Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(259,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.b (of order \(2\), degree \(1\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 38x^{14} + 525x^{12} + 3518x^{10} + 12216x^{8} + 20990x^{6} + 15229x^{4} + 4754x^{2} + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 259.4 | ||
Root | \(-0.689100i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.259 |
Dual form | 430.2.b.b.259.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0.310900i | 0.179498i | 0.995964 | + | 0.0897492i | \(0.0286065\pi\) | ||||
−0.995964 | + | 0.0897492i | \(0.971393\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.205955 | − | 2.22656i | −0.0921060 | − | 0.995749i | ||||
\(6\) | 0.310900 | 0.126925 | ||||||||
\(7\) | 2.43727i | 0.921201i | 0.887608 | + | 0.460600i | \(0.152366\pi\) | ||||
−0.887608 | + | 0.460600i | \(0.847634\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.90334 | 0.967780 | ||||||||
\(10\) | −2.22656 | + | 0.205955i | −0.704101 | + | 0.0651288i | ||||
\(11\) | 4.13135 | 1.24565 | 0.622825 | − | 0.782361i | \(-0.285985\pi\) | ||||
0.622825 | + | 0.782361i | \(0.285985\pi\) | |||||||
\(12\) | − | 0.310900i | − | 0.0897492i | ||||||
\(13\) | − | 2.98705i | − | 0.828459i | −0.910172 | − | 0.414230i | \(-0.864051\pi\) | ||
0.910172 | − | 0.414230i | \(-0.135949\pi\) | |||||||
\(14\) | 2.43727 | 0.651387 | ||||||||
\(15\) | 0.692239 | − | 0.0640316i | 0.178735 | − | 0.0165329i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 8.05940i | − | 1.95469i | −0.211647 | − | 0.977346i | \(-0.567883\pi\) | ||
0.211647 | − | 0.977346i | \(-0.432117\pi\) | |||||||
\(18\) | − | 2.90334i | − | 0.684324i | ||||||
\(19\) | −4.02536 | −0.923480 | −0.461740 | − | 0.887015i | \(-0.652775\pi\) | ||||
−0.461740 | + | 0.887015i | \(0.652775\pi\) | |||||||
\(20\) | 0.205955 | + | 2.22656i | 0.0460530 | + | 0.497875i | ||||
\(21\) | −0.757747 | −0.165354 | ||||||||
\(22\) | − | 4.13135i | − | 0.880807i | ||||||
\(23\) | − | 1.71944i | − | 0.358529i | −0.983801 | − | 0.179264i | \(-0.942628\pi\) | ||
0.983801 | − | 0.179264i | \(-0.0573717\pi\) | |||||||
\(24\) | −0.310900 | −0.0634623 | ||||||||
\(25\) | −4.91516 | + | 0.917145i | −0.983033 | + | 0.183429i | ||||
\(26\) | −2.98705 | −0.585809 | ||||||||
\(27\) | 1.83535i | 0.353213i | ||||||||
\(28\) | − | 2.43727i | − | 0.460600i | ||||||
\(29\) | −1.98253 | −0.368146 | −0.184073 | − | 0.982913i | \(-0.558928\pi\) | ||||
−0.184073 | + | 0.982913i | \(0.558928\pi\) | |||||||
\(30\) | −0.0640316 | − | 0.692239i | −0.0116905 | − | 0.126385i | ||||
\(31\) | 6.12637 | 1.10033 | 0.550164 | − | 0.835057i | \(-0.314565\pi\) | ||||
0.550164 | + | 0.835057i | \(0.314565\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.28444i | 0.223592i | ||||||||
\(34\) | −8.05940 | −1.38218 | ||||||||
\(35\) | 5.42673 | − | 0.501968i | 0.917285 | − | 0.0848481i | ||||
\(36\) | −2.90334 | −0.483890 | ||||||||
\(37\) | − | 1.06271i | − | 0.174708i | −0.996177 | − | 0.0873539i | \(-0.972159\pi\) | ||
0.996177 | − | 0.0873539i | \(-0.0278411\pi\) | |||||||
\(38\) | 4.02536i | 0.652999i | ||||||||
\(39\) | 0.928676 | 0.148707 | ||||||||
\(40\) | 2.22656 | − | 0.205955i | 0.352051 | − | 0.0325644i | ||||
\(41\) | 8.13859 | 1.27103 | 0.635517 | − | 0.772087i | \(-0.280787\pi\) | ||||
0.635517 | + | 0.772087i | \(0.280787\pi\) | |||||||
\(42\) | 0.757747i | 0.116923i | ||||||||
\(43\) | 1.00000i | 0.152499i | ||||||||
\(44\) | −4.13135 | −0.622825 | ||||||||
\(45\) | −0.597958 | − | 6.46447i | −0.0891384 | − | 0.963666i | ||||
\(46\) | −1.71944 | −0.253518 | ||||||||
\(47\) | 0.297064i | 0.0433312i | 0.999765 | + | 0.0216656i | \(0.00689692\pi\) | ||||
−0.999765 | + | 0.0216656i | \(0.993103\pi\) | |||||||
\(48\) | 0.310900i | 0.0448746i | ||||||||
\(49\) | 1.05973 | 0.151389 | ||||||||
\(50\) | 0.917145 | + | 4.91516i | 0.129704 | + | 0.695109i | ||||
\(51\) | 2.50567 | 0.350864 | ||||||||
\(52\) | 2.98705i | 0.414230i | ||||||||
\(53\) | 13.0290i | 1.78967i | 0.446399 | + | 0.894834i | \(0.352706\pi\) | ||||
−0.446399 | + | 0.894834i | \(0.647294\pi\) | |||||||
\(54\) | 1.83535 | 0.249760 | ||||||||
\(55\) | −0.850874 | − | 9.19872i | −0.114732 | − | 1.24035i | ||||
\(56\) | −2.43727 | −0.325694 | ||||||||
\(57\) | − | 1.25148i | − | 0.165763i | ||||||
\(58\) | 1.98253i | 0.260318i | ||||||||
\(59\) | −0.202020 | −0.0263008 | −0.0131504 | − | 0.999914i | \(-0.504186\pi\) | ||||
−0.0131504 | + | 0.999914i | \(0.504186\pi\) | |||||||
\(60\) | −0.692239 | + | 0.0640316i | −0.0893677 | + | 0.00826644i | ||||
\(61\) | −3.83397 | −0.490889 | −0.245445 | − | 0.969411i | \(-0.578934\pi\) | ||||
−0.245445 | + | 0.969411i | \(0.578934\pi\) | |||||||
\(62\) | − | 6.12637i | − | 0.778049i | ||||||
\(63\) | 7.07622i | 0.891520i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −6.65086 | + | 0.615199i | −0.824938 | + | 0.0763061i | ||||
\(66\) | 1.28444 | 0.158104 | ||||||||
\(67\) | 6.74414i | 0.823928i | 0.911200 | + | 0.411964i | \(0.135157\pi\) | ||||
−0.911200 | + | 0.411964i | \(0.864843\pi\) | |||||||
\(68\) | 8.05940i | 0.977346i | ||||||||
\(69\) | 0.534575 | 0.0643553 | ||||||||
\(70\) | −0.501968 | − | 5.42673i | −0.0599967 | − | 0.648618i | ||||
\(71\) | 5.40129 | 0.641015 | 0.320508 | − | 0.947246i | \(-0.396146\pi\) | ||||
0.320508 | + | 0.947246i | \(0.396146\pi\) | |||||||
\(72\) | 2.90334i | 0.342162i | ||||||||
\(73\) | − | 1.14430i | − | 0.133930i | −0.997755 | − | 0.0669651i | \(-0.978668\pi\) | ||
0.997755 | − | 0.0669651i | \(-0.0213316\pi\) | |||||||
\(74\) | −1.06271 | −0.123537 | ||||||||
\(75\) | −0.285141 | − | 1.52813i | −0.0329252 | − | 0.176453i | ||||
\(76\) | 4.02536 | 0.461740 | ||||||||
\(77\) | 10.0692i | 1.14749i | ||||||||
\(78\) | − | 0.928676i | − | 0.105152i | ||||||
\(79\) | −14.1162 | −1.58819 | −0.794096 | − | 0.607792i | \(-0.792055\pi\) | ||||
−0.794096 | + | 0.607792i | \(0.792055\pi\) | |||||||
\(80\) | −0.205955 | − | 2.22656i | −0.0230265 | − | 0.248937i | ||||
\(81\) | 8.13941 | 0.904379 | ||||||||
\(82\) | − | 8.13859i | − | 0.898757i | ||||||
\(83\) | 3.57563i | 0.392476i | 0.980556 | + | 0.196238i | \(0.0628725\pi\) | ||||
−0.980556 | + | 0.196238i | \(0.937127\pi\) | |||||||
\(84\) | 0.757747 | 0.0826770 | ||||||||
\(85\) | −17.9448 | + | 1.65988i | −1.94638 | + | 0.180039i | ||||
\(86\) | 1.00000 | 0.107833 | ||||||||
\(87\) | − | 0.616368i | − | 0.0660816i | ||||||
\(88\) | 4.13135i | 0.440404i | ||||||||
\(89\) | −3.88382 | −0.411684 | −0.205842 | − | 0.978585i | \(-0.565993\pi\) | ||||
−0.205842 | + | 0.978585i | \(0.565993\pi\) | |||||||
\(90\) | −6.46447 | + | 0.597958i | −0.681415 | + | 0.0630303i | ||||
\(91\) | 7.28025 | 0.763177 | ||||||||
\(92\) | 1.71944i | 0.179264i | ||||||||
\(93\) | 1.90469i | 0.197507i | ||||||||
\(94\) | 0.297064 | 0.0306398 | ||||||||
\(95\) | 0.829044 | + | 8.96271i | 0.0850581 | + | 0.919555i | ||||
\(96\) | 0.310900 | 0.0317311 | ||||||||
\(97\) | 4.77755i | 0.485087i | 0.970141 | + | 0.242543i | \(0.0779817\pi\) | ||||
−0.970141 | + | 0.242543i | \(0.922018\pi\) | |||||||
\(98\) | − | 1.05973i | − | 0.107048i | ||||||
\(99\) | 11.9947 | 1.20552 | ||||||||
\(100\) | 4.91516 | − | 0.917145i | 0.491516 | − | 0.0917145i | ||||
\(101\) | −11.0158 | −1.09611 | −0.548055 | − | 0.836442i | \(-0.684631\pi\) | ||||
−0.548055 | + | 0.836442i | \(0.684631\pi\) | |||||||
\(102\) | − | 2.50567i | − | 0.248098i | ||||||
\(103\) | − | 13.4363i | − | 1.32392i | −0.749540 | − | 0.661959i | \(-0.769725\pi\) | ||
0.749540 | − | 0.661959i | \(-0.230275\pi\) | |||||||
\(104\) | 2.98705 | 0.292905 | ||||||||
\(105\) | 0.156062 | + | 1.68717i | 0.0152301 | + | 0.164651i | ||||
\(106\) | 13.0290 | 1.26549 | ||||||||
\(107\) | 9.10866i | 0.880567i | 0.897859 | + | 0.440284i | \(0.145122\pi\) | ||||
−0.897859 | + | 0.440284i | \(0.854878\pi\) | |||||||
\(108\) | − | 1.83535i | − | 0.176607i | ||||||
\(109\) | 5.21255 | 0.499272 | 0.249636 | − | 0.968340i | \(-0.419689\pi\) | ||||
0.249636 | + | 0.968340i | \(0.419689\pi\) | |||||||
\(110\) | −9.19872 | + | 0.850874i | −0.877063 | + | 0.0811276i | ||||
\(111\) | 0.330396 | 0.0313598 | ||||||||
\(112\) | 2.43727i | 0.230300i | ||||||||
\(113\) | 7.13297i | 0.671013i | 0.942038 | + | 0.335507i | \(0.108908\pi\) | ||||
−0.942038 | + | 0.335507i | \(0.891092\pi\) | |||||||
\(114\) | −1.25148 | −0.117212 | ||||||||
\(115\) | −3.82845 | + | 0.354128i | −0.357005 | + | 0.0330226i | ||||
\(116\) | 1.98253 | 0.184073 | ||||||||
\(117\) | − | 8.67243i | − | 0.801767i | ||||||
\(118\) | 0.202020i | 0.0185975i | ||||||||
\(119\) | 19.6429 | 1.80066 | ||||||||
\(120\) | 0.0640316 | + | 0.692239i | 0.00584525 | + | 0.0631925i | ||||
\(121\) | 6.06808 | 0.551644 | ||||||||
\(122\) | 3.83397i | 0.347111i | ||||||||
\(123\) | 2.53029i | 0.228149i | ||||||||
\(124\) | −6.12637 | −0.550164 | ||||||||
\(125\) | 3.05438 | + | 10.7550i | 0.273192 | + | 0.961959i | ||||
\(126\) | 7.07622 | 0.630400 | ||||||||
\(127\) | 13.5644i | 1.20364i | 0.798631 | + | 0.601821i | \(0.205558\pi\) | ||||
−0.798631 | + | 0.601821i | \(0.794442\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −0.310900 | −0.0273732 | ||||||||
\(130\) | 0.615199 | + | 6.65086i | 0.0539565 | + | 0.583319i | ||||
\(131\) | 9.56414 | 0.835622 | 0.417811 | − | 0.908534i | \(-0.362797\pi\) | ||||
0.417811 | + | 0.908534i | \(0.362797\pi\) | |||||||
\(132\) | − | 1.28444i | − | 0.111796i | ||||||
\(133\) | − | 9.81087i | − | 0.850711i | ||||||
\(134\) | 6.74414 | 0.582605 | ||||||||
\(135\) | 4.08652 | − | 0.378000i | 0.351712 | − | 0.0325331i | ||||
\(136\) | 8.05940 | 0.691088 | ||||||||
\(137\) | − | 4.55865i | − | 0.389472i | −0.980856 | − | 0.194736i | \(-0.937615\pi\) | ||
0.980856 | − | 0.194736i | \(-0.0623850\pi\) | |||||||
\(138\) | − | 0.534575i | − | 0.0455061i | ||||||
\(139\) | 7.54593 | 0.640037 | 0.320019 | − | 0.947411i | \(-0.396311\pi\) | ||||
0.320019 | + | 0.947411i | \(0.396311\pi\) | |||||||
\(140\) | −5.42673 | + | 0.501968i | −0.458642 | + | 0.0424241i | ||||
\(141\) | −0.0923572 | −0.00777788 | ||||||||
\(142\) | − | 5.40129i | − | 0.453266i | ||||||
\(143\) | − | 12.3406i | − | 1.03197i | ||||||
\(144\) | 2.90334 | 0.241945 | ||||||||
\(145\) | 0.408312 | + | 4.41422i | 0.0339084 | + | 0.366581i | ||||
\(146\) | −1.14430 | −0.0947030 | ||||||||
\(147\) | 0.329469i | 0.0271741i | ||||||||
\(148\) | 1.06271i | 0.0873539i | ||||||||
\(149\) | −21.7726 | −1.78368 | −0.891840 | − | 0.452351i | \(-0.850586\pi\) | ||||
−0.891840 | + | 0.452351i | \(0.850586\pi\) | |||||||
\(150\) | −1.52813 | + | 0.285141i | −0.124771 | + | 0.0232816i | ||||
\(151\) | −19.5939 | −1.59453 | −0.797266 | − | 0.603628i | \(-0.793721\pi\) | ||||
−0.797266 | + | 0.603628i | \(0.793721\pi\) | |||||||
\(152\) | − | 4.02536i | − | 0.326500i | ||||||
\(153\) | − | 23.3992i | − | 1.89171i | ||||||
\(154\) | 10.0692 | 0.811400 | ||||||||
\(155\) | −1.26176 | − | 13.6407i | −0.101347 | − | 1.09565i | ||||
\(156\) | −0.928676 | −0.0743536 | ||||||||
\(157\) | 22.9383i | 1.83067i | 0.402690 | + | 0.915336i | \(0.368075\pi\) | ||||
−0.402690 | + | 0.915336i | \(0.631925\pi\) | |||||||
\(158\) | 14.1162i | 1.12302i | ||||||||
\(159\) | −4.05071 | −0.321243 | ||||||||
\(160\) | −2.22656 | + | 0.205955i | −0.176025 | + | 0.0162822i | ||||
\(161\) | 4.19074 | 0.330277 | ||||||||
\(162\) | − | 8.13941i | − | 0.639493i | ||||||
\(163\) | 8.37843i | 0.656249i | 0.944634 | + | 0.328125i | \(0.106417\pi\) | ||||
−0.944634 | + | 0.328125i | \(0.893583\pi\) | |||||||
\(164\) | −8.13859 | −0.635517 | ||||||||
\(165\) | 2.85988 | − | 0.264537i | 0.222642 | − | 0.0205942i | ||||
\(166\) | 3.57563 | 0.277522 | ||||||||
\(167\) | − | 3.33004i | − | 0.257686i | −0.991665 | − | 0.128843i | \(-0.958874\pi\) | ||
0.991665 | − | 0.128843i | \(-0.0411263\pi\) | |||||||
\(168\) | − | 0.757747i | − | 0.0584615i | ||||||
\(169\) | 4.07752 | 0.313655 | ||||||||
\(170\) | 1.65988 | + | 17.9448i | 0.127307 | + | 1.37630i | ||||
\(171\) | −11.6870 | −0.893726 | ||||||||
\(172\) | − | 1.00000i | − | 0.0762493i | ||||||
\(173\) | 11.3222i | 0.860812i | 0.902635 | + | 0.430406i | \(0.141630\pi\) | ||||
−0.902635 | + | 0.430406i | \(0.858370\pi\) | |||||||
\(174\) | −0.616368 | −0.0467267 | ||||||||
\(175\) | −2.23533 | − | 11.9796i | −0.168975 | − | 0.905571i | ||||
\(176\) | 4.13135 | 0.311412 | ||||||||
\(177\) | − | 0.0628082i | − | 0.00472095i | ||||||
\(178\) | 3.88382i | 0.291104i | ||||||||
\(179\) | −24.3428 | −1.81947 | −0.909733 | − | 0.415194i | \(-0.863714\pi\) | ||||
−0.909733 | + | 0.415194i | \(0.863714\pi\) | |||||||
\(180\) | 0.597958 | + | 6.46447i | 0.0445692 | + | 0.481833i | ||||
\(181\) | −16.3993 | −1.21895 | −0.609476 | − | 0.792805i | \(-0.708620\pi\) | ||||
−0.609476 | + | 0.792805i | \(0.708620\pi\) | |||||||
\(182\) | − | 7.28025i | − | 0.539648i | ||||||
\(183\) | − | 1.19198i | − | 0.0881138i | ||||||
\(184\) | 1.71944 | 0.126759 | ||||||||
\(185\) | −2.36618 | + | 0.218870i | −0.173965 | + | 0.0160916i | ||||
\(186\) | 1.90469 | 0.139659 | ||||||||
\(187\) | − | 33.2962i | − | 2.43486i | ||||||
\(188\) | − | 0.297064i | − | 0.0216656i | ||||||
\(189\) | −4.47324 | −0.325380 | ||||||||
\(190\) | 8.96271 | − | 0.829044i | 0.650223 | − | 0.0601451i | ||||
\(191\) | 13.4739 | 0.974938 | 0.487469 | − | 0.873140i | \(-0.337920\pi\) | ||||
0.487469 | + | 0.873140i | \(0.337920\pi\) | |||||||
\(192\) | − | 0.310900i | − | 0.0224373i | ||||||
\(193\) | − | 23.0357i | − | 1.65814i | −0.559142 | − | 0.829072i | \(-0.688869\pi\) | ||
0.559142 | − | 0.829072i | \(-0.311131\pi\) | |||||||
\(194\) | 4.77755 | 0.343008 | ||||||||
\(195\) | −0.191266 | − | 2.06775i | −0.0136968 | − | 0.148075i | ||||
\(196\) | −1.05973 | −0.0756947 | ||||||||
\(197\) | 14.9741i | 1.06686i | 0.845845 | + | 0.533429i | \(0.179097\pi\) | ||||
−0.845845 | + | 0.533429i | \(0.820903\pi\) | |||||||
\(198\) | − | 11.9947i | − | 0.852428i | ||||||
\(199\) | −9.81530 | −0.695789 | −0.347894 | − | 0.937534i | \(-0.613103\pi\) | ||||
−0.347894 | + | 0.937534i | \(0.613103\pi\) | |||||||
\(200\) | −0.917145 | − | 4.91516i | −0.0648519 | − | 0.347555i | ||||
\(201\) | −2.09676 | −0.147894 | ||||||||
\(202\) | 11.0158i | 0.775067i | ||||||||
\(203\) | − | 4.83195i | − | 0.339136i | ||||||
\(204\) | −2.50567 | −0.175432 | ||||||||
\(205\) | −1.67619 | − | 18.1211i | −0.117070 | − | 1.26563i | ||||
\(206\) | −13.4363 | −0.936151 | ||||||||
\(207\) | − | 4.99213i | − | 0.346977i | ||||||
\(208\) | − | 2.98705i | − | 0.207115i | ||||||
\(209\) | −16.6302 | −1.15033 | ||||||||
\(210\) | 1.68717 | − | 0.156062i | 0.116426 | − | 0.0107693i | ||||
\(211\) | 18.1730 | 1.25108 | 0.625539 | − | 0.780193i | \(-0.284879\pi\) | ||||
0.625539 | + | 0.780193i | \(0.284879\pi\) | |||||||
\(212\) | − | 13.0290i | − | 0.894834i | ||||||
\(213\) | 1.67926i | 0.115061i | ||||||||
\(214\) | 9.10866 | 0.622655 | ||||||||
\(215\) | 2.22656 | − | 0.205955i | 0.151850 | − | 0.0140460i | ||||
\(216\) | −1.83535 | −0.124880 | ||||||||
\(217\) | 14.9316i | 1.01362i | ||||||||
\(218\) | − | 5.21255i | − | 0.353039i | ||||||
\(219\) | 0.355763 | 0.0240403 | ||||||||
\(220\) | 0.850874 | + | 9.19872i | 0.0573659 | + | 0.620177i | ||||
\(221\) | −24.0739 | −1.61938 | ||||||||
\(222\) | − | 0.330396i | − | 0.0221747i | ||||||
\(223\) | − | 10.2007i | − | 0.683087i | −0.939866 | − | 0.341543i | \(-0.889050\pi\) | ||
0.939866 | − | 0.341543i | \(-0.110950\pi\) | |||||||
\(224\) | 2.43727 | 0.162847 | ||||||||
\(225\) | −14.2704 | + | 2.66278i | −0.951360 | + | 0.177519i | ||||
\(226\) | 7.13297 | 0.474478 | ||||||||
\(227\) | 8.31726i | 0.552036i | 0.961152 | + | 0.276018i | \(0.0890149\pi\) | ||||
−0.961152 | + | 0.276018i | \(0.910985\pi\) | |||||||
\(228\) | 1.25148i | 0.0828816i | ||||||||
\(229\) | −9.18100 | −0.606697 | −0.303349 | − | 0.952880i | \(-0.598105\pi\) | ||||
−0.303349 | + | 0.952880i | \(0.598105\pi\) | |||||||
\(230\) | 0.354128 | + | 3.82845i | 0.0233505 | + | 0.252440i | ||||
\(231\) | −3.13052 | −0.205973 | ||||||||
\(232\) | − | 1.98253i | − | 0.130159i | ||||||
\(233\) | − | 27.6383i | − | 1.81064i | −0.424726 | − | 0.905322i | \(-0.639630\pi\) | ||
0.424726 | − | 0.905322i | \(-0.360370\pi\) | |||||||
\(234\) | −8.67243 | −0.566935 | ||||||||
\(235\) | 0.661431 | − | 0.0611819i | 0.0431470 | − | 0.00399106i | ||||
\(236\) | 0.202020 | 0.0131504 | ||||||||
\(237\) | − | 4.38872i | − | 0.285078i | ||||||
\(238\) | − | 19.6429i | − | 1.27326i | ||||||
\(239\) | 27.4665 | 1.77666 | 0.888329 | − | 0.459207i | \(-0.151866\pi\) | ||||
0.888329 | + | 0.459207i | \(0.151866\pi\) | |||||||
\(240\) | 0.692239 | − | 0.0640316i | 0.0446838 | − | 0.00413322i | ||||
\(241\) | 14.7606 | 0.950811 | 0.475406 | − | 0.879767i | \(-0.342301\pi\) | ||||
0.475406 | + | 0.879767i | \(0.342301\pi\) | |||||||
\(242\) | − | 6.06808i | − | 0.390071i | ||||||
\(243\) | 8.03660i | 0.515548i | ||||||||
\(244\) | 3.83397 | 0.245445 | ||||||||
\(245\) | −0.218256 | − | 2.35955i | −0.0139439 | − | 0.150746i | ||||
\(246\) | 2.53029 | 0.161325 | ||||||||
\(247\) | 12.0240i | 0.765066i | ||||||||
\(248\) | 6.12637i | 0.389025i | ||||||||
\(249\) | −1.11166 | −0.0704488 | ||||||||
\(250\) | 10.7550 | − | 3.05438i | 0.680208 | − | 0.193176i | ||||
\(251\) | 18.2732 | 1.15339 | 0.576697 | − | 0.816958i | \(-0.304341\pi\) | ||||
0.576697 | + | 0.816958i | \(0.304341\pi\) | |||||||
\(252\) | − | 7.07622i | − | 0.445760i | ||||||
\(253\) | − | 7.10363i | − | 0.446601i | ||||||
\(254\) | 13.5644 | 0.851104 | ||||||||
\(255\) | −0.516056 | − | 5.57903i | −0.0323167 | − | 0.349373i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 11.3712i | 0.709316i | 0.934996 | + | 0.354658i | \(0.115403\pi\) | ||||
−0.934996 | + | 0.354658i | \(0.884597\pi\) | |||||||
\(258\) | 0.310900i | 0.0193558i | ||||||||
\(259\) | 2.59010 | 0.160941 | ||||||||
\(260\) | 6.65086 | − | 0.615199i | 0.412469 | − | 0.0381530i | ||||
\(261\) | −5.75595 | −0.356284 | ||||||||
\(262\) | − | 9.56414i | − | 0.590874i | ||||||
\(263\) | 24.0201i | 1.48115i | 0.671976 | + | 0.740573i | \(0.265446\pi\) | ||||
−0.671976 | + | 0.740573i | \(0.734554\pi\) | |||||||
\(264\) | −1.28444 | −0.0790518 | ||||||||
\(265\) | 29.0098 | − | 2.68339i | 1.78206 | − | 0.164839i | ||||
\(266\) | −9.81087 | −0.601543 | ||||||||
\(267\) | − | 1.20748i | − | 0.0738965i | ||||||
\(268\) | − | 6.74414i | − | 0.411964i | ||||||
\(269\) | 16.4243 | 1.00141 | 0.500705 | − | 0.865618i | \(-0.333074\pi\) | ||||
0.500705 | + | 0.865618i | \(0.333074\pi\) | |||||||
\(270\) | −0.378000 | − | 4.08652i | −0.0230044 | − | 0.248698i | ||||
\(271\) | 8.62039 | 0.523651 | 0.261826 | − | 0.965115i | \(-0.415675\pi\) | ||||
0.261826 | + | 0.965115i | \(0.415675\pi\) | |||||||
\(272\) | − | 8.05940i | − | 0.488673i | ||||||
\(273\) | 2.26343i | 0.136989i | ||||||||
\(274\) | −4.55865 | −0.275398 | ||||||||
\(275\) | −20.3063 | + | 3.78905i | −1.22451 | + | 0.228488i | ||||
\(276\) | −0.534575 | −0.0321776 | ||||||||
\(277\) | − | 19.0215i | − | 1.14289i | −0.820640 | − | 0.571445i | \(-0.806383\pi\) | ||
0.820640 | − | 0.571445i | \(-0.193617\pi\) | |||||||
\(278\) | − | 7.54593i | − | 0.452575i | ||||||
\(279\) | 17.7869 | 1.06488 | ||||||||
\(280\) | 0.501968 | + | 5.42673i | 0.0299983 | + | 0.324309i | ||||
\(281\) | 8.50111 | 0.507134 | 0.253567 | − | 0.967318i | \(-0.418396\pi\) | ||||
0.253567 | + | 0.967318i | \(0.418396\pi\) | |||||||
\(282\) | 0.0923572i | 0.00549979i | ||||||||
\(283\) | 0.625941i | 0.0372083i | 0.999827 | + | 0.0186042i | \(0.00592223\pi\) | ||||
−0.999827 | + | 0.0186042i | \(0.994078\pi\) | |||||||
\(284\) | −5.40129 | −0.320508 | ||||||||
\(285\) | −2.78651 | + | 0.257750i | −0.165059 | + | 0.0152678i | ||||
\(286\) | −12.3406 | −0.729713 | ||||||||
\(287\) | 19.8359i | 1.17088i | ||||||||
\(288\) | − | 2.90334i | − | 0.171081i | ||||||
\(289\) | −47.9540 | −2.82082 | ||||||||
\(290\) | 4.41422 | − | 0.408312i | 0.259212 | − | 0.0239769i | ||||
\(291\) | −1.48534 | −0.0870723 | ||||||||
\(292\) | 1.14430i | 0.0669651i | ||||||||
\(293\) | − | 18.3657i | − | 1.07294i | −0.843920 | − | 0.536469i | \(-0.819758\pi\) | ||
0.843920 | − | 0.536469i | \(-0.180242\pi\) | |||||||
\(294\) | 0.329469 | 0.0192150 | ||||||||
\(295\) | 0.0416072 | + | 0.449811i | 0.00242246 | + | 0.0261890i | ||||
\(296\) | 1.06271 | 0.0617685 | ||||||||
\(297\) | 7.58248i | 0.439980i | ||||||||
\(298\) | 21.7726i | 1.26125i | ||||||||
\(299\) | −5.13607 | −0.297026 | ||||||||
\(300\) | 0.285141 | + | 1.52813i | 0.0164626 | + | 0.0882264i | ||||
\(301\) | −2.43727 | −0.140482 | ||||||||
\(302\) | 19.5939i | 1.12750i | ||||||||
\(303\) | − | 3.42480i | − | 0.196750i | ||||||
\(304\) | −4.02536 | −0.230870 | ||||||||
\(305\) | 0.789626 | + | 8.53657i | 0.0452138 | + | 0.488802i | ||||
\(306\) | −23.3992 | −1.33764 | ||||||||
\(307\) | − | 19.1117i | − | 1.09076i | −0.838187 | − | 0.545382i | \(-0.816385\pi\) | ||
0.838187 | − | 0.545382i | \(-0.183615\pi\) | |||||||
\(308\) | − | 10.0692i | − | 0.573747i | ||||||
\(309\) | 4.17735 | 0.237641 | ||||||||
\(310\) | −13.6407 | + | 1.26176i | −0.774742 | + | 0.0716630i | ||||
\(311\) | −13.5634 | −0.769109 | −0.384555 | − | 0.923102i | \(-0.625645\pi\) | ||||
−0.384555 | + | 0.923102i | \(0.625645\pi\) | |||||||
\(312\) | 0.928676i | 0.0525759i | ||||||||
\(313\) | 8.67192i | 0.490166i | 0.969502 | + | 0.245083i | \(0.0788152\pi\) | ||||
−0.969502 | + | 0.245083i | \(0.921185\pi\) | |||||||
\(314\) | 22.9383 | 1.29448 | ||||||||
\(315\) | 15.7556 | − | 1.45738i | 0.887730 | − | 0.0821143i | ||||
\(316\) | 14.1162 | 0.794096 | ||||||||
\(317\) | 2.05642i | 0.115500i | 0.998331 | + | 0.0577502i | \(0.0183927\pi\) | ||||
−0.998331 | + | 0.0577502i | \(0.981607\pi\) | |||||||
\(318\) | 4.05071i | 0.227153i | ||||||||
\(319\) | −8.19052 | −0.458581 | ||||||||
\(320\) | 0.205955 | + | 2.22656i | 0.0115132 | + | 0.124469i | ||||
\(321\) | −2.83189 | −0.158060 | ||||||||
\(322\) | − | 4.19074i | − | 0.233541i | ||||||
\(323\) | 32.4420i | 1.80512i | ||||||||
\(324\) | −8.13941 | −0.452190 | ||||||||
\(325\) | 2.73956 | + | 14.6819i | 0.151963 | + | 0.814403i | ||||
\(326\) | 8.37843 | 0.464038 | ||||||||
\(327\) | 1.62058i | 0.0896185i | ||||||||
\(328\) | 8.13859i | 0.449378i | ||||||||
\(329\) | −0.724024 | −0.0399167 | ||||||||
\(330\) | −0.264537 | − | 2.85988i | −0.0145623 | − | 0.157431i | ||||
\(331\) | −12.8369 | −0.705582 | −0.352791 | − | 0.935702i | \(-0.614767\pi\) | ||||
−0.352791 | + | 0.935702i | \(0.614767\pi\) | |||||||
\(332\) | − | 3.57563i | − | 0.196238i | ||||||
\(333\) | − | 3.08540i | − | 0.169079i | ||||||
\(334\) | −3.33004 | −0.182211 | ||||||||
\(335\) | 15.0163 | − | 1.38899i | 0.820426 | − | 0.0758887i | ||||
\(336\) | −0.757747 | −0.0413385 | ||||||||
\(337\) | − | 7.35752i | − | 0.400790i | −0.979715 | − | 0.200395i | \(-0.935777\pi\) | ||
0.979715 | − | 0.200395i | \(-0.0642225\pi\) | |||||||
\(338\) | − | 4.07752i | − | 0.221788i | ||||||
\(339\) | −2.21764 | −0.120446 | ||||||||
\(340\) | 17.9448 | − | 1.65988i | 0.973192 | − | 0.0900194i | ||||
\(341\) | 25.3102 | 1.37062 | ||||||||
\(342\) | 11.6870i | 0.631960i | ||||||||
\(343\) | 19.6437i | 1.06066i | ||||||||
\(344\) | −1.00000 | −0.0539164 | ||||||||
\(345\) | −0.110099 | − | 1.19027i | −0.00592751 | − | 0.0640817i | ||||
\(346\) | 11.3222 | 0.608686 | ||||||||
\(347\) | − | 15.1748i | − | 0.814625i | −0.913289 | − | 0.407313i | \(-0.866466\pi\) | ||
0.913289 | − | 0.407313i | \(-0.133534\pi\) | |||||||
\(348\) | 0.616368i | 0.0330408i | ||||||||
\(349\) | 19.7339 | 1.05633 | 0.528165 | − | 0.849142i | \(-0.322880\pi\) | ||||
0.528165 | + | 0.849142i | \(0.322880\pi\) | |||||||
\(350\) | −11.9796 | + | 2.23533i | −0.640335 | + | 0.119483i | ||||
\(351\) | 5.48229 | 0.292623 | ||||||||
\(352\) | − | 4.13135i | − | 0.220202i | ||||||
\(353\) | − | 1.61393i | − | 0.0859008i | −0.999077 | − | 0.0429504i | \(-0.986324\pi\) | ||
0.999077 | − | 0.0429504i | \(-0.0136757\pi\) | |||||||
\(354\) | −0.0628082 | −0.00333822 | ||||||||
\(355\) | −1.11242 | − | 12.0263i | −0.0590414 | − | 0.638291i | ||||
\(356\) | 3.88382 | 0.205842 | ||||||||
\(357\) | 6.10699i | 0.323216i | ||||||||
\(358\) | 24.3428i | 1.28656i | ||||||||
\(359\) | 35.5467 | 1.87608 | 0.938041 | − | 0.346523i | \(-0.112638\pi\) | ||||
0.938041 | + | 0.346523i | \(0.112638\pi\) | |||||||
\(360\) | 6.46447 | − | 0.597958i | 0.340708 | − | 0.0315152i | ||||
\(361\) | −2.79650 | −0.147184 | ||||||||
\(362\) | 16.3993i | 0.861929i | ||||||||
\(363\) | 1.88657i | 0.0990191i | ||||||||
\(364\) | −7.28025 | −0.381589 | ||||||||
\(365\) | −2.54786 | + | 0.235675i | −0.133361 | + | 0.0123358i | ||||
\(366\) | −1.19198 | −0.0623059 | ||||||||
\(367\) | 12.4912i | 0.652037i | 0.945363 | + | 0.326018i | \(0.105707\pi\) | ||||
−0.945363 | + | 0.326018i | \(0.894293\pi\) | |||||||
\(368\) | − | 1.71944i | − | 0.0896321i | ||||||
\(369\) | 23.6291 | 1.23008 | ||||||||
\(370\) | 0.218870 | + | 2.36618i | 0.0113785 | + | 0.123012i | ||||
\(371\) | −31.7551 | −1.64864 | ||||||||
\(372\) | − | 1.90469i | − | 0.0987536i | ||||||
\(373\) | − | 33.9833i | − | 1.75959i | −0.475356 | − | 0.879793i | \(-0.657681\pi\) | ||
0.475356 | − | 0.879793i | \(-0.342319\pi\) | |||||||
\(374\) | −33.2962 | −1.72171 | ||||||||
\(375\) | −3.34374 | + | 0.949609i | −0.172670 | + | 0.0490376i | ||||
\(376\) | −0.297064 | −0.0153199 | ||||||||
\(377\) | 5.92191i | 0.304994i | ||||||||
\(378\) | 4.47324i | 0.230079i | ||||||||
\(379\) | −32.5571 | −1.67235 | −0.836173 | − | 0.548466i | \(-0.815212\pi\) | ||||
−0.836173 | + | 0.548466i | \(0.815212\pi\) | |||||||
\(380\) | −0.829044 | − | 8.96271i | −0.0425290 | − | 0.459777i | ||||
\(381\) | −4.21716 | −0.216052 | ||||||||
\(382\) | − | 13.4739i | − | 0.689385i | ||||||
\(383\) | 24.3285i | 1.24313i | 0.783363 | + | 0.621565i | \(0.213503\pi\) | ||||
−0.783363 | + | 0.621565i | \(0.786497\pi\) | |||||||
\(384\) | −0.310900 | −0.0158656 | ||||||||
\(385\) | 22.4197 | − | 2.07381i | 1.14262 | − | 0.105691i | ||||
\(386\) | −23.0357 | −1.17249 | ||||||||
\(387\) | 2.90334i | 0.147585i | ||||||||
\(388\) | − | 4.77755i | − | 0.242543i | ||||||
\(389\) | 14.1473 | 0.717295 | 0.358647 | − | 0.933473i | \(-0.383238\pi\) | ||||
0.358647 | + | 0.933473i | \(0.383238\pi\) | |||||||
\(390\) | −2.06775 | + | 0.191266i | −0.104705 | + | 0.00968511i | ||||
\(391\) | −13.8577 | −0.700813 | ||||||||
\(392\) | 1.05973i | 0.0535242i | ||||||||
\(393\) | 2.97349i | 0.149993i | ||||||||
\(394\) | 14.9741 | 0.754383 | ||||||||
\(395\) | 2.90730 | + | 31.4305i | 0.146282 | + | 1.58144i | ||||
\(396\) | −11.9947 | −0.602758 | ||||||||
\(397\) | − | 8.97099i | − | 0.450241i | −0.974331 | − | 0.225121i | \(-0.927722\pi\) | ||
0.974331 | − | 0.225121i | \(-0.0722776\pi\) | |||||||
\(398\) | 9.81530i | 0.491997i | ||||||||
\(399\) | 3.05020 | 0.152701 | ||||||||
\(400\) | −4.91516 | + | 0.917145i | −0.245758 | + | 0.0458572i | ||||
\(401\) | −12.9434 | −0.646364 | −0.323182 | − | 0.946337i | \(-0.604753\pi\) | ||||
−0.323182 | + | 0.946337i | \(0.604753\pi\) | |||||||
\(402\) | 2.09676i | 0.104577i | ||||||||
\(403\) | − | 18.2998i | − | 0.911577i | ||||||
\(404\) | 11.0158 | 0.548055 | ||||||||
\(405\) | −1.67635 | − | 18.1229i | −0.0832987 | − | 0.900535i | ||||
\(406\) | −4.83195 | −0.239806 | ||||||||
\(407\) | − | 4.39041i | − | 0.217625i | ||||||
\(408\) | 2.50567i | 0.124049i | ||||||||
\(409\) | 29.6250 | 1.46486 | 0.732430 | − | 0.680842i | \(-0.238386\pi\) | ||||
0.732430 | + | 0.680842i | \(0.238386\pi\) | |||||||
\(410\) | −18.1211 | + | 1.67619i | −0.894936 | + | 0.0827809i | ||||
\(411\) | 1.41729 | 0.0699095 | ||||||||
\(412\) | 13.4363i | 0.661959i | ||||||||
\(413\) | − | 0.492378i | − | 0.0242283i | ||||||
\(414\) | −4.99213 | −0.245350 | ||||||||
\(415\) | 7.96136 | − | 0.736419i | 0.390808 | − | 0.0361494i | ||||
\(416\) | −2.98705 | −0.146452 | ||||||||
\(417\) | 2.34603i | 0.114886i | ||||||||
\(418\) | 16.6302i | 0.813408i | ||||||||
\(419\) | 32.7955 | 1.60216 | 0.801082 | − | 0.598555i | \(-0.204258\pi\) | ||||
0.801082 | + | 0.598555i | \(0.204258\pi\) | |||||||
\(420\) | −0.156062 | − | 1.68717i | −0.00761505 | − | 0.0823256i | ||||
\(421\) | −23.4820 | −1.14444 | −0.572222 | − | 0.820099i | \(-0.693918\pi\) | ||||
−0.572222 | + | 0.820099i | \(0.693918\pi\) | |||||||
\(422\) | − | 18.1730i | − | 0.884646i | ||||||
\(423\) | 0.862477i | 0.0419351i | ||||||||
\(424\) | −13.0290 | −0.632743 | ||||||||
\(425\) | 7.39164 | + | 39.6133i | 0.358547 | + | 1.92153i | ||||
\(426\) | 1.67926 | 0.0813606 | ||||||||
\(427\) | − | 9.34440i | − | 0.452207i | ||||||
\(428\) | − | 9.10866i | − | 0.440284i | ||||||
\(429\) | 3.83669 | 0.185237 | ||||||||
\(430\) | −0.205955 | − | 2.22656i | −0.00993204 | − | 0.107374i | ||||
\(431\) | −22.5348 | −1.08547 | −0.542733 | − | 0.839906i | \(-0.682610\pi\) | ||||
−0.542733 | + | 0.839906i | \(0.682610\pi\) | |||||||
\(432\) | 1.83535i | 0.0883033i | ||||||||
\(433\) | 32.3968i | 1.55689i | 0.627711 | + | 0.778446i | \(0.283992\pi\) | ||||
−0.627711 | + | 0.778446i | \(0.716008\pi\) | |||||||
\(434\) | 14.9316 | 0.716740 | ||||||||
\(435\) | −1.37238 | + | 0.126944i | −0.0658007 | + | 0.00608651i | ||||
\(436\) | −5.21255 | −0.249636 | ||||||||
\(437\) | 6.92137i | 0.331094i | ||||||||
\(438\) | − | 0.355763i | − | 0.0169990i | ||||||
\(439\) | −27.9756 | −1.33520 | −0.667601 | − | 0.744520i | \(-0.732679\pi\) | ||||
−0.667601 | + | 0.744520i | \(0.732679\pi\) | |||||||
\(440\) | 9.19872 | − | 0.850874i | 0.438532 | − | 0.0405638i | ||||
\(441\) | 3.07674 | 0.146512 | ||||||||
\(442\) | 24.0739i | 1.14508i | ||||||||
\(443\) | − | 22.2234i | − | 1.05586i | −0.849287 | − | 0.527932i | \(-0.822968\pi\) | ||
0.849287 | − | 0.527932i | \(-0.177032\pi\) | |||||||
\(444\) | −0.330396 | −0.0156799 | ||||||||
\(445\) | 0.799892 | + | 8.64756i | 0.0379185 | + | 0.409934i | ||||
\(446\) | −10.2007 | −0.483015 | ||||||||
\(447\) | − | 6.76911i | − | 0.320168i | ||||||
\(448\) | − | 2.43727i | − | 0.115150i | ||||||
\(449\) | 28.9309 | 1.36533 | 0.682666 | − | 0.730731i | \(-0.260820\pi\) | ||||
0.682666 | + | 0.730731i | \(0.260820\pi\) | |||||||
\(450\) | 2.66278 | + | 14.2704i | 0.125525 | + | 0.672713i | ||||
\(451\) | 33.6234 | 1.58326 | ||||||||
\(452\) | − | 7.13297i | − | 0.335507i | ||||||
\(453\) | − | 6.09176i | − | 0.286216i | ||||||
\(454\) | 8.31726 | 0.390348 | ||||||||
\(455\) | −1.49941 | − | 16.2099i | −0.0702932 | − | 0.759933i | ||||
\(456\) | 1.25148 | 0.0586061 | ||||||||
\(457\) | 8.37745i | 0.391881i | 0.980616 | + | 0.195940i | \(0.0627759\pi\) | ||||
−0.980616 | + | 0.195940i | \(0.937224\pi\) | |||||||
\(458\) | 9.18100i | 0.429000i | ||||||||
\(459\) | 14.7918 | 0.690423 | ||||||||
\(460\) | 3.82845 | − | 0.354128i | 0.178502 | − | 0.0165113i | ||||
\(461\) | −31.0950 | −1.44824 | −0.724118 | − | 0.689676i | \(-0.757753\pi\) | ||||
−0.724118 | + | 0.689676i | \(0.757753\pi\) | |||||||
\(462\) | 3.13052i | 0.145645i | ||||||||
\(463\) | 23.8818i | 1.10988i | 0.831890 | + | 0.554940i | \(0.187259\pi\) | ||||
−0.831890 | + | 0.554940i | \(0.812741\pi\) | |||||||
\(464\) | −1.98253 | −0.0920365 | ||||||||
\(465\) | 4.24091 | − | 0.392281i | 0.196668 | − | 0.0181916i | ||||
\(466\) | −27.6383 | −1.28032 | ||||||||
\(467\) | − | 12.5709i | − | 0.581712i | −0.956767 | − | 0.290856i | \(-0.906060\pi\) | ||
0.956767 | − | 0.290856i | \(-0.0939401\pi\) | |||||||
\(468\) | 8.67243i | 0.400883i | ||||||||
\(469\) | −16.4373 | −0.759003 | ||||||||
\(470\) | −0.0611819 | − | 0.661431i | −0.00282211 | − | 0.0305095i | ||||
\(471\) | −7.13151 | −0.328603 | ||||||||
\(472\) | − | 0.202020i | − | 0.00929874i | ||||||
\(473\) | 4.13135i | 0.189960i | ||||||||
\(474\) | −4.38872 | −0.201581 | ||||||||
\(475\) | 19.7853 | − | 3.69184i | 0.907812 | − | 0.169393i | ||||
\(476\) | −19.6429 | −0.900332 | ||||||||
\(477\) | 37.8276i | 1.73201i | ||||||||
\(478\) | − | 27.4665i | − | 1.25629i | ||||||
\(479\) | −35.0874 | −1.60318 | −0.801592 | − | 0.597872i | \(-0.796013\pi\) | ||||
−0.801592 | + | 0.597872i | \(0.796013\pi\) | |||||||
\(480\) | −0.0640316 | − | 0.692239i | −0.00292263 | − | 0.0315962i | ||||
\(481\) | −3.17436 | −0.144738 | ||||||||
\(482\) | − | 14.7606i | − | 0.672325i | ||||||
\(483\) | 1.30290i | 0.0592841i | ||||||||
\(484\) | −6.06808 | −0.275822 | ||||||||
\(485\) | 10.6375 | − | 0.983962i | 0.483025 | − | 0.0446794i | ||||
\(486\) | 8.03660 | 0.364547 | ||||||||
\(487\) | 27.9557i | 1.26680i | 0.773826 | + | 0.633398i | \(0.218340\pi\) | ||||
−0.773826 | + | 0.633398i | \(0.781660\pi\) | |||||||
\(488\) | − | 3.83397i | − | 0.173556i | ||||||
\(489\) | −2.60486 | −0.117796 | ||||||||
\(490\) | −2.35955 | + | 0.218256i | −0.106593 | + | 0.00985980i | ||||
\(491\) | −32.2993 | −1.45765 | −0.728825 | − | 0.684701i | \(-0.759933\pi\) | ||||
−0.728825 | + | 0.684701i | \(0.759933\pi\) | |||||||
\(492\) | − | 2.53029i | − | 0.114074i | ||||||
\(493\) | 15.9780i | 0.719612i | ||||||||
\(494\) | 12.0240 | 0.540983 | ||||||||
\(495\) | −2.47038 | − | 26.7070i | −0.111035 | − | 1.20039i | ||||
\(496\) | 6.12637 | 0.275082 | ||||||||
\(497\) | 13.1644i | 0.590504i | ||||||||
\(498\) | 1.11166i | 0.0498148i | ||||||||
\(499\) | −4.72254 | −0.211410 | −0.105705 | − | 0.994398i | \(-0.533710\pi\) | ||||
−0.105705 | + | 0.994398i | \(0.533710\pi\) | |||||||
\(500\) | −3.05438 | − | 10.7550i | −0.136596 | − | 0.480980i | ||||
\(501\) | 1.03531 | 0.0462542 | ||||||||
\(502\) | − | 18.2732i | − | 0.815572i | ||||||
\(503\) | − | 18.7440i | − | 0.835756i | −0.908503 | − | 0.417878i | \(-0.862774\pi\) | ||
0.908503 | − | 0.417878i | \(-0.137226\pi\) | |||||||
\(504\) | −7.07622 | −0.315200 | ||||||||
\(505\) | 2.26875 | + | 24.5273i | 0.100958 | + | 1.09145i | ||||
\(506\) | −7.10363 | −0.315795 | ||||||||
\(507\) | 1.26770i | 0.0563006i | ||||||||
\(508\) | − | 13.5644i | − | 0.601821i | ||||||
\(509\) | −23.0651 | −1.02234 | −0.511172 | − | 0.859478i | \(-0.670789\pi\) | ||||
−0.511172 | + | 0.859478i | \(0.670789\pi\) | |||||||
\(510\) | −5.57903 | + | 0.516056i | −0.247044 | + | 0.0228513i | ||||
\(511\) | 2.78897 | 0.123377 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | − | 7.38794i | − | 0.326186i | ||||||
\(514\) | 11.3712 | 0.501562 | ||||||||
\(515\) | −29.9168 | + | 2.76728i | −1.31829 | + | 0.121941i | ||||
\(516\) | 0.310900 | 0.0136866 | ||||||||
\(517\) | 1.22728i | 0.0539755i | ||||||||
\(518\) | − | 2.59010i | − | 0.113802i | ||||||
\(519\) | −3.52008 | −0.154514 | ||||||||
\(520\) | −0.615199 | − | 6.65086i | −0.0269783 | − | 0.291660i | ||||
\(521\) | 28.8139 | 1.26236 | 0.631179 | − | 0.775637i | \(-0.282571\pi\) | ||||
0.631179 | + | 0.775637i | \(0.282571\pi\) | |||||||
\(522\) | 5.75595i | 0.251931i | ||||||||
\(523\) | 40.0402i | 1.75084i | 0.483365 | + | 0.875419i | \(0.339414\pi\) | ||||
−0.483365 | + | 0.875419i | \(0.660586\pi\) | |||||||
\(524\) | −9.56414 | −0.417811 | ||||||||
\(525\) | 3.72445 | − | 0.694964i | 0.162548 | − | 0.0303307i | ||||
\(526\) | 24.0201 | 1.04733 | ||||||||
\(527\) | − | 49.3749i | − | 2.15080i | ||||||
\(528\) | 1.28444i | 0.0558980i | ||||||||
\(529\) | 20.0435 | 0.871457 | ||||||||
\(530\) | −2.68339 | − | 29.0098i | −0.116559 | − | 1.26011i | ||||
\(531\) | −0.586534 | −0.0254534 | ||||||||
\(532\) | 9.81087i | 0.425355i | ||||||||
\(533\) | − | 24.3104i | − | 1.05300i | ||||||
\(534\) | −1.20748 | −0.0522527 | ||||||||
\(535\) | 20.2810 | − | 1.87598i | 0.876824 | − | 0.0811055i | ||||
\(536\) | −6.74414 | −0.291303 | ||||||||
\(537\) | − | 7.56818i | − | 0.326591i | ||||||
\(538\) | − | 16.4243i | − | 0.708103i | ||||||
\(539\) | 4.37810 | 0.188578 | ||||||||
\(540\) | −4.08652 | + | 0.378000i | −0.175856 | + | 0.0162665i | ||||
\(541\) | 10.4699 | 0.450135 | 0.225068 | − | 0.974343i | \(-0.427740\pi\) | ||||
0.225068 | + | 0.974343i | \(0.427740\pi\) | |||||||
\(542\) | − | 8.62039i | − | 0.370277i | ||||||
\(543\) | − | 5.09855i | − | 0.218800i | ||||||
\(544\) | −8.05940 | −0.345544 | ||||||||
\(545\) | −1.07355 | − | 11.6061i | −0.0459860 | − | 0.497150i | ||||
\(546\) | 2.26343 | 0.0968659 | ||||||||
\(547\) | 29.4519i | 1.25927i | 0.776890 | + | 0.629636i | \(0.216796\pi\) | ||||
−0.776890 | + | 0.629636i | \(0.783204\pi\) | |||||||
\(548\) | 4.55865i | 0.194736i | ||||||||
\(549\) | −11.1313 | −0.475073 | ||||||||
\(550\) | 3.78905 | + | 20.3063i | 0.161566 | + | 0.865863i | ||||
\(551\) | 7.98038 | 0.339975 | ||||||||
\(552\) | 0.534575i | 0.0227530i | ||||||||
\(553\) | − | 34.4049i | − | 1.46304i | ||||||
\(554\) | −19.0215 | −0.808146 | ||||||||
\(555\) | −0.0680467 | − | 0.735646i | −0.00288842 | − | 0.0312264i | ||||
\(556\) | −7.54593 | −0.320019 | ||||||||
\(557\) | − | 24.6080i | − | 1.04267i | −0.853351 | − | 0.521336i | \(-0.825434\pi\) | ||
0.853351 | − | 0.521336i | \(-0.174566\pi\) | |||||||
\(558\) | − | 17.7869i | − | 0.752981i | ||||||
\(559\) | 2.98705 | 0.126339 | ||||||||
\(560\) | 5.42673 | − | 0.501968i | 0.229321 | − | 0.0212120i | ||||
\(561\) | 10.3518 | 0.437054 | ||||||||
\(562\) | − | 8.50111i | − | 0.358598i | ||||||
\(563\) | − | 1.51341i | − | 0.0637827i | −0.999491 | − | 0.0318913i | \(-0.989847\pi\) | ||
0.999491 | − | 0.0318913i | \(-0.0101531\pi\) | |||||||
\(564\) | 0.0923572 | 0.00388894 | ||||||||
\(565\) | 15.8820 | − | 1.46907i | 0.668161 | − | 0.0618044i | ||||
\(566\) | 0.625941 | 0.0263102 | ||||||||
\(567\) | 19.8379i | 0.833115i | ||||||||
\(568\) | 5.40129i | 0.226633i | ||||||||
\(569\) | 23.5587 | 0.987632 | 0.493816 | − | 0.869566i | \(-0.335602\pi\) | ||||
0.493816 | + | 0.869566i | \(0.335602\pi\) | |||||||
\(570\) | 0.257750 | + | 2.78651i | 0.0107960 | + | 0.116714i | ||||
\(571\) | 21.0235 | 0.879806 | 0.439903 | − | 0.898045i | \(-0.355013\pi\) | ||||
0.439903 | + | 0.898045i | \(0.355013\pi\) | |||||||
\(572\) | 12.3406i | 0.515985i | ||||||||
\(573\) | 4.18904i | 0.175000i | ||||||||
\(574\) | 19.8359 | 0.827935 | ||||||||
\(575\) | 1.57698 | + | 8.45134i | 0.0657645 | + | 0.352445i | ||||
\(576\) | −2.90334 | −0.120973 | ||||||||
\(577\) | 16.8486i | 0.701417i | 0.936485 | + | 0.350708i | \(0.114059\pi\) | ||||
−0.936485 | + | 0.350708i | \(0.885941\pi\) | |||||||
\(578\) | 47.9540i | 1.99462i | ||||||||
\(579\) | 7.16180 | 0.297634 | ||||||||
\(580\) | −0.408312 | − | 4.41422i | −0.0169542 | − | 0.183290i | ||||
\(581\) | −8.71476 | −0.361549 | ||||||||
\(582\) | 1.48534i | 0.0615694i | ||||||||
\(583\) | 53.8273i | 2.22930i | ||||||||
\(584\) | 1.14430 | 0.0473515 | ||||||||
\(585\) | −19.3097 | + | 1.78613i | −0.798359 | + | 0.0738475i | ||||
\(586\) | −18.3657 | −0.758682 | ||||||||
\(587\) | − | 35.6890i | − | 1.47304i | −0.676415 | − | 0.736520i | \(-0.736468\pi\) | ||
0.676415 | − | 0.736520i | \(-0.263532\pi\) | |||||||
\(588\) | − | 0.329469i | − | 0.0135871i | ||||||
\(589\) | −24.6608 | −1.01613 | ||||||||
\(590\) | 0.449811 | − | 0.0416072i | 0.0185184 | − | 0.00171294i | ||||
\(591\) | −4.65544 | −0.191499 | ||||||||
\(592\) | − | 1.06271i | − | 0.0436769i | ||||||
\(593\) | − | 20.0945i | − | 0.825183i | −0.910916 | − | 0.412592i | \(-0.864624\pi\) | ||
0.910916 | − | 0.412592i | \(-0.135376\pi\) | |||||||
\(594\) | 7.58248 | 0.311113 | ||||||||
\(595\) | −4.04556 | − | 43.7362i | −0.165852 | − | 1.79301i | ||||
\(596\) | 21.7726 | 0.891840 | ||||||||
\(597\) | − | 3.05158i | − | 0.124893i | ||||||
\(598\) | 5.13607i | 0.210029i | ||||||||
\(599\) | 33.8395 | 1.38265 | 0.691323 | − | 0.722546i | \(-0.257028\pi\) | ||||
0.691323 | + | 0.722546i | \(0.257028\pi\) | |||||||
\(600\) | 1.52813 | − | 0.285141i | 0.0623855 | − | 0.0116408i | ||||
\(601\) | −8.30285 | −0.338680 | −0.169340 | − | 0.985558i | \(-0.554164\pi\) | ||||
−0.169340 | + | 0.985558i | \(0.554164\pi\) | |||||||
\(602\) | 2.43727i | 0.0993356i | ||||||||
\(603\) | 19.5805i | 0.797381i | ||||||||
\(604\) | 19.5939 | 0.797266 | ||||||||
\(605\) | −1.24975 | − | 13.5110i | −0.0508097 | − | 0.549299i | ||||
\(606\) | −3.42480 | −0.139123 | ||||||||
\(607\) | − | 35.6949i | − | 1.44881i | −0.689375 | − | 0.724405i | \(-0.742115\pi\) | ||
0.689375 | − | 0.724405i | \(-0.257885\pi\) | |||||||
\(608\) | 4.02536i | 0.163250i | ||||||||
\(609\) | 1.50225 | 0.0608744 | ||||||||
\(610\) | 8.53657 | − | 0.789626i | 0.345636 | − | 0.0319710i | ||||
\(611\) | 0.887345 | 0.0358981 | ||||||||
\(612\) | 23.3992i | 0.945856i | ||||||||
\(613\) | 19.3991i | 0.783521i | 0.920067 | + | 0.391761i | \(0.128134\pi\) | ||||
−0.920067 | + | 0.391761i | \(0.871866\pi\) | |||||||
\(614\) | −19.1117 | −0.771287 | ||||||||
\(615\) | 5.63385 | − | 0.521126i | 0.227179 | − | 0.0210138i | ||||
\(616\) | −10.0692 | −0.405700 | ||||||||
\(617\) | − | 20.5855i | − | 0.828740i | −0.910109 | − | 0.414370i | \(-0.864002\pi\) | ||
0.910109 | − | 0.414370i | \(-0.135998\pi\) | |||||||
\(618\) | − | 4.17735i | − | 0.168038i | ||||||
\(619\) | −22.3584 | −0.898658 | −0.449329 | − | 0.893366i | \(-0.648337\pi\) | ||||
−0.449329 | + | 0.893366i | \(0.648337\pi\) | |||||||
\(620\) | 1.26176 | + | 13.6407i | 0.0506734 | + | 0.547825i | ||||
\(621\) | 3.15578 | 0.126637 | ||||||||
\(622\) | 13.5634i | 0.543842i | ||||||||
\(623\) | − | 9.46590i | − | 0.379243i | ||||||
\(624\) | 0.928676 | 0.0371768 | ||||||||
\(625\) | 23.3177 | − | 9.01584i | 0.932708 | − | 0.360633i | ||||
\(626\) | 8.67192 | 0.346600 | ||||||||
\(627\) | − | 5.17033i | − | 0.206483i | ||||||
\(628\) | − | 22.9383i | − | 0.915336i | ||||||
\(629\) | −8.56477 | −0.341500 | ||||||||
\(630\) | −1.45738 | − | 15.7556i | −0.0580636 | − | 0.627720i | ||||
\(631\) | −44.3248 | −1.76454 | −0.882272 | − | 0.470741i | \(-0.843987\pi\) | ||||
−0.882272 | + | 0.470741i | \(0.843987\pi\) | |||||||
\(632\) | − | 14.1162i | − | 0.561511i | ||||||
\(633\) | 5.64998i | 0.224567i | ||||||||
\(634\) | 2.05642 | 0.0816710 | ||||||||
\(635\) | 30.2019 | − | 2.79365i | 1.19853 | − | 0.110863i | ||||
\(636\) | 4.05071 | 0.160621 | ||||||||
\(637\) | − | 3.16546i | − | 0.125420i | ||||||
\(638\) | 8.19052i | 0.324266i | ||||||||
\(639\) | 15.6818 | 0.620362 | ||||||||
\(640\) | 2.22656 | − | 0.205955i | 0.0880126 | − | 0.00814110i | ||||
\(641\) | 6.51143 | 0.257186 | 0.128593 | − | 0.991697i | \(-0.458954\pi\) | ||||
0.128593 | + | 0.991697i | \(0.458954\pi\) | |||||||
\(642\) | 2.83189i | 0.111766i | ||||||||
\(643\) | − | 18.2114i | − | 0.718188i | −0.933301 | − | 0.359094i | \(-0.883086\pi\) | ||
0.933301 | − | 0.359094i | \(-0.116914\pi\) | |||||||
\(644\) | −4.19074 | −0.165138 | ||||||||
\(645\) | 0.0640316 | + | 0.692239i | 0.00252124 | + | 0.0272569i | ||||
\(646\) | 32.4420 | 1.27641 | ||||||||
\(647\) | − | 5.41794i | − | 0.213001i | −0.994313 | − | 0.106501i | \(-0.966035\pi\) | ||
0.994313 | − | 0.106501i | \(-0.0339646\pi\) | |||||||
\(648\) | 8.13941i | 0.319746i | ||||||||
\(649\) | −0.834618 | −0.0327616 | ||||||||
\(650\) | 14.6819 | − | 2.73956i | 0.575870 | − | 0.107454i | ||||
\(651\) | −4.64224 | −0.181944 | ||||||||
\(652\) | − | 8.37843i | − | 0.328125i | ||||||
\(653\) | − | 23.9437i | − | 0.936991i | −0.883466 | − | 0.468495i | \(-0.844796\pi\) | ||
0.883466 | − | 0.468495i | \(-0.155204\pi\) | |||||||
\(654\) | 1.62058 | 0.0633699 | ||||||||
\(655\) | −1.96978 | − | 21.2952i | −0.0769658 | − | 0.832070i | ||||
\(656\) | 8.13859 | 0.317758 | ||||||||
\(657\) | − | 3.32229i | − | 0.129615i | ||||||
\(658\) | 0.724024i | 0.0282254i | ||||||||
\(659\) | 39.0606 | 1.52159 | 0.760793 | − | 0.648995i | \(-0.224810\pi\) | ||||
0.760793 | + | 0.648995i | \(0.224810\pi\) | |||||||
\(660\) | −2.85988 | + | 0.264537i | −0.111321 | + | 0.0102971i | ||||
\(661\) | 17.9891 | 0.699697 | 0.349848 | − | 0.936806i | \(-0.386233\pi\) | ||||
0.349848 | + | 0.936806i | \(0.386233\pi\) | |||||||
\(662\) | 12.8369i | 0.498922i | ||||||||
\(663\) | − | 7.48457i | − | 0.290677i | ||||||
\(664\) | −3.57563 | −0.138761 | ||||||||
\(665\) | −21.8445 | + | 2.02060i | −0.847094 | + | 0.0783556i | ||||
\(666\) | −3.08540 | −0.119557 | ||||||||
\(667\) | 3.40884i | 0.131991i | ||||||||
\(668\) | 3.33004i | 0.128843i | ||||||||
\(669\) | 3.17139 | 0.122613 | ||||||||
\(670\) | −1.38899 | − | 15.0163i | −0.0536614 | − | 0.580129i | ||||
\(671\) | −15.8395 | −0.611476 | ||||||||
\(672\) | 0.757747i | 0.0292307i | ||||||||
\(673\) | 22.2081i | 0.856060i | 0.903765 | + | 0.428030i | \(0.140792\pi\) | ||||
−0.903765 | + | 0.428030i | \(0.859208\pi\) | |||||||
\(674\) | −7.35752 | −0.283401 | ||||||||
\(675\) | −1.68328 | − | 9.02105i | −0.0647896 | − | 0.347220i | ||||
\(676\) | −4.07752 | −0.156828 | ||||||||
\(677\) | − | 13.2511i | − | 0.509281i | −0.967036 | − | 0.254641i | \(-0.918043\pi\) | ||
0.967036 | − | 0.254641i | \(-0.0819571\pi\) | |||||||
\(678\) | 2.21764i | 0.0851681i | ||||||||
\(679\) | −11.6442 | −0.446862 | ||||||||
\(680\) | −1.65988 | − | 17.9448i | −0.0636534 | − | 0.688150i | ||||
\(681\) | −2.58584 | −0.0990895 | ||||||||
\(682\) | − | 25.3102i | − | 0.969177i | ||||||
\(683\) | 1.49181i | 0.0570824i | 0.999593 | + | 0.0285412i | \(0.00908619\pi\) | ||||
−0.999593 | + | 0.0285412i | \(0.990914\pi\) | |||||||
\(684\) | 11.6870 | 0.446863 | ||||||||
\(685\) | −10.1501 | + | 0.938878i | −0.387816 | + | 0.0358727i | ||||
\(686\) | 19.6437 | 0.750000 | ||||||||
\(687\) | − | 2.85438i | − | 0.108901i | ||||||
\(688\) | 1.00000i | 0.0381246i | ||||||||
\(689\) | 38.9183 | 1.48267 | ||||||||
\(690\) | −1.19027 | + | 0.110099i | −0.0453126 | + | 0.00419138i | ||||
\(691\) | −8.35760 | −0.317938 | −0.158969 | − | 0.987284i | \(-0.550817\pi\) | ||||
−0.158969 | + | 0.987284i | \(0.550817\pi\) | |||||||
\(692\) | − | 11.3222i | − | 0.430406i | ||||||
\(693\) | 29.2344i | 1.11052i | ||||||||
\(694\) | −15.1748 | −0.576027 | ||||||||
\(695\) | −1.55412 | − | 16.8015i | −0.0589513 | − | 0.637317i | ||||
\(696\) | 0.616368 | 0.0233634 | ||||||||
\(697\) | − | 65.5922i | − | 2.48448i | ||||||
\(698\) | − | 19.7339i | − | 0.746938i | ||||||
\(699\) | 8.59275 | 0.325008 | ||||||||
\(700\) | 2.23533 | + | 11.9796i | 0.0844874 | + | 0.452785i | ||||
\(701\) | 2.12161 | 0.0801320 | 0.0400660 | − | 0.999197i | \(-0.487243\pi\) | ||||
0.0400660 | + | 0.999197i | \(0.487243\pi\) | |||||||
\(702\) | − | 5.48229i | − | 0.206916i | ||||||
\(703\) | 4.27777i | 0.161339i | ||||||||
\(704\) | −4.13135 | −0.155706 | ||||||||
\(705\) | 0.0190215 | + | 0.205639i | 0.000716389 | + | 0.00774482i | ||||
\(706\) | −1.61393 | −0.0607410 | ||||||||
\(707\) | − | 26.8484i | − | 1.00974i | ||||||
\(708\) | 0.0628082i | 0.00236048i | ||||||||
\(709\) | 15.6154 | 0.586449 | 0.293224 | − | 0.956044i | \(-0.405272\pi\) | ||||
0.293224 | + | 0.956044i | \(0.405272\pi\) | |||||||
\(710\) | −12.0263 | + | 1.11242i | −0.451340 | + | 0.0417486i | ||||
\(711\) | −40.9840 | −1.53702 | ||||||||
\(712\) | − | 3.88382i | − | 0.145552i | ||||||
\(713\) | − | 10.5339i | − | 0.394499i | ||||||
\(714\) | 6.10699 | 0.228548 | ||||||||
\(715\) | −27.4771 | + | 2.54161i | −1.02758 | + | 0.0950506i | ||||
\(716\) | 24.3428 | 0.909733 | ||||||||
\(717\) | 8.53934i | 0.318907i | ||||||||
\(718\) | − | 35.5467i | − | 1.32659i | ||||||
\(719\) | −36.6123 | −1.36541 | −0.682704 | − | 0.730695i | \(-0.739196\pi\) | ||||
−0.682704 | + | 0.730695i | \(0.739196\pi\) | |||||||
\(720\) | −0.597958 | − | 6.46447i | −0.0222846 | − | 0.240917i | ||||
\(721\) | 32.7479 | 1.21959 | ||||||||
\(722\) | 2.79650i | 0.104075i | ||||||||
\(723\) | 4.58906i | 0.170669i | ||||||||
\(724\) | 16.3993 | 0.609476 | ||||||||
\(725\) | 9.74444 | − | 1.81826i | 0.361900 | − | 0.0675286i | ||||
\(726\) | 1.88657 | 0.0700171 | ||||||||
\(727\) | − | 5.61669i | − | 0.208311i | −0.994561 | − | 0.104156i | \(-0.966786\pi\) | ||
0.994561 | − | 0.104156i | \(-0.0332140\pi\) | |||||||
\(728\) | 7.28025i | 0.269824i | ||||||||
\(729\) | 21.9197 | 0.811839 | ||||||||
\(730\) | 0.235675 | + | 2.54786i | 0.00872271 | + | 0.0943004i | ||||
\(731\) | 8.05940 | 0.298088 | ||||||||
\(732\) | 1.19198i | 0.0440569i | ||||||||
\(733\) | − | 25.8014i | − | 0.952996i | −0.879176 | − | 0.476498i | \(-0.841906\pi\) | ||
0.879176 | − | 0.476498i | \(-0.158094\pi\) | |||||||
\(734\) | 12.4912 | 0.461060 | ||||||||
\(735\) | 0.733584 | − | 0.0678559i | 0.0270586 | − | 0.00250290i | ||||
\(736\) | −1.71944 | −0.0633795 | ||||||||
\(737\) | 27.8624i | 1.02633i | ||||||||
\(738\) | − | 23.6291i | − | 0.869799i | ||||||
\(739\) | −2.26414 | −0.0832876 | −0.0416438 | − | 0.999133i | \(-0.513259\pi\) | ||||
−0.0416438 | + | 0.999133i | \(0.513259\pi\) | |||||||
\(740\) | 2.36618 | − | 0.218870i | 0.0869825 | − | 0.00804581i | ||||
\(741\) | −3.73825 | −0.137328 | ||||||||
\(742\) | 31.7551i | 1.16577i | ||||||||
\(743\) | 10.9589i | 0.402043i | 0.979587 | + | 0.201022i | \(0.0644262\pi\) | ||||
−0.979587 | + | 0.201022i | \(0.935574\pi\) | |||||||
\(744\) | −1.90469 | −0.0698293 | ||||||||
\(745\) | 4.48418 | + | 48.4780i | 0.164288 | + | 1.77610i | ||||
\(746\) | −33.9833 | −1.24422 | ||||||||
\(747\) | 10.3813i | 0.379831i | ||||||||
\(748\) | 33.2962i | 1.21743i | ||||||||
\(749\) | −22.2002 | −0.811179 | ||||||||
\(750\) | 0.949609 | + | 3.34374i | 0.0346748 | + | 0.122096i | ||||
\(751\) | −15.7669 | −0.575341 | −0.287670 | − | 0.957729i | \(-0.592881\pi\) | ||||
−0.287670 | + | 0.957729i | \(0.592881\pi\) | |||||||
\(752\) | 0.297064i | 0.0108328i | ||||||||
\(753\) | 5.68114i | 0.207032i | ||||||||
\(754\) | 5.92191 | 0.215663 | ||||||||
\(755\) | 4.03547 | + | 43.6271i | 0.146866 | + | 1.58775i | ||||
\(756\) | 4.47324 | 0.162690 | ||||||||
\(757\) | 4.38490i | 0.159372i | 0.996820 | + | 0.0796859i | \(0.0253917\pi\) | ||||
−0.996820 | + | 0.0796859i | \(0.974608\pi\) | |||||||
\(758\) | 32.5571i | 1.18253i | ||||||||
\(759\) | 2.20852 | 0.0801642 | ||||||||
\(760\) | −8.96271 | + | 0.829044i | −0.325112 | + | 0.0300726i | ||||
\(761\) | −26.1935 | −0.949514 | −0.474757 | − | 0.880117i | \(-0.657464\pi\) | ||||
−0.474757 | + | 0.880117i | \(0.657464\pi\) | |||||||
\(762\) | 4.21716i | 0.152772i | ||||||||
\(763\) | 12.7044i | 0.459930i | ||||||||
\(764\) | −13.4739 | −0.487469 | ||||||||
\(765\) | −52.0998 | + | 4.81919i | −1.88367 | + | 0.174238i | ||||
\(766\) | 24.3285 | 0.879025 | ||||||||
\(767\) | 0.603446i | 0.0217892i | ||||||||
\(768\) | 0.310900i | 0.0112186i | ||||||||
\(769\) | −31.8802 | −1.14963 | −0.574815 | − | 0.818284i | \(-0.694926\pi\) | ||||
−0.574815 | + | 0.818284i | \(0.694926\pi\) | |||||||
\(770\) | −2.07381 | − | 22.4197i | −0.0747348 | − | 0.807951i | ||||
\(771\) | −3.53531 | −0.127321 | ||||||||
\(772\) | 23.0357i | 0.829072i | ||||||||
\(773\) | − | 4.16709i | − | 0.149880i | −0.997188 | − | 0.0749399i | \(-0.976123\pi\) | ||
0.997188 | − | 0.0749399i | \(-0.0238765\pi\) | |||||||
\(774\) | 2.90334 | 0.104358 | ||||||||
\(775\) | −30.1121 | + | 5.61877i | −1.08166 | + | 0.201832i | ||||
\(776\) | −4.77755 | −0.171504 | ||||||||
\(777\) | 0.805262i | 0.0288886i | ||||||||
\(778\) | − | 14.1473i | − | 0.507204i | ||||||
\(779\) | −32.7607 | −1.17377 | ||||||||
\(780\) | 0.191266 | + | 2.06775i | 0.00684841 | + | 0.0740375i | ||||
\(781\) | 22.3146 | 0.798481 | ||||||||
\(782\) | 13.8577i | 0.495550i | ||||||||
\(783\) | − | 3.63863i | − | 0.130034i | ||||||
\(784\) | 1.05973 | 0.0378473 | ||||||||
\(785\) | 51.0735 | − | 4.72426i | 1.82289 | − | 0.168616i | ||||
\(786\) | 2.97349 | 0.106061 | ||||||||
\(787\) | 17.9192i | 0.638752i | 0.947628 | + | 0.319376i | \(0.103473\pi\) | ||||
−0.947628 | + | 0.319376i | \(0.896527\pi\) | |||||||
\(788\) | − | 14.9741i | − | 0.533429i | ||||||
\(789\) | −7.46787 | −0.265863 | ||||||||
\(790\) | 31.4305 | − | 2.90730i | 1.11825 | − | 0.103437i | ||||
\(791\) | −17.3850 | −0.618138 | ||||||||
\(792\) | 11.9947i | 0.426214i | ||||||||
\(793\) | 11.4523i | 0.406682i | ||||||||
\(794\) | −8.97099 | −0.318369 | ||||||||
\(795\) | 0.834266 | + | 9.01917i | 0.0295884 | + | 0.319877i | ||||
\(796\) | 9.81530 | 0.347894 | ||||||||
\(797\) | 14.5723i | 0.516178i | 0.966121 | + | 0.258089i | \(0.0830928\pi\) | ||||
−0.966121 | + | 0.258089i | \(0.916907\pi\) | |||||||
\(798\) | − | 3.05020i | − | 0.107976i | ||||||
\(799\) | 2.39416 | 0.0846992 | ||||||||
\(800\) | 0.917145 | + | 4.91516i | 0.0324260 | + | 0.173777i | ||||
\(801\) | −11.2760 | −0.398419 | ||||||||
\(802\) | 12.9434i | 0.457049i | ||||||||
\(803\) | − | 4.72751i | − | 0.166830i | ||||||
\(804\) | 2.09676 | 0.0739469 | ||||||||
\(805\) | −0.863105 | − | 9.33095i | −0.0304205 | − | 0.328873i | ||||
\(806\) | −18.2998 | −0.644582 | ||||||||
\(807\) | 5.10633i | 0.179751i | ||||||||
\(808\) | − | 11.0158i | − | 0.387533i | ||||||
\(809\) | 43.9263 | 1.54436 | 0.772182 | − | 0.635401i | \(-0.219165\pi\) | ||||
0.772182 | + | 0.635401i | \(0.219165\pi\) | |||||||
\(810\) | −18.1229 | + | 1.67635i | −0.636774 | + | 0.0589011i | ||||
\(811\) | −48.4888 | −1.70267 | −0.851336 | − | 0.524621i | \(-0.824207\pi\) | ||||
−0.851336 | + | 0.524621i | \(0.824207\pi\) | |||||||
\(812\) | 4.83195i | 0.169568i | ||||||||
\(813\) | 2.68008i | 0.0939945i | ||||||||
\(814\) | −4.39041 | −0.153884 | ||||||||
\(815\) | 18.6551 | − | 1.72558i | 0.653460 | − | 0.0604445i | ||||
\(816\) | 2.50567 | 0.0877160 | ||||||||
\(817\) | − | 4.02536i | − | 0.140829i | ||||||
\(818\) | − | 29.6250i | − | 1.03581i | ||||||
\(819\) | 21.1370 | 0.738588 | ||||||||
\(820\) | 1.67619 | + | 18.1211i | 0.0585349 | + | 0.632816i | ||||
\(821\) | −17.9423 | −0.626191 | −0.313095 | − | 0.949722i | \(-0.601366\pi\) | ||||
−0.313095 | + | 0.949722i | \(0.601366\pi\) | |||||||
\(822\) | − | 1.41729i | − | 0.0494335i | ||||||
\(823\) | − | 23.9360i | − | 0.834356i | −0.908825 | − | 0.417178i | \(-0.863019\pi\) | ||
0.908825 | − | 0.417178i | \(-0.136981\pi\) | |||||||
\(824\) | 13.4363 | 0.468076 | ||||||||
\(825\) | −1.17802 | − | 6.31323i | −0.0410133 | − | 0.219798i | ||||
\(826\) | −0.492378 | −0.0171320 | ||||||||
\(827\) | − | 42.5137i | − | 1.47835i | −0.673516 | − | 0.739173i | \(-0.735217\pi\) | ||
0.673516 | − | 0.739173i | \(-0.264783\pi\) | |||||||
\(828\) | 4.99213i | 0.173488i | ||||||||
\(829\) | 1.88468 | 0.0654577 | 0.0327288 | − | 0.999464i | \(-0.489580\pi\) | ||||
0.0327288 | + | 0.999464i | \(0.489580\pi\) | |||||||
\(830\) | −0.736419 | − | 7.96136i | −0.0255615 | − | 0.276343i | ||||
\(831\) | 5.91379 | 0.205147 | ||||||||
\(832\) | 2.98705i | 0.103557i | ||||||||
\(833\) | − | 8.54076i | − | 0.295920i | ||||||
\(834\) | 2.34603 | 0.0812364 | ||||||||
\(835\) | −7.41453 | + | 0.685838i | −0.256591 | + | 0.0237344i | ||||
\(836\) | 16.6302 | 0.575167 | ||||||||
\(837\) | 11.2440i | 0.388651i | ||||||||
\(838\) | − | 32.7955i | − | 1.13290i | ||||||
\(839\) | −28.8179 | −0.994905 | −0.497453 | − | 0.867491i | \(-0.665731\pi\) | ||||
−0.497453 | + | 0.867491i | \(0.665731\pi\) | |||||||
\(840\) | −1.68717 | + | 0.156062i | −0.0582130 | + | 0.00538465i | ||||
\(841\) | −25.0696 | −0.864469 | ||||||||
\(842\) | 23.4820i | 0.809244i | ||||||||
\(843\) | 2.64300i | 0.0910297i | ||||||||
\(844\) | −18.1730 | −0.625539 | ||||||||
\(845\) | −0.839786 | − | 9.07885i | −0.0288895 | − | 0.312322i | ||||
\(846\) | 0.862477 | 0.0296526 | ||||||||
\(847\) | 14.7895i | 0.508174i | ||||||||
\(848\) | 13.0290i | 0.447417i | ||||||||
\(849\) | −0.194605 | −0.00667883 | ||||||||
\(850\) | 39.6133 | − | 7.39164i | 1.35872 | − | 0.253531i | ||||
\(851\) | −1.82726 | −0.0626377 | ||||||||
\(852\) | − | 1.67926i | − | 0.0575306i | ||||||
\(853\) | 3.81024i | 0.130460i | 0.997870 | + | 0.0652301i | \(0.0207781\pi\) | ||||
−0.997870 | + | 0.0652301i | \(0.979222\pi\) | |||||||
\(854\) | −9.34440 | −0.319759 | ||||||||
\(855\) | 2.40700 | + | 26.0218i | 0.0823175 | + | 0.889927i | ||||
\(856\) | −9.10866 | −0.311328 | ||||||||
\(857\) | − | 4.13345i | − | 0.141196i | −0.997505 | − | 0.0705980i | \(-0.977509\pi\) | ||
0.997505 | − | 0.0705980i | \(-0.0224907\pi\) | |||||||
\(858\) | − | 3.83669i | − | 0.130982i | ||||||
\(859\) | −47.6723 | −1.62656 | −0.813279 | − | 0.581874i | \(-0.802320\pi\) | ||||
−0.813279 | + | 0.581874i | \(0.802320\pi\) | |||||||
\(860\) | −2.22656 | + | 0.205955i | −0.0759252 | + | 0.00702302i | ||||
\(861\) | −6.16699 | −0.210171 | ||||||||
\(862\) | 22.5348i | 0.767540i | ||||||||
\(863\) | − | 19.8828i | − | 0.676819i | −0.940999 | − | 0.338410i | \(-0.890111\pi\) | ||
0.940999 | − | 0.338410i | \(-0.109889\pi\) | |||||||
\(864\) | 1.83535 | 0.0624399 | ||||||||
\(865\) | 25.2096 | − | 2.33187i | 0.857153 | − | 0.0792860i | ||||
\(866\) | 32.3968 | 1.10089 | ||||||||
\(867\) | − | 14.9089i | − | 0.506333i | ||||||
\(868\) | − | 14.9316i | − | 0.506811i | ||||||
\(869\) | −58.3189 | −1.97833 | ||||||||
\(870\) | 0.126944 | + | 1.37238i | 0.00430381 | + | 0.0465281i | ||||
\(871\) | 20.1451 | 0.682591 | ||||||||
\(872\) | 5.21255i | 0.176519i | ||||||||
\(873\) | 13.8709i | 0.469457i | ||||||||
\(874\) | 6.92137 | 0.234119 | ||||||||
\(875\) | −26.2129 | + | 7.44435i | −0.886158 | + | 0.251665i | ||||
\(876\) | −0.355763 | −0.0120201 | ||||||||
\(877\) | 7.06183i | 0.238461i | 0.992867 | + | 0.119231i | \(0.0380428\pi\) | ||||
−0.992867 | + | 0.119231i | \(0.961957\pi\) | |||||||
\(878\) | 27.9756i | 0.944130i | ||||||||
\(879\) | 5.70992 | 0.192591 | ||||||||
\(880\) | −0.850874 | − | 9.19872i | −0.0286830 | − | 0.310089i | ||||
\(881\) | 24.0348 | 0.809754 | 0.404877 | − | 0.914371i | \(-0.367314\pi\) | ||||
0.404877 | + | 0.914371i | \(0.367314\pi\) | |||||||
\(882\) | − | 3.07674i | − | 0.103599i | ||||||
\(883\) | 30.7296i | 1.03413i | 0.855945 | + | 0.517067i | \(0.172976\pi\) | ||||
−0.855945 | + | 0.517067i | \(0.827024\pi\) | |||||||
\(884\) | 24.0739 | 0.809692 | ||||||||
\(885\) | −0.139846 | + | 0.0129357i | −0.00470089 | + | 0.000434828i | ||||
\(886\) | −22.2234 | −0.746608 | ||||||||
\(887\) | − | 6.74222i | − | 0.226382i | −0.993573 | − | 0.113191i | \(-0.963893\pi\) | ||
0.993573 | − | 0.113191i | \(-0.0361071\pi\) | |||||||
\(888\) | 0.330396i | 0.0110873i | ||||||||
\(889\) | −33.0600 | −1.10880 | ||||||||
\(890\) | 8.64756 | − | 0.799892i | 0.289867 | − | 0.0268125i | ||||
\(891\) | 33.6268 | 1.12654 | ||||||||
\(892\) | 10.2007i | 0.341543i | ||||||||
\(893\) | − | 1.19579i | − | 0.0400155i | ||||||
\(894\) | −6.76911 | −0.226393 | ||||||||
\(895\) | 5.01353 | + | 54.2008i | 0.167584 | + | 1.81173i | ||||
\(896\) | −2.43727 | −0.0814234 | ||||||||
\(897\) | − | 1.59680i | − | 0.0533157i | ||||||
\(898\) | − | 28.9309i | − | 0.965436i | ||||||
\(899\) | −12.1457 | −0.405081 | ||||||||
\(900\) | 14.2704 | − | 2.66278i | 0.475680 | − | 0.0887595i | ||||
\(901\) | 105.006 | 3.49825 | ||||||||
\(902\) | − | 33.6234i | − | 1.11954i | ||||||
\(903\) | − | 0.757747i | − | 0.0252163i | ||||||
\(904\) | −7.13297 | −0.237239 | ||||||||
\(905\) | 3.37753 | + | 36.5141i | 0.112273 | + | 1.21377i | ||||
\(906\) | −6.09176 | −0.202385 | ||||||||
\(907\) | 28.2890i | 0.939321i | 0.882847 | + | 0.469661i | \(0.155624\pi\) | ||||
−0.882847 | + | 0.469661i | \(0.844376\pi\) | |||||||
\(908\) | − | 8.31726i | − | 0.276018i | ||||||
\(909\) | −31.9825 | −1.06079 | ||||||||
\(910\) | −16.2099 | + | 1.49941i | −0.537354 | + | 0.0497048i | ||||
\(911\) | 37.0111 | 1.22623 | 0.613117 | − | 0.789992i | \(-0.289916\pi\) | ||||
0.613117 | + | 0.789992i | \(0.289916\pi\) | |||||||
\(912\) | − | 1.25148i | − | 0.0414408i | ||||||
\(913\) | 14.7722i | 0.488888i | ||||||||
\(914\) | 8.37745 | 0.277101 | ||||||||
\(915\) | −2.65402 | + | 0.245495i | −0.0877393 | + | 0.00811581i | ||||
\(916\) | 9.18100 | 0.303349 | ||||||||
\(917\) | 23.3104i | 0.769776i | ||||||||
\(918\) | − | 14.7918i | − | 0.488203i | ||||||
\(919\) | −35.1656 | −1.16001 | −0.580004 | − | 0.814614i | \(-0.696949\pi\) | ||||
−0.580004 | + | 0.814614i | \(0.696949\pi\) | |||||||
\(920\) | −0.354128 | − | 3.82845i | −0.0116753 | − | 0.126220i | ||||
\(921\) | 5.94184 | 0.195790 | ||||||||
\(922\) | 31.0950i | 1.02406i | ||||||||
\(923\) | − | 16.1339i | − | 0.531055i | ||||||
\(924\) | 3.13052 | 0.102987 | ||||||||
\(925\) | 0.974655 | + | 5.22337i | 0.0320465 | + | 0.171743i | ||||
\(926\) | 23.8818 | 0.784804 | ||||||||
\(927\) | − | 39.0102i | − | 1.28126i | ||||||
\(928\) | 1.98253i | 0.0650796i | ||||||||
\(929\) | 27.3655 | 0.897833 | 0.448917 | − | 0.893574i | \(-0.351810\pi\) | ||||
0.448917 | + | 0.893574i | \(0.351810\pi\) | |||||||
\(930\) | −0.392281 | − | 4.24091i | −0.0128634 | − | 0.139065i | ||||
\(931\) | −4.26577 | −0.139805 | ||||||||
\(932\) | 27.6383i | 0.905322i | ||||||||
\(933\) | − | 4.21686i | − | 0.138054i | ||||||
\(934\) | −12.5709 | −0.411333 | ||||||||
\(935\) | −74.1362 | + | 6.85754i | −2.42451 | + | 0.224265i | ||||
\(936\) | 8.67243 | 0.283467 | ||||||||
\(937\) | − | 49.9935i | − | 1.63322i | −0.577192 | − | 0.816608i | \(-0.695852\pi\) | ||
0.577192 | − | 0.816608i | \(-0.304148\pi\) | |||||||
\(938\) | 16.4373i | 0.536696i | ||||||||
\(939\) | −2.69610 | −0.0879840 | ||||||||
\(940\) | −0.661431 | + | 0.0611819i | −0.0215735 | + | 0.00199553i | ||||
\(941\) | 7.06756 | 0.230396 | 0.115198 | − | 0.993343i | \(-0.463250\pi\) | ||||
0.115198 | + | 0.993343i | \(0.463250\pi\) | |||||||
\(942\) | 7.13151i | 0.232357i | ||||||||
\(943\) | − | 13.9938i | − | 0.455702i | ||||||
\(944\) | −0.202020 | −0.00657521 | ||||||||
\(945\) | 0.921288 | + | 9.95995i | 0.0299695 | + | 0.323997i | ||||
\(946\) | 4.13135 | 0.134322 | ||||||||
\(947\) | 50.1488i | 1.62962i | 0.579731 | + | 0.814808i | \(0.303158\pi\) | ||||
−0.579731 | + | 0.814808i | \(0.696842\pi\) | |||||||
\(948\) | 4.38872i | 0.142539i | ||||||||
\(949\) | −3.41809 | −0.110956 | ||||||||
\(950\) | −3.69184 | − | 19.7853i | −0.119779 | − | 0.641920i | ||||
\(951\) | −0.639343 | −0.0207321 | ||||||||
\(952\) | 19.6429i | 0.636631i | ||||||||
\(953\) | 29.9709i | 0.970853i | 0.874278 | + | 0.485426i | \(0.161336\pi\) | ||||
−0.874278 | + | 0.485426i | \(0.838664\pi\) | |||||||
\(954\) | 37.8276 | 1.22471 | ||||||||
\(955\) | −2.77502 | − | 30.0005i | −0.0897976 | − | 0.970794i | ||||
\(956\) | −27.4665 | −0.888329 | ||||||||
\(957\) | − | 2.54643i | − | 0.0823145i | ||||||
\(958\) | 35.0874i | 1.13362i | ||||||||
\(959\) | 11.1106 | 0.358782 | ||||||||
\(960\) | −0.692239 | + | 0.0640316i | −0.0223419 | + | 0.00206661i | ||||
\(961\) | 6.53238 | 0.210722 | ||||||||
\(962\) | 3.17436i | 0.102345i | ||||||||
\(963\) | 26.4455i | 0.852196i | ||||||||
\(964\) | −14.7606 | −0.475406 | ||||||||
\(965\) | −51.2904 | + | 4.74432i | −1.65110 | + | 0.152725i | ||||
\(966\) | 1.30290 | 0.0419202 | ||||||||
\(967\) | 29.4556i | 0.947228i | 0.880733 | + | 0.473614i | \(0.157051\pi\) | ||||
−0.880733 | + | 0.473614i | \(0.842949\pi\) | |||||||
\(968\) | 6.06808i | 0.195035i | ||||||||
\(969\) | −10.0862 | −0.324016 | ||||||||
\(970\) | −0.983962 | − | 10.6375i | −0.0315931 | − | 0.341550i | ||||
\(971\) | 57.6633 | 1.85050 | 0.925251 | − | 0.379355i | \(-0.123854\pi\) | ||||
0.925251 | + | 0.379355i | \(0.123854\pi\) | |||||||
\(972\) | − | 8.03660i | − | 0.257774i | ||||||
\(973\) | 18.3914i | 0.589603i | ||||||||
\(974\) | 27.9557 | 0.895760 | ||||||||
\(975\) | −4.56459 | + | 0.851730i | −0.146184 | + | 0.0272772i | ||||
\(976\) | −3.83397 | −0.122722 | ||||||||
\(977\) | − | 17.0305i | − | 0.544854i | −0.962176 | − | 0.272427i | \(-0.912174\pi\) | ||
0.962176 | − | 0.272427i | \(-0.0878263\pi\) | |||||||
\(978\) | 2.60486i | 0.0832941i | ||||||||
\(979\) | −16.0454 | −0.512814 | ||||||||
\(980\) | 0.218256 | + | 2.35955i | 0.00697193 | + | 0.0753729i | ||||
\(981\) | 15.1338 | 0.483186 | ||||||||
\(982\) | 32.2993i | 1.03071i | ||||||||
\(983\) | 45.7499i | 1.45919i | 0.683878 | + | 0.729597i | \(0.260292\pi\) | ||||
−0.683878 | + | 0.729597i | \(0.739708\pi\) | |||||||
\(984\) | −2.53029 | −0.0806627 | ||||||||
\(985\) | 33.3407 | − | 3.08399i | 1.06232 | − | 0.0982641i | ||||
\(986\) | 15.9780 | 0.508842 | ||||||||
\(987\) | − | 0.225099i | − | 0.00716499i | ||||||
\(988\) | − | 12.0240i | − | 0.382533i | ||||||
\(989\) | 1.71944 | 0.0546751 | ||||||||
\(990\) | −26.7070 | + | 2.47038i | −0.848805 | + | 0.0785137i | ||||
\(991\) | 15.2937 | 0.485822 | 0.242911 | − | 0.970049i | \(-0.421898\pi\) | ||||
0.242911 | + | 0.970049i | \(0.421898\pi\) | |||||||
\(992\) | − | 6.12637i | − | 0.194512i | ||||||
\(993\) | − | 3.99101i | − | 0.126651i | ||||||
\(994\) | 13.1644 | 0.417549 | ||||||||
\(995\) | 2.02151 | + | 21.8544i | 0.0640863 | + | 0.692831i | ||||
\(996\) | 1.11166 | 0.0352244 | ||||||||
\(997\) | − | 38.8513i | − | 1.23043i | −0.788359 | − | 0.615216i | \(-0.789069\pi\) | ||
0.788359 | − | 0.615216i | \(-0.210931\pi\) | |||||||
\(998\) | 4.72254i | 0.149490i | ||||||||
\(999\) | 1.95044 | 0.0617091 |
(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 | 430.2.b.b.259.4 | ✓ | 16 | |
5.2 | odd | 4 | 2150.2.a.bh.1.4 | 8 | |||
5.3 | odd | 4 | 2150.2.a.bg.1.5 | 8 | |||
5.4 | even | 2 | inner | 430.2.b.b.259.13 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.b.b.259.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
430.2.b.b.259.13 | yes | 16 | 5.4 | even | 2 | inner | |
2150.2.a.bg.1.5 | 8 | 5.3 | odd | 4 | |||
2150.2.a.bh.1.4 | 8 | 5.2 | odd | 4 |