Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.7 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.32 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.97620i | − | 1.48810i | −0.668124 | − | 0.744050i | \(-0.732902\pi\) | ||
0.668124 | − | 0.744050i | \(-0.267098\pi\) | |||||||
\(3\) | −0.474775 | + | 2.96219i | −0.158258 | + | 0.987398i | ||||
\(4\) | −4.85777 | −1.21444 | ||||||||
\(5\) | − | 3.00594i | − | 0.601188i | −0.953752 | − | 0.300594i | \(-0.902815\pi\) | ||
0.953752 | − | 0.300594i | \(-0.0971849\pi\) | |||||||
\(6\) | 8.81608 | + | 1.41303i | 1.46935 | + | 0.235504i | ||||
\(7\) | −3.67852 | −0.525503 | −0.262752 | − | 0.964864i | \(-0.584630\pi\) | ||||
−0.262752 | + | 0.964864i | \(0.584630\pi\) | |||||||
\(8\) | 2.55289i | 0.319111i | ||||||||
\(9\) | −8.54918 | − | 2.81275i | −0.949909 | − | 0.312528i | ||||
\(10\) | −8.94628 | −0.894628 | ||||||||
\(11\) | − | 14.3274i | − | 1.30249i | −0.758865 | − | 0.651247i | \(-0.774246\pi\) | ||
0.758865 | − | 0.651247i | \(-0.225754\pi\) | |||||||
\(12\) | 2.30635 | − | 14.3896i | 0.192196 | − | 1.19914i | ||||
\(13\) | −8.01457 | −0.616505 | −0.308253 | − | 0.951305i | \(-0.599744\pi\) | ||||
−0.308253 | + | 0.951305i | \(0.599744\pi\) | |||||||
\(14\) | 10.9480i | 0.782001i | ||||||||
\(15\) | 8.90417 | + | 1.42715i | 0.593611 | + | 0.0951430i | ||||
\(16\) | −11.8332 | −0.739572 | ||||||||
\(17\) | − | 0.828304i | − | 0.0487238i | −0.999703 | − | 0.0243619i | \(-0.992245\pi\) | ||
0.999703 | − | 0.0243619i | \(-0.00775540\pi\) | |||||||
\(18\) | −8.37131 | + | 25.4441i | −0.465073 | + | 1.41356i | ||||
\(19\) | −25.2540 | −1.32916 | −0.664580 | − | 0.747217i | \(-0.731389\pi\) | ||||
−0.664580 | + | 0.747217i | \(0.731389\pi\) | |||||||
\(20\) | 14.6022i | 0.730108i | ||||||||
\(21\) | 1.74647 | − | 10.8965i | 0.0831653 | − | 0.518881i | ||||
\(22\) | −42.6413 | −1.93824 | ||||||||
\(23\) | − | 7.83517i | − | 0.340660i | −0.985387 | − | 0.170330i | \(-0.945517\pi\) | ||
0.985387 | − | 0.170330i | \(-0.0544833\pi\) | |||||||
\(24\) | −7.56216 | − | 1.21205i | −0.315090 | − | 0.0505021i | ||||
\(25\) | 15.9643 | 0.638573 | ||||||||
\(26\) | 23.8530i | 0.917421i | ||||||||
\(27\) | 12.3909 | − | 23.9889i | 0.458921 | − | 0.888477i | ||||
\(28\) | 17.8694 | 0.638193 | ||||||||
\(29\) | 2.34238i | 0.0807717i | 0.999184 | + | 0.0403858i | \(0.0128587\pi\) | ||||
−0.999184 | + | 0.0403858i | \(0.987141\pi\) | |||||||
\(30\) | 4.24747 | − | 26.5006i | 0.141582 | − | 0.883353i | ||||
\(31\) | 25.4893 | 0.822234 | 0.411117 | − | 0.911583i | \(-0.365139\pi\) | ||||
0.411117 | + | 0.911583i | \(0.365139\pi\) | |||||||
\(32\) | 45.4294i | 1.41967i | ||||||||
\(33\) | 42.4407 | + | 6.80232i | 1.28608 | + | 0.206131i | ||||
\(34\) | −2.46520 | −0.0725059 | ||||||||
\(35\) | 11.0574i | 0.315926i | ||||||||
\(36\) | 41.5299 | + | 13.6637i | 1.15361 | + | 0.379547i | ||||
\(37\) | −0.422862 | −0.0114287 | −0.00571434 | − | 0.999984i | \(-0.501819\pi\) | ||||
−0.00571434 | + | 0.999984i | \(0.501819\pi\) | |||||||
\(38\) | 75.1611i | 1.97792i | ||||||||
\(39\) | 3.80512 | − | 23.7407i | 0.0975671 | − | 0.608736i | ||||
\(40\) | 7.67384 | 0.191846 | ||||||||
\(41\) | − | 6.28936i | − | 0.153399i | −0.997054 | − | 0.0766995i | \(-0.975562\pi\) | ||
0.997054 | − | 0.0766995i | \(-0.0244382\pi\) | |||||||
\(42\) | −32.4301 | − | 5.19785i | −0.772146 | − | 0.123758i | ||||
\(43\) | 48.4134 | 1.12589 | 0.562946 | − | 0.826494i | \(-0.309668\pi\) | ||||
0.562946 | + | 0.826494i | \(0.309668\pi\) | |||||||
\(44\) | 69.5994i | 1.58180i | ||||||||
\(45\) | −8.45496 | + | 25.6983i | −0.187888 | + | 0.571073i | ||||
\(46\) | −23.3190 | −0.506936 | ||||||||
\(47\) | − | 63.1254i | − | 1.34309i | −0.740962 | − | 0.671547i | \(-0.765630\pi\) | ||
0.740962 | − | 0.671547i | \(-0.234370\pi\) | |||||||
\(48\) | 5.61809 | − | 35.0521i | 0.117044 | − | 0.730252i | ||||
\(49\) | −35.4685 | −0.723846 | ||||||||
\(50\) | − | 47.5131i | − | 0.950261i | ||||||
\(51\) | 2.45360 | + | 0.393258i | 0.0481098 | + | 0.00771095i | ||||
\(52\) | 38.9329 | 0.748710 | ||||||||
\(53\) | 24.6229i | 0.464583i | 0.972646 | + | 0.232291i | \(0.0746223\pi\) | ||||
−0.972646 | + | 0.232291i | \(0.925378\pi\) | |||||||
\(54\) | −71.3957 | − | 36.8777i | −1.32214 | − | 0.682920i | ||||
\(55\) | −43.0674 | −0.783044 | ||||||||
\(56\) | − | 9.39087i | − | 0.167694i | ||||||
\(57\) | 11.9900 | − | 74.8073i | 0.210351 | − | 1.31241i | ||||
\(58\) | 6.97139 | 0.120196 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | −43.2544 | − | 6.93274i | −0.720907 | − | 0.115546i | ||||
\(61\) | 73.6703 | 1.20771 | 0.603855 | − | 0.797094i | \(-0.293630\pi\) | ||||
0.603855 | + | 0.797094i | \(0.293630\pi\) | |||||||
\(62\) | − | 75.8611i | − | 1.22357i | ||||||
\(63\) | 31.4483 | + | 10.3468i | 0.499180 | + | 0.164234i | ||||
\(64\) | 87.8744 | 1.37304 | ||||||||
\(65\) | 24.0913i | 0.370635i | ||||||||
\(66\) | 20.2451 | − | 126.312i | 0.306743 | − | 1.91382i | ||||
\(67\) | −100.685 | −1.50276 | −0.751379 | − | 0.659871i | \(-0.770611\pi\) | ||||
−0.751379 | + | 0.659871i | \(0.770611\pi\) | |||||||
\(68\) | 4.02371i | 0.0591722i | ||||||||
\(69\) | 23.2093 | + | 3.71995i | 0.336367 | + | 0.0539123i | ||||
\(70\) | 32.9091 | 0.470130 | ||||||||
\(71\) | − | 47.9530i | − | 0.675395i | −0.941255 | − | 0.337697i | \(-0.890352\pi\) | ||
0.941255 | − | 0.337697i | \(-0.109648\pi\) | |||||||
\(72\) | 7.18065 | − | 21.8251i | 0.0997313 | − | 0.303127i | ||||
\(73\) | 130.417 | 1.78654 | 0.893268 | − | 0.449524i | \(-0.148406\pi\) | ||||
0.893268 | + | 0.449524i | \(0.148406\pi\) | |||||||
\(74\) | 1.25852i | 0.0170070i | ||||||||
\(75\) | −7.57947 | + | 47.2894i | −0.101060 | + | 0.630526i | ||||
\(76\) | 122.678 | 1.61419 | ||||||||
\(77\) | 52.7038i | 0.684465i | ||||||||
\(78\) | −70.6571 | − | 11.3248i | −0.905860 | − | 0.145190i | ||||
\(79\) | −76.0894 | −0.963156 | −0.481578 | − | 0.876403i | \(-0.659936\pi\) | ||||
−0.481578 | + | 0.876403i | \(0.659936\pi\) | |||||||
\(80\) | 35.5697i | 0.444622i | ||||||||
\(81\) | 65.1768 | + | 48.0934i | 0.804652 | + | 0.593746i | ||||
\(82\) | −18.7184 | −0.228273 | ||||||||
\(83\) | − | 142.865i | − | 1.72127i | −0.509226 | − | 0.860633i | \(-0.670068\pi\) | ||
0.509226 | − | 0.860633i | \(-0.329932\pi\) | |||||||
\(84\) | −8.48395 | + | 52.9326i | −0.100999 | + | 0.630151i | ||||
\(85\) | −2.48983 | −0.0292921 | ||||||||
\(86\) | − | 144.088i | − | 1.67544i | ||||||
\(87\) | −6.93858 | − | 1.11210i | −0.0797538 | − | 0.0127828i | ||||
\(88\) | 36.5764 | 0.415641 | ||||||||
\(89\) | 73.4347i | 0.825109i | 0.910933 | + | 0.412554i | \(0.135363\pi\) | ||||
−0.910933 | + | 0.412554i | \(0.864637\pi\) | |||||||
\(90\) | 76.4833 | + | 25.1637i | 0.849814 | + | 0.279596i | ||||
\(91\) | 29.4818 | 0.323975 | ||||||||
\(92\) | 38.0615i | 0.413712i | ||||||||
\(93\) | −12.1017 | + | 75.5041i | −0.130125 | + | 0.811872i | ||||
\(94\) | −187.874 | −1.99866 | ||||||||
\(95\) | 75.9121i | 0.799074i | ||||||||
\(96\) | −134.571 | − | 21.5688i | −1.40178 | − | 0.224675i | ||||
\(97\) | 84.6768 | 0.872957 | 0.436478 | − | 0.899715i | \(-0.356226\pi\) | ||||
0.436478 | + | 0.899715i | \(0.356226\pi\) | |||||||
\(98\) | 105.561i | 1.07716i | ||||||||
\(99\) | −40.2996 | + | 122.488i | −0.407066 | + | 1.23725i | ||||
\(100\) | −77.5510 | −0.775510 | ||||||||
\(101\) | 162.825i | 1.61213i | 0.591825 | + | 0.806066i | \(0.298408\pi\) | ||||
−0.591825 | + | 0.806066i | \(0.701592\pi\) | |||||||
\(102\) | 1.17042 | − | 7.30240i | 0.0114747 | − | 0.0715921i | ||||
\(103\) | −1.33089 | −0.0129212 | −0.00646062 | − | 0.999979i | \(-0.502056\pi\) | ||||
−0.00646062 | + | 0.999979i | \(0.502056\pi\) | |||||||
\(104\) | − | 20.4603i | − | 0.196734i | ||||||
\(105\) | −32.7542 | − | 5.24979i | −0.311945 | − | 0.0499980i | ||||
\(106\) | 73.2826 | 0.691346 | ||||||||
\(107\) | 101.598i | 0.949518i | 0.880116 | + | 0.474759i | \(0.157465\pi\) | ||||
−0.880116 | + | 0.474759i | \(0.842535\pi\) | |||||||
\(108\) | −60.1919 | + | 116.532i | −0.557332 | + | 1.07900i | ||||
\(109\) | −3.86290 | −0.0354394 | −0.0177197 | − | 0.999843i | \(-0.505641\pi\) | ||||
−0.0177197 | + | 0.999843i | \(0.505641\pi\) | |||||||
\(110\) | 128.177i | 1.16525i | ||||||||
\(111\) | 0.200764 | − | 1.25260i | 0.00180869 | − | 0.0112847i | ||||
\(112\) | 43.5285 | 0.388648 | ||||||||
\(113\) | − | 67.2164i | − | 0.594835i | −0.954748 | − | 0.297417i | \(-0.903875\pi\) | ||
0.954748 | − | 0.297417i | \(-0.0961253\pi\) | |||||||
\(114\) | −222.642 | − | 35.6846i | −1.95300 | − | 0.313023i | ||||
\(115\) | −23.5520 | −0.204800 | ||||||||
\(116\) | − | 11.3787i | − | 0.0980925i | ||||||
\(117\) | 68.5179 | + | 22.5430i | 0.585623 | + | 0.192675i | ||||
\(118\) | −22.8606 | −0.193734 | ||||||||
\(119\) | 3.04694i | 0.0256045i | ||||||||
\(120\) | −3.64335 | + | 22.7314i | −0.0303612 | + | 0.189428i | ||||
\(121\) | −84.2757 | −0.696493 | ||||||||
\(122\) | − | 219.258i | − | 1.79719i | ||||||
\(123\) | 18.6303 | + | 2.98603i | 0.151466 | + | 0.0242767i | ||||
\(124\) | −123.821 | −0.998556 | ||||||||
\(125\) | − | 123.136i | − | 0.985090i | ||||||
\(126\) | 30.7941 | − | 93.5966i | 0.244397 | − | 0.742830i | ||||
\(127\) | −41.0103 | −0.322916 | −0.161458 | − | 0.986880i | \(-0.551620\pi\) | ||||
−0.161458 | + | 0.986880i | \(0.551620\pi\) | |||||||
\(128\) | − | 79.8142i | − | 0.623548i | ||||||
\(129\) | −22.9855 | + | 143.410i | −0.178182 | + | 1.11170i | ||||
\(130\) | 71.7005 | 0.551542 | ||||||||
\(131\) | − | 57.1268i | − | 0.436083i | −0.975940 | − | 0.218041i | \(-0.930033\pi\) | ||
0.975940 | − | 0.218041i | \(-0.0699667\pi\) | |||||||
\(132\) | −206.167 | − | 33.0441i | −1.56187 | − | 0.250334i | ||||
\(133\) | 92.8975 | 0.698478 | ||||||||
\(134\) | 299.658i | 2.23625i | ||||||||
\(135\) | −72.1091 | − | 37.2461i | −0.534142 | − | 0.275897i | ||||
\(136\) | 2.11457 | 0.0155483 | ||||||||
\(137\) | − | 37.2566i | − | 0.271946i | −0.990713 | − | 0.135973i | \(-0.956584\pi\) | ||
0.990713 | − | 0.135973i | \(-0.0434161\pi\) | |||||||
\(138\) | 11.0713 | − | 69.0755i | 0.0802269 | − | 0.500547i | ||||
\(139\) | 151.905 | 1.09284 | 0.546421 | − | 0.837511i | \(-0.315990\pi\) | ||||
0.546421 | + | 0.837511i | \(0.315990\pi\) | |||||||
\(140\) | − | 53.7144i | − | 0.383674i | ||||||
\(141\) | 186.990 | + | 29.9704i | 1.32617 | + | 0.212556i | ||||
\(142\) | −142.718 | −1.00505 | ||||||||
\(143\) | 114.828i | 0.802995i | ||||||||
\(144\) | 101.164 | + | 33.2837i | 0.702526 | + | 0.231137i | ||||
\(145\) | 7.04105 | 0.0485589 | ||||||||
\(146\) | − | 388.148i | − | 2.65855i | ||||||
\(147\) | 16.8396 | − | 105.064i | 0.114555 | − | 0.714724i | ||||
\(148\) | 2.05416 | 0.0138795 | ||||||||
\(149\) | − | 155.316i | − | 1.04239i | −0.853437 | − | 0.521196i | \(-0.825486\pi\) | ||
0.853437 | − | 0.521196i | \(-0.174514\pi\) | |||||||
\(150\) | 140.743 | + | 22.5580i | 0.938286 | + | 0.150387i | ||||
\(151\) | −100.269 | −0.664036 | −0.332018 | − | 0.943273i | \(-0.607729\pi\) | ||||
−0.332018 | + | 0.943273i | \(0.607729\pi\) | |||||||
\(152\) | − | 64.4708i | − | 0.424150i | ||||||
\(153\) | −2.32981 | + | 7.08132i | −0.0152275 | + | 0.0462831i | ||||
\(154\) | 156.857 | 1.01855 | ||||||||
\(155\) | − | 76.6191i | − | 0.494317i | ||||||
\(156\) | −18.4844 | + | 115.327i | −0.118490 | + | 0.739274i | ||||
\(157\) | −183.383 | −1.16805 | −0.584024 | − | 0.811737i | \(-0.698522\pi\) | ||||
−0.584024 | + | 0.811737i | \(0.698522\pi\) | |||||||
\(158\) | 226.457i | 1.43327i | ||||||||
\(159\) | −72.9377 | − | 11.6903i | −0.458728 | − | 0.0735241i | ||||
\(160\) | 136.558 | 0.853488 | ||||||||
\(161\) | 28.8219i | 0.179018i | ||||||||
\(162\) | 143.136 | − | 193.979i | 0.883554 | − | 1.19740i | ||||
\(163\) | −159.723 | −0.979894 | −0.489947 | − | 0.871752i | \(-0.662984\pi\) | ||||
−0.489947 | + | 0.871752i | \(0.662984\pi\) | |||||||
\(164\) | 30.5523i | 0.186294i | ||||||||
\(165\) | 20.4473 | − | 127.574i | 0.123923 | − | 0.773176i | ||||
\(166\) | −425.195 | −2.56142 | ||||||||
\(167\) | − | 271.015i | − | 1.62284i | −0.584460 | − | 0.811422i | \(-0.698694\pi\) | ||
0.584460 | − | 0.811422i | \(-0.301306\pi\) | |||||||
\(168\) | 27.8176 | + | 4.45855i | 0.165581 | + | 0.0265390i | ||||
\(169\) | −104.767 | −0.619921 | ||||||||
\(170\) | 7.41024i | 0.0435896i | ||||||||
\(171\) | 215.901 | + | 71.0333i | 1.26258 | + | 0.415400i | ||||
\(172\) | −235.181 | −1.36733 | ||||||||
\(173\) | − | 323.180i | − | 1.86809i | −0.357156 | − | 0.934045i | \(-0.616254\pi\) | ||
0.357156 | − | 0.934045i | \(-0.383746\pi\) | |||||||
\(174\) | −3.30984 | + | 20.6506i | −0.0190221 | + | 0.118682i | ||||
\(175\) | −58.7252 | −0.335572 | ||||||||
\(176\) | 169.539i | 0.963289i | ||||||||
\(177\) | 22.7530 | + | 3.64682i | 0.128548 | + | 0.0206035i | ||||
\(178\) | 218.556 | 1.22784 | ||||||||
\(179\) | − | 6.98049i | − | 0.0389972i | −0.999810 | − | 0.0194986i | \(-0.993793\pi\) | ||
0.999810 | − | 0.0194986i | \(-0.00620698\pi\) | |||||||
\(180\) | 41.0722 | − | 124.836i | 0.228179 | − | 0.693536i | ||||
\(181\) | −23.0990 | −0.127619 | −0.0638095 | − | 0.997962i | \(-0.520325\pi\) | ||||
−0.0638095 | + | 0.997962i | \(0.520325\pi\) | |||||||
\(182\) | − | 87.7436i | − | 0.482108i | ||||||
\(183\) | −34.9769 | + | 218.226i | −0.191130 | + | 1.19249i | ||||
\(184\) | 20.0024 | 0.108708 | ||||||||
\(185\) | 1.27110i | 0.00687079i | ||||||||
\(186\) | 224.715 | + | 36.0170i | 1.20815 | + | 0.193640i | ||||
\(187\) | −11.8675 | −0.0634625 | ||||||||
\(188\) | 306.649i | 1.63111i | ||||||||
\(189\) | −45.5800 | + | 88.2437i | −0.241164 | + | 0.466898i | ||||
\(190\) | 225.930 | 1.18910 | ||||||||
\(191\) | 317.561i | 1.66262i | 0.555808 | + | 0.831311i | \(0.312409\pi\) | ||||
−0.555808 | + | 0.831311i | \(0.687591\pi\) | |||||||
\(192\) | −41.7206 | + | 260.301i | −0.217295 | + | 1.35573i | ||||
\(193\) | −286.089 | −1.48233 | −0.741163 | − | 0.671325i | \(-0.765726\pi\) | ||||
−0.741163 | + | 0.671325i | \(0.765726\pi\) | |||||||
\(194\) | − | 252.015i | − | 1.29905i | ||||||
\(195\) | −71.3631 | − | 11.4380i | −0.365964 | − | 0.0586562i | ||||
\(196\) | 172.298 | 0.879070 | ||||||||
\(197\) | − | 258.325i | − | 1.31129i | −0.755068 | − | 0.655647i | \(-0.772396\pi\) | ||
0.755068 | − | 0.655647i | \(-0.227604\pi\) | |||||||
\(198\) | 364.548 | + | 119.940i | 1.84115 | + | 0.605755i | ||||
\(199\) | 26.7086 | 0.134214 | 0.0671071 | − | 0.997746i | \(-0.478623\pi\) | ||||
0.0671071 | + | 0.997746i | \(0.478623\pi\) | |||||||
\(200\) | 40.7552i | 0.203776i | ||||||||
\(201\) | 47.8026 | − | 298.248i | 0.237824 | − | 1.48382i | ||||
\(202\) | 484.601 | 2.39901 | ||||||||
\(203\) | − | 8.61649i | − | 0.0424458i | ||||||
\(204\) | −11.9190 | − | 1.91036i | −0.0584265 | − | 0.00936450i | ||||
\(205\) | −18.9054 | −0.0922216 | ||||||||
\(206\) | 3.96099i | 0.0192281i | ||||||||
\(207\) | −22.0384 | + | 66.9843i | −0.106466 | + | 0.323596i | ||||
\(208\) | 94.8376 | 0.455950 | ||||||||
\(209\) | 361.826i | 1.73122i | ||||||||
\(210\) | −15.6244 | + | 97.4830i | −0.0744020 | + | 0.464205i | ||||
\(211\) | −372.105 | −1.76353 | −0.881766 | − | 0.471687i | \(-0.843645\pi\) | ||||
−0.881766 | + | 0.471687i | \(0.843645\pi\) | |||||||
\(212\) | − | 119.612i | − | 0.564209i | ||||||
\(213\) | 142.046 | + | 22.7669i | 0.666883 | + | 0.106887i | ||||
\(214\) | 302.377 | 1.41298 | ||||||||
\(215\) | − | 145.528i | − | 0.676873i | ||||||
\(216\) | 61.2410 | + | 31.6325i | 0.283523 | + | 0.146447i | ||||
\(217\) | −93.7628 | −0.432087 | ||||||||
\(218\) | 11.4968i | 0.0527374i | ||||||||
\(219\) | −61.9188 | + | 386.321i | −0.282734 | + | 1.76402i | ||||
\(220\) | 209.212 | 0.950962 | ||||||||
\(221\) | 6.63850i | 0.0300385i | ||||||||
\(222\) | −3.72798 | − | 0.597515i | −0.0167927 | − | 0.00269151i | ||||
\(223\) | 312.508 | 1.40138 | 0.700690 | − | 0.713466i | \(-0.252875\pi\) | ||||
0.700690 | + | 0.713466i | \(0.252875\pi\) | |||||||
\(224\) | − | 167.113i | − | 0.746041i | ||||||
\(225\) | −136.482 | − | 44.9037i | −0.606586 | − | 0.199572i | ||||
\(226\) | −200.049 | −0.885174 | ||||||||
\(227\) | − | 11.4108i | − | 0.0502677i | −0.999684 | − | 0.0251339i | \(-0.991999\pi\) | ||
0.999684 | − | 0.0251339i | \(-0.00800120\pi\) | |||||||
\(228\) | −58.2446 | + | 363.397i | −0.255459 | + | 1.59384i | ||||
\(229\) | 337.431 | 1.47350 | 0.736749 | − | 0.676166i | \(-0.236360\pi\) | ||||
0.736749 | + | 0.676166i | \(0.236360\pi\) | |||||||
\(230\) | 70.0956i | 0.304764i | ||||||||
\(231\) | −156.119 | − | 25.0225i | −0.675839 | − | 0.108322i | ||||
\(232\) | −5.97984 | −0.0257752 | ||||||||
\(233\) | 246.547i | 1.05814i | 0.848578 | + | 0.529071i | \(0.177459\pi\) | ||||
−0.848578 | + | 0.529071i | \(0.822541\pi\) | |||||||
\(234\) | 67.0925 | − | 203.923i | 0.286720 | − | 0.871466i | ||||
\(235\) | −189.751 | −0.807452 | ||||||||
\(236\) | 37.3132i | 0.158107i | ||||||||
\(237\) | 36.1253 | − | 225.391i | 0.152428 | − | 0.951019i | ||||
\(238\) | 9.06829 | 0.0381021 | ||||||||
\(239\) | − | 136.843i | − | 0.572566i | −0.958145 | − | 0.286283i | \(-0.907580\pi\) | ||
0.958145 | − | 0.286283i | \(-0.0924198\pi\) | |||||||
\(240\) | −105.364 | − | 16.8876i | −0.439019 | − | 0.0703651i | ||||
\(241\) | 153.448 | 0.636715 | 0.318358 | − | 0.947971i | \(-0.396869\pi\) | ||||
0.318358 | + | 0.947971i | \(0.396869\pi\) | |||||||
\(242\) | 250.821i | 1.03645i | ||||||||
\(243\) | −173.406 | + | 170.233i | −0.713607 | + | 0.700547i | ||||
\(244\) | −357.873 | −1.46669 | ||||||||
\(245\) | 106.616i | 0.435168i | ||||||||
\(246\) | 8.88703 | − | 55.4475i | 0.0361261 | − | 0.225396i | ||||
\(247\) | 202.400 | 0.819434 | ||||||||
\(248\) | 65.0713i | 0.262384i | ||||||||
\(249\) | 423.194 | + | 67.8288i | 1.69957 | + | 0.272405i | ||||
\(250\) | −366.478 | −1.46591 | ||||||||
\(251\) | 157.596i | 0.627874i | 0.949444 | + | 0.313937i | \(0.101648\pi\) | ||||
−0.949444 | + | 0.313937i | \(0.898352\pi\) | |||||||
\(252\) | −152.769 | − | 50.2622i | −0.606225 | − | 0.199453i | ||||
\(253\) | −112.258 | −0.443708 | ||||||||
\(254\) | 122.055i | 0.480531i | ||||||||
\(255\) | 1.18211 | − | 7.37536i | 0.00463573 | − | 0.0289230i | ||||
\(256\) | 113.955 | 0.445135 | ||||||||
\(257\) | − | 379.854i | − | 1.47803i | −0.673689 | − | 0.739015i | \(-0.735291\pi\) | ||
0.673689 | − | 0.739015i | \(-0.264709\pi\) | |||||||
\(258\) | 426.816 | + | 68.4094i | 1.65433 | + | 0.265153i | ||||
\(259\) | 1.55551 | 0.00600581 | ||||||||
\(260\) | − | 117.030i | − | 0.450115i | ||||||
\(261\) | 6.58853 | − | 20.0254i | 0.0252434 | − | 0.0767257i | ||||
\(262\) | −170.021 | −0.648935 | ||||||||
\(263\) | − | 457.411i | − | 1.73921i | −0.493751 | − | 0.869603i | \(-0.664375\pi\) | ||
0.493751 | − | 0.869603i | \(-0.335625\pi\) | |||||||
\(264\) | −17.3656 | + | 108.346i | −0.0657787 | + | 0.410403i | ||||
\(265\) | 74.0149 | 0.279301 | ||||||||
\(266\) | − | 276.482i | − | 1.03940i | ||||||
\(267\) | −217.528 | − | 34.8650i | −0.814710 | − | 0.130580i | ||||
\(268\) | 489.103 | 1.82501 | ||||||||
\(269\) | − | 154.959i | − | 0.576056i | −0.957622 | − | 0.288028i | \(-0.907000\pi\) | ||
0.957622 | − | 0.288028i | \(-0.0929996\pi\) | |||||||
\(270\) | −110.852 | + | 214.611i | −0.410563 | + | 0.794856i | ||||
\(271\) | −53.5797 | −0.197711 | −0.0988555 | − | 0.995102i | \(-0.531518\pi\) | ||||
−0.0988555 | + | 0.995102i | \(0.531518\pi\) | |||||||
\(272\) | 9.80146i | 0.0360348i | ||||||||
\(273\) | −13.9972 | + | 87.3307i | −0.0512718 | + | 0.319893i | ||||
\(274\) | −110.883 | −0.404683 | ||||||||
\(275\) | − | 228.728i | − | 0.831739i | ||||||
\(276\) | −112.745 | − | 18.0706i | −0.408498 | − | 0.0654733i | ||||
\(277\) | 363.311 | 1.31159 | 0.655797 | − | 0.754938i | \(-0.272333\pi\) | ||||
0.655797 | + | 0.754938i | \(0.272333\pi\) | |||||||
\(278\) | − | 452.100i | − | 1.62626i | ||||||
\(279\) | −217.912 | − | 71.6950i | −0.781047 | − | 0.256971i | ||||
\(280\) | −28.2284 | −0.100816 | ||||||||
\(281\) | 405.128i | 1.44174i | 0.693072 | + | 0.720869i | \(0.256257\pi\) | ||||
−0.693072 | + | 0.720869i | \(0.743743\pi\) | |||||||
\(282\) | 89.1979 | − | 556.519i | 0.316305 | − | 1.97347i | ||||
\(283\) | −375.399 | −1.32650 | −0.663250 | − | 0.748398i | \(-0.730823\pi\) | ||||
−0.663250 | + | 0.748398i | \(0.730823\pi\) | |||||||
\(284\) | 232.945i | 0.820228i | ||||||||
\(285\) | −224.866 | − | 36.0412i | −0.789004 | − | 0.126460i | ||||
\(286\) | 341.752 | 1.19494 | ||||||||
\(287\) | 23.1356i | 0.0806117i | ||||||||
\(288\) | 127.782 | − | 388.384i | 0.443686 | − | 1.34856i | ||||
\(289\) | 288.314 | 0.997626 | ||||||||
\(290\) | − | 20.9556i | − | 0.0722606i | ||||||
\(291\) | −40.2024 | + | 250.829i | −0.138153 | + | 0.861955i | ||||
\(292\) | −633.536 | −2.16965 | ||||||||
\(293\) | − | 21.8044i | − | 0.0744176i | −0.999308 | − | 0.0372088i | \(-0.988153\pi\) | ||
0.999308 | − | 0.0372088i | \(-0.0118467\pi\) | |||||||
\(294\) | −312.693 | − | 50.1179i | −1.06358 | − | 0.170469i | ||||
\(295\) | −23.0891 | −0.0782680 | ||||||||
\(296\) | − | 1.07952i | − | 0.00364703i | ||||||
\(297\) | −343.699 | − | 177.529i | −1.15724 | − | 0.597742i | ||||
\(298\) | −462.253 | −1.55118 | ||||||||
\(299\) | 62.7955i | 0.210018i | ||||||||
\(300\) | 36.8193 | − | 229.721i | 0.122731 | − | 0.765737i | ||||
\(301\) | −178.090 | −0.591660 | ||||||||
\(302\) | 298.422i | 0.988152i | ||||||||
\(303\) | −482.320 | − | 77.3055i | −1.59182 | − | 0.255134i | ||||
\(304\) | 298.835 | 0.983010 | ||||||||
\(305\) | − | 221.449i | − | 0.726061i | ||||||
\(306\) | 21.0754 | + | 6.93400i | 0.0688739 | + | 0.0226601i | ||||
\(307\) | −35.2986 | −0.114979 | −0.0574896 | − | 0.998346i | \(-0.518310\pi\) | ||||
−0.0574896 | + | 0.998346i | \(0.518310\pi\) | |||||||
\(308\) | − | 256.023i | − | 0.831243i | ||||||
\(309\) | 0.631873 | − | 3.94235i | 0.00204490 | − | 0.0127584i | ||||
\(310\) | −228.034 | −0.735593 | ||||||||
\(311\) | 15.4570i | 0.0497008i | 0.999691 | + | 0.0248504i | \(0.00791094\pi\) | ||||
−0.999691 | + | 0.0248504i | \(0.992089\pi\) | |||||||
\(312\) | 60.6074 | + | 9.71406i | 0.194255 | + | 0.0311348i | ||||
\(313\) | 453.370 | 1.44847 | 0.724233 | − | 0.689555i | \(-0.242194\pi\) | ||||
0.724233 | + | 0.689555i | \(0.242194\pi\) | |||||||
\(314\) | 545.786i | 1.73817i | ||||||||
\(315\) | 31.1018 | − | 94.5318i | 0.0987357 | − | 0.300101i | ||||
\(316\) | 369.625 | 1.16970 | ||||||||
\(317\) | − | 11.2239i | − | 0.0354068i | −0.999843 | − | 0.0177034i | \(-0.994365\pi\) | ||
0.999843 | − | 0.0177034i | \(-0.00563546\pi\) | |||||||
\(318\) | −34.7928 | + | 217.077i | −0.109411 | + | 0.682633i | ||||
\(319\) | 33.5603 | 0.105205 | ||||||||
\(320\) | − | 264.145i | − | 0.825453i | ||||||
\(321\) | −300.954 | − | 48.2364i | −0.937552 | − | 0.150269i | ||||
\(322\) | 85.7796 | 0.266396 | ||||||||
\(323\) | 20.9180i | 0.0647617i | ||||||||
\(324\) | −316.614 | − | 233.627i | −0.977204 | − | 0.721070i | ||||
\(325\) | −127.947 | −0.393684 | ||||||||
\(326\) | 475.367i | 1.45818i | ||||||||
\(327\) | 1.83401 | − | 11.4426i | 0.00560858 | − | 0.0349928i | ||||
\(328\) | 16.0561 | 0.0489514 | ||||||||
\(329\) | 232.208i | 0.705800i | ||||||||
\(330\) | −379.686 | − | 60.8554i | −1.15056 | − | 0.184410i | ||||
\(331\) | 133.540 | 0.403443 | 0.201722 | − | 0.979443i | \(-0.435346\pi\) | ||||
0.201722 | + | 0.979443i | \(0.435346\pi\) | |||||||
\(332\) | 694.006i | 2.09038i | ||||||||
\(333\) | 3.61512 | + | 1.18940i | 0.0108562 | + | 0.00357179i | ||||
\(334\) | −806.595 | −2.41496 | ||||||||
\(335\) | 302.652i | 0.903439i | ||||||||
\(336\) | −20.6663 | + | 128.940i | −0.0615068 | + | 0.383750i | ||||
\(337\) | 390.559 | 1.15893 | 0.579465 | − | 0.814997i | \(-0.303262\pi\) | ||||
0.579465 | + | 0.814997i | \(0.303262\pi\) | |||||||
\(338\) | 311.807i | 0.922505i | ||||||||
\(339\) | 199.108 | + | 31.9127i | 0.587339 | + | 0.0941376i | ||||
\(340\) | 12.0950 | 0.0355736 | ||||||||
\(341\) | − | 365.196i | − | 1.07096i | ||||||
\(342\) | 211.409 | − | 642.565i | 0.618156 | − | 1.87885i | ||||
\(343\) | 310.719 | 0.905887 | ||||||||
\(344\) | 123.594i | 0.359285i | ||||||||
\(345\) | 11.1819 | − | 69.7657i | 0.0324114 | − | 0.202219i | ||||
\(346\) | −961.847 | −2.77990 | ||||||||
\(347\) | 426.563i | 1.22929i | 0.788805 | + | 0.614644i | \(0.210700\pi\) | ||||
−0.788805 | + | 0.614644i | \(0.789300\pi\) | |||||||
\(348\) | 33.7060 | + | 5.40234i | 0.0968563 | + | 0.0155240i | ||||
\(349\) | −484.515 | −1.38830 | −0.694148 | − | 0.719832i | \(-0.744219\pi\) | ||||
−0.694148 | + | 0.719832i | \(0.744219\pi\) | |||||||
\(350\) | 174.778i | 0.499365i | ||||||||
\(351\) | −99.3073 | + | 192.261i | −0.282927 | + | 0.547751i | ||||
\(352\) | 650.887 | 1.84911 | ||||||||
\(353\) | 537.907i | 1.52382i | 0.647685 | + | 0.761908i | \(0.275737\pi\) | ||||
−0.647685 | + | 0.761908i | \(0.724263\pi\) | |||||||
\(354\) | 10.8537 | − | 67.7176i | 0.0306601 | − | 0.191293i | ||||
\(355\) | −144.144 | −0.406039 | ||||||||
\(356\) | − | 356.729i | − | 1.00205i | ||||||
\(357\) | −9.02561 | − | 1.44661i | −0.0252818 | − | 0.00405213i | ||||
\(358\) | −20.7753 | −0.0580317 | ||||||||
\(359\) | − | 59.8619i | − | 0.166746i | −0.996518 | − | 0.0833731i | \(-0.973431\pi\) | ||
0.996518 | − | 0.0833731i | \(-0.0265693\pi\) | |||||||
\(360\) | −65.6050 | − | 21.5846i | −0.182236 | − | 0.0599572i | ||||
\(361\) | 276.766 | 0.766665 | ||||||||
\(362\) | 68.7474i | 0.189910i | ||||||||
\(363\) | 40.0120 | − | 249.641i | 0.110226 | − | 0.687716i | ||||
\(364\) | −143.216 | −0.393449 | ||||||||
\(365\) | − | 392.026i | − | 1.07404i | ||||||
\(366\) | 649.484 | + | 104.098i | 1.77455 | + | 0.284421i | ||||
\(367\) | 629.523 | 1.71532 | 0.857660 | − | 0.514217i | \(-0.171917\pi\) | ||||
0.857660 | + | 0.514217i | \(0.171917\pi\) | |||||||
\(368\) | 92.7148i | 0.251942i | ||||||||
\(369\) | −17.6904 | + | 53.7689i | −0.0479415 | + | 0.145715i | ||||
\(370\) | 3.78304 | 0.0102244 | ||||||||
\(371\) | − | 90.5758i | − | 0.244140i | ||||||
\(372\) | 58.7871 | − | 366.781i | 0.158030 | − | 0.985972i | ||||
\(373\) | −80.1229 | −0.214807 | −0.107403 | − | 0.994216i | \(-0.534254\pi\) | ||||
−0.107403 | + | 0.994216i | \(0.534254\pi\) | |||||||
\(374\) | 35.3200i | 0.0944385i | ||||||||
\(375\) | 364.753 | + | 58.4621i | 0.972676 | + | 0.155899i | ||||
\(376\) | 161.152 | 0.428597 | ||||||||
\(377\) | − | 18.7731i | − | 0.0497961i | ||||||
\(378\) | 262.631 | + | 135.655i | 0.694791 | + | 0.358876i | ||||
\(379\) | 149.480 | 0.394407 | 0.197204 | − | 0.980363i | \(-0.436814\pi\) | ||||
0.197204 | + | 0.980363i | \(0.436814\pi\) | |||||||
\(380\) | − | 368.763i | − | 0.970430i | ||||||
\(381\) | 19.4707 | − | 121.480i | 0.0511041 | − | 0.318846i | ||||
\(382\) | 945.124 | 2.47415 | ||||||||
\(383\) | − | 34.2467i | − | 0.0894171i | −0.999000 | − | 0.0447085i | \(-0.985764\pi\) | ||
0.999000 | − | 0.0447085i | \(-0.0142359\pi\) | |||||||
\(384\) | 236.425 | + | 37.8938i | 0.615690 | + | 0.0986818i | ||||
\(385\) | 158.424 | 0.411492 | ||||||||
\(386\) | 851.458i | 2.20585i | ||||||||
\(387\) | −413.894 | − | 136.175i | −1.06949 | − | 0.351873i | ||||
\(388\) | −411.340 | −1.06016 | ||||||||
\(389\) | 70.7713i | 0.181931i | 0.995854 | + | 0.0909657i | \(0.0289954\pi\) | ||||
−0.995854 | + | 0.0909657i | \(0.971005\pi\) | |||||||
\(390\) | −34.0416 | + | 212.391i | −0.0872862 | + | 0.544592i | ||||
\(391\) | −6.48991 | −0.0165982 | ||||||||
\(392\) | − | 90.5472i | − | 0.230988i | ||||||
\(393\) | 169.221 | + | 27.1224i | 0.430587 | + | 0.0690137i | ||||
\(394\) | −768.827 | −1.95134 | ||||||||
\(395\) | 228.720i | 0.579038i | ||||||||
\(396\) | 195.766 | − | 595.018i | 0.494358 | − | 1.50257i | ||||
\(397\) | 658.564 | 1.65885 | 0.829425 | − | 0.558618i | \(-0.188668\pi\) | ||||
0.829425 | + | 0.558618i | \(0.188668\pi\) | |||||||
\(398\) | − | 79.4902i | − | 0.199724i | ||||||
\(399\) | −44.1054 | + | 275.180i | −0.110540 | + | 0.689675i | ||||
\(400\) | −188.908 | −0.472271 | ||||||||
\(401\) | 394.424i | 0.983602i | 0.870708 | + | 0.491801i | \(0.163661\pi\) | ||||
−0.870708 | + | 0.491801i | \(0.836339\pi\) | |||||||
\(402\) | −887.645 | − | 142.270i | −2.20807 | − | 0.353906i | ||||
\(403\) | −204.285 | −0.506911 | ||||||||
\(404\) | − | 790.968i | − | 1.95784i | ||||||
\(405\) | 144.566 | − | 195.918i | 0.356953 | − | 0.483747i | ||||
\(406\) | −25.6444 | −0.0631636 | ||||||||
\(407\) | 6.05852i | 0.0148858i | ||||||||
\(408\) | −1.00395 | + | 6.26377i | −0.00246065 | + | 0.0153524i | ||||
\(409\) | −501.659 | −1.22655 | −0.613275 | − | 0.789869i | \(-0.710148\pi\) | ||||
−0.613275 | + | 0.789869i | \(0.710148\pi\) | |||||||
\(410\) | 56.2663i | 0.137235i | ||||||||
\(411\) | 110.361 | + | 17.6885i | 0.268519 | + | 0.0430378i | ||||
\(412\) | 6.46515 | 0.0156921 | ||||||||
\(413\) | 28.2553i | 0.0684147i | ||||||||
\(414\) | 199.359 | + | 65.5907i | 0.481543 | + | 0.158432i | ||||
\(415\) | −429.444 | −1.03480 | ||||||||
\(416\) | − | 364.097i | − | 0.875233i | ||||||
\(417\) | −72.1208 | + | 449.972i | −0.172952 | + | 1.07907i | ||||
\(418\) | 1076.87 | 2.57623 | ||||||||
\(419\) | 383.331i | 0.914870i | 0.889243 | + | 0.457435i | \(0.151232\pi\) | ||||
−0.889243 | + | 0.457435i | \(0.848768\pi\) | |||||||
\(420\) | 159.112 | + | 25.5022i | 0.378839 | + | 0.0607196i | ||||
\(421\) | −439.790 | −1.04463 | −0.522316 | − | 0.852752i | \(-0.674932\pi\) | ||||
−0.522316 | + | 0.852752i | \(0.674932\pi\) | |||||||
\(422\) | 1107.46i | 2.62431i | ||||||||
\(423\) | −177.556 | + | 539.671i | −0.419755 | + | 1.27582i | ||||
\(424\) | −62.8596 | −0.148254 | ||||||||
\(425\) | − | 13.2233i | − | 0.0311137i | ||||||
\(426\) | 67.7589 | − | 422.758i | 0.159058 | − | 0.992389i | ||||
\(427\) | −270.998 | −0.634656 | ||||||||
\(428\) | − | 493.542i | − | 1.15313i | ||||||
\(429\) | −340.143 | − | 54.5176i | −0.792875 | − | 0.127081i | ||||
\(430\) | −433.119 | −1.00725 | ||||||||
\(431\) | − | 643.243i | − | 1.49244i | −0.665697 | − | 0.746222i | \(-0.731866\pi\) | ||
0.665697 | − | 0.746222i | \(-0.268134\pi\) | |||||||
\(432\) | −146.623 | + | 283.864i | −0.339405 | + | 0.657093i | ||||
\(433\) | 306.913 | 0.708805 | 0.354403 | − | 0.935093i | \(-0.384684\pi\) | ||||
0.354403 | + | 0.935093i | \(0.384684\pi\) | |||||||
\(434\) | 279.057i | 0.642988i | ||||||||
\(435\) | −3.34291 | + | 20.8569i | −0.00768486 | + | 0.0479470i | ||||
\(436\) | 18.7651 | 0.0430391 | ||||||||
\(437\) | 197.870i | 0.452791i | ||||||||
\(438\) | 1149.77 | + | 184.283i | 2.62504 | + | 0.420737i | ||||
\(439\) | −711.298 | −1.62027 | −0.810134 | − | 0.586244i | \(-0.800606\pi\) | ||||
−0.810134 | + | 0.586244i | \(0.800606\pi\) | |||||||
\(440\) | − | 109.946i | − | 0.249878i | ||||||
\(441\) | 303.226 | + | 99.7640i | 0.687588 | + | 0.226222i | ||||
\(442\) | 19.7575 | 0.0447002 | ||||||||
\(443\) | − | 305.524i | − | 0.689671i | −0.938663 | − | 0.344835i | \(-0.887935\pi\) | ||
0.938663 | − | 0.344835i | \(-0.112065\pi\) | |||||||
\(444\) | −0.975266 | + | 6.08483i | −0.00219655 | + | 0.0137046i | ||||
\(445\) | 220.740 | 0.496045 | ||||||||
\(446\) | − | 930.086i | − | 2.08539i | ||||||
\(447\) | 460.077 | + | 73.7404i | 1.02926 | + | 0.164967i | ||||
\(448\) | −323.248 | −0.721536 | ||||||||
\(449\) | − | 228.985i | − | 0.509989i | −0.966942 | − | 0.254995i | \(-0.917926\pi\) | ||
0.966942 | − | 0.254995i | \(-0.0820737\pi\) | |||||||
\(450\) | −133.642 | + | 406.198i | −0.296983 | + | 0.902661i | ||||
\(451\) | −90.1105 | −0.199801 | ||||||||
\(452\) | 326.521i | 0.722393i | ||||||||
\(453\) | 47.6054 | − | 297.017i | 0.105089 | − | 0.655668i | ||||
\(454\) | −33.9607 | −0.0748034 | ||||||||
\(455\) | − | 88.6204i | − | 0.194770i | ||||||
\(456\) | 190.975 | + | 30.6091i | 0.418805 | + | 0.0671253i | ||||
\(457\) | −13.9561 | −0.0305384 | −0.0152692 | − | 0.999883i | \(-0.504861\pi\) | ||||
−0.0152692 | + | 0.999883i | \(0.504861\pi\) | |||||||
\(458\) | − | 1004.26i | − | 2.19271i | ||||||
\(459\) | −19.8701 | − | 10.2634i | −0.0432900 | − | 0.0223603i | ||||
\(460\) | 114.410 | 0.248718 | ||||||||
\(461\) | 518.730i | 1.12523i | 0.826720 | + | 0.562614i | \(0.190204\pi\) | ||||
−0.826720 | + | 0.562614i | \(0.809796\pi\) | |||||||
\(462\) | −74.4719 | + | 464.641i | −0.161195 | + | 1.00572i | ||||
\(463\) | 873.381 | 1.88635 | 0.943177 | − | 0.332292i | \(-0.107822\pi\) | ||||
0.943177 | + | 0.332292i | \(0.107822\pi\) | |||||||
\(464\) | − | 27.7177i | − | 0.0597365i | ||||||
\(465\) | 226.961 | + | 36.3769i | 0.488087 | + | 0.0782298i | ||||
\(466\) | 733.773 | 1.57462 | ||||||||
\(467\) | 15.7070i | 0.0336339i | 0.999859 | + | 0.0168169i | \(0.00535325\pi\) | ||||
−0.999859 | + | 0.0168169i | \(0.994647\pi\) | |||||||
\(468\) | −332.844 | − | 109.509i | −0.711206 | − | 0.233993i | ||||
\(469\) | 370.371 | 0.789704 | ||||||||
\(470\) | 564.738i | 1.20157i | ||||||||
\(471\) | 87.0659 | − | 543.217i | 0.184853 | − | 1.15333i | ||||
\(472\) | 19.6091 | 0.0415448 | ||||||||
\(473\) | − | 693.640i | − | 1.46647i | ||||||
\(474\) | −670.810 | − | 107.516i | −1.41521 | − | 0.226828i | ||||
\(475\) | −403.164 | −0.848766 | ||||||||
\(476\) | − | 14.8013i | − | 0.0310952i | ||||||
\(477\) | 69.2581 | − | 210.505i | 0.145195 | − | 0.441311i | ||||
\(478\) | −407.273 | −0.852036 | ||||||||
\(479\) | 375.998i | 0.784964i | 0.919760 | + | 0.392482i | \(0.128383\pi\) | ||||
−0.919760 | + | 0.392482i | \(0.871617\pi\) | |||||||
\(480\) | −64.8344 | + | 404.511i | −0.135072 | + | 0.842732i | ||||
\(481\) | 3.38905 | 0.00704585 | ||||||||
\(482\) | − | 456.693i | − | 0.947496i | ||||||
\(483\) | −85.3759 | − | 13.6839i | −0.176762 | − | 0.0283311i | ||||
\(484\) | 409.392 | 0.845850 | ||||||||
\(485\) | − | 254.533i | − | 0.524811i | ||||||
\(486\) | 506.647 | + | 516.092i | 1.04248 | + | 1.06192i | ||||
\(487\) | 789.687 | 1.62153 | 0.810767 | − | 0.585369i | \(-0.199050\pi\) | ||||
0.810767 | + | 0.585369i | \(0.199050\pi\) | |||||||
\(488\) | 188.072i | 0.385394i | ||||||||
\(489\) | 75.8324 | − | 473.130i | 0.155077 | − | 0.967546i | ||||
\(490\) | 317.311 | 0.647573 | ||||||||
\(491\) | 613.979i | 1.25047i | 0.780438 | + | 0.625233i | \(0.214996\pi\) | ||||
−0.780438 | + | 0.625233i | \(0.785004\pi\) | |||||||
\(492\) | −90.5017 | − | 14.5055i | −0.183947 | − | 0.0294826i | ||||
\(493\) | 1.94020 | 0.00393550 | ||||||||
\(494\) | − | 602.383i | − | 1.21940i | ||||||
\(495\) | 368.191 | + | 121.138i | 0.743820 | + | 0.244723i | ||||
\(496\) | −301.618 | −0.608102 | ||||||||
\(497\) | 176.396i | 0.354922i | ||||||||
\(498\) | 201.872 | − | 1259.51i | 0.405366 | − | 2.52914i | ||||
\(499\) | 468.935 | 0.939750 | 0.469875 | − | 0.882733i | \(-0.344299\pi\) | ||||
0.469875 | + | 0.882733i | \(0.344299\pi\) | |||||||
\(500\) | 598.168i | 1.19634i | ||||||||
\(501\) | 802.799 | + | 128.671i | 1.60239 | + | 0.256829i | ||||
\(502\) | 469.038 | 0.934339 | ||||||||
\(503\) | − | 803.692i | − | 1.59780i | −0.601466 | − | 0.798898i | \(-0.705416\pi\) | ||
0.601466 | − | 0.798898i | \(-0.294584\pi\) | |||||||
\(504\) | −26.4142 | + | 80.2842i | −0.0524091 | + | 0.159294i | ||||
\(505\) | 489.443 | 0.969194 | ||||||||
\(506\) | 334.102i | 0.660281i | ||||||||
\(507\) | 49.7407 | − | 310.339i | 0.0981078 | − | 0.612109i | ||||
\(508\) | 199.219 | 0.392162 | ||||||||
\(509\) | − | 627.072i | − | 1.23197i | −0.787759 | − | 0.615984i | \(-0.788759\pi\) | ||
0.787759 | − | 0.615984i | \(-0.211241\pi\) | |||||||
\(510\) | −21.9506 | − | 3.51820i | −0.0430403 | − | 0.00689843i | ||||
\(511\) | −479.742 | −0.938831 | ||||||||
\(512\) | − | 658.409i | − | 1.28595i | ||||||
\(513\) | −312.919 | + | 605.816i | −0.609979 | + | 1.18093i | ||||
\(514\) | −1130.52 | −2.19946 | ||||||||
\(515\) | 4.00057i | 0.00776810i | ||||||||
\(516\) | 111.658 | − | 696.651i | 0.216392 | − | 1.35010i | ||||
\(517\) | −904.426 | −1.74937 | ||||||||
\(518\) | − | 4.62950i | − | 0.00893725i | ||||||
\(519\) | 957.320 | + | 153.438i | 1.84455 | + | 0.295641i | ||||
\(520\) | −61.5025 | −0.118274 | ||||||||
\(521\) | 758.568i | 1.45598i | 0.685586 | + | 0.727992i | \(0.259546\pi\) | ||||
−0.685586 | + | 0.727992i | \(0.740454\pi\) | |||||||
\(522\) | −59.5996 | − | 19.6088i | −0.114176 | − | 0.0375647i | ||||
\(523\) | 205.714 | 0.393334 | 0.196667 | − | 0.980470i | \(-0.436988\pi\) | ||||
0.196667 | + | 0.980470i | \(0.436988\pi\) | |||||||
\(524\) | 277.509i | 0.529597i | ||||||||
\(525\) | 27.8813 | − | 173.955i | 0.0531072 | − | 0.331343i | ||||
\(526\) | −1361.35 | −2.58811 | ||||||||
\(527\) | − | 21.1129i | − | 0.0400624i | ||||||
\(528\) | −502.207 | − | 80.4929i | −0.951150 | − | 0.152449i | ||||
\(529\) | 467.610 | 0.883951 | ||||||||
\(530\) | − | 220.283i | − | 0.415628i | ||||||
\(531\) | −21.6052 | + | 65.6675i | −0.0406877 | + | 0.123668i | ||||
\(532\) | −451.275 | −0.848261 | ||||||||
\(533\) | 50.4065i | 0.0945713i | ||||||||
\(534\) | −103.765 | + | 647.406i | −0.194317 | + | 1.21237i | ||||
\(535\) | 305.399 | 0.570839 | ||||||||
\(536\) | − | 257.037i | − | 0.479547i | ||||||
\(537\) | 20.6776 | + | 3.31417i | 0.0385057 | + | 0.00617163i | ||||
\(538\) | −461.189 | −0.857229 | ||||||||
\(539\) | 508.173i | 0.942806i | ||||||||
\(540\) | 350.289 | + | 180.933i | 0.648684 | + | 0.335061i | ||||
\(541\) | 231.135 | 0.427236 | 0.213618 | − | 0.976917i | \(-0.431475\pi\) | ||||
0.213618 | + | 0.976917i | \(0.431475\pi\) | |||||||
\(542\) | 159.464i | 0.294214i | ||||||||
\(543\) | 10.9669 | − | 68.4238i | 0.0201968 | − | 0.126011i | ||||
\(544\) | 37.6294 | 0.0691717 | ||||||||
\(545\) | 11.6116i | 0.0213057i | ||||||||
\(546\) | 259.914 | + | 41.6585i | 0.476032 | + | 0.0762976i | ||||
\(547\) | −978.215 | −1.78833 | −0.894164 | − | 0.447740i | \(-0.852229\pi\) | ||||
−0.894164 | + | 0.447740i | \(0.852229\pi\) | |||||||
\(548\) | 180.984i | 0.330263i | ||||||||
\(549\) | −629.821 | − | 207.216i | −1.14721 | − | 0.377443i | ||||
\(550\) | −680.741 | −1.23771 | ||||||||
\(551\) | − | 59.1545i | − | 0.107358i | ||||||
\(552\) | −9.49662 | + | 59.2508i | −0.0172040 | + | 0.107338i | ||||
\(553\) | 279.896 | 0.506142 | ||||||||
\(554\) | − | 1081.29i | − | 1.95178i | ||||||
\(555\) | −3.76523 | − | 0.603485i | −0.00678420 | − | 0.00108736i | ||||
\(556\) | −737.920 | −1.32719 | ||||||||
\(557\) | 483.211i | 0.867524i | 0.901027 | + | 0.433762i | \(0.142814\pi\) | ||||
−0.901027 | + | 0.433762i | \(0.857186\pi\) | |||||||
\(558\) | −213.379 | + | 648.550i | −0.382399 | + | 1.16228i | ||||
\(559\) | −388.012 | −0.694118 | ||||||||
\(560\) | − | 130.844i | − | 0.233650i | ||||||
\(561\) | 5.63439 | − | 35.1538i | 0.0100435 | − | 0.0626627i | ||||
\(562\) | 1205.74 | 2.14545 | ||||||||
\(563\) | − | 918.492i | − | 1.63142i | −0.578458 | − | 0.815712i | \(-0.696345\pi\) | ||
0.578458 | − | 0.815712i | \(-0.303655\pi\) | |||||||
\(564\) | −908.353 | − | 145.589i | −1.61055 | − | 0.258137i | ||||
\(565\) | −202.048 | −0.357607 | ||||||||
\(566\) | 1117.26i | 1.97396i | ||||||||
\(567\) | −239.754 | − | 176.913i | −0.422847 | − | 0.312015i | ||||
\(568\) | 122.419 | 0.215526 | ||||||||
\(569\) | 273.561i | 0.480775i | 0.970677 | + | 0.240387i | \(0.0772745\pi\) | ||||
−0.970677 | + | 0.240387i | \(0.922726\pi\) | |||||||
\(570\) | −107.266 | + | 669.247i | −0.188186 | + | 1.17412i | ||||
\(571\) | −678.503 | −1.18827 | −0.594135 | − | 0.804365i | \(-0.702506\pi\) | ||||
−0.594135 | + | 0.804365i | \(0.702506\pi\) | |||||||
\(572\) | − | 557.809i | − | 0.975191i | ||||||
\(573\) | −940.676 | − | 150.770i | −1.64167 | − | 0.263124i | ||||
\(574\) | 68.8560 | 0.119958 | ||||||||
\(575\) | − | 125.083i | − | 0.217536i | ||||||
\(576\) | −751.254 | − | 247.169i | −1.30426 | − | 0.429113i | ||||
\(577\) | 313.594 | 0.543490 | 0.271745 | − | 0.962369i | \(-0.412399\pi\) | ||||
0.271745 | + | 0.962369i | \(0.412399\pi\) | |||||||
\(578\) | − | 858.080i | − | 1.48457i | ||||||
\(579\) | 135.828 | − | 847.451i | 0.234591 | − | 1.46365i | ||||
\(580\) | −34.2038 | −0.0589720 | ||||||||
\(581\) | 525.532i | 0.904531i | ||||||||
\(582\) | 746.517 | + | 119.651i | 1.28268 | + | 0.205585i | ||||
\(583\) | 352.783 | 0.605117 | ||||||||
\(584\) | 332.941i | 0.570104i | ||||||||
\(585\) | 67.7628 | − | 205.961i | 0.115834 | − | 0.352070i | ||||
\(586\) | −64.8941 | −0.110741 | ||||||||
\(587\) | 11.9241i | 0.0203137i | 0.999948 | + | 0.0101568i | \(0.00323308\pi\) | ||||
−0.999948 | + | 0.0101568i | \(0.996767\pi\) | |||||||
\(588\) | −81.8027 | + | 510.379i | −0.139120 | + | 0.867991i | ||||
\(589\) | −643.706 | −1.09288 | ||||||||
\(590\) | 68.7176i | 0.116471i | ||||||||
\(591\) | 765.208 | + | 122.646i | 1.29477 | + | 0.207523i | ||||
\(592\) | 5.00379 | 0.00845234 | ||||||||
\(593\) | 310.201i | 0.523104i | 0.965189 | + | 0.261552i | \(0.0842344\pi\) | ||||
−0.965189 | + | 0.261552i | \(0.915766\pi\) | |||||||
\(594\) | −528.363 | + | 1022.92i | −0.889499 | + | 1.72208i | ||||
\(595\) | 9.15890 | 0.0153931 | ||||||||
\(596\) | 754.491i | 1.26593i | ||||||||
\(597\) | −12.6806 | + | 79.1161i | −0.0212405 | + | 0.132523i | ||||
\(598\) | 186.892 | 0.312528 | ||||||||
\(599\) | 522.485i | 0.872262i | 0.899883 | + | 0.436131i | \(0.143652\pi\) | ||||
−0.899883 | + | 0.436131i | \(0.856348\pi\) | |||||||
\(600\) | −120.725 | − | 19.3496i | −0.201208 | − | 0.0322493i | ||||
\(601\) | −24.2214 | −0.0403018 | −0.0201509 | − | 0.999797i | \(-0.506415\pi\) | ||||
−0.0201509 | + | 0.999797i | \(0.506415\pi\) | |||||||
\(602\) | 530.031i | 0.880449i | ||||||||
\(603\) | 860.772 | + | 283.201i | 1.42748 | + | 0.469654i | ||||
\(604\) | 487.086 | 0.806433 | ||||||||
\(605\) | 253.327i | 0.418723i | ||||||||
\(606\) | −230.077 | + | 1435.48i | −0.379664 | + | 2.36878i | ||||
\(607\) | 36.0443 | 0.0593810 | 0.0296905 | − | 0.999559i | \(-0.490548\pi\) | ||||
0.0296905 | + | 0.999559i | \(0.490548\pi\) | |||||||
\(608\) | − | 1147.28i | − | 1.88697i | ||||||
\(609\) | 25.5237 | + | 4.09090i | 0.0419109 | + | 0.00671740i | ||||
\(610\) | −659.075 | −1.08045 | ||||||||
\(611\) | 505.923i | 0.828025i | ||||||||
\(612\) | 11.3177 | − | 34.3994i | 0.0184930 | − | 0.0562082i | ||||
\(613\) | 185.688 | 0.302917 | 0.151458 | − | 0.988464i | \(-0.451603\pi\) | ||||
0.151458 | + | 0.988464i | \(0.451603\pi\) | |||||||
\(614\) | 105.056i | 0.171101i | ||||||||
\(615\) | 8.97583 | − | 56.0015i | 0.0145948 | − | 0.0910594i | ||||
\(616\) | −134.547 | −0.218421 | ||||||||
\(617\) | 703.077i | 1.13951i | 0.821815 | + | 0.569755i | \(0.192962\pi\) | ||||
−0.821815 | + | 0.569755i | \(0.807038\pi\) | |||||||
\(618\) | −11.7332 | − | 1.88058i | −0.0189858 | − | 0.00304301i | ||||
\(619\) | −491.081 | −0.793345 | −0.396672 | − | 0.917960i | \(-0.629835\pi\) | ||||
−0.396672 | + | 0.917960i | \(0.629835\pi\) | |||||||
\(620\) | 372.198i | 0.600319i | ||||||||
\(621\) | −187.957 | − | 97.0845i | −0.302668 | − | 0.156336i | ||||
\(622\) | 46.0030 | 0.0739598 | ||||||||
\(623\) | − | 270.131i | − | 0.433597i | ||||||
\(624\) | −45.0266 | + | 280.927i | −0.0721580 | + | 0.450204i | ||||
\(625\) | 28.9683 | 0.0463493 | ||||||||
\(626\) | − | 1349.32i | − | 2.15546i | ||||||
\(627\) | −1071.80 | − | 171.786i | −1.70941 | − | 0.273981i | ||||
\(628\) | 890.834 | 1.41853 | ||||||||
\(629\) | 0.350258i | 0.000556849i | ||||||||
\(630\) | −281.345 | − | 92.5651i | −0.446580 | − | 0.146929i | ||||
\(631\) | 1125.02 | 1.78291 | 0.891456 | − | 0.453107i | \(-0.149684\pi\) | ||||
0.891456 | + | 0.453107i | \(0.149684\pi\) | |||||||
\(632\) | − | 194.248i | − | 0.307354i | ||||||
\(633\) | 176.666 | − | 1102.25i | 0.279094 | − | 1.74131i | ||||
\(634\) | −33.4047 | −0.0526888 | ||||||||
\(635\) | 123.274i | 0.194133i | ||||||||
\(636\) | 354.315 | + | 56.7890i | 0.557099 | + | 0.0892908i | ||||
\(637\) | 284.264 | 0.446255 | ||||||||
\(638\) | − | 99.8822i | − | 0.156555i | ||||||
\(639\) | −134.880 | + | 409.959i | −0.211080 | + | 0.641563i | ||||
\(640\) | −239.917 | −0.374870 | ||||||||
\(641\) | − | 904.406i | − | 1.41093i | −0.708745 | − | 0.705465i | \(-0.750738\pi\) | ||
0.708745 | − | 0.705465i | \(-0.249262\pi\) | |||||||
\(642\) | −143.561 | + | 895.700i | −0.223616 | + | 1.39517i | ||||
\(643\) | 275.235 | 0.428048 | 0.214024 | − | 0.976828i | \(-0.431343\pi\) | ||||
0.214024 | + | 0.976828i | \(0.431343\pi\) | |||||||
\(644\) | − | 140.010i | − | 0.217407i | ||||||
\(645\) | 431.081 | + | 69.0929i | 0.668342 | + | 0.107121i | ||||
\(646\) | 62.2562 | 0.0963719 | ||||||||
\(647\) | 206.877i | 0.319748i | 0.987137 | + | 0.159874i | \(0.0511087\pi\) | ||||
−0.987137 | + | 0.159874i | \(0.948891\pi\) | |||||||
\(648\) | −122.777 | + | 166.389i | −0.189471 | + | 0.256774i | ||||
\(649\) | −110.051 | −0.169570 | ||||||||
\(650\) | 380.797i | 0.585841i | ||||||||
\(651\) | 44.5163 | − | 277.744i | 0.0683813 | − | 0.426641i | ||||
\(652\) | 775.896 | 1.19003 | ||||||||
\(653\) | 1076.47i | 1.64850i | 0.566223 | + | 0.824252i | \(0.308404\pi\) | ||||
−0.566223 | + | 0.824252i | \(0.691596\pi\) | |||||||
\(654\) | −34.0556 | − | 5.45837i | −0.0520728 | − | 0.00834614i | ||||
\(655\) | −171.720 | −0.262167 | ||||||||
\(656\) | 74.4230i | 0.113450i | ||||||||
\(657\) | −1114.96 | − | 366.831i | −1.69705 | − | 0.558343i | ||||
\(658\) | 691.099 | 1.05030 | ||||||||
\(659\) | − | 926.569i | − | 1.40602i | −0.711179 | − | 0.703011i | \(-0.751838\pi\) | ||
0.711179 | − | 0.703011i | \(-0.248162\pi\) | |||||||
\(660\) | −99.3285 | + | 619.725i | −0.150498 | + | 0.938977i | ||||
\(661\) | −164.989 | −0.249605 | −0.124803 | − | 0.992182i | \(-0.539830\pi\) | ||||
−0.124803 | + | 0.992182i | \(0.539830\pi\) | |||||||
\(662\) | − | 397.441i | − | 0.600364i | ||||||
\(663\) | −19.6645 | − | 3.15180i | −0.0296599 | − | 0.00475384i | ||||
\(664\) | 364.719 | 0.549276 | ||||||||
\(665\) | − | 279.244i | − | 0.419916i | ||||||
\(666\) | 3.53991 | − | 10.7593i | 0.00531518 | − | 0.0161551i | ||||
\(667\) | 18.3529 | 0.0275157 | ||||||||
\(668\) | 1316.53i | 1.97085i | ||||||||
\(669\) | −148.371 | + | 925.709i | −0.221780 | + | 1.38372i | ||||
\(670\) | 900.753 | 1.34441 | ||||||||
\(671\) | − | 1055.51i | − | 1.57304i | ||||||
\(672\) | 495.021 | + | 79.3412i | 0.736639 | + | 0.118067i | ||||
\(673\) | −1140.47 | −1.69460 | −0.847302 | − | 0.531112i | \(-0.821775\pi\) | ||||
−0.847302 | + | 0.531112i | \(0.821775\pi\) | |||||||
\(674\) | − | 1162.38i | − | 1.72460i | ||||||
\(675\) | 197.812 | − | 382.967i | 0.293054 | − | 0.567358i | ||||
\(676\) | 508.933 | 0.752859 | ||||||||
\(677\) | 21.8653i | 0.0322973i | 0.999870 | + | 0.0161486i | \(0.00514050\pi\) | ||||
−0.999870 | + | 0.0161486i | \(0.994860\pi\) | |||||||
\(678\) | 94.9785 | − | 592.585i | 0.140086 | − | 0.874019i | ||||
\(679\) | −311.485 | −0.458741 | ||||||||
\(680\) | − | 6.35627i | − | 0.00934746i | ||||||
\(681\) | 33.8009 | + | 5.41755i | 0.0496342 | + | 0.00795529i | ||||
\(682\) | −1086.90 | −1.59369 | ||||||||
\(683\) | − | 856.622i | − | 1.25421i | −0.778937 | − | 0.627103i | \(-0.784241\pi\) | ||
0.778937 | − | 0.627103i | \(-0.215759\pi\) | |||||||
\(684\) | −1048.80 | − | 345.064i | −1.53333 | − | 0.504479i | ||||
\(685\) | −111.991 | −0.163491 | ||||||||
\(686\) | − | 924.763i | − | 1.34805i | ||||||
\(687\) | −160.204 | + | 999.536i | −0.233193 | + | 1.45493i | ||||
\(688\) | −572.883 | −0.832679 | ||||||||
\(689\) | − | 197.342i | − | 0.286418i | ||||||
\(690\) | −207.637 | − | 33.2797i | −0.300923 | − | 0.0482314i | ||||
\(691\) | −497.476 | −0.719937 | −0.359968 | − | 0.932965i | \(-0.617212\pi\) | ||||
−0.359968 | + | 0.932965i | \(0.617212\pi\) | |||||||
\(692\) | 1569.93i | 2.26869i | ||||||||
\(693\) | 148.243 | − | 450.574i | 0.213915 | − | 0.650179i | ||||
\(694\) | 1269.54 | 1.82930 | ||||||||
\(695\) | − | 456.617i | − | 0.657003i | ||||||
\(696\) | 2.83908 | − | 17.7134i | 0.00407914 | − | 0.0254503i | ||||
\(697\) | −5.20950 | −0.00747418 | ||||||||
\(698\) | 1442.02i | 2.06592i | ||||||||
\(699\) | −730.320 | − | 117.054i | −1.04481 | − | 0.167460i | ||||
\(700\) | 285.273 | 0.407533 | ||||||||
\(701\) | 510.239i | 0.727873i | 0.931424 | + | 0.363937i | \(0.118568\pi\) | ||||
−0.931424 | + | 0.363937i | \(0.881432\pi\) | |||||||
\(702\) | 572.206 | + | 295.558i | 0.815108 | + | 0.421023i | ||||
\(703\) | 10.6790 | 0.0151906 | ||||||||
\(704\) | − | 1259.02i | − | 1.78837i | ||||||
\(705\) | 90.0892 | − | 562.080i | 0.127786 | − | 0.797276i | ||||
\(706\) | 1600.92 | 2.26759 | ||||||||
\(707\) | − | 598.957i | − | 0.847181i | ||||||
\(708\) | −110.529 | − | 17.7154i | −0.156114 | − | 0.0250218i | ||||
\(709\) | −21.4011 | −0.0301849 | −0.0150925 | − | 0.999886i | \(-0.504804\pi\) | ||||
−0.0150925 | + | 0.999886i | \(0.504804\pi\) | |||||||
\(710\) | 429.001i | 0.604227i | ||||||||
\(711\) | 650.501 | + | 214.021i | 0.914911 | + | 0.301013i | ||||
\(712\) | −187.471 | −0.263302 | ||||||||
\(713\) | − | 199.713i | − | 0.280102i | ||||||
\(714\) | −4.30540 | + | 26.8620i | −0.00602997 | + | 0.0376219i | ||||
\(715\) | 345.167 | 0.482751 | ||||||||
\(716\) | 33.9096i | 0.0473598i | ||||||||
\(717\) | 405.356 | + | 64.9698i | 0.565351 | + | 0.0906134i | ||||
\(718\) | −178.161 | −0.248135 | ||||||||
\(719\) | − | 271.790i | − | 0.378012i | −0.981976 | − | 0.189006i | \(-0.939473\pi\) | ||
0.981976 | − | 0.189006i | \(-0.0605265\pi\) | |||||||
\(720\) | 100.049 | − | 304.092i | 0.138957 | − | 0.422350i | ||||
\(721\) | 4.89570 | 0.00679016 | ||||||||
\(722\) | − | 823.711i | − | 1.14087i | ||||||
\(723\) | −72.8535 | + | 454.544i | −0.100766 | + | 0.628691i | ||||
\(724\) | 112.210 | 0.154986 | ||||||||
\(725\) | 37.3945i | 0.0515786i | ||||||||
\(726\) | −742.981 | − | 119.084i | −1.02339 | − | 0.164027i | ||||
\(727\) | −520.902 | −0.716509 | −0.358254 | − | 0.933624i | \(-0.616628\pi\) | ||||
−0.358254 | + | 0.933624i | \(0.616628\pi\) | |||||||
\(728\) | 75.2638i | 0.103384i | ||||||||
\(729\) | −421.933 | − | 594.486i | −0.578784 | − | 0.815481i | ||||
\(730\) | −1166.75 | −1.59828 | ||||||||
\(731\) | − | 40.1010i | − | 0.0548577i | ||||||
\(732\) | 169.909 | − | 1060.09i | 0.232117 | − | 1.44821i | ||||
\(733\) | 655.583 | 0.894383 | 0.447192 | − | 0.894438i | \(-0.352424\pi\) | ||||
0.447192 | + | 0.894438i | \(0.352424\pi\) | |||||||
\(734\) | − | 1873.59i | − | 2.55257i | ||||||
\(735\) | −315.817 | − | 50.6187i | −0.429683 | − | 0.0688689i | ||||
\(736\) | 355.947 | 0.483624 | ||||||||
\(737\) | 1442.56i | 1.95733i | ||||||||
\(738\) | 160.027 | + | 52.6502i | 0.216839 | + | 0.0713417i | ||||
\(739\) | 160.286 | 0.216895 | 0.108448 | − | 0.994102i | \(-0.465412\pi\) | ||||
0.108448 | + | 0.994102i | \(0.465412\pi\) | |||||||
\(740\) | − | 6.17469i | − | 0.00834417i | ||||||
\(741\) | −96.0946 | + | 599.548i | −0.129682 | + | 0.809107i | ||||
\(742\) | −269.572 | −0.363304 | ||||||||
\(743\) | − | 1101.61i | − | 1.48265i | −0.671145 | − | 0.741326i | \(-0.734197\pi\) | ||
0.671145 | − | 0.741326i | \(-0.265803\pi\) | |||||||
\(744\) | −192.754 | − | 30.8943i | −0.259078 | − | 0.0415245i | ||||
\(745\) | −466.872 | −0.626673 | ||||||||
\(746\) | 238.462i | 0.319654i | ||||||||
\(747\) | −401.844 | + | 1221.38i | −0.537944 | + | 1.63505i | ||||
\(748\) | 57.6495 | 0.0770715 | ||||||||
\(749\) | − | 373.732i | − | 0.498975i | ||||||
\(750\) | 173.995 | − | 1085.58i | 0.231993 | − | 1.44744i | ||||
\(751\) | 1083.43 | 1.44265 | 0.721323 | − | 0.692598i | \(-0.243534\pi\) | ||||
0.721323 | + | 0.692598i | \(0.243534\pi\) | |||||||
\(752\) | 746.973i | 0.993315i | ||||||||
\(753\) | −466.831 | − | 74.8229i | −0.619961 | − | 0.0993663i | ||||
\(754\) | −55.8726 | −0.0741017 | ||||||||
\(755\) | 301.404i | 0.399210i | ||||||||
\(756\) | 221.417 | − | 428.667i | 0.292880 | − | 0.567020i | ||||
\(757\) | 601.996 | 0.795239 | 0.397620 | − | 0.917550i | \(-0.369836\pi\) | ||||
0.397620 | + | 0.917550i | \(0.369836\pi\) | |||||||
\(758\) | − | 444.883i | − | 0.586917i | ||||||
\(759\) | 53.2973 | − | 332.530i | 0.0702205 | − | 0.438116i | ||||
\(760\) | −193.795 | −0.254994 | ||||||||
\(761\) | 33.3091i | 0.0437702i | 0.999760 | + | 0.0218851i | \(0.00696680\pi\) | ||||
−0.999760 | + | 0.0218851i | \(0.993033\pi\) | |||||||
\(762\) | −361.550 | − | 57.9486i | −0.474475 | − | 0.0760481i | ||||
\(763\) | 14.2097 | 0.0186235 | ||||||||
\(764\) | − | 1542.64i | − | 2.01916i | ||||||
\(765\) | 21.2860 | + | 7.00328i | 0.0278249 | + | 0.00915461i | ||||
\(766\) | −101.925 | −0.133062 | ||||||||
\(767\) | 61.5611i | 0.0802621i | ||||||||
\(768\) | −54.1028 | + | 337.555i | −0.0704464 | + | 0.439525i | ||||
\(769\) | 231.879 | 0.301533 | 0.150766 | − | 0.988569i | \(-0.451826\pi\) | ||||
0.150766 | + | 0.988569i | \(0.451826\pi\) | |||||||
\(770\) | − | 471.503i | − | 0.612341i | ||||||
\(771\) | 1125.20 | + | 180.345i | 1.45940 | + | 0.233911i | ||||
\(772\) | 1389.75 | 1.80020 | ||||||||
\(773\) | 444.880i | 0.575524i | 0.957702 | + | 0.287762i | \(0.0929113\pi\) | ||||
−0.957702 | + | 0.287762i | \(0.907089\pi\) | |||||||
\(774\) | −405.284 | + | 1231.83i | −0.523622 | + | 1.59152i | ||||
\(775\) | 406.919 | 0.525057 | ||||||||
\(776\) | 216.171i | 0.278570i | ||||||||
\(777\) | −0.738516 | + | 4.60771i | −0.000950471 | + | 0.00593013i | ||||
\(778\) | 210.630 | 0.270732 | ||||||||
\(779\) | 158.832i | 0.203892i | ||||||||
\(780\) | 346.665 | + | 55.5629i | 0.444443 | + | 0.0712345i | ||||
\(781\) | −687.044 | −0.879698 | ||||||||
\(782\) | 19.3153i | 0.0246998i | ||||||||
\(783\) | 56.1911 | + | 29.0241i | 0.0717638 | + | 0.0370678i | ||||
\(784\) | 419.704 | 0.535337 | ||||||||
\(785\) | 551.239i | 0.702216i | ||||||||
\(786\) | 80.7217 | − | 503.635i | 0.102699 | − | 0.640757i | ||||
\(787\) | −344.088 | −0.437215 | −0.218607 | − | 0.975813i | \(-0.570151\pi\) | ||||
−0.218607 | + | 0.975813i | \(0.570151\pi\) | |||||||
\(788\) | 1254.88i | 1.59249i | ||||||||
\(789\) | 1354.94 | + | 217.168i | 1.71729 | + | 0.275244i | ||||
\(790\) | 680.716 | 0.861666 | ||||||||
\(791\) | 247.257i | 0.312588i | ||||||||
\(792\) | −312.698 | − | 102.880i | −0.394821 | − | 0.129899i | ||||
\(793\) | −590.436 | −0.744560 | ||||||||
\(794\) | − | 1960.02i | − | 2.46854i | ||||||
\(795\) | −35.1404 | + | 219.246i | −0.0442018 | + | 0.275782i | ||||
\(796\) | −129.744 | −0.162995 | ||||||||
\(797\) | − | 1010.66i | − | 1.26808i | −0.773302 | − | 0.634038i | \(-0.781396\pi\) | ||
0.773302 | − | 0.634038i | \(-0.218604\pi\) | |||||||
\(798\) | 818.992 | + | 131.267i | 1.02631 | + | 0.164495i | ||||
\(799\) | −52.2871 | −0.0654406 | ||||||||
\(800\) | 725.250i | 0.906563i | ||||||||
\(801\) | 206.554 | − | 627.806i | 0.257870 | − | 0.783778i | ||||
\(802\) | 1173.89 | 1.46370 | ||||||||
\(803\) | − | 1868.54i | − | 2.32695i | ||||||
\(804\) | −232.214 | + | 1448.82i | −0.288824 | + | 1.80201i | ||||
\(805\) | 86.6367 | 0.107623 | ||||||||
\(806\) | 607.994i | 0.754335i | ||||||||
\(807\) | 459.019 | + | 73.5707i | 0.568796 | + | 0.0911657i | ||||
\(808\) | −415.676 | −0.514450 | ||||||||
\(809\) | − | 887.084i | − | 1.09652i | −0.836308 | − | 0.548260i | \(-0.815291\pi\) | ||
0.836308 | − | 0.548260i | \(-0.184709\pi\) | |||||||
\(810\) | −583.090 | − | 430.257i | −0.719864 | − | 0.531182i | ||||
\(811\) | 95.4437 | 0.117686 | 0.0588432 | − | 0.998267i | \(-0.481259\pi\) | ||||
0.0588432 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(812\) | 41.8569i | 0.0515479i | ||||||||
\(813\) | 25.4383 | − | 158.713i | 0.0312894 | − | 0.195219i | ||||
\(814\) | 18.0314 | 0.0221516 | ||||||||
\(815\) | 480.117i | 0.589100i | ||||||||
\(816\) | −29.0338 | − | 4.65349i | −0.0355806 | − | 0.00570280i | ||||
\(817\) | −1222.63 | −1.49649 | ||||||||
\(818\) | 1493.04i | 1.82523i | ||||||||
\(819\) | −252.045 | − | 82.9249i | −0.307747 | − | 0.101251i | ||||
\(820\) | 91.8382 | 0.111998 | ||||||||
\(821\) | − | 342.926i | − | 0.417693i | −0.977948 | − | 0.208847i | \(-0.933029\pi\) | ||
0.977948 | − | 0.208847i | \(-0.0669710\pi\) | |||||||
\(822\) | 52.6446 | − | 328.457i | 0.0640445 | − | 0.399583i | ||||
\(823\) | −480.308 | −0.583606 | −0.291803 | − | 0.956478i | \(-0.594255\pi\) | ||||
−0.291803 | + | 0.956478i | \(0.594255\pi\) | |||||||
\(824\) | − | 3.39762i | − | 0.00412332i | ||||||
\(825\) | 677.537 | + | 108.594i | 0.821257 | + | 0.131630i | ||||
\(826\) | 84.0933 | 0.101808 | ||||||||
\(827\) | 551.486i | 0.666851i | 0.942776 | + | 0.333426i | \(0.108205\pi\) | ||||
−0.942776 | + | 0.333426i | \(0.891795\pi\) | |||||||
\(828\) | 107.057 | − | 325.394i | 0.129296 | − | 0.392988i | ||||
\(829\) | −1375.90 | −1.65971 | −0.829853 | − | 0.557982i | \(-0.811576\pi\) | ||||
−0.829853 | + | 0.557982i | \(0.811576\pi\) | |||||||
\(830\) | 1278.11i | 1.53989i | ||||||||
\(831\) | −172.491 | + | 1076.20i | −0.207571 | + | 1.29506i | ||||
\(832\) | −704.275 | −0.846485 | ||||||||
\(833\) | 29.3787i | 0.0352685i | ||||||||
\(834\) | 1339.21 | + | 214.646i | 1.60576 | + | 0.257369i | ||||
\(835\) | −814.655 | −0.975634 | ||||||||
\(836\) | − | 1757.67i | − | 2.10247i | ||||||
\(837\) | 315.834 | − | 611.459i | 0.377340 | − | 0.730536i | ||||
\(838\) | 1140.87 | 1.36142 | ||||||||
\(839\) | 1542.80i | 1.83886i | 0.393256 | + | 0.919429i | \(0.371349\pi\) | ||||
−0.393256 | + | 0.919429i | \(0.628651\pi\) | |||||||
\(840\) | 13.4021 | − | 83.6179i | 0.0159549 | − | 0.0995451i | ||||
\(841\) | 835.513 | 0.993476 | ||||||||
\(842\) | 1308.90i | 1.55452i | ||||||||
\(843\) | −1200.07 | − | 192.345i | −1.42357 | − | 0.228167i | ||||
\(844\) | 1807.60 | 2.14171 | ||||||||
\(845\) | 314.922i | 0.372689i | ||||||||
\(846\) | 1606.17 | + | 528.443i | 1.89854 | + | 0.624637i | ||||
\(847\) | 310.010 | 0.366009 | ||||||||
\(848\) | − | 291.366i | − | 0.343593i | ||||||
\(849\) | 178.230 | − | 1112.01i | 0.209930 | − | 1.30978i | ||||
\(850\) | −39.3553 | −0.0463003 | ||||||||
\(851\) | 3.31319i | 0.00389329i | ||||||||
\(852\) | −690.027 | − | 110.596i | −0.809891 | − | 0.129808i | ||||
\(853\) | 628.277 | 0.736550 | 0.368275 | − | 0.929717i | \(-0.379949\pi\) | ||||
0.368275 | + | 0.929717i | \(0.379949\pi\) | |||||||
\(854\) | 806.544i | 0.944431i | ||||||||
\(855\) | 213.522 | − | 648.986i | 0.249733 | − | 0.759048i | ||||
\(856\) | −259.370 | −0.303002 | ||||||||
\(857\) | 1466.23i | 1.71089i | 0.517894 | + | 0.855445i | \(0.326716\pi\) | ||||
−0.517894 | + | 0.855445i | \(0.673284\pi\) | |||||||
\(858\) | −162.255 | + | 1012.34i | −0.189109 | + | 1.17988i | ||||
\(859\) | 454.895 | 0.529563 | 0.264782 | − | 0.964308i | \(-0.414700\pi\) | ||||
0.264782 | + | 0.964308i | \(0.414700\pi\) | |||||||
\(860\) | 706.939i | 0.822023i | ||||||||
\(861\) | −68.5320 | − | 10.9842i | −0.0795958 | − | 0.0127575i | ||||
\(862\) | −1914.42 | −2.22091 | ||||||||
\(863\) | 598.566i | 0.693587i | 0.937942 | + | 0.346794i | \(0.112730\pi\) | ||||
−0.937942 | + | 0.346794i | \(0.887270\pi\) | |||||||
\(864\) | 1089.80 | + | 562.909i | 1.26134 | + | 0.651515i | ||||
\(865\) | −971.458 | −1.12307 | ||||||||
\(866\) | − | 913.433i | − | 1.05477i | ||||||
\(867\) | −136.884 | + | 854.042i | −0.157883 | + | 0.985054i | ||||
\(868\) | 455.478 | 0.524744 | ||||||||
\(869\) | 1090.17i | 1.25451i | ||||||||
\(870\) | 62.0744 | + | 9.94918i | 0.0713499 | + | 0.0114358i | ||||
\(871\) | 806.945 | 0.926458 | ||||||||
\(872\) | − | 9.86155i | − | 0.0113091i | ||||||
\(873\) | −723.917 | − | 238.175i | −0.829229 | − | 0.272823i | ||||
\(874\) | 588.900 | 0.673798 | ||||||||
\(875\) | 452.960i | 0.517668i | ||||||||
\(876\) | 300.787 | − | 1876.66i | 0.343365 | − | 2.14230i | ||||
\(877\) | −853.750 | −0.973489 | −0.486745 | − | 0.873544i | \(-0.661816\pi\) | ||||
−0.486745 | + | 0.873544i | \(0.661816\pi\) | |||||||
\(878\) | 2116.96i | 2.41112i | ||||||||
\(879\) | 64.5887 | + | 10.3522i | 0.0734798 | + | 0.0117772i | ||||
\(880\) | 509.624 | 0.579118 | ||||||||
\(881\) | 648.926i | 0.736579i | 0.929711 | + | 0.368290i | \(0.120056\pi\) | ||||
−0.929711 | + | 0.368290i | \(0.879944\pi\) | |||||||
\(882\) | 296.918 | − | 902.462i | 0.336641 | − | 1.02320i | ||||
\(883\) | −417.090 | −0.472355 | −0.236178 | − | 0.971710i | \(-0.575895\pi\) | ||||
−0.236178 | + | 0.971710i | \(0.575895\pi\) | |||||||
\(884\) | − | 32.2483i | − | 0.0364800i | ||||||
\(885\) | 10.9621 | − | 68.3942i | 0.0123866 | − | 0.0772816i | ||||
\(886\) | −909.301 | −1.02630 | ||||||||
\(887\) | 868.327i | 0.978948i | 0.872018 | + | 0.489474i | \(0.162811\pi\) | ||||
−0.872018 | + | 0.489474i | \(0.837189\pi\) | |||||||
\(888\) | 3.19775 | + | 0.512529i | 0.00360107 | + | 0.000577173i | ||||
\(889\) | 150.857 | 0.169693 | ||||||||
\(890\) | − | 656.967i | − | 0.738165i | ||||||
\(891\) | 689.056 | − | 933.818i | 0.773351 | − | 1.04806i | ||||
\(892\) | −1518.09 | −1.70190 | ||||||||
\(893\) | 1594.17i | 1.78519i | ||||||||
\(894\) | 219.466 | − | 1369.28i | 0.245488 | − | 1.53164i | ||||
\(895\) | −20.9829 | −0.0234446 | ||||||||
\(896\) | 293.598i | 0.327677i | ||||||||
\(897\) | −186.012 | − | 29.8138i | −0.207372 | − | 0.0332372i | ||||
\(898\) | −681.506 | −0.758915 | ||||||||
\(899\) | 59.7055i | 0.0664132i | ||||||||
\(900\) | 662.998 | + | 218.132i | 0.736664 | + | 0.242369i | ||||
\(901\) | 20.3952 | 0.0226362 | ||||||||
\(902\) | 268.187i | 0.297325i | ||||||||
\(903\) | 84.5526 | − | 527.536i | 0.0936352 | − | 0.584204i | ||||
\(904\) | 171.596 | 0.189819 | ||||||||
\(905\) | 69.4343i | 0.0767230i | ||||||||
\(906\) | −883.983 | − | 141.683i | −0.975699 | − | 0.156383i | ||||
\(907\) | −1302.76 | −1.43634 | −0.718171 | − | 0.695867i | \(-0.755020\pi\) | ||||
−0.718171 | + | 0.695867i | \(0.755020\pi\) | |||||||
\(908\) | 55.4309i | 0.0610472i | ||||||||
\(909\) | 457.988 | − | 1392.02i | 0.503837 | − | 1.53138i | ||||
\(910\) | −263.752 | −0.289837 | ||||||||
\(911\) | 353.839i | 0.388407i | 0.980961 | + | 0.194203i | \(0.0622122\pi\) | ||||
−0.980961 | + | 0.194203i | \(0.937788\pi\) | |||||||
\(912\) | −141.879 | + | 885.207i | −0.155570 | + | 0.970621i | ||||
\(913\) | −2046.89 | −2.24194 | ||||||||
\(914\) | 41.5360i | 0.0454443i | ||||||||
\(915\) | 655.973 | + | 105.138i | 0.716911 | + | 0.114905i | ||||
\(916\) | −1639.16 | −1.78948 | ||||||||
\(917\) | 210.142i | 0.229163i | ||||||||
\(918\) | −30.5459 | + | 59.1374i | −0.0332744 | + | 0.0644198i | ||||
\(919\) | −422.773 | −0.460036 | −0.230018 | − | 0.973186i | \(-0.573879\pi\) | ||||
−0.230018 | + | 0.973186i | \(0.573879\pi\) | |||||||
\(920\) | − | 60.1258i | − | 0.0653542i | ||||||
\(921\) | 16.7589 | − | 104.561i | 0.0181964 | − | 0.113530i | ||||
\(922\) | 1543.85 | 1.67445 | ||||||||
\(923\) | 384.323i | 0.416384i | ||||||||
\(924\) | 758.390 | + | 121.553i | 0.820768 | + | 0.131551i | ||||
\(925\) | −6.75070 | −0.00729806 | ||||||||
\(926\) | − | 2599.36i | − | 2.80708i | ||||||
\(927\) | 11.3780 | + | 3.74346i | 0.0122740 | + | 0.00403825i | ||||
\(928\) | −106.413 | −0.114669 | ||||||||
\(929\) | 621.240i | 0.668719i | 0.942446 | + | 0.334359i | \(0.108520\pi\) | ||||
−0.942446 | + | 0.334359i | \(0.891480\pi\) | |||||||
\(930\) | 108.265 | − | 675.480i | 0.116414 | − | 0.726323i | ||||
\(931\) | 895.722 | 0.962107 | ||||||||
\(932\) | − | 1197.67i | − | 1.28505i | ||||||
\(933\) | −45.7865 | − | 7.33858i | −0.0490745 | − | 0.00786557i | ||||
\(934\) | 46.7473 | 0.0500506 | ||||||||
\(935\) | 35.6729i | 0.0381529i | ||||||||
\(936\) | −57.5498 | + | 174.919i | −0.0614848 | + | 0.186879i | ||||
\(937\) | 1193.75 | 1.27402 | 0.637008 | − | 0.770858i | \(-0.280172\pi\) | ||||
0.637008 | + | 0.770858i | \(0.280172\pi\) | |||||||
\(938\) | − | 1102.30i | − | 1.17516i | ||||||
\(939\) | −215.249 | + | 1342.97i | −0.229232 | + | 1.43021i | ||||
\(940\) | 921.767 | 0.980604 | ||||||||
\(941\) | − | 1131.16i | − | 1.20208i | −0.799217 | − | 0.601042i | \(-0.794752\pi\) | ||
0.799217 | − | 0.601042i | \(-0.205248\pi\) | |||||||
\(942\) | −1616.72 | − | 259.126i | −1.71627 | − | 0.275080i | ||||
\(943\) | −49.2782 | −0.0522569 | ||||||||
\(944\) | 90.8922i | 0.0962841i | ||||||||
\(945\) | 265.255 | + | 137.011i | 0.280693 | + | 0.144985i | ||||
\(946\) | −2064.41 | −2.18225 | ||||||||
\(947\) | 766.712i | 0.809622i | 0.914400 | + | 0.404811i | \(0.132663\pi\) | ||||
−0.914400 | + | 0.404811i | \(0.867337\pi\) | |||||||
\(948\) | −175.489 | + | 1094.90i | −0.185115 | + | 1.15496i | ||||
\(949\) | −1045.24 | −1.10141 | ||||||||
\(950\) | 1199.90i | 1.26305i | ||||||||
\(951\) | 33.2475 | + | 5.32885i | 0.0349606 | + | 0.00560342i | ||||
\(952\) | −7.77850 | −0.00817069 | ||||||||
\(953\) | 239.940i | 0.251773i | 0.992045 | + | 0.125887i | \(0.0401776\pi\) | ||||
−0.992045 | + | 0.125887i | \(0.959822\pi\) | |||||||
\(954\) | −626.506 | − | 206.126i | −0.656715 | − | 0.216065i | ||||
\(955\) | 954.568 | 0.999547 | ||||||||
\(956\) | 664.753i | 0.695349i | ||||||||
\(957\) | −15.9336 | + | 99.4121i | −0.0166495 | + | 0.103879i | ||||
\(958\) | 1119.04 | 1.16810 | ||||||||
\(959\) | 137.049i | 0.142909i | ||||||||
\(960\) | 782.449 | + | 125.410i | 0.815051 | + | 0.130635i | ||||
\(961\) | −311.298 | −0.323931 | ||||||||
\(962\) | − | 10.0865i | − | 0.0104849i | ||||||
\(963\) | 285.771 | − | 868.583i | 0.296751 | − | 0.901955i | ||||
\(964\) | −745.416 | −0.773254 | ||||||||
\(965\) | 859.966i | 0.891156i | ||||||||
\(966\) | −40.7260 | + | 254.096i | −0.0421595 | + | 0.263039i | ||||
\(967\) | −1856.93 | −1.92030 | −0.960150 | − | 0.279484i | \(-0.909837\pi\) | ||||
−0.960150 | + | 0.279484i | \(0.909837\pi\) | |||||||
\(968\) | − | 215.147i | − | 0.222259i | ||||||
\(969\) | −61.9632 | − | 9.93136i | −0.0639455 | − | 0.0102491i | ||||
\(970\) | −757.542 | −0.780971 | ||||||||
\(971\) | − | 407.887i | − | 0.420069i | −0.977694 | − | 0.210034i | \(-0.932642\pi\) | ||
0.977694 | − | 0.210034i | \(-0.0673576\pi\) | |||||||
\(972\) | 842.368 | − | 826.952i | 0.866634 | − | 0.850773i | ||||
\(973\) | −558.786 | −0.574292 | ||||||||
\(974\) | − | 2350.27i | − | 2.41300i | ||||||
\(975\) | 60.7462 | − | 379.004i | 0.0623038 | − | 0.388722i | ||||
\(976\) | −871.753 | −0.893189 | ||||||||
\(977\) | − | 531.210i | − | 0.543716i | −0.962337 | − | 0.271858i | \(-0.912362\pi\) | ||
0.962337 | − | 0.271858i | \(-0.0876380\pi\) | |||||||
\(978\) | −1408.13 | − | 225.693i | −1.43980 | − | 0.230769i | ||||
\(979\) | 1052.13 | 1.07470 | ||||||||
\(980\) | − | 517.916i | − | 0.528486i | ||||||
\(981\) | 33.0246 | + | 10.8654i | 0.0336642 | + | 0.0110758i | ||||
\(982\) | 1827.32 | 1.86082 | ||||||||
\(983\) | − | 707.841i | − | 0.720082i | −0.932936 | − | 0.360041i | \(-0.882763\pi\) | ||
0.932936 | − | 0.360041i | \(-0.117237\pi\) | |||||||
\(984\) | −7.62302 | + | 47.5611i | −0.00774697 | + | 0.0483345i | ||||
\(985\) | −776.509 | −0.788334 | ||||||||
\(986\) | − | 5.77443i | − | 0.00585642i | ||||||
\(987\) | −687.846 | − | 110.247i | −0.696906 | − | 0.111699i | ||||
\(988\) | −983.213 | −0.995155 | ||||||||
\(989\) | − | 379.327i | − | 0.383546i | ||||||
\(990\) | 360.531 | − | 1095.81i | 0.364173 | − | 1.10688i | ||||
\(991\) | 237.797 | 0.239957 | 0.119978 | − | 0.992777i | \(-0.461717\pi\) | ||||
0.119978 | + | 0.992777i | \(0.461717\pi\) | |||||||
\(992\) | 1157.96i | 1.16730i | ||||||||
\(993\) | −63.4014 | + | 395.570i | −0.0638483 | + | 0.398359i | ||||
\(994\) | 524.991 | 0.528160 | ||||||||
\(995\) | − | 80.2845i | − | 0.0806879i | ||||||
\(996\) | −2055.78 | − | 329.497i | −2.06403 | − | 0.330820i | ||||
\(997\) | −1298.45 | −1.30235 | −0.651176 | − | 0.758927i | \(-0.725724\pi\) | ||||
−0.651176 | + | 0.758927i | \(0.725724\pi\) | |||||||
\(998\) | − | 1395.65i | − | 1.39844i | ||||||
\(999\) | −5.23962 | + | 10.1440i | −0.00524486 | + | 0.0101541i |
(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 | 177.3.b.a.119.7 | ✓ | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.32 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.7 | ✓ | 38 | 1.1 | even | 1 | trivial | |
177.3.b.a.119.32 | yes | 38 | 3.2 | odd | 2 | inner |