Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(37,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.be (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: | \(7.42608738798\) |
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 | 37.13 | ||
Character | \(\chi\) | \(=\) | 930.37 |
Dual form | 930.2.be.a.553.13 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.258819 | − | 0.965926i | 0.149429 | − | 0.557678i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 0.795067 | + | 2.08994i | 0.355565 | + | 0.934652i | ||||
\(6\) | 0.866025 | − | 0.500000i | 0.353553 | − | 0.204124i | ||||
\(7\) | −0.0433914 | + | 0.161939i | −0.0164004 | + | 0.0612071i | −0.973641 | − | 0.228086i | \(-0.926753\pi\) |
0.957241 | + | 0.289293i | \(0.0934201\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −0.915617 | + | 2.04001i | −0.289543 | + | 0.645108i | ||||
\(11\) | 3.10212 | + | 1.79101i | 0.935324 | + | 0.540010i | 0.888492 | − | 0.458893i | \(-0.151754\pi\) |
0.0468328 | + | 0.998903i | \(0.485087\pi\) | |||||||
\(12\) | 0.965926 | + | 0.258819i | 0.278839 | + | 0.0747146i | ||||
\(13\) | −5.07586 | + | 1.36007i | −1.40779 | + | 0.377216i | −0.881136 | − | 0.472863i | \(-0.843220\pi\) |
−0.526654 | + | 0.850079i | \(0.676554\pi\) | |||||||
\(14\) | −0.145190 | + | 0.0838257i | −0.0388038 | + | 0.0224034i | ||||
\(15\) | 2.22451 | − | 0.227058i | 0.574366 | − | 0.0586262i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 7.84096 | + | 2.10098i | 1.90171 | + | 0.509562i | 0.996396 | + | 0.0848223i | \(0.0270323\pi\) |
0.905315 | + | 0.424740i | \(0.139634\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | −1.88392 | + | 1.08768i | −0.432201 | + | 0.249531i | −0.700284 | − | 0.713865i | \(-0.746943\pi\) |
0.268083 | + | 0.963396i | \(0.413610\pi\) | |||||||
\(20\) | −2.08994 | + | 0.795067i | −0.467326 | + | 0.177782i | ||||
\(21\) | 0.145190 | + | 0.0838257i | 0.0316831 | + | 0.0182923i | ||||
\(22\) | 0.927095 | + | 3.45997i | 0.197657 | + | 0.737667i | ||||
\(23\) | −1.44181 | − | 1.44181i | −0.300638 | − | 0.300638i | 0.540626 | − | 0.841263i | \(-0.318188\pi\) |
−0.841263 | + | 0.540626i | \(0.818188\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | −3.73574 | + | 3.32329i | −0.747147 | + | 0.664658i | ||||
\(26\) | −4.55089 | − | 2.62746i | −0.892503 | − | 0.515287i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | −0.161939 | − | 0.0433914i | −0.0306036 | − | 0.00820020i | ||||
\(29\) | −4.55001 | −0.844916 | −0.422458 | − | 0.906382i | \(-0.638833\pi\) | ||||
−0.422458 | + | 0.906382i | \(0.638833\pi\) | |||||||
\(30\) | 1.73352 | + | 1.41241i | 0.316496 | + | 0.257870i | ||||
\(31\) | 4.42824 | + | 3.37501i | 0.795335 | + | 0.606170i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 2.53287 | − | 2.53287i | 0.440916 | − | 0.440916i | ||||
\(34\) | 4.05878 | + | 7.03001i | 0.696075 | + | 1.20564i | ||||
\(35\) | −0.372942 | + | 0.0380667i | −0.0630387 | + | 0.00643444i | ||||
\(36\) | 0.500000 | − | 0.866025i | 0.0833333 | − | 0.144338i | ||||
\(37\) | 8.44619 | + | 2.26315i | 1.38855 | + | 0.372060i | 0.874218 | − | 0.485534i | \(-0.161375\pi\) |
0.514328 | + | 0.857594i | \(0.328042\pi\) | |||||||
\(38\) | −2.10124 | − | 0.563026i | −0.340866 | − | 0.0913348i | ||||
\(39\) | 5.25492i | 0.841460i | ||||||||
\(40\) | −2.04001 | − | 0.915617i | −0.322554 | − | 0.144772i | ||||
\(41\) | −4.57295 | + | 7.92059i | −0.714175 | + | 1.23699i | 0.249102 | + | 0.968477i | \(0.419865\pi\) |
−0.963277 | + | 0.268510i | \(0.913469\pi\) | |||||||
\(42\) | 0.0433914 | + | 0.161939i | 0.00669544 | + | 0.0249877i | ||||
\(43\) | 0.935119 | − | 3.48991i | 0.142604 | − | 0.532206i | −0.857246 | − | 0.514907i | \(-0.827826\pi\) |
0.999850 | − | 0.0172994i | \(-0.00550685\pi\) | |||||||
\(44\) | −1.79101 | + | 3.10212i | −0.270005 | + | 0.467662i | ||||
\(45\) | 0.356424 | − | 2.20748i | 0.0531325 | − | 0.329071i | ||||
\(46\) | − | 2.03902i | − | 0.300638i | ||||||
\(47\) | −6.62673 | − | 6.62673i | −0.966608 | − | 0.966608i | 0.0328522 | − | 0.999460i | \(-0.489541\pi\) |
−0.999460 | + | 0.0328522i | \(0.989541\pi\) | |||||||
\(48\) | −0.258819 | + | 0.965926i | −0.0373573 | + | 0.139419i | ||||
\(49\) | 6.03784 | + | 3.48595i | 0.862548 | + | 0.497992i | ||||
\(50\) | −4.99149 | − | 0.291642i | −0.705903 | − | 0.0412444i | ||||
\(51\) | 4.05878 | − | 7.03001i | 0.568343 | − | 0.984398i | ||||
\(52\) | −1.36007 | − | 5.07586i | −0.188608 | − | 0.703895i | ||||
\(53\) | −1.03619 | + | 0.277645i | −0.142331 | + | 0.0381375i | −0.329281 | − | 0.944232i | \(-0.606806\pi\) |
0.186950 | + | 0.982369i | \(0.440140\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −1.27672 | + | 7.90723i | −0.172153 | + | 1.06621i | ||||
\(56\) | −0.0838257 | − | 0.145190i | −0.0112017 | − | 0.0194019i | ||||
\(57\) | 0.563026 | + | 2.10124i | 0.0745746 | + | 0.278316i | ||||
\(58\) | −3.21734 | − | 3.21734i | −0.422458 | − | 0.422458i | ||||
\(59\) | 9.81288 | − | 5.66547i | 1.27753 | − | 0.737581i | 0.301135 | − | 0.953581i | \(-0.402634\pi\) |
0.976393 | + | 0.216000i | \(0.0693011\pi\) | |||||||
\(60\) | 0.227058 | + | 2.22451i | 0.0293131 | + | 0.287183i | ||||
\(61\) | − | 7.57409i | − | 0.969763i | −0.874580 | − | 0.484881i | \(-0.838863\pi\) | ||
0.874580 | − | 0.484881i | \(-0.161137\pi\) | |||||||
\(62\) | 0.744745 | + | 5.51773i | 0.0945827 | + | 0.700753i | ||||
\(63\) | 0.118547 | − | 0.118547i | 0.0149356 | − | 0.0149356i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −6.87813 | − | 9.52692i | −0.853126 | − | 1.18167i | ||||
\(66\) | 3.58202 | 0.440916 | ||||||||
\(67\) | −1.98892 | + | 0.532931i | −0.242986 | + | 0.0651078i | −0.378256 | − | 0.925701i | \(-0.623476\pi\) |
0.135271 | + | 0.990809i | \(0.456810\pi\) | |||||||
\(68\) | −2.10098 | + | 7.84096i | −0.254781 | + | 0.950856i | ||||
\(69\) | −1.76585 | + | 1.01951i | −0.212583 | + | 0.122735i | ||||
\(70\) | −0.290627 | − | 0.236793i | −0.0347366 | − | 0.0283022i | ||||
\(71\) | −0.481177 | + | 0.833424i | −0.0571052 | + | 0.0989092i | −0.893165 | − | 0.449729i | \(-0.851520\pi\) |
0.836060 | + | 0.548639i | \(0.184854\pi\) | |||||||
\(72\) | 0.965926 | − | 0.258819i | 0.113835 | − | 0.0305021i | ||||
\(73\) | 1.70902 | − | 0.457932i | 0.200026 | − | 0.0535969i | −0.157415 | − | 0.987533i | \(-0.550316\pi\) |
0.357441 | + | 0.933936i | \(0.383649\pi\) | |||||||
\(74\) | 4.37207 | + | 7.57265i | 0.508243 | + | 0.880302i | ||||
\(75\) | 2.24317 | + | 4.46858i | 0.259019 | + | 0.515987i | ||||
\(76\) | −1.08768 | − | 1.88392i | −0.124766 | − | 0.216100i | ||||
\(77\) | −0.424639 | + | 0.424639i | −0.0483921 | + | 0.0483921i | ||||
\(78\) | −3.71579 | + | 3.71579i | −0.420730 | + | 0.420730i | ||||
\(79\) | 4.34044 | + | 7.51786i | 0.488337 | + | 0.845825i | 0.999910 | − | 0.0134150i | \(-0.00427025\pi\) |
−0.511573 | + | 0.859240i | \(0.670937\pi\) | |||||||
\(80\) | −0.795067 | − | 2.08994i | −0.0888912 | − | 0.233663i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −8.83426 | + | 2.36713i | −0.975581 | + | 0.261406i | ||||
\(83\) | 14.5761 | − | 3.90566i | 1.59994 | − | 0.428702i | 0.654914 | − | 0.755704i | \(-0.272705\pi\) |
0.945024 | + | 0.327002i | \(0.106038\pi\) | |||||||
\(84\) | −0.0838257 | + | 0.145190i | −0.00914613 | + | 0.0158416i | ||||
\(85\) | 1.84316 | + | 18.0576i | 0.199919 | + | 1.95862i | ||||
\(86\) | 3.12897 | − | 1.80651i | 0.337405 | − | 0.194801i | ||||
\(87\) | −1.17763 | + | 4.39497i | −0.126255 | + | 0.471191i | ||||
\(88\) | −3.45997 | + | 0.927095i | −0.368834 | + | 0.0988286i | ||||
\(89\) | −13.3205 | −1.41197 | −0.705987 | − | 0.708225i | \(-0.749496\pi\) | ||||
−0.705987 | + | 0.708225i | \(0.749496\pi\) | |||||||
\(90\) | 1.81295 | − | 1.30889i | 0.191102 | − | 0.137969i | ||||
\(91\) | − | 0.880994i | − | 0.0923533i | ||||||
\(92\) | 1.44181 | − | 1.44181i | 0.150319 | − | 0.150319i | ||||
\(93\) | 4.40612 | − | 3.40383i | 0.456894 | − | 0.352961i | ||||
\(94\) | − | 9.37161i | − | 0.966608i | ||||||
\(95\) | −3.77104 | − | 3.07251i | −0.386900 | − | 0.315233i | ||||
\(96\) | −0.866025 | + | 0.500000i | −0.0883883 | + | 0.0510310i | ||||
\(97\) | −6.21382 | − | 6.21382i | −0.630918 | − | 0.630918i | 0.317381 | − | 0.948298i | \(-0.397197\pi\) |
−0.948298 | + | 0.317381i | \(0.897197\pi\) | |||||||
\(98\) | 1.80446 | + | 6.73433i | 0.182278 | + | 0.680270i | ||||
\(99\) | −1.79101 | − | 3.10212i | −0.180003 | − | 0.311775i | ||||
\(100\) | −3.32329 | − | 3.73574i | −0.332329 | − | 0.373574i | ||||
\(101\) | 0.233218 | 0.0232061 | 0.0116030 | − | 0.999933i | \(-0.496307\pi\) | ||||
0.0116030 | + | 0.999933i | \(0.496307\pi\) | |||||||
\(102\) | 7.84096 | − | 2.10098i | 0.776371 | − | 0.208028i | ||||
\(103\) | 0.188569 | + | 0.703750i | 0.0185803 | + | 0.0693426i | 0.974594 | − | 0.223981i | \(-0.0719053\pi\) |
−0.956013 | + | 0.293324i | \(0.905239\pi\) | |||||||
\(104\) | 2.62746 | − | 4.55089i | 0.257643 | − | 0.446252i | ||||
\(105\) | −0.0597550 | + | 0.370087i | −0.00583149 | + | 0.0361168i | ||||
\(106\) | −0.929019 | − | 0.536369i | −0.0902343 | − | 0.0520968i | ||||
\(107\) | 1.26157 | − | 4.70823i | 0.121960 | − | 0.455162i | −0.877753 | − | 0.479114i | \(-0.840958\pi\) |
0.999713 | + | 0.0239518i | \(0.00762483\pi\) | |||||||
\(108\) | −0.707107 | − | 0.707107i | −0.0680414 | − | 0.0680414i | ||||
\(109\) | − | 6.61537i | − | 0.633637i | −0.948486 | − | 0.316819i | \(-0.897385\pi\) | ||
0.948486 | − | 0.316819i | \(-0.102615\pi\) | |||||||
\(110\) | −6.49403 | + | 4.68848i | −0.619182 | + | 0.447029i | ||||
\(111\) | 4.37207 | − | 7.57265i | 0.414979 | − | 0.718764i | ||||
\(112\) | 0.0433914 | − | 0.161939i | 0.00410010 | − | 0.0153018i | ||||
\(113\) | −2.69194 | − | 10.0465i | −0.253236 | − | 0.945091i | −0.969063 | − | 0.246813i | \(-0.920617\pi\) |
0.715827 | − | 0.698278i | \(-0.246050\pi\) | |||||||
\(114\) | −1.08768 | + | 1.88392i | −0.101871 | + | 0.176445i | ||||
\(115\) | 1.86697 | − | 4.15963i | 0.174095 | − | 0.387888i | ||||
\(116\) | − | 4.55001i | − | 0.422458i | ||||||
\(117\) | 5.07586 | + | 1.36007i | 0.469263 | + | 0.125739i | ||||
\(118\) | 10.9448 | + | 2.93266i | 1.00755 | + | 0.269974i | ||||
\(119\) | −0.680460 | + | 1.17859i | −0.0623777 | + | 0.108041i | ||||
\(120\) | −1.41241 | + | 1.73352i | −0.128935 | + | 0.158248i | ||||
\(121\) | 0.915431 | + | 1.58557i | 0.0832210 | + | 0.144143i | ||||
\(122\) | 5.35569 | − | 5.35569i | 0.484881 | − | 0.484881i | ||||
\(123\) | 6.46713 | + | 6.46713i | 0.583122 | + | 0.583122i | ||||
\(124\) | −3.37501 | + | 4.42824i | −0.303085 | + | 0.397668i | ||||
\(125\) | −9.91566 | − | 5.16524i | −0.886883 | − | 0.461993i | ||||
\(126\) | 0.167651 | 0.0149356 | ||||||||
\(127\) | 11.5851 | + | 3.10421i | 1.02801 | + | 0.275454i | 0.733135 | − | 0.680083i | \(-0.238056\pi\) |
0.294873 | + | 0.955537i | \(0.404723\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | −3.12897 | − | 1.80651i | −0.275490 | − | 0.159054i | ||||
\(130\) | 1.87298 | − | 11.6001i | 0.164271 | − | 1.01740i | ||||
\(131\) | 6.99634 | + | 12.1180i | 0.611273 | + | 1.05876i | 0.991026 | + | 0.133669i | \(0.0426758\pi\) |
−0.379753 | + | 0.925088i | \(0.623991\pi\) | |||||||
\(132\) | 2.53287 | + | 2.53287i | 0.220458 | + | 0.220458i | ||||
\(133\) | −0.0943920 | − | 0.352276i | −0.00818483 | − | 0.0305462i | ||||
\(134\) | −1.78322 | − | 1.02954i | −0.154047 | − | 0.0889390i | ||||
\(135\) | −2.04001 | − | 0.915617i | −0.175576 | − | 0.0788037i | ||||
\(136\) | −7.03001 | + | 4.05878i | −0.602818 | + | 0.348037i | ||||
\(137\) | −0.144066 | − | 0.537663i | −0.0123084 | − | 0.0459356i | 0.959499 | − | 0.281714i | \(-0.0909028\pi\) |
−0.971807 | + | 0.235778i | \(0.924236\pi\) | |||||||
\(138\) | −1.96955 | − | 0.527738i | −0.167659 | − | 0.0449241i | ||||
\(139\) | 6.11986 | 0.519079 | 0.259540 | − | 0.965732i | \(-0.416429\pi\) | ||||
0.259540 | + | 0.965732i | \(0.416429\pi\) | |||||||
\(140\) | −0.0380667 | − | 0.372942i | −0.00321722 | − | 0.0315194i | ||||
\(141\) | −8.11605 | + | 4.68581i | −0.683495 | + | 0.394616i | ||||
\(142\) | −0.929563 | + | 0.249076i | −0.0780072 | + | 0.0209020i | ||||
\(143\) | −18.1818 | − | 4.87181i | −1.52044 | − | 0.407401i | ||||
\(144\) | 0.866025 | + | 0.500000i | 0.0721688 | + | 0.0416667i | ||||
\(145\) | −3.61757 | − | 9.50927i | −0.300422 | − | 0.789702i | ||||
\(146\) | 1.53227 | + | 0.884656i | 0.126812 | + | 0.0732147i | ||||
\(147\) | 4.92987 | − | 4.92987i | 0.406609 | − | 0.406609i | ||||
\(148\) | −2.26315 | + | 8.44619i | −0.186030 | + | 0.694273i | ||||
\(149\) | 8.47711 | − | 4.89426i | 0.694472 | − | 0.400954i | −0.110813 | − | 0.993841i | \(-0.535346\pi\) |
0.805285 | + | 0.592888i | \(0.202012\pi\) | |||||||
\(150\) | −1.57360 | + | 4.74592i | −0.128484 | + | 0.387503i | ||||
\(151\) | − | 15.8599i | − | 1.29066i | −0.763904 | − | 0.645330i | \(-0.776720\pi\) | ||
0.763904 | − | 0.645330i | \(-0.223280\pi\) | |||||||
\(152\) | 0.563026 | − | 2.10124i | 0.0456674 | − | 0.170433i | ||||
\(153\) | −5.73998 | − | 5.73998i | −0.464050 | − | 0.464050i | ||||
\(154\) | −0.600531 | −0.0483921 | ||||||||
\(155\) | −3.53284 | + | 11.9381i | −0.283764 | + | 0.958894i | ||||
\(156\) | −5.25492 | −0.420730 | ||||||||
\(157\) | −6.28454 | − | 6.28454i | −0.501561 | − | 0.501561i | 0.410362 | − | 0.911923i | \(-0.365402\pi\) |
−0.911923 | + | 0.410362i | \(0.865402\pi\) | |||||||
\(158\) | −2.24678 | + | 8.38508i | −0.178744 | + | 0.667081i | ||||
\(159\) | 1.07274i | 0.0850737i | ||||||||
\(160\) | 0.915617 | − | 2.04001i | 0.0723858 | − | 0.161277i | ||||
\(161\) | 0.296047 | − | 0.170923i | 0.0233318 | − | 0.0134706i | ||||
\(162\) | −0.258819 | + | 0.965926i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | 8.52918 | − | 8.52918i | 0.668057 | − | 0.668057i | −0.289209 | − | 0.957266i | \(-0.593392\pi\) |
0.957266 | + | 0.289209i | \(0.0933923\pi\) | |||||||
\(164\) | −7.92059 | − | 4.57295i | −0.618494 | − | 0.357088i | ||||
\(165\) | 7.30736 | + | 3.27976i | 0.568877 | + | 0.255329i | ||||
\(166\) | 13.0686 | + | 7.54516i | 1.01432 | + | 0.585618i | ||||
\(167\) | −14.6822 | − | 3.93408i | −1.13614 | − | 0.304428i | −0.358743 | − | 0.933436i | \(-0.616795\pi\) |
−0.777399 | + | 0.629008i | \(0.783461\pi\) | |||||||
\(168\) | −0.161939 | + | 0.0433914i | −0.0124939 | + | 0.00334772i | ||||
\(169\) | 12.6562 | − | 7.30708i | 0.973556 | − | 0.562083i | ||||
\(170\) | −11.4653 | + | 14.0720i | −0.879351 | + | 1.07927i | ||||
\(171\) | 2.17536 | 0.166354 | ||||||||
\(172\) | 3.48991 | + | 0.935119i | 0.266103 | + | 0.0713021i | ||||
\(173\) | −5.12245 | − | 19.1172i | −0.389453 | − | 1.45346i | −0.831027 | − | 0.556232i | \(-0.812247\pi\) |
0.441574 | − | 0.897225i | \(-0.354420\pi\) | |||||||
\(174\) | −3.94043 | + | 2.27501i | −0.298723 | + | 0.172468i | ||||
\(175\) | −0.376071 | − | 0.749163i | −0.0284283 | − | 0.0566314i | ||||
\(176\) | −3.10212 | − | 1.79101i | −0.233831 | − | 0.135002i | ||||
\(177\) | −2.93266 | − | 10.9448i | −0.220432 | − | 0.822665i | ||||
\(178\) | −9.41905 | − | 9.41905i | −0.705987 | − | 0.705987i | ||||
\(179\) | −12.2026 | − | 21.1356i | −0.912067 | − | 1.57975i | −0.811140 | − | 0.584852i | \(-0.801153\pi\) |
−0.100927 | − | 0.994894i | \(-0.532181\pi\) | |||||||
\(180\) | 2.20748 | + | 0.356424i | 0.164536 | + | 0.0265663i | ||||
\(181\) | −3.52955 | − | 2.03778i | −0.262349 | − | 0.151467i | 0.363057 | − | 0.931767i | \(-0.381733\pi\) |
−0.625406 | + | 0.780300i | \(0.715066\pi\) | |||||||
\(182\) | 0.622957 | − | 0.622957i | 0.0461766 | − | 0.0461766i | ||||
\(183\) | −7.31601 | − | 1.96032i | −0.540815 | − | 0.144911i | ||||
\(184\) | 2.03902 | 0.150319 | ||||||||
\(185\) | 1.98543 | + | 19.4514i | 0.145972 | + | 1.43010i | ||||
\(186\) | 5.52247 | + | 0.708725i | 0.404927 | + | 0.0519663i | ||||
\(187\) | 20.5607 | + | 20.5607i | 1.50355 | + | 1.50355i | ||||
\(188\) | 6.62673 | − | 6.62673i | 0.483304 | − | 0.483304i | ||||
\(189\) | −0.0838257 | − | 0.145190i | −0.00609742 | − | 0.0105610i | ||||
\(190\) | −0.493935 | − | 4.83912i | −0.0358338 | − | 0.351067i | ||||
\(191\) | 1.95916 | − | 3.39337i | 0.141760 | − | 0.245535i | −0.786400 | − | 0.617718i | \(-0.788057\pi\) |
0.928159 | + | 0.372183i | \(0.121391\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | −15.3572 | − | 4.11495i | −1.10543 | − | 0.296200i | −0.340459 | − | 0.940259i | \(-0.610582\pi\) |
−0.764976 | + | 0.644059i | \(0.777249\pi\) | |||||||
\(194\) | − | 8.78766i | − | 0.630918i | ||||||
\(195\) | −10.9825 | + | 4.17801i | −0.786472 | + | 0.299194i | ||||
\(196\) | −3.48595 | + | 6.03784i | −0.248996 | + | 0.431274i | ||||
\(197\) | −4.52997 | − | 16.9061i | −0.322747 | − | 1.20451i | −0.916557 | − | 0.399903i | \(-0.869044\pi\) |
0.593810 | − | 0.804605i | \(-0.297623\pi\) | |||||||
\(198\) | 0.927095 | − | 3.45997i | 0.0658858 | − | 0.245889i | ||||
\(199\) | −0.823050 | + | 1.42556i | −0.0583445 | + | 0.101056i | −0.893722 | − | 0.448620i | \(-0.851916\pi\) |
0.835378 | + | 0.549676i | \(0.185249\pi\) | |||||||
\(200\) | 0.291642 | − | 4.99149i | 0.0206222 | − | 0.352951i | ||||
\(201\) | 2.05909i | 0.145237i | ||||||||
\(202\) | 0.164910 | + | 0.164910i | 0.0116030 | + | 0.0116030i | ||||
\(203\) | 0.197431 | − | 0.736824i | 0.0138570 | − | 0.0517149i | ||||
\(204\) | 7.03001 | + | 4.05878i | 0.492199 | + | 0.284171i | ||||
\(205\) | −20.1894 | − | 3.25982i | −1.41009 | − | 0.227676i | ||||
\(206\) | −0.364288 | + | 0.630965i | −0.0253811 | + | 0.0439614i | ||||
\(207\) | 0.527738 | + | 1.96955i | 0.0366804 | + | 0.136893i | ||||
\(208\) | 5.07586 | − | 1.36007i | 0.351948 | − | 0.0943041i | ||||
\(209\) | −7.79219 | −0.538997 | ||||||||
\(210\) | −0.303944 | + | 0.219438i | −0.0209741 | + | 0.0151426i | ||||
\(211\) | 12.9170 | + | 22.3728i | 0.889240 | + | 1.54021i | 0.840775 | + | 0.541385i | \(0.182100\pi\) |
0.0484655 | + | 0.998825i | \(0.484567\pi\) | |||||||
\(212\) | −0.277645 | − | 1.03619i | −0.0190688 | − | 0.0711656i | ||||
\(213\) | 0.680487 | + | 0.680487i | 0.0466262 | + | 0.0466262i | ||||
\(214\) | 4.22128 | − | 2.43716i | 0.288561 | − | 0.166601i | ||||
\(215\) | 8.03720 | − | 0.820367i | 0.548133 | − | 0.0559486i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −0.738693 | + | 0.570658i | −0.0501457 | + | 0.0387388i | ||||
\(218\) | 4.67777 | − | 4.67777i | 0.316819 | − | 0.316819i | ||||
\(219\) | − | 1.76931i | − | 0.119559i | ||||||
\(220\) | −7.90723 | − | 1.27672i | −0.533105 | − | 0.0860763i | ||||
\(221\) | −42.6571 | −2.86943 | ||||||||
\(222\) | 8.44619 | − | 2.26315i | 0.566871 | − | 0.151893i | ||||
\(223\) | 0.831017 | − | 3.10140i | 0.0556490 | − | 0.207685i | −0.932503 | − | 0.361161i | \(-0.882380\pi\) |
0.988152 | + | 0.153477i | \(0.0490470\pi\) | |||||||
\(224\) | 0.145190 | − | 0.0838257i | 0.00970094 | − | 0.00560084i | ||||
\(225\) | 4.89689 | − | 1.01019i | 0.326459 | − | 0.0673458i | ||||
\(226\) | 5.20043 | − | 9.00741i | 0.345927 | − | 0.599164i | ||||
\(227\) | 20.0230 | − | 5.36515i | 1.32897 | − | 0.356097i | 0.476641 | − | 0.879098i | \(-0.341854\pi\) |
0.852332 | + | 0.523001i | \(0.175188\pi\) | |||||||
\(228\) | −2.10124 | + | 0.563026i | −0.139158 | + | 0.0372873i | ||||
\(229\) | 8.68551 | + | 15.0437i | 0.573954 | + | 0.994118i | 0.996154 | + | 0.0876155i | \(0.0279247\pi\) |
−0.422200 | + | 0.906503i | \(0.638742\pi\) | |||||||
\(230\) | 4.26145 | − | 1.62116i | 0.280992 | − | 0.106896i | ||||
\(231\) | 0.300265 | + | 0.520075i | 0.0197560 | + | 0.0342184i | ||||
\(232\) | 3.21734 | − | 3.21734i | 0.211229 | − | 0.211229i | ||||
\(233\) | 15.2535 | − | 15.2535i | 0.999288 | − | 0.999288i | −0.000711673 | − | 1.00000i | \(-0.500227\pi\) |
1.00000 | 0.000711673i | \(0.000226532\pi\) | ||||||||
\(234\) | 2.62746 | + | 4.55089i | 0.171762 | + | 0.297501i | ||||
\(235\) | 8.58080 | − | 19.1182i | 0.559750 | − | 1.24713i | ||||
\(236\) | 5.66547 | + | 9.81288i | 0.368791 | + | 0.638764i | ||||
\(237\) | 8.38508 | − | 2.24678i | 0.544669 | − | 0.145944i | ||||
\(238\) | −1.31455 | + | 0.352232i | −0.0852095 | + | 0.0228318i | ||||
\(239\) | −3.68195 | + | 6.37732i | −0.238165 | + | 0.412514i | −0.960188 | − | 0.279355i | \(-0.909879\pi\) |
0.722023 | + | 0.691869i | \(0.243213\pi\) | |||||||
\(240\) | −2.22451 | + | 0.227058i | −0.143591 | + | 0.0146566i | ||||
\(241\) | −14.1843 | + | 8.18934i | −0.913694 | + | 0.527522i | −0.881618 | − | 0.471964i | \(-0.843545\pi\) |
−0.0320762 | + | 0.999485i | \(0.510212\pi\) | |||||||
\(242\) | −0.473862 | + | 1.76848i | −0.0304610 | + | 0.113682i | ||||
\(243\) | 0.965926 | − | 0.258819i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | 7.57409 | 0.484881 | ||||||||
\(245\) | −2.48495 | + | 15.3903i | −0.158758 | + | 0.983251i | ||||
\(246\) | 9.14590i | 0.583122i | ||||||||
\(247\) | 8.08319 | − | 8.08319i | 0.514321 | − | 0.514321i | ||||
\(248\) | −5.51773 | + | 0.744745i | −0.350376 | + | 0.0472914i | ||||
\(249\) | − | 15.0903i | − | 0.956310i | ||||||
\(250\) | −3.35905 | − | 10.6638i | −0.212445 | − | 0.674438i | ||||
\(251\) | −13.0594 | + | 7.53987i | −0.824305 | + | 0.475913i | −0.851899 | − | 0.523707i | \(-0.824549\pi\) |
0.0275939 | + | 0.999619i | \(0.491215\pi\) | |||||||
\(252\) | 0.118547 | + | 0.118547i | 0.00746779 | + | 0.00746779i | ||||
\(253\) | −1.89037 | − | 7.05495i | −0.118847 | − | 0.443541i | ||||
\(254\) | 5.99687 | + | 10.3869i | 0.376277 | + | 0.651731i | ||||
\(255\) | 17.9193 | + | 2.89329i | 1.12215 | + | 0.181185i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 17.9072 | − | 4.79822i | 1.11702 | − | 0.299305i | 0.347344 | − | 0.937738i | \(-0.387084\pi\) |
0.769677 | + | 0.638433i | \(0.220417\pi\) | |||||||
\(258\) | −0.935119 | − | 3.48991i | −0.0582179 | − | 0.217272i | ||||
\(259\) | −0.732984 | + | 1.26957i | −0.0455454 | + | 0.0788869i | ||||
\(260\) | 9.52692 | − | 6.87813i | 0.590834 | − | 0.426563i | ||||
\(261\) | 3.94043 | + | 2.27501i | 0.243906 | + | 0.140819i | ||||
\(262\) | −3.62157 | + | 13.5159i | −0.223742 | + | 0.835015i | ||||
\(263\) | 9.13897 | + | 9.13897i | 0.563533 | + | 0.563533i | 0.930309 | − | 0.366776i | \(-0.119538\pi\) |
−0.366776 | + | 0.930309i | \(0.619538\pi\) | |||||||
\(264\) | 3.58202i | 0.220458i | ||||||||
\(265\) | −1.40410 | − | 1.94482i | −0.0862532 | − | 0.119470i | ||||
\(266\) | 0.182351 | − | 0.315842i | 0.0111807 | − | 0.0193655i | ||||
\(267\) | −3.44761 | + | 12.8667i | −0.210990 | + | 0.787426i | ||||
\(268\) | −0.532931 | − | 1.98892i | −0.0325539 | − | 0.121493i | ||||
\(269\) | −5.10313 | + | 8.83888i | −0.311143 | + | 0.538916i | −0.978610 | − | 0.205723i | \(-0.934045\pi\) |
0.667467 | + | 0.744640i | \(0.267379\pi\) | |||||||
\(270\) | −0.795067 | − | 2.08994i | −0.0483862 | − | 0.127190i | ||||
\(271\) | 15.4527i | 0.938686i | 0.883016 | + | 0.469343i | \(0.155509\pi\) | ||||
−0.883016 | + | 0.469343i | \(0.844491\pi\) | |||||||
\(272\) | −7.84096 | − | 2.10098i | −0.475428 | − | 0.127391i | ||||
\(273\) | −0.850975 | − | 0.228018i | −0.0515034 | − | 0.0138003i | ||||
\(274\) | 0.278315 | − | 0.482055i | 0.0168136 | − | 0.0291220i | ||||
\(275\) | −17.5408 | + | 3.61851i | −1.05775 | + | 0.218204i | ||||
\(276\) | −1.01951 | − | 1.76585i | −0.0613674 | − | 0.106292i | ||||
\(277\) | −16.5768 | + | 16.5768i | −0.996004 | + | 0.996004i | −0.999992 | − | 0.00398797i | \(-0.998731\pi\) |
0.00398797 | + | 0.999992i | \(0.498731\pi\) | |||||||
\(278\) | 4.32739 | + | 4.32739i | 0.259540 | + | 0.259540i | ||||
\(279\) | −2.14746 | − | 5.13696i | −0.128565 | − | 0.307542i | ||||
\(280\) | 0.236793 | − | 0.290627i | 0.0141511 | − | 0.0173683i | ||||
\(281\) | 12.0880 | 0.721112 | 0.360556 | − | 0.932738i | \(-0.382587\pi\) | ||||
0.360556 | + | 0.932738i | \(0.382587\pi\) | |||||||
\(282\) | −9.05228 | − | 2.42555i | −0.539056 | − | 0.144440i | ||||
\(283\) | 15.5899 | − | 15.5899i | 0.926723 | − | 0.926723i | −0.0707699 | − | 0.997493i | \(-0.522546\pi\) |
0.997493 | + | 0.0707699i | \(0.0225456\pi\) | |||||||
\(284\) | −0.833424 | − | 0.481177i | −0.0494546 | − | 0.0285526i | ||||
\(285\) | −3.94383 | + | 2.84732i | −0.233612 | + | 0.168661i | ||||
\(286\) | −9.41161 | − | 16.3014i | −0.556520 | − | 0.963921i | ||||
\(287\) | −1.08422 | − | 1.08422i | −0.0639997 | − | 0.0639997i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | 42.3441 | + | 24.4474i | 2.49083 | + | 1.43808i | ||||
\(290\) | 4.16607 | − | 9.28208i | 0.244640 | − | 0.545062i | ||||
\(291\) | −7.61034 | + | 4.39383i | −0.446126 | + | 0.257571i | ||||
\(292\) | 0.457932 | + | 1.70902i | 0.0267984 | + | 0.100013i | ||||
\(293\) | 21.0059 | + | 5.62851i | 1.22718 | + | 0.328821i | 0.813479 | − | 0.581594i | \(-0.197571\pi\) |
0.413697 | + | 0.910415i | \(0.364237\pi\) | |||||||
\(294\) | 6.97189 | 0.406609 | ||||||||
\(295\) | 19.6424 | + | 16.0040i | 1.14363 | + | 0.931786i | ||||
\(296\) | −7.57265 | + | 4.37207i | −0.440151 | + | 0.254121i | ||||
\(297\) | −3.45997 | + | 0.927095i | −0.200768 | + | 0.0537955i | ||||
\(298\) | 9.45499 | + | 2.53346i | 0.547713 | + | 0.146759i | ||||
\(299\) | 9.27938 | + | 5.35745i | 0.536640 | + | 0.309830i | ||||
\(300\) | −4.46858 | + | 2.24317i | −0.257993 | + | 0.129510i | ||||
\(301\) | 0.524576 | + | 0.302864i | 0.0302361 | + | 0.0174568i | ||||
\(302\) | 11.2146 | − | 11.2146i | 0.645330 | − | 0.645330i | ||||
\(303\) | 0.0603613 | − | 0.225271i | 0.00346767 | − | 0.0129415i | ||||
\(304\) | 1.88392 | − | 1.08768i | 0.108050 | − | 0.0623828i | ||||
\(305\) | 15.8294 | − | 6.02191i | 0.906390 | − | 0.344814i | ||||
\(306\) | − | 8.11756i | − | 0.464050i | ||||||
\(307\) | −3.21403 | + | 11.9949i | −0.183434 | + | 0.684586i | 0.811526 | + | 0.584316i | \(0.198637\pi\) |
−0.994960 | + | 0.100270i | \(0.968029\pi\) | |||||||
\(308\) | −0.424639 | − | 0.424639i | −0.0241961 | − | 0.0241961i | ||||
\(309\) | 0.728576 | 0.0414472 | ||||||||
\(310\) | −10.9396 | + | 5.94344i | −0.621329 | + | 0.337565i | ||||
\(311\) | −15.3264 | −0.869083 | −0.434541 | − | 0.900652i | \(-0.643090\pi\) | ||||
−0.434541 | + | 0.900652i | \(0.643090\pi\) | |||||||
\(312\) | −3.71579 | − | 3.71579i | −0.210365 | − | 0.210365i | ||||
\(313\) | 5.27141 | − | 19.6732i | 0.297958 | − | 1.11199i | −0.640882 | − | 0.767640i | \(-0.721431\pi\) |
0.938840 | − | 0.344355i | \(-0.111902\pi\) | |||||||
\(314\) | − | 8.88768i | − | 0.501561i | ||||||
\(315\) | 0.342011 | + | 0.153504i | 0.0192701 | + | 0.00864899i | ||||
\(316\) | −7.51786 | + | 4.34044i | −0.422912 | + | 0.244169i | ||||
\(317\) | 9.14833 | − | 34.1420i | 0.513822 | − | 1.91761i | 0.139833 | − | 0.990175i | \(-0.455343\pi\) |
0.373989 | − | 0.927433i | \(-0.377990\pi\) | |||||||
\(318\) | −0.758541 | + | 0.758541i | −0.0425369 | + | 0.0425369i | ||||
\(319\) | −14.1147 | − | 8.14912i | −0.790271 | − | 0.456263i | ||||
\(320\) | 2.08994 | − | 0.795067i | 0.116831 | − | 0.0444456i | ||||
\(321\) | −4.22128 | − | 2.43716i | −0.235609 | − | 0.136029i | ||||
\(322\) | 0.330197 | + | 0.0884761i | 0.0184012 | + | 0.00493058i | ||||
\(323\) | −17.0569 | + | 4.57039i | −0.949073 | + | 0.254303i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | 14.4422 | − | 21.9494i | 0.801107 | − | 1.21754i | ||||
\(326\) | 12.0621 | 0.668057 | ||||||||
\(327\) | −6.38996 | − | 1.71218i | −0.353365 | − | 0.0946840i | ||||
\(328\) | −2.36713 | − | 8.83426i | −0.130703 | − | 0.487791i | ||||
\(329\) | 1.36067 | − | 0.785582i | 0.0750161 | − | 0.0433105i | ||||
\(330\) | 2.84795 | + | 7.48622i | 0.156774 | + | 0.412103i | ||||
\(331\) | 12.0174 | + | 6.93822i | 0.660534 | + | 0.381359i | 0.792480 | − | 0.609898i | \(-0.208789\pi\) |
−0.131947 | + | 0.991257i | \(0.542123\pi\) | |||||||
\(332\) | 3.90566 | + | 14.5761i | 0.214351 | + | 0.799969i | ||||
\(333\) | −6.18304 | − | 6.18304i | −0.338829 | − | 0.338829i | ||||
\(334\) | −7.60006 | − | 13.1637i | −0.415857 | − | 0.720285i | ||||
\(335\) | −2.69512 | − | 3.73303i | −0.147250 | − | 0.203957i | ||||
\(336\) | −0.145190 | − | 0.0838257i | −0.00792078 | − | 0.00457307i | ||||
\(337\) | −7.21407 | + | 7.21407i | −0.392975 | + | 0.392975i | −0.875747 | − | 0.482771i | \(-0.839630\pi\) |
0.482771 | + | 0.875747i | \(0.339630\pi\) | |||||||
\(338\) | 14.1162 | + | 3.78242i | 0.767819 | + | 0.205737i | ||||
\(339\) | −10.4009 | −0.564897 | ||||||||
\(340\) | −18.0576 | + | 1.84316i | −0.979310 | + | 0.0999594i | ||||
\(341\) | 7.69225 | + | 18.4007i | 0.416559 | + | 0.996454i | ||||
\(342\) | 1.53821 | + | 1.53821i | 0.0831771 | + | 0.0831771i | ||||
\(343\) | −1.65633 | + | 1.65633i | −0.0894335 | + | 0.0894335i | ||||
\(344\) | 1.80651 | + | 3.12897i | 0.0974005 | + | 0.168703i | ||||
\(345\) | −3.53469 | − | 2.87994i | −0.190301 | − | 0.155051i | ||||
\(346\) | 9.89581 | − | 17.1400i | 0.532002 | − | 0.921455i | ||||
\(347\) | 9.40075 | + | 2.51892i | 0.504659 | + | 0.135223i | 0.502161 | − | 0.864774i | \(-0.332538\pi\) |
0.00249754 | + | 0.999997i | \(0.499205\pi\) | |||||||
\(348\) | −4.39497 | − | 1.17763i | −0.235595 | − | 0.0631276i | ||||
\(349\) | − | 29.0261i | − | 1.55373i | −0.629668 | − | 0.776865i | \(-0.716809\pi\) | ||
0.629668 | − | 0.776865i | \(-0.283191\pi\) | |||||||
\(350\) | 0.263816 | − | 0.795661i | 0.0141015 | − | 0.0425299i | ||||
\(351\) | 2.62746 | − | 4.55089i | 0.140243 | − | 0.242909i | ||||
\(352\) | −0.927095 | − | 3.45997i | −0.0494143 | − | 0.184417i | ||||
\(353\) | −5.66507 | + | 21.1423i | −0.301521 | + | 1.12529i | 0.634378 | + | 0.773023i | \(0.281256\pi\) |
−0.935899 | + | 0.352269i | \(0.885410\pi\) | |||||||
\(354\) | 5.66547 | − | 9.81288i | 0.301116 | − | 0.521549i | ||||
\(355\) | −2.12438 | − | 0.343006i | −0.112750 | − | 0.0182049i | ||||
\(356\) | − | 13.3205i | − | 0.705987i | ||||||
\(357\) | 0.962316 | + | 0.962316i | 0.0509311 | + | 0.0509311i | ||||
\(358\) | 6.31654 | − | 23.5737i | 0.333840 | − | 1.24591i | ||||
\(359\) | −25.4461 | − | 14.6913i | −1.34300 | − | 0.775379i | −0.355749 | − | 0.934581i | \(-0.615774\pi\) |
−0.987246 | + | 0.159203i | \(0.949108\pi\) | |||||||
\(360\) | 1.30889 | + | 1.81295i | 0.0689847 | + | 0.0955510i | ||||
\(361\) | −7.13390 | + | 12.3563i | −0.375468 | + | 0.650330i | ||||
\(362\) | −1.05483 | − | 3.93670i | −0.0554409 | − | 0.206908i | ||||
\(363\) | 1.76848 | − | 0.473862i | 0.0928210 | − | 0.0248713i | ||||
\(364\) | 0.880994 | 0.0461766 | ||||||||
\(365\) | 2.31584 | + | 3.20768i | 0.121217 | + | 0.167898i | ||||
\(366\) | −3.78704 | − | 6.55935i | −0.197952 | − | 0.342863i | ||||
\(367\) | −0.00911101 | − | 0.0340027i | −0.000475591 | − | 0.00177493i | 0.965688 | − | 0.259706i | \(-0.0836258\pi\) |
−0.966163 | + | 0.257931i | \(0.916959\pi\) | |||||||
\(368\) | 1.44181 | + | 1.44181i | 0.0751595 | + | 0.0751595i | ||||
\(369\) | 7.92059 | − | 4.57295i | 0.412329 | − | 0.238058i | ||||
\(370\) | −12.3503 | + | 15.1581i | −0.642063 | + | 0.788035i | ||||
\(371\) | − | 0.179846i | − | 0.00933715i | ||||||
\(372\) | 3.40383 | + | 4.40612i | 0.176481 | + | 0.228447i | ||||
\(373\) | −9.70317 | + | 9.70317i | −0.502411 | + | 0.502411i | −0.912186 | − | 0.409775i | \(-0.865607\pi\) |
0.409775 | + | 0.912186i | \(0.365607\pi\) | |||||||
\(374\) | 29.0772i | 1.50355i | ||||||||
\(375\) | −7.55560 | + | 8.24093i | −0.390170 | + | 0.425560i | ||||
\(376\) | 9.37161 | 0.483304 | ||||||||
\(377\) | 23.0952 | − | 6.18835i | 1.18946 | − | 0.318716i | ||||
\(378\) | 0.0433914 | − | 0.161939i | 0.00223181 | − | 0.00832923i | ||||
\(379\) | −21.0283 | + | 12.1407i | −1.08015 | + | 0.623626i | −0.930937 | − | 0.365179i | \(-0.881008\pi\) |
−0.149215 | + | 0.988805i | \(0.547675\pi\) | |||||||
\(380\) | 3.07251 | − | 3.77104i | 0.157616 | − | 0.193450i | ||||
\(381\) | 5.99687 | − | 10.3869i | 0.307229 | − | 0.532136i | ||||
\(382\) | 3.78481 | − | 1.01414i | 0.193648 | − | 0.0518877i | ||||
\(383\) | −22.2210 | + | 5.95411i | −1.13544 | + | 0.304241i | −0.777117 | − | 0.629356i | \(-0.783319\pi\) |
−0.358325 | + | 0.933597i | \(0.616652\pi\) | |||||||
\(384\) | −0.500000 | − | 0.866025i | −0.0255155 | − | 0.0441942i | ||||
\(385\) | −1.22509 | − | 0.549856i | −0.0624363 | − | 0.0280232i | ||||
\(386\) | −7.94947 | − | 13.7689i | −0.404617 | − | 0.700818i | ||||
\(387\) | −2.55479 | + | 2.55479i | −0.129867 | + | 0.129867i | ||||
\(388\) | 6.21382 | − | 6.21382i | 0.315459 | − | 0.315459i | ||||
\(389\) | 3.27396 | + | 5.67067i | 0.165997 | + | 0.287515i | 0.937009 | − | 0.349306i | \(-0.113583\pi\) |
−0.771012 | + | 0.636820i | \(0.780249\pi\) | |||||||
\(390\) | −10.7201 | − | 4.81149i | −0.542833 | − | 0.243639i | ||||
\(391\) | −8.27595 | − | 14.3344i | −0.418533 | − | 0.724920i | ||||
\(392\) | −6.73433 | + | 1.80446i | −0.340135 | + | 0.0911389i | ||||
\(393\) | 13.5159 | − | 3.62157i | 0.681787 | − | 0.182684i | ||||
\(394\) | 8.75123 | − | 15.1576i | 0.440881 | − | 0.763628i | ||||
\(395\) | −12.2610 | + | 15.0485i | −0.616916 | + | 0.757171i | ||||
\(396\) | 3.10212 | − | 1.79101i | 0.155887 | − | 0.0900016i | ||||
\(397\) | −6.55068 | + | 24.4475i | −0.328769 | + | 1.22698i | 0.581699 | + | 0.813404i | \(0.302388\pi\) |
−0.910468 | + | 0.413579i | \(0.864279\pi\) | |||||||
\(398\) | −1.59001 | + | 0.426042i | −0.0797000 | + | 0.0213556i | ||||
\(399\) | −0.364703 | −0.0182580 | ||||||||
\(400\) | 3.73574 | − | 3.32329i | 0.186787 | − | 0.166165i | ||||
\(401\) | 9.44619i | 0.471720i | 0.971787 | + | 0.235860i | \(0.0757907\pi\) | ||||
−0.971787 | + | 0.235860i | \(0.924209\pi\) | |||||||
\(402\) | −1.45599 | + | 1.45599i | −0.0726184 | + | 0.0726184i | ||||
\(403\) | −27.0674 | − | 11.1084i | −1.34832 | − | 0.553347i | ||||
\(404\) | 0.233218i | 0.0116030i | ||||||||
\(405\) | −1.41241 | + | 1.73352i | −0.0701833 | + | 0.0861393i | ||||
\(406\) | 0.660618 | − | 0.381408i | 0.0327859 | − | 0.0189290i | ||||
\(407\) | 22.1478 | + | 22.1478i | 1.09782 | + | 1.09782i | ||||
\(408\) | 2.10098 | + | 7.84096i | 0.104014 | + | 0.388185i | ||||
\(409\) | 17.7200 | + | 30.6920i | 0.876199 | + | 1.51762i | 0.855480 | + | 0.517836i | \(0.173262\pi\) |
0.0207191 | + | 0.999785i | \(0.493404\pi\) | |||||||
\(410\) | −11.9710 | − | 16.5811i | −0.591206 | − | 0.818882i | ||||
\(411\) | −0.556630 | −0.0274565 | ||||||||
\(412\) | −0.703750 | + | 0.188569i | −0.0346713 | + | 0.00929014i | ||||
\(413\) | 0.491665 | + | 1.83492i | 0.0241933 | + | 0.0902905i | ||||
\(414\) | −1.01951 | + | 1.76585i | −0.0501063 | + | 0.0867867i | ||||
\(415\) | 19.7516 | + | 27.3580i | 0.969568 | + | 1.34295i | ||||
\(416\) | 4.55089 | + | 2.62746i | 0.223126 | + | 0.128822i | ||||
\(417\) | 1.58394 | − | 5.91133i | 0.0775656 | − | 0.289479i | ||||
\(418\) | −5.50991 | − | 5.50991i | −0.269499 | − | 0.269499i | ||||
\(419\) | 32.8774i | 1.60617i | 0.595867 | + | 0.803083i | \(0.296808\pi\) | ||||
−0.595867 | + | 0.803083i | \(0.703192\pi\) | |||||||
\(420\) | −0.370087 | − | 0.0597550i | −0.0180584 | − | 0.00291574i | ||||
\(421\) | −9.62992 | + | 16.6795i | −0.469334 | + | 0.812910i | −0.999385 | − | 0.0350557i | \(-0.988839\pi\) |
0.530052 | + | 0.847965i | \(0.322172\pi\) | |||||||
\(422\) | −6.68631 | + | 24.9537i | −0.325485 | + | 1.21473i | ||||
\(423\) | 2.42555 | + | 9.05228i | 0.117934 | + | 0.440137i | ||||
\(424\) | 0.536369 | − | 0.929019i | 0.0260484 | − | 0.0451172i | ||||
\(425\) | −36.2739 | + | 18.2091i | −1.75954 | + | 0.883271i | ||||
\(426\) | 0.962355i | 0.0466262i | ||||||||
\(427\) | 1.22654 | + | 0.328650i | 0.0593564 | + | 0.0159045i | ||||
\(428\) | 4.70823 | + | 1.26157i | 0.227581 | + | 0.0609801i | ||||
\(429\) | −9.41161 | + | 16.3014i | −0.454397 | + | 0.787038i | ||||
\(430\) | 6.26325 | + | 5.10307i | 0.302041 | + | 0.246092i | ||||
\(431\) | −3.20116 | − | 5.54457i | −0.154194 | − | 0.267073i | 0.778571 | − | 0.627557i | \(-0.215945\pi\) |
−0.932765 | + | 0.360484i | \(0.882612\pi\) | |||||||
\(432\) | 0.707107 | − | 0.707107i | 0.0340207 | − | 0.0340207i | ||||
\(433\) | 17.3040 | + | 17.3040i | 0.831577 | + | 0.831577i | 0.987732 | − | 0.156156i | \(-0.0499101\pi\) |
−0.156156 | + | 0.987732i | \(0.549910\pi\) | |||||||
\(434\) | −0.925850 | − | 0.118819i | −0.0444422 | − | 0.00570349i | ||||
\(435\) | −10.1215 | + | 1.03312i | −0.485291 | + | 0.0495342i | ||||
\(436\) | 6.61537 | 0.316819 | ||||||||
\(437\) | 4.28448 | + | 1.14802i | 0.204954 | + | 0.0549174i | ||||
\(438\) | 1.25109 | − | 1.25109i | 0.0597795 | − | 0.0597795i | ||||
\(439\) | 20.8766 | + | 12.0531i | 0.996386 | + | 0.575264i | 0.907177 | − | 0.420749i | \(-0.138233\pi\) |
0.0892093 | + | 0.996013i | \(0.471566\pi\) | |||||||
\(440\) | −4.68848 | − | 6.49403i | −0.223515 | − | 0.309591i | ||||
\(441\) | −3.48595 | − | 6.03784i | −0.165997 | − | 0.287516i | ||||
\(442\) | −30.1631 | − | 30.1631i | −1.43471 | − | 1.43471i | ||||
\(443\) | −1.30381 | − | 4.86588i | −0.0619459 | − | 0.231185i | 0.928011 | − | 0.372552i | \(-0.121517\pi\) |
−0.989957 | + | 0.141367i | \(0.954850\pi\) | |||||||
\(444\) | 7.57265 | + | 4.37207i | 0.359382 | + | 0.207489i | ||||
\(445\) | −10.5907 | − | 27.8392i | −0.502048 | − | 1.31970i | ||||
\(446\) | 2.78064 | − | 1.60540i | 0.131667 | − | 0.0760179i | ||||
\(447\) | −2.53346 | − | 9.45499i | −0.119828 | − | 0.447206i | ||||
\(448\) | 0.161939 | + | 0.0433914i | 0.00765089 | + | 0.00205005i | ||||
\(449\) | −38.2962 | −1.80731 | −0.903655 | − | 0.428261i | \(-0.859126\pi\) | ||||
−0.903655 | + | 0.428261i | \(0.859126\pi\) | |||||||
\(450\) | 4.17693 | + | 2.74831i | 0.196903 | + | 0.129557i | ||||
\(451\) | −28.3717 | + | 16.3804i | −1.33597 | + | 0.771323i | ||||
\(452\) | 10.0465 | − | 2.69194i | 0.472546 | − | 0.126618i | ||||
\(453\) | −15.3195 | − | 4.10485i | −0.719773 | − | 0.192862i | ||||
\(454\) | 17.9521 | + | 10.3647i | 0.842535 | + | 0.486438i | ||||
\(455\) | 1.84123 | − | 0.700450i | 0.0863182 | − | 0.0328376i | ||||
\(456\) | −1.88392 | − | 1.08768i | −0.0882226 | − | 0.0509354i | ||||
\(457\) | −8.07911 | + | 8.07911i | −0.377925 | + | 0.377925i | −0.870353 | − | 0.492428i | \(-0.836109\pi\) |
0.492428 | + | 0.870353i | \(0.336109\pi\) | |||||||
\(458\) | −4.49595 | + | 16.7791i | −0.210082 | + | 0.784036i | ||||
\(459\) | −7.03001 | + | 4.05878i | −0.328133 | + | 0.189448i | ||||
\(460\) | 4.15963 | + | 1.86697i | 0.193944 | + | 0.0870477i | ||||
\(461\) | 15.4551i | 0.719814i | 0.932988 | + | 0.359907i | \(0.117192\pi\) | ||||
−0.932988 | + | 0.359907i | \(0.882808\pi\) | |||||||
\(462\) | −0.155429 | + | 0.580068i | −0.00723120 | + | 0.0269872i | ||||
\(463\) | −24.9724 | − | 24.9724i | −1.16057 | − | 1.16057i | −0.984351 | − | 0.176217i | \(-0.943614\pi\) |
−0.176217 | − | 0.984351i | \(-0.556386\pi\) | |||||||
\(464\) | 4.55001 | 0.211229 | ||||||||
\(465\) | 10.6170 | + | 6.50228i | 0.492351 | + | 0.301536i | ||||
\(466\) | 21.5717 | 0.999288 | ||||||||
\(467\) | 6.65960 | + | 6.65960i | 0.308170 | + | 0.308170i | 0.844199 | − | 0.536030i | \(-0.180076\pi\) |
−0.536030 | + | 0.844199i | \(0.680076\pi\) | |||||||
\(468\) | −1.36007 | + | 5.07586i | −0.0628694 | + | 0.234632i | ||||
\(469\) | − | 0.345209i | − | 0.0159403i | ||||||
\(470\) | 19.5862 | − | 7.45106i | 0.903442 | − | 0.343692i | ||||
\(471\) | −7.69696 | + | 4.44384i | −0.354657 | + | 0.204761i | ||||
\(472\) | −2.93266 | + | 10.9448i | −0.134987 | + | 0.503777i | ||||
\(473\) | 9.15131 | − | 9.15131i | 0.420778 | − | 0.420778i | ||||
\(474\) | 7.51786 | + | 4.34044i | 0.345307 | + | 0.199363i | ||||
\(475\) | 3.42314 | − | 10.3241i | 0.157065 | − | 0.473703i | ||||
\(476\) | −1.17859 | − | 0.680460i | −0.0540206 | − | 0.0311888i | ||||
\(477\) | 1.03619 | + | 0.277645i | 0.0474437 | + | 0.0127125i | ||||
\(478\) | −7.11297 | + | 1.90592i | −0.325340 | + | 0.0871745i | ||||
\(479\) | 20.1537 | − | 11.6357i | 0.920845 | − | 0.531650i | 0.0369405 | − | 0.999317i | \(-0.488239\pi\) |
0.883905 | + | 0.467667i | \(0.154905\pi\) | |||||||
\(480\) | −1.73352 | − | 1.41241i | −0.0791240 | − | 0.0644675i | ||||
\(481\) | −45.9497 | −2.09513 | ||||||||
\(482\) | −15.8206 | − | 4.23911i | −0.720608 | − | 0.193086i | ||||
\(483\) | −0.0884761 | − | 0.330197i | −0.00402580 | − | 0.0150245i | ||||
\(484\) | −1.58557 | + | 0.915431i | −0.0720715 | + | 0.0416105i | ||||
\(485\) | 8.04613 | − | 17.9269i | 0.365356 | − | 0.814020i | ||||
\(486\) | 0.866025 | + | 0.500000i | 0.0392837 | + | 0.0226805i | ||||
\(487\) | −1.90506 | − | 7.10977i | −0.0863264 | − | 0.322175i | 0.909236 | − | 0.416282i | \(-0.136667\pi\) |
−0.995562 | + | 0.0941072i | \(0.970000\pi\) | |||||||
\(488\) | 5.35569 | + | 5.35569i | 0.242441 | + | 0.242441i | ||||
\(489\) | −6.03104 | − | 10.4461i | −0.272733 | − | 0.472388i | ||||
\(490\) | −12.6397 | + | 9.12546i | −0.571004 | + | 0.412246i | ||||
\(491\) | −5.19707 | − | 3.00053i | −0.234541 | − | 0.135412i | 0.378124 | − | 0.925755i | \(-0.376569\pi\) |
−0.612665 | + | 0.790343i | \(0.709902\pi\) | |||||||
\(492\) | −6.46713 | + | 6.46713i | −0.291561 | + | 0.291561i | ||||
\(493\) | −35.6765 | − | 9.55948i | −1.60679 | − | 0.430537i | ||||
\(494\) | 11.4314 | 0.514321 | ||||||||
\(495\) | 5.05929 | − | 6.20950i | 0.227398 | − | 0.279096i | ||||
\(496\) | −4.42824 | − | 3.37501i | −0.198834 | − | 0.151542i | ||||
\(497\) | −0.114085 | − | 0.114085i | −0.00511740 | − | 0.00511740i | ||||
\(498\) | 10.6705 | − | 10.6705i | 0.478155 | − | 0.478155i | ||||
\(499\) | 7.09023 | + | 12.2806i | 0.317402 | + | 0.549757i | 0.979945 | − | 0.199267i | \(-0.0638562\pi\) |
−0.662543 | + | 0.749024i | \(0.730523\pi\) | |||||||
\(500\) | 5.16524 | − | 9.91566i | 0.230997 | − | 0.443442i | ||||
\(501\) | −7.60006 | + | 13.1637i | −0.339546 | + | 0.588110i | ||||
\(502\) | −14.5659 | − | 3.90293i | −0.650109 | − | 0.174196i | ||||
\(503\) | −7.47182 | − | 2.00207i | −0.333152 | − | 0.0892678i | 0.0883654 | − | 0.996088i | \(-0.471836\pi\) |
−0.421517 | + | 0.906820i | \(0.638502\pi\) | |||||||
\(504\) | 0.167651i | 0.00746779i | ||||||||
\(505\) | 0.185424 | + | 0.487413i | 0.00825126 | + | 0.0216896i | ||||
\(506\) | 3.65191 | − | 6.32530i | 0.162347 | − | 0.281194i | ||||
\(507\) | −3.78242 | − | 14.1162i | −0.167983 | − | 0.626922i | ||||
\(508\) | −3.10421 | + | 11.5851i | −0.137727 | + | 0.514004i | ||||
\(509\) | 16.6540 | − | 28.8457i | 0.738178 | − | 1.27856i | −0.215137 | − | 0.976584i | \(-0.569020\pi\) |
0.953315 | − | 0.301978i | \(-0.0976468\pi\) | |||||||
\(510\) | 10.6250 | + | 14.7167i | 0.470484 | + | 0.651669i | ||||
\(511\) | 0.296628i | 0.0131220i | ||||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.563026 | − | 2.10124i | 0.0248582 | − | 0.0927720i | ||||
\(514\) | 16.0552 | + | 9.26945i | 0.708163 | + | 0.408858i | ||||
\(515\) | −1.32087 | + | 0.953628i | −0.0582047 | + | 0.0420219i | ||||
\(516\) | 1.80651 | − | 3.12897i | 0.0795272 | − | 0.137745i | ||||
\(517\) | −8.68837 | − | 32.4255i | −0.382114 | − | 1.42607i | ||||
\(518\) | −1.41602 | + | 0.379420i | −0.0622162 | + | 0.0166708i | ||||
\(519\) | −19.7916 | −0.868756 | ||||||||
\(520\) | 11.6001 | + | 1.87298i | 0.508699 | + | 0.0821355i | ||||
\(521\) | −2.52181 | − | 4.36790i | −0.110483 | − | 0.191361i | 0.805482 | − | 0.592620i | \(-0.201906\pi\) |
−0.915965 | + | 0.401258i | \(0.868573\pi\) | |||||||
\(522\) | 1.17763 | + | 4.39497i | 0.0515435 | + | 0.192363i | ||||
\(523\) | 26.6554 | + | 26.6554i | 1.16556 | + | 1.16556i | 0.983239 | + | 0.182322i | \(0.0583614\pi\) |
0.182322 | + | 0.983239i | \(0.441639\pi\) | |||||||
\(524\) | −12.1180 | + | 6.99634i | −0.529378 | + | 0.305637i | ||||
\(525\) | −0.820970 | + | 0.169359i | −0.0358301 | + | 0.00739145i | ||||
\(526\) | 12.9245i | 0.563533i | ||||||||
\(527\) | 27.6308 | + | 35.7670i | 1.20362 | + | 1.55803i | ||||
\(528\) | −2.53287 | + | 2.53287i | −0.110229 | + | 0.110229i | ||||
\(529\) | − | 18.8424i | − | 0.819234i | ||||||
\(530\) | 0.382350 | − | 2.36805i | 0.0166082 | − | 0.102861i | ||||
\(531\) | −11.3309 | −0.491721 | ||||||||
\(532\) | 0.352276 | − | 0.0943920i | 0.0152731 | − | 0.00409241i | ||||
\(533\) | 12.4391 | − | 46.4233i | 0.538797 | − | 2.01082i | ||||
\(534\) | −11.5359 | + | 6.66027i | −0.499208 | + | 0.288218i | ||||
\(535\) | 10.8430 | − | 1.10676i | 0.468783 | − | 0.0478492i | ||||
\(536\) | 1.02954 | − | 1.78322i | 0.0444695 | − | 0.0770234i | ||||
\(537\) | −23.5737 | + | 6.31654i | −1.01728 | + | 0.272579i | ||||
\(538\) | −9.85849 | + | 2.64157i | −0.425030 | + | 0.113886i | ||||
\(539\) | 12.4867 | + | 21.6276i | 0.537841 | + | 0.931569i | ||||
\(540\) | 0.915617 | − | 2.04001i | 0.0394019 | − | 0.0877881i | ||||
\(541\) | −2.66429 | − | 4.61469i | −0.114547 | − | 0.198401i | 0.803052 | − | 0.595909i | \(-0.203208\pi\) |
−0.917598 | + | 0.397509i | \(0.869875\pi\) | |||||||
\(542\) | −10.9267 | + | 10.9267i | −0.469343 | + | 0.469343i | ||||
\(543\) | −2.88186 | + | 2.88186i | −0.123673 | + | 0.123673i | ||||
\(544\) | −4.05878 | − | 7.03001i | −0.174019 | − | 0.301409i | ||||
\(545\) | 13.8258 | − | 5.25966i | 0.592230 | − | 0.225299i | ||||
\(546\) | −0.440497 | − | 0.762963i | −0.0188515 | − | 0.0326518i | ||||
\(547\) | 30.4925 | − | 8.17043i | 1.30376 | − | 0.349342i | 0.460891 | − | 0.887457i | \(-0.347530\pi\) |
0.842872 | + | 0.538114i | \(0.180863\pi\) | |||||||
\(548\) | 0.537663 | − | 0.144066i | 0.0229678 | − | 0.00615421i | ||||
\(549\) | −3.78704 | + | 6.55935i | −0.161627 | + | 0.279946i | ||||
\(550\) | −14.9619 | − | 9.84451i | −0.637976 | − | 0.419771i | ||||
\(551\) | 8.57186 | − | 4.94897i | 0.365173 | − | 0.210833i | ||||
\(552\) | 0.527738 | − | 1.96955i | 0.0224620 | − | 0.0838295i | ||||
\(553\) | −1.40577 | + | 0.376675i | −0.0597794 | + | 0.0160179i | ||||
\(554\) | −23.4432 | −0.996004 | ||||||||
\(555\) | 19.3025 | + | 3.11662i | 0.819346 | + | 0.132293i | ||||
\(556\) | 6.11986i | 0.259540i | ||||||||
\(557\) | −24.6212 | + | 24.6212i | −1.04323 | + | 1.04323i | −0.0442094 | + | 0.999022i | \(0.514077\pi\) |
−0.999022 | + | 0.0442094i | \(0.985923\pi\) | |||||||
\(558\) | 2.11390 | − | 5.15087i | 0.0894884 | − | 0.218054i | ||||
\(559\) | 18.9861i | 0.803028i | ||||||||
\(560\) | 0.372942 | − | 0.0380667i | 0.0157597 | − | 0.00160861i | ||||
\(561\) | 25.1816 | − | 14.5386i | 1.06317 | − | 0.613821i | ||||
\(562\) | 8.54754 | + | 8.54754i | 0.360556 | + | 0.360556i | ||||
\(563\) | 0.369813 | + | 1.38016i | 0.0155858 | + | 0.0581669i | 0.973281 | − | 0.229618i | \(-0.0737478\pi\) |
−0.957695 | + | 0.287785i | \(0.907081\pi\) | |||||||
\(564\) | −4.68581 | − | 8.11605i | −0.197308 | − | 0.341748i | ||||
\(565\) | 18.8563 | − | 13.6136i | 0.793289 | − | 0.572729i | ||||
\(566\) | 22.0474 | 0.926723 | ||||||||
\(567\) | −0.161939 | + | 0.0433914i | −0.00680079 | + | 0.00182227i | ||||
\(568\) | −0.249076 | − | 0.929563i | −0.0104510 | − | 0.0390036i | ||||
\(569\) | −14.5622 | + | 25.2225i | −0.610480 | + | 1.05738i | 0.380679 | + | 0.924707i | \(0.375690\pi\) |
−0.991159 | + | 0.132676i | \(0.957643\pi\) | |||||||
\(570\) | −4.80207 | − | 0.775352i | −0.201137 | − | 0.0324759i | ||||
\(571\) | 22.5211 | + | 13.0026i | 0.942480 | + | 0.544141i | 0.890737 | − | 0.454519i | \(-0.150189\pi\) |
0.0517435 | + | 0.998660i | \(0.483522\pi\) | |||||||
\(572\) | 4.87181 | − | 18.1818i | 0.203700 | − | 0.760220i | ||||
\(573\) | −2.77067 | − | 2.77067i | −0.115746 | − | 0.115746i | ||||
\(574\) | − | 1.53332i | − | 0.0639997i | ||||||
\(575\) | 10.1778 | + | 0.594665i | 0.424442 | + | 0.0247993i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −3.22836 | + | 12.0484i | −0.134398 | + | 0.501581i | 0.865601 | + | 0.500734i | \(0.166936\pi\) |
−1.00000 | 0.000847531i | \(0.999730\pi\) | ||||||||
\(578\) | 12.6549 | + | 47.2287i | 0.526374 | + | 1.96445i | ||||
\(579\) | −7.94947 | + | 13.7689i | −0.330369 | + | 0.572215i | ||||
\(580\) | 9.50927 | − | 3.61757i | 0.394851 | − | 0.150211i | ||||
\(581\) | 2.52991i | 0.104958i | ||||||||
\(582\) | −8.48823 | − | 2.27441i | −0.351849 | − | 0.0942775i | ||||
\(583\) | −3.71164 | − | 0.994531i | −0.153720 | − | 0.0411892i | ||||
\(584\) | −0.884656 | + | 1.53227i | −0.0366073 | + | 0.0634058i | ||||
\(585\) | 1.19317 | + | 11.6896i | 0.0493316 | + | 0.483306i | ||||
\(586\) | 10.8734 | + | 18.8334i | 0.449178 | + | 0.777999i | ||||
\(587\) | 13.6041 | − | 13.6041i | 0.561503 | − | 0.561503i | −0.368231 | − | 0.929734i | \(-0.620036\pi\) |
0.929734 | + | 0.368231i | \(0.120036\pi\) | |||||||
\(588\) | 4.92987 | + | 4.92987i | 0.203305 | + | 0.203305i | ||||
\(589\) | −12.0134 | − | 1.54174i | −0.495003 | − | 0.0635261i | ||||
\(590\) | 2.57279 | + | 25.2058i | 0.105920 | + | 1.03771i | ||||
\(591\) | −17.5025 | −0.719955 | ||||||||
\(592\) | −8.44619 | − | 2.26315i | −0.347136 | − | 0.0930149i | ||||
\(593\) | −22.4759 | + | 22.4759i | −0.922976 | + | 0.922976i | −0.997239 | − | 0.0742623i | \(-0.976340\pi\) |
0.0742623 | + | 0.997239i | \(0.476340\pi\) | |||||||
\(594\) | −3.10212 | − | 1.79101i | −0.127282 | − | 0.0734860i | ||||
\(595\) | −3.00420 | − | 0.485064i | −0.123160 | − | 0.0198857i | ||||
\(596\) | 4.89426 | + | 8.47711i | 0.200477 | + | 0.347236i | ||||
\(597\) | 1.16397 | + | 1.16397i | 0.0476381 | + | 0.0476381i | ||||
\(598\) | 2.77322 | + | 10.3498i | 0.113405 | + | 0.423235i | ||||
\(599\) | −3.01174 | − | 1.73883i | −0.123056 | − | 0.0710467i | 0.437208 | − | 0.899360i | \(-0.355967\pi\) |
−0.560265 | + | 0.828314i | \(0.689301\pi\) | |||||||
\(600\) | −4.74592 | − | 1.57360i | −0.193752 | − | 0.0642418i | ||||
\(601\) | −4.74284 | + | 2.73828i | −0.193465 | + | 0.111697i | −0.593603 | − | 0.804758i | \(-0.702295\pi\) |
0.400139 | + | 0.916455i | \(0.368962\pi\) | |||||||
\(602\) | 0.156774 | + | 0.585088i | 0.00638963 | + | 0.0238464i | ||||
\(603\) | 1.98892 | + | 0.532931i | 0.0809953 | + | 0.0217026i | ||||
\(604\) | 15.8599 | 0.645330 | ||||||||
\(605\) | −2.58593 | + | 3.17384i | −0.105133 | + | 0.129035i | ||||
\(606\) | 0.201973 | − | 0.116609i | 0.00820459 | − | 0.00473692i | ||||
\(607\) | −10.9674 | + | 2.93870i | −0.445153 | + | 0.119278i | −0.474430 | − | 0.880293i | \(-0.657346\pi\) |
0.0292778 | + | 0.999571i | \(0.490679\pi\) | |||||||
\(608\) | 2.10124 | + | 0.563026i | 0.0852165 | + | 0.0228337i | ||||
\(609\) | −0.660618 | − | 0.381408i | −0.0267696 | − | 0.0154554i | ||||
\(610\) | 15.4512 | + | 6.93496i | 0.625602 | + | 0.280788i | ||||
\(611\) | 42.6492 | + | 24.6235i | 1.72540 | + | 0.996161i | ||||
\(612\) | 5.73998 | − | 5.73998i | 0.232025 | − | 0.232025i | ||||
\(613\) | 5.21354 | − | 19.4572i | 0.210573 | − | 0.785869i | −0.777105 | − | 0.629370i | \(-0.783313\pi\) |
0.987678 | − | 0.156498i | \(-0.0500205\pi\) | |||||||
\(614\) | −10.7543 | + | 6.20903i | −0.434010 | + | 0.250576i | ||||
\(615\) | −8.37414 | + | 18.6577i | −0.337678 | + | 0.752353i | ||||
\(616\) | − | 0.600531i | − | 0.0241961i | ||||||
\(617\) | 10.1385 | − | 37.8375i | 0.408162 | − | 1.52328i | −0.389986 | − | 0.920821i | \(-0.627520\pi\) |
0.798148 | − | 0.602461i | \(-0.205813\pi\) | |||||||
\(618\) | 0.515181 | + | 0.515181i | 0.0207236 | + | 0.0207236i | ||||
\(619\) | −10.9383 | −0.439647 | −0.219823 | − | 0.975540i | \(-0.570548\pi\) | ||||
−0.219823 | + | 0.975540i | \(0.570548\pi\) | |||||||
\(620\) | −11.9381 | − | 3.53284i | −0.479447 | − | 0.141882i | ||||
\(621\) | 2.03902 | 0.0818233 | ||||||||
\(622\) | −10.8374 | − | 10.8374i | −0.434541 | − | 0.434541i | ||||
\(623\) | 0.577997 | − | 2.15711i | 0.0231569 | − | 0.0864229i | ||||
\(624\) | − | 5.25492i | − | 0.210365i | ||||||
\(625\) | 2.91146 | − | 24.8299i | 0.116458 | − | 0.993196i | ||||
\(626\) | 17.6385 | − | 10.1836i | 0.704976 | − | 0.407018i | ||||
\(627\) | −2.01677 | + | 7.52668i | −0.0805420 | + | 0.300587i | ||||
\(628\) | 6.28454 | − | 6.28454i | 0.250781 | − | 0.250781i | ||||
\(629\) | 61.4714 | + | 35.4905i | 2.45103 | + | 1.41510i | ||||
\(630\) | 0.133294 | + | 0.350382i | 0.00531057 | + | 0.0139596i | ||||
\(631\) | 20.8270 | + | 12.0245i | 0.829111 | + | 0.478687i | 0.853548 | − | 0.521014i | \(-0.174446\pi\) |
−0.0244372 | + | 0.999701i | \(0.507779\pi\) | |||||||
\(632\) | −8.38508 | − | 2.24678i | −0.333541 | − | 0.0893719i | ||||
\(633\) | 24.9537 | − | 6.68631i | 0.991819 | − | 0.265757i | ||||
\(634\) | 30.6109 | − | 17.6732i | 1.21572 | − | 0.701893i | ||||
\(635\) | 2.72328 | + | 26.6802i | 0.108070 | + | 1.05877i | ||||
\(636\) | −1.07274 | −0.0425369 | ||||||||
\(637\) | −35.3884 | − | 9.48228i | −1.40214 | − | 0.375702i | ||||
\(638\) | −4.21829 | − | 15.7429i | −0.167004 | − | 0.623267i | ||||
\(639\) | 0.833424 | − | 0.481177i | 0.0329697 | − | 0.0190351i | ||||
\(640\) | 2.04001 | + | 0.915617i | 0.0806385 | + | 0.0361929i | ||||
\(641\) | −30.9911 | − | 17.8927i | −1.22407 | − | 0.706720i | −0.258290 | − | 0.966067i | \(-0.583159\pi\) |
−0.965784 | + | 0.259348i | \(0.916492\pi\) | |||||||
\(642\) | −1.26157 | − | 4.70823i | −0.0497901 | − | 0.185819i | ||||
\(643\) | −1.81904 | − | 1.81904i | −0.0717360 | − | 0.0717360i | 0.670329 | − | 0.742064i | \(-0.266153\pi\) |
−0.742064 | + | 0.670329i | \(0.766153\pi\) | |||||||
\(644\) | 0.170923 | + | 0.296047i | 0.00673530 | + | 0.0116659i | ||||
\(645\) | 1.28777 | − | 7.97567i | 0.0507058 | − | 0.314042i | ||||
\(646\) | −15.2928 | − | 8.82932i | −0.601688 | − | 0.347385i | ||||
\(647\) | 11.4810 | − | 11.4810i | 0.451365 | − | 0.451365i | −0.444442 | − | 0.895808i | \(-0.646598\pi\) |
0.895808 | + | 0.444442i | \(0.146598\pi\) | |||||||
\(648\) | −0.965926 | − | 0.258819i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | 40.5876 | 1.59320 | ||||||||
\(650\) | 25.7327 | − | 5.30845i | 1.00932 | − | 0.208215i | ||||
\(651\) | 0.360025 | + | 0.861219i | 0.0141105 | + | 0.0337538i | ||||
\(652\) | 8.52918 | + | 8.52918i | 0.334028 | + | 0.334028i | ||||
\(653\) | 0.113362 | − | 0.113362i | 0.00443619 | − | 0.00443619i | −0.704885 | − | 0.709321i | \(-0.749002\pi\) |
0.709321 | + | 0.704885i | \(0.249002\pi\) | |||||||
\(654\) | −3.30768 | − | 5.72908i | −0.129341 | − | 0.224025i | ||||
\(655\) | −19.7634 | + | 24.2566i | −0.772221 | + | 0.947784i | ||||
\(656\) | 4.57295 | − | 7.92059i | 0.178544 | − | 0.309247i | ||||
\(657\) | −1.70902 | − | 0.457932i | −0.0666754 | − | 0.0178656i | ||||
\(658\) | 1.51763 | + | 0.406647i | 0.0591633 | + | 0.0158528i | ||||
\(659\) | − | 33.8326i | − | 1.31793i | −0.752173 | − | 0.658966i | \(-0.770994\pi\) | ||
0.752173 | − | 0.658966i | \(-0.229006\pi\) | |||||||
\(660\) | −3.27976 | + | 7.30736i | −0.127664 | + | 0.284439i | ||||
\(661\) | −9.06747 | + | 15.7053i | −0.352684 | + | 0.610866i | −0.986719 | − | 0.162438i | \(-0.948064\pi\) |
0.634035 | + | 0.773304i | \(0.281397\pi\) | |||||||
\(662\) | 3.59149 | + | 13.4036i | 0.139587 | + | 0.520946i | ||||
\(663\) | −11.0405 | + | 41.2036i | −0.428776 | + | 1.60021i | ||||
\(664\) | −7.54516 | + | 13.0686i | −0.292809 | + | 0.507160i | ||||
\(665\) | 0.661189 | − | 0.477357i | 0.0256398 | − | 0.0185111i | ||||
\(666\) | − | 8.74414i | − | 0.338829i | ||||||
\(667\) | 6.56025 | + | 6.56025i | 0.254014 | + | 0.254014i | ||||
\(668\) | 3.93408 | − | 14.6822i | 0.152214 | − | 0.568071i | ||||
\(669\) | −2.78064 | − | 1.60540i | −0.107506 | − | 0.0620684i | ||||
\(670\) | 0.733908 | − | 4.54539i | 0.0283533 | − | 0.175604i | ||||
\(671\) | 13.5653 | − | 23.4957i | 0.523681 | − | 0.907043i | ||||
\(672\) | −0.0433914 | − | 0.161939i | −0.00167386 | − | 0.00624693i | ||||
\(673\) | −19.0230 | + | 5.09721i | −0.733284 | + | 0.196483i | −0.606091 | − | 0.795395i | \(-0.707263\pi\) |
−0.127193 | + | 0.991878i | \(0.540597\pi\) | |||||||
\(674\) | −10.2022 | −0.392975 | ||||||||
\(675\) | 0.291642 | − | 4.99149i | 0.0112253 | − | 0.192122i | ||||
\(676\) | 7.30708 | + | 12.6562i | 0.281041 | + | 0.486778i | ||||
\(677\) | 1.15532 | + | 4.31171i | 0.0444026 | + | 0.165713i | 0.984567 | − | 0.175009i | \(-0.0559954\pi\) |
−0.940164 | + | 0.340721i | \(0.889329\pi\) | |||||||
\(678\) | −7.35452 | − | 7.35452i | −0.282449 | − | 0.282449i | ||||
\(679\) | 1.27588 | − | 0.736632i | 0.0489639 | − | 0.0282693i | ||||
\(680\) | −14.0720 | − | 11.4653i | −0.539635 | − | 0.439675i | ||||
\(681\) | − | 20.7293i | − | 0.794350i | ||||||
\(682\) | −7.57202 | + | 18.4505i | −0.289948 | + | 0.706506i | ||||
\(683\) | 16.0663 | − | 16.0663i | 0.614761 | − | 0.614761i | −0.329422 | − | 0.944183i | \(-0.606854\pi\) |
0.944183 | + | 0.329422i | \(0.106854\pi\) | |||||||
\(684\) | 2.17536i | 0.0831771i | ||||||||
\(685\) | 1.00914 | − | 0.728569i | 0.0385574 | − | 0.0278372i | ||||
\(686\) | −2.34241 | −0.0894335 | ||||||||
\(687\) | 16.7791 | − | 4.49595i | 0.640163 | − | 0.171531i | ||||
\(688\) | −0.935119 | + | 3.48991i | −0.0356511 | + | 0.133052i | ||||
\(689\) | 4.88192 | − | 2.81858i | 0.185986 | − | 0.107379i | ||||
\(690\) | −0.462978 | − | 4.53583i | −0.0176253 | − | 0.172676i | ||||
\(691\) | 10.6947 | − | 18.5238i | 0.406847 | − | 0.704680i | −0.587687 | − | 0.809088i | \(-0.699961\pi\) |
0.994535 | + | 0.104408i | \(0.0332948\pi\) | |||||||
\(692\) | 19.1172 | − | 5.12245i | 0.726728 | − | 0.194726i | ||||
\(693\) | 0.580068 | − | 0.155429i | 0.0220350 | − | 0.00590425i | ||||
\(694\) | 4.86619 | + | 8.42849i | 0.184718 | + | 0.319941i | ||||
\(695\) | 4.86570 | + | 12.7902i | 0.184566 | + | 0.485158i | ||||
\(696\) | −2.27501 | − | 3.94043i | −0.0862339 | − | 0.149361i | ||||
\(697\) | −52.4973 | + | 52.4973i | −1.98848 | + | 1.98848i | ||||
\(698\) | 20.5245 | − | 20.5245i | 0.776865 | − | 0.776865i | ||||
\(699\) | −10.7858 | − | 18.6816i | −0.407958 | − | 0.706603i | ||||
\(700\) | 0.749163 | − | 0.376071i | 0.0283157 | − | 0.0142142i | ||||
\(701\) | 11.9222 | + | 20.6499i | 0.450296 | + | 0.779936i | 0.998404 | − | 0.0564718i | \(-0.0179851\pi\) |
−0.548108 | + | 0.836408i | \(0.684652\pi\) | |||||||
\(702\) | 5.07586 | − | 1.36007i | 0.191576 | − | 0.0513326i | ||||
\(703\) | −18.3735 | + | 4.92317i | −0.692971 | + | 0.185681i | ||||
\(704\) | 1.79101 | − | 3.10212i | 0.0675012 | − | 0.116916i | ||||
\(705\) | −16.2459 | − | 13.2366i | −0.611855 | − | 0.498518i | ||||
\(706\) | −18.9557 | + | 10.9441i | −0.713407 | + | 0.411886i | ||||
\(707\) | −0.0101197 | + | 0.0377671i | −0.000380589 | + | 0.00142038i | ||||
\(708\) | 10.9448 | − | 2.93266i | 0.411333 | − | 0.110216i | ||||
\(709\) | −29.3437 | −1.10202 | −0.551012 | − | 0.834497i | \(-0.685758\pi\) | ||||
−0.551012 | + | 0.834497i | \(0.685758\pi\) | |||||||
\(710\) | −1.25962 | − | 1.74470i | −0.0472727 | − | 0.0654776i | ||||
\(711\) | − | 8.68087i | − | 0.325558i | ||||||
\(712\) | 9.41905 | − | 9.41905i | 0.352994 | − | 0.352994i | ||||
\(713\) | −1.51855 | − | 11.2508i | −0.0568703 | − | 0.421345i | ||||
\(714\) | 1.36092i | 0.0509311i | ||||||||
\(715\) | −4.27397 | − | 41.8724i | −0.159837 | − | 1.56594i | ||||
\(716\) | 21.1356 | − | 12.2026i | 0.789873 | − | 0.456033i | ||||
\(717\) | 5.20706 | + | 5.20706i | 0.194461 | + | 0.194461i | ||||
\(718\) | −7.60479 | − | 28.3815i | −0.283808 | − | 1.05919i | ||||
\(719\) | 17.9327 | + | 31.0603i | 0.668775 | + | 1.15835i | 0.978247 | + | 0.207444i | \(0.0665146\pi\) |
−0.309471 | + | 0.950909i | \(0.600152\pi\) | |||||||
\(720\) | −0.356424 | + | 2.20748i | −0.0132831 | + | 0.0822679i | ||||
\(721\) | −0.122147 | −0.00454898 | ||||||||
\(722\) | −13.7816 | + | 3.69278i | −0.512899 | + | 0.137431i | ||||
\(723\) | 4.23911 | + | 15.8206i | 0.157654 | + | 0.588374i | ||||
\(724\) | 2.03778 | − | 3.52955i | 0.0757337 | − | 0.131175i | ||||
\(725\) | 16.9976 | − | 15.1210i | 0.631277 | − | 0.561581i | ||||
\(726\) | 1.58557 | + | 0.915431i | 0.0588462 | + | 0.0339748i | ||||
\(727\) | −0.544357 | + | 2.03157i | −0.0201891 | + | 0.0753467i | −0.975285 | − | 0.220949i | \(-0.929085\pi\) |
0.955096 | + | 0.296295i | \(0.0957513\pi\) | |||||||
\(728\) | 0.622957 | + | 0.622957i | 0.0230883 | + | 0.0230883i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −0.630625 | + | 3.90572i | −0.0233405 | + | 0.144557i | ||||
\(731\) | 14.6645 | − | 25.3996i | 0.542384 | − | 0.939437i | ||||
\(732\) | 1.96032 | − | 7.31601i | 0.0724555 | − | 0.270407i | ||||
\(733\) | −0.390471 | − | 1.45726i | −0.0144224 | − | 0.0538250i | 0.958340 | − | 0.285631i | \(-0.0922032\pi\) |
−0.972762 | + | 0.231806i | \(0.925537\pi\) | |||||||
\(734\) | 0.0176011 | − | 0.0304860i | 0.000649669 | − | 0.00112526i | ||||
\(735\) | 14.2227 | + | 6.38358i | 0.524614 | + | 0.235462i | ||||
\(736\) | 2.03902i | 0.0751595i | ||||||||
\(737\) | −7.12437 | − | 1.90897i | −0.262429 | − | 0.0703177i | ||||
\(738\) | 8.83426 | + | 2.36713i | 0.325194 | + | 0.0871354i | ||||
\(739\) | 20.4684 | − | 35.4524i | 0.752944 | − | 1.30414i | −0.193446 | − | 0.981111i | \(-0.561966\pi\) |
0.946390 | − | 0.323026i | \(-0.104700\pi\) | |||||||
\(740\) | −19.4514 | + | 1.98543i | −0.715049 | + | 0.0729859i | ||||
\(741\) | −5.71568 | − | 9.89984i | −0.209971 | − | 0.363680i | ||||
\(742\) | 0.127170 | − | 0.127170i | 0.00466857 | − | 0.00466857i | ||||
\(743\) | 9.13656 | + | 9.13656i | 0.335188 | + | 0.335188i | 0.854553 | − | 0.519365i | \(-0.173831\pi\) |
−0.519365 | + | 0.854553i | \(0.673831\pi\) | |||||||
\(744\) | −0.708725 | + | 5.52247i | −0.0259831 | + | 0.202464i | ||||
\(745\) | 16.9686 | + | 13.8254i | 0.621682 | + | 0.506524i | ||||
\(746\) | −13.7224 | −0.502411 | ||||||||
\(747\) | −14.5761 | − | 3.90566i | −0.533313 | − | 0.142901i | ||||
\(748\) | −20.5607 | + | 20.5607i | −0.751774 | + | 0.751774i | ||||
\(749\) | 0.707704 | + | 0.408593i | 0.0258590 | + | 0.0149297i | ||||
\(750\) | −11.1698 | + | 0.484598i | −0.407865 | + | 0.0176950i | ||||
\(751\) | 11.5686 | + | 20.0375i | 0.422145 | + | 0.731177i | 0.996149 | − | 0.0876756i | \(-0.0279439\pi\) |
−0.574004 | + | 0.818853i | \(0.694611\pi\) | |||||||
\(752\) | 6.62673 | + | 6.62673i | 0.241652 | + | 0.241652i | ||||
\(753\) | 3.90293 | + | 14.5659i | 0.142231 | + | 0.530812i | ||||
\(754\) | 20.7066 | + | 11.9550i | 0.754090 | + | 0.435374i | ||||
\(755\) | 33.1463 | − | 12.6097i | 1.20632 | − | 0.458914i | ||||
\(756\) | 0.145190 | − | 0.0838257i | 0.00528052 | − | 0.00304871i | ||||
\(757\) | −7.96321 | − | 29.7191i | −0.289428 | − | 1.08016i | −0.945543 | − | 0.325498i | \(-0.894468\pi\) |
0.656115 | − | 0.754661i | \(-0.272199\pi\) | |||||||
\(758\) | −23.4540 | − | 6.28449i | −0.851889 | − | 0.228263i | ||||
\(759\) | −7.30383 | −0.265112 | ||||||||
\(760\) | 4.83912 | − | 0.493935i | 0.175533 | − | 0.0179169i | ||||
\(761\) | 21.0392 | − | 12.1470i | 0.762670 | − | 0.440328i | −0.0675836 | − | 0.997714i | \(-0.521529\pi\) |
0.830254 | + | 0.557386i | \(0.188196\pi\) | |||||||
\(762\) | 11.5851 | − | 3.10421i | 0.419683 | − | 0.112454i | ||||
\(763\) | 1.07129 | + | 0.287050i | 0.0387831 | + | 0.0103919i | ||||
\(764\) | 3.39337 | + | 1.95916i | 0.122768 | + | 0.0708800i | ||||
\(765\) | 7.43257 | − | 16.5599i | 0.268725 | − | 0.598725i | ||||
\(766\) | −19.9228 | − | 11.5025i | −0.719841 | − | 0.415601i | ||||
\(767\) | −42.1034 | + | 42.1034i | −1.52026 | + | 1.52026i | ||||
\(768\) | 0.258819 | − | 0.965926i | 0.00933933 | − | 0.0348548i | ||||
\(769\) | −15.3971 | + | 8.88949i | −0.555232 | + | 0.320563i | −0.751230 | − | 0.660041i | \(-0.770539\pi\) |
0.195998 | + | 0.980604i | \(0.437206\pi\) | |||||||
\(770\) | −0.477462 | − | 1.25508i | −0.0172065 | − | 0.0452298i | ||||
\(771\) | − | 18.5389i | − | 0.667663i | ||||||
\(772\) | 4.11495 | − | 15.3572i | 0.148100 | − | 0.552717i | ||||
\(773\) | −11.7202 | − | 11.7202i | −0.421545 | − | 0.421545i | 0.464191 | − | 0.885735i | \(-0.346345\pi\) |
−0.885735 | + | 0.464191i | \(0.846345\pi\) | |||||||
\(774\) | −3.61302 | −0.129867 | ||||||||
\(775\) | −27.7589 | + | 2.10818i | −0.997128 | + | 0.0757282i | ||||
\(776\) | 8.78766 | 0.315459 | ||||||||
\(777\) | 1.03660 | + | 1.03660i | 0.0371877 | + | 0.0371877i | ||||
\(778\) | −1.69473 | + | 6.32481i | −0.0607590 | + | 0.226756i | ||||
\(779\) | − | 19.8957i | − | 0.712836i | ||||||
\(780\) | −4.17801 | − | 10.9825i | −0.149597 | − | 0.393236i | ||||
\(781\) | −2.98534 | + | 1.72359i | −0.106824 | + | 0.0616748i | ||||
\(782\) | 4.28395 | − | 15.9879i | 0.153194 | − | 0.571726i | ||||
\(783\) | 3.21734 | − | 3.21734i | 0.114979 | − | 0.114979i | ||||
\(784\) | −6.03784 | − | 3.48595i | −0.215637 | − | 0.124498i | ||||
\(785\) | 8.13771 | − | 18.1310i | 0.290447 | − | 0.647122i | ||||
\(786\) | 12.1180 | + | 6.99634i | 0.432236 | + | 0.249551i | ||||
\(787\) | −26.6818 | − | 7.14938i | −0.951105 | − | 0.254848i | −0.250274 | − | 0.968175i | \(-0.580521\pi\) |
−0.700831 | + | 0.713327i | \(0.747187\pi\) | |||||||
\(788\) | 16.9061 | − | 4.52997i | 0.602254 | − | 0.161374i | ||||
\(789\) | 11.1929 | − | 6.46223i | 0.398478 | − | 0.230061i | ||||
\(790\) | −19.3107 | + | 1.97107i | −0.687043 | + | 0.0701274i | ||||
\(791\) | 1.74372 | 0.0619995 | ||||||||
\(792\) | 3.45997 | + | 0.927095i | 0.122945 | + | 0.0329429i | ||||
\(793\) | 10.3013 | + | 38.4450i | 0.365810 | + | 1.36522i | ||||
\(794\) | −21.9190 | + | 12.6549i | −0.777876 | + | 0.449107i | ||||
\(795\) | −2.24196 | + | 0.852899i | −0.0795143 | + | 0.0302492i | ||||
\(796\) | −1.42556 | − | 0.823050i | −0.0505278 | − | 0.0291722i | ||||
\(797\) | 10.2993 | + | 38.4377i | 0.364821 | + | 1.36153i | 0.867663 | + | 0.497153i | \(0.165621\pi\) |
−0.502842 | + | 0.864379i | \(0.667712\pi\) | |||||||
\(798\) | −0.257884 | − | 0.257884i | −0.00912899 | − | 0.00912899i | ||||
\(799\) | −38.0373 | − | 65.8825i | −1.34566 | − | 2.33076i | ||||
\(800\) | 4.99149 | + | 0.291642i | 0.176476 | + | 0.0103111i | ||||
\(801\) | 11.5359 | + | 6.66027i | 0.407602 | + | 0.235329i | ||||
\(802\) | −6.67946 | + | 6.67946i | −0.235860 | + | 0.235860i | ||||
\(803\) | 6.12176 | + | 1.64032i | 0.216032 | + | 0.0578857i | ||||
\(804\) | −2.05909 | −0.0726184 | ||||||||
\(805\) | 0.592596 | + | 0.482826i | 0.0208863 | + | 0.0170174i | ||||
\(806\) | −11.2847 | − | 26.9943i | −0.397488 | − | 0.950834i | ||||
\(807\) | 7.21692 | + | 7.21692i | 0.254047 | + | 0.254047i | ||||
\(808\) | −0.164910 | + | 0.164910i | −0.00580152 | + | 0.00580152i | ||||
\(809\) | −25.6091 | − | 44.3563i | −0.900369 | − | 1.55948i | −0.827016 | − | 0.562178i | \(-0.809963\pi\) |
−0.0733529 | − | 0.997306i | \(-0.523370\pi\) | |||||||
\(810\) | −2.22451 | + | 0.227058i | −0.0781613 | + | 0.00797802i | ||||
\(811\) | 9.36541 | − | 16.2214i | 0.328864 | − | 0.569609i | −0.653423 | − | 0.756993i | \(-0.726668\pi\) |
0.982287 | + | 0.187384i | \(0.0600009\pi\) | |||||||
\(812\) | 0.736824 | + | 0.197431i | 0.0258574 | + | 0.00692848i | ||||
\(813\) | 14.9262 | + | 3.99946i | 0.523484 | + | 0.140267i | ||||
\(814\) | 31.3217i | 1.09782i | ||||||||
\(815\) | 24.6068 | + | 11.0442i | 0.861938 | + | 0.386863i | ||||
\(816\) | −4.05878 | + | 7.03001i | −0.142086 | + | 0.246100i | ||||
\(817\) | 2.03422 | + | 7.59182i | 0.0711685 | + | 0.265604i | ||||
\(818\) | −9.17256 | + | 34.2325i | −0.320711 | + | 1.19691i | ||||
\(819\) | −0.440497 | + | 0.762963i | −0.0153922 | + | 0.0266601i | ||||
\(820\) | 3.25982 | − | 20.1894i | 0.113838 | − | 0.705044i | ||||
\(821\) | − | 42.3942i | − | 1.47957i | −0.672844 | − | 0.739784i | \(-0.734928\pi\) | ||
0.672844 | − | 0.739784i | \(-0.265072\pi\) | |||||||
\(822\) | −0.393597 | − | 0.393597i | −0.0137283 | − | 0.0137283i | ||||
\(823\) | −9.83913 | + | 36.7201i | −0.342971 | + | 1.27998i | 0.551994 | + | 0.833848i | \(0.313867\pi\) |
−0.894965 | + | 0.446136i | \(0.852800\pi\) | |||||||
\(824\) | −0.630965 | − | 0.364288i | −0.0219807 | − | 0.0126906i | ||||
\(825\) | −1.04467 | + | 17.8796i | −0.0363707 | + | 0.622488i | ||||
\(826\) | −0.949824 | + | 1.64514i | −0.0330486 | + | 0.0572419i | ||||
\(827\) | −10.3998 | − | 38.8126i | −0.361637 | − | 1.34965i | −0.871924 | − | 0.489642i | \(-0.837127\pi\) |
0.510287 | − | 0.860004i | \(-0.329539\pi\) | |||||||
\(828\) | −1.96955 | + | 0.527738i | −0.0684465 | + | 0.0183402i | ||||
\(829\) | 4.70847 | 0.163532 | 0.0817660 | − | 0.996652i | \(-0.473944\pi\) | ||||
0.0817660 | + | 0.996652i | \(0.473944\pi\) | |||||||
\(830\) | −5.37855 | + | 33.3115i | −0.186692 | + | 1.15626i | ||||
\(831\) | 11.7216 | + | 20.3024i | 0.406617 | + | 0.704281i | ||||
\(832\) | 1.36007 | + | 5.07586i | 0.0471520 | + | 0.175974i | ||||
\(833\) | 40.0185 | + | 40.0185i | 1.38656 | + | 1.38656i | ||||
\(834\) | 5.29995 | − | 3.05993i | 0.183522 | − | 0.105957i | ||||
\(835\) | −3.45132 | − | 33.8128i | −0.119438 | − | 1.17014i | ||||
\(836\) | − | 7.79219i | − | 0.269499i | ||||||
\(837\) | −5.51773 | + | 0.744745i | −0.190721 | + | 0.0257422i | ||||
\(838\) | −23.2478 | + | 23.2478i | −0.803083 | + | 0.803083i | ||||
\(839\) | − | 47.3208i | − | 1.63370i | −0.576853 | − | 0.816848i | \(-0.695719\pi\) | ||
0.576853 | − | 0.816848i | \(-0.304281\pi\) | |||||||
\(840\) | −0.219438 | − | 0.303944i | −0.00757132 | − | 0.0104871i | ||||
\(841\) | −8.29739 | −0.286117 | ||||||||
\(842\) | −18.6036 | + | 4.98481i | −0.641122 | + | 0.171788i | ||||
\(843\) | 3.12862 | − | 11.6762i | 0.107755 | − | 0.402148i | ||||
\(844\) | −22.3728 | + | 12.9170i | −0.770105 | + | 0.444620i | ||||
\(845\) | 25.3339 | + | 20.6412i | 0.871514 | + | 0.710079i | ||||
\(846\) | −4.68581 | + | 8.11605i | −0.161101 | + | 0.279036i | ||||
\(847\) | −0.296488 | + | 0.0794437i | −0.0101874 | + | 0.00272972i | ||||
\(848\) | 1.03619 | − | 0.277645i | 0.0355828 | − | 0.00953438i | ||||
\(849\) | −11.0237 | − | 19.0936i | −0.378333 | − | 0.655292i | ||||
\(850\) | −38.5253 | − | 12.7738i | −1.32141 | − | 0.438136i | ||||
\(851\) | −8.91476 | − | 15.4408i | −0.305594 | − | 0.529304i | ||||
\(852\) | −0.680487 | + | 0.680487i | −0.0233131 | + | 0.0233131i | ||||
\(853\) | −6.02519 | + | 6.02519i | −0.206299 | + | 0.206299i | −0.802692 | − | 0.596394i | \(-0.796600\pi\) |
0.596394 | + | 0.802692i | \(0.296600\pi\) | |||||||
\(854\) | 0.634903 | + | 1.09968i | 0.0217259 | + | 0.0376304i | ||||
\(855\) | 1.72956 | + | 4.54639i | 0.0591497 | + | 0.155483i | ||||
\(856\) | 2.43716 | + | 4.22128i | 0.0833004 | + | 0.144281i | ||||
\(857\) | −14.0657 | + | 3.76888i | −0.480474 | + | 0.128743i | −0.490923 | − | 0.871203i | \(-0.663341\pi\) |
0.0104493 | + | 0.999945i | \(0.496674\pi\) | |||||||
\(858\) | −18.1818 | + | 4.87181i | −0.620717 | + | 0.166321i | ||||
\(859\) | 11.7117 | − | 20.2853i | 0.399599 | − | 0.692126i | −0.594077 | − | 0.804408i | \(-0.702483\pi\) |
0.993676 | + | 0.112282i | \(0.0358159\pi\) | |||||||
\(860\) | 0.820367 | + | 8.03720i | 0.0279743 | + | 0.274066i | ||||
\(861\) | −1.32790 | + | 0.766662i | −0.0452546 | + | 0.0261278i | ||||
\(862\) | 1.65704 | − | 6.18416i | 0.0564391 | − | 0.210633i | ||||
\(863\) | −24.7093 | + | 6.62084i | −0.841114 | + | 0.225376i | −0.653557 | − | 0.756878i | \(-0.726724\pi\) |
−0.187558 | + | 0.982254i | \(0.560057\pi\) | |||||||
\(864\) | 1.00000 | 0.0340207 | ||||||||
\(865\) | 35.8813 | − | 25.9051i | 1.22000 | − | 0.880801i | ||||
\(866\) | 24.4715i | 0.831577i | ||||||||
\(867\) | 34.5738 | − | 34.5738i | 1.17419 | − | 1.17419i | ||||
\(868\) | −0.570658 | − | 0.738693i | −0.0193694 | − | 0.0250729i | ||||
\(869\) | 31.0951i | 1.05483i | ||||||||
\(870\) | −7.88754 | − | 6.42649i | −0.267413 | − | 0.217878i | ||||
\(871\) | 9.37068 | − | 5.41016i | 0.317513 | − | 0.183316i | ||||
\(872\) | 4.67777 | + | 4.67777i | 0.158409 | + | 0.158409i | ||||
\(873\) | 2.27441 | + | 8.48823i | 0.0769773 | + | 0.287283i | ||||
\(874\) | 2.21781 | + | 3.84136i | 0.0750186 | + | 0.129936i | ||||
\(875\) | 1.26671 | − | 1.38160i | 0.0428225 | − | 0.0467067i | ||||
\(876\) | 1.76931 | 0.0597795 | ||||||||
\(877\) | −18.9266 | + | 5.07137i | −0.639106 | + | 0.171248i | −0.563798 | − | 0.825912i | \(-0.690661\pi\) |
−0.0753076 | + | 0.997160i | \(0.523994\pi\) | |||||||
\(878\) | 6.23915 | + | 23.2848i | 0.210561 | + | 0.785825i | ||||
\(879\) | 10.8734 | − | 18.8334i | 0.366752 | − | 0.635233i | ||||
\(880\) | 1.27672 | − | 7.90723i | 0.0430381 | − | 0.266553i | ||||
\(881\) | 3.00549 | + | 1.73522i | 0.101258 | + | 0.0584611i | 0.549774 | − | 0.835314i | \(-0.314714\pi\) |
−0.448516 | + | 0.893775i | \(0.648047\pi\) | |||||||
\(882\) | 1.80446 | − | 6.73433i | 0.0607593 | − | 0.226757i | ||||
\(883\) | 27.7648 | + | 27.7648i | 0.934361 | + | 0.934361i | 0.997975 | − | 0.0636132i | \(-0.0202624\pi\) |
−0.0636132 | + | 0.997975i | \(0.520262\pi\) | |||||||
\(884\) | − | 42.6571i | − | 1.43471i | ||||||
\(885\) | 20.5425 | − | 14.8310i | 0.690527 | − | 0.498538i | ||||
\(886\) | 2.51877 | − | 4.36263i | 0.0846196 | − | 0.146565i | ||||
\(887\) | 0.443926 | − | 1.65675i | 0.0149056 | − | 0.0556284i | −0.958072 | − | 0.286526i | \(-0.907500\pi\) |
0.972978 | + | 0.230898i | \(0.0741662\pi\) | |||||||
\(888\) | 2.26315 | + | 8.44619i | 0.0759463 | + | 0.283436i | ||||
\(889\) | −1.00538 | + | 1.74138i | −0.0337195 | + | 0.0584039i | ||||
\(890\) | 12.1965 | − | 27.1741i | 0.408828 | − | 0.910876i | ||||
\(891\) | 3.58202i | 0.120002i | ||||||||
\(892\) | 3.10140 | + | 0.831017i | 0.103842 | + | 0.0278245i | ||||
\(893\) | 19.6920 | + | 5.27646i | 0.658968 | + | 0.176570i | ||||
\(894\) | 4.89426 | − | 8.47711i | 0.163689 | − | 0.283517i | ||||
\(895\) | 34.4702 | − | 42.3070i | 1.15221 | − | 1.41417i | ||||
\(896\) | 0.0838257 | + | 0.145190i | 0.00280042 | + | 0.00485047i | ||||
\(897\) | 7.57658 | − | 7.57658i | 0.252975 | − | 0.252975i | ||||
\(898\) | −27.0795 | − | 27.0795i | −0.903655 | − | 0.903655i | ||||
\(899\) | −20.1485 | − | 15.3563i | −0.671992 | − | 0.512163i | ||||
\(900\) | 1.01019 | + | 4.89689i | 0.0336729 | + | 0.163230i | ||||
\(901\) | −8.70802 | −0.290106 | ||||||||
\(902\) | −31.6445 | − | 8.47912i | −1.05365 | − | 0.282324i | ||||
\(903\) | 0.428314 | − | 0.428314i | 0.0142534 | − | 0.0142534i | ||||
\(904\) | 9.00741 | + | 5.20043i | 0.299582 | + | 0.172964i | ||||
\(905\) | 1.45263 | − | 8.99673i | 0.0482871 | − | 0.299061i | ||||
\(906\) | −7.92995 | − | 13.7351i | −0.263455 | − | 0.456318i | ||||
\(907\) | −28.5209 | − | 28.5209i | −0.947019 | − | 0.947019i | 0.0516461 | − | 0.998665i | \(-0.483553\pi\) |
−0.998665 | + | 0.0516461i | \(0.983553\pi\) | |||||||
\(908\) | 5.36515 | + | 20.0230i | 0.178049 | + | 0.664487i | ||||
\(909\) | −0.201973 | − | 0.116609i | −0.00669902 | − | 0.00386768i | ||||
\(910\) | 1.79724 | + | 0.806653i | 0.0595779 | + | 0.0267403i | ||||
\(911\) | 4.37116 | − | 2.52369i | 0.144823 | − | 0.0836137i | −0.425838 | − | 0.904800i | \(-0.640021\pi\) |
0.570661 | + | 0.821186i | \(0.306687\pi\) | |||||||
\(912\) | −0.563026 | − | 2.10124i | −0.0186436 | − | 0.0695790i | ||||
\(913\) | 52.2120 | + | 13.9902i | 1.72796 | + | 0.463006i | ||||
\(914\) | −11.4256 | −0.377925 | ||||||||
\(915\) | −1.71976 | − | 16.8486i | −0.0568535 | − | 0.556999i | ||||
\(916\) | −15.0437 | + | 8.68551i | −0.497059 | + | 0.286977i | ||||
\(917\) | −2.26596 | + | 0.607162i | −0.0748286 | + | 0.0200503i | ||||
\(918\) | −7.84096 | − | 2.10098i | −0.258790 | − | 0.0693426i | ||||
\(919\) | −39.0565 | − | 22.5493i | −1.28835 | − | 0.743832i | −0.309994 | − | 0.950739i | \(-0.600327\pi\) |
−0.978361 | + | 0.206907i | \(0.933660\pi\) | |||||||
\(920\) | 1.62116 | + | 4.26145i | 0.0534481 | + | 0.140496i | ||||
\(921\) | 10.7543 | + | 6.20903i | 0.354368 | + | 0.204594i | ||||
\(922\) | −10.9284 | + | 10.9284i | −0.359907 | + | 0.359907i | ||||
\(923\) | 1.30887 | − | 4.88478i | 0.0430820 | − | 0.160784i | ||||
\(924\) | −0.520075 | + | 0.300265i | −0.0171092 | + | 0.00987800i | ||||
\(925\) | −39.0739 | + | 19.6146i | −1.28474 | + | 0.644925i | ||||
\(926\) | − | 35.3164i | − | 1.16057i | ||||||
\(927\) | 0.188569 | − | 0.703750i | 0.00619343 | − | 0.0231142i | ||||
\(928\) | 3.21734 | + | 3.21734i | 0.105615 | + | 0.105615i | ||||
\(929\) | 11.8011 | 0.387181 | 0.193590 | − | 0.981082i | \(-0.437987\pi\) | ||||
0.193590 | + | 0.981082i | \(0.437987\pi\) | |||||||
\(930\) | 2.90954 | + | 12.1051i | 0.0954076 | + | 0.396943i | ||||
\(931\) | −15.1664 | −0.497059 | ||||||||
\(932\) | 15.2535 | + | 15.2535i | 0.499644 | + | 0.499644i | ||||
\(933\) | −3.96677 | + | 14.8042i | −0.129866 | + | 0.484668i | ||||
\(934\) | 9.41810i | 0.308170i | ||||||||
\(935\) | −26.6236 | + | 59.3179i | −0.870685 | + | 1.93990i | ||||
\(936\) | −4.55089 | + | 2.62746i | −0.148751 | + | 0.0858812i | ||||
\(937\) | −4.62640 | + | 17.2659i | −0.151138 | + | 0.564054i | 0.848267 | + | 0.529568i | \(0.177646\pi\) |
−0.999405 | + | 0.0344858i | \(0.989021\pi\) | |||||||
\(938\) | 0.244099 | − | 0.244099i | 0.00797013 | − | 0.00797013i | ||||
\(939\) | −17.6385 | − | 10.1836i | −0.575611 | − | 0.332329i | ||||
\(940\) | 19.1182 | + | 8.58080i | 0.623567 | + | 0.279875i | ||||
\(941\) | 38.5170 | + | 22.2378i | 1.25562 | + | 0.724931i | 0.972220 | − | 0.234071i | \(-0.0752048\pi\) |
0.283398 | + | 0.959002i | \(0.408538\pi\) | |||||||
\(942\) | −8.58484 | − | 2.30030i | −0.279709 | − | 0.0749479i | ||||
\(943\) | 18.0133 | − | 4.82665i | 0.586593 | − | 0.157177i | ||||
\(944\) | −9.81288 | + | 5.66547i | −0.319382 | + | 0.184395i | ||||
\(945\) | 0.236793 | − | 0.290627i | 0.00770287 | − | 0.00945410i | ||||
\(946\) | 12.9419 | 0.420778 | ||||||||
\(947\) | 16.6193 | + | 4.45313i | 0.540055 | + | 0.144707i | 0.518527 | − | 0.855061i | \(-0.326480\pi\) |
0.0215275 | + | 0.999768i | \(0.493147\pi\) | |||||||
\(948\) | 2.24678 | + | 8.38508i | 0.0729719 | + | 0.272335i | ||||
\(949\) | −8.05195 | + | 4.64879i | −0.261377 | + | 0.150906i | ||||
\(950\) | 9.72078 | − | 4.87972i | 0.315384 | − | 0.158319i | ||||
\(951\) | −30.6109 | − | 17.6732i | −0.992627 | − | 0.573094i | ||||
\(952\) | −0.352232 | − | 1.31455i | −0.0114159 | − | 0.0426047i | ||||
\(953\) | −25.9528 | − | 25.9528i | −0.840694 | − | 0.840694i | 0.148255 | − | 0.988949i | \(-0.452634\pi\) |
−0.988949 | + | 0.148255i | \(0.952634\pi\) | |||||||
\(954\) | 0.536369 | + | 0.929019i | 0.0173656 | + | 0.0300781i | ||||
\(955\) | 8.64961 | + | 1.39658i | 0.279895 | + | 0.0451924i | ||||
\(956\) | −6.37732 | − | 3.68195i | −0.206257 | − | 0.119083i | ||||
\(957\) | −11.5246 | + | 11.5246i | −0.372537 | + | 0.372537i | ||||
\(958\) | 22.4785 | + | 6.02310i | 0.726248 | + | 0.194597i | ||||
\(959\) | 0.0933197 | 0.00301345 | ||||||||
\(960\) | −0.227058 | − | 2.22451i | −0.00732828 | − | 0.0717957i | ||||
\(961\) | 8.21861 | + | 29.8907i | 0.265116 | + | 0.964216i | ||||
\(962\) | −32.4914 | − | 32.4914i | −1.04756 | − | 1.04756i | ||||
\(963\) | −3.44666 | + | 3.44666i | −0.111067 | + | 0.111067i | ||||
\(964\) | −8.18934 | − | 14.1843i | −0.263761 | − | 0.456847i | ||||
\(965\) | −3.60999 | − | 35.3673i | −0.116210 | − | 1.13851i | ||||
\(966\) | 0.170923 | − | 0.296047i | 0.00549935 | − | 0.00952515i | ||||
\(967\) | 45.9167 | + | 12.3033i | 1.47658 | + | 0.395649i | 0.905183 | − | 0.425023i | \(-0.139734\pi\) |
0.571400 | + | 0.820672i | \(0.306401\pi\) | |||||||
\(968\) | −1.76848 | − | 0.473862i | −0.0568410 | − | 0.0152305i | ||||
\(969\) | 17.6586i | 0.567277i | ||||||||
\(970\) | 18.3657 | − | 6.98678i | 0.589688 | − | 0.224332i | ||||
\(971\) | 2.20234 | − | 3.81457i | 0.0706765 | − | 0.122415i | −0.828521 | − | 0.559957i | \(-0.810818\pi\) |
0.899198 | + | 0.437542i | \(0.144151\pi\) | |||||||
\(972\) | 0.258819 | + | 0.965926i | 0.00830162 | + | 0.0309821i | ||||
\(973\) | −0.265549 | + | 0.991042i | −0.00851311 | + | 0.0317714i | ||||
\(974\) | 3.68029 | − | 6.37445i | 0.117924 | − | 0.204251i | ||||
\(975\) | −17.4636 | − | 19.6310i | −0.559284 | − | 0.628695i | ||||
\(976\) | 7.57409i | 0.242441i | ||||||||
\(977\) | −25.7722 | − | 25.7722i | −0.824525 | − | 0.824525i | 0.162228 | − | 0.986753i | \(-0.448132\pi\) |
−0.986753 | + | 0.162228i | \(0.948132\pi\) | |||||||
\(978\) | 3.12190 | − | 11.6511i | 0.0998272 | − | 0.372560i | ||||
\(979\) | −41.3219 | − | 23.8572i | −1.32065 | − | 0.762480i | ||||
\(980\) | −15.3903 | − | 2.48495i | −0.491625 | − | 0.0793788i | ||||
\(981\) | −3.30768 | + | 5.72908i | −0.105606 | + | 0.182915i | ||||
\(982\) | −1.55319 | − | 5.79658i | −0.0495643 | − | 0.184976i | ||||
\(983\) | −24.8768 | + | 6.66572i | −0.793447 | + | 0.212604i | −0.632705 | − | 0.774393i | \(-0.718055\pi\) |
−0.160742 | + | 0.986996i | \(0.551389\pi\) | |||||||
\(984\) | −9.14590 | −0.291561 | ||||||||
\(985\) | 31.7311 | − | 22.9089i | 1.01104 | − | 0.729937i | ||||
\(986\) | −18.4675 | − | 31.9866i | −0.588125 | − | 1.01866i | ||||
\(987\) | −0.406647 | − | 1.51763i | −0.0129437 | − | 0.0483066i | ||||
\(988\) | 8.08319 | + | 8.08319i | 0.257160 | + | 0.257160i | ||||
\(989\) | −6.38004 | + | 3.68352i | −0.202874 | + | 0.117129i | ||||
\(990\) | 7.96824 | − | 0.813328i | 0.253247 | − | 0.0258492i | ||||
\(991\) | 20.3884i | 0.647657i | 0.946116 | + | 0.323829i | \(0.104970\pi\) | ||||
−0.946116 | + | 0.323829i | \(0.895030\pi\) | |||||||
\(992\) | −0.744745 | − | 5.51773i | −0.0236457 | − | 0.175188i | ||||
\(993\) | 9.81213 | − | 9.81213i | 0.311378 | − | 0.311378i | ||||
\(994\) | − | 0.161340i | − | 0.00511740i | ||||||
\(995\) | −3.63373 | − | 0.586709i | −0.115197 | − | 0.0185999i | ||||
\(996\) | 15.0903 | 0.478155 | ||||||||
\(997\) | 29.4856 | − | 7.90064i | 0.933818 | − | 0.250216i | 0.240336 | − | 0.970690i | \(-0.422742\pi\) |
0.693482 | + | 0.720474i | \(0.256076\pi\) | |||||||
\(998\) | −3.67017 | + | 13.6973i | −0.116177 | + | 0.433579i | ||||
\(999\) | −7.57265 | + | 4.37207i | −0.239588 | + | 0.138326i |
(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 | 930.2.be.a.37.13 | ✓ | 64 | |
5.3 | odd | 4 | 930.2.be.b.223.9 | yes | 64 | ||
31.26 | odd | 6 | 930.2.be.b.367.9 | yes | 64 | ||
155.88 | even | 12 | inner | 930.2.be.a.553.13 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.be.a.37.13 | ✓ | 64 | 1.1 | even | 1 | trivial | |
930.2.be.a.553.13 | yes | 64 | 155.88 | even | 12 | inner | |
930.2.be.b.223.9 | yes | 64 | 5.3 | odd | 4 | ||
930.2.be.b.367.9 | yes | 64 | 31.26 | odd | 6 |