Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [46,4,Mod(3,46)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(46, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("46.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 46 = 2 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 46.c (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.71408786026\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 27.3 | ||
Character | \(\chi\) | \(=\) | 46.27 |
Dual form | 46.4.c.b.29.3 |
$q$-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 \(\left(\mathbb{Z}/46\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.830830 | − | 1.81926i | −0.293743 | − | 0.643207i | ||||
\(3\) | 4.04264 | − | 1.18703i | 0.778007 | − | 0.228443i | 0.131464 | − | 0.991321i | \(-0.458032\pi\) |
0.646543 | + | 0.762878i | \(0.276214\pi\) | |||||||
\(4\) | −2.61944 | + | 3.02300i | −0.327430 | + | 0.377875i | ||||
\(5\) | 17.3103 | + | 11.1246i | 1.54828 | + | 0.995017i | 0.985746 | + | 0.168239i | \(0.0538082\pi\) |
0.562530 | + | 0.826777i | \(0.309828\pi\) | |||||||
\(6\) | −5.51826 | − | 6.36842i | −0.375470 | − | 0.433316i | ||||
\(7\) | −4.23099 | − | 29.4272i | −0.228452 | − | 1.58892i | −0.704632 | − | 0.709572i | \(-0.748888\pi\) |
0.476180 | − | 0.879348i | \(-0.342021\pi\) | |||||||
\(8\) | 7.67594 | + | 2.25386i | 0.339232 | + | 0.0996075i | ||||
\(9\) | −7.77992 | + | 4.99985i | −0.288145 | + | 0.185180i | ||||
\(10\) | 5.85675 | − | 40.7346i | 0.185207 | − | 1.28814i | ||||
\(11\) | 11.8761 | − | 26.0051i | 0.325526 | − | 0.712803i | −0.674141 | − | 0.738603i | \(-0.735486\pi\) |
0.999667 | + | 0.0257997i | \(0.00821323\pi\) | |||||||
\(12\) | −7.00109 | + | 15.3302i | −0.168420 | + | 0.368788i | ||||
\(13\) | −5.03521 | + | 35.0206i | −0.107424 | + | 0.747152i | 0.862905 | + | 0.505366i | \(0.168642\pi\) |
−0.970329 | + | 0.241786i | \(0.922267\pi\) | |||||||
\(14\) | −50.0206 | + | 32.1463i | −0.954898 | + | 0.613676i | ||||
\(15\) | 83.1844 | + | 24.4251i | 1.43187 | + | 0.420436i | ||||
\(16\) | −2.27704 | − | 15.8371i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 5.42123 | + | 6.25643i | 0.0773436 | + | 0.0892593i | 0.793102 | − | 0.609088i | \(-0.208464\pi\) |
−0.715759 | + | 0.698348i | \(0.753919\pi\) | |||||||
\(18\) | 15.5598 | + | 9.99971i | 0.203750 | + | 0.130942i | ||||
\(19\) | −41.3286 | + | 47.6957i | −0.499022 | + | 0.575902i | −0.948254 | − | 0.317513i | \(-0.897152\pi\) |
0.449232 | + | 0.893415i | \(0.351698\pi\) | |||||||
\(20\) | −78.9729 | + | 23.1885i | −0.882944 | + | 0.259256i | ||||
\(21\) | −52.0353 | − | 113.941i | −0.540716 | − | 1.18400i | ||||
\(22\) | −57.1772 | −0.554101 | ||||||||
\(23\) | −86.6957 | + | 68.1972i | −0.785969 | + | 0.618265i | ||||
\(24\) | 33.7065 | 0.286679 | ||||||||
\(25\) | 123.961 | + | 271.436i | 0.991685 | + | 2.17149i | ||||
\(26\) | 67.8952 | − | 19.9358i | 0.512129 | − | 0.150375i | ||||
\(27\) | −100.013 | + | 115.421i | −0.712871 | + | 0.822697i | ||||
\(28\) | 100.041 | + | 64.2926i | 0.675215 | + | 0.433934i | ||||
\(29\) | −183.506 | − | 211.777i | −1.17504 | − | 1.35607i | −0.921327 | − | 0.388788i | \(-0.872894\pi\) |
−0.253712 | − | 0.967280i | \(-0.581651\pi\) | |||||||
\(30\) | −24.6763 | − | 171.627i | −0.150175 | − | 1.04449i | ||||
\(31\) | 102.623 | + | 30.1329i | 0.594571 | + | 0.174582i | 0.565154 | − | 0.824985i | \(-0.308817\pi\) |
0.0294170 | + | 0.999567i | \(0.490635\pi\) | |||||||
\(32\) | −26.9201 | + | 17.3005i | −0.148714 | + | 0.0955727i | ||||
\(33\) | 17.1422 | − | 119.227i | 0.0904265 | − | 0.628930i | ||||
\(34\) | 6.87798 | − | 15.0607i | 0.0346931 | − | 0.0759672i | ||||
\(35\) | 254.127 | − | 556.461i | 1.22729 | − | 2.68740i | ||||
\(36\) | 5.26452 | − | 36.6155i | 0.0243728 | − | 0.169516i | ||||
\(37\) | 73.1400 | − | 47.0042i | 0.324977 | − | 0.208850i | −0.367972 | − | 0.929837i | \(-0.619948\pi\) |
0.692949 | + | 0.720987i | \(0.256311\pi\) | |||||||
\(38\) | 121.108 | + | 35.5605i | 0.517009 | + | 0.151807i | ||||
\(39\) | 21.2149 | + | 147.553i | 0.0871052 | + | 0.605830i | ||||
\(40\) | 107.799 | + | 124.407i | 0.426114 | + | 0.491761i | ||||
\(41\) | −36.1117 | − | 23.2076i | −0.137554 | − | 0.0884005i | 0.470054 | − | 0.882638i | \(-0.344234\pi\) |
−0.607608 | + | 0.794237i | \(0.707871\pi\) | |||||||
\(42\) | −164.057 | + | 189.332i | −0.602727 | + | 0.695584i | ||||
\(43\) | −134.644 | + | 39.5350i | −0.477512 | + | 0.140210i | −0.511627 | − | 0.859208i | \(-0.670957\pi\) |
0.0341151 | + | 0.999418i | \(0.489139\pi\) | |||||||
\(44\) | 47.5045 | + | 104.020i | 0.162763 | + | 0.356402i | ||||
\(45\) | −190.294 | −0.630385 | ||||||||
\(46\) | 196.098 | + | 101.062i | 0.628545 | + | 0.323930i | ||||
\(47\) | 33.4543 | 0.103826 | 0.0519128 | − | 0.998652i | \(-0.483468\pi\) | ||||
0.0519128 | + | 0.998652i | \(0.483468\pi\) | |||||||
\(48\) | −28.0044 | − | 61.3210i | −0.0842100 | − | 0.184394i | ||||
\(49\) | −518.954 | + | 152.379i | −1.51298 | + | 0.444252i | ||||
\(50\) | 390.824 | − | 451.034i | 1.10542 | − | 1.27572i | ||||
\(51\) | 29.3427 | + | 18.8574i | 0.0805646 | + | 0.0517757i | ||||
\(52\) | −92.6779 | − | 106.956i | −0.247156 | − | 0.285233i | ||||
\(53\) | 64.8065 | + | 450.739i | 0.167960 | + | 1.16818i | 0.883093 | + | 0.469197i | \(0.155457\pi\) |
−0.715134 | + | 0.698988i | \(0.753634\pi\) | |||||||
\(54\) | 293.075 | + | 86.0547i | 0.738565 | + | 0.216862i | ||||
\(55\) | 494.876 | − | 318.037i | 1.21326 | − | 0.779712i | ||||
\(56\) | 33.8480 | − | 235.418i | 0.0807701 | − | 0.561768i | ||||
\(57\) | −110.461 | + | 241.875i | −0.256682 | + | 0.562054i | ||||
\(58\) | −232.816 | + | 509.796i | −0.527073 | + | 1.15413i | ||||
\(59\) | 111.227 | − | 773.602i | 0.245433 | − | 1.70702i | −0.378546 | − | 0.925583i | \(-0.623576\pi\) |
0.623979 | − | 0.781441i | \(-0.285515\pi\) | |||||||
\(60\) | −291.734 | + | 187.486i | −0.627711 | + | 0.403406i | ||||
\(61\) | −186.576 | − | 54.7836i | −0.391616 | − | 0.114989i | 0.0799955 | − | 0.996795i | \(-0.474509\pi\) |
−0.471612 | + | 0.881806i | \(0.656328\pi\) | |||||||
\(62\) | −30.4428 | − | 211.734i | −0.0623587 | − | 0.433714i | ||||
\(63\) | 180.049 | + | 207.787i | 0.360063 | + | 0.415535i | ||||
\(64\) | 53.8402 | + | 34.6010i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −476.752 | + | 550.201i | −0.909751 | + | 1.04991i | ||||
\(66\) | −231.147 | + | 67.8709i | −0.431094 | + | 0.126581i | ||||
\(67\) | −18.9250 | − | 41.4400i | −0.0345084 | − | 0.0755628i | 0.891593 | − | 0.452838i | \(-0.149588\pi\) |
−0.926101 | + | 0.377275i | \(0.876861\pi\) | |||||||
\(68\) | −33.1138 | −0.0590535 | ||||||||
\(69\) | −269.528 | + | 378.607i | −0.470251 | + | 0.660564i | ||||
\(70\) | −1223.49 | −2.08906 | ||||||||
\(71\) | 123.917 | + | 271.341i | 0.207131 | + | 0.453553i | 0.984476 | − | 0.175522i | \(-0.0561613\pi\) |
−0.777345 | + | 0.629075i | \(0.783434\pi\) | |||||||
\(72\) | −70.9872 | + | 20.8437i | −0.116193 | + | 0.0341175i | ||||
\(73\) | 556.959 | − | 642.765i | 0.892975 | − | 1.03055i | −0.106369 | − | 0.994327i | \(-0.533923\pi\) |
0.999344 | − | 0.0362209i | \(-0.0115320\pi\) | |||||||
\(74\) | −146.280 | − | 94.0085i | −0.229793 | − | 0.147679i | ||||
\(75\) | 823.330 | + | 950.174i | 1.26760 | + | 1.46289i | ||||
\(76\) | −35.9262 | − | 249.872i | −0.0542240 | − | 0.377136i | ||||
\(77\) | −815.506 | − | 239.454i | −1.20695 | − | 0.354394i | ||||
\(78\) | 250.812 | − | 161.187i | 0.364088 | − | 0.233985i | ||||
\(79\) | 24.3529 | − | 169.378i | 0.0346824 | − | 0.241222i | −0.965104 | − | 0.261865i | \(-0.915662\pi\) |
0.999787 | + | 0.0206435i | \(0.00657151\pi\) | |||||||
\(80\) | 136.766 | − | 299.476i | 0.191137 | − | 0.418531i | ||||
\(81\) | −163.581 | + | 358.193i | −0.224391 | + | 0.491348i | ||||
\(82\) | −12.2180 | + | 84.9784i | −0.0164544 | + | 0.114443i | ||||
\(83\) | 416.427 | − | 267.621i | 0.550708 | − | 0.353919i | −0.235506 | − | 0.971873i | \(-0.575675\pi\) |
0.786214 | + | 0.617954i | \(0.212038\pi\) | |||||||
\(84\) | 480.748 | + | 141.160i | 0.624451 | + | 0.183355i | ||||
\(85\) | 24.2424 | + | 168.610i | 0.0309348 | + | 0.215156i | ||||
\(86\) | 183.791 | + | 212.106i | 0.230450 | + | 0.265953i | ||||
\(87\) | −993.232 | − | 638.312i | −1.22397 | − | 0.786600i | ||||
\(88\) | 149.772 | − | 172.847i | 0.181429 | − | 0.209381i | ||||
\(89\) | 1411.88 | − | 414.566i | 1.68156 | − | 0.493752i | 0.705041 | − | 0.709166i | \(-0.250928\pi\) |
0.976523 | + | 0.215415i | \(0.0691103\pi\) | |||||||
\(90\) | 158.102 | + | 346.195i | 0.185171 | + | 0.405468i | ||||
\(91\) | 1051.86 | 1.21171 | ||||||||
\(92\) | 20.9342 | − | 440.720i | 0.0237233 | − | 0.499437i | ||||
\(93\) | 450.638 | 0.502462 | ||||||||
\(94\) | −27.7948 | − | 60.8622i | −0.0304980 | − | 0.0667814i | ||||
\(95\) | −1246.00 | + | 365.860i | −1.34566 | + | 0.395120i | ||||
\(96\) | −88.2922 | + | 101.895i | −0.0938676 | + | 0.108329i | ||||
\(97\) | 183.811 | + | 118.128i | 0.192404 | + | 0.123651i | 0.633296 | − | 0.773910i | \(-0.281702\pi\) |
−0.440892 | + | 0.897560i | \(0.645338\pi\) | |||||||
\(98\) | 708.379 | + | 817.513i | 0.730174 | + | 0.842666i | ||||
\(99\) | 37.6263 | + | 261.697i | 0.0381978 | + | 0.265672i | ||||
\(100\) | −1145.26 | − | 336.278i | −1.14526 | − | 0.336278i | ||||
\(101\) | 275.195 | − | 176.857i | 0.271118 | − | 0.174237i | −0.398017 | − | 0.917378i | \(-0.630301\pi\) |
0.669134 | + | 0.743141i | \(0.266665\pi\) | |||||||
\(102\) | 9.92779 | − | 69.0493i | 0.00963723 | − | 0.0670284i | ||||
\(103\) | −119.017 | + | 260.611i | −0.113855 | + | 0.249308i | −0.957978 | − | 0.286842i | \(-0.907395\pi\) |
0.844123 | + | 0.536150i | \(0.180122\pi\) | |||||||
\(104\) | −117.582 | + | 257.468i | −0.110864 | + | 0.242758i | ||||
\(105\) | 366.811 | − | 2551.23i | 0.340925 | − | 2.37118i | ||||
\(106\) | 766.170 | − | 492.388i | 0.702048 | − | 0.451179i | ||||
\(107\) | 297.973 | + | 87.4928i | 0.269216 | + | 0.0790490i | 0.413554 | − | 0.910479i | \(-0.364287\pi\) |
−0.144338 | + | 0.989528i | \(0.546105\pi\) | |||||||
\(108\) | −86.9396 | − | 604.679i | −0.0774608 | − | 0.538752i | ||||
\(109\) | 958.206 | + | 1105.83i | 0.842013 | + | 0.971735i | 0.999876 | − | 0.0157257i | \(-0.00500586\pi\) |
−0.157863 | + | 0.987461i | \(0.550460\pi\) | |||||||
\(110\) | −989.752 | − | 636.075i | −0.857901 | − | 0.551339i | ||||
\(111\) | 239.884 | − | 276.840i | 0.205124 | − | 0.236725i | ||||
\(112\) | −456.409 | + | 134.014i | −0.385059 | + | 0.113063i | ||||
\(113\) | −565.962 | − | 1239.28i | −0.471161 | − | 1.03170i | −0.984800 | − | 0.173692i | \(-0.944430\pi\) |
0.513639 | − | 0.858006i | \(-0.328297\pi\) | |||||||
\(114\) | 531.808 | 0.436916 | ||||||||
\(115\) | −2259.39 | + | 216.055i | −1.83208 | + | 0.175193i | ||||
\(116\) | 1120.88 | 0.897167 | ||||||||
\(117\) | −135.925 | − | 297.633i | −0.107404 | − | 0.235181i | ||||
\(118\) | −1499.80 | + | 440.380i | −1.17006 | + | 0.343562i | ||||
\(119\) | 161.172 | − | 186.003i | 0.124157 | − | 0.143284i | ||||
\(120\) | 583.468 | + | 374.972i | 0.443859 | + | 0.285251i | ||||
\(121\) | 336.397 | + | 388.223i | 0.252740 | + | 0.291677i | ||||
\(122\) | 55.3470 | + | 384.947i | 0.0410728 | + | 0.285667i | ||||
\(123\) | −173.535 | − | 50.9544i | −0.127212 | − | 0.0373529i | ||||
\(124\) | −359.908 | + | 231.299i | −0.260651 | + | 0.167510i | ||||
\(125\) | −507.786 | + | 3531.73i | −0.363342 | + | 2.52710i | ||||
\(126\) | 228.430 | − | 500.192i | 0.161509 | − | 0.353656i | ||||
\(127\) | −407.951 | + | 893.289i | −0.285038 | + | 0.624146i | −0.996943 | − | 0.0781295i | \(-0.975105\pi\) |
0.711905 | + | 0.702275i | \(0.247833\pi\) | |||||||
\(128\) | 18.2163 | − | 126.697i | 0.0125790 | − | 0.0874887i | ||||
\(129\) | −497.388 | + | 319.652i | −0.339477 | + | 0.218169i | ||||
\(130\) | 1397.06 | + | 410.214i | 0.942542 | + | 0.276755i | ||||
\(131\) | −287.253 | − | 1997.89i | −0.191583 | − | 1.33249i | −0.827819 | − | 0.560996i | \(-0.810418\pi\) |
0.636236 | − | 0.771495i | \(-0.280491\pi\) | |||||||
\(132\) | 315.519 | + | 364.128i | 0.208048 | + | 0.240101i | ||||
\(133\) | 1578.41 | + | 1014.38i | 1.02907 | + | 0.661340i | ||||
\(134\) | −59.6669 | + | 68.8593i | −0.0384659 | + | 0.0443921i | ||||
\(135\) | −3015.27 | + | 885.363i | −1.92232 | + | 0.564444i | ||||
\(136\) | 27.5119 | + | 60.2427i | 0.0173465 | + | 0.0379836i | ||||
\(137\) | −2140.39 | −1.33479 | −0.667393 | − | 0.744706i | \(-0.732590\pi\) | ||||
−0.667393 | + | 0.744706i | \(0.732590\pi\) | |||||||
\(138\) | 912.718 | + | 175.784i | 0.563012 | + | 0.108433i | ||||
\(139\) | 1380.01 | 0.842092 | 0.421046 | − | 0.907039i | \(-0.361663\pi\) | ||||
0.421046 | + | 0.907039i | \(0.361663\pi\) | |||||||
\(140\) | 1016.51 | + | 2225.84i | 0.613647 | + | 1.34370i | ||||
\(141\) | 135.244 | − | 39.7111i | 0.0807771 | − | 0.0237183i | ||||
\(142\) | 390.687 | − | 450.876i | 0.230885 | − | 0.266456i | ||||
\(143\) | 850.917 | + | 546.851i | 0.497603 | + | 0.319790i | ||||
\(144\) | 96.8986 | + | 111.827i | 0.0560756 | + | 0.0647146i | ||||
\(145\) | −820.592 | − | 5707.34i | −0.469975 | − | 3.26875i | ||||
\(146\) | −1632.10 | − | 479.227i | −0.925160 | − | 0.271652i | ||||
\(147\) | −1917.07 | + | 1232.02i | −1.07563 | + | 0.691262i | ||||
\(148\) | −49.4924 | + | 344.227i | −0.0274882 | + | 0.191184i | ||||
\(149\) | 669.314 | − | 1465.59i | 0.368002 | − | 0.805813i | −0.631534 | − | 0.775349i | \(-0.717574\pi\) |
0.999536 | − | 0.0304641i | \(-0.00969851\pi\) | |||||||
\(150\) | 1044.57 | − | 2287.29i | 0.568592 | − | 1.24504i | ||||
\(151\) | −81.4405 | + | 566.431i | −0.0438909 | + | 0.305268i | 0.956037 | + | 0.293247i | \(0.0947357\pi\) |
−0.999928 | + | 0.0120215i | \(0.996173\pi\) | |||||||
\(152\) | −424.735 | + | 272.961i | −0.226649 | + | 0.145658i | ||||
\(153\) | −73.4580 | − | 21.5692i | −0.0388152 | − | 0.0113972i | ||||
\(154\) | 241.916 | + | 1682.57i | 0.126586 | + | 0.880422i | ||||
\(155\) | 1441.22 | + | 1663.25i | 0.746848 | + | 0.861909i | ||||
\(156\) | −501.623 | − | 322.374i | −0.257449 | − | 0.165452i | ||||
\(157\) | −2342.85 | + | 2703.79i | −1.19095 | + | 1.37443i | −0.281009 | + | 0.959705i | \(0.590669\pi\) |
−0.909945 | + | 0.414729i | \(0.863876\pi\) | |||||||
\(158\) | −328.376 | + | 96.4200i | −0.165343 | + | 0.0485491i | ||||
\(159\) | 797.029 | + | 1745.25i | 0.397538 | + | 0.870486i | ||||
\(160\) | −658.456 | −0.325347 | ||||||||
\(161\) | 2373.66 | + | 2262.67i | 1.16193 | + | 1.10760i | ||||
\(162\) | 787.556 | 0.381952 | ||||||||
\(163\) | −894.318 | − | 1958.28i | −0.429745 | − | 0.941010i | −0.993368 | − | 0.114978i | \(-0.963320\pi\) |
0.563623 | − | 0.826032i | \(-0.309407\pi\) | |||||||
\(164\) | 164.749 | − | 48.3747i | 0.0784436 | − | 0.0230331i | ||||
\(165\) | 1623.09 | − | 1873.14i | 0.765801 | − | 0.883781i | ||||
\(166\) | −832.854 | − | 535.243i | −0.389410 | − | 0.250258i | ||||
\(167\) | −1115.69 | − | 1287.58i | −0.516976 | − | 0.596622i | 0.435895 | − | 0.899998i | \(-0.356432\pi\) |
−0.952871 | + | 0.303375i | \(0.901886\pi\) | |||||||
\(168\) | −142.612 | − | 991.888i | −0.0654926 | − | 0.455511i | ||||
\(169\) | 906.914 | + | 266.294i | 0.412796 | + | 0.121208i | ||||
\(170\) | 286.604 | − | 184.189i | 0.129303 | − | 0.0830981i | ||||
\(171\) | 83.0616 | − | 577.706i | 0.0371455 | − | 0.258352i | ||||
\(172\) | 233.178 | − | 510.588i | 0.103370 | − | 0.226349i | ||||
\(173\) | −441.180 | + | 966.049i | −0.193886 | + | 0.424551i | −0.981460 | − | 0.191670i | \(-0.938610\pi\) |
0.787573 | + | 0.616221i | \(0.211337\pi\) | |||||||
\(174\) | −336.050 | + | 2337.28i | −0.146413 | + | 1.01833i | ||||
\(175\) | 7463.13 | − | 4796.26i | 3.22377 | − | 2.07179i | ||||
\(176\) | −438.889 | − | 128.869i | −0.187969 | − | 0.0551926i | ||||
\(177\) | −468.635 | − | 3259.43i | −0.199010 | − | 1.38414i | ||||
\(178\) | −1927.24 | − | 2224.15i | −0.811532 | − | 0.936558i | ||||
\(179\) | −1948.54 | − | 1252.25i | −0.813633 | − | 0.522890i | 0.0664052 | − | 0.997793i | \(-0.478847\pi\) |
−0.880038 | + | 0.474902i | \(0.842483\pi\) | |||||||
\(180\) | 498.464 | − | 575.258i | 0.206407 | − | 0.238207i | ||||
\(181\) | −1844.97 | + | 541.731i | −0.757654 | + | 0.222467i | −0.637671 | − | 0.770309i | \(-0.720102\pi\) |
−0.119983 | + | 0.992776i | \(0.538284\pi\) | |||||||
\(182\) | −873.920 | − | 1913.62i | −0.355930 | − | 0.779378i | ||||
\(183\) | −819.289 | −0.330949 | ||||||||
\(184\) | −819.178 | + | 328.078i | −0.328210 | + | 0.131447i | ||||
\(185\) | 1788.98 | 0.710963 | ||||||||
\(186\) | −374.404 | − | 819.830i | −0.147595 | − | 0.323187i | ||||
\(187\) | 227.082 | − | 66.6774i | 0.0888017 | − | 0.0260745i | ||||
\(188\) | −87.6316 | + | 101.132i | −0.0339957 | + | 0.0392331i | ||||
\(189\) | 3819.68 | + | 2454.76i | 1.47006 | + | 0.944748i | ||||
\(190\) | 1700.81 | + | 1962.84i | 0.649421 | + | 0.749472i | ||||
\(191\) | 120.423 | + | 837.560i | 0.0456204 | + | 0.317297i | 0.999835 | + | 0.0181736i | \(0.00578514\pi\) |
−0.954214 | + | 0.299123i | \(0.903306\pi\) | |||||||
\(192\) | 258.729 | + | 75.9697i | 0.0972509 | + | 0.0285554i | ||||
\(193\) | 1791.03 | − | 1151.03i | 0.667986 | − | 0.429289i | −0.162213 | − | 0.986756i | \(-0.551863\pi\) |
0.830199 | + | 0.557467i | \(0.188227\pi\) | |||||||
\(194\) | 62.1906 | − | 432.545i | 0.0230156 | − | 0.160077i | ||||
\(195\) | −1274.23 | + | 2790.19i | −0.467948 | + | 1.02466i | ||||
\(196\) | 898.729 | − | 1967.94i | 0.327525 | − | 0.717180i | ||||
\(197\) | −108.593 | + | 755.278i | −0.0392736 | + | 0.273154i | −0.999990 | − | 0.00437668i | \(-0.998607\pi\) |
0.960717 | + | 0.277530i | \(0.0895159\pi\) | |||||||
\(198\) | 444.834 | − | 285.878i | 0.159662 | − | 0.102608i | ||||
\(199\) | 3542.32 | + | 1040.12i | 1.26185 | + | 0.370513i | 0.843184 | − | 0.537625i | \(-0.180679\pi\) |
0.418669 | + | 0.908139i | \(0.362497\pi\) | |||||||
\(200\) | 339.736 | + | 2362.92i | 0.120115 | + | 0.835418i | ||||
\(201\) | −125.698 | − | 145.063i | −0.0441096 | − | 0.0509052i | ||||
\(202\) | −550.389 | − | 353.714i | −0.191709 | − | 0.123204i | ||||
\(203\) | −5455.59 | + | 6296.09i | −1.88624 | + | 2.17684i | ||||
\(204\) | −133.867 | + | 39.3070i | −0.0459440 | + | 0.0134904i | ||||
\(205\) | −366.927 | − | 803.459i | −0.125011 | − | 0.273737i | ||||
\(206\) | 573.003 | 0.193801 | ||||||||
\(207\) | 333.509 | − | 964.035i | 0.111983 | − | 0.323696i | ||||
\(208\) | 566.092 | 0.188709 | ||||||||
\(209\) | 749.508 | + | 1641.19i | 0.248060 | + | 0.543176i | ||||
\(210\) | −4946.11 | + | 1452.31i | −1.62531 | + | 0.477233i | ||||
\(211\) | −2982.75 | + | 3442.27i | −0.973179 | + | 1.12311i | 0.0191914 | + | 0.999816i | \(0.493891\pi\) |
−0.992370 | + | 0.123293i | \(0.960655\pi\) | |||||||
\(212\) | −1532.34 | − | 984.776i | −0.496423 | − | 0.319031i | ||||
\(213\) | 823.042 | + | 949.841i | 0.264760 | + | 0.305549i | ||||
\(214\) | −88.3925 | − | 614.783i | −0.0282354 | − | 0.196382i | ||||
\(215\) | −2770.53 | − | 813.502i | −0.878831 | − | 0.258048i | ||||
\(216\) | −1027.84 | + | 660.551i | −0.323775 | + | 0.208078i | ||||
\(217\) | 452.529 | − | 3147.41i | 0.141565 | − | 0.984609i | ||||
\(218\) | 1215.69 | − | 2661.98i | 0.377692 | − | 0.827029i | ||||
\(219\) | 1488.61 | − | 3259.60i | 0.459319 | − | 1.00577i | ||||
\(220\) | −334.872 | + | 2329.09i | −0.102623 | + | 0.713760i | ||||
\(221\) | −246.401 | + | 158.353i | −0.0749989 | + | 0.0481989i | ||||
\(222\) | −702.948 | − | 206.404i | −0.212517 | − | 0.0624007i | ||||
\(223\) | 188.029 | + | 1307.77i | 0.0564635 | + | 0.392713i | 0.998382 | + | 0.0568698i | \(0.0181120\pi\) |
−0.941918 | + | 0.335843i | \(0.890979\pi\) | |||||||
\(224\) | 623.005 | + | 718.986i | 0.185831 | + | 0.214461i | ||||
\(225\) | −2321.55 | − | 1491.97i | −0.687865 | − | 0.442064i | ||||
\(226\) | −1784.36 | + | 2059.27i | −0.525196 | + | 0.606108i | ||||
\(227\) | 1117.97 | − | 328.266i | 0.326883 | − | 0.0959814i | −0.114174 | − | 0.993461i | \(-0.536422\pi\) |
0.441056 | + | 0.897479i | \(0.354604\pi\) | |||||||
\(228\) | −441.842 | − | 967.499i | −0.128341 | − | 0.281027i | ||||
\(229\) | 504.598 | 0.145610 | 0.0728051 | − | 0.997346i | \(-0.476805\pi\) | ||||
0.0728051 | + | 0.997346i | \(0.476805\pi\) | |||||||
\(230\) | 2270.23 | + | 3930.93i | 0.650846 | + | 1.12695i | ||||
\(231\) | −3581.04 | −1.01998 | ||||||||
\(232\) | −931.263 | − | 2039.18i | −0.263536 | − | 0.577064i | ||||
\(233\) | 4885.89 | − | 1434.63i | 1.37376 | − | 0.403372i | 0.490166 | − | 0.871629i | \(-0.336936\pi\) |
0.883592 | + | 0.468258i | \(0.155118\pi\) | |||||||
\(234\) | −428.543 | + | 494.565i | −0.119721 | + | 0.138166i | ||||
\(235\) | 579.102 | + | 372.166i | 0.160751 | + | 0.103308i | ||||
\(236\) | 2047.24 | + | 2362.65i | 0.564679 | + | 0.651674i | ||||
\(237\) | −102.606 | − | 713.642i | −0.0281223 | − | 0.195595i | ||||
\(238\) | −472.295 | − | 138.678i | −0.128632 | − | 0.0377696i | ||||
\(239\) | −32.9740 | + | 21.1911i | −0.00892432 | + | 0.00573531i | −0.545095 | − | 0.838374i | \(-0.683507\pi\) |
0.536171 | + | 0.844109i | \(0.319870\pi\) | |||||||
\(240\) | 197.410 | − | 1373.02i | 0.0530950 | − | 0.369284i | ||||
\(241\) | −1489.39 | + | 3261.30i | −0.398090 | + | 0.871696i | 0.599370 | + | 0.800472i | \(0.295418\pi\) |
−0.997460 | + | 0.0712240i | \(0.977309\pi\) | |||||||
\(242\) | 426.791 | − | 934.542i | 0.113368 | − | 0.248242i | ||||
\(243\) | 350.727 | − | 2439.36i | 0.0925890 | − | 0.643971i | ||||
\(244\) | 654.336 | − | 420.516i | 0.171678 | − | 0.110331i | ||||
\(245\) | −10678.4 | − | 3135.45i | −2.78456 | − | 0.817619i | ||||
\(246\) | 51.4784 | + | 358.040i | 0.0133420 | + | 0.0927960i | ||||
\(247\) | −1462.24 | − | 1687.51i | −0.376680 | − | 0.434712i | ||||
\(248\) | 719.816 | + | 462.597i | 0.184308 | + | 0.118447i | ||||
\(249\) | 1365.79 | − | 1576.21i | 0.347604 | − | 0.401157i | ||||
\(250\) | 6847.03 | − | 2010.47i | 1.73218 | − | 0.508613i | ||||
\(251\) | 1492.63 | + | 3268.39i | 0.375353 | + | 0.821909i | 0.999186 | + | 0.0403509i | \(0.0128476\pi\) |
−0.623832 | + | 0.781558i | \(0.714425\pi\) | |||||||
\(252\) | −1099.77 | −0.274916 | ||||||||
\(253\) | 743.867 | + | 3064.45i | 0.184848 | + | 0.761503i | ||||
\(254\) | 1964.07 | 0.485183 | ||||||||
\(255\) | 298.147 | + | 652.852i | 0.0732185 | + | 0.160326i | ||||
\(256\) | −245.630 | + | 72.1235i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | 1072.04 | − | 1237.20i | 0.260202 | − | 0.300289i | −0.610584 | − | 0.791952i | \(-0.709065\pi\) |
0.870786 | + | 0.491662i | \(0.163611\pi\) | |||||||
\(258\) | 994.776 | + | 639.304i | 0.240047 | + | 0.154269i | ||||
\(259\) | −1692.66 | − | 1953.43i | −0.406088 | − | 0.468650i | ||||
\(260\) | −414.433 | − | 2882.44i | −0.0988539 | − | 0.687544i | ||||
\(261\) | 2486.51 | + | 730.106i | 0.589698 | + | 0.173151i | ||||
\(262\) | −3396.03 | + | 2182.49i | −0.800791 | + | 0.514637i | ||||
\(263\) | −671.844 | + | 4672.77i | −0.157520 | + | 1.09557i | 0.745665 | + | 0.666321i | \(0.232132\pi\) |
−0.903185 | + | 0.429252i | \(0.858777\pi\) | |||||||
\(264\) | 400.303 | − | 876.541i | 0.0933217 | − | 0.204346i | ||||
\(265\) | −3892.49 | + | 8523.36i | −0.902315 | + | 1.97580i | ||||
\(266\) | 534.040 | − | 3714.33i | 0.123098 | − | 0.856166i | ||||
\(267\) | 5215.63 | − | 3351.88i | 1.19547 | − | 0.768284i | ||||
\(268\) | 174.846 | + | 51.3395i | 0.0398524 | + | 0.0117017i | ||||
\(269\) | −1045.68 | − | 7272.86i | −0.237012 | − | 1.64845i | −0.666590 | − | 0.745425i | \(-0.732247\pi\) |
0.429578 | − | 0.903030i | \(-0.358662\pi\) | |||||||
\(270\) | 4115.88 | + | 4749.98i | 0.927721 | + | 1.07065i | ||||
\(271\) | −5009.42 | − | 3219.36i | −1.12288 | − | 0.721631i | −0.158817 | − | 0.987308i | \(-0.550768\pi\) |
−0.964062 | + | 0.265677i | \(0.914404\pi\) | |||||||
\(272\) | 86.7397 | − | 100.103i | 0.0193359 | − | 0.0223148i | ||||
\(273\) | 4252.31 | − | 1248.59i | 0.942716 | − | 0.276806i | ||||
\(274\) | 1778.30 | + | 3893.93i | 0.392084 | + | 0.858543i | ||||
\(275\) | 8530.90 | 1.87066 | ||||||||
\(276\) | −438.516 | − | 1806.52i | −0.0956362 | − | 0.393985i | ||||
\(277\) | −1749.05 | −0.379388 | −0.189694 | − | 0.981843i | \(-0.560750\pi\) | ||||
−0.189694 | + | 0.981843i | \(0.560750\pi\) | |||||||
\(278\) | −1146.55 | − | 2510.60i | −0.247358 | − | 0.541639i | ||||
\(279\) | −949.062 | + | 278.670i | −0.203652 | + | 0.0597976i | ||||
\(280\) | 3204.85 | − | 3698.59i | 0.684023 | − | 0.789405i | ||||
\(281\) | −1427.46 | − | 917.370i | −0.303042 | − | 0.194754i | 0.380278 | − | 0.924872i | \(-0.375828\pi\) |
−0.683320 | + | 0.730119i | \(0.739465\pi\) | |||||||
\(282\) | −184.609 | − | 213.051i | −0.0389835 | − | 0.0449893i | ||||
\(283\) | −114.254 | − | 794.657i | −0.0239990 | − | 0.166917i | 0.974297 | − | 0.225266i | \(-0.0723253\pi\) |
−0.998296 | + | 0.0583496i | \(0.981416\pi\) | |||||||
\(284\) | −1144.86 | − | 336.160i | −0.239207 | − | 0.0702375i | ||||
\(285\) | −4602.87 | + | 2958.08i | −0.956667 | + | 0.614813i | ||||
\(286\) | 287.899 | − | 2002.38i | 0.0595239 | − | 0.413998i | ||||
\(287\) | −530.147 | + | 1160.86i | −0.109037 | + | 0.238757i | ||||
\(288\) | 122.936 | − | 269.193i | 0.0251531 | − | 0.0550777i | ||||
\(289\) | 689.440 | − | 4795.16i | 0.140330 | − | 0.976014i | ||||
\(290\) | −9701.39 | + | 6234.70i | −1.96443 | + | 1.26246i | ||||
\(291\) | 883.304 | + | 259.361i | 0.177939 | + | 0.0522475i | ||||
\(292\) | 484.155 | + | 3367.37i | 0.0970310 | + | 0.674865i | ||||
\(293\) | 3986.52 | + | 4600.69i | 0.794863 | + | 0.917321i | 0.998088 | − | 0.0618114i | \(-0.0196877\pi\) |
−0.203225 | + | 0.979132i | \(0.565142\pi\) | |||||||
\(294\) | 3834.13 | + | 2464.05i | 0.760582 | + | 0.488796i | ||||
\(295\) | 10531.4 | − | 12153.9i | 2.07852 | − | 2.39873i | ||||
\(296\) | 667.360 | − | 195.954i | 0.131046 | − | 0.0384784i | ||||
\(297\) | 1813.77 | + | 3971.61i | 0.354363 | + | 0.775946i | ||||
\(298\) | −3222.39 | −0.626402 | ||||||||
\(299\) | −1951.78 | − | 3379.53i | −0.377506 | − | 0.653656i | ||||
\(300\) | −5029.04 | −0.967840 | ||||||||
\(301\) | 1733.08 | + | 3794.92i | 0.331871 | + | 0.726697i | ||||
\(302\) | 1098.15 | − | 322.446i | 0.209243 | − | 0.0614394i | ||||
\(303\) | 902.580 | − | 1041.63i | 0.171128 | − | 0.197492i | ||||
\(304\) | 849.470 | + | 545.922i | 0.160265 | + | 0.102996i | ||||
\(305\) | −2620.23 | − | 3023.90i | −0.491914 | − | 0.567699i | ||||
\(306\) | 21.7910 | + | 151.560i | 0.00407095 | + | 0.0283141i | ||||
\(307\) | −5241.27 | − | 1538.97i | −0.974381 | − | 0.286104i | −0.244478 | − | 0.969655i | \(-0.578617\pi\) |
−0.729903 | + | 0.683551i | \(0.760435\pi\) | |||||||
\(308\) | 2860.04 | − | 1838.04i | 0.529110 | − | 0.340038i | ||||
\(309\) | −171.791 | + | 1194.83i | −0.0316273 | + | 0.219973i | ||||
\(310\) | 1828.49 | − | 4003.84i | 0.335004 | − | 0.733557i | ||||
\(311\) | 1670.41 | − | 3657.69i | 0.304567 | − | 0.666909i | −0.694025 | − | 0.719951i | \(-0.744164\pi\) |
0.998592 | + | 0.0530415i | \(0.0168916\pi\) | |||||||
\(312\) | −169.719 | + | 1180.42i | −0.0307963 | + | 0.214193i | ||||
\(313\) | −5205.89 | + | 3345.62i | −0.940109 | + | 0.604171i | −0.918426 | − | 0.395593i | \(-0.870539\pi\) |
−0.0216834 | + | 0.999765i | \(0.506903\pi\) | |||||||
\(314\) | 6865.42 | + | 2015.87i | 1.23388 | + | 0.362300i | ||||
\(315\) | 805.133 | + | 5599.82i | 0.144013 | + | 1.00163i | ||||
\(316\) | 448.238 | + | 517.295i | 0.0797955 | + | 0.0920889i | ||||
\(317\) | 351.281 | + | 225.755i | 0.0622394 | + | 0.0399989i | 0.571391 | − | 0.820678i | \(-0.306404\pi\) |
−0.509151 | + | 0.860677i | \(0.670041\pi\) | |||||||
\(318\) | 2512.88 | − | 2900.01i | 0.443129 | − | 0.511398i | ||||
\(319\) | −7686.61 | + | 2256.99i | −1.34912 | + | 0.396136i | ||||
\(320\) | 547.065 | + | 1197.90i | 0.0955683 | + | 0.209265i | ||||
\(321\) | 1308.45 | 0.227510 | ||||||||
\(322\) | 2144.28 | − | 6198.21i | 0.371106 | − | 1.07271i | ||||
\(323\) | −522.457 | −0.0900008 | ||||||||
\(324\) | −654.325 | − | 1432.77i | −0.112196 | − | 0.245674i | ||||
\(325\) | −10130.0 | + | 2974.45i | −1.72896 | + | 0.507670i | ||||
\(326\) | −2819.61 | + | 3254.00i | −0.479030 | + | 0.552830i | ||||
\(327\) | 5186.33 | + | 3333.05i | 0.877079 | + | 0.563664i | ||||
\(328\) | −224.885 | − | 259.531i | −0.0378573 | − | 0.0436897i | ||||
\(329\) | −141.545 | − | 984.466i | −0.0237192 | − | 0.164971i | ||||
\(330\) | −4756.25 | − | 1396.56i | −0.793403 | − | 0.232964i | ||||
\(331\) | 6528.35 | − | 4195.51i | 1.08408 | − | 0.696696i | 0.128583 | − | 0.991699i | \(-0.458957\pi\) |
0.955496 | + | 0.295003i | \(0.0953206\pi\) | |||||||
\(332\) | −281.788 | + | 1959.88i | −0.0465817 | + | 0.323983i | ||||
\(333\) | −334.009 | + | 731.379i | −0.0549658 | + | 0.120358i | ||||
\(334\) | −1415.50 | + | 3099.50i | −0.231894 | + | 0.507776i | ||||
\(335\) | 133.408 | − | 927.872i | 0.0217577 | − | 0.151328i | ||||
\(336\) | −1686.02 | + | 1083.54i | −0.273750 | + | 0.175928i | ||||
\(337\) | −3968.91 | − | 1165.38i | −0.641544 | − | 0.188374i | −0.0552496 | − | 0.998473i | \(-0.517595\pi\) |
−0.586294 | + | 0.810098i | \(0.699414\pi\) | |||||||
\(338\) | −269.032 | − | 1871.16i | −0.0432942 | − | 0.301117i | ||||
\(339\) | −3759.04 | − | 4338.17i | −0.602251 | − | 0.695035i | ||||
\(340\) | −573.208 | − | 368.378i | −0.0914311 | − | 0.0587592i | ||||
\(341\) | 2002.38 | − | 2310.87i | 0.317991 | − | 0.366981i | ||||
\(342\) | −1120.01 | + | 328.864i | −0.177085 | + | 0.0519969i | ||||
\(343\) | 2443.64 | + | 5350.83i | 0.384677 | + | 0.842325i | ||||
\(344\) | −1122.63 | −0.175953 | ||||||||
\(345\) | −8877.45 | + | 3555.39i | −1.38535 | + | 0.554828i | ||||
\(346\) | 2124.04 | 0.330027 | ||||||||
\(347\) | 4816.44 | + | 10546.5i | 0.745129 | + | 1.63161i | 0.774928 | + | 0.632049i | \(0.217786\pi\) |
−0.0297991 | + | 0.999556i | \(0.509487\pi\) | |||||||
\(348\) | 4531.33 | − | 1330.52i | 0.698002 | − | 0.204952i | ||||
\(349\) | −5234.45 | + | 6040.87i | −0.802847 | + | 0.926534i | −0.998534 | − | 0.0541320i | \(-0.982761\pi\) |
0.195687 | + | 0.980666i | \(0.437306\pi\) | |||||||
\(350\) | −14926.3 | − | 9592.52i | −2.27955 | − | 1.46498i | ||||
\(351\) | −3538.54 | − | 4083.69i | −0.538100 | − | 0.621001i | ||||
\(352\) | 130.195 | + | 905.523i | 0.0197142 | + | 0.137115i | ||||
\(353\) | 4102.06 | + | 1204.47i | 0.618501 | + | 0.181608i | 0.575948 | − | 0.817486i | \(-0.304633\pi\) |
0.0425524 | + | 0.999094i | \(0.486451\pi\) | |||||||
\(354\) | −5540.40 | + | 3560.60i | −0.831833 | + | 0.534587i | ||||
\(355\) | −873.527 | + | 6075.51i | −0.130597 | + | 0.908323i | ||||
\(356\) | −2445.11 | + | 5354.05i | −0.364019 | + | 0.797090i | ||||
\(357\) | 430.771 | − | 943.258i | 0.0638623 | − | 0.139839i | ||||
\(358\) | −659.267 | + | 4585.30i | −0.0973278 | + | 0.676930i | ||||
\(359\) | −578.678 | + | 371.894i | −0.0850737 | + | 0.0546736i | −0.582486 | − | 0.812841i | \(-0.697920\pi\) |
0.497412 | + | 0.867514i | \(0.334284\pi\) | |||||||
\(360\) | −1460.69 | − | 428.896i | −0.213847 | − | 0.0627911i | ||||
\(361\) | 409.307 | + | 2846.79i | 0.0596745 | + | 0.415045i | ||||
\(362\) | 2518.41 | + | 2906.39i | 0.365648 | + | 0.421980i | ||||
\(363\) | 1820.76 | + | 1170.13i | 0.263265 | + | 0.169190i | ||||
\(364\) | −2755.30 | + | 3179.78i | −0.396750 | + | 0.457873i | ||||
\(365\) | 16791.6 | − | 4930.47i | 2.40798 | − | 0.707048i | ||||
\(366\) | 680.690 | + | 1490.50i | 0.0972137 | + | 0.212868i | ||||
\(367\) | 1805.34 | 0.256779 | 0.128390 | − | 0.991724i | \(-0.459019\pi\) | ||||
0.128390 | + | 0.991724i | \(0.459019\pi\) | |||||||
\(368\) | 1277.46 | + | 1217.72i | 0.180957 | + | 0.172495i | ||||
\(369\) | 396.981 | 0.0560055 | ||||||||
\(370\) | −1486.34 | − | 3254.62i | −0.208840 | − | 0.457296i | ||||
\(371\) | 12989.8 | − | 3814.15i | 1.81778 | − | 0.533749i | ||||
\(372\) | −1180.42 | + | 1362.28i | −0.164521 | + | 0.189868i | ||||
\(373\) | 8683.33 | + | 5580.44i | 1.20538 | + | 0.774649i | 0.979879 | − | 0.199594i | \(-0.0639624\pi\) |
0.225499 | + | 0.974243i | \(0.427599\pi\) | |||||||
\(374\) | −309.971 | − | 357.725i | −0.0428562 | − | 0.0494587i | ||||
\(375\) | 2139.46 | + | 14880.3i | 0.294617 | + | 2.04910i | ||||
\(376\) | 256.793 | + | 75.4013i | 0.0352210 | + | 0.0103418i | ||||
\(377\) | 8340.55 | − | 5360.15i | 1.13942 | − | 0.732259i | ||||
\(378\) | 1292.35 | − | 8988.49i | 0.175850 | − | 1.22306i | ||||
\(379\) | 3070.14 | − | 6722.66i | 0.416101 | − | 0.911135i | −0.579280 | − | 0.815129i | \(-0.696666\pi\) |
0.995381 | − | 0.0960057i | \(-0.0306067\pi\) | |||||||
\(380\) | 2157.84 | − | 4725.02i | 0.291303 | − | 0.637864i | ||||
\(381\) | −588.843 | + | 4095.49i | −0.0791794 | + | 0.550705i | ||||
\(382\) | 1423.69 | − | 914.951i | 0.190687 | − | 0.122547i | ||||
\(383\) | −7624.40 | − | 2238.73i | −1.01720 | − | 0.298678i | −0.269706 | − | 0.962943i | \(-0.586927\pi\) |
−0.747497 | + | 0.664265i | \(0.768745\pi\) | |||||||
\(384\) | −76.7509 | − | 533.814i | −0.0101997 | − | 0.0709404i | ||||
\(385\) | −11452.8 | − | 13217.2i | −1.51607 | − | 1.74964i | ||||
\(386\) | −3582.07 | − | 2302.05i | −0.472338 | − | 0.303553i | ||||
\(387\) | 849.850 | − | 980.779i | 0.111629 | − | 0.128826i | ||||
\(388\) | −838.584 | + | 246.231i | −0.109723 | + | 0.0322177i | ||||
\(389\) | −5233.96 | − | 11460.8i | −0.682191 | − | 1.49379i | −0.860305 | − | 0.509780i | \(-0.829727\pi\) |
0.178114 | − | 0.984010i | \(-0.443000\pi\) | |||||||
\(390\) | 6134.76 | 0.796527 | ||||||||
\(391\) | −896.669 | − | 172.693i | −0.115976 | − | 0.0223362i | ||||
\(392\) | −4326.90 | −0.557503 | ||||||||
\(393\) | −3532.81 | − | 7735.77i | −0.453452 | − | 0.992921i | ||||
\(394\) | 1464.27 | − | 429.949i | 0.187231 | − | 0.0549759i | ||||
\(395\) | 2305.82 | − | 2661.06i | 0.293718 | − | 0.338968i | ||||
\(396\) | −889.668 | − | 571.755i | −0.112898 | − | 0.0725550i | ||||
\(397\) | 1480.96 | + | 1709.12i | 0.187222 | + | 0.216066i | 0.841599 | − | 0.540102i | \(-0.181615\pi\) |
−0.654377 | + | 0.756168i | \(0.727069\pi\) | |||||||
\(398\) | −1050.82 | − | 7308.59i | −0.132343 | − | 0.920468i | ||||
\(399\) | 7585.06 | + | 2227.17i | 0.951699 | + | 0.279444i | ||||
\(400\) | 4016.51 | − | 2581.25i | 0.502064 | − | 0.322657i | ||||
\(401\) | 981.259 | − | 6824.80i | 0.122199 | − | 0.849911i | −0.832858 | − | 0.553487i | \(-0.813297\pi\) |
0.955056 | − | 0.296424i | \(-0.0957942\pi\) | |||||||
\(402\) | −159.474 | + | 349.200i | −0.0197857 | + | 0.0433246i | ||||
\(403\) | −1572.00 | + | 3442.21i | −0.194311 | + | 0.425481i | ||||
\(404\) | −186.219 | + | 1295.18i | −0.0229325 | + | 0.159499i | ||||
\(405\) | −6816.39 | + | 4380.63i | −0.836319 | + | 0.537470i | ||||
\(406\) | 15986.9 | + | 4694.18i | 1.95423 | + | 0.573813i | ||||
\(407\) | −353.729 | − | 2460.24i | −0.0430804 | − | 0.299631i | ||||
\(408\) | 182.731 | + | 210.882i | 0.0221728 | + | 0.0255888i | ||||
\(409\) | 6904.20 | + | 4437.06i | 0.834696 | + | 0.536427i | 0.886767 | − | 0.462217i | \(-0.152946\pi\) |
−0.0520710 | + | 0.998643i | \(0.516582\pi\) | |||||||
\(410\) | −1156.85 | + | 1335.08i | −0.139348 | + | 0.160816i | ||||
\(411\) | −8652.82 | + | 2540.70i | −1.03847 | + | 0.304923i | ||||
\(412\) | −476.068 | − | 1042.44i | −0.0569276 | − | 0.124654i | ||||
\(413\) | −23235.6 | −2.76839 | ||||||||
\(414\) | −2030.92 | + | 194.207i | −0.241098 | + | 0.0230550i | ||||
\(415\) | 10185.6 | 1.20480 | ||||||||
\(416\) | −470.327 | − | 1029.87i | −0.0554319 | − | 0.121379i | ||||
\(417\) | 5578.88 | − | 1638.11i | 0.655153 | − | 0.192370i | ||||
\(418\) | 2363.05 | − | 2727.11i | 0.276509 | − | 0.319108i | ||||
\(419\) | −8472.68 | − | 5445.06i | −0.987870 | − | 0.634866i | −0.0562949 | − | 0.998414i | \(-0.517929\pi\) |
−0.931575 | + | 0.363549i | \(0.881565\pi\) | |||||||
\(420\) | 6751.51 | + | 7791.66i | 0.784381 | + | 0.905224i | ||||
\(421\) | 1767.01 | + | 12289.8i | 0.204557 | + | 1.42273i | 0.790544 | + | 0.612406i | \(0.209798\pi\) |
−0.585986 | + | 0.810321i | \(0.699293\pi\) | |||||||
\(422\) | 8740.56 | + | 2566.46i | 1.00826 | + | 0.296051i | ||||
\(423\) | −260.272 | + | 167.266i | −0.0299169 | + | 0.0192264i | ||||
\(424\) | −518.452 | + | 3605.91i | −0.0593827 | + | 0.413016i | ||||
\(425\) | −1026.20 | + | 2247.07i | −0.117125 | + | 0.256468i | ||||
\(426\) | 1044.20 | − | 2286.49i | 0.118760 | − | 0.260049i | ||||
\(427\) | −822.728 | + | 5722.20i | −0.0932426 | + | 0.648516i | ||||
\(428\) | −1045.01 | + | 671.590i | −0.118020 | + | 0.0758470i | ||||
\(429\) | 4089.08 | + | 1200.66i | 0.460192 | + | 0.135125i | ||||
\(430\) | 821.867 | + | 5716.21i | 0.0921720 | + | 0.641070i | ||||
\(431\) | −3322.72 | − | 3834.62i | −0.371345 | − | 0.428555i | 0.539064 | − | 0.842265i | \(-0.318778\pi\) |
−0.910409 | + | 0.413710i | \(0.864233\pi\) | |||||||
\(432\) | 2055.68 | + | 1321.10i | 0.228944 | + | 0.147133i | ||||
\(433\) | −2264.32 | + | 2613.16i | −0.251308 | + | 0.290024i | −0.867361 | − | 0.497680i | \(-0.834185\pi\) |
0.616053 | + | 0.787705i | \(0.288731\pi\) | |||||||
\(434\) | −6101.95 | + | 1791.69i | −0.674891 | + | 0.198166i | ||||
\(435\) | −10092.1 | − | 22098.7i | −1.11237 | − | 2.43575i | ||||
\(436\) | −5852.88 | −0.642895 | ||||||||
\(437\) | 330.292 | − | 6953.51i | 0.0361556 | − | 0.761170i | ||||
\(438\) | −7166.84 | −0.781838 | ||||||||
\(439\) | −5428.12 | − | 11885.9i | −0.590137 | − | 1.29222i | −0.935360 | − | 0.353698i | \(-0.884924\pi\) |
0.345223 | − | 0.938521i | \(-0.387803\pi\) | |||||||
\(440\) | 4515.45 | − | 1325.86i | 0.489240 | − | 0.143654i | ||||
\(441\) | 3275.55 | − | 3780.18i | 0.353693 | − | 0.408183i | ||||
\(442\) | 492.803 | + | 316.705i | 0.0530322 | + | 0.0340817i | ||||
\(443\) | −5939.80 | − | 6854.90i | −0.637040 | − | 0.735183i | 0.341809 | − | 0.939770i | \(-0.388960\pi\) |
−0.978848 | + | 0.204586i | \(0.934415\pi\) | |||||||
\(444\) | 208.527 | + | 1450.34i | 0.0222888 | + | 0.155022i | ||||
\(445\) | 29051.9 | + | 8530.41i | 3.09482 | + | 0.908720i | ||||
\(446\) | 2222.96 | − | 1428.61i | 0.236010 | − | 0.151674i | ||||
\(447\) | 966.098 | − | 6719.36i | 0.102226 | − | 0.710995i | ||||
\(448\) | 790.414 | − | 1730.76i | 0.0833561 | − | 0.182524i | ||||
\(449\) | −1901.16 | + | 4162.95i | −0.199824 | + | 0.437555i | −0.982843 | − | 0.184444i | \(-0.940952\pi\) |
0.783019 | + | 0.621998i | \(0.213679\pi\) | |||||||
\(450\) | −785.471 | + | 5463.07i | −0.0822833 | + | 0.572293i | ||||
\(451\) | −1032.38 | + | 663.473i | −0.107789 | + | 0.0692721i | ||||
\(452\) | 5228.85 | + | 1535.33i | 0.544125 | + | 0.159770i | ||||
\(453\) | 343.134 | + | 2386.55i | 0.0355891 | + | 0.247527i | ||||
\(454\) | −1526.05 | − | 1761.15i | −0.157755 | − | 0.182059i | ||||
\(455\) | 18208.0 | + | 11701.6i | 1.87606 | + | 1.20567i | ||||
\(456\) | −1393.04 | + | 1607.65i | −0.143059 | + | 0.165099i | ||||
\(457\) | −16678.3 | + | 4897.19i | −1.70717 | + | 0.501271i | −0.982253 | − | 0.187563i | \(-0.939941\pi\) |
−0.724920 | + | 0.688834i | \(0.758123\pi\) | |||||||
\(458\) | −419.235 | − | 917.996i | −0.0427720 | − | 0.0936575i | ||||
\(459\) | −1264.32 | −0.128569 | ||||||||
\(460\) | 5265.22 | − | 7396.08i | 0.533678 | − | 0.749661i | ||||
\(461\) | −6205.76 | −0.626965 | −0.313483 | − | 0.949594i | \(-0.601496\pi\) | ||||
−0.313483 | + | 0.949594i | \(0.601496\pi\) | |||||||
\(462\) | 2975.23 | + | 6514.85i | 0.299611 | + | 0.656057i | ||||
\(463\) | 1067.37 | − | 313.407i | 0.107138 | − | 0.0314585i | −0.227724 | − | 0.973726i | \(-0.573128\pi\) |
0.334862 | + | 0.942267i | \(0.391310\pi\) | |||||||
\(464\) | −2936.09 | + | 3388.43i | −0.293760 | + | 0.339017i | ||||
\(465\) | 7800.66 | + | 5013.18i | 0.777950 | + | 0.499958i | ||||
\(466\) | −6669.31 | − | 7696.80i | −0.662983 | − | 0.765123i | ||||
\(467\) | 1902.42 | + | 13231.6i | 0.188508 | + | 1.31110i | 0.835873 | + | 0.548923i | \(0.184962\pi\) |
−0.647364 | + | 0.762181i | \(0.724129\pi\) | |||||||
\(468\) | 1255.79 | + | 368.734i | 0.124036 | + | 0.0364203i | ||||
\(469\) | −1139.39 | + | 732.244i | −0.112180 | + | 0.0720935i | ||||
\(470\) | 195.933 | − | 1362.75i | 0.0192292 | − | 0.133742i | ||||
\(471\) | −6261.83 | + | 13711.5i | −0.612590 | + | 1.34139i | ||||
\(472\) | 2597.36 | − | 5687.44i | 0.253291 | − | 0.554630i | ||||
\(473\) | −570.937 | + | 3970.95i | −0.0555004 | + | 0.386014i | ||||
\(474\) | −1213.05 | + | 779.583i | −0.117547 | + | 0.0755431i | ||||
\(475\) | −18069.5 | − | 5305.67i | −1.74544 | − | 0.512507i | ||||
\(476\) | 140.104 | + | 974.447i | 0.0134909 | + | 0.0938313i | ||||
\(477\) | −2757.82 | − | 3182.69i | −0.264721 | − | 0.305504i | ||||
\(478\) | 65.9481 | + | 42.3823i | 0.00631045 | + | 0.00405548i | ||||
\(479\) | −10869.5 | + | 12544.0i | −1.03682 | + | 1.19656i | −0.0566542 | + | 0.998394i | \(0.518043\pi\) |
−0.980169 | + | 0.198164i | \(0.936502\pi\) | |||||||
\(480\) | −2661.90 | + | 781.604i | −0.253122 | + | 0.0743233i | ||||
\(481\) | 1277.84 | + | 2798.09i | 0.121132 | + | 0.265243i | ||||
\(482\) | 7170.59 | 0.677617 | ||||||||
\(483\) | 12281.7 | + | 6329.56i | 1.15701 | + | 0.596284i | ||||
\(484\) | −2054.77 | −0.192972 | ||||||||
\(485\) | 1867.68 | + | 4089.66i | 0.174860 | + | 0.382890i | ||||
\(486\) | −4729.23 | + | 1388.63i | −0.441404 | + | 0.129608i | ||||
\(487\) | −7864.51 | + | 9076.13i | −0.731776 | + | 0.844515i | −0.992670 | − | 0.120852i | \(-0.961437\pi\) |
0.260894 | + | 0.965367i | \(0.415983\pi\) | |||||||
\(488\) | −1308.67 | − | 841.032i | −0.121395 | − | 0.0780158i | ||||
\(489\) | −5939.94 | − | 6855.06i | −0.549312 | − | 0.633940i | ||||
\(490\) | 3167.69 | + | 22031.8i | 0.292045 | + | 2.03121i | ||||
\(491\) | −6215.63 | − | 1825.07i | −0.571298 | − | 0.167748i | −0.0166913 | − | 0.999861i | \(-0.505313\pi\) |
−0.554607 | + | 0.832112i | \(0.687131\pi\) | |||||||
\(492\) | 608.600 | − | 391.123i | 0.0557679 | − | 0.0358398i | ||||
\(493\) | 330.141 | − | 2296.18i | 0.0301598 | − | 0.209766i | ||||
\(494\) | −1855.16 | + | 4062.23i | −0.168963 | + | 0.369976i | ||||
\(495\) | −2259.96 | + | 4948.61i | −0.205207 | + | 0.449341i | ||||
\(496\) | 243.542 | − | 1693.87i | 0.0220471 | − | 0.153341i | ||||
\(497\) | 7460.51 | − | 4794.58i | 0.673340 | − | 0.432729i | ||||
\(498\) | −4002.28 | − | 1175.17i | −0.360133 | − | 0.105745i | ||||
\(499\) | −2709.58 | − | 18845.6i | −0.243081 | − | 1.69067i | −0.636474 | − | 0.771298i | \(-0.719608\pi\) |
0.393393 | − | 0.919371i | \(-0.371301\pi\) | |||||||
\(500\) | −9346.30 | − | 10786.2i | −0.835958 | − | 0.964747i | ||||
\(501\) | −6038.75 | − | 3880.87i | −0.538506 | − | 0.346076i | ||||
\(502\) | 4705.95 | − | 5430.96i | 0.418400 | − | 0.482860i | ||||
\(503\) | −2408.70 | + | 707.258i | −0.213516 | + | 0.0626940i | −0.386741 | − | 0.922188i | \(-0.626399\pi\) |
0.173225 | + | 0.984882i | \(0.444581\pi\) | |||||||
\(504\) | 913.720 | + | 2000.77i | 0.0807546 | + | 0.176828i | ||||
\(505\) | 6731.16 | 0.593134 | ||||||||
\(506\) | 4957.01 | − | 3899.33i | 0.435506 | − | 0.342581i | ||||
\(507\) | 3982.42 | 0.348848 | ||||||||
\(508\) | −1631.80 | − | 3573.15i | −0.142519 | − | 0.312073i | ||||
\(509\) | 4628.52 | − | 1359.06i | 0.403056 | − | 0.118348i | −0.0739201 | − | 0.997264i | \(-0.523551\pi\) |
0.476976 | + | 0.878916i | \(0.341733\pi\) | |||||||
\(510\) | 940.000 | − | 1084.82i | 0.0816155 | − | 0.0941893i | ||||
\(511\) | −21271.3 | − | 13670.2i | −1.84146 | − | 1.18343i | ||||
\(512\) | 335.289 | + | 386.944i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | −1371.70 | − | 9540.39i | −0.118055 | − | 0.821088i | ||||
\(514\) | −3141.48 | − | 922.420i | −0.269581 | − | 0.0791561i | ||||
\(515\) | −4959.41 | + | 3187.22i | −0.424345 | + | 0.272710i | ||||
\(516\) | 336.572 | − | 2340.91i | 0.0287147 | − | 0.199715i | ||||
\(517\) | 397.307 | − | 869.982i | 0.0337980 | − | 0.0740073i | ||||
\(518\) | −2147.50 | + | 4702.36i | −0.182154 | + | 0.398861i | ||||
\(519\) | −636.806 | + | 4429.08i | −0.0538587 | + | 0.374596i | ||||
\(520\) | −4899.60 | + | 3148.78i | −0.413196 | + | 0.265545i | ||||
\(521\) | 20412.4 | + | 5993.63i | 1.71648 | + | 0.504004i | 0.984209 | − | 0.177011i | \(-0.0566428\pi\) |
0.732270 | + | 0.681015i | \(0.238461\pi\) | |||||||
\(522\) | −737.614 | − | 5130.22i | −0.0618477 | − | 0.430160i | ||||
\(523\) | 1810.30 | + | 2089.20i | 0.151355 | + | 0.174674i | 0.826364 | − | 0.563137i | \(-0.190405\pi\) |
−0.675008 | + | 0.737810i | \(0.735860\pi\) | |||||||
\(524\) | 6792.05 | + | 4364.99i | 0.566245 | + | 0.363903i | ||||
\(525\) | 24477.5 | − | 28248.5i | 2.03483 | − | 2.34832i | ||||
\(526\) | 9059.20 | − | 2660.02i | 0.750950 | − | 0.220499i | ||||
\(527\) | 367.820 | + | 805.414i | 0.0304032 | + | 0.0665738i | ||||
\(528\) | −1927.24 | −0.158849 | ||||||||
\(529\) | 2865.27 | − | 11824.8i | 0.235496 | − | 0.971875i | ||||
\(530\) | 18740.2 | 1.53589 | ||||||||
\(531\) | 3002.56 | + | 6574.69i | 0.245386 | + | 0.537320i | ||||
\(532\) | −7201.04 | + | 2114.42i | −0.586851 | + | 0.172315i | ||||
\(533\) | 994.575 | − | 1147.80i | 0.0808252 | − | 0.0932773i | ||||
\(534\) | −10431.3 | − | 6703.77i | −0.845328 | − | 0.543259i | ||||
\(535\) | 4184.66 | + | 4829.36i | 0.338166 | + | 0.390264i | ||||
\(536\) | −51.8674 | − | 360.746i | −0.00417972 | − | 0.0290706i | ||||
\(537\) | −9363.68 | − | 2749.42i | −0.752463 | − | 0.220943i | ||||
\(538\) | −12362.5 | + | 7944.88i | −0.990677 | + | 0.636669i | ||||
\(539\) | −2200.54 | + | 15305.1i | −0.175852 | + | 1.22308i | ||||
\(540\) | 5221.87 | − | 11434.3i | 0.416136 | − | 0.911212i | ||||
\(541\) | 4614.04 | − | 10103.3i | 0.366678 | − | 0.802913i | −0.632910 | − | 0.774225i | \(-0.718140\pi\) |
0.999588 | − | 0.0286881i | \(-0.00913296\pi\) | |||||||
\(542\) | −1694.89 | + | 11788.2i | −0.134320 | + | 0.934218i | ||||
\(543\) | −6815.49 | + | 4380.05i | −0.538638 | + | 0.346162i | ||||
\(544\) | −254.180 | − | 74.6339i | −0.0200328 | − | 0.00588217i | ||||
\(545\) | 4284.86 | + | 29801.8i | 0.336776 | + | 2.34233i | ||||
\(546\) | −5804.46 | − | 6698.71i | −0.454960 | − | 0.525052i | ||||
\(547\) | 21288.6 | + | 13681.4i | 1.66405 | + | 1.06942i | 0.911885 | + | 0.410446i | \(0.134627\pi\) |
0.752166 | + | 0.658974i | \(0.229009\pi\) | |||||||
\(548\) | 5606.62 | − | 6470.39i | 0.437049 | − | 0.504382i | ||||
\(549\) | 1725.46 | − | 506.640i | 0.134136 | − | 0.0393859i | ||||
\(550\) | −7087.72 | − | 15520.0i | −0.549494 | − | 1.20322i | ||||
\(551\) | 17684.9 | 1.36733 | ||||||||
\(552\) | −2922.21 | + | 2298.69i | −0.225321 | + | 0.177244i | ||||
\(553\) | −5087.36 | −0.391205 | ||||||||
\(554\) | 1453.17 | + | 3181.99i | 0.111442 | + | 0.244025i | ||||
\(555\) | 7232.19 | − | 2123.56i | 0.553134 | − | 0.162415i | ||||
\(556\) | −3614.85 | + | 4171.76i | −0.275726 | + | 0.318205i | ||||
\(557\) | −7566.21 | − | 4862.51i | −0.575567 | − | 0.369894i | 0.220239 | − | 0.975446i | \(-0.429316\pi\) |
−0.795806 | + | 0.605552i | \(0.792952\pi\) | |||||||
\(558\) | 1295.48 | + | 1495.07i | 0.0982835 | + | 0.113425i | ||||
\(559\) | −706.582 | − | 4914.38i | −0.0534619 | − | 0.371836i | ||||
\(560\) | −9391.40 | − | 2757.57i | −0.708677 | − | 0.208086i | ||||
\(561\) | 838.865 | − | 539.106i | 0.0631318 | − | 0.0405723i | ||||
\(562\) | −482.966 | + | 3359.10i | −0.0362503 | + | 0.252126i | ||||
\(563\) | 4986.66 | − | 10919.3i | 0.373291 | − | 0.817393i | −0.626003 | − | 0.779821i | \(-0.715310\pi\) |
0.999294 | − | 0.0375724i | \(-0.0119625\pi\) | |||||||
\(564\) | −234.216 | + | 512.862i | −0.0174863 | + | 0.0382897i | ||||
\(565\) | 3989.62 | − | 27748.4i | 0.297070 | − | 2.06617i | ||||
\(566\) | −1350.77 | + | 868.084i | −0.100313 | + | 0.0644669i | ||||
\(567\) | 11232.7 | + | 3298.23i | 0.831976 | + | 0.244290i | ||||
\(568\) | 339.617 | + | 2362.09i | 0.0250881 | + | 0.174491i | ||||
\(569\) | 6598.22 | + | 7614.75i | 0.486137 | + | 0.561031i | 0.944829 | − | 0.327564i | \(-0.106228\pi\) |
−0.458693 | + | 0.888595i | \(0.651682\pi\) | |||||||
\(570\) | 9205.73 | + | 5916.16i | 0.676466 | + | 0.434738i | ||||
\(571\) | −2007.71 | + | 2317.02i | −0.147145 | + | 0.169814i | −0.824537 | − | 0.565807i | \(-0.808565\pi\) |
0.677392 | + | 0.735622i | \(0.263110\pi\) | |||||||
\(572\) | −3882.06 | + | 1139.87i | −0.283771 | + | 0.0833227i | ||||
\(573\) | 1481.03 | + | 3243.01i | 0.107977 | + | 0.236438i | ||||
\(574\) | 2552.37 | 0.185599 | ||||||||
\(575\) | −29258.0 | − | 15078.6i | −2.12199 | − | 1.09360i | ||||
\(576\) | −591.873 | −0.0428149 | ||||||||
\(577\) | 3179.79 | + | 6962.77i | 0.229422 | + | 0.502364i | 0.988975 | − | 0.148081i | \(-0.0473096\pi\) |
−0.759553 | + | 0.650445i | \(0.774582\pi\) | |||||||
\(578\) | −9296.46 | + | 2729.69i | −0.669000 | + | 0.196436i | ||||
\(579\) | 5874.21 | − | 6779.19i | 0.421630 | − | 0.486587i | ||||
\(580\) | 19402.8 | + | 12469.4i | 1.38906 | + | 0.892696i | ||||
\(581\) | −9637.25 | − | 11122.0i | −0.688159 | − | 0.794178i | ||||
\(582\) | −262.028 | − | 1822.45i | −0.0186623 | − | 0.129799i | ||||
\(583\) | 12491.2 | + | 3667.74i | 0.887361 | + | 0.260553i | ||||
\(584\) | 5723.89 | − | 3678.52i | 0.405576 | − | 0.260648i | ||||
\(585\) | 958.170 | − | 6664.22i | 0.0677187 | − | 0.470994i | ||||
\(586\) | 5057.74 | − | 11074.9i | 0.356542 | − | 0.780718i | ||||
\(587\) | −9841.59 | + | 21550.1i | −0.692003 | + | 1.51528i | 0.157402 | + | 0.987535i | \(0.449688\pi\) |
−0.849405 | + | 0.527741i | \(0.823039\pi\) | |||||||
\(588\) | 1297.24 | − | 9022.50i | 0.0909818 | − | 0.632792i | ||||
\(589\) | −5678.49 | + | 3649.34i | −0.397246 | + | 0.255295i | ||||
\(590\) | −30860.9 | − | 9061.59i | −2.15343 | − | 0.632305i | ||||
\(591\) | 457.534 | + | 3182.22i | 0.0318451 | + | 0.221487i | ||||
\(592\) | −910.955 | − | 1051.30i | −0.0632433 | − | 0.0729866i | ||||
\(593\) | 1383.89 | + | 889.372i | 0.0958340 | + | 0.0615888i | 0.587680 | − | 0.809093i | \(-0.300041\pi\) |
−0.491846 | + | 0.870682i | \(0.663678\pi\) | |||||||
\(594\) | 5718.47 | − | 6599.46i | 0.395002 | − | 0.455857i | ||||
\(595\) | 4859.14 | − | 1426.77i | 0.334799 | − | 0.0983058i | ||||
\(596\) | 2677.26 | + | 5862.37i | 0.184001 | + | 0.402906i | ||||
\(597\) | 15555.0 | 1.06637 | ||||||||
\(598\) | −4526.65 | + | 6358.62i | −0.309546 | + | 0.434821i | ||||
\(599\) | 936.389 | 0.0638728 | 0.0319364 | − | 0.999490i | \(-0.489833\pi\) | ||||
0.0319364 | + | 0.999490i | \(0.489833\pi\) | |||||||
\(600\) | 4178.28 | + | 9149.15i | 0.284296 | + | 0.622521i | ||||
\(601\) | 5721.66 | − | 1680.03i | 0.388338 | − | 0.114026i | −0.0817343 | − | 0.996654i | \(-0.526046\pi\) |
0.470073 | + | 0.882628i | \(0.344228\pi\) | |||||||
\(602\) | 5464.07 | − | 6305.87i | 0.369932 | − | 0.426924i | ||||
\(603\) | 354.430 | + | 227.778i | 0.0239361 | + | 0.0153828i | ||||
\(604\) | −1498.99 | − | 1729.93i | −0.100982 | − | 0.116539i | ||||
\(605\) | 1504.28 | + | 10462.5i | 0.101087 | + | 0.703077i | ||||
\(606\) | −2644.89 | − | 776.611i | −0.177296 | − | 0.0520589i | ||||
\(607\) | −6020.92 | + | 3869.41i | −0.402606 | + | 0.258739i | −0.726237 | − | 0.687444i | \(-0.758733\pi\) |
0.323632 | + | 0.946183i | \(0.395096\pi\) | |||||||
\(608\) | 287.410 | − | 1998.98i | 0.0191711 | − | 0.133338i | ||||
\(609\) | −14581.4 | + | 31928.7i | −0.970225 | + | 2.12450i | ||||
\(610\) | −3324.32 | + | 7279.24i | −0.220652 | + | 0.483160i | ||||
\(611\) | −168.449 | + | 1171.59i | −0.0111534 | + | 0.0775736i | ||||
\(612\) | 257.623 | − | 165.564i | 0.0170160 | − | 0.0109355i | ||||
\(613\) | −5818.08 | − | 1708.34i | −0.383345 | − | 0.112560i | 0.0843817 | − | 0.996434i | \(-0.473108\pi\) |
−0.467726 | + | 0.883873i | \(0.654927\pi\) | |||||||
\(614\) | 1554.80 | + | 10813.9i | 0.102193 | + | 0.710769i | ||||
\(615\) | −2437.08 | − | 2812.54i | −0.159793 | − | 0.184411i | ||||
\(616\) | −5720.08 | − | 3676.07i | −0.374137 | − | 0.240443i | ||||
\(617\) | −4176.71 | + | 4820.18i | −0.272525 | + | 0.314511i | −0.875470 | − | 0.483272i | \(-0.839448\pi\) |
0.602945 | + | 0.797783i | \(0.293994\pi\) | |||||||
\(618\) | 2316.45 | − | 680.170i | 0.150778 | − | 0.0442726i | ||||
\(619\) | 1527.65 | + | 3345.09i | 0.0991946 | + | 0.217206i | 0.952723 | − | 0.303841i | \(-0.0982691\pi\) |
−0.853528 | + | 0.521047i | \(0.825542\pi\) | |||||||
\(620\) | −8803.21 | −0.570234 | ||||||||
\(621\) | 799.290 | − | 16827.1i | 0.0516496 | − | 1.08736i | ||||
\(622\) | −8042.14 | −0.518425 | ||||||||
\(623\) | −18173.2 | − | 39793.7i | −1.16869 | − | 2.55907i | ||||
\(624\) | 2288.51 | − | 671.967i | 0.146817 | − | 0.0431093i | ||||
\(625\) | −23652.6 | + | 27296.6i | −1.51377 | + | 1.74698i | ||||
\(626\) | 10411.8 | + | 6691.24i | 0.664758 | + | 0.427214i | ||||
\(627\) | 4978.14 | + | 5745.07i | 0.317077 | + | 0.365927i | ||||
\(628\) | −2036.60 | − | 14164.9i | −0.129410 | − | 0.900063i | ||||
\(629\) | 690.588 | + | 202.775i | 0.0437767 | + | 0.0128540i | ||||
\(630\) | 9518.62 | − | 6117.25i | 0.601954 | − | 0.386852i | ||||
\(631\) | −1525.40 | + | 10609.4i | −0.0962367 | + | 0.669341i | 0.883408 | + | 0.468604i | \(0.155243\pi\) |
−0.979645 | + | 0.200737i | \(0.935666\pi\) | |||||||
\(632\) | 568.686 | − | 1245.25i | 0.0357929 | − | 0.0783755i | ||||
\(633\) | −7972.11 | + | 17456.5i | −0.500573 | + | 1.09610i | ||||
\(634\) | 118.852 | − | 826.636i | 0.00744516 | − | 0.0517822i | ||||
\(635\) | −16999.2 | + | 10924.7i | −1.06235 | + | 0.682733i | ||||
\(636\) | −7363.66 | − | 2162.17i | −0.459101 | − | 0.134804i | ||||
\(637\) | −2723.35 | − | 18941.3i | −0.169393 | − | 1.17815i | ||||
\(638\) | 10492.3 | + | 12108.8i | 0.651090 | + | 0.751398i | ||||
\(639\) | −2320.73 | − | 1491.44i | −0.143672 | − | 0.0923327i | ||||
\(640\) | 1724.79 | − | 1990.51i | 0.106528 | − | 0.122940i | ||||
\(641\) | 23863.2 | − | 7006.87i | 1.47042 | − | 0.431755i | 0.554186 | − | 0.832393i | \(-0.313030\pi\) |
0.916236 | + | 0.400638i | \(0.131212\pi\) | |||||||
\(642\) | −1087.10 | − | 2380.42i | −0.0668295 | − | 0.146336i | ||||
\(643\) | 12068.5 | 0.740180 | 0.370090 | − | 0.928996i | \(-0.379327\pi\) | ||||
0.370090 | + | 0.928996i | \(0.379327\pi\) | |||||||
\(644\) | −13057.7 | + | 1248.65i | −0.798985 | + | 0.0764031i | ||||
\(645\) | −12165.9 | −0.742686 | ||||||||
\(646\) | 434.073 | + | 950.487i | 0.0264371 | + | 0.0578892i | ||||
\(647\) | 13224.6 | − | 3883.08i | 0.803572 | − | 0.235950i | 0.145944 | − | 0.989293i | \(-0.453378\pi\) |
0.657628 | + | 0.753343i | \(0.271560\pi\) | |||||||
\(648\) | −2062.96 | + | 2380.78i | −0.125063 | + | 0.144330i | ||||
\(649\) | −18796.7 | − | 12079.9i | −1.13688 | − | 0.730626i | ||||
\(650\) | 13827.6 | + | 15957.9i | 0.834407 | + | 0.962957i | ||||
\(651\) | −1906.65 | − | 13261.0i | −0.114789 | − | 0.798372i | ||||
\(652\) | 8262.50 | + | 2426.09i | 0.496295 | + | 0.145725i | ||||
\(653\) | −14559.6 | + | 9356.85i | −0.872526 | + | 0.560738i | −0.898524 | − | 0.438924i | \(-0.855360\pi\) |
0.0259987 | + | 0.999662i | \(0.491723\pi\) | |||||||
\(654\) | 1754.74 | − | 12204.5i | 0.104917 | − | 0.729715i | ||||
\(655\) | 17253.3 | − | 37779.5i | 1.02923 | − | 2.25369i | ||||
\(656\) | −285.314 | + | 624.751i | −0.0169812 | + | 0.0371836i | ||||
\(657\) | −1119.37 | + | 7785.38i | −0.0664699 | + | 0.462308i | ||||
\(658\) | −1673.40 | + | 1075.43i | −0.0991430 | + | 0.0637153i | ||||
\(659\) | −5163.43 | − | 1516.12i | −0.305218 | − | 0.0896200i | 0.125537 | − | 0.992089i | \(-0.459935\pi\) |
−0.430755 | + | 0.902469i | \(0.641753\pi\) | |||||||
\(660\) | 1410.92 | + | 9813.18i | 0.0832122 | + | 0.578754i | ||||
\(661\) | 10705.1 | + | 12354.3i | 0.629922 | + | 0.726969i | 0.977559 | − | 0.210660i | \(-0.0675613\pi\) |
−0.347637 | + | 0.937629i | \(0.613016\pi\) | |||||||
\(662\) | −13056.7 | − | 8391.03i | −0.766560 | − | 0.492638i | ||||
\(663\) | −808.144 | + | 932.648i | −0.0473389 | + | 0.0546320i | ||||
\(664\) | 3799.65 | − | 1115.68i | 0.222071 | − | 0.0652059i | ||||
\(665\) | 16038.1 | + | 35118.5i | 0.935233 | + | 2.04787i | ||||
\(666\) | 1608.08 | 0.0935611 | ||||||||
\(667\) | 30351.7 | + | 5845.55i | 1.76195 | + | 0.339341i | ||||
\(668\) | 6814.85 | 0.394722 | ||||||||
\(669\) | 2312.50 | + | 5063.66i | 0.133642 | + | 0.292634i | ||||
\(670\) | −1798.88 | + | 528.200i | −0.103727 | + | 0.0304569i | ||||
\(671\) | −3640.45 | + | 4201.31i | −0.209446 | + | 0.241713i | ||||
\(672\) | 3372.04 | + | 2167.08i | 0.193570 | + | 0.124400i | ||||
\(673\) | 4025.25 | + | 4645.39i | 0.230553 | + | 0.266072i | 0.859225 | − | 0.511599i | \(-0.170947\pi\) |
−0.628672 | + | 0.777671i | \(0.716401\pi\) | |||||||
\(674\) | 1177.36 | + | 8188.72i | 0.0672852 | + | 0.467979i | ||||
\(675\) | −43727.2 | − | 12839.5i | −2.49342 | − | 0.732134i | ||||
\(676\) | −3180.61 | + | 2044.06i | −0.180963 | + | 0.116298i | ||||
\(677\) | 2202.39 | − | 15318.0i | 0.125029 | − | 0.869598i | −0.826696 | − | 0.562648i | \(-0.809782\pi\) |
0.951726 | − | 0.306950i | \(-0.0993084\pi\) | |||||||
\(678\) | −4769.14 | + | 10443.0i | −0.270144 | + | 0.591534i | ||||
\(679\) | 2698.48 | − | 5908.85i | 0.152516 | − | 0.333963i | ||||
\(680\) | −193.939 | + | 1348.88i | −0.0109371 | + | 0.0760692i | ||||
\(681\) | 4129.90 | − | 2654.12i | 0.232391 | − | 0.149348i | ||||
\(682\) | −5867.72 | − | 1722.92i | −0.329452 | − | 0.0967359i | ||||
\(683\) | −201.570 | − | 1401.95i | −0.0112926 | − | 0.0785420i | 0.983396 | − | 0.181474i | \(-0.0580868\pi\) |
−0.994688 | + | 0.102932i | \(0.967178\pi\) | |||||||
\(684\) | 1528.83 | + | 1764.36i | 0.0854623 | + | 0.0986288i | ||||
\(685\) | −37050.6 | − | 23811.0i | −2.06662 | − | 1.32813i | ||||
\(686\) | 7704.32 | − | 8891.26i | 0.428793 | − | 0.494854i | ||||
\(687\) | 2039.91 | − | 598.971i | 0.113286 | − | 0.0332637i | ||||
\(688\) | 932.711 | + | 2042.35i | 0.0516850 | + | 0.113174i | ||||
\(689\) | −16111.5 | −0.890855 | ||||||||
\(690\) | 13843.8 | + | 13196.5i | 0.763806 | + | 0.728090i | ||||
\(691\) | −27869.6 | −1.53431 | −0.767157 | − | 0.641459i | \(-0.778329\pi\) | ||||
−0.767157 | + | 0.641459i | \(0.778329\pi\) | |||||||
\(692\) | −1764.72 | − | 3864.20i | −0.0969430 | − | 0.212276i | ||||
\(693\) | 7541.81 | − | 2214.47i | 0.413405 | − | 0.121387i | ||||
\(694\) | 15185.3 | − | 17524.7i | 0.830583 | − | 0.958544i | ||||
\(695\) | 23888.3 | + | 15352.1i | 1.30379 | + | 0.837895i | ||||
\(696\) | −6185.33 | − | 7138.25i | −0.336860 | − | 0.388757i | ||||
\(697\) | −50.5732 | − | 351.744i | −0.00274835 | − | 0.0191152i | ||||
\(698\) | 15338.9 | + | 4503.90i | 0.831784 | + | 0.244234i | ||||
\(699\) | 18049.0 | − | 11599.4i | 0.976645 | − | 0.627652i | ||||
\(700\) | −5050.15 | + | 35124.6i | −0.272682 | + | 1.89655i | ||||
\(701\) | −9365.48 | + | 20507.5i | −0.504607 | + | 1.10493i | 0.470338 | + | 0.882486i | \(0.344132\pi\) |
−0.974945 | + | 0.222448i | \(0.928595\pi\) | |||||||
\(702\) | −4489.39 | + | 9830.39i | −0.241369 | + | 0.528524i | ||||
\(703\) | −780.872 | + | 5431.08i | −0.0418935 | + | 0.291376i | ||||
\(704\) | 1539.22 | − | 989.194i | 0.0824026 | − | 0.0529569i | ||||
\(705\) | 2782.87 | + | 817.125i | 0.148665 | + | 0.0436521i | ||||
\(706\) | −1216.86 | − | 8463.45i | −0.0648685 | − | 0.451170i | ||||
\(707\) | −6368.75 | − | 7349.93i | −0.338786 | − | 0.390980i | ||||
\(708\) | 11080.8 | + | 7121.20i | 0.588195 | + | 0.378010i | ||||
\(709\) | −6909.28 | + | 7973.74i | −0.365985 | + | 0.422370i | −0.908636 | − | 0.417589i | \(-0.862875\pi\) |
0.542651 | + | 0.839958i | \(0.317421\pi\) | |||||||
\(710\) | 11778.7 | − | 3458.54i | 0.622602 | − | 0.182812i | ||||
\(711\) | 657.402 | + | 1439.51i | 0.0346758 | + | 0.0759294i | ||||
\(712\) | 11771.9 | 0.619622 | ||||||||
\(713\) | −10952.0 | + | 4386.23i | −0.575252 | + | 0.230387i | ||||
\(714\) | −2073.93 | −0.108704 | ||||||||
\(715\) | 8646.07 | + | 18932.3i | 0.452230 | + | 0.990246i | ||||
\(716\) | 8889.62 | − | 2610.23i | 0.463995 | − | 0.136241i | ||||
\(717\) | −108.148 | + | 124.809i | −0.00563299 | + | 0.00650082i | ||||
\(718\) | 1157.36 | + | 743.788i | 0.0601562 | + | 0.0386600i | ||||
\(719\) | 14855.5 | + | 17144.1i | 0.770537 | + | 0.889247i | 0.996388 | − | 0.0849149i | \(-0.0270618\pi\) |
−0.225851 | + | 0.974162i | \(0.572516\pi\) | |||||||
\(720\) | 433.306 | + | 3013.71i | 0.0224283 | + | 0.155992i | ||||
\(721\) | 8172.61 | + | 2399.70i | 0.422141 | + | 0.123952i | ||||
\(722\) | 4839.01 | − | 3109.84i | 0.249431 | − | 0.160300i | ||||
\(723\) | −2149.80 | + | 14952.2i | −0.110584 | + | 0.769127i | ||||
\(724\) | 3195.13 | − | 6996.36i | 0.164014 | − | 0.359141i | ||||
\(725\) | 34736.4 | − | 76062.0i | 1.77942 | − | 3.89638i | ||||
\(726\) | 616.037 | − | 4284.63i | 0.0314921 | − | 0.219032i | ||||
\(727\) | 13251.7 | − | 8516.33i | 0.676034 | − | 0.434461i | −0.157062 | − | 0.987589i | \(-0.550202\pi\) |
0.833096 | + | 0.553128i | \(0.186566\pi\) | |||||||
\(728\) | 8074.05 | + | 2370.75i | 0.411050 | + | 0.120695i | ||||
\(729\) | −2990.81 | − | 20801.6i | −0.151949 | − | 1.05683i | ||||
\(730\) | −22920.8 | − | 26452.0i | −1.16211 | − | 1.34114i | ||||
\(731\) | −977.284 | − | 628.062i | −0.0494475 | − | 0.0317780i | ||||
\(732\) | 2146.08 | − | 2476.71i | 0.108363 | − | 0.125057i | ||||
\(733\) | −5127.98 | + | 1505.71i | −0.258399 | + | 0.0758727i | −0.408366 | − | 0.912818i | \(-0.633901\pi\) |
0.149967 | + | 0.988691i | \(0.452083\pi\) | |||||||
\(734\) | −1499.93 | − | 3284.39i | −0.0754270 | − | 0.165162i | ||||
\(735\) | −46890.7 | −2.35318 | ||||||||
\(736\) | 1154.01 | − | 3335.76i | 0.0577954 | − | 0.167062i | ||||
\(737\) | −1302.41 | −0.0650948 | ||||||||
\(738\) | −329.824 | − | 722.214i | −0.0164512 | − | 0.0360231i | ||||
\(739\) | 4659.38 | − | 1368.12i | 0.231933 | − | 0.0681016i | −0.163701 | − | 0.986510i | \(-0.552343\pi\) |
0.395634 | + | 0.918408i | \(0.370525\pi\) | |||||||
\(740\) | −4686.12 | + | 5408.07i | −0.232791 | + | 0.268655i | ||||
\(741\) | −7914.42 | − | 5086.29i | −0.392366 | − | 0.252159i | ||||
\(742\) | −17731.3 | − | 20463.0i | −0.877271 | − | 1.01242i | ||||
\(743\) | −2633.30 | − | 18315.0i | −0.130022 | − | 0.904325i | −0.945520 | − | 0.325564i | \(-0.894446\pi\) |
0.815498 | − | 0.578760i | \(-0.196463\pi\) | |||||||
\(744\) | 3459.07 | + | 1015.68i | 0.170451 | + | 0.0500490i | ||||
\(745\) | 27890.2 | − | 17923.9i | 1.37157 | − | 0.881452i | ||||
\(746\) | 2937.92 | − | 20433.7i | 0.144189 | − | 1.00285i | ||||
\(747\) | −1901.70 | + | 4164.15i | −0.0931454 | + | 0.203960i | ||||
\(748\) | −393.264 | + | 861.128i | −0.0192235 | + | 0.0420935i | ||||
\(749\) | 1313.95 | − | 9138.70i | 0.0640995 | − | 0.445822i | ||||
\(750\) | 25293.6 | − | 16255.2i | 1.23146 | − | 0.791409i | ||||
\(751\) | 6638.03 | + | 1949.10i | 0.322537 | + | 0.0947054i | 0.438993 | − | 0.898490i | \(-0.355335\pi\) |
−0.116456 | + | 0.993196i | \(0.537153\pi\) | |||||||
\(752\) | −76.1766 | − | 529.820i | −0.00369398 | − | 0.0256922i | ||||
\(753\) | 9913.82 | + | 11441.2i | 0.479787 | + | 0.553704i | ||||
\(754\) | −16681.1 | − | 10720.3i | −0.805689 | − | 0.517785i | ||||
\(755\) | −7711.09 | + | 8899.07i | −0.371702 | + | 0.428967i | ||||
\(756\) | −17426.2 | + | 5116.78i | −0.838338 | + | 0.246158i | ||||
\(757\) | 8176.04 | + | 17903.0i | 0.392554 | + | 0.859573i | 0.997971 | + | 0.0636652i | \(0.0202790\pi\) |
−0.605417 | + | 0.795908i | \(0.706994\pi\) | |||||||
\(758\) | −14781.1 | −0.708275 | ||||||||
\(759\) | 6644.77 | + | 11505.5i | 0.317773 | + | 0.550227i | ||||
\(760\) | −10388.9 | −0.495847 | ||||||||
\(761\) | 1672.29 | + | 3661.81i | 0.0796590 | + | 0.174429i | 0.945271 | − | 0.326287i | \(-0.105797\pi\) |
−0.865612 | + | 0.500716i | \(0.833070\pi\) | |||||||
\(762\) | 7940.01 | − | 2331.40i | 0.377476 | − | 0.110837i | ||||
\(763\) | 28487.3 | − | 32876.1i | 1.35165 | − | 1.55989i | ||||
\(764\) | −2847.38 | − | 1829.90i | −0.134836 | − | 0.0866539i | ||||
\(765\) | −1031.63 | − | 1190.56i | −0.0487563 | − | 0.0562678i | ||||
\(766\) | 2261.75 | + | 15730.8i | 0.106684 | + | 0.742007i | ||||
\(767\) | 26532.0 | + | 7790.50i | 1.24904 | + | 0.366752i | ||||
\(768\) | −907.382 | + | 583.139i | −0.0426333 | + | 0.0273987i | ||||
\(769\) | 2095.96 | − | 14577.7i | 0.0982863 | − | 0.683596i | −0.879792 | − | 0.475359i | \(-0.842318\pi\) |
0.978078 | − | 0.208237i | \(-0.0667727\pi\) | |||||||
\(770\) | −14530.3 | + | 31816.9i | −0.680045 | + | 1.48909i | ||||
\(771\) | 2865.28 | − | 6274.09i | 0.133840 | − | 0.293069i | ||||
\(772\) | −1211.96 | + | 8429.34i | −0.0565016 | + | 0.392977i | ||||
\(773\) | 16472.5 | − | 10586.3i | 0.766463 | − | 0.492576i | −0.0980529 | − | 0.995181i | \(-0.531261\pi\) |
0.864516 | + | 0.502605i | \(0.167625\pi\) | |||||||
\(774\) | −2490.38 | − | 731.241i | −0.115652 | − | 0.0339585i | ||||
\(775\) | 4542.10 | + | 31591.0i | 0.210525 | + | 1.46423i | ||||
\(776\) | 1144.68 | + | 1321.03i | 0.0529531 | + | 0.0611111i | ||||
\(777\) | −9161.59 | − | 5887.79i | −0.422999 | − | 0.271845i | ||||
\(778\) | −16501.6 | + | 19043.9i | −0.760427 | + | 0.877580i | ||||
\(779\) | 2599.35 | − | 763.238i | 0.119552 | − | 0.0351038i | ||||
\(780\) | −5096.94 | − | 11160.7i | −0.233974 | − | 0.512332i | ||||
\(781\) | 8527.91 | 0.390720 | ||||||||
\(782\) | 430.806 | + | 1774.76i | 0.0197002 | + | 0.0811574i | ||||
\(783\) | 42796.5 | 1.95328 | ||||||||
\(784\) | 3594.92 | + | 7871.77i | 0.163763 | + | 0.358590i | ||||
\(785\) | −70634.0 | + | 20740.0i | −3.21151 | + | 0.942985i | ||||
\(786\) | −11138.2 | + | 12854.2i | −0.505455 | + | 0.583327i | ||||
\(787\) | 7199.90 | + | 4627.09i | 0.326110 | + | 0.209578i | 0.693443 | − | 0.720511i | \(-0.256093\pi\) |
−0.367333 | + | 0.930089i | \(0.619729\pi\) | |||||||
\(788\) | −1998.75 | − | 2306.68i | −0.0903586 | − | 0.104279i | ||||
\(789\) | 2830.69 | + | 19687.9i | 0.127725 | + | 0.888347i | ||||
\(790\) | −6756.91 | − | 1984.01i | −0.304304 | − | 0.0893517i | ||||
\(791\) | −34074.1 | + | 21898.1i | −1.53165 | + | 0.984331i | ||||
\(792\) | −301.010 | + | 2093.57i | −0.0135050 | + | 0.0939291i | ||||
\(793\) | 2858.01 | − | 6258.16i | 0.127983 | − | 0.280244i | ||||
\(794\) | 1878.91 | − | 4114.24i | 0.0839800 | − | 0.183890i | ||||
\(795\) | −5618.48 | + | 39077.4i | −0.250650 | + | 1.74331i | ||||
\(796\) | −12423.2 | + | 7983.91i | −0.553177 | + | 0.355505i | ||||
\(797\) | 5351.92 | + | 1571.47i | 0.237860 | + | 0.0698421i | 0.398490 | − | 0.917173i | \(-0.369534\pi\) |
−0.160630 | + | 0.987015i | \(0.551352\pi\) | |||||||
\(798\) | −2250.08 | − | 15649.6i | −0.0998144 | − | 0.694224i | ||||
\(799\) | 181.363 | + | 209.304i | 0.00803025 | + | 0.00926741i | ||||
\(800\) | −8033.02 | − | 5162.51i | −0.355013 | − | 0.228153i | ||||
\(801\) | −8911.56 | + | 10284.5i | −0.393102 | + | 0.453664i | ||||
\(802\) | −13231.4 | + | 3885.08i | −0.582564 | + | 0.171056i | ||||
\(803\) | −10100.7 | − | 22117.3i | −0.443891 | − | 0.971985i | ||||
\(804\) | 767.782 | 0.0336786 | ||||||||
\(805\) | 15917.4 | + | 65573.5i | 0.696911 | + | 2.87101i | ||||
\(806\) | 7568.36 | 0.330749 | ||||||||
\(807\) | −12860.4 | − | 28160.3i | −0.560975 | − | 1.22836i | ||||
\(808\) | 2510.99 | − | 737.293i | 0.109327 | − | 0.0321013i | ||||
\(809\) | 1738.33 | − | 2006.13i | 0.0755455 | − | 0.0871841i | −0.716719 | − | 0.697362i | \(-0.754357\pi\) |
0.792264 | + | 0.610178i | \(0.208902\pi\) | |||||||
\(810\) | 13632.8 | + | 8761.26i | 0.591367 | + | 0.380049i | ||||
\(811\) | 226.419 | + | 261.301i | 0.00980349 | + | 0.0113138i | 0.760630 | − | 0.649185i | \(-0.224890\pi\) |
−0.750827 | + | 0.660499i | \(0.770345\pi\) | |||||||
\(812\) | −4742.45 | − | 32984.5i | −0.204960 | − | 1.42553i | ||||
\(813\) | −24072.7 | − | 7068.39i | −1.03846 | − | 0.304919i | ||||
\(814\) | −4181.94 | + | 2687.57i | −0.180070 | + | 0.115724i | ||||
\(815\) | 6304.29 | − | 43847.3i | 0.270957 | − | 1.88455i | ||||
\(816\) | 231.833 | − | 507.643i | 0.00994579 | − | 0.0217782i | ||||
\(817\) | 3678.99 | − | 8055.86i | 0.157542 | − | 0.344968i | ||||
\(818\) | 2335.97 | − | 16247.0i | 0.0998474 | − | 0.694454i | ||||
\(819\) | −8183.42 | + | 5259.17i | −0.349148 | + | 0.224384i | ||||
\(820\) | 3390.00 | + | 995.394i | 0.144371 | + | 0.0423911i | ||||
\(821\) | 4093.80 | + | 28473.0i | 0.174025 | + | 1.21037i | 0.870273 | + | 0.492570i | \(0.163943\pi\) |
−0.696247 | + | 0.717802i | \(0.745148\pi\) | |||||||
\(822\) | 11811.2 | + | 13630.9i | 0.501172 | + | 0.578384i | ||||
\(823\) | 5091.13 | + | 3271.87i | 0.215633 | + | 0.138579i | 0.643999 | − | 0.765027i | \(-0.277274\pi\) |
−0.428366 | + | 0.903605i | \(0.640911\pi\) | |||||||
\(824\) | −1500.95 | + | 1732.19i | −0.0634563 | + | 0.0732325i | ||||
\(825\) | 34487.4 | − | 10126.4i | 1.45539 | − | 0.427341i | ||||
\(826\) | 19304.8 | + | 42271.6i | 0.813196 | + | 1.78065i | ||||
\(827\) | −23448.0 | −0.985935 | −0.492968 | − | 0.870048i | \(-0.664088\pi\) | ||||
−0.492968 | + | 0.870048i | \(0.664088\pi\) | |||||||
\(828\) | 2040.67 | + | 3533.43i | 0.0856498 | + | 0.148303i | ||||
\(829\) | −24260.2 | −1.01640 | −0.508198 | − | 0.861240i | \(-0.669688\pi\) | ||||
−0.508198 | + | 0.861240i | \(0.669688\pi\) | |||||||
\(830\) | −8462.54 | − | 18530.4i | −0.353902 | − | 0.774938i | ||||
\(831\) | −7070.79 | + | 2076.17i | −0.295166 | + | 0.0866686i | ||||
\(832\) | −1482.85 | + | 1711.30i | −0.0617890 | + | 0.0713083i | ||||
\(833\) | −3766.71 | − | 2420.72i | −0.156673 | − | 0.100688i | ||||
\(834\) | −7615.25 | − | 8788.47i | −0.316180 | − | 0.364892i | ||||
\(835\) | −4989.11 | − | 34700.0i | −0.206773 | − | 1.43814i | ||||
\(836\) | −6924.62 | − | 2033.25i | −0.286475 | − | 0.0841166i | ||||
\(837\) | −13741.7 | + | 8831.22i | −0.567480 | + | 0.364697i | ||||
\(838\) | −2866.65 | + | 19938.0i | −0.118170 | + | 0.821892i | ||||
\(839\) | −4446.37 | + | 9736.20i | −0.182963 | + | 0.400633i | −0.978783 | − | 0.204901i | \(-0.934313\pi\) |
0.795820 | + | 0.605533i | \(0.207040\pi\) | |||||||
\(840\) | 8565.73 | − | 18756.3i | 0.351840 | − | 0.770423i | ||||
\(841\) | −7704.17 | + | 53583.7i | −0.315887 | + | 2.19704i | ||||
\(842\) | 20890.3 | − | 13425.4i | 0.855020 | − | 0.549488i | ||||
\(843\) | −6859.64 | − | 2014.17i | −0.280259 | − | 0.0822915i | ||||
\(844\) | −2592.85 | − | 18033.7i | −0.105746 | − | 0.735480i | ||||
\(845\) | 12736.5 | + | 14698.7i | 0.518519 | + | 0.598403i | ||||
\(846\) | 520.543 | + | 334.533i | 0.0211544 | + | 0.0135951i | ||||
\(847\) | 10001.0 | − | 11541.8i | 0.405713 | − | 0.468218i | ||||
\(848\) | 6990.85 | − | 2052.70i | 0.283098 | − | 0.0831250i | ||||
\(849\) | −1405.17 | − | 3076.89i | −0.0568024 | − | 0.124380i | ||||
\(850\) | 4940.61 | 0.199367 | ||||||||
\(851\) | −3135.36 | + | 9063.01i | −0.126297 | + | 0.365072i | ||||
\(852\) | −5027.28 | −0.202150 | ||||||||
\(853\) | 7749.97 | + | 16970.1i | 0.311083 | + | 0.681177i | 0.999005 | − | 0.0446080i | \(-0.0142039\pi\) |
−0.687921 | + | 0.725785i | \(0.741477\pi\) | |||||||
\(854\) | 11093.7 | − | 3257.41i | 0.444520 | − | 0.130523i | ||||
\(855\) | 7864.58 | − | 9076.20i | 0.314576 | − | 0.363040i | ||||
\(856\) | 2090.03 | + | 1343.18i | 0.0834529 | + | 0.0536319i | ||||
\(857\) | −14119.5 | − | 16294.8i | −0.562791 | − | 0.649496i | 0.401024 | − | 0.916068i | \(-0.368655\pi\) |
−0.963815 | + | 0.266572i | \(0.914109\pi\) | |||||||
\(858\) | −1213.01 | − | 8436.66i | −0.0482651 | − | 0.335691i | ||||
\(859\) | 4036.61 | + | 1185.26i | 0.160334 | + | 0.0470784i | 0.360915 | − | 0.932599i | \(-0.382465\pi\) |
−0.200580 | + | 0.979677i | \(0.564283\pi\) | |||||||
\(860\) | 9716.46 | − | 6244.39i | 0.385266 | − | 0.247595i | ||||
\(861\) | −765.222 | + | 5322.24i | −0.0302888 | + | 0.210664i | ||||
\(862\) | −4215.57 | + | 9230.82i | −0.166570 | + | 0.364737i | ||||
\(863\) | −11983.3 | + | 26239.7i | −0.472671 | + | 1.03501i | 0.511743 | + | 0.859139i | \(0.329000\pi\) |
−0.984414 | + | 0.175867i | \(0.943727\pi\) | |||||||
\(864\) | 695.517 | − | 4837.43i | 0.0273865 | − | 0.190478i | ||||
\(865\) | −18383.9 | + | 11814.6i | −0.722625 | + | 0.464403i | ||||
\(866\) | 6635.30 | + | 1948.30i | 0.260365 | + | 0.0764502i | ||||
\(867\) | −2904.82 | − | 20203.5i | −0.113787 | − | 0.791403i | ||||
\(868\) | 8329.25 | + | 9612.46i | 0.325706 | + | 0.375885i | ||||
\(869\) | −4115.47 | − | 2644.85i | −0.160653 | − | 0.103246i | ||||
\(870\) | −31818.5 | + | 36720.5i | −1.23994 | + | 1.43097i | ||||
\(871\) | 1546.55 | − | 454.108i | 0.0601640 | − | 0.0176657i | ||||
\(872\) | 4862.75 | + | 10647.9i | 0.188846 | + | 0.413515i | ||||
\(873\) | −2020.66 | −0.0783379 | ||||||||
\(874\) | −12924.7 | + | 5176.29i | −0.500210 | + | 0.200333i | ||||
\(875\) | 106077. | 4.09837 | ||||||||
\(876\) | 5954.43 | + | 13038.4i | 0.229659 | + | 0.502884i | ||||
\(877\) | 4985.87 | − | 1463.98i | 0.191974 | − | 0.0563685i | −0.184332 | − | 0.982864i | \(-0.559012\pi\) |
0.376306 | + | 0.926495i | \(0.377194\pi\) | |||||||
\(878\) | −17113.8 | + | 19750.4i | −0.657816 | + | 0.759160i | ||||
\(879\) | 21577.2 | + | 13866.8i | 0.827965 | + | 0.532101i | ||||
\(880\) | −6163.65 | − | 7113.24i | −0.236110 | − | 0.272485i | ||||
\(881\) | −5312.91 | − | 36952.1i | −0.203174 | − | 1.41311i | −0.794788 | − | 0.606887i | \(-0.792418\pi\) |
0.591614 | − | 0.806221i | \(-0.298491\pi\) | |||||||
\(882\) | −9598.58 | − | 2818.40i | −0.366441 | − | 0.107597i | ||||
\(883\) | −14077.2 | + | 9046.89i | −0.536508 | + | 0.344793i | −0.780672 | − | 0.624941i | \(-0.785123\pi\) |
0.244164 | + | 0.969734i | \(0.421487\pi\) | |||||||
\(884\) | 166.735 | − | 1159.67i | 0.00634378 | − | 0.0441220i | ||||
\(885\) | 28147.7 | − | 61634.9i | 1.06912 | − | 2.34105i | ||||
\(886\) | −7535.90 | + | 16501.3i | −0.285749 | + | 0.625703i | ||||
\(887\) | 4514.49 | − | 31399.0i | 0.170893 | − | 1.18858i | −0.706112 | − | 0.708101i | \(-0.749552\pi\) |
0.877004 | − | 0.480483i | \(-0.159539\pi\) | |||||||
\(888\) | 2465.29 | − | 1584.35i | 0.0931642 | − | 0.0598730i | ||||
\(889\) | 28013.0 | + | 8225.37i | 1.05684 | + | 0.310315i | ||||
\(890\) | −8618.13 | − | 59940.4i | −0.324585 | − | 2.25754i | ||||
\(891\) | 7372.13 | + | 8507.89i | 0.277189 | + | 0.319894i | ||||
\(892\) | −4445.93 | − | 2857.22i | −0.166884 | − | 0.107250i | ||||
\(893\) | −1382.62 | + | 1595.63i | −0.0518113 | + | 0.0597935i | ||||
\(894\) | −13027.0 | + | 3825.06i | −0.487345 | + | 0.143097i | ||||
\(895\) | −19798.9 | − | 43353.4i | −0.739444 | − | 1.61916i | ||||
\(896\) | −3805.42 | −0.141886 | ||||||||
\(897\) | −11901.9 | − | 11345.4i | −0.443026 | − | 0.422310i | ||||
\(898\) | 9153.05 | 0.340135 | ||||||||
\(899\) | −12450.5 | − | 27262.8i | −0.461899 | − | 1.01142i | ||||
\(900\) | 10591.4 | − | 3109.91i | 0.392273 | − | 0.115182i | ||||
\(901\) | −2468.69 | + | 2849.02i | −0.0912808 | + | 0.105344i | ||||
\(902\) | 2064.77 | + | 1326.95i | 0.0762187 | + | 0.0489828i | ||||
\(903\) | 11510.9 | + | 13284.3i | 0.424207 | + | 0.489561i | ||||
\(904\) | −1551.12 | − | 10788.3i | −0.0570679 | − | 0.396916i | ||||
\(905\) | −37963.4 | − | 11147.1i | −1.39442 | − | 0.409437i | ||||
\(906\) | 4056.68 | − | 2607.07i | 0.148757 | − | 0.0956005i | ||||
\(907\) | −6979.47 | + | 48543.3i | −0.255512 | + | 1.77713i | 0.308365 | + | 0.951268i | \(0.400218\pi\) |
−0.563877 | + | 0.825859i | \(0.690691\pi\) | |||||||
\(908\) | −1936.11 | + | 4239.50i | −0.0707624 | + | 0.154948i | ||||
\(909\) | −1256.74 | + | 2751.87i | −0.0458562 | + | 0.100411i | ||||
\(910\) | 6160.50 | − | 42847.2i | 0.224416 | − | 1.56085i | ||||
\(911\) | 36349.3 | − | 23360.3i | 1.32196 | − | 0.849572i | 0.326541 | − | 0.945183i | \(-0.394117\pi\) |
0.995419 | + | 0.0956109i | \(0.0304805\pi\) | |||||||
\(912\) | 4082.13 | + | 1198.62i | 0.148216 | + | 0.0435201i | ||||
\(913\) | −2013.98 | − | 14007.5i | −0.0730044 | − | 0.507756i | ||||
\(914\) | 22766.1 | + | 26273.5i | 0.823891 | + | 0.950820i | ||||
\(915\) | −14182.1 | − | 9114.28i | −0.512400 | − | 0.329299i | ||||
\(916\) | −1321.76 | + | 1525.40i | −0.0476772 | + | 0.0550225i | ||||
\(917\) | −57576.9 | + | 16906.1i | −2.07345 | + | 0.608821i | ||||
\(918\) | 1050.43 | + | 2300.13i | 0.0377663 | + | 0.0826967i | ||||
\(919\) | 21740.0 | 0.780343 | 0.390171 | − | 0.920742i | \(-0.372416\pi\) | ||||
0.390171 | + | 0.920742i | \(0.372416\pi\) | |||||||
\(920\) | −17829.9 | − | 3433.93i | −0.638951 | − | 0.123058i | ||||
\(921\) | −23015.4 | −0.823433 | ||||||||
\(922\) | 5155.93 | + | 11289.9i | 0.184167 | + | 0.403268i | ||||
\(923\) | −10126.5 | + | 2973.40i | −0.361124 | + | 0.106036i | ||||
\(924\) | 9380.32 | − | 10825.5i | 0.333972 | − | 0.385424i | ||||
\(925\) | 21825.1 | + | 14026.2i | 0.775790 | + | 0.498570i | ||||
\(926\) | −1456.97 | − | 1681.43i | −0.0517052 | − | 0.0596710i | ||||
\(927\) | −377.073 | − | 2622.60i | −0.0133600 | − | 0.0929207i | ||||
\(928\) | 8603.84 | + | 2526.31i | 0.304348 | + | 0.0893646i | ||||
\(929\) | 15716.5 | − | 10100.4i | 0.555051 | − | 0.356710i | −0.232849 | − | 0.972513i | \(-0.574805\pi\) |
0.787900 | + | 0.615803i | \(0.211168\pi\) | |||||||
\(930\) | 2639.27 | − | 18356.6i | 0.0930594 | − | 0.647242i | ||||
\(931\) | 14179.8 | − | 31049.4i | 0.499167 | − | 1.09302i | ||||
\(932\) | −8461.44 | + | 18528.0i | −0.297386 | + | 0.651185i | ||||
\(933\) | 2411.10 | − | 16769.6i | 0.0846044 | − | 0.588436i | ||||
\(934\) | 22491.2 | − | 14454.2i | 0.787938 | − | 0.506377i | ||||
\(935\) | 4672.62 | + | 1372.00i | 0.163434 | + | 0.0479886i | ||||
\(936\) | −372.525 | − | 2590.97i | −0.0130089 | − | 0.0904792i | ||||
\(937\) | −29586.0 | − | 34144.1i | −1.03152 | − | 1.19044i | −0.981456 | − | 0.191689i | \(-0.938603\pi\) |
−0.0500622 | − | 0.998746i | \(-0.515942\pi\) | |||||||
\(938\) | 2278.79 | + | 1464.49i | 0.0793231 | + | 0.0509778i | ||||
\(939\) | −17074.2 | + | 19704.7i | −0.593392 | + | 0.684811i | ||||
\(940\) | −2641.98 | + | 775.756i | −0.0916723 | + | 0.0269174i | ||||
\(941\) | 349.692 | + | 765.718i | 0.0121144 | + | 0.0265268i | 0.915592 | − | 0.402107i | \(-0.131722\pi\) |
−0.903478 | + | 0.428634i | \(0.858995\pi\) | |||||||
\(942\) | 30147.3 | 1.04273 | ||||||||
\(943\) | 4713.43 | − | 450.722i | 0.162768 | − | 0.0155647i | ||||
\(944\) | −12504.9 | −0.431144 | ||||||||
\(945\) | 38811.3 | + | 84985.0i | 1.33601 | + | 2.92546i | ||||
\(946\) | 7698.56 | − | 2260.50i | 0.264590 | − | 0.0776905i | ||||
\(947\) | 33.8001 | − | 39.0074i | 0.00115983 | − | 0.00133851i | −0.755169 | − | 0.655530i | \(-0.772445\pi\) |
0.756329 | + | 0.654191i | \(0.226991\pi\) | |||||||
\(948\) | 2426.11 | + | 1559.17i | 0.0831185 | + | 0.0534170i | ||||
\(949\) | 19705.6 | + | 22741.5i | 0.674049 | + | 0.777894i | ||||
\(950\) | 5360.23 | + | 37281.2i | 0.183062 | + | 1.27322i | ||||
\(951\) | 1688.08 | + | 495.665i | 0.0575602 | + | 0.0169012i | ||||
\(952\) | 1656.37 | − | 1064.49i | 0.0563901 | − | 0.0362397i | ||||
\(953\) | 3874.91 | − | 26950.6i | 0.131711 | − | 0.916070i | −0.811613 | − | 0.584196i | \(-0.801410\pi\) |
0.943324 | − | 0.331874i | \(-0.107681\pi\) | |||||||
\(954\) | −3498.88 | + | 7661.48i | −0.118743 | + | 0.260010i | ||||
\(955\) | −7232.99 | + | 15838.0i | −0.245083 | + | 0.536656i | ||||
\(956\) | 22.3129 | − | 155.189i | 0.000754864 | − | 0.00525019i | ||||
\(957\) | −28395.1 | + | 18248.4i | −0.959126 | + | 0.616393i | ||||
\(958\) | 31851.6 | + | 9352.46i | 1.07419 | + | 0.315412i | ||||
\(959\) | 9055.97 | + | 62985.6i | 0.304935 | + | 2.12087i | ||||
\(960\) | 3633.53 | + | 4193.32i | 0.122158 | + | 0.140978i | ||||
\(961\) | −15438.2 | − | 9921.54i | −0.518218 | − | 0.333038i | ||||
\(962\) | 4028.79 | − | 4649.47i | 0.135024 | − | 0.155826i | ||||
\(963\) | −2755.66 | + | 809.134i | −0.0922117 | + | 0.0270758i | ||||
\(964\) | −5957.54 | − | 13045.2i | −0.199045 | − | 0.435848i | ||||
\(965\) | 43808.0 | 1.46138 | ||||||||
\(966\) | 1311.12 | − | 27602.5i | 0.0436694 | − | 0.919353i | ||||
\(967\) | −51178.6 | −1.70196 | −0.850979 | − | 0.525199i | \(-0.823991\pi\) | ||||
−0.850979 | + | 0.525199i | \(0.823991\pi\) | |||||||
\(968\) | 1707.16 | + | 3738.17i | 0.0566842 | + | 0.124121i | ||||
\(969\) | −2112.11 | + | 620.170i | −0.0700213 | + | 0.0205601i | ||||
\(970\) | 5888.44 | − | 6795.62i | 0.194914 | − | 0.224943i | ||||
\(971\) | −32816.2 | − | 21089.7i | −1.08457 | − | 0.697013i | −0.128964 | − | 0.991649i | \(-0.541165\pi\) |
−0.955609 | + | 0.294636i | \(0.904801\pi\) | |||||||
\(972\) | 6455.47 | + | 7450.01i | 0.213024 | + | 0.245843i | ||||
\(973\) | −5838.81 | − | 40609.8i | −0.192378 | − | 1.33802i | ||||
\(974\) | 23046.0 | + | 6766.90i | 0.758152 | + | 0.222614i | ||||
\(975\) | −37421.4 | + | 24049.2i | −1.22917 | + | 0.789941i | ||||
\(976\) | −442.776 | + | 3079.57i | −0.0145214 | + | 0.100999i | ||||
\(977\) | 9762.78 | − | 21377.5i | 0.319692 | − | 0.700028i | −0.679750 | − | 0.733444i | \(-0.737912\pi\) |
0.999442 | + | 0.0334165i | \(0.0106388\pi\) | |||||||
\(978\) | −7536.08 | + | 16501.7i | −0.246398 | + | 0.539536i | ||||
\(979\) | 5986.87 | − | 41639.6i | 0.195445 | − | 1.35935i | ||||
\(980\) | 37449.8 | − | 24067.6i | 1.22071 | − | 0.784500i | ||||
\(981\) | −12983.7 | − | 3812.37i | −0.422568 | − | 0.124077i | ||||
\(982\) | 1843.84 | + | 12824.2i | 0.0599179 | + | 0.416738i | ||||
\(983\) | 30611.9 | + | 35328.0i | 0.993253 | + | 1.14627i | 0.989243 | + | 0.146283i | \(0.0467310\pi\) |
0.00401011 | + | 0.999992i | \(0.498724\pi\) | |||||||
\(984\) | −1217.20 | − | 782.247i | −0.0394339 | − | 0.0253426i | ||||
\(985\) | −10281.9 | + | 11866.0i | −0.332599 | + | 0.383840i | ||||
\(986\) | −4451.65 | + | 1307.12i | −0.143782 | + | 0.0422183i | ||||
\(987\) | −1740.80 | − | 3811.83i | −0.0561402 | − | 0.122930i | ||||
\(988\) | 8931.59 | 0.287603 | ||||||||
\(989\) | 8976.86 | − | 12609.9i | 0.288622 | − | 0.405430i | ||||
\(990\) | 10880.5 | 0.349297 | ||||||||
\(991\) | −11518.7 | − | 25222.4i | −0.369226 | − | 0.808491i | −0.999484 | − | 0.0321063i | \(-0.989779\pi\) |
0.630259 | − | 0.776385i | \(-0.282949\pi\) | |||||||
\(992\) | −3283.95 | + | 964.254i | −0.105106 | + | 0.0308620i | ||||
\(993\) | 21411.6 | − | 24710.3i | 0.684266 | − | 0.789685i | ||||
\(994\) | −14921.0 | − | 9589.16i | −0.476123 | − | 0.305986i | ||||
\(995\) | 49747.6 | + | 57411.8i | 1.58503 | + | 1.82922i | ||||
\(996\) | 1187.26 | + | 8257.57i | 0.0377708 | + | 0.262702i | ||||
\(997\) | −51182.7 | − | 15028.6i | −1.62585 | − | 0.477392i | −0.663267 | − | 0.748383i | \(-0.730830\pi\) |
−0.962582 | + | 0.270991i | \(0.912649\pi\) | |||||||
\(998\) | −32033.9 | + | 20586.9i | −1.01605 | + | 0.652973i | ||||
\(999\) | −1889.67 | + | 13142.9i | −0.0598464 | + | 0.416241i |
(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 | 46.4.c.b.27.3 | ✓ | 30 | |
23.6 | even | 11 | inner | 46.4.c.b.29.3 | yes | 30 | |
23.11 | odd | 22 | 1058.4.a.t.1.5 | 15 | |||
23.12 | even | 11 | 1058.4.a.u.1.5 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
46.4.c.b.27.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
46.4.c.b.29.3 | yes | 30 | 23.6 | even | 11 | inner | |
1058.4.a.t.1.5 | 15 | 23.11 | odd | 22 | |||
1058.4.a.u.1.5 | 15 | 23.12 | even | 11 |