Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(149,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.j (of order \(6\), degree \(2\), not 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 149.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.149 |
Dual form | 350.2.j.c.249.2 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.59808 | − | 0.500000i | 0.981981 | − | 0.188982i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.50000 | + | 2.59808i | −0.500000 | + | 0.866025i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | + | 1.73205i | 0.301511 | + | 0.522233i | 0.976478 | − | 0.215615i | \(-0.0691756\pi\) |
−0.674967 | + | 0.737848i | \(0.735842\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(14\) | 2.50000 | + | 0.866025i | 0.668153 | + | 0.231455i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 6.06218 | − | 3.50000i | 1.47029 | − | 0.848875i | 0.470850 | − | 0.882213i | \(-0.343947\pi\) |
0.999444 | + | 0.0333386i | \(0.0106140\pi\) | |||||||
\(18\) | −2.59808 | + | 1.50000i | −0.612372 | + | 0.353553i | ||||
\(19\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.00000i | 0.426401i | ||||||||
\(23\) | −2.59808 | − | 1.50000i | −0.541736 | − | 0.312772i | 0.204046 | − | 0.978961i | \(-0.434591\pi\) |
−0.745782 | + | 0.666190i | \(0.767924\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.73205 | + | 2.00000i | 0.327327 | + | 0.377964i | ||||
\(29\) | −6.00000 | −1.11417 | −0.557086 | − | 0.830455i | \(-0.688081\pi\) | ||||
−0.557086 | + | 0.830455i | \(0.688081\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.50000 | + | 6.06218i | 0.628619 | + | 1.08880i | 0.987829 | + | 0.155543i | \(0.0497126\pi\) |
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.00000 | 1.20049 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.00000 | −0.500000 | ||||||||
\(37\) | −3.46410 | − | 2.00000i | −0.569495 | − | 0.328798i | 0.187453 | − | 0.982274i | \(-0.439977\pi\) |
−0.756948 | + | 0.653476i | \(0.773310\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.00000 | −1.09322 | −0.546608 | − | 0.837389i | \(-0.684081\pi\) | ||||
−0.546608 | + | 0.837389i | \(0.684081\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 8.00000i | − | 1.21999i | −0.792406 | − | 0.609994i | \(-0.791172\pi\) | ||
0.792406 | − | 0.609994i | \(-0.208828\pi\) | |||||||
\(44\) | −1.00000 | + | 1.73205i | −0.150756 | + | 0.261116i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.50000 | − | 2.59808i | −0.221163 | − | 0.383065i | ||||
\(47\) | −6.06218 | − | 3.50000i | −0.884260 | − | 0.510527i | −0.0121990 | − | 0.999926i | \(-0.503883\pi\) |
−0.872060 | + | 0.489398i | \(0.837217\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.50000 | − | 2.59808i | 0.928571 | − | 0.371154i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.46410 | − | 2.00000i | 0.475831 | − | 0.274721i | −0.242846 | − | 0.970065i | \(-0.578081\pi\) |
0.718677 | + | 0.695344i | \(0.244748\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.500000 | + | 2.59808i | 0.0668153 | + | 0.347183i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.19615 | − | 3.00000i | −0.682288 | − | 0.393919i | ||||
\(59\) | −7.00000 | − | 12.1244i | −0.911322 | − | 1.57846i | −0.812198 | − | 0.583382i | \(-0.801729\pi\) |
−0.0991242 | − | 0.995075i | \(-0.531604\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.00000 | − | 12.1244i | 0.896258 | − | 1.55236i | 0.0640184 | − | 0.997949i | \(-0.479608\pi\) |
0.832240 | − | 0.554416i | \(-0.187058\pi\) | |||||||
\(62\) | 7.00000i | 0.889001i | ||||||||
\(63\) | −2.59808 | + | 7.50000i | −0.327327 | + | 0.944911i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.3923 | + | 6.00000i | −1.26962 | + | 0.733017i | −0.974916 | − | 0.222571i | \(-0.928555\pi\) |
−0.294706 | + | 0.955588i | \(0.595222\pi\) | |||||||
\(68\) | 6.06218 | + | 3.50000i | 0.735147 | + | 0.424437i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.00000 | −0.118678 | −0.0593391 | − | 0.998238i | \(-0.518899\pi\) | ||||
−0.0593391 | + | 0.998238i | \(0.518899\pi\) | |||||||
\(72\) | −2.59808 | − | 1.50000i | −0.306186 | − | 0.176777i | ||||
\(73\) | 12.1244 | − | 7.00000i | 1.41905 | − | 0.819288i | 0.422833 | − | 0.906208i | \(-0.361036\pi\) |
0.996215 | + | 0.0869195i | \(0.0277023\pi\) | |||||||
\(74\) | −2.00000 | − | 3.46410i | −0.232495 | − | 0.402694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.46410 | + | 4.00000i | 0.394771 | + | 0.455842i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.50000 | + | 9.52628i | −0.618798 | + | 1.07179i | 0.370907 | + | 0.928670i | \(0.379047\pi\) |
−0.989705 | + | 0.143120i | \(0.954286\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(82\) | −6.06218 | − | 3.50000i | −0.669456 | − | 0.386510i | ||||
\(83\) | 14.0000i | 1.53670i | 0.640030 | + | 0.768350i | \(0.278922\pi\) | ||||
−0.640030 | + | 0.768350i | \(0.721078\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.00000 | − | 6.92820i | 0.431331 | − | 0.747087i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.73205 | + | 1.00000i | −0.184637 | + | 0.106600i | ||||
\(89\) | 3.50000 | − | 6.06218i | 0.370999 | − | 0.642590i | −0.618720 | − | 0.785611i | \(-0.712349\pi\) |
0.989720 | + | 0.143022i | \(0.0456819\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 3.00000i | − | 0.312772i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.50000 | − | 6.06218i | −0.360997 | − | 0.625266i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.00000i | 0.710742i | 0.934725 | + | 0.355371i | \(0.115646\pi\) | ||||
−0.934725 | + | 0.355371i | \(0.884354\pi\) | |||||||
\(98\) | 6.92820 | + | 1.00000i | 0.699854 | + | 0.101015i | ||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.06218 | − | 3.50000i | −0.597324 | − | 0.344865i | 0.170664 | − | 0.985329i | \(-0.445409\pi\) |
−0.767988 | + | 0.640464i | \(0.778742\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.00000 | 0.388514 | ||||||||
\(107\) | −5.19615 | − | 3.00000i | −0.502331 | − | 0.290021i | 0.227345 | − | 0.973814i | \(-0.426996\pi\) |
−0.729676 | + | 0.683793i | \(0.760329\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.00000 | + | 10.3923i | 0.574696 | + | 0.995402i | 0.996075 | + | 0.0885176i | \(0.0282129\pi\) |
−0.421379 | + | 0.906885i | \(0.638454\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.866025 | + | 2.50000i | −0.0818317 | + | 0.236228i | ||||
\(113\) | − | 1.00000i | − | 0.0940721i | −0.998893 | − | 0.0470360i | \(-0.985022\pi\) | ||
0.998893 | − | 0.0470360i | \(-0.0149776\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −3.00000 | − | 5.19615i | −0.278543 | − | 0.482451i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 14.0000i | − | 1.28880i | ||||||
\(119\) | 14.0000 | − | 12.1244i | 1.28338 | − | 1.11144i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | 12.1244 | − | 7.00000i | 1.09769 | − | 0.633750i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.50000 | + | 6.06218i | −0.314309 | + | 0.544400i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −6.00000 | + | 5.19615i | −0.534522 | + | 0.462910i | ||||
\(127\) | 8.00000i | 0.709885i | 0.934888 | + | 0.354943i | \(0.115500\pi\) | ||||
−0.934888 | + | 0.354943i | \(0.884500\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.00000 | + | 12.1244i | −0.611593 | + | 1.05931i | 0.379379 | + | 0.925241i | \(0.376138\pi\) |
−0.990972 | + | 0.134069i | \(0.957196\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.0000 | −1.03664 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.50000 | + | 6.06218i | 0.300123 | + | 0.519827i | ||||
\(137\) | 2.59808 | − | 1.50000i | 0.221969 | − | 0.128154i | −0.384893 | − | 0.922961i | \(-0.625762\pi\) |
0.606861 | + | 0.794808i | \(0.292428\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.0000 | 1.18746 | 0.593732 | − | 0.804663i | \(-0.297654\pi\) | ||||
0.593732 | + | 0.804663i | \(0.297654\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.866025 | − | 0.500000i | −0.0726752 | − | 0.0419591i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.50000 | − | 2.59808i | −0.125000 | − | 0.216506i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 14.0000 | 1.15865 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 4.00000i | − | 0.328798i | ||||||
\(149\) | −9.00000 | + | 15.5885i | −0.737309 | + | 1.27706i | 0.216394 | + | 0.976306i | \(0.430570\pi\) |
−0.953703 | + | 0.300750i | \(0.902763\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.00000 | + | 13.8564i | 0.651031 | + | 1.12762i | 0.982873 | + | 0.184284i | \(0.0589965\pi\) |
−0.331842 | + | 0.943335i | \(0.607670\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 21.0000i | 1.69775i | ||||||||
\(154\) | 1.00000 | + | 5.19615i | 0.0805823 | + | 0.418718i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.1244 | − | 7.00000i | 0.967629 | − | 0.558661i | 0.0691164 | − | 0.997609i | \(-0.477982\pi\) |
0.898513 | + | 0.438948i | \(0.144649\pi\) | |||||||
\(158\) | −9.52628 | + | 5.50000i | −0.757870 | + | 0.437557i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.50000 | − | 2.59808i | −0.591083 | − | 0.204757i | ||||
\(162\) | − | 9.00000i | − | 0.707107i | ||||||
\(163\) | −6.92820 | − | 4.00000i | −0.542659 | − | 0.313304i | 0.203497 | − | 0.979076i | \(-0.434769\pi\) |
−0.746156 | + | 0.665771i | \(0.768103\pi\) | |||||||
\(164\) | −3.50000 | − | 6.06218i | −0.273304 | − | 0.473377i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.00000 | + | 12.1244i | −0.543305 | + | 0.941033i | ||||
\(167\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.0000 | 1.00000 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.92820 | − | 4.00000i | 0.528271 | − | 0.304997i | ||||
\(173\) | −12.1244 | − | 7.00000i | −0.921798 | − | 0.532200i | −0.0375896 | − | 0.999293i | \(-0.511968\pi\) |
−0.884208 | + | 0.467093i | \(0.845301\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.00000 | −0.150756 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.06218 | − | 3.50000i | 0.454379 | − | 0.262336i | ||||
\(179\) | 9.00000 | + | 15.5885i | 0.672692 | + | 1.16514i | 0.977138 | + | 0.212607i | \(0.0681952\pi\) |
−0.304446 | + | 0.952529i | \(0.598471\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.0000 | −1.04061 | −0.520306 | − | 0.853980i | \(-0.674182\pi\) | ||||
−0.520306 | + | 0.853980i | \(0.674182\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.50000 | − | 2.59808i | 0.110581 | − | 0.191533i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.1244 | + | 7.00000i | 0.886621 | + | 0.511891i | ||||
\(188\) | − | 7.00000i | − | 0.510527i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.50000 | + | 12.9904i | −0.542681 | + | 0.939951i | 0.456068 | + | 0.889945i | \(0.349257\pi\) |
−0.998749 | + | 0.0500060i | \(0.984076\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.33013 | − | 2.50000i | 0.311689 | − | 0.179954i | −0.335993 | − | 0.941865i | \(-0.609072\pi\) |
0.647682 | + | 0.761911i | \(0.275738\pi\) | |||||||
\(194\) | −3.50000 | + | 6.06218i | −0.251285 | + | 0.435239i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.50000 | + | 4.33013i | 0.392857 | + | 0.309295i | ||||
\(197\) | − | 20.0000i | − | 1.42494i | −0.701702 | − | 0.712470i | \(-0.747576\pi\) | ||
0.701702 | − | 0.712470i | \(-0.252424\pi\) | |||||||
\(198\) | −5.19615 | − | 3.00000i | −0.369274 | − | 0.213201i | ||||
\(199\) | −3.50000 | − | 6.06218i | −0.248108 | − | 0.429736i | 0.714893 | − | 0.699234i | \(-0.246476\pi\) |
−0.963001 | + | 0.269498i | \(0.913142\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −15.5885 | + | 3.00000i | −1.09410 | + | 0.210559i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.50000 | − | 6.06218i | −0.243857 | − | 0.422372i | ||||
\(207\) | 7.79423 | − | 4.50000i | 0.541736 | − | 0.312772i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.0000 | 1.10149 | 0.550743 | − | 0.834675i | \(-0.314345\pi\) | ||||
0.550743 | + | 0.834675i | \(0.314345\pi\) | |||||||
\(212\) | 3.46410 | + | 2.00000i | 0.237915 | + | 0.137361i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.00000 | − | 5.19615i | −0.205076 | − | 0.355202i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.1244 | + | 14.0000i | 0.823055 | + | 0.950382i | ||||
\(218\) | 12.0000i | 0.812743i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.00000i | 0.468755i | 0.972146 | + | 0.234377i | \(0.0753051\pi\) | ||||
−0.972146 | + | 0.234377i | \(0.924695\pi\) | |||||||
\(224\) | −2.00000 | + | 1.73205i | −0.133631 | + | 0.115728i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.500000 | − | 0.866025i | 0.0332595 | − | 0.0576072i | ||||
\(227\) | −12.1244 | + | 7.00000i | −0.804722 | + | 0.464606i | −0.845120 | − | 0.534577i | \(-0.820471\pi\) |
0.0403978 | + | 0.999184i | \(0.487137\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.00000 | + | 12.1244i | −0.462573 | + | 0.801200i | −0.999088 | − | 0.0426906i | \(-0.986407\pi\) |
0.536515 | + | 0.843891i | \(0.319740\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 6.00000i | − | 0.393919i | ||||||
\(233\) | 15.5885 | + | 9.00000i | 1.02123 | + | 0.589610i | 0.914461 | − | 0.404674i | \(-0.132615\pi\) |
0.106773 | + | 0.994283i | \(0.465948\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.00000 | − | 12.1244i | 0.455661 | − | 0.789228i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.1865 | − | 3.50000i | 1.17886 | − | 0.226871i | ||||
\(239\) | 5.00000 | 0.323423 | 0.161712 | − | 0.986838i | \(-0.448299\pi\) | ||||
0.161712 | + | 0.986838i | \(0.448299\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.00000 | + | 12.1244i | 0.450910 | + | 0.780998i | 0.998443 | − | 0.0557856i | \(-0.0177663\pi\) |
−0.547533 | + | 0.836784i | \(0.684433\pi\) | |||||||
\(242\) | 6.06218 | − | 3.50000i | 0.389692 | − | 0.224989i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −6.06218 | + | 3.50000i | −0.384949 | + | 0.222250i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | −7.79423 | + | 1.50000i | −0.490990 | + | 0.0944911i | ||||
\(253\) | − | 6.00000i | − | 0.377217i | ||||||
\(254\) | −4.00000 | + | 6.92820i | −0.250982 | + | 0.434714i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 12.1244 | + | 7.00000i | 0.756297 | + | 0.436648i | 0.827964 | − | 0.560781i | \(-0.189499\pi\) |
−0.0716680 | + | 0.997429i | \(0.522832\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.0000 | − | 3.46410i | −0.621370 | − | 0.215249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.00000 | − | 15.5885i | 0.557086 | − | 0.964901i | ||||
\(262\) | −12.1244 | + | 7.00000i | −0.749045 | + | 0.432461i | ||||
\(263\) | 4.33013 | − | 2.50000i | 0.267007 | − | 0.154157i | −0.360520 | − | 0.932752i | \(-0.617401\pi\) |
0.627527 | + | 0.778595i | \(0.284067\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.3923 | − | 6.00000i | −0.634811 | − | 0.366508i | ||||
\(269\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.5000 | − | 18.1865i | 0.637830 | − | 1.10475i | −0.348079 | − | 0.937465i | \(-0.613166\pi\) |
0.985908 | − | 0.167288i | \(-0.0535009\pi\) | |||||||
\(272\) | 7.00000i | 0.424437i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.00000 | 0.181237 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.5885 | + | 9.00000i | −0.936620 | + | 0.540758i | −0.888899 | − | 0.458103i | \(-0.848529\pi\) |
−0.0477206 | + | 0.998861i | \(0.515196\pi\) | |||||||
\(278\) | 12.1244 | + | 7.00000i | 0.727171 | + | 0.419832i | ||||
\(279\) | −21.0000 | −1.25724 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.00000 | −0.0596550 | −0.0298275 | − | 0.999555i | \(-0.509496\pi\) | ||||
−0.0298275 | + | 0.999555i | \(0.509496\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.1244 | − | 7.00000i | 0.720718 | − | 0.416107i | −0.0942988 | − | 0.995544i | \(-0.530061\pi\) |
0.815017 | + | 0.579437i | \(0.196728\pi\) | |||||||
\(284\) | −0.500000 | − | 0.866025i | −0.0296695 | − | 0.0513892i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −18.1865 | + | 3.50000i | −1.07352 | + | 0.206598i | ||||
\(288\) | − | 3.00000i | − | 0.176777i | ||||||
\(289\) | 16.0000 | − | 27.7128i | 0.941176 | − | 1.63017i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 12.1244 | + | 7.00000i | 0.709524 | + | 0.409644i | ||||
\(293\) | − | 14.0000i | − | 0.817889i | −0.912559 | − | 0.408944i | \(-0.865897\pi\) | ||
0.912559 | − | 0.408944i | \(-0.134103\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.00000 | − | 3.46410i | 0.116248 | − | 0.201347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.5885 | + | 9.00000i | −0.903015 | + | 0.521356i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.00000 | − | 20.7846i | −0.230556 | − | 1.19800i | ||||
\(302\) | 16.0000i | 0.920697i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −10.5000 | + | 18.1865i | −0.600245 | + | 1.03965i | ||||
\(307\) | − | 28.0000i | − | 1.59804i | −0.601302 | − | 0.799022i | \(-0.705351\pi\) | ||
0.601302 | − | 0.799022i | \(-0.294649\pi\) | |||||||
\(308\) | −1.73205 | + | 5.00000i | −0.0986928 | + | 0.284901i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.5000 | − | 18.1865i | −0.595400 | − | 1.03126i | −0.993490 | − | 0.113917i | \(-0.963660\pi\) |
0.398090 | − | 0.917346i | \(-0.369673\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.06218 | + | 3.50000i | 0.342655 | + | 0.197832i | 0.661445 | − | 0.749993i | \(-0.269943\pi\) |
−0.318791 | + | 0.947825i | \(0.603277\pi\) | |||||||
\(314\) | 14.0000 | 0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.0000 | −0.618798 | ||||||||
\(317\) | −27.7128 | − | 16.0000i | −1.55651 | − | 0.898650i | −0.997587 | − | 0.0694277i | \(-0.977883\pi\) |
−0.558920 | − | 0.829222i | \(-0.688784\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.00000 | − | 10.3923i | −0.335936 | − | 0.581857i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.19615 | − | 6.00000i | −0.289570 | − | 0.334367i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 4.50000 | − | 7.79423i | 0.250000 | − | 0.433013i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.00000 | − | 6.92820i | −0.221540 | − | 0.383718i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | − | 7.00000i | − | 0.386510i | ||||||
\(329\) | −17.5000 | − | 6.06218i | −0.964806 | − | 0.334219i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.00000 | + | 8.66025i | −0.274825 | + | 0.476011i | −0.970091 | − | 0.242742i | \(-0.921953\pi\) |
0.695266 | + | 0.718752i | \(0.255287\pi\) | |||||||
\(332\) | −12.1244 | + | 7.00000i | −0.665410 | + | 0.384175i | ||||
\(333\) | 10.3923 | − | 6.00000i | 0.569495 | − | 0.328798i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.00000i | 0.272367i | 0.990684 | + | 0.136184i | \(0.0434837\pi\) | ||||
−0.990684 | + | 0.136184i | \(0.956516\pi\) | |||||||
\(338\) | 11.2583 | + | 6.50000i | 0.612372 | + | 0.353553i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.00000 | + | 12.1244i | −0.379071 | + | 0.656571i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | 8.00000 | 0.431331 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.00000 | − | 12.1244i | −0.376322 | − | 0.651809i | ||||
\(347\) | 1.73205 | − | 1.00000i | 0.0929814 | − | 0.0536828i | −0.452788 | − | 0.891618i | \(-0.649571\pi\) |
0.545770 | + | 0.837935i | \(0.316237\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.0000 | −1.49881 | −0.749403 | − | 0.662114i | \(-0.769659\pi\) | ||||
−0.749403 | + | 0.662114i | \(0.769659\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.73205 | − | 1.00000i | −0.0923186 | − | 0.0533002i | ||||
\(353\) | −18.1865 | + | 10.5000i | −0.967972 | + | 0.558859i | −0.898617 | − | 0.438733i | \(-0.855427\pi\) |
−0.0693543 | + | 0.997592i | \(0.522094\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 7.00000 | 0.370999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.0000i | 0.951330i | ||||||||
\(359\) | −2.00000 | + | 3.46410i | −0.105556 | + | 0.182828i | −0.913965 | − | 0.405793i | \(-0.866996\pi\) |
0.808409 | + | 0.588621i | \(0.200329\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.50000 | + | 16.4545i | 0.500000 | + | 0.866025i | ||||
\(362\) | −12.1244 | − | 7.00000i | −0.637242 | − | 0.367912i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.2487 | + | 14.0000i | −1.26577 | + | 0.730794i | −0.974185 | − | 0.225750i | \(-0.927517\pi\) |
−0.291587 | + | 0.956544i | \(0.594183\pi\) | |||||||
\(368\) | 2.59808 | − | 1.50000i | 0.135434 | − | 0.0781929i | ||||
\(369\) | 10.5000 | − | 18.1865i | 0.546608 | − | 0.946753i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.00000 | − | 6.92820i | 0.415339 | − | 0.359694i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.46410 | + | 2.00000i | 0.179364 | + | 0.103556i | 0.586994 | − | 0.809591i | \(-0.300311\pi\) |
−0.407630 | + | 0.913147i | \(0.633645\pi\) | |||||||
\(374\) | 7.00000 | + | 12.1244i | 0.361961 | + | 0.626936i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.50000 | − | 6.06218i | 0.180499 | − | 0.312633i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.00000 | −0.308199 | −0.154100 | − | 0.988055i | \(-0.549248\pi\) | ||||
−0.154100 | + | 0.988055i | \(0.549248\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.9904 | + | 7.50000i | −0.664646 | + | 0.383733i | ||||
\(383\) | −18.1865 | − | 10.5000i | −0.929288 | − | 0.536525i | −0.0427020 | − | 0.999088i | \(-0.513597\pi\) |
−0.886586 | + | 0.462563i | \(0.846930\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 5.00000 | 0.254493 | ||||||||
\(387\) | 20.7846 | + | 12.0000i | 1.05654 | + | 0.609994i | ||||
\(388\) | −6.06218 | + | 3.50000i | −0.307760 | + | 0.177686i | ||||
\(389\) | −8.00000 | − | 13.8564i | −0.405616 | − | 0.702548i | 0.588777 | − | 0.808296i | \(-0.299610\pi\) |
−0.994393 | + | 0.105748i | \(0.966276\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.0000 | −1.06202 | ||||||||
\(392\) | 2.59808 | + | 6.50000i | 0.131223 | + | 0.328300i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.0000 | − | 17.3205i | 0.503793 | − | 0.872595i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.00000 | − | 5.19615i | −0.150756 | − | 0.261116i | ||||
\(397\) | −12.1244 | − | 7.00000i | −0.608504 | − | 0.351320i | 0.163876 | − | 0.986481i | \(-0.447600\pi\) |
−0.772380 | + | 0.635161i | \(0.780934\pi\) | |||||||
\(398\) | − | 7.00000i | − | 0.350878i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.00000 | + | 8.66025i | −0.249688 | + | 0.432472i | −0.963439 | − | 0.267927i | \(-0.913661\pi\) |
0.713751 | + | 0.700399i | \(0.246995\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −15.0000 | − | 5.19615i | −0.744438 | − | 0.257881i | ||||
\(407\) | − | 8.00000i | − | 0.396545i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.5000 | + | 18.1865i | 0.519192 | + | 0.899266i | 0.999751 | + | 0.0223042i | \(0.00710022\pi\) |
−0.480560 | + | 0.876962i | \(0.659566\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 7.00000i | − | 0.344865i | ||||||
\(413\) | −24.2487 | − | 28.0000i | −1.19320 | − | 1.37779i | ||||
\(414\) | 9.00000 | 0.442326 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.0000 | 0.974740 | 0.487370 | − | 0.873195i | \(-0.337956\pi\) | ||||
0.487370 | + | 0.873195i | \(0.337956\pi\) | |||||||
\(422\) | 13.8564 | + | 8.00000i | 0.674519 | + | 0.389434i | ||||
\(423\) | 18.1865 | − | 10.5000i | 0.884260 | − | 0.510527i | ||||
\(424\) | 2.00000 | + | 3.46410i | 0.0971286 | + | 0.168232i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.1244 | − | 35.0000i | 0.586739 | − | 1.69377i | ||||
\(428\) | − | 6.00000i | − | 0.290021i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.50000 | + | 2.59808i | 0.0722525 | + | 0.125145i | 0.899888 | − | 0.436121i | \(-0.143648\pi\) |
−0.827636 | + | 0.561266i | \(0.810315\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 7.00000i | − | 0.336399i | −0.985753 | − | 0.168199i | \(-0.946205\pi\) | ||
0.985753 | − | 0.168199i | \(-0.0537952\pi\) | |||||||
\(434\) | 3.50000 | + | 18.1865i | 0.168005 | + | 0.872982i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.00000 | + | 10.3923i | −0.287348 | + | 0.497701i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.50000 | − | 6.06218i | 0.167046 | − | 0.289332i | −0.770334 | − | 0.637641i | \(-0.779911\pi\) |
0.937380 | + | 0.348309i | \(0.113244\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.00000 | + | 20.7846i | −0.142857 | + | 0.989743i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 17.3205 | + | 10.0000i | 0.822922 | + | 0.475114i | 0.851423 | − | 0.524479i | \(-0.175740\pi\) |
−0.0285009 | + | 0.999594i | \(0.509073\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.50000 | + | 6.06218i | −0.165730 | + | 0.287052i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.59808 | + | 0.500000i | −0.122748 | + | 0.0236228i | ||||
\(449\) | 15.0000 | 0.707894 | 0.353947 | − | 0.935266i | \(-0.384839\pi\) | ||||
0.353947 | + | 0.935266i | \(0.384839\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.00000 | − | 12.1244i | −0.329617 | − | 0.570914i | ||||
\(452\) | 0.866025 | − | 0.500000i | 0.0407344 | − | 0.0235180i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.0000 | −0.657053 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.66025 | + | 5.00000i | 0.405110 | + | 0.233890i | 0.688686 | − | 0.725059i | \(-0.258188\pi\) |
−0.283577 | + | 0.958950i | \(0.591521\pi\) | |||||||
\(458\) | −12.1244 | + | 7.00000i | −0.566534 | + | 0.327089i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.0000 | 1.30409 | 0.652045 | − | 0.758180i | \(-0.273911\pi\) | ||||
0.652045 | + | 0.758180i | \(0.273911\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 23.0000i | 1.06890i | 0.845200 | + | 0.534450i | \(0.179481\pi\) | ||||
−0.845200 | + | 0.534450i | \(0.820519\pi\) | |||||||
\(464\) | 3.00000 | − | 5.19615i | 0.139272 | − | 0.241225i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.00000 | + | 15.5885i | 0.416917 | + | 0.722121i | ||||
\(467\) | 12.1244 | + | 7.00000i | 0.561048 | + | 0.323921i | 0.753566 | − | 0.657372i | \(-0.228332\pi\) |
−0.192518 | + | 0.981293i | \(0.561665\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −24.0000 | + | 20.7846i | −1.10822 | + | 0.959744i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.1244 | − | 7.00000i | 0.558069 | − | 0.322201i | ||||
\(473\) | 13.8564 | − | 8.00000i | 0.637118 | − | 0.367840i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 17.5000 | + | 6.06218i | 0.802111 | + | 0.277859i | ||||
\(477\) | 12.0000i | 0.549442i | ||||||||
\(478\) | 4.33013 | + | 2.50000i | 0.198055 | + | 0.114347i | ||||
\(479\) | 10.5000 | + | 18.1865i | 0.479757 | + | 0.830964i | 0.999730 | − | 0.0232187i | \(-0.00739140\pi\) |
−0.519973 | + | 0.854183i | \(0.674058\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 14.0000i | 0.637683i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | 0.318182 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 32.0429 | − | 18.5000i | 1.45200 | − | 0.838315i | 0.453409 | − | 0.891303i | \(-0.350208\pi\) |
0.998595 | + | 0.0529875i | \(0.0168744\pi\) | |||||||
\(488\) | 12.1244 | + | 7.00000i | 0.548844 | + | 0.316875i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −36.0000 | −1.62466 | −0.812329 | − | 0.583200i | \(-0.801800\pi\) | ||||
−0.812329 | + | 0.583200i | \(0.801800\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −36.3731 | + | 21.0000i | −1.63816 | + | 0.945792i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.00000 | −0.314309 | ||||||||
\(497\) | −2.59808 | + | 0.500000i | −0.116540 | + | 0.0224281i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.00000 | + | 5.19615i | −0.134298 | + | 0.232612i | −0.925329 | − | 0.379165i | \(-0.876211\pi\) |
0.791031 | + | 0.611776i | \(0.209545\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(504\) | −7.50000 | − | 2.59808i | −0.334077 | − | 0.115728i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 3.00000 | − | 5.19615i | 0.133366 | − | 0.230997i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.92820 | + | 4.00000i | −0.307389 | + | 0.177471i | ||||
\(509\) | −7.00000 | + | 12.1244i | −0.310270 | + | 0.537403i | −0.978421 | − | 0.206623i | \(-0.933753\pi\) |
0.668151 | + | 0.744026i | \(0.267086\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 28.0000 | − | 24.2487i | 1.23865 | − | 1.07270i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.00000 | + | 12.1244i | 0.308757 | + | 0.534782i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 14.0000i | − | 0.615719i | ||||||
\(518\) | −6.92820 | − | 8.00000i | −0.304408 | − | 0.351500i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.50000 | + | 6.06218i | 0.153338 | + | 0.265589i | 0.932453 | − | 0.361293i | \(-0.117664\pi\) |
−0.779115 | + | 0.626881i | \(0.784331\pi\) | |||||||
\(522\) | 15.5885 | − | 9.00000i | 0.682288 | − | 0.393919i | ||||
\(523\) | 12.1244 | + | 7.00000i | 0.530161 | + | 0.306089i | 0.741082 | − | 0.671414i | \(-0.234313\pi\) |
−0.210921 | + | 0.977503i | \(0.567646\pi\) | |||||||
\(524\) | −14.0000 | −0.611593 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.00000 | 0.218010 | ||||||||
\(527\) | 42.4352 | + | 24.5000i | 1.84851 | + | 1.06724i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.00000 | − | 12.1244i | −0.304348 | − | 0.527146i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 42.0000 | 1.82264 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.00000 | − | 10.3923i | −0.259161 | − | 0.448879i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.0000 | + | 8.66025i | 0.473804 | + | 0.373024i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.0000 | + | 20.7846i | −0.515920 | + | 0.893600i | 0.483909 | + | 0.875118i | \(0.339217\pi\) |
−0.999829 | + | 0.0184818i | \(0.994117\pi\) | |||||||
\(542\) | 18.1865 | − | 10.5000i | 0.781179 | − | 0.451014i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.50000 | + | 6.06218i | −0.150061 | + | 0.259914i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.0000i | 1.53925i | 0.638497 | + | 0.769624i | \(0.279557\pi\) | ||||
−0.638497 | + | 0.769624i | \(0.720443\pi\) | |||||||
\(548\) | 2.59808 | + | 1.50000i | 0.110984 | + | 0.0640768i | ||||
\(549\) | 21.0000 | + | 36.3731i | 0.896258 | + | 1.55236i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.52628 | + | 27.5000i | −0.405099 | + | 1.16942i | ||||
\(554\) | −18.0000 | −0.764747 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.00000 | + | 12.1244i | 0.296866 | + | 0.514187i | ||||
\(557\) | 1.73205 | − | 1.00000i | 0.0733893 | − | 0.0423714i | −0.462856 | − | 0.886433i | \(-0.653175\pi\) |
0.536246 | + | 0.844062i | \(0.319842\pi\) | |||||||
\(558\) | −18.1865 | − | 10.5000i | −0.769897 | − | 0.444500i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.866025 | − | 0.500000i | −0.0365311 | − | 0.0210912i | ||||
\(563\) | −24.2487 | + | 14.0000i | −1.02196 | + | 0.590030i | −0.914671 | − | 0.404198i | \(-0.867551\pi\) |
−0.107290 | + | 0.994228i | \(0.534217\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 14.0000 | 0.588464 | ||||||||
\(567\) | −15.5885 | − | 18.0000i | −0.654654 | − | 0.755929i | ||||
\(568\) | − | 1.00000i | − | 0.0419591i | ||||||
\(569\) | 22.5000 | − | 38.9711i | 0.943249 | − | 1.63376i | 0.184030 | − | 0.982921i | \(-0.441086\pi\) |
0.759220 | − | 0.650835i | \(-0.225581\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.00000 | − | 10.3923i | −0.251092 | − | 0.434904i | 0.712735 | − | 0.701434i | \(-0.247456\pi\) |
−0.963827 | + | 0.266529i | \(0.914123\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −17.5000 | − | 6.06218i | −0.730436 | − | 0.253030i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.50000 | − | 2.59808i | 0.0625000 | − | 0.108253i | ||||
\(577\) | 12.1244 | − | 7.00000i | 0.504744 | − | 0.291414i | −0.225927 | − | 0.974144i | \(-0.572541\pi\) |
0.730670 | + | 0.682730i | \(0.239208\pi\) | |||||||
\(578\) | 27.7128 | − | 16.0000i | 1.15270 | − | 0.665512i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.00000 | + | 36.3731i | 0.290409 | + | 1.50901i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.92820 | + | 4.00000i | 0.286937 | + | 0.165663i | ||||
\(584\) | 7.00000 | + | 12.1244i | 0.289662 | + | 0.501709i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.00000 | − | 12.1244i | 0.289167 | − | 0.500853i | ||||
\(587\) | − | 14.0000i | − | 0.577842i | −0.957353 | − | 0.288921i | \(-0.906704\pi\) | ||
0.957353 | − | 0.288921i | \(-0.0932965\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.46410 | − | 2.00000i | 0.142374 | − | 0.0821995i | ||||
\(593\) | 18.1865 | + | 10.5000i | 0.746831 | + | 0.431183i | 0.824548 | − | 0.565792i | \(-0.191430\pi\) |
−0.0777165 | + | 0.996976i | \(0.524763\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −18.0000 | −0.737309 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.5000 | + | 28.5788i | 0.674172 | + | 1.16770i | 0.976710 | + | 0.214563i | \(0.0688326\pi\) |
−0.302539 | + | 0.953137i | \(0.597834\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −42.0000 | −1.71322 | −0.856608 | − | 0.515968i | \(-0.827432\pi\) | ||||
−0.856608 | + | 0.515968i | \(0.827432\pi\) | |||||||
\(602\) | 6.92820 | − | 20.0000i | 0.282372 | − | 0.815139i | ||||
\(603\) | − | 36.0000i | − | 1.46603i | ||||||
\(604\) | −8.00000 | + | 13.8564i | −0.325515 | + | 0.563809i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.06218 | + | 3.50000i | 0.246056 | + | 0.142061i | 0.617957 | − | 0.786212i | \(-0.287961\pi\) |
−0.371901 | + | 0.928272i | \(0.621294\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −18.1865 | + | 10.5000i | −0.735147 | + | 0.424437i | ||||
\(613\) | −25.9808 | + | 15.0000i | −1.04935 | + | 0.605844i | −0.922468 | − | 0.386073i | \(-0.873831\pi\) |
−0.126885 | + | 0.991917i | \(0.540498\pi\) | |||||||
\(614\) | 14.0000 | − | 24.2487i | 0.564994 | − | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.00000 | + | 3.46410i | −0.161165 | + | 0.139573i | ||||
\(617\) | 1.00000i | 0.0402585i | 0.999797 | + | 0.0201292i | \(0.00640777\pi\) | ||||
−0.999797 | + | 0.0201292i | \(0.993592\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.00000 | + | 12.1244i | 0.281354 | + | 0.487319i | 0.971718 | − | 0.236143i | \(-0.0758832\pi\) |
−0.690365 | + | 0.723462i | \(0.742550\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 21.0000i | − | 0.842023i | ||||||
\(623\) | 6.06218 | − | 17.5000i | 0.242876 | − | 0.701123i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 3.50000 | + | 6.06218i | 0.139888 | + | 0.242293i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.1244 | + | 7.00000i | 0.483814 | + | 0.279330i | ||||
\(629\) | −28.0000 | −1.11643 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −43.0000 | −1.71180 | −0.855901 | − | 0.517139i | \(-0.826997\pi\) | ||||
−0.855901 | + | 0.517139i | \(0.826997\pi\) | |||||||
\(632\) | −9.52628 | − | 5.50000i | −0.378935 | − | 0.218778i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.0000 | − | 27.7128i | −0.635441 | − | 1.10062i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 12.0000i | − | 0.475085i | ||||||
\(639\) | 1.50000 | − | 2.59808i | 0.0593391 | − | 0.102778i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.50000 | − | 4.33013i | −0.0987441 | − | 0.171030i | 0.812421 | − | 0.583071i | \(-0.198149\pi\) |
−0.911165 | + | 0.412042i | \(0.864816\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 14.0000i | − | 0.552106i | −0.961142 | − | 0.276053i | \(-0.910973\pi\) | ||
0.961142 | − | 0.276053i | \(-0.0890266\pi\) | |||||||
\(644\) | −1.50000 | − | 7.79423i | −0.0591083 | − | 0.307136i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −24.2487 | + | 14.0000i | −0.953315 | + | 0.550397i | −0.894109 | − | 0.447849i | \(-0.852190\pi\) |
−0.0592060 | + | 0.998246i | \(0.518857\pi\) | |||||||
\(648\) | 7.79423 | − | 4.50000i | 0.306186 | − | 0.176777i | ||||
\(649\) | 14.0000 | − | 24.2487i | 0.549548 | − | 0.951845i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 8.00000i | − | 0.313304i | ||||||
\(653\) | −6.92820 | − | 4.00000i | −0.271122 | − | 0.156532i | 0.358276 | − | 0.933616i | \(-0.383365\pi\) |
−0.629397 | + | 0.777084i | \(0.716698\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.50000 | − | 6.06218i | 0.136652 | − | 0.236688i | ||||
\(657\) | 42.0000i | 1.63858i | ||||||||
\(658\) | −12.1244 | − | 14.0000i | −0.472657 | − | 0.545777i | ||||
\(659\) | 26.0000 | 1.01282 | 0.506408 | − | 0.862294i | \(-0.330973\pi\) | ||||
0.506408 | + | 0.862294i | \(0.330973\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.00000 | + | 12.1244i | 0.272268 | + | 0.471583i | 0.969442 | − | 0.245319i | \(-0.0788928\pi\) |
−0.697174 | + | 0.716902i | \(0.745559\pi\) | |||||||
\(662\) | −8.66025 | + | 5.00000i | −0.336590 | + | 0.194331i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −14.0000 | −0.543305 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 12.0000 | 0.464991 | ||||||||
\(667\) | 15.5885 | + | 9.00000i | 0.603587 | + | 0.348481i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 28.0000 | 1.08093 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 37.0000i | 1.42625i | 0.701039 | + | 0.713123i | \(0.252720\pi\) | ||||
−0.701039 | + | 0.713123i | \(0.747280\pi\) | |||||||
\(674\) | −2.50000 | + | 4.33013i | −0.0962964 | + | 0.166790i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.50000 | + | 11.2583i | 0.250000 | + | 0.433013i | ||||
\(677\) | −36.3731 | − | 21.0000i | −1.39793 | − | 0.807096i | −0.403755 | − | 0.914867i | \(-0.632295\pi\) |
−0.994176 | + | 0.107772i | \(0.965628\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.50000 | + | 18.1865i | 0.134318 | + | 0.697935i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.1244 | + | 7.00000i | −0.464266 | + | 0.268044i | ||||
\(683\) | 22.5167 | − | 13.0000i | 0.861576 | − | 0.497431i | −0.00296369 | − | 0.999996i | \(-0.500943\pi\) |
0.864540 | + | 0.502564i | \(0.167610\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 18.5000 | − | 0.866025i | 0.706333 | − | 0.0330650i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.92820 | + | 4.00000i | 0.264135 | + | 0.152499i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.00000 | − | 12.1244i | 0.266293 | − | 0.461232i | −0.701609 | − | 0.712562i | \(-0.747535\pi\) |
0.967901 | + | 0.251330i | \(0.0808679\pi\) | |||||||
\(692\) | − | 14.0000i | − | 0.532200i | ||||||
\(693\) | −15.5885 | + | 3.00000i | −0.592157 | + | 0.113961i | ||||
\(694\) | 2.00000 | 0.0759190 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −42.4352 | + | 24.5000i | −1.60735 | + | 0.928004i | ||||
\(698\) | −24.2487 | − | 14.0000i | −0.917827 | − | 0.529908i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 16.0000 | 0.604312 | 0.302156 | − | 0.953259i | \(-0.402294\pi\) | ||||
0.302156 | + | 0.953259i | \(0.402294\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.00000 | − | 1.73205i | −0.0376889 | − | 0.0652791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.0000 | −0.790345 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.0000 | − | 19.0526i | 0.413114 | − | 0.715534i | −0.582115 | − | 0.813107i | \(-0.697775\pi\) |
0.995228 | + | 0.0975728i | \(0.0311079\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −16.5000 | − | 28.5788i | −0.618798 | − | 1.07179i | ||||
\(712\) | 6.06218 | + | 3.50000i | 0.227190 | + | 0.131168i | ||||
\(713\) | − | 21.0000i | − | 0.786456i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −9.00000 | + | 15.5885i | −0.336346 | + | 0.582568i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.46410 | + | 2.00000i | −0.129279 | + | 0.0746393i | ||||
\(719\) | 10.5000 | − | 18.1865i | 0.391584 | − | 0.678243i | −0.601075 | − | 0.799193i | \(-0.705261\pi\) |
0.992659 | + | 0.120950i | \(0.0385939\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −17.5000 | − | 6.06218i | −0.651734 | − | 0.225767i | ||||
\(722\) | 19.0000i | 0.707107i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.00000 | − | 12.1244i | −0.260153 | − | 0.450598i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 21.0000i | − | 0.778847i | −0.921059 | − | 0.389423i | \(-0.872674\pi\) | ||
0.921059 | − | 0.389423i | \(-0.127326\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −28.0000 | − | 48.4974i | −1.03562 | − | 1.79374i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.1244 | + | 7.00000i | 0.447823 | + | 0.258551i | 0.706910 | − | 0.707303i | \(-0.250088\pi\) |
−0.259087 | + | 0.965854i | \(0.583422\pi\) | |||||||
\(734\) | −28.0000 | −1.03350 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.00000 | 0.110581 | ||||||||
\(737\) | −20.7846 | − | 12.0000i | −0.765611 | − | 0.442026i | ||||
\(738\) | 18.1865 | − | 10.5000i | 0.669456 | − | 0.386510i | ||||
\(739\) | −22.0000 | − | 38.1051i | −0.809283 | − | 1.40172i | −0.913361 | − | 0.407150i | \(-0.866523\pi\) |
0.104078 | − | 0.994569i | \(-0.466811\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.3923 | − | 2.00000i | 0.381514 | − | 0.0734223i | ||||
\(743\) | 9.00000i | 0.330178i | 0.986279 | + | 0.165089i | \(0.0527911\pi\) | ||||
−0.986279 | + | 0.165089i | \(0.947209\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.00000 | + | 3.46410i | 0.0732252 | + | 0.126830i | ||||
\(747\) | −36.3731 | − | 21.0000i | −1.33082 | − | 0.768350i | ||||
\(748\) | 14.0000i | 0.511891i | ||||||||
\(749\) | −15.0000 | − | 5.19615i | −0.548088 | − | 0.189863i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.00000 | + | 6.92820i | −0.145962 | + | 0.252814i | −0.929731 | − | 0.368238i | \(-0.879961\pi\) |
0.783769 | + | 0.621052i | \(0.213294\pi\) | |||||||
\(752\) | 6.06218 | − | 3.50000i | 0.221065 | − | 0.127632i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.00000i | 0.290765i | 0.989376 | + | 0.145382i | \(0.0464413\pi\) | ||||
−0.989376 | + | 0.145382i | \(0.953559\pi\) | |||||||
\(758\) | −5.19615 | − | 3.00000i | −0.188733 | − | 0.108965i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.5000 | + | 18.1865i | −0.380625 | + | 0.659261i | −0.991152 | − | 0.132734i | \(-0.957624\pi\) |
0.610527 | + | 0.791995i | \(0.290958\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.7846 | + | 24.0000i | 0.752453 | + | 0.868858i | ||||
\(764\) | −15.0000 | −0.542681 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.5000 | − | 18.1865i | −0.379380 | − | 0.657106i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.0000 | 0.504853 | 0.252426 | − | 0.967616i | \(-0.418771\pi\) | ||||
0.252426 | + | 0.967616i | \(0.418771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.33013 | + | 2.50000i | 0.155845 | + | 0.0899770i | ||||
\(773\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(774\) | 12.0000 | + | 20.7846i | 0.431331 | + | 0.747087i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −7.00000 | −0.251285 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 16.0000i | − | 0.573628i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.00000 | − | 1.73205i | −0.0357828 | − | 0.0619777i | ||||
\(782\) | −18.1865 | − | 10.5000i | −0.650349 | − | 0.375479i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.00000 | + | 6.92820i | −0.0357143 | + | 0.247436i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.2487 | + | 14.0000i | −0.864373 | + | 0.499046i | −0.865474 | − | 0.500953i | \(-0.832983\pi\) |
0.00110111 | + | 0.999999i | \(0.499650\pi\) | |||||||
\(788\) | 17.3205 | − | 10.0000i | 0.617018 | − | 0.356235i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.500000 | − | 2.59808i | −0.0177780 | − | 0.0923770i | ||||
\(792\) | − | 6.00000i | − | 0.213201i | ||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −7.00000 | − | 12.1244i | −0.248421 | − | 0.430277i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.50000 | − | 6.06218i | 0.124054 | − | 0.214868i | ||||
\(797\) | 42.0000i | 1.48772i | 0.668338 | + | 0.743858i | \(0.267006\pi\) | ||||
−0.668338 | + | 0.743858i | \(0.732994\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −49.0000 | −1.73350 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 10.5000 | + | 18.1865i | 0.370999 | + | 0.642590i | ||||
\(802\) | −8.66025 | + | 5.00000i | −0.305804 | + | 0.176556i | ||||
\(803\) | 24.2487 | + | 14.0000i | 0.855718 | + | 0.494049i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −15.0000 | − | 25.9808i | −0.527372 | − | 0.913435i | −0.999491 | − | 0.0319002i | \(-0.989844\pi\) |
0.472119 | − | 0.881535i | \(-0.343489\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | −10.3923 | − | 12.0000i | −0.364698 | − | 0.421117i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.00000 | − | 6.92820i | 0.140200 | − | 0.242833i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 21.0000i | 0.734248i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.0000 | − | 41.5692i | 0.837606 | − | 1.45078i | −0.0542853 | − | 0.998525i | \(-0.517288\pi\) |
0.891891 | − | 0.452250i | \(-0.149379\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −38.1051 | + | 22.0000i | −1.32826 | + | 0.766872i | −0.985031 | − | 0.172379i | \(-0.944854\pi\) |
−0.343230 | + | 0.939251i | \(0.611521\pi\) | |||||||
\(824\) | 3.50000 | − | 6.06218i | 0.121928 | − | 0.211186i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.00000 | − | 36.3731i | −0.243561 | − | 1.26558i | ||||
\(827\) | 22.0000i | 0.765015i | 0.923952 | + | 0.382507i | \(0.124939\pi\) | ||||
−0.923952 | + | 0.382507i | \(0.875061\pi\) | |||||||
\(828\) | 7.79423 | + | 4.50000i | 0.270868 | + | 0.156386i | ||||
\(829\) | 7.00000 | + | 12.1244i | 0.243120 | + | 0.421096i | 0.961601 | − | 0.274450i | \(-0.0884958\pi\) |
−0.718481 | + | 0.695546i | \(0.755162\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.3109 | − | 38.5000i | 1.05021 | − | 1.33395i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 49.0000 | 1.69167 | 0.845834 | − | 0.533446i | \(-0.179103\pi\) | ||||
0.845834 | + | 0.533446i | \(0.179103\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.00000 | 0.241379 | ||||||||
\(842\) | 17.3205 | + | 10.0000i | 0.596904 | + | 0.344623i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.00000 | + | 13.8564i | 0.275371 | + | 0.476957i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 21.0000 | 0.721995 | ||||||||
\(847\) | 6.06218 | − | 17.5000i | 0.208299 | − | 0.601307i | ||||
\(848\) | 4.00000i | 0.137361i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.00000 | + | 10.3923i | 0.205677 | + | 0.356244i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 28.0000i | − | 0.958702i | −0.877623 | − | 0.479351i | \(-0.840872\pi\) | ||
0.877623 | − | 0.479351i | \(-0.159128\pi\) | |||||||
\(854\) | 28.0000 | − | 24.2487i | 0.958140 | − | 0.829774i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.00000 | − | 5.19615i | 0.102538 | − | 0.177601i | ||||
\(857\) | 36.3731 | − | 21.0000i | 1.24248 | − | 0.717346i | 0.272882 | − | 0.962048i | \(-0.412023\pi\) |
0.969599 | + | 0.244701i | \(0.0786899\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.0000 | + | 36.3731i | −0.716511 | + | 1.24103i | 0.245863 | + | 0.969305i | \(0.420929\pi\) |
−0.962374 | + | 0.271728i | \(0.912405\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.00000i | 0.102180i | ||||||||
\(863\) | 9.52628 | + | 5.50000i | 0.324278 | + | 0.187222i | 0.653298 | − | 0.757101i | \(-0.273385\pi\) |
−0.329020 | + | 0.944323i | \(0.606718\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.50000 | − | 6.06218i | 0.118935 | − | 0.206001i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.06218 | + | 17.5000i | −0.205764 | + | 0.593989i | ||||
\(869\) | −22.0000 | −0.746299 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −10.3923 | + | 6.00000i | −0.351928 | + | 0.203186i | ||||
\(873\) | −18.1865 | − | 10.5000i | −0.615521 | − | 0.355371i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.4449 | − | 17.0000i | −0.994282 | − | 0.574049i | −0.0877308 | − | 0.996144i | \(-0.527962\pi\) |
−0.906552 | + | 0.422095i | \(0.861295\pi\) | |||||||
\(878\) | 6.06218 | − | 3.50000i | 0.204589 | − | 0.118119i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 35.0000 | 1.17918 | 0.589590 | − | 0.807703i | \(-0.299289\pi\) | ||||
0.589590 | + | 0.807703i | \(0.299289\pi\) | |||||||
\(882\) | −12.9904 | + | 16.5000i | −0.437409 | + | 0.555584i | ||||
\(883\) | 6.00000i | 0.201916i | 0.994891 | + | 0.100958i | \(0.0321908\pi\) | ||||
−0.994891 | + | 0.100958i | \(0.967809\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.0000 | + | 17.3205i | 0.335957 | + | 0.581894i | ||||
\(887\) | 48.4974 | + | 28.0000i | 1.62838 | + | 0.940148i | 0.984575 | + | 0.174962i | \(0.0559801\pi\) |
0.643809 | + | 0.765186i | \(0.277353\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.00000 | + | 20.7846i | 0.134156 | + | 0.697093i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 9.00000 | − | 15.5885i | 0.301511 | − | 0.522233i | ||||
\(892\) | −6.06218 | + | 3.50000i | −0.202977 | + | 0.117189i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.50000 | − | 0.866025i | −0.0835191 | − | 0.0289319i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 12.9904 | + | 7.50000i | 0.433495 | + | 0.250278i | ||||
\(899\) | −21.0000 | − | 36.3731i | −0.700389 | − | 1.21311i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.0000 | − | 24.2487i | 0.466408 | − | 0.807842i | ||||
\(902\) | − | 14.0000i | − | 0.466149i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.00000 | 0.0332595 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.66025 | − | 5.00000i | 0.287559 | − | 0.166022i | −0.349281 | − | 0.937018i | \(-0.613574\pi\) |
0.636841 | + | 0.770996i | \(0.280241\pi\) | |||||||
\(908\) | −12.1244 | − | 7.00000i | −0.402361 | − | 0.232303i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.0000 | 0.894550 | 0.447275 | − | 0.894397i | \(-0.352395\pi\) | ||||
0.447275 | + | 0.894397i | \(0.352395\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.2487 | + | 14.0000i | −0.802515 | + | 0.463332i | ||||
\(914\) | 5.00000 | + | 8.66025i | 0.165385 | + | 0.286456i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.0000 | −0.462573 | ||||||||
\(917\) | −12.1244 | + | 35.0000i | −0.400381 | + | 1.15580i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.5000 | + | 21.6506i | −0.412337 | + | 0.714189i | −0.995145 | − | 0.0984214i | \(-0.968621\pi\) |
0.582808 | + | 0.812610i | \(0.301954\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 24.2487 | + | 14.0000i | 0.798589 | + | 0.461065i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −11.5000 | + | 19.9186i | −0.377913 | + | 0.654565i | ||||
\(927\) | 18.1865 | − | 10.5000i | 0.597324 | − | 0.344865i | ||||
\(928\) | 5.19615 | − | 3.00000i | 0.170572 | − | 0.0984798i | ||||
\(929\) | −7.00000 | + | 12.1244i | −0.229663 | + | 0.397787i | −0.957708 | − | 0.287742i | \(-0.907096\pi\) |
0.728046 | + | 0.685529i | \(0.240429\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.0000i | 0.589610i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 7.00000 | + | 12.1244i | 0.229047 | + | 0.396721i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 14.0000i | − | 0.457360i | −0.973502 | − | 0.228680i | \(-0.926559\pi\) | ||
0.973502 | − | 0.228680i | \(-0.0734410\pi\) | |||||||
\(938\) | −31.1769 | + | 6.00000i | −1.01796 | + | 0.195907i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.0000 | + | 24.2487i | 0.456387 | + | 0.790485i | 0.998767 | − | 0.0496480i | \(-0.0158099\pi\) |
−0.542380 | + | 0.840133i | \(0.682477\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.1865 | + | 10.5000i | 0.592235 | + | 0.341927i | ||||
\(944\) | 14.0000 | 0.455661 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.0000 | 0.520205 | ||||||||
\(947\) | 6.92820 | + | 4.00000i | 0.225136 | + | 0.129983i | 0.608326 | − | 0.793687i | \(-0.291841\pi\) |
−0.383190 | + | 0.923670i | \(0.625175\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 12.1244 | + | 14.0000i | 0.392953 | + | 0.453743i | ||||
\(953\) | 6.00000i | 0.194359i | 0.995267 | + | 0.0971795i | \(0.0309821\pi\) | ||||
−0.995267 | + | 0.0971795i | \(0.969018\pi\) | |||||||
\(954\) | −6.00000 | + | 10.3923i | −0.194257 | + | 0.336463i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 2.50000 | + | 4.33013i | 0.0808558 | + | 0.140046i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 21.0000i | 0.678479i | ||||||||
\(959\) | 6.00000 | − | 5.19615i | 0.193750 | − | 0.167793i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.00000 | + | 15.5885i | −0.290323 | + | 0.502853i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 15.5885 | − | 9.00000i | 0.502331 | − | 0.290021i | ||||
\(964\) | −7.00000 | + | 12.1244i | −0.225455 | + | 0.390499i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 37.0000i | − | 1.18984i | −0.803785 | − | 0.594920i | \(-0.797184\pi\) | ||
0.803785 | − | 0.594920i | \(-0.202816\pi\) | |||||||
\(968\) | 6.06218 | + | 3.50000i | 0.194846 | + | 0.112494i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21.0000 | + | 36.3731i | −0.673922 | + | 1.16727i | 0.302861 | + | 0.953035i | \(0.402058\pi\) |
−0.976783 | + | 0.214232i | \(0.931275\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 36.3731 | − | 7.00000i | 1.16607 | − | 0.224410i | ||||
\(974\) | 37.0000 | 1.18556 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.00000 | + | 12.1244i | 0.224065 | + | 0.388091i | ||||
\(977\) | 44.1673 | − | 25.5000i | 1.41304 | − | 0.815817i | 0.417364 | − | 0.908740i | \(-0.362954\pi\) |
0.995673 | + | 0.0929223i | \(0.0296208\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.0000 | 0.447442 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −36.0000 | −1.14939 | ||||||||
\(982\) | −31.1769 | − | 18.0000i | −0.994895 | − | 0.574403i | ||||
\(983\) | 48.4974 | − | 28.0000i | 1.54683 | − | 0.893061i | 0.548446 | − | 0.836186i | \(-0.315220\pi\) |
0.998381 | − | 0.0568755i | \(-0.0181138\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −42.0000 | −1.33755 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −12.0000 | + | 20.7846i | −0.381578 | + | 0.660912i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.5000 | + | 19.9186i | 0.365310 | + | 0.632735i | 0.988826 | − | 0.149076i | \(-0.0476298\pi\) |
−0.623516 | + | 0.781810i | \(0.714296\pi\) | |||||||
\(992\) | −6.06218 | − | 3.50000i | −0.192474 | − | 0.111125i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.50000 | − | 0.866025i | −0.0792952 | − | 0.0274687i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 24.2487 | − | 14.0000i | 0.767964 | − | 0.443384i | −0.0641836 | − | 0.997938i | \(-0.520444\pi\) |
0.832148 | + | 0.554554i | \(0.187111\pi\) | |||||||
\(998\) | −5.19615 | + | 3.00000i | −0.164481 | + | 0.0949633i | ||||
\(999\) | 0 | 0 |
(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 | 350.2.j.c.149.2 | 4 | ||
5.2 | odd | 4 | 350.2.e.d.51.1 | ✓ | 2 | ||
5.3 | odd | 4 | 350.2.e.i.51.1 | yes | 2 | ||
5.4 | even | 2 | inner | 350.2.j.c.149.1 | 4 | ||
7.2 | even | 3 | 2450.2.c.i.99.1 | 2 | |||
7.4 | even | 3 | inner | 350.2.j.c.249.1 | 4 | ||
7.5 | odd | 6 | 2450.2.c.j.99.1 | 2 | |||
35.2 | odd | 12 | 2450.2.a.y.1.1 | 1 | |||
35.4 | even | 6 | inner | 350.2.j.c.249.2 | 4 | ||
35.9 | even | 6 | 2450.2.c.i.99.2 | 2 | |||
35.12 | even | 12 | 2450.2.a.z.1.1 | 1 | |||
35.18 | odd | 12 | 350.2.e.i.151.1 | yes | 2 | ||
35.19 | odd | 6 | 2450.2.c.j.99.2 | 2 | |||
35.23 | odd | 12 | 2450.2.a.i.1.1 | 1 | |||
35.32 | odd | 12 | 350.2.e.d.151.1 | yes | 2 | ||
35.33 | even | 12 | 2450.2.a.h.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.e.d.51.1 | ✓ | 2 | 5.2 | odd | 4 | ||
350.2.e.d.151.1 | yes | 2 | 35.32 | odd | 12 | ||
350.2.e.i.51.1 | yes | 2 | 5.3 | odd | 4 | ||
350.2.e.i.151.1 | yes | 2 | 35.18 | odd | 12 | ||
350.2.j.c.149.1 | 4 | 5.4 | even | 2 | inner | ||
350.2.j.c.149.2 | 4 | 1.1 | even | 1 | trivial | ||
350.2.j.c.249.1 | 4 | 7.4 | even | 3 | inner | ||
350.2.j.c.249.2 | 4 | 35.4 | even | 6 | inner | ||
2450.2.a.h.1.1 | 1 | 35.33 | even | 12 | |||
2450.2.a.i.1.1 | 1 | 35.23 | odd | 12 | |||
2450.2.a.y.1.1 | 1 | 35.2 | odd | 12 | |||
2450.2.a.z.1.1 | 1 | 35.12 | even | 12 | |||
2450.2.c.i.99.1 | 2 | 7.2 | even | 3 | |||
2450.2.c.i.99.2 | 2 | 35.9 | even | 6 | |||
2450.2.c.j.99.1 | 2 | 7.5 | odd | 6 | |||
2450.2.c.j.99.2 | 2 | 35.19 | odd | 6 |