Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 29.15 |
Dual form | 29.3.f.a.2.1 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{27}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.56136 | + | 0.401269i | −1.78068 | + | 0.200634i | −0.940064 | − | 0.340997i | \(-0.889235\pi\) |
−0.840616 | + | 0.541632i | \(0.817807\pi\) | |||||||
\(3\) | 1.78374 | − | 1.12080i | 0.594579 | − | 0.373599i | −0.200871 | − | 0.979618i | \(-0.564377\pi\) |
0.795450 | + | 0.606019i | \(0.207234\pi\) | |||||||
\(4\) | 8.62256 | − | 1.96804i | 2.15564 | − | 0.492011i | ||||
\(5\) | 5.24106 | + | 4.17960i | 1.04821 | + | 0.835920i | 0.986760 | − | 0.162190i | \(-0.0518556\pi\) |
0.0614515 | + | 0.998110i | \(0.480427\pi\) | |||||||
\(6\) | −5.90279 | + | 4.70732i | −0.983798 | + | 0.784553i | ||||
\(7\) | 2.11977 | − | 9.28734i | 0.302825 | − | 1.32676i | −0.563017 | − | 0.826445i | \(-0.690360\pi\) |
0.865842 | − | 0.500317i | \(-0.166783\pi\) | |||||||
\(8\) | −16.3872 | + | 5.73413i | −2.04840 | + | 0.716766i | ||||
\(9\) | −1.97942 | + | 4.11031i | −0.219936 | + | 0.456701i | ||||
\(10\) | −20.3424 | − | 12.7820i | −2.03424 | − | 1.27820i | ||||
\(11\) | −0.700768 | − | 0.245209i | −0.0637061 | − | 0.0222917i | 0.298238 | − | 0.954492i | \(-0.403601\pi\) |
−0.361944 | + | 0.932200i | \(0.617887\pi\) | |||||||
\(12\) | 13.1746 | − | 13.1746i | 1.09788 | − | 1.09788i | ||||
\(13\) | 3.39382 | + | 7.04735i | 0.261063 | + | 0.542104i | 0.989761 | − | 0.142731i | \(-0.0455885\pi\) |
−0.728698 | + | 0.684835i | \(0.759874\pi\) | |||||||
\(14\) | −3.82256 | + | 33.9262i | −0.273040 | + | 2.42330i | ||||
\(15\) | 14.0331 | + | 1.58116i | 0.935543 | + | 0.105410i | ||||
\(16\) | 24.1861 | − | 11.6474i | 1.51163 | − | 0.727962i | ||||
\(17\) | −17.4730 | − | 17.4730i | −1.02782 | − | 1.02782i | −0.999602 | − | 0.0282209i | \(-0.991016\pi\) |
−0.0282209 | − | 0.999602i | \(-0.508984\pi\) | |||||||
\(18\) | 5.40009 | − | 15.4326i | 0.300005 | − | 0.857366i | ||||
\(19\) | −7.96846 | + | 12.6817i | −0.419393 | + | 0.667460i | −0.987878 | − | 0.155234i | \(-0.950387\pi\) |
0.568485 | + | 0.822694i | \(0.307530\pi\) | |||||||
\(20\) | 53.4169 | + | 25.7242i | 2.67085 | + | 1.28621i | ||||
\(21\) | −6.62809 | − | 18.9420i | −0.315623 | − | 0.902000i | ||||
\(22\) | 2.59408 | + | 0.592082i | 0.117913 | + | 0.0269128i | ||||
\(23\) | −11.9732 | − | 15.0139i | −0.520575 | − | 0.652780i | 0.450156 | − | 0.892950i | \(-0.351368\pi\) |
−0.970731 | + | 0.240170i | \(0.922797\pi\) | |||||||
\(24\) | −22.8037 | + | 28.5949i | −0.950153 | + | 1.19145i | ||||
\(25\) | 4.43656 | + | 19.4379i | 0.177463 | + | 0.777514i | ||||
\(26\) | −14.9145 | − | 23.7363i | −0.573635 | − | 0.912935i | ||||
\(27\) | 3.19887 | + | 28.3907i | 0.118476 | + | 1.05151i | ||||
\(28\) | − | 84.2524i | − | 3.00901i | ||||||
\(29\) | −19.7681 | + | 21.2184i | −0.681659 | + | 0.731670i | ||||
\(30\) | −50.6115 | −1.68705 | ||||||||
\(31\) | 0.327624 | − | 0.0369143i | 0.0105685 | − | 0.00119078i | −0.106679 | − | 0.994294i | \(-0.534022\pi\) |
0.117247 | + | 0.993103i | \(0.462593\pi\) | |||||||
\(32\) | −22.6600 | + | 14.2382i | −0.708124 | + | 0.444944i | ||||
\(33\) | −1.52481 | + | 0.348029i | −0.0462065 | + | 0.0105463i | ||||
\(34\) | 69.2390 | + | 55.2162i | 2.03644 | + | 1.62401i | ||||
\(35\) | 49.9272 | − | 39.8156i | 1.42649 | − | 1.13759i | ||||
\(36\) | −8.97841 | + | 39.3370i | −0.249400 | + | 1.09269i | ||||
\(37\) | −15.2693 | + | 5.34296i | −0.412684 | + | 0.144404i | −0.528632 | − | 0.848851i | \(-0.677295\pi\) |
0.115949 | + | 0.993255i | \(0.463009\pi\) | |||||||
\(38\) | 23.2898 | − | 48.3617i | 0.612889 | − | 1.27268i | ||||
\(39\) | 13.9523 | + | 8.76682i | 0.357752 | + | 0.224790i | ||||
\(40\) | −109.853 | − | 38.4391i | −2.74632 | − | 0.960978i | ||||
\(41\) | 28.0484 | − | 28.0484i | 0.684106 | − | 0.684106i | −0.276816 | − | 0.960923i | \(-0.589279\pi\) |
0.960923 | + | 0.276816i | \(0.0892794\pi\) | |||||||
\(42\) | 31.2059 | + | 64.7996i | 0.742996 | + | 1.54285i | ||||
\(43\) | 0.679170 | − | 6.02780i | 0.0157947 | − | 0.140181i | −0.983340 | − | 0.181776i | \(-0.941815\pi\) |
0.999135 | + | 0.0415949i | \(0.0132439\pi\) | |||||||
\(44\) | −6.52499 | − | 0.735190i | −0.148295 | − | 0.0167089i | ||||
\(45\) | −27.5537 | + | 13.2692i | −0.612305 | + | 0.294871i | ||||
\(46\) | 48.6656 | + | 48.6656i | 1.05795 | + | 1.05795i | ||||
\(47\) | 1.43620 | − | 4.10443i | 0.0305575 | − | 0.0873282i | −0.927594 | − | 0.373590i | \(-0.878127\pi\) |
0.958152 | + | 0.286261i | \(0.0924126\pi\) | |||||||
\(48\) | 30.0872 | − | 47.8835i | 0.626817 | − | 0.997573i | ||||
\(49\) | −37.6137 | − | 18.1138i | −0.767627 | − | 0.369670i | ||||
\(50\) | −23.6000 | − | 67.4450i | −0.472000 | − | 1.34890i | ||||
\(51\) | −50.7508 | − | 11.5835i | −0.995115 | − | 0.227128i | ||||
\(52\) | 43.1329 | + | 54.0870i | 0.829479 | + | 1.04013i | ||||
\(53\) | −37.6082 | + | 47.1592i | −0.709589 | + | 0.889797i | −0.997699 | − | 0.0678006i | \(-0.978402\pi\) |
0.288110 | + | 0.957597i | \(0.406973\pi\) | |||||||
\(54\) | −22.7846 | − | 99.8260i | −0.421937 | − | 1.84863i | ||||
\(55\) | −2.64789 | − | 4.21408i | −0.0481434 | − | 0.0766197i | ||||
\(56\) | 18.5176 | + | 164.349i | 0.330672 | + | 2.93480i | ||||
\(57\) | 31.5519i | 0.553542i | ||||||||
\(58\) | 61.8871 | − | 83.4988i | 1.06702 | − | 1.43963i | ||||
\(59\) | 91.1542 | 1.54499 | 0.772493 | − | 0.635023i | \(-0.219009\pi\) | ||||
0.772493 | + | 0.635023i | \(0.219009\pi\) | |||||||
\(60\) | 124.113 | − | 13.9842i | 2.06856 | − | 0.233070i | ||||
\(61\) | 6.43745 | − | 4.04492i | 0.105532 | − | 0.0663101i | −0.478232 | − | 0.878234i | \(-0.658722\pi\) |
0.583764 | + | 0.811923i | \(0.301579\pi\) | |||||||
\(62\) | −1.15197 | + | 0.262930i | −0.0185802 | + | 0.00424081i | ||||
\(63\) | 33.9779 | + | 27.0965i | 0.539332 | + | 0.430103i | ||||
\(64\) | −8.96447 | + | 7.14893i | −0.140070 | + | 0.111702i | ||||
\(65\) | −11.6679 | + | 51.1204i | −0.179506 | + | 0.786467i | ||||
\(66\) | 5.29076 | − | 1.85132i | 0.0801630 | − | 0.0280503i | ||||
\(67\) | 29.8663 | − | 62.0180i | 0.445766 | − | 0.925642i | −0.550125 | − | 0.835082i | \(-0.685420\pi\) |
0.995891 | − | 0.0905598i | \(-0.0288656\pi\) | |||||||
\(68\) | −185.049 | − | 116.274i | −2.72131 | − | 1.70992i | ||||
\(69\) | −38.1846 | − | 13.3614i | −0.553401 | − | 0.193643i | ||||
\(70\) | −161.832 | + | 161.832i | −2.31189 | + | 2.31189i | ||||
\(71\) | −38.1572 | − | 79.2343i | −0.537426 | − | 1.11598i | −0.976098 | − | 0.217329i | \(-0.930265\pi\) |
0.438672 | − | 0.898647i | \(-0.355449\pi\) | |||||||
\(72\) | 8.86813 | − | 78.7068i | 0.123168 | − | 1.09315i | ||||
\(73\) | −29.1293 | − | 3.28209i | −0.399032 | − | 0.0449601i | −0.0898315 | − | 0.995957i | \(-0.528633\pi\) |
−0.309200 | + | 0.950997i | \(0.600061\pi\) | |||||||
\(74\) | 52.2355 | − | 25.1553i | 0.705885 | − | 0.339936i | ||||
\(75\) | 29.6995 | + | 29.6995i | 0.395994 | + | 0.395994i | ||||
\(76\) | −43.7503 | + | 125.031i | −0.575662 | + | 1.64515i | ||||
\(77\) | −3.76281 | + | 5.98848i | −0.0488677 | + | 0.0777724i | ||||
\(78\) | −53.2071 | − | 25.6232i | −0.682142 | − | 0.328502i | ||||
\(79\) | 7.28322 | + | 20.8142i | 0.0921927 | + | 0.263472i | 0.980741 | − | 0.195311i | \(-0.0625715\pi\) |
−0.888549 | + | 0.458782i | \(0.848286\pi\) | |||||||
\(80\) | 175.442 | + | 40.0435i | 2.19302 | + | 0.500543i | ||||
\(81\) | 11.9263 | + | 14.9551i | 0.147238 | + | 0.184631i | ||||
\(82\) | −88.6354 | + | 111.145i | −1.08092 | + | 1.35543i | ||||
\(83\) | 9.19165 | + | 40.2713i | 0.110743 | + | 0.485196i | 0.999633 | + | 0.0270764i | \(0.00861974\pi\) |
−0.888891 | + | 0.458120i | \(0.848523\pi\) | |||||||
\(84\) | −94.4297 | − | 150.284i | −1.12416 | − | 1.78910i | ||||
\(85\) | −18.5468 | − | 164.607i | −0.218197 | − | 1.93655i | ||||
\(86\) | 21.7397i | 0.252787i | ||||||||
\(87\) | −11.4796 | + | 60.0041i | −0.131949 | + | 0.689702i | ||||
\(88\) | 12.8897 | 0.146474 | ||||||||
\(89\) | 98.0089 | − | 11.0429i | 1.10122 | − | 0.124078i | 0.457407 | − | 0.889258i | \(-0.348778\pi\) |
0.643817 | + | 0.765180i | \(0.277350\pi\) | |||||||
\(90\) | 92.8042 | − | 58.3128i | 1.03116 | − | 0.647920i | ||||
\(91\) | 72.6452 | − | 16.5808i | 0.798299 | − | 0.182207i | ||||
\(92\) | −132.788 | − | 105.895i | −1.44335 | − | 1.15103i | ||||
\(93\) | 0.543021 | − | 0.433045i | 0.00583893 | − | 0.00465639i | ||||
\(94\) | −3.46785 | + | 15.1936i | −0.0368920 | + | 0.161635i | ||||
\(95\) | −94.7678 | + | 33.1607i | −0.997556 | + | 0.349060i | ||||
\(96\) | −24.4613 | + | 50.7944i | −0.254805 | + | 0.529109i | ||||
\(97\) | 136.891 | + | 86.0143i | 1.41125 | + | 0.886745i | 0.999696 | − | 0.0246414i | \(-0.00784441\pi\) |
0.411551 | + | 0.911387i | \(0.364987\pi\) | |||||||
\(98\) | 141.224 | + | 49.4166i | 1.44107 | + | 0.504251i | ||||
\(99\) | 2.39500 | − | 2.39500i | 0.0241919 | − | 0.0241919i | ||||
\(100\) | 76.5091 | + | 158.873i | 0.765091 | + | 1.58873i | ||||
\(101\) | 0.930887 | − | 8.26185i | 0.00921670 | − | 0.0818005i | −0.988262 | − | 0.152770i | \(-0.951181\pi\) |
0.997478 | + | 0.0709693i | \(0.0226092\pi\) | |||||||
\(102\) | 185.390 | + | 20.8885i | 1.81755 | + | 0.204789i | ||||
\(103\) | −65.6998 | + | 31.6393i | −0.637862 | + | 0.307178i | −0.724721 | − | 0.689043i | \(-0.758031\pi\) |
0.0868590 | + | 0.996221i | \(0.472317\pi\) | |||||||
\(104\) | −96.0257 | − | 96.0257i | −0.923324 | − | 0.923324i | ||||
\(105\) | 44.4318 | − | 126.979i | 0.423160 | − | 1.20932i | ||||
\(106\) | 115.013 | − | 183.042i | 1.08503 | − | 1.72681i | ||||
\(107\) | −73.2735 | − | 35.2867i | −0.684799 | − | 0.329782i | 0.0589308 | − | 0.998262i | \(-0.481231\pi\) |
−0.743730 | + | 0.668480i | \(0.766945\pi\) | |||||||
\(108\) | 83.4565 | + | 238.505i | 0.772746 | + | 2.20838i | ||||
\(109\) | 119.739 | + | 27.3296i | 1.09852 | + | 0.250730i | 0.733106 | − | 0.680114i | \(-0.238070\pi\) |
0.365415 | + | 0.930845i | \(0.380927\pi\) | |||||||
\(110\) | 11.1211 | + | 13.9454i | 0.101100 | + | 0.126776i | ||||
\(111\) | −21.2480 | + | 26.6442i | −0.191424 | + | 0.240038i | ||||
\(112\) | −56.9043 | − | 249.314i | −0.508074 | − | 2.22602i | ||||
\(113\) | 84.5371 | + | 134.540i | 0.748116 | + | 1.19062i | 0.976178 | + | 0.216973i | \(0.0696182\pi\) |
−0.228062 | + | 0.973647i | \(0.573239\pi\) | |||||||
\(114\) | −12.6608 | − | 112.368i | −0.111060 | − | 0.985681i | ||||
\(115\) | − | 128.732i | − | 1.11941i | ||||||
\(116\) | −128.693 | + | 221.862i | −1.10942 | + | 1.91260i | ||||
\(117\) | −35.6846 | −0.304997 | ||||||||
\(118\) | −324.633 | + | 36.5773i | −2.75113 | + | 0.309977i | ||||
\(119\) | −199.316 | + | 125.239i | −1.67493 | + | 1.05243i | ||||
\(120\) | −239.031 | + | 54.5572i | −1.99192 | + | 0.454643i | ||||
\(121\) | −94.1707 | − | 75.0986i | −0.778270 | − | 0.620650i | ||||
\(122\) | −21.3030 | + | 16.9886i | −0.174615 | + | 0.139250i | ||||
\(123\) | 18.5944 | − | 81.4674i | 0.151174 | − | 0.662336i | ||||
\(124\) | 2.75231 | − | 0.963073i | 0.0221960 | − | 0.00776672i | ||||
\(125\) | 14.7239 | − | 30.5745i | 0.117791 | − | 0.244596i | ||||
\(126\) | −131.881 | − | 82.8661i | −1.04667 | − | 0.657667i | ||||
\(127\) | 91.0577 | + | 31.8625i | 0.716990 | + | 0.250886i | 0.664025 | − | 0.747711i | \(-0.268847\pi\) |
0.0529652 | + | 0.998596i | \(0.483133\pi\) | |||||||
\(128\) | 104.751 | − | 104.751i | 0.818369 | − | 0.818369i | ||||
\(129\) | −5.54447 | − | 11.5132i | −0.0429804 | − | 0.0892498i | ||||
\(130\) | 21.0405 | − | 186.740i | 0.161850 | − | 1.43646i | ||||
\(131\) | 75.6558 | + | 8.52436i | 0.577525 | + | 0.0650714i | 0.395895 | − | 0.918296i | \(-0.370434\pi\) |
0.181630 | + | 0.983367i | \(0.441863\pi\) | |||||||
\(132\) | −12.4629 | + | 6.00180i | −0.0944156 | + | 0.0454682i | ||||
\(133\) | 100.888 | + | 100.888i | 0.758558 | + | 0.758558i | ||||
\(134\) | −81.4787 | + | 232.853i | −0.608050 | + | 1.73771i | ||||
\(135\) | −101.896 | + | 162.167i | −0.754789 | + | 1.20124i | ||||
\(136\) | 386.526 | + | 186.141i | 2.84210 | + | 1.36868i | ||||
\(137\) | −50.4454 | − | 144.165i | −0.368215 | − | 1.05230i | −0.967742 | − | 0.251943i | \(-0.918931\pi\) |
0.599528 | − | 0.800354i | \(-0.295355\pi\) | |||||||
\(138\) | 141.351 | + | 32.2624i | 1.02428 | + | 0.233785i | ||||
\(139\) | −84.2699 | − | 105.671i | −0.606258 | − | 0.760224i | 0.380080 | − | 0.924953i | \(-0.375896\pi\) |
−0.986339 | + | 0.164729i | \(0.947325\pi\) | |||||||
\(140\) | 352.142 | − | 441.572i | 2.51530 | − | 3.15408i | ||||
\(141\) | −2.03842 | − | 8.93090i | −0.0144569 | − | 0.0633398i | ||||
\(142\) | 167.686 | + | 266.871i | 1.18089 | + | 1.87937i | ||||
\(143\) | −0.650207 | − | 5.77075i | −0.00454690 | − | 0.0403549i | ||||
\(144\) | 122.467i | 0.850467i | ||||||||
\(145\) | −192.290 | + | 28.5841i | −1.32614 | + | 0.197132i | ||||
\(146\) | 105.057 | 0.719569 | ||||||||
\(147\) | −87.3948 | + | 9.84703i | −0.594523 | + | 0.0669866i | ||||
\(148\) | −121.145 | + | 76.1206i | −0.818549 | + | 0.514328i | ||||
\(149\) | 58.0928 | − | 13.2593i | 0.389885 | − | 0.0889886i | −0.0230848 | − | 0.999734i | \(-0.507349\pi\) |
0.412969 | + | 0.910745i | \(0.364492\pi\) | |||||||
\(150\) | −117.688 | − | 93.8532i | −0.784588 | − | 0.625688i | ||||
\(151\) | −203.074 | + | 161.946i | −1.34486 | + | 1.07249i | −0.354340 | + | 0.935117i | \(0.615294\pi\) |
−0.990519 | + | 0.137373i | \(0.956134\pi\) | |||||||
\(152\) | 57.8621 | − | 253.510i | 0.380672 | − | 1.66783i | ||||
\(153\) | 106.406 | − | 37.2330i | 0.695463 | − | 0.243353i | ||||
\(154\) | 10.9977 | − | 22.8370i | 0.0714138 | − | 0.148292i | ||||
\(155\) | 1.87138 | + | 1.17587i | 0.0120734 | + | 0.00758624i | ||||
\(156\) | 137.558 | + | 48.1337i | 0.881783 | + | 0.308549i | ||||
\(157\) | −132.437 | + | 132.437i | −0.843550 | + | 0.843550i | −0.989319 | − | 0.145769i | \(-0.953434\pi\) |
0.145769 | + | 0.989319i | \(0.453434\pi\) | |||||||
\(158\) | −34.2903 | − | 71.2045i | −0.217027 | − | 0.450661i | ||||
\(159\) | −14.2273 | + | 126.271i | −0.0894799 | + | 0.794156i | ||||
\(160\) | −178.272 | − | 20.0865i | −1.11420 | − | 0.125540i | ||||
\(161\) | −164.820 | + | 79.3732i | −1.02373 | + | 0.493001i | ||||
\(162\) | −48.4749 | − | 48.4749i | −0.299228 | − | 0.299228i | ||||
\(163\) | 84.1241 | − | 240.413i | 0.516098 | − | 1.47492i | −0.331073 | − | 0.943605i | \(-0.607411\pi\) |
0.847171 | − | 0.531320i | \(-0.178304\pi\) | |||||||
\(164\) | 186.648 | − | 297.049i | 1.13810 | − | 1.81127i | ||||
\(165\) | −9.44626 | − | 4.54908i | −0.0572500 | − | 0.0275702i | ||||
\(166\) | −48.8944 | − | 139.732i | −0.294545 | − | 0.841760i | ||||
\(167\) | −37.5325 | − | 8.56655i | −0.224746 | − | 0.0512967i | 0.108665 | − | 0.994078i | \(-0.465342\pi\) |
−0.333411 | + | 0.942782i | \(0.608200\pi\) | |||||||
\(168\) | 217.232 | + | 272.400i | 1.29305 | + | 1.62143i | ||||
\(169\) | 67.2227 | − | 84.2946i | 0.397768 | − | 0.498785i | ||||
\(170\) | 132.103 | + | 578.783i | 0.777079 | + | 3.40460i | ||||
\(171\) | −36.3529 | − | 57.8554i | −0.212590 | − | 0.338336i | ||||
\(172\) | −6.00679 | − | 53.3117i | −0.0349232 | − | 0.309952i | ||||
\(173\) | − | 38.3828i | − | 0.221866i | −0.993828 | − | 0.110933i | \(-0.964616\pi\) | ||
0.993828 | − | 0.110933i | \(-0.0353839\pi\) | |||||||
\(174\) | 16.8052 | − | 218.303i | 0.0965814 | − | 1.25461i | ||||
\(175\) | 189.930 | 1.08532 | ||||||||
\(176\) | −19.8048 | + | 2.23147i | −0.112528 | + | 0.0126788i | ||||
\(177\) | 162.595 | − | 102.165i | 0.918616 | − | 0.577205i | ||||
\(178\) | −344.614 | + | 78.6558i | −1.93603 | + | 0.441887i | ||||
\(179\) | 136.077 | + | 108.518i | 0.760206 | + | 0.606244i | 0.924949 | − | 0.380092i | \(-0.124108\pi\) |
−0.164742 | + | 0.986337i | \(0.552679\pi\) | |||||||
\(180\) | −211.469 | + | 168.641i | −1.17483 | + | 0.936895i | ||||
\(181\) | 37.8882 | − | 165.999i | 0.209327 | − | 0.917122i | −0.755689 | − | 0.654931i | \(-0.772698\pi\) |
0.965016 | − | 0.262191i | \(-0.0844451\pi\) | |||||||
\(182\) | −252.062 | + | 88.2005i | −1.38496 | + | 0.484618i | ||||
\(183\) | 6.94919 | − | 14.4301i | 0.0379737 | − | 0.0788532i | ||||
\(184\) | 282.300 | + | 177.381i | 1.53424 | + | 0.964025i | ||||
\(185\) | −102.359 | − | 35.8168i | −0.553290 | − | 0.193605i | ||||
\(186\) | −1.76013 | + | 1.76013i | −0.00946304 | + | 0.00946304i | ||||
\(187\) | 7.95997 | + | 16.5290i | 0.0425667 | + | 0.0883906i | ||||
\(188\) | 4.30604 | − | 38.2172i | 0.0229045 | − | 0.203283i | ||||
\(189\) | 270.455 | + | 30.4730i | 1.43098 | + | 0.161233i | ||||
\(190\) | 324.196 | − | 156.124i | 1.70629 | − | 0.821708i | ||||
\(191\) | −20.1345 | − | 20.1345i | −0.105416 | − | 0.105416i | 0.652431 | − | 0.757848i | \(-0.273749\pi\) |
−0.757848 | + | 0.652431i | \(0.773749\pi\) | |||||||
\(192\) | −7.97777 | + | 22.7991i | −0.0415509 | + | 0.118746i | ||||
\(193\) | −157.961 | + | 251.393i | −0.818449 | + | 1.30255i | 0.131867 | + | 0.991267i | \(0.457903\pi\) |
−0.950316 | + | 0.311287i | \(0.899240\pi\) | |||||||
\(194\) | −522.033 | − | 251.398i | −2.69089 | − | 1.29587i | ||||
\(195\) | 36.4831 | + | 104.263i | 0.187093 | + | 0.534680i | ||||
\(196\) | −359.975 | − | 82.1620i | −1.83661 | − | 0.419194i | ||||
\(197\) | 152.105 | + | 190.734i | 0.772108 | + | 0.968192i | 0.999985 | − | 0.00549749i | \(-0.00174991\pi\) |
−0.227877 | + | 0.973690i | \(0.573178\pi\) | |||||||
\(198\) | −7.56842 | + | 9.49050i | −0.0382243 | + | 0.0479318i | ||||
\(199\) | −70.5672 | − | 309.175i | −0.354609 | − | 1.55364i | −0.766399 | − | 0.642365i | \(-0.777953\pi\) |
0.411789 | − | 0.911279i | \(-0.364904\pi\) | |||||||
\(200\) | −184.162 | − | 293.092i | −0.920811 | − | 1.46546i | ||||
\(201\) | −16.2359 | − | 144.098i | −0.0807757 | − | 0.716904i | ||||
\(202\) | 29.7970i | 0.147510i | ||||||||
\(203\) | 155.159 | + | 228.571i | 0.764329 | + | 1.12597i | ||||
\(204\) | −460.399 | −2.25686 | ||||||||
\(205\) | 264.234 | − | 29.7720i | 1.28895 | − | 0.145229i | ||||
\(206\) | 221.285 | − | 139.042i | 1.07420 | − | 0.674963i | ||||
\(207\) | 85.4121 | − | 19.4947i | 0.412619 | − | 0.0941775i | ||||
\(208\) | 164.166 | + | 130.918i | 0.789261 | + | 0.629415i | ||||
\(209\) | 8.69372 | − | 6.93301i | 0.0415967 | − | 0.0331723i | ||||
\(210\) | −107.285 | + | 470.046i | −0.510881 | + | 2.23832i | ||||
\(211\) | 353.376 | − | 123.652i | 1.67477 | − | 0.586027i | 0.684978 | − | 0.728563i | \(-0.259812\pi\) |
0.989789 | + | 0.142537i | \(0.0455259\pi\) | |||||||
\(212\) | −231.468 | + | 480.648i | −1.09183 | + | 2.26721i | ||||
\(213\) | −156.868 | − | 98.5667i | −0.736469 | − | 0.462754i | ||||
\(214\) | 275.113 | + | 96.2661i | 1.28557 | + | 0.449842i | ||||
\(215\) | 28.7534 | − | 28.7534i | 0.133737 | − | 0.133737i | ||||
\(216\) | −215.217 | − | 446.902i | −0.996373 | − | 2.06899i | ||||
\(217\) | 0.351652 | − | 3.12100i | 0.00162052 | − | 0.0143825i | ||||
\(218\) | −437.400 | − | 49.2831i | −2.00642 | − | 0.226069i | ||||
\(219\) | −55.6376 | + | 26.7937i | −0.254053 | + | 0.122345i | ||||
\(220\) | −31.1250 | − | 31.1250i | −0.141477 | − | 0.141477i | ||||
\(221\) | 63.8380 | − | 182.438i | 0.288860 | − | 0.825513i | ||||
\(222\) | 64.9804 | − | 103.416i | 0.292704 | − | 0.465836i | ||||
\(223\) | −249.428 | − | 120.118i | −1.11851 | − | 0.538647i | −0.219079 | − | 0.975707i | \(-0.570305\pi\) |
−0.899432 | + | 0.437061i | \(0.856020\pi\) | |||||||
\(224\) | 84.2010 | + | 240.633i | 0.375897 | + | 1.07425i | ||||
\(225\) | −88.6775 | − | 20.2401i | −0.394122 | − | 0.0899558i | ||||
\(226\) | −355.054 | − | 445.223i | −1.57103 | − | 1.97001i | ||||
\(227\) | −163.809 | + | 205.410i | −0.721624 | + | 0.904888i | −0.998429 | − | 0.0560385i | \(-0.982153\pi\) |
0.276805 | + | 0.960926i | \(0.410724\pi\) | |||||||
\(228\) | 62.0955 | + | 272.058i | 0.272349 | + | 1.19324i | ||||
\(229\) | 164.093 | + | 261.153i | 0.716564 | + | 1.14040i | 0.984230 | + | 0.176893i | \(0.0566046\pi\) |
−0.267667 | + | 0.963512i | \(0.586253\pi\) | |||||||
\(230\) | 51.6562 | + | 458.462i | 0.224592 | + | 1.99331i | ||||
\(231\) | 14.8992i | 0.0644987i | ||||||||
\(232\) | 202.275 | − | 461.064i | 0.871875 | − | 1.98734i | ||||
\(233\) | 92.4111 | 0.396614 | 0.198307 | − | 0.980140i | \(-0.436456\pi\) | ||||
0.198307 | + | 0.980140i | \(0.436456\pi\) | |||||||
\(234\) | 127.086 | − | 14.3191i | 0.543101 | − | 0.0611928i | ||||
\(235\) | 24.6821 | − | 15.5088i | 0.105030 | − | 0.0659948i | ||||
\(236\) | 785.982 | − | 179.395i | 3.33043 | − | 0.760150i | ||||
\(237\) | 36.3199 | + | 28.9641i | 0.153248 | + | 0.122212i | ||||
\(238\) | 659.583 | − | 526.000i | 2.77136 | − | 2.21008i | ||||
\(239\) | −91.6570 | + | 401.575i | −0.383502 | + | 1.68023i | 0.302910 | + | 0.953019i | \(0.402042\pi\) |
−0.686412 | + | 0.727213i | \(0.740815\pi\) | |||||||
\(240\) | 357.823 | − | 125.208i | 1.49093 | − | 0.521698i | ||||
\(241\) | −53.8613 | + | 111.844i | −0.223491 | + | 0.464084i | −0.982321 | − | 0.187205i | \(-0.940057\pi\) |
0.758830 | + | 0.651289i | \(0.225771\pi\) | |||||||
\(242\) | 365.510 | + | 229.665i | 1.51037 | + | 0.949031i | ||||
\(243\) | −204.669 | − | 71.6167i | −0.842258 | − | 0.294719i | ||||
\(244\) | 47.5467 | − | 47.5467i | 0.194864 | − | 0.194864i | ||||
\(245\) | −121.427 | − | 252.146i | −0.495621 | − | 1.02917i | ||||
\(246\) | −33.5310 | + | 297.596i | −0.136305 | + | 1.20974i | ||||
\(247\) | −116.416 | − | 13.1169i | −0.471320 | − | 0.0531051i | ||||
\(248\) | −5.15717 | + | 2.48356i | −0.0207950 | + | 0.0100144i | ||||
\(249\) | 61.5314 | + | 61.5314i | 0.247114 | + | 0.247114i | ||||
\(250\) | −40.1686 | + | 114.795i | −0.160674 | + | 0.459181i | ||||
\(251\) | 17.8330 | − | 28.3810i | 0.0710477 | − | 0.113072i | −0.809311 | − | 0.587381i | \(-0.800159\pi\) |
0.880358 | + | 0.474309i | \(0.157302\pi\) | |||||||
\(252\) | 346.304 | + | 166.771i | 1.37422 | + | 0.661790i | ||||
\(253\) | 4.70889 | + | 13.4572i | 0.0186122 | + | 0.0531906i | ||||
\(254\) | −337.075 | − | 76.9351i | −1.32707 | − | 0.302894i | ||||
\(255\) | −217.573 | − | 272.828i | −0.853229 | − | 1.06992i | ||||
\(256\) | −302.428 | + | 379.233i | −1.18136 | + | 1.48138i | ||||
\(257\) | −60.1375 | − | 263.480i | −0.233998 | − | 1.02521i | −0.946287 | − | 0.323327i | \(-0.895199\pi\) |
0.712289 | − | 0.701886i | \(-0.247658\pi\) | |||||||
\(258\) | 24.3658 | + | 38.7779i | 0.0944410 | + | 0.150302i | ||||
\(259\) | 17.2544 | + | 153.137i | 0.0666193 | + | 0.591262i | ||||
\(260\) | 463.751i | 1.78366i | ||||||||
\(261\) | −48.0849 | − | 123.253i | −0.184233 | − | 0.472235i | ||||
\(262\) | −272.858 | −1.04144 | ||||||||
\(263\) | 177.612 | − | 20.0120i | 0.675329 | − | 0.0760914i | 0.232362 | − | 0.972629i | \(-0.425354\pi\) |
0.442967 | + | 0.896538i | \(0.353926\pi\) | |||||||
\(264\) | 22.9918 | − | 14.4467i | 0.0870902 | − | 0.0547224i | ||||
\(265\) | −394.214 | + | 89.9767i | −1.48760 | + | 0.339535i | ||||
\(266\) | −399.783 | − | 318.816i | −1.50294 | − | 1.19856i | ||||
\(267\) | 162.445 | − | 129.546i | 0.608409 | − | 0.485190i | ||||
\(268\) | 135.470 | − | 593.532i | 0.505484 | − | 2.21467i | ||||
\(269\) | −369.061 | + | 129.140i | −1.37197 | + | 0.480074i | −0.912849 | − | 0.408298i | \(-0.866122\pi\) |
−0.459124 | + | 0.888372i | \(0.651837\pi\) | |||||||
\(270\) | 297.817 | − | 618.424i | 1.10303 | − | 2.29046i | ||||
\(271\) | 28.6724 | + | 18.0161i | 0.105802 | + | 0.0664799i | 0.583894 | − | 0.811830i | \(-0.301528\pi\) |
−0.478092 | + | 0.878310i | \(0.658671\pi\) | |||||||
\(272\) | −626.117 | − | 219.088i | −2.30190 | − | 0.805470i | ||||
\(273\) | 110.996 | − | 110.996i | 0.406580 | − | 0.406580i | ||||
\(274\) | 237.503 | + | 493.180i | 0.866799 | + | 1.79993i | ||||
\(275\) | 1.65734 | − | 14.7093i | 0.00602669 | − | 0.0534884i | ||||
\(276\) | −355.545 | − | 40.0603i | −1.28821 | − | 0.145146i | ||||
\(277\) | −106.776 | + | 51.4207i | −0.385473 | + | 0.185634i | −0.616576 | − | 0.787295i | \(-0.711481\pi\) |
0.231103 | + | 0.972929i | \(0.425767\pi\) | |||||||
\(278\) | 342.518 | + | 342.518i | 1.23208 | + | 1.23208i | ||||
\(279\) | −0.496776 | + | 1.41970i | −0.00178056 | + | 0.00508855i | ||||
\(280\) | −589.860 | + | 938.756i | −2.10664 | + | 3.35270i | ||||
\(281\) | 257.658 | + | 124.081i | 0.916932 | + | 0.441571i | 0.831975 | − | 0.554814i | \(-0.187210\pi\) |
0.0849569 | + | 0.996385i | \(0.472925\pi\) | |||||||
\(282\) | 10.8432 | + | 30.9882i | 0.0384512 | + | 0.109887i | ||||
\(283\) | −221.399 | − | 50.5329i | −0.782329 | − | 0.178561i | −0.187340 | − | 0.982295i | \(-0.559986\pi\) |
−0.594989 | + | 0.803734i | \(0.702844\pi\) | |||||||
\(284\) | −484.950 | − | 608.108i | −1.70757 | − | 2.14122i | ||||
\(285\) | −131.874 | + | 165.365i | −0.462717 | + | 0.580229i | ||||
\(286\) | 4.63124 | + | 20.2908i | 0.0161932 | + | 0.0709469i | ||||
\(287\) | −201.038 | − | 319.951i | −0.700482 | − | 1.11481i | ||||
\(288\) | −13.6698 | − | 121.323i | −0.0474647 | − | 0.421260i | ||||
\(289\) | 321.610i | 1.11284i | ||||||||
\(290\) | 673.345 | − | 178.958i | 2.32188 | − | 0.617098i | ||||
\(291\) | 340.582 | 1.17038 | ||||||||
\(292\) | −257.629 | + | 29.0278i | −0.882290 | + | 0.0994102i | ||||
\(293\) | −160.239 | + | 100.685i | −0.546891 | + | 0.343634i | −0.776970 | − | 0.629538i | \(-0.783244\pi\) |
0.230079 | + | 0.973172i | \(0.426101\pi\) | |||||||
\(294\) | 307.293 | − | 70.1377i | 1.04521 | − | 0.238563i | ||||
\(295\) | 477.744 | + | 380.988i | 1.61947 | + | 1.29149i | ||||
\(296\) | 219.584 | − | 175.112i | 0.741837 | − | 0.591595i | ||||
\(297\) | 4.72000 | − | 20.6797i | 0.0158923 | − | 0.0696286i | ||||
\(298\) | −201.569 | + | 70.5320i | −0.676405 | + | 0.236685i | ||||
\(299\) | 65.1735 | − | 135.334i | 0.217971 | − | 0.452622i | ||||
\(300\) | 314.536 | + | 197.636i | 1.04845 | + | 0.658787i | ||||
\(301\) | −54.5425 | − | 19.0853i | −0.181204 | − | 0.0634062i | ||||
\(302\) | 658.235 | − | 658.235i | 2.17959 | − | 2.17959i | ||||
\(303\) | −7.59939 | − | 15.7803i | −0.0250805 | − | 0.0520802i | ||||
\(304\) | −45.0165 | + | 399.533i | −0.148081 | + | 1.31425i | ||||
\(305\) | 50.6452 | + | 5.70634i | 0.166050 | + | 0.0187093i | ||||
\(306\) | −364.009 | + | 175.297i | −1.18957 | + | 0.572868i | ||||
\(307\) | −287.766 | − | 287.766i | −0.937349 | − | 0.937349i | 0.0608010 | − | 0.998150i | \(-0.480634\pi\) |
−0.998150 | + | 0.0608010i | \(0.980634\pi\) | |||||||
\(308\) | −20.6595 | + | 59.0414i | −0.0670762 | + | 0.191693i | ||||
\(309\) | −81.7298 | + | 130.072i | −0.264498 | + | 0.420946i | ||||
\(310\) | −7.13650 | − | 3.43676i | −0.0230210 | − | 0.0110863i | ||||
\(311\) | −7.89034 | − | 22.5493i | −0.0253709 | − | 0.0725058i | 0.930501 | − | 0.366288i | \(-0.119372\pi\) |
−0.955872 | + | 0.293782i | \(0.905086\pi\) | |||||||
\(312\) | −278.910 | − | 63.6593i | −0.893941 | − | 0.204036i | ||||
\(313\) | 256.380 | + | 321.491i | 0.819107 | + | 1.02713i | 0.999056 | + | 0.0434514i | \(0.0138354\pi\) |
−0.179949 | + | 0.983676i | \(0.557593\pi\) | |||||||
\(314\) | 418.514 | − | 524.800i | 1.33285 | − | 1.67134i | ||||
\(315\) | 64.8276 | + | 284.028i | 0.205802 | + | 0.901678i | ||||
\(316\) | 103.763 | + | 165.138i | 0.328365 | + | 0.522590i | ||||
\(317\) | −53.9274 | − | 478.619i | −0.170118 | − | 1.50984i | −0.731248 | − | 0.682111i | \(-0.761062\pi\) |
0.561131 | − | 0.827727i | \(-0.310367\pi\) | |||||||
\(318\) | − | 455.405i | − | 1.43209i | ||||||
\(319\) | 19.0558 | − | 10.0219i | 0.0597361 | − | 0.0314165i | ||||
\(320\) | −76.8630 | −0.240197 | ||||||||
\(321\) | −170.250 | + | 19.1825i | −0.530373 | + | 0.0597587i | ||||
\(322\) | 555.134 | − | 348.814i | 1.72402 | − | 1.08327i | ||||
\(323\) | 360.821 | − | 82.3550i | 1.11709 | − | 0.254969i | ||||
\(324\) | 132.268 | + | 105.480i | 0.408233 | + | 0.325555i | ||||
\(325\) | −121.928 | + | 97.2347i | −0.375164 | + | 0.299184i | ||||
\(326\) | −203.126 | + | 889.953i | −0.623086 | + | 2.72992i | ||||
\(327\) | 244.213 | − | 85.4540i | 0.746830 | − | 0.261327i | ||||
\(328\) | −298.801 | + | 620.467i | −0.910980 | + | 1.89167i | ||||
\(329\) | −35.0748 | − | 22.0389i | −0.106610 | − | 0.0669877i | ||||
\(330\) | 35.4669 | + | 12.4104i | 0.107476 | + | 0.0376073i | ||||
\(331\) | −253.593 | + | 253.593i | −0.766142 | + | 0.766142i | −0.977425 | − | 0.211283i | \(-0.932236\pi\) |
0.211283 | + | 0.977425i | \(0.432236\pi\) | |||||||
\(332\) | 158.511 | + | 329.152i | 0.477443 | + | 0.991421i | ||||
\(333\) | 8.26315 | − | 73.3375i | 0.0248143 | − | 0.220233i | ||||
\(334\) | 137.104 | + | 15.4479i | 0.410492 | + | 0.0462513i | ||||
\(335\) | 415.742 | − | 200.211i | 1.24102 | − | 0.597644i | ||||
\(336\) | −380.932 | − | 380.932i | −1.13373 | − | 1.13373i | ||||
\(337\) | 7.65449 | − | 21.8753i | 0.0227136 | − | 0.0649118i | −0.931968 | − | 0.362540i | \(-0.881910\pi\) |
0.954682 | + | 0.297628i | \(0.0961955\pi\) | |||||||
\(338\) | −205.580 | + | 327.178i | −0.608223 | + | 0.967982i | ||||
\(339\) | 301.584 | + | 145.235i | 0.889627 | + | 0.428422i | ||||
\(340\) | −483.874 | − | 1382.83i | −1.42316 | − | 4.06716i | ||||
\(341\) | −0.238640 | − | 0.0544680i | −0.000699823 | − | 0.000159730i | ||||
\(342\) | 152.681 | + | 191.457i | 0.446437 | + | 0.559814i | ||||
\(343\) | 43.0726 | − | 54.0114i | 0.125576 | − | 0.157468i | ||||
\(344\) | 23.4345 | + | 102.673i | 0.0681236 | + | 0.298469i | ||||
\(345\) | −144.283 | − | 229.624i | −0.418210 | − | 0.665578i | ||||
\(346\) | 15.4018 | + | 136.695i | 0.0445139 | + | 0.395072i | ||||
\(347\) | − | 307.231i | − | 0.885393i | −0.896672 | − | 0.442696i | \(-0.854022\pi\) | ||
0.896672 | − | 0.442696i | \(-0.145978\pi\) | |||||||
\(348\) | 19.1072 | + | 539.981i | 0.0549058 | + | 1.55167i | ||||
\(349\) | 81.9545 | 0.234827 | 0.117413 | − | 0.993083i | \(-0.462540\pi\) | ||||
0.117413 | + | 0.993083i | \(0.462540\pi\) | |||||||
\(350\) | −676.411 | + | 76.2132i | −1.93260 | + | 0.217752i | ||||
\(351\) | −189.223 | + | 118.897i | −0.539096 | + | 0.338737i | ||||
\(352\) | 19.3707 | − | 4.42124i | 0.0550305 | − | 0.0125603i | ||||
\(353\) | 34.5942 | + | 27.5880i | 0.0980006 | + | 0.0781529i | 0.671264 | − | 0.741218i | \(-0.265752\pi\) |
−0.573264 | + | 0.819371i | \(0.694323\pi\) | |||||||
\(354\) | −538.064 | + | 429.092i | −1.51995 | + | 1.21212i | ||||
\(355\) | 131.184 | − | 574.754i | 0.369532 | − | 1.61902i | ||||
\(356\) | 823.354 | − | 288.104i | 2.31279 | − | 0.809281i | ||||
\(357\) | −215.161 | + | 446.786i | −0.602691 | + | 1.25150i | ||||
\(358\) | −528.164 | − | 331.867i | −1.47532 | − | 0.927004i | ||||
\(359\) | −329.635 | − | 115.344i | −0.918204 | − | 0.321294i | −0.170525 | − | 0.985353i | \(-0.554546\pi\) |
−0.747680 | + | 0.664060i | \(0.768832\pi\) | |||||||
\(360\) | 375.441 | − | 375.441i | 1.04289 | − | 1.04289i | ||||
\(361\) | 59.3020 | + | 123.142i | 0.164271 | + | 0.341113i | ||||
\(362\) | −68.3233 | + | 606.386i | −0.188738 | + | 1.67510i | ||||
\(363\) | −252.146 | − | 28.4100i | −0.694617 | − | 0.0782645i | ||||
\(364\) | 593.756 | − | 285.938i | 1.63120 | − | 0.785543i | ||||
\(365\) | −138.951 | − | 138.951i | −0.380687 | − | 0.380687i | ||||
\(366\) | −18.9582 | + | 54.1794i | −0.0517983 | + | 0.148031i | ||||
\(367\) | 117.163 | − | 186.464i | 0.319246 | − | 0.508076i | −0.648094 | − | 0.761560i | \(-0.724434\pi\) |
0.967340 | + | 0.253484i | \(0.0815765\pi\) | |||||||
\(368\) | −464.458 | − | 223.671i | −1.26211 | − | 0.607802i | ||||
\(369\) | 59.7680 | + | 170.807i | 0.161973 | + | 0.462892i | ||||
\(370\) | 378.908 | + | 86.4833i | 1.02408 | + | 0.233739i | ||||
\(371\) | 358.263 | + | 449.247i | 0.965668 | + | 1.21091i | ||||
\(372\) | 3.82998 | − | 4.80264i | 0.0102956 | − | 0.0129103i | ||||
\(373\) | 58.3911 | + | 255.828i | 0.156545 | + | 0.685867i | 0.990896 | + | 0.134633i | \(0.0429855\pi\) |
−0.834351 | + | 0.551234i | \(0.814157\pi\) | |||||||
\(374\) | −34.9809 | − | 55.6718i | −0.0935318 | − | 0.148855i | ||||
\(375\) | −8.00422 | − | 71.0394i | −0.0213446 | − | 0.189438i | ||||
\(376\) | 75.4955i | 0.200786i | ||||||||
\(377\) | −216.623 | − | 67.3012i | −0.574597 | − | 0.178518i | ||||
\(378\) | −975.416 | −2.58046 | ||||||||
\(379\) | −224.710 | + | 25.3187i | −0.592901 | + | 0.0668039i | −0.403317 | − | 0.915061i | \(-0.632143\pi\) |
−0.189584 | + | 0.981864i | \(0.560714\pi\) | |||||||
\(380\) | −751.879 | + | 472.437i | −1.97863 | + | 1.24326i | ||||
\(381\) | 198.134 | − | 45.2228i | 0.520037 | − | 0.118695i | ||||
\(382\) | 79.7857 | + | 63.6270i | 0.208863 | + | 0.166563i | ||||
\(383\) | 106.140 | − | 84.6436i | 0.277127 | − | 0.221002i | −0.475056 | − | 0.879956i | \(-0.657572\pi\) |
0.752183 | + | 0.658954i | \(0.229001\pi\) | |||||||
\(384\) | 69.4439 | − | 304.253i | 0.180843 | − | 0.792327i | ||||
\(385\) | −44.7505 | + | 15.6589i | −0.116235 | + | 0.0406724i | ||||
\(386\) | 461.679 | − | 958.686i | 1.19606 | − | 2.48364i | ||||
\(387\) | 23.4318 | + | 14.7232i | 0.0605472 | + | 0.0380444i | ||||
\(388\) | 1349.63 | + | 472.256i | 3.47843 | + | 1.21715i | ||||
\(389\) | −11.0445 | + | 11.0445i | −0.0283920 | + | 0.0283920i | −0.721160 | − | 0.692768i | \(-0.756391\pi\) |
0.692768 | + | 0.721160i | \(0.256391\pi\) | |||||||
\(390\) | −171.767 | − | 356.677i | −0.440427 | − | 0.914557i | ||||
\(391\) | −53.1305 | + | 471.546i | −0.135884 | + | 1.20600i | ||||
\(392\) | 720.251 | + | 81.1528i | 1.83737 | + | 0.207022i | ||||
\(393\) | 144.504 | − | 69.5895i | 0.367695 | − | 0.177072i | ||||
\(394\) | −618.237 | − | 618.237i | −1.56913 | − | 1.56913i | ||||
\(395\) | −48.8235 | + | 139.530i | −0.123604 | + | 0.353240i | ||||
\(396\) | 15.9376 | − | 25.3645i | 0.0402464 | − | 0.0640518i | ||||
\(397\) | −258.406 | − | 124.442i | −0.650896 | − | 0.313455i | 0.0791405 | − | 0.996863i | \(-0.474782\pi\) |
−0.730036 | + | 0.683409i | \(0.760497\pi\) | |||||||
\(398\) | 375.378 | + | 1072.77i | 0.943160 | + | 2.69540i | ||||
\(399\) | 293.033 | + | 66.8829i | 0.734419 | + | 0.167626i | ||||
\(400\) | 333.703 | + | 418.451i | 0.834258 | + | 1.04613i | ||||
\(401\) | 94.6371 | − | 118.671i | 0.236003 | − | 0.295938i | −0.649700 | − | 0.760191i | \(-0.725106\pi\) |
0.885703 | + | 0.464253i | \(0.153677\pi\) | |||||||
\(402\) | 115.644 | + | 506.669i | 0.287671 | + | 1.26037i | ||||
\(403\) | 1.37204 | + | 2.18360i | 0.00340458 | + | 0.00541835i | ||||
\(404\) | −8.23305 | − | 73.0703i | −0.0203788 | − | 0.180867i | ||||
\(405\) | 128.228i | 0.316612i | ||||||||
\(406\) | −644.295 | − | 751.765i | −1.58693 | − | 1.85164i | ||||
\(407\) | 12.0104 | 0.0295095 | ||||||||
\(408\) | 898.086 | − | 101.190i | 2.20119 | − | 0.248015i | ||||
\(409\) | −138.561 | + | 87.0640i | −0.338781 | + | 0.212870i | −0.690668 | − | 0.723172i | \(-0.742683\pi\) |
0.351886 | + | 0.936043i | \(0.385540\pi\) | |||||||
\(410\) | −929.086 | + | 212.058i | −2.26606 | + | 0.517214i | ||||
\(411\) | −251.560 | − | 200.613i | −0.612069 | − | 0.488109i | ||||
\(412\) | −504.233 | + | 402.112i | −1.22387 | + | 0.976000i | ||||
\(413\) | 193.226 | − | 846.580i | 0.467860 | − | 2.04983i | ||||
\(414\) | −296.360 | + | 103.701i | −0.715846 | + | 0.250486i | ||||
\(415\) | −120.144 | + | 249.481i | −0.289503 | + | 0.601160i | ||||
\(416\) | −177.246 | − | 111.371i | −0.426071 | − | 0.267718i | ||||
\(417\) | −268.751 | − | 94.0401i | −0.644487 | − | 0.225516i | ||||
\(418\) | −28.1795 | + | 28.1795i | −0.0674150 | + | 0.0674150i | ||||
\(419\) | −14.3641 | − | 29.8274i | −0.0342819 | − | 0.0711870i | 0.883125 | − | 0.469139i | \(-0.155436\pi\) |
−0.917406 | + | 0.397952i | \(0.869721\pi\) | |||||||
\(420\) | 133.216 | − | 1182.33i | 0.317181 | − | 2.81506i | ||||
\(421\) | −442.876 | − | 49.9001i | −1.05196 | − | 0.118528i | −0.430986 | − | 0.902358i | \(-0.641834\pi\) |
−0.620974 | + | 0.783831i | \(0.713263\pi\) | |||||||
\(422\) | −1208.88 | + | 582.167i | −2.86465 | + | 1.37954i | ||||
\(423\) | 14.0276 | + | 14.0276i | 0.0331622 | + | 0.0331622i | ||||
\(424\) | 345.877 | − | 988.459i | 0.815747 | − | 2.33127i | ||||
\(425\) | 262.117 | − | 417.157i | 0.616747 | − | 0.981547i | ||||
\(426\) | 598.215 | + | 288.085i | 1.40426 | + | 0.676256i | ||||
\(427\) | −23.9206 | − | 68.3611i | −0.0560201 | − | 0.160096i | ||||
\(428\) | −701.251 | − | 160.056i | −1.63844 | − | 0.373962i | ||||
\(429\) | −7.62763 | − | 9.56474i | −0.0177800 | − | 0.0222954i | ||||
\(430\) | −90.8633 | + | 113.939i | −0.211310 | + | 0.264974i | ||||
\(431\) | 56.6584 | + | 248.237i | 0.131458 | + | 0.575955i | 0.997154 | + | 0.0753857i | \(0.0240188\pi\) |
−0.865696 | + | 0.500569i | \(0.833124\pi\) | |||||||
\(432\) | 408.046 | + | 649.401i | 0.944550 | + | 1.50324i | ||||
\(433\) | 41.5408 | + | 368.685i | 0.0959371 | + | 0.851465i | 0.945864 | + | 0.324564i | \(0.105218\pi\) |
−0.849927 | + | 0.526901i | \(0.823354\pi\) | |||||||
\(434\) | 11.2561i | 0.0259358i | ||||||||
\(435\) | −310.958 | + | 266.505i | −0.714847 | + | 0.612654i | ||||
\(436\) | 1086.24 | 2.49138 | ||||||||
\(437\) | 285.811 | − | 32.2032i | 0.654030 | − | 0.0736915i | ||||
\(438\) | 187.394 | − | 117.747i | 0.427840 | − | 0.268830i | ||||
\(439\) | 472.512 | − | 107.848i | 1.07634 | − | 0.245667i | 0.352622 | − | 0.935766i | \(-0.385290\pi\) |
0.723715 | + | 0.690099i | \(0.242433\pi\) | |||||||
\(440\) | 67.5556 | + | 53.8738i | 0.153535 | + | 0.122440i | ||||
\(441\) | 148.907 | − | 118.749i | 0.337657 | − | 0.269273i | ||||
\(442\) | −154.143 | + | 675.345i | −0.348740 | + | 1.52793i | ||||
\(443\) | −133.331 | + | 46.6547i | −0.300974 | + | 0.105315i | −0.476541 | − | 0.879152i | \(-0.658110\pi\) |
0.175567 | + | 0.984467i | \(0.443824\pi\) | |||||||
\(444\) | −130.775 | + | 271.558i | −0.294539 | + | 0.611617i | ||||
\(445\) | 559.825 | + | 351.761i | 1.25803 | + | 0.790475i | ||||
\(446\) | 936.503 | + | 327.696i | 2.09978 | + | 0.734745i | ||||
\(447\) | 88.7613 | − | 88.7613i | 0.198571 | − | 0.198571i | ||||
\(448\) | 47.3918 | + | 98.4102i | 0.105785 | + | 0.219666i | ||||
\(449\) | 55.2993 | − | 490.795i | 0.123161 | − | 1.09309i | −0.768332 | − | 0.640051i | \(-0.778913\pi\) |
0.891493 | − | 0.453034i | \(-0.149658\pi\) | |||||||
\(450\) | 323.934 | + | 36.4986i | 0.719854 | + | 0.0811080i | ||||
\(451\) | −26.5331 | + | 12.7777i | −0.0588317 | + | 0.0283319i | ||||
\(452\) | 993.706 | + | 993.706i | 2.19847 | + | 2.19847i | ||||
\(453\) | −180.722 | + | 516.473i | −0.398944 | + | 1.14012i | ||||
\(454\) | 500.957 | − | 797.269i | 1.10343 | − | 1.75610i | ||||
\(455\) | 450.039 | + | 216.727i | 0.989096 | + | 0.476324i | ||||
\(456\) | −180.923 | − | 517.047i | −0.396760 | − | 1.13388i | ||||
\(457\) | 890.248 | + | 203.193i | 1.94803 | + | 0.444624i | 0.983653 | + | 0.180077i | \(0.0576347\pi\) |
0.964373 | + | 0.264547i | \(0.0852225\pi\) | |||||||
\(458\) | −689.187 | − | 864.213i | −1.50478 | − | 1.88693i | ||||
\(459\) | 440.177 | − | 551.964i | 0.958991 | − | 1.20254i | ||||
\(460\) | −253.351 | − | 1110.00i | −0.550762 | − | 2.41305i | ||||
\(461\) | −70.6093 | − | 112.374i | −0.153166 | − | 0.243762i | 0.761323 | − | 0.648372i | \(-0.224550\pi\) |
−0.914489 | + | 0.404611i | \(0.867407\pi\) | |||||||
\(462\) | −5.97859 | − | 53.0614i | −0.0129407 | − | 0.114852i | ||||
\(463\) | 36.6184i | 0.0790895i | 0.999218 | + | 0.0395447i | \(0.0125908\pi\) | ||||
−0.999218 | + | 0.0395447i | \(0.987409\pi\) | |||||||
\(464\) | −230.973 | + | 743.437i | −0.497788 | + | 1.60223i | ||||
\(465\) | 4.65596 | 0.0100128 | ||||||||
\(466\) | −329.109 | + | 37.0817i | −0.706243 | + | 0.0795745i | ||||
\(467\) | 125.291 | − | 78.7258i | 0.268290 | − | 0.168578i | −0.391168 | − | 0.920319i | \(-0.627929\pi\) |
0.659458 | + | 0.751742i | \(0.270786\pi\) | |||||||
\(468\) | −307.693 | + | 70.2288i | −0.657463 | + | 0.150062i | ||||
\(469\) | −512.672 | − | 408.843i | −1.09312 | − | 0.871733i | ||||
\(470\) | −81.6786 | + | 65.1365i | −0.173784 | + | 0.138588i | ||||
\(471\) | −87.7980 | + | 384.668i | −0.186408 | + | 0.816706i | ||||
\(472\) | −1493.76 | + | 522.690i | −3.16475 | + | 1.10739i | ||||
\(473\) | −1.95401 | + | 4.05755i | −0.00413111 | + | 0.00857833i | ||||
\(474\) | −140.971 | − | 88.5777i | −0.297406 | − | 0.186873i | ||||
\(475\) | −281.858 | − | 98.6265i | −0.593386 | − | 0.207635i | ||||
\(476\) | −1472.14 | + | 1472.14i | −3.09273 | + | 3.09273i | ||||
\(477\) | −119.397 | − | 247.930i | −0.250307 | − | 0.519768i | ||||
\(478\) | 165.284 | − | 1466.93i | 0.345782 | − | 3.06890i | ||||
\(479\) | −541.118 | − | 60.9693i | −1.12968 | − | 0.127285i | −0.472723 | − | 0.881211i | \(-0.656729\pi\) |
−0.656959 | + | 0.753926i | \(0.728158\pi\) | |||||||
\(480\) | −340.504 | + | 163.978i | −0.709382 | + | 0.341621i | ||||
\(481\) | −89.4749 | − | 89.4749i | −0.186019 | − | 0.186019i | ||||
\(482\) | 146.940 | − | 419.930i | 0.304855 | − | 0.871225i | ||||
\(483\) | −205.034 | + | 326.310i | −0.424502 | + | 0.675591i | ||||
\(484\) | −959.789 | − | 462.210i | −1.98304 | − | 0.954980i | ||||
\(485\) | 357.948 | + | 1022.96i | 0.738036 | + | 2.10919i | ||||
\(486\) | 757.637 | + | 172.926i | 1.55892 | + | 0.355814i | ||||
\(487\) | −143.770 | − | 180.282i | −0.295216 | − | 0.370190i | 0.611997 | − | 0.790860i | \(-0.290366\pi\) |
−0.907214 | + | 0.420670i | \(0.861795\pi\) | |||||||
\(488\) | −82.2977 | + | 103.198i | −0.168643 | + | 0.211471i | ||||
\(489\) | −119.398 | − | 523.119i | −0.244169 | − | 1.06977i | ||||
\(490\) | 533.624 | + | 849.257i | 1.08903 | + | 1.73318i | ||||
\(491\) | 55.3414 | + | 491.168i | 0.112712 | + | 1.00034i | 0.915013 | + | 0.403424i | \(0.132180\pi\) |
−0.802302 | + | 0.596919i | \(0.796392\pi\) | |||||||
\(492\) | − | 739.052i | − | 1.50214i | ||||||
\(493\) | 716.157 | − | 25.3412i | 1.45265 | − | 0.0514020i | ||||
\(494\) | 419.863 | 0.849926 | ||||||||
\(495\) | 22.5625 | − | 2.54218i | 0.0455808 | − | 0.00513572i | ||||
\(496\) | 7.49397 | − | 4.70877i | 0.0151088 | − | 0.00949349i | ||||
\(497\) | −816.761 | + | 186.420i | −1.64338 | + | 0.375091i | ||||
\(498\) | −243.826 | − | 194.445i | −0.489610 | − | 0.390451i | ||||
\(499\) | 116.986 | − | 93.2931i | 0.234441 | − | 0.186960i | −0.499222 | − | 0.866474i | \(-0.666381\pi\) |
0.733663 | + | 0.679514i | \(0.237809\pi\) | |||||||
\(500\) | 66.7859 | − | 292.608i | 0.133572 | − | 0.585216i | ||||
\(501\) | −76.5494 | + | 26.7858i | −0.152793 | + | 0.0534647i | ||||
\(502\) | −52.1212 | + | 108.231i | −0.103827 | + | 0.215599i | ||||
\(503\) | −579.852 | − | 364.345i | −1.15279 | − | 0.724344i | −0.186664 | − | 0.982424i | \(-0.559767\pi\) |
−0.966124 | + | 0.258080i | \(0.916910\pi\) | |||||||
\(504\) | −712.178 | − | 249.202i | −1.41305 | − | 0.494448i | ||||
\(505\) | 39.4101 | − | 39.4101i | 0.0780398 | − | 0.0780398i | ||||
\(506\) | −22.1700 | − | 46.0365i | −0.0438143 | − | 0.0909813i | ||||
\(507\) | 25.4305 | − | 225.702i | 0.0501589 | − | 0.445172i | ||||
\(508\) | 847.857 | + | 95.5305i | 1.66901 | + | 0.188052i | ||||
\(509\) | −285.063 | + | 137.279i | −0.560046 | + | 0.269704i | −0.692419 | − | 0.721496i | \(-0.743455\pi\) |
0.132372 | + | 0.991200i | \(0.457741\pi\) | |||||||
\(510\) | 884.335 | + | 884.335i | 1.73399 | + | 1.73399i | ||||
\(511\) | −92.2295 | + | 263.577i | −0.180488 | + | 0.515806i | ||||
\(512\) | 609.618 | − | 970.201i | 1.19066 | − | 1.89492i | ||||
\(513\) | −385.534 | − | 185.663i | −0.751527 | − | 0.361917i | ||||
\(514\) | 319.898 | + | 914.215i | 0.622369 | + | 1.77863i | ||||
\(515\) | −476.576 | − | 108.775i | −0.925390 | − | 0.211214i | ||||
\(516\) | −70.4661 | − | 88.3617i | −0.136562 | − | 0.171244i | ||||
\(517\) | −2.01289 | + | 2.52408i | −0.00389340 | + | 0.00488217i | ||||
\(518\) | −122.898 | − | 538.452i | −0.237255 | − | 1.03948i | ||||
\(519\) | −43.0193 | − | 68.4647i | −0.0828887 | − | 0.131917i | ||||
\(520\) | −101.927 | − | 904.625i | −0.196013 | − | 1.73966i | ||||
\(521\) | 561.548i | 1.07783i | 0.842361 | + | 0.538914i | \(0.181165\pi\) | ||||
−0.842361 | + | 0.538914i | \(0.818835\pi\) | |||||||
\(522\) | 220.705 | + | 419.655i | 0.422807 | + | 0.803936i | ||||
\(523\) | −649.609 | −1.24208 | −0.621041 | − | 0.783778i | \(-0.713290\pi\) | ||||
−0.621041 | + | 0.783778i | \(0.713290\pi\) | |||||||
\(524\) | 669.123 | − | 75.3920i | 1.27695 | − | 0.143878i | ||||
\(525\) | 338.786 | − | 212.873i | 0.645306 | − | 0.405473i | ||||
\(526\) | −624.509 | + | 142.540i | −1.18728 | + | 0.270989i | ||||
\(527\) | −6.36957 | − | 5.07956i | −0.0120865 | − | 0.00963863i | ||||
\(528\) | −32.8256 | + | 26.1775i | −0.0621697 | + | 0.0495787i | ||||
\(529\) | 35.6531 | − | 156.206i | 0.0673971 | − | 0.295286i | ||||
\(530\) | 1367.83 | − | 478.625i | 2.58082 | − | 0.903066i | ||||
\(531\) | −180.433 | + | 374.672i | −0.339798 | + | 0.705597i | ||||
\(532\) | 1068.47 | + | 671.362i | 2.00840 | + | 1.26196i | ||||
\(533\) | 292.858 | + | 102.475i | 0.549452 | + | 0.192261i | ||||
\(534\) | −526.543 | + | 526.543i | −0.986036 | + | 0.986036i | ||||
\(535\) | −236.546 | − | 491.193i | −0.442143 | − | 0.918119i | ||||
\(536\) | −133.806 | + | 1187.56i | −0.249638 | + | 2.21560i | ||||
\(537\) | 364.352 | + | 41.0526i | 0.678495 | + | 0.0764480i | ||||
\(538\) | 1262.54 | − | 608.006i | 2.34672 | − | 1.13012i | ||||
\(539\) | 21.9168 | + | 21.9168i | 0.0406620 | + | 0.0406620i | ||||
\(540\) | −559.456 | + | 1598.83i | −1.03603 | + | 2.96080i | ||||
\(541\) | 412.119 | − | 655.884i | 0.761774 | − | 1.21236i | −0.210290 | − | 0.977639i | \(-0.567441\pi\) |
0.972064 | − | 0.234717i | \(-0.0754162\pi\) | |||||||
\(542\) | −109.342 | − | 52.6563i | −0.201738 | − | 0.0971519i | ||||
\(543\) | −118.468 | − | 338.563i | −0.218174 | − | 0.623505i | ||||
\(544\) | 644.722 | + | 147.153i | 1.18515 | + | 0.270503i | ||||
\(545\) | 513.331 | + | 643.697i | 0.941892 | + | 1.18109i | ||||
\(546\) | −350.758 | + | 439.837i | −0.642414 | + | 0.805562i | ||||
\(547\) | −116.423 | − | 510.082i | −0.212839 | − | 0.932508i | −0.962627 | − | 0.270830i | \(-0.912702\pi\) |
0.749788 | − | 0.661678i | \(-0.230155\pi\) | |||||||
\(548\) | −718.691 | − | 1143.79i | −1.31148 | − | 2.08721i | ||||
\(549\) | 3.88344 | + | 34.4665i | 0.00707367 | + | 0.0627805i | ||||
\(550\) | 53.0502i | 0.0964549i | ||||||||
\(551\) | −111.565 | − | 419.772i | −0.202477 | − | 0.761837i | ||||
\(552\) | 702.356 | 1.27238 | ||||||||
\(553\) | 208.748 | − | 23.5202i | 0.377482 | − | 0.0425320i | ||||
\(554\) | 359.635 | − | 225.973i | 0.649160 | − | 0.407894i | ||||
\(555\) | −222.724 | + | 50.8353i | −0.401305 | + | 0.0915952i | ||||
\(556\) | −934.588 | − | 745.309i | −1.68091 | − | 1.34048i | ||||
\(557\) | −133.141 | + | 106.177i | −0.239033 | + | 0.190622i | −0.735678 | − | 0.677331i | \(-0.763136\pi\) |
0.496645 | + | 0.867954i | \(0.334565\pi\) | |||||||
\(558\) | 1.19952 | − | 5.25542i | 0.00214967 | − | 0.00941831i | ||||
\(559\) | 44.7850 | − | 15.6709i | 0.0801163 | − | 0.0280339i | ||||
\(560\) | 743.794 | − | 1544.50i | 1.32820 | − | 2.75804i | ||||
\(561\) | 32.7242 | + | 20.5619i | 0.0583318 | + | 0.0366523i | ||||
\(562\) | −967.402 | − | 338.509i | −1.72136 | − | 0.602329i | ||||
\(563\) | −622.112 | + | 622.112i | −1.10499 | + | 1.10499i | −0.111195 | + | 0.993799i | \(0.535468\pi\) |
−0.993799 | + | 0.111195i | \(0.964532\pi\) | |||||||
\(564\) | −35.1528 | − | 72.9956i | −0.0623277 | − | 0.129425i | ||||
\(565\) | −119.260 | + | 1058.46i | −0.211080 | + | 1.87339i | ||||
\(566\) | 808.759 | + | 91.1252i | 1.42890 | + | 0.160999i | ||||
\(567\) | 164.174 | − | 79.0622i | 0.289549 | − | 0.139439i | ||||
\(568\) | 1079.63 | + | 1079.63i | 1.90076 | + | 1.90076i | ||||
\(569\) | 62.1379 | − | 177.580i | 0.109205 | − | 0.312091i | −0.876292 | − | 0.481780i | \(-0.839990\pi\) |
0.985498 | + | 0.169689i | \(0.0542762\pi\) | |||||||
\(570\) | 403.296 | − | 641.842i | 0.707537 | − | 1.12604i | ||||
\(571\) | 485.208 | + | 233.664i | 0.849751 | + | 0.409218i | 0.807485 | − | 0.589888i | \(-0.200828\pi\) |
0.0422657 | + | 0.999106i | \(0.486542\pi\) | |||||||
\(572\) | −16.9635 | − | 48.4790i | −0.0296565 | − | 0.0847535i | ||||
\(573\) | −58.4814 | − | 13.3480i | −0.102062 | − | 0.0232949i | ||||
\(574\) | 844.356 | + | 1058.79i | 1.47100 | + | 1.84458i | ||||
\(575\) | 238.719 | − | 299.344i | 0.415163 | − | 0.520599i | ||||
\(576\) | −11.6398 | − | 50.9975i | −0.0202081 | − | 0.0885374i | ||||
\(577\) | −276.433 | − | 439.941i | −0.479087 | − | 0.762462i | 0.516502 | − | 0.856286i | \(-0.327234\pi\) |
−0.995589 | + | 0.0938238i | \(0.970091\pi\) | |||||||
\(578\) | −129.052 | − | 1145.37i | −0.223274 | − | 1.98161i | ||||
\(579\) | 625.460i | 1.08024i | ||||||||
\(580\) | −1601.78 | + | 624.904i | −2.76169 | + | 1.07742i | ||||
\(581\) | 393.497 | 0.677276 | ||||||||
\(582\) | −1212.93 | + | 136.665i | −2.08408 | + | 0.234819i | ||||
\(583\) | 37.9185 | − | 23.8258i | 0.0650403 | − | 0.0408675i | ||||
\(584\) | 496.168 | − | 113.247i | 0.849603 | − | 0.193916i | ||||
\(585\) | −187.025 | − | 149.147i | −0.319701 | − | 0.254953i | ||||
\(586\) | 530.267 | − | 422.874i | 0.904893 | − | 0.721628i | ||||
\(587\) | −235.013 | + | 1029.66i | −0.400363 | + | 1.75411i | 0.225568 | + | 0.974227i | \(0.427576\pi\) |
−0.625931 | + | 0.779878i | \(0.715281\pi\) | |||||||
\(588\) | −734.188 | + | 256.903i | −1.24862 | + | 0.436910i | ||||
\(589\) | −2.14252 | + | 4.44899i | −0.00363755 | + | 0.00755346i | ||||
\(590\) | −1854.30 | − | 1165.13i | −3.14288 | − | 1.97480i | ||||
\(591\) | 485.089 | + | 169.740i | 0.820794 | + | 0.287208i | ||||
\(592\) | −307.072 | + | 307.072i | −0.518703 | + | 0.518703i | ||||
\(593\) | 85.9928 | + | 178.566i | 0.145013 | + | 0.301123i | 0.960806 | − | 0.277221i | \(-0.0894134\pi\) |
−0.815793 | + | 0.578344i | \(0.803699\pi\) | |||||||
\(594\) | −8.51152 | + | 75.5418i | −0.0143292 | + | 0.127175i | ||||
\(595\) | −1568.08 | − | 176.680i | −2.63542 | − | 0.296941i | ||||
\(596\) | 474.814 | − | 228.658i | 0.796667 | − | 0.383655i | ||||
\(597\) | −472.396 | − | 472.396i | −0.791282 | − | 0.791282i | ||||
\(598\) | −177.801 | + | 508.126i | −0.297326 | + | 0.849708i | ||||
\(599\) | −154.573 | + | 246.002i | −0.258052 | + | 0.410687i | −0.950473 | − | 0.310806i | \(-0.899401\pi\) |
0.692421 | + | 0.721493i | \(0.256544\pi\) | |||||||
\(600\) | −656.993 | − | 316.391i | −1.09499 | − | 0.527319i | ||||
\(601\) | −168.543 | − | 481.670i | −0.280438 | − | 0.801447i | −0.994816 | − | 0.101687i | \(-0.967576\pi\) |
0.714378 | − | 0.699760i | \(-0.246710\pi\) | |||||||
\(602\) | 201.904 | + | 46.0833i | 0.335389 | + | 0.0765503i | ||||
\(603\) | 195.795 | + | 245.520i | 0.324702 | + | 0.407163i | ||||
\(604\) | −1432.30 | + | 1796.05i | −2.37136 | + | 2.97359i | ||||
\(605\) | −179.671 | − | 787.192i | −0.296978 | − | 1.30114i | ||||
\(606\) | 33.3963 | + | 53.1499i | 0.0551094 | + | 0.0877062i | ||||
\(607\) | 2.33822 | + | 20.7523i | 0.00385209 | + | 0.0341883i | 0.995491 | − | 0.0948538i | \(-0.0302384\pi\) |
−0.991639 | + | 0.129042i | \(0.958810\pi\) | |||||||
\(608\) | − | 400.825i | − | 0.659251i | ||||||
\(609\) | 532.944 | + | 233.810i | 0.875114 | + | 0.383924i | ||||
\(610\) | −182.656 | −0.299435 | ||||||||
\(611\) | 33.7995 | − | 3.80829i | 0.0553184 | − | 0.00623289i | ||||
\(612\) | 844.214 | − | 530.455i | 1.37944 | − | 0.866756i | ||||
\(613\) | −480.301 | + | 109.626i | −0.783525 | + | 0.178835i | −0.595527 | − | 0.803335i | \(-0.703057\pi\) |
−0.187998 | + | 0.982169i | \(0.560200\pi\) | |||||||
\(614\) | 1140.31 | + | 909.367i | 1.85718 | + | 1.48105i | ||||
\(615\) | 437.955 | − | 349.258i | 0.712123 | − | 0.567899i | ||||
\(616\) | 27.3232 | − | 119.711i | 0.0443559 | − | 0.194336i | ||||
\(617\) | 814.785 | − | 285.105i | 1.32056 | − | 0.462083i | 0.424262 | − | 0.905539i | \(-0.360533\pi\) |
0.896296 | + | 0.443456i | \(0.146248\pi\) | |||||||
\(618\) | 238.875 | − | 496.030i | 0.386530 | − | 0.802637i | ||||
\(619\) | −111.989 | − | 70.3677i | −0.180920 | − | 0.113680i | 0.438527 | − | 0.898718i | \(-0.355500\pi\) |
−0.619447 | + | 0.785038i | \(0.712643\pi\) | |||||||
\(620\) | 18.4502 | + | 6.45602i | 0.0297585 | + | 0.0104129i | ||||
\(621\) | 387.956 | − | 387.956i | 0.624728 | − | 0.624728i | ||||
\(622\) | 37.1487 | + | 77.1400i | 0.0597245 | + | 0.124019i | ||||
\(623\) | 105.197 | − | 933.650i | 0.168856 | − | 1.49864i | ||||
\(624\) | 439.562 | + | 49.5268i | 0.704427 | + | 0.0793698i | ||||
\(625\) | 654.040 | − | 314.969i | 1.04646 | − | 0.503951i | ||||
\(626\) | −1042.07 | − | 1042.07i | −1.66464 | − | 1.66464i | ||||
\(627\) | 7.73681 | − | 22.1105i | 0.0123394 | − | 0.0352640i | ||||
\(628\) | −881.306 | + | 1402.59i | −1.40335 | + | 2.23342i | ||||
\(629\) | 360.157 | + | 173.443i | 0.572587 | + | 0.275744i | ||||
\(630\) | −344.846 | − | 985.514i | −0.547375 | − | 1.56431i | ||||
\(631\) | 901.413 | + | 205.742i | 1.42855 | + | 0.326056i | 0.865724 | − | 0.500522i | \(-0.166858\pi\) |
0.562822 | + | 0.826578i | \(0.309716\pi\) | |||||||
\(632\) | −238.703 | − | 299.324i | −0.377695 | − | 0.473615i | ||||
\(633\) | 491.741 | − | 616.624i | 0.776843 | − | 0.974130i | ||||
\(634\) | 384.110 | + | 1682.89i | 0.605851 | + | 2.65441i | ||||
\(635\) | 344.066 | + | 547.578i | 0.541836 | + | 0.862327i | ||||
\(636\) | 125.831 | + | 1116.78i | 0.197847 | + | 1.75594i | ||||
\(637\) | − | 326.552i | − | 0.512640i | ||||||
\(638\) | −63.8431 | + | 43.3380i | −0.100068 | + | 0.0679278i | ||||
\(639\) | 401.207 | 0.627867 | ||||||||
\(640\) | 986.826 | − | 111.189i | 1.54192 | − | 0.173732i | ||||
\(641\) | −836.101 | + | 525.357i | −1.30437 | + | 0.819590i | −0.991488 | − | 0.130202i | \(-0.958438\pi\) |
−0.312883 | + | 0.949792i | \(0.601295\pi\) | |||||||
\(642\) | 598.623 | − | 136.632i | 0.932435 | − | 0.212822i | ||||
\(643\) | 597.523 | + | 476.509i | 0.929274 | + | 0.741071i | 0.966078 | − | 0.258251i | \(-0.0831463\pi\) |
−0.0368040 | + | 0.999323i | \(0.511718\pi\) | |||||||
\(644\) | −1264.96 | + | 1008.77i | −1.96423 | + | 1.56642i | ||||
\(645\) | 19.0618 | − | 83.5151i | 0.0295532 | − | 0.129481i | ||||
\(646\) | −1251.97 | + | 438.082i | −1.93803 | + | 0.678145i | ||||
\(647\) | −530.613 | + | 1101.83i | −0.820112 | + | 1.70298i | −0.115593 | + | 0.993297i | \(0.536877\pi\) |
−0.704520 | + | 0.709684i | \(0.748838\pi\) | |||||||
\(648\) | −281.193 | − | 176.686i | −0.433941 | − | 0.272663i | ||||
\(649\) | −63.8779 | − | 22.3518i | −0.0984251 | − | 0.0344404i | ||||
\(650\) | 395.214 | − | 395.214i | 0.608021 | − | 0.608021i | ||||
\(651\) | −2.87075 | − | 5.96117i | −0.00440975 | − | 0.00915695i | ||||
\(652\) | 252.222 | − | 2238.53i | 0.386844 | − | 3.43333i | ||||
\(653\) | 1154.35 | + | 130.064i | 1.76777 | + | 0.199179i | 0.935049 | − | 0.354520i | \(-0.115356\pi\) |
0.832717 | + | 0.553699i | \(0.186784\pi\) | |||||||
\(654\) | −835.442 | + | 402.328i | −1.27743 | + | 0.615180i | ||||
\(655\) | 360.888 | + | 360.888i | 0.550974 | + | 0.550974i | ||||
\(656\) | 351.689 | − | 1005.07i | 0.536111 | − | 1.53212i | ||||
\(657\) | 71.1496 | − | 113.234i | 0.108295 | − | 0.172350i | ||||
\(658\) | 133.757 | + | 64.4142i | 0.203279 | + | 0.0978939i | ||||
\(659\) | −103.295 | − | 295.200i | −0.156745 | − | 0.447951i | 0.838552 | − | 0.544821i | \(-0.183403\pi\) |
−0.995297 | + | 0.0968701i | \(0.969117\pi\) | |||||||
\(660\) | −90.4037 | − | 20.6341i | −0.136975 | − | 0.0312637i | ||||
\(661\) | −741.803 | − | 930.192i | −1.12224 | − | 1.40725i | −0.901963 | − | 0.431813i | \(-0.857874\pi\) |
−0.220281 | − | 0.975436i | \(-0.570697\pi\) | |||||||
\(662\) | 801.377 | − | 1004.90i | 1.21054 | − | 1.51797i | ||||
\(663\) | −90.6061 | − | 396.971i | −0.136661 | − | 0.598750i | ||||
\(664\) | −381.546 | − | 607.228i | −0.574618 | − | 0.914499i | ||||
\(665\) | 107.088 | + | 950.433i | 0.161035 | + | 1.42922i | ||||
\(666\) | 264.497i | 0.397143i | ||||||||
\(667\) | 555.260 | + | 42.7445i | 0.832474 | + | 0.0640847i | ||||
\(668\) | −340.486 | −0.509709 | ||||||||
\(669\) | −579.542 | + | 65.2987i | −0.866280 | + | 0.0976064i | ||||
\(670\) | −1400.27 | + | 879.846i | −2.08995 | + | 1.31320i | ||||
\(671\) | −5.50301 | + | 1.25603i | −0.00820120 | + | 0.00187187i | ||||
\(672\) | 419.892 | + | 334.853i | 0.624840 | + | 0.498293i | ||||
\(673\) | −444.801 | + | 354.717i | −0.660922 | + | 0.527068i | −0.895518 | − | 0.445025i | \(-0.853195\pi\) |
0.234596 | + | 0.972093i | \(0.424623\pi\) | |||||||
\(674\) | −18.4825 | + | 80.9772i | −0.0274221 | + | 0.120144i | ||||
\(675\) | −537.663 | + | 188.136i | −0.796537 | + | 0.278720i | ||||
\(676\) | 413.736 | − | 859.133i | 0.612036 | − | 1.27091i | ||||
\(677\) | 157.955 | + | 99.2497i | 0.233316 | + | 0.146602i | 0.643616 | − | 0.765348i | \(-0.277433\pi\) |
−0.410300 | + | 0.911950i | \(0.634576\pi\) | |||||||
\(678\) | −1132.33 | − | 396.218i | −1.67010 | − | 0.584393i | ||||
\(679\) | 1089.02 | − | 1089.02i | 1.60386 | − | 1.60386i | ||||
\(680\) | 1247.81 | + | 2591.10i | 1.83501 | + | 3.81044i | ||||
\(681\) | −61.9693 | + | 549.992i | −0.0909974 | + | 0.807625i | ||||
\(682\) | 0.871738 | + | 0.0982213i | 0.00127821 | + | 0.000144020i | ||||
\(683\) | 102.817 | − | 49.5142i | 0.150538 | − | 0.0724951i | −0.357098 | − | 0.934067i | \(-0.616234\pi\) |
0.507636 | + | 0.861572i | \(0.330520\pi\) | |||||||
\(684\) | −427.317 | − | 427.317i | −0.624733 | − | 0.624733i | ||||
\(685\) | 338.164 | − | 966.417i | 0.493670 | − | 1.41083i | ||||
\(686\) | −131.724 | + | 209.638i | −0.192018 | + | 0.305594i | ||||
\(687\) | 585.398 | + | 281.913i | 0.852107 | + | 0.410353i | ||||
\(688\) | −53.7817 | − | 153.699i | −0.0781711 | − | 0.223400i | ||||
\(689\) | −459.983 | − | 104.988i | −0.667610 | − | 0.152378i | ||||
\(690\) | 605.983 | + | 759.879i | 0.878237 | + | 1.10127i | ||||
\(691\) | −301.568 | + | 378.155i | −0.436423 | + | 0.547257i | −0.950597 | − | 0.310429i | \(-0.899527\pi\) |
0.514174 | + | 0.857686i | \(0.328099\pi\) | |||||||
\(692\) | −75.5389 | − | 330.958i | −0.109160 | − | 0.478263i | ||||
\(693\) | −17.1663 | − | 27.3200i | −0.0247710 | − | 0.0394229i | ||||
\(694\) | 123.282 | + | 1094.16i | 0.177640 | + | 1.57660i | ||||
\(695\) | − | 906.043i | − | 1.30366i | ||||||
\(696\) | −155.953 | − | 1049.13i | −0.224070 | − | 1.50736i | ||||
\(697\) | −980.177 | −1.40628 | ||||||||
\(698\) | −291.870 | + | 32.8858i | −0.418151 | + | 0.0471143i | ||||
\(699\) | 164.837 | − | 103.574i | 0.235818 | − | 0.148174i | ||||
\(700\) | 1637.69 | − | 373.791i | 2.33955 | − | 0.533988i | ||||
\(701\) | −382.725 | − | 305.213i | −0.545969 | − | 0.435396i | 0.311264 | − | 0.950323i | \(-0.399248\pi\) |
−0.857234 | + | 0.514927i | \(0.827819\pi\) | |||||||
\(702\) | 626.181 | − | 499.363i | 0.891996 | − | 0.711343i | ||||
\(703\) | 53.9148 | − | 236.216i | 0.0766925 | − | 0.336012i | ||||
\(704\) | 8.03499 | − | 2.81157i | 0.0114133 | − | 0.00399370i | ||||
\(705\) | 26.6442 | − | 55.3272i | 0.0377931 | − | 0.0784782i | ||||
\(706\) | −134.273 | − | 84.3691i | −0.190188 | − | 0.119503i | ||||
\(707\) | −74.7573 | − | 26.1587i | −0.105739 | − | 0.0369996i | ||||
\(708\) | 1200.92 | − | 1200.92i | 1.69621 | − | 1.69621i | ||||
\(709\) | 461.431 | + | 958.172i | 0.650820 | + | 1.35144i | 0.921351 | + | 0.388731i | \(0.127086\pi\) |
−0.270531 | + | 0.962711i | \(0.587199\pi\) | |||||||
\(710\) | −236.562 | + | 2099.54i | −0.333186 | + | 2.95711i | ||||
\(711\) | −99.9696 | − | 11.2639i | −0.140604 | − | 0.0158423i | ||||
\(712\) | −1542.77 | + | 742.959i | −2.16681 | + | 1.04348i | ||||
\(713\) | −4.47694 | − | 4.47694i | −0.00627902 | − | 0.00627902i | ||||
\(714\) | 586.983 | − | 1677.50i | 0.822106 | − | 2.34944i | ||||
\(715\) | 20.7117 | − | 32.9624i | 0.0289674 | − | 0.0461013i | ||||
\(716\) | 1386.90 | + | 667.895i | 1.93701 | + | 0.932815i | ||||
\(717\) | 286.592 | + | 819.033i | 0.399710 | + | 1.14231i | ||||
\(718\) | 1220.23 | + | 278.511i | 1.69949 | + | 0.387898i | ||||
\(719\) | −465.243 | − | 583.396i | −0.647069 | − | 0.811399i | 0.344798 | − | 0.938677i | \(-0.387947\pi\) |
−0.991867 | + | 0.127278i | \(0.959376\pi\) | |||||||
\(720\) | −511.865 | + | 641.858i | −0.710923 | + | 0.891469i | ||||
\(721\) | 154.577 | + | 677.244i | 0.214392 | + | 0.939312i | ||||
\(722\) | −260.609 | − | 414.757i | −0.360954 | − | 0.574455i | ||||
\(723\) | 29.2801 | + | 259.868i | 0.0404981 | + | 0.359430i | ||||
\(724\) | − | 1505.90i | − | 2.07998i | ||||||
\(725\) | −500.143 | − | 290.113i | −0.689853 | − | 0.400156i | ||||
\(726\) | 909.382 | 1.25259 | ||||||||
\(727\) | 137.483 | − | 15.4906i | 0.189110 | − | 0.0213076i | −0.0169014 | − | 0.999857i | \(-0.505380\pi\) |
0.206012 | + | 0.978550i | \(0.433952\pi\) | |||||||
\(728\) | −1095.38 | + | 688.270i | −1.50464 | + | 0.945426i | ||||
\(729\) | −613.181 | + | 139.955i | −0.841127 | + | 0.191982i | ||||
\(730\) | 550.610 | + | 439.097i | 0.754260 | + | 0.601502i | ||||
\(731\) | −117.191 | + | 93.4566i | −0.160316 | + | 0.127848i | ||||
\(732\) | 31.5206 | − | 138.101i | 0.0430610 | − | 0.188663i | ||||
\(733\) | −96.2298 | + | 33.6723i | −0.131282 | + | 0.0459376i | −0.395121 | − | 0.918629i | \(-0.629297\pi\) |
0.263838 | + | 0.964567i | \(0.415011\pi\) | |||||||
\(734\) | −342.438 | + | 711.079i | −0.466537 | + | 0.968773i | ||||
\(735\) | −499.198 | − | 313.667i | −0.679181 | − | 0.426758i | ||||
\(736\) | 485.085 | + | 169.738i | 0.659082 | + | 0.230623i | ||||
\(737\) | −36.1367 | + | 36.1367i | −0.0490322 | + | 0.0490322i | ||||
\(738\) | −281.395 | − | 584.322i | −0.381294 | − | 0.791765i | ||||
\(739\) | 77.8075 | − | 690.560i | 0.105288 | − | 0.934452i | −0.824376 | − | 0.566043i | \(-0.808474\pi\) |
0.929663 | − | 0.368410i | \(-0.120098\pi\) | |||||||
\(740\) | −953.082 | − | 107.387i | −1.28795 | − | 0.145117i | ||||
\(741\) | −222.357 | + | 107.082i | −0.300077 | + | 0.144510i | ||||
\(742\) | −1456.17 | − | 1456.17i | −1.96250 | − | 1.96250i | ||||
\(743\) | −213.456 | + | 610.021i | −0.287289 | + | 0.821024i | 0.706294 | + | 0.707918i | \(0.250366\pi\) |
−0.993583 | + | 0.113106i | \(0.963920\pi\) | |||||||
\(744\) | −6.41546 | + | 10.2101i | −0.00862293 | + | 0.0137233i | ||||
\(745\) | 359.886 | + | 173.312i | 0.483069 | + | 0.232634i | ||||
\(746\) | −310.608 | − | 887.666i | −0.416364 | − | 1.18990i | ||||
\(747\) | −183.722 | − | 41.9333i | −0.245946 | − | 0.0561356i | ||||
\(748\) | 101.165 | + | 126.857i | 0.135247 | + | 0.169595i | ||||
\(749\) | −483.042 | + | 605.716i | −0.644916 | + | 0.808700i | ||||
\(750\) | 57.0118 | + | 249.785i | 0.0760157 | + | 0.333047i | ||||
\(751\) | 203.554 | + | 323.954i | 0.271044 | + | 0.431364i | 0.954316 | − | 0.298800i | \(-0.0965865\pi\) |
−0.683272 | + | 0.730164i | \(0.739444\pi\) | |||||||
\(752\) | −13.0698 | − | 115.998i | −0.0173801 | − | 0.154253i | ||||
\(753\) | − | 70.6113i | − | 0.0937734i | ||||||
\(754\) | 798.479 | + | 152.760i | 1.05899 | + | 0.202599i | ||||
\(755\) | −1741.19 | −2.30621 | ||||||||
\(756\) | 2391.99 | − | 269.512i | 3.16400 | − | 0.356497i | ||||
\(757\) | −572.593 | + | 359.784i | −0.756397 | + | 0.475276i | −0.854210 | − | 0.519929i | \(-0.825958\pi\) |
0.0978121 | + | 0.995205i | \(0.468816\pi\) | |||||||
\(758\) | 790.112 | − | 180.338i | 1.04236 | − | 0.237913i | ||||
\(759\) | 23.4822 | + | 18.7264i | 0.0309384 | + | 0.0246725i | ||||
\(760\) | 1362.83 | − | 1086.82i | 1.79320 | − | 1.43003i | ||||
\(761\) | 139.727 | − | 612.184i | 0.183610 | − | 0.804447i | −0.796283 | − | 0.604924i | \(-0.793204\pi\) |
0.979893 | − | 0.199523i | \(-0.0639393\pi\) | |||||||
\(762\) | −687.481 | + | 240.560i | −0.902206 | + | 0.315695i | ||||
\(763\) | 507.639 | − | 1054.12i | 0.665319 | − | 1.38155i | ||||
\(764\) | −213.237 | − | 133.986i | −0.279106 | − | 0.175374i | ||||
\(765\) | 713.298 | + | 249.594i | 0.932416 | + | 0.326266i | ||||
\(766\) | −344.037 | + | 344.037i | −0.449134 | + | 0.449134i | ||||
\(767\) | 309.361 | + | 642.395i | 0.403339 | + | 0.837543i | ||||
\(768\) | −114.409 | + | 1015.41i | −0.148970 | + | 1.32215i | ||||
\(769\) | −322.552 | − | 36.3428i | −0.419443 | − | 0.0472599i | −0.100279 | − | 0.994959i | \(-0.531974\pi\) |
−0.319164 | + | 0.947700i | \(0.603402\pi\) | |||||||
\(770\) | 153.089 | − | 73.7240i | 0.198817 | − | 0.0957454i | ||||
\(771\) | −402.576 | − | 402.576i | −0.522148 | − | 0.522148i | ||||
\(772\) | −867.273 | + | 2478.52i | −1.12341 | + | 3.21052i | ||||
\(773\) | −246.656 | + | 392.551i | −0.319089 | + | 0.507828i | −0.967301 | − | 0.253633i | \(-0.918375\pi\) |
0.648211 | + | 0.761461i | \(0.275517\pi\) | |||||||
\(774\) | −89.3570 | − | 43.0320i | −0.115448 | − | 0.0555970i | ||||
\(775\) | 2.17106 | + | 6.20453i | 0.00280137 | + | 0.00800585i | ||||
\(776\) | −2736.48 | − | 624.583i | −3.52639 | − | 0.804875i | ||||
\(777\) | 202.412 | + | 253.817i | 0.260505 | + | 0.326663i | ||||
\(778\) | 34.9016 | − | 43.7652i | 0.0448606 | − | 0.0562534i | ||||
\(779\) | 132.200 | + | 579.204i | 0.169704 | + | 0.743523i | ||||
\(780\) | 519.770 | + | 827.210i | 0.666372 | + | 1.06053i | ||||
\(781\) | 7.31037 | + | 64.8814i | 0.00936027 | + | 0.0830747i | ||||
\(782\) | − | 1700.67i | − | 2.17476i | ||||||
\(783\) | −665.642 | − | 493.356i | −0.850117 | − | 0.630084i | ||||
\(784\) | −1120.71 | −1.42947 | ||||||||
\(785\) | −1247.65 | + | 140.576i | −1.58936 | + | 0.179078i | ||||
\(786\) | −486.707 | + | 305.818i | −0.619220 | + | 0.389082i | ||||
\(787\) | 1295.68 | − | 295.731i | 1.64636 | − | 0.375770i | 0.703953 | − | 0.710246i | \(-0.251416\pi\) |
0.942404 | + | 0.334476i | \(0.108559\pi\) | |||||||
\(788\) | 1686.91 | + | 1345.26i | 2.14075 | + | 1.70719i | ||||
\(789\) | 294.383 | − | 234.763i | 0.373109 | − | 0.297544i | ||||
\(790\) | 117.889 | − | 516.507i | 0.149227 | − | 0.653806i | ||||
\(791\) | 1428.72 | − | 499.930i | 1.80622 | − | 0.632023i | ||||
\(792\) | −25.5141 | + | 52.9806i | −0.0322148 | + | 0.0668947i | ||||
\(793\) | 50.3535 | + | 31.6392i | 0.0634975 | + | 0.0398981i | ||||
\(794\) | 970.210 | + | 339.491i | 1.22193 | + | 0.427571i | ||||
\(795\) | −602.328 | + | 602.328i | −0.757645 | + | 0.757645i | ||||
\(796\) | −1216.94 | − | 2527.00i | −1.52882 | − | 3.17463i | ||||
\(797\) | −29.7161 | + | 263.738i | −0.0372849 | + | 0.330913i | 0.961198 | + | 0.275858i | \(0.0889620\pi\) |
−0.998483 | + | 0.0550550i | \(0.982467\pi\) | |||||||
\(798\) | −1070.43 | − | 120.609i | −1.34140 | − | 0.151139i | ||||
\(799\) | −96.8113 | + | 46.6219i | −0.121166 | + | 0.0583503i | ||||
\(800\) | −377.293 | − | 377.293i | −0.471616 | − | 0.471616i | ||||
\(801\) | −148.611 | + | 424.706i | −0.185532 | + | 0.530219i | ||||
\(802\) | −289.418 | + | 460.606i | −0.360870 | + | 0.574321i | ||||
\(803\) | 19.6081 | + | 9.44276i | 0.0244185 | + | 0.0117594i | ||||
\(804\) | −423.586 | − | 1210.54i | −0.526848 | − | 1.50565i | ||||
\(805\) | −1195.58 | − | 272.883i | −1.48519 | − | 0.338985i | ||||
\(806\) | −5.76256 | − | 7.22602i | −0.00714957 | − | 0.00896528i | ||||
\(807\) | −513.567 | + | 643.993i | −0.636391 | + | 0.798009i | ||||
\(808\) | 32.1199 | + | 140.727i | 0.0397524 | + | 0.174166i | ||||
\(809\) | −617.736 | − | 983.122i | −0.763580 | − | 1.21523i | −0.971489 | − | 0.237083i | \(-0.923809\pi\) |
0.207909 | − | 0.978148i | \(-0.433334\pi\) | |||||||
\(810\) | −51.4538 | − | 456.665i | −0.0635233 | − | 0.563785i | ||||
\(811\) | − | 321.059i | − | 0.395880i | −0.980214 | − | 0.197940i | \(-0.936575\pi\) | ||
0.980214 | − | 0.197940i | \(-0.0634252\pi\) | |||||||
\(812\) | 1787.70 | + | 1665.51i | 2.20161 | + | 2.05112i | ||||
\(813\) | 71.3363 | 0.0877445 | ||||||||
\(814\) | −42.7732 | + | 4.81939i | −0.0525470 | + | 0.00592062i | ||||
\(815\) | 1445.73 | − | 908.411i | 1.77390 | − | 1.11462i | ||||
\(816\) | −1362.38 | + | 310.954i | −1.66958 | + | 0.381072i | ||||
\(817\) | 71.0311 | + | 56.6454i | 0.0869413 | + | 0.0693334i | ||||
\(818\) | 458.531 | − | 365.667i | 0.560552 | − | 0.447025i | ||||
\(819\) | −75.6433 | + | 331.415i | −0.0923605 | + | 0.404658i | ||||
\(820\) | 2219.78 | − | 776.735i | 2.70705 | − | 0.947238i | ||||
\(821\) | 286.021 | − | 593.929i | 0.348381 | − | 0.723421i | −0.650982 | − | 0.759093i | \(-0.725643\pi\) |
0.999364 | + | 0.0356719i | \(0.0113571\pi\) | |||||||
\(822\) | 976.397 | + | 613.511i | 1.18783 | + | 0.746364i | ||||
\(823\) | −1135.65 | − | 397.380i | −1.37989 | − | 0.482843i | −0.464555 | − | 0.885545i | \(-0.653786\pi\) |
−0.915331 | + | 0.402702i | \(0.868071\pi\) | |||||||
\(824\) | 895.212 | − | 895.212i | 1.08642 | − | 1.08642i | ||||
\(825\) | −13.5299 | − | 28.0951i | −0.0163998 | − | 0.0340546i | ||||
\(826\) | −348.442 | + | 3092.51i | −0.421843 | + | 3.74396i | ||||
\(827\) | 935.574 | + | 105.414i | 1.13129 | + | 0.127465i | 0.657699 | − | 0.753281i | \(-0.271530\pi\) |
0.473588 | + | 0.880747i | \(0.342959\pi\) | |||||||
\(828\) | 698.104 | − | 336.189i | 0.843121 | − | 0.406026i | ||||
\(829\) | 445.070 | + | 445.070i | 0.536876 | + | 0.536876i | 0.922610 | − | 0.385734i | \(-0.126052\pi\) |
−0.385734 | + | 0.922610i | \(0.626052\pi\) | |||||||
\(830\) | 327.767 | − | 936.703i | 0.394900 | − | 1.12856i | ||||
\(831\) | −132.828 | + | 211.395i | −0.159842 | + | 0.254386i | ||||
\(832\) | −80.8048 | − | 38.9135i | −0.0971212 | − | 0.0467711i | ||||
\(833\) | 340.722 | + | 973.726i | 0.409029 | + | 1.16894i | ||||
\(834\) | 994.855 | + | 227.069i | 1.19287 | + | 0.272265i | ||||
\(835\) | −160.905 | − | 201.769i | −0.192701 | − | 0.241639i | ||||
\(836\) | 61.3176 | − | 76.8899i | 0.0733465 | − | 0.0919736i | ||||
\(837\) | 2.09605 | + | 9.18339i | 0.00250424 | + | 0.0109718i | ||||
\(838\) | 63.1245 | + | 100.462i | 0.0753276 | + | 0.119883i | ||||
\(839\) | −112.137 | − | 995.248i | −0.133656 | − | 1.18623i | −0.864122 | − | 0.503282i | \(-0.832126\pi\) |
0.730466 | − | 0.682949i | \(-0.239303\pi\) | |||||||
\(840\) | 2335.61i | 2.78048i | ||||||||
\(841\) | −59.4431 | − | 838.897i | −0.0706814 | − | 0.997499i | ||||
\(842\) | 1597.26 | 1.89699 | ||||||||
\(843\) | 598.663 | − | 67.4532i | 0.710158 | − | 0.0800156i | ||||
\(844\) | 2803.65 | − | 1761.65i | 3.32186 | − | 2.08727i | ||||
\(845\) | 704.636 | − | 160.829i | 0.833889 | − | 0.190330i | ||||
\(846\) | −55.5863 | − | 44.3286i | −0.0657048 | − | 0.0523979i | ||||
\(847\) | −897.087 | + | 715.403i | −1.05913 | + | 0.844631i | ||||
\(848\) | −360.313 | + | 1578.63i | −0.424897 | + | 1.86160i | ||||
\(849\) | −451.554 | + | 158.006i | −0.531866 | + | 0.186108i | ||||
\(850\) | −766.102 | + | 1590.83i | −0.901297 | + | 1.87156i | ||||
\(851\) | 263.041 | + | 165.280i | 0.309097 | + | 0.194218i | ||||
\(852\) | −1546.59 | − | 541.174i | −1.81524 | − | 0.635181i | ||||
\(853\) | −187.887 | + | 187.887i | −0.220266 | + | 0.220266i | −0.808610 | − | 0.588345i | \(-0.799780\pi\) |
0.588345 | + | 0.808610i | \(0.299780\pi\) | |||||||
\(854\) | 112.621 | + | 233.860i | 0.131875 | + | 0.273841i | ||||
\(855\) | 51.2847 | − | 455.164i | 0.0599821 | − | 0.532356i | ||||
\(856\) | 1403.09 | + | 158.090i | 1.63912 | + | 0.184684i | ||||
\(857\) | 391.026 | − | 188.308i | 0.456273 | − | 0.219729i | −0.191608 | − | 0.981472i | \(-0.561370\pi\) |
0.647880 | + | 0.761742i | \(0.275656\pi\) | |||||||
\(858\) | 31.0028 | + | 31.0028i | 0.0361338 | + | 0.0361338i | ||||
\(859\) | −188.502 | + | 538.706i | −0.219443 | + | 0.627132i | 0.780555 | + | 0.625087i | \(0.214937\pi\) |
−0.999998 | + | 0.00204487i | \(0.999349\pi\) | |||||||
\(860\) | 191.340 | − | 304.516i | 0.222488 | − | 0.354088i | ||||
\(861\) | −717.199 | − | 345.385i | −0.832984 | − | 0.401144i | ||||
\(862\) | −301.391 | − | 861.325i | −0.349641 | − | 0.999217i | ||||
\(863\) | 1118.53 | + | 255.297i | 1.29610 | + | 0.295826i | 0.814293 | − | 0.580454i | \(-0.197125\pi\) |
0.481803 | + | 0.876279i | \(0.339982\pi\) | |||||||
\(864\) | −476.719 | − | 597.787i | −0.551758 | − | 0.691883i | ||||
\(865\) | 160.425 | − | 201.166i | 0.185462 | − | 0.232562i | ||||
\(866\) | −295.883 | − | 1296.35i | −0.341667 | − | 1.49694i | ||||
\(867\) | 360.460 | + | 573.668i | 0.415755 | + | 0.661670i | ||||
\(868\) | −3.11012 | − | 27.6031i | −0.00358309 | − | 0.0318008i | ||||
\(869\) | − | 16.3719i | − | 0.0188399i | ||||||
\(870\) | 1000.49 | − | 1073.90i | 1.14999 | − | 1.23436i | ||||
\(871\) | 538.423 | 0.618167 | ||||||||
\(872\) | −2118.90 | + | 238.742i | −2.42993 | + | 0.273787i | ||||
\(873\) | −624.511 | + | 392.406i | −0.715361 | + | 0.449491i | ||||
\(874\) | −1004.95 | + | 229.374i | −1.14983 | + | 0.262442i | ||||
\(875\) | −252.745 | − | 201.557i | −0.288851 | − | 0.230351i | ||||
\(876\) | −427.007 | + | 340.527i | −0.487451 | + | 0.388729i | ||||
\(877\) | −242.063 | + | 1060.55i | −0.276012 | + | 1.20929i | 0.626775 | + | 0.779200i | \(0.284375\pi\) |
−0.902787 | + | 0.430088i | \(0.858483\pi\) | |||||||
\(878\) | −1639.51 | + | 573.689i | −1.86732 | + | 0.653404i | ||||
\(879\) | −172.977 | + | 359.190i | −0.196788 | + | 0.408635i | ||||
\(880\) | −113.125 | − | 71.0811i | −0.128551 | − | 0.0807740i | ||||
\(881\) | −775.831 | − | 271.475i | −0.880625 | − | 0.308144i | −0.148172 | − | 0.988962i | \(-0.547339\pi\) |
−0.732453 | + | 0.680817i | \(0.761625\pi\) | |||||||
\(882\) | −482.660 | + | 482.660i | −0.547234 | + | 0.547234i | ||||
\(883\) | −143.552 | − | 298.089i | −0.162573 | − | 0.337587i | 0.803730 | − | 0.594995i | \(-0.202846\pi\) |
−0.966303 | + | 0.257408i | \(0.917132\pi\) | |||||||
\(884\) | 191.400 | − | 1698.72i | 0.216516 | − | 1.92163i | ||||
\(885\) | 1279.18 | + | 144.129i | 1.44540 | + | 0.162858i | ||||
\(886\) | 456.120 | − | 219.656i | 0.514809 | − | 0.247919i | ||||
\(887\) | 629.240 | + | 629.240i | 0.709402 | + | 0.709402i | 0.966410 | − | 0.257007i | \(-0.0827364\pi\) |
−0.257007 | + | 0.966410i | \(0.582736\pi\) | |||||||
\(888\) | 195.415 | − | 558.463i | 0.220061 | − | 0.628899i | ||||
\(889\) | 488.939 | − | 778.142i | 0.549988 | − | 0.875301i | ||||
\(890\) | −2134.89 | − | 1028.11i | −2.39875 | − | 1.15518i | ||||
\(891\) | −4.69044 | − | 13.4045i | −0.00526424 | − | 0.0150443i | ||||
\(892\) | −2387.10 | − | 544.841i | −2.67613 | − | 0.610808i | ||||
\(893\) | 40.6070 | + | 50.9195i | 0.0454725 | + | 0.0570207i | ||||
\(894\) | −280.494 | + | 351.728i | −0.313751 | + | 0.393432i | ||||
\(895\) | 259.626 | + | 1137.50i | 0.290085 | + | 1.27094i | ||||
\(896\) | −750.811 | − | 1194.91i | −0.837959 | − | 1.33360i | ||||
\(897\) | −35.4296 | − | 314.447i | −0.0394979 | − | 0.350554i | ||||
\(898\) | 1770.09i | 1.97115i | ||||||||
\(899\) | −5.69324 | + | 7.68138i | −0.00633286 | + | 0.00854437i | ||||
\(900\) | −804.460 | −0.893845 | ||||||||
\(901\) | 1481.14 | − | 166.884i | 1.64389 | − | 0.185221i | ||||
\(902\) | 89.3666 | − | 56.1528i | 0.0990761 | − | 0.0622536i | ||||
\(903\) | −118.680 | + | 27.0880i | −0.131429 | + | 0.0299978i | ||||
\(904\) | −2156.80 | − | 1719.99i | −2.38584 | − | 1.90264i | ||||
\(905\) | 892.384 | − | 711.653i | 0.986060 | − | 0.786356i | ||||
\(906\) | 436.371 | − | 1911.86i | 0.481645 | − | 2.11023i | ||||
\(907\) | 142.031 | − | 49.6988i | 0.156594 | − | 0.0547947i | −0.250844 | − | 0.968028i | \(-0.580708\pi\) |
0.407438 | + | 0.913233i | \(0.366422\pi\) | |||||||
\(908\) | −1008.19 | + | 2093.54i | −1.11035 | + | 2.30566i | ||||
\(909\) | 32.1162 | + | 20.1799i | 0.0353313 | + | 0.0222001i | ||||
\(910\) | −1689.72 | − | 591.257i | −1.85683 | − | 0.649733i | ||||
\(911\) | −396.137 | + | 396.137i | −0.434837 | + | 0.434837i | −0.890270 | − | 0.455433i | \(-0.849485\pi\) |
0.455433 | + | 0.890270i | \(0.349485\pi\) | |||||||
\(912\) | 367.497 | + | 763.116i | 0.402957 | + | 0.836750i | ||||
\(913\) | 3.43367 | − | 30.4747i | 0.00376087 | − | 0.0333786i | ||||
\(914\) | −3252.03 | − | 366.415i | −3.55802 | − | 0.400892i | ||||
\(915\) | 96.7333 | − | 46.5843i | 0.105719 | − | 0.0509118i | ||||
\(916\) | 1928.86 | + | 1928.86i | 2.10574 | + | 2.10574i | ||||
\(917\) | 239.542 | − | 684.571i | 0.261223 | − | 0.746533i | ||||
\(918\) | −1346.14 | + | 2142.37i | −1.46639 | + | 2.33374i | ||||
\(919\) | 84.8857 | + | 40.8788i | 0.0923675 | + | 0.0444818i | 0.479497 | − | 0.877543i | \(-0.340819\pi\) |
−0.387130 | + | 0.922025i | \(0.626533\pi\) | |||||||
\(920\) | 738.168 | + | 2109.56i | 0.802356 | + | 2.29300i | ||||
\(921\) | −835.826 | − | 190.772i | −0.907520 | − | 0.207136i | ||||
\(922\) | 296.558 | + | 371.871i | 0.321646 | + | 0.403331i | ||||
\(923\) | 428.893 | − | 537.815i | 0.464673 | − | 0.582681i | ||||
\(924\) | 29.3223 | + | 128.469i | 0.0317341 | + | 0.139036i | ||||
\(925\) | −171.599 | − | 273.098i | −0.185512 | − | 0.295241i | ||||
\(926\) | −14.6938 | − | 130.411i | −0.0158681 | − | 0.140833i | ||||
\(927\) | − | 332.674i | − | 0.358872i | ||||||
\(928\) | 145.833 | − | 762.272i | 0.157147 | − | 0.821413i | ||||
\(929\) | 426.924 | 0.459552 | 0.229776 | − | 0.973243i | \(-0.426201\pi\) | ||||
0.229776 | + | 0.973243i | \(0.426201\pi\) | |||||||
\(930\) | −16.5815 | + | 1.86829i | −0.0178296 | + | 0.00200891i | ||||
\(931\) | 529.438 | − | 332.668i | 0.568677 | − | 0.357323i | ||||
\(932\) | 796.820 | − | 181.869i | 0.854957 | − | 0.195138i | ||||
\(933\) | −39.3474 | − | 31.3785i | −0.0421730 | − | 0.0336319i | ||||
\(934\) | −414.618 | + | 330.647i | −0.443916 | + | 0.354011i | ||||
\(935\) | −27.3662 | + | 119.899i | −0.0292686 | + | 0.128234i | ||||
\(936\) | 584.771 | − | 204.620i | 0.624755 | − | 0.218611i | ||||
\(937\) | 495.268 | − | 1028.43i | 0.528568 | − | 1.09758i | −0.450260 | − | 0.892897i | \(-0.648669\pi\) |
0.978828 | − | 0.204685i | \(-0.0656169\pi\) | |||||||
\(938\) | 1989.87 | + | 1250.32i | 2.12139 | + | 1.33296i | ||||
\(939\) | 817.641 | + | 286.105i | 0.870757 | + | 0.304691i | ||||
\(940\) | 182.301 | − | 182.301i | 0.193937 | − | 0.193937i | ||||
\(941\) | 54.6779 | + | 113.540i | 0.0581062 | + | 0.120659i | 0.928000 | − | 0.372581i | \(-0.121527\pi\) |
−0.869894 | + | 0.493239i | \(0.835813\pi\) | |||||||
\(942\) | 158.325 | − | 1405.17i | 0.168073 | − | 1.49169i | ||||
\(943\) | −756.946 | − | 85.2873i | −0.802700 | − | 0.0904425i | ||||
\(944\) | 2204.66 | − | 1061.71i | 2.33544 | − | 1.12469i | ||||
\(945\) | 1290.10 | + | 1290.10i | 1.36519 | + | 1.36519i | ||||
\(946\) | 5.33078 | − | 15.2345i | 0.00563507 | − | 0.0161041i | ||||
\(947\) | −220.220 | + | 350.478i | −0.232545 | + | 0.370093i | −0.942529 | − | 0.334125i | \(-0.891559\pi\) |
0.709984 | + | 0.704218i | \(0.248702\pi\) | |||||||
\(948\) | 370.173 | + | 178.266i | 0.390478 | + | 0.188044i | ||||
\(949\) | −75.7298 | − | 216.423i | −0.0797996 | − | 0.228054i | ||||
\(950\) | 1043.38 | + | 238.144i | 1.09829 | + | 0.250677i | ||||
\(951\) | −632.626 | − | 793.288i | −0.665222 | − | 0.834162i | ||||
\(952\) | 2548.10 | − | 3195.22i | 2.67658 | − | 3.35632i | ||||
\(953\) | 151.639 | + | 664.374i | 0.159117 | + | 0.697139i | 0.990044 | + | 0.140757i | \(0.0449537\pi\) |
−0.830927 | + | 0.556382i | \(0.812189\pi\) | |||||||
\(954\) | 524.701 | + | 835.056i | 0.550001 | + | 0.875321i | ||||
\(955\) | −21.3719 | − | 189.681i | −0.0223789 | − | 0.198618i | ||||
\(956\) | 3642.99i | 3.81066i | ||||||||
\(957\) | 22.7581 | − | 39.2340i | 0.0237806 | − | 0.0409969i | ||||
\(958\) | 1951.58 | 2.03714 | ||||||||
\(959\) | −1445.84 | + | 162.907i | −1.50765 | + | 0.169872i | ||||
\(960\) | −137.103 | + | 86.1477i | −0.142816 | + | 0.0897372i | ||||
\(961\) | −936.800 | + | 213.818i | −0.974818 | + | 0.222496i | ||||
\(962\) | 354.556 | + | 282.749i | 0.368561 | + | 0.293918i | ||||
\(963\) | 290.078 | − | 231.330i | 0.301224 | − | 0.240218i | ||||
\(964\) | −244.308 | + | 1070.38i | −0.253432 | + | 1.11036i | ||||
\(965\) | −1878.60 | + | 657.352i | −1.94674 | + | 0.681193i | ||||
\(966\) | 599.263 | − | 1244.38i | 0.620355 | − | 1.28818i | ||||
\(967\) | 253.964 | + | 159.576i | 0.262631 | + | 0.165022i | 0.656910 | − | 0.753969i | \(-0.271863\pi\) |
−0.394280 | + | 0.918990i | \(0.629006\pi\) | |||||||
\(968\) | 1973.82 | + | 690.669i | 2.03907 | + | 0.713501i | ||||
\(969\) | 551.306 | − | 551.306i | 0.568943 | − | 0.568943i | ||||
\(970\) | −1685.26 | − | 3499.48i | −1.73738 | − | 3.60771i | ||||
\(971\) | 154.759 | − | 1373.53i | 0.159381 | − | 1.41455i | −0.618327 | − | 0.785921i | \(-0.712189\pi\) |
0.777708 | − | 0.628626i | \(-0.216382\pi\) | |||||||
\(972\) | −1905.71 | − | 214.722i | −1.96061 | − | 0.220908i | ||||
\(973\) | −1160.04 | + | 558.644i | −1.19223 | + | 0.574146i | ||||
\(974\) | 584.360 | + | 584.360i | 0.599959 | + | 0.599959i | ||||
\(975\) | −108.508 | + | 310.098i | −0.111290 | + | 0.318049i | ||||
\(976\) | 108.584 | − | 172.810i | 0.111254 | − | 0.177059i | ||||
\(977\) | −1397.72 | − | 673.106i | −1.43062 | − | 0.688952i | −0.451510 | − | 0.892266i | \(-0.649115\pi\) |
−0.979114 | + | 0.203314i | \(0.934829\pi\) | |||||||
\(978\) | 635.132 | + | 1815.10i | 0.649419 | + | 1.85593i | ||||
\(979\) | −71.3893 | − | 16.2941i | −0.0729206 | − | 0.0166437i | ||||
\(980\) | −1543.25 | − | 1935.17i | −1.57474 | − | 1.97466i | ||||
\(981\) | −349.347 | + | 438.067i | −0.356113 | + | 0.446552i | ||||
\(982\) | −394.181 | − | 1727.02i | −0.401406 | − | 1.75868i | ||||
\(983\) | 582.106 | + | 926.416i | 0.592173 | + | 0.942438i | 0.999574 | + | 0.0291883i | \(0.00929225\pi\) |
−0.407401 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(984\) | 162.434 | + | 1441.65i | 0.165076 | + | 1.46509i | ||||
\(985\) | 1635.39i | 1.66029i | ||||||||
\(986\) | −2540.33 | + | 377.621i | −2.57639 | + | 0.382983i | ||||
\(987\) | −87.2653 | −0.0884147 | ||||||||
\(988\) | −1029.62 | + | 116.010i | −1.04213 | + | 0.117419i | ||||
\(989\) | −98.6330 | + | 61.9752i | −0.0997300 | + | 0.0626645i | ||||
\(990\) | −79.3330 | + | 18.1072i | −0.0801344 | + | 0.0182901i | ||||
\(991\) | 75.5485 | + | 60.2479i | 0.0762346 | + | 0.0607951i | 0.660866 | − | 0.750504i | \(-0.270189\pi\) |
−0.584631 | + | 0.811299i | \(0.698761\pi\) | |||||||
\(992\) | −6.89835 | + | 5.50125i | −0.00695398 | + | 0.00554562i | ||||
\(993\) | −168.117 | + | 736.569i | −0.169302 | + | 0.741761i | ||||
\(994\) | 2833.97 | − | 991.651i | 2.85108 | − | 0.997636i | ||||
\(995\) | 922.383 | − | 1915.35i | 0.927018 | − | 1.92497i | ||||
\(996\) | 651.654 | + | 409.461i | 0.654271 | + | 0.411106i | ||||
\(997\) | 937.382 | + | 328.004i | 0.940203 | + | 0.328991i | 0.756502 | − | 0.653991i | \(-0.226907\pi\) |
0.183700 | + | 0.982982i | \(0.441192\pi\) | |||||||
\(998\) | −379.193 | + | 379.193i | −0.379953 | + | 0.379953i | ||||
\(999\) | −200.535 | − | 416.415i | −0.200735 | − | 0.416831i |
(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 | 29.3.f.a.15.1 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.73.4 | 48 | |||
29.2 | odd | 28 | inner | 29.3.f.a.2.1 | ✓ | 48 | |
87.2 | even | 28 | 261.3.s.a.118.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.2.1 | ✓ | 48 | 29.2 | odd | 28 | inner | |
29.3.f.a.15.1 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.73.4 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.118.4 | 48 | 87.2 | even | 28 |