Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Character | \(\chi\) | \(=\) | 75.29 |
Dual form | 75.3.h.a.44.1 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16846 | + | 3.59614i | −0.584229 | + | 1.79807i | 0.0181173 | + | 0.999836i | \(0.494233\pi\) |
−0.602346 | + | 0.798235i | \(0.705767\pi\) | |||||||
\(3\) | −0.604570 | − | 2.93845i | −0.201523 | − | 0.979484i | ||||
\(4\) | −8.33088 | − | 6.05274i | −2.08272 | − | 1.51318i | ||||
\(5\) | 1.74586 | − | 4.68529i | 0.349171 | − | 0.937059i | ||||
\(6\) | 11.2735 | + | 1.25934i | 1.87892 | + | 0.209889i | ||||
\(7\) | − | 3.47419i | − | 0.496314i | −0.968720 | − | 0.248157i | \(-0.920175\pi\) | ||
0.968720 | − | 0.248157i | \(-0.0798248\pi\) | |||||||
\(8\) | 19.2645 | − | 13.9965i | 2.40807 | − | 1.74956i | ||||
\(9\) | −8.26899 | + | 3.55300i | −0.918777 | + | 0.394778i | ||||
\(10\) | 14.8090 | + | 11.7529i | 1.48090 | + | 1.17529i | ||||
\(11\) | −13.6746 | − | 4.44315i | −1.24315 | − | 0.403923i | −0.387687 | − | 0.921791i | \(-0.626726\pi\) |
−0.855460 | + | 0.517868i | \(0.826726\pi\) | |||||||
\(12\) | −12.7491 | + | 28.1392i | −1.06242 | + | 2.34493i | ||||
\(13\) | 3.15576 | − | 1.02537i | 0.242751 | − | 0.0788745i | −0.185115 | − | 0.982717i | \(-0.559266\pi\) |
0.427866 | + | 0.903842i | \(0.359266\pi\) | |||||||
\(14\) | 12.4937 | + | 4.05945i | 0.892407 | + | 0.289961i | ||||
\(15\) | −14.8230 | − | 2.29753i | −0.988200 | − | 0.153168i | ||||
\(16\) | 15.0952 | + | 46.4582i | 0.943448 | + | 2.90364i | ||||
\(17\) | 19.7542 | − | 14.3523i | 1.16201 | − | 0.844250i | 0.171980 | − | 0.985100i | \(-0.444984\pi\) |
0.990031 | + | 0.140850i | \(0.0449837\pi\) | |||||||
\(18\) | −3.11512 | − | 33.8880i | −0.173062 | − | 1.88267i | ||||
\(19\) | 0.199933 | − | 0.145260i | 0.0105228 | − | 0.00764526i | −0.582511 | − | 0.812823i | \(-0.697930\pi\) |
0.593034 | + | 0.805177i | \(0.297930\pi\) | |||||||
\(20\) | −42.9034 | + | 28.4654i | −2.14517 | + | 1.42327i | ||||
\(21\) | −10.2088 | + | 2.10039i | −0.486131 | + | 0.100019i | ||||
\(22\) | 31.9564 | − | 43.9842i | 1.45256 | − | 1.99928i | ||||
\(23\) | 0.933947 | − | 2.87439i | 0.0406064 | − | 0.124974i | −0.928698 | − | 0.370836i | \(-0.879071\pi\) |
0.969305 | + | 0.245863i | \(0.0790712\pi\) | |||||||
\(24\) | −52.7748 | − | 48.1460i | −2.19895 | − | 2.00608i | ||||
\(25\) | −18.9040 | − | 16.3597i | −0.756159 | − | 0.654388i | ||||
\(26\) | 12.5467i | 0.482564i | ||||||||
\(27\) | 15.4395 | + | 22.1500i | 0.571833 | + | 0.820370i | ||||
\(28\) | −21.0284 | + | 28.9431i | −0.751014 | + | 1.03368i | ||||
\(29\) | −0.319791 | + | 0.440155i | −0.0110273 | + | 0.0151777i | −0.814495 | − | 0.580171i | \(-0.802986\pi\) |
0.803468 | + | 0.595348i | \(0.202986\pi\) | |||||||
\(30\) | 25.5823 | − | 50.6211i | 0.852742 | − | 1.68737i | ||||
\(31\) | −11.7451 | + | 8.53329i | −0.378873 | + | 0.275267i | −0.760881 | − | 0.648892i | \(-0.775233\pi\) |
0.382008 | + | 0.924159i | \(0.375233\pi\) | |||||||
\(32\) | −89.4591 | −2.79560 | ||||||||
\(33\) | −4.78873 | + | 42.8684i | −0.145113 | + | 1.29904i | ||||
\(34\) | 28.5308 | + | 87.8088i | 0.839142 | + | 2.58261i | ||||
\(35\) | −16.2776 | − | 6.06545i | −0.465075 | − | 0.173298i | ||||
\(36\) | 90.3933 | + | 20.4504i | 2.51093 | + | 0.568067i | ||||
\(37\) | −18.1051 | + | 5.88270i | −0.489326 | + | 0.158992i | −0.543280 | − | 0.839552i | \(-0.682818\pi\) |
0.0539535 | + | 0.998543i | \(0.482818\pi\) | |||||||
\(38\) | 0.288762 | + | 0.888718i | 0.00759900 | + | 0.0233873i | ||||
\(39\) | −4.92087 | − | 8.65314i | −0.126176 | − | 0.221875i | ||||
\(40\) | −31.9446 | − | 114.696i | −0.798616 | − | 2.86740i | ||||
\(41\) | 33.4050 | − | 10.8539i | 0.814756 | − | 0.264730i | 0.128145 | − | 0.991755i | \(-0.459098\pi\) |
0.686611 | + | 0.727025i | \(0.259098\pi\) | |||||||
\(42\) | 4.37518 | − | 39.1663i | 0.104171 | − | 0.932532i | ||||
\(43\) | − | 15.4810i | − | 0.360024i | −0.983664 | − | 0.180012i | \(-0.942386\pi\) | ||
0.983664 | − | 0.180012i | \(-0.0576137\pi\) | |||||||
\(44\) | 87.0283 | + | 119.784i | 1.97792 | + | 2.72237i | ||||
\(45\) | 2.21037 | + | 44.9457i | 0.0491194 | + | 0.998793i | ||||
\(46\) | 9.24544 | + | 6.71721i | 0.200988 | + | 0.146026i | ||||
\(47\) | 18.4058 | + | 13.3726i | 0.391614 | + | 0.284524i | 0.766116 | − | 0.642702i | \(-0.222187\pi\) |
−0.374503 | + | 0.927226i | \(0.622187\pi\) | |||||||
\(48\) | 127.389 | − | 72.4436i | 2.65394 | − | 1.50924i | ||||
\(49\) | 36.9300 | 0.753673 | ||||||||
\(50\) | 80.9203 | − | 48.8658i | 1.61841 | − | 0.977315i | ||||
\(51\) | −54.1162 | − | 49.3698i | −1.06110 | − | 0.968034i | ||||
\(52\) | −32.4965 | − | 10.5588i | −0.624933 | − | 0.203053i | ||||
\(53\) | 58.0871 | + | 42.2027i | 1.09598 | + | 0.796278i | 0.980399 | − | 0.197020i | \(-0.0631263\pi\) |
0.115583 | + | 0.993298i | \(0.463126\pi\) | |||||||
\(54\) | −97.6949 | + | 29.6413i | −1.80916 | + | 0.548913i | ||||
\(55\) | −44.6914 | + | 56.3125i | −0.812571 | + | 1.02386i | ||||
\(56\) | −48.6266 | − | 66.9287i | −0.868332 | − | 1.19516i | ||||
\(57\) | −0.547712 | − | 0.499674i | −0.00960899 | − | 0.00876621i | ||||
\(58\) | −1.20920 | − | 1.66432i | −0.0208482 | − | 0.0286951i | ||||
\(59\) | −55.4722 | + | 18.0240i | −0.940207 | + | 0.305492i | −0.738730 | − | 0.674001i | \(-0.764574\pi\) |
−0.201477 | + | 0.979493i | \(0.564574\pi\) | |||||||
\(60\) | 109.582 | + | 108.860i | 1.82637 | + | 1.81434i | ||||
\(61\) | −0.754569 | + | 2.32233i | −0.0123700 | + | 0.0380709i | −0.957051 | − | 0.289920i | \(-0.906371\pi\) |
0.944681 | + | 0.327991i | \(0.106371\pi\) | |||||||
\(62\) | −16.9633 | − | 52.2077i | −0.273602 | − | 0.842060i | ||||
\(63\) | 12.3438 | + | 28.7281i | 0.195933 | + | 0.456001i | ||||
\(64\) | 44.1485 | − | 135.875i | 0.689820 | − | 2.12305i | ||||
\(65\) | 0.705350 | − | 16.5758i | 0.0108515 | − | 0.255012i | ||||
\(66\) | −148.565 | − | 67.3108i | −2.25099 | − | 1.01986i | ||||
\(67\) | −36.9484 | − | 50.8550i | −0.551468 | − | 0.759031i | 0.438742 | − | 0.898613i | \(-0.355424\pi\) |
−0.990210 | + | 0.139582i | \(0.955424\pi\) | |||||||
\(68\) | −251.440 | −3.69765 | ||||||||
\(69\) | −9.01090 | − | 1.00659i | −0.130593 | − | 0.0145882i | ||||
\(70\) | 40.8319 | − | 51.4494i | 0.583313 | − | 0.734992i | ||||
\(71\) | 73.0602 | − | 100.559i | 1.02902 | − | 1.41632i | 0.123334 | − | 0.992365i | \(-0.460641\pi\) |
0.905683 | − | 0.423955i | \(-0.139359\pi\) | |||||||
\(72\) | −109.569 | + | 184.184i | −1.52179 | + | 2.55811i | ||||
\(73\) | 115.337 | + | 37.4753i | 1.57996 | + | 0.513360i | 0.962046 | − | 0.272887i | \(-0.0879785\pi\) |
0.617913 | + | 0.786247i | \(0.287978\pi\) | |||||||
\(74\) | − | 71.9821i | − | 0.972731i | ||||||
\(75\) | −36.6434 | + | 65.4390i | −0.488579 | + | 0.872520i | ||||
\(76\) | −2.54484 | −0.0334847 | ||||||||
\(77\) | −15.4364 | + | 47.5083i | −0.200472 | + | 0.616991i | ||||
\(78\) | 36.8677 | − | 7.58533i | 0.472663 | − | 0.0972479i | ||||
\(79\) | 15.1510 | + | 11.0078i | 0.191784 | + | 0.139340i | 0.679534 | − | 0.733644i | \(-0.262182\pi\) |
−0.487749 | + | 0.872984i | \(0.662182\pi\) | |||||||
\(80\) | 244.024 | + | 10.3839i | 3.05030 | + | 0.129799i | ||||
\(81\) | 55.7524 | − | 58.7594i | 0.688301 | − | 0.725425i | ||||
\(82\) | 132.812i | 1.61965i | ||||||||
\(83\) | 22.6475 | − | 16.4544i | 0.272861 | − | 0.198245i | −0.442936 | − | 0.896553i | \(-0.646063\pi\) |
0.715798 | + | 0.698308i | \(0.246063\pi\) | |||||||
\(84\) | 97.7610 | + | 44.2928i | 1.16382 | + | 0.527295i | ||||
\(85\) | −32.7566 | − | 117.611i | −0.385371 | − | 1.38366i | ||||
\(86\) | 55.6720 | + | 18.0889i | 0.647349 | + | 0.210336i | ||||
\(87\) | 1.48671 | + | 0.673586i | 0.0170886 | + | 0.00774237i | ||||
\(88\) | −325.624 | + | 105.802i | −3.70027 | + | 1.20229i | ||||
\(89\) | −78.4526 | − | 25.4908i | −0.881490 | − | 0.286414i | −0.166914 | − | 0.985971i | \(-0.553380\pi\) |
−0.714576 | + | 0.699558i | \(0.753380\pi\) | |||||||
\(90\) | −164.214 | − | 44.5683i | −1.82460 | − | 0.495203i | ||||
\(91\) | −3.56233 | − | 10.9637i | −0.0391465 | − | 0.120480i | ||||
\(92\) | −25.1785 | + | 18.2933i | −0.273680 | + | 0.198840i | ||||
\(93\) | 32.1754 | + | 29.3533i | 0.345972 | + | 0.315627i | ||||
\(94\) | −69.5963 | + | 50.5647i | −0.740386 | + | 0.537922i | ||||
\(95\) | −0.331531 | − | 1.19035i | −0.00348980 | − | 0.0125300i | ||||
\(96\) | 54.0843 | + | 262.871i | 0.563378 | + | 2.73824i | ||||
\(97\) | 109.795 | − | 151.120i | 1.13191 | − | 1.55794i | 0.347510 | − | 0.937676i | \(-0.387027\pi\) |
0.784397 | − | 0.620259i | \(-0.212973\pi\) | |||||||
\(98\) | −43.1511 | + | 132.805i | −0.440317 | + | 1.35516i | ||||
\(99\) | 128.862 | − | 11.8455i | 1.30163 | − | 0.119652i | ||||
\(100\) | 58.4657 | + | 250.711i | 0.584657 | + | 2.50711i | ||||
\(101\) | 68.9025i | 0.682203i | 0.940027 | + | 0.341101i | \(0.110800\pi\) | ||||
−0.940027 | + | 0.341101i | \(0.889200\pi\) | |||||||
\(102\) | 240.773 | − | 136.923i | 2.36052 | − | 1.34238i | ||||
\(103\) | 25.0644 | − | 34.4982i | 0.243344 | − | 0.334934i | −0.669822 | − | 0.742521i | \(-0.733630\pi\) |
0.913166 | + | 0.407587i | \(0.133630\pi\) | |||||||
\(104\) | 46.4427 | − | 63.9228i | 0.446564 | − | 0.614643i | ||||
\(105\) | −7.98205 | + | 51.4980i | −0.0760195 | + | 0.490457i | ||||
\(106\) | −219.639 | + | 159.577i | −2.07207 | + | 1.50545i | ||||
\(107\) | −20.1866 | −0.188660 | −0.0943301 | − | 0.995541i | \(-0.530071\pi\) | ||||
−0.0943301 | + | 0.995541i | \(0.530071\pi\) | |||||||
\(108\) | 5.44351 | − | 277.980i | 0.0504029 | − | 2.57389i | ||||
\(109\) | −29.5073 | − | 90.8141i | −0.270709 | − | 0.833156i | −0.990323 | − | 0.138782i | \(-0.955681\pi\) |
0.719614 | − | 0.694374i | \(-0.244319\pi\) | |||||||
\(110\) | −150.288 | − | 226.515i | −1.36625 | − | 2.05923i | ||||
\(111\) | 28.2318 | + | 49.6444i | 0.254341 | + | 0.447247i | ||||
\(112\) | 161.405 | − | 52.4436i | 1.44111 | − | 0.468246i | ||||
\(113\) | 37.2469 | + | 114.634i | 0.329619 | + | 1.01446i | 0.969312 | + | 0.245832i | \(0.0790613\pi\) |
−0.639694 | + | 0.768630i | \(0.720939\pi\) | |||||||
\(114\) | 2.43688 | − | 1.38580i | 0.0213761 | − | 0.0121562i | ||||
\(115\) | −11.8368 | − | 9.39409i | −0.102929 | − | 0.0816877i | ||||
\(116\) | 5.32828 | − | 1.73126i | 0.0459335 | − | 0.0149247i | ||||
\(117\) | −22.4518 | + | 19.6912i | −0.191896 | + | 0.168301i | ||||
\(118\) | − | 220.546i | − | 1.86904i | ||||||
\(119\) | −49.8625 | − | 68.6299i | −0.419013 | − | 0.576722i | ||||
\(120\) | −317.715 | + | 163.209i | −2.64763 | + | 1.36008i | ||||
\(121\) | 69.3626 | + | 50.3949i | 0.573245 | + | 0.416487i | ||||
\(122\) | −7.46973 | − | 5.42708i | −0.0612273 | − | 0.0444842i | ||||
\(123\) | −52.0895 | − | 91.5970i | −0.423491 | − | 0.744691i | ||||
\(124\) | 149.496 | 1.20562 | ||||||||
\(125\) | −109.654 | + | 60.0090i | −0.877229 | + | 0.480072i | ||||
\(126\) | −117.733 | + | 10.8225i | −0.934393 | + | 0.0858932i | ||||
\(127\) | −220.266 | − | 71.5688i | −1.73438 | − | 0.563533i | −0.740307 | − | 0.672269i | \(-0.765320\pi\) |
−0.994071 | + | 0.108736i | \(0.965320\pi\) | |||||||
\(128\) | 147.545 | + | 107.198i | 1.15269 | + | 0.837481i | ||||
\(129\) | −45.4903 | + | 9.35937i | −0.352638 | + | 0.0725533i | ||||
\(130\) | 58.7848 | + | 21.9047i | 0.452191 | + | 0.168497i | ||||
\(131\) | −71.7512 | − | 98.7571i | −0.547719 | − | 0.753871i | 0.441981 | − | 0.897024i | \(-0.354276\pi\) |
−0.989701 | + | 0.143153i | \(0.954276\pi\) | |||||||
\(132\) | 299.365 | − | 328.146i | 2.26792 | − | 2.48596i | ||||
\(133\) | −0.504661 | − | 0.694606i | −0.00379444 | − | 0.00522260i | ||||
\(134\) | 226.055 | − | 73.4496i | 1.68697 | − | 0.548131i | ||||
\(135\) | 130.734 | − | 33.6679i | 0.968403 | − | 0.249392i | ||||
\(136\) | 179.674 | − | 552.979i | 1.32113 | − | 4.06602i | ||||
\(137\) | 43.7093 | + | 134.523i | 0.319046 | + | 0.981923i | 0.974057 | + | 0.226303i | \(0.0726640\pi\) |
−0.655011 | + | 0.755619i | \(0.727336\pi\) | |||||||
\(138\) | 14.1487 | − | 31.2283i | 0.102527 | − | 0.226292i | ||||
\(139\) | −59.6838 | + | 183.688i | −0.429380 | + | 1.32150i | 0.469357 | + | 0.883008i | \(0.344486\pi\) |
−0.898737 | + | 0.438487i | \(0.855514\pi\) | |||||||
\(140\) | 98.8944 | + | 149.055i | 0.706388 | + | 1.06468i | ||||
\(141\) | 28.1672 | − | 62.1693i | 0.199767 | − | 0.440917i | ||||
\(142\) | 276.256 | + | 380.234i | 1.94546 | + | 2.67770i | ||||
\(143\) | −47.7097 | −0.333634 | ||||||||
\(144\) | −289.888 | − | 330.529i | −2.01311 | − | 2.29534i | ||||
\(145\) | 1.50395 | + | 2.26676i | 0.0103720 | + | 0.0156328i | ||||
\(146\) | −269.533 | + | 370.980i | −1.84611 | + | 2.54096i | ||||
\(147\) | −22.3267 | − | 108.517i | −0.151883 | − | 0.738210i | ||||
\(148\) | 186.438 | + | 60.5772i | 1.25971 | + | 0.409306i | ||||
\(149\) | 155.361i | 1.04269i | 0.853346 | + | 0.521345i | \(0.174570\pi\) | ||||
−0.853346 | + | 0.521345i | \(0.825430\pi\) | |||||||
\(150\) | −192.512 | − | 208.238i | −1.28341 | − | 1.38825i | ||||
\(151\) | 181.277 | 1.20051 | 0.600255 | − | 0.799809i | \(-0.295066\pi\) | ||||
0.600255 | + | 0.799809i | \(0.295066\pi\) | |||||||
\(152\) | 1.81849 | − | 5.59673i | 0.0119637 | − | 0.0368206i | ||||
\(153\) | −112.354 | + | 188.865i | −0.734337 | + | 1.23441i | ||||
\(154\) | −152.810 | − | 111.023i | −0.992272 | − | 0.720928i | ||||
\(155\) | 19.4758 | + | 69.9270i | 0.125650 | + | 0.451142i | ||||
\(156\) | −11.3800 | + | 101.873i | −0.0729486 | + | 0.653032i | ||||
\(157\) | 74.0670i | 0.471764i | 0.971782 | + | 0.235882i | \(0.0757979\pi\) | ||||
−0.971782 | + | 0.235882i | \(0.924202\pi\) | |||||||
\(158\) | −57.2890 | + | 41.6229i | −0.362588 | + | 0.263436i | ||||
\(159\) | 88.8930 | − | 196.201i | 0.559075 | − | 1.23397i | ||||
\(160\) | −156.183 | + | 419.142i | −0.976143 | + | 2.61964i | ||||
\(161\) | −9.98620 | − | 3.24471i | −0.0620261 | − | 0.0201535i | ||||
\(162\) | 146.163 | + | 269.151i | 0.902240 | + | 1.66143i | ||||
\(163\) | 84.1202 | − | 27.3323i | 0.516075 | − | 0.167683i | −0.0393883 | − | 0.999224i | \(-0.512541\pi\) |
0.555463 | + | 0.831541i | \(0.312541\pi\) | |||||||
\(164\) | −343.989 | − | 111.769i | −2.09749 | − | 0.681517i | ||||
\(165\) | 192.491 | + | 97.2787i | 1.16661 | + | 0.589568i | ||||
\(166\) | 32.7096 | + | 100.670i | 0.197046 | + | 0.606445i | ||||
\(167\) | 175.385 | − | 127.425i | 1.05021 | − | 0.763024i | 0.0779591 | − | 0.996957i | \(-0.475160\pi\) |
0.972253 | + | 0.233933i | \(0.0751597\pi\) | |||||||
\(168\) | −167.269 | + | 183.350i | −0.995647 | + | 1.09137i | ||||
\(169\) | −127.816 | + | 92.8641i | −0.756310 | + | 0.549492i | ||||
\(170\) | 461.221 | + | 19.6263i | 2.71306 | + | 0.115449i | ||||
\(171\) | −1.13714 | + | 1.91151i | −0.00664992 | + | 0.0111784i | ||||
\(172\) | −93.7026 | + | 128.971i | −0.544783 | + | 0.749829i | ||||
\(173\) | 77.8124 | − | 239.482i | 0.449783 | − | 1.38429i | −0.427370 | − | 0.904077i | \(-0.640560\pi\) |
0.877153 | − | 0.480212i | \(-0.159440\pi\) | |||||||
\(174\) | −4.15947 | + | 4.55936i | −0.0239050 | + | 0.0262032i | ||||
\(175\) | −56.8368 | + | 65.6761i | −0.324782 | + | 0.375292i | ||||
\(176\) | − | 702.368i | − | 3.99073i | ||||||
\(177\) | 86.4995 | + | 152.106i | 0.488698 | + | 0.859354i | ||||
\(178\) | 183.337 | − | 252.342i | 1.02998 | − | 1.41765i | ||||
\(179\) | 10.1020 | − | 13.9042i | 0.0564356 | − | 0.0776769i | −0.779866 | − | 0.625946i | \(-0.784713\pi\) |
0.836302 | + | 0.548269i | \(0.184713\pi\) | |||||||
\(180\) | 253.630 | − | 387.816i | 1.40906 | − | 2.15453i | ||||
\(181\) | 154.529 | − | 112.272i | 0.853753 | − | 0.620288i | −0.0724253 | − | 0.997374i | \(-0.523074\pi\) |
0.926178 | + | 0.377086i | \(0.123074\pi\) | |||||||
\(182\) | 43.5895 | 0.239503 | ||||||||
\(183\) | 7.28023 | + | 0.813257i | 0.0397827 | + | 0.00444403i | ||||
\(184\) | −22.2394 | − | 68.4458i | −0.120866 | − | 0.371988i | ||||
\(185\) | −4.04670 | + | 95.0980i | −0.0218740 | + | 0.514043i | ||||
\(186\) | −143.154 | + | 81.4091i | −0.769647 | + | 0.437683i | ||||
\(187\) | −333.900 | + | 108.491i | −1.78556 | + | 0.580164i | ||||
\(188\) | −72.3958 | − | 222.811i | −0.385084 | − | 1.18517i | ||||
\(189\) | 76.9534 | − | 53.6398i | 0.407161 | − | 0.283809i | ||||
\(190\) | 4.66804 | + | 0.198639i | 0.0245686 | + | 0.00104547i | ||||
\(191\) | −188.567 | + | 61.2690i | −0.987260 | + | 0.320780i | −0.757763 | − | 0.652529i | \(-0.773708\pi\) |
−0.229496 | + | 0.973310i | \(0.573708\pi\) | |||||||
\(192\) | −425.953 | − | 47.5822i | −2.21851 | − | 0.247824i | ||||
\(193\) | 146.810i | 0.760674i | 0.924848 | + | 0.380337i | \(0.124192\pi\) | ||||
−0.924848 | + | 0.380337i | \(0.875808\pi\) | |||||||
\(194\) | 415.157 | + | 571.415i | 2.13999 | + | 2.94544i | ||||
\(195\) | −49.1336 | + | 7.94860i | −0.251967 | + | 0.0407621i | ||||
\(196\) | −307.659 | − | 223.527i | −1.56969 | − | 1.14045i | ||||
\(197\) | −239.141 | − | 173.746i | −1.21391 | − | 0.881959i | −0.218333 | − | 0.975874i | \(-0.570062\pi\) |
−0.995580 | + | 0.0939150i | \(0.970062\pi\) | |||||||
\(198\) | −107.971 | + | 477.246i | −0.545310 | + | 2.41034i | ||||
\(199\) | 84.3456 | 0.423847 | 0.211924 | − | 0.977286i | \(-0.432027\pi\) | ||||
0.211924 | + | 0.977286i | \(0.432027\pi\) | |||||||
\(200\) | −593.155 | − | 50.5725i | −2.96577 | − | 0.252863i | ||||
\(201\) | −127.097 | + | 139.316i | −0.632324 | + | 0.693116i | ||||
\(202\) | −247.783 | − | 80.5096i | −1.22665 | − | 0.398562i | ||||
\(203\) | 1.52918 | + | 1.11102i | 0.00753292 | + | 0.00547299i | ||||
\(204\) | 152.013 | + | 738.844i | 0.745162 | + | 3.62179i | ||||
\(205\) | 7.46641 | − | 175.462i | 0.0364215 | − | 0.855911i | ||||
\(206\) | 94.7738 | + | 130.445i | 0.460067 | + | 0.633228i | ||||
\(207\) | 2.48991 | + | 27.0866i | 0.0120286 | + | 0.130853i | ||||
\(208\) | 95.2735 | + | 131.133i | 0.458046 | + | 0.630446i | ||||
\(209\) | −3.37942 | + | 1.09804i | −0.0161695 | + | 0.00525378i | ||||
\(210\) | −175.867 | − | 88.8778i | −0.837464 | − | 0.423228i | ||||
\(211\) | −77.1947 | + | 237.581i | −0.365852 | + | 1.12598i | 0.583594 | + | 0.812045i | \(0.301646\pi\) |
−0.949446 | + | 0.313930i | \(0.898354\pi\) | |||||||
\(212\) | −228.474 | − | 703.172i | −1.07771 | − | 3.31685i | ||||
\(213\) | −339.657 | − | 153.889i | −1.59463 | − | 0.722484i | ||||
\(214\) | 23.5872 | − | 72.5940i | 0.110221 | − | 0.339224i | ||||
\(215\) | −72.5332 | − | 27.0277i | −0.337364 | − | 0.125710i | ||||
\(216\) | 607.457 | + | 210.610i | 2.81230 | + | 0.975047i | ||||
\(217\) | 29.6463 | + | 40.8046i | 0.136619 | + | 0.188040i | ||||
\(218\) | 361.058 | 1.65623 | ||||||||
\(219\) | 40.3899 | − | 361.569i | 0.184429 | − | 1.65100i | ||||
\(220\) | 713.163 | − | 198.627i | 3.24165 | − | 0.902852i | ||||
\(221\) | 47.6231 | − | 65.5476i | 0.215489 | − | 0.296595i | ||||
\(222\) | −211.516 | + | 43.5182i | −0.952774 | + | 0.196028i | ||||
\(223\) | −183.093 | − | 59.4906i | −0.821046 | − | 0.266774i | −0.131777 | − | 0.991279i | \(-0.542068\pi\) |
−0.689269 | + | 0.724505i | \(0.742068\pi\) | |||||||
\(224\) | 310.799i | 1.38749i | ||||||||
\(225\) | 214.443 | + | 68.1124i | 0.953079 | + | 0.302722i | ||||
\(226\) | −455.763 | −2.01665 | ||||||||
\(227\) | −49.1631 | + | 151.308i | −0.216577 | + | 0.666557i | 0.782460 | + | 0.622700i | \(0.213964\pi\) |
−0.999038 | + | 0.0438566i | \(0.986036\pi\) | |||||||
\(228\) | 1.53853 | + | 7.47788i | 0.00674795 | + | 0.0327977i | ||||
\(229\) | −91.2492 | − | 66.2964i | −0.398468 | − | 0.289504i | 0.370449 | − | 0.928853i | \(-0.379204\pi\) |
−0.768917 | + | 0.639349i | \(0.779204\pi\) | |||||||
\(230\) | 47.6133 | − | 31.5904i | 0.207014 | − | 0.137349i | ||||
\(231\) | 148.933 | + | 16.6370i | 0.644732 | + | 0.0720215i | ||||
\(232\) | 12.9553i | 0.0558419i | ||||||||
\(233\) | −76.0448 | + | 55.2498i | −0.326373 | + | 0.237124i | −0.738890 | − | 0.673826i | \(-0.764650\pi\) |
0.412517 | + | 0.910950i | \(0.364650\pi\) | |||||||
\(234\) | −44.5783 | − | 103.748i | −0.190505 | − | 0.443368i | ||||
\(235\) | 94.7886 | − | 62.8901i | 0.403356 | − | 0.267617i | ||||
\(236\) | 571.227 | + | 185.603i | 2.42045 | + | 0.786453i | ||||
\(237\) | 23.1861 | − | 51.1754i | 0.0978318 | − | 0.215930i | ||||
\(238\) | 305.065 | − | 99.1216i | 1.28179 | − | 0.416477i | ||||
\(239\) | 250.009 | + | 81.2328i | 1.04606 | + | 0.339886i | 0.781122 | − | 0.624379i | \(-0.214648\pi\) |
0.264940 | + | 0.964265i | \(0.414648\pi\) | |||||||
\(240\) | −117.017 | − | 723.331i | −0.487571 | − | 3.01388i | ||||
\(241\) | 35.1811 | + | 108.276i | 0.145980 | + | 0.449280i | 0.997136 | − | 0.0756333i | \(-0.0240978\pi\) |
−0.851156 | + | 0.524913i | \(0.824098\pi\) | |||||||
\(242\) | −262.274 | + | 190.553i | −1.08378 | + | 0.787411i | ||||
\(243\) | −206.368 | − | 128.302i | −0.849251 | − | 0.527990i | ||||
\(244\) | 20.3426 | − | 14.7798i | 0.0833715 | − | 0.0605730i | ||||
\(245\) | 64.4744 | − | 173.028i | 0.263161 | − | 0.706236i | ||||
\(246\) | 390.260 | − | 80.2939i | 1.58642 | − | 0.326398i | ||||
\(247\) | 0.481996 | − | 0.663410i | 0.00195140 | − | 0.00268587i | ||||
\(248\) | −106.827 | + | 328.780i | −0.430754 | + | 1.32572i | ||||
\(249\) | −62.0423 | − | 56.6007i | −0.249166 | − | 0.227312i | ||||
\(250\) | −87.6752 | − | 464.448i | −0.350701 | − | 1.85779i | ||||
\(251\) | − | 15.6416i | − | 0.0623170i | −0.999514 | − | 0.0311585i | \(-0.990080\pi\) | ||
0.999514 | − | 0.0311585i | \(-0.00991967\pi\) | |||||||
\(252\) | 71.0488 | − | 314.044i | 0.281940 | − | 1.24621i | ||||
\(253\) | −25.5427 | + | 35.1566i | −0.100959 | + | 0.138959i | ||||
\(254\) | 514.743 | − | 708.483i | 2.02655 | − | 2.78930i | ||||
\(255\) | −325.791 | + | 167.358i | −1.27761 | + | 0.656305i | ||||
\(256\) | −95.5682 | + | 69.4344i | −0.373313 | + | 0.271228i | ||||
\(257\) | −216.713 | −0.843240 | −0.421620 | − | 0.906773i | \(-0.638538\pi\) | ||||
−0.421620 | + | 0.906773i | \(0.638538\pi\) | |||||||
\(258\) | 19.4958 | − | 174.526i | 0.0755652 | − | 0.676455i | ||||
\(259\) | 20.4376 | + | 62.9006i | 0.0789098 | + | 0.242859i | ||||
\(260\) | −106.205 | + | 133.822i | −0.408481 | + | 0.514699i | ||||
\(261\) | 1.08048 | − | 4.77585i | 0.00413977 | − | 0.0182983i | ||||
\(262\) | 438.983 | − | 142.634i | 1.67551 | − | 0.544405i | ||||
\(263\) | 9.79367 | + | 30.1418i | 0.0372383 | + | 0.114608i | 0.967948 | − | 0.251152i | \(-0.0808093\pi\) |
−0.930709 | + | 0.365759i | \(0.880809\pi\) | |||||||
\(264\) | 507.755 | + | 892.865i | 1.92331 | + | 3.38206i | ||||
\(265\) | 299.144 | − | 198.475i | 1.12884 | − | 0.748963i | ||||
\(266\) | 3.08758 | − | 1.00321i | 0.0116074 | − | 0.00377148i | ||||
\(267\) | −27.4734 | + | 245.940i | −0.102897 | + | 0.921124i | ||||
\(268\) | 647.306i | 2.41532i | ||||||||
\(269\) | −130.806 | − | 180.040i | −0.486269 | − | 0.669292i | 0.493425 | − | 0.869788i | \(-0.335745\pi\) |
−0.979694 | + | 0.200496i | \(0.935745\pi\) | |||||||
\(270\) | −31.6830 | + | 509.479i | −0.117345 | + | 1.88696i | ||||
\(271\) | 278.532 | + | 202.365i | 1.02779 | + | 0.746735i | 0.967866 | − | 0.251468i | \(-0.0809132\pi\) |
0.0599272 | + | 0.998203i | \(0.480913\pi\) | |||||||
\(272\) | 964.972 | + | 701.093i | 3.54769 | + | 2.57755i | ||||
\(273\) | −30.0627 | + | 17.0961i | −0.110120 | + | 0.0626230i | ||||
\(274\) | −534.838 | −1.95196 | ||||||||
\(275\) | 185.816 | + | 307.706i | 0.675694 | + | 1.11893i | ||||
\(276\) | 68.9761 | + | 62.9263i | 0.249913 | + | 0.227994i | ||||
\(277\) | 23.6459 | + | 7.68303i | 0.0853644 | + | 0.0277366i | 0.351388 | − | 0.936230i | \(-0.385710\pi\) |
−0.266023 | + | 0.963967i | \(0.585710\pi\) | |||||||
\(278\) | −590.830 | − | 429.263i | −2.12529 | − | 1.54411i | ||||
\(279\) | 66.8011 | − | 112.292i | 0.239430 | − | 0.402480i | ||||
\(280\) | −398.476 | + | 110.982i | −1.42313 | + | 0.396364i | ||||
\(281\) | −110.113 | − | 151.557i | −0.391860 | − | 0.539349i | 0.566818 | − | 0.823843i | \(-0.308174\pi\) |
−0.958678 | + | 0.284494i | \(0.908174\pi\) | |||||||
\(282\) | 190.658 | + | 173.935i | 0.676091 | + | 0.616792i | ||||
\(283\) | 40.8490 | + | 56.2238i | 0.144343 | + | 0.198671i | 0.875067 | − | 0.484002i | \(-0.160817\pi\) |
−0.730724 | + | 0.682673i | \(0.760817\pi\) | |||||||
\(284\) | −1217.31 | + | 395.528i | −4.28631 | + | 1.39271i | ||||
\(285\) | −3.29735 | + | 1.69384i | −0.0115696 | + | 0.00594328i | ||||
\(286\) | 55.7467 | − | 171.571i | 0.194919 | − | 0.599898i | ||||
\(287\) | −37.7087 | − | 116.056i | −0.131389 | − | 0.404375i | ||||
\(288\) | 739.737 | − | 317.848i | 2.56853 | − | 1.10364i | ||||
\(289\) | 94.9346 | − | 292.179i | 0.328493 | − | 1.01100i | ||||
\(290\) | −9.90890 | + | 2.75979i | −0.0341686 | + | 0.00951650i | ||||
\(291\) | −510.437 | − | 231.265i | −1.75408 | − | 0.794724i | ||||
\(292\) | −734.030 | − | 1010.31i | −2.51380 | − | 3.45995i | ||||
\(293\) | 300.348 | 1.02508 | 0.512539 | − | 0.858664i | \(-0.328705\pi\) | ||||
0.512539 | + | 0.858664i | \(0.328705\pi\) | |||||||
\(294\) | 416.330 | + | 46.5072i | 1.41609 | + | 0.158188i | ||||
\(295\) | −12.3987 | + | 291.371i | −0.0420295 | + | 0.987699i | ||||
\(296\) | −266.449 | + | 366.735i | −0.900164 | + | 1.23897i | ||||
\(297\) | −112.713 | − | 371.493i | −0.379507 | − | 1.25082i | ||||
\(298\) | −558.700 | − | 181.532i | −1.87483 | − | 0.609169i | ||||
\(299\) | − | 10.0285i | − | 0.0335402i | ||||||
\(300\) | 701.357 | − | 323.371i | 2.33786 | − | 1.07790i | ||||
\(301\) | −53.7841 | −0.178685 | ||||||||
\(302\) | −211.814 | + | 651.898i | −0.701372 | + | 2.15860i | ||||
\(303\) | 202.467 | − | 41.6564i | 0.668206 | − | 0.137480i | ||||
\(304\) | 9.76653 | + | 7.09580i | 0.0321267 | + | 0.0233414i | ||||
\(305\) | 9.56341 | + | 7.58983i | 0.0313554 | + | 0.0248847i | ||||
\(306\) | −547.906 | − | 624.720i | −1.79054 | − | 2.04157i | ||||
\(307\) | 162.398i | 0.528984i | 0.964388 | + | 0.264492i | \(0.0852043\pi\) | ||||
−0.964388 | + | 0.264492i | \(0.914796\pi\) | |||||||
\(308\) | 416.154 | − | 302.353i | 1.35115 | − | 0.981667i | ||||
\(309\) | −116.525 | − | 52.7940i | −0.377102 | − | 0.170854i | ||||
\(310\) | −274.224 | − | 11.6690i | −0.884594 | − | 0.0376421i | ||||
\(311\) | 216.069 | + | 70.2051i | 0.694756 | + | 0.225740i | 0.635044 | − | 0.772476i | \(-0.280982\pi\) |
0.0597116 | + | 0.998216i | \(0.480982\pi\) | |||||||
\(312\) | −215.912 | − | 97.8237i | −0.692025 | − | 0.313537i | ||||
\(313\) | 161.337 | − | 52.4216i | 0.515454 | − | 0.167481i | −0.0397274 | − | 0.999211i | \(-0.512649\pi\) |
0.555181 | + | 0.831730i | \(0.312649\pi\) | |||||||
\(314\) | −266.355 | − | 86.5441i | −0.848265 | − | 0.275618i | ||||
\(315\) | 156.150 | − | 7.67927i | 0.495714 | − | 0.0243786i | ||||
\(316\) | −59.5934 | − | 183.410i | −0.188587 | − | 0.580410i | ||||
\(317\) | 354.138 | − | 257.296i | 1.11716 | − | 0.811661i | 0.133380 | − | 0.991065i | \(-0.457417\pi\) |
0.983775 | + | 0.179404i | \(0.0574170\pi\) | |||||||
\(318\) | 601.697 | + | 548.924i | 1.89213 | + | 1.72618i | ||||
\(319\) | 6.32870 | − | 4.59807i | 0.0198392 | − | 0.0144140i | ||||
\(320\) | −559.538 | − | 444.067i | −1.74856 | − | 1.38771i | ||||
\(321\) | 12.2042 | + | 59.3174i | 0.0380194 | + | 0.184790i | ||||
\(322\) | 23.3369 | − | 32.1205i | 0.0724748 | − | 0.0997530i | ||||
\(323\) | 1.86471 | − | 5.73898i | 0.00577309 | − | 0.0177677i | ||||
\(324\) | −820.122 | + | 152.063i | −2.53124 | + | 0.469330i | ||||
\(325\) | −76.4311 | − | 32.2438i | −0.235173 | − | 0.0992116i | ||||
\(326\) | 334.445i | 1.02590i | ||||||||
\(327\) | −249.013 | + | 141.609i | −0.761509 | + | 0.433055i | ||||
\(328\) | 491.615 | − | 676.649i | 1.49882 | − | 2.06296i | ||||
\(329\) | 46.4591 | − | 63.9455i | 0.141213 | − | 0.194363i | ||||
\(330\) | −574.745 | + | 578.558i | −1.74165 | + | 1.75321i | ||||
\(331\) | 18.8788 | − | 13.7163i | 0.0570357 | − | 0.0414389i | −0.558902 | − | 0.829234i | \(-0.688777\pi\) |
0.615938 | + | 0.787795i | \(0.288777\pi\) | |||||||
\(332\) | −288.267 | −0.868275 | ||||||||
\(333\) | 128.809 | − | 112.971i | 0.386815 | − | 0.339253i | ||||
\(334\) | 253.308 | + | 779.601i | 0.758407 | + | 2.33414i | ||||
\(335\) | −302.777 | + | 84.3283i | −0.903813 | + | 0.251726i | ||||
\(336\) | −251.683 | − | 442.574i | −0.749057 | − | 1.31718i | ||||
\(337\) | −264.614 | + | 85.9785i | −0.785206 | + | 0.255129i | −0.674061 | − | 0.738675i | \(-0.735452\pi\) |
−0.111145 | + | 0.993804i | \(0.535452\pi\) | |||||||
\(338\) | −184.604 | − | 568.154i | −0.546167 | − | 1.68093i | ||||
\(339\) | 314.329 | − | 178.753i | 0.927224 | − | 0.527294i | ||||
\(340\) | −438.978 | + | 1178.07i | −1.29111 | + | 3.46491i | ||||
\(341\) | 198.524 | − | 64.5044i | 0.582182 | − | 0.189162i | ||||
\(342\) | −5.54538 | − | 6.32283i | −0.0162146 | − | 0.0184878i | ||||
\(343\) | − | 298.537i | − | 0.870372i | ||||||
\(344\) | −216.680 | − | 298.235i | −0.629885 | − | 0.866962i | ||||
\(345\) | −20.4479 | + | 40.4614i | −0.0592692 | + | 0.117279i | ||||
\(346\) | 770.290 | + | 559.649i | 2.22627 | + | 1.61748i | ||||
\(347\) | 303.224 | + | 220.305i | 0.873843 | + | 0.634884i | 0.931615 | − | 0.363446i | \(-0.118400\pi\) |
−0.0577723 | + | 0.998330i | \(0.518400\pi\) | |||||||
\(348\) | −8.30855 | − | 14.6102i | −0.0238751 | − | 0.0419834i | ||||
\(349\) | −525.505 | −1.50574 | −0.752872 | − | 0.658167i | \(-0.771332\pi\) | ||||
−0.752872 | + | 0.658167i | \(0.771332\pi\) | |||||||
\(350\) | −169.769 | − | 281.133i | −0.485055 | − | 0.803237i | ||||
\(351\) | 71.4352 | + | 54.0689i | 0.203519 | + | 0.154042i | ||||
\(352\) | 1223.32 | + | 397.481i | 3.47534 | + | 1.12921i | ||||
\(353\) | 221.097 | + | 160.636i | 0.626337 | + | 0.455061i | 0.855129 | − | 0.518415i | \(-0.173478\pi\) |
−0.228792 | + | 0.973475i | \(0.573478\pi\) | |||||||
\(354\) | −648.065 | + | 133.336i | −1.83069 | + | 0.376654i | ||||
\(355\) | −343.595 | − | 517.870i | −0.967873 | − | 1.45879i | ||||
\(356\) | 499.290 | + | 687.214i | 1.40250 | + | 1.93038i | ||||
\(357\) | −171.520 | + | 188.010i | −0.480449 | + | 0.526639i | ||||
\(358\) | 38.1977 | + | 52.5746i | 0.106697 | + | 0.146856i | ||||
\(359\) | 29.5585 | − | 9.60415i | 0.0823357 | − | 0.0267525i | −0.267559 | − | 0.963541i | \(-0.586217\pi\) |
0.349895 | + | 0.936789i | \(0.386217\pi\) | |||||||
\(360\) | 671.664 | + | 834.920i | 1.86573 | + | 2.31922i | ||||
\(361\) | −111.536 | + | 343.273i | −0.308965 | + | 0.950896i | ||||
\(362\) | 223.186 | + | 686.894i | 0.616535 | + | 1.89750i | ||||
\(363\) | 106.148 | − | 234.286i | 0.292420 | − | 0.645415i | ||||
\(364\) | −36.6832 | + | 112.899i | −0.100778 | + | 0.310163i | ||||
\(365\) | 376.944 | − | 474.961i | 1.03272 | − | 1.30126i | ||||
\(366\) | −11.4312 | + | 25.2305i | −0.0312329 | + | 0.0689358i | ||||
\(367\) | 407.419 | + | 560.763i | 1.11013 | + | 1.52797i | 0.821221 | + | 0.570610i | \(0.193293\pi\) |
0.288911 | + | 0.957356i | \(0.406707\pi\) | |||||||
\(368\) | 147.637 | 0.401188 | ||||||||
\(369\) | −237.662 | + | 208.439i | −0.644069 | + | 0.564876i | ||||
\(370\) | −337.257 | − | 125.670i | −0.911506 | − | 0.339650i | ||||
\(371\) | 146.621 | − | 201.806i | 0.395204 | − | 0.543951i | ||||
\(372\) | −90.3811 | − | 439.288i | −0.242960 | − | 1.18088i | ||||
\(373\) | 167.401 | + | 54.3919i | 0.448797 | + | 0.145823i | 0.524691 | − | 0.851293i | \(-0.324181\pi\) |
−0.0758940 | + | 0.997116i | \(0.524181\pi\) | |||||||
\(374\) | − | 1327.52i | − | 3.54952i | ||||||
\(375\) | 242.627 | + | 285.932i | 0.647005 | + | 0.762486i | ||||
\(376\) | 541.750 | 1.44082 | ||||||||
\(377\) | −0.557863 | + | 1.71693i | −0.00147974 | + | 0.00455418i | ||||
\(378\) | 102.980 | + | 339.411i | 0.272433 | + | 0.897913i | ||||
\(379\) | 548.070 | + | 398.196i | 1.44609 | + | 1.05065i | 0.986724 | + | 0.162403i | \(0.0519245\pi\) |
0.459369 | + | 0.888245i | \(0.348075\pi\) | |||||||
\(380\) | −4.44292 | + | 11.9233i | −0.0116919 | + | 0.0313771i | ||||
\(381\) | −77.1351 | + | 690.509i | −0.202454 | + | 1.81236i | ||||
\(382\) | − | 749.703i | − | 1.96257i | ||||||
\(383\) | −315.963 | + | 229.560i | −0.824968 | + | 0.599374i | −0.918131 | − | 0.396277i | \(-0.870302\pi\) |
0.0931634 | + | 0.995651i | \(0.470302\pi\) | |||||||
\(384\) | 225.794 | − | 498.362i | 0.588004 | − | 1.29782i | ||||
\(385\) | 195.641 | + | 155.267i | 0.508158 | + | 0.403290i | ||||
\(386\) | −527.950 | − | 171.541i | −1.36775 | − | 0.444408i | ||||
\(387\) | 55.0041 | + | 128.013i | 0.142129 | + | 0.330782i | ||||
\(388\) | −1829.38 | + | 594.400i | −4.71489 | + | 1.53196i | ||||
\(389\) | 2.11367 | + | 0.686774i | 0.00543361 | + | 0.00176549i | 0.311733 | − | 0.950170i | \(-0.399091\pi\) |
−0.306299 | + | 0.951935i | \(0.599091\pi\) | |||||||
\(390\) | 28.8263 | − | 185.979i | 0.0739135 | − | 0.476870i | ||||
\(391\) | −22.8046 | − | 70.1855i | −0.0583239 | − | 0.179503i | ||||
\(392\) | 711.438 | − | 516.890i | 1.81489 | − | 1.31860i | ||||
\(393\) | −246.814 | + | 270.543i | −0.628026 | + | 0.688405i | ||||
\(394\) | 904.241 | − | 656.970i | 2.29503 | − | 1.66744i | ||||
\(395\) | 78.0263 | − | 51.7687i | 0.197535 | − | 0.131060i | ||||
\(396\) | −1145.23 | − | 681.283i | −2.89199 | − | 1.72041i | ||||
\(397\) | 248.558 | − | 342.111i | 0.626091 | − | 0.861740i | −0.371688 | − | 0.928358i | \(-0.621221\pi\) |
0.997779 | + | 0.0666180i | \(0.0212209\pi\) | |||||||
\(398\) | −98.5543 | + | 303.319i | −0.247624 | + | 0.762108i | ||||
\(399\) | −1.73596 | + | 1.90286i | −0.00435079 | + | 0.00476907i | ||||
\(400\) | 474.683 | − | 1125.20i | 1.18671 | − | 2.81299i | ||||
\(401\) | 585.073i | 1.45903i | 0.683963 | + | 0.729517i | \(0.260255\pi\) | ||||
−0.683963 | + | 0.729517i | \(0.739745\pi\) | |||||||
\(402\) | −352.494 | − | 619.845i | −0.876850 | − | 1.54190i | ||||
\(403\) | −28.3148 | + | 38.9720i | −0.0702601 | + | 0.0967048i | ||||
\(404\) | 417.049 | − | 574.018i | 1.03230 | − | 1.42084i | ||||
\(405\) | −177.969 | − | 363.802i | −0.439431 | − | 0.898276i | ||||
\(406\) | −5.78216 | + | 4.20098i | −0.0142418 | + | 0.0103473i | ||||
\(407\) | 273.718 | 0.672525 | ||||||||
\(408\) | −1733.53 | − | 193.648i | −4.24884 | − | 0.474628i | ||||
\(409\) | −38.0963 | − | 117.248i | −0.0931449 | − | 0.286671i | 0.893621 | − | 0.448823i | \(-0.148157\pi\) |
−0.986766 | + | 0.162152i | \(0.948157\pi\) | |||||||
\(410\) | 622.261 | + | 231.870i | 1.51771 | + | 0.565536i | ||||
\(411\) | 368.865 | − | 209.766i | 0.897482 | − | 0.510381i | ||||
\(412\) | −417.617 | + | 135.692i | −1.01363 | + | 0.329350i | ||||
\(413\) | 62.6190 | + | 192.721i | 0.151620 | + | 0.466638i | ||||
\(414\) | −100.317 | − | 22.6955i | −0.242311 | − | 0.0548200i | ||||
\(415\) | −37.5543 | − | 134.837i | −0.0904922 | − | 0.324909i | ||||
\(416\) | −282.312 | + | 91.7286i | −0.678634 | + | 0.220501i | ||||
\(417\) | 575.841 | + | 64.3258i | 1.38091 | + | 0.154259i | ||||
\(418\) | − | 13.4359i | − | 0.0321433i | ||||||
\(419\) | 314.654 | + | 433.084i | 0.750964 | + | 1.03361i | 0.997912 | + | 0.0645847i | \(0.0205723\pi\) |
−0.246948 | + | 0.969029i | \(0.579428\pi\) | |||||||
\(420\) | 378.201 | − | 380.710i | 0.900479 | − | 0.906453i | ||||
\(421\) | −351.428 | − | 255.328i | −0.834747 | − | 0.606479i | 0.0861513 | − | 0.996282i | \(-0.472543\pi\) |
−0.920898 | + | 0.389803i | \(0.872543\pi\) | |||||||
\(422\) | −764.176 | − | 555.206i | −1.81084 | − | 1.31565i | ||||
\(423\) | −199.711 | − | 45.1822i | −0.472129 | − | 0.106814i | ||||
\(424\) | 1709.71 | 4.03234 | ||||||||
\(425\) | −608.231 | − | 51.8579i | −1.43113 | − | 0.122019i | ||||
\(426\) | 950.282 | − | 1041.64i | 2.23071 | − | 2.44517i | ||||
\(427\) | 8.06821 | + | 2.62152i | 0.0188951 | + | 0.00613939i | ||||
\(428\) | 168.172 | + | 122.184i | 0.392926 | + | 0.285478i | ||||
\(429\) | 28.8438 | + | 140.193i | 0.0672351 | + | 0.326789i | ||||
\(430\) | 181.947 | − | 229.259i | 0.423133 | − | 0.533161i | ||||
\(431\) | −458.022 | − | 630.413i | −1.06269 | − | 1.46267i | −0.877259 | − | 0.480018i | \(-0.840630\pi\) |
−0.185436 | − | 0.982656i | \(-0.559370\pi\) | |||||||
\(432\) | −795.986 | + | 1051.65i | −1.84256 | + | 2.43437i | ||||
\(433\) | −51.5428 | − | 70.9426i | −0.119036 | − | 0.163840i | 0.745341 | − | 0.666684i | \(-0.232287\pi\) |
−0.864377 | + | 0.502844i | \(0.832287\pi\) | |||||||
\(434\) | −181.380 | + | 58.9339i | −0.417926 | + | 0.135792i | ||||
\(435\) | 5.75153 | − | 5.78969i | 0.0132219 | − | 0.0133096i | ||||
\(436\) | −303.852 | + | 935.160i | −0.696908 | + | 2.14486i | ||||
\(437\) | −0.230807 | − | 0.710351i | −0.000528162 | − | 0.00162552i | ||||
\(438\) | 1253.06 | + | 567.725i | 2.86086 | + | 1.29618i | ||||
\(439\) | −108.871 | + | 335.072i | −0.247999 | + | 0.763262i | 0.747130 | + | 0.664678i | \(0.231431\pi\) |
−0.995129 | + | 0.0985837i | \(0.968569\pi\) | |||||||
\(440\) | −72.7808 | + | 1710.36i | −0.165411 | + | 3.88718i | ||||
\(441\) | −305.374 | + | 131.212i | −0.692457 | + | 0.297533i | ||||
\(442\) | 180.073 | + | 247.849i | 0.407405 | + | 0.560744i | ||||
\(443\) | −206.690 | −0.466569 | −0.233285 | − | 0.972408i | \(-0.574947\pi\) | ||||
−0.233285 | + | 0.972408i | \(0.574947\pi\) | |||||||
\(444\) | 65.2887 | − | 584.461i | 0.147047 | − | 1.31635i | ||||
\(445\) | −256.399 | + | 323.070i | −0.576177 | + | 0.726001i | ||||
\(446\) | 427.873 | − | 588.917i | 0.959357 | − | 1.32044i | ||||
\(447\) | 456.520 | − | 93.9265i | 1.02130 | − | 0.210126i | ||||
\(448\) | −472.057 | − | 153.381i | −1.05370 | − | 0.342367i | ||||
\(449\) | 803.987i | 1.79062i | 0.445446 | + | 0.895309i | \(0.353045\pi\) | ||||
−0.445446 | + | 0.895309i | \(0.646955\pi\) | |||||||
\(450\) | −495.509 | + | 691.580i | −1.10113 | + | 1.53684i | ||||
\(451\) | −505.027 | −1.11979 | ||||||||
\(452\) | 383.551 | − | 1180.45i | 0.848565 | − | 2.61161i | ||||
\(453\) | −109.595 | − | 532.673i | −0.241931 | − | 1.17588i | ||||
\(454\) | −486.682 | − | 353.595i | −1.07199 | − | 0.778843i | ||||
\(455\) | −57.5876 | − | 2.45052i | −0.126566 | − | 0.00538576i | ||||
\(456\) | −17.5451 | − | 1.95992i | −0.0384761 | − | 0.00429807i | ||||
\(457\) | − | 637.107i | − | 1.39411i | −0.717019 | − | 0.697054i | \(-0.754494\pi\) | ||
0.717019 | − | 0.697054i | \(-0.245506\pi\) | |||||||
\(458\) | 345.032 | − | 250.681i | 0.753345 | − | 0.547337i | ||||
\(459\) | 622.897 | + | 215.963i | 1.35707 | + | 0.470508i | ||||
\(460\) | 41.7513 | + | 149.906i | 0.0907636 | + | 0.325883i | ||||
\(461\) | −352.232 | − | 114.447i | −0.764060 | − | 0.248258i | −0.0990399 | − | 0.995083i | \(-0.531577\pi\) |
−0.665020 | + | 0.746825i | \(0.731577\pi\) | |||||||
\(462\) | −233.851 | + | 516.145i | −0.506171 | + | 1.11720i | ||||
\(463\) | 216.634 | − | 70.3886i | 0.467892 | − | 0.152027i | −0.0655761 | − | 0.997848i | \(-0.520889\pi\) |
0.533468 | + | 0.845820i | \(0.320889\pi\) | |||||||
\(464\) | −25.2761 | − | 8.21270i | −0.0544743 | − | 0.0176998i | ||||
\(465\) | 193.703 | − | 99.5044i | 0.416565 | − | 0.213988i | ||||
\(466\) | −109.831 | − | 338.025i | −0.235689 | − | 0.725376i | ||||
\(467\) | 382.984 | − | 278.254i | 0.820093 | − | 0.595833i | −0.0966459 | − | 0.995319i | \(-0.530811\pi\) |
0.916739 | + | 0.399486i | \(0.130811\pi\) | |||||||
\(468\) | 306.229 | − | 28.1498i | 0.654335 | − | 0.0601492i | ||||
\(469\) | −176.680 | + | 128.366i | −0.376717 | + | 0.273701i | ||||
\(470\) | 115.405 | + | 414.358i | 0.245543 | + | 0.881612i | ||||
\(471\) | 217.642 | − | 44.7787i | 0.462085 | − | 0.0950715i | ||||
\(472\) | −816.373 | + | 1123.64i | −1.72960 | + | 2.38060i | ||||
\(473\) | −68.7846 | + | 211.697i | −0.145422 | + | 0.447563i | ||||
\(474\) | 156.942 | + | 143.177i | 0.331101 | + | 0.302061i | ||||
\(475\) | −6.15594 | − | 0.524857i | −0.0129599 | − | 0.00110496i | ||||
\(476\) | 873.552i | 1.83519i | ||||||||
\(477\) | −630.268 | − | 142.591i | −1.32132 | − | 0.298932i | ||||
\(478\) | −584.249 | + | 804.150i | −1.22228 | + | 1.68232i | ||||
\(479\) | −489.317 | + | 673.487i | −1.02154 | + | 1.40603i | −0.110419 | + | 0.993885i | \(0.535219\pi\) |
−0.911119 | + | 0.412142i | \(0.864781\pi\) | |||||||
\(480\) | 1326.05 | + | 205.535i | 2.76261 | + | 0.428197i | ||||
\(481\) | −51.1033 | + | 37.1288i | −0.106244 | + | 0.0771908i | ||||
\(482\) | −430.485 | −0.893122 | ||||||||
\(483\) | −3.49707 | + | 31.3056i | −0.00724032 | + | 0.0648149i | ||||
\(484\) | −272.824 | − | 839.667i | −0.563687 | − | 1.73485i | ||||
\(485\) | −516.354 | − | 778.255i | −1.06465 | − | 1.60465i | ||||
\(486\) | 702.523 | − | 592.213i | 1.44552 | − | 1.21855i | ||||
\(487\) | 405.549 | − | 131.771i | 0.832749 | − | 0.270577i | 0.138546 | − | 0.990356i | \(-0.455757\pi\) |
0.694203 | + | 0.719779i | \(0.255757\pi\) | |||||||
\(488\) | 17.9680 | + | 55.2998i | 0.0368197 | + | 0.113319i | ||||
\(489\) | −131.171 | − | 230.659i | −0.268244 | − | 0.471695i | ||||
\(490\) | 546.897 | + | 434.035i | 1.11612 | + | 0.885785i | ||||
\(491\) | 312.989 | − | 101.696i | 0.637452 | − | 0.207121i | 0.0275788 | − | 0.999620i | \(-0.491220\pi\) |
0.609873 | + | 0.792499i | \(0.291220\pi\) | |||||||
\(492\) | −120.462 | + | 1078.37i | −0.244841 | + | 2.19180i | ||||
\(493\) | 13.2846i | 0.0269465i | ||||||||
\(494\) | 1.82253 | + | 2.50849i | 0.00368932 | + | 0.00507792i | ||||
\(495\) | 169.475 | − | 624.436i | 0.342373 | − | 1.26149i | ||||
\(496\) | −573.735 | − | 416.843i | −1.15672 | − | 0.840409i | ||||
\(497\) | −349.361 | − | 253.825i | −0.702939 | − | 0.510715i | ||||
\(498\) | 276.038 | − | 156.978i | 0.554293 | − | 0.315216i | ||||
\(499\) | 41.0944 | 0.0823535 | 0.0411767 | − | 0.999152i | \(-0.486889\pi\) | ||||
0.0411767 | + | 0.999152i | \(0.486889\pi\) | |||||||
\(500\) | 1276.73 | + | 163.777i | 2.55346 | + | 0.327554i | ||||
\(501\) | −480.465 | − | 438.324i | −0.959011 | − | 0.874898i | ||||
\(502\) | 56.2493 | + | 18.2765i | 0.112050 | + | 0.0364074i | ||||
\(503\) | −405.699 | − | 294.758i | −0.806559 | − | 0.585999i | 0.106272 | − | 0.994337i | \(-0.466109\pi\) |
−0.912831 | + | 0.408338i | \(0.866109\pi\) | |||||||
\(504\) | 639.890 | + | 380.663i | 1.26962 | + | 0.755284i | ||||
\(505\) | 322.828 | + | 120.294i | 0.639264 | + | 0.238206i | ||||
\(506\) | −96.5824 | − | 132.934i | −0.190874 | − | 0.262716i | ||||
\(507\) | 350.151 | + | 319.440i | 0.690632 | + | 0.630058i | ||||
\(508\) | 1401.82 | + | 1929.44i | 2.75949 | + | 3.79811i | ||||
\(509\) | 16.6652 | − | 5.41484i | 0.0327410 | − | 0.0106382i | −0.292601 | − | 0.956235i | \(-0.594521\pi\) |
0.325342 | + | 0.945597i | \(0.394521\pi\) | |||||||
\(510\) | −221.169 | − | 1367.14i | −0.433665 | − | 2.68067i | ||||
\(511\) | 130.196 | − | 400.703i | 0.254787 | − | 0.784155i | ||||
\(512\) | 87.3999 | + | 268.989i | 0.170703 | + | 0.525370i | ||||
\(513\) | 6.30437 | + | 2.18578i | 0.0122892 | + | 0.00426077i | ||||
\(514\) | 253.220 | − | 779.330i | 0.492645 | − | 1.51621i | ||||
\(515\) | −117.875 | − | 177.663i | −0.228884 | − | 0.344977i | ||||
\(516\) | 435.624 | + | 197.369i | 0.844232 | + | 0.382498i | ||||
\(517\) | −192.276 | − | 264.646i | −0.371908 | − | 0.511887i | ||||
\(518\) | −250.080 | −0.482780 | ||||||||
\(519\) | −750.749 | − | 83.8643i | −1.44653 | − | 0.161588i | ||||
\(520\) | −218.415 | − | 329.198i | −0.420029 | − | 0.633072i | ||||
\(521\) | −157.291 | + | 216.493i | −0.301902 | + | 0.415533i | −0.932835 | − | 0.360305i | \(-0.882673\pi\) |
0.630932 | + | 0.775838i | \(0.282673\pi\) | |||||||
\(522\) | 15.9121 | + | 9.46594i | 0.0304830 | + | 0.0181340i | ||||
\(523\) | 335.344 | + | 108.960i | 0.641194 | + | 0.208337i | 0.611527 | − | 0.791223i | \(-0.290555\pi\) |
0.0296666 | + | 0.999560i | \(0.490555\pi\) | |||||||
\(524\) | 1257.02i | 2.39890i | ||||||||
\(525\) | 227.348 | + | 127.306i | 0.433043 | + | 0.242488i | ||||
\(526\) | −119.838 | −0.227828 | ||||||||
\(527\) | −109.542 | + | 337.136i | −0.207860 | + | 0.639727i | ||||
\(528\) | −2063.87 | + | 424.631i | −3.90885 | + | 0.804224i | ||||
\(529\) | 420.580 | + | 305.569i | 0.795047 | + | 0.577636i | ||||
\(530\) | 364.208 | + | 1307.67i | 0.687185 | + | 2.46731i | ||||
\(531\) | 394.660 | − | 346.133i | 0.743239 | − | 0.651852i | ||||
\(532\) | 8.84126i | 0.0166189i | ||||||||
\(533\) | 94.2889 | − | 68.5049i | 0.176902 | − | 0.128527i | ||||
\(534\) | −852.334 | − | 386.169i | −1.59613 | − | 0.723163i | ||||
\(535\) | −35.2430 | + | 94.5803i | −0.0658747 | + | 0.176786i | ||||
\(536\) | −1423.59 | − | 462.551i | −2.65594 | − | 0.862968i | ||||
\(537\) | −46.9641 | − | 21.2781i | −0.0874564 | − | 0.0396240i | ||||
\(538\) | 800.289 | − | 260.030i | 1.48753 | − | 0.483327i | ||||
\(539\) | −505.003 | − | 164.086i | −0.936926 | − | 0.304426i | ||||
\(540\) | −1292.91 | − | 510.818i | −2.39429 | − | 0.945959i | ||||
\(541\) | −234.275 | − | 721.024i | −0.433040 | − | 1.33276i | −0.895082 | − | 0.445902i | \(-0.852883\pi\) |
0.462041 | − | 0.886858i | \(-0.347117\pi\) | |||||||
\(542\) | −1053.19 | + | 765.185i | −1.94315 | + | 1.41178i | ||||
\(543\) | −423.330 | − | 386.200i | −0.779613 | − | 0.711235i | ||||
\(544\) | −1767.19 | + | 1283.94i | −3.24851 | + | 2.36018i | ||||
\(545\) | −477.006 | − | 20.2980i | −0.875240 | − | 0.0372441i | ||||
\(546\) | −26.3529 | − | 128.086i | −0.0482654 | − | 0.234589i | ||||
\(547\) | −284.203 | + | 391.172i | −0.519567 | + | 0.715123i | −0.985496 | − | 0.169699i | \(-0.945720\pi\) |
0.465929 | + | 0.884822i | \(0.345720\pi\) | |||||||
\(548\) | 450.098 | − | 1385.26i | 0.821346 | − | 2.52784i | ||||
\(549\) | −2.01169 | − | 21.8843i | −0.00366429 | − | 0.0398621i | ||||
\(550\) | −1323.67 | + | 308.679i | −2.40668 | + | 0.561235i | ||||
\(551\) | 0.134454i | 0.000244019i | ||||||||
\(552\) | −187.679 | + | 106.730i | −0.339999 | + | 0.193351i | ||||
\(553\) | 38.2433 | − | 52.6374i | 0.0691561 | − | 0.0951852i | ||||
\(554\) | −55.2585 | + | 76.0568i | −0.0997446 | + | 0.137287i | ||||
\(555\) | 281.887 | − | 45.6023i | 0.507905 | − | 0.0821664i | ||||
\(556\) | 1609.03 | − | 1169.03i | 2.89394 | − | 2.10257i | ||||
\(557\) | 523.653 | 0.940130 | 0.470065 | − | 0.882632i | \(-0.344230\pi\) | ||||
0.470065 | + | 0.882632i | \(0.344230\pi\) | |||||||
\(558\) | 325.763 | + | 371.434i | 0.583805 | + | 0.665653i | ||||
\(559\) | −15.8738 | − | 48.8544i | −0.0283967 | − | 0.0873961i | ||||
\(560\) | 36.0759 | − | 847.788i | 0.0644212 | − | 1.51391i | ||||
\(561\) | 520.661 | + | 915.559i | 0.928094 | + | 1.63201i | ||||
\(562\) | 673.683 | − | 218.893i | 1.19872 | − | 0.389489i | ||||
\(563\) | 174.641 | + | 537.488i | 0.310196 | + | 0.954686i | 0.977687 | + | 0.210068i | \(0.0673685\pi\) |
−0.667490 | + | 0.744618i | \(0.732631\pi\) | |||||||
\(564\) | −610.952 | + | 347.437i | −1.08325 | + | 0.616022i | ||||
\(565\) | 602.123 | + | 25.6221i | 1.06570 | + | 0.0453489i | ||||
\(566\) | −249.919 | + | 81.2036i | −0.441553 | + | 0.143469i | ||||
\(567\) | −204.142 | − | 193.695i | −0.360038 | − | 0.341613i | ||||
\(568\) | − | 2959.80i | − | 5.21092i | ||||||
\(569\) | −367.646 | − | 506.022i | −0.646127 | − | 0.889318i | 0.352796 | − | 0.935700i | \(-0.385231\pi\) |
−0.998924 | + | 0.0463821i | \(0.985231\pi\) | |||||||
\(570\) | −2.23847 | − | 13.8369i | −0.00392713 | − | 0.0242753i | ||||
\(571\) | −29.2756 | − | 21.2700i | −0.0512708 | − | 0.0372504i | 0.561855 | − | 0.827236i | \(-0.310088\pi\) |
−0.613125 | + | 0.789986i | \(0.710088\pi\) | |||||||
\(572\) | 397.464 | + | 288.774i | 0.694866 | + | 0.504850i | ||||
\(573\) | 294.038 | + | 517.052i | 0.513155 | + | 0.902360i | ||||
\(574\) | 461.413 | 0.803856 | ||||||||
\(575\) | −64.6795 | + | 39.0583i | −0.112486 | + | 0.0679275i | ||||
\(576\) | 117.701 | + | 1280.41i | 0.204341 | + | 2.22293i | ||||
\(577\) | 306.516 | + | 99.5931i | 0.531224 | + | 0.172605i | 0.562333 | − | 0.826911i | \(-0.309904\pi\) |
−0.0311093 | + | 0.999516i | \(0.509904\pi\) | |||||||
\(578\) | 939.789 | + | 682.796i | 1.62593 | + | 1.18131i | ||||
\(579\) | 431.394 | − | 88.7570i | 0.745068 | − | 0.153294i | ||||
\(580\) | 1.19093 | − | 27.9871i | 0.00205333 | − | 0.0482536i | ||||
\(581\) | −57.1657 | − | 78.6818i | −0.0983919 | − | 0.135425i | ||||
\(582\) | 1428.08 | − | 1565.38i | 2.45375 | − | 2.68966i | ||||
\(583\) | −606.806 | − | 835.196i | −1.04083 | − | 1.43258i | ||||
\(584\) | 2746.44 | − | 892.371i | 4.70280 | − | 1.52803i | ||||
\(585\) | 53.0613 | + | 139.571i | 0.0907031 | + | 0.238583i | ||||
\(586\) | −350.944 | + | 1080.09i | −0.598880 | + | 1.84316i | ||||
\(587\) | −211.113 | − | 649.740i | −0.359648 | − | 1.10688i | −0.953265 | − | 0.302135i | \(-0.902301\pi\) |
0.593617 | − | 0.804748i | \(-0.297699\pi\) | |||||||
\(588\) | −470.823 | + | 1039.18i | −0.800719 | + | 1.76731i | ||||
\(589\) | −1.10868 | + | 3.41217i | −0.00188231 | + | 0.00579316i | ||||
\(590\) | −1033.32 | − | 385.042i | −1.75140 | − | 0.652614i | ||||
\(591\) | −365.967 | + | 807.745i | −0.619233 | + | 1.36674i | ||||
\(592\) | −546.598 | − | 752.328i | −0.923308 | − | 1.27082i | ||||
\(593\) | 508.664 | 0.857782 | 0.428891 | − | 0.903356i | \(-0.358905\pi\) | ||||
0.428891 | + | 0.903356i | \(0.358905\pi\) | |||||||
\(594\) | 1467.64 | + | 28.7399i | 2.47078 | + | 0.0483837i | ||||
\(595\) | −408.604 | + | 113.803i | −0.686729 | + | 0.191265i | ||||
\(596\) | 940.358 | − | 1294.29i | 1.57778 | − | 2.17163i | ||||
\(597\) | −50.9928 | − | 247.846i | −0.0854151 | − | 0.415152i | ||||
\(598\) | 36.0640 | + | 11.7179i | 0.0603077 | + | 0.0195952i | ||||
\(599\) | − | 490.806i | − | 0.819376i | −0.912226 | − | 0.409688i | \(-0.865638\pi\) | ||
0.912226 | − | 0.409688i | \(-0.134362\pi\) | |||||||
\(600\) | 209.999 | + | 1773.53i | 0.349998 | + | 2.95588i | ||||
\(601\) | −766.651 | −1.27563 | −0.637813 | − | 0.770192i | \(-0.720161\pi\) | ||||
−0.637813 | + | 0.770192i | \(0.720161\pi\) | |||||||
\(602\) | 62.8445 | − | 193.415i | 0.104393 | − | 0.321288i | ||||
\(603\) | 486.214 | + | 289.242i | 0.806324 | + | 0.479672i | ||||
\(604\) | −1510.20 | − | 1097.22i | −2.50032 | − | 1.81659i | ||||
\(605\) | 357.212 | − | 237.002i | 0.590433 | − | 0.391739i | ||||
\(606\) | −86.7713 | + | 776.772i | −0.143187 | + | 1.28180i | ||||
\(607\) | 21.1434i | 0.0348326i | 0.999848 | + | 0.0174163i | \(0.00554405\pi\) | ||||
−0.999848 | + | 0.0174163i | \(0.994456\pi\) | |||||||
\(608\) | −17.8858 | + | 12.9948i | −0.0294175 | + | 0.0213731i | ||||
\(609\) | 2.34017 | − | 5.16512i | 0.00384264 | − | 0.00848131i | ||||
\(610\) | −38.4685 | + | 25.5230i | −0.0630632 | + | 0.0418410i | ||||
\(611\) | 71.7963 | + | 23.3280i | 0.117506 | + | 0.0381801i | ||||
\(612\) | 2079.16 | − | 893.366i | 3.39731 | − | 1.45975i | ||||
\(613\) | −632.815 | + | 205.614i | −1.03232 | + | 0.335423i | −0.775709 | − | 0.631091i | \(-0.782608\pi\) |
−0.256616 | + | 0.966513i | \(0.582608\pi\) | |||||||
\(614\) | −584.007 | − | 189.755i | −0.951151 | − | 0.309048i | ||||
\(615\) | −520.100 | + | 84.1392i | −0.845691 | + | 0.136812i | ||||
\(616\) | 367.575 | + | 1131.28i | 0.596713 | + | 1.83649i | ||||
\(617\) | 253.480 | − | 184.164i | 0.410826 | − | 0.298483i | −0.363110 | − | 0.931746i | \(-0.618285\pi\) |
0.773936 | + | 0.633264i | \(0.218285\pi\) | |||||||
\(618\) | 326.009 | − | 357.351i | 0.527522 | − | 0.578238i | ||||
\(619\) | −656.730 | + | 477.143i | −1.06095 | + | 0.770828i | −0.974265 | − | 0.225407i | \(-0.927629\pi\) |
−0.0866892 | + | 0.996235i | \(0.527629\pi\) | |||||||
\(620\) | 260.999 | − | 700.435i | 0.420967 | − | 1.12973i | ||||
\(621\) | 78.0874 | − | 23.6923i | 0.125745 | − | 0.0381518i | ||||
\(622\) | −504.935 | + | 694.983i | −0.811792 | + | 1.11734i | ||||
\(623\) | −88.5600 | + | 272.560i | −0.142151 | + | 0.437496i | ||||
\(624\) | 327.728 | − | 359.235i | 0.525204 | − | 0.575698i | ||||
\(625\) | 89.7203 | + | 618.527i | 0.143552 | + | 0.989643i | ||||
\(626\) | 641.443i | 1.02467i | ||||||||
\(627\) | 5.26963 | + | 9.26642i | 0.00840452 | + | 0.0147790i | ||||
\(628\) | 448.308 | − | 617.043i | 0.713866 | − | 0.982552i | ||||
\(629\) | −273.221 | + | 376.056i | −0.434374 | + | 0.597864i | ||||
\(630\) | −154.839 | + | 570.511i | −0.245776 | + | 0.905573i | ||||
\(631\) | 455.058 | − | 330.619i | 0.721170 | − | 0.523961i | −0.165588 | − | 0.986195i | \(-0.552952\pi\) |
0.886758 | + | 0.462234i | \(0.152952\pi\) | |||||||
\(632\) | 445.947 | 0.705613 | ||||||||
\(633\) | 744.789 | + | 83.1986i | 1.17660 | + | 0.131435i | ||||
\(634\) | 511.479 | + | 1574.17i | 0.806750 | + | 2.48292i | ||||
\(635\) | −719.873 | + | 907.062i | −1.13366 | + | 1.42844i | ||||
\(636\) | −1928.11 | + | 1096.48i | −3.03161 | + | 1.72402i | ||||
\(637\) | 116.542 | − | 37.8668i | 0.182955 | − | 0.0594456i | ||||
\(638\) | 9.14049 | + | 28.1315i | 0.0143268 | + | 0.0440933i | ||||
\(639\) | −246.849 | + | 1091.10i | −0.386305 | + | 1.70752i | ||||
\(640\) | 759.844 | − | 504.139i | 1.18726 | − | 0.787718i | ||||
\(641\) | 821.495 | − | 266.920i | 1.28158 | − | 0.416412i | 0.412446 | − | 0.910982i | \(-0.364675\pi\) |
0.869137 | + | 0.494571i | \(0.164675\pi\) | |||||||
\(642\) | −227.574 | − | 25.4218i | −0.354477 | − | 0.0395977i | ||||
\(643\) | 533.069i | 0.829034i | 0.910042 | + | 0.414517i | \(0.136049\pi\) | ||||
−0.910042 | + | 0.414517i | \(0.863951\pi\) | |||||||
\(644\) | 63.5544 | + | 87.4751i | 0.0986870 | + | 0.135831i | ||||
\(645\) | −35.5681 | + | 229.475i | −0.0551443 | + | 0.355776i | ||||
\(646\) | 18.4594 | + | 13.4115i | 0.0285748 | + | 0.0207608i | ||||
\(647\) | 341.706 | + | 248.264i | 0.528139 | + | 0.383716i | 0.819661 | − | 0.572849i | \(-0.194162\pi\) |
−0.291522 | + | 0.956564i | \(0.594162\pi\) | |||||||
\(648\) | 251.618 | − | 1912.31i | 0.388299 | − | 2.95110i | ||||
\(649\) | 838.645 | 1.29221 | ||||||||
\(650\) | 205.260 | − | 237.182i | 0.315784 | − | 0.364895i | ||||
\(651\) | 101.979 | − | 111.784i | 0.156650 | − | 0.171710i | ||||
\(652\) | −866.230 | − | 281.455i | −1.32857 | − | 0.431680i | ||||
\(653\) | 197.567 | + | 143.541i | 0.302553 | + | 0.219818i | 0.728695 | − | 0.684839i | \(-0.240127\pi\) |
−0.426141 | + | 0.904657i | \(0.640127\pi\) | |||||||
\(654\) | −218.285 | − | 1060.95i | −0.333769 | − | 1.62225i | ||||
\(655\) | −587.973 | + | 163.760i | −0.897669 | + | 0.250015i | ||||
\(656\) | 1008.51 | + | 1388.09i | 1.53736 | + | 2.11600i | ||||
\(657\) | −1086.87 | + | 99.9096i | −1.65429 | + | 0.152069i | ||||
\(658\) | 175.672 | + | 241.791i | 0.266978 | + | 0.367464i | ||||
\(659\) | 796.756 | − | 258.882i | 1.20904 | − | 0.392840i | 0.365959 | − | 0.930631i | \(-0.380741\pi\) |
0.843078 | + | 0.537791i | \(0.180741\pi\) | |||||||
\(660\) | −1014.81 | − | 1975.51i | −1.53760 | − | 2.99320i | ||||
\(661\) | 76.0907 | − | 234.183i | 0.115114 | − | 0.354286i | −0.876856 | − | 0.480752i | \(-0.840364\pi\) |
0.991971 | + | 0.126466i | \(0.0403636\pi\) | |||||||
\(662\) | 27.2666 | + | 83.9178i | 0.0411881 | + | 0.126764i | ||||
\(663\) | −221.400 | − | 100.310i | −0.333936 | − | 0.151297i | ||||
\(664\) | 205.990 | − | 633.971i | 0.310225 | − | 0.954776i | ||||
\(665\) | −4.13550 | + | 1.15180i | −0.00621880 | + | 0.00173203i | ||||
\(666\) | 255.752 | + | 595.219i | 0.384012 | + | 0.893723i | ||||
\(667\) | 0.966509 | + | 1.33029i | 0.00144904 | + | 0.00199443i | ||||
\(668\) | −2232.38 | −3.34189 | ||||||||
\(669\) | −64.1176 | + | 573.977i | −0.0958409 | + | 0.857962i | ||||
\(670\) | 50.5259 | − | 1187.36i | 0.0754117 | − | 1.77219i | ||||
\(671\) | 20.6369 | − | 28.4043i | 0.0307554 | − | 0.0423312i | ||||
\(672\) | 913.266 | − | 187.899i | 1.35903 | − | 0.279612i | ||||
\(673\) | −560.837 | − | 182.227i | −0.833339 | − | 0.270768i | −0.138888 | − | 0.990308i | \(-0.544353\pi\) |
−0.694451 | + | 0.719540i | \(0.744353\pi\) | |||||||
\(674\) | − | 1052.05i | − | 1.56091i | ||||||
\(675\) | 70.4995 | − | 671.308i | 0.104444 | − | 0.994531i | ||||
\(676\) | 1626.90 | 2.40666 | ||||||||
\(677\) | −89.6118 | + | 275.797i | −0.132366 | + | 0.407381i | −0.995171 | − | 0.0981561i | \(-0.968706\pi\) |
0.862805 | + | 0.505537i | \(0.168706\pi\) | |||||||
\(678\) | 275.540 | + | 1339.24i | 0.406402 | + | 1.97527i | ||||
\(679\) | −525.020 | − | 381.449i | −0.773225 | − | 0.561781i | ||||
\(680\) | −2277.18 | − | 1807.25i | −3.34880 | − | 2.65771i | ||||
\(681\) | 474.335 | + | 52.9868i | 0.696527 | + | 0.0778074i | ||||
\(682\) | 789.291i | 1.15732i | ||||||||
\(683\) | −688.057 | + | 499.903i | −1.00740 | + | 0.731922i | −0.963663 | − | 0.267121i | \(-0.913928\pi\) |
−0.0437411 | + | 0.999043i | \(0.513928\pi\) | |||||||
\(684\) | 21.0432 | − | 9.04180i | 0.0307650 | − | 0.0132190i | ||||
\(685\) | 706.592 | + | 30.0676i | 1.03152 | + | 0.0438943i | ||||
\(686\) | 1073.58 | + | 348.828i | 1.56499 | + | 0.508496i | ||||
\(687\) | −139.642 | + | 308.212i | −0.203264 | + | 0.448635i | ||||
\(688\) | 719.221 | − | 233.689i | 1.04538 | − | 0.339664i | ||||
\(689\) | 226.582 | + | 73.6210i | 0.328857 | + | 0.106852i | ||||
\(690\) | −121.612 | − | 120.811i | −0.176250 | − | 0.175088i | ||||
\(691\) | −108.281 | − | 333.253i | −0.156701 | − | 0.482277i | 0.841628 | − | 0.540058i | \(-0.181598\pi\) |
−0.998329 | + | 0.0577807i | \(0.981598\pi\) | |||||||
\(692\) | −2097.77 | + | 1524.12i | −3.03145 | + | 2.20248i | ||||
\(693\) | −41.1536 | − | 447.691i | −0.0593847 | − | 0.646019i | ||||
\(694\) | −1146.55 | + | 833.018i | −1.65209 | + | 1.20031i | ||||
\(695\) | 756.433 | + | 600.329i | 1.08839 | + | 0.863783i | ||||
\(696\) | 38.0686 | − | 7.83240i | 0.0546963 | − | 0.0112535i | ||||
\(697\) | 504.110 | − | 693.848i | 0.723257 | − | 0.995478i | ||||
\(698\) | 614.030 | − | 1889.79i | 0.879699 | − | 2.70744i | ||||
\(699\) | 208.323 | + | 190.052i | 0.298030 | + | 0.271891i | ||||
\(700\) | 871.020 | − | 203.121i | 1.24431 | − | 0.290173i | ||||
\(701\) | 294.418i | 0.419996i | 0.977702 | + | 0.209998i | \(0.0673458\pi\) | ||||
−0.977702 | + | 0.209998i | \(0.932654\pi\) | |||||||
\(702\) | −277.908 | + | 193.714i | −0.395881 | + | 0.275946i | ||||
\(703\) | −2.76528 | + | 3.80609i | −0.00393355 | + | 0.00541406i | ||||
\(704\) | −1207.43 | + | 1661.88i | −1.71510 | + | 2.36063i | ||||
\(705\) | −242.106 | − | 240.510i | −0.343413 | − | 0.341149i | ||||
\(706\) | −836.014 | + | 607.399i | −1.18416 | + | 0.860339i | ||||
\(707\) | 239.381 | 0.338586 | ||||||||
\(708\) | 200.038 | − | 1790.73i | 0.282540 | − | 2.52928i | ||||
\(709\) | −245.062 | − | 754.223i | −0.345644 | − | 1.06378i | −0.961238 | − | 0.275720i | \(-0.911084\pi\) |
0.615594 | − | 0.788064i | \(-0.288916\pi\) | |||||||
\(710\) | 2263.81 | − | 630.507i | 3.18846 | − | 0.888038i | ||||
\(711\) | −164.394 | − | 37.1922i | −0.231215 | − | 0.0523097i | ||||
\(712\) | −1868.14 | + | 606.994i | −2.62379 | + | 0.852519i | ||||
\(713\) | 13.5588 | + | 41.7296i | 0.0190165 | + | 0.0585267i | ||||
\(714\) | −475.697 | − | 836.493i | −0.666243 | − | 1.17156i | ||||
\(715\) | −83.2943 | + | 223.534i | −0.116495 | + | 0.312635i | ||||
\(716\) | −168.317 | + | 54.6894i | −0.235079 | + | 0.0763818i | ||||
\(717\) | 87.5508 | − | 783.750i | 0.122107 | − | 1.09310i | ||||
\(718\) | 117.519i | 0.163675i | ||||||||
\(719\) | −183.089 | − | 252.000i | −0.254644 | − | 0.350487i | 0.662487 | − | 0.749073i | \(-0.269501\pi\) |
−0.917131 | + | 0.398586i | \(0.869501\pi\) | |||||||
\(720\) | −2054.73 | + | 781.153i | −2.85379 | + | 1.08493i | ||||
\(721\) | −119.854 | − | 87.0787i | −0.166232 | − | 0.120775i | ||||
\(722\) | −1104.13 | − | 802.200i | −1.52927 | − | 1.11108i | ||||
\(723\) | 296.895 | − | 168.839i | 0.410644 | − | 0.233525i | ||||
\(724\) | −1966.92 | −2.71674 | ||||||||
\(725\) | 13.2461 | − | 3.08898i | 0.0182705 | − | 0.00426067i | ||||
\(726\) | 718.495 | + | 655.477i | 0.989663 | + | 0.902862i | ||||
\(727\) | 1255.66 | + | 407.987i | 1.72717 | + | 0.561193i | 0.993036 | − | 0.117808i | \(-0.0375869\pi\) |
0.734137 | + | 0.679001i | \(0.237587\pi\) | |||||||
\(728\) | −222.080 | − | 161.351i | −0.305055 | − | 0.221636i | ||||
\(729\) | −252.244 | + | 683.969i | −0.346014 | + | 0.938229i | ||||
\(730\) | 1267.59 | + | 1910.52i | 1.73642 | + | 2.61715i | ||||
\(731\) | −222.188 | − | 305.815i | −0.303950 | − | 0.418352i | ||||
\(732\) | −55.7283 | − | 50.8405i | −0.0761315 | − | 0.0694542i | ||||
\(733\) | 183.126 | + | 252.051i | 0.249830 | + | 0.343862i | 0.915452 | − | 0.402428i | \(-0.131834\pi\) |
−0.665622 | + | 0.746289i | \(0.731834\pi\) | |||||||
\(734\) | −2492.64 | + | 809.907i | −3.39596 | + | 1.10342i | ||||
\(735\) | −547.413 | − | 84.8475i | −0.744780 | − | 0.115439i | ||||
\(736\) | −83.5501 | + | 257.141i | −0.113519 | + | 0.349376i | ||||
\(737\) | 279.298 | + | 859.591i | 0.378966 | + | 1.16634i | ||||
\(738\) | −471.879 | − | 1098.22i | −0.639403 | − | 1.48810i | ||||
\(739\) | 353.343 | − | 1087.48i | 0.478136 | − | 1.47155i | −0.363544 | − | 0.931577i | \(-0.618433\pi\) |
0.841681 | − | 0.539976i | \(-0.181567\pi\) | |||||||
\(740\) | 609.315 | − | 767.756i | 0.823399 | − | 1.03751i | ||||
\(741\) | −2.24080 | − | 1.01524i | −0.00302402 | − | 0.00137010i | ||||
\(742\) | 554.403 | + | 763.070i | 0.747173 | + | 1.02840i | ||||
\(743\) | 808.948 | 1.08876 | 0.544379 | − | 0.838839i | \(-0.316765\pi\) | ||||
0.544379 | + | 0.838839i | \(0.316765\pi\) | |||||||
\(744\) | 1030.69 | + | 115.136i | 1.38533 | + | 0.154752i | ||||
\(745\) | 727.911 | + | 271.238i | 0.977062 | + | 0.364077i | ||||
\(746\) | −391.202 | + | 538.444i | −0.524400 | + | 0.721774i | ||||
\(747\) | −128.810 | + | 216.527i | −0.172436 | + | 0.289863i | ||||
\(748\) | 3438.35 | + | 1117.19i | 4.59672 | + | 1.49357i | ||||
\(749\) | 70.1323i | 0.0936346i | ||||||||
\(750\) | −1311.75 | + | 538.421i | −1.74900 | + | 0.717894i | ||||
\(751\) | 681.411 | 0.907338 | 0.453669 | − | 0.891170i | \(-0.350115\pi\) | ||||
0.453669 | + | 0.891170i | \(0.350115\pi\) | |||||||
\(752\) | −343.428 | + | 1056.96i | −0.456687 | + | 1.40554i | ||||
\(753\) | −45.9620 | + | 9.45643i | −0.0610385 | + | 0.0125583i | ||||
\(754\) | −5.52247 | − | 4.01231i | −0.00732423 | − | 0.00532137i | ||||
\(755\) | 316.483 | − | 849.336i | 0.419183 | − | 1.12495i | ||||
\(756\) | −965.757 | − | 18.9118i | −1.27746 | − | 0.0250156i | ||||
\(757\) | 499.868i | 0.660327i | 0.943924 | + | 0.330164i | \(0.107104\pi\) | ||||
−0.943924 | + | 0.330164i | \(0.892896\pi\) | |||||||
\(758\) | −2072.36 | + | 1505.66i | −2.73399 | + | 1.98636i | ||||
\(759\) | 118.748 | + | 53.8015i | 0.156453 | + | 0.0708847i | ||||
\(760\) | −23.0475 | − | 18.2912i | −0.0303256 | − | 0.0240674i | ||||
\(761\) | −719.516 | − | 233.785i | −0.945487 | − | 0.307207i | −0.204607 | − | 0.978844i | \(-0.565591\pi\) |
−0.740880 | + | 0.671637i | \(0.765591\pi\) | |||||||
\(762\) | −2393.04 | − | 1084.22i | −3.14047 | − | 1.42286i | ||||
\(763\) | −315.506 | + | 102.514i | −0.413507 | + | 0.134357i | ||||
\(764\) | 1941.77 | + | 630.919i | 2.54158 | + | 0.825811i | ||||
\(765\) | 688.736 | + | 856.141i | 0.900308 | + | 1.11914i | ||||
\(766\) | −456.343 | − | 1404.48i | −0.595747 | − | 1.83352i | ||||
\(767\) | −156.576 | + | 113.759i | −0.204141 | + | 0.148317i | ||||
\(768\) | 261.807 | + | 238.845i | 0.340895 | + | 0.310996i | ||||
\(769\) | 995.978 | − | 723.620i | 1.29516 | − | 0.940989i | 0.295264 | − | 0.955416i | \(-0.404592\pi\) |
0.999896 | + | 0.0144268i | \(0.00459236\pi\) | |||||||
\(770\) | −786.959 | + | 522.129i | −1.02202 | + | 0.678090i | ||||
\(771\) | 131.018 | + | 636.800i | 0.169932 | + | 0.825940i | ||||
\(772\) | 888.603 | − | 1223.06i | 1.15104 | − | 1.58427i | ||||
\(773\) | 205.296 | − | 631.836i | 0.265583 | − | 0.817381i | −0.725975 | − | 0.687721i | \(-0.758611\pi\) |
0.991558 | − | 0.129660i | \(-0.0413887\pi\) | |||||||
\(774\) | −524.621 | + | 48.2254i | −0.677805 | + | 0.0623067i | ||||
\(775\) | 361.630 | + | 30.8327i | 0.466620 | + | 0.0397841i | ||||
\(776\) | − | 4448.00i | − | 5.73195i | ||||||
\(777\) | 172.474 | − | 98.0828i | 0.221975 | − | 0.126233i | ||||
\(778\) | −4.93947 | + | 6.79860i | −0.00634894 | + | 0.00873856i | ||||
\(779\) | 5.10212 | − | 7.02247i | 0.00654958 | − | 0.00901472i | ||||
\(780\) | 457.437 | + | 231.174i | 0.586458 | + | 0.296377i | ||||
\(781\) | −1445.87 | + | 1050.49i | −1.85130 | + | 1.34505i | ||||
\(782\) | 279.043 | 0.356833 | ||||||||
\(783\) | −14.6868 | − | 0.287603i | −0.0187571 | − | 0.000367309i | ||||
\(784\) | 557.464 | + | 1715.70i | 0.711051 | + | 2.18839i | ||||
\(785\) | 347.026 | + | 129.310i | 0.442071 | + | 0.164726i | ||||
\(786\) | −684.519 | − | 1203.70i | −0.870890 | − | 1.53142i | ||||
\(787\) | −1369.62 | + | 445.018i | −1.74031 | + | 0.565461i | −0.994874 | − | 0.101118i | \(-0.967758\pi\) |
−0.745435 | + | 0.666579i | \(0.767758\pi\) | |||||||
\(788\) | 940.614 | + | 2894.91i | 1.19367 | + | 3.67375i | ||||
\(789\) | 82.6493 | − | 47.0011i | 0.104752 | − | 0.0595704i | ||||
\(790\) | 94.9971 | + | 341.083i | 0.120250 | + | 0.431751i | ||||
\(791\) | 398.262 | − | 129.403i | 0.503492 | − | 0.163594i | ||||
\(792\) | 2316.67 | − | 2031.81i | 2.92508 | − | 2.56542i | ||||
\(793\) | 8.10241i | 0.0102174i | ||||||||
\(794\) | 939.849 | + | 1293.59i | 1.18369 | + | 1.62921i | ||||
\(795\) | −764.063 | − | 759.028i | −0.961086 | − | 0.954752i | ||||
\(796\) | −702.673 | − | 510.522i | −0.882755 | − | 0.641359i | ||||
\(797\) | 340.089 | + | 247.089i | 0.426712 | + | 0.310024i | 0.780333 | − | 0.625365i | \(-0.215050\pi\) |
−0.353621 | + | 0.935389i | \(0.615050\pi\) | |||||||
\(798\) | −4.81455 | − | 8.46618i | −0.00603328 | − | 0.0106093i | ||||
\(799\) | 555.520 | 0.695268 | ||||||||
\(800\) | 1691.13 | + | 1463.53i | 2.11392 | + | 1.82941i | ||||
\(801\) | 739.293 | − | 67.9588i | 0.922962 | − | 0.0848425i | ||||
\(802\) | −2104.00 | − | 683.633i | −2.62345 | − | 0.852410i | ||||
\(803\) | −1410.68 | − | 1024.92i | −1.75676 | − | 1.27636i | ||||
\(804\) | 1902.08 | − | 391.342i | 2.36577 | − | 0.486743i | ||||
\(805\) | −32.6369 | + | 41.1235i | −0.0405427 | + | 0.0510851i | ||||
\(806\) | −107.064 | − | 147.361i | −0.132834 | − | 0.182830i | ||||
\(807\) | −449.956 | + | 493.215i | −0.557566 | + | 0.611171i | ||||
\(808\) | 964.393 | + | 1327.37i | 1.19356 | + | 1.64279i | ||||
\(809\) | 554.210 | − | 180.074i | 0.685056 | − | 0.222588i | 0.0542483 | − | 0.998527i | \(-0.482724\pi\) |
0.630807 | + | 0.775939i | \(0.282724\pi\) | |||||||
\(810\) | 1516.23 | − | 214.917i | 1.87189 | − | 0.265329i | ||||
\(811\) | 364.758 | − | 1122.61i | 0.449763 | − | 1.38423i | −0.427411 | − | 0.904057i | \(-0.640574\pi\) |
0.877175 | − | 0.480172i | \(-0.159426\pi\) | |||||||
\(812\) | −6.01475 | − | 18.5115i | −0.00740732 | − | 0.0227974i | ||||
\(813\) | 426.248 | − | 940.796i | 0.524291 | − | 1.15719i | ||||
\(814\) | −319.828 | + | 984.328i | −0.392909 | + | 1.20925i | ||||
\(815\) | 18.8019 | − | 441.846i | 0.0230698 | − | 0.542143i | ||||
\(816\) | 1476.74 | − | 3259.38i | 1.80972 | − | 3.99434i | ||||
\(817\) | −2.24877 | − | 3.09517i | −0.00275248 | − | 0.00378846i | ||||
\(818\) | 466.155 | 0.569872 | ||||||||
\(819\) | 68.4110 | + | 78.0020i | 0.0835299 | + | 0.0952405i | ||||
\(820\) | −1124.23 | + | 1416.56i | −1.37101 | + | 1.72751i | ||||
\(821\) | −683.305 | + | 940.488i | −0.832283 | + | 1.14554i | 0.155210 | + | 0.987881i | \(0.450394\pi\) |
−0.987494 | + | 0.157658i | \(0.949606\pi\) | |||||||
\(822\) | 323.347 | + | 1571.59i | 0.393366 | + | 1.91192i | ||||
\(823\) | −501.501 | − | 162.947i | −0.609357 | − | 0.197992i | −0.0119478 | − | 0.999929i | \(-0.503803\pi\) |
−0.597409 | + | 0.801937i | \(0.703803\pi\) | |||||||
\(824\) | − | 1015.41i | − | 1.23229i | ||||||
\(825\) | 791.840 | − | 732.041i | 0.959806 | − | 0.887322i | ||||
\(826\) | −766.221 | −0.927628 | ||||||||
\(827\) | 281.935 | − | 867.705i | 0.340912 | − | 1.04922i | −0.622823 | − | 0.782362i | \(-0.714015\pi\) |
0.963736 | − | 0.266858i | \(-0.0859855\pi\) | |||||||
\(828\) | 143.205 | − | 240.726i | 0.172953 | − | 0.290732i | ||||
\(829\) | −892.200 | − | 648.221i | −1.07624 | − | 0.781931i | −0.0992131 | − | 0.995066i | \(-0.531633\pi\) |
−0.977023 | + | 0.213135i | \(0.931633\pi\) | |||||||
\(830\) | 528.774 | + | 22.5009i | 0.637077 | + | 0.0271095i | ||||
\(831\) | 8.28059 | − | 74.1274i | 0.00996461 | − | 0.0892026i | ||||
\(832\) | − | 474.058i | − | 0.569781i | ||||||
\(833\) | 729.521 | − | 530.028i | 0.875776 | − | 0.636288i | ||||
\(834\) | −904.170 | + | 1995.64i | −1.08414 | + | 2.39286i | ||||
\(835\) | −290.826 | − | 1044.20i | −0.348294 | − | 1.25054i | ||||
\(836\) | 34.7997 | + | 11.3071i | 0.0416264 | + | 0.0135252i | ||||
\(837\) | −370.350 | − | 128.403i | −0.442473 | − | 0.153409i | ||||
\(838\) | −1925.09 | + | 625.500i | −2.29725 | + | 0.746420i | ||||
\(839\) | 497.078 | + | 161.511i | 0.592465 | + | 0.192504i | 0.589877 | − | 0.807493i | \(-0.299176\pi\) |
0.00258806 | + | 0.999997i | \(0.499176\pi\) | |||||||
\(840\) | 567.021 | + | 1103.81i | 0.675025 | + | 1.31405i | ||||
\(841\) | 259.792 | + | 799.557i | 0.308908 | + | 0.950722i | ||||
\(842\) | 1328.82 | − | 965.447i | 1.57818 | − | 1.14661i | ||||
\(843\) | −378.772 | + | 415.188i | −0.449315 | + | 0.492512i | ||||
\(844\) | 2081.11 | − | 1512.02i | 2.46577 | − | 1.79149i | ||||
\(845\) | 211.946 | + | 760.985i | 0.250824 | + | 0.900574i | ||||
\(846\) | 395.835 | − | 665.394i | 0.467890 | − | 0.786518i | ||||
\(847\) | 175.082 | − | 240.979i | 0.206708 | − | 0.284509i | ||||
\(848\) | −1083.83 | + | 3335.68i | −1.27810 | + | 3.93358i | ||||
\(849\) | 140.515 | − | 154.024i | 0.165506 | − | 0.181418i | ||||
\(850\) | 897.181 | − | 2126.69i | 1.05551 | − | 2.50199i | ||||
\(851\) | 57.5352i | 0.0676089i | ||||||||
\(852\) | 1898.19 | + | 3337.89i | 2.22792 | + | 3.91771i | ||||
\(853\) | 110.212 | − | 151.693i | 0.129205 | − | 0.177835i | −0.739513 | − | 0.673142i | \(-0.764944\pi\) |
0.868718 | + | 0.495307i | \(0.164944\pi\) | |||||||
\(854\) | −18.8547 | + | 25.9513i | −0.0220781 | + | 0.0303879i | ||||
\(855\) | 6.97073 | + | 8.66505i | 0.00815290 | + | 0.0101346i | ||||
\(856\) | −388.886 | + | 282.542i | −0.454306 | + | 0.330073i | ||||
\(857\) | −1595.33 | −1.86153 | −0.930767 | − | 0.365613i | \(-0.880860\pi\) | ||||
−0.930767 | + | 0.365613i | \(0.880860\pi\) | |||||||
\(858\) | −537.855 | − | 60.0825i | −0.626871 | − | 0.0700262i | ||||
\(859\) | −283.239 | − | 871.721i | −0.329732 | − | 1.01481i | −0.969259 | − | 0.246041i | \(-0.920870\pi\) |
0.639528 | − | 0.768768i | \(-0.279130\pi\) | |||||||
\(860\) | 440.674 | + | 664.189i | 0.512412 | + | 0.772312i | ||||
\(861\) | −318.226 | + | 180.969i | −0.369600 | + | 0.210185i | ||||
\(862\) | 2802.23 | − | 910.500i | 3.25085 | − | 1.05626i | ||||
\(863\) | −183.397 | − | 564.439i | −0.212511 | − | 0.654043i | −0.999321 | − | 0.0368468i | \(-0.988269\pi\) |
0.786810 | − | 0.617196i | \(-0.211731\pi\) | |||||||
\(864\) | −1381.20 | − | 1981.52i | −1.59862 | − | 2.29342i | ||||
\(865\) | −986.194 | − | 782.675i | −1.14011 | − | 0.904827i | ||||
\(866\) | 315.345 | − | 102.462i | 0.364140 | − | 0.118316i | ||||
\(867\) | −915.947 | − | 102.318i | −1.05646 | − | 0.118014i | ||||
\(868\) | − | 519.380i | − | 0.598364i | ||||||
\(869\) | −158.274 | − | 217.846i | −0.182134 | − | 0.250686i | ||||
\(870\) | 14.1001 | + | 27.4483i | 0.0162070 | + | 0.0315498i | ||||
\(871\) | −168.745 | − | 122.601i | −0.193737 | − | 0.140758i | ||||
\(872\) | −1839.52 | − | 1336.49i | −2.10954 | − | 1.53267i | ||||
\(873\) | −370.965 | + | 1639.71i | −0.424931 | + | 1.87825i | ||||
\(874\) | 2.82421 | 0.00323136 | ||||||||
\(875\) | 208.483 | + | 380.958i | 0.238266 | + | 0.435381i | ||||
\(876\) | −2524.96 | + | 2767.71i | −2.88238 | + | 3.15949i | ||||
\(877\) | 716.379 | + | 232.766i | 0.816852 | + | 0.265411i | 0.687497 | − | 0.726187i | \(-0.258709\pi\) |
0.129355 | + | 0.991598i | \(0.458709\pi\) | |||||||
\(878\) | −1077.75 | − | 783.034i | −1.22751 | − | 0.891839i | ||||
\(879\) | −181.581 | − | 882.558i | −0.206577 | − | 1.00405i | ||||
\(880\) | −3290.80 | − | 1226.23i | −3.73955 | − | 1.39345i | ||||
\(881\) | 560.773 | + | 771.838i | 0.636519 | + | 0.876093i | 0.998424 | − | 0.0561217i | \(-0.0178735\pi\) |
−0.361905 | + | 0.932215i | \(0.617873\pi\) | |||||||
\(882\) | −115.041 | − | 1251.48i | −0.130432 | − | 1.41891i | ||||
\(883\) | 325.191 | + | 447.586i | 0.368279 | + | 0.506893i | 0.952432 | − | 0.304751i | \(-0.0985732\pi\) |
−0.584153 | + | 0.811644i | \(0.698573\pi\) | |||||||
\(884\) | −793.484 | + | 257.819i | −0.897607 | + | 0.291650i | ||||
\(885\) | 863.676 | − | 139.721i | 0.975905 | − | 0.157877i | ||||
\(886\) | 241.509 | − | 743.287i | 0.272583 | − | 0.838925i | ||||
\(887\) | −434.986 | − | 1338.75i | −0.490401 | − | 1.50930i | −0.824003 | − | 0.566586i | \(-0.808264\pi\) |
0.333601 | − | 0.942714i | \(-0.391736\pi\) | |||||||
\(888\) | 1238.72 | + | 561.229i | 1.39495 | + | 0.632015i | ||||
\(889\) | −248.644 | + | 765.247i | −0.279689 | + | 0.860795i | ||||
\(890\) | −862.216 | − | 1299.54i | −0.968782 | − | 1.46016i | ||||
\(891\) | −1023.47 | + | 555.796i | −1.14868 | + | 0.623789i | ||||
\(892\) | 1165.25 | + | 1603.82i | 1.30633 | + | 1.79801i | ||||
\(893\) | 5.62244 | 0.00629613 | ||||||||
\(894\) | −195.651 | + | 1751.46i | −0.218849 | + | 1.95913i | ||||
\(895\) | −47.5085 | − | 71.6054i | −0.0530822 | − | 0.0800060i | ||||
\(896\) | 372.425 | − | 512.599i | 0.415653 | − | 0.572097i | ||||
\(897\) | −29.4683 | + | 6.06295i | −0.0328521 | + | 0.00675914i | ||||
\(898\) | −2891.25 | − | 939.425i | −3.21966 | − | 1.04613i | ||||
\(899\) | − | 7.89852i | − | 0.00878589i | ||||||
\(900\) | −1374.23 | − | 1865.40i | −1.52692 | − | 2.07267i | ||||
\(901\) | 1753.17 | 1.94580 | ||||||||
\(902\) | 590.102 | − | 1816.15i | 0.654215 | − | 2.01347i | ||||
\(903\) | 32.5163 | + | 158.042i | 0.0360092 | + | 0.175019i | ||||
\(904\) | 2322.02 | + | 1687.05i | 2.56861 | + | 1.86620i | ||||
\(905\) | −256.242 | − | 920.026i | −0.283140 | − | 1.01660i | ||||
\(906\) | 2043.63 | + | 228.288i | 2.25566 | + | 0.251974i | ||||
\(907\) | 1303.55i | 1.43721i | 0.695421 | + | 0.718603i | \(0.255218\pi\) | ||||
−0.695421 | + | 0.718603i | \(0.744782\pi\) | |||||||
\(908\) | 1325.40 | − | 962.961i | 1.45969 | − | 1.06053i | ||||
\(909\) | −244.810 | − | 569.754i | −0.269318 | − | 0.626792i | ||||
\(910\) | 76.1011 | − | 204.230i | 0.0836276 | − | 0.224428i | ||||
\(911\) | 532.837 | + | 173.129i | 0.584893 | + | 0.190043i | 0.586491 | − | 0.809956i | \(-0.300509\pi\) |
−0.00159854 | + | 0.999999i | \(0.500509\pi\) | |||||||
\(912\) | 14.9461 | − | 32.9884i | 0.0163883 | − | 0.0361715i | ||||
\(913\) | −382.805 | + | 124.381i | −0.419283 | + | 0.136233i | ||||
\(914\) | 2291.13 | + | 744.432i | 2.50670 | + | 0.814477i | ||||
\(915\) | 16.5206 | − | 32.6902i | 0.0180553 | − | 0.0357270i | ||||
\(916\) | 358.911 | + | 1104.61i | 0.391824 | + | 1.20591i | ||||
\(917\) | −343.101 | + | 249.278i | −0.374156 | + | 0.271841i | ||||
\(918\) | −1504.46 | + | 1987.68i | −1.63885 | + | 2.16523i | ||||
\(919\) | −81.9631 | + | 59.5496i | −0.0891872 | + | 0.0647983i | −0.631485 | − | 0.775388i | \(-0.717554\pi\) |
0.542298 | + | 0.840186i | \(0.317554\pi\) | |||||||
\(920\) | −359.515 | − | 15.2984i | −0.390778 | − | 0.0166287i | ||||
\(921\) | 477.199 | − | 98.1811i | 0.518132 | − | 0.106603i | ||||
\(922\) | 823.136 | − | 1132.95i | 0.892772 | − | 1.22880i | ||||
\(923\) | 127.451 | − | 392.253i | 0.138083 | − | 0.424976i | ||||
\(924\) | −1140.04 | − | 1040.05i | −1.23381 | − | 1.12560i | ||||
\(925\) | 438.497 | + | 184.987i | 0.474051 | + | 0.199986i | ||||
\(926\) | 861.292i | 0.930121i | ||||||||
\(927\) | −84.6854 | + | 374.319i | −0.0913543 | + | 0.403797i | ||||
\(928\) | 28.6082 | − | 39.3759i | 0.0308278 | − | 0.0424309i | ||||
\(929\) | −250.564 | + | 344.871i | −0.269713 | + | 0.371228i | −0.922293 | − | 0.386492i | \(-0.873687\pi\) |
0.652580 | + | 0.757720i | \(0.273687\pi\) | |||||||
\(930\) | 131.499 | + | 812.849i | 0.141396 | + | 0.874031i | ||||
\(931\) | 7.38352 | − | 5.36444i | 0.00793074 | − | 0.00576202i | ||||
\(932\) | 967.933 | 1.03855 | ||||||||
\(933\) | 75.6654 | − | 677.352i | 0.0810990 | − | 0.725994i | ||||
\(934\) | 553.140 | + | 1702.39i | 0.592227 | + | 1.82269i | ||||
\(935\) | −74.6306 | + | 1753.83i | −0.0798189 | + | 1.87575i | ||||
\(936\) | −156.916 | + | 693.588i | −0.167645 | + | 0.741013i | ||||
\(937\) | 114.713 | − | 37.2726i | 0.122426 | − | 0.0397786i | −0.247163 | − | 0.968974i | \(-0.579498\pi\) |
0.369589 | + | 0.929195i | \(0.379498\pi\) | |||||||
\(938\) | −255.178 | − | 785.358i | −0.272045 | − | 0.837268i | ||||
\(939\) | −251.578 | − | 442.388i | −0.267921 | − | 0.471127i | ||||
\(940\) | −1170.33 | − | 49.8010i | −1.24503 | − | 0.0529798i | ||||
\(941\) | −601.991 | + | 195.599i | −0.639735 | + | 0.207863i | −0.610883 | − | 0.791721i | \(-0.709185\pi\) |
−0.0288526 | + | 0.999584i | \(0.509185\pi\) | |||||||
\(942\) | −93.2752 | + | 834.994i | −0.0990182 | + | 0.886406i | ||||
\(943\) | − | 106.156i | − | 0.112573i | ||||||
\(944\) | −1674.73 | − | 2305.06i | −1.77407 | − | 2.44180i | ||||
\(945\) | −116.969 | − | 454.197i | −0.123777 | − | 0.480631i | ||||
\(946\) | −680.922 | − | 494.719i | −0.719790 | − | 0.522958i | ||||
\(947\) | 433.688 | + | 315.093i | 0.457960 | + | 0.332727i | 0.792730 | − | 0.609572i | \(-0.208659\pi\) |
−0.334771 | + | 0.942300i | \(0.608659\pi\) | |||||||
\(948\) | −502.912 | + | 285.996i | −0.530498 | + | 0.301684i | ||||
\(949\) | 402.402 | 0.424027 | ||||||||
\(950\) | 9.08041 | − | 21.5243i | 0.00955833 | − | 0.0226572i | ||||
\(951\) | −970.154 | − | 885.064i | −1.02014 | − | 0.930667i | ||||
\(952\) | −1921.16 | − | 624.221i | −2.01802 | − | 0.655695i | ||||
\(953\) | 865.028 | + | 628.480i | 0.907689 | + | 0.659475i | 0.940429 | − | 0.339989i | \(-0.110423\pi\) |
−0.0327402 | + | 0.999464i | \(0.510423\pi\) | |||||||
\(954\) | 1249.22 | − | 2099.92i | 1.30945 | − | 2.20118i | ||||
\(955\) | −42.1469 | + | 990.457i | −0.0441328 | + | 1.03713i | ||||
\(956\) | −1591.11 | − | 2189.98i | −1.66434 | − | 2.29077i | ||||
\(957\) | −17.3373 | − | 15.8167i | −0.0181163 | − | 0.0165274i | ||||
\(958\) | −1850.21 | − | 2546.59i | −1.93133 | − | 2.65824i | ||||
\(959\) | 467.361 | − | 151.855i | 0.487342 | − | 0.158347i | ||||
\(960\) | −966.590 | + | 1912.65i | −1.00686 | + | 1.99234i | ||||
\(961\) | −231.836 | + | 713.517i | −0.241244 | + | 0.742474i | ||||
\(962\) | −73.8082 | − | 227.158i | −0.0767237 | − | 0.236131i | ||||
\(963\) | 166.923 | − | 71.7231i | 0.173337 | − | 0.0744788i | ||||
\(964\) | 362.279 | − | 1114.98i | 0.375808 | − | 1.15662i | ||||
\(965\) | 687.849 | + | 256.309i | 0.712797 | + | 0.265606i | ||||
\(966\) | −108.493 | − | 49.1552i | −0.112312 | − | 0.0508853i | ||||
\(967\) | −776.950 | − | 1069.38i | −0.803464 | − | 1.10587i | −0.992299 | − | 0.123864i | \(-0.960471\pi\) |
0.188835 | − | 0.982009i | \(-0.439529\pi\) | |||||||
\(968\) | 2041.59 | 2.10908 | ||||||||
\(969\) | −17.9911 | − | 2.00974i | −0.0185666 | − | 0.00207403i | ||||
\(970\) | 3402.05 | − | 947.526i | 3.50727 | − | 0.976831i | ||||
\(971\) | 495.031 | − | 681.351i | 0.509815 | − | 0.701700i | −0.474073 | − | 0.880486i | \(-0.657217\pi\) |
0.983888 | + | 0.178785i | \(0.0572167\pi\) | |||||||
\(972\) | 942.650 | + | 2317.95i | 0.969805 | + | 2.38473i | ||||
\(973\) | 638.168 | + | 207.353i | 0.655876 | + | 0.213107i | ||||
\(974\) | 1612.38i | 1.65542i | ||||||||
\(975\) | −48.5387 | + | 244.083i | −0.0497833 | + | 0.250341i | ||||
\(976\) | −119.281 | −0.122214 | ||||||||
\(977\) | −207.131 | + | 637.483i | −0.212007 | + | 0.652490i | 0.787346 | + | 0.616512i | \(0.211455\pi\) |
−0.999353 | + | 0.0359782i | \(0.988545\pi\) | |||||||
\(978\) | 982.750 | − | 202.195i | 1.00486 | − | 0.206744i | ||||
\(979\) | 959.550 | + | 697.154i | 0.980133 | + | 0.712108i | ||||
\(980\) | −1584.42 | + | 1051.23i | −1.61676 | + | 1.07268i | ||||
\(981\) | 566.658 | + | 646.101i | 0.577633 | + | 0.658615i | ||||
\(982\) | 1244.38i | 1.26719i | ||||||||
\(983\) | 602.314 | − | 437.606i | 0.612730 | − | 0.445174i | −0.237645 | − | 0.971352i | \(-0.576375\pi\) |
0.850375 | + | 0.526178i | \(0.176375\pi\) | |||||||
\(984\) | −2285.52 | − | 1035.50i | −2.32268 | − | 1.05234i | ||||
\(985\) | −1231.56 | + | 817.110i | −1.25031 | + | 0.829553i | ||||
\(986\) | −47.7734 | − | 15.5225i | −0.0484517 | − | 0.0157429i | ||||
\(987\) | −215.988 | − | 97.8583i | −0.218833 | − | 0.0991472i | ||||
\(988\) | −8.03089 | + | 2.60940i | −0.00812844 | + | 0.00264109i | ||||
\(989\) | −44.4986 | − | 14.4585i | −0.0449935 | − | 0.0146193i | ||||
\(990\) | 2047.54 | + | 1339.08i | 2.06822 | + | 1.35261i | ||||
\(991\) | 498.027 | + | 1532.77i | 0.502550 | + | 1.54669i | 0.804850 | + | 0.593478i | \(0.202246\pi\) |
−0.302300 | + | 0.953213i | \(0.597754\pi\) | |||||||
\(992\) | 1050.70 | − | 763.381i | 1.05918 | − | 0.769537i | ||||
\(993\) | −51.7182 | − | 47.1821i | −0.0520827 | − | 0.0475147i | ||||
\(994\) | 1321.01 | − | 959.767i | 1.32898 | − | 0.965560i | ||||
\(995\) | 147.255 | − | 395.184i | 0.147995 | − | 0.397170i | ||||
\(996\) | 174.278 | + | 847.060i | 0.174978 | + | 0.850461i | ||||
\(997\) | −800.197 | + | 1101.38i | −0.802605 | + | 1.10469i | 0.189818 | + | 0.981819i | \(0.439210\pi\) |
−0.992423 | + | 0.122871i | \(0.960790\pi\) | |||||||
\(998\) | −48.0170 | + | 147.781i | −0.0481133 | + | 0.148077i | ||||
\(999\) | −409.835 | − | 310.201i | −0.410245 | − | 0.310512i |
(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 | 75.3.h.a.29.1 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.29.18 | yes | 72 | |
5.2 | odd | 4 | 375.3.j.b.101.1 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.101.36 | 144 | |||
5.4 | even | 2 | 375.3.h.a.149.18 | 72 | |||
15.2 | even | 4 | 375.3.j.b.101.35 | 144 | |||
15.8 | even | 4 | 375.3.j.b.101.2 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.149.1 | 72 | |||
25.6 | even | 5 | 375.3.h.a.224.1 | 72 | |||
25.8 | odd | 20 | 375.3.j.b.26.2 | 144 | |||
25.17 | odd | 20 | 375.3.j.b.26.35 | 144 | |||
25.19 | even | 10 | inner | 75.3.h.a.44.18 | yes | 72 | |
75.8 | even | 20 | 375.3.j.b.26.36 | 144 | |||
75.17 | even | 20 | 375.3.j.b.26.1 | 144 | |||
75.44 | odd | 10 | inner | 75.3.h.a.44.1 | yes | 72 | |
75.56 | odd | 10 | 375.3.h.a.224.18 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.29.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.29.18 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.44.1 | yes | 72 | 75.44 | odd | 10 | inner | |
75.3.h.a.44.18 | yes | 72 | 25.19 | even | 10 | inner | |
375.3.h.a.149.1 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.149.18 | 72 | 5.4 | even | 2 | |||
375.3.h.a.224.1 | 72 | 25.6 | even | 5 | |||
375.3.h.a.224.18 | 72 | 75.56 | odd | 10 | |||
375.3.j.b.26.1 | 144 | 75.17 | even | 20 | |||
375.3.j.b.26.2 | 144 | 25.8 | odd | 20 | |||
375.3.j.b.26.35 | 144 | 25.17 | odd | 20 | |||
375.3.j.b.26.36 | 144 | 75.8 | even | 20 | |||
375.3.j.b.101.1 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.101.2 | 144 | 15.8 | even | 4 | |||
375.3.j.b.101.35 | 144 | 15.2 | even | 4 | |||
375.3.j.b.101.36 | 144 | 5.3 | odd | 4 |