Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(17,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.br (of order \(6\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.17 | ||
Character | \(\chi\) | \(=\) | 273.17 |
Dual form | 273.2.br.b.257.17 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0763024 | 0.0539540 | 0.0269770 | − | 0.999636i | \(-0.491412\pi\) | ||||
0.0269770 | + | 0.999636i | \(0.491412\pi\) | |||||||
\(3\) | 1.65933 | + | 0.496625i | 0.958012 | + | 0.286727i | ||||
\(4\) | −1.99418 | −0.997089 | ||||||||
\(5\) | −3.58354 | + | 2.06896i | −1.60261 | + | 0.925267i | −0.611646 | + | 0.791132i | \(0.709492\pi\) |
−0.990963 | + | 0.134135i | \(0.957175\pi\) | |||||||
\(6\) | 0.126611 | + | 0.0378937i | 0.0516886 | + | 0.0154700i | ||||
\(7\) | −2.41424 | − | 1.08232i | −0.912499 | − | 0.409080i | ||||
\(8\) | −0.304765 | −0.107751 | ||||||||
\(9\) | 2.50673 | + | 1.64813i | 0.835575 | + | 0.549376i | ||||
\(10\) | −0.273433 | + | 0.157867i | −0.0864671 | + | 0.0499218i | ||||
\(11\) | −0.0185449 | − | 0.0321206i | −0.00559148 | − | 0.00968473i | 0.863216 | − | 0.504835i | \(-0.168447\pi\) |
−0.868808 | + | 0.495150i | \(0.835113\pi\) | |||||||
\(12\) | −3.30899 | − | 0.990360i | −0.955224 | − | 0.285892i | ||||
\(13\) | −2.92881 | + | 2.10287i | −0.812305 | + | 0.583232i | ||||
\(14\) | −0.184213 | − | 0.0825839i | −0.0492329 | − | 0.0220715i | ||||
\(15\) | −6.97376 | + | 1.65340i | −1.80062 | + | 0.426906i | ||||
\(16\) | 3.96510 | 0.991275 | ||||||||
\(17\) | −3.31887 | −0.804944 | −0.402472 | − | 0.915432i | \(-0.631849\pi\) | ||||
−0.402472 | + | 0.915432i | \(0.631849\pi\) | |||||||
\(18\) | 0.191269 | + | 0.125756i | 0.0450826 | + | 0.0296410i | ||||
\(19\) | −0.473870 | + | 0.820767i | −0.108713 | + | 0.188297i | −0.915249 | − | 0.402888i | \(-0.868006\pi\) |
0.806536 | + | 0.591185i | \(0.201340\pi\) | |||||||
\(20\) | 7.14622 | − | 4.12587i | 1.59794 | − | 0.922573i | ||||
\(21\) | −3.46851 | − | 2.99490i | −0.756891 | − | 0.653542i | ||||
\(22\) | −0.00141502 | − | 0.00245088i | −0.000301683 | − | 0.000522530i | ||||
\(23\) | 6.77954i | 1.41363i | 0.707398 | + | 0.706816i | \(0.249869\pi\) | ||||
−0.707398 | + | 0.706816i | \(0.750131\pi\) | |||||||
\(24\) | −0.505705 | − | 0.151354i | −0.103227 | − | 0.0308951i | ||||
\(25\) | 6.06118 | − | 10.4983i | 1.21224 | − | 2.09965i | ||||
\(26\) | −0.223475 | + | 0.160454i | −0.0438271 | + | 0.0314677i | ||||
\(27\) | 3.34097 | + | 3.97968i | 0.642971 | + | 0.765891i | ||||
\(28\) | 4.81443 | + | 2.15835i | 0.909842 | + | 0.407889i | ||||
\(29\) | 2.57400 | + | 1.48610i | 0.477980 | + | 0.275962i | 0.719574 | − | 0.694415i | \(-0.244337\pi\) |
−0.241594 | + | 0.970377i | \(0.577670\pi\) | |||||||
\(30\) | −0.532115 | + | 0.126158i | −0.0971505 | + | 0.0230333i | ||||
\(31\) | 3.10288 | − | 5.37435i | 0.557294 | − | 0.965262i | −0.440427 | − | 0.897789i | \(-0.645173\pi\) |
0.997721 | − | 0.0674734i | \(-0.0214938\pi\) | |||||||
\(32\) | 0.912078 | 0.161234 | ||||||||
\(33\) | −0.0148200 | − | 0.0625084i | −0.00257984 | − | 0.0108813i | ||||
\(34\) | −0.253238 | −0.0434299 | ||||||||
\(35\) | 10.8908 | − | 1.11642i | 1.84089 | − | 0.188709i | ||||
\(36\) | −4.99886 | − | 3.28666i | −0.833143 | − | 0.547776i | ||||
\(37\) | 5.88883i | 0.968118i | 0.875035 | + | 0.484059i | \(0.160838\pi\) | ||||
−0.875035 | + | 0.484059i | \(0.839162\pi\) | |||||||
\(38\) | −0.0361574 | + | 0.0626265i | −0.00586551 | + | 0.0101594i | ||||
\(39\) | −5.90419 | + | 2.03483i | −0.945427 | + | 0.325834i | ||||
\(40\) | 1.09214 | − | 0.630547i | 0.172682 | − | 0.0996983i | ||||
\(41\) | −8.34651 | − | 4.81886i | −1.30351 | − | 0.752579i | −0.322502 | − | 0.946569i | \(-0.604524\pi\) |
−0.981004 | + | 0.193990i | \(0.937857\pi\) | |||||||
\(42\) | −0.264656 | − | 0.228518i | −0.0408372 | − | 0.0352612i | ||||
\(43\) | 3.55641 | + | 6.15988i | 0.542347 | + | 0.939372i | 0.998769 | + | 0.0496088i | \(0.0157974\pi\) |
−0.456422 | + | 0.889763i | \(0.650869\pi\) | |||||||
\(44\) | 0.0369817 | + | 0.0640542i | 0.00557521 | + | 0.00965654i | ||||
\(45\) | −12.3929 | − | 0.719819i | −1.84742 | − | 0.107304i | ||||
\(46\) | 0.517295i | 0.0762710i | ||||||||
\(47\) | −2.84334 | + | 1.64160i | −0.414743 | + | 0.239452i | −0.692826 | − | 0.721105i | \(-0.743634\pi\) |
0.278082 | + | 0.960557i | \(0.410301\pi\) | |||||||
\(48\) | 6.57940 | + | 1.96917i | 0.949654 | + | 0.284225i | ||||
\(49\) | 4.65715 | + | 5.22599i | 0.665307 | + | 0.746570i | ||||
\(50\) | 0.462483 | − | 0.801044i | 0.0654050 | − | 0.113285i | ||||
\(51\) | −5.50709 | − | 1.64824i | −0.771147 | − | 0.230799i | ||||
\(52\) | 5.84057 | − | 4.19351i | 0.809941 | − | 0.581535i | ||||
\(53\) | −7.64979 | − | 4.41661i | −1.05078 | − | 0.606668i | −0.127912 | − | 0.991786i | \(-0.540828\pi\) |
−0.922867 | + | 0.385118i | \(0.874161\pi\) | |||||||
\(54\) | 0.254924 | + | 0.303660i | 0.0346908 | + | 0.0413228i | ||||
\(55\) | 0.132913 | + | 0.0767371i | 0.0179219 | + | 0.0103472i | ||||
\(56\) | 0.735778 | + | 0.329855i | 0.0983225 | + | 0.0440787i | ||||
\(57\) | −1.19392 | + | 1.12658i | −0.158138 | + | 0.149220i | ||||
\(58\) | 0.196403 | + | 0.113393i | 0.0257889 | + | 0.0148892i | ||||
\(59\) | 2.73001i | 0.355417i | 0.984083 | + | 0.177708i | \(0.0568684\pi\) | ||||
−0.984083 | + | 0.177708i | \(0.943132\pi\) | |||||||
\(60\) | 13.9069 | − | 3.29717i | 1.79538 | − | 0.425663i | ||||
\(61\) | 2.19621 | + | 1.26798i | 0.281196 | + | 0.162349i | 0.633965 | − | 0.773362i | \(-0.281426\pi\) |
−0.352769 | + | 0.935711i | \(0.614760\pi\) | |||||||
\(62\) | 0.236757 | − | 0.410076i | 0.0300682 | − | 0.0520797i | ||||
\(63\) | −4.26804 | − | 6.69207i | −0.537723 | − | 0.843122i | ||||
\(64\) | −7.86061 | −0.982576 | ||||||||
\(65\) | 6.14475 | − | 13.5953i | 0.762162 | − | 1.68629i | ||||
\(66\) | −0.00113080 | − | 0.00476955i | −0.000139192 | − | 0.000587090i | ||||
\(67\) | 3.90180 | − | 2.25271i | 0.476681 | − | 0.275212i | −0.242351 | − | 0.970189i | \(-0.577919\pi\) |
0.719032 | + | 0.694977i | \(0.244585\pi\) | |||||||
\(68\) | 6.61842 | 0.802601 | ||||||||
\(69\) | −3.36689 | + | 11.2495i | −0.405326 | + | 1.35428i | ||||
\(70\) | 0.830997 | − | 0.0851854i | 0.0993231 | − | 0.0101816i | ||||
\(71\) | 1.17534 | + | 2.03574i | 0.139487 | + | 0.241598i | 0.927302 | − | 0.374313i | \(-0.122121\pi\) |
−0.787816 | + | 0.615911i | \(0.788788\pi\) | |||||||
\(72\) | −0.763964 | − | 0.502292i | −0.0900340 | − | 0.0591957i | ||||
\(73\) | −3.31007 | + | 5.73321i | −0.387415 | + | 0.671022i | −0.992101 | − | 0.125442i | \(-0.959965\pi\) |
0.604686 | + | 0.796464i | \(0.293298\pi\) | |||||||
\(74\) | 0.449332i | 0.0522338i | ||||||||
\(75\) | 15.2712 | − | 14.4099i | 1.76336 | − | 1.66391i | ||||
\(76\) | 0.944981 | − | 1.63676i | 0.108397 | − | 0.187749i | ||||
\(77\) | 0.0100069 | + | 0.0976186i | 0.00114039 | + | 0.0111247i | ||||
\(78\) | −0.450504 | + | 0.155263i | −0.0510095 | + | 0.0175800i | ||||
\(79\) | −3.29565 | − | 5.70824i | −0.370790 | − | 0.642227i | 0.618897 | − | 0.785472i | \(-0.287580\pi\) |
−0.989687 | + | 0.143245i | \(0.954246\pi\) | |||||||
\(80\) | −14.2091 | + | 8.20363i | −1.58863 | + | 0.917194i | ||||
\(81\) | 3.56735 | + | 8.26281i | 0.396373 | + | 0.918090i | ||||
\(82\) | −0.636859 | − | 0.367691i | −0.0703293 | − | 0.0406046i | ||||
\(83\) | 0.309176i | 0.0339364i | 0.999856 | + | 0.0169682i | \(0.00540141\pi\) | ||||
−0.999856 | + | 0.0169682i | \(0.994599\pi\) | |||||||
\(84\) | 6.91682 | + | 5.97237i | 0.754687 | + | 0.651639i | ||||
\(85\) | 11.8933 | − | 6.86661i | 1.29001 | − | 0.744788i | ||||
\(86\) | 0.271362 | + | 0.470013i | 0.0292618 | + | 0.0506829i | ||||
\(87\) | 3.53307 | + | 3.74424i | 0.378785 | + | 0.401425i | ||||
\(88\) | 0.00565183 | + | 0.00978926i | 0.000602487 | + | 0.00104354i | ||||
\(89\) | 8.00037i | 0.848037i | 0.905653 | + | 0.424019i | \(0.139381\pi\) | ||||
−0.905653 | + | 0.424019i | \(0.860619\pi\) | |||||||
\(90\) | −0.945606 | − | 0.0549239i | −0.0996756 | − | 0.00578949i | ||||
\(91\) | 9.34685 | − | 1.90693i | 0.979816 | − | 0.199901i | ||||
\(92\) | − | 13.5196i | − | 1.40952i | ||||||
\(93\) | 7.81773 | − | 7.37683i | 0.810661 | − | 0.764942i | ||||
\(94\) | −0.216954 | + | 0.125258i | −0.0223770 | + | 0.0129194i | ||||
\(95\) | − | 3.92167i | − | 0.402355i | ||||||
\(96\) | 1.51343 | + | 0.452961i | 0.154464 | + | 0.0462301i | ||||
\(97\) | −0.694937 | − | 1.20367i | −0.0705602 | − | 0.122214i | 0.828587 | − | 0.559861i | \(-0.189145\pi\) |
−0.899147 | + | 0.437647i | \(0.855812\pi\) | |||||||
\(98\) | 0.355352 | + | 0.398756i | 0.0358960 | + | 0.0402804i | ||||
\(99\) | 0.00645201 | − | 0.111082i | 0.000648451 | − | 0.0111641i | ||||
\(100\) | −12.0871 | + | 20.9354i | −1.20871 | + | 2.09354i | ||||
\(101\) | −3.75352 | − | 6.50129i | −0.373489 | − | 0.646903i | 0.616610 | − | 0.787269i | \(-0.288505\pi\) |
−0.990100 | + | 0.140366i | \(0.955172\pi\) | |||||||
\(102\) | −0.420204 | − | 0.125764i | −0.0416064 | − | 0.0124525i | ||||
\(103\) | −11.5199 | + | 6.65101i | −1.13509 | + | 0.655343i | −0.945209 | − | 0.326465i | \(-0.894143\pi\) |
−0.189878 | + | 0.981808i | \(0.560809\pi\) | |||||||
\(104\) | 0.892600 | − | 0.640883i | 0.0875266 | − | 0.0628438i | ||||
\(105\) | 18.6259 | + | 3.55616i | 1.81770 | + | 0.347046i | ||||
\(106\) | −0.583698 | − | 0.336998i | −0.0566937 | − | 0.0327321i | ||||
\(107\) | − | 8.02066i | − | 0.775386i | −0.921788 | − | 0.387693i | \(-0.873272\pi\) | ||
0.921788 | − | 0.387693i | \(-0.126728\pi\) | |||||||
\(108\) | −6.66250 | − | 7.93620i | −0.641099 | − | 0.763661i | ||||
\(109\) | 3.71726 | + | 2.14616i | 0.356049 | + | 0.205565i | 0.667346 | − | 0.744748i | \(-0.267430\pi\) |
−0.311297 | + | 0.950313i | \(0.600763\pi\) | |||||||
\(110\) | 0.0101415 | + | 0.00585522i | 0.000966958 | + | 0.000558274i | ||||
\(111\) | −2.92454 | + | 9.77149i | −0.277585 | + | 0.927469i | ||||
\(112\) | −9.57272 | − | 4.29152i | −0.904537 | − | 0.405511i | ||||
\(113\) | 3.68260 | − | 2.12615i | 0.346430 | − | 0.200011i | −0.316682 | − | 0.948532i | \(-0.602569\pi\) |
0.663112 | + | 0.748521i | \(0.269235\pi\) | |||||||
\(114\) | −0.0910989 | + | 0.0859611i | −0.00853219 | + | 0.00805099i | ||||
\(115\) | −14.0266 | − | 24.2948i | −1.30799 | − | 2.26550i | ||||
\(116\) | −5.13302 | − | 2.96355i | −0.476589 | − | 0.275159i | ||||
\(117\) | −10.8075 | + | 0.444281i | −0.999156 | + | 0.0410738i | ||||
\(118\) | 0.208306i | 0.0191761i | ||||||||
\(119\) | 8.01256 | + | 3.59209i | 0.734510 | + | 0.329287i | ||||
\(120\) | 2.12536 | − | 0.503899i | 0.194018 | − | 0.0459995i | ||||
\(121\) | 5.49931 | − | 9.52509i | 0.499937 | − | 0.865917i | ||||
\(122\) | 0.167576 | + | 0.0967503i | 0.0151717 | + | 0.00875936i | ||||
\(123\) | −11.4564 | − | 12.1411i | −1.03299 | − | 1.09473i | ||||
\(124\) | −6.18770 | + | 10.7174i | −0.555672 | + | 0.962452i | ||||
\(125\) | 29.4718i | 2.63603i | ||||||||
\(126\) | −0.325662 | − | 0.510621i | −0.0290123 | − | 0.0454898i | ||||
\(127\) | −5.97807 | + | 10.3543i | −0.530468 | + | 0.918797i | 0.468901 | + | 0.883251i | \(0.344650\pi\) |
−0.999368 | + | 0.0355457i | \(0.988683\pi\) | |||||||
\(128\) | −2.42394 | −0.214248 | ||||||||
\(129\) | 2.84209 | + | 11.9874i | 0.250232 | + | 1.05544i | ||||
\(130\) | 0.468859 | − | 1.03736i | 0.0411217 | − | 0.0909821i | ||||
\(131\) | 3.77629 | + | 6.54072i | 0.329936 | + | 0.571466i | 0.982499 | − | 0.186269i | \(-0.0596395\pi\) |
−0.652563 | + | 0.757735i | \(0.726306\pi\) | |||||||
\(132\) | 0.0295538 | + | 0.124653i | 0.00257233 | + | 0.0108496i | ||||
\(133\) | 2.03237 | − | 1.46865i | 0.176229 | − | 0.127348i | ||||
\(134\) | 0.297717 | − | 0.171887i | 0.0257188 | − | 0.0148488i | ||||
\(135\) | −20.2063 | − | 7.34903i | −1.73908 | − | 0.632504i | ||||
\(136\) | 1.01148 | 0.0867334 | ||||||||
\(137\) | 2.16128 | 0.184650 | 0.0923252 | − | 0.995729i | \(-0.470570\pi\) | ||||
0.0923252 | + | 0.995729i | \(0.470570\pi\) | |||||||
\(138\) | −0.256902 | + | 0.858362i | −0.0218690 | + | 0.0730686i | ||||
\(139\) | −11.8956 | + | 6.86795i | −1.00898 | + | 0.582532i | −0.910892 | − | 0.412646i | \(-0.864605\pi\) |
−0.0980840 | + | 0.995178i | \(0.531271\pi\) | |||||||
\(140\) | −21.7183 | + | 2.22634i | −1.83553 | + | 0.188160i | ||||
\(141\) | −5.53328 | + | 1.31188i | −0.465987 | + | 0.110480i | ||||
\(142\) | 0.0896811 | + | 0.155332i | 0.00752587 | + | 0.0130352i | ||||
\(143\) | 0.121860 | + | 0.0550777i | 0.0101904 | + | 0.00460583i | ||||
\(144\) | 9.93942 | + | 6.53499i | 0.828285 | + | 0.544583i | ||||
\(145\) | −12.2987 | −1.02135 | ||||||||
\(146\) | −0.252566 | + | 0.437458i | −0.0209025 | + | 0.0362043i | ||||
\(147\) | 5.13237 | + | 10.9845i | 0.423311 | + | 0.905985i | ||||
\(148\) | − | 11.7434i | − | 0.965300i | ||||||
\(149\) | −10.9313 | + | 18.9336i | −0.895530 | + | 1.55110i | −0.0623837 | + | 0.998052i | \(0.519870\pi\) |
−0.833147 | + | 0.553052i | \(0.813463\pi\) | |||||||
\(150\) | 1.16523 | − | 1.09951i | 0.0951405 | − | 0.0897748i | ||||
\(151\) | −5.45857 | − | 3.15150i | −0.444212 | − | 0.256466i | 0.261171 | − | 0.965293i | \(-0.415891\pi\) |
−0.705383 | + | 0.708827i | \(0.749225\pi\) | |||||||
\(152\) | 0.144419 | − | 0.250141i | 0.0117139 | − | 0.0202891i | ||||
\(153\) | −8.31950 | − | 5.46992i | −0.672592 | − | 0.442217i | ||||
\(154\) | 0.000763549 | 0.00744853i | 6.15285e−5 | 0.000600220i | ||||||
\(155\) | 25.6789i | 2.06258i | ||||||||
\(156\) | 11.7740 | − | 4.05782i | 0.942675 | − | 0.324886i | ||||
\(157\) | 7.64287 | + | 4.41261i | 0.609967 | + | 0.352165i | 0.772953 | − | 0.634464i | \(-0.218779\pi\) |
−0.162985 | + | 0.986628i | \(0.552112\pi\) | |||||||
\(158\) | −0.251466 | − | 0.435552i | −0.0200056 | − | 0.0346507i | ||||
\(159\) | −10.5001 | − | 11.1277i | −0.832712 | − | 0.882482i | ||||
\(160\) | −3.26847 | + | 1.88705i | −0.258395 | + | 0.149185i | ||||
\(161\) | 7.33766 | − | 16.3675i | 0.578289 | − | 1.28994i | ||||
\(162\) | 0.272198 | + | 0.630472i | 0.0213859 | + | 0.0495346i | ||||
\(163\) | 15.0458 | + | 8.68669i | 1.17848 | + | 0.680394i | 0.955662 | − | 0.294467i | \(-0.0951420\pi\) |
0.222815 | + | 0.974861i | \(0.428475\pi\) | |||||||
\(164\) | 16.6444 | + | 9.60966i | 1.29971 | + | 0.750388i | ||||
\(165\) | 0.182436 | + | 0.193340i | 0.0142026 | + | 0.0150515i | ||||
\(166\) | 0.0235908i | 0.00183100i | ||||||||
\(167\) | 13.3145 | + | 7.68711i | 1.03030 | + | 0.594846i | 0.917072 | − | 0.398723i | \(-0.130546\pi\) |
0.113232 | + | 0.993569i | \(0.463880\pi\) | |||||||
\(168\) | 1.05708 | + | 0.912743i | 0.0815556 | + | 0.0704197i | ||||
\(169\) | 4.15584 | − | 12.3178i | 0.319680 | − | 0.947526i | ||||
\(170\) | 0.907488 | − | 0.523939i | 0.0696012 | − | 0.0401843i | ||||
\(171\) | −2.54059 | + | 1.27644i | −0.194284 | + | 0.0976118i | ||||
\(172\) | −7.09211 | − | 12.2839i | −0.540768 | − | 0.936638i | ||||
\(173\) | 2.35467 | − | 4.07841i | 0.179022 | − | 0.310076i | −0.762524 | − | 0.646960i | \(-0.776040\pi\) |
0.941546 | + | 0.336885i | \(0.109373\pi\) | |||||||
\(174\) | 0.269582 | + | 0.285695i | 0.0204370 | + | 0.0216585i | ||||
\(175\) | −25.9957 | + | 18.7852i | −1.96509 | + | 1.42003i | ||||
\(176\) | −0.0735322 | − | 0.127362i | −0.00554270 | − | 0.00960024i | ||||
\(177\) | −1.35579 | + | 4.52997i | −0.101908 | + | 0.340494i | ||||
\(178\) | 0.610447i | 0.0457550i | ||||||||
\(179\) | 16.9482 | − | 9.78504i | 1.26677 | − | 0.731368i | 0.292392 | − | 0.956299i | \(-0.405549\pi\) |
0.974375 | + | 0.224931i | \(0.0722155\pi\) | |||||||
\(180\) | 24.7136 | + | 1.43545i | 1.84204 | + | 0.106992i | ||||
\(181\) | − | 4.76173i | − | 0.353937i | −0.984217 | − | 0.176968i | \(-0.943371\pi\) | ||
0.984217 | − | 0.176968i | \(-0.0566290\pi\) | |||||||
\(182\) | 0.713187 | − | 0.145504i | 0.0528650 | − | 0.0107854i | ||||
\(183\) | 3.01452 | + | 3.19469i | 0.222840 | + | 0.236159i | ||||
\(184\) | − | 2.06617i | − | 0.152320i | ||||||
\(185\) | −12.1838 | − | 21.1029i | −0.895767 | − | 1.55151i | ||||
\(186\) | 0.596512 | − | 0.562870i | 0.0437384 | − | 0.0412716i | ||||
\(187\) | 0.0615480 | + | 0.106604i | 0.00450083 | + | 0.00779567i | ||||
\(188\) | 5.67012 | − | 3.27365i | 0.413536 | − | 0.238755i | ||||
\(189\) | −3.75862 | − | 13.2239i | −0.273399 | − | 0.961901i | ||||
\(190\) | − | 0.299233i | − | 0.0217086i | ||||||
\(191\) | −8.37294 | − | 4.83412i | −0.605844 | − | 0.349784i | 0.165493 | − | 0.986211i | \(-0.447078\pi\) |
−0.771337 | + | 0.636427i | \(0.780412\pi\) | |||||||
\(192\) | −13.0433 | − | 3.90378i | −0.941320 | − | 0.281731i | ||||
\(193\) | 0.117155 | − | 0.0676397i | 0.00843303 | − | 0.00486881i | −0.495778 | − | 0.868450i | \(-0.665117\pi\) |
0.504211 | + | 0.863581i | \(0.331784\pi\) | |||||||
\(194\) | −0.0530254 | − | 0.0918426i | −0.00380700 | − | 0.00659392i | ||||
\(195\) | 16.9479 | − | 19.5074i | 1.21367 | − | 1.39696i | ||||
\(196\) | −9.28719 | − | 10.4216i | −0.663370 | − | 0.744397i | ||||
\(197\) | 7.21464 | − | 12.4961i | 0.514022 | − | 0.890312i | −0.485846 | − | 0.874045i | \(-0.661488\pi\) |
0.999868 | − | 0.0162677i | \(-0.00517839\pi\) | |||||||
\(198\) | 0.000492304 | − | 0.00847582i | 3.49865e−5 | − | 0.000602350i | ||||
\(199\) | 8.42233i | 0.597043i | 0.954403 | + | 0.298522i | \(0.0964935\pi\) | ||||
−0.954403 | + | 0.298522i | \(0.903506\pi\) | |||||||
\(200\) | −1.84724 | + | 3.19951i | −0.130620 | + | 0.226240i | ||||
\(201\) | 7.59312 | − | 1.80024i | 0.535577 | − | 0.126979i | ||||
\(202\) | −0.286403 | − | 0.496064i | −0.0201512 | − | 0.0349030i | ||||
\(203\) | −4.60583 | − | 6.37372i | −0.323266 | − | 0.447347i | ||||
\(204\) | 10.9821 | + | 3.28687i | 0.768902 | + | 0.230127i | ||||
\(205\) | 39.8801 | 2.78535 | ||||||||
\(206\) | −0.878995 | + | 0.507488i | −0.0612425 | + | 0.0353584i | ||||
\(207\) | −11.1735 | + | 16.9945i | −0.776615 | + | 1.18120i | ||||
\(208\) | −11.6130 | + | 8.33811i | −0.805218 | + | 0.578144i | ||||
\(209\) | 0.0351514 | 0.00243147 | ||||||||
\(210\) | 1.42120 | + | 0.271344i | 0.0980721 | + | 0.0187245i | ||||
\(211\) | −5.96070 | + | 10.3242i | −0.410351 | + | 0.710750i | −0.994928 | − | 0.100589i | \(-0.967927\pi\) |
0.584577 | + | 0.811339i | \(0.301261\pi\) | |||||||
\(212\) | 15.2550 | + | 8.80750i | 1.04772 | + | 0.604902i | ||||
\(213\) | 0.939265 | + | 3.96166i | 0.0643574 | + | 0.271449i | ||||
\(214\) | − | 0.611996i | − | 0.0418352i | ||||||
\(215\) | −25.4891 | − | 14.7161i | −1.73834 | − | 1.00363i | ||||
\(216\) | −1.01821 | − | 1.21287i | −0.0692807 | − | 0.0825254i | ||||
\(217\) | −13.3079 | + | 9.61667i | −0.903400 | + | 0.652822i | ||||
\(218\) | 0.283636 | + | 0.163757i | 0.0192103 | + | 0.0110910i | ||||
\(219\) | −8.33975 | + | 7.86940i | −0.563548 | + | 0.531765i | ||||
\(220\) | −0.265051 | − | 0.153027i | −0.0178697 | − | 0.0103171i | ||||
\(221\) | 9.72034 | − | 6.97917i | 0.653861 | − | 0.469470i | ||||
\(222\) | −0.223150 | + | 0.745589i | −0.0149768 | + | 0.0500406i | ||||
\(223\) | 0.0298964 | − | 0.0517820i | 0.00200201 | − | 0.00346758i | −0.865023 | − | 0.501733i | \(-0.832696\pi\) |
0.867025 | + | 0.498265i | \(0.166029\pi\) | |||||||
\(224\) | −2.20198 | − | 0.987164i | −0.147126 | − | 0.0659576i | ||||
\(225\) | 32.4962 | − | 16.3267i | 2.16641 | − | 1.08845i | ||||
\(226\) | 0.280991 | − | 0.162230i | 0.0186913 | − | 0.0107914i | ||||
\(227\) | 10.6269i | 0.705335i | 0.935749 | + | 0.352668i | \(0.114725\pi\) | ||||
−0.935749 | + | 0.352668i | \(0.885275\pi\) | |||||||
\(228\) | 2.38089 | − | 2.24661i | 0.157678 | − | 0.148785i | ||||
\(229\) | 7.42263 | + | 12.8564i | 0.490501 | + | 0.849573i | 0.999940 | − | 0.0109335i | \(-0.00348031\pi\) |
−0.509439 | + | 0.860507i | \(0.670147\pi\) | |||||||
\(230\) | −1.07026 | − | 1.85375i | −0.0705710 | − | 0.122233i | ||||
\(231\) | −0.0318752 | + | 0.166951i | −0.00209723 | + | 0.0109845i | ||||
\(232\) | −0.784467 | − | 0.452912i | −0.0515028 | − | 0.0297352i | ||||
\(233\) | 11.1927 | − | 6.46212i | 0.733260 | − | 0.423348i | −0.0863536 | − | 0.996265i | \(-0.527521\pi\) |
0.819614 | + | 0.572917i | \(0.194188\pi\) | |||||||
\(234\) | −0.824640 | + | 0.0338997i | −0.0539084 | + | 0.00221610i | ||||
\(235\) | 6.79281 | − | 11.7655i | 0.443114 | − | 0.767496i | ||||
\(236\) | − | 5.44412i | − | 0.354382i | ||||||
\(237\) | −2.63371 | − | 11.1085i | −0.171078 | − | 0.721577i | ||||
\(238\) | 0.611378 | + | 0.274085i | 0.0396297 | + | 0.0177663i | ||||
\(239\) | −20.5968 | −1.33230 | −0.666149 | − | 0.745818i | \(-0.732059\pi\) | ||||
−0.666149 | + | 0.745818i | \(0.732059\pi\) | |||||||
\(240\) | −27.6517 | + | 6.55590i | −1.78491 | + | 0.423181i | ||||
\(241\) | 4.02420 | 0.259222 | 0.129611 | − | 0.991565i | \(-0.458627\pi\) | ||||
0.129611 | + | 0.991565i | \(0.458627\pi\) | |||||||
\(242\) | 0.419611 | − | 0.726787i | 0.0269736 | − | 0.0467197i | ||||
\(243\) | 1.81588 | + | 15.4823i | 0.116489 | + | 0.993192i | ||||
\(244\) | −4.37964 | − | 2.52859i | −0.280378 | − | 0.161876i | ||||
\(245\) | −27.5014 | − | 9.09210i | −1.75700 | − | 0.580873i | ||||
\(246\) | −0.874152 | − | 0.926399i | −0.0557339 | − | 0.0590650i | ||||
\(247\) | −0.338095 | − | 3.40036i | −0.0215125 | − | 0.216360i | ||||
\(248\) | −0.945652 | + | 1.63792i | −0.0600489 | + | 0.104008i | ||||
\(249\) | −0.153544 | + | 0.513023i | −0.00973048 | + | 0.0325115i | ||||
\(250\) | 2.24877i | 0.142224i | ||||||||
\(251\) | −8.05407 | − | 13.9501i | −0.508368 | − | 0.880519i | −0.999953 | − | 0.00968975i | \(-0.996916\pi\) |
0.491585 | − | 0.870830i | \(-0.336418\pi\) | |||||||
\(252\) | 8.51123 | + | 13.3452i | 0.536157 | + | 0.840667i | ||||
\(253\) | 0.217763 | − | 0.125726i | 0.0136906 | − | 0.00790430i | ||||
\(254\) | −0.456141 | + | 0.790059i | −0.0286208 | + | 0.0495727i | ||||
\(255\) | 23.1450 | − | 5.48742i | 1.44940 | − | 0.343635i | ||||
\(256\) | 15.5363 | 0.971017 | ||||||||
\(257\) | 20.9666 | 1.30786 | 0.653929 | − | 0.756556i | \(-0.273119\pi\) | ||||
0.653929 | + | 0.756556i | \(0.273119\pi\) | |||||||
\(258\) | 0.216858 | + | 0.914671i | 0.0135010 | + | 0.0569449i | ||||
\(259\) | 6.37362 | − | 14.2171i | 0.396038 | − | 0.883406i | ||||
\(260\) | −12.2537 | + | 27.1115i | −0.759943 | + | 1.68138i | ||||
\(261\) | 4.00304 | + | 7.96753i | 0.247782 | + | 0.493178i | ||||
\(262\) | 0.288140 | + | 0.499073i | 0.0178013 | + | 0.0308328i | ||||
\(263\) | −14.2597 | + | 8.23284i | −0.879291 | + | 0.507659i | −0.870424 | − | 0.492302i | \(-0.836156\pi\) |
−0.00886615 | + | 0.999961i | \(0.502822\pi\) | |||||||
\(264\) | 0.00451663 | + | 0.0190504i | 0.000277980 | + | 0.00117247i | ||||
\(265\) | 36.5511 | 2.24532 | ||||||||
\(266\) | 0.155075 | − | 0.112062i | 0.00950826 | − | 0.00687094i | ||||
\(267\) | −3.97319 | + | 13.2752i | −0.243155 | + | 0.812430i | ||||
\(268\) | −7.78089 | + | 4.49230i | −0.475294 | + | 0.274411i | ||||
\(269\) | 30.5671 | 1.86371 | 0.931855 | − | 0.362830i | \(-0.118189\pi\) | ||||
0.931855 | + | 0.362830i | \(0.118189\pi\) | |||||||
\(270\) | −1.54179 | − | 0.560749i | −0.0938305 | − | 0.0341261i | ||||
\(271\) | 4.51877 | 0.274496 | 0.137248 | − | 0.990537i | \(-0.456174\pi\) | ||||
0.137248 | + | 0.990537i | \(0.456174\pi\) | |||||||
\(272\) | −13.1597 | −0.797921 | ||||||||
\(273\) | 16.4565 | + | 1.47766i | 0.995993 | + | 0.0894321i | ||||
\(274\) | 0.164911 | 0.00996262 | ||||||||
\(275\) | −0.449615 | −0.0271128 | ||||||||
\(276\) | 6.71418 | − | 22.4334i | 0.404146 | − | 1.35033i | ||||
\(277\) | −1.64751 | −0.0989895 | −0.0494947 | − | 0.998774i | \(-0.515761\pi\) | ||||
−0.0494947 | + | 0.998774i | \(0.515761\pi\) | |||||||
\(278\) | −0.907667 | + | 0.524042i | −0.0544382 | + | 0.0314299i | ||||
\(279\) | 16.6357 | − | 8.35808i | 0.995953 | − | 0.500385i | ||||
\(280\) | −3.31915 | + | 0.340246i | −0.198357 | + | 0.0203336i | ||||
\(281\) | −7.59486 | −0.453071 | −0.226536 | − | 0.974003i | \(-0.572740\pi\) | ||||
−0.226536 | + | 0.974003i | \(0.572740\pi\) | |||||||
\(282\) | −0.422203 | + | 0.100100i | −0.0251418 | + | 0.00596084i | ||||
\(283\) | −11.5578 | + | 6.67289i | −0.687038 | + | 0.396662i | −0.802502 | − | 0.596650i | \(-0.796498\pi\) |
0.115463 | + | 0.993312i | \(0.463165\pi\) | |||||||
\(284\) | −2.34383 | − | 4.05963i | −0.139081 | − | 0.240895i | ||||
\(285\) | 1.94760 | − | 6.50733i | 0.115366 | − | 0.385461i | ||||
\(286\) | 0.00929821 | + | 0.00420256i | 0.000549815 | + | 0.000248503i | ||||
\(287\) | 14.9349 | + | 20.6675i | 0.881582 | + | 1.21997i | ||||
\(288\) | 2.28633 | + | 1.50322i | 0.134723 | + | 0.0885781i | ||||
\(289\) | −5.98510 | −0.352065 | ||||||||
\(290\) | −0.938423 | −0.0551061 | ||||||||
\(291\) | −0.555356 | − | 2.34240i | −0.0325555 | − | 0.137314i | ||||
\(292\) | 6.60087 | − | 11.4330i | 0.386287 | − | 0.669068i | ||||
\(293\) | 21.0976 | − | 12.1807i | 1.23253 | − | 0.711603i | 0.264976 | − | 0.964255i | \(-0.414636\pi\) |
0.967557 | + | 0.252652i | \(0.0813026\pi\) | |||||||
\(294\) | 0.391612 | + | 0.838142i | 0.0228393 | + | 0.0488815i | ||||
\(295\) | −5.64827 | − | 9.78310i | −0.328855 | − | 0.569594i | ||||
\(296\) | − | 1.79471i | − | 0.104316i | ||||||
\(297\) | 0.0658721 | − | 0.181117i | 0.00382229 | − | 0.0105095i | ||||
\(298\) | −0.834088 | + | 1.44468i | −0.0483174 | + | 0.0836882i | ||||
\(299\) | −14.2565 | − | 19.8560i | −0.824476 | − | 1.14830i | ||||
\(300\) | −30.4535 | + | 28.7360i | −1.75823 | + | 1.65907i | ||||
\(301\) | −1.91905 | − | 18.7206i | −0.110612 | − | 1.07904i | ||||
\(302\) | −0.416502 | − | 0.240467i | −0.0239670 | − | 0.0138373i | ||||
\(303\) | −2.99961 | − | 12.6519i | −0.172323 | − | 0.726830i | ||||
\(304\) | −1.87894 | + | 3.25442i | −0.107765 | + | 0.186654i | ||||
\(305\) | −10.4936 | −0.600863 | ||||||||
\(306\) | −0.634798 | − | 0.417368i | −0.0362890 | − | 0.0238593i | ||||
\(307\) | −21.7786 | −1.24297 | −0.621485 | − | 0.783426i | \(-0.713470\pi\) | ||||
−0.621485 | + | 0.783426i | \(0.713470\pi\) | |||||||
\(308\) | −0.0199555 | − | 0.194669i | −0.00113707 | − | 0.0110923i | ||||
\(309\) | −22.4183 | + | 5.31512i | −1.27533 | + | 0.302367i | ||||
\(310\) | 1.95937i | 0.111285i | ||||||||
\(311\) | 5.12391 | − | 8.87487i | 0.290550 | − | 0.503247i | −0.683390 | − | 0.730054i | \(-0.739495\pi\) |
0.973940 | + | 0.226806i | \(0.0728284\pi\) | |||||||
\(312\) | 1.79939 | − | 0.620147i | 0.101871 | − | 0.0351089i | ||||
\(313\) | −5.90944 | + | 3.41182i | −0.334022 | + | 0.192847i | −0.657625 | − | 0.753345i | \(-0.728439\pi\) |
0.323604 | + | 0.946193i | \(0.395106\pi\) | |||||||
\(314\) | 0.583169 | + | 0.336693i | 0.0329101 | + | 0.0190007i | ||||
\(315\) | 29.1403 | + | 15.1509i | 1.64187 | + | 0.853657i | ||||
\(316\) | 6.57212 | + | 11.3832i | 0.369711 | + | 0.640357i | ||||
\(317\) | 8.75108 | + | 15.1573i | 0.491509 | + | 0.851319i | 0.999952 | − | 0.00977653i | \(-0.00311202\pi\) |
−0.508443 | + | 0.861096i | \(0.669779\pi\) | |||||||
\(318\) | −0.801183 | − | 0.849069i | −0.0449281 | − | 0.0476134i | ||||
\(319\) | − | 0.110238i | − | 0.00617215i | ||||||
\(320\) | 28.1688 | − | 16.2633i | 1.57469 | − | 0.909145i | ||||
\(321\) | 3.98326 | − | 13.3089i | 0.222324 | − | 0.742830i | ||||
\(322\) | 0.559881 | − | 1.24888i | 0.0312010 | − | 0.0695972i | ||||
\(323\) | 1.57271 | − | 2.72402i | 0.0875081 | − | 0.151568i | ||||
\(324\) | −7.11394 | − | 16.4775i | −0.395219 | − | 0.915417i | ||||
\(325\) | 4.32451 | + | 43.4933i | 0.239881 | + | 2.41258i | ||||
\(326\) | 1.14803 | + | 0.662815i | 0.0635835 | + | 0.0367099i | ||||
\(327\) | 5.10231 | + | 5.40727i | 0.282158 | + | 0.299023i | ||||
\(328\) | 2.54373 | + | 1.46862i | 0.140454 | + | 0.0810911i | ||||
\(329\) | 8.64125 | − | 0.885815i | 0.476408 | − | 0.0488365i | ||||
\(330\) | 0.0139203 | + | 0.0147523i | 0.000766286 | + | 0.000812086i | ||||
\(331\) | 4.73450 | + | 2.73346i | 0.260232 | + | 0.150245i | 0.624440 | − | 0.781073i | \(-0.285327\pi\) |
−0.364209 | + | 0.931317i | \(0.618660\pi\) | |||||||
\(332\) | − | 0.616551i | − | 0.0338376i | ||||||
\(333\) | −9.70554 | + | 14.7617i | −0.531861 | + | 0.808936i | ||||
\(334\) | 1.01593 | + | 0.586545i | 0.0555890 | + | 0.0320943i | ||||
\(335\) | −9.32152 | + | 16.1453i | −0.509289 | + | 0.882114i | ||||
\(336\) | −13.7530 | − | 11.8751i | −0.750287 | − | 0.647840i | ||||
\(337\) | 6.33977 | 0.345349 | 0.172675 | − | 0.984979i | \(-0.444759\pi\) | ||||
0.172675 | + | 0.984979i | \(0.444759\pi\) | |||||||
\(338\) | 0.317101 | − | 0.939880i | 0.0172480 | − | 0.0511228i | ||||
\(339\) | 7.16653 | − | 1.69910i | 0.389233 | − | 0.0922826i | ||||
\(340\) | −23.7174 | + | 13.6932i | −1.28626 | + | 0.742620i | ||||
\(341\) | −0.230170 | −0.0124644 | ||||||||
\(342\) | −0.193853 | + | 0.0973955i | −0.0104824 | + | 0.00526654i | ||||
\(343\) | −5.58728 | − | 17.6574i | −0.301685 | − | 0.953408i | ||||
\(344\) | −1.08387 | − | 1.87732i | −0.0584383 | − | 0.101218i | ||||
\(345\) | −11.2093 | − | 47.2789i | −0.603488 | − | 2.54541i | ||||
\(346\) | 0.179667 | − | 0.311193i | 0.00965897 | − | 0.0167298i | ||||
\(347\) | 24.9671i | 1.34030i | 0.742225 | + | 0.670151i | \(0.233771\pi\) | ||||
−0.742225 | + | 0.670151i | \(0.766229\pi\) | |||||||
\(348\) | −7.04558 | − | 7.46668i | −0.377683 | − | 0.400256i | ||||
\(349\) | 10.7238 | − | 18.5742i | 0.574033 | − | 0.994254i | −0.422113 | − | 0.906543i | \(-0.638712\pi\) |
0.996146 | − | 0.0877105i | \(-0.0279550\pi\) | |||||||
\(350\) | −1.98354 | + | 1.43336i | −0.106024 | + | 0.0766163i | ||||
\(351\) | −18.1539 | − | 4.63008i | −0.968981 | − | 0.247136i | ||||
\(352\) | −0.0169143 | − | 0.0292965i | −0.000901538 | − | 0.00156151i | ||||
\(353\) | 4.99263 | − | 2.88250i | 0.265731 | − | 0.153420i | −0.361215 | − | 0.932483i | \(-0.617638\pi\) |
0.626946 | + | 0.779063i | \(0.284305\pi\) | |||||||
\(354\) | −0.103450 | + | 0.345648i | −0.00549831 | + | 0.0183710i | ||||
\(355\) | −8.42374 | − | 4.86345i | −0.447086 | − | 0.258125i | ||||
\(356\) | − | 15.9542i | − | 0.845569i | ||||||
\(357\) | 11.5115 | + | 9.93970i | 0.609255 | + | 0.526064i | ||||
\(358\) | 1.29319 | − | 0.746622i | 0.0683471 | − | 0.0394602i | ||||
\(359\) | −16.6116 | − | 28.7721i | −0.876726 | − | 1.51853i | −0.854913 | − | 0.518772i | \(-0.826389\pi\) |
−0.0218135 | − | 0.999762i | \(-0.506944\pi\) | |||||||
\(360\) | 3.77692 | + | 0.219376i | 0.199061 | + | 0.0115621i | ||||
\(361\) | 9.05089 | + | 15.6766i | 0.476363 | + | 0.825085i | ||||
\(362\) | − | 0.363332i | − | 0.0190963i | ||||||
\(363\) | 13.8556 | − | 13.0741i | 0.727228 | − | 0.686214i | ||||
\(364\) | −18.6393 | + | 3.80276i | −0.976964 | + | 0.199319i | ||||
\(365\) | − | 27.3936i | − | 1.43385i | ||||||
\(366\) | 0.230015 | + | 0.243763i | 0.0120231 | + | 0.0127417i | ||||
\(367\) | 8.91385 | − | 5.14642i | 0.465299 | − | 0.268641i | −0.248971 | − | 0.968511i | \(-0.580092\pi\) |
0.714270 | + | 0.699870i | \(0.246759\pi\) | |||||||
\(368\) | 26.8816i | 1.40130i | ||||||||
\(369\) | −12.9803 | − | 25.8357i | −0.675728 | − | 1.34495i | ||||
\(370\) | −0.929650 | − | 1.61020i | −0.0483302 | − | 0.0837103i | ||||
\(371\) | 13.6883 | + | 18.9423i | 0.710659 | + | 0.983436i | ||||
\(372\) | −15.5900 | + | 14.7107i | −0.808301 | + | 0.762715i | ||||
\(373\) | −2.00522 | + | 3.47314i | −0.103826 | + | 0.179832i | −0.913258 | − | 0.407382i | \(-0.866442\pi\) |
0.809432 | + | 0.587214i | \(0.199775\pi\) | |||||||
\(374\) | 0.00469626 | + | 0.00813416i | 0.000242838 | + | 0.000420607i | ||||
\(375\) | −14.6364 | + | 48.9033i | −0.755822 | + | 2.52535i | ||||
\(376\) | 0.866551 | − | 0.500303i | 0.0446890 | − | 0.0258012i | ||||
\(377\) | −10.6638 | + | 1.06030i | −0.549216 | + | 0.0546081i | ||||
\(378\) | −0.286792 | − | 1.00902i | −0.0147510 | − | 0.0518983i | ||||
\(379\) | 13.0700 | + | 7.54596i | 0.671360 | + | 0.387610i | 0.796592 | − | 0.604517i | \(-0.206634\pi\) |
−0.125232 | + | 0.992128i | \(0.539967\pi\) | |||||||
\(380\) | 7.82051i | 0.401184i | ||||||||
\(381\) | −15.0618 | + | 14.2123i | −0.771638 | + | 0.728119i | ||||
\(382\) | −0.638875 | − | 0.368855i | −0.0326877 | − | 0.0188723i | ||||
\(383\) | 19.3357 | + | 11.1635i | 0.988008 | + | 0.570427i | 0.904678 | − | 0.426095i | \(-0.140111\pi\) |
0.0833300 | + | 0.996522i | \(0.473444\pi\) | |||||||
\(384\) | −4.02211 | − | 1.20379i | −0.205252 | − | 0.0614306i | ||||
\(385\) | −0.237829 | − | 0.329116i | −0.0121209 | − | 0.0167733i | ||||
\(386\) | 0.00893924 | − | 0.00516108i | 0.000454996 | − | 0.000262692i | ||||
\(387\) | −1.23732 | + | 21.3025i | −0.0628966 | + | 1.08287i | ||||
\(388\) | 1.38583 | + | 2.40032i | 0.0703547 | + | 0.121858i | ||||
\(389\) | 0.779307 | + | 0.449933i | 0.0395124 | + | 0.0228125i | 0.519626 | − | 0.854394i | \(-0.326071\pi\) |
−0.480114 | + | 0.877206i | \(0.659405\pi\) | |||||||
\(390\) | 1.29317 | − | 1.48846i | 0.0654821 | − | 0.0753713i | ||||
\(391\) | − | 22.5004i | − | 1.13789i | ||||||
\(392\) | −1.41934 | − | 1.59270i | −0.0716874 | − | 0.0804435i | ||||
\(393\) | 3.01780 | + | 12.7286i | 0.152228 | + | 0.642073i | ||||
\(394\) | 0.550495 | − | 0.953485i | 0.0277335 | − | 0.0480359i | ||||
\(395\) | 23.6202 | + | 13.6371i | 1.18846 | + | 0.686159i | ||||
\(396\) | −0.0128665 | + | 0.221517i | −0.000646563 | + | 0.0111317i | ||||
\(397\) | 9.85736 | − | 17.0734i | 0.494727 | − | 0.856892i | −0.505255 | − | 0.862970i | \(-0.668601\pi\) |
0.999982 | + | 0.00607837i | \(0.00193482\pi\) | |||||||
\(398\) | 0.642645i | 0.0322129i | ||||||||
\(399\) | 4.10174 | − | 1.42764i | 0.205344 | − | 0.0714715i | ||||
\(400\) | 24.0332 | − | 41.6267i | 1.20166 | − | 2.08134i | ||||
\(401\) | −13.5444 | −0.676373 | −0.338187 | − | 0.941079i | \(-0.609814\pi\) | ||||
−0.338187 | + | 0.941079i | \(0.609814\pi\) | |||||||
\(402\) | 0.579373 | − | 0.137363i | 0.0288965 | − | 0.00685103i | ||||
\(403\) | 2.21383 | + | 22.2654i | 0.110279 | + | 1.10912i | ||||
\(404\) | 7.48519 | + | 12.9647i | 0.372402 | + | 0.645019i | ||||
\(405\) | −29.8792 | − | 22.2294i | −1.48471 | − | 1.10459i | ||||
\(406\) | −0.351436 | − | 0.486330i | −0.0174415 | − | 0.0241362i | ||||
\(407\) | 0.189153 | − | 0.109208i | 0.00937596 | − | 0.00541322i | ||||
\(408\) | 1.67837 | + | 0.502325i | 0.0830917 | + | 0.0248688i | ||||
\(409\) | 17.9317 | 0.886665 | 0.443332 | − | 0.896357i | \(-0.353796\pi\) | ||||
0.443332 | + | 0.896357i | \(0.353796\pi\) | |||||||
\(410\) | 3.04295 | 0.150280 | ||||||||
\(411\) | 3.58626 | + | 1.07335i | 0.176897 | + | 0.0529442i | ||||
\(412\) | 22.9727 | − | 13.2633i | 1.13178 | − | 0.653435i | ||||
\(413\) | 2.95475 | − | 6.59091i | 0.145394 | − | 0.324317i | ||||
\(414\) | −0.852568 | + | 1.29672i | −0.0419015 | + | 0.0637302i | ||||
\(415\) | −0.639672 | − | 1.10794i | −0.0314002 | − | 0.0543868i | ||||
\(416\) | −2.67130 | + | 1.91798i | −0.130971 | + | 0.0940369i | ||||
\(417\) | −23.1496 | + | 5.48850i | −1.13364 | + | 0.268773i | ||||
\(418\) | 0.00268214 | 0.000131188 | ||||||||
\(419\) | −1.60815 | + | 2.78540i | −0.0785633 | + | 0.136076i | −0.902630 | − | 0.430417i | \(-0.858367\pi\) |
0.824067 | + | 0.566492i | \(0.191700\pi\) | |||||||
\(420\) | −37.1433 | − | 7.09162i | −1.81241 | − | 0.346035i | ||||
\(421\) | − | 8.40422i | − | 0.409597i | −0.978804 | − | 0.204798i | \(-0.934346\pi\) | ||
0.978804 | − | 0.204798i | \(-0.0656539\pi\) | |||||||
\(422\) | −0.454816 | + | 0.787764i | −0.0221401 | + | 0.0383478i | ||||
\(423\) | −9.83304 | − | 0.571136i | −0.478099 | − | 0.0277696i | ||||
\(424\) | 2.33139 | + | 1.34603i | 0.113222 | + | 0.0653690i | ||||
\(425\) | −20.1163 | + | 34.8424i | −0.975783 | + | 1.69011i | ||||
\(426\) | 0.0716682 | + | 0.302285i | 0.00347234 | + | 0.0146457i | ||||
\(427\) | −3.92982 | − | 5.43824i | −0.190178 | − | 0.263175i | ||||
\(428\) | 15.9946i | 0.773129i | ||||||||
\(429\) | 0.174852 | + | 0.151911i | 0.00844195 | + | 0.00733431i | ||||
\(430\) | −1.94488 | − | 1.12288i | −0.0937903 | − | 0.0541499i | ||||
\(431\) | 12.3986 | + | 21.4750i | 0.597221 | + | 1.03442i | 0.993229 | + | 0.116170i | \(0.0370617\pi\) |
−0.396009 | + | 0.918247i | \(0.629605\pi\) | |||||||
\(432\) | 13.2473 | + | 15.7799i | 0.637361 | + | 0.759209i | ||||
\(433\) | −28.4393 | + | 16.4194i | −1.36671 | + | 0.789068i | −0.990506 | − | 0.137471i | \(-0.956103\pi\) |
−0.376199 | + | 0.926539i | \(0.622769\pi\) | |||||||
\(434\) | −1.01543 | + | 0.733775i | −0.0487420 | + | 0.0352223i | ||||
\(435\) | −20.4076 | − | 6.10786i | −0.978470 | − | 0.292850i | ||||
\(436\) | −7.41288 | − | 4.27983i | −0.355013 | − | 0.204967i | ||||
\(437\) | −5.56442 | − | 3.21262i | −0.266182 | − | 0.153680i | ||||
\(438\) | −0.636343 | + | 0.600454i | −0.0304056 | + | 0.0286908i | ||||
\(439\) | − | 10.4806i | − | 0.500212i | −0.968218 | − | 0.250106i | \(-0.919535\pi\) | ||
0.968218 | − | 0.250106i | \(-0.0804654\pi\) | |||||||
\(440\) | −0.0405071 | − | 0.0233868i | −0.00193110 | − | 0.00111492i | ||||
\(441\) | 3.06111 | + | 20.7757i | 0.145767 | + | 0.989319i | ||||
\(442\) | 0.741685 | − | 0.532527i | 0.0352784 | − | 0.0253297i | ||||
\(443\) | −12.1404 | + | 7.00926i | −0.576808 | + | 0.333020i | −0.759864 | − | 0.650082i | \(-0.774734\pi\) |
0.183056 | + | 0.983102i | \(0.441401\pi\) | |||||||
\(444\) | 5.83206 | − | 19.4861i | 0.276777 | − | 0.924769i | ||||
\(445\) | −16.5524 | − | 28.6697i | −0.784660 | − | 1.35907i | ||||
\(446\) | 0.00228117 | − | 0.00395110i | 0.000108016 | − | 0.000187090i | ||||
\(447\) | −27.5416 | + | 25.9883i | −1.30267 | + | 1.22920i | ||||
\(448\) | 18.9774 | + | 8.50773i | 0.896599 | + | 0.401952i | ||||
\(449\) | −19.0785 | − | 33.0449i | −0.900370 | − | 1.55949i | −0.827015 | − | 0.562180i | \(-0.809963\pi\) |
−0.0733552 | − | 0.997306i | \(-0.523371\pi\) | |||||||
\(450\) | 2.47954 | − | 1.24577i | 0.116887 | − | 0.0587260i | ||||
\(451\) | 0.357460i | 0.0168321i | ||||||||
\(452\) | −7.34376 | + | 4.23992i | −0.345421 | + | 0.199429i | ||||
\(453\) | −7.49242 | − | 7.94024i | −0.352025 | − | 0.373065i | ||||
\(454\) | 0.810862i | 0.0380556i | ||||||||
\(455\) | −29.5495 | + | 26.1718i | −1.38530 | + | 1.22695i | ||||
\(456\) | 0.363865 | − | 0.343344i | 0.0170395 | − | 0.0160786i | ||||
\(457\) | 20.7674i | 0.971456i | 0.874110 | + | 0.485728i | \(0.161445\pi\) | ||||
−0.874110 | + | 0.485728i | \(0.838555\pi\) | |||||||
\(458\) | 0.566365 | + | 0.980973i | 0.0264645 | + | 0.0458379i | ||||
\(459\) | −11.0883 | − | 13.2081i | −0.517556 | − | 0.616499i | ||||
\(460\) | 27.9715 | + | 48.4481i | 1.30418 | + | 2.25890i | ||||
\(461\) | −8.39604 | + | 4.84746i | −0.391043 | + | 0.225769i | −0.682612 | − | 0.730781i | \(-0.739156\pi\) |
0.291569 | + | 0.956550i | \(0.405823\pi\) | |||||||
\(462\) | −0.00243215 | + | 0.0127387i | −0.000113154 | + | 0.000592660i | ||||
\(463\) | 3.23134i | 0.150173i | 0.997177 | + | 0.0750865i | \(0.0239233\pi\) | ||||
−0.997177 | + | 0.0750865i | \(0.976077\pi\) | |||||||
\(464\) | 10.2062 | + | 5.89254i | 0.473810 | + | 0.273554i | ||||
\(465\) | −12.7528 | + | 42.6098i | −0.591398 | + | 1.97598i | ||||
\(466\) | 0.854032 | − | 0.493076i | 0.0395623 | − | 0.0228413i | ||||
\(467\) | −17.6202 | − | 30.5190i | −0.815364 | − | 1.41225i | −0.909066 | − | 0.416651i | \(-0.863204\pi\) |
0.0937025 | − | 0.995600i | \(-0.470130\pi\) | |||||||
\(468\) | 21.5521 | − | 0.885976i | 0.996248 | − | 0.0409543i | ||||
\(469\) | −11.8581 | + | 1.21557i | −0.547555 | + | 0.0561298i | ||||
\(470\) | 0.518308 | − | 0.897736i | 0.0239078 | − | 0.0414095i | ||||
\(471\) | 10.4906 | + | 11.1176i | 0.483381 | + | 0.512272i | ||||
\(472\) | − | 0.832012i | − | 0.0382965i | ||||||
\(473\) | 0.131906 | − | 0.228468i | 0.00606505 | − | 0.0105050i | ||||
\(474\) | −0.200958 | − | 0.847608i | −0.00923032 | − | 0.0389319i | ||||
\(475\) | 5.74442 | + | 9.94964i | 0.263572 | + | 0.456521i | ||||
\(476\) | −15.9785 | − | 7.16327i | −0.732372 | − | 0.328328i | ||||
\(477\) | −11.8968 | − | 23.6791i | −0.544717 | − | 1.08419i | ||||
\(478\) | −1.57159 | −0.0718828 | ||||||||
\(479\) | −4.11527 | + | 2.37595i | −0.188032 | + | 0.108560i | −0.591061 | − | 0.806627i | \(-0.701291\pi\) |
0.403029 | + | 0.915187i | \(0.367957\pi\) | |||||||
\(480\) | −6.36061 | + | 1.50803i | −0.290321 | + | 0.0688318i | ||||
\(481\) | −12.3835 | − | 17.2473i | −0.564638 | − | 0.786407i | ||||
\(482\) | 0.307056 | 0.0139860 | ||||||||
\(483\) | 20.3041 | − | 23.5149i | 0.923867 | − | 1.06996i | ||||
\(484\) | −10.9666 | + | 18.9947i | −0.498482 | + | 0.863396i | ||||
\(485\) | 4.98067 | + | 2.87559i | 0.226161 | + | 0.130574i | ||||
\(486\) | 0.138556 | + | 1.18134i | 0.00628504 | + | 0.0535866i | ||||
\(487\) | − | 25.2391i | − | 1.14369i | −0.820360 | − | 0.571847i | \(-0.806227\pi\) | ||
0.820360 | − | 0.571847i | \(-0.193773\pi\) | |||||||
\(488\) | −0.669330 | − | 0.386438i | −0.0302991 | − | 0.0174932i | ||||
\(489\) | 20.6518 | + | 21.8862i | 0.933908 | + | 0.989727i | ||||
\(490\) | −2.09843 | − | 0.693749i | −0.0947973 | − | 0.0313404i | ||||
\(491\) | −10.8867 | − | 6.28543i | −0.491309 | − | 0.283658i | 0.233808 | − | 0.972283i | \(-0.424881\pi\) |
−0.725117 | + | 0.688625i | \(0.758215\pi\) | |||||||
\(492\) | 22.8461 | + | 24.2116i | 1.02998 | + | 1.09154i | ||||
\(493\) | −8.54278 | − | 4.93218i | −0.384748 | − | 0.222134i | ||||
\(494\) | −0.0257975 | − | 0.259456i | −0.00116068 | − | 0.0116735i | ||||
\(495\) | 0.206703 | + | 0.411416i | 0.00929060 | + | 0.0184918i | ||||
\(496\) | 12.3032 | − | 21.3098i | 0.552432 | − | 0.956840i | ||||
\(497\) | −0.634217 | − | 6.18688i | −0.0284485 | − | 0.277519i | ||||
\(498\) | −0.0117158 | + | 0.0391449i | −0.000524998 | + | 0.00175413i | ||||
\(499\) | 19.8038 | − | 11.4337i | 0.886540 | − | 0.511844i | 0.0137310 | − | 0.999906i | \(-0.495629\pi\) |
0.872809 | + | 0.488061i | \(0.162296\pi\) | |||||||
\(500\) | − | 58.7719i | − | 2.62836i | ||||||
\(501\) | 18.2754 | + | 19.3677i | 0.816485 | + | 0.865286i | ||||
\(502\) | −0.614545 | − | 1.06442i | −0.0274285 | − | 0.0475075i | ||||
\(503\) | −14.0739 | − | 24.3767i | −0.627525 | − | 1.08691i | −0.988047 | − | 0.154155i | \(-0.950735\pi\) |
0.360522 | − | 0.932751i | \(-0.382599\pi\) | |||||||
\(504\) | 1.30075 | + | 2.03951i | 0.0579401 | + | 0.0908471i | ||||
\(505\) | 26.9018 | + | 15.5318i | 1.19711 | + | 0.691155i | ||||
\(506\) | 0.0166158 | − | 0.00959316i | 0.000738665 | − | 0.000426468i | ||||
\(507\) | 13.0132 | − | 18.3754i | 0.577938 | − | 0.816080i | ||||
\(508\) | 11.9213 | − | 20.6483i | 0.528923 | − | 0.916122i | ||||
\(509\) | 23.9373i | 1.06100i | 0.847684 | + | 0.530502i | \(0.177996\pi\) | ||||
−0.847684 | + | 0.530502i | \(0.822004\pi\) | |||||||
\(510\) | 1.76602 | − | 0.418703i | 0.0782007 | − | 0.0185405i | ||||
\(511\) | 14.1965 | − | 10.2588i | 0.628017 | − | 0.453823i | ||||
\(512\) | 6.03333 | 0.266638 | ||||||||
\(513\) | −4.84958 | + | 0.856308i | −0.214114 | + | 0.0378069i | ||||
\(514\) | 1.59980 | 0.0705642 | ||||||||
\(515\) | 27.5213 | − | 47.6683i | 1.21273 | − | 2.10052i | ||||
\(516\) | −5.66763 | − | 23.9051i | −0.249503 | − | 1.05236i | ||||
\(517\) | 0.105459 | + | 0.0608865i | 0.00463806 | + | 0.00267779i | ||||
\(518\) | 0.486323 | − | 1.08480i | 0.0213678 | − | 0.0476633i | ||||
\(519\) | 5.93261 | − | 5.59802i | 0.260413 | − | 0.245726i | ||||
\(520\) | −1.87271 | + | 4.14338i | −0.0821236 | + | 0.181699i | ||||
\(521\) | −3.46298 | + | 5.99806i | −0.151716 | + | 0.262780i | −0.931858 | − | 0.362822i | \(-0.881813\pi\) |
0.780142 | + | 0.625602i | \(0.215147\pi\) | |||||||
\(522\) | 0.305441 | + | 0.607942i | 0.0133688 | + | 0.0266089i | ||||
\(523\) | 25.3491i | 1.10844i | 0.832371 | + | 0.554219i | \(0.186983\pi\) | ||||
−0.832371 | + | 0.554219i | \(0.813017\pi\) | |||||||
\(524\) | −7.53059 | − | 13.0434i | −0.328975 | − | 0.569802i | ||||
\(525\) | −52.4646 | + | 18.2607i | −2.28974 | + | 0.796962i | ||||
\(526\) | −1.08805 | + | 0.628186i | −0.0474412 | + | 0.0273902i | ||||
\(527\) | −10.2981 | + | 17.8368i | −0.448591 | + | 0.776982i | ||||
\(528\) | −0.0587629 | − | 0.247852i | −0.00255733 | − | 0.0107864i | ||||
\(529\) | −22.9622 | −0.998355 | ||||||||
\(530\) | 2.78894 | 0.121144 | ||||||||
\(531\) | −4.49940 | + | 6.84338i | −0.195257 | + | 0.296978i | ||||
\(532\) | −4.05291 | + | 2.92875i | −0.175716 | + | 0.126977i | ||||
\(533\) | 34.5788 | − | 3.43814i | 1.49777 | − | 0.148922i | ||||
\(534\) | −0.303164 | + | 1.01293i | −0.0131192 | + | 0.0438338i | ||||
\(535\) | 16.5944 | + | 28.7424i | 0.717439 | + | 1.24264i | ||||
\(536\) | −1.18914 | + | 0.686547i | −0.0513628 | + | 0.0296543i | ||||
\(537\) | 32.9821 | − | 7.81967i | 1.42328 | − | 0.337444i | ||||
\(538\) | 2.33235 | 0.100555 | ||||||||
\(539\) | 0.0814959 | − | 0.246506i | 0.00351028 | − | 0.0106178i | ||||
\(540\) | 40.2950 | + | 14.6553i | 1.73402 | + | 0.630662i | ||||
\(541\) | 22.9042 | − | 13.2238i | 0.984729 | − | 0.568534i | 0.0810347 | − | 0.996711i | \(-0.474178\pi\) |
0.903695 | + | 0.428178i | \(0.140844\pi\) | |||||||
\(542\) | 0.344793 | 0.0148101 | ||||||||
\(543\) | 2.36480 | − | 7.90127i | 0.101483 | − | 0.339076i | ||||
\(544\) | −3.02707 | −0.129784 | ||||||||
\(545\) | −17.7613 | −0.760810 | ||||||||
\(546\) | 1.25567 | + | 0.112749i | 0.0537378 | + | 0.00482522i | ||||
\(547\) | 10.0178 | 0.428328 | 0.214164 | − | 0.976798i | \(-0.431297\pi\) | ||||
0.214164 | + | 0.976798i | \(0.431297\pi\) | |||||||
\(548\) | −4.30997 | −0.184113 | ||||||||
\(549\) | 3.41551 | + | 6.79813i | 0.145770 | + | 0.290137i | ||||
\(550\) | −0.0343067 | −0.00146284 | ||||||||
\(551\) | −2.43949 | + | 1.40844i | −0.103926 | + | 0.0600015i | ||||
\(552\) | 1.02611 | − | 3.42845i | 0.0436742 | − | 0.145924i | ||||
\(553\) | 1.77835 | + | 17.3480i | 0.0756230 | + | 0.737714i | ||||
\(554\) | −0.125709 | −0.00534087 | ||||||||
\(555\) | −9.73659 | − | 41.0673i | −0.413295 | − | 1.74321i | ||||
\(556\) | 23.7220 | − | 13.6959i | 1.00604 | − | 0.580837i | ||||
\(557\) | 20.3699 | + | 35.2817i | 0.863101 | + | 1.49494i | 0.868920 | + | 0.494952i | \(0.164814\pi\) |
−0.00581908 | + | 0.999983i | \(0.501852\pi\) | |||||||
\(558\) | 1.26934 | − | 0.637742i | 0.0537356 | − | 0.0269978i | ||||
\(559\) | −23.3695 | − | 10.5624i | −0.988424 | − | 0.446743i | ||||
\(560\) | 43.1832 | − | 4.42671i | 1.82483 | − | 0.187063i | ||||
\(561\) | 0.0491858 | + | 0.207457i | 0.00207663 | + | 0.00875886i | ||||
\(562\) | −0.579506 | −0.0244450 | ||||||||
\(563\) | −18.5643 | −0.782392 | −0.391196 | − | 0.920307i | \(-0.627939\pi\) | ||||
−0.391196 | + | 0.920307i | \(0.627939\pi\) | |||||||
\(564\) | 11.0344 | − | 2.61612i | 0.464630 | − | 0.110158i | ||||
\(565\) | −8.79783 | + | 15.2383i | −0.370127 | + | 0.641080i | ||||
\(566\) | −0.881886 | + | 0.509157i | −0.0370684 | + | 0.0214015i | ||||
\(567\) | 0.330572 | − | 23.8095i | 0.0138827 | − | 0.999904i | ||||
\(568\) | −0.358202 | − | 0.620424i | −0.0150298 | − | 0.0260324i | ||||
\(569\) | − | 33.3569i | − | 1.39839i | −0.714929 | − | 0.699197i | \(-0.753541\pi\) | ||
0.714929 | − | 0.699197i | \(-0.246459\pi\) | |||||||
\(570\) | 0.148607 | − | 0.496525i | 0.00622445 | − | 0.0207971i | ||||
\(571\) | 7.84265 | − | 13.5839i | 0.328205 | − | 0.568467i | −0.653951 | − | 0.756537i | \(-0.726890\pi\) |
0.982156 | + | 0.188070i | \(0.0602232\pi\) | |||||||
\(572\) | −0.243010 | − | 0.109835i | −0.0101608 | − | 0.00459242i | ||||
\(573\) | −11.4927 | − | 12.1796i | −0.480114 | − | 0.508810i | ||||
\(574\) | 1.13957 | + | 1.57698i | 0.0475648 | + | 0.0658220i | ||||
\(575\) | 71.1735 | + | 41.0920i | 2.96814 | + | 1.71366i | ||||
\(576\) | −19.7044 | − | 12.9553i | −0.821017 | − | 0.539803i | ||||
\(577\) | −5.53173 | + | 9.58124i | −0.230289 | + | 0.398872i | −0.957893 | − | 0.287125i | \(-0.907300\pi\) |
0.727604 | + | 0.685997i | \(0.240634\pi\) | |||||||
\(578\) | −0.456678 | −0.0189953 | ||||||||
\(579\) | 0.227991 | − | 0.0540540i | 0.00947497 | − | 0.00224641i | ||||
\(580\) | 24.5259 | 1.01838 | ||||||||
\(581\) | 0.334628 | − | 0.746425i | 0.0138827 | − | 0.0309669i | ||||
\(582\) | −0.0423750 | − | 0.178731i | −0.00175650 | − | 0.00740862i | ||||
\(583\) | 0.327621i | 0.0135687i | ||||||||
\(584\) | 1.00880 | − | 1.74728i | 0.0417442 | − | 0.0723032i | ||||
\(585\) | 37.8100 | − | 23.9524i | 1.56325 | − | 0.990311i | ||||
\(586\) | 1.60980 | − | 0.929416i | 0.0665001 | − | 0.0383938i | ||||
\(587\) | −2.79781 | − | 1.61532i | −0.115478 | − | 0.0666713i | 0.441148 | − | 0.897434i | \(-0.354571\pi\) |
−0.556627 | + | 0.830763i | \(0.687905\pi\) | |||||||
\(588\) | −10.2349 | − | 21.9050i | −0.422079 | − | 0.903347i | ||||
\(589\) | 2.94073 | + | 5.09349i | 0.121171 | + | 0.209874i | ||||
\(590\) | −0.430977 | − | 0.746474i | −0.0177430 | − | 0.0307319i | ||||
\(591\) | 18.1773 | − | 17.1522i | 0.747716 | − | 0.705546i | ||||
\(592\) | 23.3498i | 0.959672i | ||||||||
\(593\) | −12.3556 | + | 7.13353i | −0.507385 | + | 0.292939i | −0.731758 | − | 0.681564i | \(-0.761300\pi\) |
0.224373 | + | 0.974503i | \(0.427967\pi\) | |||||||
\(594\) | 0.00502620 | − | 0.0138197i | 0.000206227 | − | 0.000567027i | ||||
\(595\) | −36.1452 | + | 3.70525i | −1.48181 | + | 0.151900i | ||||
\(596\) | 21.7990 | − | 37.7570i | 0.892924 | − | 1.54659i | ||||
\(597\) | −4.18275 | + | 13.9754i | −0.171188 | + | 0.571975i | ||||
\(598\) | −1.08781 | − | 1.51506i | −0.0444837 | − | 0.0619554i | ||||
\(599\) | 1.25811 | + | 0.726368i | 0.0514049 | + | 0.0296786i | 0.525482 | − | 0.850805i | \(-0.323885\pi\) |
−0.474077 | + | 0.880483i | \(0.657218\pi\) | |||||||
\(600\) | −4.65413 | + | 4.39165i | −0.190004 | + | 0.179288i | ||||
\(601\) | −28.0645 | − | 16.2030i | −1.14477 | − | 0.660936i | −0.197166 | − | 0.980370i | \(-0.563174\pi\) |
−0.947609 | + | 0.319434i | \(0.896507\pi\) | |||||||
\(602\) | −0.146428 | − | 1.42843i | −0.00596797 | − | 0.0582184i | ||||
\(603\) | 13.4935 | + | 0.783748i | 0.549498 | + | 0.0319167i | ||||
\(604\) | 10.8854 | + | 6.28466i | 0.442919 | + | 0.255719i | ||||
\(605\) | 45.5114i | 1.85030i | ||||||||
\(606\) | −0.228878 | − | 0.965367i | −0.00929752 | − | 0.0392154i | ||||
\(607\) | 21.7823 | + | 12.5760i | 0.884116 | + | 0.510445i | 0.872013 | − | 0.489482i | \(-0.162814\pi\) |
0.0121027 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(608\) | −0.432206 | + | 0.748603i | −0.0175283 | + | 0.0303599i | ||||
\(609\) | −4.47722 | − | 12.8634i | −0.181426 | − | 0.521253i | ||||
\(610\) | −0.800689 | −0.0324190 | ||||||||
\(611\) | 4.87551 | − | 10.7871i | 0.197242 | − | 0.436400i | ||||
\(612\) | 16.5906 | + | 10.9080i | 0.670634 | + | 0.440930i | ||||
\(613\) | −9.85957 | + | 5.69243i | −0.398224 | + | 0.229915i | −0.685718 | − | 0.727868i | \(-0.740511\pi\) |
0.287493 | + | 0.957783i | \(0.407178\pi\) | |||||||
\(614\) | −1.66176 | −0.0670631 | ||||||||
\(615\) | 66.1741 | + | 19.8055i | 2.66840 | + | 0.798633i | ||||
\(616\) | −0.00304975 | − | 0.0297508i | −0.000122878 | − | 0.00119869i | ||||
\(617\) | 15.9634 | + | 27.6494i | 0.642663 | + | 1.11312i | 0.984836 | + | 0.173488i | \(0.0555037\pi\) |
−0.342173 | + | 0.939637i | \(0.611163\pi\) | |||||||
\(618\) | −1.71057 | + | 0.405557i | −0.0688092 | + | 0.0163139i | ||||
\(619\) | −13.4393 | + | 23.2775i | −0.540170 | + | 0.935601i | 0.458724 | + | 0.888579i | \(0.348307\pi\) |
−0.998894 | + | 0.0470226i | \(0.985027\pi\) | |||||||
\(620\) | − | 51.2084i | − | 2.05658i | ||||||
\(621\) | −26.9804 | + | 22.6503i | −1.08269 | + | 0.908924i | ||||
\(622\) | 0.390966 | − | 0.677174i | 0.0156763 | − | 0.0271522i | ||||
\(623\) | 8.65899 | − | 19.3148i | 0.346915 | − | 0.773833i | ||||
\(624\) | −23.4107 | + | 8.06832i | −0.937178 | + | 0.322991i | ||||
\(625\) | −30.6699 | − | 53.1219i | −1.22680 | − | 2.12488i | ||||
\(626\) | −0.450905 | + | 0.260330i | −0.0180218 | + | 0.0104049i | ||||
\(627\) | 0.0583276 | + | 0.0174571i | 0.00232938 | + | 0.000697169i | ||||
\(628\) | −15.2412 | − | 8.79953i | −0.608192 | − | 0.351140i | ||||
\(629\) | − | 19.5443i | − | 0.779281i | ||||||
\(630\) | 2.22348 | + | 1.15605i | 0.0885855 | + | 0.0460582i | ||||
\(631\) | −12.0820 | + | 6.97557i | −0.480978 | + | 0.277693i | −0.720824 | − | 0.693118i | \(-0.756236\pi\) |
0.239846 | + | 0.970811i | \(0.422903\pi\) | |||||||
\(632\) | 1.00440 | + | 1.73967i | 0.0399529 | + | 0.0692005i | ||||
\(633\) | −15.0180 | + | 14.1710i | −0.596913 | + | 0.563248i | ||||
\(634\) | 0.667728 | + | 1.15654i | 0.0265189 | + | 0.0459320i | ||||
\(635\) | − | 49.4735i | − | 1.96330i | ||||||
\(636\) | 20.9391 | + | 22.1906i | 0.830288 | + | 0.879913i | ||||
\(637\) | −24.6295 | − | 5.51252i | −0.975856 | − | 0.218414i | ||||
\(638\) | − | 0.00841143i | − | 0.000333012i | ||||||
\(639\) | −0.408916 | + | 7.04016i | −0.0161765 | + | 0.278504i | ||||
\(640\) | 8.68629 | − | 5.01503i | 0.343356 | − | 0.198236i | ||||
\(641\) | 30.0437i | 1.18665i | 0.804962 | + | 0.593327i | \(0.202186\pi\) | ||||
−0.804962 | + | 0.593327i | \(0.797814\pi\) | |||||||
\(642\) | 0.303933 | − | 1.01550i | 0.0119953 | − | 0.0400786i | ||||
\(643\) | 19.6101 | + | 33.9657i | 0.773346 | + | 1.33948i | 0.935719 | + | 0.352746i | \(0.114752\pi\) |
−0.162373 | + | 0.986729i | \(0.551915\pi\) | |||||||
\(644\) | −14.6326 | + | 32.6396i | −0.576605 | + | 1.28618i | ||||
\(645\) | −34.9863 | − | 37.0773i | −1.37758 | − | 1.45992i | ||||
\(646\) | 0.120002 | − | 0.207849i | 0.00472141 | − | 0.00817772i | ||||
\(647\) | 14.5829 | + | 25.2583i | 0.573312 | + | 0.993006i | 0.996223 | + | 0.0868348i | \(0.0276752\pi\) |
−0.422910 | + | 0.906172i | \(0.638991\pi\) | |||||||
\(648\) | −1.08721 | − | 2.51822i | −0.0427095 | − | 0.0989250i | ||||
\(649\) | 0.0876896 | − | 0.0506276i | 0.00344212 | − | 0.00198731i | ||||
\(650\) | 0.329971 | + | 3.31865i | 0.0129425 | + | 0.130168i | ||||
\(651\) | −26.8580 | + | 9.34815i | −1.05265 | + | 0.366383i | ||||
\(652\) | −30.0040 | − | 17.3228i | −1.17505 | − | 0.678413i | ||||
\(653\) | 23.2693i | 0.910599i | 0.890338 | + | 0.455300i | \(0.150468\pi\) | ||||
−0.890338 | + | 0.455300i | \(0.849532\pi\) | |||||||
\(654\) | 0.389319 | + | 0.412588i | 0.0152236 | + | 0.0161335i | ||||
\(655\) | −27.0650 | − | 15.6260i | −1.05752 | − | 0.610557i | ||||
\(656\) | −33.0947 | − | 19.1073i | −1.29213 | − | 0.746013i | ||||
\(657\) | −17.7465 | + | 8.91617i | −0.692357 | + | 0.347853i | ||||
\(658\) | 0.659349 | − | 0.0675898i | 0.0257041 | − | 0.00263493i | ||||
\(659\) | −15.9875 | + | 9.23036i | −0.622783 | + | 0.359564i | −0.777952 | − | 0.628324i | \(-0.783741\pi\) |
0.155169 | + | 0.987888i | \(0.450408\pi\) | |||||||
\(660\) | −0.363809 | − | 0.385553i | −0.0141612 | − | 0.0150076i | ||||
\(661\) | −15.0210 | − | 26.0172i | −0.584251 | − | 1.01195i | −0.994968 | − | 0.100189i | \(-0.968055\pi\) |
0.410718 | − | 0.911763i | \(-0.365278\pi\) | |||||||
\(662\) | 0.361254 | + | 0.208570i | 0.0140405 | + | 0.00810630i | ||||
\(663\) | 19.5952 | − | 6.75335i | 0.761016 | − | 0.262278i | ||||
\(664\) | − | 0.0942260i | − | 0.00365668i | ||||||
\(665\) | −4.24452 | + | 9.46787i | −0.164595 | + | 0.367148i | ||||
\(666\) | −0.740557 | + | 1.12635i | −0.0286960 | + | 0.0436453i | ||||
\(667\) | −10.0751 | + | 17.4506i | −0.390109 | + | 0.675688i | ||||
\(668\) | −26.5514 | − | 15.3295i | −1.02730 | − | 0.593114i | ||||
\(669\) | 0.0753241 | − | 0.0710760i | 0.00291220 | − | 0.00274796i | ||||
\(670\) | −0.711254 | + | 1.23193i | −0.0274782 | + | 0.0475936i | ||||
\(671\) | − | 0.0940583i | − | 0.00363108i | ||||||
\(672\) | −3.16355 | − | 2.73158i | −0.122037 | − | 0.105373i | ||||
\(673\) | −16.3613 | + | 28.3386i | −0.630682 | + | 1.09237i | 0.356730 | + | 0.934208i | \(0.383892\pi\) |
−0.987412 | + | 0.158166i | \(0.949442\pi\) | |||||||
\(674\) | 0.483740 | 0.0186330 | ||||||||
\(675\) | 62.0301 | − | 10.9529i | 2.38754 | − | 0.421576i | ||||
\(676\) | −8.28748 | + | 24.5639i | −0.318749 | + | 0.944767i | ||||
\(677\) | −10.3024 | − | 17.8443i | −0.395955 | − | 0.685814i | 0.597268 | − | 0.802042i | \(-0.296253\pi\) |
−0.993223 | + | 0.116228i | \(0.962920\pi\) | |||||||
\(678\) | 0.546824 | − | 0.129646i | 0.0210006 | − | 0.00497901i | ||||
\(679\) | 0.374991 | + | 3.65809i | 0.0143908 | + | 0.140385i | ||||
\(680\) | −3.62467 | + | 2.09270i | −0.139000 | + | 0.0802515i | ||||
\(681\) | −5.27761 | + | 17.6336i | −0.202239 | + | 0.675720i | ||||
\(682\) | −0.0175625 | −0.000672504 | ||||||||
\(683\) | −48.2483 | −1.84617 | −0.923084 | − | 0.384598i | \(-0.874340\pi\) | ||||
−0.923084 | + | 0.384598i | \(0.874340\pi\) | |||||||
\(684\) | 5.06639 | − | 2.54545i | 0.193718 | − | 0.0973277i | ||||
\(685\) | −7.74503 | + | 4.47159i | −0.295922 | + | 0.170851i | ||||
\(686\) | −0.426323 | − | 1.34730i | −0.0162771 | − | 0.0514401i | ||||
\(687\) | 5.93176 | + | 25.0192i | 0.226311 | + | 0.954542i | ||||
\(688\) | 14.1015 | + | 24.4245i | 0.537615 | + | 0.931177i | ||||
\(689\) | 31.6923 | − | 3.15115i | 1.20738 | − | 0.120049i | ||||
\(690\) | −0.855296 | − | 3.60749i | −0.0325606 | − | 0.137335i | ||||
\(691\) | 24.3234 | 0.925306 | 0.462653 | − | 0.886540i | \(-0.346898\pi\) | ||||
0.462653 | + | 0.886540i | \(0.346898\pi\) | |||||||
\(692\) | −4.69563 | + | 8.13308i | −0.178501 | + | 0.309173i | ||||
\(693\) | −0.135803 | + | 0.261196i | −0.00515874 | + | 0.00992200i | ||||
\(694\) | 1.90505i | 0.0723146i | ||||||||
\(695\) | 28.4190 | − | 49.2232i | 1.07800 | − | 1.86714i | ||||
\(696\) | −1.07676 | − | 1.14112i | −0.0408144 | − | 0.0432539i | ||||
\(697\) | 27.7010 | + | 15.9932i | 1.04925 | + | 0.605784i | ||||
\(698\) | 0.818253 | − | 1.41726i | 0.0309713 | − | 0.0536439i | ||||
\(699\) | 21.7816 | − | 5.16418i | 0.823857 | − | 0.195327i | ||||
\(700\) | 51.8401 | − | 37.4611i | 1.95937 | − | 1.41590i | ||||
\(701\) | − | 12.2026i | − | 0.460886i | −0.973086 | − | 0.230443i | \(-0.925983\pi\) | ||
0.973086 | − | 0.230443i | \(-0.0740174\pi\) | |||||||
\(702\) | −1.38518 | − | 0.353287i | −0.0522804 | − | 0.0133339i | ||||
\(703\) | −4.83336 | − | 2.79054i | −0.182294 | − | 0.105247i | ||||
\(704\) | 0.145774 | + | 0.252488i | 0.00549406 | + | 0.00951599i | ||||
\(705\) | 17.1145 | − | 16.1493i | 0.644571 | − | 0.608218i | ||||
\(706\) | 0.380950 | − | 0.219942i | 0.0143372 | − | 0.00827761i | ||||
\(707\) | 2.02542 | + | 19.7582i | 0.0761736 | + | 0.743085i | ||||
\(708\) | 2.70369 | − | 9.03357i | 0.101611 | − | 0.339502i | ||||
\(709\) | 27.9659 | + | 16.1461i | 1.05028 | + | 0.606380i | 0.922728 | − | 0.385452i | \(-0.125954\pi\) |
0.127553 | + | 0.991832i | \(0.459288\pi\) | |||||||
\(710\) | −0.642752 | − | 0.371093i | −0.0241220 | − | 0.0139269i | ||||
\(711\) | 1.14660 | − | 19.7406i | 0.0430010 | − | 0.740332i | ||||
\(712\) | − | 2.43824i | − | 0.0913767i | ||||||
\(713\) | 36.4356 | + | 21.0361i | 1.36452 | + | 0.787809i | ||||
\(714\) | 0.878358 | + | 0.758423i | 0.0328717 | + | 0.0283833i | ||||
\(715\) | −0.550644 | + | 0.0547501i | −0.0205929 | + | 0.00204754i | ||||
\(716\) | −33.7977 | + | 19.5131i | −1.26308 | + | 0.729239i | ||||
\(717\) | −34.1769 | − | 10.2289i | −1.27636 | − | 0.382006i | ||||
\(718\) | −1.26750 | − | 2.19538i | −0.0473028 | − | 0.0819309i | ||||
\(719\) | −16.5334 | + | 28.6366i | −0.616591 | + | 1.06797i | 0.373512 | + | 0.927625i | \(0.378153\pi\) |
−0.990103 | + | 0.140341i | \(0.955180\pi\) | |||||||
\(720\) | −49.1390 | − | 2.85416i | −1.83130 | − | 0.106368i | ||||
\(721\) | 35.0103 | − | 3.58891i | 1.30385 | − | 0.133658i | ||||
\(722\) | 0.690605 | + | 1.19616i | 0.0257017 | + | 0.0445166i | ||||
\(723\) | 6.67746 | + | 1.99852i | 0.248338 | + | 0.0743258i | ||||
\(724\) | 9.49574i | 0.352906i | ||||||||
\(725\) | 31.2030 | − | 18.0151i | 1.15885 | − | 0.669063i | ||||
\(726\) | 1.05721 | − | 0.997588i | 0.0392368 | − | 0.0370240i | ||||
\(727\) | 14.8456i | 0.550593i | 0.961359 | + | 0.275296i | \(0.0887759\pi\) | ||||
−0.961359 | + | 0.275296i | \(0.911224\pi\) | |||||||
\(728\) | −2.84860 | + | 0.581167i | −0.105576 | + | 0.0215395i | ||||
\(729\) | −4.67578 | + | 26.5920i | −0.173177 | + | 0.984891i | ||||
\(730\) | − | 2.09020i | − | 0.0773617i | ||||||
\(731\) | −11.8032 | − | 20.4438i | −0.436559 | − | 0.756142i | ||||
\(732\) | −6.01149 | − | 6.37079i | −0.222191 | − | 0.235471i | ||||
\(733\) | −11.3305 | − | 19.6250i | −0.418501 | − | 0.724865i | 0.577288 | − | 0.816541i | \(-0.304111\pi\) |
−0.995789 | + | 0.0916756i | \(0.970778\pi\) | |||||||
\(734\) | 0.680149 | − | 0.392684i | 0.0251047 | − | 0.0144942i | ||||
\(735\) | −41.1185 | − | 28.7447i | −1.51668 | − | 1.06026i | ||||
\(736\) | 6.18347i | 0.227926i | ||||||||
\(737\) | −0.144717 | − | 0.0835523i | −0.00533071 | − | 0.00307769i | ||||
\(738\) | −0.990430 | − | 1.97132i | −0.0364582 | − | 0.0725654i | ||||
\(739\) | −7.45261 | + | 4.30276i | −0.274149 | + | 0.158280i | −0.630771 | − | 0.775969i | \(-0.717261\pi\) |
0.356623 | + | 0.934248i | \(0.383928\pi\) | |||||||
\(740\) | 24.2966 | + | 42.0829i | 0.893160 | + | 1.54700i | ||||
\(741\) | 1.12769 | − | 5.81021i | 0.0414269 | − | 0.213443i | ||||
\(742\) | 1.04445 | + | 1.44535i | 0.0383429 | + | 0.0530603i | ||||
\(743\) | 12.9957 | − | 22.5092i | 0.476766 | − | 0.825783i | −0.522880 | − | 0.852406i | \(-0.675142\pi\) |
0.999646 | + | 0.0266239i | \(0.00847566\pi\) | |||||||
\(744\) | −2.38258 | + | 2.24820i | −0.0873494 | + | 0.0824231i | ||||
\(745\) | − | 90.4660i | − | 3.31442i | ||||||
\(746\) | −0.153003 | + | 0.265009i | −0.00560183 | + | 0.00970266i | ||||
\(747\) | −0.509561 | + | 0.775019i | −0.0186438 | + | 0.0283564i | ||||
\(748\) | −0.122738 | − | 0.212588i | −0.00448773 | − | 0.00777298i | ||||
\(749\) | −8.68095 | + | 19.3638i | −0.317195 | + | 0.707539i | ||||
\(750\) | −1.11679 | + | 3.73144i | −0.0407796 | + | 0.136253i | ||||
\(751\) | −39.1164 | −1.42738 | −0.713689 | − | 0.700463i | \(-0.752977\pi\) | ||||
−0.713689 | + | 0.700463i | \(0.752977\pi\) | |||||||
\(752\) | −11.2741 | + | 6.50912i | −0.411125 | + | 0.237363i | ||||
\(753\) | −6.43637 | − | 27.1475i | −0.234554 | − | 0.989311i | ||||
\(754\) | −0.813677 | + | 0.0809033i | −0.0296324 | + | 0.00294633i | ||||
\(755\) | 26.0813 | 0.949197 | ||||||||
\(756\) | 7.49536 | + | 26.3709i | 0.272604 | + | 0.959100i | ||||
\(757\) | 5.12228 | − | 8.87205i | 0.186172 | − | 0.322460i | −0.757799 | − | 0.652489i | \(-0.773725\pi\) |
0.943971 | + | 0.330028i | \(0.107058\pi\) | |||||||
\(758\) | 0.997272 | + | 0.575775i | 0.0362226 | + | 0.0209131i | ||||
\(759\) | 0.423778 | − | 0.100473i | 0.0153822 | − | 0.00364694i | ||||
\(760\) | 1.19519i | 0.0433541i | ||||||||
\(761\) | 37.7508 | + | 21.7954i | 1.36846 | + | 0.790084i | 0.990732 | − | 0.135831i | \(-0.0433705\pi\) |
0.377733 | + | 0.925915i | \(0.376704\pi\) | |||||||
\(762\) | −1.14925 | + | 1.08443i | −0.0416329 | + | 0.0392849i | ||||
\(763\) | −6.65153 | − | 9.20464i | −0.240802 | − | 0.333230i | ||||
\(764\) | 16.6971 | + | 9.64009i | 0.604081 | + | 0.348766i | ||||
\(765\) | 41.1303 | + | 2.38899i | 1.48707 | + | 0.0863740i | ||||
\(766\) | 1.47536 | + | 0.851800i | 0.0533070 | + | 0.0307768i | ||||
\(767\) | −5.74086 | − | 7.99567i | −0.207291 | − | 0.288707i | ||||
\(768\) | 25.7797 | + | 7.71571i | 0.930246 | + | 0.278417i | ||||
\(769\) | −26.4972 | + | 45.8945i | −0.955513 | + | 1.65500i | −0.222323 | + | 0.974973i | \(0.571364\pi\) |
−0.733190 | + | 0.680024i | \(0.761969\pi\) | |||||||
\(770\) | −0.0181469 | − | 0.0251124i | −0.000653970 | − | 0.000904987i | ||||
\(771\) | 34.7904 | + | 10.4125i | 1.25294 | + | 0.374998i | ||||
\(772\) | −0.233629 | + | 0.134886i | −0.00840848 | + | 0.00485464i | ||||
\(773\) | 2.12152i | 0.0763059i | 0.999272 | + | 0.0381529i | \(0.0121474\pi\) | ||||
−0.999272 | + | 0.0381529i | \(0.987853\pi\) | |||||||
\(774\) | −0.0944107 | + | 1.62543i | −0.00339352 | + | 0.0584250i | ||||
\(775\) | −37.6143 | − | 65.1498i | −1.35114 | − | 2.34025i | ||||
\(776\) | 0.211793 | + | 0.366836i | 0.00760292 | + | 0.0131686i | ||||
\(777\) | 17.6365 | − | 20.4255i | 0.632705 | − | 0.732759i | ||||
\(778\) | 0.0594630 | + | 0.0343310i | 0.00213185 | + | 0.00123083i | ||||
\(779\) | 7.91032 | − | 4.56702i | 0.283417 | − | 0.163631i | ||||
\(780\) | −33.7972 | + | 38.9013i | −1.21013 | + | 1.39289i | ||||
\(781\) | 0.0435929 | − | 0.0755051i | 0.00155988 | − | 0.00270179i | ||||
\(782\) | − | 1.71684i | − | 0.0613939i | ||||||
\(783\) | 2.68546 | + | 15.2087i | 0.0959706 | + | 0.543516i | ||||
\(784\) | 18.4661 | + | 20.7216i | 0.659503 | + | 0.740056i | ||||
\(785\) | −36.5181 | −1.30339 | ||||||||
\(786\) | 0.230266 | + | 0.971223i | 0.00821331 | + | 0.0346424i | ||||
\(787\) | −48.2280 | −1.71914 | −0.859572 | − | 0.511015i | \(-0.829270\pi\) | ||||
−0.859572 | + | 0.511015i | \(0.829270\pi\) | |||||||
\(788\) | −14.3873 | + | 24.9195i | −0.512526 | + | 0.887721i | ||||
\(789\) | −27.7501 | + | 6.57924i | −0.987931 | + | 0.234227i | ||||
\(790\) | 1.80228 | + | 1.04055i | 0.0641223 | + | 0.0370210i | ||||
\(791\) | −11.1919 | + | 1.14728i | −0.397937 | + | 0.0407925i | ||||
\(792\) | −0.00196635 | + | 0.0338539i | −6.98712e−5 | + | 0.00120295i | ||||
\(793\) | −9.09870 | + | 0.904677i | −0.323104 | + | 0.0321260i | ||||
\(794\) | 0.752140 | − | 1.30275i | 0.0266925 | − | 0.0462327i | ||||
\(795\) | 60.6502 | + | 18.1522i | 2.15104 | + | 0.643793i | ||||
\(796\) | − | 16.7956i | − | 0.595305i | ||||||
\(797\) | −19.4935 | − | 33.7637i | −0.690494 | − | 1.19597i | −0.971676 | − | 0.236316i | \(-0.924060\pi\) |
0.281182 | − | 0.959654i | \(-0.409273\pi\) | |||||||
\(798\) | 0.312973 | − | 0.108933i | 0.0110791 | − | 0.00385617i | ||||
\(799\) | 9.43667 | − | 5.44826i | 0.333845 | − | 0.192746i | ||||
\(800\) | 5.52827 | − | 9.57524i | 0.195454 | − | 0.338536i | ||||
\(801\) | −13.1856 | + | 20.0547i | −0.465891 | + | 0.708599i | ||||
\(802\) | −1.03347 | −0.0364930 | ||||||||
\(803\) | 0.245539 | 0.00866489 | ||||||||
\(804\) | −15.1420 | + | 3.59000i | −0.534018 | + | 0.126610i | ||||
\(805\) | 7.56880 | + | 73.8348i | 0.266765 | + | 2.60234i | ||||
\(806\) | 0.168921 | + | 1.69891i | 0.00594999 | + | 0.0598414i | ||||
\(807\) | 50.7208 | + | 15.1804i | 1.78546 | + | 0.534376i | ||||
\(808\) | 1.14394 | + | 1.98137i | 0.0402438 | + | 0.0697043i | ||||
\(809\) | −20.2841 | + | 11.7110i | −0.713152 | + | 0.411738i | −0.812227 | − | 0.583342i | \(-0.801745\pi\) |
0.0990751 | + | 0.995080i | \(0.468412\pi\) | |||||||
\(810\) | −2.27985 | − | 1.69616i | −0.0801059 | − | 0.0595969i | ||||
\(811\) | 32.2033 | 1.13081 | 0.565405 | − | 0.824813i | \(-0.308720\pi\) | ||||
0.565405 | + | 0.824813i | \(0.308720\pi\) | |||||||
\(812\) | 9.18484 | + | 12.7103i | 0.322325 | + | 0.446045i | ||||
\(813\) | 7.49811 | + | 2.24414i | 0.262970 | + | 0.0787053i | ||||
\(814\) | 0.0144328 | − | 0.00833280i | 0.000505870 | − | 0.000292064i | ||||
\(815\) | −71.8896 | −2.51818 | ||||||||
\(816\) | −21.8362 | − | 6.53542i | −0.764419 | − | 0.228785i | ||||
\(817\) | −6.74110 | −0.235841 | ||||||||
\(818\) | 1.36823 | 0.0478391 | ||||||||
\(819\) | 26.5729 | + | 10.6246i | 0.928531 | + | 0.371255i | ||||
\(820\) | −79.5280 | −2.77724 | ||||||||
\(821\) | −7.85463 | −0.274129 | −0.137064 | − | 0.990562i | \(-0.543767\pi\) | ||||
−0.137064 | + | 0.990562i | \(0.543767\pi\) | |||||||
\(822\) | 0.273641 | + | 0.0818988i | 0.00954431 | + | 0.00285655i | ||||
\(823\) | −8.29841 | −0.289265 | −0.144632 | − | 0.989485i | \(-0.546200\pi\) | ||||
−0.144632 | + | 0.989485i | \(0.546200\pi\) | |||||||
\(824\) | 3.51086 | − | 2.02700i | 0.122307 | − | 0.0706138i | ||||
\(825\) | −0.746058 | − | 0.223290i | −0.0259744 | − | 0.00777397i | ||||
\(826\) | 0.225455 | − | 0.502902i | 0.00784458 | − | 0.0174982i | ||||
\(827\) | −41.3091 | −1.43646 | −0.718229 | − | 0.695807i | \(-0.755047\pi\) | ||||
−0.718229 | + | 0.695807i | \(0.755047\pi\) | |||||||
\(828\) | 22.2820 | − | 33.8900i | 0.774354 | − | 1.17776i | ||||
\(829\) | 25.8750 | − | 14.9390i | 0.898677 | − | 0.518852i | 0.0219064 | − | 0.999760i | \(-0.493026\pi\) |
0.876771 | + | 0.480909i | \(0.159693\pi\) | |||||||
\(830\) | −0.0488085 | − | 0.0845388i | −0.00169417 | − | 0.00293438i | ||||
\(831\) | −2.73376 | − | 0.818197i | −0.0948331 | − | 0.0283829i | ||||
\(832\) | 23.0222 | − | 16.5299i | 0.798152 | − | 0.573070i | ||||
\(833\) | −15.4565 | − | 17.3444i | −0.535535 | − | 0.600947i | ||||
\(834\) | −1.76637 | + | 0.418786i | −0.0611643 | + | 0.0145014i | ||||
\(835\) | −63.6172 | −2.20156 | ||||||||
\(836\) | −0.0700981 | −0.00242439 | ||||||||
\(837\) | 31.7549 | − | 5.60707i | 1.09761 | − | 0.193809i | ||||
\(838\) | −0.122706 | + | 0.212533i | −0.00423880 | + | 0.00734182i | ||||
\(839\) | 21.4957 | − | 12.4106i | 0.742114 | − | 0.428460i | −0.0807232 | − | 0.996737i | \(-0.525723\pi\) |
0.822838 | + | 0.568277i | \(0.192390\pi\) | |||||||
\(840\) | −5.67652 | − | 1.08379i | −0.195859 | − | 0.0373945i | ||||
\(841\) | −10.0830 | − | 17.4643i | −0.347690 | − | 0.602217i | ||||
\(842\) | − | 0.641262i | − | 0.0220994i | ||||||
\(843\) | −12.6023 | − | 3.77180i | −0.434048 | − | 0.129908i | ||||
\(844\) | 11.8867 | − | 20.5884i | 0.409157 | − | 0.708681i | ||||
\(845\) | 10.5925 | + | 52.7397i | 0.364392 | + | 1.81430i | ||||
\(846\) | −0.750284 | − | 0.0435790i | −0.0257953 | − | 0.00149828i | ||||
\(847\) | −23.5859 | + | 17.0439i | −0.810422 | + | 0.585634i | ||||
\(848\) | −30.3322 | − | 17.5123i | −1.04161 | − | 0.601375i | ||||
\(849\) | −22.4920 | + | 5.33261i | −0.771925 | + | 0.183015i | ||||
\(850\) | −1.53492 | + | 2.65856i | −0.0526473 | + | 0.0911879i | ||||
\(851\) | −39.9236 | −1.36856 | ||||||||
\(852\) | −1.87306 | − | 7.90026i | −0.0641701 | − | 0.270659i | ||||
\(853\) | −7.68983 | −0.263295 | −0.131647 | − | 0.991297i | \(-0.542027\pi\) | ||||
−0.131647 | + | 0.991297i | \(0.542027\pi\) | |||||||
\(854\) | −0.299855 | − | 0.414951i | −0.0102608 | − | 0.0141993i | ||||
\(855\) | 6.46341 | − | 9.83055i | 0.221044 | − | 0.336198i | ||||
\(856\) | 2.44442i | 0.0835486i | ||||||||
\(857\) | 20.6313 | − | 35.7345i | 0.704753 | − | 1.22067i | −0.262028 | − | 0.965060i | \(-0.584391\pi\) |
0.966781 | − | 0.255607i | \(-0.0822754\pi\) | |||||||
\(858\) | 0.0133417 | + | 0.0115911i | 0.000455477 | + | 0.000395715i | ||||
\(859\) | −25.8881 | + | 14.9465i | −0.883291 | + | 0.509968i | −0.871742 | − | 0.489965i | \(-0.837009\pi\) |
−0.0115488 | + | 0.999933i | \(0.503676\pi\) | |||||||
\(860\) | 50.8297 | + | 29.3466i | 1.73328 | + | 1.00071i | ||||
\(861\) | 14.5179 | + | 41.7112i | 0.494769 | + | 1.42152i | ||||
\(862\) | 0.946045 | + | 1.63860i | 0.0322224 | + | 0.0558109i | ||||
\(863\) | 2.17476 | + | 3.76679i | 0.0740295 | + | 0.128223i | 0.900664 | − | 0.434517i | \(-0.143081\pi\) |
−0.826634 | + | 0.562739i | \(0.809747\pi\) | |||||||
\(864\) | 3.04723 | + | 3.62978i | 0.103669 | + | 0.123488i | ||||
\(865\) | 19.4869i | 0.662574i | ||||||||
\(866\) | −2.16999 | + | 1.25284i | −0.0737392 | + | 0.0425733i | ||||
\(867\) | −9.93123 | − | 2.97235i | −0.337282 | − | 0.100946i | ||||
\(868\) | 26.5383 | − | 19.1774i | 0.900770 | − | 0.650922i | ||||
\(869\) | −0.122235 | + | 0.211717i | −0.00414653 | + | 0.00718200i | ||||
\(870\) | −1.55715 | − | 0.466045i | −0.0527923 | − | 0.0158004i | ||||
\(871\) | −6.69048 | + | 14.8028i | −0.226698 | + | 0.501572i | ||||
\(872\) | −1.13289 | − | 0.654076i | −0.0383646 | − | 0.0221498i | ||||
\(873\) | 0.241778 | − | 4.16261i | 0.00818295 | − | 0.140883i | ||||
\(874\) | −0.424579 | − | 0.245131i | −0.0143616 | − | 0.00829167i | ||||
\(875\) | 31.8980 | − | 71.1520i | 1.07835 | − | 2.40538i | ||||
\(876\) | 16.6309 | − | 15.6930i | 0.561907 | − | 0.530217i | ||||
\(877\) | −12.7117 | − | 7.33912i | −0.429244 | − | 0.247824i | 0.269780 | − | 0.962922i | \(-0.413049\pi\) |
−0.699025 | + | 0.715098i | \(0.746382\pi\) | |||||||
\(878\) | − | 0.799695i | − | 0.0269884i | ||||||
\(879\) | 41.0570 | − | 9.73414i | 1.38482 | − | 0.328325i | ||||
\(880\) | 0.527012 | + | 0.304270i | 0.0177656 | + | 0.0102569i | ||||
\(881\) | −24.0995 | + | 41.7416i | −0.811933 | + | 1.40631i | 0.0995762 | + | 0.995030i | \(0.468251\pi\) |
−0.911509 | + | 0.411279i | \(0.865082\pi\) | |||||||
\(882\) | 0.233570 | + | 1.58524i | 0.00786470 | + | 0.0533777i | ||||
\(883\) | −57.1344 | −1.92273 | −0.961363 | − | 0.275283i | \(-0.911229\pi\) | ||||
−0.961363 | + | 0.275283i | \(0.911229\pi\) | |||||||
\(884\) | −19.3841 | + | 13.9177i | −0.651957 | + | 0.468103i | ||||
\(885\) | −4.51379 | − | 19.0384i | −0.151730 | − | 0.639970i | ||||
\(886\) | −0.926342 | + | 0.534824i | −0.0311211 | + | 0.0179678i | ||||
\(887\) | −15.4403 | −0.518436 | −0.259218 | − | 0.965819i | \(-0.583465\pi\) | ||||
−0.259218 | + | 0.965819i | \(0.583465\pi\) | |||||||
\(888\) | 0.891300 | − | 2.97801i | 0.0299101 | − | 0.0999356i | ||||
\(889\) | 25.6392 | − | 18.5276i | 0.859912 | − | 0.621397i | ||||
\(890\) | −1.26299 | − | 2.18756i | −0.0423355 | − | 0.0733273i | ||||
\(891\) | 0.199250 | − | 0.267818i | 0.00667514 | − | 0.00897225i | ||||
\(892\) | −0.0596187 | + | 0.103263i | −0.00199618 | + | 0.00345749i | ||||
\(893\) | − | 3.11162i | − | 0.104126i | ||||||
\(894\) | −2.10149 | + | 1.98297i | −0.0702843 | + | 0.0663204i | ||||
\(895\) | −40.4897 | + | 70.1302i | −1.35342 | + | 2.34419i | ||||
\(896\) | 5.85198 | + | 2.62349i | 0.195501 | + | 0.0876446i | ||||
\(897\) | −13.7952 | − | 40.0277i | −0.460609 | − | 1.33649i | ||||
\(898\) | −1.45574 | − | 2.52141i | −0.0485785 | − | 0.0841405i | ||||
\(899\) | 15.9737 | − | 9.22240i | 0.532751 | − | 0.307584i | ||||
\(900\) | −64.8032 | + | 32.5584i | −2.16011 | + | 1.08528i | ||||
\(901\) | 25.3887 | + | 14.6582i | 0.845819 | + | 0.488334i | ||||
\(902\) | 0.0272751i | 0.000908160i | ||||||||
\(903\) | 6.11281 | − | 32.0167i | 0.203422 | − | 1.06545i | ||||
\(904\) | −1.12233 | + | 0.647977i | −0.0373281 | + | 0.0215514i | ||||
\(905\) | 9.85183 | + | 17.0639i | 0.327486 | + | 0.567222i | ||||
\(906\) | −0.571690 | − | 0.605859i | −0.0189931 | − | 0.0201283i | ||||
\(907\) | 12.8992 | + | 22.3421i | 0.428312 | + | 0.741857i | 0.996723 | − | 0.0808868i | \(-0.0257752\pi\) |
−0.568412 | + | 0.822744i | \(0.692442\pi\) | |||||||
\(908\) | − | 21.1920i | − | 0.703282i | ||||||
\(909\) | 1.30590 | − | 22.4832i | 0.0433140 | − | 0.745722i | ||||
\(910\) | −2.25470 | + | 1.99697i | −0.0747424 | + | 0.0661990i | ||||
\(911\) | 36.3733i | 1.20510i | 0.798081 | + | 0.602550i | \(0.205849\pi\) | ||||
−0.798081 | + | 0.602550i | \(0.794151\pi\) | |||||||
\(912\) | −4.73401 | + | 4.46702i | −0.156759 | + | 0.147918i | ||||
\(913\) | 0.00993091 | − | 0.00573361i | 0.000328665 | − | 0.000189755i | ||||
\(914\) | 1.58460i | 0.0524139i | ||||||||
\(915\) | −17.4124 | − | 5.21140i | −0.575635 | − | 0.172284i | ||||
\(916\) | −14.8021 | − | 25.6379i | −0.489074 | − | 0.847100i | ||||
\(917\) | −2.03770 | − | 19.8781i | −0.0672908 | − | 0.656432i | ||||
\(918\) | −0.846061 | − | 1.00781i | −0.0279242 | − | 0.0332626i | ||||
\(919\) | 19.4501 | − | 33.6886i | 0.641601 | − | 1.11129i | −0.343475 | − | 0.939162i | \(-0.611604\pi\) |
0.985075 | − | 0.172123i | \(-0.0550628\pi\) | |||||||
\(920\) | 4.27482 | + | 7.40421i | 0.140937 | + | 0.244109i | ||||
\(921\) | −36.1378 | − | 10.8158i | −1.19078 | − | 0.356393i | ||||
\(922\) | −0.640638 | + | 0.369873i | −0.0210983 | + | 0.0121811i | ||||
\(923\) | −7.72325 | − | 3.49072i | −0.254214 | − | 0.114898i | ||||
\(924\) | 0.0635648 | − | 0.332929i | 0.00209113 | − | 0.0109526i | ||||
\(925\) | 61.8226 | + | 35.6933i | 2.03271 | + | 1.17359i | ||||
\(926\) | 0.246559i | 0.00810243i | ||||||||
\(927\) | −39.8389 | − | 2.31398i | −1.30848 | − | 0.0760009i | ||||
\(928\) | 2.34769 | + | 1.35544i | 0.0770667 | + | 0.0444945i | ||||
\(929\) | 14.2002 | + | 8.19850i | 0.465894 | + | 0.268984i | 0.714519 | − | 0.699616i | \(-0.246645\pi\) |
−0.248625 | + | 0.968600i | \(0.579979\pi\) | |||||||
\(930\) | −0.973071 | + | 3.25123i | −0.0319083 | + | 0.106612i | ||||
\(931\) | −6.49620 | + | 1.34600i | −0.212904 | + | 0.0441132i | ||||
\(932\) | −22.3203 | + | 12.8866i | −0.731125 | + | 0.422115i | ||||
\(933\) | 12.9097 | − | 12.1816i | 0.422645 | − | 0.398809i | ||||
\(934\) | −1.34446 | − | 2.32867i | −0.0439921 | − | 0.0761966i | ||||
\(935\) | −0.441119 | − | 0.254680i | −0.0144261 | − | 0.00832894i | ||||
\(936\) | 3.29376 | − | 0.135402i | 0.107660 | − | 0.00442574i | ||||
\(937\) | − | 31.0278i | − | 1.01364i | −0.862053 | − | 0.506818i | \(-0.830822\pi\) | ||
0.862053 | − | 0.506818i | \(-0.169178\pi\) | |||||||
\(938\) | −0.904799 | + | 0.0927509i | −0.0295427 | + | 0.00302843i | ||||
\(939\) | −11.5001 | + | 2.72654i | −0.375291 | + | 0.0889773i | ||||
\(940\) | −13.5461 | + | 23.4625i | −0.441824 | + | 0.765262i | ||||
\(941\) | 35.2269 | + | 20.3383i | 1.14837 | + | 0.663009i | 0.948488 | − | 0.316812i | \(-0.102612\pi\) |
0.199877 | + | 0.979821i | \(0.435946\pi\) | |||||||
\(942\) | 0.800458 | + | 0.848300i | 0.0260803 | + | 0.0276391i | ||||
\(943\) | 32.6696 | − | 56.5855i | 1.06387 | − | 1.84268i | ||||
\(944\) | 10.8248i | 0.352316i | ||||||||
\(945\) | 40.8290 | + | 39.6121i | 1.32817 | + | 1.28858i | ||||
\(946\) | 0.0100647 | − | 0.0174327i | 0.000327233 | − | 0.000566785i | ||||
\(947\) | 54.3803 | 1.76712 | 0.883561 | − | 0.468316i | \(-0.155139\pi\) | ||||
0.883561 | + | 0.468316i | \(0.155139\pi\) | |||||||
\(948\) | 5.25208 | + | 22.1524i | 0.170580 | + | 0.719476i | ||||
\(949\) | −2.36166 | − | 23.7521i | −0.0766627 | − | 0.771027i | ||||
\(950\) | 0.438314 | + | 0.759181i | 0.0142208 | + | 0.0246311i | ||||
\(951\) | 6.99338 | + | 29.4969i | 0.226776 | + | 0.956503i | ||||
\(952\) | −2.44195 | − | 1.09475i | −0.0791441 | − | 0.0354809i | ||||
\(953\) | −25.4462 | + | 14.6914i | −0.824283 | + | 0.475900i | −0.851891 | − | 0.523719i | \(-0.824544\pi\) |
0.0276082 | + | 0.999619i | \(0.491211\pi\) | |||||||
\(954\) | −0.907755 | − | 1.80677i | −0.0293896 | − | 0.0584963i | ||||
\(955\) | 40.0064 | 1.29458 | ||||||||
\(956\) | 41.0738 | 1.32842 | ||||||||
\(957\) | 0.0547470 | − | 0.182921i | 0.00176972 | − | 0.00591299i | ||||
\(958\) | −0.314005 | + | 0.181291i | −0.0101450 | + | 0.00585724i | ||||
\(959\) | −5.21785 | − | 2.33920i | −0.168493 | − | 0.0755368i | ||||
\(960\) | 54.8180 | − | 12.9967i | 1.76924 | − | 0.419468i | ||||
\(961\) | −3.75577 | − | 6.50518i | −0.121154 | − | 0.209844i | ||||
\(962\) | −0.944889 | − | 1.31601i | −0.0304644 | − | 0.0424298i | ||||
\(963\) | 13.2191 | − | 20.1056i | 0.425979 | − | 0.647894i | ||||
\(964\) | −8.02498 | −0.258467 | ||||||||
\(965\) | −0.279888 | + | 0.484780i | −0.00900990 | + | 0.0156056i | ||||
\(966\) | 1.54925 | − | 1.79424i | 0.0498463 | − | 0.0577288i | ||||
\(967\) | 35.7250i | 1.14884i | 0.818561 | + | 0.574419i | \(0.194772\pi\) | ||||
−0.818561 | + | 0.574419i | \(0.805228\pi\) | |||||||
\(968\) | −1.67600 | + | 2.90292i | −0.0538687 | + | 0.0933033i | ||||
\(969\) | 3.96246 | − | 3.73899i | 0.127293 | − | 0.120114i | ||||
\(970\) | 0.380037 | + | 0.219415i | 0.0122023 | + | 0.00704498i | ||||
\(971\) | 26.6384 | − | 46.1391i | 0.854867 | − | 1.48067i | −0.0219012 | − | 0.999760i | \(-0.506972\pi\) |
0.876768 | − | 0.480913i | \(-0.159695\pi\) | |||||||
\(972\) | −3.62119 | − | 30.8745i | −0.116150 | − | 0.990301i | ||||
\(973\) | 36.1523 | − | 3.70598i | 1.15899 | − | 0.118808i | ||||
\(974\) | − | 1.92581i | − | 0.0617069i | ||||||
\(975\) | −14.4241 | + | 74.3173i | −0.461942 | + | 2.38006i | ||||
\(976\) | 8.70821 | + | 5.02769i | 0.278743 | + | 0.160932i | ||||
\(977\) | −29.8372 | − | 51.6796i | −0.954578 | − | 1.65338i | −0.735332 | − | 0.677707i | \(-0.762974\pi\) |
−0.219246 | − | 0.975670i | \(-0.570360\pi\) | |||||||
\(978\) | 1.57578 | + | 1.66997i | 0.0503880 | + | 0.0533997i | ||||
\(979\) | 0.256977 | − | 0.148366i | 0.00821301 | − | 0.00474179i | ||||
\(980\) | 54.8428 | + | 18.1313i | 1.75189 | + | 0.579182i | ||||
\(981\) | 5.78101 | + | 11.5064i | 0.184573 | + | 0.367370i | ||||
\(982\) | −0.830681 | − | 0.479594i | −0.0265081 | − | 0.0153044i | ||||
\(983\) | 14.4910 | + | 8.36638i | 0.462191 | + | 0.266846i | 0.712965 | − | 0.701199i | \(-0.247352\pi\) |
−0.250774 | + | 0.968046i | \(0.580685\pi\) | |||||||
\(984\) | 3.49152 | + | 3.70020i | 0.111306 | + | 0.117958i | ||||
\(985\) | 59.7072i | 1.90243i | ||||||||
\(986\) | −0.651835 | − | 0.376337i | −0.0207587 | − | 0.0119850i | ||||
\(987\) | 14.7786 | + | 2.82161i | 0.470407 | + | 0.0898129i | ||||
\(988\) | 0.674222 | + | 6.78092i | 0.0214499 | + | 0.215730i | ||||
\(989\) | −41.7611 | + | 24.1108i | −1.32793 | + | 0.766679i | ||||
\(990\) | 0.0157719 | + | 0.0313920i | 0.000501265 | + | 0.000997703i | ||||
\(991\) | 1.12563 | + | 1.94965i | 0.0357568 | + | 0.0619326i | 0.883350 | − | 0.468714i | \(-0.155283\pi\) |
−0.847593 | + | 0.530647i | \(0.821949\pi\) | |||||||
\(992\) | 2.83007 | − | 4.90183i | 0.0898548 | − | 0.155633i | ||||
\(993\) | 6.49857 | + | 6.88698i | 0.206226 | + | 0.218552i | ||||
\(994\) | −0.0483923 | − | 0.472074i | −0.00153491 | − | 0.0149733i | ||||
\(995\) | −17.4255 | − | 30.1818i | −0.552424 | − | 0.956827i | ||||
\(996\) | 0.306195 | − | 1.02306i | 0.00970216 | − | 0.0324169i | ||||
\(997\) | − | 54.6206i | − | 1.72985i | −0.501900 | − | 0.864925i | \(-0.667366\pi\) | ||
0.501900 | − | 0.864925i | \(-0.332634\pi\) | |||||||
\(998\) | 1.51108 | − | 0.872422i | 0.0478324 | − | 0.0276160i | ||||
\(999\) | −23.4357 | + | 19.6744i | −0.741473 | + | 0.622472i |
(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 | 273.2.br.b.17.17 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.br.b.17.16 | yes | 64 | |
7.5 | odd | 6 | 273.2.y.b.173.16 | yes | 64 | ||
13.10 | even | 6 | 273.2.y.b.101.17 | yes | 64 | ||
21.5 | even | 6 | 273.2.y.b.173.17 | yes | 64 | ||
39.23 | odd | 6 | 273.2.y.b.101.16 | ✓ | 64 | ||
91.75 | odd | 6 | inner | 273.2.br.b.257.16 | yes | 64 | |
273.257 | even | 6 | inner | 273.2.br.b.257.17 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.y.b.101.16 | ✓ | 64 | 39.23 | odd | 6 | ||
273.2.y.b.101.17 | yes | 64 | 13.10 | even | 6 | ||
273.2.y.b.173.16 | yes | 64 | 7.5 | odd | 6 | ||
273.2.y.b.173.17 | yes | 64 | 21.5 | even | 6 | ||
273.2.br.b.17.16 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.br.b.17.17 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.br.b.257.16 | yes | 64 | 91.75 | odd | 6 | inner | |
273.2.br.b.257.17 | yes | 64 | 273.257 | even | 6 | inner |