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 | 47.4 | ||
Character | \(\chi\) | \(=\) | 210.47 |
Dual form | 210.3.w.b.143.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | − | 1.36603i | −0.183013 | − | 0.683013i | ||||
\(3\) | −1.76063 | − | 2.42903i | −0.586877 | − | 0.809676i | ||||
\(4\) | −1.73205 | + | 1.00000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 2.77440 | + | 4.15965i | 0.554880 | + | 0.831931i | ||||
\(6\) | −2.67368 | + | 3.29415i | −0.445613 | + | 0.549026i | ||||
\(7\) | −5.04081 | − | 4.85698i | −0.720115 | − | 0.693855i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.80035 | + | 8.55325i | −0.311150 | + | 0.950361i | ||||
\(10\) | 4.66669 | − | 5.31244i | 0.466669 | − | 0.531244i | ||||
\(11\) | −17.0019 | + | 9.81605i | −1.54563 | + | 0.892369i | −0.547160 | + | 0.837028i | \(0.684291\pi\) |
−0.998468 | + | 0.0553407i | \(0.982375\pi\) | |||||||
\(12\) | 5.47853 | + | 2.44657i | 0.456544 | + | 0.203881i | ||||
\(13\) | 7.73283 | + | 7.73283i | 0.594833 | + | 0.594833i | 0.938933 | − | 0.344100i | \(-0.111816\pi\) |
−0.344100 | + | 0.938933i | \(0.611816\pi\) | |||||||
\(14\) | −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 | ||||
\(17\) | −3.28852 | + | 12.2729i | −0.193442 | + | 0.721936i | 0.799223 | + | 0.601035i | \(0.205245\pi\) |
−0.992665 | + | 0.120901i | \(0.961422\pi\) | |||||||
\(18\) | 12.7090 | + | 0.694649i | 0.706053 | + | 0.0385916i | ||||
\(19\) | −0.306444 | + | 0.530777i | −0.0161286 | + | 0.0279356i | −0.873977 | − | 0.485967i | \(-0.838467\pi\) |
0.857848 | + | 0.513903i | \(0.171801\pi\) | |||||||
\(20\) | −8.96505 | − | 4.43033i | −0.448253 | − | 0.221517i | ||||
\(21\) | −2.92274 | + | 20.7956i | −0.139178 | + | 0.990267i | ||||
\(22\) | 19.6321 | + | 19.6321i | 0.892369 | + | 0.892369i | ||||
\(23\) | 12.1940 | − | 3.26736i | 0.530172 | − | 0.142059i | 0.0162043 | − | 0.999869i | \(-0.494842\pi\) |
0.513968 | + | 0.857810i | \(0.328175\pi\) | |||||||
\(24\) | 1.33679 | − | 8.37932i | 0.0556997 | − | 0.349138i | ||||
\(25\) | −9.60543 | + | 23.0811i | −0.384217 | + | 0.923243i | ||||
\(26\) | 7.73283 | − | 13.3937i | 0.297416 | − | 0.515140i | ||||
\(27\) | 25.7065 | − | 8.25698i | 0.952091 | − | 0.305814i | ||||
\(28\) | 13.5879 | + | 3.37173i | 0.485283 | + | 0.120419i | ||||
\(29\) | 29.8506 | 1.02933 | 0.514666 | − | 0.857391i | \(-0.327916\pi\) | ||||
0.514666 | + | 0.857391i | \(0.327916\pi\) | |||||||
\(30\) | −21.1204 | − | 1.98228i | −0.704013 | − | 0.0660760i | ||||
\(31\) | −17.4831 | + | 10.0939i | −0.563972 | + | 0.325610i | −0.754738 | − | 0.656026i | \(-0.772236\pi\) |
0.190766 | + | 0.981636i | \(0.438903\pi\) | |||||||
\(32\) | −5.46410 | − | 1.46410i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 53.7776 | + | 24.0156i | 1.62962 | + | 0.727747i | ||||
\(34\) | 17.9688 | 0.528494 | ||||||||
\(35\) | 6.21815 | − | 34.4432i | 0.177662 | − | 0.984092i | ||||
\(36\) | −3.70289 | − | 17.6150i | −0.102858 | − | 0.489306i | ||||
\(37\) | 13.2325 | − | 3.54563i | 0.357634 | − | 0.0958278i | −0.0755282 | − | 0.997144i | \(-0.524064\pi\) |
0.433162 | + | 0.901316i | \(0.357398\pi\) | |||||||
\(38\) | 0.837221 | + | 0.224333i | 0.0220321 | + | 0.00590349i | ||||
\(39\) | 5.16860 | − | 32.3979i | 0.132528 | − | 0.830716i | ||||
\(40\) | −2.77051 | + | 13.8681i | −0.0692627 | + | 0.346703i | ||||
\(41\) | −75.0186 | −1.82972 | −0.914861 | − | 0.403768i | \(-0.867700\pi\) | ||||
−0.914861 | + | 0.403768i | \(0.867700\pi\) | |||||||
\(42\) | 29.4771 | − | 3.61918i | 0.701837 | − | 0.0861710i | ||||
\(43\) | −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 | ||||
\(45\) | −43.3478 | + | 12.0816i | −0.963285 | + | 0.268480i | ||||
\(46\) | −8.92659 | − | 15.4613i | −0.194056 | − | 0.336116i | ||||
\(47\) | −50.2630 | + | 13.4679i | −1.06942 | + | 0.286552i | −0.750257 | − | 0.661147i | \(-0.770070\pi\) |
−0.319168 | + | 0.947698i | \(0.603403\pi\) | |||||||
\(48\) | −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 | ||||
\(51\) | 35.6011 | − | 13.6202i | 0.698061 | − | 0.267062i | ||||
\(52\) | −21.1265 | − | 5.66082i | −0.406278 | − | 0.108862i | ||||
\(53\) | 17.2462 | − | 64.3636i | 0.325400 | − | 1.21441i | −0.588510 | − | 0.808490i | \(-0.700285\pi\) |
0.913909 | − | 0.405918i | \(-0.133048\pi\) | |||||||
\(54\) | −20.6885 | − | 32.0934i | −0.383120 | − | 0.594323i | ||||
\(55\) | −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 | ||||
\(58\) | −10.9261 | − | 40.7767i | −0.188381 | − | 0.703047i | ||||
\(59\) | −64.0605 | + | 36.9854i | −1.08577 | + | 0.626871i | −0.932448 | − | 0.361305i | \(-0.882331\pi\) |
−0.153324 | + | 0.988176i | \(0.548998\pi\) | |||||||
\(60\) | 5.02275 | + | 29.5765i | 0.0837125 | + | 0.492942i | ||||
\(61\) | −19.2793 | − | 11.1309i | −0.316055 | − | 0.182474i | 0.333578 | − | 0.942723i | \(-0.391744\pi\) |
−0.649633 | + | 0.760248i | \(0.725077\pi\) | |||||||
\(62\) | 20.1878 | + | 20.1878i | 0.325610 | + | 0.325610i | ||||
\(63\) | 55.6590 | − | 29.5140i | 0.883476 | − | 0.468476i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −10.7119 | + | 53.6198i | −0.164799 | + | 0.824920i | ||||
\(66\) | 13.1220 | − | 82.2519i | 0.198819 | − | 1.24624i | ||||
\(67\) | −2.36524 | + | 8.82719i | −0.0353021 | + | 0.131749i | −0.981328 | − | 0.192342i | \(-0.938392\pi\) |
0.946026 | + | 0.324091i | \(0.105058\pi\) | |||||||
\(68\) | −6.57703 | − | 24.5458i | −0.0967210 | − | 0.360968i | ||||
\(69\) | −29.4056 | − | 23.8668i | −0.426168 | − | 0.345896i | ||||
\(70\) | −49.3263 | + | 4.11293i | −0.704661 | + | 0.0587562i | ||||
\(71\) | − | 4.20881i | − | 0.0592790i | −0.999561 | − | 0.0296395i | \(-0.990564\pi\) | ||
0.999561 | − | 0.0296395i | \(-0.00943592\pi\) | |||||||
\(72\) | −22.7072 | + | 11.5058i | −0.315378 | + | 0.159803i | ||||
\(73\) | 6.15460 | − | 22.9693i | 0.0843096 | − | 0.314648i | −0.910873 | − | 0.412687i | \(-0.864590\pi\) |
0.995183 | + | 0.0980391i | \(0.0312570\pi\) | |||||||
\(74\) | −9.68684 | − | 16.7781i | −0.130903 | − | 0.226731i | ||||
\(75\) | 72.9762 | − | 17.3054i | 0.973016 | − | 0.230739i | ||||
\(76\) | − | 1.22578i | − | 0.0161286i | ||||||
\(77\) | 133.380 | + | 33.0971i | 1.73220 | + | 0.429833i | ||||
\(78\) | −46.1482 | + | 4.79803i | −0.591644 | + | 0.0615132i | ||||
\(79\) | 67.0631 | + | 38.7189i | 0.848900 | + | 0.490113i | 0.860280 | − | 0.509822i | \(-0.170289\pi\) |
−0.0113794 | + | 0.999935i | \(0.503622\pi\) | |||||||
\(80\) | 19.9583 | − | 1.29149i | 0.249478 | − | 0.0161437i | ||||
\(81\) | −65.3160 | − | 47.9042i | −0.806371 | − | 0.591410i | ||||
\(82\) | 27.4587 | + | 102.477i | 0.334863 | + | 1.24972i | ||||
\(83\) | 41.1330 | − | 41.1330i | 0.495579 | − | 0.495579i | −0.414480 | − | 0.910059i | \(-0.636036\pi\) |
0.910059 | + | 0.414480i | \(0.136036\pi\) | |||||||
\(84\) | −15.7333 | − | 38.9418i | −0.187301 | − | 0.463593i | ||||
\(85\) | −60.1747 | + | 20.3709i | −0.707938 | + | 0.239657i | ||||
\(86\) | 81.0127 | + | 46.7727i | 0.942008 | + | 0.543869i | ||||
\(87\) | −52.5559 | − | 72.5080i | −0.604091 | − | 0.833425i | ||||
\(88\) | −53.6359 | − | 14.3717i | −0.609499 | − | 0.163315i | ||||
\(89\) | 1.42979 | + | 0.825490i | 0.0160651 | + | 0.00927517i | 0.508011 | − | 0.861351i | \(-0.330381\pi\) |
−0.491946 | + | 0.870626i | \(0.663714\pi\) | |||||||
\(90\) | 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 | ||||
\(93\) | 55.2997 | + | 24.6954i | 0.594621 | + | 0.265542i | ||||
\(94\) | 36.7950 | + | 63.7309i | 0.391437 | + | 0.677988i | ||||
\(95\) | −3.05804 | + | 0.197885i | −0.0321899 | + | 0.00208300i | ||||
\(96\) | 6.06393 | + | 15.8502i | 0.0631659 | + | 0.165106i | ||||
\(97\) | −92.5224 | + | 92.5224i | −0.953839 | + | 0.953839i | −0.998981 | − | 0.0451414i | \(-0.985626\pi\) |
0.0451414 | + | 0.998981i | \(0.485626\pi\) | |||||||
\(98\) | 66.2231 | − | 20.4083i | 0.675746 | − | 0.208248i | ||||
\(99\) | −36.3478 | − | 172.910i | −0.367149 | − | 1.74656i | ||||
\(100\) | −6.44398 | − | 49.5830i | −0.0644398 | − | 0.495830i | ||||
\(101\) | −51.1520 | − | 88.5979i | −0.506456 | − | 0.877207i | −0.999972 | − | 0.00747054i | \(-0.997622\pi\) |
0.493516 | − | 0.869737i | \(-0.335711\pi\) | |||||||
\(102\) | −31.6364 | − | 43.6467i | −0.310161 | − | 0.427909i | ||||
\(103\) | 141.503 | − | 37.9157i | 1.37382 | − | 0.368114i | 0.504947 | − | 0.863150i | \(-0.331512\pi\) |
0.868872 | + | 0.495036i | \(0.164845\pi\) | |||||||
\(104\) | 30.9313i | 0.297416i | ||||||||
\(105\) | −94.6114 | + | 45.5377i | −0.901061 | + | 0.433693i | ||||
\(106\) | −94.2349 | −0.889009 | ||||||||
\(107\) | −15.6874 | − | 58.5462i | −0.146611 | − | 0.547160i | −0.999678 | − | 0.0253594i | \(-0.991927\pi\) |
0.853067 | − | 0.521801i | \(-0.174740\pi\) | |||||||
\(108\) | −36.2679 | + | 40.0080i | −0.335814 | + | 0.370444i | ||||
\(109\) | −24.8552 | + | 14.3502i | −0.228029 | + | 0.131653i | −0.609663 | − | 0.792661i | \(-0.708695\pi\) |
0.381633 | + | 0.924314i | \(0.375362\pi\) | |||||||
\(110\) | −27.1955 | + | 136.130i | −0.247232 | + | 1.23755i | ||||
\(111\) | −31.9099 | − | 25.8995i | −0.287477 | − | 0.233329i | ||||
\(112\) | −26.9067 | + | 7.74790i | −0.240238 | + | 0.0691777i | ||||
\(113\) | −14.6106 | − | 14.6106i | −0.129297 | − | 0.129297i | 0.639497 | − | 0.768794i | \(-0.279143\pi\) |
−0.768794 | + | 0.639497i | \(0.779143\pi\) | |||||||
\(114\) | −0.929127 | − | 2.42860i | −0.00815023 | − | 0.0213035i | ||||
\(115\) | 47.4220 | + | 41.6577i | 0.412365 | + | 0.362241i | ||||
\(116\) | −51.7028 | + | 29.8506i | −0.445714 | + | 0.257333i | ||||
\(117\) | −87.7954 | + | 44.4861i | −0.750388 | + | 0.380223i | ||||
\(118\) | 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 | ||||
\(122\) | −8.14841 | + | 30.4103i | −0.0667902 | + | 0.249265i | ||||
\(123\) | 132.080 | + | 182.222i | 1.07382 | + | 1.48148i | ||||
\(124\) | 20.1878 | − | 34.9663i | 0.162805 | − | 0.281986i | ||||
\(125\) | −122.659 | + | 24.0808i | −0.981268 | + | 0.192647i | ||||
\(126\) | −60.6895 | − | 65.2287i | −0.481662 | − | 0.517688i | ||||
\(127\) | −8.36779 | − | 8.36779i | −0.0658881 | − | 0.0658881i | 0.673395 | − | 0.739283i | \(-0.264835\pi\) |
−0.739283 | + | 0.673395i | \(0.764835\pi\) | |||||||
\(128\) | 10.9282 | − | 2.92820i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 195.962 | + | 31.2627i | 1.51908 | + | 0.242347i | ||||
\(130\) | 77.1669 | − | 4.99344i | 0.593591 | − | 0.0384111i | ||||
\(131\) | −84.5571 | + | 146.457i | −0.645474 | + | 1.11799i | 0.338718 | + | 0.940888i | \(0.390007\pi\) |
−0.984192 | + | 0.177105i | \(0.943327\pi\) | |||||||
\(132\) | −117.161 | + | 12.1812i | −0.887584 | + | 0.0922821i | ||||
\(133\) | 4.12270 | − | 1.18715i | 0.0309977 | − | 0.00892593i | ||||
\(134\) | 12.9239 | 0.0964471 | ||||||||
\(135\) | 105.666 | + | 84.0218i | 0.782712 | + | 0.622384i | ||||
\(136\) | −31.1228 | + | 17.9688i | −0.228844 | + | 0.132123i | ||||
\(137\) | 241.728 | + | 64.7708i | 1.76444 | + | 0.472780i | 0.987609 | − | 0.156933i | \(-0.0501607\pi\) |
0.776828 | + | 0.629713i | \(0.216827\pi\) | |||||||
\(138\) | −21.8395 | + | 48.9046i | −0.158257 | + | 0.354381i | ||||
\(139\) | 229.593 | 1.65175 | 0.825875 | − | 0.563853i | \(-0.190682\pi\) | ||||
0.825875 | + | 0.563853i | \(0.190682\pi\) | |||||||
\(140\) | 23.6730 | + | 65.8755i | 0.169093 | + | 0.470540i | ||||
\(141\) | 121.209 | + | 98.3781i | 0.859635 | + | 0.697717i | ||||
\(142\) | −5.74934 | + | 1.54053i | −0.0404883 | + | 0.0108488i | ||||
\(143\) | −207.379 | − | 55.5670i | −1.45020 | − | 0.388580i | ||||
\(144\) | 24.0286 | + | 26.8072i | 0.166865 | + | 0.186161i | ||||
\(145\) | 82.8175 | + | 124.168i | 0.571155 | + | 0.856333i | ||||
\(146\) | −33.6294 | −0.230338 | ||||||||
\(147\) | 115.737 | − | 90.6310i | 0.787326 | − | 0.616537i | ||||
\(148\) | −19.3737 | + | 19.3737i | −0.130903 | + | 0.130903i | ||||
\(149\) | −42.3960 | + | 73.4319i | −0.284537 | + | 0.492832i | −0.972497 | − | 0.232917i | \(-0.925173\pi\) |
0.687960 | + | 0.725749i | \(0.258506\pi\) | |||||||
\(150\) | −50.3508 | − | 93.3531i | −0.335672 | − | 0.622354i | ||||
\(151\) | 139.651 | + | 241.882i | 0.924838 | + | 1.60187i | 0.791821 | + | 0.610753i | \(0.209133\pi\) |
0.133017 | + | 0.991114i | \(0.457533\pi\) | |||||||
\(152\) | −1.67444 | + | 0.448665i | −0.0110161 | + | 0.00295174i | ||||
\(153\) | −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 | ||||
\(156\) | 23.4456 | + | 61.2834i | 0.150293 | + | 0.392843i | ||||
\(157\) | −249.829 | − | 66.9415i | −1.59127 | − | 0.426379i | −0.648877 | − | 0.760894i | \(-0.724761\pi\) |
−0.942390 | + | 0.334515i | \(0.891428\pi\) | |||||||
\(158\) | 28.3442 | − | 105.782i | 0.179394 | − | 0.669507i | ||||
\(159\) | −186.705 | + | 71.4292i | −1.17425 | + | 0.449240i | ||||
\(160\) | −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 | ||||
\(163\) | −4.92845 | − | 18.3932i | −0.0302359 | − | 0.112842i | 0.949159 | − | 0.314798i | \(-0.101937\pi\) |
−0.979395 | + | 0.201956i | \(0.935270\pi\) | |||||||
\(164\) | 129.936 | − | 75.0186i | 0.792293 | − | 0.457431i | ||||
\(165\) | 49.3036 | + | 290.325i | 0.298810 | + | 1.75955i | ||||
\(166\) | −71.2445 | − | 41.1330i | −0.429184 | − | 0.247789i | ||||
\(167\) | −72.3691 | − | 72.3691i | −0.433348 | − | 0.433348i | 0.456418 | − | 0.889766i | \(-0.349132\pi\) |
−0.889766 | + | 0.456418i | \(0.849132\pi\) | |||||||
\(168\) | −47.4367 | + | 35.7457i | −0.282361 | + | 0.212772i | ||||
\(169\) | − | 49.4067i | − | 0.292348i | ||||||
\(170\) | 49.8526 | + | 74.7439i | 0.293250 | + | 0.439670i | ||||
\(171\) | −3.68171 | − | 4.10745i | −0.0215305 | − | 0.0240202i | ||||
\(172\) | 34.2400 | − | 127.785i | 0.199070 | − | 0.742938i | ||||
\(173\) | 43.1289 | + | 160.959i | 0.249300 | + | 0.930401i | 0.971173 | + | 0.238375i | \(0.0766149\pi\) |
−0.721873 | + | 0.692026i | \(0.756718\pi\) | |||||||
\(174\) | −79.8109 | + | 98.3325i | −0.458684 | + | 0.565129i | ||||
\(175\) | 160.523 | − | 69.6938i | 0.917277 | − | 0.398250i | ||||
\(176\) | 78.5284i | 0.446184i | ||||||||
\(177\) | 202.625 | + | 90.4872i | 1.14478 | + | 0.511227i | ||||
\(178\) | 0.604300 | − | 2.25528i | 0.00339495 | − | 0.0126701i | ||||
\(179\) | −35.9900 | − | 62.3366i | −0.201062 | − | 0.348249i | 0.747809 | − | 0.663914i | \(-0.231106\pi\) |
−0.948871 | + | 0.315665i | \(0.897772\pi\) | |||||||
\(180\) | 62.9990 | − | 64.2738i | 0.349995 | − | 0.357077i | ||||
\(181\) | 134.777i | 0.744624i | 0.928108 | + | 0.372312i | \(0.121435\pi\) | ||||
−0.928108 | + | 0.372312i | \(0.878565\pi\) | |||||||
\(182\) | −104.032 | + | 29.9566i | −0.571607 | + | 0.164597i | ||||
\(183\) | 6.90647 | + | 66.4275i | 0.0377403 | + | 0.362992i | ||||
\(184\) | 30.9226 | + | 17.8532i | 0.168058 | + | 0.0970282i | ||||
\(185\) | 51.4607 | + | 45.2055i | 0.278166 | + | 0.244354i | ||||
\(186\) | 13.4934 | − | 84.5800i | 0.0725454 | − | 0.454731i | ||||
\(187\) | −64.5605 | − | 240.943i | −0.345243 | − | 1.28847i | ||||
\(188\) | 73.5901 | − | 73.5901i | 0.391437 | − | 0.391437i | ||||
\(189\) | −169.685 | − | 83.2340i | −0.897806 | − | 0.440392i | ||||
\(190\) | 1.38964 | + | 4.10493i | 0.00731388 | + | 0.0216049i | ||||
\(191\) | 161.123 | + | 93.0244i | 0.843575 | + | 0.487038i | 0.858478 | − | 0.512850i | \(-0.171410\pi\) |
−0.0149025 | + | 0.999889i | \(0.504744\pi\) | |||||||
\(192\) | 19.4322 | − | 14.0851i | 0.101209 | − | 0.0733596i | ||||
\(193\) | −127.992 | − | 34.2952i | −0.663169 | − | 0.177696i | −0.0884931 | − | 0.996077i | \(-0.528205\pi\) |
−0.574676 | + | 0.818381i | \(0.694872\pi\) | |||||||
\(194\) | 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 | \(0.00604235\pi\) | |||||||
\(198\) | −222.895 | + | 112.941i | −1.12573 | + | 0.570411i | ||||
\(199\) | −65.1380 | − | 112.822i | −0.327326 | − | 0.566946i | 0.654654 | − | 0.755929i | \(-0.272814\pi\) |
−0.981980 | + | 0.188983i | \(0.939481\pi\) | |||||||
\(200\) | −65.3730 | + | 26.9513i | −0.326865 | + | 0.134756i | ||||
\(201\) | 25.6058 | − | 9.79620i | 0.127392 | − | 0.0487373i | ||||
\(202\) | −102.304 | + | 102.304i | −0.506456 | + | 0.506456i | ||||
\(203\) | −150.471 | − | 144.984i | −0.741237 | − | 0.714206i | ||||
\(204\) | −48.0427 | + | 59.1919i | −0.235504 | + | 0.290156i | ||||
\(205\) | −208.132 | − | 312.052i | −1.01528 | − | 1.52220i | ||||
\(206\) | −103.588 | − | 179.419i | −0.502853 | − | 0.870967i | ||||
\(207\) | −6.20085 | + | 113.448i | −0.0299558 | + | 0.548056i | ||||
\(208\) | 42.2530 | − | 11.3216i | 0.203139 | − | 0.0544310i | ||||
\(209\) | − | 12.0323i | − | 0.0575707i | ||||||
\(210\) | 96.8359 | + | 112.574i | 0.461123 | + | 0.536065i | ||||
\(211\) | 134.658 | 0.638191 | 0.319095 | − | 0.947723i | \(-0.396621\pi\) | ||||
0.319095 | + | 0.947723i | \(0.396621\pi\) | |||||||
\(212\) | 34.4924 | + | 128.727i | 0.162700 | + | 0.607204i | ||||
\(213\) | −10.2233 | + | 7.41016i | −0.0479968 | + | 0.0347895i | ||||
\(214\) | −74.2336 | + | 42.8588i | −0.346886 | + | 0.200275i | ||||
\(215\) | −324.324 | − | 64.7921i | −1.50849 | − | 0.301359i | ||||
\(216\) | 67.9269 | + | 34.8990i | 0.314476 | + | 0.161569i | ||||
\(217\) | 137.155 | + | 34.0339i | 0.632051 | + | 0.156838i | ||||
\(218\) | 28.7003 | + | 28.7003i | 0.131653 | + | 0.131653i | ||||
\(219\) | −66.6290 | + | 25.4907i | −0.304242 | + | 0.116396i | ||||
\(220\) | 195.911 | − | 12.6774i | 0.890506 | − | 0.0576244i | ||||
\(221\) | −120.334 | + | 69.4748i | −0.544497 | + | 0.314365i | ||||
\(222\) | −23.6995 | + | 53.0696i | −0.106755 | + | 0.239052i | ||||
\(223\) | 247.996 | + | 247.996i | 1.11209 | + | 1.11209i | 0.992867 | + | 0.119223i | \(0.0380404\pi\) |
0.119223 | + | 0.992867i | \(0.461960\pi\) | |||||||
\(224\) | 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 | ||||
\(227\) | 19.2302 | − | 71.7681i | 0.0847146 | − | 0.316159i | −0.910545 | − | 0.413409i | \(-0.864338\pi\) |
0.995260 | + | 0.0972500i | \(0.0310046\pi\) | |||||||
\(228\) | −2.97744 | + | 2.15814i | −0.0130590 | + | 0.00946552i | ||||
\(229\) | −34.0586 | + | 58.9912i | −0.148727 | + | 0.257603i | −0.930757 | − | 0.365637i | \(-0.880851\pi\) |
0.782030 | + | 0.623241i | \(0.214184\pi\) | |||||||
\(230\) | 39.5478 | − | 80.0274i | 0.171947 | − | 0.347945i | ||||
\(231\) | −154.439 | − | 382.255i | −0.668566 | − | 1.65478i | ||||
\(232\) | 59.7012 | + | 59.7012i | 0.257333 | + | 0.257333i | ||||
\(233\) | 250.355 | − | 67.0823i | 1.07448 | − | 0.287907i | 0.322150 | − | 0.946689i | \(-0.395595\pi\) |
0.752334 | + | 0.658782i | \(0.228928\pi\) | |||||||
\(234\) | 92.9045 | + | 103.648i | 0.397028 | + | 0.442939i | ||||
\(235\) | −195.471 | − | 171.711i | −0.831793 | − | 0.730686i | ||||
\(236\) | 73.9707 | − | 128.121i | 0.313435 | − | 0.542886i | ||||
\(237\) | −24.0241 | − | 231.068i | −0.101368 | − | 0.974970i | ||||
\(238\) | −90.5772 | − | 87.2741i | −0.380576 | − | 0.366698i | ||||
\(239\) | −33.1697 | −0.138785 | −0.0693927 | − | 0.997589i | \(-0.522106\pi\) | ||||
−0.0693927 | + | 0.997589i | \(0.522106\pi\) | |||||||
\(240\) | −38.2762 | − | 46.2053i | −0.159484 | − | 0.192522i | ||||
\(241\) | −246.276 | + | 142.188i | −1.02189 | + | 0.589990i | −0.914652 | − | 0.404243i | \(-0.867535\pi\) |
−0.107242 | + | 0.994233i | \(0.534202\pi\) | |||||||
\(242\) | −361.204 | − | 96.7843i | −1.49258 | − | 0.399935i | ||||
\(243\) | −1.36326 | + | 242.996i | −0.00561011 | + | 0.999984i | ||||
\(244\) | 44.5237 | 0.182474 | ||||||||
\(245\) | −198.635 | + | 143.420i | −0.810753 | + | 0.585388i | ||||
\(246\) | 200.576 | − | 247.123i | 0.815348 | − | 1.00456i | ||||
\(247\) | −6.47408 | + | 1.73473i | −0.0262109 | + | 0.00702318i | ||||
\(248\) | −55.1541 | − | 14.7785i | −0.222395 | − | 0.0595907i | ||||
\(249\) | −172.333 | − | 27.4932i | −0.692102 | − | 0.110414i | ||||
\(250\) | 77.7912 | + | 158.740i | 0.311165 | + | 0.634962i | ||||
\(251\) | 134.588 | 0.536205 | 0.268103 | − | 0.963390i | \(-0.413603\pi\) | ||||
0.268103 | + | 0.963390i | \(0.413603\pi\) | |||||||
\(252\) | −66.8902 | + | 106.779i | −0.265437 | + | 0.423725i | ||||
\(253\) | −175.248 | + | 175.248i | −0.692679 | + | 0.692679i | ||||
\(254\) | −8.36779 | + | 14.4934i | −0.0329441 | + | 0.0570608i | ||||
\(255\) | 155.427 | + | 110.300i | 0.609517 | + | 0.432551i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 122.294 | − | 32.7685i | 0.475852 | − | 0.127504i | −0.0129187 | − | 0.999917i | \(-0.504112\pi\) |
0.488770 | + | 0.872412i | \(0.337446\pi\) | |||||||
\(258\) | −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 | ||||
\(261\) | −83.5923 | + | 255.320i | −0.320277 | + | 0.978236i | ||||
\(262\) | 231.014 | + | 61.9001i | 0.881733 | + | 0.236260i | ||||
\(263\) | 20.7801 | − | 77.5522i | 0.0790116 | − | 0.294875i | −0.915101 | − | 0.403224i | \(-0.867890\pi\) |
0.994113 | + | 0.108348i | \(0.0345562\pi\) | |||||||
\(264\) | 59.5238 | + | 155.586i | 0.225469 | + | 0.589343i | ||||
\(265\) | 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 | ||||
\(268\) | −4.73048 | − | 17.6544i | −0.0176510 | − | 0.0658746i | ||||
\(269\) | −160.113 | + | 92.4410i | −0.595214 | + | 0.343647i | −0.767156 | − | 0.641460i | \(-0.778329\pi\) |
0.171943 | + | 0.985107i | \(0.444996\pi\) | |||||||
\(270\) | 76.0995 | − | 175.097i | 0.281850 | − | 0.648506i | ||||
\(271\) | −166.881 | − | 96.3488i | −0.615797 | − | 0.355531i | 0.159434 | − | 0.987209i | \(-0.449033\pi\) |
−0.775231 | + | 0.631678i | \(0.782367\pi\) | |||||||
\(272\) | 35.9376 | + | 35.9376i | 0.132123 | + | 0.132123i | ||||
\(273\) | −183.410 | + | 138.208i | −0.671831 | + | 0.506256i | ||||
\(274\) | − | 353.914i | − | 1.29166i | ||||||
\(275\) | −63.2545 | − | 486.710i | −0.230016 | − | 1.76985i | ||||
\(276\) | 74.7988 | + | 11.9330i | 0.271010 | + | 0.0432355i | ||||
\(277\) | 113.301 | − | 422.843i | 0.409027 | − | 1.52651i | −0.387478 | − | 0.921879i | \(-0.626654\pi\) |
0.796505 | − | 0.604631i | \(-0.206680\pi\) | |||||||
\(278\) | −84.0370 | − | 313.630i | −0.302291 | − | 1.12817i | ||||
\(279\) | −37.3766 | − | 177.804i | −0.133966 | − | 0.637291i | ||||
\(280\) | 81.3227 | − | 56.4501i | 0.290438 | − | 0.201608i | ||||
\(281\) | 221.523i | 0.788340i | 0.919038 | + | 0.394170i | \(0.128968\pi\) | ||||
−0.919038 | + | 0.394170i | \(0.871032\pi\) | |||||||
\(282\) | 90.0216 | − | 201.583i | 0.319226 | − | 0.714833i | ||||
\(283\) | 102.656 | − | 383.117i | 0.362741 | − | 1.35377i | −0.507715 | − | 0.861525i | \(-0.669510\pi\) |
0.870457 | − | 0.492245i | \(-0.163823\pi\) | |||||||
\(284\) | 4.20881 | + | 7.28987i | 0.0148197 | + | 0.0256685i | ||||
\(285\) | 5.86476 | + | 7.07967i | 0.0205781 | + | 0.0248410i | ||||
\(286\) | 303.623i | 1.06162i | ||||||||
\(287\) | 378.154 | + | 364.364i | 1.31761 | + | 1.26956i | ||||
\(288\) | 27.8242 | − | 42.6358i | 0.0966119 | − | 0.148041i | ||||
\(289\) | 110.471 | + | 63.7807i | 0.382254 | + | 0.220694i | ||||
\(290\) | 139.304 | − | 158.580i | 0.480357 | − | 0.546826i | ||||
\(291\) | 387.637 | + | 61.8417i | 1.33209 | + | 0.212514i | ||||
\(292\) | 12.3092 | + | 45.9386i | 0.0421548 | + | 0.157324i | ||||
\(293\) | 156.018 | − | 156.018i | 0.532484 | − | 0.532484i | −0.388827 | − | 0.921311i | \(-0.627120\pi\) |
0.921311 | + | 0.388827i | \(0.127120\pi\) | |||||||
\(294\) | −166.167 | − | 124.926i | −0.565193 | − | 0.424919i | ||||
\(295\) | −331.576 | − | 163.857i | −1.12399 | − | 0.555449i | ||||
\(296\) | 33.5562 | + | 19.3737i | 0.113366 | + | 0.0654516i | ||||
\(297\) | −356.008 | + | 392.720i | −1.19868 | + | 1.32229i | ||||
\(298\) | 115.828 | + | 31.0360i | 0.388684 | + | 0.104148i | ||||
\(299\) | 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 | ||||
\(303\) | −125.147 | + | 280.238i | −0.413026 | + | 0.924878i | ||||
\(304\) | 1.22578 | + | 2.12311i | 0.00403216 | + | 0.00698390i | ||||
\(305\) | −7.18776 | − | 111.077i | −0.0235664 | − | 0.364187i | ||||
\(306\) | −50.3190 | + | 153.691i | −0.164441 | + | 0.502260i | ||||
\(307\) | 47.9690 | − | 47.9690i | 0.156251 | − | 0.156251i | −0.624652 | − | 0.780903i | \(-0.714759\pi\) |
0.780903 | + | 0.624652i | \(0.214759\pi\) | |||||||
\(308\) | −264.118 | + | 76.0538i | −0.857525 | + | 0.246928i | ||||
\(309\) | −341.234 | − | 276.960i | −1.10432 | − | 0.896311i | ||||
\(310\) | −27.9652 | + | 139.983i | −0.0902104 | + | 0.451559i | ||||
\(311\) | 217.116 | + | 376.057i | 0.698124 | + | 1.20919i | 0.969116 | + | 0.246604i | \(0.0793147\pi\) |
−0.270993 | + | 0.962581i | \(0.587352\pi\) | |||||||
\(312\) | 75.1330 | − | 54.4586i | 0.240811 | − | 0.174547i | ||||
\(313\) | −245.827 | + | 65.8692i | −0.785390 | + | 0.210445i | −0.629160 | − | 0.777276i | \(-0.716601\pi\) |
−0.156230 | + | 0.987721i | \(0.549934\pi\) | |||||||
\(314\) | 365.775i | 1.16489i | ||||||||
\(315\) | 277.188 | + | 149.639i | 0.879963 | + | 0.475043i | ||||
\(316\) | −154.876 | −0.490113 | ||||||||
\(317\) | −32.5934 | − | 121.640i | −0.102818 | − | 0.383723i | 0.895270 | − | 0.445523i | \(-0.146982\pi\) |
−0.998089 | + | 0.0618007i | \(0.980316\pi\) | |||||||
\(318\) | 165.913 | + | 228.899i | 0.521739 | + | 0.719809i | ||||
\(319\) | −507.517 | + | 293.015i | −1.59096 | + | 0.918543i | ||||
\(320\) | −33.2772 | + | 22.1952i | −0.103991 | + | 0.0693600i | ||||
\(321\) | −114.591 | + | 141.183i | −0.356980 | + | 0.439824i | ||||
\(322\) | −30.0981 | + | 121.294i | −0.0934723 | + | 0.376689i | ||||
\(323\) | −5.50643 | − | 5.50643i | −0.0170478 | − | 0.0170478i | ||||
\(324\) | 161.035 | + | 17.6565i | 0.497021 | + | 0.0544955i | ||||
\(325\) | −252.759 | + | 104.205i | −0.777720 | + | 0.320630i | ||||
\(326\) | −23.3217 | + | 13.4648i | −0.0715389 | + | 0.0413030i | ||||
\(327\) | 78.6178 | + | 35.1086i | 0.240421 | + | 0.107366i | ||||
\(328\) | −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 | −0.998124 | − | 0.0612308i | \(-0.980497\pi\) |
0.552089 | + | 0.833785i | \(0.313831\pi\) | |||||||
\(332\) | −30.1115 | + | 112.378i | −0.0906972 | + | 0.338487i | ||||
\(333\) | −6.72895 | + | 123.110i | −0.0202071 | + | 0.369698i | ||||
\(334\) | −72.3691 | + | 125.347i | −0.216674 | + | 0.375290i | ||||
\(335\) | −43.2802 | + | 14.6516i | −0.129195 | + | 0.0437360i | ||||
\(336\) | 66.1926 | + | 51.7159i | 0.197002 | + | 0.153916i | ||||
\(337\) | 348.075 | + | 348.075i | 1.03286 | + | 1.03286i | 0.999441 | + | 0.0334221i | \(0.0106406\pi\) |
0.0334221 | + | 0.999441i | \(0.489359\pi\) | |||||||
\(338\) | −67.4908 | + | 18.0841i | −0.199677 | + | 0.0535033i | ||||
\(339\) | −9.76566 | + | 61.2134i | −0.0288073 | + | 0.180570i | ||||
\(340\) | 83.8548 | − | 95.4580i | 0.246632 | − | 0.280759i | ||||
\(341\) | 198.164 | − | 343.231i | 0.581127 | − | 1.00654i | ||||
\(342\) | −4.26329 | + | 6.53274i | −0.0124657 | + | 0.0191016i | ||||
\(343\) | 228.656 | − | 255.666i | 0.666637 | − | 0.745383i | ||||
\(344\) | −187.091 | −0.543869 | ||||||||
\(345\) | 17.6950 | − | 188.533i | 0.0512899 | − | 0.546473i | ||||
\(346\) | 204.088 | − | 117.830i | 0.589851 | − | 0.340550i | ||||
\(347\) | −555.480 | − | 148.840i | −1.60081 | − | 0.428935i | −0.655521 | − | 0.755177i | \(-0.727551\pi\) |
−0.945286 | + | 0.326242i | \(0.894217\pi\) | |||||||
\(348\) | 163.538 | + | 73.0316i | 0.469935 | + | 0.209861i | ||||
\(349\) | 106.667 | 0.305637 | 0.152818 | − | 0.988254i | \(-0.451165\pi\) | ||||
0.152818 | + | 0.988254i | \(0.451165\pi\) | |||||||
\(350\) | −153.959 | − | 193.769i | −0.439883 | − | 0.553627i | ||||
\(351\) | 262.633 | + | 134.934i | 0.748243 | + | 0.384427i | ||||
\(352\) | 107.272 | − | 28.7434i | 0.304750 | − | 0.0816574i | ||||
\(353\) | −25.8683 | − | 6.93139i | −0.0732813 | − | 0.0196357i | 0.221992 | − | 0.975048i | \(-0.428744\pi\) |
−0.295273 | + | 0.955413i | \(0.595411\pi\) | |||||||
\(354\) | 49.4418 | − | 309.912i | 0.139666 | − | 0.875458i | ||||
\(355\) | 17.5072 | − | 11.6769i | 0.0493160 | − | 0.0328927i | ||||
\(356\) | −3.30196 | −0.00927517 | ||||||||
\(357\) | −245.611 | − | 104.257i | −0.687986 | − | 0.292037i | ||||
\(358\) | −71.9801 | + | 71.9801i | −0.201062 | + | 0.201062i | ||||
\(359\) | −182.112 | + | 315.427i | −0.507275 | + | 0.878625i | 0.492690 | + | 0.870205i | \(0.336014\pi\) |
−0.999965 | + | 0.00842047i | \(0.997320\pi\) | |||||||
\(360\) | −110.859 | − | 62.5324i | −0.307941 | − | 0.173701i | ||||
\(361\) | 180.312 | + | 312.310i | 0.499480 | + | 0.865124i | ||||
\(362\) | 184.109 | − | 49.3318i | 0.508588 | − | 0.136276i | ||||
\(363\) | −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 | ||||
\(366\) | 88.2137 | − | 33.7486i | 0.241021 | − | 0.0922092i | ||||
\(367\) | −211.883 | − | 56.7738i | −0.577337 | − | 0.154697i | −0.0416774 | − | 0.999131i | \(-0.513270\pi\) |
−0.535659 | + | 0.844434i | \(0.679937\pi\) | |||||||
\(368\) | 13.0694 | − | 48.7758i | 0.0355148 | − | 0.132543i | ||||
\(369\) | 210.079 | − | 641.653i | 0.569319 | − | 1.73890i | ||||
\(370\) | 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 | ||||
\(373\) | −99.8013 | − | 372.463i | −0.267564 | − | 0.998561i | −0.960662 | − | 0.277719i | \(-0.910422\pi\) |
0.693099 | − | 0.720843i | \(-0.256245\pi\) | |||||||
\(374\) | −305.504 | + | 176.383i | −0.816854 | + | 0.471611i | ||||
\(375\) | 274.449 | + | 255.543i | 0.731865 | + | 0.681449i | ||||
\(376\) | −127.462 | − | 73.5901i | −0.338994 | − | 0.195718i | ||||
\(377\) | 230.830 | + | 230.830i | 0.612280 | + | 0.612280i | ||||
\(378\) | −51.5907 | + | 262.260i | −0.136483 | + | 0.693810i | ||||
\(379\) | 381.328i | 1.00614i | 0.864245 | + | 0.503071i | \(0.167797\pi\) | ||||
−0.864245 | + | 0.503071i | \(0.832203\pi\) | |||||||
\(380\) | 5.09880 | − | 3.40079i | 0.0134179 | − | 0.00894945i | ||||
\(381\) | −5.59300 | + | 35.0582i | −0.0146798 | + | 0.0920163i | ||||
\(382\) | 68.0986 | − | 254.147i | 0.178268 | − | 0.665307i | ||||
\(383\) | 159.655 | + | 595.841i | 0.416854 | + | 1.55572i | 0.781093 | + | 0.624414i | \(0.214662\pi\) |
−0.364240 | + | 0.931305i | \(0.618671\pi\) | |||||||
\(384\) | −26.3532 | − | 21.3894i | −0.0686282 | − | 0.0557016i | ||||
\(385\) | 232.376 | + | 646.638i | 0.603574 | + | 1.67958i | ||||
\(386\) | 187.393i | 0.485473i | ||||||||
\(387\) | −269.078 | − | 531.039i | −0.695293 | − | 1.37219i | ||||
\(388\) | 67.7311 | − | 252.776i | 0.174565 | − | 0.651484i | ||||
\(389\) | 362.523 | + | 627.909i | 0.931937 | + | 1.61416i | 0.780008 | + | 0.625770i | \(0.215215\pi\) |
0.151929 | + | 0.988391i | \(0.451451\pi\) | |||||||
\(390\) | −147.992 | − | 178.649i | −0.379466 | − | 0.458074i | ||||
\(391\) | 160.400i | 0.410230i | ||||||||
\(392\) | −94.2935 | + | 101.571i | −0.240545 | + | 0.259111i | ||||
\(393\) | 504.622 | − | 52.4655i | 1.28403 | − | 0.133500i | ||||
\(394\) | −334.676 | − | 193.225i | −0.849431 | − | 0.490419i | ||||
\(395\) | 25.0026 | + | 386.381i | 0.0632977 | + | 0.978180i | ||||
\(396\) | 235.866 | + | 263.141i | 0.595621 | + | 0.664497i | ||||
\(397\) | 21.4159 | + | 79.9252i | 0.0539443 | + | 0.201323i | 0.987639 | − | 0.156748i | \(-0.0501012\pi\) |
−0.933694 | + | 0.358071i | \(0.883434\pi\) | |||||||
\(398\) | −130.276 | + | 130.276i | −0.327326 | + | 0.327326i | ||||
\(399\) | −10.1422 | − | 7.92401i | −0.0254190 | − | 0.0198597i | ||||
\(400\) | 60.7443 | + | 79.4363i | 0.151861 | + | 0.198591i | ||||
\(401\) | −471.040 | − | 271.955i | −1.17466 | − | 0.678193i | −0.219890 | − | 0.975525i | \(-0.570570\pi\) |
−0.954774 | + | 0.297332i | \(0.903903\pi\) | |||||||
\(402\) | −22.7542 | − | 31.3925i | −0.0566026 | − | 0.0780909i | ||||
\(403\) | −213.248 | − | 57.1398i | −0.529153 | − | 0.141786i | ||||
\(404\) | 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 | ||||
\(408\) | 98.4425 | + | 43.9619i | 0.241281 | + | 0.107750i | ||||
\(409\) | 186.164 | + | 322.446i | 0.455170 | + | 0.788377i | 0.998698 | − | 0.0510136i | \(-0.0162452\pi\) |
−0.543528 | + | 0.839391i | \(0.682912\pi\) | |||||||
\(410\) | −350.089 | + | 398.532i | −0.853875 | + | 0.972029i | ||||
\(411\) | −268.264 | − | 701.201i | −0.652710 | − | 1.70609i | ||||
\(412\) | −207.175 | + | 207.175i | −0.502853 | + | 0.502853i | ||||
\(413\) | 502.554 | + | 124.705i | 1.21684 | + | 0.301949i | ||||
\(414\) | 157.242 | − | 33.0542i | 0.379812 | − | 0.0798411i | ||||
\(415\) | 285.219 | + | 56.9797i | 0.687274 | + | 0.137301i | ||||
\(416\) | −30.9313 | − | 53.5746i | −0.0743541 | − | 0.128785i | ||||
\(417\) | −404.229 | − | 557.688i | −0.969374 | − | 1.33738i | ||||
\(418\) | −16.4364 | + | 4.40412i | −0.0393215 | + | 0.0105362i | ||||
\(419\) | − | 289.110i | − | 0.690000i | −0.938603 | − | 0.345000i | \(-0.887879\pi\) | ||
0.938603 | − | 0.345000i | \(-0.112121\pi\) | |||||||
\(420\) | 118.334 | − | 173.485i | 0.281748 | − | 0.413060i | ||||
\(421\) | −680.094 | −1.61543 | −0.807713 | − | 0.589576i | \(-0.799295\pi\) | ||||
−0.807713 | + | 0.589576i | \(0.799295\pi\) | |||||||
\(422\) | −49.2883 | − | 183.947i | −0.116797 | − | 0.435892i | ||||
\(423\) | 25.5597 | − | 467.627i | 0.0604247 | − | 1.10550i | ||||
\(424\) | 163.220 | − | 94.2349i | 0.384952 | − | 0.222252i | ||||
\(425\) | −251.684 | − | 193.789i | −0.592198 | − | 0.455974i | ||||
\(426\) | 13.8645 | + | 11.2530i | 0.0325457 | + | 0.0264155i | ||||
\(427\) | 43.1207 | + | 149.748i | 0.100985 | + | 0.350699i | ||||
\(428\) | 85.7175 | + | 85.7175i | 0.200275 | + | 0.200275i | ||||
\(429\) | 230.144 | + | 601.562i | 0.536466 | + | 1.40224i | ||||
\(430\) | 30.2033 | + | 466.751i | 0.0702402 | + | 1.08547i | ||||
\(431\) | 432.391 | − | 249.641i | 1.00323 | − | 0.579214i | 0.0940260 | − | 0.995570i | \(-0.470026\pi\) |
0.909202 | + | 0.416356i | \(0.136693\pi\) | |||||||
\(432\) | 22.8099 | − | 105.564i | 0.0528008 | − | 0.244361i | ||||
\(433\) | 62.7615 | + | 62.7615i | 0.144946 | + | 0.144946i | 0.775856 | − | 0.630910i | \(-0.217318\pi\) |
−0.630910 | + | 0.775856i | \(0.717318\pi\) | |||||||
\(434\) | −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 | ||||
\(437\) | −2.00253 | + | 7.47353i | −0.00458244 | + | 0.0171019i | ||||
\(438\) | 59.2089 | + | 81.6867i | 0.135180 | + | 0.186499i | ||||
\(439\) | −6.32464 | + | 10.9546i | −0.0144069 | + | 0.0249535i | −0.873139 | − | 0.487471i | \(-0.837919\pi\) |
0.858732 | + | 0.512425i | \(0.171253\pi\) | |||||||
\(440\) | −89.0261 | − | 262.980i | −0.202332 | − | 0.597681i | ||||
\(441\) | −423.915 | − | 121.560i | −0.961259 | − | 0.275647i | ||||
\(442\) | 138.950 | + | 138.950i | 0.314365 | + | 0.314365i | ||||
\(443\) | −80.1541 | + | 21.4772i | −0.180935 | + | 0.0484813i | −0.348149 | − | 0.937439i | \(-0.613190\pi\) |
0.167214 | + | 0.985921i | \(0.446523\pi\) | |||||||
\(444\) | 81.1691 | + | 12.9493i | 0.182813 | + | 0.0291651i | ||||
\(445\) | 0.533057 | + | 8.23767i | 0.00119788 | + | 0.0185116i | ||||
\(446\) | 247.996 | − | 429.542i | 0.556045 | − | 0.963099i | ||||
\(447\) | 253.012 | − | 26.3056i | 0.566022 | − | 0.0588493i | ||||
\(448\) | 38.8559 | − | 40.3264i | 0.0867318 | − | 0.0900144i | ||||
\(449\) | 554.557 | 1.23509 | 0.617547 | − | 0.786534i | \(-0.288126\pi\) | ||||
0.617547 | + | 0.786534i | \(0.288126\pi\) | |||||||
\(450\) | −138.108 | + | 286.664i | −0.306907 | + | 0.637031i | ||||
\(451\) | 1275.46 | − | 736.387i | 2.82807 | − | 1.63279i | ||||
\(452\) | 39.9168 | + | 10.6957i | 0.0883116 | + | 0.0236630i | ||||
\(453\) | 341.665 | − | 765.080i | 0.754227 | − | 1.68892i | ||||
\(454\) | −105.076 | −0.231445 | ||||||||
\(455\) | 314.427 | − | 218.260i | 0.691049 | − | 0.479691i | ||||
\(456\) | 4.03789 | + | 3.27733i | 0.00885503 | + | 0.00718713i | ||||
\(457\) | −488.822 | + | 130.979i | −1.06963 | + | 0.286607i | −0.750342 | − | 0.661050i | \(-0.770111\pi\) |
−0.319290 | + | 0.947657i | \(0.603445\pi\) | |||||||
\(458\) | 93.0497 | + | 24.9326i | 0.203165 | + | 0.0544380i | ||||
\(459\) | 16.8010 | + | 342.646i | 0.0366035 | + | 0.746506i | ||||
\(460\) | −123.795 | − | 24.7312i | −0.269119 | − | 0.0537635i | ||||
\(461\) | 364.645 | 0.790987 | 0.395494 | − | 0.918469i | \(-0.370573\pi\) | ||||
0.395494 | + | 0.918469i | \(0.370573\pi\) | |||||||
\(462\) | −465.641 | + | 350.882i | −1.00788 | + | 0.759485i | ||||
\(463\) | −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 | ||||
\(465\) | 50.6991 | + | 298.543i | 0.109030 | + | 0.642027i | ||||
\(466\) | −183.272 | − | 317.437i | −0.393288 | − | 0.681195i | ||||
\(467\) | 55.3194 | − | 14.8228i | 0.118457 | − | 0.0317405i | −0.199104 | − | 0.979978i | \(-0.563803\pi\) |
0.317561 | + | 0.948238i | \(0.397136\pi\) | |||||||
\(468\) | 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 | ||||
\(471\) | 277.254 | + | 724.701i | 0.588650 | + | 1.53864i | ||||
\(472\) | −202.092 | − | 54.1503i | −0.428161 | − | 0.114725i | ||||
\(473\) | 336.102 | − | 1254.35i | 0.710574 | − | 2.65190i | ||||
\(474\) | −306.851 | + | 117.394i | −0.647365 | + | 0.247667i | ||||
\(475\) | −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 | ||||
\(478\) | 12.1410 | + | 45.3107i | 0.0253995 | + | 0.0947922i | ||||
\(479\) | 129.731 | − | 74.9002i | 0.270837 | − | 0.156368i | −0.358431 | − | 0.933556i | \(-0.616688\pi\) |
0.629268 | + | 0.777188i | \(0.283355\pi\) | |||||||
\(480\) | −49.1076 | + | 69.1986i | −0.102307 | + | 0.144164i | ||||
\(481\) | 129.742 | + | 74.9067i | 0.269734 | + | 0.155731i | ||||
\(482\) | 284.375 | + | 284.375i | 0.589990 | + | 0.589990i | ||||
\(483\) | 32.3070 | + | 263.130i | 0.0668881 | + | 0.544784i | ||||
\(484\) | 528.839i | 1.09264i | ||||||||
\(485\) | −641.555 | − | 128.167i | −1.32279 | − | 0.264262i | ||||
\(486\) | 332.438 | − | 87.0805i | 0.684029 | − | 0.179178i | ||||
\(487\) | −28.1798 | + | 105.168i | −0.0578641 | + | 0.215952i | −0.988804 | − | 0.149221i | \(-0.952323\pi\) |
0.930940 | + | 0.365173i | \(0.118990\pi\) | |||||||
\(488\) | −16.2968 | − | 60.8205i | −0.0333951 | − | 0.124632i | ||||
\(489\) | −36.0005 | + | 44.3550i | −0.0736206 | + | 0.0907056i | ||||
\(490\) | 268.621 | + | 218.844i | 0.548206 | + | 0.446621i | ||||
\(491\) | 156.181i | 0.318087i | 0.987272 | + | 0.159043i | \(0.0508410\pi\) | ||||
−0.987272 | + | 0.159043i | \(0.949159\pi\) | |||||||
\(492\) | −410.992 | − | 183.538i | −0.835349 | − | 0.373045i | ||||
\(493\) | −98.1642 | + | 366.354i | −0.199116 | + | 0.743111i | ||||
\(494\) | 4.73936 | + | 8.20881i | 0.00959384 | + | 0.0166170i | ||||
\(495\) | 618.402 | − | 630.915i | 1.24930 | − | 1.27458i | ||||
\(496\) | 80.7512i | 0.162805i | ||||||||
\(497\) | −20.4421 | + | 21.2158i | −0.0411310 | + | 0.0426877i | ||||
\(498\) | 25.5220 | + | 245.475i | 0.0512491 | + | 0.492922i | ||||
\(499\) | −601.874 | − | 347.492i | −1.20616 | − | 0.696377i | −0.244242 | − | 0.969714i | \(-0.578539\pi\) |
−0.961918 | + | 0.273337i | \(0.911873\pi\) | |||||||
\(500\) | 188.370 | − | 164.368i | 0.376740 | − | 0.328736i | ||||
\(501\) | −48.3712 | + | 303.202i | −0.0965494 | + | 0.605193i | ||||
\(502\) | −49.2625 | − | 183.850i | −0.0981324 | − | 0.366235i | ||||
\(503\) | −159.128 | + | 159.128i | −0.316358 | + | 0.316358i | −0.847366 | − | 0.531009i | \(-0.821813\pi\) |
0.531009 | + | 0.847366i | \(0.321813\pi\) | |||||||
\(504\) | 170.346 | + | 52.2900i | 0.337988 | + | 0.103750i | ||||
\(505\) | 226.620 | − | 458.581i | 0.448753 | − | 0.908080i | ||||
\(506\) | 303.538 | + | 175.248i | 0.599878 | + | 0.346340i | ||||
\(507\) | −120.010 | + | 86.9870i | −0.236707 | + | 0.171572i | ||||
\(508\) | 22.8612 | + | 6.12565i | 0.0450024 | + | 0.0120584i | ||||
\(509\) | −303.860 | − | 175.434i | −0.596974 | − | 0.344663i | 0.170876 | − | 0.985293i | \(-0.445340\pi\) |
−0.767850 | + | 0.640629i | \(0.778674\pi\) | |||||||
\(510\) | 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 | ||||
\(513\) | −3.49498 | + | 16.1747i | −0.00681283 | + | 0.0315296i | ||||
\(514\) | −89.5253 | − | 155.062i | −0.174174 | − | 0.301678i | ||||
\(515\) | 550.303 | + | 483.412i | 1.06855 | + | 0.938664i | ||||
\(516\) | −370.678 | + | 141.813i | −0.718369 | + | 0.274832i | ||||
\(517\) | 722.364 | − | 722.364i | 1.39722 | − | 1.39722i | ||||
\(518\) | −32.6614 | + | 131.624i | −0.0630530 | + | 0.254100i | ||||
\(519\) | 315.041 | − | 388.152i | 0.607015 | − | 0.747884i | ||||
\(520\) | −128.664 | + | 85.8158i | −0.247430 | + | 0.165030i | ||||
\(521\) | −27.9815 | − | 48.4653i | −0.0537072 | − | 0.0930237i | 0.837922 | − | 0.545790i | \(-0.183770\pi\) |
−0.891629 | + | 0.452767i | \(0.850437\pi\) | |||||||
\(522\) | 379.370 | + | 20.7357i | 0.726763 | + | 0.0397236i | ||||
\(523\) | −845.912 | + | 226.661i | −1.61742 | + | 0.433387i | −0.950243 | − | 0.311510i | \(-0.899165\pi\) |
−0.667180 | + | 0.744897i | \(0.732499\pi\) | |||||||
\(524\) | − | 338.228i | − | 0.645474i | ||||||
\(525\) | −451.911 | − | 267.211i | −0.860783 | − | 0.508973i | ||||
\(526\) | −113.544 | −0.215864 | ||||||||
\(527\) | −66.3879 | − | 247.763i | −0.125973 | − | 0.470138i | ||||
\(528\) | 190.748 | − | 138.260i | 0.361265 | − | 0.261855i | ||||
\(529\) | −320.111 | + | 184.816i | −0.605124 | + | 0.349368i | ||||
\(530\) | −261.445 | − | 391.985i | −0.493293 | − | 0.739593i | ||||
\(531\) | −136.953 | − | 651.498i | −0.257915 | − | 1.22693i | ||||
\(532\) | −5.95357 | + | 6.17890i | −0.0111909 | + | 0.0116145i | ||||
\(533\) | −580.106 | − | 580.106i | −1.08838 | − | 1.08838i | ||||
\(534\) | −6.54209 | + | 2.50285i | −0.0122511 | + | 0.00468699i | ||||
\(535\) | 200.009 | − | 227.685i | 0.373848 | − | 0.425579i | ||||
\(536\) | −22.3849 | + | 12.9239i | −0.0417628 | + | 0.0241118i | ||||
\(537\) | −88.0521 | + | 197.173i | −0.163970 | + | 0.367174i | ||||
\(538\) | 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 | −0.391014 | − | 0.920385i | \(-0.627876\pi\) |
0.992584 | − | 0.121564i | \(-0.0387909\pi\) | |||||||
\(542\) | −70.5322 | + | 263.230i | −0.130133 | + | 0.485664i | ||||
\(543\) | 327.377 | − | 237.293i | 0.602904 | − | 0.437003i | ||||
\(544\) | 35.9376 | − | 62.2457i | 0.0660617 | − | 0.114422i | ||||
\(545\) | −128.650 | − | 63.5759i | −0.236055 | − | 0.116653i | ||||
\(546\) | 255.928 | + | 199.955i | 0.468733 | + | 0.366218i | ||||
\(547\) | 155.700 | + | 155.700i | 0.284644 | + | 0.284644i | 0.834958 | − | 0.550314i | \(-0.185492\pi\) |
−0.550314 | + | 0.834958i | \(0.685492\pi\) | |||||||
\(548\) | −483.456 | + | 129.542i | −0.882219 | + | 0.236390i | ||||
\(549\) | 149.195 | − | 133.730i | 0.271757 | − | 0.243589i | ||||
\(550\) | −641.705 | + | 264.555i | −1.16674 | + | 0.481010i | ||||
\(551\) | −9.14754 | + | 15.8440i | −0.0166017 | + | 0.0287550i | ||||
\(552\) | −11.0775 | − | 106.545i | −0.0200679 | − | 0.193016i | ||||
\(553\) | −149.995 | − | 520.899i | −0.271239 | − | 0.941951i | ||||
\(554\) | −619.086 | −1.11748 | ||||||||
\(555\) | 19.2020 | − | 204.590i | 0.0345982 | − | 0.368630i | ||||
\(556\) | −397.667 | + | 229.593i | −0.715229 | + | 0.412938i | ||||
\(557\) | 257.352 | + | 68.9573i | 0.462033 | + | 0.123801i | 0.482324 | − | 0.875993i | \(-0.339793\pi\) |
−0.0202914 | + | 0.999794i | \(0.506459\pi\) | |||||||
\(558\) | −229.204 | + | 116.138i | −0.410760 | + | 0.208133i | ||||
\(559\) | −723.371 | −1.29404 | ||||||||
\(560\) | −106.878 | − | 90.4267i | −0.190854 | − | 0.161476i | ||||
\(561\) | −471.590 | + | 581.031i | −0.840624 | + | 1.03571i | ||||
\(562\) | 302.607 | − | 81.0832i | 0.538446 | − | 0.144276i | ||||
\(563\) | −408.921 | − | 109.570i | −0.726324 | − | 0.194618i | −0.123332 | − | 0.992365i | \(-0.539358\pi\) |
−0.602992 | + | 0.797747i | \(0.706025\pi\) | |||||||
\(564\) | −308.317 | − | 49.1874i | −0.546662 | − | 0.0872116i | ||||
\(565\) | 20.2394 | − | 101.311i | 0.0358219 | − | 0.179311i | ||||
\(566\) | −560.922 | −0.991028 | ||||||||
\(567\) | 96.5755 | + | 558.715i | 0.170327 | + | 0.985388i | ||||
\(568\) | 8.41761 | − | 8.41761i | 0.0148197 | − | 0.0148197i | ||||
\(569\) | 102.317 | − | 177.219i | 0.179819 | − | 0.311456i | −0.761999 | − | 0.647578i | \(-0.775782\pi\) |
0.941819 | + | 0.336122i | \(0.109115\pi\) | |||||||
\(570\) | 7.52436 | − | 10.6027i | 0.0132006 | − | 0.0186013i | ||||
\(571\) | −10.0374 | − | 17.3853i | −0.0175786 | − | 0.0304471i | 0.857102 | − | 0.515146i | \(-0.172262\pi\) |
−0.874681 | + | 0.484699i | \(0.838929\pi\) | |||||||
\(572\) | 414.757 | − | 111.134i | 0.725100 | − | 0.194290i | ||||
\(573\) | −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 | ||||
\(576\) | −68.4260 | − | 22.4028i | −0.118795 | − | 0.0388938i | ||||
\(577\) | −266.916 | − | 71.5200i | −0.462593 | − | 0.123952i | 0.0199925 | − | 0.999800i | \(-0.493636\pi\) |
−0.482586 | + | 0.875849i | \(0.660302\pi\) | |||||||
\(578\) | 46.6907 | − | 174.252i | 0.0807798 | − | 0.301474i | ||||
\(579\) | 142.042 | + | 371.276i | 0.245323 | + | 0.641237i | ||||
\(580\) | −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 | ||||
\(583\) | 338.579 | + | 1263.59i | 0.580753 | + | 2.16740i | ||||
\(584\) | 58.2478 | − | 33.6294i | 0.0997393 | − | 0.0575845i | ||||
\(585\) | −428.626 | − | 241.776i | −0.732695 | − | 0.413293i | ||||
\(586\) | −270.231 | − | 156.018i | −0.461144 | − | 0.266242i | ||||
\(587\) | −384.403 | − | 384.403i | −0.654860 | − | 0.654860i | 0.299299 | − | 0.954159i | \(-0.403247\pi\) |
−0.954159 | + | 0.299299i | \(0.903247\pi\) | |||||||
\(588\) | −109.831 | + | 272.714i | −0.186788 | + | 0.463800i | ||||
\(589\) | − | 12.3729i | − | 0.0210065i | ||||||
\(590\) | −102.468 | + | 512.917i | −0.173675 | + | 0.869351i | ||||
\(591\) | −809.548 | − | 129.151i | −1.36979 | − | 0.218530i | ||||
\(592\) | 14.1825 | − | 52.9299i | 0.0239570 | − | 0.0894086i | ||||
\(593\) | −22.2236 | − | 82.9396i | −0.0374766 | − | 0.139864i | 0.944653 | − | 0.328072i | \(-0.106399\pi\) |
−0.982129 | + | 0.188208i | \(0.939732\pi\) | |||||||
\(594\) | 666.774 | + | 342.570i | 1.12252 | + | 0.576718i | ||||
\(595\) | 402.270 | + | 189.582i | 0.676084 | + | 0.318625i | ||||
\(596\) | − | 169.584i | − | 0.284537i | ||||||
\(597\) | −159.365 | + | 356.860i | −0.266942 | + | 0.597756i | ||||
\(598\) | 50.5319 | − | 188.588i | 0.0845015 | − | 0.315364i | ||||
\(599\) | 261.754 | + | 453.371i | 0.436985 | + | 0.756880i | 0.997455 | − | 0.0712942i | \(-0.0227129\pi\) |
−0.560470 | + | 0.828175i | \(0.689380\pi\) | |||||||
\(600\) | 180.563 | + | 111.342i | 0.300939 | + | 0.185569i | ||||
\(601\) | − | 135.446i | − | 0.225368i | −0.993631 | − | 0.112684i | \(-0.964055\pi\) | ||
0.993631 | − | 0.112684i | \(-0.0359448\pi\) | |||||||
\(602\) | −181.195 | − | 629.249i | −0.300989 | − | 1.04526i | ||||
\(603\) | −68.8776 | − | 44.9497i | −0.114225 | − | 0.0745435i | ||||
\(604\) | −483.764 | − | 279.301i | −0.800934 | − | 0.462419i | ||||
\(605\) | 1319.34 | − | 85.3740i | 2.18073 | − | 0.141114i | ||||
\(606\) | 428.619 | + | 68.3797i | 0.707292 | + | 0.112838i | ||||
\(607\) | 131.466 | + | 490.637i | 0.216583 | + | 0.808298i | 0.985603 | + | 0.169074i | \(0.0540777\pi\) |
−0.769021 | + | 0.639224i | \(0.779256\pi\) | |||||||
\(608\) | 2.45155 | − | 2.45155i | 0.00403216 | − | 0.00403216i | ||||
\(609\) | −87.2457 | + | 620.762i | −0.143261 | + | 1.01931i | ||||
\(610\) | −149.103 | + | 50.4757i | −0.244431 | + | 0.0827470i | ||||
\(611\) | −492.820 | − | 284.530i | −0.806580 | − | 0.465679i | ||||
\(612\) | 228.364 | + | 12.4820i | 0.373144 | + | 0.0203954i | ||||
\(613\) | 679.722 | + | 182.131i | 1.10885 | + | 0.297114i | 0.766361 | − | 0.642410i | \(-0.222065\pi\) |
0.342484 | + | 0.939524i | \(0.388732\pi\) | |||||||
\(614\) | −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 | \(0.272634\pi\) | |||||||
\(618\) | −253.434 | + | 567.508i | −0.410088 | + | 0.918298i | ||||
\(619\) | 55.8546 | + | 96.7431i | 0.0902337 | + | 0.156289i | 0.907609 | − | 0.419816i | \(-0.137905\pi\) |
−0.817376 | + | 0.576105i | \(0.804572\pi\) | |||||||
\(620\) | 201.457 | − | 13.0362i | 0.324930 | − | 0.0210261i | ||||
\(621\) | 286.485 | − | 184.677i | 0.461328 | − | 0.297387i | ||||
\(622\) | 434.233 | − | 434.233i | 0.698124 | − | 0.698124i | ||||
\(623\) | −3.19791 | − | 11.1056i | −0.00513308 | − | 0.0178260i | ||||
\(624\) | −101.892 | − | 82.7004i | −0.163289 | − | 0.132533i | ||||
\(625\) | −440.472 | − | 443.407i | −0.704755 | − | 0.709451i | ||||
\(626\) | 179.958 | + | 311.696i | 0.287473 | + | 0.497917i | ||||
\(627\) | −29.2268 | + | 21.1844i | −0.0466136 | + | 0.0337869i | ||||
\(628\) | 499.658 | − | 133.883i | 0.795634 | − | 0.213189i | ||||
\(629\) | 174.061i | 0.276726i | ||||||||
\(630\) | 102.952 | − | 433.418i | 0.163416 | − | 0.687965i | ||||
\(631\) | −231.667 | −0.367143 | −0.183571 | − | 0.983006i | \(-0.558766\pi\) | ||||
−0.183571 | + | 0.983006i | \(0.558766\pi\) | |||||||
\(632\) | 56.6884 | + | 211.564i | 0.0896969 | + | 0.334753i | ||||
\(633\) | −237.083 | − | 327.089i | −0.374539 | − | 0.516728i | ||||
\(634\) | −154.233 | + | 89.0467i | −0.243270 | + | 0.140452i | ||||
\(635\) | 11.5915 | − | 58.0227i | 0.0182544 | − | 0.0913743i | ||||
\(636\) | 251.954 | − | 310.424i | 0.396154 | − | 0.488088i | ||||
\(637\) | −364.578 | + | 392.717i | −0.572336 | + | 0.616510i | ||||
\(638\) | 586.031 | + | 586.031i | 0.918543 | + | 0.918543i | ||||
\(639\) | 35.9990 | + | 11.7862i | 0.0563364 | + | 0.0184447i | ||||
\(640\) | 42.4995 | + | 37.3335i | 0.0664055 | + | 0.0583336i | ||||
\(641\) | 471.706 | − | 272.339i | 0.735890 | − | 0.424866i | −0.0846830 | − | 0.996408i | \(-0.526988\pi\) |
0.820573 | + | 0.571542i | \(0.193654\pi\) | |||||||
\(642\) | 234.803 | + | 104.857i | 0.365737 | + | 0.163329i | ||||
\(643\) | 521.820 | + | 521.820i | 0.811539 | + | 0.811539i | 0.984865 | − | 0.173326i | \(-0.0554513\pi\) |
−0.173326 | + | 0.984865i | \(0.555451\pi\) | |||||||
\(644\) | 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 | ||||
\(647\) | −69.3479 | + | 258.810i | −0.107184 | + | 0.400016i | −0.998584 | − | 0.0532020i | \(-0.983057\pi\) |
0.891400 | + | 0.453218i | \(0.149724\pi\) | |||||||
\(648\) | −34.8236 | − | 226.441i | −0.0537401 | − | 0.349445i | ||||
\(649\) | 726.101 | − | 1257.64i | 1.11880 | − | 1.93782i | ||||
\(650\) | 234.863 | + | 307.134i | 0.361327 | + | 0.472513i | ||||
\(651\) | −158.810 | − | 393.074i | −0.243948 | − | 0.603801i | ||||
\(652\) | 26.9296 | + | 26.9296i | 0.0413030 | + | 0.0413030i | ||||
\(653\) | −85.6319 | + | 22.9450i | −0.131136 | + | 0.0351378i | −0.323790 | − | 0.946129i | \(-0.604957\pi\) |
0.192654 | + | 0.981267i | \(0.438291\pi\) | |||||||
\(654\) | 19.1832 | − | 120.245i | 0.0293321 | − | 0.183860i | ||||
\(655\) | −843.806 | + | 54.6024i | −1.28825 | + | 0.0833624i | ||||
\(656\) | −150.037 | + | 259.872i | −0.228715 | + | 0.396147i | ||||
\(657\) | 179.227 | + | 116.964i | 0.272796 | + | 0.178027i | ||||
\(658\) | 124.063 | − | 499.968i | 0.188546 | − | 0.759830i | ||||
\(659\) | −80.5689 | −0.122259 | −0.0611297 | − | 0.998130i | \(-0.519470\pi\) | ||||
−0.0611297 | + | 0.998130i | \(0.519470\pi\) | |||||||
\(660\) | −375.721 | − | 453.554i | −0.569275 | − | 0.687203i | ||||
\(661\) | 697.809 | − | 402.880i | 1.05569 | − | 0.609501i | 0.131450 | − | 0.991323i | \(-0.458037\pi\) |
0.924236 | + | 0.381822i | \(0.124703\pi\) | |||||||
\(662\) | 403.353 | + | 108.078i | 0.609294 | + | 0.163260i | ||||
\(663\) | 380.620 | + | 169.975i | 0.574087 | + | 0.256372i | ||||
\(664\) | 164.532 | 0.247789 | ||||||||
\(665\) | 16.3761 | + | 13.8554i | 0.0246258 | + | 0.0208351i | ||||
\(666\) | 170.634 | − | 35.8693i | 0.256207 | − | 0.0538578i | ||||
\(667\) | 363.997 | − | 97.5327i | 0.545723 | − | 0.146226i | ||||
\(668\) | 197.716 | + | 52.9778i | 0.295982 | + | 0.0793081i | ||||
\(669\) | 165.760 | − | 1039.02i | 0.247772 | − | 1.55309i | ||||
\(670\) | 35.8561 | + | 53.7590i | 0.0535165 | + | 0.0802373i | ||||
\(671\) | 437.047 | 0.651337 | ||||||||
\(672\) | 46.4171 | − | 109.350i | 0.0690730 | − | 0.162723i | ||||
\(673\) | 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 | ||||
\(675\) | −56.3417 | + | 672.644i | −0.0834692 | + | 0.996510i | ||||
\(676\) | 49.4067 | + | 85.5750i | 0.0730869 | + | 0.126590i | ||||
\(677\) | −403.300 | + | 108.064i | −0.595717 | + | 0.159622i | −0.544065 | − | 0.839043i | \(-0.683115\pi\) |
−0.0516521 | + | 0.998665i | \(0.516449\pi\) | |||||||
\(678\) | 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 | ||||
\(681\) | −208.184 | + | 79.6465i | −0.305703 | + | 0.116955i | ||||
\(682\) | −541.395 | − | 145.066i | −0.793835 | − | 0.212707i | ||||
\(683\) | −222.440 | + | 830.156i | −0.325680 | + | 1.21546i | 0.587946 | + | 0.808900i | \(0.299937\pi\) |
−0.913626 | + | 0.406555i | \(0.866730\pi\) | |||||||
\(684\) | 10.4844 | + | 3.43261i | 0.0153280 | + | 0.00501843i | ||||
\(685\) | 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 | ||||
\(688\) | 68.4800 | + | 255.571i | 0.0995349 | + | 0.371469i | ||||
\(689\) | 631.075 | − | 364.351i | 0.915929 | − | 0.528812i | ||||
\(690\) | −264.018 | + | 44.8361i | −0.382635 | + | 0.0649798i | ||||
\(691\) | −242.414 | − | 139.958i | −0.350816 | − | 0.202544i | 0.314229 | − | 0.949347i | \(-0.398254\pi\) |
−0.665045 | + | 0.746804i | \(0.731587\pi\) | |||||||
\(692\) | −235.661 | − | 235.661i | −0.340550 | − | 0.340550i | ||||
\(693\) | −656.598 | + | 1048.15i | −0.947472 | + | 1.51248i | ||||
\(694\) | 813.279i | 1.17187i | ||||||||
\(695\) | 636.983 | + | 955.028i | 0.916523 | + | 1.37414i | ||||
\(696\) | 39.9041 | − | 250.128i | 0.0573335 | − | 0.359379i | ||||
\(697\) | 246.700 | − | 920.697i | 0.353945 | − | 1.32094i | ||||
\(698\) | −39.0429 | − | 145.710i | −0.0559354 | − | 0.208754i | ||||
\(699\) | −603.727 | − | 490.011i | −0.863701 | − | 0.701018i | ||||
\(700\) | −208.341 | + | 281.237i | −0.297630 | + | 0.401767i | ||||
\(701\) | 1078.49i | 1.53850i | 0.638949 | + | 0.769249i | \(0.279370\pi\) | ||||
−0.638949 | + | 0.769249i | \(0.720630\pi\) | |||||||
\(702\) | 88.1926 | − | 408.153i | 0.125631 | − | 0.581415i | ||||
\(703\) | −2.17307 | + | 8.11002i | −0.00309114 | + | 0.0115363i | ||||
\(704\) | −78.5284 | − | 136.015i | −0.111546 | − | 0.193203i | ||||
\(705\) | −72.9381 | + | 777.126i | −0.103458 | + | 1.10231i | ||||
\(706\) | 37.8738i | 0.0536456i | ||||||||
\(707\) | −172.471 | + | 695.049i | −0.243948 | + | 0.983097i | ||||
\(708\) | −441.445 | + | 45.8970i | −0.623510 | + | 0.0648263i | ||||
\(709\) | 379.565 | + | 219.142i | 0.535353 | + | 0.309086i | 0.743193 | − | 0.669077i | \(-0.233310\pi\) |
−0.207841 | + | 0.978163i | \(0.566644\pi\) | |||||||
\(710\) | −22.3590 | − | 19.6412i | −0.0314916 | − | 0.0276637i | ||||
\(711\) | −518.973 | + | 465.181i | −0.729920 | + | 0.654263i | ||||
\(712\) | 1.20860 | + | 4.51056i | 0.00169747 | + | 0.00633506i | ||||
\(713\) | −180.208 | + | 180.208i | −0.252746 | + | 0.252746i | ||||
\(714\) | −52.5181 | + | 373.672i | −0.0735548 | + | 0.523350i | ||||
\(715\) | −344.212 | − | 1016.79i | −0.481415 | − | 1.42208i | ||||
\(716\) | 124.673 | + | 71.9801i | 0.174124 | + | 0.100531i | ||||
\(717\) | 58.3996 | + | 80.5702i | 0.0814500 | + | 0.112371i | ||||
\(718\) | 497.538 | + | 133.315i | 0.692950 | + | 0.185675i | ||||
\(719\) | −139.253 | − | 80.3980i | −0.193677 | − | 0.111819i | 0.400026 | − | 0.916504i | \(-0.369001\pi\) |
−0.593703 | + | 0.804685i | \(0.702334\pi\) | |||||||
\(720\) | −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 | ||||
\(723\) | 778.980 | + | 347.872i | 1.07743 | + | 0.481151i | ||||
\(724\) | −134.777 | − | 233.441i | −0.186156 | − | 0.322432i | ||||
\(725\) | −286.728 | + | 688.984i | −0.395487 | + | 0.950323i | ||||
\(726\) | 400.855 | + | 1047.78i | 0.552142 | + | 1.44322i | ||||
\(727\) | −694.902 | + | 694.902i | −0.955848 | + | 0.955848i | −0.999066 | − | 0.0432176i | \(-0.986239\pi\) |
0.0432176 | + | 0.999066i | \(0.486239\pi\) | |||||||
\(728\) | 150.233 | − | 155.919i | 0.206364 | − | 0.214174i | ||||
\(729\) | 592.645 | − | 424.515i | 0.812956 | − | 0.582326i | ||||
\(730\) | −93.3013 | − | 139.886i | −0.127810 | − | 0.191625i | ||||
\(731\) | −420.224 | − | 727.850i | −0.574862 | − | 0.995690i | ||||
\(732\) | −78.3899 | − | 108.149i | −0.107090 | − | 0.147745i | ||||
\(733\) | −146.048 | + | 39.1333i | −0.199246 | + | 0.0533879i | −0.357062 | − | 0.934081i | \(-0.616222\pi\) |
0.157816 | + | 0.987469i | \(0.449555\pi\) | |||||||
\(734\) | 310.218i | 0.422640i | ||||||||
\(735\) | 698.094 | + | 229.979i | 0.949787 | + | 0.312897i | ||||
\(736\) | −71.4128 | −0.0970282 | ||||||||
\(737\) | −46.4346 | − | 173.296i | −0.0630049 | − | 0.235138i | ||||
\(738\) | −953.408 | − | 52.1116i | −1.29188 | − | 0.0706120i | ||||
\(739\) | 1272.70 | − | 734.796i | 1.72220 | − | 0.994311i | 0.807843 | − | 0.589398i | \(-0.200635\pi\) |
0.914355 | − | 0.404913i | \(-0.132698\pi\) | |||||||
\(740\) | −134.338 | − | 26.8375i | −0.181538 | − | 0.0362669i | ||||
\(741\) | 15.6122 | + | 12.6715i | 0.0210691 | + | 0.0171006i | ||||
\(742\) | 475.020 | + | 457.697i | 0.640189 | + | 0.616843i | ||||
\(743\) | −51.7779 | − | 51.7779i | −0.0696876 | − | 0.0696876i | 0.671404 | − | 0.741092i | \(-0.265692\pi\) |
−0.741092 | + | 0.671404i | \(0.765692\pi\) | |||||||
\(744\) | 61.2086 | + | 159.990i | 0.0822697 | + | 0.215041i | ||||
\(745\) | −423.075 | + | 27.3770i | −0.567885 | + | 0.0367477i | ||||
\(746\) | −472.265 | + | 272.662i | −0.633062 | + | 0.365499i | ||||
\(747\) | 236.634 | + | 467.008i | 0.316779 | + | 0.625178i | ||||
\(748\) | 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 | −0.960819 | − | 0.277178i | \(-0.910601\pi\) |
0.720452 | + | 0.693505i | \(0.243934\pi\) | |||||||
\(752\) | −53.8717 | + | 201.052i | −0.0716379 | + | 0.267356i | ||||
\(753\) | −236.959 | − | 326.917i | −0.314687 | − | 0.434153i | ||||
\(754\) | 230.830 | − | 399.809i | 0.306140 | − | 0.530250i | ||||
\(755\) | −618.698 | + | 1251.97i | −0.819468 | + | 1.65824i | ||||
\(756\) | 377.138 | − | 25.5197i | 0.498859 | − | 0.0337563i | ||||
\(757\) | −43.6499 | − | 43.6499i | −0.0576617 | − | 0.0576617i | 0.677688 | − | 0.735350i | \(-0.262982\pi\) |
−0.735350 | + | 0.677688i | \(0.762982\pi\) | |||||||
\(758\) | 520.904 | − | 139.576i | 0.687208 | − | 0.184137i | ||||
\(759\) | 734.229 | + | 117.135i | 0.967364 | + | 0.154328i | ||||
\(760\) | −6.51186 | − | 5.72032i | −0.00856823 | − | 0.00752673i | ||||
\(761\) | 15.0192 | − | 26.0141i | 0.0197362 | − | 0.0341840i | −0.855989 | − | 0.516995i | \(-0.827051\pi\) |
0.875725 | + | 0.482811i | \(0.160384\pi\) | |||||||
\(762\) | 49.9376 | − | 5.19201i | 0.0655349 | − | 0.00681366i | ||||
\(763\) | 194.989 | + | 48.3849i | 0.255555 | + | 0.0634140i | ||||
\(764\) | −372.097 | −0.487038 | ||||||||
\(765\) | −5.72648 | − | 571.735i | −0.00748560 | − | 0.747365i | ||||
\(766\) | 755.495 | − | 436.186i | 0.986287 | − | 0.569433i | ||||
\(767\) | −781.371 | − | 209.368i | −1.01874 | − | 0.272970i | ||||
\(768\) | −19.5725 | + | 43.8282i | −0.0254851 | + | 0.0570680i | ||||
\(769\) | −701.312 | −0.911979 | −0.455990 | − | 0.889985i | \(-0.650715\pi\) | ||||
−0.455990 | + | 0.889985i | \(0.650715\pi\) | |||||||
\(770\) | 798.268 | − | 554.117i | 1.03671 | − | 0.719633i | ||||
\(771\) | −294.910 | − | 239.362i | −0.382503 | − | 0.310456i | ||||
\(772\) | 255.983 | − | 68.5905i | 0.331584 | − | 0.0888478i | ||||
\(773\) | 211.572 | + | 56.6906i | 0.273703 | + | 0.0733384i | 0.393060 | − | 0.919513i | \(-0.371417\pi\) |
−0.119357 | + | 0.992851i | \(0.538083\pi\) | |||||||
\(774\) | −626.923 | + | 561.941i | −0.809978 | + | 0.726022i | ||||
\(775\) | −65.0449 | − | 500.486i | −0.0839289 | − | 0.645788i | ||||
\(776\) | −370.090 | −0.476920 | ||||||||
\(777\) | 35.0584 | + | 285.540i | 0.0451202 | + | 0.367491i | ||||
\(778\) | 725.047 | − | 725.047i | 0.931937 | − | 0.931937i | ||||
\(779\) | 22.9890 | − | 39.8181i | 0.0295109 | − | 0.0511144i | ||||
\(780\) | −189.870 | + | 267.550i | −0.243423 | + | 0.343013i | ||||
\(781\) | 41.3139 | + | 71.5577i | 0.0528987 | + | 0.0916232i | ||||
\(782\) | 219.111 | − | 58.7105i | 0.280193 | − | 0.0750774i | ||||
\(783\) | 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 | ||||
\(786\) | −256.374 | − | 670.123i | −0.326175 | − | 0.852574i | ||||
\(787\) | −342.920 | − | 91.8852i | −0.435731 | − | 0.116754i | 0.0342841 | − | 0.999412i | \(-0.489085\pi\) |
−0.470015 | + | 0.882658i | \(0.655752\pi\) | |||||||
\(788\) | −141.451 | + | 527.901i | −0.179506 | + | 0.669925i | ||||
\(789\) | −224.963 | + | 86.0656i | −0.285124 | + | 0.109082i | ||||
\(790\) | 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 | ||||
\(793\) | −63.0102 | − | 235.157i | −0.0794581 | − | 0.296542i | ||||
\(794\) | 101.341 | − | 58.5093i | 0.127634 | − | 0.0736893i | ||||
\(795\) | −815.115 | − | 578.456i | −1.02530 | − | 0.727618i | ||||
\(796\) | 225.645 | + | 130.276i | 0.283473 | + | 0.163663i | ||||
\(797\) | 339.966 | + | 339.966i | 0.426556 | + | 0.426556i | 0.887454 | − | 0.460897i | \(-0.152472\pi\) |
−0.460897 | + | 0.887454i | \(0.652472\pi\) | |||||||
\(798\) | −7.11211 | + | 16.7548i | −0.00891242 | + | 0.0209961i | ||||
\(799\) | − | 661.162i | − | 0.827487i | ||||||
\(800\) | 86.2781 | − | 112.054i | 0.107848 | − | 0.140067i | ||||
\(801\) | −11.0645 | + | 9.91768i | −0.0138134 | + | 0.0123816i | ||||
\(802\) | −199.085 | + | 742.996i | −0.248236 | + | 0.926429i | ||||
\(803\) | 120.828 | + | 450.936i | 0.150470 | + | 0.561564i | ||||
\(804\) | −34.5544 | + | 42.5733i | −0.0429781 | + | 0.0529519i | ||||
\(805\) | −36.7145 | − | 440.316i | −0.0456081 | − | 0.546976i | ||||
\(806\) | 312.217i | 0.387367i | ||||||||
\(807\) | 506.441 | + | 226.163i | 0.627560 | + | 0.280252i | ||||
\(808\) | 74.8918 | − | 279.500i | 0.0926878 | − | 0.345916i | ||||
\(809\) | −61.1804 | − | 105.968i | −0.0756248 | − | 0.130986i | 0.825733 | − | 0.564061i | \(-0.190762\pi\) |
−0.901358 | + | 0.433075i | \(0.857428\pi\) | |||||||
\(810\) | −559.298 | + | 123.433i | −0.690491 | + | 0.152387i | ||||
\(811\) | − | 957.012i | − | 1.18004i | −0.807389 | − | 0.590020i | \(-0.799120\pi\) | ||
0.807389 | − | 0.590020i | \(-0.200880\pi\) | |||||||
\(812\) | 405.608 | + | 100.648i | 0.499517 | + | 0.123951i | ||||
\(813\) | 59.7820 | + | 574.994i | 0.0735326 | + | 0.707249i | ||||
\(814\) | 329.389 | + | 190.173i | 0.404655 | + | 0.233628i | ||||
\(815\) | 62.8360 | − | 71.5308i | 0.0770993 | − | 0.0877679i | ||||
\(816\) | 24.0205 | − | 150.566i | 0.0294369 | − | 0.184517i | ||||
\(817\) | −10.4926 | − | 39.1591i | −0.0128429 | − | 0.0479303i | ||||
\(818\) | 372.329 | − | 372.329i | 0.455170 | − | 0.455170i | ||||
\(819\) | 658.628 | + | 202.175i | 0.804186 | + | 0.246856i | ||||
\(820\) | 672.546 | + | 332.357i | 0.820178 | + | 0.405314i | ||||
\(821\) | −920.486 | − | 531.443i | −1.12118 | − | 0.647312i | −0.179476 | − | 0.983762i | \(-0.557440\pi\) |
−0.941701 | + | 0.336451i | \(0.890773\pi\) | |||||||
\(822\) | −859.668 | + | 623.113i | −1.04582 | + | 0.758044i | ||||
\(823\) | 110.650 | + | 29.6486i | 0.134447 | + | 0.0360250i | 0.325415 | − | 0.945571i | \(-0.394496\pi\) |
−0.190968 | + | 0.981596i | \(0.561163\pi\) | |||||||
\(824\) | 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 | \(0.000695097\pi\) | |||||||
\(828\) | −102.707 | − | 202.698i | −0.124043 | − | 0.244804i | ||||
\(829\) | 344.862 | + | 597.318i | 0.415997 | + | 0.720528i | 0.995533 | − | 0.0944189i | \(-0.0300993\pi\) |
−0.579535 | + | 0.814947i | \(0.696766\pi\) | |||||||
\(830\) | −26.5615 | − | 410.472i | −0.0320018 | − | 0.494545i | ||||
\(831\) | −1226.58 | + | 469.261i | −1.47603 | + | 0.564694i | ||||
\(832\) | −61.8626 | + | 61.8626i | −0.0743541 | + | 0.0743541i | ||||
\(833\) | −606.941 | − | 138.696i | −0.728621 | − | 0.166502i | ||||
\(834\) | −613.858 | + | 756.315i | −0.736041 | + | 0.906853i | ||||
\(835\) | 100.250 | − | 501.811i | 0.120059 | − | 0.600971i | ||||
\(836\) | 12.0323 | + | 20.8405i | 0.0143927 | + | 0.0249289i | ||||
\(837\) | −366.085 | + | 403.836i | −0.437377 | + | 0.482481i | ||||
\(838\) | −394.932 | + | 105.822i | −0.471279 | + | 0.126279i | ||||
\(839\) | − | 633.111i | − | 0.754602i | −0.926091 | − | 0.377301i | \(-0.876852\pi\) | ||
0.926091 | − | 0.377301i | \(-0.123148\pi\) | |||||||
\(840\) | −280.298 | − | 98.1473i | −0.333688 | − | 0.116842i | ||||
\(841\) | 50.0595 | 0.0595238 | ||||||||
\(842\) | 248.932 | + | 929.026i | 0.295643 | + | 1.10336i | ||||
\(843\) | 538.087 | − | 390.021i | 0.638300 | − | 0.462659i | ||||
\(844\) | −233.235 | + | 134.658i | −0.276345 | + | 0.159548i | ||||
\(845\) | 205.515 | − | 137.074i | 0.243213 | − | 0.162218i | ||||
\(846\) | −648.145 | + | 136.248i | −0.766129 | + | 0.161050i | ||||
\(847\) | −1778.66 | + | 512.174i | −2.09996 | + | 0.604692i | ||||
\(848\) | −188.470 | − | 188.470i | −0.222252 | − | 0.222252i | ||||
\(849\) | −1111.34 | + | 425.174i | −1.30900 | + | 0.500793i | ||||
\(850\) | −172.598 | + | 414.739i | −0.203056 | + | 0.487928i | ||||
\(851\) | 149.771 | − | 86.4705i | 0.175994 | − | 0.101610i | ||||
\(852\) | 10.2971 | − | 23.0581i | 0.0120858 | − | 0.0270635i | ||||
\(853\) | −148.087 | − | 148.087i | −0.173608 | − | 0.173608i | 0.614955 | − | 0.788562i | \(-0.289174\pi\) |
−0.788562 | + | 0.614955i | \(0.789174\pi\) | |||||||
\(854\) | 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 | ||||
\(857\) | −290.329 | + | 1083.52i | −0.338774 | + | 1.26432i | 0.560945 | + | 0.827853i | \(0.310438\pi\) |
−0.899719 | + | 0.436469i | \(0.856229\pi\) | |||||||
\(858\) | 737.510 | − | 534.569i | 0.859569 | − | 0.623041i | ||||
\(859\) | −590.351 | + | 1022.52i | −0.687254 | + | 1.19036i | 0.285468 | + | 0.958388i | \(0.407851\pi\) |
−0.972723 | + | 0.231971i | \(0.925482\pi\) | |||||||
\(860\) | 626.538 | − | 212.101i | 0.728533 | − | 0.246629i | ||||
\(861\) | 219.260 | − | 1560.06i | 0.254658 | − | 1.81191i | ||||
\(862\) | −499.282 | − | 499.282i | −0.579214 | − | 0.579214i | ||||
\(863\) | 1102.86 | − | 295.511i | 1.27794 | − | 0.342423i | 0.444872 | − | 0.895594i | \(-0.353249\pi\) |
0.833068 | + | 0.553171i | \(0.186583\pi\) | |||||||
\(864\) | −152.552 | + | 7.48008i | −0.176565 | + | 0.00865750i | ||||
\(865\) | −549.878 | + | 625.967i | −0.635697 | + | 0.723661i | ||||
\(866\) | 62.7615 | − | 108.706i | 0.0724728 | − | 0.125527i | ||||
\(867\) | −39.5743 | − | 380.632i | −0.0456451 | − | 0.439022i | ||||
\(868\) | −271.593 | + | 78.2065i | −0.312896 | + | 0.0900997i | ||||
\(869\) | −1520.27 | −1.74945 | ||||||||
\(870\) | −630.457 | − | 59.1723i | −0.724663 | − | 0.0680141i | ||||
\(871\) | −86.5492 | + | 49.9692i | −0.0993676 | + | 0.0573699i | ||||
\(872\) | −78.4107 | − | 21.0101i | −0.0899205 | − | 0.0240941i | ||||
\(873\) | −532.271 | − | 1050.46i | −0.609704 | − | 1.20328i | ||||
\(874\) | 10.9420 | 0.0125195 | ||||||||
\(875\) | 735.258 | + | 474.363i | 0.840295 | + | 0.542130i | ||||
\(876\) | 89.9141 | − | 110.780i | 0.102642 | − | 0.126462i | ||||
\(877\) | 842.825 | − | 225.834i | 0.961032 | − | 0.257508i | 0.255995 | − | 0.966678i | \(-0.417597\pi\) |
0.705037 | + | 0.709171i | \(0.250930\pi\) | |||||||
\(878\) | 17.2792 | + | 4.62996i | 0.0196802 | + | 0.00527330i | ||||
\(879\) | −653.661 | − | 104.282i | −0.743642 | − | 0.118637i | ||||
\(880\) | −326.651 | + | 217.869i | −0.371194 | + | 0.247579i | ||||
\(881\) | 1627.99 | 1.84789 | 0.923944 | − | 0.382528i | \(-0.124946\pi\) | ||||
0.923944 | + | 0.382528i | \(0.124946\pi\) | |||||||
\(882\) | −10.8910 | + | 623.573i | −0.0123480 | + | 0.706999i | ||||
\(883\) | 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 | ||||
\(885\) | 185.768 | + | 1093.90i | 0.209908 | + | 1.23604i | ||||
\(886\) | 58.6769 | + | 101.631i | 0.0662267 | + | 0.114708i | ||||
\(887\) | −1064.83 | + | 285.319i | −1.20048 | + | 0.321668i | −0.803020 | − | 0.595952i | \(-0.796775\pi\) |
−0.397460 | + | 0.917620i | \(0.630108\pi\) | |||||||
\(888\) | −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 | ||||
\(891\) | 1580.73 | + | 173.317i | 1.77411 | + | 0.194520i | ||||
\(892\) | −677.538 | − | 181.546i | −0.759572 | − | 0.203527i | ||||
\(893\) | 8.25433 | − | 30.8056i | 0.00924337 | − | 0.0344967i | ||||
\(894\) | −128.543 | − | 335.992i | −0.143784 | − | 0.375830i | ||||
\(895\) | 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 | ||||
\(898\) | −202.982 | − | 757.540i | −0.226038 | − | 0.843585i | ||||
\(899\) | −521.883 | + | 301.309i | −0.580514 | + | 0.335160i | ||||
\(900\) | 442.141 | + | 83.7330i | 0.491268 | + | 0.0930367i | ||||
\(901\) | 733.215 | + | 423.322i | 0.813779 | + | 0.469835i | ||||
\(902\) | −1472.77 | − | 1472.77i | −1.63279 | − | 1.63279i | ||||
\(903\) | −835.962 | − | 1109.37i | −0.925761 | − | 1.22854i | ||||
\(904\) | − | 58.4423i | − | 0.0646486i | ||||||
\(905\) | −560.625 | + | 373.925i | −0.619476 | + | 0.413177i | ||||
\(906\) | −1170.18 | − | 186.684i | −1.29159 | − | 0.206053i | ||||
\(907\) | 66.9971 | − | 250.037i | 0.0738667 | − | 0.275674i | −0.919107 | − | 0.394007i | \(-0.871088\pi\) |
0.992974 | + | 0.118333i | \(0.0377551\pi\) | |||||||
\(908\) | 38.4604 | + | 143.536i | 0.0423573 | + | 0.158080i | ||||
\(909\) | 901.044 | − | 189.410i | 0.991247 | − | 0.208372i | ||||
\(910\) | −413.236 | − | 349.627i | −0.454106 | − | 0.384206i | ||||
\(911\) | − | 1741.66i | − | 1.91181i | −0.293671 | − | 0.955906i | \(-0.594877\pi\) | ||
0.293671 | − | 0.955906i | \(-0.405123\pi\) | |||||||
\(912\) | 2.99894 | − | 6.71545i | 0.00328832 | − | 0.00736343i | ||||
\(913\) | −295.576 | + | 1103.10i | −0.323741 | + | 1.20822i | ||||
\(914\) | 357.843 | + | 619.802i | 0.391513 | + | 0.678120i | ||||
\(915\) | −257.154 | + | 213.025i | −0.281043 | + | 0.232814i | ||||
\(916\) | − | 136.234i | − | 0.148727i | ||||||
\(917\) | 1137.58 | − | 327.570i | 1.24054 | − | 0.357219i | ||||
\(918\) | 461.914 | − | 148.368i | 0.503174 | − | 0.161621i | ||||
\(919\) | 354.938 | + | 204.924i | 0.386222 | + | 0.222985i | 0.680522 | − | 0.732728i | \(-0.261753\pi\) |
−0.294300 | + | 0.955713i | \(0.595086\pi\) | |||||||
\(920\) | 11.5286 | + | 178.159i | 0.0125311 | + | 0.193651i | ||||
\(921\) | −200.974 | − | 32.0623i | −0.218213 | − | 0.0348125i | ||||
\(922\) | −133.469 | − | 498.115i | −0.144761 | − | 0.540254i | ||||
\(923\) | 32.5460 | − | 32.5460i | 0.0352611 | − | 0.0352611i | ||||
\(924\) | 649.751 | + | 507.646i | 0.703193 | + | 0.549401i | ||||
\(925\) | −45.2666 | + | 339.477i | −0.0489368 | + | 0.367002i | ||||
\(926\) | 985.298 | + | 568.862i | 1.06404 | + | 0.614322i | ||||
\(927\) | −71.9571 | + | 1316.49i | −0.0776236 | + | 1.42016i | ||||
\(928\) | −163.107 | − | 43.7043i | −0.175762 | − | 0.0470952i | ||||
\(929\) | 868.797 | + | 501.600i | 0.935195 | + | 0.539935i | 0.888451 | − | 0.458972i | \(-0.151782\pi\) |
0.0467445 | + | 0.998907i | \(0.485115\pi\) | |||||||
\(930\) | 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 | ||||
\(933\) | 531.190 | − | 1189.48i | 0.569336 | − | 1.27490i | ||||
\(934\) | −40.4966 | − | 70.1422i | −0.0433583 | − | 0.0750987i | ||||
\(935\) | 823.123 | − | 937.021i | 0.880345 | − | 1.00216i | ||||
\(936\) | −264.563 | − | 86.6186i | −0.282653 | − | 0.0925413i | ||||
\(937\) | −103.217 | + | 103.217i | −0.110157 | + | 0.110157i | −0.760037 | − | 0.649880i | \(-0.774819\pi\) |
0.649880 | + | 0.760037i | \(0.274819\pi\) | |||||||
\(938\) | −65.1469 | − | 62.7712i | −0.0694530 | − | 0.0669202i | ||||
\(939\) | 592.809 | + | 481.149i | 0.631319 | + | 0.512406i | ||||
\(940\) | 510.278 | + | 101.941i | 0.542848 | + | 0.108448i | ||||
\(941\) | −660.292 | − | 1143.66i | −0.701692 | − | 1.21537i | −0.967872 | − | 0.251443i | \(-0.919095\pi\) |
0.266180 | − | 0.963923i | \(-0.414238\pi\) | |||||||
\(942\) | 888.478 | − | 643.995i | 0.943182 | − | 0.683646i | ||||
\(943\) | −914.774 | + | 245.113i | −0.970068 | + | 0.259929i | ||||
\(944\) | 295.883i | 0.313435i | ||||||||
\(945\) | −124.550 | − | 936.756i | −0.131799 | − | 0.991276i | ||||
\(946\) | −1836.49 | −1.94132 | ||||||||
\(947\) | 62.1566 | + | 231.972i | 0.0656353 | + | 0.244954i | 0.990947 | − | 0.134253i | \(-0.0428635\pi\) |
−0.925312 | + | 0.379207i | \(0.876197\pi\) | |||||||
\(948\) | 272.679 | + | 376.197i | 0.287636 | + | 0.396833i | ||||
\(949\) | 225.210 | − | 130.025i | 0.237313 | − | 0.137013i | ||||
\(950\) | −13.2197 | + | 17.1691i | −0.0139155 | + | 0.0180728i | ||||
\(951\) | −238.082 | + | 293.333i | −0.250349 | + | 0.308447i | ||||
\(952\) | 244.158 | + | 60.5859i | 0.256469 | + | 0.0636407i | ||||
\(953\) | 715.611 | + | 715.611i | 0.750904 | + | 0.750904i | 0.974648 | − | 0.223744i | \(-0.0718280\pi\) |
−0.223744 | + | 0.974648i | \(0.571828\pi\) | |||||||
\(954\) | 263.891 | − | 806.014i | 0.276615 | − | 0.844879i | ||||
\(955\) | 60.0701 | + | 928.302i | 0.0629006 | + | 0.972044i | ||||
\(956\) | 57.4516 | − | 33.1697i | 0.0600958 | − | 0.0346964i | ||||
\(957\) | 1605.29 | + | 716.882i | 1.67742 | + | 0.749093i | ||||
\(958\) | −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 | ||||
\(962\) | 54.8355 | − | 204.649i | 0.0570015 | − | 0.212733i | ||||
\(963\) | 544.690 | + | 29.7718i | 0.565618 | + | 0.0309157i | ||||
\(964\) | 284.375 | − | 492.553i | 0.294995 | − | 0.510947i | ||||
\(965\) | −212.443 | − | 627.549i | −0.220149 | − | 0.650310i | ||||
\(966\) | 347.618 | − | 140.445i | 0.359853 | − | 0.145388i | ||||
\(967\) | 1023.53 | + | 1023.53i | 1.05846 | + | 1.05846i | 0.998182 | + | 0.0602752i | \(0.0191978\pi\) |
0.0602752 | + | 0.998182i | \(0.480802\pi\) | |||||||
\(968\) | 722.408 | − | 193.569i | 0.746289 | − | 0.199968i | ||||
\(969\) | −3.68048 | + | 23.0700i | −0.00379822 | + | 0.0238081i | ||||
\(970\) | 59.7460 | + | 923.293i | 0.0615938 | + | 0.951848i | ||||
\(971\) | −634.234 | + | 1098.53i | −0.653177 | + | 1.13134i | 0.329171 | + | 0.944270i | \(0.393231\pi\) |
−0.982348 | + | 0.187065i | \(0.940103\pi\) | |||||||
\(972\) | −240.635 | − | 422.245i | −0.247567 | − | 0.434408i | ||||
\(973\) | −1157.34 | − | 1115.13i | −1.18945 | − | 1.14607i | ||||
\(974\) | 153.977 | 0.158088 | ||||||||
\(975\) | 698.132 | + | 430.493i | 0.716033 | + | 0.441531i | ||||
\(976\) | −77.1174 | + | 44.5237i | −0.0790137 | + | 0.0456186i | ||||
\(977\) | −1393.20 | − | 373.308i | −1.42600 | − | 0.382096i | −0.538392 | − | 0.842694i | \(-0.680968\pi\) |
−0.887609 | + | 0.460599i | \(0.847635\pi\) | |||||||
\(978\) | 73.7672 | + | 32.9425i | 0.0754266 | + | 0.0336835i | ||||
\(979\) | −32.4122 | −0.0331075 | ||||||||
\(980\) | 200.625 | − | 447.045i | 0.204719 | − | 0.456169i | ||||
\(981\) | −53.1370 | − | 252.778i | −0.0541662 | − | 0.257674i | ||||
\(982\) | 213.347 | − | 57.1661i | 0.217257 | − | 0.0582139i | ||||
\(983\) | −1528.03 | − | 409.434i | −1.55445 | − | 0.416514i | −0.623551 | − | 0.781783i | \(-0.714311\pi\) |
−0.930902 | + | 0.365268i | \(0.880977\pi\) | |||||||
\(984\) | −100.284 | + | 628.605i | −0.101915 | + | 0.638826i | ||||
\(985\) | 1339.83 | + | 267.666i | 1.36024 | + | 0.271742i | ||||
\(986\) | 536.379 | 0.543995 | ||||||||
\(987\) | −133.168 | − | 1084.61i | −0.134922 | − | 1.09890i | ||||
\(988\) | 9.47872 | − | 9.47872i | 0.00959384 | − | 0.00959384i | ||||
\(989\) | −417.521 | + | 723.167i | −0.422165 | + | 0.731211i | ||||
\(990\) | −1088.20 | − | 613.822i | −1.09919 | − | 0.620022i | ||||
\(991\) | −280.787 | − | 486.337i | −0.283337 | − | 0.490754i | 0.688868 | − | 0.724887i | \(-0.258108\pi\) |
−0.972204 | + | 0.234133i | \(0.924775\pi\) | |||||||
\(992\) | 110.308 | − | 29.5570i | 0.111198 | − | 0.0297953i | ||||
\(993\) | 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 | ||||
\(996\) | 325.984 | − | 124.714i | 0.327293 | − | 0.125215i | ||||
\(997\) | −477.989 | − | 128.077i | −0.479428 | − | 0.128462i | 0.0110085 | − | 0.999939i | \(-0.496496\pi\) |
−0.490436 | + | 0.871477i | \(0.663162\pi\) | |||||||
\(998\) | −254.382 | + | 949.366i | −0.254892 | + | 0.951269i | ||||
\(999\) | 310.884 | − | 200.406i | 0.311195 | − | 0.200606i |
(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.47.4 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.47.15 | yes | 64 | ||
5.3 | odd | 4 | 210.3.w.a.173.13 | yes | 64 | ||
7.3 | odd | 6 | inner | 210.3.w.b.17.10 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.173.10 | yes | 64 | |
21.17 | even | 6 | 210.3.w.a.17.13 | ✓ | 64 | ||
35.3 | even | 12 | 210.3.w.a.143.15 | yes | 64 | ||
105.38 | odd | 12 | inner | 210.3.w.b.143.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.13 | ✓ | 64 | 21.17 | even | 6 | ||
210.3.w.a.47.15 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.a.143.15 | yes | 64 | 35.3 | even | 12 | ||
210.3.w.a.173.13 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.b.17.10 | yes | 64 | 7.3 | odd | 6 | inner | |
210.3.w.b.47.4 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.143.4 | yes | 64 | 105.38 | odd | 12 | inner | |
210.3.w.b.173.10 | yes | 64 | 15.8 | even | 4 | inner |