Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
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, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (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 | 152.10 | ||
Character | \(\chi\) | \(=\) | 273.152 |
Dual form | 273.2.bf.b.185.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21710 | + | 0.702692i | −0.860619 | + | 0.496879i | −0.864219 | − | 0.503115i | \(-0.832187\pi\) |
0.00360060 | + | 0.999994i | \(0.498854\pi\) | |||||||
\(3\) | 1.65544 | − | 0.509428i | 0.955769 | − | 0.294119i | ||||
\(4\) | −0.0124468 | + | 0.0215586i | −0.00622342 | + | 0.0107793i | ||||
\(5\) | 1.48377 | − | 2.56997i | 0.663563 | − | 1.14933i | −0.316109 | − | 0.948723i | \(-0.602377\pi\) |
0.979673 | − | 0.200603i | \(-0.0642900\pi\) | |||||||
\(6\) | −1.65686 | + | 1.78329i | −0.676412 | + | 0.728025i | ||||
\(7\) | −2.30005 | − | 1.30759i | −0.869336 | − | 0.494221i | ||||
\(8\) | − | 2.84575i | − | 1.00613i | ||||||
\(9\) | 2.48097 | − | 1.68666i | 0.826988 | − | 0.562219i | ||||
\(10\) | 4.17054i | 1.31884i | ||||||||
\(11\) | − | 2.71980i | − | 0.820052i | −0.912074 | − | 0.410026i | \(-0.865520\pi\) | ||
0.912074 | − | 0.410026i | \(-0.134480\pi\) | |||||||
\(12\) | −0.00962246 | + | 0.0420297i | −0.00277776 | + | 0.0121329i | ||||
\(13\) | −3.51855 | − | 0.787262i | −0.975871 | − | 0.218347i | ||||
\(14\) | 3.71822 | − | 0.0247658i | 0.993735 | − | 0.00661894i | ||||
\(15\) | 1.14708 | − | 5.01031i | 0.296175 | − | 1.29366i | ||||
\(16\) | 1.97480 | + | 3.42045i | 0.493699 | + | 0.855112i | ||||
\(17\) | 0.233104 | − | 0.403748i | 0.0565360 | − | 0.0979232i | −0.836372 | − | 0.548162i | \(-0.815328\pi\) |
0.892908 | + | 0.450239i | \(0.148661\pi\) | |||||||
\(18\) | −1.83438 | + | 3.79618i | −0.432367 | + | 0.894769i | ||||
\(19\) | 2.58817i | 0.593767i | 0.954914 | + | 0.296884i | \(0.0959473\pi\) | ||||
−0.954914 | + | 0.296884i | \(0.904053\pi\) | |||||||
\(20\) | 0.0369366 | + | 0.0639760i | 0.00825927 | + | 0.0143055i | ||||
\(21\) | −4.47371 | − | 0.992919i | −0.976244 | − | 0.216673i | ||||
\(22\) | 1.91119 | + | 3.31027i | 0.407466 | + | 0.705752i | ||||
\(23\) | −2.09876 | + | 1.21172i | −0.437621 | + | 0.252661i | −0.702588 | − | 0.711597i | \(-0.747972\pi\) |
0.264967 | + | 0.964257i | \(0.414639\pi\) | |||||||
\(24\) | −1.44971 | − | 4.71098i | −0.295921 | − | 0.961624i | ||||
\(25\) | −1.90316 | − | 3.29638i | −0.380633 | − | 0.659275i | ||||
\(26\) | 4.83563 | − | 1.51429i | 0.948345 | − | 0.296976i | ||||
\(27\) | 3.24786 | − | 4.05603i | 0.625051 | − | 0.780584i | ||||
\(28\) | 0.0568180 | − | 0.0333104i | 0.0107376 | − | 0.00629508i | ||||
\(29\) | 7.22253 | + | 4.16993i | 1.34119 | + | 0.774336i | 0.986982 | − | 0.160830i | \(-0.0514172\pi\) |
0.354208 | + | 0.935167i | \(0.384751\pi\) | |||||||
\(30\) | 2.12459 | + | 6.90409i | 0.387896 | + | 1.26051i | ||||
\(31\) | 5.80759 | − | 3.35302i | 1.04307 | − | 0.602219i | 0.122372 | − | 0.992484i | \(-0.460950\pi\) |
0.920703 | + | 0.390265i | \(0.127617\pi\) | |||||||
\(32\) | 0.121947 | + | 0.0704059i | 0.0215573 | + | 0.0124461i | ||||
\(33\) | −1.38555 | − | 4.50247i | −0.241193 | − | 0.783780i | ||||
\(34\) | 0.655201i | 0.112366i | ||||||||
\(35\) | −6.77320 | + | 3.97090i | −1.14488 | + | 0.671204i | ||||
\(36\) | 0.00548172 | + | 0.0744796i | 0.000913620 | + | 0.0124133i | ||||
\(37\) | 5.67682 | + | 9.83255i | 0.933264 | + | 1.61646i | 0.777701 | + | 0.628635i | \(0.216386\pi\) |
0.155563 | + | 0.987826i | \(0.450281\pi\) | |||||||
\(38\) | −1.81869 | − | 3.15006i | −0.295030 | − | 0.511007i | ||||
\(39\) | −6.22581 | + | 0.489186i | −0.996927 | + | 0.0783325i | ||||
\(40\) | −7.31350 | − | 4.22245i | −1.15637 | − | 0.667629i | ||||
\(41\) | 4.19212 | − | 7.26096i | 0.654699 | − | 1.13397i | −0.327270 | − | 0.944931i | \(-0.606129\pi\) |
0.981969 | − | 0.189041i | \(-0.0605379\pi\) | |||||||
\(42\) | 6.14267 | − | 1.93516i | 0.947834 | − | 0.298602i | ||||
\(43\) | −2.24397 | − | 3.88666i | −0.342202 | − | 0.592711i | 0.642640 | − | 0.766169i | \(-0.277839\pi\) |
−0.984841 | + | 0.173458i | \(0.944506\pi\) | |||||||
\(44\) | 0.0586351 | + | 0.0338530i | 0.00883957 | + | 0.00510353i | ||||
\(45\) | −0.653469 | − | 8.87862i | −0.0974134 | − | 1.32355i | ||||
\(46\) | 1.70293 | − | 2.94956i | 0.251083 | − | 0.434889i | ||||
\(47\) | −4.26729 | + | 7.39117i | −0.622448 | + | 1.07811i | 0.366580 | + | 0.930387i | \(0.380529\pi\) |
−0.989028 | + | 0.147726i | \(0.952805\pi\) | |||||||
\(48\) | 5.01163 | + | 4.65633i | 0.723367 | + | 0.672083i | ||||
\(49\) | 3.58044 | + | 6.01502i | 0.511492 | + | 0.859288i | ||||
\(50\) | 4.63268 | + | 2.67468i | 0.655160 | + | 0.378257i | ||||
\(51\) | 0.180209 | − | 0.787130i | 0.0252343 | − | 0.110220i | ||||
\(52\) | 0.0607671 | − | 0.0660560i | 0.00842688 | − | 0.00916032i | ||||
\(53\) | −0.995744 | + | 0.574893i | −0.136776 | + | 0.0789676i | −0.566827 | − | 0.823837i | \(-0.691829\pi\) |
0.430051 | + | 0.902805i | \(0.358496\pi\) | |||||||
\(54\) | −1.10282 | + | 7.21884i | −0.150075 | + | 0.982360i | ||||
\(55\) | −6.98981 | − | 4.03557i | −0.942506 | − | 0.544156i | ||||
\(56\) | −3.72107 | + | 6.54537i | −0.497248 | + | 0.874662i | ||||
\(57\) | 1.31849 | + | 4.28456i | 0.174638 | + | 0.567504i | ||||
\(58\) | −11.7207 | −1.53900 | ||||||||
\(59\) | 5.19062 | − | 8.99042i | 0.675761 | − | 1.17045i | −0.300485 | − | 0.953787i | \(-0.597148\pi\) |
0.976246 | − | 0.216666i | \(-0.0695182\pi\) | |||||||
\(60\) | 0.0937375 | + | 0.0870919i | 0.0121015 | + | 0.0112435i | ||||
\(61\) | 9.12590i | 1.16845i | 0.811591 | + | 0.584226i | \(0.198602\pi\) | ||||
−0.811591 | + | 0.584226i | \(0.801398\pi\) | |||||||
\(62\) | −4.71228 | + | 8.16190i | −0.598460 | + | 1.03656i | ||||
\(63\) | −7.91179 | + | 0.635319i | −0.996791 | + | 0.0800426i | ||||
\(64\) | −8.09708 | −1.01214 | ||||||||
\(65\) | −7.24397 | + | 7.87446i | −0.898504 | + | 0.976706i | ||||
\(66\) | 4.85020 | + | 4.50634i | 0.597018 | + | 0.554692i | ||||
\(67\) | 4.45771 | 0.544596 | 0.272298 | − | 0.962213i | \(-0.412216\pi\) | ||||
0.272298 | + | 0.962213i | \(0.412216\pi\) | |||||||
\(68\) | 0.00580281 | + | 0.0100508i | 0.000703695 | + | 0.00121883i | ||||
\(69\) | −2.85708 | + | 3.07509i | −0.343952 | + | 0.370198i | ||||
\(70\) | 5.45334 | − | 9.59245i | 0.651799 | − | 1.14652i | ||||
\(71\) | −7.31046 | + | 4.22070i | −0.867593 | + | 0.500905i | −0.866547 | − | 0.499095i | \(-0.833666\pi\) |
−0.00104506 | + | 0.999999i | \(0.500333\pi\) | |||||||
\(72\) | −4.79981 | − | 7.06022i | −0.565663 | − | 0.832055i | ||||
\(73\) | −6.75653 | + | 3.90088i | −0.790792 | + | 0.456564i | −0.840241 | − | 0.542213i | \(-0.817587\pi\) |
0.0494495 | + | 0.998777i | \(0.484253\pi\) | |||||||
\(74\) | −13.8185 | − | 7.97812i | −1.60637 | − | 0.927438i | ||||
\(75\) | −4.82984 | − | 4.48743i | −0.557702 | − | 0.518164i | ||||
\(76\) | −0.0557973 | − | 0.0322146i | −0.00640038 | − | 0.00369526i | ||||
\(77\) | −3.55638 | + | 6.25568i | −0.405287 | + | 0.712901i | ||||
\(78\) | 7.23368 | − | 4.97022i | 0.819053 | − | 0.562766i | ||||
\(79\) | −1.45705 | + | 2.52368i | −0.163931 | + | 0.283936i | −0.936275 | − | 0.351268i | \(-0.885751\pi\) |
0.772344 | + | 0.635204i | \(0.219084\pi\) | |||||||
\(80\) | 11.7206 | 1.31040 | ||||||||
\(81\) | 3.31038 | − | 8.36907i | 0.367820 | − | 0.929897i | ||||
\(82\) | 11.7831i | 1.30122i | ||||||||
\(83\) | −10.6532 | −1.16934 | −0.584671 | − | 0.811271i | \(-0.698776\pi\) | ||||
−0.584671 | + | 0.811271i | \(0.698776\pi\) | |||||||
\(84\) | 0.0770895 | − | 0.0840881i | 0.00841116 | − | 0.00917477i | ||||
\(85\) | −0.691746 | − | 1.19814i | −0.0750304 | − | 0.129957i | ||||
\(86\) | 5.46226 | + | 3.15364i | 0.589011 | + | 0.340065i | ||||
\(87\) | 14.0807 | + | 3.22371i | 1.50961 | + | 0.345618i | ||||
\(88\) | −7.73990 | −0.825076 | ||||||||
\(89\) | −3.44068 | − | 5.95943i | −0.364711 | − | 0.631699i | 0.624018 | − | 0.781410i | \(-0.285499\pi\) |
−0.988730 | + | 0.149711i | \(0.952166\pi\) | |||||||
\(90\) | 7.03428 | + | 10.3470i | 0.741478 | + | 1.09067i | ||||
\(91\) | 7.06343 | + | 6.41155i | 0.740449 | + | 0.672113i | ||||
\(92\) | − | 0.0603282i | − | 0.00628965i | ||||||
\(93\) | 7.90600 | − | 8.50927i | 0.819814 | − | 0.882370i | ||||
\(94\) | − | 11.9944i | − | 1.23713i | ||||||
\(95\) | 6.65152 | + | 3.84026i | 0.682432 | + | 0.394002i | ||||
\(96\) | 0.237742 | + | 0.0544297i | 0.0242644 | + | 0.00555521i | ||||
\(97\) | 8.95629 | − | 5.17091i | 0.909373 | − | 0.525027i | 0.0291437 | − | 0.999575i | \(-0.490722\pi\) |
0.880229 | + | 0.474548i | \(0.157389\pi\) | |||||||
\(98\) | −8.58446 | − | 4.80492i | −0.867161 | − | 0.485370i | ||||
\(99\) | −4.58738 | − | 6.74774i | −0.461049 | − | 0.678173i | ||||
\(100\) | 0.0947535 | 0.00947535 | ||||||||
\(101\) | −6.64640 | −0.661341 | −0.330671 | − | 0.943746i | \(-0.607275\pi\) | ||||
−0.330671 | + | 0.943746i | \(0.607275\pi\) | |||||||
\(102\) | 0.333778 | + | 1.08465i | 0.0330490 | + | 0.107396i | ||||
\(103\) | 7.72448 | + | 4.45973i | 0.761116 | + | 0.439431i | 0.829696 | − | 0.558215i | \(-0.188514\pi\) |
−0.0685803 | + | 0.997646i | \(0.521847\pi\) | |||||||
\(104\) | −2.24035 | + | 10.0129i | −0.219685 | + | 0.981850i | ||||
\(105\) | −9.18975 | + | 10.0240i | −0.896827 | + | 0.978246i | ||||
\(106\) | 0.807946 | − | 1.39940i | 0.0784746 | − | 0.135922i | ||||
\(107\) | −0.100989 | + | 0.0583060i | −0.00976297 | + | 0.00563666i | −0.504874 | − | 0.863193i | \(-0.668461\pi\) |
0.495111 | + | 0.868830i | \(0.335128\pi\) | |||||||
\(108\) | 0.0470167 | + | 0.120504i | 0.00452418 | + | 0.0115955i | ||||
\(109\) | −2.10015 | − | 3.63757i | −0.201158 | − | 0.348416i | 0.747744 | − | 0.663987i | \(-0.231137\pi\) |
−0.948902 | + | 0.315572i | \(0.897804\pi\) | |||||||
\(110\) | 11.3431 | 1.08152 | ||||||||
\(111\) | 14.4066 | + | 13.3853i | 1.36742 | + | 1.27047i | ||||
\(112\) | −0.0696000 | − | 10.4494i | −0.00657659 | − | 0.987376i | ||||
\(113\) | 11.1270 | − | 6.42418i | 1.04674 | − | 0.604336i | 0.125005 | − | 0.992156i | \(-0.460105\pi\) |
0.921735 | + | 0.387820i | \(0.126772\pi\) | |||||||
\(114\) | −4.61546 | − | 4.28825i | −0.432277 | − | 0.401631i | ||||
\(115\) | 7.19165i | 0.670625i | ||||||||
\(116\) | −0.179795 | + | 0.103805i | −0.0166936 | + | 0.00963804i | ||||
\(117\) | −10.0572 | + | 3.98142i | −0.929793 | + | 0.368083i | ||||
\(118\) | 14.5896i | 1.34308i | ||||||||
\(119\) | −1.06408 | + | 0.623836i | −0.0975445 | + | 0.0571870i | ||||
\(120\) | −14.2581 | − | 3.26431i | −1.30158 | − | 0.297990i | ||||
\(121\) | 3.60267 | 0.327515 | ||||||||
\(122\) | −6.41270 | − | 11.1071i | −0.580578 | − | 1.00559i | ||||
\(123\) | 3.24086 | − | 14.1557i | 0.292219 | − | 1.27637i | ||||
\(124\) | 0.166938i | 0.0149915i | ||||||||
\(125\) | 3.54228 | 0.316831 | ||||||||
\(126\) | 9.18299 | − | 6.33280i | 0.818086 | − | 0.564170i | ||||
\(127\) | −0.679843 | + | 1.17752i | −0.0603263 | + | 0.104488i | −0.894611 | − | 0.446845i | \(-0.852547\pi\) |
0.834285 | + | 0.551333i | \(0.185881\pi\) | |||||||
\(128\) | 9.61105 | − | 5.54895i | 0.849505 | − | 0.490462i | ||||
\(129\) | −5.69473 | − | 5.29100i | −0.501393 | − | 0.465847i | ||||
\(130\) | 3.28331 | − | 14.6743i | 0.287965 | − | 1.28702i | ||||
\(131\) | 5.82910 | − | 10.0963i | 0.509291 | − | 0.882118i | −0.490651 | − | 0.871356i | \(-0.663241\pi\) |
0.999942 | − | 0.0107620i | \(-0.00342571\pi\) | |||||||
\(132\) | 0.114313 | + | 0.0261712i | 0.00994963 | + | 0.00227791i | ||||
\(133\) | 3.38425 | − | 5.95292i | 0.293452 | − | 0.516184i | ||||
\(134\) | −5.42548 | + | 3.13240i | −0.468690 | + | 0.270598i | ||||
\(135\) | −5.60480 | − | 14.3651i | −0.482385 | − | 1.23635i | ||||
\(136\) | −1.14897 | − | 0.663356i | −0.0985231 | − | 0.0568823i | ||||
\(137\) | 1.10479 | + | 0.637851i | 0.0943887 | + | 0.0544953i | 0.546451 | − | 0.837491i | \(-0.315978\pi\) |
−0.452063 | + | 0.891986i | \(0.649312\pi\) | |||||||
\(138\) | 1.31651 | − | 5.75034i | 0.112069 | − | 0.489502i | ||||
\(139\) | 3.59002 | − | 2.07270i | 0.304501 | − | 0.175804i | −0.339962 | − | 0.940439i | \(-0.610414\pi\) |
0.644463 | + | 0.764635i | \(0.277081\pi\) | |||||||
\(140\) | −0.00130180 | − | 0.195446i | −0.000110022 | − | 0.0165182i | ||||
\(141\) | −3.29898 | + | 14.4095i | −0.277824 | + | 1.21350i | ||||
\(142\) | 5.93171 | − | 10.2740i | 0.497778 | − | 0.862176i | ||||
\(143\) | −2.14120 | + | 9.56978i | −0.179056 | + | 0.800265i | ||||
\(144\) | 10.6685 | + | 5.15521i | 0.889044 | + | 0.429601i | ||||
\(145\) | 21.4332 | − | 12.3745i | 1.77993 | − | 1.02764i | ||||
\(146\) | 5.48224 | − | 9.49552i | 0.453714 | − | 0.785855i | ||||
\(147\) | 8.99143 | + | 8.13352i | 0.741601 | + | 0.670842i | ||||
\(148\) | −0.282634 | −0.0232324 | ||||||||
\(149\) | 12.4970i | 1.02380i | 0.859046 | + | 0.511899i | \(0.171058\pi\) | ||||
−0.859046 | + | 0.511899i | \(0.828942\pi\) | |||||||
\(150\) | 9.03168 | + | 2.06775i | 0.737433 | + | 0.168831i | ||||
\(151\) | 2.63468 | + | 4.56339i | 0.214407 | + | 0.371364i | 0.953089 | − | 0.302690i | \(-0.0978848\pi\) |
−0.738682 | + | 0.674054i | \(0.764552\pi\) | |||||||
\(152\) | 7.36530 | 0.597405 | ||||||||
\(153\) | −0.102661 | − | 1.39485i | −0.00829968 | − | 0.112767i | ||||
\(154\) | −0.0673581 | − | 10.1128i | −0.00542787 | − | 0.814914i | ||||
\(155\) | − | 19.9005i | − | 1.59844i | ||||||
\(156\) | 0.0669455 | − | 0.140308i | 0.00535993 | − | 0.0112337i | ||||
\(157\) | −0.305705 | + | 0.176499i | −0.0243979 | + | 0.0140861i | −0.512149 | − | 0.858896i | \(-0.671151\pi\) |
0.487751 | + | 0.872983i | \(0.337817\pi\) | |||||||
\(158\) | − | 4.09542i | − | 0.325814i | ||||||
\(159\) | −1.35553 | + | 1.45896i | −0.107500 | + | 0.115703i | ||||
\(160\) | 0.361882 | − | 0.208933i | 0.0286093 | − | 0.0165176i | ||||
\(161\) | 6.41166 | − | 0.0427060i | 0.505310 | − | 0.00336570i | ||||
\(162\) | 1.85183 | + | 12.5122i | 0.145493 | + | 0.983049i | ||||
\(163\) | −23.7010 | −1.85641 | −0.928205 | − | 0.372070i | \(-0.878648\pi\) | ||||
−0.928205 | + | 0.372070i | \(0.878648\pi\) | |||||||
\(164\) | 0.104357 | + | 0.180752i | 0.00814894 | + | 0.0141144i | ||||
\(165\) | −13.6271 | − | 3.11984i | −1.06086 | − | 0.242879i | ||||
\(166\) | 12.9660 | − | 7.48593i | 1.00636 | − | 0.581021i | ||||
\(167\) | 1.87878 | − | 3.25415i | 0.145385 | − | 0.251814i | −0.784132 | − | 0.620594i | \(-0.786891\pi\) |
0.929516 | + | 0.368781i | \(0.120225\pi\) | |||||||
\(168\) | −2.82560 | + | 12.7311i | −0.218000 | + | 0.982225i | ||||
\(169\) | 11.7604 | + | 5.54005i | 0.904649 | + | 0.426157i | ||||
\(170\) | 1.68385 | + | 0.972170i | 0.129145 | + | 0.0745620i | ||||
\(171\) | 4.36536 | + | 6.42116i | 0.333827 | + | 0.491039i | ||||
\(172\) | 0.111721 | 0.00851866 | ||||||||
\(173\) | 4.23157 | 0.321720 | 0.160860 | − | 0.986977i | \(-0.448573\pi\) | ||||
0.160860 | + | 0.986977i | \(0.448573\pi\) | |||||||
\(174\) | −19.4029 | + | 5.97086i | −1.47093 | + | 0.452650i | ||||
\(175\) | 0.0670754 | + | 10.0704i | 0.00507042 | + | 0.761249i | ||||
\(176\) | 9.30295 | − | 5.37106i | 0.701236 | − | 0.404859i | ||||
\(177\) | 4.01279 | − | 17.5273i | 0.301619 | − | 1.31744i | ||||
\(178\) | 8.37530 | + | 4.83548i | 0.627755 | + | 0.362435i | ||||
\(179\) | − | 1.00129i | − | 0.0748401i | −0.999300 | − | 0.0374201i | \(-0.988086\pi\) | ||
0.999300 | − | 0.0374201i | \(-0.0119140\pi\) | |||||||
\(180\) | 0.199544 | + | 0.0964230i | 0.0148731 | + | 0.00718694i | ||||
\(181\) | − | 4.63844i | − | 0.344773i | −0.985029 | − | 0.172386i | \(-0.944852\pi\) | ||
0.985029 | − | 0.172386i | \(-0.0551477\pi\) | |||||||
\(182\) | −13.1022 | − | 2.84007i | −0.971203 | − | 0.210520i | ||||
\(183\) | 4.64899 | + | 15.1074i | 0.343663 | + | 1.11677i | ||||
\(184\) | 3.44825 | + | 5.97255i | 0.254208 | + | 0.440302i | ||||
\(185\) | 33.6925 | 2.47712 | ||||||||
\(186\) | −3.64299 | + | 15.9121i | −0.267117 | + | 1.16673i | ||||
\(187\) | −1.09811 | − | 0.633997i | −0.0803021 | − | 0.0463624i | ||||
\(188\) | −0.106229 | − | 0.183993i | −0.00774752 | − | 0.0134191i | ||||
\(189\) | −12.7738 | + | 5.08222i | −0.929160 | + | 0.369677i | ||||
\(190\) | −10.7941 | −0.783085 | ||||||||
\(191\) | 2.70485i | 0.195716i | 0.995200 | + | 0.0978581i | \(0.0311991\pi\) | ||||
−0.995200 | + | 0.0978581i | \(0.968801\pi\) | |||||||
\(192\) | −13.4042 | + | 4.12488i | −0.967367 | + | 0.297688i | ||||
\(193\) | −24.2731 | −1.74722 | −0.873608 | − | 0.486631i | \(-0.838226\pi\) | ||||
−0.873608 | + | 0.486631i | \(0.838226\pi\) | |||||||
\(194\) | −7.26712 | + | 12.5870i | −0.521749 | + | 0.903696i | ||||
\(195\) | −7.98049 | + | 16.7260i | −0.571495 | + | 1.19777i | ||||
\(196\) | −0.174240 | + | 0.00232122i | −0.0124457 | + | 0.000165801i | ||||
\(197\) | −6.13256 | − | 3.54064i | −0.436927 | − | 0.252260i | 0.265366 | − | 0.964148i | \(-0.414507\pi\) |
−0.702293 | + | 0.711888i | \(0.747840\pi\) | |||||||
\(198\) | 10.3249 | + | 4.98915i | 0.733757 | + | 0.354564i | ||||
\(199\) | −16.6686 | − | 9.62360i | −1.18160 | − | 0.682199i | −0.225218 | − | 0.974308i | \(-0.572310\pi\) |
−0.956385 | + | 0.292109i | \(0.905643\pi\) | |||||||
\(200\) | −9.38068 | + | 5.41594i | −0.663314 | + | 0.382965i | ||||
\(201\) | 7.37948 | − | 2.27089i | 0.520508 | − | 0.160176i | ||||
\(202\) | 8.08932 | − | 4.67037i | 0.569163 | − | 0.328606i | ||||
\(203\) | −11.1596 | − | 19.0351i | −0.783252 | − | 1.33600i | ||||
\(204\) | 0.0147264 | + | 0.0136823i | 0.00103105 | + | 0.000957955i | ||||
\(205\) | −12.4403 | − | 21.5472i | −0.868869 | − | 1.50492i | ||||
\(206\) | −12.5353 | −0.873374 | ||||||||
\(207\) | −3.16319 | + | 6.54611i | −0.219857 | + | 0.454986i | ||||
\(208\) | −4.25564 | − | 13.5897i | −0.295075 | − | 0.942277i | ||||
\(209\) | 7.03932 | 0.486920 | ||||||||
\(210\) | 4.14101 | − | 18.6578i | 0.285757 | − | 1.28751i | ||||
\(211\) | −11.6667 | + | 20.2073i | −0.803169 | + | 1.39113i | 0.114351 | + | 0.993440i | \(0.463521\pi\) |
−0.917520 | + | 0.397690i | \(0.869812\pi\) | |||||||
\(212\) | − | 0.0286224i | − | 0.00196580i | ||||||
\(213\) | −9.95189 | + | 10.7113i | −0.681893 | + | 0.733924i | ||||
\(214\) | 0.0819424 | − | 0.141928i | 0.00560147 | − | 0.00970203i | ||||
\(215\) | −13.3181 | −0.908290 | ||||||||
\(216\) | −11.5425 | − | 9.24261i | −0.785366 | − | 0.628880i | ||||
\(217\) | −17.7421 | + | 0.118174i | −1.20441 | + | 0.00802219i | ||||
\(218\) | 5.11218 | + | 2.95152i | 0.346240 | + | 0.199902i | ||||
\(219\) | −9.19781 | + | 9.89965i | −0.621530 | + | 0.668956i | ||||
\(220\) | 0.174002 | − | 0.100460i | 0.0117312 | − | 0.00677303i | ||||
\(221\) | −1.13804 | + | 1.23709i | −0.0765531 | + | 0.0832160i | ||||
\(222\) | −26.9400 | − | 6.16776i | −1.80809 | − | 0.413953i | ||||
\(223\) | 4.43230 | + | 2.55899i | 0.296809 | + | 0.171363i | 0.641008 | − | 0.767534i | \(-0.278516\pi\) |
−0.344200 | + | 0.938897i | \(0.611850\pi\) | |||||||
\(224\) | −0.188421 | − | 0.321392i | −0.0125894 | − | 0.0214739i | ||||
\(225\) | −10.2815 | − | 4.96821i | −0.685436 | − | 0.331214i | ||||
\(226\) | −9.02844 | + | 15.6377i | −0.600563 | + | 1.04021i | ||||
\(227\) | −11.5535 | + | 20.0112i | −0.766832 | + | 1.32819i | 0.172441 | + | 0.985020i | \(0.444835\pi\) |
−0.939273 | + | 0.343172i | \(0.888499\pi\) | |||||||
\(228\) | −0.108780 | − | 0.0249046i | −0.00720413 | − | 0.00164935i | ||||
\(229\) | 21.6165 | + | 12.4803i | 1.42846 | + | 0.824720i | 0.996999 | − | 0.0774125i | \(-0.0246658\pi\) |
0.431458 | + | 0.902133i | \(0.357999\pi\) | |||||||
\(230\) | −5.05352 | − | 8.75295i | −0.333219 | − | 0.577153i | ||||
\(231\) | −2.70055 | + | 12.1676i | −0.177683 | + | 0.800571i | ||||
\(232\) | 11.8666 | − | 20.5535i | 0.779080 | − | 1.34941i | ||||
\(233\) | 10.3307 | + | 5.96443i | 0.676787 | + | 0.390743i | 0.798643 | − | 0.601805i | \(-0.205551\pi\) |
−0.121857 | + | 0.992548i | \(0.538885\pi\) | |||||||
\(234\) | 9.44295 | − | 11.9129i | 0.617305 | − | 0.778773i | ||||
\(235\) | 12.6634 | + | 21.9336i | 0.826068 | + | 1.43079i | ||||
\(236\) | 0.129214 | + | 0.223805i | 0.00841109 | + | 0.0145684i | ||||
\(237\) | −1.12642 | + | 4.92006i | −0.0731689 | + | 0.319592i | ||||
\(238\) | 0.856731 | − | 1.50699i | 0.0555336 | − | 0.0976839i | ||||
\(239\) | − | 10.2941i | − | 0.665868i | −0.942950 | − | 0.332934i | \(-0.891961\pi\) | ||
0.942950 | − | 0.332934i | \(-0.108039\pi\) | |||||||
\(240\) | 19.4027 | − | 5.97081i | 1.25244 | − | 0.385414i | ||||
\(241\) | 13.7616 | + | 7.94527i | 0.886464 | + | 0.511800i | 0.872784 | − | 0.488106i | \(-0.162312\pi\) |
0.0136795 | + | 0.999906i | \(0.495646\pi\) | |||||||
\(242\) | −4.38480 | + | 2.53157i | −0.281866 | + | 0.162735i | ||||
\(243\) | 1.21669 | − | 15.5409i | 0.0780505 | − | 0.996949i | ||||
\(244\) | −0.196741 | − | 0.113589i | −0.0125951 | − | 0.00727177i | ||||
\(245\) | 20.7710 | − | 0.276709i | 1.32701 | − | 0.0176783i | ||||
\(246\) | 6.00264 | + | 19.5062i | 0.382714 | + | 1.24367i | ||||
\(247\) | 2.03757 | − | 9.10662i | 0.129647 | − | 0.579440i | ||||
\(248\) | −9.54186 | − | 16.5270i | −0.605909 | − | 1.04946i | ||||
\(249\) | −17.6358 | + | 5.42705i | −1.11762 | + | 0.343925i | ||||
\(250\) | −4.31130 | + | 2.48913i | −0.272671 | + | 0.157426i | ||||
\(251\) | 8.02838 | + | 13.9056i | 0.506747 | + | 0.877712i | 0.999970 | + | 0.00780844i | \(0.00248553\pi\) |
−0.493222 | + | 0.869903i | \(0.664181\pi\) | |||||||
\(252\) | 0.0847802 | − | 0.178474i | 0.00534065 | − | 0.0112428i | ||||
\(253\) | 3.29563 | + | 5.70821i | 0.207195 | + | 0.358872i | ||||
\(254\) | − | 1.91088i | − | 0.119899i | ||||||
\(255\) | −1.75551 | − | 1.63105i | −0.109934 | − | 0.102141i | ||||
\(256\) | 0.298678 | − | 0.517325i | 0.0186674 | − | 0.0323328i | ||||
\(257\) | 5.49333 | + | 9.51472i | 0.342664 | + | 0.593512i | 0.984927 | − | 0.172973i | \(-0.0553373\pi\) |
−0.642262 | + | 0.766485i | \(0.722004\pi\) | |||||||
\(258\) | 10.6490 | + | 2.43803i | 0.662978 | + | 0.151785i | ||||
\(259\) | −0.200075 | − | 30.0383i | −0.0124320 | − | 1.86649i | ||||
\(260\) | −0.0795974 | − | 0.254182i | −0.00493642 | − | 0.0157637i | ||||
\(261\) | 24.9521 | − | 1.83648i | 1.54450 | − | 0.113675i | ||||
\(262\) | 16.3843i | 1.01222i | ||||||||
\(263\) | 6.93143i | 0.427410i | 0.976898 | + | 0.213705i | \(0.0685532\pi\) | ||||
−0.976898 | + | 0.213705i | \(0.931447\pi\) | |||||||
\(264\) | −12.8129 | + | 3.94292i | −0.788582 | + | 0.242670i | ||||
\(265\) | 3.41204i | 0.209600i | ||||||||
\(266\) | 0.0640981 | + | 9.62338i | 0.00393011 | + | 0.590047i | ||||
\(267\) | −8.73175 | − | 8.11271i | −0.534374 | − | 0.496490i | ||||
\(268\) | −0.0554844 | + | 0.0961019i | −0.00338925 | + | 0.00587036i | ||||
\(269\) | −3.57872 | + | 6.19852i | −0.218198 | + | 0.377931i | −0.954257 | − | 0.298987i | \(-0.903351\pi\) |
0.736059 | + | 0.676918i | \(0.236685\pi\) | |||||||
\(270\) | 16.9159 | + | 13.5453i | 1.02947 | + | 0.824343i | ||||
\(271\) | 12.1343 | − | 7.00577i | 0.737109 | − | 0.425570i | −0.0839081 | − | 0.996473i | \(-0.526740\pi\) |
0.821017 | + | 0.570903i | \(0.193407\pi\) | |||||||
\(272\) | 1.84133 | 0.111647 | ||||||||
\(273\) | 14.9593 | + | 7.01562i | 0.905379 | + | 0.424605i | ||||
\(274\) | −1.79285 | −0.108310 | ||||||||
\(275\) | −8.96550 | + | 5.17623i | −0.540640 | + | 0.312139i | ||||
\(276\) | −0.0307329 | − | 0.0998698i | −0.00184990 | − | 0.00601145i | ||||
\(277\) | 11.8084 | − | 20.4527i | 0.709497 | − | 1.22888i | −0.255547 | − | 0.966797i | \(-0.582256\pi\) |
0.965044 | − | 0.262088i | \(-0.0844111\pi\) | |||||||
\(278\) | −2.91294 | + | 5.04536i | −0.174706 | + | 0.302600i | ||||
\(279\) | 8.75305 | − | 18.1141i | 0.524031 | − | 1.08446i | ||||
\(280\) | 11.3002 | + | 19.2749i | 0.675316 | + | 1.15189i | ||||
\(281\) | 16.8039i | 1.00244i | 0.865320 | + | 0.501219i | \(0.167115\pi\) | ||||
−0.865320 | + | 0.501219i | \(0.832885\pi\) | |||||||
\(282\) | −6.11027 | − | 19.8560i | −0.363862 | − | 1.18241i | ||||
\(283\) | − | 8.94217i | − | 0.531557i | −0.964034 | − | 0.265778i | \(-0.914371\pi\) | ||
0.964034 | − | 0.265778i | \(-0.0856289\pi\) | |||||||
\(284\) | − | 0.210137i | − | 0.0124694i | ||||||
\(285\) | 12.9675 | + | 2.96884i | 0.768131 | + | 0.175859i | ||||
\(286\) | −4.11856 | − | 13.1520i | −0.243536 | − | 0.777692i | ||||
\(287\) | −19.1364 | + | 11.2190i | −1.12959 | + | 0.662237i | ||||
\(288\) | 0.421296 | − | 0.0310075i | 0.0248251 | − | 0.00182713i | ||||
\(289\) | 8.39133 | + | 14.5342i | 0.493607 | + | 0.854953i | ||||
\(290\) | −17.3909 | + | 30.1219i | −1.02123 | + | 1.76882i | ||||
\(291\) | 12.1924 | − | 13.1227i | 0.714730 | − | 0.769268i | ||||
\(292\) | − | 0.194215i | − | 0.0113656i | ||||||
\(293\) | −8.37506 | − | 14.5060i | −0.489277 | − | 0.847452i | 0.510647 | − | 0.859790i | \(-0.329406\pi\) |
−0.999924 | + | 0.0123385i | \(0.996072\pi\) | |||||||
\(294\) | −16.6588 | − | 3.58109i | −0.971562 | − | 0.208854i | ||||
\(295\) | −15.4034 | − | 26.6795i | −0.896821 | − | 1.55334i | ||||
\(296\) | 27.9810 | − | 16.1548i | 1.62636 | − | 0.938981i | ||||
\(297\) | −11.0316 | − | 8.83354i | −0.640119 | − | 0.512574i | ||||
\(298\) | −8.78157 | − | 15.2101i | −0.508703 | − | 0.881099i | ||||
\(299\) | 8.33853 | − | 2.61122i | 0.482229 | − | 0.151011i | ||||
\(300\) | 0.156859 | − | 0.0482701i | 0.00905625 | − | 0.00278688i | ||||
\(301\) | 0.0790867 | + | 11.8737i | 0.00455848 | + | 0.684388i | ||||
\(302\) | −6.41332 | − | 3.70273i | −0.369045 | − | 0.213068i | ||||
\(303\) | −11.0027 | + | 3.38586i | −0.632089 | + | 0.194513i | ||||
\(304\) | −8.85271 | + | 5.11111i | −0.507737 | + | 0.293142i | ||||
\(305\) | 23.4533 | + | 13.5408i | 1.34293 | + | 0.775342i | ||||
\(306\) | 1.10510 | + | 1.62553i | 0.0631743 | + | 0.0929254i | ||||
\(307\) | − | 2.98509i | − | 0.170368i | −0.996365 | − | 0.0851842i | \(-0.972852\pi\) | ||
0.996365 | − | 0.0851842i | \(-0.0271479\pi\) | |||||||
\(308\) | −0.0905978 | − | 0.154534i | −0.00516229 | − | 0.00880538i | ||||
\(309\) | 15.0593 | + | 3.44775i | 0.856696 | + | 0.196136i | ||||
\(310\) | 13.9839 | + | 24.2208i | 0.794232 | + | 1.37565i | ||||
\(311\) | −1.42109 | − | 2.46141i | −0.0805828 | − | 0.139574i | 0.822918 | − | 0.568161i | \(-0.192345\pi\) |
−0.903500 | + | 0.428587i | \(0.859011\pi\) | |||||||
\(312\) | 1.39210 | + | 17.7171i | 0.0788124 | + | 1.00303i | ||||
\(313\) | −7.32752 | − | 4.23055i | −0.414176 | − | 0.239125i | 0.278406 | − | 0.960463i | \(-0.410194\pi\) |
−0.692582 | + | 0.721339i | \(0.743527\pi\) | |||||||
\(314\) | 0.248049 | − | 0.429633i | 0.0139982 | − | 0.0242456i | ||||
\(315\) | −10.1065 | + | 21.2757i | −0.569439 | + | 1.19875i | ||||
\(316\) | −0.0362713 | − | 0.0628237i | −0.00204042 | − | 0.00353411i | ||||
\(317\) | −24.6025 | − | 14.2043i | −1.38182 | − | 0.797792i | −0.389442 | − | 0.921051i | \(-0.627332\pi\) |
−0.992375 | + | 0.123259i | \(0.960666\pi\) | |||||||
\(318\) | 0.624610 | − | 2.72822i | 0.0350264 | − | 0.152991i | ||||
\(319\) | 11.3414 | − | 19.6439i | 0.634996 | − | 1.09985i | ||||
\(320\) | −12.0142 | + | 20.8093i | −0.671616 | + | 1.16327i | ||||
\(321\) | −0.137479 | + | 0.147969i | −0.00767330 | + | 0.00825881i | ||||
\(322\) | −7.77362 | + | 4.55741i | −0.433207 | + | 0.253974i | ||||
\(323\) | 1.04497 | + | 0.603313i | 0.0581436 | + | 0.0335692i | ||||
\(324\) | 0.139221 | + | 0.175536i | 0.00773453 | + | 0.00975197i | ||||
\(325\) | 4.10127 | + | 13.0968i | 0.227498 | + | 0.726478i | ||||
\(326\) | 28.8465 | − | 16.6545i | 1.59766 | − | 0.922410i | ||||
\(327\) | −5.32975 | − | 4.95190i | −0.294736 | − | 0.273841i | ||||
\(328\) | −20.6629 | − | 11.9297i | −1.14092 | − | 0.658710i | ||||
\(329\) | 19.4796 | − | 11.4202i | 1.07394 | − | 0.629615i | ||||
\(330\) | 18.7778 | − | 5.77848i | 1.03368 | − | 0.318095i | ||||
\(331\) | −24.7098 | −1.35817 | −0.679086 | − | 0.734059i | \(-0.737624\pi\) | ||||
−0.679086 | + | 0.734059i | \(0.737624\pi\) | |||||||
\(332\) | 0.132599 | − | 0.229668i | 0.00727731 | − | 0.0126047i | ||||
\(333\) | 30.6681 | + | 14.8194i | 1.68060 | + | 0.812095i | ||||
\(334\) | 5.28083i | 0.288954i | ||||||||
\(335\) | 6.61423 | − | 11.4562i | 0.361374 | − | 0.625918i | ||||
\(336\) | −5.43845 | − | 17.2629i | −0.296692 | − | 0.941769i | ||||
\(337\) | −4.13151 | −0.225057 | −0.112529 | − | 0.993648i | \(-0.535895\pi\) | ||||
−0.112529 | + | 0.993648i | \(0.535895\pi\) | |||||||
\(338\) | −18.2066 | + | 1.52119i | −0.990307 | + | 0.0827416i | ||||
\(339\) | 15.1474 | − | 16.3033i | 0.822695 | − | 0.885471i | ||||
\(340\) | 0.0344402 | 0.00186778 | ||||||||
\(341\) | −9.11954 | − | 15.7955i | −0.493851 | − | 0.855375i | ||||
\(342\) | −9.82517 | − | 4.74769i | −0.531285 | − | 0.256726i | ||||
\(343\) | −0.370042 | − | 18.5166i | −0.0199804 | − | 0.999800i | ||||
\(344\) | −11.0605 | + | 6.38578i | −0.596342 | + | 0.344298i | ||||
\(345\) | 3.66363 | + | 11.9054i | 0.197243 | + | 0.640963i | ||||
\(346\) | −5.15024 | + | 2.97349i | −0.276878 | + | 0.159856i | ||||
\(347\) | −8.01426 | − | 4.62703i | −0.430228 | − | 0.248392i | 0.269216 | − | 0.963080i | \(-0.413236\pi\) |
−0.699444 | + | 0.714688i | \(0.746569\pi\) | |||||||
\(348\) | −0.244759 | + | 0.263436i | −0.0131205 | + | 0.0141216i | ||||
\(349\) | 7.84315 | + | 4.52825i | 0.419834 | + | 0.242391i | 0.695006 | − | 0.719004i | \(-0.255402\pi\) |
−0.275172 | + | 0.961395i | \(0.588735\pi\) | |||||||
\(350\) | −7.15801 | − | 12.2095i | −0.382612 | − | 0.652626i | ||||
\(351\) | −14.6209 | + | 11.7145i | −0.780407 | + | 0.625272i | ||||
\(352\) | 0.191490 | − | 0.331671i | 0.0102065 | − | 0.0176781i | ||||
\(353\) | 11.7797 | 0.626968 | 0.313484 | − | 0.949593i | \(-0.398504\pi\) | ||||
0.313484 | + | 0.949593i | \(0.398504\pi\) | |||||||
\(354\) | 7.43238 | + | 24.1523i | 0.395026 | + | 1.28368i | ||||
\(355\) | 25.0502i | 1.32953i | ||||||||
\(356\) | 0.171302 | 0.00907901 | ||||||||
\(357\) | −1.44373 | + | 1.57480i | −0.0764102 | + | 0.0833472i | ||||
\(358\) | 0.703600 | + | 1.21867i | 0.0371864 | + | 0.0644088i | ||||
\(359\) | −1.14560 | − | 0.661413i | −0.0604625 | − | 0.0349080i | 0.469464 | − | 0.882952i | \(-0.344447\pi\) |
−0.529927 | + | 0.848044i | \(0.677780\pi\) | |||||||
\(360\) | −25.2664 | + | 1.85961i | −1.33166 | + | 0.0980102i | ||||
\(361\) | 12.3014 | 0.647440 | ||||||||
\(362\) | 3.25940 | + | 5.64544i | 0.171310 | + | 0.296718i | ||||
\(363\) | 5.96400 | − | 1.83530i | 0.313029 | − | 0.0963283i | ||||
\(364\) | −0.226141 | + | 0.0724739i | −0.0118530 | + | 0.00379866i | ||||
\(365\) | 23.1521i | 1.21184i | ||||||||
\(366\) | −16.2741 | − | 15.1204i | −0.850662 | − | 0.790354i | ||||
\(367\) | − | 5.82994i | − | 0.304320i | −0.988356 | − | 0.152160i | \(-0.951377\pi\) | ||
0.988356 | − | 0.152160i | \(-0.0486230\pi\) | |||||||
\(368\) | −8.28923 | − | 4.78579i | −0.432106 | − | 0.249477i | ||||
\(369\) | −1.84625 | − | 25.0849i | −0.0961120 | − | 1.30587i | ||||
\(370\) | −41.0071 | + | 23.6754i | −2.13186 | + | 1.23083i | ||||
\(371\) | 3.04198 | − | 0.0202616i | 0.157932 | − | 0.00105193i | ||||
\(372\) | 0.0850429 | + | 0.276356i | 0.00440927 | + | 0.0143284i | ||||
\(373\) | 3.23740 | 0.167626 | 0.0838130 | − | 0.996482i | \(-0.473290\pi\) | ||||
0.0838130 | + | 0.996482i | \(0.473290\pi\) | |||||||
\(374\) | 1.78202 | 0.0921460 | ||||||||
\(375\) | 5.86403 | − | 1.80454i | 0.302817 | − | 0.0931859i | ||||
\(376\) | 21.0334 | + | 12.1437i | 1.08472 | + | 0.626262i | ||||
\(377\) | −22.1300 | − | 20.3581i | −1.13975 | − | 1.04850i | ||||
\(378\) | 11.9758 | − | 15.1616i | 0.615968 | − | 0.779831i | ||||
\(379\) | −11.8507 | + | 20.5261i | −0.608731 | + | 1.05435i | 0.382719 | + | 0.923865i | \(0.374988\pi\) |
−0.991450 | + | 0.130488i | \(0.958346\pi\) | |||||||
\(380\) | −0.165581 | + | 0.0955982i | −0.00849412 | + | 0.00490408i | ||||
\(381\) | −0.525576 | + | 2.29565i | −0.0269261 | + | 0.117610i | ||||
\(382\) | −1.90068 | − | 3.29207i | −0.0972472 | − | 0.168437i | ||||
\(383\) | −35.5991 | −1.81903 | −0.909515 | − | 0.415671i | \(-0.863547\pi\) | ||||
−0.909515 | + | 0.415671i | \(0.863547\pi\) | |||||||
\(384\) | 13.0837 | − | 14.0821i | 0.667677 | − | 0.718624i | ||||
\(385\) | 10.8001 | + | 18.4218i | 0.550422 | + | 0.938861i | ||||
\(386\) | 29.5428 | − | 17.0565i | 1.50369 | − | 0.868154i | ||||
\(387\) | −12.1227 | − | 5.85788i | −0.616230 | − | 0.297773i | ||||
\(388\) | 0.257446i | 0.0130699i | ||||||||
\(389\) | −0.288306 | + | 0.166454i | −0.0146177 | + | 0.00843954i | −0.507291 | − | 0.861775i | \(-0.669353\pi\) |
0.492673 | + | 0.870214i | \(0.336020\pi\) | |||||||
\(390\) | −2.04017 | − | 25.9650i | −0.103308 | − | 1.31479i | ||||
\(391\) | 1.12982i | 0.0571377i | ||||||||
\(392\) | 17.1173 | − | 10.1891i | 0.864552 | − | 0.514625i | ||||
\(393\) | 4.50639 | − | 19.6833i | 0.227317 | − | 0.992893i | ||||
\(394\) | 9.95192 | 0.501370 | ||||||||
\(395\) | 4.32385 | + | 7.48913i | 0.217557 | + | 0.376819i | ||||
\(396\) | 0.202570 | − | 0.0149092i | 0.0101795 | − | 0.000749215i | ||||
\(397\) | 29.6338i | 1.48728i | 0.668581 | + | 0.743639i | \(0.266902\pi\) | ||||
−0.668581 | + | 0.743639i | \(0.733098\pi\) | |||||||
\(398\) | 27.0497 | 1.35588 | ||||||||
\(399\) | 2.56984 | − | 11.5787i | 0.128653 | − | 0.579662i | ||||
\(400\) | 7.51672 | − | 13.0193i | 0.375836 | − | 0.650967i | ||||
\(401\) | −8.55524 | + | 4.93937i | −0.427228 | + | 0.246660i | −0.698165 | − | 0.715937i | \(-0.746000\pi\) |
0.270937 | + | 0.962597i | \(0.412667\pi\) | |||||||
\(402\) | −7.38582 | + | 7.94939i | −0.368371 | + | 0.396480i | ||||
\(403\) | −23.0740 | + | 7.22567i | −1.14940 | + | 0.359936i | ||||
\(404\) | 0.0827267 | − | 0.143287i | 0.00411581 | − | 0.00712878i | ||||
\(405\) | −16.5964 | − | 20.9254i | −0.824683 | − | 1.03979i | ||||
\(406\) | 26.9582 | + | 15.3258i | 1.33791 | + | 0.760608i | ||||
\(407\) | 26.7426 | − | 15.4398i | 1.32558 | − | 0.765325i | ||||
\(408\) | −2.23998 | − | 0.512830i | −0.110895 | − | 0.0253889i | ||||
\(409\) | 2.89726 | + | 1.67273i | 0.143260 | + | 0.0827113i | 0.569917 | − | 0.821702i | \(-0.306975\pi\) |
−0.426657 | + | 0.904414i | \(0.640309\pi\) | |||||||
\(410\) | 30.2822 | + | 17.4834i | 1.49553 | + | 0.863444i | ||||
\(411\) | 2.15385 | + | 0.493113i | 0.106242 | + | 0.0243235i | ||||
\(412\) | −0.192291 | + | 0.111019i | −0.00947349 | + | 0.00546952i | ||||
\(413\) | −23.6944 | + | 13.8912i | −1.16593 | + | 0.683542i | ||||
\(414\) | −0.749988 | − | 10.1900i | −0.0368599 | − | 0.500812i | ||||
\(415\) | −15.8069 | + | 27.3784i | −0.775932 | + | 1.34395i | ||||
\(416\) | −0.373648 | − | 0.343731i | −0.0183196 | − | 0.0168528i | ||||
\(417\) | 4.88717 | − | 5.26009i | 0.239326 | − | 0.257588i | ||||
\(418\) | −8.56755 | + | 4.94648i | −0.419052 | + | 0.241940i | ||||
\(419\) | 7.87912 | − | 13.6470i | 0.384920 | − | 0.666702i | −0.606838 | − | 0.794826i | \(-0.707562\pi\) |
0.991758 | + | 0.128124i | \(0.0408956\pi\) | |||||||
\(420\) | −0.101721 | − | 0.322885i | −0.00496346 | − | 0.0157552i | ||||
\(421\) | −1.57179 | −0.0766041 | −0.0383021 | − | 0.999266i | \(-0.512195\pi\) | ||||
−0.0383021 | + | 0.999266i | \(0.512195\pi\) | |||||||
\(422\) | − | 32.7924i | − | 1.59631i | ||||||
\(423\) | 1.87936 | + | 25.5347i | 0.0913776 | + | 1.24154i | ||||
\(424\) | 1.63600 | + | 2.83364i | 0.0794514 | + | 0.137614i | ||||
\(425\) | −1.77454 | −0.0860778 | ||||||||
\(426\) | 4.58571 | − | 20.0298i | 0.222178 | − | 0.970447i | ||||
\(427\) | 11.9329 | − | 20.9900i | 0.577473 | − | 1.01578i | ||||
\(428\) | − | 0.00290290i | − | 0.000140317i | ||||||
\(429\) | 1.33049 | + | 16.9330i | 0.0642367 | + | 0.817532i | ||||
\(430\) | 16.2095 | − | 9.35856i | 0.781692 | − | 0.451310i | ||||
\(431\) | 35.3995i | 1.70514i | 0.522617 | + | 0.852568i | \(0.324956\pi\) | ||||
−0.522617 | + | 0.852568i | \(0.675044\pi\) | |||||||
\(432\) | 20.2873 | + | 3.09929i | 0.976074 | + | 0.149115i | ||||
\(433\) | 31.5305 | − | 18.2041i | 1.51526 | − | 0.874834i | 0.515417 | − | 0.856939i | \(-0.327637\pi\) |
0.999840 | − | 0.0178948i | \(-0.00569638\pi\) | |||||||
\(434\) | 21.5108 | − | 12.6111i | 1.03255 | − | 0.605350i | ||||
\(435\) | 29.1775 | − | 31.4038i | 1.39895 | − | 1.50570i | ||||
\(436\) | 0.104561 | 0.00500756 | ||||||||
\(437\) | −3.13613 | − | 5.43194i | −0.150022 | − | 0.259845i | ||||
\(438\) | 4.23823 | − | 18.5121i | 0.202511 | − | 0.884541i | ||||
\(439\) | −28.2871 | + | 16.3316i | −1.35007 | + | 0.779464i | −0.988259 | − | 0.152786i | \(-0.951175\pi\) |
−0.361813 | + | 0.932251i | \(0.617842\pi\) | |||||||
\(440\) | −11.4842 | + | 19.8913i | −0.547490 | + | 0.948280i | ||||
\(441\) | 19.0282 | + | 8.88407i | 0.906106 | + | 0.423051i | ||||
\(442\) | 0.515815 | − | 2.30536i | 0.0245348 | − | 0.109655i | ||||
\(443\) | −4.64059 | − | 2.67925i | −0.220481 | − | 0.127295i | 0.385692 | − | 0.922628i | \(-0.373963\pi\) |
−0.606173 | + | 0.795333i | \(0.707296\pi\) | |||||||
\(444\) | −0.467884 | + | 0.143982i | −0.0222048 | + | 0.00683308i | ||||
\(445\) | −20.4208 | −0.968037 | ||||||||
\(446\) | −7.19273 | −0.340586 | ||||||||
\(447\) | 6.36635 | + | 20.6881i | 0.301118 | + | 0.978514i | ||||
\(448\) | 18.6237 | + | 10.5876i | 0.879886 | + | 0.500218i | ||||
\(449\) | −25.3524 | + | 14.6372i | −1.19645 | + | 0.690774i | −0.959763 | − | 0.280811i | \(-0.909397\pi\) |
−0.236692 | + | 0.971585i | \(0.576063\pi\) | |||||||
\(450\) | 16.0048 | − | 1.17796i | 0.754472 | − | 0.0555294i | ||||
\(451\) | −19.7484 | − | 11.4017i | −0.929916 | − | 0.536887i | ||||
\(452\) | 0.319843i | 0.0150441i | ||||||||
\(453\) | 6.68627 | + | 6.21224i | 0.314148 | + | 0.291877i | ||||
\(454\) | − | 32.4742i | − | 1.52409i | ||||||
\(455\) | 26.9580 | − | 8.63952i | 1.26381 | − | 0.405027i | ||||
\(456\) | 12.1928 | − | 3.75209i | 0.570981 | − | 0.175708i | ||||
\(457\) | 15.6657 | + | 27.1338i | 0.732812 | + | 1.26927i | 0.955677 | + | 0.294418i | \(0.0951257\pi\) |
−0.222865 | + | 0.974849i | \(0.571541\pi\) | |||||||
\(458\) | −35.0792 | −1.63914 | ||||||||
\(459\) | −0.880526 | − | 2.25679i | −0.0410994 | − | 0.105338i | ||||
\(460\) | −0.155042 | − | 0.0895134i | −0.00722886 | − | 0.00417358i | ||||
\(461\) | −2.74375 | − | 4.75231i | −0.127789 | − | 0.221337i | 0.795031 | − | 0.606569i | \(-0.207455\pi\) |
−0.922820 | + | 0.385232i | \(0.874121\pi\) | |||||||
\(462\) | −5.26327 | − | 16.7069i | −0.244869 | − | 0.777273i | ||||
\(463\) | 10.4977 | 0.487870 | 0.243935 | − | 0.969792i | \(-0.421562\pi\) | ||||
0.243935 | + | 0.969792i | \(0.421562\pi\) | |||||||
\(464\) | 32.9390i | 1.52916i | ||||||||
\(465\) | −10.1379 | − | 32.9440i | −0.470132 | − | 1.52774i | ||||
\(466\) | −16.7646 | −0.776607 | ||||||||
\(467\) | 6.11729 | − | 10.5955i | 0.283075 | − | 0.490299i | −0.689066 | − | 0.724699i | \(-0.741979\pi\) |
0.972140 | + | 0.234399i | \(0.0753123\pi\) | |||||||
\(468\) | 0.0393472 | − | 0.266376i | 0.00181883 | − | 0.0123132i | ||||
\(469\) | −10.2530 | − | 5.82884i | −0.473437 | − | 0.269151i | ||||
\(470\) | −30.8252 | − | 17.7969i | −1.42186 | − | 0.820911i | ||||
\(471\) | −0.416162 | + | 0.447918i | −0.0191758 | + | 0.0206390i | ||||
\(472\) | −25.5845 | − | 14.7712i | −1.17762 | − | 0.679901i | ||||
\(473\) | −10.5710 | + | 6.10315i | −0.486054 | + | 0.280623i | ||||
\(474\) | −2.08633 | − | 6.77973i | −0.0958281 | − | 0.311403i | ||||
\(475\) | 8.53159 | − | 4.92571i | 0.391456 | − | 0.226007i | ||||
\(476\) | −0.000204515 | − | 0.0307049i | −9.37394e−6 | − | 0.00140736i | ||||
\(477\) | −1.50076 | + | 3.10577i | −0.0687150 | + | 0.142203i | ||||
\(478\) | 7.23357 | + | 12.5289i | 0.330856 | + | 0.573059i | ||||
\(479\) | 15.7699 | 0.720544 | 0.360272 | − | 0.932847i | \(-0.382684\pi\) | ||||
0.360272 | + | 0.932847i | \(0.382684\pi\) | |||||||
\(480\) | 0.492638 | − | 0.530228i | 0.0224857 | − | 0.0242015i | ||||
\(481\) | −12.2334 | − | 39.0655i | −0.557796 | − | 1.78123i | ||||
\(482\) | −22.3323 | −1.01721 | ||||||||
\(483\) | 10.5924 | − | 3.33698i | 0.481970 | − | 0.151838i | ||||
\(484\) | −0.0448418 | + | 0.0776683i | −0.00203826 | + | 0.00353038i | ||||
\(485\) | − | 30.6899i | − | 1.39355i | ||||||
\(486\) | 9.43965 | + | 19.7698i | 0.428191 | + | 0.896775i | ||||
\(487\) | −12.4868 | + | 21.6278i | −0.565833 | + | 0.980051i | 0.431139 | + | 0.902285i | \(0.358112\pi\) |
−0.996972 | + | 0.0777654i | \(0.975221\pi\) | |||||||
\(488\) | 25.9701 | 1.17561 | ||||||||
\(489\) | −39.2357 | + | 12.0740i | −1.77430 | + | 0.546005i | ||||
\(490\) | −25.0859 | + | 14.9324i | −1.13327 | + | 0.674577i | ||||
\(491\) | −36.6633 | − | 21.1676i | −1.65459 | − | 0.955280i | −0.975148 | − | 0.221552i | \(-0.928888\pi\) |
−0.679444 | − | 0.733727i | \(-0.737779\pi\) | |||||||
\(492\) | 0.264838 | + | 0.246062i | 0.0119398 | + | 0.0110933i | ||||
\(493\) | 3.36720 | − | 1.94405i | 0.151651 | − | 0.0875557i | ||||
\(494\) | 3.91923 | + | 12.5154i | 0.176334 | + | 0.563096i | ||||
\(495\) | −24.1481 | + | 1.77731i | −1.08538 | + | 0.0798840i | ||||
\(496\) | 22.9376 | + | 13.2430i | 1.02993 | + | 0.594630i | ||||
\(497\) | 22.3333 | − | 0.148755i | 1.00179 | − | 0.00667257i | ||||
\(498\) | 17.6509 | − | 18.9978i | 0.790956 | − | 0.851310i | ||||
\(499\) | 4.70714 | − | 8.15301i | 0.210721 | − | 0.364979i | −0.741220 | − | 0.671263i | \(-0.765752\pi\) |
0.951940 | + | 0.306284i | \(0.0990856\pi\) | |||||||
\(500\) | −0.0440902 | + | 0.0763664i | −0.00197177 | + | 0.00341521i | ||||
\(501\) | 1.45246 | − | 6.34415i | 0.0648910 | − | 0.283436i | ||||
\(502\) | −19.5427 | − | 11.2830i | −0.872232 | − | 0.503583i | ||||
\(503\) | 4.94844 | + | 8.57095i | 0.220640 | + | 0.382160i | 0.955003 | − | 0.296598i | \(-0.0958520\pi\) |
−0.734362 | + | 0.678758i | \(0.762519\pi\) | |||||||
\(504\) | 1.80796 | + | 22.5150i | 0.0805330 | + | 1.00290i | ||||
\(505\) | −9.86174 | + | 17.0810i | −0.438842 | + | 0.760096i | ||||
\(506\) | −8.02223 | − | 4.63163i | −0.356631 | − | 0.205901i | ||||
\(507\) | 22.2910 | + | 3.18011i | 0.989976 | + | 0.141234i | ||||
\(508\) | −0.0169238 | − | 0.0293129i | −0.000750872 | − | 0.00130055i | ||||
\(509\) | −15.9736 | − | 27.6670i | −0.708015 | − | 1.22632i | −0.965592 | − | 0.260061i | \(-0.916257\pi\) |
0.257577 | − | 0.966258i | \(-0.417076\pi\) | |||||||
\(510\) | 3.28276 | + | 0.751569i | 0.145363 | + | 0.0332800i | ||||
\(511\) | 20.6411 | − | 0.137483i | 0.913107 | − | 0.00608190i | ||||
\(512\) | 23.0353i | 1.01803i | ||||||||
\(513\) | 10.4977 | + | 8.40602i | 0.463485 | + | 0.371135i | ||||
\(514\) | −13.3718 | − | 7.72024i | −0.589807 | − | 0.340525i | ||||
\(515\) | 22.9228 | − | 13.2345i | 1.01010 | − | 0.583180i | ||||
\(516\) | 0.184948 | − | 0.0569140i | 0.00814187 | − | 0.00250550i | ||||
\(517\) | 20.1025 | + | 11.6062i | 0.884108 | + | 0.510440i | ||||
\(518\) | 21.3512 | + | 36.4189i | 0.938116 | + | 1.60016i | ||||
\(519\) | 7.00511 | − | 2.15568i | 0.307490 | − | 0.0946239i | ||||
\(520\) | 22.4088 | + | 20.6146i | 0.982690 | + | 0.904009i | ||||
\(521\) | 1.58017 | + | 2.73693i | 0.0692283 | + | 0.119907i | 0.898562 | − | 0.438847i | \(-0.144613\pi\) |
−0.829333 | + | 0.558754i | \(0.811280\pi\) | |||||||
\(522\) | −29.0787 | + | 19.7688i | −1.27274 | + | 0.865257i | ||||
\(523\) | −9.19469 | + | 5.30855i | −0.402056 | + | 0.232127i | −0.687371 | − | 0.726307i | \(-0.741235\pi\) |
0.285315 | + | 0.958434i | \(0.407902\pi\) | |||||||
\(524\) | 0.145108 | + | 0.251334i | 0.00633907 | + | 0.0109796i | ||||
\(525\) | 5.24117 | + | 16.6367i | 0.228744 | + | 0.726087i | ||||
\(526\) | −4.87066 | − | 8.43624i | −0.212371 | − | 0.367837i | ||||
\(527\) | − | 3.12640i | − | 0.136188i | ||||||
\(528\) | 12.6643 | − | 13.6307i | 0.551143 | − | 0.593198i | ||||
\(529\) | −8.56348 | + | 14.8324i | −0.372325 | + | 0.644886i | ||||
\(530\) | −2.39762 | − | 4.15279i | −0.104146 | − | 0.180386i | ||||
\(531\) | −2.28600 | − | 31.0597i | −0.0992040 | − | 1.34788i | ||||
\(532\) | 0.0862131 | + | 0.147055i | 0.00373781 | + | 0.00637563i | ||||
\(533\) | −20.4665 | + | 22.2478i | −0.886501 | + | 0.963659i | ||||
\(534\) | 16.3281 | + | 3.73823i | 0.706588 | + | 0.161769i | ||||
\(535\) | 0.346052i | 0.0149611i | ||||||||
\(536\) | − | 12.6856i | − | 0.547933i | ||||||
\(537\) | −0.510087 | − | 1.65758i | −0.0220119 | − | 0.0715298i | ||||
\(538\) | − | 10.0590i | − | 0.433672i | ||||||
\(539\) | 16.3597 | − | 9.73810i | 0.704661 | − | 0.419450i | ||||
\(540\) | 0.379454 | + | 0.0579691i | 0.0163291 | + | 0.00249459i | ||||
\(541\) | 10.0471 | − | 17.4021i | 0.431958 | − | 0.748173i | −0.565084 | − | 0.825034i | \(-0.691156\pi\) |
0.997042 | + | 0.0768601i | \(0.0244895\pi\) | |||||||
\(542\) | −9.84580 | + | 17.0534i | −0.422913 | + | 0.732507i | ||||
\(543\) | −2.36295 | − | 7.67866i | −0.101404 | − | 0.329523i | ||||
\(544\) | 0.0568524 | − | 0.0328238i | 0.00243753 | − | 0.00140731i | ||||
\(545\) | −12.4646 | −0.533924 | ||||||||
\(546\) | −23.1368 | + | 1.97309i | −0.990163 | + | 0.0844404i | ||||
\(547\) | 18.0920 | 0.773556 | 0.386778 | − | 0.922173i | \(-0.373588\pi\) | ||||
0.386778 | + | 0.922173i | \(0.373588\pi\) | |||||||
\(548\) | −0.0275023 | + | 0.0158785i | −0.00117484 | + | 0.000678295i | ||||
\(549\) | 15.3923 | + | 22.6410i | 0.656926 | + | 0.966296i | ||||
\(550\) | 7.27460 | − | 12.6000i | 0.310190 | − | 0.537265i | ||||
\(551\) | −10.7925 | + | 18.6931i | −0.459776 | + | 0.796355i | ||||
\(552\) | 8.75096 | + | 8.13056i | 0.372466 | + | 0.346059i | ||||
\(553\) | 6.65120 | − | 3.89937i | 0.282838 | − | 0.165818i | ||||
\(554\) | 33.1906i | 1.41014i | ||||||||
\(555\) | 55.7759 | − | 17.1639i | 2.36755 | − | 0.728567i | ||||
\(556\) | 0.103194i | 0.00437641i | ||||||||
\(557\) | − | 32.7781i | − | 1.38885i | −0.719563 | − | 0.694427i | \(-0.755658\pi\) | ||
0.719563 | − | 0.694427i | \(-0.244342\pi\) | |||||||
\(558\) | 2.07533 | + | 28.1974i | 0.0878559 | + | 1.19369i | ||||
\(559\) | 4.83569 | + | 15.4420i | 0.204528 | + | 0.653128i | ||||
\(560\) | −26.9579 | − | 15.3257i | −1.13918 | − | 0.647628i | ||||
\(561\) | −2.14084 | − | 0.490133i | −0.0903863 | − | 0.0206934i | ||||
\(562\) | −11.8080 | − | 20.4521i | −0.498090 | − | 0.862718i | ||||
\(563\) | 9.35180 | − | 16.1978i | 0.394131 | − | 0.682656i | −0.598859 | − | 0.800855i | \(-0.704379\pi\) |
0.992990 | + | 0.118199i | \(0.0377122\pi\) | |||||||
\(564\) | −0.269587 | − | 0.250474i | −0.0113516 | − | 0.0105469i | ||||
\(565\) | − | 38.1281i | − | 1.60406i | ||||||
\(566\) | 6.28359 | + | 10.8835i | 0.264119 | + | 0.457468i | ||||
\(567\) | −18.5573 | + | 14.9207i | −0.779333 | + | 0.626609i | ||||
\(568\) | 12.0111 | + | 20.8038i | 0.503973 | + | 0.872908i | ||||
\(569\) | 2.94338 | − | 1.69936i | 0.123393 | − | 0.0712408i | −0.437033 | − | 0.899445i | \(-0.643971\pi\) |
0.560426 | + | 0.828205i | \(0.310637\pi\) | |||||||
\(570\) | −17.8690 | + | 5.49881i | −0.748448 | + | 0.230320i | ||||
\(571\) | 4.29368 | + | 7.43687i | 0.179685 | + | 0.311224i | 0.941773 | − | 0.336250i | \(-0.109159\pi\) |
−0.762088 | + | 0.647474i | \(0.775825\pi\) | |||||||
\(572\) | −0.179659 | − | 0.165275i | −0.00751194 | − | 0.00691048i | ||||
\(573\) | 1.37793 | + | 4.47772i | 0.0575638 | + | 0.187060i | ||||
\(574\) | 15.4074 | − | 27.1017i | 0.643092 | − | 1.13120i | ||||
\(575\) | 7.98855 | + | 4.61219i | 0.333146 | + | 0.192342i | ||||
\(576\) | −20.0886 | + | 13.6570i | −0.837024 | + | 0.569042i | ||||
\(577\) | −19.0273 | + | 10.9854i | −0.792117 | + | 0.457329i | −0.840707 | − | 0.541490i | \(-0.817860\pi\) |
0.0485903 | + | 0.998819i | \(0.484527\pi\) | |||||||
\(578\) | −20.4261 | − | 11.7930i | −0.849616 | − | 0.490526i | ||||
\(579\) | −40.1827 | + | 12.3654i | −1.66993 | + | 0.513889i | ||||
\(580\) | 0.616092i | 0.0255818i | ||||||||
\(581\) | 24.5029 | + | 13.9300i | 1.01655 | + | 0.577913i | ||||
\(582\) | −5.61810 | + | 24.5392i | −0.232878 | + | 1.01718i | ||||
\(583\) | 1.56360 | + | 2.70823i | 0.0647575 | + | 0.112163i | ||||
\(584\) | 11.1010 | + | 19.2274i | 0.459361 | + | 0.795636i | ||||
\(585\) | −4.69054 | + | 31.7544i | −0.193930 | + | 1.31288i | ||||
\(586\) | 20.3866 | + | 11.7702i | 0.842161 | + | 0.486222i | ||||
\(587\) | −21.5356 | + | 37.3007i | −0.888868 | + | 1.53956i | −0.0476531 | + | 0.998864i | \(0.515174\pi\) |
−0.841215 | + | 0.540701i | \(0.818159\pi\) | |||||||
\(588\) | −0.287262 | + | 0.0926056i | −0.0118465 | + | 0.00381899i | ||||
\(589\) | 8.67818 | + | 15.0310i | 0.357578 | + | 0.619343i | ||||
\(590\) | 37.4949 | + | 21.6477i | 1.54364 | + | 0.891222i | ||||
\(591\) | −11.9558 | − | 2.73721i | −0.491796 | − | 0.112594i | ||||
\(592\) | −22.4211 | + | 38.8346i | −0.921503 | + | 1.59609i | ||||
\(593\) | 15.2562 | − | 26.4245i | 0.626498 | − | 1.08513i | −0.361752 | − | 0.932274i | \(-0.617821\pi\) |
0.988249 | − | 0.152851i | \(-0.0488455\pi\) | |||||||
\(594\) | 19.6338 | + | 2.99946i | 0.805586 | + | 0.123069i | ||||
\(595\) | 0.0243800 | + | 3.66030i | 0.000999483 | + | 0.150058i | ||||
\(596\) | −0.269418 | − | 0.155549i | −0.0110358 | − | 0.00637152i | ||||
\(597\) | −32.4964 | − | 7.43985i | −1.32999 | − | 0.304493i | ||||
\(598\) | −8.31392 | + | 9.03753i | −0.339982 | + | 0.369572i | ||||
\(599\) | −22.8836 | + | 13.2118i | −0.934998 | + | 0.539821i | −0.888389 | − | 0.459092i | \(-0.848175\pi\) |
−0.0466090 | + | 0.998913i | \(0.514841\pi\) | |||||||
\(600\) | −12.7701 | + | 13.7445i | −0.521338 | + | 0.561119i | ||||
\(601\) | −32.5373 | − | 18.7854i | −1.32722 | − | 0.766272i | −0.342353 | − | 0.939571i | \(-0.611224\pi\) |
−0.984869 | + | 0.173299i | \(0.944557\pi\) | |||||||
\(602\) | −8.43981 | − | 14.3959i | −0.343981 | − | 0.586732i | ||||
\(603\) | 11.0594 | − | 7.51863i | 0.450375 | − | 0.306182i | ||||
\(604\) | −0.131174 | −0.00533738 | ||||||||
\(605\) | 5.34554 | − | 9.25874i | 0.217327 | − | 0.376421i | ||||
\(606\) | 11.0122 | − | 11.8525i | 0.447339 | − | 0.481473i | ||||
\(607\) | 0.974616i | 0.0395585i | 0.999804 | + | 0.0197792i | \(0.00629633\pi\) | ||||
−0.999804 | + | 0.0197792i | \(0.993704\pi\) | |||||||
\(608\) | −0.182222 | + | 0.315619i | −0.00739010 | + | 0.0128000i | ||||
\(609\) | −28.1711 | − | 25.8265i | −1.14155 | − | 1.04654i | ||||
\(610\) | −38.0599 | −1.54100 | ||||||||
\(611\) | 20.8335 | − | 22.6467i | 0.842832 | − | 0.916189i | ||||
\(612\) | 0.0313488 | + | 0.0151483i | 0.00126720 | + | 0.000612332i | ||||
\(613\) | 0.0794798 | 0.00321016 | 0.00160508 | − | 0.999999i | \(-0.499489\pi\) | ||||
0.00160508 | + | 0.999999i | \(0.499489\pi\) | |||||||
\(614\) | 2.09760 | + | 3.63316i | 0.0846524 | + | 0.146622i | ||||
\(615\) | −31.5710 | − | 29.3327i | −1.27306 | − | 1.18281i | ||||
\(616\) | 17.8021 | + | 10.1206i | 0.717268 | + | 0.407769i | ||||
\(617\) | −8.99665 | + | 5.19422i | −0.362192 | + | 0.209111i | −0.670042 | − | 0.742323i | \(-0.733724\pi\) |
0.307850 | + | 0.951435i | \(0.400390\pi\) | |||||||
\(618\) | −20.7514 | + | 6.38583i | −0.834744 | + | 0.256876i | ||||
\(619\) | 34.3765 | − | 19.8473i | 1.38171 | − | 0.797729i | 0.389346 | − | 0.921092i | \(-0.372701\pi\) |
0.992362 | + | 0.123362i | \(0.0393678\pi\) | |||||||
\(620\) | 0.429025 | + | 0.247698i | 0.0172301 | + | 0.00994778i | ||||
\(621\) | −1.90170 | + | 12.4481i | −0.0763124 | + | 0.499526i | ||||
\(622\) | 3.45922 | + | 1.99718i | 0.138702 | + | 0.0800797i | ||||
\(623\) | 0.121264 | + | 18.2060i | 0.00485834 | + | 0.729407i | ||||
\(624\) | −13.9679 | − | 20.3290i | −0.559165 | − | 0.813812i | ||||
\(625\) | 14.7718 | − | 25.5854i | 0.590870 | − | 1.02342i | ||||
\(626\) | 11.8911 | 0.475263 | ||||||||
\(627\) | 11.6532 | − | 3.58603i | 0.465383 | − | 0.143212i | ||||
\(628\) | − | 0.00878741i | − | 0.000350656i | ||||||
\(629\) | 5.29316 | 0.211052 | ||||||||
\(630\) | −2.64962 | − | 32.9965i | −0.105564 | − | 1.31461i | ||||
\(631\) | −22.2297 | − | 38.5030i | −0.884952 | − | 1.53278i | −0.845769 | − | 0.533550i | \(-0.820858\pi\) |
−0.0391833 | − | 0.999232i | \(-0.512476\pi\) | |||||||
\(632\) | 7.18177 | + | 4.14640i | 0.285676 | + | 0.164935i | ||||
\(633\) | −9.01935 | + | 39.3954i | −0.358487 | + | 1.56583i | ||||
\(634\) | 39.9250 | 1.58562 | ||||||||
\(635\) | 2.01746 | + | 3.49435i | 0.0800606 | + | 0.138669i | ||||
\(636\) | −0.0145811 | − | 0.0473827i | −0.000578177 | − | 0.00187885i | ||||
\(637\) | −7.86258 | − | 23.9829i | −0.311527 | − | 0.950237i | ||||
\(638\) | 31.8780i | 1.26206i | ||||||||
\(639\) | −11.0181 | + | 22.8017i | −0.435871 | + | 0.902019i | ||||
\(640\) | − | 32.9335i | − | 1.30181i | ||||||
\(641\) | −22.5064 | − | 12.9941i | −0.888950 | − | 0.513235i | −0.0153508 | − | 0.999882i | \(-0.504887\pi\) |
−0.873599 | + | 0.486647i | \(0.838220\pi\) | |||||||
\(642\) | 0.0633484 | − | 0.276698i | 0.00250016 | − | 0.0109204i | ||||
\(643\) | 6.96396 | − | 4.02064i | 0.274632 | − | 0.158559i | −0.356359 | − | 0.934349i | \(-0.615982\pi\) |
0.630991 | + | 0.775790i | \(0.282649\pi\) | |||||||
\(644\) | −0.0788843 | + | 0.138758i | −0.00310848 | + | 0.00546782i | ||||
\(645\) | −22.0474 | + | 6.78464i | −0.868116 | + | 0.267145i | ||||
\(646\) | −1.69577 | −0.0667193 | ||||||||
\(647\) | 19.5481 | 0.768516 | 0.384258 | − | 0.923226i | \(-0.374457\pi\) | ||||
0.384258 | + | 0.923226i | \(0.374457\pi\) | |||||||
\(648\) | −23.8163 | − | 9.42052i | −0.935594 | − | 0.370073i | ||||
\(649\) | −24.4522 | − | 14.1175i | −0.959832 | − | 0.554159i | ||||
\(650\) | −14.1947 | − | 13.0581i | −0.556760 | − | 0.512182i | ||||
\(651\) | −29.3108 | + | 9.23396i | −1.14878 | + | 0.361907i | ||||
\(652\) | 0.295003 | − | 0.510961i | 0.0115532 | − | 0.0200108i | ||||
\(653\) | −31.6753 | + | 18.2877i | −1.23955 | + | 0.715654i | −0.969002 | − | 0.247053i | \(-0.920538\pi\) |
−0.270547 | + | 0.962707i | \(0.587205\pi\) | |||||||
\(654\) | 9.96650 | + | 2.28177i | 0.389721 | + | 0.0892244i | ||||
\(655\) | −17.2981 | − | 29.9612i | −0.675894 | − | 1.17068i | ||||
\(656\) | 33.1143 | 1.29290 | ||||||||
\(657\) | −10.1833 | + | 21.0739i | −0.397287 | + | 0.822171i | ||||
\(658\) | −15.6837 | + | 27.5876i | −0.611413 | + | 1.07548i | ||||
\(659\) | 24.3137 | − | 14.0375i | 0.947126 | − | 0.546824i | 0.0549393 | − | 0.998490i | \(-0.482503\pi\) |
0.892187 | + | 0.451666i | \(0.149170\pi\) | |||||||
\(660\) | 0.236873 | − | 0.254948i | 0.00922027 | − | 0.00992382i | ||||
\(661\) | − | 0.894387i | − | 0.0347876i | −0.999849 | − | 0.0173938i | \(-0.994463\pi\) | ||
0.999849 | − | 0.0173938i | \(-0.00553690\pi\) | |||||||
\(662\) | 30.0742 | − | 17.3634i | 1.16887 | − | 0.674847i | ||||
\(663\) | −1.25375 | + | 2.62769i | −0.0486917 | + | 0.102051i | ||||
\(664\) | 30.3164i | 1.17651i | ||||||||
\(665\) | −10.2774 | − | 17.5302i | −0.398539 | − | 0.679792i | ||||
\(666\) | −47.7396 | + | 3.51365i | −1.84987 | + | 0.136151i | ||||
\(667\) | −20.2111 | −0.782577 | ||||||||
\(668\) | 0.0467698 | + | 0.0810077i | 0.00180958 | + | 0.00313428i | ||||
\(669\) | 8.64103 | + | 1.97832i | 0.334082 | + | 0.0764861i | ||||
\(670\) | 18.5911i | 0.718236i | ||||||||
\(671\) | 24.8207 | 0.958191 | ||||||||
\(672\) | −0.475647 | − | 0.436059i | −0.0183485 | − | 0.0168213i | ||||
\(673\) | −14.0268 | + | 24.2951i | −0.540692 | + | 0.936506i | 0.458172 | + | 0.888863i | \(0.348504\pi\) |
−0.998864 | + | 0.0476430i | \(0.984829\pi\) | |||||||
\(674\) | 5.02845 | − | 2.90318i | 0.193689 | − | 0.111826i | ||||
\(675\) | −19.5514 | − | 2.98687i | −0.752535 | − | 0.114965i | ||||
\(676\) | −0.265816 | + | 0.184582i | −0.0102237 | + | 0.00709931i | ||||
\(677\) | 16.0687 | − | 27.8319i | 0.617572 | − | 1.06967i | −0.372356 | − | 0.928090i | \(-0.621450\pi\) |
0.989927 | − | 0.141575i | \(-0.0452168\pi\) | |||||||
\(678\) | −6.97974 | + | 30.4867i | −0.268055 | + | 1.17083i | ||||
\(679\) | −27.3613 | + | 0.182245i | −1.05003 | + | 0.00699390i | ||||
\(680\) | −3.40961 | + | 1.96854i | −0.130753 | + | 0.0754901i | ||||
\(681\) | −8.93182 | + | 39.0131i | −0.342268 | + | 1.49498i | ||||
\(682\) | 22.1988 | + | 12.8165i | 0.850035 | + | 0.490768i | ||||
\(683\) | 20.7123 | + | 11.9583i | 0.792535 | + | 0.457570i | 0.840854 | − | 0.541262i | \(-0.182053\pi\) |
−0.0483193 | + | 0.998832i | \(0.515387\pi\) | |||||||
\(684\) | −0.192766 | + | 0.0141876i | −0.00737059 | + | 0.000542477i | ||||
\(685\) | 3.27852 | − | 1.89285i | 0.125266 | − | 0.0723222i | ||||
\(686\) | 13.4618 | + | 22.2765i | 0.513975 | + | 0.850519i | ||||
\(687\) | 42.1426 | + | 9.64831i | 1.60784 | + | 0.368106i | ||||
\(688\) | 8.86276 | − | 15.3507i | 0.337889 | − | 0.585242i | ||||
\(689\) | 3.95617 | − | 1.23888i | 0.150718 | − | 0.0471976i | ||||
\(690\) | −12.8248 | − | 11.9156i | −0.488232 | − | 0.453619i | ||||
\(691\) | 41.3896 | − | 23.8963i | 1.57454 | − | 0.909059i | 0.578934 | − | 0.815375i | \(-0.303469\pi\) |
0.995602 | − | 0.0936839i | \(-0.0298643\pi\) | |||||||
\(692\) | −0.0526697 | + | 0.0912265i | −0.00200220 | + | 0.00346791i | ||||
\(693\) | 1.72794 | + | 21.5185i | 0.0656391 | + | 0.817421i | ||||
\(694\) | 13.0055 | 0.493683 | ||||||||
\(695\) | − | 12.3017i | − | 0.466628i | ||||||
\(696\) | 9.17388 | − | 40.0703i | 0.347735 | − | 1.51886i | ||||
\(697\) | −1.95440 | − | 3.38512i | −0.0740281 | − | 0.128220i | ||||
\(698\) | −12.7279 | −0.481756 | ||||||||
\(699\) | 20.1403 | + | 4.61101i | 0.761776 | + | 0.174404i | ||||
\(700\) | −0.217938 | − | 0.123898i | −0.00823727 | − | 0.00468292i | ||||
\(701\) | 6.73334i | 0.254315i | 0.991883 | + | 0.127157i | \(0.0405853\pi\) | ||||
−0.991883 | + | 0.127157i | \(0.959415\pi\) | |||||||
\(702\) | 9.56345 | − | 24.5317i | 0.360949 | − | 0.925888i | ||||
\(703\) | −25.4483 | + | 14.6926i | −0.959801 | + | 0.554142i | ||||
\(704\) | 22.0225i | 0.830003i | ||||||||
\(705\) | 32.1371 | + | 29.8587i | 1.21035 | + | 1.12454i | ||||
\(706\) | −14.3370 | + | 8.27748i | −0.539581 | + | 0.311527i | ||||
\(707\) | 15.2870 | + | 8.69073i | 0.574928 | + | 0.326849i | ||||
\(708\) | 0.327918 | + | 0.304670i | 0.0123239 | + | 0.0114502i | ||||
\(709\) | −38.0202 | −1.42788 | −0.713939 | − | 0.700208i | \(-0.753091\pi\) | ||||
−0.713939 | + | 0.700208i | \(0.753091\pi\) | |||||||
\(710\) | −17.6026 | − | 30.4886i | −0.660614 | − | 1.14422i | ||||
\(711\) | 0.641698 | + | 8.71870i | 0.0240656 | + | 0.326977i | ||||
\(712\) | −16.9591 | + | 9.79133i | −0.635569 | + | 0.366946i | ||||
\(713\) | −8.12581 | + | 14.0743i | −0.304314 | + | 0.527088i | ||||
\(714\) | 0.650562 | − | 2.93118i | 0.0243467 | − | 0.109697i | ||||
\(715\) | 21.4170 | + | 19.7022i | 0.800950 | + | 0.736820i | ||||
\(716\) | 0.0215864 | + | 0.0124629i | 0.000806723 | + | 0.000465762i | ||||
\(717\) | −5.24409 | − | 17.0412i | −0.195844 | − | 0.636416i | ||||
\(718\) | 1.85908 | 0.0693802 | ||||||||
\(719\) | −24.6301 | −0.918549 | −0.459275 | − | 0.888294i | \(-0.651891\pi\) | ||||
−0.459275 | + | 0.888294i | \(0.651891\pi\) | |||||||
\(720\) | 29.0784 | − | 19.7686i | 1.08369 | − | 0.736733i | ||||
\(721\) | −11.9352 | − | 20.3580i | −0.444490 | − | 0.758172i | ||||
\(722\) | −14.9720 | + | 8.64408i | −0.557199 | + | 0.321699i | ||||
\(723\) | 26.8291 | + | 6.14237i | 0.997784 | + | 0.228437i | ||||
\(724\) | 0.0999981 | + | 0.0577340i | 0.00371640 | + | 0.00214567i | ||||
\(725\) | − | 31.7442i | − | 1.17895i | ||||||
\(726\) | −5.96912 | + | 6.42460i | −0.221535 | + | 0.238439i | ||||
\(727\) | 6.39426i | 0.237150i | 0.992945 | + | 0.118575i | \(0.0378326\pi\) | ||||
−0.992945 | + | 0.118575i | \(0.962167\pi\) | |||||||
\(728\) | 18.2457 | − | 20.1008i | 0.676230 | − | 0.744985i | ||||
\(729\) | −5.90283 | − | 26.3469i | −0.218623 | − | 0.975809i | ||||
\(730\) | −16.2688 | − | 28.1784i | −0.602135 | − | 1.04293i | ||||
\(731\) | −2.09231 | −0.0773869 | ||||||||
\(732\) | −0.383559 | − | 0.0878136i | −0.0141767 | − | 0.00324568i | ||||
\(733\) | 19.2593 | + | 11.1194i | 0.711359 | + | 0.410703i | 0.811564 | − | 0.584263i | \(-0.198616\pi\) |
−0.100205 | + | 0.994967i | \(0.531950\pi\) | |||||||
\(734\) | 4.09665 | + | 7.09561i | 0.151210 | + | 0.261904i | ||||
\(735\) | 34.2441 | − | 11.0394i | 1.26311 | − | 0.407195i | ||||
\(736\) | −0.341248 | −0.0125786 | ||||||||
\(737\) | − | 12.1241i | − | 0.446597i | ||||||
\(738\) | 19.8740 | + | 29.2334i | 0.731573 | + | 1.07610i | ||||
\(739\) | 23.2140 | 0.853940 | 0.426970 | − | 0.904266i | \(-0.359581\pi\) | ||||
0.426970 | + | 0.904266i | \(0.359581\pi\) | |||||||
\(740\) | −0.419365 | + | 0.726361i | −0.0154162 | + | 0.0267016i | ||||
\(741\) | −1.26610 | − | 16.1135i | −0.0465113 | − | 0.591943i | ||||
\(742\) | −3.68815 | + | 2.16224i | −0.135396 | + | 0.0793782i | ||||
\(743\) | −13.9525 | − | 8.05548i | −0.511867 | − | 0.295527i | 0.221734 | − | 0.975107i | \(-0.428828\pi\) |
−0.733601 | + | 0.679581i | \(0.762162\pi\) | |||||||
\(744\) | −24.2153 | − | 22.4985i | −0.887776 | − | 0.824837i | ||||
\(745\) | 32.1170 | + | 18.5428i | 1.17668 | + | 0.679354i | ||||
\(746\) | −3.94023 | + | 2.27489i | −0.144262 | + | 0.0832897i | ||||
\(747\) | −26.4302 | + | 17.9683i | −0.967032 | + | 0.657426i | ||||
\(748\) | 0.0273361 | − | 0.0157825i | 0.000999508 | − | 0.000577066i | ||||
\(749\) | 0.308520 | − | 0.00205495i | 0.0112731 | − | 7.50861e-5i | ||||
\(750\) | −5.86907 | + | 6.31691i | −0.214308 | + | 0.230661i | ||||
\(751\) | 3.91086 | + | 6.77381i | 0.142709 | + | 0.247180i | 0.928516 | − | 0.371292i | \(-0.121085\pi\) |
−0.785807 | + | 0.618472i | \(0.787752\pi\) | |||||||
\(752\) | −33.7081 | −1.22921 | ||||||||
\(753\) | 20.3744 | + | 18.9300i | 0.742484 | + | 0.689846i | ||||
\(754\) | 41.2399 | + | 9.22727i | 1.50187 | + | 0.336037i | ||||
\(755\) | 15.6370 | 0.569090 | ||||||||
\(756\) | 0.0494286 | − | 0.338643i | 0.00179770 | − | 0.0123163i | ||||
\(757\) | 25.1290 | − | 43.5247i | 0.913329 | − | 1.58193i | 0.104001 | − | 0.994577i | \(-0.466836\pi\) |
0.809329 | − | 0.587356i | \(-0.199831\pi\) | |||||||
\(758\) | − | 33.3097i | − | 1.20986i | ||||||
\(759\) | 8.36365 | + | 7.77070i | 0.303581 | + | 0.282059i | ||||
\(760\) | 10.9284 | − | 18.9286i | 0.396416 | − | 0.686613i | ||||
\(761\) | −14.4623 | −0.524258 | −0.262129 | − | 0.965033i | \(-0.584425\pi\) | ||||
−0.262129 | + | 0.965033i | \(0.584425\pi\) | |||||||
\(762\) | −0.973457 | − | 3.16335i | −0.0352646 | − | 0.114596i | ||||
\(763\) | 0.0740180 | + | 11.1127i | 0.00267963 | + | 0.402307i | ||||
\(764\) | −0.0583127 | − | 0.0336669i | −0.00210968 | − | 0.00121802i | ||||
\(765\) | −3.73705 | − | 1.80580i | −0.135113 | − | 0.0652890i | ||||
\(766\) | 43.3277 | − | 25.0152i | 1.56549 | − | 0.903837i | ||||
\(767\) | −25.3413 | + | 27.5469i | −0.915021 | + | 0.994660i | ||||
\(768\) | 0.230903 | − | 1.00856i | 0.00833200 | − | 0.0363931i | ||||
\(769\) | −17.5980 | − | 10.1602i | −0.634602 | − | 0.366388i | 0.147930 | − | 0.988998i | \(-0.452739\pi\) |
−0.782532 | + | 0.622610i | \(0.786072\pi\) | |||||||
\(770\) | −26.0896 | − | 14.8320i | −0.940203 | − | 0.534509i | ||||
\(771\) | 13.9409 | + | 12.9526i | 0.502071 | + | 0.466476i | ||||
\(772\) | 0.302123 | − | 0.523293i | 0.0108737 | − | 0.0188337i | ||||
\(773\) | 19.9457 | − | 34.5469i | 0.717397 | − | 1.24257i | −0.244631 | − | 0.969616i | \(-0.578667\pi\) |
0.962028 | − | 0.272951i | \(-0.0879998\pi\) | |||||||
\(774\) | 18.8708 | − | 1.38889i | 0.678296 | − | 0.0499228i | ||||
\(775\) | −22.1056 | − | 12.7627i | −0.794057 | − | 0.458449i | ||||
\(776\) | −14.7152 | − | 25.4874i | −0.528243 | − | 0.914944i | ||||
\(777\) | −15.6336 | − | 49.6246i | −0.560851 | − | 1.78027i | ||||
\(778\) | 0.233931 | − | 0.405181i | 0.00838685 | − | 0.0145265i | ||||
\(779\) | 18.7926 | + | 10.8499i | 0.673315 | + | 0.388739i | ||||
\(780\) | −0.261256 | − | 0.380234i | −0.00935447 | − | 0.0136145i | ||||
\(781\) | 11.4795 | + | 19.8830i | 0.410768 | + | 0.711471i | ||||
\(782\) | −0.793919 | − | 1.37511i | −0.0283905 | − | 0.0491738i | ||||
\(783\) | 40.3711 | − | 15.7515i | 1.44275 | − | 0.562912i | ||||
\(784\) | −13.5034 | + | 24.1252i | −0.482265 | + | 0.861613i | ||||
\(785\) | 1.04754i | 0.0373882i | ||||||||
\(786\) | 8.34661 | + | 27.1232i | 0.297714 | + | 0.967452i | ||||
\(787\) | −4.19300 | − | 2.42083i | −0.149464 | − | 0.0862933i | 0.423403 | − | 0.905942i | \(-0.360836\pi\) |
−0.572867 | + | 0.819648i | \(0.694169\pi\) | |||||||
\(788\) | 0.152662 | − | 0.0881395i | 0.00543836 | − | 0.00313984i | ||||
\(789\) | 3.53107 | + | 11.4746i | 0.125709 | + | 0.408506i | ||||
\(790\) | −10.5251 | − | 6.07668i | −0.374467 | − | 0.216199i | ||||
\(791\) | −33.9928 | + | 0.226415i | −1.20864 | + | 0.00805038i | ||||
\(792\) | −19.2024 | + | 13.0545i | −0.682328 | + | 0.463873i | ||||
\(793\) | 7.18447 | − | 32.1100i | 0.255128 | − | 1.14026i | ||||
\(794\) | −20.8234 | − | 36.0673i | −0.738996 | − | 1.27998i | ||||
\(795\) | 1.73819 | + | 5.64843i | 0.0616473 | + | 0.200329i | ||||
\(796\) | 0.414942 | − | 0.239567i | 0.0147072 | − | 0.00849122i | ||||
\(797\) | 22.9572 | + | 39.7631i | 0.813187 | + | 1.40848i | 0.910623 | + | 0.413239i | \(0.135603\pi\) |
−0.0974358 | + | 0.995242i | \(0.531064\pi\) | |||||||
\(798\) | 5.00853 | + | 15.8983i | 0.177300 | + | 0.562793i | ||||
\(799\) | 1.98944 | + | 3.44582i | 0.0703815 | + | 0.121904i | ||||
\(800\) | − | 0.535976i | − | 0.0189496i | ||||||
\(801\) | −18.5877 | − | 8.98190i | −0.656765 | − | 0.317360i | ||||
\(802\) | 6.94172 | − | 12.0234i | 0.245120 | − | 0.424561i | ||||
\(803\) | 10.6096 | + | 18.3764i | 0.374406 | + | 0.648490i | ||||
\(804\) | −0.0428941 | + | 0.187356i | −0.00151276 | + | 0.00660755i | ||||
\(805\) | 9.40370 | − | 16.5412i | 0.331437 | − | 0.582999i | ||||
\(806\) | 23.0060 | − | 25.0083i | 0.810350 | − | 0.880880i | ||||
\(807\) | −2.76665 | + | 12.0844i | −0.0973908 | + | 0.425391i | ||||
\(808\) | 18.9140i | 0.665393i | ||||||||
\(809\) | 33.0727i | 1.16278i | 0.813627 | + | 0.581388i | \(0.197490\pi\) | ||||
−0.813627 | + | 0.581388i | \(0.802510\pi\) | |||||||
\(810\) | 34.9036 | + | 13.8061i | 1.22639 | + | 0.485096i | ||||
\(811\) | 26.0753i | 0.915629i | 0.889048 | + | 0.457815i | \(0.151368\pi\) | ||||
−0.889048 | + | 0.457815i | \(0.848632\pi\) | |||||||
\(812\) | 0.549272 | − | 0.00365852i | 0.0192757 | − | 0.000128389i | ||||
\(813\) | 16.5188 | − | 17.7792i | 0.579338 | − | 0.623544i | ||||
\(814\) | −21.6989 | + | 37.5836i | −0.760547 | + | 1.31731i | ||||
\(815\) | −35.1670 | + | 60.9110i | −1.23185 | + | 2.13362i | ||||
\(816\) | 3.04821 | − | 0.938026i | 0.106709 | − | 0.0328375i | ||||
\(817\) | 10.0594 | − | 5.80777i | 0.351932 | − | 0.203188i | ||||
\(818\) | −4.70166 | −0.164390 | ||||||||
\(819\) | 28.3382 | + | 3.99325i | 0.990217 | + | 0.139535i | ||||
\(820\) | 0.619370 | 0.0216293 | ||||||||
\(821\) | −36.8176 | + | 21.2566i | −1.28494 | + | 0.741862i | −0.977747 | − | 0.209785i | \(-0.932723\pi\) |
−0.307194 | + | 0.951647i | \(0.599390\pi\) | |||||||
\(822\) | −2.96796 | + | 0.913330i | −0.103520 | + | 0.0318561i | ||||
\(823\) | 13.4898 | − | 23.3651i | 0.470226 | − | 0.814455i | −0.529194 | − | 0.848501i | \(-0.677506\pi\) |
0.999420 | + | 0.0340454i | \(0.0108391\pi\) | |||||||
\(824\) | 12.6913 | − | 21.9820i | 0.442123 | − | 0.765779i | ||||
\(825\) | −12.2049 | + | 13.1362i | −0.424921 | + | 0.457345i | ||||
\(826\) | 19.0772 | − | 33.5569i | 0.663780 | − | 1.16759i | ||||
\(827\) | − | 25.9887i | − | 0.903716i | −0.892090 | − | 0.451858i | \(-0.850761\pi\) | ||
0.892090 | − | 0.451858i | \(-0.149239\pi\) | |||||||
\(828\) | −0.101753 | − | 0.149672i | −0.00353616 | − | 0.00520147i | ||||
\(829\) | − | 7.73524i | − | 0.268656i | −0.990937 | − | 0.134328i | \(-0.957112\pi\) | ||
0.990937 | − | 0.134328i | \(-0.0428876\pi\) | |||||||
\(830\) | − | 44.4297i | − | 1.54218i | ||||||
\(831\) | 9.12888 | − | 39.8738i | 0.316677 | − | 1.38321i | ||||
\(832\) | 28.4900 | + | 6.37452i | 0.987713 | + | 0.220997i | ||||
\(833\) | 3.26316 | − | 0.0434716i | 0.113062 | − | 0.00150620i | ||||
\(834\) | −2.25195 | + | 9.83622i | −0.0779785 | + | 0.340601i | ||||
\(835\) | −5.57538 | − | 9.65683i | −0.192944 | − | 0.334189i | ||||
\(836\) | −0.0876173 | + | 0.151758i | −0.00303031 | + | 0.00524865i | ||||
\(837\) | 5.26230 | − | 34.4459i | 0.181892 | − | 1.19062i | ||||
\(838\) | 22.1464i | 0.765035i | ||||||||
\(839\) | −0.385592 | − | 0.667865i | −0.0133121 | − | 0.0230573i | 0.859293 | − | 0.511484i | \(-0.170904\pi\) |
−0.872605 | + | 0.488427i | \(0.837571\pi\) | |||||||
\(840\) | 28.5260 | + | 26.1518i | 0.984239 | + | 0.902322i | ||||
\(841\) | 20.2766 | + | 35.1201i | 0.699193 | + | 1.21104i | ||||
\(842\) | 1.91302 | − | 1.10448i | 0.0659270 | − | 0.0380630i | ||||
\(843\) | 8.56040 | + | 27.8179i | 0.294836 | + | 0.958100i | ||||
\(844\) | −0.290427 | − | 0.503035i | −0.00999692 | − | 0.0173152i | ||||
\(845\) | 31.6876 | − | 22.0038i | 1.09009 | − | 0.756954i | ||||
\(846\) | −20.2304 | − | 29.7576i | −0.695535 | − | 1.02309i | ||||
\(847\) | −8.28630 | − | 4.71079i | −0.284721 | − | 0.161865i | ||||
\(848\) | −3.93278 | − | 2.27059i | −0.135052 | − | 0.0779725i | ||||
\(849\) | −4.55539 | − | 14.8032i | −0.156341 | − | 0.508045i | ||||
\(850\) | 2.15979 | − | 1.24696i | 0.0740802 | − | 0.0427702i | ||||
\(851\) | −23.8285 | − | 13.7574i | −0.816832 | − | 0.471598i | ||||
\(852\) | −0.107050 | − | 0.347870i | −0.00366747 | − | 0.0119178i | ||||
\(853\) | − | 8.91797i | − | 0.305346i | −0.988277 | − | 0.152673i | \(-0.951212\pi\) | ||
0.988277 | − | 0.152673i | \(-0.0487881\pi\) | |||||||
\(854\) | 0.226010 | + | 33.9321i | 0.00773391 | + | 1.16113i | ||||
\(855\) | 22.9794 | − | 1.69129i | 0.785879 | − | 0.0578409i | ||||
\(856\) | 0.165925 | + | 0.287390i | 0.00567119 | + | 0.00982278i | ||||
\(857\) | −10.6106 | − | 18.3781i | −0.362451 | − | 0.627783i | 0.625913 | − | 0.779893i | \(-0.284727\pi\) |
−0.988364 | + | 0.152110i | \(0.951393\pi\) | |||||||
\(858\) | −13.5180 | − | 19.6742i | −0.461497 | − | 0.671666i | ||||
\(859\) | −19.4014 | − | 11.2014i | −0.661967 | − | 0.382187i | 0.131059 | − | 0.991375i | \(-0.458162\pi\) |
−0.793026 | + | 0.609188i | \(0.791496\pi\) | |||||||
\(860\) | 0.165769 | − | 0.287120i | 0.00565267 | − | 0.00979072i | ||||
\(861\) | −25.9639 | + | 28.3210i | −0.884847 | + | 0.965178i | ||||
\(862\) | −24.8750 | − | 43.0847i | −0.847245 | − | 1.46747i | ||||
\(863\) | 21.5282 | + | 12.4293i | 0.732830 | + | 0.423099i | 0.819456 | − | 0.573141i | \(-0.194275\pi\) |
−0.0866268 | + | 0.996241i | \(0.527609\pi\) | |||||||
\(864\) | 0.681634 | − | 0.265951i | 0.0231897 | − | 0.00904784i | ||||
\(865\) | 6.27869 | − | 10.8750i | 0.213482 | − | 0.369761i | ||||
\(866\) | −25.5838 | + | 44.3124i | −0.869373 | + | 1.50580i | ||||
\(867\) | 21.2955 | + | 19.7857i | 0.723232 | + | 0.671958i | ||||
\(868\) | 0.218285 | − | 0.383965i | 0.00740909 | − | 0.0130326i | ||||
\(869\) | 6.86391 | + | 3.96288i | 0.232842 | + | 0.134432i | ||||
\(870\) | −13.4446 | + | 58.7244i | −0.455815 | + | 1.99094i | ||||
\(871\) | −15.6847 | − | 3.50939i | −0.531456 | − | 0.118911i | ||||
\(872\) | −10.3516 | + | 5.97651i | −0.350550 | + | 0.202390i | ||||
\(873\) | 13.4987 | − | 27.9350i | 0.456861 | − | 0.945458i | ||||
\(874\) | 7.63397 | + | 4.40747i | 0.258223 | + | 0.149085i | ||||
\(875\) | −8.14741 | − | 4.63183i | −0.275433 | − | 0.156584i | ||||
\(876\) | −0.0989385 | − | 0.321511i | −0.00334282 | − | 0.0108628i | ||||
\(877\) | −13.5131 | −0.456304 | −0.228152 | − | 0.973625i | \(-0.573268\pi\) | ||||
−0.228152 | + | 0.973625i | \(0.573268\pi\) | |||||||
\(878\) | 22.9522 | − | 39.7543i | 0.774598 | − | 1.34164i | ||||
\(879\) | −21.2542 | − | 19.7474i | −0.716887 | − | 0.666063i | ||||
\(880\) | − | 31.8777i | − | 1.07460i | ||||||
\(881\) | −12.9595 | + | 22.4465i | −0.436616 | + | 0.756240i | −0.997426 | − | 0.0717039i | \(-0.977156\pi\) |
0.560810 | + | 0.827944i | \(0.310490\pi\) | |||||||
\(882\) | −29.4020 | + | 2.55819i | −0.990017 | + | 0.0861389i | ||||
\(883\) | 18.4111 | 0.619582 | 0.309791 | − | 0.950805i | \(-0.399741\pi\) | ||||
0.309791 | + | 0.950805i | \(0.399741\pi\) | |||||||
\(884\) | −0.0125049 | − | 0.0399325i | −0.000420586 | − | 0.00134308i | ||||
\(885\) | −39.0907 | − | 36.3193i | −1.31402 | − | 1.22086i | ||||
\(886\) | 7.53075 | 0.253001 | ||||||||
\(887\) | 16.2068 | + | 28.0711i | 0.544173 | + | 0.942535i | 0.998658 | + | 0.0517808i | \(0.0164897\pi\) |
−0.454486 | + | 0.890754i | \(0.650177\pi\) | |||||||
\(888\) | 38.0912 | − | 40.9977i | 1.27826 | − | 1.37579i | ||||
\(889\) | 3.10338 | − | 1.81940i | 0.104084 | − | 0.0610209i | ||||
\(890\) | 24.8541 | − | 14.3495i | 0.833111 | − | 0.480997i | ||||
\(891\) | −22.7622 | − | 9.00358i | −0.762564 | − | 0.301631i | ||||
\(892\) | −0.110336 | + | 0.0637027i | −0.00369433 | + | 0.00213292i | ||||
\(893\) | −19.1296 | − | 11.0445i | −0.640148 | − | 0.369589i | ||||
\(894\) | −22.2858 | − | 20.7059i | −0.745350 | − | 0.692508i | ||||
\(895\) | −2.57329 | − | 1.48569i | −0.0860156 | − | 0.0496612i | ||||
\(896\) | −29.3616 | + | 0.195568i | −0.980902 | + | 0.00653346i | ||||
\(897\) | 12.4737 | − | 8.57061i | 0.416485 | − | 0.286164i | ||||
\(898\) | 20.5709 | − | 35.6299i | 0.686461 | − | 1.18899i | ||||
\(899\) | 55.9273 | 1.86528 | ||||||||
\(900\) | 0.235080 | − | 0.159817i | 0.00783601 | − | 0.00532722i | ||||
\(901\) | 0.536039i | 0.0178581i | ||||||||
\(902\) | 32.0477 | 1.06707 | ||||||||
\(903\) | 6.17972 | + | 19.6159i | 0.205648 | + | 0.652776i | ||||
\(904\) | −18.2816 | − | 31.6647i | −0.608038 | − | 1.05315i | ||||
\(905\) | −11.9207 | − | 6.88239i | −0.396256 | − | 0.228779i | ||||
\(906\) | −12.5031 | − | 2.86252i | −0.415389 | − | 0.0951010i | ||||
\(907\) | 13.4248 | 0.445763 | 0.222881 | − | 0.974846i | \(-0.428454\pi\) | ||||
0.222881 | + | 0.974846i | \(0.428454\pi\) | |||||||
\(908\) | −0.287609 | − | 0.498153i | −0.00954464 | − | 0.0165318i | ||||
\(909\) | −16.4895 | + | 11.2102i | −0.546922 | + | 0.371819i | ||||
\(910\) | −26.7396 | + | 29.4583i | −0.886411 | + | 0.976535i | ||||
\(911\) | 14.3638i | 0.475892i | 0.971278 | + | 0.237946i | \(0.0764742\pi\) | ||||
−0.971278 | + | 0.237946i | \(0.923526\pi\) | |||||||
\(912\) | −12.0514 | + | 12.9710i | −0.399061 | + | 0.429511i | ||||
\(913\) | 28.9746i | 0.958921i | ||||||||
\(914\) | −38.1335 | − | 22.0164i | −1.26134 | − | 0.728237i | ||||
\(915\) | 45.7236 | + | 10.4681i | 1.51157 | + | 0.346066i | ||||
\(916\) | −0.538114 | + | 0.310680i | −0.0177798 | + | 0.0102652i | ||||
\(917\) | −26.6090 | + | 15.5999i | −0.878707 | + | 0.515155i | ||||
\(918\) | 2.65752 | + | 2.12800i | 0.0877112 | + | 0.0702345i | ||||
\(919\) | 0.613513 | 0.0202379 | 0.0101190 | − | 0.999949i | \(-0.496779\pi\) | ||||
0.0101190 | + | 0.999949i | \(0.496779\pi\) | |||||||
\(920\) | 20.4657 | 0.674734 | ||||||||
\(921\) | −1.52069 | − | 4.94165i | −0.0501085 | − | 0.162833i | ||||
\(922\) | 6.67883 | + | 3.85602i | 0.219955 | + | 0.126991i | ||||
\(923\) | 29.0451 | − | 9.09550i | 0.956030 | − | 0.299382i | ||||
\(924\) | −0.228703 | − | 0.209668i | −0.00752378 | − | 0.00689758i | ||||
\(925\) | 21.6078 | − | 37.4259i | 0.710462 | − | 1.23056i | ||||
\(926\) | −12.7767 | + | 7.37666i | −0.419870 | + | 0.242412i | ||||
\(927\) | 26.6862 | − | 1.96411i | 0.876490 | − | 0.0645099i | ||||
\(928\) | 0.587175 | + | 1.01702i | 0.0192750 | + | 0.0333852i | ||||
\(929\) | 1.25806 | 0.0412755 | 0.0206378 | − | 0.999787i | \(-0.493430\pi\) | ||||
0.0206378 | + | 0.999787i | \(0.493430\pi\) | |||||||
\(930\) | 35.4883 | + | 32.9723i | 1.16371 | + | 1.08121i | ||||
\(931\) | −15.5679 | + | 9.26680i | −0.510217 | + | 0.303707i | ||||
\(932\) | −0.257169 | + | 0.148477i | −0.00842386 | + | 0.00486352i | ||||
\(933\) | −3.60645 | − | 3.35077i | −0.118070 | − | 0.109699i | ||||
\(934\) | 17.1943i | 0.562615i | ||||||||
\(935\) | −3.25871 | + | 1.88141i | −0.106571 | + | 0.0615288i | ||||
\(936\) | 11.3302 | + | 28.6205i | 0.370338 | + | 0.935489i | ||||
\(937\) | − | 13.4531i | − | 0.439494i | −0.975557 | − | 0.219747i | \(-0.929477\pi\) | ||
0.975557 | − | 0.219747i | \(-0.0705232\pi\) | |||||||
\(938\) | 16.5747 | − | 0.110399i | 0.541184 | − | 0.00360465i | ||||
\(939\) | −14.2854 | − | 3.27057i | −0.466187 | − | 0.106731i | ||||
\(940\) | −0.630477 | −0.0205639 | ||||||||
\(941\) | 10.6364 | + | 18.4228i | 0.346736 | + | 0.600565i | 0.985668 | − | 0.168699i | \(-0.0539566\pi\) |
−0.638931 | + | 0.769264i | \(0.720623\pi\) | |||||||
\(942\) | 0.191762 | − | 0.837594i | 0.00624796 | − | 0.0272903i | ||||
\(943\) | 20.3187i | 0.661666i | ||||||||
\(944\) | 41.0017 | 1.33449 | ||||||||
\(945\) | −5.89232 | + | 40.3693i | −0.191677 | + | 1.31321i | ||||
\(946\) | 8.57727 | − | 14.8563i | 0.278871 | − | 0.483019i | ||||
\(947\) | 6.58584 | − | 3.80234i | 0.214011 | − | 0.123559i | −0.389163 | − | 0.921169i | \(-0.627236\pi\) |
0.603174 | + | 0.797609i | \(0.293902\pi\) | |||||||
\(948\) | −0.0920491 | − | 0.0855232i | −0.00298962 | − | 0.00277767i | ||||
\(949\) | 26.8442 | − | 8.40631i | 0.871400 | − | 0.272880i | ||||
\(950\) | −6.92252 | + | 11.9902i | −0.224596 | + | 0.389012i | ||||
\(951\) | −47.9641 | − | 10.9811i | −1.55534 | − | 0.356087i | ||||
\(952\) | 1.77528 | + | 3.02812i | 0.0575373 | + | 0.0981421i | ||||
\(953\) | 11.5075 | − | 6.64386i | 0.372765 | − | 0.215216i | −0.301901 | − | 0.953339i | \(-0.597621\pi\) |
0.674666 | + | 0.738123i | \(0.264288\pi\) | |||||||
\(954\) | −0.355828 | − | 4.83460i | −0.0115203 | − | 0.156526i | ||||
\(955\) | 6.95139 | + | 4.01339i | 0.224942 | + | 0.129870i | ||||
\(956\) | 0.221925 | + | 0.128129i | 0.00717758 | + | 0.00414398i | ||||
\(957\) | 8.76785 | − | 38.2969i | 0.283424 | − | 1.23796i | ||||
\(958\) | −19.1935 | + | 11.0814i | −0.620113 | + | 0.358023i | ||||
\(959\) | −1.70703 | − | 2.91170i | −0.0551228 | − | 0.0940236i | ||||
\(960\) | −9.28801 | + | 40.5689i | −0.299769 | + | 1.30935i | ||||
\(961\) | 6.98542 | − | 12.0991i | 0.225336 | − | 0.390294i | ||||
\(962\) | 42.3403 | + | 38.9502i | 1.36511 | + | 1.25581i | ||||
\(963\) | −0.152208 | + | 0.314989i | −0.00490483 | + | 0.0101504i | ||||
\(964\) | −0.342577 | + | 0.197787i | −0.0110337 | + | 0.00637029i | ||||
\(965\) | −36.0158 | + | 62.3811i | −1.15939 | + | 2.00812i | ||||
\(966\) | −10.5471 | + | 11.5046i | −0.339347 | + | 0.370155i | ||||
\(967\) | 41.8154 | 1.34469 | 0.672346 | − | 0.740237i | \(-0.265287\pi\) | ||||
0.672346 | + | 0.740237i | \(0.265287\pi\) | |||||||
\(968\) | − | 10.2523i | − | 0.329522i | ||||||
\(969\) | 2.03723 | + | 0.466412i | 0.0654452 | + | 0.0149833i | ||||
\(970\) | 21.5655 | + | 37.3526i | 0.692427 | + | 1.19932i | ||||
\(971\) | 20.3903 | 0.654354 | 0.327177 | − | 0.944963i | \(-0.393903\pi\) | ||||
0.327177 | + | 0.944963i | \(0.393903\pi\) | |||||||
\(972\) | 0.319896 | + | 0.219665i | 0.0102607 | + | 0.00704576i | ||||
\(973\) | −10.9674 | + | 0.0730505i | −0.351600 | + | 0.00234189i | ||||
\(974\) | − | 35.0976i | − | 1.12460i | ||||||
\(975\) | 13.4613 | + | 19.5916i | 0.431106 | + | 0.627434i | ||||
\(976\) | −31.2147 | + | 18.0218i | −0.999157 | + | 0.576863i | ||||
\(977\) | − | 8.77937i | − | 0.280877i | −0.990089 | − | 0.140438i | \(-0.955149\pi\) | ||
0.990089 | − | 0.140438i | \(-0.0448512\pi\) | |||||||
\(978\) | 39.2694 | − | 42.2658i | 1.25570 | − | 1.35151i | ||||
\(979\) | −16.2085 | + | 9.35798i | −0.518026 | + | 0.299082i | ||||
\(980\) | −0.252568 | + | 0.451237i | −0.00806798 | + | 0.0144142i | ||||
\(981\) | −11.3457 | − | 5.48244i | −0.362241 | − | 0.175041i | ||||
\(982\) | 59.4972 | 1.89863 | ||||||||
\(983\) | −11.5468 | − | 19.9996i | −0.368285 | − | 0.637888i | 0.621013 | − | 0.783800i | \(-0.286721\pi\) |
−0.989297 | + | 0.145913i | \(0.953388\pi\) | |||||||
\(984\) | −40.2836 | − | 9.22270i | −1.28419 | − | 0.294009i | ||||
\(985\) | −18.1987 | + | 10.5070i | −0.579858 | + | 0.334781i | ||||
\(986\) | −2.73214 | + | 4.73221i | −0.0870091 | + | 0.150704i | ||||
\(987\) | 26.4295 | − | 28.8289i | 0.841259 | − | 0.917633i | ||||
\(988\) | 0.170964 | + | 0.157276i | 0.00543910 | + | 0.00500361i | ||||
\(989\) | 9.41908 | + | 5.43811i | 0.299509 | + | 0.172922i | ||||
\(990\) | 28.1417 | − | 19.1319i | 0.894403 | − | 0.608050i | ||||
\(991\) | −6.00941 | −0.190895 | −0.0954477 | − | 0.995434i | \(-0.530428\pi\) | ||||
−0.0954477 | + | 0.995434i | \(0.530428\pi\) | |||||||
\(992\) | 0.944288 | 0.0299812 | ||||||||
\(993\) | −40.9056 | + | 12.5879i | −1.29810 | + | 0.399464i | ||||
\(994\) | −27.0774 | + | 15.8745i | −0.858842 | + | 0.503509i | ||||
\(995\) | −49.4647 | + | 28.5585i | −1.56814 | + | 0.905365i | ||||
\(996\) | 0.102510 | − | 0.447751i | 0.00324816 | − | 0.0141875i | ||||
\(997\) | −10.6404 | − | 6.14323i | −0.336985 | − | 0.194558i | 0.321953 | − | 0.946756i | \(-0.395661\pi\) |
−0.658938 | + | 0.752197i | \(0.728994\pi\) | |||||||
\(998\) | 13.2307i | 0.418810i | ||||||||
\(999\) | 58.3187 | + | 8.90933i | 1.84512 | + | 0.281879i |
(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.bf.b.152.10 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.152.23 | yes | 64 | |
7.3 | odd | 6 | 273.2.r.b.269.10 | yes | 64 | ||
13.3 | even | 3 | 273.2.r.b.68.10 | ✓ | 64 | ||
21.17 | even | 6 | 273.2.r.b.269.23 | yes | 64 | ||
39.29 | odd | 6 | 273.2.r.b.68.23 | yes | 64 | ||
91.3 | odd | 6 | inner | 273.2.bf.b.185.23 | yes | 64 | |
273.185 | even | 6 | inner | 273.2.bf.b.185.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.10 | ✓ | 64 | 13.3 | even | 3 | ||
273.2.r.b.68.23 | yes | 64 | 39.29 | odd | 6 | ||
273.2.r.b.269.10 | yes | 64 | 7.3 | odd | 6 | ||
273.2.r.b.269.23 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.152.10 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.23 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.10 | yes | 64 | 273.185 | even | 6 | inner | |
273.2.bf.b.185.23 | yes | 64 | 91.3 | odd | 6 | inner |