Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(2,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.x (of order \(12\), degree \(4\), 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: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.16 | ||
Character | \(\chi\) | \(=\) | 105.2 |
Dual form | 105.4.x.a.53.16 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.557385 | − | 2.08019i | −0.197065 | − | 0.735458i | −0.991723 | − | 0.128400i | \(-0.959016\pi\) |
0.794657 | − | 0.607059i | \(-0.207651\pi\) | |||||||
\(3\) | 4.92343 | + | 1.66126i | 0.947515 | + | 0.319710i | ||||
\(4\) | 2.91169 | − | 1.68107i | 0.363961 | − | 0.210133i | ||||
\(5\) | −2.90737 | − | 10.7957i | −0.260043 | − | 0.965597i | ||||
\(6\) | 0.711494 | − | 11.1676i | 0.0484110 | − | 0.759862i | ||||
\(7\) | −17.2324 | − | 6.78566i | −0.930461 | − | 0.366391i | ||||
\(8\) | −17.3023 | − | 17.3023i | −0.764661 | − | 0.764661i | ||||
\(9\) | 21.4804 | + | 16.3582i | 0.795571 | + | 0.605861i | ||||
\(10\) | −20.8366 | + | 12.0652i | −0.658911 | + | 0.381536i | ||||
\(11\) | 7.23712 | − | 4.17835i | 0.198370 | − | 0.114529i | −0.397525 | − | 0.917591i | \(-0.630131\pi\) |
0.595895 | + | 0.803062i | \(0.296797\pi\) | |||||||
\(12\) | 17.1282 | − | 3.43953i | 0.412041 | − | 0.0827423i | ||||
\(13\) | 28.7390 | − | 28.7390i | 0.613137 | − | 0.613137i | −0.330625 | − | 0.943762i | \(-0.607260\pi\) |
0.943762 | + | 0.330625i | \(0.107260\pi\) | |||||||
\(14\) | −4.51038 | + | 39.6288i | −0.0861035 | + | 0.756518i | ||||
\(15\) | 3.62027 | − | 57.9818i | 0.0623167 | − | 0.998056i | ||||
\(16\) | −12.8995 | + | 22.3426i | −0.201555 | + | 0.349103i | ||||
\(17\) | 37.7114 | + | 10.1047i | 0.538021 | + | 0.144162i | 0.517589 | − | 0.855629i | \(-0.326829\pi\) |
0.0204311 | + | 0.999791i | \(0.493496\pi\) | |||||||
\(18\) | 22.0554 | − | 53.8012i | 0.288806 | − | 0.704503i | ||||
\(19\) | 2.75001 | + | 1.58772i | 0.0332051 | + | 0.0191710i | 0.516511 | − | 0.856281i | \(-0.327231\pi\) |
−0.483306 | + | 0.875452i | \(0.660564\pi\) | |||||||
\(20\) | −26.6136 | − | 26.5463i | −0.297550 | − | 0.296796i | ||||
\(21\) | −73.5697 | − | 62.0362i | −0.764487 | − | 0.644639i | ||||
\(22\) | −12.7256 | − | 12.7256i | −0.123323 | − | 0.123323i | ||||
\(23\) | −71.7083 | + | 19.2142i | −0.650096 | + | 0.174193i | −0.568772 | − | 0.822495i | \(-0.692581\pi\) |
−0.0813239 | + | 0.996688i | \(0.525915\pi\) | |||||||
\(24\) | −56.4431 | − | 113.930i | −0.480058 | − | 0.968998i | ||||
\(25\) | −108.094 | + | 62.7742i | −0.864755 | + | 0.502193i | ||||
\(26\) | −75.8014 | − | 43.7640i | −0.571765 | − | 0.330108i | ||||
\(27\) | 78.5820 | + | 116.223i | 0.560116 | + | 0.828414i | ||||
\(28\) | −61.5825 | + | 9.21103i | −0.415643 | + | 0.0621686i | ||||
\(29\) | 290.651 | 1.86112 | 0.930562 | − | 0.366134i | \(-0.119319\pi\) | ||||
0.930562 | + | 0.366134i | \(0.119319\pi\) | |||||||
\(30\) | −122.631 | + | 24.7874i | −0.746309 | + | 0.150851i | ||||
\(31\) | −52.4273 | − | 90.8068i | −0.303749 | − | 0.526109i | 0.673233 | − | 0.739431i | \(-0.264905\pi\) |
−0.976982 | + | 0.213321i | \(0.931572\pi\) | |||||||
\(32\) | −135.416 | − | 36.2847i | −0.748076 | − | 0.200446i | ||||
\(33\) | 42.5728 | − | 8.54908i | 0.224575 | − | 0.0450971i | ||||
\(34\) | − | 84.0790i | − | 0.424101i | ||||||
\(35\) | −23.1551 | + | 205.764i | −0.111826 | + | 0.993728i | ||||
\(36\) | 90.0436 | + | 11.5202i | 0.416868 | + | 0.0533341i | ||||
\(37\) | 145.773 | − | 39.0598i | 0.647702 | − | 0.173551i | 0.0800125 | − | 0.996794i | \(-0.474504\pi\) |
0.567690 | + | 0.823243i | \(0.307837\pi\) | |||||||
\(38\) | 1.76995 | − | 6.60553i | 0.00755587 | − | 0.0281989i | ||||
\(39\) | 189.238 | − | 93.7517i | 0.776983 | − | 0.384930i | ||||
\(40\) | −136.486 | + | 237.095i | −0.539510 | + | 0.937199i | ||||
\(41\) | 432.019i | 1.64561i | 0.568323 | + | 0.822806i | \(0.307593\pi\) | ||||
−0.568323 | + | 0.822806i | \(0.692407\pi\) | |||||||
\(42\) | −88.0405 | + | 187.617i | −0.323451 | + | 0.689284i | ||||
\(43\) | 272.633 | − | 272.633i | 0.966885 | − | 0.966885i | −0.0325837 | − | 0.999469i | \(-0.510374\pi\) |
0.999469 | + | 0.0325837i | \(0.0103736\pi\) | |||||||
\(44\) | 14.0482 | − | 24.3321i | 0.0481327 | − | 0.0833683i | ||||
\(45\) | 114.147 | − | 279.456i | 0.378135 | − | 0.925750i | ||||
\(46\) | 79.9383 | + | 138.457i | 0.256223 | + | 0.443791i | ||||
\(47\) | 20.5841 | + | 76.8208i | 0.0638829 | + | 0.238414i | 0.990483 | − | 0.137633i | \(-0.0439496\pi\) |
−0.926600 | + | 0.376048i | \(0.877283\pi\) | |||||||
\(48\) | −100.627 | + | 88.5729i | −0.302588 | + | 0.266342i | ||||
\(49\) | 250.910 | + | 233.866i | 0.731515 | + | 0.681825i | ||||
\(50\) | 190.832 | + | 189.868i | 0.539756 | + | 0.537027i | ||||
\(51\) | 168.883 | + | 112.398i | 0.463693 | + | 0.308607i | ||||
\(52\) | 35.3670 | − | 131.991i | 0.0943177 | − | 0.351999i | ||||
\(53\) | −88.0174 | + | 328.486i | −0.228116 | + | 0.851339i | 0.753017 | + | 0.658001i | \(0.228598\pi\) |
−0.981132 | + | 0.193338i | \(0.938069\pi\) | |||||||
\(54\) | 197.966 | − | 228.247i | 0.498885 | − | 0.575193i | ||||
\(55\) | −66.1492 | − | 65.9818i | −0.162174 | − | 0.161763i | ||||
\(56\) | 180.752 | + | 415.567i | 0.431322 | + | 0.991652i | ||||
\(57\) | 10.9019 | + | 12.3855i | 0.0253332 | + | 0.0287808i | ||||
\(58\) | −162.005 | − | 604.610i | −0.366763 | − | 1.36878i | ||||
\(59\) | 304.151 | + | 526.805i | 0.671137 | + | 1.16244i | 0.977582 | + | 0.210555i | \(0.0675272\pi\) |
−0.306445 | + | 0.951888i | \(0.599140\pi\) | |||||||
\(60\) | −86.9302 | − | 174.911i | −0.187044 | − | 0.376349i | ||||
\(61\) | −308.382 | + | 534.133i | −0.647283 | + | 1.12113i | 0.336486 | + | 0.941688i | \(0.390761\pi\) |
−0.983769 | + | 0.179439i | \(0.942572\pi\) | |||||||
\(62\) | −159.673 | + | 159.673i | −0.327073 | + | 0.327073i | ||||
\(63\) | −259.157 | − | 427.650i | −0.518266 | − | 0.855220i | ||||
\(64\) | 508.308i | 0.992790i | ||||||||
\(65\) | −393.813 | − | 226.703i | −0.751485 | − | 0.432601i | ||||
\(66\) | −41.5132 | − | 83.7944i | −0.0774230 | − | 0.156278i | ||||
\(67\) | 18.6971 | − | 69.7784i | 0.0340927 | − | 0.127236i | −0.946782 | − | 0.321875i | \(-0.895687\pi\) |
0.980875 | + | 0.194639i | \(0.0623536\pi\) | |||||||
\(68\) | 126.791 | − | 33.9734i | 0.226112 | − | 0.0605865i | ||||
\(69\) | −384.971 | − | 24.5266i | −0.671667 | − | 0.0427921i | ||||
\(70\) | 440.935 | − | 66.5229i | 0.752882 | − | 0.113586i | ||||
\(71\) | − | 909.210i | − | 1.51977i | −0.650060 | − | 0.759883i | \(-0.725256\pi\) | ||
0.650060 | − | 0.759883i | \(-0.274744\pi\) | |||||||
\(72\) | −88.6253 | − | 654.696i | −0.145064 | − | 1.07162i | ||||
\(73\) | −851.783 | − | 228.234i | −1.36567 | − | 0.365929i | −0.499772 | − | 0.866157i | \(-0.666583\pi\) |
−0.865894 | + | 0.500228i | \(0.833250\pi\) | |||||||
\(74\) | −162.504 | − | 281.465i | −0.255279 | − | 0.442157i | ||||
\(75\) | −636.480 | + | 129.491i | −0.979925 | + | 0.199365i | ||||
\(76\) | 10.6763 | 0.0161138 | ||||||||
\(77\) | −153.066 | + | 22.8944i | −0.226538 | + | 0.0338838i | ||||
\(78\) | −300.500 | − | 341.395i | −0.436217 | − | 0.495582i | ||||
\(79\) | 606.134 | + | 349.952i | 0.863233 | + | 0.498388i | 0.865094 | − | 0.501610i | \(-0.167259\pi\) |
−0.00186035 | + | 0.999998i | \(0.500592\pi\) | |||||||
\(80\) | 278.708 | + | 74.3011i | 0.389506 | + | 0.103839i | ||||
\(81\) | 193.816 | + | 702.763i | 0.265865 | + | 0.964010i | ||||
\(82\) | 898.682 | − | 240.801i | 1.21028 | − | 0.324293i | ||||
\(83\) | −4.61422 | − | 4.61422i | −0.00610212 | − | 0.00610212i | 0.704049 | − | 0.710151i | \(-0.251373\pi\) |
−0.710151 | + | 0.704049i | \(0.751373\pi\) | |||||||
\(84\) | −318.499 | − | 56.9549i | −0.413704 | − | 0.0739796i | ||||
\(85\) | −0.553128 | − | 436.499i | −0.000705825 | − | 0.556999i | ||||
\(86\) | −719.089 | − | 415.166i | −0.901643 | − | 0.520564i | ||||
\(87\) | 1431.00 | + | 482.848i | 1.76344 | + | 0.595021i | ||||
\(88\) | −197.514 | − | 52.9237i | −0.239262 | − | 0.0641101i | ||||
\(89\) | −118.766 | + | 205.709i | −0.141451 | + | 0.245001i | −0.928043 | − | 0.372472i | \(-0.878510\pi\) |
0.786592 | + | 0.617473i | \(0.211844\pi\) | |||||||
\(90\) | −644.945 | − | 81.6836i | −0.755368 | − | 0.0956690i | ||||
\(91\) | −690.255 | + | 300.229i | −0.795148 | + | 0.345852i | ||||
\(92\) | −176.492 | + | 176.492i | −0.200006 | + | 0.200006i | ||||
\(93\) | −107.269 | − | 534.177i | −0.119605 | − | 0.595608i | ||||
\(94\) | 148.329 | − | 85.6376i | 0.162755 | − | 0.0939664i | ||||
\(95\) | 9.14527 | − | 34.3044i | 0.00987668 | − | 0.0370480i | ||||
\(96\) | −606.435 | − | 403.607i | −0.644729 | − | 0.429094i | ||||
\(97\) | 151.908 | + | 151.908i | 0.159010 | + | 0.159010i | 0.782128 | − | 0.623118i | \(-0.214134\pi\) |
−0.623118 | + | 0.782128i | \(0.714134\pi\) | |||||||
\(98\) | 346.632 | − | 652.293i | 0.357297 | − | 0.672363i | ||||
\(99\) | 223.807 | + | 28.6338i | 0.227206 | + | 0.0290687i | ||||
\(100\) | −209.210 | + | 364.493i | −0.209210 | + | 0.364493i | ||||
\(101\) | 1231.73 | − | 711.141i | 1.21348 | − | 0.700605i | 0.249968 | − | 0.968254i | \(-0.419580\pi\) |
0.963517 | + | 0.267649i | \(0.0862467\pi\) | |||||||
\(102\) | 139.677 | − | 413.958i | 0.135589 | − | 0.401842i | ||||
\(103\) | −35.1239 | − | 131.084i | −0.0336006 | − | 0.125399i | 0.947088 | − | 0.320973i | \(-0.104010\pi\) |
−0.980689 | + | 0.195574i | \(0.937343\pi\) | |||||||
\(104\) | −994.504 | −0.937684 | ||||||||
\(105\) | −455.831 | + | 974.599i | −0.423662 | + | 0.905820i | ||||
\(106\) | 732.372 | 0.671078 | ||||||||
\(107\) | −444.729 | − | 1659.75i | −0.401810 | − | 1.49957i | −0.809865 | − | 0.586616i | \(-0.800460\pi\) |
0.408055 | − | 0.912957i | \(-0.366207\pi\) | |||||||
\(108\) | 424.186 | + | 206.305i | 0.377938 | + | 0.183812i | ||||
\(109\) | −72.8723 | + | 42.0728i | −0.0640358 | + | 0.0369711i | −0.531676 | − | 0.846948i | \(-0.678438\pi\) |
0.467640 | + | 0.883919i | \(0.345104\pi\) | |||||||
\(110\) | −100.384 | + | 174.380i | −0.0870113 | + | 0.151150i | ||||
\(111\) | 782.594 | + | 49.8593i | 0.669194 | + | 0.0426345i | ||||
\(112\) | 373.898 | − | 297.485i | 0.315447 | − | 0.250979i | ||||
\(113\) | −201.000 | − | 201.000i | −0.167332 | − | 0.167332i | 0.618474 | − | 0.785806i | \(-0.287751\pi\) |
−0.785806 | + | 0.618474i | \(0.787751\pi\) | |||||||
\(114\) | 19.6877 | − | 29.5815i | 0.0161748 | − | 0.0243032i | ||||
\(115\) | 415.913 | + | 718.279i | 0.337253 | + | 0.582433i | ||||
\(116\) | 846.287 | − | 488.604i | 0.677377 | − | 0.391084i | ||||
\(117\) | 1087.45 | − | 147.206i | 0.859269 | − | 0.116318i | ||||
\(118\) | 926.325 | − | 926.325i | 0.722671 | − | 0.722671i | ||||
\(119\) | −581.289 | − | 430.025i | −0.447787 | − | 0.331263i | ||||
\(120\) | −1065.86 | + | 940.581i | −0.810826 | + | 0.715524i | ||||
\(121\) | −630.583 | + | 1092.20i | −0.473766 | + | 0.820587i | ||||
\(122\) | 1282.99 | + | 343.775i | 0.952099 | + | 0.255114i | ||||
\(123\) | −717.698 | + | 2127.02i | −0.526119 | + | 1.55924i | ||||
\(124\) | −305.304 | − | 176.268i | −0.221106 | − | 0.127656i | ||||
\(125\) | 991.961 | + | 984.448i | 0.709790 | + | 0.704414i | ||||
\(126\) | −745.143 | + | 777.462i | −0.526846 | + | 0.549697i | ||||
\(127\) | −1203.50 | − | 1203.50i | −0.840895 | − | 0.840895i | 0.148080 | − | 0.988975i | \(-0.452691\pi\) |
−0.988975 | + | 0.148080i | \(0.952691\pi\) | |||||||
\(128\) | −25.9524 | + | 6.95392i | −0.0179210 | + | 0.00480192i | ||||
\(129\) | 1795.20 | − | 889.374i | 1.22526 | − | 0.607015i | ||||
\(130\) | −252.080 | + | 945.567i | −0.170068 | + | 0.637936i | ||||
\(131\) | −271.256 | − | 156.609i | −0.180914 | − | 0.104451i | 0.406808 | − | 0.913514i | \(-0.366642\pi\) |
−0.587722 | + | 0.809063i | \(0.699975\pi\) | |||||||
\(132\) | 109.587 | − | 96.4600i | 0.0722602 | − | 0.0636043i | ||||
\(133\) | −36.6156 | − | 46.0209i | −0.0238720 | − | 0.0300039i | ||||
\(134\) | −155.574 | −0.100295 | ||||||||
\(135\) | 1026.25 | − | 1186.25i | 0.654261 | − | 0.756269i | ||||
\(136\) | −477.658 | − | 827.329i | −0.301168 | − | 0.521639i | ||||
\(137\) | −2036.86 | − | 545.775i | −1.27022 | − | 0.340355i | −0.440107 | − | 0.897945i | \(-0.645059\pi\) |
−0.830116 | + | 0.557590i | \(0.811726\pi\) | |||||||
\(138\) | 163.557 | + | 814.483i | 0.100891 | + | 0.502416i | ||||
\(139\) | 1624.68i | 0.991392i | 0.868496 | + | 0.495696i | \(0.165087\pi\) | ||||
−0.868496 | + | 0.495696i | \(0.834913\pi\) | |||||||
\(140\) | 278.482 | + | 638.047i | 0.168115 | + | 0.385177i | ||||
\(141\) | −26.2753 | + | 412.418i | −0.0156934 | + | 0.246325i | ||||
\(142\) | −1891.33 | + | 506.780i | −1.11772 | + | 0.299493i | ||||
\(143\) | 87.9060 | − | 328.070i | 0.0514061 | − | 0.191850i | ||||
\(144\) | −642.573 | + | 268.915i | −0.371859 | + | 0.155622i | ||||
\(145\) | −845.030 | − | 3137.79i | −0.483972 | − | 1.79710i | ||||
\(146\) | 1899.08i | 1.07650i | ||||||||
\(147\) | 846.825 | + | 1568.25i | 0.475136 | + | 0.879913i | ||||
\(148\) | 358.785 | − | 358.785i | 0.199270 | − | 0.199270i | ||||
\(149\) | 613.207 | − | 1062.11i | 0.337154 | − | 0.583967i | −0.646742 | − | 0.762709i | \(-0.723869\pi\) |
0.983896 | + | 0.178741i | \(0.0572025\pi\) | |||||||
\(150\) | 624.131 | + | 1251.82i | 0.339734 | + | 0.681406i | ||||
\(151\) | −1465.58 | − | 2538.46i | −0.789849 | − | 1.36806i | −0.926059 | − | 0.377379i | \(-0.876825\pi\) |
0.136209 | − | 0.990680i | \(-0.456508\pi\) | |||||||
\(152\) | −20.1104 | − | 75.0529i | −0.0107313 | − | 0.0400499i | ||||
\(153\) | 644.760 | + | 833.945i | 0.340691 | + | 0.440657i | ||||
\(154\) | 132.941 | + | 305.644i | 0.0695630 | + | 0.159932i | ||||
\(155\) | −827.898 | + | 829.999i | −0.429022 | + | 0.430110i | ||||
\(156\) | 393.400 | − | 591.097i | 0.201905 | − | 0.303370i | ||||
\(157\) | −557.504 | + | 2080.63i | −0.283399 | + | 1.05766i | 0.666602 | + | 0.745414i | \(0.267748\pi\) |
−0.950001 | + | 0.312246i | \(0.898919\pi\) | |||||||
\(158\) | 390.116 | − | 1455.93i | 0.196430 | − | 0.733087i | ||||
\(159\) | −979.049 | + | 1471.06i | −0.488325 | + | 0.733726i | ||||
\(160\) | 1.98620 | + | 1567.41i | 0.000981395 | + | 0.774465i | ||||
\(161\) | 1366.09 | + | 155.482i | 0.668712 | + | 0.0761098i | ||||
\(162\) | 1353.85 | − | 794.884i | 0.656596 | − | 0.385506i | ||||
\(163\) | 154.538 | + | 576.743i | 0.0742598 | + | 0.277141i | 0.993064 | − | 0.117571i | \(-0.0375109\pi\) |
−0.918805 | + | 0.394713i | \(0.870844\pi\) | |||||||
\(164\) | 726.253 | + | 1257.91i | 0.345798 | + | 0.598939i | ||||
\(165\) | −216.068 | − | 434.748i | −0.101945 | − | 0.205122i | ||||
\(166\) | −7.02655 | + | 12.1703i | −0.00328534 | + | 0.00569037i | ||||
\(167\) | −1525.36 | + | 1525.36i | −0.706804 | + | 0.706804i | −0.965862 | − | 0.259058i | \(-0.916588\pi\) |
0.259058 | + | 0.965862i | \(0.416588\pi\) | |||||||
\(168\) | 199.556 | + | 2346.30i | 0.0916432 | + | 1.07750i | ||||
\(169\) | 545.134i | 0.248127i | ||||||||
\(170\) | −907.692 | + | 244.449i | −0.409511 | + | 0.110284i | ||||
\(171\) | 33.0991 | + | 79.0903i | 0.0148021 | + | 0.0353695i | ||||
\(172\) | 335.509 | − | 1252.13i | 0.148734 | − | 0.555084i | ||||
\(173\) | 2940.62 | − | 787.936i | 1.29232 | − | 0.346275i | 0.453777 | − | 0.891115i | \(-0.350076\pi\) |
0.838540 | + | 0.544840i | \(0.183410\pi\) | |||||||
\(174\) | 206.797 | − | 3245.89i | 0.0900989 | − | 1.41420i | ||||
\(175\) | 2288.69 | − | 348.256i | 0.988620 | − | 0.150433i | ||||
\(176\) | 215.595i | 0.0923356i | ||||||||
\(177\) | 622.306 | + | 3098.96i | 0.264268 | + | 1.31600i | ||||
\(178\) | 494.112 | + | 132.397i | 0.208063 | + | 0.0557504i | ||||
\(179\) | −687.497 | − | 1190.78i | −0.287072 | − | 0.497224i | 0.686037 | − | 0.727566i | \(-0.259349\pi\) |
−0.973110 | + | 0.230342i | \(0.926015\pi\) | |||||||
\(180\) | −137.422 | − | 1005.58i | −0.0569044 | − | 0.416396i | ||||
\(181\) | −2014.56 | −0.827299 | −0.413650 | − | 0.910436i | \(-0.635746\pi\) | ||||
−0.413650 | + | 0.910436i | \(0.635746\pi\) | |||||||
\(182\) | 1009.27 | + | 1268.52i | 0.411056 | + | 0.516642i | ||||
\(183\) | −2405.63 | + | 2117.47i | −0.971746 | + | 0.855342i | ||||
\(184\) | 1573.17 | + | 908.269i | 0.630302 | + | 0.363905i | ||||
\(185\) | −845.495 | − | 1460.16i | −0.336011 | − | 0.580289i | ||||
\(186\) | −1051.40 | + | 520.881i | −0.414475 | + | 0.205338i | ||||
\(187\) | 315.143 | − | 84.4422i | 0.123238 | − | 0.0330215i | ||||
\(188\) | 189.075 | + | 189.075i | 0.0733496 | + | 0.0733496i | ||||
\(189\) | −565.504 | − | 2536.04i | −0.217642 | − | 0.976029i | ||||
\(190\) | −76.4572 | + | 0.0968859i | −0.0291936 | + | 3.69939e-5i | ||||
\(191\) | −2904.33 | − | 1676.82i | −1.10026 | − | 0.635237i | −0.163972 | − | 0.986465i | \(-0.552431\pi\) |
−0.936290 | + | 0.351228i | \(0.885764\pi\) | |||||||
\(192\) | −844.434 | + | 2502.62i | −0.317405 | + | 0.940683i | ||||
\(193\) | 4258.64 | + | 1141.10i | 1.58831 | + | 0.425586i | 0.941485 | − | 0.337054i | \(-0.109430\pi\) |
0.646824 | + | 0.762640i | \(0.276097\pi\) | |||||||
\(194\) | 231.326 | − | 400.669i | 0.0856096 | − | 0.148280i | ||||
\(195\) | −1562.30 | − | 1770.39i | −0.573736 | − | 0.650154i | ||||
\(196\) | 1123.72 | + | 259.150i | 0.409517 | + | 0.0944423i | ||||
\(197\) | 2517.46 | − | 2517.46i | 0.910464 | − | 0.910464i | −0.0858446 | − | 0.996309i | \(-0.527359\pi\) |
0.996309 | + | 0.0858446i | \(0.0273588\pi\) | |||||||
\(198\) | −65.1828 | − | 481.520i | −0.0233957 | − | 0.172829i | ||||
\(199\) | 162.007 | − | 93.5347i | 0.0577103 | − | 0.0333191i | −0.470867 | − | 0.882204i | \(-0.656059\pi\) |
0.528578 | + | 0.848885i | \(0.322726\pi\) | |||||||
\(200\) | 2956.42 | + | 784.145i | 1.04525 | + | 0.277237i | ||||
\(201\) | 207.974 | − | 312.489i | 0.0729819 | − | 0.109658i | ||||
\(202\) | −2165.86 | − | 2165.86i | −0.754402 | − | 0.754402i | ||||
\(203\) | −5008.61 | − | 1972.26i | −1.73170 | − | 0.681899i | ||||
\(204\) | 680.684 | + | 43.3666i | 0.233615 | + | 0.0148837i | ||||
\(205\) | 4663.95 | − | 1256.04i | 1.58900 | − | 0.427930i | ||||
\(206\) | −253.102 | + | 146.129i | −0.0856042 | + | 0.0494236i | ||||
\(207\) | −1854.63 | − | 760.293i | −0.622734 | − | 0.255285i | ||||
\(208\) | 271.386 | + | 1012.82i | 0.0904673 | + | 0.337629i | ||||
\(209\) | 26.5362 | 0.00878253 | ||||||||
\(210\) | 2281.42 | + | 404.987i | 0.749682 | + | 0.133080i | ||||
\(211\) | 3965.13 | 1.29370 | 0.646850 | − | 0.762617i | \(-0.276086\pi\) | ||||
0.646850 | + | 0.762617i | \(0.276086\pi\) | |||||||
\(212\) | 295.926 | + | 1104.41i | 0.0958693 | + | 0.357789i | ||||
\(213\) | 1510.44 | − | 4476.44i | 0.485885 | − | 1.44000i | ||||
\(214\) | −3204.72 | + | 1850.24i | −1.02369 | + | 0.591028i | ||||
\(215\) | −3735.90 | − | 2150.62i | −1.18505 | − | 0.682190i | ||||
\(216\) | 651.281 | − | 3370.58i | 0.205158 | − | 1.06176i | ||||
\(217\) | 287.264 | + | 1920.57i | 0.0898652 | + | 0.600815i | ||||
\(218\) | 128.137 | + | 128.137i | 0.0398099 | + | 0.0398099i | ||||
\(219\) | −3814.54 | − | 2538.73i | −1.17700 | − | 0.783341i | ||||
\(220\) | −303.526 | − | 80.9174i | −0.0930168 | − | 0.0247975i | ||||
\(221\) | 1374.19 | − | 793.388i | 0.418271 | − | 0.241489i | ||||
\(222\) | −332.490 | − | 1655.74i | −0.100519 | − | 0.500566i | ||||
\(223\) | −2177.91 | + | 2177.91i | −0.654007 | + | 0.654007i | −0.953955 | − | 0.299948i | \(-0.903031\pi\) |
0.299948 | + | 0.953955i | \(0.403031\pi\) | |||||||
\(224\) | 2087.33 | + | 1544.16i | 0.622614 | + | 0.460596i | ||||
\(225\) | −3348.79 | − | 419.820i | −0.992233 | − | 0.124391i | ||||
\(226\) | −306.084 | + | 530.154i | −0.0900904 | + | 0.156041i | ||||
\(227\) | −5061.94 | − | 1356.34i | −1.48006 | − | 0.396580i | −0.573689 | − | 0.819073i | \(-0.694488\pi\) |
−0.906366 | + | 0.422493i | \(0.861155\pi\) | |||||||
\(228\) | 52.5639 | + | 17.7361i | 0.0152681 | + | 0.00515176i | ||||
\(229\) | −1431.04 | − | 826.209i | −0.412950 | − | 0.238417i | 0.279107 | − | 0.960260i | \(-0.409962\pi\) |
−0.692056 | + | 0.721844i | \(0.743295\pi\) | |||||||
\(230\) | 1262.33 | − | 1265.54i | 0.361895 | − | 0.362813i | ||||
\(231\) | −791.642 | − | 141.563i | −0.225481 | − | 0.0403212i | ||||
\(232\) | −5028.94 | − | 5028.94i | −1.42313 | − | 1.42313i | ||||
\(233\) | −2419.01 | + | 648.171i | −0.680147 | + | 0.182245i | −0.582321 | − | 0.812959i | \(-0.697855\pi\) |
−0.0978259 | + | 0.995204i | \(0.531189\pi\) | |||||||
\(234\) | −912.344 | − | 2180.05i | −0.254879 | − | 0.609034i | ||||
\(235\) | 769.489 | − | 445.566i | 0.213600 | − | 0.123683i | ||||
\(236\) | 1771.19 | + | 1022.60i | 0.488536 | + | 0.282056i | ||||
\(237\) | 2402.90 | + | 2729.91i | 0.658587 | + | 0.748215i | ||||
\(238\) | −570.531 | + | 1448.88i | −0.155387 | + | 0.394609i | ||||
\(239\) | 3887.22 | 1.05207 | 0.526033 | − | 0.850464i | \(-0.323679\pi\) | ||||
0.526033 | + | 0.850464i | \(0.323679\pi\) | |||||||
\(240\) | 1248.77 | + | 828.824i | 0.335864 | + | 0.222918i | ||||
\(241\) | −2528.22 | − | 4379.00i | −0.675754 | − | 1.17044i | −0.976248 | − | 0.216656i | \(-0.930485\pi\) |
0.300494 | − | 0.953784i | \(-0.402848\pi\) | |||||||
\(242\) | 2623.46 | + | 702.955i | 0.696870 | + | 0.186726i | ||||
\(243\) | −213.235 | + | 3781.99i | −0.0562923 | + | 0.998414i | ||||
\(244\) | 2073.64i | 0.544063i | ||||||||
\(245\) | 1795.26 | − | 3388.68i | 0.468143 | − | 0.883653i | ||||
\(246\) | 4824.64 | + | 307.379i | 1.25044 | + | 0.0796657i | ||||
\(247\) | 124.662 | − | 33.4032i | 0.0321137 | − | 0.00860484i | ||||
\(248\) | −664.054 | + | 2478.28i | −0.170030 | + | 0.634561i | ||||
\(249\) | −15.0524 | − | 30.3832i | −0.00383094 | − | 0.00773276i | ||||
\(250\) | 1494.93 | − | 2612.18i | 0.378192 | − | 0.660836i | ||||
\(251\) | − | 1153.85i | − | 0.290162i | −0.989420 | − | 0.145081i | \(-0.953656\pi\) | ||
0.989420 | − | 0.145081i | \(-0.0463443\pi\) | |||||||
\(252\) | −1473.49 | − | 809.525i | −0.368339 | − | 0.202362i | ||||
\(253\) | −438.678 | + | 438.678i | −0.109010 | + | 0.109010i | ||||
\(254\) | −1832.70 | + | 3174.33i | −0.452732 | + | 0.784154i | ||||
\(255\) | 722.416 | − | 2149.99i | 0.177410 | − | 0.527991i | ||||
\(256\) | 2062.16 | + | 3571.77i | 0.503458 | + | 0.872015i | ||||
\(257\) | 1005.76 | + | 3753.56i | 0.244116 | + | 0.911054i | 0.973826 | + | 0.227296i | \(0.0729887\pi\) |
−0.729709 | + | 0.683757i | \(0.760345\pi\) | |||||||
\(258\) | −2850.69 | − | 3238.64i | −0.687891 | − | 0.781507i | ||||
\(259\) | −2777.07 | − | 316.073i | −0.666249 | − | 0.0758295i | ||||
\(260\) | −1527.77 | + | 1.93597i | −0.364415 | + | 0.000461784i | ||||
\(261\) | 6243.31 | + | 4754.54i | 1.48066 | + | 1.12758i | ||||
\(262\) | −174.584 | + | 651.555i | −0.0411672 | + | 0.153638i | ||||
\(263\) | −1190.90 | + | 4444.49i | −0.279216 | + | 1.04205i | 0.673746 | + | 0.738963i | \(0.264684\pi\) |
−0.952963 | + | 0.303087i | \(0.901983\pi\) | |||||||
\(264\) | −884.527 | − | 588.689i | −0.206208 | − | 0.137240i | ||||
\(265\) | 3802.13 | − | 4.81803i | 0.881370 | − | 0.00111686i | ||||
\(266\) | −75.3232 | + | 101.819i | −0.0173623 | + | 0.0234696i | ||||
\(267\) | −926.474 | + | 815.493i | −0.212357 | + | 0.186919i | ||||
\(268\) | −62.8620 | − | 234.604i | −0.0143280 | − | 0.0534729i | ||||
\(269\) | 351.601 | + | 608.991i | 0.0796934 | + | 0.138033i | 0.903118 | − | 0.429393i | \(-0.141273\pi\) |
−0.823424 | + | 0.567426i | \(0.807939\pi\) | |||||||
\(270\) | −3039.64 | − | 1473.59i | −0.685137 | − | 0.332147i | ||||
\(271\) | −278.812 | + | 482.917i | −0.0624968 | + | 0.108248i | −0.895581 | − | 0.444899i | \(-0.853240\pi\) |
0.833084 | + | 0.553146i | \(0.186573\pi\) | |||||||
\(272\) | −712.224 | + | 712.224i | −0.158768 | + | 0.158768i | ||||
\(273\) | −3897.19 | + | 331.461i | −0.863987 | + | 0.0734833i | ||||
\(274\) | 4541.26i | 1.00127i | ||||||||
\(275\) | −519.999 | + | 905.960i | −0.114026 | + | 0.198660i | ||||
\(276\) | −1162.15 | + | 575.747i | −0.253453 | + | 0.125565i | ||||
\(277\) | −15.6731 | + | 58.4927i | −0.00339965 | + | 0.0126877i | −0.967605 | − | 0.252470i | \(-0.918757\pi\) |
0.964205 | + | 0.265157i | \(0.0854239\pi\) | |||||||
\(278\) | 3379.64 | − | 905.572i | 0.729127 | − | 0.195369i | ||||
\(279\) | 359.279 | − | 2808.19i | 0.0770949 | − | 0.602587i | ||||
\(280\) | 3960.83 | − | 3159.56i | 0.845374 | − | 0.674356i | ||||
\(281\) | 6813.04i | 1.44638i | 0.690651 | + | 0.723189i | \(0.257324\pi\) | ||||
−0.690651 | + | 0.723189i | \(0.742676\pi\) | |||||||
\(282\) | 872.553 | − | 175.218i | 0.184254 | − | 0.0370003i | ||||
\(283\) | 2143.06 | + | 574.231i | 0.450147 | + | 0.120616i | 0.476768 | − | 0.879029i | \(-0.341808\pi\) |
−0.0266213 | + | 0.999646i | \(0.508475\pi\) | |||||||
\(284\) | −1528.44 | − | 2647.34i | −0.319353 | − | 0.553136i | ||||
\(285\) | 102.015 | − | 153.703i | 0.0212029 | − | 0.0319459i | ||||
\(286\) | −731.445 | −0.151228 | ||||||||
\(287\) | 2931.53 | − | 7444.72i | 0.602937 | − | 1.53118i | ||||
\(288\) | −2315.24 | − | 2994.58i | −0.473705 | − | 0.612699i | ||||
\(289\) | −2934.74 | − | 1694.37i | −0.597342 | − | 0.344876i | ||||
\(290\) | −6056.18 | + | 3506.78i | −1.22631 | + | 0.710087i | ||||
\(291\) | 495.550 | + | 1000.27i | 0.0998271 | + | 0.201501i | ||||
\(292\) | −2863.81 | + | 767.354i | −0.573944 | + | 0.153788i | ||||
\(293\) | 6489.49 | + | 6489.49i | 1.29393 | + | 1.29393i | 0.932338 | + | 0.361588i | \(0.117765\pi\) |
0.361588 | + | 0.932338i | \(0.382235\pi\) | |||||||
\(294\) | 2790.25 | − | 2635.68i | 0.553506 | − | 0.522843i | ||||
\(295\) | 4802.95 | − | 4815.14i | 0.947928 | − | 0.950333i | ||||
\(296\) | −3198.04 | − | 1846.39i | −0.627981 | − | 0.362565i | ||||
\(297\) | 1054.33 | + | 512.778i | 0.205988 | + | 0.100183i | ||||
\(298\) | −2551.18 | − | 683.585i | −0.495925 | − | 0.132883i | ||||
\(299\) | −1508.63 | + | 2613.03i | −0.291794 | + | 0.505402i | ||||
\(300\) | −1635.55 | + | 1447.00i | −0.314762 | + | 0.278476i | ||||
\(301\) | −6548.10 | + | 2848.12i | −1.25391 | + | 0.545391i | ||||
\(302\) | −4463.59 | + | 4463.59i | −0.850498 | + | 0.850498i | ||||
\(303\) | 7245.74 | − | 1455.02i | 1.37379 | − | 0.275871i | ||||
\(304\) | −70.9477 | + | 40.9617i | −0.0133853 | + | 0.00772800i | ||||
\(305\) | 6662.92 | + | 1776.28i | 1.25088 | + | 0.333473i | ||||
\(306\) | 1375.38 | − | 1806.05i | 0.256946 | − | 0.337402i | ||||
\(307\) | −43.4296 | − | 43.4296i | −0.00807381 | − | 0.00807381i | 0.703058 | − | 0.711132i | \(-0.251817\pi\) |
−0.711132 | + | 0.703058i | \(0.751817\pi\) | |||||||
\(308\) | −407.193 | + | 323.975i | −0.0753310 | + | 0.0599356i | ||||
\(309\) | 44.8351 | − | 703.734i | 0.00825430 | − | 0.129560i | ||||
\(310\) | 2188.01 | + | 1259.56i | 0.400874 | + | 0.230768i | ||||
\(311\) | −7936.44 | + | 4582.11i | −1.44706 | + | 0.835458i | −0.998305 | − | 0.0581989i | \(-0.981464\pi\) |
−0.448751 | + | 0.893657i | \(0.648131\pi\) | |||||||
\(312\) | −4896.37 | − | 1652.13i | −0.888470 | − | 0.299787i | ||||
\(313\) | 1750.22 | + | 6531.90i | 0.316064 | + | 1.17957i | 0.922995 | + | 0.384813i | \(0.125734\pi\) |
−0.606930 | + | 0.794755i | \(0.707599\pi\) | |||||||
\(314\) | 4638.85 | 0.833713 | ||||||||
\(315\) | −3863.32 | + | 4041.12i | −0.691026 | + | 0.722830i | ||||
\(316\) | 2353.17 | 0.418912 | ||||||||
\(317\) | 1261.87 | + | 4709.37i | 0.223577 | + | 0.834399i | 0.982970 | + | 0.183767i | \(0.0588293\pi\) |
−0.759393 | + | 0.650632i | \(0.774504\pi\) | |||||||
\(318\) | 3605.79 | + | 1216.66i | 0.635857 | + | 0.214550i | ||||
\(319\) | 2103.48 | − | 1214.44i | 0.369192 | − | 0.213153i | ||||
\(320\) | 5487.55 | − | 1477.84i | 0.958635 | − | 0.258168i | ||||
\(321\) | 567.690 | − | 8910.50i | 0.0987084 | − | 1.54933i | ||||
\(322\) | −438.004 | − | 2928.38i | −0.0758044 | − | 0.506808i | ||||
\(323\) | 87.6633 | + | 87.6633i | 0.0151013 | + | 0.0151013i | ||||
\(324\) | 1745.72 | + | 1720.41i | 0.299335 | + | 0.294995i | ||||
\(325\) | −1302.46 | + | 4910.60i | −0.222300 | + | 0.838126i | ||||
\(326\) | 1113.60 | − | 642.936i | 0.189192 | − | 0.109230i | ||||
\(327\) | −428.676 | + | 86.0828i | −0.0724949 | + | 0.0145578i | ||||
\(328\) | 7474.93 | − | 7474.93i | 1.25834 | − | 1.25834i | ||||
\(329\) | 166.567 | − | 1463.48i | 0.0279123 | − | 0.245241i | ||||
\(330\) | −783.925 | + | 691.785i | −0.130769 | + | 0.115398i | ||||
\(331\) | −988.861 | + | 1712.76i | −0.164208 | + | 0.284416i | −0.936374 | − | 0.351005i | \(-0.885840\pi\) |
0.772166 | + | 0.635421i | \(0.219173\pi\) | |||||||
\(332\) | −21.1920 | − | 5.67837i | −0.00350319 | − | 0.000938678i | ||||
\(333\) | 3770.22 | + | 1545.57i | 0.620441 | + | 0.254345i | ||||
\(334\) | 4023.26 | + | 2322.83i | 0.659111 | + | 0.380538i | ||||
\(335\) | −807.666 | + | 1.02347i | −0.131724 | + | 0.000166919i | ||||
\(336\) | 2335.06 | − | 843.502i | 0.379132 | − | 0.136955i | ||||
\(337\) | 2818.52 | + | 2818.52i | 0.455592 | + | 0.455592i | 0.897205 | − | 0.441613i | \(-0.145594\pi\) |
−0.441613 | + | 0.897205i | \(0.645594\pi\) | |||||||
\(338\) | 1133.98 | − | 303.850i | 0.182487 | − | 0.0488972i | ||||
\(339\) | −655.698 | − | 1323.53i | −0.105052 | − | 0.212048i | ||||
\(340\) | −735.394 | − | 1270.02i | −0.117301 | − | 0.202578i | ||||
\(341\) | −758.846 | − | 438.120i | −0.120510 | − | 0.0695763i | ||||
\(342\) | 146.074 | − | 112.936i | 0.0230958 | − | 0.0178564i | ||||
\(343\) | −2736.84 | − | 5732.65i | −0.430832 | − | 0.902432i | ||||
\(344\) | −9434.34 | −1.47868 | ||||||||
\(345\) | 854.470 | + | 4227.34i | 0.133342 | + | 0.659688i | ||||
\(346\) | −3278.11 | − | 5677.86i | −0.509342 | − | 0.882206i | ||||
\(347\) | 7282.45 | + | 1951.33i | 1.12664 | + | 0.301881i | 0.773566 | − | 0.633716i | \(-0.218471\pi\) |
0.353070 | + | 0.935597i | \(0.385138\pi\) | |||||||
\(348\) | 4978.34 | − | 999.704i | 0.766859 | − | 0.153994i | ||||
\(349\) | − | 3794.58i | − | 0.582003i | −0.956723 | − | 0.291002i | \(-0.906011\pi\) | ||
0.956723 | − | 0.291002i | \(-0.0939885\pi\) | |||||||
\(350\) | −2000.12 | − | 4566.79i | −0.305460 | − | 0.697444i | ||||
\(351\) | 5598.52 | + | 1081.78i | 0.851359 | + | 0.164504i | ||||
\(352\) | −1131.63 | + | 303.220i | −0.171353 | + | 0.0459139i | ||||
\(353\) | −214.147 | + | 799.207i | −0.0322886 | + | 0.120503i | −0.980189 | − | 0.198064i | \(-0.936535\pi\) |
0.947901 | + | 0.318566i | \(0.103201\pi\) | |||||||
\(354\) | 6099.57 | − | 3021.83i | 0.915787 | − | 0.453696i | ||||
\(355\) | −9815.56 | + | 2643.41i | −1.46748 | + | 0.395204i | ||||
\(356\) | 798.614i | 0.118895i | ||||||||
\(357\) | −2147.56 | − | 3082.87i | −0.318377 | − | 0.457039i | ||||
\(358\) | −2093.85 | + | 2093.85i | −0.309115 | + | 0.309115i | ||||
\(359\) | −638.519 | + | 1105.95i | −0.0938712 | + | 0.162590i | −0.909137 | − | 0.416497i | \(-0.863258\pi\) |
0.815266 | + | 0.579087i | \(0.196591\pi\) | |||||||
\(360\) | −6810.24 | + | 2860.21i | −0.997031 | + | 0.418740i | ||||
\(361\) | −3424.46 | − | 5931.34i | −0.499265 | − | 0.864752i | ||||
\(362\) | 1122.89 | + | 4190.67i | 0.163032 | + | 0.608444i | ||||
\(363\) | −4919.07 | + | 4329.82i | −0.711251 | + | 0.626051i | ||||
\(364\) | −1505.11 | + | 2034.54i | −0.216728 | + | 0.292964i | ||||
\(365\) | 12.4934 | + | 9859.15i | 0.00179161 | + | 1.41384i | ||||
\(366\) | 5745.60 | + | 3823.93i | 0.820566 | + | 0.546120i | ||||
\(367\) | −599.513 | + | 2237.41i | −0.0852707 | + | 0.318235i | −0.995365 | − | 0.0961660i | \(-0.969342\pi\) |
0.910095 | + | 0.414400i | \(0.136009\pi\) | |||||||
\(368\) | 495.707 | − | 1850.00i | 0.0702188 | − | 0.262060i | ||||
\(369\) | −7067.08 | + | 9279.95i | −0.997012 | + | 1.30920i | ||||
\(370\) | −2566.15 | + | 2572.66i | −0.360562 | + | 0.361477i | ||||
\(371\) | 3745.74 | − | 5063.33i | 0.524176 | − | 0.708558i | ||||
\(372\) | −1210.32 | − | 1375.03i | −0.168689 | − | 0.191646i | ||||
\(373\) | −1515.24 | − | 5654.95i | −0.210338 | − | 0.784993i | −0.987756 | − | 0.156008i | \(-0.950137\pi\) |
0.777418 | − | 0.628985i | \(-0.216529\pi\) | |||||||
\(374\) | −351.312 | − | 608.490i | −0.0485719 | − | 0.0841290i | ||||
\(375\) | 3248.43 | + | 6494.77i | 0.447328 | + | 0.894370i | ||||
\(376\) | 973.025 | − | 1685.33i | 0.133457 | − | 0.231155i | ||||
\(377\) | 8353.04 | − | 8353.04i | 1.14112 | − | 1.14112i | ||||
\(378\) | −4960.23 | + | 2589.90i | −0.674939 | + | 0.352408i | ||||
\(379\) | 6473.24i | 0.877330i | 0.898651 | + | 0.438665i | \(0.144548\pi\) | ||||
−0.898651 | + | 0.438665i | \(0.855452\pi\) | |||||||
\(380\) | −31.0398 | − | 115.258i | −0.00419029 | − | 0.0155595i | ||||
\(381\) | −3926.03 | − | 7924.71i | −0.527918 | − | 1.06560i | ||||
\(382\) | −1869.27 | + | 6976.19i | −0.250366 | + | 0.934380i | ||||
\(383\) | −8080.81 | + | 2165.25i | −1.07809 | + | 0.288874i | −0.753815 | − | 0.657087i | \(-0.771788\pi\) |
−0.324279 | + | 0.945961i | \(0.605122\pi\) | |||||||
\(384\) | −139.327 | − | 8.87657i | −0.0185156 | − | 0.00117964i | ||||
\(385\) | 692.178 | + | 1585.89i | 0.0916277 | + | 0.209933i | ||||
\(386\) | − | 9494.81i | − | 1.25200i | ||||||
\(387\) | 10316.0 | − | 1396.47i | 1.35502 | − | 0.183428i | ||||
\(388\) | 697.677 | + | 186.942i | 0.0912866 | + | 0.0244602i | ||||
\(389\) | −3156.88 | − | 5467.88i | −0.411466 | − | 0.712680i | 0.583584 | − | 0.812053i | \(-0.301650\pi\) |
−0.995050 | + | 0.0993725i | \(0.968316\pi\) | |||||||
\(390\) | −2811.94 | + | 4236.67i | −0.365097 | + | 0.550082i | ||||
\(391\) | −2898.37 | −0.374877 | ||||||||
\(392\) | −294.897 | − | 8387.74i | −0.0379963 | − | 1.08073i | ||||
\(393\) | −1075.34 | − | 1221.68i | −0.138025 | − | 0.156809i | ||||
\(394\) | −6639.98 | − | 3833.60i | −0.849029 | − | 0.490187i | ||||
\(395\) | 2015.72 | − | 7561.08i | 0.256764 | − | 0.963138i | ||||
\(396\) | 699.791 | − | 292.861i | 0.0888026 | − | 0.0371637i | ||||
\(397\) | 2936.12 | − | 786.731i | 0.371183 | − | 0.0994582i | −0.0684051 | − | 0.997658i | \(-0.521791\pi\) |
0.439588 | + | 0.898199i | \(0.355124\pi\) | |||||||
\(398\) | −284.870 | − | 284.870i | −0.0358775 | − | 0.0358775i | ||||
\(399\) | −103.822 | − | 287.409i | −0.0130265 | − | 0.0360613i | ||||
\(400\) | −8.17306 | − | 3224.87i | −0.00102163 | − | 0.403108i | ||||
\(401\) | −1054.65 | − | 608.903i | −0.131339 | − | 0.0758283i | 0.432891 | − | 0.901446i | \(-0.357493\pi\) |
−0.564230 | + | 0.825618i | \(0.690827\pi\) | |||||||
\(402\) | −765.957 | − | 258.449i | −0.0950311 | − | 0.0320653i | ||||
\(403\) | −4116.41 | − | 1102.99i | −0.508817 | − | 0.136337i | ||||
\(404\) | 2390.95 | − | 4141.24i | 0.294441 | − | 0.509987i | ||||
\(405\) | 7023.33 | − | 4135.57i | 0.861709 | − | 0.507403i | ||||
\(406\) | −1310.95 | + | 11518.2i | −0.160249 | + | 1.40797i | ||||
\(407\) | 891.773 | − | 891.773i | 0.108608 | − | 0.108608i | ||||
\(408\) | −977.309 | − | 4866.82i | −0.118588 | − | 0.590547i | ||||
\(409\) | 6818.07 | − | 3936.41i | 0.824283 | − | 0.475900i | −0.0276081 | − | 0.999619i | \(-0.508789\pi\) |
0.851891 | + | 0.523719i | \(0.175456\pi\) | |||||||
\(410\) | −5212.42 | − | 9001.81i | −0.627861 | − | 1.08431i | ||||
\(411\) | −9121.67 | − | 6070.84i | −1.09474 | − | 0.728595i | ||||
\(412\) | −322.631 | − | 322.631i | −0.0385798 | − | 0.0385798i | ||||
\(413\) | −1666.53 | − | 11142.0i | −0.198558 | − | 1.32751i | ||||
\(414\) | −547.809 | + | 4281.77i | −0.0650322 | + | 0.508303i | ||||
\(415\) | −36.3985 | + | 63.2289i | −0.00430538 | + | 0.00747900i | ||||
\(416\) | −4934.52 | + | 2848.95i | −0.581574 | + | 0.335772i | ||||
\(417\) | −2699.02 | + | 7999.00i | −0.316958 | + | 0.939359i | ||||
\(418\) | −14.7909 | − | 55.2004i | −0.00173073 | − | 0.00645919i | ||||
\(419\) | −8868.69 | −1.03404 | −0.517021 | − | 0.855973i | \(-0.672959\pi\) | ||||
−0.517021 | + | 0.855973i | \(0.672959\pi\) | |||||||
\(420\) | 311.127 | + | 3604.01i | 0.0361463 | + | 0.418709i | ||||
\(421\) | −850.827 | −0.0984959 | −0.0492479 | − | 0.998787i | \(-0.515682\pi\) | ||||
−0.0492479 | + | 0.998787i | \(0.515682\pi\) | |||||||
\(422\) | −2210.10 | − | 8248.22i | −0.254944 | − | 0.951462i | ||||
\(423\) | −814.499 | + | 1986.86i | −0.0936224 | + | 0.228379i | ||||
\(424\) | 7206.46 | − | 4160.65i | 0.825417 | − | 0.476555i | ||||
\(425\) | −4710.70 | + | 1275.03i | −0.537653 | + | 0.145525i | ||||
\(426\) | −10153.7 | − | 646.897i | −1.15481 | − | 0.0735734i | ||||
\(427\) | 8938.60 | − | 7111.81i | 1.01304 | − | 0.806006i | ||||
\(428\) | −4085.07 | − | 4085.07i | −0.461353 | − | 0.461353i | ||||
\(429\) | 977.809 | − | 1469.19i | 0.110044 | − | 0.165346i | ||||
\(430\) | −2391.35 | + | 8970.11i | −0.268189 | + | 1.00599i | ||||
\(431\) | 9603.63 | − | 5544.66i | 1.07330 | − | 0.619668i | 0.144216 | − | 0.989546i | \(-0.453934\pi\) |
0.929080 | + | 0.369879i | \(0.120601\pi\) | |||||||
\(432\) | −3610.40 | + | 256.503i | −0.402096 | + | 0.0285672i | ||||
\(433\) | 5061.69 | − | 5061.69i | 0.561777 | − | 0.561777i | −0.368035 | − | 0.929812i | \(-0.619969\pi\) |
0.929812 | + | 0.368035i | \(0.119969\pi\) | |||||||
\(434\) | 3835.04 | − | 1668.06i | 0.424165 | − | 0.184492i | ||||
\(435\) | 1052.24 | − | 16852.5i | 0.115979 | − | 1.85751i | ||||
\(436\) | −141.454 | + | 245.006i | −0.0155377 | + | 0.0269121i | ||||
\(437\) | −227.706 | − | 61.0135i | −0.0249259 | − | 0.00667889i | ||||
\(438\) | −3154.88 | + | 9350.02i | −0.344169 | + | 1.02000i | ||||
\(439\) | 12281.0 | + | 7090.43i | 1.33517 | + | 0.770860i | 0.986087 | − | 0.166232i | \(-0.0531601\pi\) |
0.349082 | + | 0.937092i | \(0.386493\pi\) | |||||||
\(440\) | 2.89702 | + | 2286.17i | 0.000313886 | + | 0.247702i | ||||
\(441\) | 1564.01 | + | 9127.98i | 0.168881 | + | 0.985636i | ||||
\(442\) | −2416.35 | − | 2416.35i | −0.260032 | − | 0.260032i | ||||
\(443\) | −2317.37 | + | 620.936i | −0.248536 | + | 0.0665950i | −0.380936 | − | 0.924601i | \(-0.624398\pi\) |
0.132400 | + | 0.991196i | \(0.457732\pi\) | |||||||
\(444\) | 2362.49 | − | 1170.42i | 0.252520 | − | 0.125103i | ||||
\(445\) | 2566.07 | + | 684.092i | 0.273356 | + | 0.0728743i | ||||
\(446\) | 5744.40 | + | 3316.53i | 0.609877 | + | 0.352113i | ||||
\(447\) | 4783.52 | − | 4210.51i | 0.506159 | − | 0.445527i | ||||
\(448\) | 3449.20 | − | 8759.36i | 0.363749 | − | 0.923752i | ||||
\(449\) | 9891.09 | 1.03962 | 0.519810 | − | 0.854282i | \(-0.326003\pi\) | ||||
0.519810 | + | 0.854282i | \(0.326003\pi\) | |||||||
\(450\) | 993.259 | + | 7200.12i | 0.104050 | + | 0.754259i | ||||
\(451\) | 1805.13 | + | 3126.57i | 0.188470 | + | 0.326440i | ||||
\(452\) | −923.146 | − | 247.356i | −0.0960645 | − | 0.0257404i | ||||
\(453\) | −2998.64 | − | 14932.7i | −0.311012 | − | 1.54878i | ||||
\(454\) | 11285.8i | 1.16667i | ||||||||
\(455\) | 5248.01 | + | 6578.92i | 0.540726 | + | 0.677856i | ||||
\(456\) | 25.6706 | − | 402.926i | 0.00263626 | − | 0.0413789i | ||||
\(457\) | 7162.71 | − | 1919.24i | 0.733167 | − | 0.196452i | 0.127128 | − | 0.991886i | \(-0.459424\pi\) |
0.606039 | + | 0.795435i | \(0.292757\pi\) | |||||||
\(458\) | −921.033 | + | 3437.34i | −0.0939673 | + | 0.350691i | ||||
\(459\) | 1789.03 | + | 5176.99i | 0.181928 | + | 0.526451i | ||||
\(460\) | 2418.48 | + | 1392.23i | 0.245136 | + | 0.141115i | ||||
\(461\) | 8777.41i | 0.886778i | 0.896329 | + | 0.443389i | \(0.146224\pi\) | ||||
−0.896329 | + | 0.443389i | \(0.853776\pi\) | |||||||
\(462\) | 146.771 | + | 1725.67i | 0.0147801 | + | 0.173778i | ||||
\(463\) | −12510.7 | + | 12510.7i | −1.25577 | + | 1.25577i | −0.302677 | + | 0.953093i | \(0.597880\pi\) |
−0.953093 | + | 0.302677i | \(0.902120\pi\) | |||||||
\(464\) | −3749.26 | + | 6493.91i | −0.375119 | + | 0.649725i | ||||
\(465\) | −5454.95 | + | 2711.09i | −0.544015 | + | 0.270374i | ||||
\(466\) | 2696.64 | + | 4670.71i | 0.268067 | + | 0.464306i | ||||
\(467\) | 1774.86 | + | 6623.88i | 0.175869 | + | 0.656353i | 0.996402 | + | 0.0847533i | \(0.0270102\pi\) |
−0.820533 | + | 0.571599i | \(0.806323\pi\) | |||||||
\(468\) | 2918.85 | − | 2256.69i | 0.288299 | − | 0.222896i | ||||
\(469\) | −795.687 | + | 1075.58i | −0.0783399 | + | 0.105897i | ||||
\(470\) | −1355.76 | − | 1352.33i | −0.133057 | − | 0.132720i | ||||
\(471\) | −6201.31 | + | 9317.70i | −0.606670 | + | 0.911543i | ||||
\(472\) | 3852.43 | − | 14377.5i | 0.375683 | − | 1.40207i | ||||
\(473\) | 833.919 | − | 3112.23i | 0.0810647 | − | 0.302538i | ||||
\(474\) | 4339.40 | − | 6520.10i | 0.420496 | − | 0.631811i | ||||
\(475\) | −396.929 | + | 1.00597i | −0.0383418 | + | 9.71730e-5i | ||||
\(476\) | −2415.43 | − | 274.914i | −0.232587 | − | 0.0264720i | ||||
\(477\) | −7264.10 | + | 5616.19i | −0.697275 | + | 0.539094i | ||||
\(478\) | −2166.68 | − | 8086.16i | −0.207326 | − | 0.773750i | ||||
\(479\) | −4153.05 | − | 7193.29i | −0.396153 | − | 0.686158i | 0.597094 | − | 0.802171i | \(-0.296322\pi\) |
−0.993248 | + | 0.116013i | \(0.962988\pi\) | |||||||
\(480\) | −2594.10 | + | 7720.32i | −0.246674 | + | 0.734131i | ||||
\(481\) | 3066.84 | − | 5311.93i | 0.290719 | − | 0.503541i | ||||
\(482\) | −7699.96 | + | 7699.96i | −0.727642 | + | 0.727642i | ||||
\(483\) | 6467.54 | + | 3034.93i | 0.609282 | + | 0.285909i | ||||
\(484\) | 4240.20i | 0.398216i | ||||||||
\(485\) | 1198.30 | − | 2081.61i | 0.112190 | − | 0.194889i | ||||
\(486\) | 7986.11 | − | 1664.46i | 0.745385 | − | 0.155352i | ||||
\(487\) | 214.409 | − | 800.186i | 0.0199503 | − | 0.0744556i | −0.955233 | − | 0.295855i | \(-0.904396\pi\) |
0.975183 | + | 0.221399i | \(0.0710623\pi\) | |||||||
\(488\) | 14577.5 | − | 3906.02i | 1.35223 | − | 0.362330i | ||||
\(489\) | −197.265 | + | 3096.29i | −0.0182426 | + | 0.286337i | ||||
\(490\) | −8049.75 | − | 1845.68i | −0.742144 | − | 0.170162i | ||||
\(491\) | 4775.15i | 0.438899i | 0.975624 | + | 0.219450i | \(0.0704261\pi\) | ||||
−0.975624 | + | 0.219450i | \(0.929574\pi\) | |||||||
\(492\) | 1485.94 | + | 7399.72i | 0.136162 | + | 0.678059i | ||||
\(493\) | 10960.9 | + | 2936.95i | 1.00132 | + | 0.268304i | ||||
\(494\) | −138.970 | − | 240.703i | −0.0126570 | − | 0.0219226i | ||||
\(495\) | −341.566 | − | 2499.40i | −0.0310147 | − | 0.226949i | ||||
\(496\) | 2705.15 | 0.244889 | ||||||||
\(497\) | −6169.59 | + | 15667.9i | −0.556828 | + | 1.41408i | ||||
\(498\) | −54.8129 | + | 48.2469i | −0.00493218 | + | 0.00434136i | ||||
\(499\) | −1897.27 | − | 1095.39i | −0.170208 | − | 0.0982695i | 0.412476 | − | 0.910968i | \(-0.364664\pi\) |
−0.582684 | + | 0.812699i | \(0.697997\pi\) | |||||||
\(500\) | 4543.21 | + | 1198.86i | 0.406357 | + | 0.107229i | ||||
\(501\) | −10044.1 | + | 4976.00i | −0.895680 | + | 0.443735i | ||||
\(502\) | −2400.24 | + | 643.142i | −0.213402 | + | 0.0571809i | ||||
\(503\) | −1021.89 | − | 1021.89i | −0.0905839 | − | 0.0905839i | 0.660363 | − | 0.750947i | \(-0.270403\pi\) |
−0.750947 | + | 0.660363i | \(0.770403\pi\) | |||||||
\(504\) | −2915.32 | + | 11883.3i | −0.257656 | + | 1.05025i | ||||
\(505\) | −11258.4 | − | 11229.9i | −0.992060 | − | 0.989549i | ||||
\(506\) | 1157.05 | + | 668.020i | 0.101654 | + | 0.0586900i | ||||
\(507\) | −905.611 | + | 2683.93i | −0.0793286 | + | 0.235104i | ||||
\(508\) | −5527.40 | − | 1481.06i | −0.482753 | − | 0.129353i | ||||
\(509\) | 4530.19 | − | 7846.51i | 0.394493 | − | 0.683282i | −0.598543 | − | 0.801091i | \(-0.704254\pi\) |
0.993036 | + | 0.117808i | \(0.0375868\pi\) | |||||||
\(510\) | −4875.06 | − | 304.389i | −0.423277 | − | 0.0264286i | ||||
\(511\) | 13129.5 | + | 9712.93i | 1.13663 | + | 0.840850i | ||||
\(512\) | 6128.56 | − | 6128.56i | 0.528997 | − | 0.528997i | ||||
\(513\) | 31.5714 | + | 444.382i | 0.00271718 | + | 0.0382455i | ||||
\(514\) | 7247.53 | − | 4184.36i | 0.621935 | − | 0.359074i | ||||
\(515\) | −1313.03 | + | 760.297i | −0.112347 | + | 0.0650537i | ||||
\(516\) | 3731.98 | − | 5607.44i | 0.318394 | − | 0.478398i | ||||
\(517\) | 469.954 | + | 469.954i | 0.0399778 | + | 0.0399778i | ||||
\(518\) | 890.404 | + | 5953.00i | 0.0755253 | + | 0.504942i | ||||
\(519\) | 15786.9 | + | 1005.79i | 1.33520 | + | 0.0850659i | ||||
\(520\) | 2891.39 | + | 10736.4i | 0.243838 | + | 0.905425i | ||||
\(521\) | −5389.05 | + | 3111.37i | −0.453165 | + | 0.261635i | −0.709166 | − | 0.705042i | \(-0.750928\pi\) |
0.256001 | + | 0.966676i | \(0.417595\pi\) | |||||||
\(522\) | 6410.43 | − | 15637.4i | 0.537503 | − | 1.31117i | ||||
\(523\) | −3354.91 | − | 12520.7i | −0.280497 | − | 1.04683i | −0.952068 | − | 0.305888i | \(-0.901047\pi\) |
0.671571 | − | 0.740940i | \(-0.265620\pi\) | |||||||
\(524\) | −1053.08 | −0.0877942 | ||||||||
\(525\) | 11846.8 | + | 2087.50i | 0.984828 | + | 0.173535i | ||||
\(526\) | 9909.18 | 0.821408 | ||||||||
\(527\) | −1059.53 | − | 3954.21i | −0.0875783 | − | 0.326847i | ||||
\(528\) | −358.160 | + | 1061.47i | −0.0295206 | + | 0.0874894i | ||||
\(529\) | −5764.04 | + | 3327.87i | −0.473743 | + | 0.273516i | ||||
\(530\) | −2129.27 | − | 7906.47i | −0.174509 | − | 0.647991i | ||||
\(531\) | −2084.32 | + | 16291.4i | −0.170342 | + | 1.33142i | ||||
\(532\) | −183.977 | − | 72.4454i | −0.0149933 | − | 0.00590396i | ||||
\(533\) | 12415.8 | + | 12415.8i | 1.00898 | + | 1.00898i | ||||
\(534\) | 2212.78 | + | 1472.70i | 0.179319 | + | 0.119344i | ||||
\(535\) | −16625.2 | + | 9626.68i | −1.34350 | + | 0.777939i | ||||
\(536\) | −1530.83 | + | 883.825i | −0.123362 | + | 0.0712228i | ||||
\(537\) | −1406.65 | − | 7004.84i | −0.113038 | − | 0.562907i | ||||
\(538\) | 1070.84 | − | 1070.84i | 0.0858127 | − | 0.0858127i | ||||
\(539\) | 2793.04 | + | 644.126i | 0.223200 | + | 0.0514740i | ||||
\(540\) | 993.943 | − | 5179.19i | 0.0792083 | − | 0.412735i | ||||
\(541\) | −8328.74 | + | 14425.8i | −0.661887 | + | 1.14642i | 0.318233 | + | 0.948013i | \(0.396911\pi\) |
−0.980119 | + | 0.198409i | \(0.936423\pi\) | |||||||
\(542\) | 1159.96 | + | 310.811i | 0.0919275 | + | 0.0246319i | ||||
\(543\) | −9918.56 | − | 3346.72i | −0.783879 | − | 0.264496i | ||||
\(544\) | −4740.09 | − | 2736.69i | −0.373584 | − | 0.215689i | ||||
\(545\) | 666.072 | + | 664.386i | 0.0523512 | + | 0.0522187i | ||||
\(546\) | 2861.74 | + | 7922.14i | 0.224306 | + | 0.620945i | ||||
\(547\) | 4346.46 | + | 4346.46i | 0.339746 | + | 0.339746i | 0.856272 | − | 0.516526i | \(-0.172775\pi\) |
−0.516526 | + | 0.856272i | \(0.672775\pi\) | |||||||
\(548\) | −6848.19 | + | 1834.97i | −0.533832 | + | 0.143040i | ||||
\(549\) | −15361.6 | + | 6428.81i | −1.19421 | + | 0.499772i | ||||
\(550\) | 2174.41 | + | 576.729i | 0.168577 | + | 0.0447124i | ||||
\(551\) | 799.296 | + | 461.474i | 0.0617988 | + | 0.0356796i | ||||
\(552\) | 6236.52 | + | 7085.25i | 0.480877 | + | 0.546319i | ||||
\(553\) | −8070.48 | − | 10143.5i | −0.620600 | − | 0.780012i | ||||
\(554\) | 130.412 | 0.0100012 | ||||||||
\(555\) | −1737.02 | − | 8593.61i | −0.132851 | − | 0.657259i | ||||
\(556\) | 2731.19 | + | 4730.56i | 0.208324 | + | 0.360828i | ||||
\(557\) | −15556.6 | − | 4168.39i | −1.18340 | − | 0.317092i | −0.387128 | − | 0.922026i | \(-0.626533\pi\) |
−0.796275 | + | 0.604934i | \(0.793199\pi\) | |||||||
\(558\) | −6041.82 | + | 817.873i | −0.458370 | + | 0.0620490i | ||||
\(559\) | − | 15670.4i | − | 1.18567i | ||||||
\(560\) | −4298.62 | − | 3171.60i | −0.324374 | − | 0.239330i | ||||
\(561\) | 1691.86 | + | 107.789i | 0.127327 | + | 0.00811206i | ||||
\(562\) | 14172.4 | − | 3797.49i | 1.06375 | − | 0.285031i | ||||
\(563\) | 5696.28 | − | 21258.8i | 0.426411 | − | 1.59139i | −0.334411 | − | 0.942427i | \(-0.608537\pi\) |
0.760822 | − | 0.648960i | \(-0.224796\pi\) | |||||||
\(564\) | 616.796 | + | 1245.00i | 0.0460493 | + | 0.0929505i | ||||
\(565\) | −1585.56 | + | 2754.32i | −0.118062 | + | 0.205089i | ||||
\(566\) | − | 4778.03i | − | 0.354834i | ||||||
\(567\) | 1428.80 | − | 13425.5i | 0.105827 | − | 0.994385i | ||||
\(568\) | −15731.4 | + | 15731.4i | −1.16211 | + | 1.16211i | ||||
\(569\) | 91.0940 | − | 157.779i | 0.00671153 | − | 0.0116247i | −0.862650 | − | 0.505801i | \(-0.831197\pi\) |
0.869362 | + | 0.494176i | \(0.164530\pi\) | |||||||
\(570\) | −376.593 | − | 126.539i | −0.0276732 | − | 0.00929845i | ||||
\(571\) | −8297.87 | − | 14372.3i | −0.608153 | − | 1.05335i | −0.991545 | − | 0.129766i | \(-0.958577\pi\) |
0.383392 | − | 0.923586i | \(-0.374756\pi\) | |||||||
\(572\) | −295.552 | − | 1103.01i | −0.0216042 | − | 0.0806281i | ||||
\(573\) | −11513.7 | − | 13080.6i | −0.839424 | − | 0.953662i | ||||
\(574\) | −17120.4 | − | 1948.57i | −1.24494 | − | 0.141693i | ||||
\(575\) | 6545.11 | − | 6578.37i | 0.474696 | − | 0.477108i | ||||
\(576\) | −8315.03 | + | 10918.7i | −0.601492 | + | 0.789834i | ||||
\(577\) | −3814.24 | + | 14234.9i | −0.275197 | + | 1.02705i | 0.680511 | + | 0.732737i | \(0.261758\pi\) |
−0.955709 | + | 0.294314i | \(0.904909\pi\) | |||||||
\(578\) | −1888.84 | + | 7049.24i | −0.135926 | + | 0.507283i | ||||
\(579\) | 19071.5 | + | 12692.8i | 1.36888 | + | 0.911048i | ||||
\(580\) | −7735.29 | − | 7715.71i | −0.553777 | − | 0.552375i | ||||
\(581\) | 48.2034 | + | 110.824i | 0.00344202 | + | 0.00791355i | ||||
\(582\) | 1804.54 | − | 1588.37i | 0.128523 | − | 0.113128i | ||||
\(583\) | 735.535 | + | 2745.06i | 0.0522517 | + | 0.195006i | ||||
\(584\) | 10788.8 | + | 18686.8i | 0.764460 | + | 1.32408i | ||||
\(585\) | −4750.80 | − | 11311.8i | −0.335763 | − | 0.799460i | ||||
\(586\) | 9882.23 | − | 17116.5i | 0.696640 | − | 1.20662i | ||||
\(587\) | −15535.5 | + | 15535.5i | −1.09236 | + | 1.09236i | −0.0970878 | + | 0.995276i | \(0.530953\pi\) |
−0.995276 | + | 0.0970878i | \(0.969047\pi\) | |||||||
\(588\) | 5102.03 | + | 3142.69i | 0.357830 | + | 0.220412i | ||||
\(589\) | − | 332.960i | − | 0.0232927i | ||||||
\(590\) | −12693.5 | − | 7307.16i | −0.885734 | − | 0.509883i | ||||
\(591\) | 16576.7 | − | 8212.38i | 1.15376 | − | 0.571594i | ||||
\(592\) | −1007.71 | + | 3760.81i | −0.0699602 | + | 0.261095i | ||||
\(593\) | −16991.6 | + | 4552.87i | −1.17666 | + | 0.315285i | −0.793601 | − | 0.608439i | \(-0.791796\pi\) |
−0.383059 | + | 0.923724i | \(0.625130\pi\) | |||||||
\(594\) | 479.009 | − | 2479.02i | 0.0330875 | − | 0.171238i | ||||
\(595\) | −2952.40 | + | 7525.67i | −0.203423 | + | 0.518525i | ||||
\(596\) | − | 4123.37i | − | 0.283389i | ||||||
\(597\) | 953.015 | − | 191.376i | 0.0653339 | − | 0.0131198i | ||||
\(598\) | 6276.48 | + | 1681.78i | 0.429204 | + | 0.115005i | ||||
\(599\) | 4925.66 | + | 8531.50i | 0.335988 | + | 0.581949i | 0.983674 | − | 0.179959i | \(-0.0575964\pi\) |
−0.647686 | + | 0.761908i | \(0.724263\pi\) | |||||||
\(600\) | 13253.1 | + | 8772.08i | 0.901757 | + | 0.596865i | ||||
\(601\) | −16976.9 | −1.15225 | −0.576125 | − | 0.817361i | \(-0.695436\pi\) | ||||
−0.576125 | + | 0.817361i | \(0.695436\pi\) | |||||||
\(602\) | 9574.44 | + | 12033.8i | 0.648214 | + | 0.814719i | ||||
\(603\) | 1543.07 | − | 1193.02i | 0.104210 | − | 0.0805695i | ||||
\(604\) | −8534.64 | − | 4927.47i | −0.574949 | − | 0.331947i | ||||
\(605\) | 13624.4 | + | 3632.15i | 0.915556 | + | 0.244079i | ||||
\(606\) | −7065.40 | − | 14261.5i | −0.473617 | − | 0.955997i | ||||
\(607\) | −24570.7 | + | 6583.71i | −1.64299 | + | 0.440238i | −0.957639 | − | 0.287973i | \(-0.907019\pi\) |
−0.685353 | + | 0.728211i | \(0.740352\pi\) | |||||||
\(608\) | −314.787 | − | 314.787i | −0.0209972 | − | 0.0209972i | ||||
\(609\) | −21383.1 | − | 18030.9i | −1.42281 | − | 1.19975i | ||||
\(610\) | −18.8181 | − | 14850.2i | −0.00124905 | − | 0.985685i | ||||
\(611\) | 2799.32 | + | 1616.19i | 0.185349 | + | 0.107012i | ||||
\(612\) | 3279.26 | + | 1344.31i | 0.216595 | + | 0.0887915i | ||||
\(613\) | 20843.4 | + | 5584.97i | 1.37334 | + | 0.367985i | 0.868697 | − | 0.495343i | \(-0.164958\pi\) |
0.504642 | + | 0.863329i | \(0.331624\pi\) | |||||||
\(614\) | −66.1348 | + | 114.549i | −0.00434688 | + | 0.00752901i | ||||
\(615\) | 25049.3 | + | 1564.03i | 1.64241 | + | 0.102549i | ||||
\(616\) | 3044.51 | + | 2252.26i | 0.199135 | + | 0.147315i | ||||
\(617\) | 13368.2 | − | 13368.2i | 0.872260 | − | 0.872260i | −0.120458 | − | 0.992718i | \(-0.538436\pi\) |
0.992718 | + | 0.120458i | \(0.0384364\pi\) | |||||||
\(618\) | −1488.89 | + | 298.985i | −0.0969126 | + | 0.0194611i | ||||
\(619\) | 23998.4 | − | 13855.5i | 1.55828 | − | 0.899674i | 0.560860 | − | 0.827911i | \(-0.310471\pi\) |
0.997422 | − | 0.0717636i | \(-0.0228627\pi\) | |||||||
\(620\) | −1015.30 | + | 3808.45i | −0.0657669 | + | 0.246695i | ||||
\(621\) | −7868.12 | − | 6824.29i | −0.508433 | − | 0.440981i | ||||
\(622\) | 13955.3 | + | 13955.3i | 0.899609 | + | 0.899609i | ||||
\(623\) | 3442.49 | − | 2738.95i | 0.221381 | − | 0.176137i | ||||
\(624\) | −346.420 | + | 5437.42i | −0.0222242 | + | 0.348832i | ||||
\(625\) | 7743.81 | − | 13571.1i | 0.495604 | − | 0.868549i | ||||
\(626\) | 12612.0 | − | 7281.57i | 0.805237 | − | 0.464904i | ||||
\(627\) | 130.649 | + | 44.0837i | 0.00832159 | + | 0.00280787i | ||||
\(628\) | 1874.40 | + | 6995.36i | 0.119103 | + | 0.444499i | ||||
\(629\) | 5892.00 | 0.373497 | ||||||||
\(630\) | 10559.7 | + | 5783.98i | 0.667788 | + | 0.365776i | ||||
\(631\) | 12674.5 | 0.799623 | 0.399812 | − | 0.916597i | \(-0.369076\pi\) | ||||
0.399812 | + | 0.916597i | \(0.369076\pi\) | |||||||
\(632\) | −4432.55 | − | 16542.5i | −0.278983 | − | 1.04118i | ||||
\(633\) | 19522.0 | + | 6587.12i | 1.22580 | + | 0.413609i | ||||
\(634\) | 9093.04 | − | 5249.87i | 0.569607 | − | 0.328863i | ||||
\(635\) | −9493.64 | + | 16491.7i | −0.593297 | + | 1.03063i | ||||
\(636\) | −377.745 | + | 5929.11i | −0.0235512 | + | 0.369661i | ||||
\(637\) | 13932.0 | − | 489.823i | 0.866571 | − | 0.0304670i | ||||
\(638\) | −3698.72 | − | 3698.72i | −0.229520 | − | 0.229520i | ||||
\(639\) | 14873.1 | − | 19530.2i | 0.920766 | − | 1.20908i | ||||
\(640\) | 150.526 | + | 259.957i | 0.00929695 | + | 0.0160558i | ||||
\(641\) | −1239.74 | + | 715.766i | −0.0763914 | + | 0.0441046i | −0.537709 | − | 0.843130i | \(-0.680710\pi\) |
0.461318 | + | 0.887235i | \(0.347377\pi\) | |||||||
\(642\) | −18851.9 | + | 3785.68i | −1.15892 | + | 0.232724i | ||||
\(643\) | −6729.57 | + | 6729.57i | −0.412735 | + | 0.412735i | −0.882690 | − | 0.469955i | \(-0.844270\pi\) |
0.469955 | + | 0.882690i | \(0.344270\pi\) | |||||||
\(644\) | 4238.99 | − | 1843.76i | 0.259379 | − | 0.112818i | ||||
\(645\) | −14820.7 | − | 16794.7i | −0.904753 | − | 1.02526i | ||||
\(646\) | 133.494 | − | 231.219i | 0.00813043 | − | 0.0140823i | ||||
\(647\) | 5814.77 | + | 1558.06i | 0.353327 | + | 0.0946736i | 0.431117 | − | 0.902296i | \(-0.358120\pi\) |
−0.0777900 | + | 0.996970i | \(0.524786\pi\) | |||||||
\(648\) | 8805.97 | − | 15512.9i | 0.533844 | − | 0.940438i | ||||
\(649\) | 4402.35 | + | 2541.70i | 0.266267 | + | 0.153729i | ||||
\(650\) | 10941.0 | − | 27.7286i | 0.660215 | − | 0.00167324i | ||||
\(651\) | −1776.25 | + | 9933.03i | −0.106938 | + | 0.598012i | ||||
\(652\) | 1419.51 | + | 1419.51i | 0.0852643 | + | 0.0852643i | ||||
\(653\) | −11722.8 | + | 3141.13i | −0.702527 | + | 0.188242i | −0.592362 | − | 0.805672i | \(-0.701805\pi\) |
−0.110165 | + | 0.993913i | \(0.535138\pi\) | |||||||
\(654\) | 418.006 | + | 843.746i | 0.0249929 | + | 0.0504481i | ||||
\(655\) | −902.070 | + | 3383.72i | −0.0538119 | + | 0.201852i | ||||
\(656\) | −9652.44 | − | 5572.84i | −0.574488 | − | 0.331681i | ||||
\(657\) | −14563.1 | − | 18836.2i | −0.864782 | − | 1.11853i | ||||
\(658\) | −3137.16 | + | 469.232i | −0.185865 | + | 0.0278003i | ||||
\(659\) | −29410.6 | −1.73850 | −0.869252 | − | 0.494370i | \(-0.835399\pi\) | ||||
−0.869252 | + | 0.494370i | \(0.835399\pi\) | |||||||
\(660\) | −1359.96 | − | 902.627i | −0.0802068 | − | 0.0532344i | ||||
\(661\) | −12988.1 | − | 22496.0i | −0.764264 | − | 1.32374i | −0.940635 | − | 0.339420i | \(-0.889769\pi\) |
0.176371 | − | 0.984324i | \(-0.443564\pi\) | |||||||
\(662\) | 4114.04 | + | 1102.35i | 0.241536 | + | 0.0647193i | ||||
\(663\) | 8083.76 | − | 1623.31i | 0.473525 | − | 0.0950890i | ||||
\(664\) | 159.673i | 0.00933211i | ||||||||
\(665\) | −390.373 | + | 529.090i | −0.0227639 | + | 0.0308530i | ||||
\(666\) | 1113.62 | − | 8704.26i | 0.0647927 | − | 0.506431i | ||||
\(667\) | −20842.1 | + | 5584.63i | −1.20991 | + | 0.324194i | ||||
\(668\) | −1877.15 | + | 7005.63i | −0.108726 | + | 0.405772i | ||||
\(669\) | −14340.9 | + | 7104.71i | −0.828775 | + | 0.410589i | ||||
\(670\) | 452.310 | + | 1679.53i | 0.0260810 | + | 0.0968446i | ||||
\(671\) | 5154.11i | 0.296531i | ||||||||
\(672\) | 7711.57 | + | 11070.2i | 0.442679 | + | 0.635478i | ||||
\(673\) | −4699.66 | + | 4699.66i | −0.269181 | + | 0.269181i | −0.828770 | − | 0.559589i | \(-0.810959\pi\) |
0.559589 | + | 0.828770i | \(0.310959\pi\) | |||||||
\(674\) | 4292.05 | − | 7434.06i | 0.245287 | − | 0.424850i | ||||
\(675\) | −15790.1 | − | 7630.17i | −0.900387 | − | 0.435090i | ||||
\(676\) | 916.406 | + | 1587.26i | 0.0521396 | + | 0.0903085i | ||||
\(677\) | −2961.96 | − | 11054.2i | −0.168150 | − | 0.627543i | −0.997617 | − | 0.0689886i | \(-0.978023\pi\) |
0.829468 | − | 0.558555i | \(-0.188644\pi\) | |||||||
\(678\) | −2387.71 | + | 2101.69i | −0.135250 | + | 0.119049i | ||||
\(679\) | −1586.94 | − | 3648.54i | −0.0896926 | − | 0.206212i | ||||
\(680\) | −7542.87 | + | 7562.01i | −0.425376 | + | 0.426456i | ||||
\(681\) | −22668.9 | − | 15087.1i | −1.27558 | − | 0.848954i | ||||
\(682\) | −488.403 | + | 1822.74i | −0.0274222 | + | 0.102341i | ||||
\(683\) | 1712.34 | − | 6390.55i | 0.0959311 | − | 0.358020i | −0.901228 | − | 0.433346i | \(-0.857333\pi\) |
0.997159 | + | 0.0753257i | \(0.0239996\pi\) | |||||||
\(684\) | 229.330 | + | 174.645i | 0.0128197 | + | 0.00976274i | ||||
\(685\) | 29.8754 | + | 23576.1i | 0.00166640 | + | 1.31503i | ||||
\(686\) | −10399.5 | + | 8888.44i | −0.578799 | + | 0.494697i | ||||
\(687\) | −5673.06 | − | 6445.11i | −0.315052 | − | 0.357928i | ||||
\(688\) | 2574.50 | + | 9608.15i | 0.142662 | + | 0.532423i | ||||
\(689\) | 6910.82 | + | 11969.9i | 0.382121 | + | 0.661853i | ||||
\(690\) | 8317.40 | − | 4133.72i | 0.458896 | − | 0.228069i | ||||
\(691\) | 3190.17 | − | 5525.54i | 0.175629 | − | 0.304199i | −0.764750 | − | 0.644328i | \(-0.777137\pi\) |
0.940379 | + | 0.340129i | \(0.110471\pi\) | |||||||
\(692\) | 7237.59 | − | 7237.59i | 0.397590 | − | 0.397590i | ||||
\(693\) | −3662.42 | − | 2012.10i | −0.200756 | − | 0.110294i | ||||
\(694\) | − | 16236.5i | − | 0.888083i | ||||||
\(695\) | 17539.6 | − | 4723.54i | 0.957285 | − | 0.257804i | ||||
\(696\) | −16405.3 | − | 33114.0i | −0.893448 | − | 1.80343i | ||||
\(697\) | −4365.44 | + | 16292.0i | −0.237235 | + | 0.885373i | ||||
\(698\) | −7893.45 | + | 2115.04i | −0.428039 | + | 0.114693i | ||||
\(699\) | −12986.6 | − | 827.380i | −0.702716 | − | 0.0447702i | ||||
\(700\) | 6078.51 | − | 4861.45i | 0.328209 | − | 0.262494i | ||||
\(701\) | − | 14847.9i | − | 0.799998i | −0.916516 | − | 0.399999i | \(-0.869011\pi\) | ||
0.916516 | − | 0.399999i | \(-0.130989\pi\) | |||||||
\(702\) | −870.235 | − | 12249.0i | −0.0467876 | − | 0.658557i | ||||
\(703\) | 462.895 | + | 124.032i | 0.0248342 | + | 0.00665429i | ||||
\(704\) | 2123.89 | + | 3678.69i | 0.113703 | + | 0.196940i | ||||
\(705\) | 4528.73 | − | 915.390i | 0.241932 | − | 0.0489015i | ||||
\(706\) | 1781.86 | 0.0949877 | ||||||||
\(707\) | −26051.2 | + | 3896.54i | −1.38580 | + | 0.207276i | ||||
\(708\) | 7021.53 | + | 7977.09i | 0.372719 | + | 0.423443i | ||||
\(709\) | −19271.7 | − | 11126.5i | −1.02083 | − | 0.589374i | −0.106483 | − | 0.994315i | \(-0.533959\pi\) |
−0.914343 | + | 0.404941i | \(0.867292\pi\) | |||||||
\(710\) | 10969.8 | + | 18944.8i | 0.579846 | + | 1.00139i | ||||
\(711\) | 7295.42 | + | 17432.4i | 0.384809 | + | 0.919502i | ||||
\(712\) | 5614.17 | − | 1504.31i | 0.295505 | − | 0.0791804i | ||||
\(713\) | 5504.25 | + | 5504.25i | 0.289111 | + | 0.289111i | ||||
\(714\) | −5215.95 | + | 6185.67i | −0.273392 | + | 0.324220i | ||||
\(715\) | −3797.32 | + | 4.81193i | −0.198618 | + | 0.000251687i | ||||
\(716\) | −4003.56 | − | 2311.46i | −0.208967 | − | 0.120647i | ||||
\(717\) | 19138.5 | + | 6457.70i | 0.996848 | + | 0.336356i | ||||
\(718\) | 2656.48 | + | 711.802i | 0.138077 | + | 0.0369975i | ||||
\(719\) | 9081.53 | − | 15729.7i | 0.471049 | − | 0.815880i | −0.528403 | − | 0.848994i | \(-0.677209\pi\) |
0.999452 | + | 0.0331134i | \(0.0105423\pi\) | |||||||
\(720\) | 4771.32 | + | 6155.19i | 0.246968 | + | 0.318598i | ||||
\(721\) | −284.224 | + | 2497.23i | −0.0146810 | + | 0.128990i | ||||
\(722\) | −10429.6 | + | 10429.6i | −0.537601 | + | 0.537601i | ||||
\(723\) | −5172.83 | − | 25759.7i | −0.266085 | − | 1.32506i | ||||
\(724\) | −5865.78 | + | 3386.61i | −0.301105 | + | 0.173843i | ||||
\(725\) | −31417.8 | + | 18245.4i | −1.60942 | + | 0.934644i | ||||
\(726\) | 11748.7 | + | 7819.22i | 0.600597 | + | 0.399722i | ||||
\(727\) | 1006.33 | + | 1006.33i | 0.0513379 | + | 0.0513379i | 0.732310 | − | 0.680972i | \(-0.238442\pi\) |
−0.680972 | + | 0.732310i | \(0.738442\pi\) | |||||||
\(728\) | 17137.7 | + | 6748.36i | 0.872478 | + | 0.343559i | ||||
\(729\) | −7332.73 | + | 18266.1i | −0.372541 | + | 0.928016i | ||||
\(730\) | 20501.9 | − | 5521.34i | 1.03947 | − | 0.279937i | ||||
\(731\) | 13036.2 | − | 7526.47i | 0.659592 | − | 0.380816i | ||||
\(732\) | −3444.86 | + | 10209.4i | −0.173942 | + | 0.515508i | ||||
\(733\) | 8287.92 | + | 30930.9i | 0.417628 | + | 1.55861i | 0.779513 | + | 0.626386i | \(0.215467\pi\) |
−0.361885 | + | 0.932223i | \(0.617867\pi\) | |||||||
\(734\) | 4988.41 | 0.250852 | ||||||||
\(735\) | 14468.3 | − | 13701.6i | 0.726085 | − | 0.687605i | ||||
\(736\) | 10407.7 | 0.521238 | ||||||||
\(737\) | −156.246 | − | 583.117i | −0.00780921 | − | 0.0291444i | ||||
\(738\) | 23243.1 | + | 9528.35i | 1.15934 | + | 0.475262i | ||||
\(739\) | 172.666 | − | 99.6886i | 0.00859487 | − | 0.00496225i | −0.495696 | − | 0.868496i | \(-0.665087\pi\) |
0.504291 | + | 0.863534i | \(0.331754\pi\) | |||||||
\(740\) | −4916.45 | − | 2830.21i | −0.244233 | − | 0.140596i | ||||
\(741\) | 669.259 | + | 42.6387i | 0.0331793 | + | 0.00211386i | ||||
\(742\) | −12620.5 | − | 4969.62i | −0.624412 | − | 0.245877i | ||||
\(743\) | 8580.29 | + | 8580.29i | 0.423661 | + | 0.423661i | 0.886462 | − | 0.462801i | \(-0.153156\pi\) |
−0.462801 | + | 0.886462i | \(0.653156\pi\) | |||||||
\(744\) | −7386.50 | + | 11098.5i | −0.363982 | + | 0.546896i | ||||
\(745\) | −13249.0 | − | 3532.07i | −0.651552 | − | 0.173698i | ||||
\(746\) | −10918.8 | + | 6303.97i | −0.535879 | + | 0.309390i | ||||
\(747\) | −23.6348 | − | 174.596i | −0.00115763 | − | 0.00855170i | ||||
\(748\) | 775.645 | − | 775.645i | 0.0379150 | − | 0.0379150i | ||||
\(749\) | −3598.76 | + | 31619.3i | −0.175562 | + | 1.54251i | ||||
\(750\) | 11699.7 | − | 10377.4i | 0.569619 | − | 0.505241i | ||||
\(751\) | 11424.7 | − | 19788.2i | 0.555118 | − | 0.961492i | −0.442777 | − | 0.896632i | \(-0.646007\pi\) |
0.997894 | − | 0.0648600i | \(-0.0206601\pi\) | |||||||
\(752\) | −1981.90 | − | 531.049i | −0.0961071 | − | 0.0257518i | ||||
\(753\) | 1916.86 | − | 5680.93i | 0.0927678 | − | 0.274933i | ||||
\(754\) | −22031.8 | − | 12720.1i | −1.06412 | − | 0.614373i | ||||
\(755\) | −23143.5 | + | 23202.2i | −1.11560 | + | 1.11843i | ||||
\(756\) | −5909.81 | − | 6433.50i | −0.284309 | − | 0.309503i | ||||
\(757\) | 4300.25 | + | 4300.25i | 0.206467 | + | 0.206467i | 0.802764 | − | 0.596297i | \(-0.203362\pi\) |
−0.596297 | + | 0.802764i | \(0.703362\pi\) | |||||||
\(758\) | 13465.6 | − | 3608.09i | 0.645239 | − | 0.172891i | ||||
\(759\) | −2888.56 | + | 1431.04i | −0.138140 | + | 0.0684368i | ||||
\(760\) | −751.780 | + | 435.312i | −0.0358815 | + | 0.0207769i | ||||
\(761\) | 26668.9 | + | 15397.3i | 1.27036 | + | 0.733445i | 0.975056 | − | 0.221958i | \(-0.0712447\pi\) |
0.295307 | + | 0.955402i | \(0.404578\pi\) | |||||||
\(762\) | −14296.6 | + | 12584.0i | −0.679672 | + | 0.598255i | ||||
\(763\) | 1541.25 | − | 230.529i | 0.0731286 | − | 0.0109380i | ||||
\(764\) | −11275.4 | −0.533937 | ||||||||
\(765\) | 7128.47 | − | 9385.22i | 0.336903 | − | 0.443560i | ||||
\(766\) | 9008.25 | + | 15602.7i | 0.424910 | + | 0.735966i | ||||
\(767\) | 23880.9 | + | 6398.86i | 1.12424 | + | 0.301238i | ||||
\(768\) | 4219.27 | + | 21011.2i | 0.198242 | + | 0.987208i | ||||
\(769\) | − | 23078.9i | − | 1.08225i | −0.840943 | − | 0.541123i | \(-0.817999\pi\) | ||
0.840943 | − | 0.541123i | \(-0.182001\pi\) | |||||||
\(770\) | 2913.14 | − | 2323.81i | 0.136341 | − | 0.108759i | ||||
\(771\) | −1283.84 | + | 20151.3i | −0.0599695 | + | 0.941284i | ||||
\(772\) | 14318.1 | − | 3836.53i | 0.667513 | − | 0.178860i | ||||
\(773\) | 452.866 | − | 1690.12i | 0.0210717 | − | 0.0786408i | −0.954589 | − | 0.297925i | \(-0.903705\pi\) |
0.975661 | + | 0.219284i | \(0.0703722\pi\) | |||||||
\(774\) | −8654.93 | − | 20681.0i | −0.401932 | − | 0.960416i | ||||
\(775\) | 11367.4 | + | 6524.63i | 0.526877 | + | 0.302415i | ||||
\(776\) | − | 5256.72i | − | 0.243177i | ||||||
\(777\) | −13147.6 | − | 6169.61i | −0.607038 | − | 0.284856i | ||||
\(778\) | −9614.63 | + | 9614.63i | −0.443061 | + | 0.443061i | ||||
\(779\) | −685.926 | + | 1188.06i | −0.0315480 | + | 0.0546427i | ||||
\(780\) | −7525.07 | − | 2528.49i | −0.345437 | − | 0.116070i | ||||
\(781\) | −3799.00 | − | 6580.06i | −0.174057 | − | 0.301476i | ||||
\(782\) | 1615.51 | + | 6029.16i | 0.0738753 | + | 0.275706i | ||||
\(783\) | 22840.0 | + | 33780.5i | 1.04244 | + | 1.54178i | ||||
\(784\) | −8461.79 | + | 2589.22i | −0.385468 | + | 0.117949i | ||||
\(785\) | 24082.8 | − | 30.5175i | 1.09497 | − | 0.00138753i | ||||
\(786\) | −1941.96 | + | 2917.86i | −0.0881263 | + | 0.132413i | ||||
\(787\) | 4790.55 | − | 17878.6i | 0.216982 | − | 0.809787i | −0.768478 | − | 0.639877i | \(-0.778985\pi\) |
0.985459 | − | 0.169911i | \(-0.0543479\pi\) | |||||||
\(788\) | 3098.05 | − | 11562.1i | 0.140055 | − | 0.522692i | ||||
\(789\) | −13246.8 | + | 19903.8i | −0.597716 | + | 0.898090i | ||||
\(790\) | −16852.0 | + | 21.3547i | −0.758947 | + | 0.000961731i | ||||
\(791\) | 2099.80 | + | 4827.64i | 0.0943870 | + | 0.217005i | ||||
\(792\) | −3376.94 | − | 4367.80i | −0.151508 | − | 0.195964i | ||||
\(793\) | 6487.88 | + | 24213.1i | 0.290531 | + | 1.08428i | ||||
\(794\) | −3273.10 | − | 5669.18i | −0.146295 | − | 0.253390i | ||||
\(795\) | 18727.5 | + | 6292.62i | 0.835469 | + | 0.280725i | ||||
\(796\) | 314.476 | − | 544.688i | 0.0140029 | − | 0.0242537i | ||||
\(797\) | 18288.2 | − | 18288.2i | 0.812800 | − | 0.812800i | −0.172253 | − | 0.985053i | \(-0.555105\pi\) |
0.985053 | + | 0.172253i | \(0.0551047\pi\) | |||||||
\(798\) | −539.996 | + | 376.166i | −0.0239545 | + | 0.0166869i | ||||
\(799\) | 3105.01i | 0.137481i | ||||||||
\(800\) | 16915.5 | − | 4578.47i | 0.747566 | − | 0.202342i | ||||
\(801\) | −5916.18 | + | 2475.91i | −0.260971 | + | 0.109216i | ||||
\(802\) | −678.787 | + | 2533.27i | −0.0298863 | + | 0.111537i | ||||
\(803\) | −7118.09 | + | 1907.29i | −0.312817 | + | 0.0838191i | ||||
\(804\) | 80.2424 | − | 1259.49i | 0.00351981 | − | 0.0552472i | ||||
\(805\) | −2293.18 | − | 15199.9i | −0.100402 | − | 0.665498i | ||||
\(806\) | 9177.71i | 0.401081i | ||||||||
\(807\) | 719.391 | + | 3582.43i | 0.0313801 | + | 0.156267i | ||||
\(808\) | −33616.2 | − | 9007.43i | −1.46363 | − | 0.392178i | ||||
\(809\) | 2260.25 | + | 3914.87i | 0.0982277 | + | 0.170135i | 0.910951 | − | 0.412514i | \(-0.135349\pi\) |
−0.812723 | + | 0.582650i | \(0.802016\pi\) | |||||||
\(810\) | −12517.5 | − | 12304.8i | −0.542987 | − | 0.533759i | ||||
\(811\) | 23284.7 | 1.00818 | 0.504091 | − | 0.863650i | \(-0.331827\pi\) | ||||
0.504091 | + | 0.863650i | \(0.331827\pi\) | |||||||
\(812\) | −17899.0 | + | 2677.20i | −0.773563 | + | 0.115703i | ||||
\(813\) | −2174.96 | + | 1914.43i | −0.0938245 | + | 0.0825854i | ||||
\(814\) | −2352.12 | − | 1358.00i | −0.101280 | − | 0.0584739i | ||||
\(815\) | 5777.05 | − | 3345.15i | 0.248296 | − | 0.143774i | ||||
\(816\) | −4689.78 | + | 2323.40i | −0.201195 | + | 0.0996754i | ||||
\(817\) | 1182.61 | − | 316.879i | 0.0506416 | − | 0.0135694i | ||||
\(818\) | −11988.8 | − | 11988.8i | −0.512442 | − | 0.512442i | ||||
\(819\) | −19738.2 | − | 4842.33i | −0.842134 | − | 0.206599i | ||||
\(820\) | 11468.5 | − | 11497.6i | 0.488412 | − | 0.489651i | ||||
\(821\) | −1284.72 | − | 741.731i | −0.0546125 | − | 0.0315306i | 0.472445 | − | 0.881360i | \(-0.343371\pi\) |
−0.527058 | + | 0.849830i | \(0.676705\pi\) | |||||||
\(822\) | −7544.23 | + | 22358.6i | −0.320116 | + | 0.948717i | ||||
\(823\) | 14122.3 | + | 3784.06i | 0.598144 | + | 0.160272i | 0.545173 | − | 0.838324i | \(-0.316464\pi\) |
0.0529715 | + | 0.998596i | \(0.483131\pi\) | |||||||
\(824\) | −1660.33 | + | 2875.78i | −0.0701947 | + | 0.121581i | ||||
\(825\) | −4065.22 | + | 3596.58i | −0.171555 | + | 0.151778i | ||||
\(826\) | −22248.5 | + | 9677.06i | −0.937197 | + | 0.407637i | ||||
\(827\) | 3120.34 | − | 3120.34i | 0.131203 | − | 0.131203i | −0.638456 | − | 0.769659i | \(-0.720426\pi\) |
0.769659 | + | 0.638456i | \(0.220426\pi\) | |||||||
\(828\) | −6678.22 | + | 904.022i | −0.280295 | + | 0.0379432i | ||||
\(829\) | −5252.34 | + | 3032.44i | −0.220050 | + | 0.127046i | −0.605973 | − | 0.795485i | \(-0.707216\pi\) |
0.385923 | + | 0.922531i | \(0.373883\pi\) | |||||||
\(830\) | 151.816 | + | 40.4729i | 0.00634893 | + | 0.00169257i | ||||
\(831\) | −174.337 | + | 261.948i | −0.00727760 | + | 0.0109349i | ||||
\(832\) | 14608.3 | + | 14608.3i | 0.608716 | + | 0.608716i | ||||
\(833\) | 7099.00 | + | 11354.8i | 0.295277 | + | 0.472293i | ||||
\(834\) | 18143.8 | + | 1155.95i | 0.753321 | + | 0.0479943i | ||||
\(835\) | 20902.2 | + | 12032.6i | 0.866287 | + | 0.498688i | ||||
\(836\) | 77.2653 | − | 44.6092i | 0.00319650 | − | 0.00184550i | ||||
\(837\) | 6434.02 | − | 13229.1i | 0.265702 | − | 0.546312i | ||||
\(838\) | 4943.27 | + | 18448.6i | 0.203774 | + | 0.760495i | ||||
\(839\) | −648.212 | −0.0266731 | −0.0133366 | − | 0.999911i | \(-0.504245\pi\) | ||||
−0.0133366 | + | 0.999911i | \(0.504245\pi\) | |||||||
\(840\) | 24749.7 | − | 8975.89i | 1.01660 | − | 0.368688i | ||||
\(841\) | 60089.2 | 2.46378 | ||||||||
\(842\) | 474.238 | + | 1769.88i | 0.0194101 | + | 0.0724396i | ||||
\(843\) | −11318.3 | + | 33543.6i | −0.462422 | + | 1.37046i | ||||
\(844\) | 11545.2 | − | 6665.64i | 0.470857 | − | 0.271849i | ||||
\(845\) | 5885.11 | − | 1584.91i | 0.239590 | − | 0.0645236i | ||||
\(846\) | 4587.04 | + | 586.865i | 0.186413 | + | 0.0238497i | ||||
\(847\) | 18277.7 | − | 14542.3i | 0.741477 | − | 0.589941i | ||||
\(848\) | −6203.84 | − | 6203.84i | −0.251227 | − | 0.251227i | ||||
\(849\) | 9597.25 | + | 6387.37i | 0.387959 | + | 0.258203i | ||||
\(850\) | 5277.99 | + | 9088.47i | 0.212981 | + | 0.366744i | ||||
\(851\) | −9702.65 | + | 5601.83i | −0.390837 | + | 0.225650i | ||||
\(852\) | −3127.26 | − | 15573.1i | −0.125749 | − | 0.626205i | ||||
\(853\) | 23303.7 | − | 23303.7i | 0.935408 | − | 0.935408i | −0.0626286 | − | 0.998037i | \(-0.519948\pi\) |
0.998037 | + | 0.0626286i | \(0.0199484\pi\) | |||||||
\(854\) | −19776.2 | − | 14630.0i | −0.792420 | − | 0.586214i | ||||
\(855\) | 757.604 | − | 587.273i | 0.0303035 | − | 0.0234904i | ||||
\(856\) | −21022.7 | + | 36412.4i | −0.839418 | + | 1.45391i | ||||
\(857\) | −17010.8 | − | 4558.02i | −0.678036 | − | 0.181679i | −0.0966640 | − | 0.995317i | \(-0.530817\pi\) |
−0.581372 | + | 0.813638i | \(0.697484\pi\) | |||||||
\(858\) | −3601.22 | − | 1215.12i | −0.143291 | − | 0.0483492i | ||||
\(859\) | −6255.26 | − | 3611.48i | −0.248460 | − | 0.143448i | 0.370599 | − | 0.928793i | \(-0.379152\pi\) |
−0.619059 | + | 0.785345i | \(0.712486\pi\) | |||||||
\(860\) | −14493.1 | + | 18.3656i | −0.574664 | + | 0.000728210i | ||||
\(861\) | 26800.9 | − | 31783.5i | 1.06083 | − | 1.25805i | ||||
\(862\) | −16886.9 | − | 16886.9i | −0.667249 | − | 0.667249i | ||||
\(863\) | 10014.4 | − | 2683.35i | 0.395011 | − | 0.105843i | −0.0558454 | − | 0.998439i | \(-0.517785\pi\) |
0.450856 | + | 0.892597i | \(0.351119\pi\) | |||||||
\(864\) | −6424.16 | − | 18589.9i | −0.252956 | − | 0.731990i | ||||
\(865\) | −17055.8 | − | 29455.2i | −0.670420 | − | 1.15781i | ||||
\(866\) | −13350.6 | − | 7707.97i | −0.523870 | − | 0.302456i | ||||
\(867\) | −11634.2 | − | 13217.5i | −0.455730 | − | 0.517751i | ||||
\(868\) | 4065.03 | + | 5109.20i | 0.158959 | + | 0.199790i | ||||
\(869\) | 5848.89 | 0.228320 | ||||||||
\(870\) | −35642.9 | + | 7204.48i | −1.38897 | + | 0.280753i | ||||
\(871\) | −1468.03 | − | 2542.70i | −0.0571094 | − | 0.0989163i | ||||
\(872\) | 1988.82 | + | 532.902i | 0.0772360 | + | 0.0206953i | ||||
\(873\) | 778.099 | + | 5748.00i | 0.0301657 | + | 0.222841i | ||||
\(874\) | 507.679i | 0.0196482i | ||||||||
\(875\) | −10413.7 | − | 23695.5i | −0.402341 | − | 0.915490i | ||||
\(876\) | −15374.5 | − | 979.516i | −0.592988 | − | 0.0377794i | ||||
\(877\) | −35896.3 | + | 9618.37i | −1.38213 | + | 0.370341i | −0.871895 | − | 0.489692i | \(-0.837109\pi\) |
−0.510238 | + | 0.860034i | \(0.670443\pi\) | |||||||
\(878\) | 7904.20 | − | 29498.9i | 0.303820 | − | 1.13387i | ||||
\(879\) | 21169.8 | + | 42731.4i | 0.812333 | + | 1.63970i | ||||
\(880\) | 2327.50 | − | 626.813i | 0.0891590 | − | 0.0240112i | ||||
\(881\) | − | 31749.0i | − | 1.21413i | −0.794652 | − | 0.607066i | \(-0.792346\pi\) | ||
0.794652 | − | 0.607066i | \(-0.207654\pi\) | |||||||
\(882\) | 18116.2 | − | 8341.24i | 0.691614 | − | 0.318440i | ||||
\(883\) | 3955.12 | − | 3955.12i | 0.150736 | − | 0.150736i | −0.627710 | − | 0.778447i | \(-0.716008\pi\) |
0.778447 | + | 0.627710i | \(0.216008\pi\) | |||||||
\(884\) | 2667.48 | − | 4620.20i | 0.101490 | − | 0.175785i | ||||
\(885\) | 31646.2 | − | 15728.1i | 1.20201 | − | 0.597393i | ||||
\(886\) | 2583.33 | + | 4474.46i | 0.0979556 | + | 0.169664i | ||||
\(887\) | −4874.49 | − | 18191.8i | −0.184520 | − | 0.688638i | −0.994733 | − | 0.102502i | \(-0.967315\pi\) |
0.810213 | − | 0.586136i | \(-0.199351\pi\) | |||||||
\(888\) | −12678.0 | − | 14403.4i | −0.479106 | − | 0.544308i | ||||
\(889\) | 12572.7 | + | 28905.8i | 0.474324 | + | 1.09052i | ||||
\(890\) | −7.24734 | − | 5719.21i | −0.000272957 | − | 0.215403i | ||||
\(891\) | 4339.06 | + | 4276.15i | 0.163147 | + | 0.160782i | ||||
\(892\) | −2680.19 | + | 10002.6i | −0.100605 | + | 0.375462i | ||||
\(893\) | −65.3636 | + | 243.940i | −0.00244939 | + | 0.00914126i | ||||
\(894\) | −11424.9 | − | 7603.76i | −0.427413 | − | 0.284461i | ||||
\(895\) | −10856.5 | + | 10884.1i | −0.405467 | + | 0.406496i | ||||
\(896\) | 494.408 | + | 56.2713i | 0.0184342 | + | 0.00209810i | ||||
\(897\) | −11768.6 | + | 10358.8i | −0.438061 | + | 0.385587i | ||||
\(898\) | −5513.15 | − | 20575.3i | −0.204873 | − | 0.764597i | ||||
\(899\) | −15238.1 | − | 26393.1i | −0.565315 | − | 0.979155i | ||||
\(900\) | −10456.4 | + | 4407.14i | −0.387273 | + | 0.163228i | ||||
\(901\) | −6638.52 | + | 11498.2i | −0.245462 | + | 0.425152i | ||||
\(902\) | 5497.72 | − | 5497.72i | 0.202942 | − | 0.202942i | ||||
\(903\) | −36970.6 | + | 3144.40i | −1.36246 | + | 0.115879i | ||||
\(904\) | 6955.54i | 0.255905i | ||||||||
\(905\) | 5857.07 | + | 21748.6i | 0.215133 | + | 0.798838i | ||||
\(906\) | −29391.4 | + | 14561.0i | −1.07777 | + | 0.533947i | ||||
\(907\) | −180.176 | + | 672.425i | −0.00659607 | + | 0.0246169i | −0.969145 | − | 0.246490i | \(-0.920723\pi\) |
0.962549 | + | 0.271106i | \(0.0873895\pi\) | |||||||
\(908\) | −17018.9 | + | 4560.20i | −0.622018 | + | 0.166669i | ||||
\(909\) | 38091.1 | + | 4873.37i | 1.38988 | + | 0.177821i | ||||
\(910\) | 10760.2 | − | 14583.8i | 0.391976 | − | 0.531263i | ||||
\(911\) | − | 50510.9i | − | 1.83699i | −0.395429 | − | 0.918497i | \(-0.629404\pi\) | ||
0.395429 | − | 0.918497i | \(-0.370596\pi\) | |||||||
\(912\) | −417.354 | + | 83.8093i | −0.0151535 | + | 0.00304299i | ||||
\(913\) | −52.6734 | − | 14.1138i | −0.00190935 | − | 0.000511609i | ||||
\(914\) | −7984.78 | − | 13830.0i | −0.288964 | − | 0.500500i | ||||
\(915\) | 29853.6 | + | 19814.3i | 1.07861 | + | 0.715890i | ||||
\(916\) | −5555.64 | −0.200397 | ||||||||
\(917\) | 3611.68 | + | 4539.40i | 0.130063 | + | 0.163472i | ||||
\(918\) | 9771.94 | − | 6607.10i | 0.351331 | − | 0.237546i | ||||
\(919\) | −17699.4 | − | 10218.8i | −0.635310 | − | 0.366796i | 0.147496 | − | 0.989063i | \(-0.452879\pi\) |
−0.782806 | + | 0.622266i | \(0.786212\pi\) | |||||||
\(920\) | 5231.63 | − | 19624.1i | 0.187480 | − | 0.703248i | ||||
\(921\) | −141.675 | − | 285.971i | −0.00506878 | − | 0.0102313i | ||||
\(922\) | 18258.7 | − | 4892.40i | 0.652188 | − | 0.174753i | ||||
\(923\) | −26129.8 | − | 26129.8i | −0.931824 | − | 0.931824i | ||||
\(924\) | −2542.99 | + | 918.613i | −0.0905393 | + | 0.0327058i | ||||
\(925\) | −13305.3 | + | 13372.9i | −0.472948 | + | 0.475351i | ||||
\(926\) | 32997.9 | + | 19051.4i | 1.17104 | + | 0.676098i | ||||
\(927\) | 1389.83 | − | 3390.30i | 0.0492427 | − | 0.120121i | ||||
\(928\) | −39358.9 | − | 10546.2i | −1.39226 | − | 0.373056i | ||||
\(929\) | 16850.7 | − | 29186.3i | 0.595106 | − | 1.03075i | −0.398426 | − | 0.917201i | \(-0.630443\pi\) |
0.993532 | − | 0.113554i | \(-0.0362234\pi\) | |||||||
\(930\) | 8680.09 | + | 9836.21i | 0.306055 | + | 0.346819i | ||||
\(931\) | 318.692 | + | 1041.51i | 0.0112188 | + | 0.0366639i | ||||
\(932\) | −5953.78 | + | 5953.78i | −0.209252 | + | 0.209252i | ||||
\(933\) | −46686.6 | + | 9375.18i | −1.63821 | + | 0.328971i | ||||
\(934\) | 12789.7 | − | 7384.11i | 0.448062 | − | 0.258689i | ||||
\(935\) | −1827.85 | − | 3156.68i | −0.0639327 | − | 0.110411i | ||||
\(936\) | −21362.3 | − | 16268.3i | −0.745994 | − | 0.568106i | ||||
\(937\) | −2926.02 | − | 2926.02i | −0.102016 | − | 0.102016i | 0.654257 | − | 0.756273i | \(-0.272982\pi\) |
−0.756273 | + | 0.654257i | \(0.772982\pi\) | |||||||
\(938\) | 2680.91 | + | 1055.67i | 0.0933206 | + | 0.0367472i | ||||
\(939\) | −2234.12 | + | 35066.9i | −0.0776442 | + | 1.21871i | ||||
\(940\) | 1491.49 | − | 2590.91i | 0.0517522 | − | 0.0899003i | ||||
\(941\) | −19618.7 | + | 11326.8i | −0.679650 | + | 0.392396i | −0.799723 | − | 0.600369i | \(-0.795020\pi\) |
0.120073 | + | 0.992765i | \(0.461687\pi\) | |||||||
\(942\) | 22839.1 | + | 7706.36i | 0.789955 | + | 0.266546i | ||||
\(943\) | −8300.90 | − | 30979.4i | −0.286654 | − | 1.06981i | ||||
\(944\) | −15693.6 | −0.541084 | ||||||||
\(945\) | −25734.2 | + | 13478.2i | −0.885854 | + | 0.463964i | ||||
\(946\) | −6938.84 | −0.238479 | ||||||||
\(947\) | 9993.75 | + | 37297.2i | 0.342928 | + | 1.27983i | 0.895014 | + | 0.446039i | \(0.147166\pi\) |
−0.552085 | + | 0.833788i | \(0.686168\pi\) | |||||||
\(948\) | 11585.7 | + | 3909.23i | 0.396925 | + | 0.133930i | ||||
\(949\) | −31038.7 | + | 17920.2i | −1.06170 | + | 0.612975i | ||||
\(950\) | 223.335 | + | 825.127i | 0.00762731 | + | 0.0281797i | ||||
\(951\) | −1610.76 | + | 25282.6i | −0.0549238 | + | 0.862086i | ||||
\(952\) | 2617.22 | + | 17498.1i | 0.0891016 | + | 0.595710i | ||||
\(953\) | 2991.47 | + | 2991.47i | 0.101682 | + | 0.101682i | 0.756118 | − | 0.654435i | \(-0.227094\pi\) |
−0.654435 | + | 0.756118i | \(0.727094\pi\) | |||||||
\(954\) | 15731.6 | + | 11980.3i | 0.533890 | + | 0.406580i | ||||
\(955\) | −9658.46 | + | 36229.4i | −0.327267 | + | 1.22760i | ||||
\(956\) | 11318.4 | − | 6534.68i | 0.382911 | − | 0.221074i | ||||
\(957\) | 12373.8 | − | 2484.80i | 0.417962 | − | 0.0839313i | ||||
\(958\) | −12648.6 | + | 12648.6i | −0.426572 | + | 0.426572i | ||||
\(959\) | 31396.5 | + | 23226.4i | 1.05719 | + | 0.782086i | ||||
\(960\) | 29472.6 | + | 1840.21i | 0.990860 | + | 0.0618674i | ||||
\(961\) | 9398.25 | − | 16278.2i | 0.315473 | − | 0.546415i | ||||
\(962\) | −12759.2 | − | 3418.83i | −0.427624 | − | 0.114582i | ||||
\(963\) | 17597.7 | − | 42927.2i | 0.588865 | − | 1.43646i | ||||
\(964\) | −14722.8 | − | 8500.19i | −0.491897 | − | 0.283997i | ||||
\(965\) | −62.4632 | − | 49292.6i | −0.00208369 | − | 1.64434i | ||||
\(966\) | 2708.33 | − | 15145.3i | 0.0902060 | − | 0.504444i | ||||
\(967\) | −23350.7 | − | 23350.7i | −0.776533 | − | 0.776533i | 0.202706 | − | 0.979240i | \(-0.435026\pi\) |
−0.979240 | + | 0.202706i | \(0.935026\pi\) | |||||||
\(968\) | 29808.1 | − | 7987.07i | 0.989742 | − | 0.265200i | ||||
\(969\) | 285.973 | + | 577.236i | 0.00948067 | + | 0.0191367i | ||||
\(970\) | −4998.06 | − | 1332.44i | −0.165441 | − | 0.0441052i | ||||
\(971\) | 24636.6 | + | 14224.0i | 0.814239 | + | 0.470101i | 0.848426 | − | 0.529314i | \(-0.177551\pi\) |
−0.0341865 | + | 0.999415i | \(0.510884\pi\) | |||||||
\(972\) | 5736.90 | + | 11370.4i | 0.189312 | + | 0.375213i | ||||
\(973\) | 11024.5 | − | 27997.1i | 0.363237 | − | 0.922452i | ||||
\(974\) | −1784.05 | −0.0586905 | ||||||||
\(975\) | −14570.4 | + | 22013.3i | −0.478591 | + | 0.723066i | ||||
\(976\) | −7955.95 | − | 13780.1i | −0.260926 | − | 0.451937i | ||||
\(977\) | −15678.6 | − | 4201.06i | −0.513410 | − | 0.137568i | −0.00719348 | − | 0.999974i | \(-0.502290\pi\) |
−0.506217 | + | 0.862406i | \(0.668956\pi\) | |||||||
\(978\) | 6550.81 | − | 1315.47i | 0.214184 | − | 0.0430105i | ||||
\(979\) | 1984.99i | 0.0648012i | ||||||||
\(980\) | −469.352 | − | 12884.7i | −0.0152989 | − | 0.419988i | ||||
\(981\) | −2253.56 | − | 288.321i | −0.0733443 | − | 0.00938366i | ||||
\(982\) | 9933.22 | − | 2661.60i | 0.322792 | − | 0.0864918i | ||||
\(983\) | −4472.91 | + | 16693.1i | −0.145131 | + | 0.541636i | 0.854619 | + | 0.519256i | \(0.173791\pi\) |
−0.999750 | + | 0.0223796i | \(0.992876\pi\) | |||||||
\(984\) | 49220.2 | − | 24384.5i | 1.59459 | − | 0.789989i | ||||
\(985\) | −34496.9 | − | 19858.5i | −1.11590 | − | 0.642382i | ||||
\(986\) | − | 24437.7i | − | 0.789305i | ||||||
\(987\) | 3251.31 | − | 6928.64i | 0.104853 | − | 0.223446i | ||||
\(988\) | 306.826 | − | 306.826i | 0.00987998 | − | 0.00987998i | ||||
\(989\) | −14311.6 | + | 24788.4i | −0.460144 | + | 0.796993i | ||||
\(990\) | −5008.84 | + | 2103.65i | −0.160799 | + | 0.0675338i | ||||
\(991\) | −5263.37 | − | 9116.43i | −0.168715 | − | 0.292223i | 0.769253 | − | 0.638944i | \(-0.220628\pi\) |
−0.937968 | + | 0.346721i | \(0.887295\pi\) | |||||||
\(992\) | 3804.62 | + | 14199.0i | 0.121771 | + | 0.454455i | ||||
\(993\) | −7713.94 | + | 6789.89i | −0.246520 | + | 0.216990i | ||||
\(994\) | 36030.9 | + | 4100.88i | 1.14973 | + | 0.130857i | ||||
\(995\) | −1480.79 | − | 1477.04i | −0.0471800 | − | 0.0470605i | ||||
\(996\) | −94.9040 | − | 63.1625i | −0.00301923 | − | 0.00200942i | ||||
\(997\) | −5111.88 | + | 19077.8i | −0.162382 | + | 0.606018i | 0.835978 | + | 0.548764i | \(0.184901\pi\) |
−0.998360 | + | 0.0572545i | \(0.981765\pi\) | |||||||
\(998\) | −1221.11 | + | 4557.25i | −0.0387310 | + | 0.144546i | ||||
\(999\) | 15994.8 | + | 13872.9i | 0.506561 | + | 0.439357i |
(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 | 105.4.x.a.2.16 | ✓ | 176 | |
3.2 | odd | 2 | inner | 105.4.x.a.2.29 | yes | 176 | |
5.3 | odd | 4 | inner | 105.4.x.a.23.16 | yes | 176 | |
7.4 | even | 3 | inner | 105.4.x.a.32.29 | yes | 176 | |
15.8 | even | 4 | inner | 105.4.x.a.23.29 | yes | 176 | |
21.11 | odd | 6 | inner | 105.4.x.a.32.16 | yes | 176 | |
35.18 | odd | 12 | inner | 105.4.x.a.53.29 | yes | 176 | |
105.53 | even | 12 | inner | 105.4.x.a.53.16 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.x.a.2.16 | ✓ | 176 | 1.1 | even | 1 | trivial | |
105.4.x.a.2.29 | yes | 176 | 3.2 | odd | 2 | inner | |
105.4.x.a.23.16 | yes | 176 | 5.3 | odd | 4 | inner | |
105.4.x.a.23.29 | yes | 176 | 15.8 | even | 4 | inner | |
105.4.x.a.32.16 | yes | 176 | 21.11 | odd | 6 | inner | |
105.4.x.a.32.29 | yes | 176 | 7.4 | even | 3 | inner | |
105.4.x.a.53.16 | yes | 176 | 105.53 | even | 12 | inner | |
105.4.x.a.53.29 | yes | 176 | 35.18 | odd | 12 | inner |