921778 | + | 0.266330i | ||||
\(846\) | 2006.73 | − | 589.230i | 0.0815519 | − | 0.0239458i | ||||
\(847\) | −16865.3 | − | 19463.6i | −0.684179 | − | 0.789584i | ||||
\(848\) | −2573.87 | + | 1326.92i | −0.104230 | + | 0.0537343i | ||||
\(849\) | −19468.3 | + | 12511.5i | −0.786987 | + | 0.505766i | ||||
\(850\) | 5333.47 | − | 2135.20i | 0.215220 | − | 0.0861609i | ||||
\(851\) | −391.172 | + | 8211.72i | −0.0157570 | + | 0.330780i | ||||
\(852\) | 1157.65 | + | 1625.69i | 0.0465497 | + | 0.0653700i | ||||
\(853\) | 10528.5 | + | 30420.2i | 0.422615 | + | 1.22107i | 0.932609 | + | 0.360888i | \(0.117526\pi\) |
−0.509994 | + | 0.860178i | \(0.670352\pi\) | |||||||
\(854\) | 15778.7 | − | 3041.10i | 0.632244 | − | 0.121855i | ||||
\(855\) | −928.443 | − | 371.692i | −0.0371369 | − | 0.0148674i | ||||
\(856\) | 8352.11 | − | 18288.6i | 0.333492 | − | 0.730246i | ||||
\(857\) | 5500.64 | − | 6348.08i | 0.219251 | − | 0.253029i | −0.635459 | − | 0.772134i | \(-0.719189\pi\) |
0.854710 | + | 0.519105i | \(0.173735\pi\) | |||||||
\(858\) | −18.4543 | + | 76.0698i | −0.000734289 | + | 0.00302678i | ||||
\(859\) | −23325.1 | − | 22240.4i | −0.926475 | − | 0.883392i | 0.0669639 | − | 0.997755i | \(-0.478669\pi\) |
−0.993439 | + | 0.114363i | \(0.963517\pi\) | |||||||
\(860\) | −7123.20 | + | 5601.74i | −0.282441 | + | 0.222114i | ||||
\(861\) | 196.636 | + | 4127.90i | 0.00778321 | + | 0.163390i | ||||
\(862\) | 4609.23 | + | 10092.8i | 0.182124 | + | 0.398796i | ||||
\(863\) | 23657.5 | + | 6946.46i | 0.933152 | + | 0.273998i | 0.712756 | − | 0.701412i | \(-0.247447\pi\) |
0.220396 | + | 0.975410i | \(0.429265\pi\) | |||||||
\(864\) | −2518.23 | + | 3536.37i | −0.0991575 | + | 0.139247i | ||||
\(865\) | −1003.40 | − | 789.081i | −0.0394411 | − | 0.0310168i | ||||
\(866\) | 225.949 | + | 1571.51i | 0.00886610 | + | 0.0616651i | ||||
\(867\) | −7099.39 | − | 1368.30i | −0.278095 | − | 0.0535983i | ||||
\(868\) | 9076.57 | + | 5833.16i | 0.354930 | + | 0.228099i | ||||
\(869\) | 17716.2 | + | 1691.69i | 0.691577 | + | 0.0660376i | ||||
\(870\) | 447.034 | 0.0174205 | ||||||||
\(871\) | 232.717 | + | 149.325i | 0.00905316 | + | 0.00580905i | ||||
\(872\) | 12508.0 | 0.485751 | ||||||||
\(873\) | −4672.28 | − | 446.149i | −0.181137 | − | 0.0172965i | ||||
\(874\) | 2550.84 | + | 1639.32i | 0.0987224 | + | 0.0634451i | ||||
\(875\) | 14085.5 | + | 2714.76i | 0.544204 | + | 0.104887i | ||||
\(876\) | −2129.94 | − | 14814.1i | −0.0821507 | − | 0.571371i | ||||
\(877\) | 16783.1 | + | 13198.4i | 0.646209 | + | 0.508185i | 0.886627 | − | 0.462485i | \(-0.153042\pi\) |
−0.240418 | + | 0.970669i | \(0.577284\pi\) | |||||||
\(878\) | 3234.84 | − | 4542.70i | 0.124340 | − | 0.174611i | ||||
\(879\) | −15847.5 | − | 4653.24i | −0.608103 | − | 0.178555i | ||||
\(880\) | 2789.57 | + | 6108.30i | 0.106859 | + | 0.233989i | ||||
\(881\) | 869.229 | + | 18247.4i | 0.0332407 | + | 0.697808i | 0.952570 | + | 0.304319i | \(0.0984290\pi\) |
−0.919329 | + | 0.393489i | \(0.871268\pi\) | |||||||
\(882\) | 116.653 | − | 91.7369i | 0.00445341 | − | 0.00350220i | ||||
\(883\) | −25043.2 | − | 23878.6i | −0.954440 | − | 0.910057i | 0.0415845 | − | 0.999135i | \(-0.486759\pi\) |
−0.996025 | + | 0.0890782i | \(0.971608\pi\) | |||||||
\(884\) | 41.6526 | − | 171.694i | 0.00158476 | − | 0.00653247i | ||||
\(885\) | 4137.96 | − | 4775.47i | 0.157171 | − | 0.181385i | ||||
\(886\) | 6102.65 | − | 13362.9i | 0.231402 | − | 0.506700i | ||||
\(887\) | 41775.3 | + | 16724.3i | 1.58137 | + | 0.633086i | 0.985451 | − | 0.169957i | \(-0.0543629\pi\) |
0.595921 | + | 0.803043i | \(0.296787\pi\) | |||||||
\(888\) | 4208.09 | − | 811.042i | 0.159025 | − | 0.0306495i | ||||
\(889\) | −4276.79 | − | 12357.0i | −0.161349 | − | 0.466186i | ||||
\(890\) | −2881.88 | − | 4047.03i | −0.108540 | − | 0.152423i | ||||
\(891\) | −199.868 | + | 4195.74i | −0.00751496 | + | 0.157758i | ||||
\(892\) | 25610.2 | − | 10252.8i | 0.961315 | − | 0.384852i | ||||
\(893\) | 6907.63 | − | 4439.26i | 0.258852 | − | 0.166354i | ||||
\(894\) | 1567.04 | − | 807.865i | 0.0586238 | − | 0.0302226i | ||||
\(895\) | 7136.09 | + | 8235.48i | 0.266517 | + | 0.307577i | ||||
\(896\) | −26457.2 | + | 7768.53i | −0.986465 | + | 0.289652i | ||||
\(897\) | −42.6290 | + | 123.168i | −0.00158678 | + | 0.00458470i | ||||
\(898\) | −2055.97 | + | 14299.6i | −0.0764015 | + | 0.531384i | ||||
\(899\) | −2785.99 | + | 2656.44i | −0.103357 | + | 0.0985508i | ||||
\(900\) | −3626.81 | − | 6281.83i | −0.134326 | − | 0.232660i | ||||
\(901\) | −1762.87 | + | 3053.37i | −0.0651827 | + | 0.112900i | ||||
\(902\) | 886.386 | + | 3653.73i | 0.0327200 | + | 0.134874i | ||||
\(903\) | −20757.8 | − | 10701.4i | −0.764980 | − | 0.394374i | ||||
\(904\) | −298.360 | + | 28.4899i | −0.0109771 | + | 0.00104819i | ||||
\(905\) | 6285.43 | − | 600.186i | 0.230867 | − | 0.0220451i | ||||
\(906\) | 7234.85 | + | 3729.82i | 0.265300 | + | 0.136772i | ||||
\(907\) | 242.157 | + | 998.183i | 0.00886514 | + | 0.0365426i | 0.976072 | − | 0.217446i | \(-0.0697726\pi\) |
−0.967207 | + | 0.253989i | \(0.918257\pi\) | |||||||
\(908\) | −11566.5 | + | 20033.7i | −0.422739 | + | 0.732206i | ||||
\(909\) | 1049.96 | + | 1818.59i | 0.0383114 | + | 0.0663572i | ||||
\(910\) | −21.7585 | + | 20.7467i | −0.000792623 | + | 0.000755764i | ||||
\(911\) | −5865.85 | + | 40797.9i | −0.213331 | + | 1.48375i | 0.548597 | + | 0.836087i | \(0.315162\pi\) |
−0.761928 | + | 0.647662i | \(0.775747\pi\) | |||||||
\(912\) | −1421.68 | + | 4107.68i | −0.0516191 | + | 0.149144i | ||||
\(913\) | −68425.8 | + | 20091.6i | −2.48036 | + | 0.728298i | ||||
\(914\) | 3081.11 | + | 3555.79i | 0.111503 | + | 0.128682i | ||||
\(915\) | −7136.13 | + | 3678.93i | −0.257828 | + | 0.132920i | ||||
\(916\) | −319.487 | + | 205.322i | −0.0115242 | + | 0.00740613i | ||||
\(917\) | 12731.9 | − | 5097.10i | 0.458502 | − | 0.183556i | ||||
\(918\) | −64.1411 | + | 1346.49i | −0.00230607 | + | 0.0484104i | ||||
\(919\) | −19605.2 | − | 27531.6i | −0.703716 | − | 0.988231i | −0.999457 | − | 0.0329628i | \(-0.989506\pi\) |
0.295740 | − | 0.955268i | \(-0.404434\pi\) | |||||||
\(920\) | −1329.84 | − | 3842.32i | −0.0476560 | − | 0.137693i | ||||
\(921\) | −5355.70 | + | 1032.23i | −0.191614 | + | 0.0369305i | ||||
\(922\) | −16671.2 | − | 6674.14i | −0.595484 | − | 0.238396i | ||||
\(923\) | 19.8931 | − | 43.5599i | 0.000709416 | − | 0.00155340i | ||||
\(924\) | −13530.2 | + | 15614.7i | −0.481722 | + | 0.555936i | ||||
\(925\) | −2588.20 | + | 10668.7i | −0.0919994 | + | 0.379227i | ||||
\(926\) | 9697.48 | + | 9246.53i | 0.344146 | + | 0.328142i | ||||
\(927\) | −6928.85 | + | 5448.91i | −0.245494 | + | 0.193059i | ||||
\(928\) | −362.516 | − | 7610.15i | −0.0128235 | − | 0.269198i | ||||
\(929\) | 11736.7 | + | 25699.8i | 0.414498 | + | 0.907624i | 0.995592 | + | 0.0937875i | \(0.0298974\pi\) |
−0.581094 | + | 0.813836i | \(0.697375\pi\) | |||||||
\(930\) | 735.421 | + | 215.939i | 0.0259305 | + | 0.00761389i | ||||
\(931\) | 337.963 | − | 474.602i | 0.0118972 | − | 0.0167073i | ||||
\(932\) | 2135.29 | + | 1679.21i | 0.0750468 | + | 0.0590175i | ||||
\(933\) | −2950.62 | − | 20522.0i | −0.103536 | − | 0.720107i | ||||
\(934\) | −1052.21 | − | 202.797i | −0.0368622 | − | 0.00710461i | ||||
\(935\) | 6878.06 | + | 4420.26i | 0.240574 | + | 0.154607i | ||||
\(936\) | 67.6355 | + | 6.45841i | 0.00236190 | + | 0.000225534i | ||||
\(937\) | 16698.6 | 0.582197 | 0.291099 | − | 0.956693i | \(-0.405979\pi\) | ||||
0.291099 | + | 0.956693i | \(0.405979\pi\) | |||||||
\(938\) | −5194.94 | − | 8983.19i | −0.180832 | − | 0.312699i | ||||
\(939\) | −23974.4 | −0.833200 | ||||||||
\(940\) | −5116.58 | − | 488.574i | −0.177537 | − | 0.0169527i | ||||
\(941\) | −6475.69 | − | 4161.68i | −0.224337 | − | 0.144173i | 0.423645 | − | 0.905828i | \(-0.360751\pi\) |
−0.647982 | + | 0.761655i | \(0.724387\pi\) | |||||||
\(942\) | 2801.44 | + | 539.933i | 0.0968957 | + | 0.0186751i | ||||
\(943\) | 890.927 | + | 6196.53i | 0.0307663 | + | 0.213984i | ||||
\(944\) | −21588.4 | − | 16977.3i | −0.744323 | − | 0.585342i | ||||
\(945\) | −935.818 | + | 1314.17i | −0.0322139 | + | 0.0452381i | ||||
\(946\) | −20386.2 | − | 5985.92i | −0.700646 | − | 0.205728i | ||||
\(947\) | −15034.6 | − | 32921.1i | −0.515901 | − | 1.12967i | −0.970968 | − | 0.239208i | \(-0.923112\pi\) |
0.455067 | − | 0.890457i | \(-0.349615\pi\) | |||||||
\(948\) | −343.117 | − | 7202.91i | −0.0117552 | − | 0.246772i | ||||
\(949\) | −282.283 | + | 221.990i | −0.00965573 | + | 0.00759335i | ||||
\(950\) | 2930.48 | + | 2794.21i | 0.100081 | + | 0.0954274i | ||||
\(951\) | 3304.23 | − | 13620.2i | 0.112668 | − | 0.464423i | ||||
\(952\) | −9301.53 | + | 10734.5i | −0.316664 | + | 0.365450i | ||||
\(953\) | −8608.60 | + | 18850.2i | −0.292613 | + | 0.640732i | −0.997656 | − | 0.0684321i | \(-0.978200\pi\) |
0.705043 | + | 0.709164i | \(0.250928\pi\) | |||||||
\(954\) | −587.604 | − | 235.241i | −0.0199417 | − | 0.00798346i | ||||
\(955\) | −5798.98 | + | 1117.66i | −0.196493 | + | 0.0378708i | ||||
\(956\) | −12594.9 | − | 36390.6i | −0.426096 | − | 1.23112i | ||||
\(957\) | −4275.94 | − | 6004.72i | −0.144432 | − | 0.202827i | ||||
\(958\) | −597.481 | + | 12542.7i | −0.0201500 | + | 0.423001i | ||||
\(959\) | −17002.9 | + | 6806.95i | −0.572527 | + | 0.229205i | ||||
\(960\) | 1338.27 | − | 860.051i | 0.0449920 | − | 0.0289146i | ||||
\(961\) | 20612.8 | − | 10626.7i | 0.691915 | − | 0.356707i | ||||
\(962\) | −31.4349 | − | 36.2778i | −0.00105354 | − | 0.00121585i | ||||
\(963\) | −11595.4 | + | 3404.72i | −0.388013 | + | 0.113931i | ||||
\(964\) | 1674.85 | − | 4839.15i | 0.0559576 | − | 0.161679i | ||||
\(965\) | 525.048 | − | 3651.79i | 0.0175149 | − | 0.121819i | ||||
\(966\) | 3540.15 | − | 3375.52i | 0.117911 | − | 0.112428i | ||||
\(967\) | 1520.31 | + | 2633.25i | 0.0505582 | + | 0.0875694i | 0.890197 | − | 0.455576i | \(-0.150567\pi\) |
−0.839639 | + | 0.543145i | \(0.817233\pi\) | |||||||
\(968\) | −10168.7 | + | 17612.7i | −0.337638 | + | 0.584807i | ||||
\(969\) | 1247.72 | + | 5143.17i | 0.0413649 | + | 0.170508i | ||||
\(970\) | −1457.72 | − | 751.508i | −0.0482522 | − | 0.0248757i | ||||
\(971\) | −46566.3 | + | 4446.54i | −1.53901 | + | 0.146958i | −0.829810 | − | 0.558045i | \(-0.811552\pi\) |
−0.709204 | + | 0.705003i | \(0.750945\pi\) | |||||||
\(972\) | 1694.30 | − | 161.786i | 0.0559101 | − | 0.00533876i | ||||
\(973\) | −6369.08 | − | 3283.49i | −0.209849 | − | 0.108185i | ||||
\(974\) | −4068.80 | − | 16771.8i | −0.133853 | − | 0.551750i | ||||
\(975\) | −87.0243 | + | 150.731i | −0.00285847 | + | 0.00495102i | ||||
\(976\) | 17447.8 | + | 30220.5i | 0.572224 | + | 0.991121i | ||||
\(977\) | 29441.3 | − | 28072.2i | 0.964084 | − | 0.919252i | −0.0326935 | − | 0.999465i | \(-0.510409\pi\) |
0.996778 | + | 0.0802130i | \(0.0255600\pi\) | |||||||
\(978\) | −1722.39 | + | 11979.5i | −0.0563149 | + | 0.391679i | ||||
\(979\) | −26795.6 | + | 77420.9i | −0.874762 | + | 2.52746i | ||||
\(980\) | −349.936 | + | 102.751i | −0.0114064 | + | 0.00334923i | ||||
\(981\) | −4923.43 | − | 5681.94i | −0.160237 | − | 0.184924i | ||||
\(982\) | 7347.28 | − | 3787.79i | 0.238759 | − | 0.123089i | ||||
\(983\) | −10272.6 | + | 6601.78i | −0.333310 | + | 0.214206i | −0.696581 | − | 0.717478i | \(-0.745296\pi\) |
0.363271 | + | 0.931684i | \(0.381660\pi\) | |||||||
\(984\) | 3029.64 | − | 1212.88i | 0.0981518 | − | 0.0392940i | ||||
\(985\) | 56.8103 | − | 1192.60i | 0.00183769 | − | 0.0385779i | ||||
\(986\) | −1372.22 | − | 1927.02i | −0.0443210 | − | 0.0622402i | ||||
\(987\) | −4332.38 | − | 12517.6i | −0.139717 | − | 0.403687i | ||||
\(988\) | 122.271 | − | 23.5658i | 0.00393720 | − | 0.000758834i | ||||
\(989\) | −32843.6 | − | 13148.6i | −1.05598 | − | 0.422751i | ||||
\(990\) | −609.728 | + | 1335.12i | −0.0195742 | + | 0.0428615i | ||||
\(991\) | 10399.1 | − | 12001.2i | 0.333338 | − | 0.384692i | −0.564194 | − | 0.825642i | \(-0.690813\pi\) |
0.897532 | + | 0.440950i | \(0.145358\pi\) | |||||||
\(992\) | 3079.69 | − | 12694.7i | 0.0985688 | − | 0.406306i | ||||
\(993\) | −14202.4 | − | 13541.9i | −0.453875 | − | 0.432769i | ||||
\(994\) | −1412.69 | + | 1110.96i | −0.0450784 | + | 0.0354501i | ||||
\(995\) | −139.973 | − | 2938.40i | −0.00445976 | − | 0.0936218i | ||||
\(996\) | 12003.8 | + | 26284.7i | 0.381883 | + | 0.836208i | ||||
\(997\) | 56281.8 | + | 16525.8i | 1.78782 | + | 0.524953i | 0.996281 | − | 0.0861604i | \(-0.0274598\pi\) |
0.791543 | + | 0.611113i | \(0.209278\pi\) | |||||||
\(998\) | −9894.11 | + | 13894.3i | −0.313820 | + | 0.440699i | ||||
\(999\) | −2024.82 | − | 1592.34i | −0.0641266 | − | 0.0504297i |
(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.m.a.4.10 | ✓ | 320 | |
67.17 | even | 33 | inner | 201.4.m.a.151.10 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.m.a.4.10 | ✓ | 320 | 1.1 | even | 1 | trivial | |
201.4.m.a.151.10 | yes | 320 | 67.17 | even | 33 | inner |