Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.10 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.10 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.22328 | − | 2.73927i | 0.407761 | − | 0.913089i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 4.98956 | − | 0.322873i | 0.997913 | − | 0.0645746i | ||||
\(6\) | 2.67368 | − | 3.29415i | 0.445613 | − | 0.549026i | ||||
\(7\) | −4.85698 | − | 5.04081i | −0.693855 | − | 0.720115i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −6.00715 | − | 6.70180i | −0.667461 | − | 0.744645i | ||||
\(10\) | 6.93405 | + | 1.38525i | 0.693405 | + | 0.138525i | ||||
\(11\) | 17.0019 | + | 9.81605i | 1.54563 | + | 0.892369i | 0.998468 | + | 0.0553407i | \(0.0176245\pi\) |
0.547160 | + | 0.837028i | \(0.315709\pi\) | |||||||
\(12\) | 4.85806 | − | 3.52126i | 0.404838 | − | 0.293439i | ||||
\(13\) | −7.73283 | − | 7.73283i | −0.594833 | − | 0.594833i | 0.344100 | − | 0.938933i | \(-0.388184\pi\) |
−0.938933 | + | 0.344100i | \(0.888184\pi\) | |||||||
\(14\) | −4.78970 | − | 8.66365i | −0.342121 | − | 0.618832i | ||||
\(15\) | 5.21922 | − | 14.0627i | 0.347948 | − | 0.937514i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −12.2729 | + | 3.28852i | −0.721936 | + | 0.193442i | −0.601035 | − | 0.799223i | \(-0.705245\pi\) |
−0.120901 | + | 0.992665i | \(0.538578\pi\) | |||||||
\(18\) | −5.75289 | − | 11.3536i | −0.319605 | − | 0.630756i | ||||
\(19\) | 0.306444 | + | 0.530777i | 0.0161286 | + | 0.0279356i | 0.873977 | − | 0.485967i | \(-0.161533\pi\) |
−0.857848 | + | 0.513903i | \(0.828199\pi\) | |||||||
\(20\) | 8.96505 | + | 4.43033i | 0.448253 | + | 0.221517i | ||||
\(21\) | −19.7496 | + | 7.13822i | −0.940456 | + | 0.339915i | ||||
\(22\) | 19.6321 | + | 19.6321i | 0.892369 | + | 0.892369i | ||||
\(23\) | −3.26736 | + | 12.1940i | −0.142059 | + | 0.530172i | 0.857810 | + | 0.513968i | \(0.171825\pi\) |
−0.999869 | + | 0.0162043i | \(0.994842\pi\) | |||||||
\(24\) | 7.92510 | − | 3.03196i | 0.330212 | − | 0.126332i | ||||
\(25\) | 24.7915 | − | 3.22199i | 0.991660 | − | 0.128880i | ||||
\(26\) | −7.73283 | − | 13.3937i | −0.297416 | − | 0.515140i | ||||
\(27\) | −25.7065 | + | 8.25698i | −0.952091 | + | 0.305814i | ||||
\(28\) | −3.37173 | − | 13.5879i | −0.120419 | − | 0.485283i | ||||
\(29\) | 29.8506 | 1.02933 | 0.514666 | − | 0.857391i | \(-0.327916\pi\) | ||||
0.514666 | + | 0.857391i | \(0.327916\pi\) | |||||||
\(30\) | 12.2769 | − | 17.2996i | 0.409230 | − | 0.576655i | ||||
\(31\) | −17.4831 | − | 10.0939i | −0.563972 | − | 0.325610i | 0.190766 | − | 0.981636i | \(-0.438903\pi\) |
−0.754738 | + | 0.656026i | \(0.772236\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 47.6869 | − | 34.5649i | 1.44506 | − | 1.04742i | ||||
\(34\) | −17.9688 | −0.528494 | ||||||||
\(35\) | −25.8618 | − | 23.5832i | −0.738908 | − | 0.673807i | ||||
\(36\) | −3.70289 | − | 17.6150i | −0.102858 | − | 0.489306i | ||||
\(37\) | −3.54563 | + | 13.2325i | −0.0958278 | + | 0.357634i | −0.997144 | − | 0.0755282i | \(-0.975936\pi\) |
0.901316 | + | 0.433162i | \(0.142602\pi\) | |||||||
\(38\) | 0.224333 | + | 0.837221i | 0.00590349 | + | 0.0220321i | ||||
\(39\) | −30.6417 | + | 11.7228i | −0.785685 | + | 0.300585i | ||||
\(40\) | 10.6249 | + | 9.33338i | 0.265622 | + | 0.233335i | ||||
\(41\) | 75.0186 | 1.82972 | 0.914861 | − | 0.403768i | \(-0.132300\pi\) | ||||
0.914861 | + | 0.403768i | \(0.132300\pi\) | |||||||
\(42\) | −29.5912 | + | 2.52215i | −0.704552 | + | 0.0600512i | ||||
\(43\) | −46.7727 | + | 46.7727i | −1.08774 | + | 1.08774i | −0.0919759 | + | 0.995761i | \(0.529318\pi\) |
−0.995761 | + | 0.0919759i | \(0.970682\pi\) | |||||||
\(44\) | 19.6321 | + | 34.0038i | 0.446184 | + | 0.772814i | ||||
\(45\) | −32.1369 | − | 31.4995i | −0.714153 | − | 0.699989i | ||||
\(46\) | −8.92659 | + | 15.4613i | −0.194056 | + | 0.336116i | ||||
\(47\) | −13.4679 | + | 50.2630i | −0.286552 | + | 1.06942i | 0.661147 | + | 0.750257i | \(0.270070\pi\) |
−0.947698 | + | 0.319168i | \(0.896597\pi\) | |||||||
\(48\) | 11.9357 | − | 1.24095i | 0.248660 | − | 0.0258531i | ||||
\(49\) | −1.81945 | + | 48.9662i | −0.0371317 | + | 0.999310i | ||||
\(50\) | 35.0452 | + | 4.67300i | 0.700903 | + | 0.0934600i | ||||
\(51\) | −6.00514 | + | 37.6415i | −0.117748 | + | 0.738069i | ||||
\(52\) | −5.66082 | − | 21.1265i | −0.108862 | − | 0.406278i | ||||
\(53\) | −64.3636 | + | 17.2462i | −1.21441 | + | 0.325400i | −0.808490 | − | 0.588510i | \(-0.799715\pi\) |
−0.405918 | + | 0.913909i | \(0.633048\pi\) | |||||||
\(54\) | −38.1379 | + | 1.87002i | −0.706258 | + | 0.0346300i | ||||
\(55\) | 88.0014 | + | 43.4884i | 1.60003 | + | 0.790698i | ||||
\(56\) | 0.367649 | − | 19.7956i | 0.00656516 | − | 0.353492i | ||||
\(57\) | 1.82881 | − | 0.190141i | 0.0320843 | − | 0.00333580i | ||||
\(58\) | 40.7767 | + | 10.9261i | 0.703047 | + | 0.188381i | ||||
\(59\) | −64.0605 | − | 36.9854i | −1.08577 | − | 0.626871i | −0.153324 | − | 0.988176i | \(-0.548998\pi\) |
−0.932448 | + | 0.361305i | \(0.882331\pi\) | |||||||
\(60\) | 23.1027 | − | 19.1381i | 0.385044 | − | 0.318968i | ||||
\(61\) | −19.2793 | + | 11.1309i | −0.316055 | + | 0.182474i | −0.649633 | − | 0.760248i | \(-0.725077\pi\) |
0.333578 | + | 0.942723i | \(0.391744\pi\) | |||||||
\(62\) | −20.1878 | − | 20.1878i | −0.325610 | − | 0.325610i | ||||
\(63\) | −4.60585 | + | 62.8314i | −0.0731088 | + | 0.997324i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −41.0802 | − | 36.0867i | −0.632003 | − | 0.555180i | ||||
\(66\) | 77.7932 | − | 29.7619i | 1.17869 | − | 0.450938i | ||||
\(67\) | 8.82719 | − | 2.36524i | 0.131749 | − | 0.0353021i | −0.192342 | − | 0.981328i | \(-0.561608\pi\) |
0.324091 | + | 0.946026i | \(0.394942\pi\) | |||||||
\(68\) | −24.5458 | − | 6.57703i | −0.360968 | − | 0.0967210i | ||||
\(69\) | 29.4056 | + | 23.8668i | 0.426168 | + | 0.345896i | ||||
\(70\) | −26.6958 | − | 41.6814i | −0.381368 | − | 0.595448i | ||||
\(71\) | − | 4.20881i | − | 0.0592790i | −0.999561 | − | 0.0296395i | \(-0.990564\pi\) | ||
0.999561 | − | 0.0296395i | \(-0.00943592\pi\) | |||||||
\(72\) | 1.38930 | − | 25.4179i | 0.0192958 | − | 0.353026i | ||||
\(73\) | 22.9693 | − | 6.15460i | 0.314648 | − | 0.0843096i | −0.0980391 | − | 0.995183i | \(-0.531257\pi\) |
0.412687 | + | 0.910873i | \(0.364590\pi\) | |||||||
\(74\) | −9.68684 | + | 16.7781i | −0.130903 | + | 0.226731i | ||||
\(75\) | 21.5012 | − | 71.8519i | 0.286682 | − | 0.958026i | ||||
\(76\) | 1.22578i | 0.0161286i | ||||||||
\(77\) | −33.0971 | − | 133.380i | −0.429833 | − | 1.73220i | ||||
\(78\) | −46.1482 | + | 4.79803i | −0.591644 | + | 0.0615132i | ||||
\(79\) | −67.0631 | + | 38.7189i | −0.848900 | + | 0.490113i | −0.860280 | − | 0.509822i | \(-0.829711\pi\) |
0.0113794 | + | 0.999935i | \(0.496378\pi\) | |||||||
\(80\) | 11.0976 | + | 16.6386i | 0.138720 | + | 0.207983i | ||||
\(81\) | −8.82826 | + | 80.5175i | −0.108991 | + | 0.994043i | ||||
\(82\) | 102.477 | + | 27.4587i | 1.24972 | + | 0.334863i | ||||
\(83\) | −41.1330 | + | 41.1330i | −0.495579 | + | 0.495579i | −0.910059 | − | 0.414480i | \(-0.863964\pi\) |
0.414480 | + | 0.910059i | \(0.363964\pi\) | |||||||
\(84\) | −41.3455 | − | 7.38581i | −0.492208 | − | 0.0879263i | ||||
\(85\) | −60.1747 | + | 20.3709i | −0.707938 | + | 0.239657i | ||||
\(86\) | −81.0127 | + | 46.7727i | −0.942008 | + | 0.543869i | ||||
\(87\) | 36.5158 | − | 81.7688i | 0.419722 | − | 0.939871i | ||||
\(88\) | 14.3717 | + | 53.6359i | 0.163315 | + | 0.609499i | ||||
\(89\) | 1.42979 | − | 0.825490i | 0.0160651 | − | 0.00927517i | −0.491946 | − | 0.870626i | \(-0.663714\pi\) |
0.508011 | + | 0.861351i | \(0.330381\pi\) | |||||||
\(90\) | −32.3702 | − | 54.7921i | −0.359669 | − | 0.608801i | ||||
\(91\) | −1.42148 | + | 76.5379i | −0.0156207 | + | 0.841076i | ||||
\(92\) | −17.8532 | + | 17.8532i | −0.194056 | + | 0.194056i | ||||
\(93\) | −49.0367 | + | 35.5433i | −0.527276 | + | 0.382186i | ||||
\(94\) | −36.7950 | + | 63.7309i | −0.391437 | + | 0.677988i | ||||
\(95\) | 1.70040 | + | 2.54940i | 0.0178989 | + | 0.0268358i | ||||
\(96\) | 16.7586 | + | 2.67359i | 0.174569 | + | 0.0278499i | ||||
\(97\) | 92.5224 | − | 92.5224i | 0.953839 | − | 0.953839i | −0.0451414 | − | 0.998981i | \(-0.514374\pi\) |
0.998981 | + | 0.0451414i | \(0.0143738\pi\) | |||||||
\(98\) | −20.4083 | + | 66.2231i | −0.208248 | + | 0.675746i | ||||
\(99\) | −36.3478 | − | 172.910i | −0.367149 | − | 1.74656i | ||||
\(100\) | 46.1621 | + | 19.2109i | 0.461621 | + | 0.192109i | ||||
\(101\) | 51.1520 | − | 88.5979i | 0.506456 | − | 0.877207i | −0.493516 | − | 0.869737i | \(-0.664289\pi\) |
0.999972 | − | 0.00747054i | \(-0.00237797\pi\) | |||||||
\(102\) | −21.9809 | + | 49.2213i | −0.215499 | + | 0.482561i | ||||
\(103\) | 37.9157 | − | 141.503i | 0.368114 | − | 1.37382i | −0.495036 | − | 0.868872i | \(-0.664845\pi\) |
0.863150 | − | 0.504947i | \(-0.168488\pi\) | |||||||
\(104\) | − | 30.9313i | − | 0.297416i | ||||||
\(105\) | −96.2370 | + | 41.9932i | −0.916543 | + | 0.399936i | ||||
\(106\) | −94.2349 | −0.889009 | ||||||||
\(107\) | 58.5462 | + | 15.6874i | 0.547160 | + | 0.146611i | 0.521801 | − | 0.853067i | \(-0.325260\pi\) |
0.0253594 | + | 0.999678i | \(0.491927\pi\) | |||||||
\(108\) | −52.7819 | − | 11.4050i | −0.488721 | − | 0.105602i | ||||
\(109\) | 24.8552 | + | 14.3502i | 0.228029 | + | 0.131653i | 0.609663 | − | 0.792661i | \(-0.291305\pi\) |
−0.381633 | + | 0.924314i | \(0.624638\pi\) | |||||||
\(110\) | 104.294 | + | 91.6170i | 0.948130 | + | 0.832882i | ||||
\(111\) | 31.9099 | + | 25.8995i | 0.287477 | + | 0.233329i | ||||
\(112\) | 7.74790 | − | 26.9067i | 0.0691777 | − | 0.240238i | ||||
\(113\) | −14.6106 | − | 14.6106i | −0.129297 | − | 0.129297i | 0.639497 | − | 0.768794i | \(-0.279143\pi\) |
−0.768794 | + | 0.639497i | \(0.779143\pi\) | |||||||
\(114\) | 2.56779 | + | 0.409652i | 0.0225245 | + | 0.00359344i | ||||
\(115\) | −12.3656 | + | 61.8975i | −0.107527 | + | 0.538239i | ||||
\(116\) | 51.7028 | + | 29.8506i | 0.445714 | + | 0.257333i | ||||
\(117\) | −5.37160 | + | 98.2761i | −0.0459111 | + | 0.839967i | ||||
\(118\) | −73.9707 | − | 73.9707i | −0.626871 | − | 0.626871i | ||||
\(119\) | 76.1861 | + | 45.8931i | 0.640219 | + | 0.385656i | ||||
\(120\) | 38.5639 | − | 17.6870i | 0.321365 | − | 0.147391i | ||||
\(121\) | 132.210 | + | 228.994i | 1.09264 | + | 1.89251i | ||||
\(122\) | −30.4103 | + | 8.14841i | −0.249265 | + | 0.0667902i | ||||
\(123\) | 91.7691 | − | 205.496i | 0.746090 | − | 1.67070i | ||||
\(124\) | −20.1878 | − | 34.9663i | −0.162805 | − | 0.281986i | ||||
\(125\) | 122.659 | − | 24.0808i | 0.981268 | − | 0.192647i | ||||
\(126\) | −29.2896 | + | 84.1434i | −0.232457 | + | 0.667805i | ||||
\(127\) | −8.36779 | − | 8.36779i | −0.0658881 | − | 0.0658881i | 0.673395 | − | 0.739283i | \(-0.264835\pi\) |
−0.739283 | + | 0.673395i | \(0.764835\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 70.9065 | + | 185.339i | 0.549663 | + | 1.43674i | ||||
\(130\) | −42.9079 | − | 64.3318i | −0.330061 | − | 0.494860i | ||||
\(131\) | 84.5571 | + | 146.457i | 0.645474 | + | 1.11799i | 0.984192 | + | 0.177105i | \(0.0566733\pi\) |
−0.338718 | + | 0.940888i | \(0.609993\pi\) | |||||||
\(132\) | 117.161 | − | 12.1812i | 0.887584 | − | 0.0922821i | ||||
\(133\) | 1.18715 | − | 4.12270i | 0.00892593 | − | 0.0309977i | ||||
\(134\) | 12.9239 | 0.0964471 | ||||||||
\(135\) | −125.598 | + | 49.4986i | −0.930356 | + | 0.366657i | ||||
\(136\) | −31.1228 | − | 17.9688i | −0.228844 | − | 0.132123i | ||||
\(137\) | −64.7708 | − | 241.728i | −0.472780 | − | 1.76444i | −0.629713 | − | 0.776828i | \(-0.716827\pi\) |
0.156933 | − | 0.987609i | \(-0.449839\pi\) | |||||||
\(138\) | 31.4329 | + | 43.3659i | 0.227775 | + | 0.314246i | ||||
\(139\) | −229.593 | −1.65175 | −0.825875 | − | 0.563853i | \(-0.809318\pi\) | ||||
−0.825875 | + | 0.563853i | \(0.809318\pi\) | |||||||
\(140\) | −21.2107 | − | 66.7091i | −0.151505 | − | 0.476494i | ||||
\(141\) | 121.209 | + | 98.3781i | 0.859635 | + | 0.697717i | ||||
\(142\) | 1.54053 | − | 5.74934i | 0.0108488 | − | 0.0404883i | ||||
\(143\) | −55.5670 | − | 207.379i | −0.388580 | − | 1.45020i | ||||
\(144\) | 11.2014 | − | 34.2130i | 0.0777876 | − | 0.237590i | ||||
\(145\) | 148.942 | − | 9.63796i | 1.02718 | − | 0.0664687i | ||||
\(146\) | 33.6294 | 0.230338 | ||||||||
\(147\) | 131.906 | + | 64.8836i | 0.897318 | + | 0.441385i | ||||
\(148\) | −19.3737 | + | 19.3737i | −0.130903 | + | 0.130903i | ||||
\(149\) | −42.3960 | − | 73.4319i | −0.284537 | − | 0.492832i | 0.687960 | − | 0.725749i | \(-0.258506\pi\) |
−0.972497 | + | 0.232917i | \(0.925173\pi\) | |||||||
\(150\) | 55.6708 | − | 90.2816i | 0.371138 | − | 0.601877i | ||||
\(151\) | 139.651 | − | 241.882i | 0.924838 | − | 1.60187i | 0.133017 | − | 0.991114i | \(-0.457533\pi\) |
0.791821 | − | 0.610753i | \(-0.209133\pi\) | |||||||
\(152\) | −0.448665 | + | 1.67444i | −0.00295174 | + | 0.0110161i | ||||
\(153\) | 95.7642 | + | 62.4960i | 0.625910 | + | 0.408470i | ||||
\(154\) | 3.60886 | − | 194.314i | 0.0234342 | − | 1.26178i | ||||
\(155\) | −90.4923 | − | 44.7193i | −0.583821 | − | 0.288512i | ||||
\(156\) | −64.7958 | − | 10.3372i | −0.415358 | − | 0.0662641i | ||||
\(157\) | −66.9415 | − | 249.829i | −0.426379 | − | 1.59127i | −0.760894 | − | 0.648877i | \(-0.775239\pi\) |
0.334515 | − | 0.942390i | \(-0.391428\pi\) | |||||||
\(158\) | −105.782 | + | 28.3442i | −0.669507 | + | 0.179394i | ||||
\(159\) | −31.4931 | + | 197.406i | −0.198070 | + | 1.24155i | ||||
\(160\) | 9.06944 | + | 26.7908i | 0.0566840 | + | 0.167442i | ||||
\(161\) | 77.3369 | − | 42.7557i | 0.480353 | − | 0.265563i | ||||
\(162\) | −41.5311 | + | 106.758i | −0.256365 | + | 0.658997i | ||||
\(163\) | 18.3932 | + | 4.92845i | 0.112842 | + | 0.0302359i | 0.314798 | − | 0.949159i | \(-0.398063\pi\) |
−0.201956 | + | 0.979395i | \(0.564730\pi\) | |||||||
\(164\) | 129.936 | + | 75.0186i | 0.792293 | + | 0.457431i | ||||
\(165\) | 226.777 | − | 187.861i | 1.37441 | − | 1.13855i | ||||
\(166\) | −71.2445 | + | 41.1330i | −0.429184 | + | 0.247789i | ||||
\(167\) | 72.3691 | + | 72.3691i | 0.433348 | + | 0.433348i | 0.889766 | − | 0.456418i | \(-0.150868\pi\) |
−0.456418 | + | 0.889766i | \(0.650868\pi\) | |||||||
\(168\) | −53.7756 | − | 25.2227i | −0.320093 | − | 0.150135i | ||||
\(169\) | − | 49.4067i | − | 0.292348i | ||||||
\(170\) | −89.6564 | + | 5.80164i | −0.527391 | + | 0.0341273i | ||||
\(171\) | 1.71630 | − | 5.24218i | 0.0100369 | − | 0.0306560i | ||||
\(172\) | −127.785 | + | 34.2400i | −0.742938 | + | 0.199070i | ||||
\(173\) | 160.959 | + | 43.1289i | 0.930401 | + | 0.249300i | 0.692026 | − | 0.721873i | \(-0.256718\pi\) |
0.238375 | + | 0.971173i | \(0.423385\pi\) | |||||||
\(174\) | 79.8109 | − | 98.3325i | 0.458684 | − | 0.565129i | ||||
\(175\) | −136.653 | − | 109.320i | −0.780876 | − | 0.624686i | ||||
\(176\) | 78.5284i | 0.446184i | ||||||||
\(177\) | −179.677 | + | 130.235i | −1.01512 | + | 0.735792i | ||||
\(178\) | 2.25528 | − | 0.604300i | 0.0126701 | − | 0.00339495i | ||||
\(179\) | −35.9900 | + | 62.3366i | −0.201062 | + | 0.348249i | −0.948871 | − | 0.315665i | \(-0.897772\pi\) |
0.747809 | + | 0.663914i | \(0.231106\pi\) | |||||||
\(180\) | −24.1632 | − | 86.6957i | −0.134240 | − | 0.481643i | ||||
\(181\) | − | 134.777i | − | 0.744624i | −0.928108 | − | 0.372312i | \(-0.878565\pi\) | ||
0.928108 | − | 0.372312i | \(-0.121435\pi\) | |||||||
\(182\) | −29.9566 | + | 104.032i | −0.164597 | + | 0.571607i | ||||
\(183\) | 6.90647 | + | 66.4275i | 0.0377403 | + | 0.362992i | ||||
\(184\) | −30.9226 | + | 17.8532i | −0.168058 | + | 0.0970282i | ||||
\(185\) | −13.4187 | + | 67.1690i | −0.0725337 | + | 0.363076i | ||||
\(186\) | −79.9951 | + | 30.6043i | −0.430081 | + | 0.164539i | ||||
\(187\) | −240.943 | − | 64.5605i | −1.28847 | − | 0.345243i | ||||
\(188\) | −73.5901 | + | 73.5901i | −0.391437 | + | 0.391437i | ||||
\(189\) | 166.478 | + | 89.4773i | 0.880834 | + | 0.473425i | ||||
\(190\) | 1.38964 | + | 4.10493i | 0.00731388 | + | 0.0216049i | ||||
\(191\) | −161.123 | + | 93.0244i | −0.843575 | + | 0.487038i | −0.858478 | − | 0.512850i | \(-0.828590\pi\) |
0.0149025 | + | 0.999889i | \(0.495256\pi\) | |||||||
\(192\) | 21.9141 | + | 9.78627i | 0.114136 | + | 0.0509702i | ||||
\(193\) | 34.2952 | + | 127.992i | 0.177696 | + | 0.663169i | 0.996077 | + | 0.0884931i | \(0.0282051\pi\) |
−0.818381 | + | 0.574676i | \(0.805128\pi\) | |||||||
\(194\) | 160.253 | − | 92.5224i | 0.826049 | − | 0.476920i | ||||
\(195\) | −149.104 | + | 68.3852i | −0.764635 | + | 0.350693i | ||||
\(196\) | −52.1176 | + | 82.9925i | −0.265906 | + | 0.423431i | ||||
\(197\) | 193.225 | − | 193.225i | 0.980838 | − | 0.980838i | −0.0189815 | − | 0.999820i | \(-0.506042\pi\) |
0.999820 | + | 0.0189815i | \(0.00604235\pi\) | |||||||
\(198\) | 13.6374 | − | 249.504i | 0.0688759 | − | 1.26012i | ||||
\(199\) | 65.1380 | − | 112.822i | 0.327326 | − | 0.566946i | −0.654654 | − | 0.755929i | \(-0.727186\pi\) |
0.981980 | + | 0.188983i | \(0.0605190\pi\) | |||||||
\(200\) | 56.0270 | + | 43.1390i | 0.280135 | + | 0.215695i | ||||
\(201\) | 4.31915 | − | 27.0734i | 0.0214883 | − | 0.134693i | ||||
\(202\) | 102.304 | − | 102.304i | 0.506456 | − | 0.506456i | ||||
\(203\) | −144.984 | − | 150.471i | −0.714206 | − | 0.741237i | ||||
\(204\) | −48.0427 | + | 59.1919i | −0.235504 | + | 0.290156i | ||||
\(205\) | 374.310 | − | 24.2215i | 1.82590 | − | 0.118154i | ||||
\(206\) | 103.588 | − | 179.419i | 0.502853 | − | 0.870967i | ||||
\(207\) | 101.349 | − | 51.3537i | 0.489609 | − | 0.248086i | ||||
\(208\) | 11.3216 | − | 42.2530i | 0.0544310 | − | 0.203139i | ||||
\(209\) | 12.0323i | 0.0575707i | ||||||||
\(210\) | −146.833 | + | 22.1386i | −0.699204 | + | 0.105422i | ||||
\(211\) | 134.658 | 0.638191 | 0.319095 | − | 0.947723i | \(-0.396621\pi\) | ||||
0.319095 | + | 0.947723i | \(0.396621\pi\) | |||||||
\(212\) | −128.727 | − | 34.4924i | −0.607204 | − | 0.162700i | ||||
\(213\) | −11.5290 | − | 5.14857i | −0.0541270 | − | 0.0241717i | ||||
\(214\) | 74.2336 | + | 42.8588i | 0.346886 | + | 0.200275i | ||||
\(215\) | −218.274 | + | 248.477i | −1.01523 | + | 1.15571i | ||||
\(216\) | −67.9269 | − | 34.8990i | −0.314476 | − | 0.161569i | ||||
\(217\) | 34.0339 | + | 137.155i | 0.156838 | + | 0.632051i | ||||
\(218\) | 28.7003 | + | 28.7003i | 0.131653 | + | 0.131653i | ||||
\(219\) | 11.2389 | − | 70.4478i | 0.0513191 | − | 0.321679i | ||||
\(220\) | 108.935 | + | 163.326i | 0.495157 | + | 0.742389i | ||||
\(221\) | 120.334 | + | 69.4748i | 0.544497 | + | 0.314365i | ||||
\(222\) | 34.1099 | + | 47.0592i | 0.153648 | + | 0.211978i | ||||
\(223\) | −247.996 | − | 247.996i | −1.11209 | − | 1.11209i | −0.992867 | − | 0.119223i | \(-0.961960\pi\) |
−0.119223 | − | 0.992867i | \(-0.538040\pi\) | |||||||
\(224\) | 20.4324 | − | 33.9193i | 0.0912159 | − | 0.151425i | ||||
\(225\) | −170.519 | − | 146.793i | −0.757864 | − | 0.652412i | ||||
\(226\) | −14.6106 | − | 25.3063i | −0.0646486 | − | 0.111975i | ||||
\(227\) | 71.7681 | − | 19.2302i | 0.316159 | − | 0.0847146i | −0.0972500 | − | 0.995260i | \(-0.531005\pi\) |
0.413409 | + | 0.910545i | \(0.364338\pi\) | |||||||
\(228\) | 3.35773 | + | 1.49947i | 0.0147269 | + | 0.00657663i | ||||
\(229\) | 34.0586 | + | 58.9912i | 0.148727 | + | 0.257603i | 0.930757 | − | 0.365637i | \(-0.119149\pi\) |
−0.782030 | + | 0.623241i | \(0.785816\pi\) | |||||||
\(230\) | −39.5478 | + | 80.0274i | −0.171947 | + | 0.347945i | ||||
\(231\) | −405.850 | − | 72.4995i | −1.75692 | − | 0.313851i | ||||
\(232\) | 59.7012 | + | 59.7012i | 0.257333 | + | 0.257333i | ||||
\(233\) | −67.0823 | + | 250.355i | −0.287907 | + | 1.07448i | 0.658782 | + | 0.752334i | \(0.271072\pi\) |
−0.946689 | + | 0.322150i | \(0.895595\pi\) | |||||||
\(234\) | −43.3093 | + | 132.282i | −0.185083 | + | 0.565306i | ||||
\(235\) | −50.9705 | + | 255.139i | −0.216896 | + | 1.08570i | ||||
\(236\) | −73.9707 | − | 128.121i | −0.313435 | − | 0.542886i | ||||
\(237\) | 24.0241 | + | 231.068i | 0.101368 | + | 0.974970i | ||||
\(238\) | 87.2741 | + | 90.5772i | 0.366698 | + | 0.380576i | ||||
\(239\) | −33.1697 | −0.138785 | −0.0693927 | − | 0.997589i | \(-0.522106\pi\) | ||||
−0.0693927 | + | 0.997589i | \(0.522106\pi\) | |||||||
\(240\) | 59.1531 | − | 10.0455i | 0.246471 | − | 0.0418563i | ||||
\(241\) | −246.276 | − | 142.188i | −1.02189 | − | 0.589990i | −0.107242 | − | 0.994233i | \(-0.534202\pi\) |
−0.914652 | + | 0.404243i | \(0.867535\pi\) | |||||||
\(242\) | 96.7843 | + | 361.204i | 0.399935 | + | 1.49258i | ||||
\(243\) | 209.759 | + | 122.679i | 0.863207 | + | 0.504851i | ||||
\(244\) | −44.5237 | −0.182474 | ||||||||
\(245\) | 6.73158 | + | 244.908i | 0.0274759 | + | 0.999622i | ||||
\(246\) | 200.576 | − | 247.123i | 0.815348 | − | 1.00456i | ||||
\(247\) | 1.73473 | − | 6.47408i | 0.00702318 | − | 0.0262109i | ||||
\(248\) | −14.7785 | − | 55.1541i | −0.0595907 | − | 0.222395i | ||||
\(249\) | 62.3569 | + | 162.992i | 0.250429 | + | 0.654585i | ||||
\(250\) | 176.369 | + | 12.0011i | 0.705475 | + | 0.0480043i | ||||
\(251\) | −134.588 | −0.536205 | −0.268103 | − | 0.963390i | \(-0.586397\pi\) | ||||
−0.268103 | + | 0.963390i | \(0.586397\pi\) | |||||||
\(252\) | −70.8090 | + | 104.221i | −0.280988 | + | 0.413577i | ||||
\(253\) | −175.248 | + | 175.248i | −0.692679 | + | 0.692679i | ||||
\(254\) | −8.36779 | − | 14.4934i | −0.0329441 | − | 0.0570608i | ||||
\(255\) | −17.8096 | + | 189.754i | −0.0698415 | + | 0.744133i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 32.7685 | − | 122.294i | 0.127504 | − | 0.475852i | −0.872412 | − | 0.488770i | \(-0.837446\pi\) |
0.999917 | + | 0.0129187i | \(0.00411225\pi\) | |||||||
\(258\) | 29.0213 | + | 279.132i | 0.112486 | + | 1.08191i | ||||
\(259\) | 83.9234 | − | 46.3970i | 0.324028 | − | 0.179139i | ||||
\(260\) | −35.0662 | − | 103.584i | −0.134870 | − | 0.398401i | ||||
\(261\) | −179.317 | − | 200.053i | −0.687039 | − | 0.766486i | ||||
\(262\) | 61.9001 | + | 231.014i | 0.236260 | + | 0.881733i | ||||
\(263\) | −77.5522 | + | 20.7801i | −0.294875 | + | 0.0790116i | −0.403224 | − | 0.915101i | \(-0.632110\pi\) |
0.108348 | + | 0.994113i | \(0.465444\pi\) | |||||||
\(264\) | 164.504 | + | 26.2441i | 0.623120 | + | 0.0994094i | ||||
\(265\) | −315.578 | + | 106.832i | −1.19086 | + | 0.403141i | ||||
\(266\) | 3.13069 | − | 5.19718i | 0.0117695 | − | 0.0195383i | ||||
\(267\) | −0.512196 | − | 4.92638i | −0.00191834 | − | 0.0184509i | ||||
\(268\) | 17.6544 | + | 4.73048i | 0.0658746 | + | 0.0176510i | ||||
\(269\) | −160.113 | − | 92.4410i | −0.595214 | − | 0.343647i | 0.171943 | − | 0.985107i | \(-0.444996\pi\) |
−0.767156 | + | 0.641460i | \(0.778329\pi\) | |||||||
\(270\) | −189.688 | + | 21.6443i | −0.702548 | + | 0.0801641i | ||||
\(271\) | −166.881 | + | 96.3488i | −0.615797 | + | 0.355531i | −0.775231 | − | 0.631678i | \(-0.782367\pi\) |
0.159434 | + | 0.987209i | \(0.449033\pi\) | |||||||
\(272\) | −35.9376 | − | 35.9376i | −0.132123 | − | 0.132123i | ||||
\(273\) | 207.919 | + | 97.5214i | 0.761607 | + | 0.357221i | ||||
\(274\) | − | 353.914i | − | 1.29166i | ||||||
\(275\) | 453.130 | + | 188.575i | 1.64775 | + | 0.685726i | ||||
\(276\) | 27.0651 | + | 70.7442i | 0.0980620 | + | 0.256319i | ||||
\(277\) | −422.843 | + | 113.301i | −1.52651 | + | 0.409027i | −0.921879 | − | 0.387478i | \(-0.873346\pi\) |
−0.604631 | + | 0.796505i | \(0.706680\pi\) | |||||||
\(278\) | −313.630 | − | 84.0370i | −1.12817 | − | 0.302291i | ||||
\(279\) | 37.3766 | + | 177.804i | 0.133966 | + | 0.637291i | ||||
\(280\) | −4.55705 | − | 98.8900i | −0.0162752 | − | 0.353179i | ||||
\(281\) | 221.523i | 0.788340i | 0.919038 | + | 0.394170i | \(0.128968\pi\) | ||||
−0.919038 | + | 0.394170i | \(0.871032\pi\) | |||||||
\(282\) | 129.565 | + | 178.752i | 0.459451 | + | 0.633874i | ||||
\(283\) | 383.117 | − | 102.656i | 1.35377 | − | 0.362741i | 0.492245 | − | 0.870457i | \(-0.336177\pi\) |
0.861525 | + | 0.507715i | \(0.169510\pi\) | |||||||
\(284\) | 4.20881 | − | 7.28987i | 0.0148197 | − | 0.0256685i | ||||
\(285\) | 9.06355 | − | 1.53919i | 0.0318019 | − | 0.00540067i | ||||
\(286\) | − | 303.623i | − | 1.06162i | ||||||
\(287\) | −364.364 | − | 378.154i | −1.26956 | − | 1.31761i | ||||
\(288\) | 27.8242 | − | 42.6358i | 0.0966119 | − | 0.148041i | ||||
\(289\) | −110.471 | + | 63.7807i | −0.382254 | + | 0.220694i | ||||
\(290\) | 206.986 | + | 41.3507i | 0.713744 | + | 0.142589i | ||||
\(291\) | −140.262 | − | 366.625i | −0.482001 | − | 1.25988i | ||||
\(292\) | 45.9386 | + | 12.3092i | 0.157324 | + | 0.0421548i | ||||
\(293\) | −156.018 | + | 156.018i | −0.532484 | + | 0.532484i | −0.921311 | − | 0.388827i | \(-0.872880\pi\) |
0.388827 | + | 0.921311i | \(0.372880\pi\) | |||||||
\(294\) | 156.438 | + | 136.913i | 0.532101 | + | 0.465692i | ||||
\(295\) | −331.576 | − | 163.857i | −1.12399 | − | 0.555449i | ||||
\(296\) | −33.5562 | + | 19.3737i | −0.113366 | + | 0.0654516i | ||||
\(297\) | −518.110 | − | 111.952i | −1.74448 | − | 0.376942i | ||||
\(298\) | −31.0360 | − | 115.828i | −0.104148 | − | 0.388684i | ||||
\(299\) | 119.560 | − | 69.0278i | 0.399865 | − | 0.230862i | ||||
\(300\) | 109.093 | − | 102.950i | 0.363643 | − | 0.343167i | ||||
\(301\) | 462.946 | + | 8.59796i | 1.53803 | + | 0.0285647i | ||||
\(302\) | 279.301 | − | 279.301i | 0.924838 | − | 0.924838i | ||||
\(303\) | −180.120 | − | 248.499i | −0.594455 | − | 0.820130i | ||||
\(304\) | −1.22578 | + | 2.12311i | −0.00403216 | + | 0.00698390i | ||||
\(305\) | −92.6016 | + | 61.7633i | −0.303612 | + | 0.202503i | ||||
\(306\) | 107.941 | + | 120.423i | 0.352749 | + | 0.393540i | ||||
\(307\) | −47.9690 | + | 47.9690i | −0.156251 | + | 0.156251i | −0.780903 | − | 0.624652i | \(-0.785241\pi\) |
0.624652 | + | 0.780903i | \(0.285241\pi\) | |||||||
\(308\) | 76.0538 | − | 264.118i | 0.246928 | − | 0.857525i | ||||
\(309\) | −341.234 | − | 276.960i | −1.10432 | − | 0.896311i | ||||
\(310\) | −107.246 | − | 94.2102i | −0.345956 | − | 0.303904i | ||||
\(311\) | −217.116 | + | 376.057i | −0.698124 | + | 1.20919i | 0.270993 | + | 0.962581i | \(0.412648\pi\) |
−0.969116 | + | 0.246604i | \(0.920685\pi\) | |||||||
\(312\) | −84.7291 | − | 37.8378i | −0.271568 | − | 0.121275i | ||||
\(313\) | −65.8692 | + | 245.827i | −0.210445 | + | 0.785390i | 0.777276 | + | 0.629160i | \(0.216601\pi\) |
−0.987721 | + | 0.156230i | \(0.950066\pi\) | |||||||
\(314\) | − | 365.775i | − | 1.16489i | ||||||
\(315\) | −2.69463 | + | 314.988i | −0.00855439 | + | 0.999963i | ||||
\(316\) | −154.876 | −0.490113 | ||||||||
\(317\) | 121.640 | + | 32.5934i | 0.383723 | + | 0.102818i | 0.445523 | − | 0.895270i | \(-0.353018\pi\) |
−0.0618007 | + | 0.998089i | \(0.519684\pi\) | |||||||
\(318\) | −115.276 | + | 258.134i | −0.362503 | + | 0.811744i | ||||
\(319\) | 507.517 | + | 293.015i | 1.59096 | + | 0.918543i | ||||
\(320\) | 2.58298 | + | 39.9165i | 0.00807183 | + | 0.124739i | ||||
\(321\) | 114.591 | − | 141.183i | 0.356980 | − | 0.439824i | ||||
\(322\) | 121.294 | − | 30.0981i | 0.376689 | − | 0.0934723i | ||||
\(323\) | −5.50643 | − | 5.50643i | −0.0170478 | − | 0.0170478i | ||||
\(324\) | −95.8085 | + | 130.632i | −0.295705 | + | 0.403185i | ||||
\(325\) | −216.624 | − | 166.793i | −0.666534 | − | 0.513210i | ||||
\(326\) | 23.3217 | + | 13.4648i | 0.0715389 | + | 0.0413030i | ||||
\(327\) | 69.7138 | − | 50.5307i | 0.213192 | − | 0.154528i | ||||
\(328\) | 150.037 | + | 150.037i | 0.457431 | + | 0.457431i | ||||
\(329\) | 318.779 | − | 176.237i | 0.968934 | − | 0.535675i | ||||
\(330\) | 378.545 | − | 173.616i | 1.14711 | − | 0.526110i | ||||
\(331\) | −147.637 | − | 255.715i | −0.446034 | − | 0.772554i | 0.552089 | − | 0.833785i | \(-0.313831\pi\) |
−0.998124 | + | 0.0612308i | \(0.980497\pi\) | |||||||
\(332\) | −112.378 | + | 30.1115i | −0.338487 | + | 0.0906972i | ||||
\(333\) | 109.980 | − | 55.7273i | 0.330272 | − | 0.167349i | ||||
\(334\) | 72.3691 | + | 125.347i | 0.216674 | + | 0.375290i | ||||
\(335\) | 43.2802 | − | 14.6516i | 0.129195 | − | 0.0437360i | ||||
\(336\) | −64.2267 | − | 54.1381i | −0.191151 | − | 0.161125i | ||||
\(337\) | 348.075 | + | 348.075i | 1.03286 | + | 1.03286i | 0.999441 | + | 0.0334221i | \(0.0106406\pi\) |
0.0334221 | + | 0.999441i | \(0.489359\pi\) | |||||||
\(338\) | 18.0841 | − | 67.4908i | 0.0535033 | − | 0.199677i | ||||
\(339\) | −57.8951 | + | 22.1494i | −0.170782 | + | 0.0653374i | ||||
\(340\) | −124.596 | − | 24.8913i | −0.366460 | − | 0.0732098i | ||||
\(341\) | −198.164 | − | 343.231i | −0.581127 | − | 1.00654i | ||||
\(342\) | 4.26329 | − | 6.53274i | 0.0124657 | − | 0.0191016i | ||||
\(343\) | 255.666 | − | 228.656i | 0.745383 | − | 0.666637i | ||||
\(344\) | −187.091 | −0.543869 | ||||||||
\(345\) | 154.427 | + | 109.591i | 0.447614 | + | 0.317655i | ||||
\(346\) | 204.088 | + | 117.830i | 0.589851 | + | 0.340550i | ||||
\(347\) | 148.840 | + | 555.480i | 0.428935 | + | 1.60081i | 0.755177 | + | 0.655521i | \(0.227551\pi\) |
−0.326242 | + | 0.945286i | \(0.605783\pi\) | |||||||
\(348\) | 145.016 | − | 105.112i | 0.416713 | − | 0.302046i | ||||
\(349\) | −106.667 | −0.305637 | −0.152818 | − | 0.988254i | \(-0.548835\pi\) | ||||
−0.152818 | + | 0.988254i | \(0.548835\pi\) | |||||||
\(350\) | −146.658 | − | 199.353i | −0.419023 | − | 0.569579i | ||||
\(351\) | 262.633 | + | 134.934i | 0.748243 | + | 0.384427i | ||||
\(352\) | −28.7434 | + | 107.272i | −0.0816574 | + | 0.304750i | ||||
\(353\) | −6.93139 | − | 25.8683i | −0.0196357 | − | 0.0732813i | 0.955413 | − | 0.295273i | \(-0.0954107\pi\) |
−0.975048 | + | 0.221992i | \(0.928744\pi\) | |||||||
\(354\) | −293.113 | + | 112.138i | −0.828002 | + | 0.316775i | ||||
\(355\) | −1.35891 | − | 21.0001i | −0.00382792 | − | 0.0591553i | ||||
\(356\) | 3.30196 | 0.00927517 | ||||||||
\(357\) | 218.911 | − | 152.554i | 0.613195 | − | 0.427321i | ||||
\(358\) | −71.9801 | + | 71.9801i | −0.201062 | + | 0.201062i | ||||
\(359\) | −182.112 | − | 315.427i | −0.507275 | − | 0.878625i | −0.999965 | − | 0.00842047i | \(-0.997320\pi\) |
0.492690 | − | 0.870205i | \(-0.336014\pi\) | |||||||
\(360\) | −1.27476 | − | 127.273i | −0.00354101 | − | 0.353536i | ||||
\(361\) | 180.312 | − | 312.310i | 0.499480 | − | 0.865124i | ||||
\(362\) | 49.3318 | − | 184.109i | 0.136276 | − | 0.508588i | ||||
\(363\) | 789.006 | − | 82.0329i | 2.17357 | − | 0.225986i | ||||
\(364\) | −79.0000 | + | 131.146i | −0.217033 | + | 0.360291i | ||||
\(365\) | 112.620 | − | 38.1249i | 0.308547 | − | 0.104452i | ||||
\(366\) | −14.8798 | + | 93.2696i | −0.0406551 | + | 0.254835i | ||||
\(367\) | −56.7738 | − | 211.883i | −0.154697 | − | 0.577337i | −0.999131 | − | 0.0416774i | \(-0.986730\pi\) |
0.844434 | − | 0.535659i | \(-0.179937\pi\) | |||||||
\(368\) | −48.7758 | + | 13.0694i | −0.132543 | + | 0.0355148i | ||||
\(369\) | −450.648 | − | 502.760i | −1.22127 | − | 1.36249i | ||||
\(370\) | −42.9159 | + | 86.8430i | −0.115989 | + | 0.234711i | ||||
\(371\) | 399.548 | + | 240.680i | 1.07695 | + | 0.648734i | ||||
\(372\) | −120.477 | + | 12.5260i | −0.323864 | + | 0.0336721i | ||||
\(373\) | 372.463 | + | 99.8013i | 0.998561 | + | 0.267564i | 0.720843 | − | 0.693099i | \(-0.243755\pi\) |
0.277719 | + | 0.960662i | \(0.410422\pi\) | |||||||
\(374\) | −305.504 | − | 176.383i | −0.816854 | − | 0.471611i | ||||
\(375\) | 84.0824 | − | 365.452i | 0.224220 | − | 0.974539i | ||||
\(376\) | −127.462 | + | 73.5901i | −0.338994 | + | 0.195718i | ||||
\(377\) | −230.830 | − | 230.830i | −0.612280 | − | 0.612280i | ||||
\(378\) | 194.662 | + | 183.163i | 0.514978 | + | 0.484559i | ||||
\(379\) | 381.328i | 1.00614i | 0.864245 | + | 0.503071i | \(0.167797\pi\) | ||||
−0.864245 | + | 0.503071i | \(0.832203\pi\) | |||||||
\(380\) | 0.395770 | + | 6.11609i | 0.00104150 | + | 0.0160950i | ||||
\(381\) | −33.1578 | + | 12.6854i | −0.0870283 | + | 0.0332951i | ||||
\(382\) | −254.147 | + | 68.0986i | −0.665307 | + | 0.178268i | ||||
\(383\) | 595.841 | + | 159.655i | 1.55572 | + | 0.416854i | 0.931305 | − | 0.364240i | \(-0.118671\pi\) |
0.624414 | + | 0.781093i | \(0.285338\pi\) | |||||||
\(384\) | 26.3532 | + | 21.3894i | 0.0686282 | + | 0.0557016i | ||||
\(385\) | −208.205 | − | 654.820i | −0.540792 | − | 1.70083i | ||||
\(386\) | 187.393i | 0.485473i | ||||||||
\(387\) | 594.432 | + | 32.4906i | 1.53600 | + | 0.0839551i | ||||
\(388\) | 252.776 | − | 67.7311i | 0.651484 | − | 0.174565i | ||||
\(389\) | 362.523 | − | 627.909i | 0.931937 | − | 1.61416i | 0.151929 | − | 0.988391i | \(-0.451451\pi\) |
0.780008 | − | 0.625770i | \(-0.215215\pi\) | |||||||
\(390\) | −228.710 | + | 38.8401i | −0.586437 | + | 0.0995900i | ||||
\(391\) | − | 160.400i | − | 0.410230i | ||||||
\(392\) | −101.571 | + | 94.2935i | −0.259111 | + | 0.240545i | ||||
\(393\) | 504.622 | − | 52.4655i | 1.28403 | − | 0.133500i | ||||
\(394\) | 334.676 | − | 193.225i | 0.849431 | − | 0.490419i | ||||
\(395\) | −322.114 | + | 214.843i | −0.815480 | + | 0.543907i | ||||
\(396\) | 109.954 | − | 335.837i | 0.277661 | − | 0.848072i | ||||
\(397\) | 79.9252 | + | 21.4159i | 0.201323 | + | 0.0539443i | 0.358071 | − | 0.933694i | \(-0.383434\pi\) |
−0.156748 | + | 0.987639i | \(0.550101\pi\) | |||||||
\(398\) | 130.276 | − | 130.276i | 0.327326 | − | 0.327326i | ||||
\(399\) | −9.84094 | − | 8.29515i | −0.0246640 | − | 0.0207898i | ||||
\(400\) | 60.7443 | + | 79.4363i | 0.151861 | + | 0.198591i | ||||
\(401\) | 471.040 | − | 271.955i | 1.17466 | − | 0.678193i | 0.219890 | − | 0.975525i | \(-0.429430\pi\) |
0.954774 | + | 0.297332i | \(0.0960967\pi\) | |||||||
\(402\) | 15.8096 | − | 35.4020i | 0.0393274 | − | 0.0880647i | ||||
\(403\) | 57.1398 | + | 213.248i | 0.141786 | + | 0.529153i | ||||
\(404\) | 177.196 | − | 102.304i | 0.438604 | − | 0.253228i | ||||
\(405\) | −18.0523 | + | 404.597i | −0.0445735 | + | 0.999006i | ||||
\(406\) | −142.975 | − | 258.615i | −0.352156 | − | 0.636983i | ||||
\(407\) | −190.173 | + | 190.173i | −0.467256 | + | 0.467256i | ||||
\(408\) | −87.2934 | + | 63.2728i | −0.213954 | + | 0.155080i | ||||
\(409\) | −186.164 | + | 322.446i | −0.455170 | + | 0.788377i | −0.998698 | − | 0.0510136i | \(-0.983755\pi\) |
0.543528 | + | 0.839391i | \(0.317088\pi\) | |||||||
\(410\) | 520.183 | + | 103.920i | 1.26874 | + | 0.253463i | ||||
\(411\) | −741.390 | − | 118.278i | −1.80387 | − | 0.287780i | ||||
\(412\) | 207.175 | − | 207.175i | 0.502853 | − | 0.502853i | ||||
\(413\) | 124.705 | + | 502.554i | 0.301949 | + | 1.21684i | ||||
\(414\) | 157.242 | − | 33.0542i | 0.379812 | − | 0.0798411i | ||||
\(415\) | −191.955 | + | 218.517i | −0.462543 | + | 0.526546i | ||||
\(416\) | 30.9313 | − | 53.5746i | 0.0743541 | − | 0.128785i | ||||
\(417\) | −280.858 | + | 628.917i | −0.673520 | + | 1.50819i | ||||
\(418\) | −4.40412 | + | 16.4364i | −0.0105362 | + | 0.0393215i | ||||
\(419\) | 289.110i | 0.690000i | 0.938603 | + | 0.345000i | \(0.112121\pi\) | ||||
−0.938603 | + | 0.345000i | \(0.887879\pi\) | |||||||
\(420\) | −208.681 | − | 23.5026i | −0.496859 | − | 0.0559586i | ||||
\(421\) | −680.094 | −1.61543 | −0.807713 | − | 0.589576i | \(-0.799295\pi\) | ||||
−0.807713 | + | 0.589576i | \(0.799295\pi\) | |||||||
\(422\) | 183.947 | + | 49.2883i | 0.435892 | + | 0.116797i | ||||
\(423\) | 417.756 | − | 211.678i | 0.987603 | − | 0.500421i | ||||
\(424\) | −163.220 | − | 94.2349i | −0.384952 | − | 0.222252i | ||||
\(425\) | −293.668 | + | 121.070i | −0.690984 | + | 0.284872i | ||||
\(426\) | −13.8645 | − | 11.2530i | −0.0325457 | − | 0.0264155i | ||||
\(427\) | 149.748 | + | 43.1207i | 0.350699 | + | 0.100985i | ||||
\(428\) | 85.7175 | + | 85.7175i | 0.200275 | + | 0.200275i | ||||
\(429\) | −636.039 | − | 101.470i | −1.48261 | − | 0.236528i | ||||
\(430\) | −389.116 | + | 259.532i | −0.904922 | + | 0.603563i | ||||
\(431\) | −432.391 | − | 249.641i | −1.00323 | − | 0.579214i | −0.0940260 | − | 0.995570i | \(-0.529974\pi\) |
−0.909202 | + | 0.416356i | \(0.863307\pi\) | |||||||
\(432\) | −80.0159 | − | 72.5359i | −0.185222 | − | 0.167907i | ||||
\(433\) | −62.7615 | − | 62.7615i | −0.144946 | − | 0.144946i | 0.630910 | − | 0.775856i | \(-0.282682\pi\) |
−0.775856 | + | 0.630910i | \(0.782682\pi\) | |||||||
\(434\) | −3.71101 | + | 199.814i | −0.00855071 | + | 0.460402i | ||||
\(435\) | 155.797 | − | 419.781i | 0.358154 | − | 0.965013i | ||||
\(436\) | 28.7003 | + | 49.7104i | 0.0658264 | + | 0.114015i | ||||
\(437\) | −7.47353 | + | 2.00253i | −0.0171019 | + | 0.00458244i | ||||
\(438\) | 41.1383 | − | 92.1198i | 0.0939230 | − | 0.210319i | ||||
\(439\) | 6.32464 | + | 10.9546i | 0.0144069 | + | 0.0249535i | 0.873139 | − | 0.487471i | \(-0.162081\pi\) |
−0.858732 | + | 0.512425i | \(0.828747\pi\) | |||||||
\(440\) | 89.0261 | + | 262.980i | 0.202332 | + | 0.597681i | ||||
\(441\) | 339.092 | − | 281.954i | 0.768915 | − | 0.639351i | ||||
\(442\) | 138.950 | + | 138.950i | 0.314365 | + | 0.314365i | ||||
\(443\) | 21.4772 | − | 80.1541i | 0.0484813 | − | 0.180935i | −0.937439 | − | 0.348149i | \(-0.886810\pi\) |
0.985921 | + | 0.167214i | \(0.0534771\pi\) | |||||||
\(444\) | 29.3701 | + | 76.7692i | 0.0661489 | + | 0.172903i | ||||
\(445\) | 6.86750 | − | 4.58047i | 0.0154326 | − | 0.0102932i | ||||
\(446\) | −247.996 | − | 429.542i | −0.556045 | − | 0.963099i | ||||
\(447\) | −253.012 | + | 26.3056i | −0.566022 | + | 0.0588493i | ||||
\(448\) | 40.3264 | − | 38.8559i | 0.0900144 | − | 0.0867318i | ||||
\(449\) | 554.557 | 1.23509 | 0.617547 | − | 0.786534i | \(-0.288126\pi\) | ||||
0.617547 | + | 0.786534i | \(0.288126\pi\) | |||||||
\(450\) | −179.204 | − | 262.937i | −0.398231 | − | 0.584305i | ||||
\(451\) | 1275.46 | + | 736.387i | 2.82807 | + | 1.63279i | ||||
\(452\) | −10.6957 | − | 39.9168i | −0.0236630 | − | 0.0883116i | ||||
\(453\) | −491.746 | − | 678.430i | −1.08553 | − | 1.49764i | ||||
\(454\) | 105.076 | 0.231445 | ||||||||
\(455\) | 17.6194 | + | 382.350i | 0.0387241 | + | 0.840329i | ||||
\(456\) | 4.03789 | + | 3.27733i | 0.00885503 | + | 0.00718713i | ||||
\(457\) | 130.979 | − | 488.822i | 0.286607 | − | 1.06963i | −0.661050 | − | 0.750342i | \(-0.729889\pi\) |
0.947657 | − | 0.319290i | \(-0.103445\pi\) | |||||||
\(458\) | 24.9326 | + | 93.0497i | 0.0544380 | + | 0.203165i | ||||
\(459\) | 288.340 | − | 185.873i | 0.628191 | − | 0.404953i | ||||
\(460\) | −83.3153 | + | 94.8440i | −0.181120 | + | 0.206183i | ||||
\(461\) | −364.645 | −0.790987 | −0.395494 | − | 0.918469i | \(-0.629427\pi\) | ||||
−0.395494 | + | 0.918469i | \(0.629427\pi\) | |||||||
\(462\) | −527.864 | − | 247.587i | −1.14256 | − | 0.535904i | ||||
\(463\) | −568.862 | + | 568.862i | −1.22864 | + | 1.22864i | −0.264166 | + | 0.964477i | \(0.585097\pi\) |
−0.964477 | + | 0.264166i | \(0.914903\pi\) | |||||||
\(464\) | 59.7012 | + | 103.406i | 0.128666 | + | 0.222857i | ||||
\(465\) | −233.196 | + | 193.178i | −0.501496 | + | 0.415437i | ||||
\(466\) | −183.272 | + | 317.437i | −0.393288 | + | 0.681195i | ||||
\(467\) | 14.8228 | − | 55.3194i | 0.0317405 | − | 0.118457i | −0.948238 | − | 0.317561i | \(-0.897136\pi\) |
0.979978 | + | 0.199104i | \(0.0638030\pi\) | |||||||
\(468\) | −107.580 | + | 164.848i | −0.229872 | + | 0.352239i | ||||
\(469\) | −54.7962 | − | 33.0082i | −0.116836 | − | 0.0703800i | ||||
\(470\) | −163.014 | + | 329.870i | −0.346839 | + | 0.701850i | ||||
\(471\) | −766.236 | − | 122.241i | −1.62683 | − | 0.259536i | ||||
\(472\) | −54.1503 | − | 202.092i | −0.114725 | − | 0.428161i | ||||
\(473\) | −1254.35 | + | 336.102i | −2.65190 | + | 0.710574i | ||||
\(474\) | −51.7592 | + | 324.438i | −0.109197 | + | 0.684469i | ||||
\(475\) | 9.30737 | + | 12.1714i | 0.0195945 | + | 0.0256240i | ||||
\(476\) | 86.0650 | + | 155.675i | 0.180809 | + | 0.327049i | ||||
\(477\) | 502.223 | + | 327.752i | 1.05288 | + | 0.687111i | ||||
\(478\) | −45.3107 | − | 12.1410i | −0.0947922 | − | 0.0253995i | ||||
\(479\) | 129.731 | + | 74.9002i | 0.270837 | + | 0.156368i | 0.629268 | − | 0.777188i | \(-0.283355\pi\) |
−0.358431 | + | 0.933556i | \(0.616688\pi\) | |||||||
\(480\) | 84.4815 | + | 7.92912i | 0.176003 | + | 0.0165190i | ||||
\(481\) | 129.742 | − | 74.9067i | 0.269734 | − | 0.155731i | ||||
\(482\) | −284.375 | − | 284.375i | −0.589990 | − | 0.589990i | ||||
\(483\) | −22.5142 | − | 264.149i | −0.0466133 | − | 0.546892i | ||||
\(484\) | 528.839i | 1.09264i | ||||||||
\(485\) | 431.773 | − | 491.519i | 0.890255 | − | 1.01344i | ||||
\(486\) | 241.633 | + | 244.359i | 0.497187 | + | 0.502797i | ||||
\(487\) | 105.168 | − | 28.1798i | 0.215952 | − | 0.0578641i | −0.149221 | − | 0.988804i | \(-0.547677\pi\) |
0.365173 | + | 0.930940i | \(0.381010\pi\) | |||||||
\(488\) | −60.8205 | − | 16.2968i | −0.124632 | − | 0.0333951i | ||||
\(489\) | 36.0005 | − | 44.3550i | 0.0736206 | − | 0.0907056i | ||||
\(490\) | −80.4469 | + | 337.014i | −0.164177 | + | 0.687783i | ||||
\(491\) | 156.181i | 0.318087i | 0.987272 | + | 0.159043i | \(0.0508410\pi\) | ||||
−0.987272 | + | 0.159043i | \(0.949159\pi\) | |||||||
\(492\) | 364.445 | − | 264.160i | 0.740741 | − | 0.536911i | ||||
\(493\) | −366.354 | + | 98.1642i | −0.743111 | + | 0.199116i | ||||
\(494\) | 4.73936 | − | 8.20881i | 0.00959384 | − | 0.0166170i | ||||
\(495\) | −237.188 | − | 851.009i | −0.479167 | − | 1.71921i | ||||
\(496\) | − | 80.7512i | − | 0.162805i | ||||||
\(497\) | −21.2158 | + | 20.4421i | −0.0426877 | + | 0.0411310i | ||||
\(498\) | 25.5220 | + | 245.475i | 0.0512491 | + | 0.492922i | ||||
\(499\) | 601.874 | − | 347.492i | 1.20616 | − | 0.696377i | 0.244242 | − | 0.969714i | \(-0.421461\pi\) |
0.961918 | + | 0.273337i | \(0.0881274\pi\) | |||||||
\(500\) | 236.532 | + | 80.9493i | 0.473063 | + | 0.161899i | ||||
\(501\) | 286.766 | − | 109.710i | 0.572387 | − | 0.218982i | ||||
\(502\) | −183.850 | − | 49.2625i | −0.366235 | − | 0.0981324i | ||||
\(503\) | 159.128 | − | 159.128i | 0.316358 | − | 0.316358i | −0.531009 | − | 0.847366i | \(-0.678187\pi\) |
0.847366 | + | 0.531009i | \(0.178187\pi\) | |||||||
\(504\) | −134.875 | + | 116.451i | −0.267608 | + | 0.231054i | ||||
\(505\) | 226.620 | − | 458.581i | 0.448753 | − | 0.908080i | ||||
\(506\) | −303.538 | + | 175.248i | −0.599878 | + | 0.346340i | ||||
\(507\) | −135.338 | − | 60.4385i | −0.266939 | − | 0.119208i | ||||
\(508\) | −6.12565 | − | 22.8612i | −0.0120584 | − | 0.0450024i | ||||
\(509\) | −303.860 | + | 175.434i | −0.596974 | + | 0.344663i | −0.767850 | − | 0.640629i | \(-0.778674\pi\) |
0.170876 | + | 0.985293i | \(0.445340\pi\) | |||||||
\(510\) | −93.7830 | + | 252.690i | −0.183888 | + | 0.495470i | ||||
\(511\) | −142.586 | − | 85.8909i | −0.279032 | − | 0.168084i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −12.2602 | − | 11.1141i | −0.0238990 | − | 0.0216649i | ||||
\(514\) | 89.5253 | − | 155.062i | 0.174174 | − | 0.301678i | ||||
\(515\) | 143.495 | − | 718.282i | 0.278632 | − | 1.39472i | ||||
\(516\) | −62.5254 | + | 391.923i | −0.121173 | + | 0.759541i | ||||
\(517\) | −722.364 | + | 722.364i | −1.39722 | + | 1.39722i | ||||
\(518\) | 131.624 | − | 32.6614i | 0.254100 | − | 0.0630530i | ||||
\(519\) | 315.041 | − | 388.152i | 0.607015 | − | 0.747884i | ||||
\(520\) | −9.98689 | − | 154.334i | −0.0192056 | − | 0.296796i | ||||
\(521\) | 27.9815 | − | 48.4653i | 0.0537072 | − | 0.0930237i | −0.837922 | − | 0.545790i | \(-0.816230\pi\) |
0.891629 | + | 0.452767i | \(0.149563\pi\) | |||||||
\(522\) | −171.727 | − | 338.912i | −0.328980 | − | 0.649257i | ||||
\(523\) | −226.661 | + | 845.912i | −0.433387 | + | 1.61742i | 0.311510 | + | 0.950243i | \(0.399165\pi\) |
−0.744897 | + | 0.667180i | \(0.767501\pi\) | |||||||
\(524\) | 338.228i | 0.645474i | ||||||||
\(525\) | −466.622 | + | 240.600i | −0.888805 | + | 0.458286i | ||||
\(526\) | −113.544 | −0.215864 | ||||||||
\(527\) | 247.763 | + | 66.3879i | 0.470138 | + | 0.125973i | ||||
\(528\) | 215.110 | + | 96.0626i | 0.407406 | + | 0.181937i | ||||
\(529\) | 320.111 | + | 184.816i | 0.605124 | + | 0.349368i | ||||
\(530\) | −470.191 | + | 30.4259i | −0.887153 | + | 0.0574074i | ||||
\(531\) | 136.953 | + | 651.498i | 0.257915 | + | 1.22693i | ||||
\(532\) | 6.17890 | − | 5.95357i | 0.0116145 | − | 0.0111909i | ||||
\(533\) | −580.106 | − | 580.106i | −1.08838 | − | 1.08838i | ||||
\(534\) | 1.10351 | − | 6.91704i | 0.00206650 | − | 0.0129533i | ||||
\(535\) | 297.185 | + | 59.3703i | 0.555486 | + | 0.110973i | ||||
\(536\) | 22.3849 | + | 12.9239i | 0.0417628 | + | 0.0241118i | ||||
\(537\) | 126.730 | + | 174.842i | 0.235997 | + | 0.325590i | ||||
\(538\) | −184.882 | − | 184.882i | −0.343647 | − | 0.343647i | ||||
\(539\) | −511.589 | + | 814.659i | −0.949145 | + | 1.51143i | ||||
\(540\) | −267.041 | − | 39.8640i | −0.494520 | − | 0.0738221i | ||||
\(541\) | 325.449 | + | 563.694i | 0.601569 | + | 1.04195i | 0.992584 | + | 0.121564i | \(0.0387909\pi\) |
−0.391014 | + | 0.920385i | \(0.627876\pi\) | |||||||
\(542\) | −263.230 | + | 70.5322i | −0.485664 | + | 0.130133i | ||||
\(543\) | −369.190 | − | 164.871i | −0.679908 | − | 0.303629i | ||||
\(544\) | −35.9376 | − | 62.2457i | −0.0660617 | − | 0.114422i | ||||
\(545\) | 128.650 | + | 63.5759i | 0.236055 | + | 0.116653i | ||||
\(546\) | 248.327 | + | 209.320i | 0.454811 | + | 0.383370i | ||||
\(547\) | 155.700 | + | 155.700i | 0.284644 | + | 0.284644i | 0.834958 | − | 0.550314i | \(-0.185492\pi\) |
−0.550314 | + | 0.834958i | \(0.685492\pi\) | |||||||
\(548\) | 129.542 | − | 483.456i | 0.236390 | − | 0.882219i | ||||
\(549\) | 190.411 | + | 62.3411i | 0.346833 | + | 0.113554i | ||||
\(550\) | 549.964 | + | 423.455i | 0.999935 | + | 0.769918i | ||||
\(551\) | 9.14754 | + | 15.8440i | 0.0166017 | + | 0.0287550i | ||||
\(552\) | 11.0775 | + | 106.545i | 0.0200679 | + | 0.193016i | ||||
\(553\) | 520.899 | + | 149.995i | 0.941951 | + | 0.271239i | ||||
\(554\) | −619.086 | −1.11748 | ||||||||
\(555\) | 167.579 | + | 118.924i | 0.301944 | + | 0.214278i | ||||
\(556\) | −397.667 | − | 229.593i | −0.715229 | − | 0.412938i | ||||
\(557\) | −68.9573 | − | 257.352i | −0.123801 | − | 0.462033i | 0.875993 | − | 0.482324i | \(-0.160207\pi\) |
−0.999794 | + | 0.0202914i | \(0.993541\pi\) | |||||||
\(558\) | −14.0234 | + | 256.566i | −0.0251316 | + | 0.459795i | ||||
\(559\) | 723.371 | 1.29404 | ||||||||
\(560\) | 29.9712 | − | 136.754i | 0.0535200 | − | 0.244204i | ||||
\(561\) | −471.590 | + | 581.031i | −0.840624 | + | 1.03571i | ||||
\(562\) | −81.0832 | + | 302.607i | −0.144276 | + | 0.538446i | ||||
\(563\) | −109.570 | − | 408.921i | −0.194618 | − | 0.726324i | −0.992365 | − | 0.123332i | \(-0.960642\pi\) |
0.797747 | − | 0.602992i | \(-0.206025\pi\) | |||||||
\(564\) | 111.561 | + | 291.604i | 0.197804 | + | 0.517029i | ||||
\(565\) | −77.6178 | − | 68.1831i | −0.137377 | − | 0.120678i | ||||
\(566\) | 560.922 | 0.991028 | ||||||||
\(567\) | 448.752 | − | 346.570i | 0.791449 | − | 0.611235i | ||||
\(568\) | 8.41761 | − | 8.41761i | 0.0148197 | − | 0.0148197i | ||||
\(569\) | 102.317 | + | 177.219i | 0.179819 | + | 0.311456i | 0.941819 | − | 0.336122i | \(-0.109115\pi\) |
−0.761999 | + | 0.647578i | \(0.775782\pi\) | |||||||
\(570\) | 12.9444 | + | 1.21492i | 0.0227095 | + | 0.00213143i | ||||
\(571\) | −10.0374 | + | 17.3853i | −0.0175786 | + | 0.0304471i | −0.874681 | − | 0.484699i | \(-0.838929\pi\) |
0.857102 | + | 0.515146i | \(0.172262\pi\) | |||||||
\(572\) | 111.134 | − | 414.757i | 0.194290 | − | 0.725100i | ||||
\(573\) | 57.7193 | + | 555.154i | 0.100732 | + | 0.968855i | ||||
\(574\) | −359.317 | − | 649.935i | −0.625987 | − | 1.13229i | ||||
\(575\) | −41.7140 | + | 312.834i | −0.0725460 | + | 0.544059i | ||||
\(576\) | 53.6144 | − | 48.0572i | 0.0930806 | − | 0.0834327i | ||||
\(577\) | −71.5200 | − | 266.916i | −0.123952 | − | 0.462593i | 0.875849 | − | 0.482586i | \(-0.160302\pi\) |
−0.999800 | + | 0.0199925i | \(0.993636\pi\) | |||||||
\(578\) | −174.252 | + | 46.6907i | −0.301474 | + | 0.0807798i | ||||
\(579\) | 392.556 | + | 62.6263i | 0.677989 | + | 0.108163i | ||||
\(580\) | 267.612 | + | 132.248i | 0.461401 | + | 0.228014i | ||||
\(581\) | 407.126 | + | 7.56126i | 0.700734 | + | 0.0130142i | ||||
\(582\) | −57.4078 | − | 552.158i | −0.0986389 | − | 0.948725i | ||||
\(583\) | −1263.59 | − | 338.579i | −2.16740 | − | 0.580753i | ||||
\(584\) | 58.2478 | + | 33.6294i | 0.0997393 | + | 0.0575845i | ||||
\(585\) | 4.92876 | + | 492.090i | 0.00842523 | + | 0.841179i | ||||
\(586\) | −270.231 | + | 156.018i | −0.461144 | + | 0.266242i | ||||
\(587\) | 384.403 | + | 384.403i | 0.654860 | + | 0.654860i | 0.954159 | − | 0.299299i | \(-0.0967529\pi\) |
−0.299299 | + | 0.954159i | \(0.596753\pi\) | |||||||
\(588\) | 163.584 | + | 244.287i | 0.278204 | + | 0.415455i | ||||
\(589\) | − | 12.3729i | − | 0.0210065i | ||||||
\(590\) | −392.965 | − | 345.199i | −0.666042 | − | 0.585082i | ||||
\(591\) | −292.926 | − | 765.664i | −0.495644 | − | 1.29554i | ||||
\(592\) | −52.9299 | + | 14.1825i | −0.0894086 | + | 0.0239570i | ||||
\(593\) | −82.9396 | − | 22.2236i | −0.139864 | − | 0.0374766i | 0.188208 | − | 0.982129i | \(-0.439732\pi\) |
−0.328072 | + | 0.944653i | \(0.606399\pi\) | |||||||
\(594\) | −666.774 | − | 342.570i | −1.12252 | − | 0.576718i | ||||
\(595\) | 394.953 | + | 204.388i | 0.663786 | + | 0.343509i | ||||
\(596\) | − | 169.584i | − | 0.284537i | ||||||
\(597\) | −229.368 | − | 316.444i | −0.384201 | − | 0.530057i | ||||
\(598\) | 188.588 | − | 50.5319i | 0.315364 | − | 0.0845015i | ||||
\(599\) | 261.754 | − | 453.371i | 0.436985 | − | 0.756880i | −0.560470 | − | 0.828175i | \(-0.689380\pi\) |
0.997455 | + | 0.0712942i | \(0.0227129\pi\) | |||||||
\(600\) | 186.706 | − | 100.702i | 0.311177 | − | 0.167836i | ||||
\(601\) | 135.446i | 0.225368i | 0.993631 | + | 0.112684i | \(0.0359448\pi\) | ||||
−0.993631 | + | 0.112684i | \(0.964055\pi\) | |||||||
\(602\) | 629.249 | + | 181.195i | 1.04526 | + | 0.300989i | ||||
\(603\) | −68.8776 | − | 44.9497i | −0.114225 | − | 0.0745435i | ||||
\(604\) | 483.764 | − | 279.301i | 0.800934 | − | 0.462419i | ||||
\(605\) | 733.606 | + | 1099.89i | 1.21257 | + | 1.81801i | ||||
\(606\) | −155.091 | − | 405.385i | −0.255926 | − | 0.668952i | ||||
\(607\) | 490.637 | + | 131.466i | 0.808298 | + | 0.216583i | 0.639224 | − | 0.769021i | \(-0.279256\pi\) |
0.169074 | + | 0.985603i | \(0.445922\pi\) | |||||||
\(608\) | −2.45155 | + | 2.45155i | −0.00403216 | + | 0.00403216i | ||||
\(609\) | −589.537 | + | 213.080i | −0.968041 | + | 0.349886i | ||||
\(610\) | −149.103 | + | 50.4757i | −0.244431 | + | 0.0827470i | ||||
\(611\) | 492.820 | − | 284.530i | 0.806580 | − | 0.465679i | ||||
\(612\) | 103.372 | + | 204.010i | 0.168909 | + | 0.333350i | ||||
\(613\) | −182.131 | − | 679.722i | −0.297114 | − | 1.10885i | −0.939524 | − | 0.342484i | \(-0.888732\pi\) |
0.642410 | − | 0.766361i | \(-0.277935\pi\) | |||||||
\(614\) | −83.0848 | + | 47.9690i | −0.135317 | + | 0.0781254i | ||||
\(615\) | 391.539 | − | 1054.97i | 0.636648 | − | 1.71539i | ||||
\(616\) | 200.565 | − | 332.954i | 0.325593 | − | 0.540509i | ||||
\(617\) | −61.9920 | + | 61.9920i | −0.100473 | + | 0.100473i | −0.755557 | − | 0.655083i | \(-0.772634\pi\) |
0.655083 | + | 0.755557i | \(0.272634\pi\) | |||||||
\(618\) | −364.759 | − | 503.235i | −0.590226 | − | 0.814296i | ||||
\(619\) | −55.8546 | + | 96.7431i | −0.0902337 | + | 0.156289i | −0.907609 | − | 0.419816i | \(-0.862095\pi\) |
0.817376 | + | 0.576105i | \(0.195428\pi\) | |||||||
\(620\) | −112.018 | − | 167.948i | −0.180674 | − | 0.270885i | ||||
\(621\) | −16.6929 | − | 340.442i | −0.0268807 | − | 0.548216i | ||||
\(622\) | −434.233 | + | 434.233i | −0.698124 | + | 0.698124i | ||||
\(623\) | −11.1056 | − | 3.19791i | −0.0178260 | − | 0.00513308i | ||||
\(624\) | −101.892 | − | 82.7004i | −0.163289 | − | 0.132533i | ||||
\(625\) | 604.238 | − | 159.756i | 0.966780 | − | 0.255610i | ||||
\(626\) | −179.958 | + | 311.696i | −0.287473 | + | 0.497917i | ||||
\(627\) | 32.9596 | + | 14.7189i | 0.0525672 | + | 0.0234751i | ||||
\(628\) | 133.883 | − | 499.658i | 0.213189 | − | 0.795634i | ||||
\(629\) | − | 174.061i | − | 0.276726i | ||||||
\(630\) | −118.975 | + | 429.296i | −0.188849 | + | 0.681422i | ||||
\(631\) | −231.667 | −0.367143 | −0.183571 | − | 0.983006i | \(-0.558766\pi\) | ||||
−0.183571 | + | 0.983006i | \(0.558766\pi\) | |||||||
\(632\) | −211.564 | − | 56.6884i | −0.334753 | − | 0.0896969i | ||||
\(633\) | 164.725 | − | 368.865i | 0.260229 | − | 0.582724i | ||||
\(634\) | 154.233 | + | 89.0467i | 0.243270 | + | 0.140452i | ||||
\(635\) | −44.4534 | − | 39.0499i | −0.0700053 | − | 0.0614959i | ||||
\(636\) | −251.954 | + | 310.424i | −0.396154 | + | 0.488088i | ||||
\(637\) | 392.717 | − | 364.578i | 0.616510 | − | 0.572336i | ||||
\(638\) | 586.031 | + | 586.031i | 0.918543 | + | 0.918543i | ||||
\(639\) | −28.2066 | + | 25.2829i | −0.0441418 | + | 0.0395664i | ||||
\(640\) | −11.0820 | + | 55.4724i | −0.0173157 | + | 0.0866756i | ||||
\(641\) | −471.706 | − | 272.339i | −0.735890 | − | 0.424866i | 0.0846830 | − | 0.996408i | \(-0.473012\pi\) |
−0.820573 | + | 0.571542i | \(0.806346\pi\) | |||||||
\(642\) | 208.210 | − | 150.917i | 0.324315 | − | 0.235073i | ||||
\(643\) | −521.820 | − | 521.820i | −0.811539 | − | 0.811539i | 0.173326 | − | 0.984865i | \(-0.444549\pi\) |
−0.984865 | + | 0.173326i | \(0.944549\pi\) | |||||||
\(644\) | 176.707 | + | 3.28185i | 0.274390 | + | 0.00509604i | ||||
\(645\) | 413.634 | + | 901.868i | 0.641293 | + | 1.39824i | ||||
\(646\) | −5.50643 | − | 9.53741i | −0.00852388 | − | 0.0147638i | ||||
\(647\) | −258.810 | + | 69.3479i | −0.400016 | + | 0.107184i | −0.453218 | − | 0.891400i | \(-0.649724\pi\) |
0.0532020 | + | 0.998584i | \(0.483057\pi\) | |||||||
\(648\) | −178.691 | + | 143.378i | −0.275758 | + | 0.221263i | ||||
\(649\) | −726.101 | − | 1257.64i | −1.11880 | − | 1.93782i | ||||
\(650\) | −234.863 | − | 307.134i | −0.361327 | − | 0.472513i | ||||
\(651\) | 417.337 | + | 74.5516i | 0.641071 | + | 0.114519i | ||||
\(652\) | 26.9296 | + | 26.9296i | 0.0413030 | + | 0.0413030i | ||||
\(653\) | 22.9450 | − | 85.6319i | 0.0351378 | − | 0.131136i | −0.946129 | − | 0.323790i | \(-0.895043\pi\) |
0.981267 | + | 0.192654i | \(0.0617095\pi\) | |||||||
\(654\) | 113.726 | − | 43.5091i | 0.173894 | − | 0.0665277i | ||||
\(655\) | 469.190 | + | 703.456i | 0.716320 | + | 1.07398i | ||||
\(656\) | 150.037 | + | 259.872i | 0.228715 | + | 0.396147i | ||||
\(657\) | −179.227 | − | 116.964i | −0.272796 | − | 0.178027i | ||||
\(658\) | 499.968 | − | 124.063i | 0.759830 | − | 0.188546i | ||||
\(659\) | −80.5689 | −0.122259 | −0.0611297 | − | 0.998130i | \(-0.519470\pi\) | ||||
−0.0611297 | + | 0.998130i | \(0.519470\pi\) | |||||||
\(660\) | 580.650 | − | 98.6072i | 0.879773 | − | 0.149405i | ||||
\(661\) | 697.809 | + | 402.880i | 1.05569 | + | 0.609501i | 0.924236 | − | 0.381822i | \(-0.124703\pi\) |
0.131450 | + | 0.991323i | \(0.458037\pi\) | |||||||
\(662\) | −108.078 | − | 403.353i | −0.163260 | − | 0.609294i | ||||
\(663\) | 337.512 | − | 244.639i | 0.509068 | − | 0.368988i | ||||
\(664\) | −164.532 | −0.247789 | ||||||||
\(665\) | 4.59225 | − | 20.9538i | 0.00690564 | − | 0.0315094i | ||||
\(666\) | 170.634 | − | 35.8693i | 0.256207 | − | 0.0538578i | ||||
\(667\) | −97.5327 | + | 363.997i | −0.146226 | + | 0.545723i | ||||
\(668\) | 52.9778 | + | 197.716i | 0.0793081 | + | 0.295982i | ||||
\(669\) | −982.697 | + | 375.958i | −1.46890 | + | 0.561969i | ||||
\(670\) | 64.4847 | − | 4.17278i | 0.0962458 | − | 0.00622803i | ||||
\(671\) | −437.047 | −0.651337 | ||||||||
\(672\) | −67.9194 | − | 97.4626i | −0.101070 | − | 0.145034i | ||||
\(673\) | 231.974 | − | 231.974i | 0.344687 | − | 0.344687i | −0.513439 | − | 0.858126i | \(-0.671629\pi\) |
0.858126 | + | 0.513439i | \(0.171629\pi\) | |||||||
\(674\) | 348.075 | + | 602.884i | 0.516432 | + | 0.894486i | ||||
\(675\) | −610.698 | + | 287.529i | −0.904738 | + | 0.425969i | ||||
\(676\) | 49.4067 | − | 85.5750i | 0.0730869 | − | 0.126590i | ||||
\(677\) | −108.064 | + | 403.300i | −0.159622 | + | 0.595717i | 0.839043 | + | 0.544065i | \(0.183115\pi\) |
−0.998665 | + | 0.0516521i | \(0.983551\pi\) | |||||||
\(678\) | −87.1935 | + | 9.06550i | −0.128604 | + | 0.0133709i | ||||
\(679\) | −915.767 | − | 17.0079i | −1.34870 | − | 0.0250484i | ||||
\(680\) | −161.091 | − | 79.6077i | −0.236899 | − | 0.117070i | ||||
\(681\) | 35.1162 | − | 220.116i | 0.0515656 | − | 0.323225i | ||||
\(682\) | −145.066 | − | 541.395i | −0.212707 | − | 0.793835i | ||||
\(683\) | 830.156 | − | 222.440i | 1.21546 | − | 0.325680i | 0.406555 | − | 0.913626i | \(-0.366730\pi\) |
0.808900 | + | 0.587946i | \(0.200063\pi\) | |||||||
\(684\) | 8.21491 | − | 7.36342i | 0.0120101 | − | 0.0107652i | ||||
\(685\) | −401.226 | − | 1185.20i | −0.585731 | − | 1.73023i | ||||
\(686\) | 432.941 | − | 218.770i | 0.631109 | − | 0.318907i | ||||
\(687\) | 203.256 | − | 21.1325i | 0.295860 | − | 0.0307605i | ||||
\(688\) | −255.571 | − | 68.4800i | −0.371469 | − | 0.0995349i | ||||
\(689\) | 631.075 | + | 364.351i | 0.915929 | + | 0.528812i | ||||
\(690\) | 170.838 | + | 206.228i | 0.247591 | + | 0.298881i | ||||
\(691\) | −242.414 | + | 139.958i | −0.350816 | + | 0.202544i | −0.665045 | − | 0.746804i | \(-0.731587\pi\) |
0.314229 | + | 0.949347i | \(0.398254\pi\) | |||||||
\(692\) | 235.661 | + | 235.661i | 0.340550 | + | 0.340550i | ||||
\(693\) | −695.065 | + | 1023.04i | −1.00298 | + | 1.47625i | ||||
\(694\) | 813.279i | 1.17187i | ||||||||
\(695\) | −1145.57 | + | 74.1295i | −1.64830 | + | 0.106661i | ||||
\(696\) | 236.569 | − | 90.5060i | 0.339898 | − | 0.130037i | ||||
\(697\) | −920.697 | + | 246.700i | −1.32094 | + | 0.353945i | ||||
\(698\) | −145.710 | − | 39.0429i | −0.208754 | − | 0.0559354i | ||||
\(699\) | 603.727 | + | 490.011i | 0.863701 | + | 0.701018i | ||||
\(700\) | −127.370 | − | 326.001i | −0.181958 | − | 0.465716i | ||||
\(701\) | 1078.49i | 1.53850i | 0.638949 | + | 0.769249i | \(0.279370\pi\) | ||||
−0.638949 | + | 0.769249i | \(0.720630\pi\) | |||||||
\(702\) | 309.375 | + | 280.454i | 0.440705 | + | 0.399507i | ||||
\(703\) | −8.11002 | + | 2.17307i | −0.0115363 | + | 0.00309114i | ||||
\(704\) | −78.5284 | + | 136.015i | −0.111546 | + | 0.193203i | ||||
\(705\) | 636.541 | + | 451.729i | 0.902896 | + | 0.640750i | ||||
\(706\) | − | 37.8738i | − | 0.0536456i | ||||||
\(707\) | −695.049 | + | 172.471i | −0.983097 | + | 0.243948i | ||||
\(708\) | −441.445 | + | 45.8970i | −0.623510 | + | 0.0648263i | ||||
\(709\) | −379.565 | + | 219.142i | −0.535353 | + | 0.309086i | −0.743193 | − | 0.669077i | \(-0.766690\pi\) |
0.207841 | + | 0.978163i | \(0.433356\pi\) | |||||||
\(710\) | 5.83027 | − | 29.1841i | 0.00821165 | − | 0.0411043i | ||||
\(711\) | 662.345 | + | 216.853i | 0.931568 | + | 0.304998i | ||||
\(712\) | 4.51056 | + | 1.20860i | 0.00633506 | + | 0.00169747i | ||||
\(713\) | 180.208 | − | 180.208i | 0.252746 | − | 0.252746i | ||||
\(714\) | 354.876 | − | 128.265i | 0.497025 | − | 0.179643i | ||||
\(715\) | −344.212 | − | 1016.79i | −0.481415 | − | 1.42208i | ||||
\(716\) | −124.673 | + | 71.9801i | −0.174124 | + | 0.100531i | ||||
\(717\) | −40.5760 | + | 90.8607i | −0.0565913 | + | 0.126723i | ||||
\(718\) | −133.315 | − | 497.538i | −0.185675 | − | 0.692950i | ||||
\(719\) | −139.253 | + | 80.3980i | −0.193677 | + | 0.111819i | −0.593703 | − | 0.804685i | \(-0.702334\pi\) |
0.400026 | + | 0.916504i | \(0.369001\pi\) | |||||||
\(720\) | 44.8437 | − | 174.325i | 0.0622830 | − | 0.242117i | ||||
\(721\) | −897.447 | + | 496.154i | −1.24473 | + | 0.688147i | ||||
\(722\) | 360.624 | − | 360.624i | 0.499480 | − | 0.499480i | ||||
\(723\) | −690.756 | + | 500.680i | −0.955402 | + | 0.692504i | ||||
\(724\) | 134.777 | − | 233.441i | 0.186156 | − | 0.322432i | ||||
\(725\) | 740.042 | − | 96.1785i | 1.02075 | − | 0.132660i | ||||
\(726\) | 1107.83 | + | 176.737i | 1.52593 | + | 0.243440i | ||||
\(727\) | 694.902 | − | 694.902i | 0.955848 | − | 0.955848i | −0.0432176 | − | 0.999066i | \(-0.513761\pi\) |
0.999066 | + | 0.0432176i | \(0.0137609\pi\) | |||||||
\(728\) | −155.919 | + | 150.233i | −0.214174 | + | 0.206364i | ||||
\(729\) | 592.645 | − | 424.515i | 0.812956 | − | 0.582326i | ||||
\(730\) | 167.796 | − | 10.8580i | 0.229857 | − | 0.0148740i | ||||
\(731\) | 420.224 | − | 727.850i | 0.574862 | − | 0.995690i | ||||
\(732\) | −54.4652 | + | 121.962i | −0.0744060 | + | 0.166615i | ||||
\(733\) | −39.1333 | + | 146.048i | −0.0533879 | + | 0.199246i | −0.987469 | − | 0.157816i | \(-0.949555\pi\) |
0.934081 | + | 0.357062i | \(0.116222\pi\) | |||||||
\(734\) | − | 310.218i | − | 0.422640i | ||||||
\(735\) | 679.101 | + | 281.152i | 0.923947 | + | 0.382520i | ||||
\(736\) | −71.4128 | −0.0970282 | ||||||||
\(737\) | 173.296 | + | 46.4346i | 0.235138 | + | 0.0630049i | ||||
\(738\) | −431.574 | − | 851.732i | −0.584789 | − | 1.15411i | ||||
\(739\) | −1272.70 | − | 734.796i | −1.72220 | − | 0.994311i | −0.914355 | − | 0.404913i | \(-0.867302\pi\) |
−0.807843 | − | 0.589398i | \(-0.799365\pi\) | |||||||
\(740\) | −90.4110 | + | 102.921i | −0.122177 | + | 0.139083i | ||||
\(741\) | −15.6122 | − | 12.6715i | −0.0210691 | − | 0.0171006i | ||||
\(742\) | 457.697 | + | 475.020i | 0.616843 | + | 0.640189i | ||||
\(743\) | −51.7779 | − | 51.7779i | −0.0696876 | − | 0.0696876i | 0.671404 | − | 0.741092i | \(-0.265692\pi\) |
−0.741092 | + | 0.671404i | \(0.765692\pi\) | |||||||
\(744\) | −169.160 | − | 26.9869i | −0.227365 | − | 0.0362727i | ||||
\(745\) | −235.247 | − | 352.705i | −0.315767 | − | 0.473429i | ||||
\(746\) | 472.265 | + | 272.662i | 0.633062 | + | 0.365499i | ||||
\(747\) | 522.758 | + | 28.5730i | 0.699810 | + | 0.0382504i | ||||
\(748\) | −352.765 | − | 352.765i | −0.471611 | − | 0.471611i | ||||
\(749\) | −205.281 | − | 371.313i | −0.274073 | − | 0.495745i | ||||
\(750\) | 248.623 | − | 468.440i | 0.331498 | − | 0.624587i | ||||
\(751\) | −180.515 | − | 312.661i | −0.240366 | − | 0.416327i | 0.720452 | − | 0.693505i | \(-0.243934\pi\) |
−0.960819 | + | 0.277178i | \(0.910601\pi\) | |||||||
\(752\) | −201.052 | + | 53.8717i | −0.267356 | + | 0.0716379i | ||||
\(753\) | −164.639 | + | 368.671i | −0.218644 | + | 0.489603i | ||||
\(754\) | −230.830 | − | 399.809i | −0.306140 | − | 0.530250i | ||||
\(755\) | 618.698 | − | 1251.97i | 0.819468 | − | 1.65824i | ||||
\(756\) | 198.870 | + | 321.457i | 0.263056 | + | 0.425208i | ||||
\(757\) | −43.6499 | − | 43.6499i | −0.0576617 | − | 0.0576617i | 0.677688 | − | 0.735350i | \(-0.262982\pi\) |
−0.735350 | + | 0.677688i | \(0.762982\pi\) | |||||||
\(758\) | −139.576 | + | 520.904i | −0.184137 | + | 0.687208i | ||||
\(759\) | 265.673 | + | 694.428i | 0.350030 | + | 0.914926i | ||||
\(760\) | −1.69801 | + | 8.49959i | −0.00223423 | + | 0.0111837i | ||||
\(761\) | −15.0192 | − | 26.0141i | −0.0197362 | − | 0.0341840i | 0.855989 | − | 0.516995i | \(-0.172949\pi\) |
−0.875725 | + | 0.482811i | \(0.839616\pi\) | |||||||
\(762\) | −49.9376 | + | 5.19201i | −0.0655349 | + | 0.00681366i | ||||
\(763\) | −48.3849 | − | 194.989i | −0.0634140 | − | 0.255555i | ||||
\(764\) | −372.097 | −0.487038 | ||||||||
\(765\) | 498.000 | + | 280.908i | 0.650980 | + | 0.367200i | ||||
\(766\) | 755.495 | + | 436.186i | 0.986287 | + | 0.569433i | ||||
\(767\) | 209.368 | + | 781.371i | 0.272970 | + | 1.01874i | ||||
\(768\) | 28.1701 | + | 38.8644i | 0.0366798 | + | 0.0506047i | ||||
\(769\) | 701.312 | 0.911979 | 0.455990 | − | 0.889985i | \(-0.349285\pi\) | ||||
0.455990 | + | 0.889985i | \(0.349285\pi\) | |||||||
\(770\) | −44.7323 | − | 970.710i | −0.0580939 | − | 1.26066i | ||||
\(771\) | −294.910 | − | 239.362i | −0.382503 | − | 0.310456i | ||||
\(772\) | −68.5905 | + | 255.983i | −0.0888478 | + | 0.331584i | ||||
\(773\) | 56.6906 | + | 211.572i | 0.0733384 | + | 0.273703i | 0.992851 | − | 0.119357i | \(-0.0380833\pi\) |
−0.919513 | + | 0.393060i | \(0.871417\pi\) | |||||||
\(774\) | 800.117 | + | 261.960i | 1.03374 | + | 0.338450i | ||||
\(775\) | −465.956 | − | 193.912i | −0.601233 | − | 0.250209i | ||||
\(776\) | 370.090 | 0.476920 | ||||||||
\(777\) | −24.4316 | − | 286.645i | −0.0314436 | − | 0.368913i | ||||
\(778\) | 725.047 | − | 725.047i | 0.931937 | − | 0.931937i | ||||
\(779\) | 22.9890 | + | 39.8181i | 0.0295109 | + | 0.0511144i | ||||
\(780\) | −326.641 | − | 30.6573i | −0.418770 | − | 0.0393042i | ||||
\(781\) | 41.3139 | − | 71.5577i | 0.0528987 | − | 0.0916232i | ||||
\(782\) | 58.7105 | − | 219.111i | 0.0750774 | − | 0.280193i | ||||
\(783\) | −767.354 | + | 246.476i | −0.980018 | + | 0.314784i | ||||
\(784\) | −173.263 | + | 91.6296i | −0.220999 | + | 0.116875i | ||||
\(785\) | −414.672 | − | 1224.92i | −0.528244 | − | 1.56041i | ||||
\(786\) | 708.530 | + | 113.035i | 0.901438 | + | 0.143811i | ||||
\(787\) | −91.8852 | − | 342.920i | −0.116754 | − | 0.435731i | 0.882658 | − | 0.470015i | \(-0.155752\pi\) |
−0.999412 | + | 0.0342841i | \(0.989085\pi\) | |||||||
\(788\) | 527.901 | − | 141.451i | 0.669925 | − | 0.179506i | ||||
\(789\) | −37.9463 | + | 237.856i | −0.0480942 | + | 0.301465i | ||||
\(790\) | −518.655 | + | 175.579i | −0.656525 | + | 0.222252i | ||||
\(791\) | −2.68578 | + | 144.612i | −0.00339542 | + | 0.182822i | ||||
\(792\) | 273.124 | − | 418.515i | 0.344854 | − | 0.528428i | ||||
\(793\) | 235.157 | + | 63.0102i | 0.296542 | + | 0.0794581i | ||||
\(794\) | 101.341 | + | 58.5093i | 0.127634 | + | 0.0736893i | ||||
\(795\) | −93.4000 | + | 995.139i | −0.117484 | + | 1.25175i | ||||
\(796\) | 225.645 | − | 130.276i | 0.283473 | − | 0.163663i | ||||
\(797\) | −339.966 | − | 339.966i | −0.426556 | − | 0.426556i | 0.460897 | − | 0.887454i | \(-0.347528\pi\) |
−0.887454 | + | 0.460897i | \(0.847528\pi\) | |||||||
\(798\) | −10.4067 | − | 14.9334i | −0.0130410 | − | 0.0187136i | ||||
\(799\) | − | 661.162i | − | 0.827487i | ||||||
\(800\) | 53.9026 | + | 130.746i | 0.0673782 | + | 0.163432i | ||||
\(801\) | −14.1212 | − | 4.62333i | −0.0176295 | − | 0.00577194i | ||||
\(802\) | 742.996 | − | 199.085i | 0.926429 | − | 0.248236i | ||||
\(803\) | 450.936 | + | 120.828i | 0.561564 | + | 0.150470i | ||||
\(804\) | 34.5544 | − | 42.5733i | 0.0429781 | − | 0.0529519i | ||||
\(805\) | 372.073 | − | 238.302i | 0.462202 | − | 0.296028i | ||||
\(806\) | 312.217i | 0.387367i | ||||||||
\(807\) | −449.084 | + | 325.509i | −0.556485 | + | 0.403357i | ||||
\(808\) | 279.500 | − | 74.8918i | 0.345916 | − | 0.0926878i | ||||
\(809\) | −61.1804 | + | 105.968i | −0.0756248 | + | 0.130986i | −0.901358 | − | 0.433075i | \(-0.857428\pi\) |
0.825733 | + | 0.564061i | \(0.190762\pi\) | |||||||
\(810\) | −172.753 | + | 546.083i | −0.213275 | + | 0.674176i | ||||
\(811\) | 957.012i | 1.18004i | 0.807389 | + | 0.590020i | \(0.200880\pi\) | ||||
−0.807389 | + | 0.590020i | \(0.799120\pi\) | |||||||
\(812\) | −100.648 | − | 405.608i | −0.123951 | − | 0.499517i | ||||
\(813\) | 59.7820 | + | 574.994i | 0.0735326 | + | 0.707249i | ||||
\(814\) | −329.389 | + | 190.173i | −0.404655 | + | 0.233628i | ||||
\(815\) | 93.3655 | + | 18.6521i | 0.114559 | + | 0.0228861i | ||||
\(816\) | −142.404 | + | 54.4807i | −0.174515 | + | 0.0667655i | ||||
\(817\) | −39.1591 | − | 10.4926i | −0.0479303 | − | 0.0128429i | ||||
\(818\) | −372.329 | + | 372.329i | −0.455170 | + | 0.455170i | ||||
\(819\) | 521.481 | − | 450.248i | 0.636729 | − | 0.549754i | ||||
\(820\) | 672.546 | + | 332.357i | 0.820178 | + | 0.405314i | ||||
\(821\) | 920.486 | − | 531.443i | 1.12118 | − | 0.647312i | 0.179476 | − | 0.983762i | \(-0.442560\pi\) |
0.941701 | + | 0.336451i | \(0.109227\pi\) | |||||||
\(822\) | −969.465 | − | 432.938i | −1.17940 | − | 0.526688i | ||||
\(823\) | −29.6486 | − | 110.650i | −0.0360250 | − | 0.134447i | 0.945571 | − | 0.325415i | \(-0.105504\pi\) |
−0.981596 | + | 0.190968i | \(0.938837\pi\) | |||||||
\(824\) | 358.838 | − | 207.175i | 0.435483 | − | 0.251426i | ||||
\(825\) | 1070.86 | − | 1010.56i | 1.29802 | − | 1.22492i | ||||
\(826\) | −13.5976 | + | 732.147i | −0.0164620 | + | 0.886376i | ||||
\(827\) | 825.192 | − | 825.192i | 0.997814 | − | 0.997814i | −0.00218371 | − | 0.999998i | \(-0.500695\pi\) |
0.999998 | + | 0.00218371i | \(0.000695097\pi\) | |||||||
\(828\) | 226.895 | + | 12.4017i | 0.274028 | + | 0.0149779i | ||||
\(829\) | −344.862 | + | 597.318i | −0.415997 | + | 0.720528i | −0.995533 | − | 0.0944189i | \(-0.969901\pi\) |
0.579535 | + | 0.814947i | \(0.303234\pi\) | |||||||
\(830\) | −342.198 | + | 228.239i | −0.412287 | + | 0.274987i | ||||
\(831\) | −206.897 | + | 1296.88i | −0.248974 | + | 1.56062i | ||||
\(832\) | 61.8626 | − | 61.8626i | 0.0743541 | − | 0.0743541i | ||||
\(833\) | −138.696 | − | 606.941i | −0.166502 | − | 0.728621i | ||||
\(834\) | −613.858 | + | 756.315i | −0.736041 | + | 0.906853i | ||||
\(835\) | 384.456 | + | 337.724i | 0.460427 | + | 0.404460i | ||||
\(836\) | −12.0323 | + | 20.8405i | −0.0143927 | + | 0.0249289i | ||||
\(837\) | 532.775 | + | 115.121i | 0.636529 | + | 0.137539i | ||||
\(838\) | −105.822 | + | 394.932i | −0.126279 | + | 0.471279i | ||||
\(839\) | 633.111i | 0.754602i | 0.926091 | + | 0.377301i | \(0.123148\pi\) | ||||
−0.926091 | + | 0.377301i | \(0.876852\pi\) | |||||||
\(840\) | −276.461 | − | 108.488i | −0.329120 | − | 0.129152i | ||||
\(841\) | 50.0595 | 0.0595238 | ||||||||
\(842\) | −929.026 | − | 248.932i | −1.10336 | − | 0.295643i | ||||
\(843\) | 606.812 | + | 270.986i | 0.719824 | + | 0.321455i | ||||
\(844\) | 233.235 | + | 134.658i | 0.276345 | + | 0.159548i | ||||
\(845\) | −15.9521 | − | 246.518i | −0.0188782 | − | 0.291737i | ||||
\(846\) | 648.145 | − | 136.248i | 0.766129 | − | 0.161050i | ||||
\(847\) | 512.174 | − | 1778.66i | 0.604692 | − | 2.09996i | ||||
\(848\) | −188.470 | − | 188.470i | −0.222252 | − | 0.222252i | ||||
\(849\) | 187.459 | − | 1175.04i | 0.220800 | − | 1.38402i | ||||
\(850\) | −445.473 | + | 57.8953i | −0.524086 | + | 0.0681121i | ||||
\(851\) | −149.771 | − | 86.4705i | −0.175994 | − | 0.101610i | ||||
\(852\) | −14.8203 | − | 20.4466i | −0.0173947 | − | 0.0239984i | ||||
\(853\) | 148.087 | + | 148.087i | 0.173608 | + | 0.173608i | 0.788562 | − | 0.614955i | \(-0.210826\pi\) |
−0.614955 | + | 0.788562i | \(0.710826\pi\) | |||||||
\(854\) | 188.777 | + | 113.716i | 0.221050 | + | 0.133156i | ||||
\(855\) | 6.87105 | − | 26.7104i | 0.00803631 | − | 0.0312402i | ||||
\(856\) | 85.7175 | + | 148.467i | 0.100137 | + | 0.173443i | ||||
\(857\) | −1083.52 | + | 290.329i | −1.26432 | + | 0.338774i | −0.827853 | − | 0.560945i | \(-0.810438\pi\) |
−0.436469 | + | 0.899719i | \(0.643771\pi\) | |||||||
\(858\) | −831.705 | − | 371.418i | −0.969353 | − | 0.432888i | ||||
\(859\) | 590.351 | + | 1022.52i | 0.687254 | + | 1.19036i | 0.972723 | + | 0.231971i | \(0.0745175\pi\) |
−0.285468 | + | 0.958388i | \(0.592149\pi\) | |||||||
\(860\) | −626.538 | + | 212.101i | −0.728533 | + | 0.246629i | ||||
\(861\) | −1481.59 | + | 535.500i | −1.72077 | + | 0.621951i | ||||
\(862\) | −499.282 | − | 499.282i | −0.579214 | − | 0.579214i | ||||
\(863\) | −295.511 | + | 1102.86i | −0.342423 | + | 1.27794i | 0.553171 | + | 0.833068i | \(0.313417\pi\) |
−0.895594 | + | 0.444872i | \(0.853249\pi\) | |||||||
\(864\) | −82.7538 | − | 128.374i | −0.0957799 | − | 0.148581i | ||||
\(865\) | 817.042 | + | 163.225i | 0.944558 | + | 0.188700i | ||||
\(866\) | −62.7615 | − | 108.706i | −0.0724728 | − | 0.125527i | ||||
\(867\) | 39.5743 | + | 380.632i | 0.0456451 | + | 0.439022i | ||||
\(868\) | −78.2065 | + | 271.593i | −0.0900997 | + | 0.312896i | ||||
\(869\) | −1520.27 | −1.74945 | ||||||||
\(870\) | 366.473 | − | 516.405i | 0.421233 | − | 0.593569i | ||||
\(871\) | −86.5492 | − | 49.9692i | −0.0993676 | − | 0.0573699i | ||||
\(872\) | 21.0101 | + | 78.4107i | 0.0240941 | + | 0.0899205i | ||||
\(873\) | −1175.86 | − | 64.2706i | −1.34692 | − | 0.0736204i | ||||
\(874\) | −10.9420 | −0.0125195 | ||||||||
\(875\) | −717.137 | − | 501.338i | −0.819585 | − | 0.572957i | ||||
\(876\) | 89.9141 | − | 110.780i | 0.102642 | − | 0.126462i | ||||
\(877\) | −225.834 | + | 842.825i | −0.257508 | + | 0.961032i | 0.709171 | + | 0.705037i | \(0.249070\pi\) |
−0.966678 | + | 0.255995i | \(0.917597\pi\) | |||||||
\(878\) | 4.62996 | + | 17.2792i | 0.00527330 | + | 0.0196802i | ||||
\(879\) | 236.520 | + | 618.228i | 0.269078 | + | 0.703331i | ||||
\(880\) | 25.3547 | + | 391.823i | 0.0288122 | + | 0.445253i | ||||
\(881\) | −1627.99 | −1.84789 | −0.923944 | − | 0.382528i | \(-0.875054\pi\) | ||||
−0.923944 | + | 0.382528i | \(0.875054\pi\) | |||||||
\(882\) | 566.410 | − | 261.040i | 0.642188 | − | 0.295964i | ||||
\(883\) | 818.020 | − | 818.020i | 0.926410 | − | 0.926410i | −0.0710620 | − | 0.997472i | \(-0.522639\pi\) |
0.997472 | + | 0.0710620i | \(0.0226388\pi\) | |||||||
\(884\) | 138.950 | + | 240.668i | 0.157183 | + | 0.272248i | ||||
\(885\) | −854.461 | + | 707.830i | −0.965492 | + | 0.799808i | ||||
\(886\) | 58.6769 | − | 101.631i | 0.0662267 | − | 0.114708i | ||||
\(887\) | −285.319 | + | 1064.83i | −0.321668 | + | 1.20048i | 0.595952 | + | 0.803020i | \(0.296775\pi\) |
−0.917620 | + | 0.397460i | \(0.869892\pi\) | |||||||
\(888\) | 12.0209 | + | 115.619i | 0.0135370 | + | 0.130201i | ||||
\(889\) | −1.53820 | + | 82.8226i | −0.00173026 | + | 0.0931638i | ||||
\(890\) | 11.0578 | − | 3.74336i | 0.0124244 | − | 0.00420603i | ||||
\(891\) | −940.461 | + | 1282.29i | −1.05551 | + | 1.43916i | ||||
\(892\) | −181.546 | − | 677.538i | −0.203527 | − | 0.759572i | ||||
\(893\) | −30.8056 | + | 8.25433i | −0.0344967 | + | 0.00924337i | ||||
\(894\) | −355.249 | − | 56.6746i | −0.397370 | − | 0.0633944i | ||||
\(895\) | −159.448 | + | 322.653i | −0.178154 | + | 0.360506i | ||||
\(896\) | 69.3092 | − | 38.3176i | 0.0773540 | − | 0.0427652i | ||||
\(897\) | −42.8300 | − | 411.946i | −0.0477481 | − | 0.459249i | ||||
\(898\) | 757.540 | + | 202.982i | 0.843585 | + | 0.226038i | ||||
\(899\) | −521.883 | − | 301.309i | −0.580514 | − | 0.335160i | ||||
\(900\) | −148.556 | − | 424.772i | −0.165062 | − | 0.471969i | ||||
\(901\) | 733.215 | − | 423.322i | 0.813779 | − | 0.469835i | ||||
\(902\) | 1472.77 | + | 1472.77i | 1.63279 | + | 1.63279i | ||||
\(903\) | 589.867 | − | 1257.61i | 0.653230 | − | 1.39271i | ||||
\(904\) | − | 58.4423i | − | 0.0646486i | ||||||
\(905\) | −43.5159 | − | 672.478i | −0.0480838 | − | 0.743070i | ||||
\(906\) | −423.415 | − | 1106.74i | −0.467346 | − | 1.22157i | ||||
\(907\) | −250.037 | + | 66.9971i | −0.275674 | + | 0.0738667i | −0.394007 | − | 0.919107i | \(-0.628912\pi\) |
0.118333 | + | 0.992974i | \(0.462245\pi\) | |||||||
\(908\) | 143.536 | + | 38.4604i | 0.158080 | + | 0.0423573i | ||||
\(909\) | −901.044 | + | 189.410i | −0.991247 | + | 0.208372i | ||||
\(910\) | −115.881 | + | 528.749i | −0.127342 | + | 0.581042i | ||||
\(911\) | − | 1741.66i | − | 1.91181i | −0.293671 | − | 0.955906i | \(-0.594877\pi\) | ||
0.293671 | − | 0.955906i | \(-0.405123\pi\) | |||||||
\(912\) | 4.31628 | + | 5.95489i | 0.00473276 | + | 0.00652948i | ||||
\(913\) | −1103.10 | + | 295.576i | −1.20822 | + | 0.323741i | ||||
\(914\) | 357.843 | − | 619.802i | 0.391513 | − | 0.678120i | ||||
\(915\) | 55.9079 | + | 329.215i | 0.0611015 | + | 0.359797i | ||||
\(916\) | 136.234i | 0.148727i | ||||||||
\(917\) | 327.570 | − | 1137.58i | 0.357219 | − | 1.24054i | ||||
\(918\) | 461.914 | − | 148.368i | 0.503174 | − | 0.161621i | ||||
\(919\) | −354.938 | + | 204.924i | −0.386222 | + | 0.222985i | −0.680522 | − | 0.732728i | \(-0.738247\pi\) |
0.294300 | + | 0.955713i | \(0.404914\pi\) | |||||||
\(920\) | −148.526 | + | 99.0637i | −0.161441 | + | 0.107678i | ||||
\(921\) | 72.7201 | + | 190.080i | 0.0789578 | + | 0.206384i | ||||
\(922\) | −498.115 | − | 133.469i | −0.540254 | − | 0.144761i | ||||
\(923\) | −32.5460 | + | 32.5460i | −0.0352611 | + | 0.0352611i | ||||
\(924\) | −630.453 | − | 531.422i | −0.682308 | − | 0.575133i | ||||
\(925\) | −45.2666 | + | 339.477i | −0.0489368 | + | 0.367002i | ||||
\(926\) | −985.298 | + | 568.862i | −1.06404 | + | 0.614322i | ||||
\(927\) | −1176.09 | + | 595.929i | −1.26871 | + | 0.642857i | ||||
\(928\) | 43.7043 | + | 163.107i | 0.0470952 | + | 0.175762i | ||||
\(929\) | 868.797 | − | 501.600i | 0.935195 | − | 0.539935i | 0.0467445 | − | 0.998907i | \(-0.485115\pi\) |
0.888451 | + | 0.458972i | \(0.151782\pi\) | |||||||
\(930\) | −389.259 | + | 178.530i | −0.418559 | + | 0.191968i | ||||
\(931\) | −26.5477 | + | 14.0397i | −0.0285152 | + | 0.0150802i | ||||
\(932\) | −366.545 | + | 366.545i | −0.393288 | + | 0.393288i | ||||
\(933\) | 764.524 | + | 1054.76i | 0.819426 | + | 1.13051i | ||||
\(934\) | 40.4966 | − | 70.1422i | 0.0433583 | − | 0.0750987i | ||||
\(935\) | −1223.05 | − | 244.335i | −1.30807 | − | 0.261321i | ||||
\(936\) | −207.296 | + | 185.809i | −0.221470 | + | 0.198514i | ||||
\(937\) | 103.217 | − | 103.217i | 0.110157 | − | 0.110157i | −0.649880 | − | 0.760037i | \(-0.725181\pi\) |
0.760037 | + | 0.649880i | \(0.225181\pi\) | |||||||
\(938\) | −62.7712 | − | 65.1469i | −0.0669202 | − | 0.0694530i | ||||
\(939\) | 592.809 | + | 481.149i | 0.631319 | + | 0.512406i | ||||
\(940\) | −343.422 | + | 390.943i | −0.365343 | + | 0.415897i | ||||
\(941\) | 660.292 | − | 1143.66i | 0.701692 | − | 1.21537i | −0.266180 | − | 0.963923i | \(-0.585762\pi\) |
0.967872 | − | 0.251443i | \(-0.0809051\pi\) | |||||||
\(942\) | −1001.95 | − | 447.447i | −1.06365 | − | 0.474996i | ||||
\(943\) | −245.113 | + | 914.774i | −0.259929 | + | 0.970068i | ||||
\(944\) | − | 295.883i | − | 0.313435i | ||||||
\(945\) | 859.541 | + | 392.702i | 0.909567 | + | 0.415557i | ||||
\(946\) | −1836.49 | −1.94132 | ||||||||
\(947\) | −231.972 | − | 62.1566i | −0.244954 | − | 0.0656353i | 0.134253 | − | 0.990947i | \(-0.457137\pi\) |
−0.379207 | + | 0.925312i | \(0.623803\pi\) | |||||||
\(948\) | −189.457 | + | 424.246i | −0.199849 | + | 0.447516i | ||||
\(949\) | −225.210 | − | 130.025i | −0.237313 | − | 0.137013i | ||||
\(950\) | 8.25906 | + | 20.0332i | 0.00869375 | + | 0.0210875i | ||||
\(951\) | 238.082 | − | 293.333i | 0.250349 | − | 0.308447i | ||||
\(952\) | 60.5859 | + | 244.158i | 0.0636407 | + | 0.256469i | ||||
\(953\) | 715.611 | + | 715.611i | 0.750904 | + | 0.750904i | 0.974648 | − | 0.223744i | \(-0.0718280\pi\) |
−0.223744 | + | 0.974648i | \(0.571828\pi\) | |||||||
\(954\) | 566.083 | + | 631.544i | 0.593379 | + | 0.661995i | ||||
\(955\) | −773.898 | + | 516.173i | −0.810364 | + | 0.540496i | ||||
\(956\) | −57.4516 | − | 33.1697i | −0.0600958 | − | 0.0346964i | ||||
\(957\) | 1423.48 | − | 1031.78i | 1.48744 | − | 1.07814i | ||||
\(958\) | 149.800 | + | 149.800i | 0.156368 | + | 0.156368i | ||||
\(959\) | −903.913 | + | 1500.57i | −0.942558 | + | 1.56472i | ||||
\(960\) | 112.502 | + | 41.7538i | 0.117189 | + | 0.0434935i | ||||
\(961\) | −276.727 | − | 479.304i | −0.287957 | − | 0.498756i | ||||
\(962\) | 204.649 | − | 54.8355i | 0.212733 | − | 0.0570015i | ||||
\(963\) | −246.562 | − | 486.601i | −0.256035 | − | 0.505297i | ||||
\(964\) | −284.375 | − | 492.553i | −0.294995 | − | 0.510947i | ||||
\(965\) | 212.443 | + | 627.549i | 0.220149 | + | 0.650310i | ||||
\(966\) | 65.9301 | − | 369.074i | 0.0682506 | − | 0.382065i | ||||
\(967\) | 1023.53 | + | 1023.53i | 1.05846 | + | 1.05846i | 0.998182 | + | 0.0602752i | \(0.0191978\pi\) |
0.0602752 | + | 0.998182i | \(0.480802\pi\) | |||||||
\(968\) | −193.569 | + | 722.408i | −0.199968 | + | 0.746289i | ||||
\(969\) | −21.8195 | + | 8.34764i | −0.0225175 | + | 0.00861469i | ||||
\(970\) | 769.722 | − | 513.388i | 0.793528 | − | 0.529266i | ||||
\(971\) | 634.234 | + | 1098.53i | 0.653177 | + | 1.13134i | 0.982348 | + | 0.187065i | \(0.0598974\pi\) |
−0.329171 | + | 0.944270i | \(0.606769\pi\) | |||||||
\(972\) | 240.635 | + | 422.245i | 0.247567 | + | 0.434408i | ||||
\(973\) | 1115.13 | + | 1157.34i | 1.14607 | + | 1.18945i | ||||
\(974\) | 153.977 | 0.158088 | ||||||||
\(975\) | −721.883 | + | 389.354i | −0.740393 | + | 0.399337i | ||||
\(976\) | −77.1174 | − | 44.5237i | −0.0790137 | − | 0.0456186i | ||||
\(977\) | 373.308 | + | 1393.20i | 0.382096 | + | 1.42600i | 0.842694 | + | 0.538392i | \(0.180968\pi\) |
−0.460599 | + | 0.887609i | \(0.652365\pi\) | |||||||
\(978\) | 65.4127 | − | 47.4130i | 0.0668841 | − | 0.0484796i | ||||
\(979\) | 32.4122 | 0.0331075 | ||||||||
\(980\) | −233.248 | + | 430.924i | −0.238008 | + | 0.439718i | ||||
\(981\) | −53.1370 | − | 252.778i | −0.0541662 | − | 0.257674i | ||||
\(982\) | −57.1661 | + | 213.347i | −0.0582139 | + | 0.217257i | ||||
\(983\) | −409.434 | − | 1528.03i | −0.416514 | − | 1.55445i | −0.781783 | − | 0.623551i | \(-0.785689\pi\) |
0.365268 | − | 0.930902i | \(-0.380977\pi\) | |||||||
\(984\) | 594.530 | − | 227.454i | 0.604197 | − | 0.231152i | ||||
\(985\) | 901.722 | − | 1026.50i | 0.915454 | − | 1.04213i | ||||
\(986\) | −536.379 | −0.543995 | ||||||||
\(987\) | −92.8026 | − | 1088.81i | −0.0940249 | − | 1.10315i | ||||
\(988\) | 9.47872 | − | 9.47872i | 0.00959384 | − | 0.00959384i | ||||
\(989\) | −417.521 | − | 723.167i | −0.422165 | − | 0.731211i | ||||
\(990\) | −12.5131 | − | 1249.32i | −0.0126395 | − | 1.26194i | ||||
\(991\) | −280.787 | + | 486.337i | −0.283337 | + | 0.490754i | −0.972204 | − | 0.234133i | \(-0.924775\pi\) |
0.688868 | + | 0.724887i | \(0.258108\pi\) | |||||||
\(992\) | 29.5570 | − | 110.308i | 0.0297953 | − | 0.111198i | ||||
\(993\) | −881.075 | + | 91.6053i | −0.887286 | + | 0.0922511i | ||||
\(994\) | −36.4636 | + | 20.1589i | −0.0366837 | + | 0.0202806i | ||||
\(995\) | 288.583 | − | 583.965i | 0.290033 | − | 0.586900i | ||||
\(996\) | −54.9864 | + | 344.667i | −0.0552072 | + | 0.346051i | ||||
\(997\) | −128.077 | − | 477.989i | −0.128462 | − | 0.479428i | 0.871477 | − | 0.490436i | \(-0.163162\pi\) |
−0.999939 | + | 0.0110085i | \(0.996496\pi\) | |||||||
\(998\) | 949.366 | − | 254.382i | 0.951269 | − | 0.254892i | ||||
\(999\) | −18.1146 | − | 369.436i | −0.0181327 | − | 0.369806i |
(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 | 210.3.w.b.17.10 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.13 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.15 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.4 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.4 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.15 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.13 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.13 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.15 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.15 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.13 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.10 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.4 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.4 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.10 | yes | 64 | 105.68 | odd | 12 | inner |