Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1440,2,Mod(481,1440)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1440, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1440.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1440 = 2^{5} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1440.q (of order \(3\), 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: | \(11.4984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.8528759163648.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + x^{8} + 9x^{6} - 36x^{5} + 27x^{4} + 27x^{2} - 162x + 243 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 481.5 | ||
Root | \(0.756905 - 1.55791i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1440.481 |
Dual form | 1440.2.q.p.961.5 |
$q$-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 \(\left(\mathbb{Z}/1440\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(641\) | \(901\) | \(991\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 1.72765 | − | 0.123458i | 0.997456 | − | 0.0712786i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.53662 | − | 2.66151i | −0.580789 | − | 1.00596i | −0.995386 | − | 0.0959511i | \(-0.969411\pi\) |
0.414597 | − | 0.910005i | \(-0.363923\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.96952 | − | 0.426584i | 0.989839 | − | 0.142195i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.97074 | − | 3.41342i | −0.594201 | − | 1.02919i | −0.993659 | − | 0.112434i | \(-0.964135\pi\) |
0.399459 | − | 0.916751i | \(-0.369198\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.396269 | + | 0.686358i | −0.109905 | + | 0.190361i | −0.915732 | − | 0.401790i | \(-0.868388\pi\) |
0.805826 | + | 0.592152i | \(0.201721\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.756905 | + | 1.55791i | −0.195432 | + | 0.402252i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.70838 | 1.14195 | 0.570975 | − | 0.820967i | \(-0.306565\pi\) | ||||
0.570975 | + | 0.820967i | \(0.306565\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.32879 | 0.304845 | 0.152422 | − | 0.988315i | \(-0.451293\pi\) | ||||
0.152422 | + | 0.988315i | \(0.451293\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.98333 | − | 4.40844i | −0.651015 | − | 0.962000i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.536624 | − | 0.929459i | 0.111894 | − | 0.193806i | −0.804640 | − | 0.593763i | \(-0.797642\pi\) |
0.916534 | + | 0.399957i | \(0.130975\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.07761 | − | 1.10360i | 0.977186 | − | 0.212387i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.39940 | − | 7.61999i | −0.816949 | − | 1.41500i | −0.907920 | − | 0.419143i | \(-0.862331\pi\) |
0.0909717 | − | 0.995853i | \(-0.471003\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.855415 | + | 1.48162i | −0.153637 | + | 0.266107i | −0.932562 | − | 0.361010i | \(-0.882432\pi\) |
0.778925 | + | 0.627117i | \(0.215765\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.82616 | − | 5.65388i | −0.666048 | − | 0.984214i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.07325 | 0.519474 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.11804 | 1.33460 | 0.667299 | − | 0.744790i | \(-0.267450\pi\) | ||||
0.667299 | + | 0.744790i | \(0.267450\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.599876 | + | 1.23471i | −0.0960570 | + | 0.197711i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.103731 | + | 0.179667i | −0.0162001 | + | 0.0280593i | −0.874012 | − | 0.485905i | \(-0.838490\pi\) |
0.857812 | + | 0.513964i | \(0.171824\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.35034 | − | 9.26705i | −0.815918 | − | 1.41321i | −0.908667 | − | 0.417523i | \(-0.862898\pi\) |
0.0927481 | − | 0.995690i | \(-0.470435\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.11533 | + | 2.78497i | −0.166263 | + | 0.415159i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.62269 | − | 8.00673i | −0.674289 | − | 1.16790i | −0.976676 | − | 0.214717i | \(-0.931117\pi\) |
0.302388 | − | 0.953185i | \(-0.402216\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.22242 | + | 2.11730i | −0.174632 | + | 0.302472i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.13441 | − | 0.581288i | 1.13905 | − | 0.0813966i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −12.7935 | −1.75733 | −0.878664 | − | 0.477440i | \(-0.841565\pi\) | ||||
−0.878664 | + | 0.477440i | \(0.841565\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.94148 | 0.531469 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.29567 | − | 0.164050i | 0.304069 | − | 0.0217289i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.97265 | − | 10.3449i | 0.777573 | − | 1.34680i | −0.155764 | − | 0.987794i | \(-0.549784\pi\) |
0.933337 | − | 0.359001i | \(-0.116883\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.98069 | + | 6.89477i | 0.509676 | + | 0.882784i | 0.999937 | + | 0.0112088i | \(0.00356795\pi\) |
−0.490261 | + | 0.871575i | \(0.663099\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.69839 | − | 7.24790i | −0.717929 | − | 0.913149i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.396269 | − | 0.686358i | −0.0491511 | − | 0.0851322i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.00644531 | + | 0.0111636i | −0.000787420 | + | 0.00136385i | −0.866419 | − | 0.499318i | \(-0.833584\pi\) |
0.865631 | + | 0.500682i | \(0.166917\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.812346 | − | 1.67203i | 0.0977950 | − | 0.201288i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.44240 | 1.12061 | 0.560303 | − | 0.828287i | \(-0.310685\pi\) | ||||
0.560303 | + | 0.828287i | \(0.310685\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.14123 | 0.835818 | 0.417909 | − | 0.908489i | \(-0.362763\pi\) | ||||
0.417909 | + | 0.908489i | \(0.362763\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.970741 | − | 1.43446i | −0.112091 | − | 0.165637i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.05657 | + | 10.4903i | −0.690211 | + | 1.19548i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.60423 | + | 6.24272i | 0.405508 | + | 0.702360i | 0.994380 | − | 0.105866i | \(-0.0337613\pi\) |
−0.588872 | + | 0.808226i | \(0.700428\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.63605 | − | 2.53349i | 0.959561 | − | 0.281499i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.70274 | + | 9.87744i | 0.625957 | + | 1.08419i | 0.988355 | + | 0.152166i | \(0.0486250\pi\) |
−0.362397 | + | 0.932024i | \(0.618042\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.35419 | + | 4.07758i | −0.255348 | + | 0.442275i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −8.54136 | − | 12.6215i | −0.915730 | − | 1.35317i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.67993 | −0.178072 | −0.0890361 | − | 0.996028i | \(-0.528379\pi\) | ||||
−0.0890361 | + | 0.996028i | \(0.528379\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.43566 | 0.255327 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.29494 | + | 2.66533i | −0.134279 | + | 0.276381i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.664393 | + | 1.15076i | −0.0681653 | + | 0.118066i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.12404 | + | 12.3392i | 0.723337 | + | 1.25286i | 0.959655 | + | 0.281180i | \(0.0907259\pi\) |
−0.236318 | + | 0.971676i | \(0.575941\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.30826 | − | 9.29553i | −0.734507 | − | 0.934236i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.07570 | + | 1.86316i | 0.107036 | + | 0.185391i | 0.914568 | − | 0.404432i | \(-0.132531\pi\) |
−0.807532 | + | 0.589823i | \(0.799197\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.51572 | − | 13.0176i | 0.740546 | − | 1.28266i | −0.211701 | − | 0.977334i | \(-0.567900\pi\) |
0.952247 | − | 0.305328i | \(-0.0987663\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.30948 | − | 0.379417i | 0.518152 | − | 0.0370273i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.91659 | −0.185284 | −0.0926420 | − | 0.995699i | \(-0.529531\pi\) | ||||
−0.0926420 | + | 0.995699i | \(0.529531\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.82726 | −0.462367 | −0.231184 | − | 0.972910i | \(-0.574260\pi\) | ||||
−0.231184 | + | 0.972910i | \(0.574260\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.0251 | − | 1.00224i | 1.33120 | − | 0.0951283i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.48291 | + | 11.2287i | −0.609861 | + | 1.05631i | 0.381402 | + | 0.924409i | \(0.375441\pi\) |
−0.991263 | + | 0.131901i | \(0.957892\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.536624 | + | 0.929459i | 0.0500404 | + | 0.0866725i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.883938 | + | 2.20719i | −0.0817201 | + | 0.204055i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.23501 | − | 12.5314i | −0.663232 | − | 1.14875i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.26764 | + | 3.92766i | −0.206149 | + | 0.357060i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.157029 | + | 0.323208i | −0.0141588 | + | 0.0291427i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.0801256 | 0.00711000 | 0.00355500 | − | 0.999994i | \(-0.498868\pi\) | ||||
0.00355500 | + | 0.999994i | \(0.498868\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.3876 | − | 15.3496i | −0.914575 | − | 1.35146i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.3126 | + | 17.8620i | −0.901017 | + | 1.56061i | −0.0748415 | + | 0.997195i | \(0.523845\pi\) |
−0.826176 | + | 0.563412i | \(0.809488\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.04184 | − | 3.53658i | −0.177050 | − | 0.306660i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.58306 | + | 4.94913i | −0.136248 | + | 0.425954i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.907864 | − | 1.57247i | −0.0775640 | − | 0.134345i | 0.824634 | − | 0.565666i | \(-0.191381\pi\) |
−0.902198 | + | 0.431321i | \(0.858048\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.46129 | − | 2.53103i | 0.123945 | − | 0.214679i | −0.797375 | − | 0.603484i | \(-0.793779\pi\) |
0.921320 | + | 0.388805i | \(0.127112\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.97486 | − | 13.2621i | −0.755820 | − | 1.11687i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.12377 | 0.261223 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.79881 | 0.730701 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.85052 | + | 3.80886i | −0.152628 | + | 0.314150i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.05639 | + | 10.4900i | −0.496159 | + | 0.859372i | −0.999990 | − | 0.00442972i | \(-0.998590\pi\) |
0.503831 | + | 0.863802i | \(0.331923\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.71875 | + | 11.6372i | 0.546764 | + | 0.947023i | 0.998494 | + | 0.0548684i | \(0.0174739\pi\) |
−0.451729 | + | 0.892155i | \(0.649193\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 13.9816 | − | 2.00852i | 1.13035 | − | 0.162379i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.855415 | − | 1.48162i | −0.0687086 | − | 0.119007i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.9538 | + | 18.9725i | −0.874205 | + | 1.51417i | −0.0165983 | + | 0.999862i | \(0.505284\pi\) |
−0.857607 | + | 0.514306i | \(0.828050\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −22.1027 | + | 1.57947i | −1.75286 | + | 0.125260i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.29835 | −0.259947 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.91256 | −0.619760 | −0.309880 | − | 0.950776i | \(-0.600289\pi\) | ||||
−0.309880 | + | 0.950776i | \(0.600289\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.80948 | − | 0.486608i | 0.530117 | − | 0.0378824i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.972828 | + | 1.68499i | −0.0752797 | + | 0.130388i | −0.901208 | − | 0.433387i | \(-0.857318\pi\) |
0.825928 | + | 0.563775i | \(0.190652\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.18594 | + | 10.7144i | 0.475842 | + | 0.824182i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.94585 | − | 0.566839i | 0.301747 | − | 0.0433472i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.00429 | − | 3.47153i | −0.152383 | − | 0.263935i | 0.779720 | − | 0.626128i | \(-0.215361\pi\) |
−0.932103 | + | 0.362193i | \(0.882028\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.53662 | + | 2.66151i | −0.116158 | + | 0.201191i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.04145 | − | 18.6097i | 0.679597 | − | 1.39879i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.68505 | −0.424920 | −0.212460 | − | 0.977170i | \(-0.568148\pi\) | ||||
−0.212460 | + | 0.977170i | \(0.568148\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.08812 | 0.378197 | 0.189098 | − | 0.981958i | \(-0.439443\pi\) | ||||
0.189098 | + | 0.981958i | \(0.439443\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.72844 | + | 11.4203i | 0.571303 | + | 0.844210i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.05902 | + | 7.03043i | −0.298425 | + | 0.516888i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.27900 | − | 16.0717i | −0.678547 | − | 1.17528i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.7396 | − | 11.8183i | −0.781191 | − | 0.859654i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.14642 | + | 8.91387i | 0.372382 | + | 0.644985i | 0.989931 | − | 0.141547i | \(-0.0452078\pi\) |
−0.617549 | + | 0.786532i | \(0.711874\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.2648 | − | 21.2432i | 0.882838 | − | 1.52912i | 0.0346653 | − | 0.999399i | \(-0.488963\pi\) |
0.848172 | − | 0.529721i | \(-0.177703\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.769349 | − | 1.13686i | −0.0550942 | − | 0.0814123i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.9124 | −1.27621 | −0.638103 | − | 0.769951i | \(-0.720281\pi\) | ||||
−0.638103 | + | 0.769951i | \(0.720281\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.1152 | 0.717050 | 0.358525 | − | 0.933520i | \(-0.383280\pi\) | ||||
0.358525 | + | 0.933520i | \(0.383280\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.00975697 | + | 0.0200825i | −0.000688204 | + | 0.00141651i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −13.5205 | + | 23.4181i | −0.948950 | + | 1.64363i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.103731 | − | 0.179667i | −0.00724489 | − | 0.0125485i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.19702 | − | 2.98896i | 0.0831987 | − | 0.207747i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.61869 | − | 4.53571i | −0.181139 | − | 0.313742i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.90302 | + | 5.02819i | −0.199852 | + | 0.346155i | −0.948480 | − | 0.316836i | \(-0.897380\pi\) |
0.748628 | + | 0.662990i | \(0.230713\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 16.3131 | − | 1.16574i | 1.11776 | − | 0.0798753i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.7007 | 0.729780 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.25780 | 0.356923 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 12.3375 | − | 0.881643i | 0.833692 | − | 0.0595759i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.86579 | + | 3.23163i | −0.125506 | + | 0.217383i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.06325 | + | 7.03776i | 0.272095 | + | 0.471283i | 0.969398 | − | 0.245494i | \(-0.0789500\pi\) |
−0.697303 | + | 0.716777i | \(0.745617\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.85419 | − | 2.35838i | −0.123613 | − | 0.157226i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.68438 | − | 11.5777i | −0.443658 | − | 0.768438i | 0.554300 | − | 0.832317i | \(-0.312986\pi\) |
−0.997958 | + | 0.0638789i | \(0.979653\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.3128 | − | 21.3264i | 0.813653 | − | 1.40929i | −0.0966389 | − | 0.995320i | \(-0.530809\pi\) |
0.910291 | − | 0.413968i | \(-0.135857\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.16850 | + | 18.8712i | −0.603243 | + | 1.24164i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −21.3231 | −1.39692 | −0.698461 | − | 0.715648i | \(-0.746131\pi\) | ||||
−0.698461 | + | 0.715648i | \(0.746131\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.24538 | 0.603102 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.99755 | + | 10.3402i | 0.454540 | + | 0.671670i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.676476 | + | 1.17169i | −0.0437576 | + | 0.0757903i | −0.887075 | − | 0.461626i | \(-0.847266\pi\) |
0.843317 | + | 0.537416i | \(0.180600\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.94106 | + | 12.0223i | 0.447113 | + | 0.774423i | 0.998197 | − | 0.0600272i | \(-0.0191187\pi\) |
−0.551083 | + | 0.834450i | \(0.685785\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.6073 | − | 5.44317i | 0.937056 | − | 0.349180i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.22242 | − | 2.11730i | −0.0780978 | − | 0.135269i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.526557 | + | 0.912023i | −0.0335040 | + | 0.0580306i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 11.0718 | + | 16.3607i | 0.701645 | + | 1.03682i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.48547 | 0.535598 | 0.267799 | − | 0.963475i | \(-0.413704\pi\) | ||||
0.267799 | + | 0.963475i | \(0.413704\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.23018 | −0.265949 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.56380 | + | 7.33525i | −0.223174 | + | 0.459351i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.2765 | − | 17.7995i | 0.641033 | − | 1.11030i | −0.344169 | − | 0.938908i | \(-0.611839\pi\) |
0.985202 | − | 0.171395i | \(-0.0548274\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.4744 | − | 21.6063i | −0.775120 | − | 1.34255i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −16.3147 | − | 20.7510i | −1.00985 | − | 1.28445i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −8.90021 | − | 15.4156i | −0.548811 | − | 0.950568i | −0.998356 | − | 0.0573104i | \(-0.981748\pi\) |
0.449546 | − | 0.893257i | \(-0.351586\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.39677 | − | 11.0795i | 0.392951 | − | 0.680610i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.90232 | + | 0.207401i | −0.177619 | + | 0.0126927i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.05081 | −0.186011 | −0.0930055 | − | 0.995666i | \(-0.529647\pi\) | ||||
−0.0930055 | + | 0.995666i | \(0.529647\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.75047 | 0.410062 | 0.205031 | − | 0.978755i | \(-0.434270\pi\) | ||||
0.205031 | + | 0.978755i | \(0.434270\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 4.20796 | − | 0.300703i | 0.254678 | − | 0.0181994i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.97074 | + | 3.41342i | −0.118840 | + | 0.205837i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.55047 | − | 2.68550i | −0.0931590 | − | 0.161356i | 0.815680 | − | 0.578504i | \(-0.196363\pi\) |
−0.908839 | + | 0.417148i | \(0.863030\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.90813 | + | 4.76461i | −0.114237 | + | 0.285250i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.28629 | − | 7.42408i | −0.255699 | − | 0.442883i | 0.709386 | − | 0.704820i | \(-0.248972\pi\) |
−0.965085 | + | 0.261937i | \(0.915639\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.1865 | + | 17.6435i | −0.605524 | + | 1.04880i | 0.386445 | + | 0.922313i | \(0.373703\pi\) |
−0.991968 | + | 0.126485i | \(0.959630\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.00576 | + | 2.07013i | −0.0595764 | + | 0.122624i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.637582 | 0.0376353 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.16885 | 0.304050 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.8312 | + | 20.4382i | 0.810799 | + | 1.19811i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 8.57795 | − | 14.8574i | 0.501129 | − | 0.867981i | −0.498870 | − | 0.866677i | \(-0.666251\pi\) |
0.999999 | − | 0.00130436i | \(-0.000415189\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.97265 | + | 10.3449i | 0.347741 | + | 0.602305i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −13.7737 | − | 15.1571i | −0.799230 | − | 0.879505i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.425295 | + | 0.736632i | 0.0245954 | + | 0.0426005i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −16.4429 | + | 28.4799i | −0.947753 | + | 1.64156i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.08844 | + | 3.08608i | 0.119978 | + | 0.177290i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −7.96139 | −0.455868 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −34.9119 | −1.99253 | −0.996263 | − | 0.0863739i | \(-0.972472\pi\) | ||||
−0.996263 | + | 0.0863739i | \(0.972472\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.3774 | − | 23.4177i | 0.647236 | − | 1.33219i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.25737 | − | 9.10603i | 0.298118 | − | 0.516355i | −0.677587 | − | 0.735442i | \(-0.736974\pi\) |
0.975705 | + | 0.219087i | \(0.0703078\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.7184 | + | 23.7610i | 0.775412 | + | 1.34305i | 0.934562 | + | 0.355799i | \(0.115791\pi\) |
−0.159150 | + | 0.987254i | \(0.550875\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 9.12606 | − | 1.31100i | 0.514195 | − | 0.0738663i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 13.0212 | + | 22.5535i | 0.731346 | + | 1.26673i | 0.956308 | + | 0.292361i | \(0.0944408\pi\) |
−0.224962 | + | 0.974367i | \(0.572226\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.3402 | + | 30.0340i | −0.970863 | + | 1.68158i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.31119 | + | 0.236619i | −0.184813 | + | 0.0132068i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.25643 | 0.348117 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.792538 | 0.0439621 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.33979 | + | 0.595964i | −0.461191 | + | 0.0329569i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −14.2067 | + | 24.6067i | −0.783239 | + | 1.35661i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.1007 | + | 24.4232i | 0.775046 | + | 1.34242i | 0.934769 | + | 0.355257i | \(0.115607\pi\) |
−0.159723 | + | 0.987162i | \(0.551060\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 24.1067 | − | 3.46303i | 1.32104 | − | 0.189773i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.00644531 | − | 0.0111636i | −0.000352145 | − | 0.000609933i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.0283554 | + | 0.0491129i | −0.00154461 | + | 0.00267535i | −0.866797 | − | 0.498662i | \(-0.833825\pi\) |
0.865252 | + | 0.501337i | \(0.167158\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.81389 | + | 20.1996i | −0.533017 | + | 1.09709i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.74320 | 0.365165 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.9991 | −0.755881 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.04184 | + | 1.53953i | 0.0560910 | + | 0.0828853i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.4717 | + | 19.8695i | −0.615831 | + | 1.06665i | 0.374407 | + | 0.927264i | \(0.377846\pi\) |
−0.990238 | + | 0.139386i | \(0.955487\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.8610 | + | 24.0079i | 0.741960 | + | 1.28511i | 0.951602 | + | 0.307334i | \(0.0994370\pi\) |
−0.209641 | + | 0.977778i | \(0.567230\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.25464 | + | 3.92238i | −0.0669675 | + | 0.209361i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.04406 | + | 7.00452i | 0.215244 | + | 0.372813i | 0.953348 | − | 0.301874i | \(-0.0976121\pi\) |
−0.738104 | + | 0.674687i | \(0.764279\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.72120 | + | 8.17736i | −0.250575 | + | 0.434009i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −14.0466 | − | 20.7566i | −0.743427 | − | 1.09856i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.65559 | 0.509603 | 0.254801 | − | 0.966993i | \(-0.417990\pi\) | ||||
0.254801 | + | 0.966993i | \(0.417990\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.2343 | −0.907070 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.43277 | + | 7.06556i | −0.180174 | + | 0.370846i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.57062 | + | 6.18449i | −0.186895 | + | 0.323711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.51291 | + | 16.4768i | 0.496570 | + | 0.860084i | 0.999992 | − | 0.00395655i | \(-0.00125941\pi\) |
−0.503423 | + | 0.864040i | \(0.667926\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.231388 | + | 0.577775i | −0.0120456 | + | 0.0300778i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 19.6589 | + | 34.0501i | 1.02064 | + | 1.76780i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.88569 | − | 13.6584i | 0.408306 | − | 0.707206i | −0.586394 | − | 0.810026i | \(-0.699453\pi\) |
0.994700 | + | 0.102820i | \(0.0327864\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.72765 | − | 0.123458i | 0.0892152 | − | 0.00637535i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.97339 | 0.359148 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.168851 | −0.00867331 | −0.00433665 | − | 0.999991i | \(-0.501380\pi\) | ||||
−0.00433665 | + | 0.999991i | \(0.501380\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.138429 | − | 0.00989216i | 0.00709191 | − | 0.000506791i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.83924 | − | 10.1139i | 0.298371 | − | 0.516794i | −0.677392 | − | 0.735622i | \(-0.736890\pi\) |
0.975764 | + | 0.218828i | \(0.0702233\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.05657 | − | 10.4903i | −0.308672 | − | 0.534635i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −19.8411 | − | 25.2363i | −1.00858 | − | 1.28283i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.32640 | − | 2.29740i | −0.0672513 | − | 0.116483i | 0.830439 | − | 0.557109i | \(-0.188090\pi\) |
−0.897690 | + | 0.440627i | \(0.854756\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.52663 | − | 4.37625i | 0.127777 | − | 0.221316i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −15.6113 | + | 32.1323i | −0.787488 | + | 1.62086i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.20847 | −0.362697 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.2138 | 1.21525 | 0.607627 | − | 0.794223i | \(-0.292122\pi\) | ||||
0.607627 | + | 0.794223i | \(0.292122\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.96420 | − | 5.85787i | −0.198458 | − | 0.293260i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.1748 | − | 26.2836i | 0.757796 | − | 1.31254i | −0.186177 | − | 0.982516i | \(-0.559610\pi\) |
0.943972 | − | 0.330025i | \(-0.107057\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.677949 | − | 1.17424i | −0.0337710 | − | 0.0584931i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.12396 | + | 8.74579i | −0.105540 | + | 0.434582i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.9986 | − | 27.7103i | −0.793019 | − | 1.37355i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.9849 | + | 19.0265i | −0.543170 | + | 0.940798i | 0.455550 | + | 0.890210i | \(0.349443\pi\) |
−0.998720 | + | 0.0505874i | \(0.983891\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.76260 | − | 2.60458i | −0.0869426 | − | 0.128474i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −36.7109 | −1.80642 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.4055 | −0.559873 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.21211 | − | 4.55312i | 0.108328 | − | 0.222967i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −11.4500 | + | 19.8319i | −0.559367 | + | 0.968852i | 0.438182 | + | 0.898886i | \(0.355622\pi\) |
−0.997549 | + | 0.0699660i | \(0.977711\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.53297 | + | 9.58338i | 0.269660 | + | 0.467065i | 0.968774 | − | 0.247945i | \(-0.0797552\pi\) |
−0.699114 | + | 0.715010i | \(0.746422\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −17.1427 | − | 21.8042i | −0.833506 | − | 1.06015i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.35419 | − | 4.07758i | −0.114195 | − | 0.197792i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.2337 | − | 21.1893i | 0.592028 | − | 1.02542i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.39677 | − | 0.385655i | 0.260559 | − | 0.0186196i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.0586 | 1.11069 | 0.555346 | − | 0.831619i | \(-0.312586\pi\) | ||||
0.555346 | + | 0.831619i | \(0.312586\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.3970 | −0.595763 | −0.297881 | − | 0.954603i | \(-0.596280\pi\) | ||||
−0.297881 | + | 0.954603i | \(0.596280\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 15.2012 | − | 1.08628i | 0.728842 | − | 0.0520833i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.713058 | − | 1.23505i | 0.0341102 | − | 0.0590806i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.116062 | + | 0.201026i | 0.00553934 | + | 0.00959443i | 0.868782 | − | 0.495195i | \(-0.164903\pi\) |
−0.863242 | + | 0.504790i | \(0.831570\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.72680 | + | 6.80883i | −0.129848 | + | 0.324230i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.7924 | − | 32.5493i | −0.892852 | − | 1.54646i | −0.836441 | − | 0.548057i | \(-0.815368\pi\) |
−0.0564112 | − | 0.998408i | \(-0.517966\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.839965 | − | 1.45486i | 0.0398182 | − | 0.0689671i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −9.16822 | + | 18.8707i | −0.433642 | + | 0.892552i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 15.5247 | 0.732658 | 0.366329 | − | 0.930485i | \(-0.380614\pi\) | ||||
0.366329 | + | 0.930485i | \(0.380614\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.817708 | 0.0385044 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.0443 | + | 19.2755i | 0.612876 | + | 0.905642i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.21783 | + | 2.10935i | −0.0570929 | + | 0.0988877i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.9907 | − | 29.4287i | −0.794791 | − | 1.37662i | −0.922972 | − | 0.384868i | \(-0.874247\pi\) |
0.128181 | − | 0.991751i | \(-0.459086\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 23.9073 | − | 5.19615i | 1.11590 | − | 0.242536i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.5502 | + | 18.2735i | 0.491371 | + | 0.851080i | 0.999951 | − | 0.00993538i | \(-0.00316258\pi\) |
−0.508580 | + | 0.861015i | \(0.669829\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.62933 | + | 8.01824i | −0.215143 | + | 0.372639i | −0.953317 | − | 0.301972i | \(-0.902355\pi\) |
0.738174 | + | 0.674611i | \(0.235689\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.66077 | − | 2.45411i | −0.0770164 | − | 0.113807i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 32.8904 | 1.52199 | 0.760993 | − | 0.648761i | \(-0.224712\pi\) | ||||
0.760993 | + | 0.648761i | \(0.224712\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.0396161 | 0.00182930 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.5819 | + | 34.1300i | −0.764054 | + | 1.57263i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.0882 | + | 36.5259i | −0.969639 | + | 1.67946i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.664393 | − | 1.15076i | −0.0304845 | − | 0.0528006i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −37.9906 | + | 5.45752i | −1.73947 | + | 0.249883i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.33678 | − | 14.4397i | −0.380917 | − | 0.659768i | 0.610276 | − | 0.792189i | \(-0.291058\pi\) |
−0.991194 | + | 0.132421i | \(0.957725\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.21693 | + | 5.57188i | −0.146679 | + | 0.254056i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −5.69839 | + | 0.407209i | −0.259286 | + | 0.0185286i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.2481 | −0.646972 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.0258 | 0.771513 | 0.385757 | − | 0.922601i | \(-0.373940\pi\) | ||||
0.385757 | + | 0.922601i | \(0.373940\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −13.6701 | + | 0.976870i | −0.618183 | + | 0.0441756i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.1292 | + | 33.1328i | −0.863290 | + | 1.49526i | 0.00544576 | + | 0.999985i | \(0.498267\pi\) |
−0.868735 | + | 0.495276i | \(0.835067\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.7141 | − | 35.8778i | −0.932914 | − | 1.61586i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 11.7043 | − | 1.68137i | 0.526069 | − | 0.0755720i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.5094 | − | 25.1310i | −0.650836 | − | 1.12728i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.77992 | − | 8.27906i | 0.213978 | − | 0.370622i | −0.738978 | − | 0.673730i | \(-0.764691\pi\) |
0.952956 | + | 0.303108i | \(0.0980244\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.47268 | + | 3.03116i | −0.0657943 | + | 0.135422i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.7155 | −0.522370 | −0.261185 | − | 0.965289i | \(-0.584113\pi\) | ||||
−0.261185 | + | 0.965289i | \(0.584113\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.15139 | −0.0957357 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.0099 | + | 17.7469i | 0.533378 | + | 0.788168i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 17.0776 | − | 29.5793i | 0.756953 | − | 1.31108i | −0.187445 | − | 0.982275i | \(-0.560021\pi\) |
0.944398 | − | 0.328806i | \(-0.106646\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.9734 | − | 19.0065i | −0.485434 | − | 0.840796i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 6.74705 | − | 1.46644i | 0.297890 | − | 0.0647451i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.51572 | + | 13.0176i | 0.331182 | + | 0.573624i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.2202 | + | 31.5584i | −0.801325 | + | 1.38794i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.89128 | − | 5.75012i | −0.170808 | − | 0.252402i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.5007 | 0.635288 | 0.317644 | − | 0.948210i | \(-0.397108\pi\) | ||||
0.317644 | + | 0.948210i | \(0.397108\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.4900 | 0.502424 | 0.251212 | − | 0.967932i | \(-0.419171\pi\) | ||||
0.251212 | + | 0.967932i | \(0.419171\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.32616 | + | 4.78785i | −0.101522 | + | 0.208959i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.02762 | + | 6.97604i | −0.175446 | + | 0.303881i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.9241 | + | 18.9210i | 0.474960 | + | 0.822654i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.3229 | − | 33.2673i | 0.578165 | − | 1.44368i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.0822108 | − | 0.142393i | −0.00356094 | − | 0.00616774i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.958297 | − | 1.65982i | 0.0414308 | − | 0.0717602i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.82175 | + | 0.701866i | −0.423840 | + | 0.0302877i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.63632 | 0.415066 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 38.1707 | 1.64109 | 0.820543 | − | 0.571585i | \(-0.193671\pi\) | ||||
0.820543 | + | 0.571585i | \(0.193671\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.79046 | − | 0.628170i | 0.377235 | − | 0.0269573i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.41363 | − | 4.18053i | 0.103388 | − | 0.179074i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.5359 | − | 23.4449i | −0.578754 | − | 1.00243i | −0.995623 | − | 0.0934646i | \(-0.970206\pi\) |
0.416869 | − | 0.908967i | \(-0.363128\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.7619 | + | 18.7760i | 0.630024 | + | 0.801341i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.84587 | − | 10.1253i | −0.249042 | − | 0.431354i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.0767 | − | 19.1854i | 0.471029 | − | 0.815847i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6.14459 | + | 12.6472i | −0.260823 | + | 0.536844i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 20.3337 | 0.861568 | 0.430784 | − | 0.902455i | \(-0.358237\pi\) | ||||
0.430784 | + | 0.902455i | \(0.358237\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.48069 | 0.358695 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −18.0150 | − | 26.6206i | −0.760594 | − | 1.12392i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.0968695 | − | 0.167783i | 0.00408256 | − | 0.00707121i | −0.863977 | − | 0.503531i | \(-0.832034\pi\) |
0.868059 | + | 0.496460i | \(0.165367\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.48291 | − | 11.2287i | −0.272738 | − | 0.472396i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −20.0133 | − | 19.0919i | −0.840479 | − | 0.801785i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.59136 | + | 14.8807i | 0.360168 | + | 0.623830i | 0.987988 | − | 0.154529i | \(-0.0493859\pi\) |
−0.627820 | + | 0.778359i | \(0.716053\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.8366 | − | 22.2336i | 0.537195 | − | 0.930449i | −0.461859 | − | 0.886953i | \(-0.652817\pi\) |
0.999054 | − | 0.0434953i | \(-0.0138494\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.99168 | + | 14.7646i | 0.417409 | + | 0.616801i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.07325 | −0.0447575 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.3942 | −0.724132 | −0.362066 | − | 0.932153i | \(-0.617928\pi\) | ||||
−0.362066 | + | 0.932153i | \(0.617928\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 18.5665 | − | 38.2149i | 0.771599 | − | 1.58816i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.5259 | − | 30.3558i | 0.727099 | − | 1.25937i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.2128 | + | 43.6698i | 1.04421 | + | 1.80862i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.46952 | − | 1.86911i | −0.0607570 | − | 0.0772781i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −6.75930 | − | 11.7074i | −0.278986 | − | 0.483218i | 0.692147 | − | 0.721757i | \(-0.256665\pi\) |
−0.971133 | + | 0.238539i | \(0.923332\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.13666 | + | 1.96876i | −0.0468354 | + | 0.0811213i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −30.9463 | + | 2.21143i | −1.27296 | + | 0.0909662i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −37.8636 | −1.55487 | −0.777437 | − | 0.628961i | \(-0.783480\pi\) | ||||
−0.777437 | + | 0.628961i | \(0.783480\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.4700 | 0.593213 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17.4755 | − | 1.24881i | 0.715226 | − | 0.0511103i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −22.1071 | + | 38.2907i | −0.903273 | + | 1.56451i | −0.0800542 | + | 0.996791i | \(0.525509\pi\) |
−0.823219 | + | 0.567724i | \(0.807824\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.3066 | + | 31.7080i | 0.746742 | + | 1.29340i | 0.949376 | + | 0.314141i | \(0.101717\pi\) |
−0.202634 | + | 0.979255i | \(0.564950\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.0143772 | + | 0.0359000i | −0.000585487 | + | 0.00146196i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.26764 | − | 3.92766i | −0.0921925 | − | 0.159682i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.31634 | − | 4.01202i | 0.0940174 | − | 0.162843i | −0.815181 | − | 0.579207i | \(-0.803362\pi\) |
0.909198 | + | 0.416364i | \(0.136696\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.4674 | + | 42.1274i | −0.829380 | + | 1.70709i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.32731 | 0.296431 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 43.3957 | 1.75273 | 0.876367 | − | 0.481644i | \(-0.159960\pi\) | ||||
0.876367 | + | 0.481644i | \(0.159960\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.201392 | − | 0.297595i | −0.00812091 | − | 0.0120002i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.5390 | − | 18.2540i | 0.424283 | − | 0.734879i | −0.572070 | − | 0.820205i | \(-0.693860\pi\) |
0.996353 | + | 0.0853252i | \(0.0271929\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −19.2694 | − | 33.3755i | −0.774502 | − | 1.34148i | −0.935074 | − | 0.354452i | \(-0.884667\pi\) |
0.160572 | − | 0.987024i | \(-0.448666\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.69901 | − | 5.31164i | 0.0681791 | − | 0.213149i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.58142 | + | 4.47115i | 0.103422 | + | 0.179133i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.08414 | − | 7.51280i | −0.203041 | − | 0.300032i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 38.2228 | 1.52404 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6062 | 0.700891 | 0.350446 | − | 0.936583i | \(-0.386030\pi\) | ||||
0.350446 | + | 0.936583i | \(0.386030\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.39463 | + | 9.04532i | −0.174671 | + | 0.359519i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.0400628 | + | 0.0693908i | −0.00158984 | + | 0.00275369i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.968818 | − | 1.67804i | −0.0383859 | − | 0.0664864i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 28.0394 | − | 4.02797i | 1.10922 | − | 0.159344i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 24.6556 | + | 42.7047i | 0.973836 | + | 1.68673i | 0.683722 | + | 0.729742i | \(0.260360\pi\) |
0.290114 | + | 0.956992i | \(0.406307\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.7262 | − | 34.1668i | 0.777926 | − | 1.34741i | −0.155209 | − | 0.987882i | \(-0.549605\pi\) |
0.933135 | − | 0.359526i | \(-0.117061\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 18.4870 | − | 1.32108i | 0.727923 | − | 0.0520177i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.4491 | −1.07914 | −0.539568 | − | 0.841942i | \(-0.681412\pi\) | ||||
−0.539568 | + | 0.841942i | \(0.681412\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −47.0822 | −1.84814 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.08362 | − | 0.649119i | 0.356015 | − | 0.0254410i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.35165 | + | 16.1975i | −0.365958 | + | 0.633858i | −0.988929 | − | 0.148387i | \(-0.952592\pi\) |
0.622971 | + | 0.782245i | \(0.285925\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.3126 | − | 17.8620i | −0.402947 | − | 0.697925i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.2060 | − | 3.04633i | 0.827325 | − | 0.118849i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.00345 | + | 3.47008i | 0.0780435 | + | 0.135175i | 0.902406 | − | 0.430887i | \(-0.141799\pi\) |
−0.824362 | + | 0.566063i | \(0.808466\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.56654 | − | 14.8377i | 0.333200 | − | 0.577119i | −0.649938 | − | 0.759988i | \(-0.725205\pi\) |
0.983137 | + | 0.182869i | \(0.0585383\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.82444 | + | 5.81346i | −0.109692 | + | 0.225776i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.08369 | 0.158359 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.44329 | −0.365646 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.88873 | + | 11.6571i | 0.304996 | + | 0.450690i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15.6898 | − | 27.1756i | 0.605699 | − | 1.04910i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.1171 | − | 41.7720i | −0.929646 | − | 1.61019i | −0.783914 | − | 0.620870i | \(-0.786779\pi\) |
−0.145732 | − | 0.989324i | \(-0.546554\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.49455 | − | 3.84554i | −0.134505 | − | 0.148015i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −13.2099 | − | 22.8803i | −0.507699 | − | 0.879361i | −0.999960 | − | 0.00891350i | \(-0.997163\pi\) |
0.492261 | − | 0.870448i | \(-0.336171\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.8939 | − | 37.9214i | 0.840212 | − | 1.45529i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.9776 | − | 19.1769i | −0.497303 | − | 0.734861i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 22.7063 | 0.868832 | 0.434416 | − | 0.900712i | \(-0.356955\pi\) | ||||
0.434416 | + | 0.900712i | \(0.356955\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.81573 | 0.0693754 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.6392 | − | 38.3646i | 0.711131 | − | 1.46370i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.06968 | − | 8.78095i | 0.193140 | − | 0.334528i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.4050 | + | 42.2707i | 0.928411 | + | 1.60805i | 0.785982 | + | 0.618249i | \(0.212158\pi\) |
0.142429 | + | 0.989805i | \(0.454509\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −13.5101 | + | 33.7347i | −0.513206 | + | 1.28148i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.46129 | + | 2.53103i | 0.0554299 | + | 0.0960073i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.488405 | + | 0.845943i | −0.0184997 | + | 0.0320424i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −36.8387 | + | 2.63251i | −1.39337 | + | 0.0995706i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 52.3028 | 1.97545 | 0.987724 | − | 0.156208i | \(-0.0499271\pi\) | ||||
0.987724 | + | 0.156208i | \(0.0499271\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.7871 | 0.406845 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 15.9727 | − | 1.14142i | 0.601568 | − | 0.0429883i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.30588 | − | 5.72595i | 0.124330 | − | 0.215347i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −23.0672 | − | 39.9535i | −0.866307 | − | 1.50049i | −0.865744 | − | 0.500487i | \(-0.833154\pi\) |
−0.000562604 | − | 1.00000i | \(-0.500179\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 13.3659 | + | 17.0003i | 0.501259 | + | 0.637562i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.918072 | + | 1.59015i | 0.0343821 | + | 0.0595515i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.56189 | + | 2.70527i | −0.0584112 | + | 0.101171i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.02406 | + | 2.10778i | −0.0382440 | + | 0.0787165i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 21.8099 | 0.813371 | 0.406685 | − | 0.913568i | \(-0.366685\pi\) | ||||
0.406685 | + | 0.913568i | \(0.366685\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −46.1953 | −1.72040 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 13.4759 | + | 19.9133i | 0.501176 | + | 0.740584i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.39940 | + | 7.61999i | −0.163390 | + | 0.282999i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.596047 | − | 1.03238i | −0.0221061 | − | 0.0382890i | 0.854761 | − | 0.519022i | \(-0.173704\pi\) |
−0.876867 | + | 0.480733i | \(0.840371\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.5641 | − | 11.2073i | 0.909783 | − | 0.415083i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −25.1914 | − | 43.6328i | −0.931738 | − | 1.61382i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.8883 | − | 22.3231i | 0.476039 | − | 0.824523i | −0.523585 | − | 0.851974i | \(-0.675406\pi\) |
0.999623 | + | 0.0274508i | \(0.00873895\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.37331 | − | 3.50703i | −0.0875410 | − | 0.129359i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.0508081 | 0.00187154 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −45.7839 | −1.68419 | −0.842094 | − | 0.539331i | \(-0.818677\pi\) | ||||
−0.842094 | + | 0.539331i | \(0.818677\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.797107 | + | 1.64066i | −0.0292824 | + | 0.0602712i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.0670 | − | 19.1686i | 0.406009 | − | 0.703228i | −0.588430 | − | 0.808549i | \(-0.700254\pi\) |
0.994438 | + | 0.105321i | \(0.0335869\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.05639 | − | 10.4900i | −0.221889 | − | 0.384323i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 21.1479 | + | 26.8985i | 0.773763 | + | 0.984166i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.94508 | + | 5.10103i | 0.107611 | + | 0.186388i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.62749 | + | 13.2112i | −0.278331 | + | 0.482084i | −0.970970 | − | 0.239201i | \(-0.923115\pi\) |
0.692639 | + | 0.721284i | \(0.256448\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 14.6599 | − | 1.04760i | 0.534236 | − | 0.0381767i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −13.4375 | −0.489041 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.3178 | −1.02923 | −0.514614 | − | 0.857422i | \(-0.672065\pi\) | ||||
−0.514614 | + | 0.857422i | \(0.672065\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.30826 | + | 0.522251i | −0.265273 | + | 0.0189565i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.79106 | − | 16.9586i | 0.354925 | − | 0.614749i | −0.632180 | − | 0.774822i | \(-0.717840\pi\) |
0.987105 | + | 0.160073i | \(0.0511729\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.41768 | + | 12.8478i | 0.268538 | + | 0.465121i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.25138 | + | 13.1127i | −0.189864 | + | 0.474090i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.73355 | + | 8.19875i | 0.170919 | + | 0.296040i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.0853 | − | 20.9324i | 0.435809 | − | 0.754843i | −0.561553 | − | 0.827441i | \(-0.689796\pi\) |
0.997361 | + | 0.0725983i | \(0.0231291\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 15.5567 | − | 32.0200i | 0.560262 | − | 1.15317i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 33.7841 | 1.21513 | 0.607565 | − | 0.794270i | \(-0.292147\pi\) | ||||
0.607565 | + | 0.794270i | \(0.292147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.71083 | 0.0614548 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −24.2188 | − | 35.7879i | −0.868843 | − | 1.28388i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.137836 | + | 0.238740i | −0.00493850 | + | 0.00855374i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.6085 | − | 32.2309i | −0.665865 | − | 1.15331i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −30.7478 | − | 33.8361i | −1.09884 | − | 1.20920i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.9538 | − | 18.9725i | −0.390956 | − | 0.677156i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.92949 | − | 3.34198i | 0.0687791 | − | 0.119129i | −0.829585 | − | 0.558380i | \(-0.811423\pi\) |
0.898364 | + | 0.439252i | \(0.144756\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −17.2796 | − | 25.5339i | −0.615170 | − | 0.909031i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 39.8472 | 1.41680 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.30970 | −0.224064 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.68349 | − | 19.9312i | 0.343438 | − | 0.706888i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.0297864 | + | 0.0515916i | −0.00105509 | + | 0.00182747i | −0.866552 | − | 0.499086i | \(-0.833669\pi\) |
0.865497 | + | 0.500913i | \(0.167003\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.7654 | − | 37.6988i | −0.770004 | − | 1.33369i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −4.98858 | + | 0.716631i | −0.176263 | + | 0.0253209i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.0735 | − | 24.3760i | −0.496644 | − | 0.860212i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.64918 | − | 2.85646i | 0.0581259 | − | 0.100677i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.27071 | + | 0.376647i | −0.185538 | + | 0.0132586i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −20.1327 | −0.707828 | −0.353914 | − | 0.935278i | \(-0.615150\pi\) | ||||
−0.353914 | + | 0.935278i | \(0.615150\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.24301 | −0.254337 | −0.127168 | − | 0.991881i | \(-0.540589\pi\) | ||||
−0.127168 | + | 0.991881i | \(0.540589\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 11.6624 | − | 0.833401i | 0.409019 | − | 0.0292286i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.95628 | − | 6.85248i | 0.138582 | − | 0.240032i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.10945 | − | 12.3139i | −0.248728 | − | 0.430810i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.23275 | − | 1.03902i | 0.252733 | − | 0.0363061i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −20.1910 | − | 34.9718i | −0.704670 | − | 1.22052i | −0.966811 | − | 0.255494i | \(-0.917762\pi\) |
0.262141 | − | 0.965030i | \(-0.415571\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.32199 | − | 10.9500i | 0.220371 | − | 0.381693i | −0.734550 | − | 0.678555i | \(-0.762607\pi\) |
0.954921 | + | 0.296861i | \(0.0959400\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.98333 | + | 6.14049i | −0.103866 | + | 0.213784i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 11.7305 | 0.407910 | 0.203955 | − | 0.978980i | \(-0.434620\pi\) | ||||
0.203955 | + | 0.978980i | \(0.434620\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 23.9910 | 0.833242 | 0.416621 | − | 0.909080i | \(-0.363214\pi\) | ||||
0.416621 | + | 0.909080i | \(0.363214\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.01022 | − | 4.44817i | −0.104423 | − | 0.154305i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.75564 | + | 9.96906i | −0.199421 | + | 0.345407i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.972828 | − | 1.68499i | −0.0336661 | − | 0.0583114i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.70835 | + | 8.46712i | −0.0936141 | + | 0.292667i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −21.7069 | − | 37.5974i | −0.749404 | − | 1.29801i | −0.948109 | − | 0.317947i | \(-0.897007\pi\) |
0.198704 | − | 0.980059i | \(-0.436327\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.2095 | + | 41.9321i | −0.834810 | + | 1.44593i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −8.32175 | − | 12.2970i | −0.286616 | − | 0.423531i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −12.3719 | −0.425606 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.9380 | 0.478916 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −15.4204 | + | 31.7393i | −0.529227 | + | 1.08929i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 4.35633 | − | 7.54539i | 0.149333 | − | 0.258653i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.6124 | − | 21.8453i | −0.431839 | − | 0.747967i | 0.565193 | − | 0.824959i | \(-0.308802\pi\) |
−0.997032 | + | 0.0769917i | \(0.975469\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.48203 | + | 3.70063i | −0.0506843 | + | 0.126559i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 11.8982 | + | 20.6083i | 0.406435 | + | 0.703965i | 0.994487 | − | 0.104857i | \(-0.0334386\pi\) |
−0.588053 | + | 0.808823i | \(0.700105\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.8368 | + | 43.0186i | −0.847420 | + | 1.46777i | 0.0360829 | + | 0.999349i | \(0.488512\pi\) |
−0.883503 | + | 0.468426i | \(0.844821\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.10152 | − | 0.0787147i | 0.0375396 | − | 0.00268259i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 38.0981 | 1.29688 | 0.648438 | − | 0.761268i | \(-0.275423\pi\) | ||||
0.648438 | + | 0.761268i | \(0.275423\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.00857 | 0.136296 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.92994 | − | 0.638137i | 0.303277 | − | 0.0216723i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 14.2060 | − | 24.6055i | 0.481906 | − | 0.834686i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.00510815 | − | 0.00884758i | −0.000173083 | − | 0.000299789i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 26.4187 | + | 33.6025i | 0.894136 | + | 1.13727i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.53662 | − | 2.66151i | −0.0519474 | − | 0.0899755i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.34546 | + | 14.4548i | −0.281806 | + | 0.488103i | −0.971830 | − | 0.235684i | \(-0.924267\pi\) |
0.690023 | + | 0.723787i | \(0.257600\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 12.9854 | − | 26.7274i | 0.437986 | − | 0.901493i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 37.2975 | 1.25658 | 0.628292 | − | 0.777978i | \(-0.283754\pi\) | ||||
0.628292 | + | 0.777978i | \(0.283754\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −50.9964 | −1.71617 | −0.858083 | − | 0.513511i | \(-0.828345\pi\) | ||||
−0.858083 | + | 0.513511i | \(0.828345\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.5958 | + | 17.1350i | 0.389788 | + | 0.575987i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.1983 | − | 24.5922i | 0.476733 | − | 0.825726i | −0.522912 | − | 0.852387i | \(-0.675154\pi\) |
0.999645 | + | 0.0266613i | \(0.00848757\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.123123 | − | 0.213255i | −0.00412941 | − | 0.00715235i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −25.6673 | − | 24.4856i | −0.859887 | − | 0.820300i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.14257 | − | 10.6392i | −0.205553 | − | 0.356029i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.84252 | − | 4.92340i | 0.0950151 | − | 0.164571i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.825701 | + | 1.22013i | 0.0275694 | + | 0.0407390i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 15.0533 | 0.502054 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −60.2369 | −2.00678 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −24.8914 | + | 51.2332i | −0.828335 | + | 1.70494i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.54406 | + | 4.40644i | −0.0845674 | + | 0.146475i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.06162 | + | 10.4990i | 0.201273 | + | 0.348615i | 0.948939 | − | 0.315460i | \(-0.102159\pi\) |
−0.747666 | + | 0.664075i | \(0.768826\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.98909 | + | 5.07381i | 0.132310 | + | 0.168288i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.66557 | − | 11.5451i | −0.220840 | − | 0.382506i | 0.734223 | − | 0.678908i | \(-0.237547\pi\) |
−0.955063 | + | 0.296402i | \(0.904213\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 22.4773 | − | 38.9318i | 0.743889 | − | 1.28845i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −13.7545 | + | 0.982898i | −0.454708 | + | 0.0324936i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 63.3864 | 2.09320 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 41.0122 | 1.35287 | 0.676434 | − | 0.736503i | \(-0.263524\pi\) | ||||
0.676434 | + | 0.736503i | \(0.263524\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −60.3153 | + | 4.31015i | −1.98746 | + | 0.142024i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.74173 | + | 6.48087i | −0.123161 | + | 0.213320i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.05902 | − | 7.03043i | −0.133460 | − | 0.231159i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 16.7649 | − | 41.8621i | 0.550633 | − | 1.37493i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 9.91815 | + | 17.1787i | 0.325404 | + | 0.563616i | 0.981594 | − | 0.190980i | \(-0.0611664\pi\) |
−0.656190 | + | 0.754596i | \(0.727833\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.62434 | + | 2.81344i | −0.0532356 | + | 0.0922068i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.95865 | − | 16.3810i | 0.260555 | − | 0.536291i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 18.5580 | 0.606911 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.4809 | 0.865094 | 0.432547 | − | 0.901611i | \(-0.357615\pi\) | ||||
0.432547 | + | 0.901611i | \(0.357615\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 26.6341 | + | 39.3570i | 0.869171 | + | 1.28437i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.1482 | + | 24.5055i | −0.461219 | + | 0.798855i | −0.999022 | − | 0.0442156i | \(-0.985921\pi\) |
0.537803 | + | 0.843071i | \(0.319254\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.111329 | + | 0.192828i | 0.00362537 | + | 0.00627933i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 15.6047 | − | 3.39162i | 0.507622 | − | 0.110330i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 11.7550 | + | 20.3603i | 0.381988 | + | 0.661622i | 0.991346 | − | 0.131273i | \(-0.0419063\pi\) |
−0.609359 | + | 0.792895i | \(0.708573\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.82985 | + | 4.90144i | −0.0918608 | + | 0.159108i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 25.2805 | + | 37.3568i | 0.819776 | + | 1.21138i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 34.8684 | 1.12950 | 0.564749 | − | 0.825263i | \(-0.308973\pi\) | ||||
0.564749 | + | 0.825263i | \(0.308973\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.2928 | −0.333069 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −26.2497 | + | 54.0290i | −0.848532 | + | 1.74651i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.79009 | + | 4.83258i | −0.0900967 | + | 0.156052i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.0365 | + | 24.3120i | 0.452791 | + | 0.784258i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.69135 | + | 0.817588i | −0.183401 | + | 0.0263464i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.2648 | + | 21.2432i | 0.394817 | + | 0.683843i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.6356 | + | 30.5458i | −0.567123 | + | 0.982286i | 0.429725 | + | 0.902960i | \(0.358610\pi\) |
−0.996849 | + | 0.0793268i | \(0.974723\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 10.8089 | − | 0.772408i | 0.347232 | − | 0.0248133i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −59.4015 | −1.90629 | −0.953143 | − | 0.302520i | \(-0.902172\pi\) | ||||
−0.953143 | + | 0.302520i | \(0.902172\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.98181 | −0.287943 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.36922 | − | 0.0978453i | 0.0438503 | − | 0.00313356i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 6.79748 | − | 11.7736i | 0.217471 | − | 0.376670i | −0.736563 | − | 0.676369i | \(-0.763553\pi\) |
0.954034 | + | 0.299698i | \(0.0968860\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.31071 | + | 5.73431i | 0.105811 | + | 0.183269i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −14.3346 | + | 2.05923i | −0.457669 | + | 0.0657461i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 3.39921 | + | 5.88760i | 0.108418 | + | 0.187785i | 0.915130 | − | 0.403160i | \(-0.132088\pi\) |
−0.806712 | + | 0.590945i | \(0.798755\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.95621 | − | 15.5126i | 0.285369 | − | 0.494273i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −21.5062 | + | 44.2655i | −0.684550 | + | 1.40899i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −11.4845 | −0.365185 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −39.1401 | −1.24333 | −0.621663 | − | 0.783285i | \(-0.713543\pi\) | ||||
−0.621663 | + | 0.783285i | \(0.713543\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 27.3763 | + | 40.4537i | 0.868760 | + | 1.28376i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.05761 | + | 8.76005i | −0.160337 | + | 0.277712i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 16.4055 | + | 28.4151i | 0.519567 | + | 0.899916i | 0.999741 | + | 0.0227434i | \(0.00724006\pi\) |
−0.480174 | + | 0.877173i | \(0.659427\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 41.2202 | − | 8.95904i | 1.30415 | − | 0.283452i |
(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 | 1440.2.q.p.481.5 | yes | 10 | |
3.2 | odd | 2 | 4320.2.q.p.1441.1 | 10 | |||
4.3 | odd | 2 | 1440.2.q.o.481.1 | ✓ | 10 | ||
9.2 | odd | 6 | 4320.2.q.p.2881.1 | 10 | |||
9.7 | even | 3 | inner | 1440.2.q.p.961.5 | yes | 10 | |
12.11 | even | 2 | 4320.2.q.o.1441.5 | 10 | |||
36.7 | odd | 6 | 1440.2.q.o.961.1 | yes | 10 | ||
36.11 | even | 6 | 4320.2.q.o.2881.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1440.2.q.o.481.1 | ✓ | 10 | 4.3 | odd | 2 | ||
1440.2.q.o.961.1 | yes | 10 | 36.7 | odd | 6 | ||
1440.2.q.p.481.5 | yes | 10 | 1.1 | even | 1 | trivial | |
1440.2.q.p.961.5 | yes | 10 | 9.7 | even | 3 | inner | |
4320.2.q.o.1441.5 | 10 | 12.11 | even | 2 | |||
4320.2.q.o.2881.5 | 10 | 36.11 | even | 6 | |||
4320.2.q.p.1441.1 | 10 | 3.2 | odd | 2 | |||
4320.2.q.p.2881.1 | 10 | 9.2 | odd | 6 |