Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [203,3,Mod(115,203)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(203, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("203.115");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 203 = 7 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 203.i (of order \(6\), degree \(2\), 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: | \(5.53134936651\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 115.6 | ||
Character | \(\chi\) | \(=\) | 203.115 |
Dual form | 203.3.i.a.173.6 |
$q$-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 \(\left(\mathbb{Z}/203\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(176\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75567 | + | 1.59098i | −1.37783 | + | 0.795492i | −0.991898 | − | 0.127034i | \(-0.959454\pi\) |
−0.385935 | + | 0.922526i | \(0.626121\pi\) | |||||||
\(3\) | −1.54266 | + | 2.67196i | −0.514220 | + | 0.890655i | 0.485644 | + | 0.874157i | \(0.338585\pi\) |
−0.999864 | + | 0.0164982i | \(0.994748\pi\) | |||||||
\(4\) | 3.06246 | − | 5.30434i | 0.765616 | − | 1.32609i | ||||
\(5\) | 0.876658 | − | 0.506139i | 0.175332 | − | 0.101228i | −0.409766 | − | 0.912191i | \(-0.634390\pi\) |
0.585097 | + | 0.810963i | \(0.301056\pi\) | |||||||
\(6\) | − | 9.81739i | − | 1.63623i | ||||||
\(7\) | 5.64064 | + | 4.14526i | 0.805806 | + | 0.592180i | ||||
\(8\) | 6.76145i | 0.845181i | ||||||||
\(9\) | −0.259596 | − | 0.449633i | −0.0288439 | − | 0.0499592i | ||||
\(10\) | −1.61052 | + | 2.78950i | −0.161052 | + | 0.278950i | ||||
\(11\) | 14.1898 | + | 8.19249i | 1.28998 | + | 0.744772i | 0.978651 | − | 0.205529i | \(-0.0658915\pi\) |
0.311332 | + | 0.950301i | \(0.399225\pi\) | |||||||
\(12\) | 9.44868 | + | 16.3656i | 0.787390 | + | 1.36380i | ||||
\(13\) | 10.0751i | 0.775010i | 0.921868 | + | 0.387505i | \(0.126663\pi\) | ||||
−0.921868 | + | 0.387505i | \(0.873337\pi\) | |||||||
\(14\) | −22.1388 | − | 2.44878i | −1.58134 | − | 0.174913i | ||||
\(15\) | 3.12320i | 0.208213i | ||||||||
\(16\) | 1.49249 | + | 2.58507i | 0.0932806 | + | 0.161567i | ||||
\(17\) | 11.6680 | − | 20.2096i | 0.686353 | − | 1.18880i | −0.286656 | − | 0.958034i | \(-0.592544\pi\) |
0.973009 | − | 0.230765i | \(-0.0741230\pi\) | |||||||
\(18\) | 1.43072 | + | 0.826025i | 0.0794843 | + | 0.0458903i | ||||
\(19\) | 8.40984 | + | 14.5663i | 0.442623 | + | 0.766646i | 0.997883 | − | 0.0650309i | \(-0.0207146\pi\) |
−0.555260 | + | 0.831677i | \(0.687381\pi\) | |||||||
\(20\) | − | 6.20012i | − | 0.310006i | ||||||
\(21\) | −19.7776 | + | 8.67687i | −0.941789 | + | 0.413184i | ||||
\(22\) | −52.1365 | −2.36984 | ||||||||
\(23\) | −16.2963 | − | 28.2260i | −0.708534 | − | 1.22722i | −0.965401 | − | 0.260770i | \(-0.916023\pi\) |
0.256867 | − | 0.966447i | \(-0.417310\pi\) | |||||||
\(24\) | −18.0664 | − | 10.4306i | −0.752765 | − | 0.434609i | ||||
\(25\) | −11.9876 | + | 20.7632i | −0.479506 | + | 0.830529i | ||||
\(26\) | −16.0294 | − | 27.7637i | −0.616515 | − | 1.06783i | ||||
\(27\) | −26.1660 | −0.969111 | ||||||||
\(28\) | 39.2621 | − | 17.2252i | 1.40222 | − | 0.615185i | ||||
\(29\) | 16.6705 | + | 23.7296i | 0.574846 | + | 0.818262i | ||||
\(30\) | −4.96896 | − | 8.60649i | −0.165632 | − | 0.286883i | ||||
\(31\) | 25.1602 | − | 43.5787i | 0.811619 | − | 1.40577i | −0.100111 | − | 0.994976i | \(-0.531920\pi\) |
0.911730 | − | 0.410789i | \(-0.134747\pi\) | |||||||
\(32\) | −31.6480 | − | 18.2720i | −0.988999 | − | 0.570999i | ||||
\(33\) | −43.7801 | + | 25.2765i | −1.32667 | + | 0.765953i | ||||
\(34\) | 74.2545i | 2.18396i | ||||||||
\(35\) | 7.04299 | + | 0.779027i | 0.201228 | + | 0.0222579i | ||||
\(36\) | −3.18001 | −0.0883335 | ||||||||
\(37\) | −55.8064 | + | 32.2198i | −1.50828 | + | 0.870807i | −0.508328 | + | 0.861164i | \(0.669736\pi\) |
−0.999954 | + | 0.00964318i | \(0.996930\pi\) | |||||||
\(38\) | −46.3494 | − | 26.7599i | −1.21972 | − | 0.704207i | ||||
\(39\) | −26.9204 | − | 15.5425i | −0.690267 | − | 0.398526i | ||||
\(40\) | 3.42223 | + | 5.92748i | 0.0855558 | + | 0.148187i | ||||
\(41\) | −15.6936 | −0.382770 | −0.191385 | − | 0.981515i | \(-0.561298\pi\) | ||||
−0.191385 | + | 0.981515i | \(0.561298\pi\) | |||||||
\(42\) | 40.6956 | − | 55.3764i | 0.968943 | − | 1.31848i | ||||
\(43\) | 18.3878i | 0.427623i | 0.976875 | + | 0.213811i | \(0.0685878\pi\) | ||||
−0.976875 | + | 0.213811i | \(0.931412\pi\) | |||||||
\(44\) | 86.9116 | − | 50.1784i | 1.97526 | − | 1.14042i | ||||
\(45\) | −0.455153 | − | 0.262783i | −0.0101145 | − | 0.00583961i | ||||
\(46\) | 89.8142 | + | 51.8543i | 1.95248 | + | 1.12727i | ||||
\(47\) | 16.9313 | + | 29.3259i | 0.360241 | + | 0.623956i | 0.988000 | − | 0.154451i | \(-0.0493610\pi\) |
−0.627759 | + | 0.778408i | \(0.716028\pi\) | |||||||
\(48\) | −9.20961 | −0.191867 | ||||||||
\(49\) | 14.6337 | + | 46.7638i | 0.298646 | + | 0.954364i | ||||
\(50\) | − | 76.2886i | − | 1.52577i | ||||||
\(51\) | 35.9995 | + | 62.3530i | 0.705873 | + | 1.22261i | ||||
\(52\) | 53.4420 | + | 30.8547i | 1.02773 | + | 0.593360i | ||||
\(53\) | 21.5982 | − | 37.4092i | 0.407514 | − | 0.705835i | −0.587097 | − | 0.809517i | \(-0.699729\pi\) |
0.994610 | + | 0.103682i | \(0.0330625\pi\) | |||||||
\(54\) | 72.1048 | − | 41.6297i | 1.33527 | − | 0.770920i | ||||
\(55\) | 16.5862 | 0.301566 | ||||||||
\(56\) | −28.0280 | + | 38.1389i | −0.500499 | + | 0.681052i | ||||
\(57\) | −51.8941 | −0.910422 | ||||||||
\(58\) | −83.6918 | − | 38.8683i | −1.44296 | − | 0.670143i | ||||
\(59\) | 6.98660 | + | 4.03371i | 0.118417 | + | 0.0683680i | 0.558039 | − | 0.829815i | \(-0.311554\pi\) |
−0.439622 | + | 0.898183i | \(0.644887\pi\) | |||||||
\(60\) | 16.5665 | + | 9.56468i | 0.276108 | + | 0.159411i | ||||
\(61\) | 20.7632 | + | 35.9628i | 0.340380 | + | 0.589555i | 0.984503 | − | 0.175367i | \(-0.0561111\pi\) |
−0.644124 | + | 0.764921i | \(0.722778\pi\) | |||||||
\(62\) | 160.118i | 2.58255i | ||||||||
\(63\) | 0.399558 | − | 3.61231i | 0.00634220 | − | 0.0573382i | ||||
\(64\) | 104.342 | 1.63034 | ||||||||
\(65\) | 5.09941 | + | 8.83244i | 0.0784525 | + | 0.135884i | ||||
\(66\) | 80.4289 | − | 139.307i | 1.21862 | − | 2.11071i | ||||
\(67\) | 20.7405 | − | 35.9236i | 0.309560 | − | 0.536174i | −0.668706 | − | 0.743527i | \(-0.733152\pi\) |
0.978266 | + | 0.207353i | \(0.0664849\pi\) | |||||||
\(68\) | −71.4657 | − | 123.782i | −1.05097 | − | 1.82033i | ||||
\(69\) | 100.558 | 1.45737 | ||||||||
\(70\) | −20.6475 | + | 9.05855i | −0.294965 | + | 0.129408i | ||||
\(71\) | −107.470 | −1.51366 | −0.756829 | − | 0.653613i | \(-0.773252\pi\) | ||||
−0.756829 | + | 0.653613i | \(0.773252\pi\) | |||||||
\(72\) | 3.04017 | − | 1.75524i | 0.0422246 | − | 0.0243784i | ||||
\(73\) | −1.79288 | + | 3.10536i | −0.0245600 | + | 0.0425392i | −0.878044 | − | 0.478580i | \(-0.841152\pi\) |
0.853484 | + | 0.521119i | \(0.174485\pi\) | |||||||
\(74\) | 102.523 | − | 177.574i | 1.38544 | − | 2.39965i | ||||
\(75\) | −36.9857 | − | 64.0611i | −0.493143 | − | 0.854148i | ||||
\(76\) | 103.019 | 1.35552 | ||||||||
\(77\) | 46.0797 | + | 105.031i | 0.598437 | + | 1.36404i | ||||
\(78\) | 98.9115 | 1.26810 | ||||||||
\(79\) | 2.06511 | − | 1.19229i | 0.0261406 | − | 0.0150923i | −0.486873 | − | 0.873473i | \(-0.661862\pi\) |
0.513013 | + | 0.858381i | \(0.328529\pi\) | |||||||
\(80\) | 2.61680 | + | 1.51081i | 0.0327101 | + | 0.0188852i | ||||
\(81\) | 42.7016 | − | 73.9613i | 0.527180 | − | 0.913103i | ||||
\(82\) | 43.2462 | − | 24.9682i | 0.527393 | − | 0.304490i | ||||
\(83\) | 111.227i | 1.34008i | 0.742325 | + | 0.670040i | \(0.233723\pi\) | ||||
−0.742325 | + | 0.670040i | \(0.766277\pi\) | |||||||
\(84\) | −14.5430 | + | 131.480i | −0.173131 | + | 1.56523i | ||||
\(85\) | − | 23.6225i | − | 0.277912i | ||||||
\(86\) | −29.2547 | − | 50.6706i | −0.340170 | − | 0.589192i | ||||
\(87\) | −89.1216 | + | 7.93636i | −1.02439 | + | 0.0912225i | ||||
\(88\) | −55.3932 | + | 95.9438i | −0.629468 | + | 1.09027i | ||||
\(89\) | −17.6781 | − | 30.6194i | −0.198630 | − | 0.344038i | 0.749454 | − | 0.662056i | \(-0.230316\pi\) |
−0.948085 | + | 0.318018i | \(0.896983\pi\) | |||||||
\(90\) | 1.67233 | 0.0185815 | ||||||||
\(91\) | −41.7640 | + | 56.8302i | −0.458945 | + | 0.624508i | ||||
\(92\) | −199.627 | −2.16986 | ||||||||
\(93\) | 77.6272 | + | 134.454i | 0.834701 | + | 1.44574i | ||||
\(94\) | −93.3143 | − | 53.8750i | −0.992705 | − | 0.573138i | ||||
\(95\) | 14.7451 | + | 8.51309i | 0.155212 | + | 0.0896115i | ||||
\(96\) | 97.6440 | − | 56.3748i | 1.01713 | − | 0.587238i | ||||
\(97\) | 3.94137 | 0.0406327 | 0.0203163 | − | 0.999794i | \(-0.493533\pi\) | ||||
0.0203163 | + | 0.999794i | \(0.493533\pi\) | |||||||
\(98\) | −114.726 | − | 105.584i | −1.17067 | − | 1.07738i | ||||
\(99\) | − | 8.50694i | − | 0.0859287i | ||||||
\(100\) | 73.4235 | + | 127.173i | 0.734235 | + | 1.27173i | ||||
\(101\) | 58.4026 | − | 101.156i | 0.578243 | − | 1.00155i | −0.417438 | − | 0.908705i | \(-0.637072\pi\) |
0.995681 | − | 0.0928410i | \(-0.0295948\pi\) | |||||||
\(102\) | −198.405 | − | 114.549i | −1.94515 | − | 1.12303i | ||||
\(103\) | 33.8259 | − | 19.5294i | 0.328406 | − | 0.189606i | −0.326727 | − | 0.945119i | \(-0.605946\pi\) |
0.655133 | + | 0.755513i | \(0.272612\pi\) | |||||||
\(104\) | −68.1225 | −0.655024 | ||||||||
\(105\) | −12.9465 | + | 17.6168i | −0.123300 | + | 0.167779i | ||||
\(106\) | 137.450i | 1.29670i | ||||||||
\(107\) | −84.0892 | − | 145.647i | −0.785880 | − | 1.36118i | −0.928472 | − | 0.371403i | \(-0.878877\pi\) |
0.142591 | − | 0.989782i | \(-0.454457\pi\) | |||||||
\(108\) | −80.1324 | + | 138.793i | −0.741967 | + | 1.28512i | ||||
\(109\) | −75.8067 | + | 131.301i | −0.695474 | + | 1.20460i | 0.274546 | + | 0.961574i | \(0.411472\pi\) |
−0.970021 | + | 0.243023i | \(0.921861\pi\) | |||||||
\(110\) | −45.7059 | + | 26.3883i | −0.415508 | + | 0.239894i | ||||
\(111\) | − | 198.817i | − | 1.79114i | ||||||
\(112\) | −2.29718 | + | 20.7682i | −0.0205105 | + | 0.185430i | ||||
\(113\) | 73.4182i | 0.649719i | 0.945762 | + | 0.324859i | \(0.105317\pi\) | ||||
−0.945762 | + | 0.324859i | \(0.894683\pi\) | |||||||
\(114\) | 143.003 | − | 82.5627i | 1.25441 | − | 0.724234i | ||||
\(115\) | −28.5725 | − | 16.4964i | −0.248457 | − | 0.143447i | ||||
\(116\) | 176.923 | − | 15.7551i | 1.52520 | − | 0.135820i | ||||
\(117\) | 4.53011 | − | 2.61546i | 0.0387189 | − | 0.0223544i | ||||
\(118\) | −25.6703 | −0.217545 | ||||||||
\(119\) | 149.589 | − | 65.6281i | 1.25705 | − | 0.551497i | ||||
\(120\) | −21.1173 | −0.175978 | ||||||||
\(121\) | 73.7339 | + | 127.711i | 0.609371 | + | 1.05546i | ||||
\(122\) | −114.433 | − | 66.0677i | −0.937972 | − | 0.541539i | ||||
\(123\) | 24.2098 | − | 41.9326i | 0.196828 | − | 0.340916i | ||||
\(124\) | −154.104 | − | 266.917i | −1.24278 | − | 2.15255i | ||||
\(125\) | 49.5766i | 0.396613i | ||||||||
\(126\) | 4.64608 | + | 10.5900i | 0.0368736 | + | 0.0840476i | ||||
\(127\) | − | 1.21770i | − | 0.00958817i | −0.999989 | − | 0.00479409i | \(-0.998474\pi\) | ||
0.999989 | − | 0.00479409i | \(-0.00152601\pi\) | |||||||
\(128\) | −160.939 | + | 92.9182i | −1.25734 | + | 0.725923i | ||||
\(129\) | −49.1315 | − | 28.3661i | −0.380864 | − | 0.219892i | ||||
\(130\) | −28.1046 | − | 16.2262i | −0.216189 | − | 0.124817i | ||||
\(131\) | −13.6271 | − | 23.6028i | −0.104024 | − | 0.180174i | 0.809315 | − | 0.587375i | \(-0.199838\pi\) |
−0.913339 | + | 0.407200i | \(0.866505\pi\) | |||||||
\(132\) | 309.633i | 2.34570i | ||||||||
\(133\) | −12.9441 | + | 117.024i | −0.0973238 | + | 0.879880i | ||||
\(134\) | 131.991i | 0.985010i | ||||||||
\(135\) | −22.9386 | + | 13.2436i | −0.169916 | + | 0.0981009i | ||||
\(136\) | 136.646 | + | 78.8927i | 1.00475 | + | 0.580093i | ||||
\(137\) | 48.2383 | + | 27.8504i | 0.352105 | + | 0.203288i | 0.665612 | − | 0.746298i | \(-0.268171\pi\) |
−0.313507 | + | 0.949586i | \(0.601504\pi\) | |||||||
\(138\) | −277.106 | + | 159.987i | −2.00801 | + | 1.15933i | ||||
\(139\) | − | 172.056i | − | 1.23781i | −0.785465 | − | 0.618906i | \(-0.787576\pi\) | ||
0.785465 | − | 0.618906i | \(-0.212424\pi\) | |||||||
\(140\) | 25.7011 | − | 34.9727i | 0.183579 | − | 0.249805i | ||||
\(141\) | −104.477 | −0.740973 | ||||||||
\(142\) | 296.151 | − | 170.983i | 2.08557 | − | 1.20410i | ||||
\(143\) | −82.5405 | + | 142.964i | −0.577206 | + | 0.999750i | ||||
\(144\) | 0.774887 | − | 1.34214i | 0.00538116 | − | 0.00932044i | ||||
\(145\) | 26.6248 | + | 12.3651i | 0.183619 | + | 0.0852768i | ||||
\(146\) | − | 11.4098i | − | 0.0781493i | ||||||
\(147\) | −147.526 | − | 33.0400i | −1.00358 | − | 0.224762i | ||||
\(148\) | 394.688i | 2.66681i | ||||||||
\(149\) | 40.2240 | + | 69.6700i | 0.269960 | + | 0.467584i | 0.968851 | − | 0.247644i | \(-0.0796563\pi\) |
−0.698891 | + | 0.715228i | \(0.746323\pi\) | |||||||
\(150\) | 203.841 | + | 117.687i | 1.35894 | + | 0.784583i | ||||
\(151\) | 12.2778 | − | 21.2657i | 0.0813097 | − | 0.140832i | −0.822503 | − | 0.568761i | \(-0.807423\pi\) |
0.903813 | + | 0.427928i | \(0.140756\pi\) | |||||||
\(152\) | −98.4891 | + | 56.8627i | −0.647955 | + | 0.374097i | ||||
\(153\) | −12.1158 | −0.0791886 | ||||||||
\(154\) | −294.083 | − | 216.119i | −1.90963 | − | 1.40337i | ||||
\(155\) | − | 50.9382i | − | 0.328633i | ||||||
\(156\) | −164.885 | + | 95.1967i | −1.05696 | + | 0.610235i | ||||
\(157\) | 138.204 | − | 239.376i | 0.880279 | − | 1.52469i | 0.0292472 | − | 0.999572i | \(-0.490689\pi\) |
0.851031 | − | 0.525115i | \(-0.175978\pi\) | |||||||
\(158\) | −3.79384 | + | 6.57112i | −0.0240116 | + | 0.0415893i | ||||
\(159\) | 66.6374 | + | 115.419i | 0.419103 | + | 0.725908i | ||||
\(160\) | −36.9926 | −0.231204 | ||||||||
\(161\) | 25.0825 | − | 226.765i | 0.155792 | − | 1.40848i | ||||
\(162\) | 271.750i | 1.67747i | ||||||||
\(163\) | −45.8286 | + | 26.4591i | −0.281157 | + | 0.162326i | −0.633947 | − | 0.773376i | \(-0.718566\pi\) |
0.352790 | + | 0.935702i | \(0.385233\pi\) | |||||||
\(164\) | −48.0609 | + | 83.2440i | −0.293054 | + | 0.507585i | ||||
\(165\) | −25.5868 | + | 44.3176i | −0.155071 | + | 0.268592i | ||||
\(166\) | −176.960 | − | 306.504i | −1.06602 | − | 1.84641i | ||||
\(167\) | − | 304.586i | − | 1.82387i | −0.410333 | − | 0.911936i | \(-0.634588\pi\) | ||
0.410333 | − | 0.911936i | \(-0.365412\pi\) | |||||||
\(168\) | −58.6682 | − | 133.725i | −0.349216 | − | 0.795983i | ||||
\(169\) | 67.4917 | 0.399359 | ||||||||
\(170\) | 37.5831 | + | 65.0958i | 0.221077 | + | 0.382916i | ||||
\(171\) | 4.36631 | − | 7.56268i | 0.0255340 | − | 0.0442262i | ||||
\(172\) | 97.5350 | + | 56.3119i | 0.567064 | + | 0.327395i | ||||
\(173\) | 195.657 | − | 112.963i | 1.13097 | − | 0.652963i | 0.186788 | − | 0.982400i | \(-0.440192\pi\) |
0.944177 | + | 0.329437i | \(0.106859\pi\) | |||||||
\(174\) | 232.963 | − | 163.661i | 1.33887 | − | 0.940580i | ||||
\(175\) | −153.687 | + | 67.4259i | −0.878211 | + | 0.385291i | ||||
\(176\) | 48.9088i | 0.277891i | ||||||||
\(177\) | −21.5559 | + | 12.4453i | −0.121785 | + | 0.0703124i | ||||
\(178\) | 97.4300 | + | 56.2512i | 0.547359 | + | 0.316018i | ||||
\(179\) | −33.0000 | + | 57.1578i | −0.184358 | + | 0.319317i | −0.943360 | − | 0.331771i | \(-0.892354\pi\) |
0.759002 | + | 0.651088i | \(0.225687\pi\) | |||||||
\(180\) | −2.78778 | + | 1.60952i | −0.0154877 | + | 0.00894180i | ||||
\(181\) | − | 143.394i | − | 0.792230i | −0.918201 | − | 0.396115i | \(-0.870358\pi\) | ||
0.918201 | − | 0.396115i | \(-0.129642\pi\) | |||||||
\(182\) | 24.6717 | − | 223.051i | 0.135559 | − | 1.22555i | ||||
\(183\) | −128.122 | −0.700120 | ||||||||
\(184\) | 190.849 | − | 110.187i | 1.03722 | − | 0.598840i | ||||
\(185\) | −32.6154 | + | 56.4916i | −0.176300 | + | 0.305360i | ||||
\(186\) | −427.829 | − | 247.007i | −2.30016 | − | 1.32800i | ||||
\(187\) | 331.134 | − | 191.180i | 1.77077 | − | 1.02235i | ||||
\(188\) | 207.406 | 1.10323 | ||||||||
\(189\) | −147.593 | − | 108.465i | −0.780915 | − | 0.573888i | ||||
\(190\) | −54.1768 | −0.285141 | ||||||||
\(191\) | −76.5769 | + | 44.2117i | −0.400926 | + | 0.231475i | −0.686884 | − | 0.726767i | \(-0.741022\pi\) |
0.285957 | + | 0.958242i | \(0.407688\pi\) | |||||||
\(192\) | −160.964 | + | 278.797i | −0.838353 | + | 1.45207i | ||||
\(193\) | 104.204 | + | 60.1619i | 0.539915 | + | 0.311720i | 0.745044 | − | 0.667015i | \(-0.232428\pi\) |
−0.205130 | + | 0.978735i | \(0.565762\pi\) | |||||||
\(194\) | −10.8611 | + | 6.27066i | −0.0559850 | + | 0.0323230i | ||||
\(195\) | −31.4666 | −0.161367 | ||||||||
\(196\) | 292.866 | + | 65.5906i | 1.49422 | + | 0.334646i | ||||
\(197\) | −136.484 | −0.692811 | −0.346405 | − | 0.938085i | \(-0.612598\pi\) | ||||
−0.346405 | + | 0.938085i | \(0.612598\pi\) | |||||||
\(198\) | 13.5344 | + | 23.4423i | 0.0683556 | + | 0.118395i | ||||
\(199\) | 215.879 | + | 124.638i | 1.08482 | + | 0.626320i | 0.932192 | − | 0.361964i | \(-0.117894\pi\) |
0.152626 | + | 0.988284i | \(0.451227\pi\) | |||||||
\(200\) | −140.389 | − | 81.0539i | −0.701947 | − | 0.405269i | ||||
\(201\) | 63.9911 | + | 110.836i | 0.318364 | + | 0.551422i | ||||
\(202\) | 371.670i | 1.83995i | ||||||||
\(203\) | −4.33288 | + | 202.954i | −0.0213442 | + | 0.999772i | ||||
\(204\) | 440.989 | 2.16171 | ||||||||
\(205\) | −13.7579 | + | 7.94311i | −0.0671116 | + | 0.0387469i | ||||
\(206\) | −62.1418 | + | 107.633i | −0.301659 | + | 0.522489i | ||||
\(207\) | −8.46089 | + | 14.6547i | −0.0408738 | + | 0.0707956i | ||||
\(208\) | −26.0449 | + | 15.0370i | −0.125216 | + | 0.0722934i | ||||
\(209\) | 275.590i | 1.31861i | ||||||||
\(210\) | 7.64801 | − | 69.1437i | 0.0364191 | − | 0.329256i | ||||
\(211\) | − | 259.721i | − | 1.23091i | −0.788173 | − | 0.615453i | \(-0.788973\pi\) | ||
0.788173 | − | 0.615453i | \(-0.211027\pi\) | |||||||
\(212\) | −132.288 | − | 229.129i | −0.623998 | − | 1.08080i | ||||
\(213\) | 165.789 | − | 287.155i | 0.778353 | − | 1.34815i | ||||
\(214\) | 463.443 | + | 267.569i | 2.16562 | + | 1.25032i | ||||
\(215\) | 9.30676 | + | 16.1198i | 0.0432873 | + | 0.0749757i | ||||
\(216\) | − | 176.920i | − | 0.819075i | ||||||
\(217\) | 322.565 | − | 141.516i | 1.48647 | − | 0.652150i | ||||
\(218\) | − | 482.429i | − | 2.21298i | ||||||
\(219\) | −5.53161 | − | 9.58104i | −0.0252585 | − | 0.0437490i | ||||
\(220\) | 50.7945 | − | 87.9786i | 0.230884 | − | 0.399903i | ||||
\(221\) | 203.614 | + | 117.557i | 0.921331 | + | 0.531931i | ||||
\(222\) | 316.315 | + | 547.873i | 1.42484 | + | 2.46790i | ||||
\(223\) | 20.5108i | 0.0919765i | 0.998942 | + | 0.0459883i | \(0.0146437\pi\) | ||||
−0.998942 | + | 0.0459883i | \(0.985356\pi\) | |||||||
\(224\) | −102.773 | − | 234.255i | −0.458807 | − | 1.04578i | ||||
\(225\) | 12.4478 | 0.0553234 | ||||||||
\(226\) | −116.807 | − | 202.316i | −0.516846 | − | 0.895204i | ||||
\(227\) | 302.248 | + | 174.503i | 1.33149 | + | 0.768737i | 0.985528 | − | 0.169512i | \(-0.0542190\pi\) |
0.345963 | + | 0.938248i | \(0.387552\pi\) | |||||||
\(228\) | −158.924 | + | 275.264i | −0.697034 | + | 1.20730i | ||||
\(229\) | 112.848 | + | 195.458i | 0.492786 | + | 0.853530i | 0.999965 | − | 0.00831004i | \(-0.00264520\pi\) |
−0.507179 | + | 0.861840i | \(0.669312\pi\) | |||||||
\(230\) | 104.982 | 0.456443 | ||||||||
\(231\) | −351.725 | − | 38.9044i | −1.52262 | − | 0.168417i | ||||
\(232\) | −160.447 | + | 112.717i | −0.691580 | + | 0.485849i | ||||
\(233\) | 137.030 | + | 237.344i | 0.588113 | + | 1.01864i | 0.994479 | + | 0.104932i | \(0.0334624\pi\) |
−0.406366 | + | 0.913710i | \(0.633204\pi\) | |||||||
\(234\) | −8.32231 | + | 14.4147i | −0.0355654 | + | 0.0616011i | ||||
\(235\) | 29.6860 | + | 17.1392i | 0.126323 | + | 0.0729328i | ||||
\(236\) | 42.7924 | − | 24.7062i | 0.181324 | − | 0.104687i | ||||
\(237\) | 7.35720i | 0.0310430i | ||||||||
\(238\) | −307.804 | + | 418.843i | −1.29329 | + | 1.75984i | ||||
\(239\) | −85.7898 | −0.358953 | −0.179477 | − | 0.983762i | \(-0.557440\pi\) | ||||
−0.179477 | + | 0.983762i | \(0.557440\pi\) | |||||||
\(240\) | −8.07368 | + | 4.66134i | −0.0336403 | + | 0.0194222i | ||||
\(241\) | 40.4119 | + | 23.3318i | 0.167684 | + | 0.0968124i | 0.581493 | − | 0.813551i | \(-0.302469\pi\) |
−0.413809 | + | 0.910364i | \(0.635802\pi\) | |||||||
\(242\) | −406.372 | − | 234.619i | −1.67922 | − | 0.969500i | ||||
\(243\) | 14.0010 | + | 24.2504i | 0.0576172 | + | 0.0997960i | ||||
\(244\) | 254.346 | 1.04240 | ||||||||
\(245\) | 36.4977 | + | 33.5892i | 0.148970 | + | 0.137099i | ||||
\(246\) | 154.070i | 0.626300i | ||||||||
\(247\) | −146.757 | + | 84.7303i | −0.594158 | + | 0.343038i | ||||
\(248\) | 294.655 | + | 170.119i | 1.18813 | + | 0.685965i | ||||
\(249\) | −297.194 | − | 171.585i | −1.19355 | − | 0.689096i | ||||
\(250\) | −78.8756 | − | 136.616i | −0.315502 | − | 0.546466i | ||||
\(251\) | 313.830 | 1.25032 | 0.625160 | − | 0.780497i | \(-0.285034\pi\) | ||||
0.625160 | + | 0.780497i | \(0.285034\pi\) | |||||||
\(252\) | −17.9373 | − | 13.1820i | −0.0711797 | − | 0.0523093i | ||||
\(253\) | − | 534.029i | − | 2.11079i | ||||||
\(254\) | 1.93734 | + | 3.35557i | 0.00762732 | + | 0.0132109i | ||||
\(255\) | 63.1185 | + | 36.4415i | 0.247524 | + | 0.142908i | ||||
\(256\) | 86.9794 | − | 150.653i | 0.339763 | − | 0.588487i | ||||
\(257\) | −102.768 | + | 59.3334i | −0.399877 | + | 0.230869i | −0.686431 | − | 0.727195i | \(-0.740824\pi\) |
0.286554 | + | 0.958064i | \(0.407490\pi\) | |||||||
\(258\) | 180.520 | 0.699689 | ||||||||
\(259\) | −448.344 | − | 49.5914i | −1.73106 | − | 0.191473i | ||||
\(260\) | 62.4671 | 0.240258 | ||||||||
\(261\) | 6.34201 | − | 13.6557i | 0.0242989 | − | 0.0523207i | ||||
\(262\) | 75.1035 | + | 43.3610i | 0.286655 | + | 0.165500i | ||||
\(263\) | −294.952 | − | 170.291i | −1.12149 | − | 0.647494i | −0.179711 | − | 0.983720i | \(-0.557516\pi\) |
−0.941781 | + | 0.336226i | \(0.890849\pi\) | |||||||
\(264\) | −170.906 | − | 296.017i | −0.647369 | − | 1.12128i | ||||
\(265\) | − | 43.7268i | − | 0.165007i | ||||||
\(266\) | −150.514 | − | 343.073i | −0.565842 | − | 1.28975i | ||||
\(267\) | 109.085 | 0.408559 | ||||||||
\(268\) | −127.034 | − | 220.030i | −0.474008 | − | 0.821006i | ||||
\(269\) | −83.0226 | + | 143.799i | −0.308634 | + | 0.534570i | −0.978064 | − | 0.208305i | \(-0.933205\pi\) |
0.669430 | + | 0.742875i | \(0.266539\pi\) | |||||||
\(270\) | 42.1408 | − | 72.9900i | 0.156077 | − | 0.270333i | ||||
\(271\) | −235.094 | − | 407.196i | −0.867507 | − | 1.50257i | −0.864536 | − | 0.502571i | \(-0.832388\pi\) |
−0.00297125 | − | 0.999996i | \(-0.500946\pi\) | |||||||
\(272\) | 69.6575 | 0.256094 | ||||||||
\(273\) | −87.4206 | − | 199.262i | −0.320222 | − | 0.729896i | ||||
\(274\) | −177.238 | −0.646855 | ||||||||
\(275\) | −340.205 | + | 196.417i | −1.23711 | + | 0.714245i | ||||
\(276\) | 307.957 | − | 533.397i | 1.11578 | − | 1.93260i | ||||
\(277\) | −251.884 | + | 436.276i | −0.909328 | + | 1.57500i | −0.0943293 | + | 0.995541i | \(0.530071\pi\) |
−0.814999 | + | 0.579462i | \(0.803263\pi\) | |||||||
\(278\) | 273.738 | + | 474.128i | 0.984670 | + | 1.70550i | ||||
\(279\) | −26.1259 | −0.0936412 | ||||||||
\(280\) | −5.26735 | + | 47.6208i | −0.0188120 | + | 0.170074i | ||||
\(281\) | 403.345 | 1.43539 | 0.717696 | − | 0.696356i | \(-0.245197\pi\) | ||||
0.717696 | + | 0.696356i | \(0.245197\pi\) | |||||||
\(282\) | 287.904 | − | 166.222i | 1.02094 | − | 0.589438i | ||||
\(283\) | −73.9391 | − | 42.6888i | −0.261269 | − | 0.150844i | 0.363644 | − | 0.931538i | \(-0.381532\pi\) |
−0.624913 | + | 0.780694i | \(0.714866\pi\) | |||||||
\(284\) | −329.122 | + | 570.056i | −1.15888 | + | 2.00724i | ||||
\(285\) | −45.4933 | + | 26.2656i | −0.159626 | + | 0.0921600i | ||||
\(286\) | − | 525.282i | − | 1.83665i | ||||||
\(287\) | −88.5217 | − | 65.0538i | −0.308438 | − | 0.226668i | ||||
\(288\) | 18.9733i | 0.0658794i | ||||||||
\(289\) | −127.785 | − | 221.330i | −0.442162 | − | 0.765847i | ||||
\(290\) | −93.0418 | + | 8.28546i | −0.320834 | + | 0.0285705i | ||||
\(291\) | −6.08019 | + | 10.5312i | −0.0208941 | + | 0.0361897i | ||||
\(292\) | 10.9813 | + | 19.0201i | 0.0376071 | + | 0.0651374i | ||||
\(293\) | −483.592 | −1.65048 | −0.825242 | − | 0.564779i | \(-0.808962\pi\) | ||||
−0.825242 | + | 0.564779i | \(0.808962\pi\) | |||||||
\(294\) | 459.099 | − | 143.664i | 1.56156 | − | 0.488654i | ||||
\(295\) | 8.16647 | 0.0276830 | ||||||||
\(296\) | −217.853 | − | 377.332i | −0.735990 | − | 1.27477i | ||||
\(297\) | −371.291 | − | 214.365i | −1.25014 | − | 0.721767i | ||||
\(298\) | −221.688 | − | 127.992i | −0.743919 | − | 0.429502i | ||||
\(299\) | 284.381 | − | 164.187i | 0.951106 | − | 0.549121i | ||||
\(300\) | −453.070 | −1.51023 | ||||||||
\(301\) | −76.2221 | + | 103.719i | −0.253229 | + | 0.344581i | ||||
\(302\) | 78.1349i | 0.258725i | ||||||||
\(303\) | 180.190 | + | 312.099i | 0.594688 | + | 1.03003i | ||||
\(304\) | −25.1032 | + | 43.4800i | −0.0825763 | + | 0.143026i | ||||
\(305\) | 36.4044 | + | 21.0181i | 0.119359 | + | 0.0689117i | ||||
\(306\) | 33.3872 | − | 19.2761i | 0.109109 | − | 0.0629939i | ||||
\(307\) | 322.858 | 1.05165 | 0.525827 | − | 0.850592i | \(-0.323756\pi\) | ||||
0.525827 | + | 0.850592i | \(0.323756\pi\) | |||||||
\(308\) | 698.240 | + | 77.2325i | 2.26701 | + | 0.250755i | ||||
\(309\) | 120.509i | 0.389996i | ||||||||
\(310\) | 81.0419 | + | 140.369i | 0.261425 | + | 0.452802i | ||||
\(311\) | −99.0285 | + | 171.522i | −0.318419 | + | 0.551519i | −0.980158 | − | 0.198216i | \(-0.936485\pi\) |
0.661739 | + | 0.749734i | \(0.269819\pi\) | |||||||
\(312\) | 105.090 | − | 182.021i | 0.336826 | − | 0.583400i | ||||
\(313\) | −426.244 | + | 246.092i | −1.36180 | + | 0.786236i | −0.989864 | − | 0.142022i | \(-0.954640\pi\) |
−0.371937 | + | 0.928258i | \(0.621306\pi\) | |||||||
\(314\) | 879.520i | 2.80102i | ||||||||
\(315\) | −1.47805 | − | 3.36899i | −0.00469223 | − | 0.0106952i | ||||
\(316\) | − | 14.6054i | − | 0.0462196i | ||||||
\(317\) | 61.9441 | − | 35.7635i | 0.195407 | − | 0.112818i | −0.399104 | − | 0.916906i | \(-0.630679\pi\) |
0.594511 | + | 0.804087i | \(0.297345\pi\) | |||||||
\(318\) | −367.261 | − | 212.038i | −1.15491 | − | 0.666787i | ||||
\(319\) | 42.1471 | + | 473.292i | 0.132122 | + | 1.48367i | ||||
\(320\) | 91.4720 | − | 52.8114i | 0.285850 | − | 0.165035i | ||||
\(321\) | 518.884 | 1.61646 | ||||||||
\(322\) | 291.661 | + | 664.795i | 0.905778 | + | 2.06458i | ||||
\(323\) | 392.504 | 1.21518 | ||||||||
\(324\) | −261.544 | − | 453.008i | −0.807235 | − | 1.39817i | ||||
\(325\) | −209.192 | − | 120.777i | −0.643668 | − | 0.371622i | ||||
\(326\) | 84.1922 | − | 145.825i | 0.258258 | − | 0.447316i | ||||
\(327\) | −233.888 | − | 405.106i | −0.715253 | − | 1.23885i | ||||
\(328\) | − | 106.111i | − | 0.323510i | ||||||
\(329\) | −26.0600 | + | 235.602i | −0.0792097 | + | 0.716115i | ||||
\(330\) | − | 162.833i | − | 0.493432i | ||||||
\(331\) | −112.045 | + | 64.6893i | −0.338505 | + | 0.195436i | −0.659611 | − | 0.751607i | \(-0.729279\pi\) |
0.321106 | + | 0.947043i | \(0.395946\pi\) | |||||||
\(332\) | 589.984 | + | 340.628i | 1.77706 | + | 1.02599i | ||||
\(333\) | 28.9742 | + | 16.7283i | 0.0870096 | + | 0.0502350i | ||||
\(334\) | 484.592 | + | 839.339i | 1.45088 | + | 2.51299i | ||||
\(335\) | − | 41.9903i | − | 0.125344i | ||||||
\(336\) | −51.9481 | − | 38.1762i | −0.154607 | − | 0.113620i | ||||
\(337\) | 406.432i | 1.20603i | 0.797730 | + | 0.603015i | \(0.206034\pi\) | ||||
−0.797730 | + | 0.603015i | \(0.793966\pi\) | |||||||
\(338\) | −185.985 | + | 107.378i | −0.550250 | + | 0.317687i | ||||
\(339\) | −196.171 | − | 113.259i | −0.578675 | − | 0.334098i | ||||
\(340\) | −125.302 | − | 72.3431i | −0.368535 | − | 0.212774i | ||||
\(341\) | 714.037 | − | 412.249i | 2.09395 | − | 1.20894i | ||||
\(342\) | 27.7870i | 0.0812484i | ||||||||
\(343\) | −111.305 | + | 324.438i | −0.324504 | + | 0.945884i | ||||
\(344\) | −124.328 | −0.361419 | ||||||||
\(345\) | 88.1554 | − | 50.8965i | 0.255523 | − | 0.147526i | ||||
\(346\) | −359.444 | + | 622.574i | −1.03885 | + | 1.79935i | ||||
\(347\) | 123.000 | − | 213.041i | 0.354465 | − | 0.613952i | −0.632561 | − | 0.774511i | \(-0.717996\pi\) |
0.987026 | + | 0.160558i | \(0.0513295\pi\) | |||||||
\(348\) | −230.834 | + | 497.036i | −0.663317 | + | 1.42826i | ||||
\(349\) | − | 656.890i | − | 1.88221i | −0.338120 | − | 0.941103i | \(-0.609791\pi\) | ||
0.338120 | − | 0.941103i | \(-0.390209\pi\) | |||||||
\(350\) | 316.236 | − | 430.317i | 0.903532 | − | 1.22948i | ||||
\(351\) | − | 263.626i | − | 0.751071i | ||||||
\(352\) | −299.386 | − | 518.551i | −0.850528 | − | 1.47316i | ||||
\(353\) | 61.2120 | + | 35.3407i | 0.173405 | + | 0.100115i | 0.584190 | − | 0.811617i | \(-0.301412\pi\) |
−0.410785 | + | 0.911732i | \(0.634745\pi\) | |||||||
\(354\) | 39.6005 | − | 68.5901i | 0.111866 | − | 0.193757i | ||||
\(355\) | −94.2142 | + | 54.3946i | −0.265392 | + | 0.153224i | ||||
\(356\) | −216.554 | −0.608299 | ||||||||
\(357\) | −55.4089 | + | 500.938i | −0.155207 | + | 1.40319i | ||||
\(358\) | − | 210.010i | − | 0.586621i | ||||||
\(359\) | 48.9243 | − | 28.2465i | 0.136279 | − | 0.0786809i | −0.430310 | − | 0.902681i | \(-0.641596\pi\) |
0.566590 | + | 0.824000i | \(0.308263\pi\) | |||||||
\(360\) | 1.77679 | − | 3.07749i | 0.00493553 | − | 0.00854859i | ||||
\(361\) | 39.0491 | − | 67.6351i | 0.108169 | − | 0.187355i | ||||
\(362\) | 228.137 | + | 395.145i | 0.630213 | + | 1.09156i | ||||
\(363\) | −454.985 | −1.25340 | ||||||||
\(364\) | 173.546 | + | 395.571i | 0.476775 | + | 1.08673i | ||||
\(365\) | 3.62979i | 0.00994463i | ||||||||
\(366\) | 353.061 | − | 203.840i | 0.964648 | − | 0.556940i | ||||
\(367\) | 192.679 | − | 333.730i | 0.525011 | − | 0.909346i | −0.474565 | − | 0.880221i | \(-0.657394\pi\) |
0.999576 | − | 0.0291253i | \(-0.00927218\pi\) | |||||||
\(368\) | 48.6441 | − | 84.2540i | 0.132185 | − | 0.228951i | ||||
\(369\) | 4.07398 | + | 7.05633i | 0.0110406 | + | 0.0191229i | ||||
\(370\) | − | 207.563i | − | 0.560980i | ||||||
\(371\) | 276.899 | − | 121.482i | 0.746358 | − | 0.327444i | ||||
\(372\) | 950.922 | 2.55624 | ||||||||
\(373\) | 235.344 | + | 407.628i | 0.630949 | + | 1.09284i | 0.987358 | + | 0.158506i | \(0.0506677\pi\) |
−0.356409 | + | 0.934330i | \(0.615999\pi\) | |||||||
\(374\) | −608.329 | + | 1053.66i | −1.62655 | + | 2.81727i | ||||
\(375\) | −132.467 | − | 76.4798i | −0.353245 | − | 0.203946i | ||||
\(376\) | −198.286 | + | 114.480i | −0.527356 | + | 0.304469i | ||||
\(377\) | −239.079 | + | 167.958i | −0.634161 | + | 0.445511i | ||||
\(378\) | 579.283 | + | 64.0746i | 1.53249 | + | 0.169510i | ||||
\(379\) | 319.506i | 0.843023i | 0.906823 | + | 0.421511i | \(0.138500\pi\) | ||||
−0.906823 | + | 0.421511i | \(0.861500\pi\) | |||||||
\(380\) | 90.3127 | − | 52.1421i | 0.237665 | − | 0.137216i | ||||
\(381\) | 3.25365 | + | 1.87849i | 0.00853975 | + | 0.00493043i | ||||
\(382\) | 140.680 | − | 243.665i | 0.368273 | − | 0.637867i | ||||
\(383\) | 101.806 | − | 58.7779i | 0.265813 | − | 0.153467i | −0.361171 | − | 0.932500i | \(-0.617623\pi\) |
0.626983 | + | 0.779033i | \(0.284289\pi\) | |||||||
\(384\) | − | 573.364i | − | 1.49314i | ||||||
\(385\) | 93.5565 | + | 68.7539i | 0.243004 | + | 0.178582i | ||||
\(386\) | −382.867 | −0.991883 | ||||||||
\(387\) | 8.26774 | − | 4.77338i | 0.0213637 | − | 0.0123343i | ||||
\(388\) | 12.0703 | − | 20.9064i | 0.0311090 | − | 0.0538824i | ||||
\(389\) | 240.860 | + | 139.061i | 0.619179 | + | 0.357483i | 0.776549 | − | 0.630057i | \(-0.216968\pi\) |
−0.157371 | + | 0.987540i | \(0.550302\pi\) | |||||||
\(390\) | 86.7115 | − | 50.0629i | 0.222337 | − | 0.128366i | ||||
\(391\) | −760.581 | −1.94522 | ||||||||
\(392\) | −316.191 | + | 98.9448i | −0.806611 | + | 0.252410i | ||||
\(393\) | 84.0880 | 0.213964 | ||||||||
\(394\) | 376.104 | − | 217.144i | 0.954578 | − | 0.551126i | ||||
\(395\) | 1.20693 | − | 2.09046i | 0.00305552 | − | 0.00529231i | ||||
\(396\) | −45.1237 | − | 26.0522i | −0.113949 | − | 0.0657884i | ||||
\(397\) | −52.4899 | + | 30.3051i | −0.132216 | + | 0.0763352i | −0.564649 | − | 0.825331i | \(-0.690989\pi\) |
0.432433 | + | 0.901666i | \(0.357655\pi\) | |||||||
\(398\) | −793.187 | −1.99293 | ||||||||
\(399\) | −292.716 | − | 215.114i | −0.733624 | − | 0.539134i | ||||
\(400\) | −71.5657 | −0.178914 | ||||||||
\(401\) | −31.2971 | − | 54.2082i | −0.0780476 | − | 0.135182i | 0.824360 | − | 0.566066i | \(-0.191535\pi\) |
−0.902408 | + | 0.430884i | \(0.858202\pi\) | |||||||
\(402\) | −352.676 | − | 203.618i | −0.877304 | − | 0.506512i | ||||
\(403\) | 439.062 | + | 253.492i | 1.08948 | + | 0.629013i | ||||
\(404\) | −357.711 | − | 619.574i | −0.885424 | − | 1.53360i | ||||
\(405\) | − | 86.4517i | − | 0.213461i | ||||||
\(406\) | −310.956 | − | 566.166i | −0.765902 | − | 1.39450i | ||||
\(407\) | −1055.84 | −2.59421 | ||||||||
\(408\) | −421.597 | + | 243.409i | −1.03333 | + | 0.596591i | ||||
\(409\) | 88.2849 | − | 152.914i | 0.215856 | − | 0.373873i | −0.737681 | − | 0.675149i | \(-0.764079\pi\) |
0.953537 | + | 0.301276i | \(0.0974126\pi\) | |||||||
\(410\) | 25.2747 | − | 43.7771i | 0.0616457 | − | 0.106773i | ||||
\(411\) | −148.831 | + | 85.9274i | −0.362118 | + | 0.209069i | ||||
\(412\) | − | 239.232i | − | 0.580660i | ||||||
\(413\) | 22.6881 | + | 51.7140i | 0.0549349 | + | 0.125215i | ||||
\(414\) | − | 53.8446i | − | 0.130059i | ||||||
\(415\) | 56.2961 | + | 97.5077i | 0.135653 | + | 0.234958i | ||||
\(416\) | 184.092 | − | 318.857i | 0.442530 | − | 0.766484i | ||||
\(417\) | 459.727 | + | 265.424i | 1.10246 | + | 0.636507i | ||||
\(418\) | −438.460 | − | 759.435i | −1.04895 | − | 1.81683i | ||||
\(419\) | − | 304.803i | − | 0.727455i | −0.931505 | − | 0.363727i | \(-0.881504\pi\) | ||
0.931505 | − | 0.363727i | \(-0.118496\pi\) | |||||||
\(420\) | 53.7977 | + | 122.623i | 0.128090 | + | 0.291960i | ||||
\(421\) | − | 437.221i | − | 1.03853i | −0.854613 | − | 0.519265i | \(-0.826206\pi\) | ||
0.854613 | − | 0.519265i | \(-0.173794\pi\) | |||||||
\(422\) | 413.212 | + | 715.705i | 0.979176 | + | 1.69598i | ||||
\(423\) | 8.79060 | − | 15.2258i | 0.0207816 | − | 0.0359947i | ||||
\(424\) | 252.941 | + | 146.035i | 0.596558 | + | 0.344423i | ||||
\(425\) | 279.744 | + | 484.531i | 0.658221 | + | 1.14007i | ||||
\(426\) | 1055.07i | 2.47669i | ||||||||
\(427\) | −31.9578 | + | 288.922i | −0.0748425 | + | 0.676633i | ||||
\(428\) | −1030.08 | −2.40673 | ||||||||
\(429\) | −254.664 | − | 441.090i | −0.593622 | − | 1.02818i | ||||
\(430\) | −51.2926 | − | 29.6138i | −0.119285 | − | 0.0688694i | ||||
\(431\) | 290.121 | − | 502.505i | 0.673135 | − | 1.16590i | −0.303875 | − | 0.952712i | \(-0.598280\pi\) |
0.977010 | − | 0.213193i | \(-0.0683863\pi\) | |||||||
\(432\) | −39.0525 | − | 67.6409i | −0.0903992 | − | 0.156576i | ||||
\(433\) | −31.2644 | −0.0722042 | −0.0361021 | − | 0.999348i | \(-0.511494\pi\) | ||||
−0.0361021 | + | 0.999348i | \(0.511494\pi\) | |||||||
\(434\) | −663.730 | + | 903.168i | −1.52933 | + | 2.08103i | ||||
\(435\) | −74.1122 | + | 52.0653i | −0.170373 | + | 0.119690i | ||||
\(436\) | 464.310 | + | 804.209i | 1.06493 | + | 1.84452i | ||||
\(437\) | 274.098 | − | 474.752i | 0.627227 | − | 1.08639i | ||||
\(438\) | 30.4866 | + | 17.6014i | 0.0696040 | + | 0.0401859i | ||||
\(439\) | 101.875 | − | 58.8175i | 0.232061 | − | 0.133981i | −0.379461 | − | 0.925208i | \(-0.623891\pi\) |
0.611523 | + | 0.791227i | \(0.290557\pi\) | |||||||
\(440\) | 112.146i | 0.254878i | ||||||||
\(441\) | 17.2277 | − | 18.7195i | 0.0390651 | − | 0.0424477i | ||||
\(442\) | −748.124 | −1.69259 | ||||||||
\(443\) | 295.603 | − | 170.666i | 0.667275 | − | 0.385251i | −0.127769 | − | 0.991804i | \(-0.540781\pi\) |
0.795043 | + | 0.606553i | \(0.207448\pi\) | |||||||
\(444\) | −1054.59 | − | 608.870i | −2.37521 | − | 1.37133i | ||||
\(445\) | −30.9953 | − | 17.8952i | −0.0696524 | − | 0.0402138i | ||||
\(446\) | −32.6323 | − | 56.5208i | −0.0731666 | − | 0.126728i | ||||
\(447\) | −248.208 | −0.555275 | ||||||||
\(448\) | 588.554 | + | 432.523i | 1.31374 | + | 0.965454i | ||||
\(449\) | − | 167.004i | − | 0.371946i | −0.982555 | − | 0.185973i | \(-0.940456\pi\) | ||
0.982555 | − | 0.185973i | \(-0.0595436\pi\) | |||||||
\(450\) | −34.3019 | + | 19.8042i | −0.0762264 | + | 0.0440093i | ||||
\(451\) | −222.689 | − | 128.569i | −0.493766 | − | 0.285076i | ||||
\(452\) | 389.435 | + | 224.841i | 0.861583 | + | 0.497435i | ||||
\(453\) | 37.8808 | + | 65.6115i | 0.0836221 | + | 0.144838i | ||||
\(454\) | −1110.53 | −2.44610 | ||||||||
\(455\) | −7.84880 | + | 70.9590i | −0.0172501 | + | 0.155954i | ||||
\(456\) | − | 350.879i | − | 0.769472i | ||||||
\(457\) | −15.7028 | − | 27.1980i | −0.0343605 | − | 0.0595142i | 0.848334 | − | 0.529462i | \(-0.177606\pi\) |
−0.882694 | + | 0.469948i | \(0.844273\pi\) | |||||||
\(458\) | −621.943 | − | 359.079i | −1.35795 | − | 0.784015i | ||||
\(459\) | −305.305 | + | 528.804i | −0.665153 | + | 1.15208i | ||||
\(460\) | −175.005 | + | 101.039i | −0.380445 | + | 0.219650i | ||||
\(461\) | 809.358 | 1.75566 | 0.877829 | − | 0.478975i | \(-0.158991\pi\) | ||||
0.877829 | + | 0.478975i | \(0.158991\pi\) | |||||||
\(462\) | 1031.13 | − | 452.382i | 2.23189 | − | 0.979182i | ||||
\(463\) | 646.628 | 1.39660 | 0.698302 | − | 0.715803i | \(-0.253939\pi\) | ||||
0.698302 | + | 0.715803i | \(0.253939\pi\) | |||||||
\(464\) | −36.4620 | + | 78.5106i | −0.0785820 | + | 0.169204i | ||||
\(465\) | 136.105 | + | 78.5803i | 0.292699 | + | 0.168990i | ||||
\(466\) | −755.220 | − | 436.026i | −1.62064 | − | 0.935679i | ||||
\(467\) | 240.124 | + | 415.907i | 0.514184 | + | 0.890593i | 0.999865 | + | 0.0164565i | \(0.00523851\pi\) |
−0.485681 | + | 0.874136i | \(0.661428\pi\) | |||||||
\(468\) | − | 32.0390i | − | 0.0684594i | ||||||
\(469\) | 265.903 | − | 116.657i | 0.566956 | − | 0.248737i | ||||
\(470\) | −109.073 | −0.232070 | ||||||||
\(471\) | 426.403 | + | 738.551i | 0.905313 | + | 1.56805i | ||||
\(472\) | −27.2738 | + | 47.2395i | −0.0577834 | + | 0.100084i | ||||
\(473\) | −150.642 | + | 260.919i | −0.318481 | + | 0.551626i | ||||
\(474\) | −11.7052 | − | 20.2740i | −0.0246945 | − | 0.0427721i | ||||
\(475\) | −403.257 | −0.848962 | ||||||||
\(476\) | 109.997 | − | 994.455i | 0.231086 | − | 2.08919i | ||||
\(477\) | −22.4272 | −0.0470172 | ||||||||
\(478\) | 236.408 | − | 136.490i | 0.494577 | − | 0.285544i | ||||
\(479\) | 46.2443 | − | 80.0975i | 0.0965435 | − | 0.167218i | −0.813708 | − | 0.581273i | \(-0.802555\pi\) |
0.910252 | + | 0.414055i | \(0.135888\pi\) | |||||||
\(480\) | 57.0669 | − | 98.8428i | 0.118889 | − | 0.205923i | ||||
\(481\) | −324.619 | − | 562.257i | −0.674884 | − | 1.16893i | ||||
\(482\) | −148.482 | −0.308054 | ||||||||
\(483\) | 567.214 | + | 416.841i | 1.17436 | + | 0.863025i | ||||
\(484\) | 903.230 | 1.86618 | ||||||||
\(485\) | 3.45523 | − | 1.99488i | 0.00712419 | − | 0.00411315i | ||||
\(486\) | −77.1641 | − | 44.5507i | −0.158774 | − | 0.0916681i | ||||
\(487\) | 298.359 | − | 516.773i | 0.612647 | − | 1.06114i | −0.378145 | − | 0.925746i | \(-0.623438\pi\) |
0.990792 | − | 0.135390i | \(-0.0432288\pi\) | |||||||
\(488\) | −243.161 | + | 140.389i | −0.498281 | + | 0.287683i | ||||
\(489\) | − | 163.270i | − | 0.333885i | ||||||
\(490\) | −154.015 | − | 34.4934i | −0.314317 | − | 0.0703947i | ||||
\(491\) | − | 620.030i | − | 1.26279i | −0.775461 | − | 0.631395i | \(-0.782483\pi\) | ||
0.775461 | − | 0.631395i | \(-0.217517\pi\) | |||||||
\(492\) | −148.283 | − | 256.834i | −0.301389 | − | 0.522021i | ||||
\(493\) | 674.077 | − | 60.0272i | 1.36730 | − | 0.121759i | ||||
\(494\) | 269.609 | − | 466.977i | 0.545767 | − | 0.945297i | ||||
\(495\) | −4.30569 | − | 7.45767i | −0.00869836 | − | 0.0150660i | ||||
\(496\) | 150.205 | 0.302833 | ||||||||
\(497\) | −606.198 | − | 445.490i | −1.21971 | − | 0.896358i | ||||
\(498\) | 1091.96 | 2.19268 | ||||||||
\(499\) | 12.0421 | + | 20.8575i | 0.0241325 | + | 0.0417986i | 0.877839 | − | 0.478955i | \(-0.158984\pi\) |
−0.853707 | + | 0.520754i | \(0.825651\pi\) | |||||||
\(500\) | 262.971 | + | 151.826i | 0.525942 | + | 0.303653i | ||||
\(501\) | 813.844 | + | 469.873i | 1.62444 | + | 0.937871i | ||||
\(502\) | −864.812 | + | 499.299i | −1.72273 | + | 0.994620i | ||||
\(503\) | −46.0400 | −0.0915308 | −0.0457654 | − | 0.998952i | \(-0.514573\pi\) | ||||
−0.0457654 | + | 0.998952i | \(0.514573\pi\) | |||||||
\(504\) | 24.4244 | + | 2.70159i | 0.0484612 | + | 0.00536031i | ||||
\(505\) | − | 118.239i | − | 0.234137i | ||||||
\(506\) | 849.632 | + | 1471.61i | 1.67911 | + | 2.90831i | ||||
\(507\) | −104.117 | + | 180.335i | −0.205358 | + | 0.355691i | ||||
\(508\) | −6.45909 | − | 3.72916i | −0.0127147 | − | 0.00734086i | ||||
\(509\) | −9.82076 | + | 5.67002i | −0.0192942 | + | 0.0111395i | −0.509616 | − | 0.860402i | \(-0.670213\pi\) |
0.490322 | + | 0.871541i | \(0.336879\pi\) | |||||||
\(510\) | −231.911 | −0.454728 | ||||||||
\(511\) | −22.9855 | + | 10.0843i | −0.0449815 | + | 0.0197344i | ||||
\(512\) | − | 189.814i | − | 0.370730i | ||||||
\(513\) | −220.052 | − | 381.141i | −0.428951 | − | 0.742965i | ||||
\(514\) | 188.797 | − | 327.006i | 0.367309 | − | 0.636198i | ||||
\(515\) | 19.7691 | − | 34.2411i | 0.0383867 | − | 0.0664877i | ||||
\(516\) | −300.927 | + | 173.740i | −0.583191 | + | 0.336706i | ||||
\(517\) | 554.840i | 1.07319i | ||||||||
\(518\) | 1314.38 | − | 576.650i | 2.53742 | − | 1.11322i | ||||
\(519\) | 697.051i | 1.34307i | ||||||||
\(520\) | −59.7201 | + | 34.4794i | −0.114846 | + | 0.0663066i | ||||
\(521\) | −657.500 | − | 379.608i | −1.26200 | − | 0.728614i | −0.288536 | − | 0.957469i | \(-0.593168\pi\) |
−0.973460 | + | 0.228855i | \(0.926502\pi\) | |||||||
\(522\) | 4.24956 | + | 47.7206i | 0.00814093 | + | 0.0914188i | ||||
\(523\) | 731.924 | − | 422.577i | 1.39947 | − | 0.807986i | 0.405136 | − | 0.914257i | \(-0.367224\pi\) |
0.994337 | + | 0.106271i | \(0.0338910\pi\) | |||||||
\(524\) | −166.930 | −0.318569 | ||||||||
\(525\) | 56.9268 | − | 514.661i | 0.108432 | − | 0.980307i | ||||
\(526\) | 1083.72 | 2.06030 | ||||||||
\(527\) | −587.139 | − | 1016.95i | −1.11411 | − | 1.92970i | ||||
\(528\) | −130.683 | − | 75.4497i | −0.247505 | − | 0.142897i | ||||
\(529\) | −266.638 | + | 461.830i | −0.504041 | + | 0.873025i | ||||
\(530\) | 69.5687 | + | 120.496i | 0.131262 | + | 0.227352i | ||||
\(531\) | − | 4.18854i | − | 0.00788801i | ||||||
\(532\) | 581.095 | + | 427.042i | 1.09228 | + | 0.802710i | ||||
\(533\) | − | 158.115i | − | 0.296650i | ||||||
\(534\) | −300.602 | + | 173.553i | −0.562926 | + | 0.325005i | ||||
\(535\) | −147.435 | − | 85.1216i | −0.275579 | − | 0.159106i | ||||
\(536\) | 242.896 | + | 140.236i | 0.453164 | + | 0.261634i | ||||
\(537\) | −101.816 | − | 176.350i | −0.189601 | − | 0.328398i | ||||
\(538\) | − | 528.350i | − | 0.982064i | ||||||
\(539\) | −175.463 | + | 783.456i | −0.325535 | + | 1.45354i | ||||
\(540\) | 162.232i | 0.300430i | ||||||||
\(541\) | 246.597 | − | 142.373i | 0.455816 | − | 0.263166i | −0.254467 | − | 0.967081i | \(-0.581900\pi\) |
0.710283 | + | 0.703916i | \(0.248567\pi\) | |||||||
\(542\) | 1295.68 | + | 748.063i | 2.39056 | + | 1.38019i | ||||
\(543\) | 383.143 | + | 221.208i | 0.705603 | + | 0.407380i | ||||
\(544\) | −738.537 | + | 426.395i | −1.35761 | + | 0.783814i | ||||
\(545\) | 153.475i | 0.281605i | ||||||||
\(546\) | 557.924 | + | 410.014i | 1.02184 | + | 0.750941i | ||||
\(547\) | −243.545 | −0.445238 | −0.222619 | − | 0.974905i | \(-0.571461\pi\) | ||||
−0.222619 | + | 0.974905i | \(0.571461\pi\) | |||||||
\(548\) | 295.456 | − | 170.582i | 0.539154 | − | 0.311281i | ||||
\(549\) | 10.7800 | − | 18.6716i | 0.0196358 | − | 0.0340102i | ||||
\(550\) | 624.994 | − | 1082.52i | 1.13635 | − | 1.96822i | ||||
\(551\) | −205.455 | + | 442.390i | −0.372877 | + | 0.802885i | ||||
\(552\) | 679.921i | 1.23174i | ||||||||
\(553\) | 16.5909 | + | 1.83512i | 0.0300016 | + | 0.00331849i | ||||
\(554\) | − | 1602.97i | − | 2.89346i | ||||||
\(555\) | −100.629 | − | 174.294i | −0.181313 | − | 0.314044i | ||||
\(556\) | −912.643 | − | 526.915i | −1.64144 | − | 0.947688i | ||||
\(557\) | 388.915 | − | 673.620i | 0.698231 | − | 1.20937i | −0.270849 | − | 0.962622i | \(-0.587304\pi\) |
0.969079 | − | 0.246749i | \(-0.0793624\pi\) | |||||||
\(558\) | 71.9942 | − | 41.5659i | 0.129022 | − | 0.0744908i | ||||
\(559\) | −185.259 | −0.331412 | ||||||||
\(560\) | 8.49775 | + | 19.3693i | 0.0151745 | + | 0.0345880i | ||||
\(561\) | 1179.70i | 2.10286i | ||||||||
\(562\) | −1111.48 | + | 641.716i | −1.97773 | + | 1.14184i | ||||
\(563\) | −288.938 | + | 500.456i | −0.513212 | + | 0.888909i | 0.486671 | + | 0.873585i | \(0.338211\pi\) |
−0.999883 | + | 0.0153235i | \(0.995122\pi\) | |||||||
\(564\) | −319.958 | + | 554.183i | −0.567301 | + | 0.982593i | ||||
\(565\) | 37.1598 | + | 64.3627i | 0.0657696 | + | 0.113916i | ||||
\(566\) | 271.669 | 0.479980 | ||||||||
\(567\) | 547.453 | − | 240.180i | 0.965526 | − | 0.423598i | ||||
\(568\) | − | 726.651i | − | 1.27932i | ||||||
\(569\) | −747.754 | + | 431.716i | −1.31415 | + | 0.758728i | −0.982781 | − | 0.184772i | \(-0.940845\pi\) |
−0.331374 | + | 0.943500i | \(0.607512\pi\) | |||||||
\(570\) | 83.5763 | − | 144.758i | 0.146625 | − | 0.253962i | ||||
\(571\) | 250.291 | − | 433.517i | 0.438339 | − | 0.759225i | −0.559223 | − | 0.829017i | \(-0.688900\pi\) |
0.997562 | + | 0.0697927i | \(0.0222338\pi\) | |||||||
\(572\) | 505.554 | + | 875.646i | 0.883836 | + | 1.53085i | ||||
\(573\) | − | 272.814i | − | 0.476116i | ||||||
\(574\) | 347.436 | + | 38.4300i | 0.605289 | + | 0.0669512i | ||||
\(575\) | 781.417 | 1.35899 | ||||||||
\(576\) | −27.0866 | − | 46.9154i | −0.0470254 | − | 0.0814504i | ||||
\(577\) | 214.750 | − | 371.958i | 0.372183 | − | 0.644641i | −0.617718 | − | 0.786400i | \(-0.711943\pi\) |
0.989901 | + | 0.141759i | \(0.0452759\pi\) | |||||||
\(578\) | 704.264 | + | 406.607i | 1.21845 | + | 0.703473i | ||||
\(579\) | −321.501 | + | 185.619i | −0.555270 | + | 0.320585i | ||||
\(580\) | 147.126 | − | 103.359i | 0.253666 | − | 0.178206i | ||||
\(581\) | −461.063 | + | 627.390i | −0.793568 | + | 1.07984i | ||||
\(582\) | − | 38.6940i | − | 0.0664845i | ||||||
\(583\) | 612.950 | − | 353.887i | 1.05137 | − | 0.607010i | ||||
\(584\) | −20.9968 | − | 12.1225i | −0.0359534 | − | 0.0207577i | ||||
\(585\) | 2.64757 | − | 4.58573i | 0.00452576 | − | 0.00783885i | ||||
\(586\) | 1332.62 | − | 769.388i | 2.27409 | − | 1.31295i | ||||
\(587\) | 223.623i | 0.380959i | 0.981691 | + | 0.190479i | \(0.0610042\pi\) | ||||
−0.981691 | + | 0.190479i | \(0.938996\pi\) | |||||||
\(588\) | −627.049 | + | 681.345i | −1.06641 | + | 1.15875i | ||||
\(589\) | 846.373 | 1.43697 | ||||||||
\(590\) | −22.5041 | + | 12.9927i | −0.0381425 | + | 0.0220216i | ||||
\(591\) | 210.548 | − | 364.680i | 0.356257 | − | 0.617055i | ||||
\(592\) | −166.581 | − | 96.1756i | −0.281387 | − | 0.162459i | ||||
\(593\) | −474.630 | + | 274.028i | −0.800387 | + | 0.462104i | −0.843607 | − | 0.536962i | \(-0.819572\pi\) |
0.0432193 | + | 0.999066i | \(0.486239\pi\) | |||||||
\(594\) | 1364.20 | 2.29664 | ||||||||
\(595\) | 97.9214 | − | 133.246i | 0.164574 | − | 0.223943i | ||||
\(596\) | 492.738 | 0.826742 | ||||||||
\(597\) | −666.055 | + | 384.547i | −1.11567 | + | 0.644132i | ||||
\(598\) | −522.439 | + | 904.890i | −0.873643 | + | 1.51319i | ||||
\(599\) | 536.223 | + | 309.589i | 0.895197 | + | 0.516842i | 0.875639 | − | 0.482966i | \(-0.160441\pi\) |
0.0195582 | + | 0.999809i | \(0.493774\pi\) | |||||||
\(600\) | 433.146 | − | 250.077i | 0.721910 | − | 0.416795i | ||||
\(601\) | −289.323 | −0.481403 | −0.240702 | − | 0.970599i | \(-0.577378\pi\) | ||||
−0.240702 | + | 0.970599i | \(0.577378\pi\) | |||||||
\(602\) | 45.0275 | − | 407.083i | 0.0747965 | − | 0.676217i | ||||
\(603\) | −21.5366 | −0.0357157 | ||||||||
\(604\) | −75.2004 | − | 130.251i | −0.124504 | − | 0.215647i | ||||
\(605\) | 129.279 | + | 74.6392i | 0.213684 | + | 0.123371i | ||||
\(606\) | −993.090 | − | 573.361i | −1.63876 | − | 0.946140i | ||||
\(607\) | −373.262 | − | 646.509i | −0.614930 | − | 1.06509i | −0.990397 | − | 0.138254i | \(-0.955851\pi\) |
0.375467 | − | 0.926836i | \(-0.377482\pi\) | |||||||
\(608\) | − | 614.657i | − | 1.01095i | ||||||
\(609\) | −535.601 | − | 324.666i | −0.879476 | − | 0.533113i | ||||
\(610\) | −133.758 | −0.219275 | ||||||||
\(611\) | −295.463 | + | 170.586i | −0.483573 | + | 0.279191i | ||||
\(612\) | −37.1043 | + | 64.2666i | −0.0606280 | + | 0.105011i | ||||
\(613\) | −111.434 | + | 193.009i | −0.181784 | + | 0.314860i | −0.942488 | − | 0.334239i | \(-0.891521\pi\) |
0.760704 | + | 0.649099i | \(0.224854\pi\) | |||||||
\(614\) | −889.688 | + | 513.662i | −1.44900 | + | 0.836583i | ||||
\(615\) | − | 49.0141i | − | 0.0796977i | ||||||
\(616\) | −710.165 | + | 311.565i | −1.15286 | + | 0.505788i | ||||
\(617\) | 299.089i | 0.484748i | 0.970183 | + | 0.242374i | \(0.0779261\pi\) | ||||
−0.970183 | + | 0.242374i | \(0.922074\pi\) | |||||||
\(618\) | −191.727 | − | 332.082i | −0.310238 | − | 0.537349i | ||||
\(619\) | −146.311 | + | 253.419i | −0.236367 | + | 0.409400i | −0.959669 | − | 0.281132i | \(-0.909290\pi\) |
0.723302 | + | 0.690532i | \(0.242624\pi\) | |||||||
\(620\) | −270.194 | − | 155.996i | −0.435796 | − | 0.251607i | ||||
\(621\) | 426.409 | + | 738.561i | 0.686648 | + | 1.18931i | ||||
\(622\) | − | 630.211i | − | 1.01320i | ||||||
\(623\) | 27.2094 | − | 245.993i | 0.0436748 | − | 0.394853i | ||||
\(624\) | − | 92.7880i | − | 0.148699i | ||||||
\(625\) | −274.599 | − | 475.619i | −0.439358 | − | 0.760990i | ||||
\(626\) | 783.057 | − | 1356.29i | 1.25089 | − | 2.16660i | ||||
\(627\) | −736.367 | − | 425.142i | −1.17443 | − | 0.678057i | ||||
\(628\) | −846.488 | − | 1466.16i | −1.34791 | − | 2.33465i | ||||
\(629\) | 1503.77i | 2.39072i | ||||||||
\(630\) | 9.43303 | + | 6.93225i | 0.0149731 | + | 0.0110036i | ||||
\(631\) | −550.408 | −0.872279 | −0.436139 | − | 0.899879i | \(-0.643655\pi\) | ||||
−0.436139 | + | 0.899879i | \(0.643655\pi\) | |||||||
\(632\) | 8.06162 | + | 13.9631i | 0.0127557 | + | 0.0220936i | ||||
\(633\) | 693.966 | + | 400.661i | 1.09631 | + | 0.632956i | ||||
\(634\) | −113.798 | + | 197.104i | −0.179492 | + | 0.310890i | ||||
\(635\) | −0.616324 | − | 1.06750i | −0.000970589 | − | 0.00168111i | ||||
\(636\) | 816.299 | 1.28349 | ||||||||
\(637\) | −471.152 | + | 147.436i | −0.739642 | + | 0.231454i | ||||
\(638\) | −869.143 | − | 1237.18i | −1.36229 | − | 1.93915i | ||||
\(639\) | 27.8987 | + | 48.3219i | 0.0436599 | + | 0.0756211i | ||||
\(640\) | −94.0590 | + | 162.915i | −0.146967 | + | 0.254555i | ||||
\(641\) | 22.3853 | + | 12.9242i | 0.0349225 | + | 0.0201625i | 0.517360 | − | 0.855768i | \(-0.326915\pi\) |
−0.482437 | + | 0.875931i | \(0.660248\pi\) | |||||||
\(642\) | −1429.87 | + | 825.536i | −2.22721 | + | 1.28588i | ||||
\(643\) | 142.812i | 0.222102i | 0.993815 | + | 0.111051i | \(0.0354217\pi\) | ||||
−0.993815 | + | 0.111051i | \(0.964578\pi\) | |||||||
\(644\) | −1126.02 | − | 827.506i | −1.74849 | − | 1.28495i | ||||
\(645\) | −57.4286 | −0.0890367 | ||||||||
\(646\) | −1081.61 | + | 624.468i | −1.67432 | + | 0.966669i | ||||
\(647\) | −238.692 | − | 137.809i | −0.368922 | − | 0.212997i | 0.304066 | − | 0.952651i | \(-0.401656\pi\) |
−0.672987 | + | 0.739654i | \(0.734989\pi\) | |||||||
\(648\) | 500.086 | + | 288.725i | 0.771737 | + | 0.445563i | ||||
\(649\) | 66.0923 | + | 114.475i | 0.101837 | + | 0.176387i | ||||
\(650\) | 768.618 | 1.18249 | ||||||||
\(651\) | −119.480 | + | 1080.19i | −0.183534 | + | 1.65928i | ||||
\(652\) | 324.121i | 0.497118i | ||||||||
\(653\) | 118.830 | − | 68.6063i | 0.181975 | − | 0.105063i | −0.406245 | − | 0.913764i | \(-0.633162\pi\) |
0.588220 | + | 0.808701i | \(0.299829\pi\) | |||||||
\(654\) | 1289.03 | + | 744.224i | 1.97100 | + | 1.13796i | ||||
\(655\) | −23.8926 | − | 13.7944i | −0.0364773 | − | 0.0210602i | ||||
\(656\) | −23.4225 | − | 40.5689i | −0.0357050 | − | 0.0618428i | ||||
\(657\) | 1.86170 | 0.00283363 | ||||||||
\(658\) | −303.026 | − | 690.701i | −0.460526 | − | 1.04970i | ||||
\(659\) | − | 244.316i | − | 0.370737i | −0.982669 | − | 0.185368i | \(-0.940652\pi\) | ||
0.982669 | − | 0.185368i | \(-0.0593479\pi\) | |||||||
\(660\) | 156.717 | + | 271.442i | 0.237450 | + | 0.411276i | ||||
\(661\) | 698.345 | + | 403.190i | 1.05650 | + | 0.609969i | 0.924462 | − | 0.381275i | \(-0.124515\pi\) |
0.132037 | + | 0.991245i | \(0.457848\pi\) | |||||||
\(662\) | 205.839 | − | 356.524i | 0.310936 | − | 0.538556i | ||||
\(663\) | −628.215 | + | 362.700i | −0.947533 | + | 0.547059i | ||||
\(664\) | −752.054 | −1.13261 | ||||||||
\(665\) | 47.8829 | + | 109.142i | 0.0720043 | + | 0.164123i | ||||
\(666\) | −106.458 | −0.159846 | ||||||||
\(667\) | 398.124 | − | 857.246i | 0.596887 | − | 1.28523i | ||||
\(668\) | −1615.63 | − | 932.785i | −2.41861 | − | 1.39638i | ||||
\(669\) | −54.8040 | − | 31.6411i | −0.0819193 | − | 0.0472962i | ||||
\(670\) | 66.8059 | + | 115.711i | 0.0997103 | + | 0.172703i | ||||
\(671\) | 680.408i | 1.01402i | ||||||||
\(672\) | 784.463 | + | 86.7697i | 1.16736 | + | 0.129122i | ||||
\(673\) | −52.1695 | −0.0775178 | −0.0387589 | − | 0.999249i | \(-0.512340\pi\) | ||||
−0.0387589 | + | 0.999249i | \(0.512340\pi\) | |||||||
\(674\) | −646.627 | − | 1119.99i | −0.959387 | − | 1.66171i | ||||
\(675\) | 313.669 | − | 543.290i | 0.464694 | − | 0.804874i | ||||
\(676\) | 206.691 | − | 357.999i | 0.305756 | − | 0.529584i | ||||
\(677\) | −107.298 | − | 185.846i | −0.158491 | − | 0.274514i | 0.775834 | − | 0.630937i | \(-0.217330\pi\) |
−0.934325 | + | 0.356423i | \(0.883996\pi\) | |||||||
\(678\) | 720.775 | 1.06309 | ||||||||
\(679\) | 22.2319 | + | 16.3380i | 0.0327420 | + | 0.0240618i | ||||
\(680\) | 159.722 | 0.234886 | ||||||||
\(681\) | −932.533 | + | 538.398i | −1.36936 | + | 0.790599i | ||||
\(682\) | −1311.77 | + | 2272.04i | −1.92341 | + | 3.33144i | ||||
\(683\) | 12.5357 | − | 21.7124i | 0.0183539 | − | 0.0317898i | −0.856703 | − | 0.515811i | \(-0.827491\pi\) |
0.875056 | + | 0.484021i | \(0.160824\pi\) | |||||||
\(684\) | −26.7434 | − | 46.3209i | −0.0390985 | − | 0.0677205i | ||||
\(685\) | 56.3847 | 0.0823134 | ||||||||
\(686\) | −209.457 | − | 1071.13i | −0.305331 | − | 1.56141i | ||||
\(687\) | −696.344 | −1.01360 | ||||||||
\(688\) | −47.5336 | + | 27.4435i | −0.0690896 | + | 0.0398889i | ||||
\(689\) | 376.903 | + | 217.605i | 0.547029 | + | 0.315827i | ||||
\(690\) | −161.951 | + | 280.508i | −0.234712 | + | 0.406533i | ||||
\(691\) | −151.222 | + | 87.3079i | −0.218845 | + | 0.126350i | −0.605415 | − | 0.795910i | \(-0.706993\pi\) |
0.386570 | + | 0.922260i | \(0.373660\pi\) | |||||||
\(692\) | − | 1383.78i | − | 1.99968i | ||||||
\(693\) | 35.2635 | − | 47.9846i | 0.0508852 | − | 0.0692418i | ||||
\(694\) | 782.761i | 1.12790i | ||||||||
\(695\) | −87.0841 | − | 150.834i | −0.125301 | − | 0.217027i | ||||
\(696\) | −53.6613 | − | 602.591i | −0.0770996 | − | 0.865792i | ||||
\(697\) | −183.112 | + | 317.160i | −0.262715 | + | 0.455036i | ||||
\(698\) | 1045.10 | + | 1810.17i | 1.49728 | + | 2.59337i | ||||
\(699\) | −845.565 | −1.20968 | ||||||||
\(700\) | −113.010 | + | 1021.70i | −0.161443 | + | 1.45957i | ||||
\(701\) | −1299.84 | −1.85427 | −0.927134 | − | 0.374731i | \(-0.877735\pi\) | ||||
−0.927134 | + | 0.374731i | \(0.877735\pi\) | |||||||
\(702\) | 419.425 | + | 726.465i | 0.597471 | + | 1.03485i | ||||
\(703\) | −938.646 | − | 541.928i | −1.33520 | − | 0.770879i | ||||
\(704\) | 1480.59 | + | 854.819i | 2.10311 | + | 1.21423i | ||||
\(705\) | −91.5907 | + | 52.8799i | −0.129916 | + | 0.0750070i | ||||
\(706\) | −224.906 | −0.318564 | ||||||||
\(707\) | 748.746 | − | 328.492i | 1.05905 | − | 0.464628i | ||||
\(708\) | 152.453i | 0.215329i | ||||||||
\(709\) | 633.239 | + | 1096.80i | 0.893143 | + | 1.54697i | 0.836086 | + | 0.548599i | \(0.184839\pi\) |
0.0570578 | + | 0.998371i | \(0.481828\pi\) | |||||||
\(710\) | 173.082 | − | 299.787i | 0.243777 | − | 0.422235i | ||||
\(711\) | −1.07219 | − | 0.619027i | −0.00150800 | − | 0.000870643i | ||||
\(712\) | 207.032 | − | 119.530i | 0.290775 | − | 0.167879i | ||||
\(713\) | −1640.07 | −2.30024 | ||||||||
\(714\) | −644.296 | − | 1468.57i | −0.902376 | − | 2.05682i | ||||
\(715\) | 167.108i | 0.233717i | ||||||||
\(716\) | 202.123 | + | 350.087i | 0.282295 | + | 0.488948i | ||||
\(717\) | 132.344 | − | 229.227i | 0.184581 | − | 0.319703i | ||||
\(718\) | −89.8793 | + | 155.676i | −0.125180 | + | 0.216818i | ||||
\(719\) | −716.926 | + | 413.917i | −0.997115 | + | 0.575685i | −0.907393 | − | 0.420282i | \(-0.861931\pi\) |
−0.0897215 | + | 0.995967i | \(0.528598\pi\) | |||||||
\(720\) | − | 1.56880i | − | 0.00217889i | ||||||
\(721\) | 271.754 | + | 30.0588i | 0.376912 | + | 0.0416904i | ||||
\(722\) | 248.506i | 0.344192i | ||||||||
\(723\) | −124.683 | + | 71.9860i | −0.172453 | + | 0.0995657i | ||||
\(724\) | −760.609 | − | 439.138i | −1.05056 | − | 0.606544i | ||||
\(725\) | −692.543 | + | 61.6716i | −0.955232 | + | 0.0850643i | ||||
\(726\) | 1253.79 | − | 723.875i | 1.72698 | − | 0.997072i | ||||
\(727\) | 1133.00 | 1.55846 | 0.779228 | − | 0.626741i | \(-0.215612\pi\) | ||||
0.779228 | + | 0.626741i | \(0.215612\pi\) | |||||||
\(728\) | −384.255 | − | 282.385i | −0.527822 | − | 0.387892i | ||||
\(729\) | 682.233 | 0.935848 | ||||||||
\(730\) | −5.77494 | − | 10.0025i | −0.00791087 | − | 0.0137020i | ||||
\(731\) | 371.609 | + | 214.549i | 0.508357 | + | 0.293500i | ||||
\(732\) | −392.369 | + | 679.602i | −0.536023 | + | 0.928419i | ||||
\(733\) | 64.4175 | + | 111.574i | 0.0878819 | + | 0.152216i | 0.906616 | − | 0.421957i | \(-0.138657\pi\) |
−0.818734 | + | 0.574173i | \(0.805324\pi\) | |||||||
\(734\) | 1226.20i | 1.67057i | ||||||||
\(735\) | −146.053 | + | 45.7038i | −0.198711 | + | 0.0621821i | ||||
\(736\) | 1191.06i | 1.61829i | ||||||||
\(737\) | 588.608 | − | 339.833i | 0.798654 | − | 0.461103i | ||||
\(738\) | −22.4530 | − | 12.9633i | −0.0304242 | − | 0.0175654i | ||||
\(739\) | −260.002 | − | 150.112i | −0.351830 | − | 0.203129i | 0.313661 | − | 0.949535i | \(-0.398444\pi\) |
−0.665491 | + | 0.746406i | \(0.731778\pi\) | |||||||
\(740\) | 199.767 | + | 346.007i | 0.269955 | + | 0.467577i | ||||
\(741\) | − | 522.840i | − | 0.705587i | ||||||
\(742\) | −569.765 | + | 775.305i | −0.767877 | + | 1.04489i | ||||
\(743\) | − | 869.304i | − | 1.16999i | −0.811036 | − | 0.584996i | \(-0.801096\pi\) | ||
0.811036 | − | 0.584996i | \(-0.198904\pi\) | |||||||
\(744\) | −909.106 | + | 524.873i | −1.22192 | + | 0.705474i | ||||
\(745\) | 70.5254 | + | 40.7178i | 0.0946649 | + | 0.0546548i | ||||
\(746\) | −1297.06 | − | 748.857i | −1.73869 | − | 1.00383i | ||||
\(747\) | 50.0111 | − | 28.8739i | 0.0669493 | − | 0.0386532i | ||||
\(748\) | − | 2341.93i | − | 3.13092i | ||||||
\(749\) | 129.426 | − | 1170.11i | 0.172799 | − | 1.56223i | ||||
\(750\) | 486.712 | 0.648950 | ||||||||
\(751\) | 563.321 | − | 325.233i | 0.750094 | − | 0.433067i | −0.0756339 | − | 0.997136i | \(-0.524098\pi\) |
0.825728 | + | 0.564069i | \(0.190765\pi\) | |||||||
\(752\) | −50.5397 | + | 87.5373i | −0.0672070 | + | 0.116406i | ||||
\(753\) | −484.133 | + | 838.543i | −0.642939 | + | 1.11360i | ||||
\(754\) | 391.603 | − | 843.206i | 0.519368 | − | 1.11831i | ||||
\(755\) | − | 24.8570i | − | 0.0329232i | ||||||
\(756\) | −1027.33 | + | 450.714i | −1.35891 | + | 0.596183i | ||||
\(757\) | 754.206i | 0.996309i | 0.867088 | + | 0.498155i | \(0.165989\pi\) | ||||
−0.867088 | + | 0.498155i | \(0.834011\pi\) | |||||||
\(758\) | −508.329 | − | 880.451i | −0.670618 | − | 1.16154i | ||||
\(759\) | 1426.91 | + | 823.825i | 1.87998 | + | 1.08541i | ||||
\(760\) | −57.5608 | + | 99.6983i | −0.0757380 | + | 0.131182i | ||||
\(761\) | 474.949 | − | 274.212i | 0.624112 | − | 0.360331i | −0.154356 | − | 0.988015i | \(-0.549330\pi\) |
0.778468 | + | 0.627684i | \(0.215997\pi\) | |||||||
\(762\) | −11.9546 | −0.0156885 | ||||||||
\(763\) | −971.875 | + | 426.384i | −1.27376 | + | 0.558825i | ||||
\(764\) | 541.587i | 0.708883i | ||||||||
\(765\) | −10.6215 | + | 6.13230i | −0.0138843 | + | 0.00801608i | ||||
\(766\) | −187.029 | + | 323.944i | −0.244164 | + | 0.422904i | ||||
\(767\) | −40.6402 | + | 70.3909i | −0.0529859 | + | 0.0917743i | ||||
\(768\) | 268.359 | + | 464.812i | 0.349426 | + | 0.605224i | ||||
\(769\) | 305.857 | 0.397734 | 0.198867 | − | 0.980027i | \(-0.436274\pi\) | ||||
0.198867 | + | 0.980027i | \(0.436274\pi\) | |||||||
\(770\) | −367.197 | − | 40.6158i | −0.476879 | − | 0.0527477i | ||||
\(771\) | − | 366.125i | − | 0.474870i | ||||||
\(772\) | 638.239 | − | 368.487i | 0.826734 | − | 0.477315i | ||||
\(773\) | 232.284 | − | 402.329i | 0.300497 | − | 0.520477i | −0.675751 | − | 0.737130i | \(-0.736181\pi\) |
0.976249 | + | 0.216653i | \(0.0695140\pi\) | |||||||
\(774\) | −15.1888 | + | 26.3077i | −0.0196237 | + | 0.0339893i | ||||
\(775\) | 603.223 | + | 1044.81i | 0.778352 | + | 1.34815i | ||||
\(776\) | 26.6494i | 0.0343420i | ||||||||
\(777\) | 824.148 | − | 1121.46i | 1.06068 | − | 1.44331i | ||||
\(778\) | −884.975 | −1.13750 | ||||||||
\(779\) | −131.980 | − | 228.597i | −0.169423 | − | 0.293449i | ||||
\(780\) | −96.3654 | + | 166.910i | −0.123545 | + | 0.213987i | ||||
\(781\) | −1524.98 | − | 880.445i | −1.95259 | − | 1.12733i | ||||
\(782\) | 2095.91 | − | 1210.07i | 2.68019 | − | 1.54741i | ||||
\(783\) | −436.201 | − | 620.909i | −0.557089 | − | 0.792987i | ||||
\(784\) | −99.0471 | + | 107.624i | −0.126336 | + | 0.137275i | ||||
\(785\) | − | 279.801i | − | 0.356434i | ||||||
\(786\) | −231.718 | + | 133.783i | −0.294807 | + | 0.170207i | ||||
\(787\) | 1013.39 | + | 585.084i | 1.28767 | + | 0.743436i | 0.978238 | − | 0.207487i | \(-0.0665284\pi\) |
0.309430 | + | 0.950922i | \(0.399862\pi\) | |||||||
\(788\) | −417.976 | + | 723.957i | −0.530427 | + | 0.918727i | ||||
\(789\) | 910.022 | − | 525.402i | 1.15339 | − | 0.665908i | ||||
\(790\) | 7.68083i | 0.00972257i | ||||||||
\(791\) | −304.338 | + | 414.126i | −0.384750 | + | 0.523547i | ||||
\(792\) | 57.5193 | 0.0726253 | ||||||||
\(793\) | −362.330 | + | 209.192i | −0.456911 | + | 0.263798i | ||||
\(794\) | 96.4298 | − | 167.021i | 0.121448 | − | 0.210354i | ||||
\(795\) | 116.836 | + | 67.4556i | 0.146964 | + | 0.0848498i | ||||
\(796\) | 1322.24 | − | 763.397i | 1.66111 | − | 0.959041i | ||||
\(797\) | −997.772 | −1.25191 | −0.625955 | − | 0.779860i | \(-0.715290\pi\) | ||||
−0.625955 | + | 0.779860i | \(0.715290\pi\) | |||||||
\(798\) | 1148.87 | + | 127.077i | 1.43969 | + | 0.159244i | ||||
\(799\) | 790.220 | 0.989011 | ||||||||
\(800\) | 758.769 | − | 438.076i | 0.948461 | − | 0.547594i | ||||
\(801\) | −9.17832 | + | 15.8973i | −0.0114586 | + | 0.0198468i | ||||
\(802\) | 172.489 | + | 99.5864i | 0.215073 | + | 0.124173i | ||||
\(803\) | −50.8814 | + | 29.3764i | −0.0633641 | + | 0.0365833i | ||||
\(804\) | 783.882 | 0.974977 | ||||||||
\(805\) | −92.7857 | − | 211.491i | −0.115262 | − | 0.262721i | ||||
\(806\) | −1613.21 | −2.00150 | ||||||||
\(807\) | −256.151 | − | 443.667i | −0.317411 | − | 0.549773i | ||||
\(808\) | 683.963 | + | 394.886i | 0.846488 | + | 0.488720i | ||||
\(809\) | −1134.60 | − | 655.063i | −1.40247 | − | 0.809719i | −0.407828 | − | 0.913059i | \(-0.633714\pi\) |
−0.994646 | + | 0.103340i | \(0.967047\pi\) | |||||||
\(810\) | 137.543 | + | 238.232i | 0.169807 | + | 0.294113i | ||||
\(811\) | 454.414i | 0.560313i | 0.959954 | + | 0.280156i | \(0.0903863\pi\) | ||||
−0.959954 | + | 0.280156i | \(0.909614\pi\) | |||||||
\(812\) | 1063.27 | + | 644.522i | 1.30944 | + | 0.793746i | ||||
\(813\) | 1450.68 | 1.78436 | ||||||||
\(814\) | 2909.55 | − | 1679.83i | 3.57439 | − | 2.06367i | ||||
\(815\) | −26.7840 | + | 46.3912i | −0.0328638 | + | 0.0569218i | ||||
\(816\) | −107.458 | + | 186.122i | −0.131688 | + | 0.228091i | ||||
\(817\) | −267.841 | + | 154.638i | −0.327835 | + | 0.189276i | ||||
\(818\) | 561.840i | 0.686846i | ||||||||
\(819\) | 36.3945 | + | 4.02560i | 0.0444377 | + | 0.00491527i | ||||
\(820\) | 97.3020i | 0.118661i | ||||||||
\(821\) | −426.963 | − | 739.522i | −0.520053 | − | 0.900758i | −0.999728 | − | 0.0233120i | \(-0.992579\pi\) |
0.479675 | − | 0.877446i | \(-0.340754\pi\) | |||||||
\(822\) | 273.418 | − | 473.574i | 0.332626 | − | 0.576125i | ||||
\(823\) | 354.734 | + | 204.806i | 0.431026 | + | 0.248853i | 0.699784 | − | 0.714355i | \(-0.253280\pi\) |
−0.268758 | + | 0.963208i | \(0.586613\pi\) | |||||||
\(824\) | 132.047 | + | 228.712i | 0.160251 | + | 0.277563i | ||||
\(825\) | − | 1212.02i | − | 1.46912i | ||||||
\(826\) | −144.797 | − | 106.410i | −0.175299 | − | 0.128826i | ||||
\(827\) | 1351.33i | 1.63402i | 0.576624 | + | 0.817009i | \(0.304370\pi\) | ||||
−0.576624 | + | 0.817009i | \(0.695630\pi\) | |||||||
\(828\) | 51.8223 | + | 89.7589i | 0.0625873 | + | 0.108404i | ||||
\(829\) | 67.8408 | − | 117.504i | 0.0818346 | − | 0.141742i | −0.822203 | − | 0.569194i | \(-0.807255\pi\) |
0.904038 | + | 0.427452i | \(0.140589\pi\) | |||||||
\(830\) | −310.267 | − | 179.132i | −0.373815 | − | 0.215822i | ||||
\(831\) | −777.142 | − | 1346.05i | −0.935189 | − | 1.61980i | ||||
\(832\) | 1051.26i | 1.26353i | ||||||||
\(833\) | 1115.82 | + | 249.900i | 1.33952 | + | 0.300001i | ||||
\(834\) | −1689.14 | −2.02535 | ||||||||
\(835\) | −154.163 | − | 267.018i | −0.184626 | − | 0.319782i | ||||
\(836\) | 1461.83 | + | 843.985i | 1.74859 | + | 1.00955i | ||||
\(837\) | −658.342 | + | 1140.28i | −0.786549 | + | 1.36234i | ||||
\(838\) | 484.938 | + | 839.937i | 0.578685 | + | 1.00231i | ||||
\(839\) | −148.149 | −0.176578 | −0.0882892 | − | 0.996095i | \(-0.528140\pi\) | ||||
−0.0882892 | + | 0.996095i | \(0.528140\pi\) | |||||||
\(840\) | −119.115 | − | 87.5369i | −0.141804 | − | 0.104211i | ||||
\(841\) | −285.187 | + | 791.169i | −0.339105 | + | 0.940748i | ||||
\(842\) | 695.612 | + | 1204.84i | 0.826143 | + | 1.43092i | ||||
\(843\) | −622.224 | + | 1077.72i | −0.738107 | + | 1.27844i | ||||
\(844\) | −1377.65 | − | 795.387i | −1.63229 | − | 0.942401i | ||||
\(845\) | 59.1671 | − | 34.1602i | 0.0700203 | − | 0.0404262i | ||||
\(846\) | 55.9428i | 0.0661263i | ||||||||
\(847\) | −113.488 | + | 1026.02i | −0.133988 | + | 1.21135i | ||||
\(848\) | 128.941 | 0.152053 | ||||||||
\(849\) | 228.126 | − | 131.708i | 0.268699 | − | 0.155134i | ||||
\(850\) | −1541.76 | − | 890.136i | −1.81384 | − | 1.04722i | ||||
\(851\) | 1818.87 | + | 1050.13i | 2.13734 | + | 1.23399i | ||||
\(852\) | −1015.45 | − | 1758.80i | −1.19184 | − | 2.06433i | ||||
\(853\) | 1192.82 | 1.39838 | 0.699190 | − | 0.714936i | \(-0.253544\pi\) | ||||
0.699190 | + | 0.714936i | \(0.253544\pi\) | |||||||
\(854\) | −371.606 | − | 847.017i | −0.435135 | − | 0.991823i | ||||
\(855\) | − | 8.83984i | − | 0.0103390i | ||||||
\(856\) | 984.783 | − | 568.565i | 1.15045 | − | 0.664211i | ||||
\(857\) | −87.3098 | − | 50.4083i | −0.101878 | − | 0.0588195i | 0.448195 | − | 0.893936i | \(-0.352067\pi\) |
−0.550073 | + | 0.835116i | \(0.685400\pi\) | |||||||
\(858\) | 1403.54 | + | 810.332i | 1.63582 | + | 0.944443i | ||||
\(859\) | −250.568 | − | 433.996i | −0.291697 | − | 0.505235i | 0.682514 | − | 0.730873i | \(-0.260887\pi\) |
−0.974211 | + | 0.225638i | \(0.927553\pi\) | |||||||
\(860\) | 114.006 | 0.132566 | ||||||||
\(861\) | 310.380 | − | 136.171i | 0.360488 | − | 0.158154i | ||||
\(862\) | 1846.31i | 2.14190i | ||||||||
\(863\) | 541.679 | + | 938.215i | 0.627670 | + | 1.08716i | 0.988018 | + | 0.154338i | \(0.0493244\pi\) |
−0.360349 | + | 0.932818i | \(0.617342\pi\) | |||||||
\(864\) | 828.100 | + | 478.104i | 0.958450 | + | 0.553361i | ||||
\(865\) | 114.349 | − | 198.059i | 0.132196 | − | 0.228970i | ||||
\(866\) | 86.1543 | − | 49.7412i | 0.0994853 | − | 0.0574379i | ||||
\(867\) | 788.513 | 0.909473 | ||||||||
\(868\) | 237.191 | − | 2144.38i | 0.273261 | − | 2.47049i | ||||
\(869\) | 39.0714 | 0.0449613 | ||||||||
\(870\) | 121.393 | − | 261.386i | 0.139533 | − | 0.300444i | ||||
\(871\) | 361.935 | + | 208.963i | 0.415540 | + | 0.239912i | ||||
\(872\) | −887.786 | − | 512.563i | −1.01810 | − | 0.587802i | ||||
\(873\) | −1.02316 | − | 1.77217i | −0.00117201 | − | 0.00202998i | ||||
\(874\) | 1744.35i | 1.99582i | ||||||||
\(875\) | −205.508 | + | 279.644i | −0.234866 | + | 0.319593i | ||||
\(876\) | −67.7615 | −0.0773533 | ||||||||
\(877\) | −4.63912 | − | 8.03519i | −0.00528976 | − | 0.00916213i | 0.863368 | − | 0.504574i | \(-0.168350\pi\) |
−0.868658 | + | 0.495412i | \(0.835017\pi\) | |||||||
\(878\) | −187.155 | + | 324.163i | −0.213161 | + | 0.369206i | ||||
\(879\) | 746.018 | − | 1292.14i | 0.848712 | − | 1.47001i | ||||
\(880\) | 24.7547 | + | 42.8763i | 0.0281303 | + | 0.0487231i | ||||
\(881\) | −453.684 | −0.514964 | −0.257482 | − | 0.966283i | \(-0.582893\pi\) | ||||
−0.257482 | + | 0.966283i | \(0.582893\pi\) | |||||||
\(882\) | −17.6915 | + | 78.9936i | −0.0200583 | + | 0.0895619i | ||||
\(883\) | −267.011 | −0.302391 | −0.151195 | − | 0.988504i | \(-0.548312\pi\) | ||||
−0.151195 | + | 0.988504i | \(0.548312\pi\) | |||||||
\(884\) | 1247.12 | − | 720.026i | 1.41077 | − | 0.814509i | ||||
\(885\) | −12.5981 | + | 21.8205i | −0.0142351 | + | 0.0246560i | ||||
\(886\) | −543.055 | + | 940.598i | −0.612929 | + | 1.06162i | ||||
\(887\) | −692.343 | − | 1199.17i | −0.780545 | − | 1.35194i | −0.931625 | − | 0.363422i | \(-0.881608\pi\) |
0.151080 | − | 0.988522i | \(-0.451725\pi\) | |||||||
\(888\) | 1344.29 | 1.51384 | ||||||||
\(889\) | 5.04767 | − | 6.86860i | 0.00567792 | − | 0.00772621i | ||||
\(890\) | 113.884 | 0.127959 | ||||||||
\(891\) | 1211.86 | − | 699.665i | 1.36011 | − | 0.785258i | ||||
\(892\) | 108.796 | + | 62.8135i | 0.121969 | + | 0.0704187i | ||||
\(893\) | −284.780 | + | 493.253i | −0.318902 | + | 0.552355i | ||||
\(894\) | 683.978 | − | 394.895i | 0.765076 | − | 0.441717i | ||||
\(895\) | 66.8104i | 0.0746485i | ||||||||
\(896\) | −1292.97 | − | 143.016i | −1.44305 | − | 0.159616i | ||||
\(897\) | 1013.14i | 1.12948i | ||||||||
\(898\) | 265.700 | + | 460.206i | 0.295880 | + | 0.512479i | ||||
\(899\) | 1453.54 | − | 129.439i | 1.61684 | − | 0.143981i | ||||
\(900\) | 38.1208 | − | 66.0272i | 0.0423564 | − | 0.0733635i | ||||
\(901\) | −504.017 | − | 872.983i | −0.559397 | − | 0.968904i | ||||
\(902\) | 818.207 | 0.907103 | ||||||||
\(903\) | −159.548 | − | 363.665i | −0.176687 | − | 0.402730i | ||||
\(904\) | −496.414 | −0.549130 | ||||||||
\(905\) | −72.5770 | − | 125.707i | −0.0801956 | − | 0.138903i | ||||
\(906\) | −208.774 | − | 120.536i | −0.230435 | − | 0.133041i | ||||
\(907\) | −53.4423 | − | 30.8549i | −0.0589221 | − | 0.0340187i | 0.470250 | − | 0.882533i | \(-0.344164\pi\) |
−0.529172 | + | 0.848515i | \(0.677497\pi\) | |||||||
\(908\) | 1851.25 | − | 1068.82i | 2.03882 | − | 1.17711i | ||||
\(909\) | −60.6442 | −0.0667153 | ||||||||
\(910\) | −91.2660 | − | 208.027i | −0.100292 | − | 0.228601i | ||||
\(911\) | 375.068i | 0.411710i | 0.978583 | + | 0.205855i | \(0.0659975\pi\) | ||||
−0.978583 | + | 0.205855i | \(0.934002\pi\) | |||||||
\(912\) | −77.4514 | − | 134.150i | −0.0849247 | − | 0.147094i | ||||
\(913\) | −911.224 | + | 1578.29i | −0.998055 | + | 1.72868i | ||||
\(914\) | 86.5431 | + | 49.9657i | 0.0946861 | + | 0.0546671i | ||||
\(915\) | −112.319 | + | 64.8474i | −0.122753 | + | 0.0708715i | ||||
\(916\) | 1382.37 | 1.50914 | ||||||||
\(917\) | 20.9743 | − | 189.623i | 0.0228727 | − | 0.206786i | ||||
\(918\) | − | 1942.94i | − | 2.11649i | ||||||
\(919\) | −306.517 | − | 530.903i | −0.333533 | − | 0.577697i | 0.649669 | − | 0.760217i | \(-0.274908\pi\) |
−0.983202 | + | 0.182521i | \(0.941574\pi\) | |||||||
\(920\) | 111.539 | − | 193.192i | 0.121238 | − | 0.209991i | ||||
\(921\) | −498.060 | + | 862.664i | −0.540781 | + | 0.936661i | ||||
\(922\) | −2230.32 | + | 1287.68i | −2.41900 | + | 1.39661i | ||||
\(923\) | − | 1082.77i | − | 1.17310i | ||||||
\(924\) | −1283.51 | + | 1746.53i | −1.38908 | + | 1.89018i | ||||
\(925\) | − | 1544.96i | − | 1.67023i | ||||||
\(926\) | −1781.89 | + | 1028.77i | −1.92429 | + | 1.11099i | ||||
\(927\) | −17.5621 | − | 10.1395i | −0.0189451 | − | 0.0109379i | ||||
\(928\) | −94.0018 | − | 1055.60i | −0.101295 | − | 1.13750i | ||||
\(929\) | −153.977 | + | 88.8989i | −0.165745 | + | 0.0956931i | −0.580578 | − | 0.814205i | \(-0.697173\pi\) |
0.414833 | + | 0.909898i | \(0.363840\pi\) | |||||||
\(930\) | −500.080 | −0.537720 | ||||||||
\(931\) | −558.108 | + | 606.434i | −0.599471 | + | 0.651380i | ||||
\(932\) | 1678.60 | 1.80108 | ||||||||
\(933\) | −305.534 | − | 529.201i | −0.327475 | − | 0.567204i | ||||
\(934\) | −1323.40 | − | 764.067i | −1.41692 | − | 0.818059i | ||||
\(935\) | 193.527 | − | 335.199i | 0.206981 | − | 0.358502i | ||||
\(936\) | 17.6843 | + | 30.6301i | 0.0188935 | + | 0.0327245i | ||||
\(937\) | − | 1275.68i | − | 1.36146i | −0.732536 | − | 0.680728i | \(-0.761664\pi\) | ||
0.732536 | − | 0.680728i | \(-0.238336\pi\) | |||||||
\(938\) | −547.138 | + | 744.516i | −0.583303 | + | 0.793727i | ||||
\(939\) | − | 1518.54i | − | 1.61719i | ||||||
\(940\) | 181.825 | − | 104.976i | 0.193430 | − | 0.111677i | ||||
\(941\) | −719.887 | − | 415.627i | −0.765023 | − | 0.441686i | 0.0660730 | − | 0.997815i | \(-0.478953\pi\) |
−0.831096 | + | 0.556128i | \(0.812286\pi\) | |||||||
\(942\) | −2350.05 | − | 1356.80i | −2.49474 | − | 1.44034i | ||||
\(943\) | 255.747 | + | 442.966i | 0.271205 | + | 0.469741i | ||||
\(944\) | 24.0811i | 0.0255096i | ||||||||
\(945\) | −184.287 | − | 20.3840i | −0.195012 | − | 0.0215704i | ||||
\(946\) | − | 958.674i | − | 1.01340i | ||||||
\(947\) | 558.156 | − | 322.251i | 0.589393 | − | 0.340286i | −0.175464 | − | 0.984486i | \(-0.556143\pi\) |
0.764858 | + | 0.644199i | \(0.222809\pi\) | |||||||
\(948\) | 39.0251 | + | 22.5312i | 0.0411657 | + | 0.0237670i | ||||
\(949\) | −31.2870 | − | 18.0635i | −0.0329683 | − | 0.0190343i | ||||
\(950\) | 1111.24 | − | 641.575i | 1.16973 | − | 0.675343i | ||||
\(951\) | 220.683i | 0.232054i | ||||||||
\(952\) | 443.741 | + | 1011.44i | 0.466115 | + | 1.06244i | ||||
\(953\) | −274.483 | −0.288020 | −0.144010 | − | 0.989576i | \(-0.546000\pi\) | ||||
−0.144010 | + | 0.989576i | \(0.546000\pi\) | |||||||
\(954\) | 61.8019 | − | 35.6814i | 0.0647819 | − | 0.0374018i | ||||
\(955\) | −44.7545 | + | 77.5171i | −0.0468633 | + | 0.0811697i | ||||
\(956\) | −262.728 | + | 455.058i | −0.274820 | + | 0.476003i | ||||
\(957\) | −1329.64 | − | 617.512i | −1.38938 | − | 0.645259i | ||||
\(958\) | 294.296i | 0.307198i | ||||||||
\(959\) | 156.648 | + | 357.055i | 0.163345 | + | 0.372320i | ||||
\(960\) | 325.880i | 0.339458i | ||||||||
\(961\) | −785.571 | − | 1360.65i | −0.817451 | − | 1.41587i | ||||
\(962\) | 1789.08 | + | 1032.93i | 1.85976 | + | 1.07373i | ||||
\(963\) | −43.6584 | + | 75.6185i | −0.0453358 | + | 0.0785239i | ||||
\(964\) | 247.520 | − | 142.906i | 0.256763 | − | 0.148242i | ||||
\(965\) | 121.801 | 0.126219 | ||||||||
\(966\) | −2226.24 | − | 246.245i | −2.30460 | − | 0.254912i | ||||
\(967\) | − | 1362.78i | − | 1.40928i | −0.709563 | − | 0.704642i | \(-0.751108\pi\) | ||
0.709563 | − | 0.704642i | \(-0.248892\pi\) | |||||||
\(968\) | −863.511 | + | 498.548i | −0.892057 | + | 0.515029i | ||||
\(969\) | −605.500 | + | 1048.76i | −0.624871 | + | 1.08231i | ||||
\(970\) | −6.34764 | + | 10.9944i | −0.00654396 | + | 0.0113345i | ||||
\(971\) | −531.191 | − | 920.050i | −0.547056 | − | 0.947528i | −0.998474 | − | 0.0552159i | \(-0.982415\pi\) |
0.451419 | − | 0.892312i | \(-0.350918\pi\) | |||||||
\(972\) | 171.510 | 0.176451 | ||||||||
\(973\) | 713.216 | − | 970.505i | 0.733007 | − | 0.997436i | ||||
\(974\) | 1898.74i | 1.94943i | ||||||||
\(975\) | 645.424 | − | 372.636i | 0.661974 | − | 0.382191i | ||||
\(976\) | −61.9776 | + | 107.348i | −0.0635016 | + | 0.109988i | ||||
\(977\) | 415.880 | − | 720.326i | 0.425671 | − | 0.737283i | −0.570812 | − | 0.821081i | \(-0.693372\pi\) |
0.996483 | + | 0.0837974i | \(0.0267049\pi\) | |||||||
\(978\) | 259.760 | + | 449.917i | 0.265603 | + | 0.460038i | ||||
\(979\) | − | 579.311i | − | 0.591738i | ||||||
\(980\) | 289.942 | − | 90.7305i | 0.295859 | − | 0.0925822i | ||||
\(981\) | 78.7163 | 0.0802409 | ||||||||
\(982\) | 986.458 | + | 1708.60i | 1.00454 | + | 1.73991i | ||||
\(983\) | −227.176 | + | 393.481i | −0.231105 | + | 0.400286i | −0.958134 | − | 0.286322i | \(-0.907567\pi\) |
0.727029 | + | 0.686607i | \(0.240901\pi\) | |||||||
\(984\) | 283.525 | + | 163.693i | 0.288135 | + | 0.166355i | ||||
\(985\) | −119.650 | + | 69.0797i | −0.121472 | + | 0.0701317i | ||||
\(986\) | −1762.03 | + | 1237.86i | −1.78705 | + | 1.25544i | ||||
\(987\) | −589.318 | − | 433.085i | −0.597080 | − | 0.438789i | ||||
\(988\) | 1037.93i | 1.05054i | ||||||||
\(989\) | 519.013 | − | 299.652i | 0.524786 | − | 0.302985i | ||||
\(990\) | 23.7301 | + | 13.7006i | 0.0239698 | + | 0.0138390i | ||||
\(991\) | 32.9721 | − | 57.1093i | 0.0332715 | − | 0.0576280i | −0.848910 | − | 0.528537i | \(-0.822741\pi\) |
0.882182 | + | 0.470909i | \(0.156074\pi\) | |||||||
\(992\) | −1592.54 | + | 919.452i | −1.60538 | + | 0.926867i | ||||
\(993\) | − | 399.174i | − | 0.401988i | ||||||
\(994\) | 2379.25 | + | 263.169i | 2.39361 | + | 0.264758i | ||||
\(995\) | 252.336 | 0.253604 | ||||||||
\(996\) | −1820.29 | + | 1050.94i | −1.82760 | + | 1.05517i | ||||
\(997\) | 598.483 | − | 1036.60i | 0.600283 | − | 1.03972i | −0.392494 | − | 0.919754i | \(-0.628388\pi\) |
0.992778 | − | 0.119967i | \(-0.0382789\pi\) | |||||||
\(998\) | −66.3680 | − | 38.3176i | −0.0665010 | − | 0.0383944i | ||||
\(999\) | 1460.23 | − | 843.064i | 1.46169 | − | 0.843908i |
(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 | 203.3.i.a.115.6 | ✓ | 76 | |
7.5 | odd | 6 | inner | 203.3.i.a.173.33 | yes | 76 | |
29.28 | even | 2 | inner | 203.3.i.a.115.33 | yes | 76 | |
203.173 | odd | 6 | inner | 203.3.i.a.173.6 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
203.3.i.a.115.6 | ✓ | 76 | 1.1 | even | 1 | trivial | |
203.3.i.a.115.33 | yes | 76 | 29.28 | even | 2 | inner | |
203.3.i.a.173.6 | yes | 76 | 203.173 | odd | 6 | inner | |
203.3.i.a.173.33 | yes | 76 | 7.5 | odd | 6 | inner |