Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(29,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(10))
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("175.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.n (of order \(10\), degree \(4\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 169.9 | ||
Character | \(\chi\) | \(=\) | 175.169 |
Dual form | 175.2.n.a.29.9 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03051 | − | 0.334833i | 0.728681 | − | 0.236763i | 0.0788979 | − | 0.996883i | \(-0.474860\pi\) |
0.649783 | + | 0.760120i | \(0.274860\pi\) | |||||||
\(3\) | −1.58321 | − | 2.17910i | −0.914066 | − | 1.25810i | −0.965759 | − | 0.259440i | \(-0.916462\pi\) |
0.0516935 | − | 0.998663i | \(-0.483538\pi\) | |||||||
\(4\) | −0.668196 | + | 0.485473i | −0.334098 | + | 0.242737i | ||||
\(5\) | −2.00240 | − | 0.995194i | −0.895499 | − | 0.445064i | ||||
\(6\) | −2.36115 | − | 1.71547i | −0.963934 | − | 0.700339i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | −1.79981 | + | 2.47723i | −0.636329 | + | 0.875832i | ||||
\(9\) | −1.31487 | + | 4.04676i | −0.438291 | + | 1.34892i | ||||
\(10\) | −2.39671 | − | 0.355089i | −0.757907 | − | 0.112289i | ||||
\(11\) | −1.20073 | − | 3.69547i | −0.362034 | − | 1.11423i | −0.951817 | − | 0.306665i | \(-0.900787\pi\) |
0.589783 | − | 0.807562i | \(-0.299213\pi\) | |||||||
\(12\) | 2.11579 | + | 0.687461i | 0.610775 | + | 0.198453i | ||||
\(13\) | 2.12541 | + | 0.690588i | 0.589483 | + | 0.191535i | 0.588544 | − | 0.808465i | \(-0.299701\pi\) |
0.000938449 | 1.00000i | \(0.499701\pi\) | ||||||||
\(14\) | −0.334833 | − | 1.03051i | −0.0894879 | − | 0.275415i | ||||
\(15\) | 1.00158 | + | 5.93902i | 0.258608 | + | 1.53345i | ||||
\(16\) | −0.514809 | + | 1.58442i | −0.128702 | + | 0.396105i | ||||
\(17\) | 4.12875 | − | 5.68273i | 1.00137 | − | 1.37827i | 0.0768864 | − | 0.997040i | \(-0.475502\pi\) |
0.924482 | − | 0.381226i | \(-0.124498\pi\) | |||||||
\(18\) | 4.61049i | 1.08670i | ||||||||
\(19\) | −5.15646 | − | 3.74639i | −1.18297 | − | 0.859481i | −0.190470 | − | 0.981693i | \(-0.561001\pi\) |
−0.992504 | + | 0.122212i | \(0.961001\pi\) | |||||||
\(20\) | 1.82113 | − | 0.307124i | 0.407218 | − | 0.0686750i | ||||
\(21\) | −2.17910 | + | 1.58321i | −0.475518 | + | 0.345484i | ||||
\(22\) | −2.47473 | − | 3.40618i | −0.527615 | − | 0.726199i | ||||
\(23\) | 4.94286 | − | 1.60603i | 1.03066 | − | 0.334881i | 0.255607 | − | 0.966781i | \(-0.417725\pi\) |
0.775050 | + | 0.631900i | \(0.217725\pi\) | |||||||
\(24\) | 8.24760 | 1.68353 | ||||||||
\(25\) | 3.01918 | + | 3.98554i | 0.603835 | + | 0.797109i | ||||
\(26\) | 2.42149 | 0.474893 | ||||||||
\(27\) | 3.21497 | − | 1.04461i | 0.618720 | − | 0.201034i | ||||
\(28\) | 0.485473 | + | 0.668196i | 0.0917458 | + | 0.126277i | ||||
\(29\) | −4.72713 | + | 3.43446i | −0.877807 | + | 0.637764i | −0.932670 | − | 0.360730i | \(-0.882528\pi\) |
0.0548634 | + | 0.998494i | \(0.482528\pi\) | |||||||
\(30\) | 3.02072 | + | 5.78485i | 0.551505 | + | 1.05617i | ||||
\(31\) | 0.520209 | + | 0.377954i | 0.0934322 | + | 0.0678825i | 0.633521 | − | 0.773726i | \(-0.281609\pi\) |
−0.540088 | + | 0.841608i | \(0.681609\pi\) | |||||||
\(32\) | − | 4.31891i | − | 0.763482i | ||||||
\(33\) | −6.15179 | + | 8.46722i | −1.07089 | + | 1.47395i | ||||
\(34\) | 2.35195 | − | 7.23856i | 0.403356 | − | 1.24140i | ||||
\(35\) | −0.995194 | + | 2.00240i | −0.168219 | + | 0.338467i | ||||
\(36\) | −1.08600 | − | 3.34237i | −0.181000 | − | 0.557061i | ||||
\(37\) | 6.79092 | + | 2.20650i | 1.11642 | + | 0.362747i | 0.808401 | − | 0.588633i | \(-0.200334\pi\) |
0.308020 | + | 0.951380i | \(0.400334\pi\) | |||||||
\(38\) | −6.56820 | − | 2.13414i | −1.06550 | − | 0.346203i | ||||
\(39\) | −1.86011 | − | 5.72482i | −0.297856 | − | 0.916705i | ||||
\(40\) | 6.06926 | − | 3.16923i | 0.959634 | − | 0.501099i | ||||
\(41\) | −0.201628 | + | 0.620549i | −0.0314891 | + | 0.0969134i | −0.965566 | − | 0.260159i | \(-0.916225\pi\) |
0.934077 | + | 0.357072i | \(0.116225\pi\) | |||||||
\(42\) | −1.71547 | + | 2.36115i | −0.264703 | + | 0.364333i | ||||
\(43\) | − | 0.957977i | − | 0.146090i | −0.997329 | − | 0.0730450i | \(-0.976728\pi\) | ||
0.997329 | − | 0.0730450i | \(-0.0232717\pi\) | |||||||
\(44\) | 2.59638 | + | 1.88638i | 0.391419 | + | 0.284382i | ||||
\(45\) | 6.66021 | − | 6.79467i | 0.992846 | − | 1.01289i | ||||
\(46\) | 4.55591 | − | 3.31006i | 0.671733 | − | 0.488042i | ||||
\(47\) | 1.01412 | + | 1.39581i | 0.147924 | + | 0.203600i | 0.876549 | − | 0.481313i | \(-0.159840\pi\) |
−0.728624 | + | 0.684914i | \(0.759840\pi\) | |||||||
\(48\) | 4.26766 | − | 1.38665i | 0.615983 | − | 0.200145i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 4.44578 | + | 3.09622i | 0.628729 | + | 0.437872i | ||||
\(51\) | −18.9199 | −2.64932 | ||||||||
\(52\) | −1.75545 | + | 0.570381i | −0.243437 | + | 0.0790976i | ||||
\(53\) | −5.94778 | − | 8.18641i | −0.816990 | − | 1.12449i | −0.990207 | − | 0.139606i | \(-0.955416\pi\) |
0.173217 | − | 0.984884i | \(-0.444584\pi\) | |||||||
\(54\) | 2.96329 | − | 2.15295i | 0.403252 | − | 0.292980i | ||||
\(55\) | −1.27337 | + | 8.59476i | −0.171701 | + | 1.15892i | ||||
\(56\) | 2.47723 | + | 1.79981i | 0.331033 | + | 0.240510i | ||||
\(57\) | 17.1678i | 2.27393i | ||||||||
\(58\) | −3.72139 | + | 5.12205i | −0.488642 | + | 0.672558i | ||||
\(59\) | −0.235963 | + | 0.726220i | −0.0307198 | + | 0.0945458i | −0.965241 | − | 0.261362i | \(-0.915828\pi\) |
0.934521 | + | 0.355908i | \(0.115828\pi\) | |||||||
\(60\) | −3.55249 | − | 3.48219i | −0.458624 | − | 0.449549i | ||||
\(61\) | 3.07593 | + | 9.46675i | 0.393833 | + | 1.21209i | 0.929867 | + | 0.367897i | \(0.119922\pi\) |
−0.536034 | + | 0.844197i | \(0.680078\pi\) | |||||||
\(62\) | 0.662631 | + | 0.215302i | 0.0841543 | + | 0.0273434i | ||||
\(63\) | 4.04676 | + | 1.31487i | 0.509844 | + | 0.165658i | ||||
\(64\) | −2.47573 | − | 7.61952i | −0.309466 | − | 0.952440i | ||||
\(65\) | −3.56864 | − | 3.49803i | −0.442636 | − | 0.433877i | ||||
\(66\) | −3.50438 | + | 10.7854i | −0.431359 | + | 1.32759i | ||||
\(67\) | −1.61593 | + | 2.22413i | −0.197417 | + | 0.271721i | −0.896236 | − | 0.443577i | \(-0.853709\pi\) |
0.698819 | + | 0.715298i | \(0.253709\pi\) | |||||||
\(68\) | 5.80158i | 0.703545i | ||||||||
\(69\) | −11.3253 | − | 8.22830i | −1.36340 | − | 0.990570i | ||||
\(70\) | −0.355089 | + | 2.39671i | −0.0424413 | + | 0.286462i | ||||
\(71\) | 10.3133 | − | 7.49305i | 1.22396 | − | 0.889261i | 0.227541 | − | 0.973769i | \(-0.426932\pi\) |
0.996423 | + | 0.0845072i | \(0.0269316\pi\) | |||||||
\(72\) | −7.65823 | − | 10.5407i | −0.902531 | − | 1.24223i | ||||
\(73\) | −9.69099 | + | 3.14879i | −1.13424 | + | 0.368538i | −0.815187 | − | 0.579197i | \(-0.803366\pi\) |
−0.319057 | + | 0.947736i | \(0.603366\pi\) | |||||||
\(74\) | 7.73692 | 0.899399 | ||||||||
\(75\) | 3.90491 | − | 12.8890i | 0.450900 | − | 1.48830i | ||||
\(76\) | 5.26430 | 0.603857 | ||||||||
\(77\) | −3.69547 | + | 1.20073i | −0.421138 | + | 0.136836i | ||||
\(78\) | −3.83372 | − | 5.27666i | −0.434083 | − | 0.597464i | ||||
\(79\) | 3.52524 | − | 2.56124i | 0.396620 | − | 0.288162i | −0.371543 | − | 0.928416i | \(-0.621171\pi\) |
0.768163 | + | 0.640254i | \(0.221171\pi\) | |||||||
\(80\) | 2.60766 | − | 2.66030i | 0.291545 | − | 0.297431i | ||||
\(81\) | 2.96089 | + | 2.15121i | 0.328988 | + | 0.239024i | ||||
\(82\) | 0.706994i | 0.0780744i | ||||||||
\(83\) | 6.22474 | − | 8.56762i | 0.683254 | − | 0.940419i | −0.316713 | − | 0.948521i | \(-0.602579\pi\) |
0.999967 | + | 0.00810282i | \(0.00257924\pi\) | |||||||
\(84\) | 0.687461 | − | 2.11579i | 0.0750082 | − | 0.230851i | ||||
\(85\) | −13.9228 | + | 7.27018i | −1.51014 | + | 0.788561i | ||||
\(86\) | −0.320762 | − | 0.987205i | −0.0345887 | − | 0.106453i | ||||
\(87\) | 14.9681 | + | 4.86342i | 1.60475 | + | 0.521414i | ||||
\(88\) | 11.3156 | + | 3.67667i | 1.20625 | + | 0.391934i | ||||
\(89\) | −0.431368 | − | 1.32762i | −0.0457249 | − | 0.140727i | 0.925588 | − | 0.378534i | \(-0.123572\pi\) |
−0.971313 | + | 0.237807i | \(0.923572\pi\) | |||||||
\(90\) | 4.58834 | − | 9.23203i | 0.483653 | − | 0.973142i | ||||
\(91\) | 0.690588 | − | 2.12541i | 0.0723932 | − | 0.222804i | ||||
\(92\) | −2.52311 | + | 3.47277i | −0.263053 | + | 0.362061i | ||||
\(93\) | − | 1.73197i | − | 0.179596i | ||||||
\(94\) | 1.51242 | + | 1.09884i | 0.155995 | + | 0.113337i | ||||
\(95\) | 6.59690 | + | 12.6334i | 0.676827 | + | 1.29616i | ||||
\(96\) | −9.41133 | + | 6.83773i | −0.960539 | + | 0.697873i | ||||
\(97\) | −6.50724 | − | 8.95645i | −0.660710 | − | 0.909389i | 0.338795 | − | 0.940860i | \(-0.389981\pi\) |
−0.999505 | + | 0.0314709i | \(0.989981\pi\) | |||||||
\(98\) | −1.03051 | + | 0.334833i | −0.104097 | + | 0.0338232i | ||||
\(99\) | 16.5335 | 1.66168 | ||||||||
\(100\) | −3.95228 | − | 1.19740i | −0.395228 | − | 0.119740i | ||||
\(101\) | −8.27731 | −0.823623 | −0.411811 | − | 0.911269i | \(-0.635104\pi\) | ||||
−0.411811 | + | 0.911269i | \(0.635104\pi\) | |||||||
\(102\) | −19.4972 | + | 6.33501i | −1.93051 | + | 0.627259i | ||||
\(103\) | −4.05337 | − | 5.57898i | −0.399390 | − | 0.549713i | 0.561201 | − | 0.827680i | \(-0.310340\pi\) |
−0.960591 | + | 0.277966i | \(0.910340\pi\) | |||||||
\(104\) | −5.53608 | + | 4.02220i | −0.542857 | + | 0.394409i | ||||
\(105\) | 5.93902 | − | 1.00158i | 0.579589 | − | 0.0977445i | ||||
\(106\) | −8.87032 | − | 6.44467i | −0.861562 | − | 0.625961i | ||||
\(107\) | − | 12.0065i | − | 1.16071i | −0.814362 | − | 0.580357i | \(-0.802913\pi\) | ||
0.814362 | − | 0.580357i | \(-0.197087\pi\) | |||||||
\(108\) | −1.64110 | + | 2.25878i | −0.157915 | + | 0.217351i | ||||
\(109\) | 0.360059 | − | 1.10815i | 0.0344874 | − | 0.106141i | −0.932331 | − | 0.361606i | \(-0.882229\pi\) |
0.966818 | + | 0.255465i | \(0.0822285\pi\) | |||||||
\(110\) | 1.56559 | + | 9.28335i | 0.149273 | + | 0.885133i | ||||
\(111\) | −5.94325 | − | 18.2914i | −0.564108 | − | 1.73615i | ||||
\(112\) | 1.58442 | + | 0.514809i | 0.149714 | + | 0.0486449i | ||||
\(113\) | 18.4253 | + | 5.98673i | 1.73330 | + | 0.563184i | 0.993920 | − | 0.110102i | \(-0.0351179\pi\) |
0.739382 | + | 0.673286i | \(0.235118\pi\) | |||||||
\(114\) | 5.74833 | + | 17.6915i | 0.538381 | + | 1.65697i | ||||
\(115\) | −11.4959 | − | 1.70319i | −1.07200 | − | 0.158823i | ||||
\(116\) | 1.49131 | − | 4.58979i | 0.138465 | − | 0.426152i | ||||
\(117\) | −5.58929 | + | 7.69300i | −0.516730 | + | 0.711218i | ||||
\(118\) | 0.827386i | 0.0761670i | ||||||||
\(119\) | −5.68273 | − | 4.12875i | −0.520935 | − | 0.378482i | ||||
\(120\) | −16.5150 | − | 8.20796i | −1.50760 | − | 0.749281i | ||||
\(121\) | −3.31558 | + | 2.40891i | −0.301416 | + | 0.218992i | ||||
\(122\) | 6.33956 | + | 8.72566i | 0.573957 | + | 0.789984i | ||||
\(123\) | 1.67146 | − | 0.543089i | 0.150710 | − | 0.0489687i | ||||
\(124\) | −0.531088 | −0.0476931 | ||||||||
\(125\) | −2.07920 | − | 10.9853i | −0.185969 | − | 0.982556i | ||||
\(126\) | 4.61049 | 0.410735 | ||||||||
\(127\) | −0.752993 | + | 0.244662i | −0.0668173 | + | 0.0217103i | −0.342235 | − | 0.939614i | \(-0.611184\pi\) |
0.275418 | + | 0.961325i | \(0.411184\pi\) | |||||||
\(128\) | −0.0253510 | − | 0.0348927i | −0.00224073 | − | 0.00308410i | ||||
\(129\) | −2.08753 | + | 1.51668i | −0.183796 | + | 0.133536i | ||||
\(130\) | −4.84878 | − | 2.40985i | −0.425266 | − | 0.211358i | ||||
\(131\) | 1.66351 | + | 1.20861i | 0.145342 | + | 0.105597i | 0.658080 | − | 0.752948i | \(-0.271369\pi\) |
−0.512738 | + | 0.858545i | \(0.671369\pi\) | |||||||
\(132\) | − | 8.64429i | − | 0.752389i | ||||||
\(133\) | −3.74639 | + | 5.15646i | −0.324853 | + | 0.447122i | ||||
\(134\) | −0.920516 | + | 2.83306i | −0.0795204 | + | 0.244739i | ||||
\(135\) | −7.47722 | − | 1.10780i | −0.643536 | − | 0.0953443i | ||||
\(136\) | 6.64646 | + | 20.4557i | 0.569929 | + | 1.75406i | ||||
\(137\) | 7.56640 | + | 2.45847i | 0.646441 | + | 0.210041i | 0.613844 | − | 0.789427i | \(-0.289622\pi\) |
0.0325968 | + | 0.999469i | \(0.489622\pi\) | |||||||
\(138\) | −14.4259 | − | 4.68726i | −1.22802 | − | 0.399006i | ||||
\(139\) | 4.66431 | + | 14.3553i | 0.395622 | + | 1.21760i | 0.928476 | + | 0.371392i | \(0.121119\pi\) |
−0.532854 | + | 0.846207i | \(0.678881\pi\) | |||||||
\(140\) | −0.307124 | − | 1.82113i | −0.0259567 | − | 0.153914i | ||||
\(141\) | 1.43606 | − | 4.41973i | 0.120938 | − | 0.372208i | ||||
\(142\) | 8.11904 | − | 11.1749i | 0.681334 | − | 0.937776i | ||||
\(143\) | − | 8.68361i | − | 0.726160i | ||||||
\(144\) | −5.73486 | − | 4.16662i | −0.477905 | − | 0.347219i | ||||
\(145\) | 12.8836 | − | 2.17274i | 1.06992 | − | 0.180436i | ||||
\(146\) | −8.93234 | + | 6.48972i | −0.739246 | + | 0.537093i | ||||
\(147\) | 1.58321 | + | 2.17910i | 0.130581 | + | 0.179729i | ||||
\(148\) | −5.60887 | + | 1.82243i | −0.461046 | + | 0.149803i | ||||
\(149\) | −3.74915 | −0.307143 | −0.153571 | − | 0.988138i | \(-0.549077\pi\) | ||||
−0.153571 | + | 0.988138i | \(0.549077\pi\) | |||||||
\(150\) | −0.291624 | − | 14.5898i | −0.0238110 | − | 1.19125i | ||||
\(151\) | 0.172096 | 0.0140050 | 0.00700248 | − | 0.999975i | \(-0.497771\pi\) | ||||
0.00700248 | + | 0.999975i | \(0.497771\pi\) | |||||||
\(152\) | 18.5613 | − | 6.03094i | 1.50552 | − | 0.489174i | ||||
\(153\) | 17.5679 | + | 24.1801i | 1.42028 | + | 1.95485i | ||||
\(154\) | −3.40618 | + | 2.47473i | −0.274478 | + | 0.199420i | ||||
\(155\) | −0.665526 | − | 1.27452i | −0.0534563 | − | 0.102372i | ||||
\(156\) | 4.02216 | + | 2.92227i | 0.322031 | + | 0.233969i | ||||
\(157\) | 6.90269i | 0.550895i | 0.961316 | + | 0.275447i | \(0.0888259\pi\) | ||||
−0.961316 | + | 0.275447i | \(0.911174\pi\) | |||||||
\(158\) | 2.77521 | − | 3.81975i | 0.220784 | − | 0.303883i | ||||
\(159\) | −8.42243 | + | 25.9216i | −0.667942 | + | 2.05572i | ||||
\(160\) | −4.29815 | + | 8.64816i | −0.339799 | + | 0.683697i | ||||
\(161\) | −1.60603 | − | 4.94286i | −0.126573 | − | 0.389552i | ||||
\(162\) | 3.77153 | + | 1.22544i | 0.296319 | + | 0.0962799i | ||||
\(163\) | 9.52841 | + | 3.09597i | 0.746323 | + | 0.242495i | 0.657398 | − | 0.753543i | \(-0.271657\pi\) |
0.0889246 | + | 0.996038i | \(0.471657\pi\) | |||||||
\(164\) | −0.166532 | − | 0.512534i | −0.0130040 | − | 0.0400221i | ||||
\(165\) | 20.7448 | − | 10.8325i | 1.61498 | − | 0.843308i | ||||
\(166\) | 3.54594 | − | 10.9133i | 0.275218 | − | 0.847034i | ||||
\(167\) | 4.61709 | − | 6.35488i | 0.357281 | − | 0.491755i | −0.592108 | − | 0.805859i | \(-0.701704\pi\) |
0.949389 | + | 0.314104i | \(0.101704\pi\) | |||||||
\(168\) | − | 8.24760i | − | 0.636316i | ||||||
\(169\) | −6.47676 | − | 4.70564i | −0.498213 | − | 0.361973i | ||||
\(170\) | −11.9133 | + | 12.1538i | −0.913708 | + | 0.932154i | ||||
\(171\) | 21.9409 | − | 15.9410i | 1.67786 | − | 1.21904i | ||||
\(172\) | 0.465072 | + | 0.640116i | 0.0354614 | + | 0.0488084i | ||||
\(173\) | 19.5169 | − | 6.34143i | 1.48384 | − | 0.482130i | 0.548585 | − | 0.836095i | \(-0.315167\pi\) |
0.935259 | + | 0.353965i | \(0.115167\pi\) | |||||||
\(174\) | 17.0532 | 1.29280 | ||||||||
\(175\) | 3.98554 | − | 3.01918i | 0.301279 | − | 0.228228i | ||||
\(176\) | 6.47333 | 0.487945 | ||||||||
\(177\) | 1.95608 | − | 0.635571i | 0.147028 | − | 0.0477724i | ||||
\(178\) | −0.889059 | − | 1.22368i | −0.0666378 | − | 0.0917190i | ||||
\(179\) | 0.138259 | − | 0.100451i | 0.0103340 | − | 0.00750805i | −0.582606 | − | 0.812755i | \(-0.697967\pi\) |
0.592940 | + | 0.805246i | \(0.297967\pi\) | |||||||
\(180\) | −1.15170 | + | 7.77353i | −0.0858427 | + | 0.579405i | ||||
\(181\) | 16.5075 | + | 11.9934i | 1.22700 | + | 0.891465i | 0.996661 | − | 0.0816467i | \(-0.0260179\pi\) |
0.230335 | + | 0.973111i | \(0.426018\pi\) | |||||||
\(182\) | − | 2.42149i | − | 0.179493i | ||||||
\(183\) | 15.7591 | − | 21.6906i | 1.16495 | − | 1.60342i | ||||
\(184\) | −4.91771 | + | 15.1351i | −0.362538 | + | 1.11578i | ||||
\(185\) | −11.4022 | − | 11.1766i | −0.838307 | − | 0.821719i | ||||
\(186\) | −0.579919 | − | 1.78481i | −0.0425217 | − | 0.130868i | ||||
\(187\) | −25.9579 | − | 8.43424i | −1.89823 | − | 0.616772i | ||||
\(188\) | −1.35526 | − | 0.440351i | −0.0988426 | − | 0.0321159i | ||||
\(189\) | −1.04461 | − | 3.21497i | −0.0759839 | − | 0.233854i | ||||
\(190\) | 11.0283 | + | 10.8100i | 0.800074 | + | 0.784242i | ||||
\(191\) | −0.182058 | + | 0.560317i | −0.0131733 | + | 0.0405431i | −0.957427 | − | 0.288675i | \(-0.906785\pi\) |
0.944254 | + | 0.329218i | \(0.106785\pi\) | |||||||
\(192\) | −12.6841 | + | 17.4581i | −0.915395 | + | 1.25993i | ||||
\(193\) | 9.74725i | 0.701623i | 0.936446 | + | 0.350811i | \(0.114094\pi\) | ||||
−0.936446 | + | 0.350811i | \(0.885906\pi\) | |||||||
\(194\) | −9.70469 | − | 7.05087i | −0.696756 | − | 0.506223i | ||||
\(195\) | −1.97264 | + | 13.3145i | −0.141264 | + | 0.953473i | ||||
\(196\) | 0.668196 | − | 0.485473i | 0.0477283 | − | 0.0346766i | ||||
\(197\) | −2.12986 | − | 2.93151i | −0.151746 | − | 0.208861i | 0.726375 | − | 0.687298i | \(-0.241203\pi\) |
−0.878122 | + | 0.478437i | \(0.841203\pi\) | |||||||
\(198\) | 17.0380 | − | 5.53597i | 1.21083 | − | 0.393424i | ||||
\(199\) | 3.85851 | 0.273522 | 0.136761 | − | 0.990604i | \(-0.456331\pi\) | ||||
0.136761 | + | 0.990604i | \(0.456331\pi\) | |||||||
\(200\) | −15.3070 | + | 0.305961i | −1.08237 | + | 0.0216347i | ||||
\(201\) | 7.40495 | 0.522305 | ||||||||
\(202\) | −8.52985 | + | 2.77152i | −0.600158 | + | 0.195003i | ||||
\(203\) | 3.43446 | + | 4.72713i | 0.241052 | + | 0.331780i | ||||
\(204\) | 12.6422 | − | 9.18510i | 0.885132 | − | 0.643086i | ||||
\(205\) | 1.02131 | − | 1.04192i | 0.0713311 | − | 0.0727712i | ||||
\(206\) | −6.04506 | − | 4.39200i | −0.421180 | − | 0.306005i | ||||
\(207\) | 22.1143i | 1.53705i | ||||||||
\(208\) | −2.18836 | + | 3.01202i | −0.151736 | + | 0.208846i | ||||
\(209\) | −7.65315 | + | 23.5540i | −0.529380 | + | 1.62926i | ||||
\(210\) | 5.78485 | − | 3.02072i | 0.399193 | − | 0.208449i | ||||
\(211\) | 3.22549 | + | 9.92705i | 0.222052 | + | 0.683406i | 0.998577 | + | 0.0533203i | \(0.0169804\pi\) |
−0.776525 | + | 0.630086i | \(0.783020\pi\) | |||||||
\(212\) | 7.94856 | + | 2.58265i | 0.545910 | + | 0.177377i | ||||
\(213\) | −32.6562 | − | 10.6106i | −2.23757 | − | 0.727029i | ||||
\(214\) | −4.02018 | − | 12.3728i | −0.274814 | − | 0.845789i | ||||
\(215\) | −0.953373 | + | 1.91825i | −0.0650195 | + | 0.130823i | ||||
\(216\) | −3.19860 | + | 9.84429i | −0.217637 | + | 0.669819i | ||||
\(217\) | 0.377954 | − | 0.520209i | 0.0256572 | − | 0.0353141i | ||||
\(218\) | − | 1.26252i | − | 0.0855084i | ||||||
\(219\) | 22.2044 | + | 16.1324i | 1.50043 | + | 1.09013i | ||||
\(220\) | −3.32166 | − | 6.36118i | −0.223946 | − | 0.428870i | ||||
\(221\) | 12.6997 | − | 9.22688i | 0.854275 | − | 0.620667i | ||||
\(222\) | −12.2492 | − | 16.8595i | −0.822110 | − | 1.13154i | ||||
\(223\) | −9.58256 | + | 3.11356i | −0.641696 | + | 0.208500i | −0.611749 | − | 0.791052i | \(-0.709534\pi\) |
−0.0299467 | + | 0.999551i | \(0.509534\pi\) | |||||||
\(224\) | −4.31891 | −0.288569 | ||||||||
\(225\) | −20.0984 | + | 6.97741i | −1.33989 | + | 0.465161i | ||||
\(226\) | 20.9920 | 1.39636 | ||||||||
\(227\) | −17.9785 | + | 5.84157i | −1.19328 | + | 0.387719i | −0.837283 | − | 0.546770i | \(-0.815857\pi\) |
−0.355993 | + | 0.934489i | \(0.615857\pi\) | |||||||
\(228\) | −8.33449 | − | 11.4714i | −0.551965 | − | 0.759714i | ||||
\(229\) | 12.7540 | − | 9.26633i | 0.842809 | − | 0.612337i | −0.0803449 | − | 0.996767i | \(-0.525602\pi\) |
0.923154 | + | 0.384431i | \(0.125602\pi\) | |||||||
\(230\) | −12.4169 | + | 2.09404i | −0.818746 | + | 0.138077i | ||||
\(231\) | 8.46722 | + | 6.15179i | 0.557102 | + | 0.404758i | ||||
\(232\) | − | 17.8916i | − | 1.17464i | ||||||
\(233\) | −0.136891 | + | 0.188414i | −0.00896801 | + | 0.0123434i | −0.813477 | − | 0.581596i | \(-0.802428\pi\) |
0.804509 | + | 0.593940i | \(0.202428\pi\) | |||||||
\(234\) | −3.18395 | + | 9.79919i | −0.208141 | + | 0.640593i | ||||
\(235\) | −0.641560 | − | 3.80422i | −0.0418508 | − | 0.248160i | ||||
\(236\) | −0.194891 | − | 0.599812i | −0.0126863 | − | 0.0390444i | ||||
\(237\) | −11.1624 | − | 3.62688i | −0.725074 | − | 0.235591i | ||||
\(238\) | −7.23856 | − | 2.35195i | −0.469206 | − | 0.152454i | ||||
\(239\) | 7.28392 | + | 22.4176i | 0.471158 | + | 1.45007i | 0.851070 | + | 0.525052i | \(0.175954\pi\) |
−0.379912 | + | 0.925023i | \(0.624046\pi\) | |||||||
\(240\) | −9.92552 | − | 1.47053i | −0.640690 | − | 0.0949225i | ||||
\(241\) | 0.907156 | − | 2.79194i | 0.0584351 | − | 0.179845i | −0.917578 | − | 0.397555i | \(-0.869859\pi\) |
0.976013 | + | 0.217710i | \(0.0698588\pi\) | |||||||
\(242\) | −2.61015 | + | 3.59257i | −0.167787 | + | 0.230939i | ||||
\(243\) | − | 19.9991i | − | 1.28295i | ||||||
\(244\) | −6.65118 | − | 4.83237i | −0.425798 | − | 0.309361i | ||||
\(245\) | 2.00240 | + | 0.995194i | 0.127928 | + | 0.0635806i | ||||
\(246\) | 1.54061 | − | 1.11932i | 0.0982256 | − | 0.0713651i | ||||
\(247\) | −8.37239 | − | 11.5236i | −0.532722 | − | 0.733229i | ||||
\(248\) | −1.87255 | + | 0.608430i | −0.118907 | + | 0.0386353i | ||||
\(249\) | −28.5248 | −1.80768 | ||||||||
\(250\) | −5.82088 | − | 10.6243i | −0.368145 | − | 0.671939i | ||||
\(251\) | −11.1248 | −0.702191 | −0.351096 | − | 0.936340i | \(-0.614191\pi\) | ||||
−0.351096 | + | 0.936340i | \(0.614191\pi\) | |||||||
\(252\) | −3.34237 | + | 1.08600i | −0.210549 | + | 0.0684117i | ||||
\(253\) | −11.8701 | − | 16.3378i | −0.746267 | − | 1.02715i | ||||
\(254\) | −0.694046 | + | 0.504254i | −0.0435483 | + | 0.0316397i | ||||
\(255\) | 37.8851 | + | 18.8290i | 2.37246 | + | 1.17912i | ||||
\(256\) | 12.9253 | + | 9.39077i | 0.807830 | + | 0.586923i | ||||
\(257\) | 23.1468i | 1.44386i | 0.691966 | + | 0.721930i | \(0.256745\pi\) | ||||
−0.691966 | + | 0.721930i | \(0.743255\pi\) | |||||||
\(258\) | −1.64338 | + | 2.26192i | −0.102313 | + | 0.140821i | ||||
\(259\) | 2.20650 | − | 6.79092i | 0.137106 | − | 0.421967i | ||||
\(260\) | 4.08275 | + | 0.604887i | 0.253201 | + | 0.0375135i | ||||
\(261\) | −7.68289 | − | 23.6455i | −0.475559 | − | 1.46362i | ||||
\(262\) | 2.11895 | + | 0.688488i | 0.130909 | + | 0.0425349i | ||||
\(263\) | −27.5402 | − | 8.94835i | −1.69820 | − | 0.551779i | −0.709901 | − | 0.704301i | \(-0.751260\pi\) |
−0.988300 | + | 0.152522i | \(0.951260\pi\) | |||||||
\(264\) | −9.90316 | − | 30.4788i | −0.609497 | − | 1.87584i | ||||
\(265\) | 3.76273 | + | 22.3116i | 0.231143 | + | 1.37059i | ||||
\(266\) | −2.13414 | + | 6.56820i | −0.130852 | + | 0.402722i | ||||
\(267\) | −2.21006 | + | 3.04189i | −0.135253 | + | 0.186160i | ||||
\(268\) | − | 2.27065i | − | 0.138702i | ||||||
\(269\) | −7.60170 | − | 5.52296i | −0.463484 | − | 0.336741i | 0.331412 | − | 0.943486i | \(-0.392475\pi\) |
−0.794896 | + | 0.606745i | \(0.792475\pi\) | |||||||
\(270\) | −8.07628 | + | 1.36202i | −0.491507 | + | 0.0828899i | ||||
\(271\) | −11.6500 | + | 8.46422i | −0.707687 | + | 0.514165i | −0.882427 | − | 0.470450i | \(-0.844092\pi\) |
0.174740 | + | 0.984615i | \(0.444092\pi\) | |||||||
\(272\) | 6.87832 | + | 9.46719i | 0.417059 | + | 0.574033i | ||||
\(273\) | −5.72482 | + | 1.86011i | −0.346482 | + | 0.112579i | ||||
\(274\) | 8.62043 | 0.520779 | ||||||||
\(275\) | 11.1033 | − | 15.9429i | 0.669551 | − | 0.961391i | ||||
\(276\) | 11.5621 | 0.695958 | ||||||||
\(277\) | 2.72923 | − | 0.886780i | 0.163984 | − | 0.0532815i | −0.225875 | − | 0.974156i | \(-0.572524\pi\) |
0.389858 | + | 0.920875i | \(0.372524\pi\) | |||||||
\(278\) | 9.61324 | + | 13.2315i | 0.576564 | + | 0.793572i | ||||
\(279\) | −2.21350 | + | 1.60820i | −0.132519 | + | 0.0962804i | ||||
\(280\) | −3.16923 | − | 6.06926i | −0.189398 | − | 0.362707i | ||||
\(281\) | −21.2310 | − | 15.4252i | −1.26653 | − | 0.920191i | −0.267476 | − | 0.963565i | \(-0.586190\pi\) |
−0.999059 | + | 0.0433733i | \(0.986190\pi\) | |||||||
\(282\) | − | 5.03542i | − | 0.299855i | ||||||
\(283\) | 12.6986 | − | 17.4781i | 0.754854 | − | 1.03897i | −0.242770 | − | 0.970084i | \(-0.578056\pi\) |
0.997625 | − | 0.0688841i | \(-0.0219439\pi\) | |||||||
\(284\) | −3.25363 | + | 10.0137i | −0.193068 | + | 0.594201i | ||||
\(285\) | 17.0853 | − | 34.3767i | 1.01204 | − | 2.03630i | ||||
\(286\) | −2.90756 | − | 8.94854i | −0.171927 | − | 0.529138i | ||||
\(287\) | 0.620549 | + | 0.201628i | 0.0366298 | + | 0.0119018i | ||||
\(288\) | 17.4776 | + | 5.67882i | 1.02988 | + | 0.334627i | ||||
\(289\) | −9.99362 | − | 30.7572i | −0.587860 | − | 1.80925i | ||||
\(290\) | 12.5491 | − | 6.55287i | 0.736910 | − | 0.384798i | ||||
\(291\) | −9.21467 | + | 28.3598i | −0.540174 | + | 1.66248i | ||||
\(292\) | 4.94683 | − | 6.80872i | 0.289491 | − | 0.398450i | ||||
\(293\) | − | 25.5957i | − | 1.49532i | −0.664084 | − | 0.747658i | \(-0.731178\pi\) | ||
0.664084 | − | 0.747658i | \(-0.268822\pi\) | |||||||
\(294\) | 2.36115 | + | 1.71547i | 0.137705 | + | 0.100048i | ||||
\(295\) | 1.19522 | − | 1.21935i | 0.0695885 | − | 0.0709934i | ||||
\(296\) | −17.6884 | + | 12.8514i | −1.02812 | + | 0.746971i | ||||
\(297\) | −7.72062 | − | 10.6265i | −0.447996 | − | 0.616614i | ||||
\(298\) | −3.86354 | + | 1.25534i | −0.223809 | + | 0.0727199i | ||||
\(299\) | 11.6147 | 0.671696 | ||||||||
\(300\) | 3.64803 | + | 10.5081i | 0.210619 | + | 0.606687i | ||||
\(301\) | −0.957977 | −0.0552169 | ||||||||
\(302\) | 0.177346 | − | 0.0576233i | 0.0102051 | − | 0.00331585i | ||||
\(303\) | 13.1047 | + | 18.0371i | 0.752845 | + | 1.03620i | ||||
\(304\) | 8.59045 | − | 6.24133i | 0.492696 | − | 0.357965i | ||||
\(305\) | 3.26202 | − | 22.0173i | 0.186783 | − | 1.26071i | ||||
\(306\) | 26.2002 | + | 19.0356i | 1.49777 | + | 1.08819i | ||||
\(307\) | 13.8294i | 0.789286i | 0.918834 | + | 0.394643i | \(0.129132\pi\) | ||||
−0.918834 | + | 0.394643i | \(0.870868\pi\) | |||||||
\(308\) | 1.88638 | − | 2.59638i | 0.107486 | − | 0.147942i | ||||
\(309\) | −5.73983 | + | 17.6654i | −0.326528 | + | 1.00495i | ||||
\(310\) | −1.11258 | − | 1.09057i | −0.0631905 | − | 0.0619400i | ||||
\(311\) | 3.66490 | + | 11.2794i | 0.207818 | + | 0.639597i | 0.999586 | + | 0.0287752i | \(0.00916069\pi\) |
−0.791768 | + | 0.610821i | \(0.790839\pi\) | |||||||
\(312\) | 17.5295 | + | 5.69569i | 0.992414 | + | 0.322455i | ||||
\(313\) | 2.49543 | + | 0.810816i | 0.141050 | + | 0.0458300i | 0.378691 | − | 0.925523i | \(-0.376374\pi\) |
−0.237641 | + | 0.971353i | \(0.576374\pi\) | |||||||
\(314\) | 2.31125 | + | 7.11329i | 0.130431 | + | 0.401426i | ||||
\(315\) | −6.79467 | − | 6.66021i | −0.382836 | − | 0.375261i | ||||
\(316\) | −1.11214 | + | 3.42282i | −0.0625628 | + | 0.192549i | ||||
\(317\) | 12.6997 | − | 17.4796i | 0.713285 | − | 0.981753i | −0.286435 | − | 0.958100i | \(-0.592470\pi\) |
0.999720 | − | 0.0236532i | \(-0.00752976\pi\) | |||||||
\(318\) | 29.5326i | 1.65610i | ||||||||
\(319\) | 18.3680 | + | 13.3451i | 1.02841 | + | 0.747184i | ||||
\(320\) | −2.62550 | + | 17.7211i | −0.146770 | + | 0.990641i | ||||
\(321\) | −26.1634 | + | 19.0088i | −1.46030 | + | 1.06097i | ||||
\(322\) | −3.31006 | − | 4.55591i | −0.184463 | − | 0.253891i | ||||
\(323\) | −42.5795 | + | 13.8349i | −2.36919 | + | 0.769795i | ||||
\(324\) | −3.02281 | −0.167934 | ||||||||
\(325\) | 3.66462 | + | 10.5559i | 0.203277 | + | 0.585537i | ||||
\(326\) | 10.8558 | 0.601245 | ||||||||
\(327\) | −2.98481 | + | 0.969824i | −0.165060 | + | 0.0536314i | ||||
\(328\) | −1.17435 | − | 1.61635i | −0.0648425 | − | 0.0892480i | ||||
\(329\) | 1.39581 | − | 1.01412i | 0.0769538 | − | 0.0559102i | ||||
\(330\) | 17.7507 | − | 18.1090i | 0.977144 | − | 0.996870i | ||||
\(331\) | −23.0393 | − | 16.7390i | −1.26636 | − | 0.920061i | −0.267304 | − | 0.963612i | \(-0.586133\pi\) |
−0.999051 | + | 0.0435513i | \(0.986133\pi\) | |||||||
\(332\) | 8.74680i | 0.480043i | ||||||||
\(333\) | −17.8584 | + | 24.5800i | −0.978635 | + | 1.34698i | ||||
\(334\) | 2.63013 | − | 8.09472i | 0.143915 | − | 0.442923i | ||||
\(335\) | 5.44917 | − | 2.84543i | 0.297720 | − | 0.155463i | ||||
\(336\) | −1.38665 | − | 4.26766i | −0.0756477 | − | 0.232820i | ||||
\(337\) | −6.24267 | − | 2.02836i | −0.340060 | − | 0.110492i | 0.134009 | − | 0.990980i | \(-0.457215\pi\) |
−0.474068 | + | 0.880488i | \(0.657215\pi\) | |||||||
\(338\) | −8.24998 | − | 2.68058i | −0.448740 | − | 0.145804i | ||||
\(339\) | −16.1253 | − | 49.6287i | −0.875808 | − | 2.69546i | ||||
\(340\) | 5.77370 | − | 11.6171i | 0.313123 | − | 0.630023i | ||||
\(341\) | 0.772086 | − | 2.37624i | 0.0418108 | − | 0.128680i | ||||
\(342\) | 17.2727 | − | 23.7738i | 0.934001 | − | 1.28554i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 2.37313 | + | 1.72418i | 0.127950 | + | 0.0929614i | ||||
\(345\) | 14.4889 | + | 27.7472i | 0.780058 | + | 1.49386i | ||||
\(346\) | 17.9891 | − | 13.0698i | 0.967098 | − | 0.702637i | ||||
\(347\) | 8.09221 | + | 11.1380i | 0.434413 | + | 0.597918i | 0.968959 | − | 0.247221i | \(-0.0795175\pi\) |
−0.534546 | + | 0.845139i | \(0.679517\pi\) | |||||||
\(348\) | −12.3627 | + | 4.01688i | −0.662709 | + | 0.215327i | ||||
\(349\) | 14.7554 | 0.789836 | 0.394918 | − | 0.918716i | \(-0.370773\pi\) | ||||
0.394918 | + | 0.918716i | \(0.370773\pi\) | |||||||
\(350\) | 3.09622 | − | 4.44578i | 0.165500 | − | 0.237637i | ||||
\(351\) | 7.55451 | 0.403230 | ||||||||
\(352\) | −15.9604 | + | 5.18585i | −0.850692 | + | 0.276407i | ||||
\(353\) | 18.8654 | + | 25.9660i | 1.00411 | + | 1.38203i | 0.922773 | + | 0.385345i | \(0.125918\pi\) |
0.0813325 | + | 0.996687i | \(0.474082\pi\) | |||||||
\(354\) | 1.80296 | − | 1.30992i | 0.0958260 | − | 0.0696217i | ||||
\(355\) | −28.1083 | + | 4.74032i | −1.49184 | + | 0.251590i | ||||
\(356\) | 0.932760 | + | 0.677690i | 0.0494362 | + | 0.0359175i | ||||
\(357\) | 18.9199i | 1.00135i | ||||||||
\(358\) | 0.108843 | − | 0.149809i | 0.00575252 | − | 0.00791767i | ||||
\(359\) | −0.329224 | + | 1.01325i | −0.0173758 | + | 0.0534772i | −0.959368 | − | 0.282156i | \(-0.908950\pi\) |
0.941993 | + | 0.335633i | \(0.108950\pi\) | |||||||
\(360\) | 4.84482 | + | 28.7280i | 0.255344 | + | 1.51410i | ||||
\(361\) | 6.68236 | + | 20.5662i | 0.351703 | + | 1.08243i | ||||
\(362\) | 21.0270 | + | 6.83208i | 1.10515 | + | 0.359086i | ||||
\(363\) | 10.4985 | + | 3.41117i | 0.551028 | + | 0.179040i | ||||
\(364\) | 0.570381 | + | 1.75545i | 0.0298961 | + | 0.0920107i | ||||
\(365\) | 22.5389 | + | 3.33928i | 1.17974 | + | 0.174786i | ||||
\(366\) | 8.97723 | − | 27.6291i | 0.469247 | − | 1.44419i | ||||
\(367\) | 3.56817 | − | 4.91117i | 0.186257 | − | 0.256361i | −0.705669 | − | 0.708541i | \(-0.749354\pi\) |
0.891927 | + | 0.452180i | \(0.149354\pi\) | |||||||
\(368\) | 8.65836i | 0.451348i | ||||||||
\(369\) | −2.24610 | − | 1.63189i | −0.116927 | − | 0.0849526i | ||||
\(370\) | −15.4924 | − | 7.69974i | −0.805411 | − | 0.400290i | ||||
\(371\) | −8.18641 | + | 5.94778i | −0.425017 | + | 0.308793i | ||||
\(372\) | 0.840822 | + | 1.15729i | 0.0435946 | + | 0.0600028i | ||||
\(373\) | 36.0268 | − | 11.7058i | 1.86540 | − | 0.606104i | 0.872274 | − | 0.489017i | \(-0.162644\pi\) |
0.993122 | − | 0.117087i | \(-0.0373557\pi\) | |||||||
\(374\) | −29.5739 | −1.52923 | ||||||||
\(375\) | −20.6463 | + | 21.9228i | −1.06617 | + | 1.13209i | ||||
\(376\) | −5.28297 | −0.272448 | ||||||||
\(377\) | −12.4189 | + | 4.03514i | −0.639606 | + | 0.207821i | ||||
\(378\) | −2.15295 | − | 2.96329i | −0.110736 | − | 0.152415i | ||||
\(379\) | −0.378625 | + | 0.275087i | −0.0194486 | + | 0.0141303i | −0.597467 | − | 0.801893i | \(-0.703826\pi\) |
0.578018 | + | 0.816024i | \(0.303826\pi\) | |||||||
\(380\) | −10.5412 | − | 5.23900i | −0.540753 | − | 0.268755i | ||||
\(381\) | 1.72529 | + | 1.25350i | 0.0883892 | + | 0.0642185i | ||||
\(382\) | 0.638371i | 0.0326619i | ||||||||
\(383\) | 1.01849 | − | 1.40183i | 0.0520425 | − | 0.0716303i | −0.782203 | − | 0.623024i | \(-0.785904\pi\) |
0.834245 | + | 0.551394i | \(0.185904\pi\) | |||||||
\(384\) | −0.0358986 | + | 0.110485i | −0.00183194 | + | 0.00563815i | ||||
\(385\) | 8.59476 | + | 1.27337i | 0.438030 | + | 0.0648971i | ||||
\(386\) | 3.26370 | + | 10.0446i | 0.166118 | + | 0.511259i | ||||
\(387\) | 3.87671 | + | 1.25962i | 0.197064 | + | 0.0640300i | ||||
\(388\) | 8.69623 | + | 2.82558i | 0.441484 | + | 0.143447i | ||||
\(389\) | 1.42480 | + | 4.38509i | 0.0722403 | + | 0.222333i | 0.980657 | − | 0.195732i | \(-0.0627084\pi\) |
−0.908417 | + | 0.418065i | \(0.862708\pi\) | |||||||
\(390\) | 2.42532 | + | 14.3813i | 0.122811 | + | 0.728223i | ||||
\(391\) | 11.2812 | − | 34.7199i | 0.570513 | − | 1.75586i | ||||
\(392\) | 1.79981 | − | 2.47723i | 0.0909042 | − | 0.125119i | ||||
\(393\) | − | 5.53844i | − | 0.279377i | ||||||
\(394\) | −3.17641 | − | 2.30780i | −0.160025 | − | 0.116265i | ||||
\(395\) | −9.60785 | + | 1.62031i | −0.483423 | + | 0.0815267i | ||||
\(396\) | −11.0476 | + | 8.02658i | −0.555165 | + | 0.403351i | ||||
\(397\) | 18.8369 | + | 25.9268i | 0.945398 | + | 1.30123i | 0.953541 | + | 0.301262i | \(0.0974078\pi\) |
−0.00814343 | + | 0.999967i | \(0.502592\pi\) | |||||||
\(398\) | 3.97623 | − | 1.29196i | 0.199310 | − | 0.0647599i | ||||
\(399\) | 17.1678 | 0.859463 | ||||||||
\(400\) | −7.86908 | + | 2.73185i | −0.393454 | + | 0.136592i | ||||
\(401\) | −36.7072 | −1.83307 | −0.916535 | − | 0.399956i | \(-0.869026\pi\) | ||||
−0.916535 | + | 0.399956i | \(0.869026\pi\) | |||||||
\(402\) | 7.63088 | − | 2.47942i | 0.380593 | − | 0.123662i | ||||
\(403\) | 0.844646 | + | 1.16256i | 0.0420748 | + | 0.0579110i | ||||
\(404\) | 5.53087 | − | 4.01841i | 0.275171 | − | 0.199923i | ||||
\(405\) | −3.78800 | − | 7.25425i | −0.188227 | − | 0.360466i | ||||
\(406\) | 5.12205 | + | 3.72139i | 0.254203 | + | 0.184689i | ||||
\(407\) | − | 27.7451i | − | 1.37527i | ||||||
\(408\) | 34.0523 | − | 46.8689i | 1.68584 | − | 2.32036i | ||||
\(409\) | 5.85545 | − | 18.0212i | 0.289533 | − | 0.891091i | −0.695470 | − | 0.718555i | \(-0.744804\pi\) |
0.985003 | − | 0.172536i | \(-0.0551962\pi\) | |||||||
\(410\) | 0.703596 | − | 1.41568i | 0.0347481 | − | 0.0699155i | ||||
\(411\) | −6.62193 | − | 20.3802i | −0.326636 | − | 1.00528i | ||||
\(412\) | 5.41689 | + | 1.76005i | 0.266871 | + | 0.0867117i | ||||
\(413\) | 0.726220 | + | 0.235963i | 0.0357350 | + | 0.0116110i | ||||
\(414\) | 7.40460 | + | 22.7890i | 0.363916 | + | 1.12002i | ||||
\(415\) | −20.9908 | + | 10.9609i | −1.03040 | + | 0.538051i | ||||
\(416\) | 2.98258 | − | 9.17945i | 0.146233 | − | 0.450059i | ||||
\(417\) | 23.8970 | − | 32.8914i | 1.17024 | − | 1.61070i | ||||
\(418\) | 26.8351i | 1.31255i | ||||||||
\(419\) | 22.8721 | + | 16.6176i | 1.11738 | + | 0.811821i | 0.983809 | − | 0.179219i | \(-0.0573571\pi\) |
0.133566 | + | 0.991040i | \(0.457357\pi\) | |||||||
\(420\) | −3.48219 | + | 3.55249i | −0.169913 | + | 0.173344i | ||||
\(421\) | 19.1053 | − | 13.8808i | 0.931134 | − | 0.676509i | −0.0151360 | − | 0.999885i | \(-0.504818\pi\) |
0.946270 | + | 0.323377i | \(0.104818\pi\) | |||||||
\(422\) | 6.64781 | + | 9.14992i | 0.323610 | + | 0.445411i | ||||
\(423\) | −6.98197 | + | 2.26858i | −0.339475 | + | 0.110302i | ||||
\(424\) | 30.9845 | 1.50474 | ||||||||
\(425\) | 35.1142 | − | 0.701872i | 1.70329 | − | 0.0340458i | ||||
\(426\) | −37.2053 | −1.80260 | ||||||||
\(427\) | 9.46675 | − | 3.07593i | 0.458128 | − | 0.148855i | ||||
\(428\) | 5.82884 | + | 8.02271i | 0.281747 | + | 0.387792i | ||||
\(429\) | −18.9224 | + | 13.7480i | −0.913584 | + | 0.663758i | ||||
\(430\) | −0.340167 | + | 2.29599i | −0.0164043 | + | 0.110723i | ||||
\(431\) | −26.7969 | − | 19.4691i | −1.29076 | − | 0.937792i | −0.290939 | − | 0.956742i | \(-0.593968\pi\) |
−0.999820 | + | 0.0189497i | \(0.993968\pi\) | |||||||
\(432\) | 5.63163i | 0.270952i | ||||||||
\(433\) | −14.3451 | + | 19.7443i | −0.689381 | + | 0.948851i | −0.999999 | − | 0.00168384i | \(-0.999464\pi\) |
0.310618 | + | 0.950535i | \(0.399464\pi\) | |||||||
\(434\) | 0.215302 | − | 0.662631i | 0.0103348 | − | 0.0318073i | ||||
\(435\) | −25.1320 | − | 24.6346i | −1.20499 | − | 1.18114i | ||||
\(436\) | 0.297386 | + | 0.915259i | 0.0142422 | + | 0.0438329i | ||||
\(437\) | −31.5045 | − | 10.2364i | −1.50706 | − | 0.489675i | ||||
\(438\) | 28.2835 | + | 9.18987i | 1.35144 | + | 0.439109i | ||||
\(439\) | −3.83788 | − | 11.8118i | −0.183172 | − | 0.563745i | 0.816740 | − | 0.577006i | \(-0.195779\pi\) |
−0.999912 | + | 0.0132604i | \(0.995779\pi\) | |||||||
\(440\) | −18.9993 | − | 18.6234i | −0.905758 | − | 0.887835i | ||||
\(441\) | 1.31487 | − | 4.04676i | 0.0626130 | − | 0.192703i | ||||
\(442\) | 9.99771 | − | 13.7607i | 0.475543 | − | 0.654528i | ||||
\(443\) | 7.55360i | 0.358882i | 0.983769 | + | 0.179441i | \(0.0574289\pi\) | ||||
−0.983769 | + | 0.179441i | \(0.942571\pi\) | |||||||
\(444\) | 12.8513 | + | 9.33699i | 0.609894 | + | 0.443114i | ||||
\(445\) | −0.457465 | + | 3.08771i | −0.0216859 | + | 0.146371i | ||||
\(446\) | −8.83240 | + | 6.41711i | −0.418226 | + | 0.303859i | ||||
\(447\) | 5.93569 | + | 8.16978i | 0.280749 | + | 0.386417i | ||||
\(448\) | −7.61952 | + | 2.47573i | −0.359988 | + | 0.116967i | ||||
\(449\) | −5.46297 | −0.257813 | −0.128907 | − | 0.991657i | \(-0.541147\pi\) | ||||
−0.128907 | + | 0.991657i | \(0.541147\pi\) | |||||||
\(450\) | −18.3753 | + | 13.9199i | −0.866221 | + | 0.656190i | ||||
\(451\) | 2.53532 | 0.119384 | ||||||||
\(452\) | −15.2181 | + | 4.94465i | −0.715798 | + | 0.232577i | ||||
\(453\) | −0.272463 | − | 0.375014i | −0.0128014 | − | 0.0176197i | ||||
\(454\) | −16.5711 | + | 12.0396i | −0.777720 | + | 0.565046i | ||||
\(455\) | −3.49803 | + | 3.56864i | −0.163990 | + | 0.167301i | ||||
\(456\) | −42.5284 | − | 30.8987i | −1.99158 | − | 1.44697i | ||||
\(457\) | 0.354917i | 0.0166023i | 0.999966 | + | 0.00830116i | \(0.00264237\pi\) | ||||
−0.999966 | + | 0.00830116i | \(0.997358\pi\) | |||||||
\(458\) | 10.0405 | − | 13.8195i | 0.469160 | − | 0.645743i | ||||
\(459\) | 7.33757 | − | 22.5827i | 0.342488 | − | 1.05407i | ||||
\(460\) | 8.50835 | − | 4.44287i | 0.396704 | − | 0.207150i | ||||
\(461\) | 6.46313 | + | 19.8915i | 0.301018 | + | 0.926438i | 0.981133 | + | 0.193333i | \(0.0619296\pi\) |
−0.680115 | + | 0.733105i | \(0.738070\pi\) | |||||||
\(462\) | 10.7854 | + | 3.50438i | 0.501781 | + | 0.163039i | ||||
\(463\) | 8.89199 | + | 2.88918i | 0.413246 | + | 0.134272i | 0.508259 | − | 0.861204i | \(-0.330289\pi\) |
−0.0950132 | + | 0.995476i | \(0.530289\pi\) | |||||||
\(464\) | −3.00806 | − | 9.25786i | −0.139646 | − | 0.429785i | ||||
\(465\) | −1.72364 | + | 3.46808i | −0.0799320 | + | 0.160828i | ||||
\(466\) | −0.0779800 | + | 0.239998i | −0.00361236 | + | 0.0111177i | ||||
\(467\) | −12.0224 | + | 16.5474i | −0.556329 | + | 0.765721i | −0.990854 | − | 0.134939i | \(-0.956916\pi\) |
0.434525 | + | 0.900660i | \(0.356916\pi\) | |||||||
\(468\) | − | 7.85388i | − | 0.363046i | ||||||
\(469\) | 2.22413 | + | 1.61593i | 0.102701 | + | 0.0746165i | ||||
\(470\) | −1.93491 | − | 3.70547i | −0.0892508 | − | 0.170921i | ||||
\(471\) | 15.0416 | − | 10.9284i | 0.693082 | − | 0.503554i | ||||
\(472\) | −1.37432 | − | 1.89159i | −0.0632584 | − | 0.0870677i | ||||
\(473\) | −3.54018 | + | 1.15027i | −0.162778 | + | 0.0528896i | ||||
\(474\) | −12.7173 | −0.584127 | ||||||||
\(475\) | −0.636873 | − | 31.8623i | −0.0292217 | − | 1.46194i | ||||
\(476\) | 5.80158 | 0.265915 | ||||||||
\(477\) | 40.9491 | − | 13.3052i | 1.87493 | − | 0.609201i | ||||
\(478\) | 15.0123 | + | 20.6627i | 0.686647 | + | 0.945089i | ||||
\(479\) | 7.76930 | − | 5.64473i | 0.354988 | − | 0.257914i | −0.395970 | − | 0.918263i | \(-0.629592\pi\) |
0.750959 | + | 0.660349i | \(0.229592\pi\) | |||||||
\(480\) | 25.6501 | − | 4.32574i | 1.17076 | − | 0.197442i | ||||
\(481\) | 12.9097 | + | 9.37945i | 0.588632 | + | 0.427666i | ||||
\(482\) | − | 3.18087i | − | 0.144885i | ||||||
\(483\) | −8.22830 | + | 11.3253i | −0.374400 | + | 0.515318i | ||||
\(484\) | 1.04600 | − | 3.21925i | 0.0475453 | − | 0.146329i | ||||
\(485\) | 4.11667 | + | 24.4103i | 0.186928 | + | 1.10842i | ||||
\(486\) | −6.69637 | − | 20.6093i | −0.303754 | − | 0.934858i | ||||
\(487\) | −9.00420 | − | 2.92564i | −0.408019 | − | 0.132574i | 0.0978141 | − | 0.995205i | \(-0.468815\pi\) |
−0.505833 | + | 0.862631i | \(0.668815\pi\) | |||||||
\(488\) | −28.9874 | − | 9.41858i | −1.31220 | − | 0.426359i | ||||
\(489\) | −8.33904 | − | 25.6649i | −0.377104 | − | 1.16061i | ||||
\(490\) | 2.39671 | + | 0.355089i | 0.108272 | + | 0.0160413i | ||||
\(491\) | −12.8195 | + | 39.4544i | −0.578536 | + | 1.78055i | 0.0452724 | + | 0.998975i | \(0.485584\pi\) |
−0.623809 | + | 0.781577i | \(0.714416\pi\) | |||||||
\(492\) | −0.853206 | + | 1.17434i | −0.0384655 | + | 0.0529432i | ||||
\(493\) | 41.0431i | 1.84849i | ||||||||
\(494\) | −12.4863 | − | 9.07184i | −0.561786 | − | 0.408161i | ||||
\(495\) | −33.1066 | − | 16.4541i | −1.48803 | − | 0.739555i | ||||
\(496\) | −0.866645 | + | 0.629655i | −0.0389135 | + | 0.0282723i | ||||
\(497\) | −7.49305 | − | 10.3133i | −0.336109 | − | 0.462615i | ||||
\(498\) | −29.3950 | + | 9.55103i | −1.31722 | + | 0.427992i | ||||
\(499\) | 23.6709 | 1.05965 | 0.529827 | − | 0.848106i | \(-0.322257\pi\) | ||||
0.529827 | + | 0.848106i | \(0.322257\pi\) | |||||||
\(500\) | 6.72238 | + | 6.33095i | 0.300634 | + | 0.283129i | ||||
\(501\) | −21.1577 | −0.945257 | ||||||||
\(502\) | −11.4642 | + | 3.72495i | −0.511673 | + | 0.166253i | ||||
\(503\) | 10.3206 | + | 14.2051i | 0.460175 | + | 0.633376i | 0.974545 | − | 0.224192i | \(-0.0719743\pi\) |
−0.514370 | + | 0.857568i | \(0.671974\pi\) | |||||||
\(504\) | −10.5407 | + | 7.65823i | −0.469518 | + | 0.341125i | ||||
\(505\) | 16.5744 | + | 8.23753i | 0.737553 | + | 0.366565i | ||||
\(506\) | −17.7027 | − | 12.8618i | −0.786980 | − | 0.571775i | ||||
\(507\) | 21.5635i | 0.957670i | ||||||||
\(508\) | 0.384370 | − | 0.529040i | 0.0170537 | − | 0.0234724i | ||||
\(509\) | −4.63196 | + | 14.2557i | −0.205308 | + | 0.631873i | 0.794392 | + | 0.607405i | \(0.207789\pi\) |
−0.999701 | + | 0.0244686i | \(0.992211\pi\) | |||||||
\(510\) | 45.3456 | + | 6.71826i | 2.00794 | + | 0.297489i | ||||
\(511\) | 3.14879 | + | 9.69099i | 0.139294 | + | 0.428704i | ||||
\(512\) | 16.5460 | + | 5.37613i | 0.731237 | + | 0.237593i | ||||
\(513\) | −20.4914 | − | 6.65804i | −0.904715 | − | 0.293960i | ||||
\(514\) | 7.75032 | + | 23.8530i | 0.341852 | + | 1.05211i | ||||
\(515\) | 2.56428 | + | 15.2052i | 0.112996 | + | 0.670022i | ||||
\(516\) | 0.658572 | − | 2.02688i | 0.0289920 | − | 0.0892282i | ||||
\(517\) | 3.94051 | − | 5.42365i | 0.173303 | − | 0.238532i | ||||
\(518\) | − | 7.73692i | − | 0.339941i | ||||||
\(519\) | −44.7179 | − | 32.4895i | −1.96290 | − | 1.42613i | ||||
\(520\) | 15.0883 | − | 2.54456i | 0.661665 | − | 0.111586i | ||||
\(521\) | 11.2778 | − | 8.19378i | 0.494088 | − | 0.358976i | −0.312666 | − | 0.949863i | \(-0.601222\pi\) |
0.806754 | + | 0.590887i | \(0.201222\pi\) | |||||||
\(522\) | −15.8346 | − | 21.7944i | −0.693061 | − | 0.953916i | ||||
\(523\) | −3.89819 | + | 1.26660i | −0.170456 | + | 0.0553845i | −0.393002 | − | 0.919538i | \(-0.628563\pi\) |
0.222546 | + | 0.974922i | \(0.428563\pi\) | |||||||
\(524\) | −1.69830 | −0.0741906 | ||||||||
\(525\) | −12.8890 | − | 3.90491i | −0.562524 | − | 0.170424i | ||||
\(526\) | −31.3767 | −1.36809 | ||||||||
\(527\) | 4.29562 | − | 1.39573i | 0.187120 | − | 0.0607990i | ||||
\(528\) | −10.2486 | − | 14.1060i | −0.446014 | − | 0.613886i | ||||
\(529\) | 3.24513 | − | 2.35772i | 0.141092 | − | 0.102510i | ||||
\(530\) | 11.3482 | + | 21.7325i | 0.492934 | + | 0.943998i | ||||
\(531\) | −2.62858 | − | 1.90978i | −0.114071 | − | 0.0828772i | ||||
\(532\) | − | 5.26430i | − | 0.228236i | ||||||
\(533\) | −0.857086 | + | 1.17968i | −0.0371245 | + | 0.0510975i | ||||
\(534\) | −1.25896 | + | 3.87469i | −0.0544807 | + | 0.167674i | ||||
\(535\) | −11.9488 | + | 24.0418i | −0.516592 | + | 1.03942i | ||||
\(536\) | −2.60132 | − | 8.00603i | −0.112360 | − | 0.345808i | ||||
\(537\) | −0.437785 | − | 0.142245i | −0.0188918 | − | 0.00613832i | ||||
\(538\) | −9.68290 | − | 3.14616i | −0.417459 | − | 0.135641i | ||||
\(539\) | 1.20073 | + | 3.69547i | 0.0517192 | + | 0.159175i | ||||
\(540\) | 5.53406 | − | 2.88976i | 0.238148 | − | 0.124355i | ||||
\(541\) | 0.708335 | − | 2.18003i | 0.0304537 | − | 0.0937269i | −0.934674 | − | 0.355505i | \(-0.884309\pi\) |
0.965128 | + | 0.261778i | \(0.0843089\pi\) | |||||||
\(542\) | −9.17134 | + | 12.6233i | −0.393943 | + | 0.542216i | ||||
\(543\) | − | 54.9597i | − | 2.35855i | ||||||
\(544\) | −24.5432 | − | 17.8317i | −1.05228 | − | 0.764527i | ||||
\(545\) | −1.82380 | + | 1.86062i | −0.0781231 | + | 0.0797002i | ||||
\(546\) | −5.27666 | + | 3.83372i | −0.225820 | + | 0.164068i | ||||
\(547\) | 6.30500 | + | 8.67808i | 0.269582 | + | 0.371048i | 0.922249 | − | 0.386597i | \(-0.126350\pi\) |
−0.652666 | + | 0.757645i | \(0.726350\pi\) | |||||||
\(548\) | −6.24936 | + | 2.03054i | −0.266960 | + | 0.0867404i | ||||
\(549\) | −42.3542 | −1.80763 | ||||||||
\(550\) | 6.10382 | − | 20.1470i | 0.260268 | − | 0.859071i | ||||
\(551\) | 37.2421 | 1.58657 | ||||||||
\(552\) | 40.7667 | − | 13.2459i | 1.73515 | − | 0.563783i | ||||
\(553\) | −2.56124 | − | 3.52524i | −0.108915 | − | 0.149908i | ||||
\(554\) | 2.51557 | − | 1.82767i | 0.106877 | − | 0.0776503i | ||||
\(555\) | −6.30280 | + | 42.5414i | −0.267539 | + | 1.80578i | ||||
\(556\) | −10.0858 | − | 7.32775i | −0.427732 | − | 0.310766i | ||||
\(557\) | − | 16.7497i | − | 0.709709i | −0.934922 | − | 0.354854i | \(-0.884530\pi\) | ||
0.934922 | − | 0.354854i | \(-0.115470\pi\) | |||||||
\(558\) | −1.74255 | + | 2.39842i | −0.0737682 | + | 0.101533i | ||||
\(559\) | 0.661567 | − | 2.03609i | 0.0279813 | − | 0.0861176i | ||||
\(560\) | −2.66030 | − | 2.60766i | −0.112418 | − | 0.110194i | ||||
\(561\) | 22.7177 | + | 69.9180i | 0.959144 | + | 2.95194i | ||||
\(562\) | −27.0436 | − | 8.78700i | −1.14077 | − | 0.370657i | ||||
\(563\) | 17.8470 | + | 5.79885i | 0.752162 | + | 0.244392i | 0.659911 | − | 0.751343i | \(-0.270594\pi\) |
0.0922510 | + | 0.995736i | \(0.470594\pi\) | |||||||
\(564\) | 1.18609 | + | 3.65041i | 0.0499435 | + | 0.153710i | ||||
\(565\) | −30.9367 | − | 30.3245i | −1.30152 | − | 1.27576i | ||||
\(566\) | 7.23379 | − | 22.2633i | 0.304059 | − | 0.935797i | ||||
\(567\) | 2.15121 | − | 2.96089i | 0.0903425 | − | 0.124346i | ||||
\(568\) | 39.0345i | 1.63785i | ||||||||
\(569\) | 19.2376 | + | 13.9770i | 0.806483 | + | 0.585944i | 0.912809 | − | 0.408387i | \(-0.133909\pi\) |
−0.106326 | + | 0.994331i | \(0.533909\pi\) | |||||||
\(570\) | 6.09609 | − | 41.1462i | 0.255337 | − | 1.72342i | ||||
\(571\) | −22.4615 | + | 16.3193i | −0.939986 | + | 0.682940i | −0.948417 | − | 0.317024i | \(-0.897316\pi\) |
0.00843096 | + | 0.999964i | \(0.497316\pi\) | |||||||
\(572\) | 4.21566 | + | 5.80235i | 0.176265 | + | 0.242609i | ||||
\(573\) | 1.50922 | − | 0.490376i | 0.0630486 | − | 0.0204857i | ||||
\(574\) | 0.706994 | 0.0295093 | ||||||||
\(575\) | 21.3243 | + | 14.8511i | 0.889284 | + | 0.619333i | ||||
\(576\) | 34.0897 | 1.42040 | ||||||||
\(577\) | −20.4243 | + | 6.63627i | −0.850277 | + | 0.276272i | −0.701562 | − | 0.712609i | \(-0.747514\pi\) |
−0.148715 | + | 0.988880i | \(0.547514\pi\) | |||||||
\(578\) | −20.5970 | − | 28.3494i | −0.856724 | − | 1.17918i | ||||
\(579\) | 21.2402 | − | 15.4319i | 0.882714 | − | 0.641329i | ||||
\(580\) | −7.55394 | + | 7.70644i | −0.313660 | + | 0.319992i | ||||
\(581\) | −8.56762 | − | 6.22474i | −0.355445 | − | 0.258246i | ||||
\(582\) | 32.3105i | 1.33931i | ||||||||
\(583\) | −23.1110 | + | 31.8095i | −0.957159 | + | 1.31742i | ||||
\(584\) | 9.64167 | − | 29.6740i | 0.398975 | − | 1.22792i | ||||
\(585\) | 18.8480 | − | 9.84200i | 0.779269 | − | 0.406917i | ||||
\(586\) | −8.57028 | − | 26.3766i | −0.354035 | − | 1.08961i | ||||
\(587\) | 0.826003 | + | 0.268385i | 0.0340928 | + | 0.0110774i | 0.326014 | − | 0.945365i | \(-0.394294\pi\) |
−0.291921 | + | 0.956442i | \(0.594294\pi\) | |||||||
\(588\) | −2.11579 | − | 0.687461i | −0.0872536 | − | 0.0283504i | ||||
\(589\) | −1.26647 | − | 3.89781i | −0.0521842 | − | 0.160606i | ||||
\(590\) | 0.823409 | − | 1.65675i | 0.0338992 | − | 0.0682075i | ||||
\(591\) | −3.01602 | + | 9.28237i | −0.124063 | + | 0.381826i | ||||
\(592\) | −6.99206 | + | 9.62374i | −0.287372 | + | 0.395533i | ||||
\(593\) | − | 1.48792i | − | 0.0611015i | −0.999533 | − | 0.0305507i | \(-0.990274\pi\) | ||
0.999533 | − | 0.0305507i | \(-0.00972611\pi\) | |||||||
\(594\) | −11.5143 | − | 8.36562i | −0.472437 | − | 0.343246i | ||||
\(595\) | 7.27018 | + | 13.9228i | 0.298048 | + | 0.570780i | ||||
\(596\) | 2.50517 | − | 1.82011i | 0.102616 | − | 0.0745548i | ||||
\(597\) | −6.10882 | − | 8.40807i | −0.250017 | − | 0.344119i | ||||
\(598\) | 11.9691 | − | 3.88899i | 0.489452 | − | 0.159033i | ||||
\(599\) | −18.2242 | −0.744622 | −0.372311 | − | 0.928108i | \(-0.621435\pi\) | ||||
−0.372311 | + | 0.928108i | \(0.621435\pi\) | |||||||
\(600\) | 24.9010 | + | 32.8712i | 1.01658 | + | 1.34196i | ||||
\(601\) | 39.6429 | 1.61707 | 0.808534 | − | 0.588450i | \(-0.200262\pi\) | ||||
0.808534 | + | 0.588450i | \(0.200262\pi\) | |||||||
\(602\) | −0.987205 | + | 0.320762i | −0.0402355 | + | 0.0130733i | ||||
\(603\) | −6.87580 | − | 9.46373i | −0.280004 | − | 0.385393i | ||||
\(604\) | −0.114994 | + | 0.0835479i | −0.00467903 | + | 0.00339951i | ||||
\(605\) | 9.03643 | − | 1.52394i | 0.367383 | − | 0.0619571i | ||||
\(606\) | 19.5439 | + | 14.1995i | 0.793918 | + | 0.576815i | ||||
\(607\) | − | 37.1742i | − | 1.50885i | −0.656385 | − | 0.754426i | \(-0.727915\pi\) | ||
0.656385 | − | 0.754426i | \(-0.272085\pi\) | |||||||
\(608\) | −16.1803 | + | 22.2703i | −0.656198 | + | 0.903180i | ||||
\(609\) | 4.86342 | − | 14.9681i | 0.197076 | − | 0.606537i | ||||
\(610\) | −4.01059 | − | 23.7813i | −0.162384 | − | 0.962877i | ||||
\(611\) | 1.19149 | + | 3.66702i | 0.0482024 | + | 0.148352i | ||||
\(612\) | −23.4776 | − | 7.62834i | −0.949026 | − | 0.308357i | ||||
\(613\) | 25.4549 | + | 8.27079i | 1.02811 | + | 0.334054i | 0.774044 | − | 0.633132i | \(-0.218231\pi\) |
0.254069 | + | 0.967186i | \(0.418231\pi\) | |||||||
\(614\) | 4.63054 | + | 14.2514i | 0.186874 | + | 0.575138i | ||||
\(615\) | −3.88740 | − | 0.575944i | −0.156755 | − | 0.0232243i | ||||
\(616\) | 3.67667 | − | 11.3156i | 0.148137 | − | 0.455919i | ||||
\(617\) | 3.54694 | − | 4.88195i | 0.142794 | − | 0.196540i | −0.731629 | − | 0.681703i | \(-0.761240\pi\) |
0.874424 | + | 0.485163i | \(0.161240\pi\) | |||||||
\(618\) | 20.1262i | 0.809596i | ||||||||
\(619\) | −16.4516 | − | 11.9528i | −0.661246 | − | 0.480424i | 0.205837 | − | 0.978586i | \(-0.434008\pi\) |
−0.867084 | + | 0.498163i | \(0.834008\pi\) | |||||||
\(620\) | 1.06345 | + | 0.528535i | 0.0427091 | + | 0.0212265i | ||||
\(621\) | 14.2135 | − | 10.3267i | 0.570366 | − | 0.414395i | ||||
\(622\) | 7.55344 | + | 10.3964i | 0.302865 | + | 0.416858i | ||||
\(623\) | −1.32762 | + | 0.431368i | −0.0531898 | + | 0.0172824i | ||||
\(624\) | 10.0281 | 0.401446 | ||||||||
\(625\) | −6.76914 | + | 24.0661i | −0.270765 | + | 0.962645i | ||||
\(626\) | 2.84306 | 0.113631 | ||||||||
\(627\) | 63.4430 | − | 20.6139i | 2.53367 | − | 0.823239i | ||||
\(628\) | −3.35107 | − | 4.61235i | −0.133722 | − | 0.184053i | ||||
\(629\) | 40.5770 | − | 29.4809i | 1.61791 | − | 1.17548i | ||||
\(630\) | −9.23203 | − | 4.58834i | −0.367813 | − | 0.182804i | ||||
\(631\) | 14.5049 | + | 10.5384i | 0.577432 | + | 0.419529i | 0.837797 | − | 0.545981i | \(-0.183843\pi\) |
−0.260366 | + | 0.965510i | \(0.583843\pi\) | |||||||
\(632\) | 13.3426i | 0.530739i | ||||||||
\(633\) | 16.5254 | − | 22.7453i | 0.656826 | − | 0.904043i | ||||
\(634\) | 7.23440 | − | 22.2652i | 0.287315 | − | 0.884264i | ||||
\(635\) | 1.75128 | + | 0.259464i | 0.0694973 | + | 0.0102965i | ||||
\(636\) | −6.95639 | − | 21.4096i | −0.275839 | − | 0.848945i | ||||
\(637\) | −2.12541 | − | 0.690588i | −0.0842118 | − | 0.0273621i | ||||
\(638\) | 23.3968 | + | 7.60208i | 0.926288 | + | 0.300969i | ||||
\(639\) | 16.7619 | + | 51.5879i | 0.663092 | + | 2.04079i | ||||
\(640\) | 0.0160378 | + | 0.0950981i | 0.000633948 | + | 0.00375908i | ||||
\(641\) | 0.606586 | − | 1.86688i | 0.0239587 | − | 0.0737373i | −0.938362 | − | 0.345653i | \(-0.887657\pi\) |
0.962321 | + | 0.271916i | \(0.0876573\pi\) | |||||||
\(642\) | −20.5968 | + | 28.3491i | −0.812893 | + | 1.11885i | ||||
\(643\) | − | 44.6024i | − | 1.75895i | −0.475948 | − | 0.879474i | \(-0.657895\pi\) | ||
0.475948 | − | 0.879474i | \(-0.342105\pi\) | |||||||
\(644\) | 3.47277 | + | 2.52311i | 0.136846 | + | 0.0994247i | ||||
\(645\) | 5.68944 | − | 0.959493i | 0.224022 | − | 0.0377800i | ||||
\(646\) | −39.2462 | + | 28.5140i | −1.54412 | + | 1.12187i | ||||
\(647\) | 12.3281 | + | 16.9682i | 0.484668 | + | 0.667088i | 0.979394 | − | 0.201961i | \(-0.0647314\pi\) |
−0.494726 | + | 0.869049i | \(0.664731\pi\) | |||||||
\(648\) | −10.6581 | + | 3.46302i | −0.418689 | + | 0.136040i | ||||
\(649\) | 2.96706 | 0.116467 | ||||||||
\(650\) | 7.31090 | + | 9.65095i | 0.286757 | + | 0.378541i | ||||
\(651\) | −1.73197 | −0.0678811 | ||||||||
\(652\) | −7.86986 | + | 2.55707i | −0.308207 | + | 0.100143i | ||||
\(653\) | −14.5892 | − | 20.0803i | −0.570920 | − | 0.785805i | 0.421743 | − | 0.906715i | \(-0.361418\pi\) |
−0.992663 | + | 0.120911i | \(0.961418\pi\) | |||||||
\(654\) | −2.75115 | + | 1.99883i | −0.107578 | + | 0.0781603i | ||||
\(655\) | −2.12820 | − | 4.07563i | −0.0831558 | − | 0.159248i | ||||
\(656\) | −0.879409 | − | 0.638928i | −0.0343352 | − | 0.0249460i | ||||
\(657\) | − | 43.3574i | − | 1.69153i | ||||||
\(658\) | 1.09884 | − | 1.51242i | 0.0428373 | − | 0.0589604i | ||||
\(659\) | 4.63827 | − | 14.2751i | 0.180681 | − | 0.556080i | −0.819166 | − | 0.573557i | \(-0.805563\pi\) |
0.999847 | + | 0.0174764i | \(0.00556321\pi\) | |||||||
\(660\) | −8.60275 | + | 17.3093i | −0.334862 | + | 0.673763i | ||||
\(661\) | 6.93189 | + | 21.3342i | 0.269619 | + | 0.829803i | 0.990593 | + | 0.136841i | \(0.0436949\pi\) |
−0.720974 | + | 0.692963i | \(0.756305\pi\) | |||||||
\(662\) | −29.3470 | − | 9.53543i | −1.14060 | − | 0.370605i | ||||
\(663\) | −40.2126 | − | 13.0659i | −1.56173 | − | 0.507436i | ||||
\(664\) | 10.0206 | + | 30.8402i | 0.388874 | + | 1.19683i | ||||
\(665\) | 12.6334 | − | 6.59690i | 0.489904 | − | 0.255817i | ||||
\(666\) | −10.1731 | + | 31.3095i | −0.394199 | + | 1.21322i | ||||
\(667\) | −17.8497 | + | 24.5680i | −0.691143 | + | 0.951277i | ||||
\(668\) | 6.48778i | 0.251020i | ||||||||
\(669\) | 21.9559 | + | 15.9519i | 0.848866 | + | 0.616737i | ||||
\(670\) | 4.66268 | − | 4.75681i | 0.180135 | − | 0.183771i | ||||
\(671\) | 31.2908 | − | 22.7341i | 1.20797 | − | 0.877639i | ||||
\(672\) | 6.83773 | + | 9.41133i | 0.263771 | + | 0.363050i | ||||
\(673\) | 35.4813 | − | 11.5286i | 1.36770 | − | 0.444394i | 0.469096 | − | 0.883147i | \(-0.344580\pi\) |
0.898607 | + | 0.438754i | \(0.144580\pi\) | |||||||
\(674\) | −7.11229 | −0.273955 | ||||||||
\(675\) | 13.8699 | + | 9.65954i | 0.533852 | + | 0.371796i | ||||
\(676\) | 6.61221 | 0.254316 | ||||||||
\(677\) | −27.9149 | + | 9.07011i | −1.07286 | + | 0.348592i | −0.791600 | − | 0.611040i | \(-0.790751\pi\) |
−0.281257 | + | 0.959632i | \(0.590751\pi\) | |||||||
\(678\) | −33.2346 | − | 45.7436i | −1.27637 | − | 1.75677i | ||||
\(679\) | −8.95645 | + | 6.50724i | −0.343717 | + | 0.249725i | ||||
\(680\) | 7.04855 | − | 47.5749i | 0.270299 | − | 1.82441i | ||||
\(681\) | 41.1931 | + | 29.9285i | 1.57852 | + | 1.14686i | ||||
\(682\) | − | 2.70726i | − | 0.103666i | ||||||
\(683\) | −4.07402 | + | 5.60741i | −0.155888 | + | 0.214562i | −0.879816 | − | 0.475314i | \(-0.842335\pi\) |
0.723928 | + | 0.689875i | \(0.242335\pi\) | |||||||
\(684\) | −6.92189 | + | 21.3034i | −0.264665 | + | 0.814555i | ||||
\(685\) | −12.7043 | − | 12.4529i | −0.485405 | − | 0.475800i | ||||
\(686\) | 0.334833 | + | 1.03051i | 0.0127840 | + | 0.0393451i | ||||
\(687\) | −40.3845 | − | 13.1217i | −1.54077 | − | 0.500625i | ||||
\(688\) | 1.51784 | + | 0.493175i | 0.0578670 | + | 0.0188021i | ||||
\(689\) | −6.98803 | − | 21.5069i | −0.266223 | − | 0.819349i | ||||
\(690\) | 24.2217 | + | 23.7423i | 0.922103 | + | 0.903856i | ||||
\(691\) | 4.66411 | − | 14.3546i | 0.177431 | − | 0.546077i | −0.822305 | − | 0.569047i | \(-0.807312\pi\) |
0.999736 | + | 0.0229703i | \(0.00731231\pi\) | |||||||
\(692\) | −9.96254 | + | 13.7123i | −0.378719 | + | 0.521262i | ||||
\(693\) | − | 16.5335i | − | 0.628056i | ||||||
\(694\) | 12.0685 | + | 8.76825i | 0.458113 | + | 0.332838i | ||||
\(695\) | 4.94649 | − | 33.3868i | 0.187631 | − | 1.26644i | ||||
\(696\) | −38.9875 | + | 28.3261i | −1.47782 | + | 1.07370i | ||||
\(697\) | 2.69394 | + | 3.70789i | 0.102040 | + | 0.140446i | ||||
\(698\) | 15.2055 | − | 4.94058i | 0.575538 | − | 0.187004i | ||||
\(699\) | 0.627299 | 0.0237266 | ||||||||
\(700\) | −1.19740 | + | 3.95228i | −0.0452574 | + | 0.149382i | ||||
\(701\) | −22.7749 | −0.860195 | −0.430098 | − | 0.902782i | \(-0.641521\pi\) | ||||
−0.430098 | + | 0.902782i | \(0.641521\pi\) | |||||||
\(702\) | 7.78500 | − | 2.52950i | 0.293826 | − | 0.0954698i | ||||
\(703\) | −26.7507 | − | 36.8192i | −1.00892 | − | 1.38866i | ||||
\(704\) | −25.1850 | + | 18.2980i | −0.949196 | + | 0.689632i | ||||
\(705\) | −7.27404 | + | 7.42089i | −0.273956 | + | 0.279487i | ||||
\(706\) | 28.1353 | + | 20.4415i | 1.05889 | + | 0.769325i | ||||
\(707\) | 8.27731i | 0.311300i | ||||||||
\(708\) | −0.998496 | + | 1.37431i | −0.0375258 | + | 0.0516498i | ||||
\(709\) | 8.80251 | − | 27.0913i | 0.330585 | − | 1.01744i | −0.638271 | − | 0.769812i | \(-0.720350\pi\) |
0.968856 | − | 0.247625i | \(-0.0796499\pi\) | |||||||
\(710\) | −27.3787 | + | 14.2965i | −1.02750 | + | 0.536540i | ||||
\(711\) | 5.72948 | + | 17.6335i | 0.214872 | + | 0.661309i | ||||
\(712\) | 4.06519 | + | 1.32086i | 0.152349 | + | 0.0495013i | ||||
\(713\) | 3.17832 | + | 1.03270i | 0.119029 | + | 0.0386749i | ||||
\(714\) | 6.33501 | + | 19.4972i | 0.237082 | + | 0.729663i | ||||
\(715\) | −8.64187 | + | 17.3880i | −0.323188 | + | 0.650275i | ||||
\(716\) | −0.0436178 | + | 0.134242i | −0.00163007 | + | 0.00501685i | ||||
\(717\) | 37.3182 | − | 51.3641i | 1.39367 | − | 1.91823i | ||||
\(718\) | 1.15440i | 0.0430817i | ||||||||
\(719\) | −8.44303 | − | 6.13422i | −0.314872 | − | 0.228768i | 0.419112 | − | 0.907934i | \(-0.362341\pi\) |
−0.733984 | + | 0.679167i | \(0.762341\pi\) | |||||||
\(720\) | 7.33687 | + | 14.0505i | 0.273429 | + | 0.523632i | ||||
\(721\) | −5.57898 | + | 4.05337i | −0.207772 | + | 0.150955i | ||||
\(722\) | 13.7725 | + | 18.9562i | 0.512558 | + | 0.705476i | ||||
\(723\) | −7.52013 | + | 2.44344i | −0.279677 | + | 0.0908725i | ||||
\(724\) | −16.8528 | −0.626328 | ||||||||
\(725\) | −27.9603 | − | 8.47095i | −1.03842 | − | 0.314603i | ||||
\(726\) | 11.9610 | 0.443913 | ||||||||
\(727\) | −24.0315 | + | 7.80830i | −0.891279 | + | 0.289594i | −0.718633 | − | 0.695390i | \(-0.755232\pi\) |
−0.172646 | + | 0.984984i | \(0.555232\pi\) | |||||||
\(728\) | 4.02220 | + | 5.53608i | 0.149073 | + | 0.205181i | ||||
\(729\) | −34.6974 | + | 25.2092i | −1.28509 | + | 0.933673i | ||||
\(730\) | 24.3446 | − | 4.10559i | 0.901035 | − | 0.151955i | ||||
\(731\) | −5.44393 | − | 3.95524i | −0.201351 | − | 0.146290i | ||||
\(732\) | 22.1442i | 0.818474i | ||||||||
\(733\) | −15.9868 | + | 22.0040i | −0.590488 | + | 0.812736i | −0.994796 | − | 0.101886i | \(-0.967512\pi\) |
0.404308 | + | 0.914623i | \(0.367512\pi\) | |||||||
\(734\) | 2.03262 | − | 6.25575i | 0.0750253 | − | 0.230904i | ||||
\(735\) | −1.00158 | − | 5.93902i | −0.0369439 | − | 0.219064i | ||||
\(736\) | −6.93630 | − | 21.3477i | −0.255676 | − | 0.786888i | ||||
\(737\) | 10.1595 | + | 3.30103i | 0.374230 | + | 0.121595i | ||||
\(738\) | −2.86104 | − | 0.929607i | −0.105316 | − | 0.0342193i | ||||
\(739\) | 15.5929 | + | 47.9900i | 0.573594 | + | 1.76534i | 0.640917 | + | 0.767610i | \(0.278554\pi\) |
−0.0673231 | + | 0.997731i | \(0.521446\pi\) | |||||||
\(740\) | 13.0448 | + | 1.93268i | 0.479538 | + | 0.0710468i | ||||
\(741\) | −11.8558 | + | 36.4885i | −0.435535 | + | 1.34044i | ||||
\(742\) | −6.44467 | + | 8.87032i | −0.236591 | + | 0.325640i | ||||
\(743\) | − | 12.4526i | − | 0.456841i | −0.973563 | − | 0.228421i | \(-0.926644\pi\) | ||
0.973563 | − | 0.228421i | \(-0.0733562\pi\) | |||||||
\(744\) | 4.29047 | + | 3.11721i | 0.157296 | + | 0.114282i | ||||
\(745\) | 7.50729 | + | 3.73114i | 0.275046 | + | 0.136698i | ||||
\(746\) | 33.2065 | − | 24.1259i | 1.21578 | − | 0.883312i | ||||
\(747\) | 26.4864 | + | 36.4554i | 0.969087 | + | 1.33383i | ||||
\(748\) | 21.4396 | − | 6.96614i | 0.783908 | − | 0.254707i | ||||
\(749\) | −12.0065 | −0.438708 | ||||||||
\(750\) | −13.9357 | + | 29.5047i | −0.508860 | + | 1.07736i | ||||
\(751\) | 25.4002 | 0.926868 | 0.463434 | − | 0.886131i | \(-0.346617\pi\) | ||||
0.463434 | + | 0.886131i | \(0.346617\pi\) | |||||||
\(752\) | −2.73363 | + | 0.888212i | −0.0996854 | + | 0.0323897i | ||||
\(753\) | 17.6129 | + | 24.2420i | 0.641849 | + | 0.883429i | ||||
\(754\) | −11.4467 | + | 8.31651i | −0.416864 | + | 0.302870i | ||||
\(755\) | −0.344604 | − | 0.171269i | −0.0125414 | − | 0.00623311i | ||||
\(756\) | 2.25878 | + | 1.64110i | 0.0821511 | + | 0.0596862i | ||||
\(757\) | − | 49.1681i | − | 1.78705i | −0.449018 | − | 0.893523i | \(-0.648226\pi\) | ||
0.449018 | − | 0.893523i | \(-0.351774\pi\) | |||||||
\(758\) | −0.298068 | + | 0.410256i | −0.0108263 | + | 0.0149012i | ||||
\(759\) | −16.8088 | + | 51.7322i | −0.610122 | + | 1.87776i | ||||
\(760\) | −43.1691 | − | 6.39579i | −1.56591 | − | 0.232000i | ||||
\(761\) | 1.49278 | + | 4.59430i | 0.0541131 | + | 0.166543i | 0.974461 | − | 0.224559i | \(-0.0720940\pi\) |
−0.920347 | + | 0.391102i | \(0.872094\pi\) | |||||||
\(762\) | 2.19764 | + | 0.714056i | 0.0796120 | + | 0.0258675i | ||||
\(763\) | −1.10815 | − | 0.360059i | −0.0401176 | − | 0.0130350i | ||||
\(764\) | −0.150368 | − | 0.462786i | −0.00544013 | − | 0.0167430i | ||||
\(765\) | −11.1140 | − | 65.9017i | −0.401826 | − | 2.38268i | ||||
\(766\) | 0.580186 | − | 1.78563i | 0.0209630 | − | 0.0645173i | ||||
\(767\) | −1.00304 | + | 1.38056i | −0.0362176 | + | 0.0498492i | ||||
\(768\) | − | 43.0330i | − | 1.55282i | ||||||
\(769\) | 15.6362 | + | 11.3604i | 0.563856 | + | 0.409665i | 0.832868 | − | 0.553471i | \(-0.186697\pi\) |
−0.269012 | + | 0.963137i | \(0.586697\pi\) | |||||||
\(770\) | 9.28335 | − | 1.56559i | 0.334549 | − | 0.0564198i | ||||
\(771\) | 50.4392 | − | 36.6463i | 1.81652 | − | 1.31978i | ||||
\(772\) | −4.73203 | − | 6.51308i | −0.170309 | − | 0.234411i | ||||
\(773\) | 42.0704 | − | 13.6695i | 1.51317 | − | 0.491658i | 0.569341 | − | 0.822101i | \(-0.307198\pi\) |
0.943826 | + | 0.330443i | \(0.107198\pi\) | |||||||
\(774\) | 4.41675 | 0.158757 | ||||||||
\(775\) | 0.0642507 | + | 3.21442i | 0.00230795 | + | 0.115466i | ||||
\(776\) | 33.8990 | 1.21690 | ||||||||
\(777\) | −18.2914 | + | 5.94325i | −0.656202 | + | 0.213213i | ||||
\(778\) | 2.93654 | + | 4.04181i | 0.105280 | + | 0.144906i | ||||
\(779\) | 3.36451 | − | 2.44446i | 0.120546 | − | 0.0875818i | ||||
\(780\) | −5.14573 | − | 9.85438i | −0.184247 | − | 0.352843i | ||||
\(781\) | −40.0739 | − | 29.1154i | −1.43396 | − | 1.04183i | ||||
\(782\) | − | 39.5565i | − | 1.41454i | ||||||
\(783\) | −11.6099 | + | 15.9797i | −0.414904 | + | 0.571067i | ||||
\(784\) | 0.514809 | − | 1.58442i | 0.0183860 | − | 0.0565864i | ||||
\(785\) | 6.86952 | − | 13.8219i | 0.245184 | − | 0.493325i | ||||
\(786\) | −1.85445 | − | 5.70741i | −0.0661461 | − | 0.203577i | ||||
\(787\) | 49.0264 | + | 15.9296i | 1.74760 | + | 0.567830i | 0.995800 | − | 0.0915580i | \(-0.0291847\pi\) |
0.751802 | + | 0.659388i | \(0.229185\pi\) | |||||||
\(788\) | 2.84633 | + | 0.924830i | 0.101396 | + | 0.0329457i | ||||
\(789\) | 24.1025 | + | 74.1799i | 0.858072 | + | 2.64088i | ||||
\(790\) | −9.35845 | + | 4.88677i | −0.332959 | + | 0.173864i | ||||
\(791\) | 5.98673 | − | 18.4253i | 0.212864 | − | 0.655127i | ||||
\(792\) | −29.7572 | + | 40.9573i | −1.05738 | + | 1.45535i | ||||
\(793\) | 22.2449i | 0.789941i | ||||||||
\(794\) | 28.0928 | + | 20.4106i | 0.996976 | + | 0.724345i | ||||
\(795\) | 42.6621 | − | 43.5233i | 1.51307 | − | 1.54361i | ||||
\(796\) | −2.57824 | + | 1.87320i | −0.0913833 | + | 0.0663939i | ||||
\(797\) | −1.21019 | − | 1.66569i | −0.0428672 | − | 0.0590017i | 0.787045 | − | 0.616895i | \(-0.211610\pi\) |
−0.829913 | + | 0.557893i | \(0.811610\pi\) | |||||||
\(798\) | 17.6915 | − | 5.74833i | 0.626274 | − | 0.203489i | ||||
\(799\) | 12.1191 | 0.428742 | ||||||||
\(800\) | 17.2132 | − | 13.0395i | 0.608578 | − | 0.461018i | ||||
\(801\) | 5.93974 | 0.209870 | ||||||||
\(802\) | −37.8271 | + | 12.2908i | −1.33572 | + | 0.434002i | ||||
\(803\) | 23.2726 | + | 32.0319i | 0.821271 | + | 1.13038i | ||||
\(804\) | −4.94796 | + | 3.59490i | −0.174501 | + | 0.126782i | ||||
\(805\) | −1.70319 | + | 11.4959i | −0.0600296 | + | 0.405176i | ||||
\(806\) | 1.25968 | + | 0.915210i | 0.0443703 | + | 0.0322369i | ||||
\(807\) | 25.3089i | 0.890914i | ||||||||
\(808\) | 14.8976 | − | 20.5048i | 0.524095 | − | 0.721355i | ||||
\(809\) | 14.1045 | − | 43.4092i | 0.495888 | − | 1.52619i | −0.319681 | − | 0.947525i | \(-0.603576\pi\) |
0.815569 | − | 0.578660i | \(-0.196424\pi\) | |||||||
\(810\) | −6.33254 | − | 6.20722i | −0.222503 | − | 0.218100i | ||||
\(811\) | −14.5558 | − | 44.7982i | −0.511123 | − | 1.57308i | −0.790227 | − | 0.612815i | \(-0.790037\pi\) |
0.279103 | − | 0.960261i | \(-0.409963\pi\) | |||||||
\(812\) | −4.58979 | − | 1.49131i | −0.161070 | − | 0.0523349i | ||||
\(813\) | 36.8887 | + | 11.9859i | 1.29374 | + | 0.420363i | ||||
\(814\) | −9.28997 | − | 28.5916i | −0.325613 | − | 1.00213i | ||||
\(815\) | −15.9986 | − | 15.6820i | −0.560405 | − | 0.549316i | ||||
\(816\) | 9.74014 | − | 29.9771i | 0.340973 | − | 1.04941i | ||||
\(817\) | −3.58895 | + | 4.93977i | −0.125562 | + | 0.172821i | ||||
\(818\) | − | 20.5316i | − | 0.717872i | ||||||
\(819\) | 7.69300 | + | 5.58929i | 0.268815 | + | 0.195306i | ||||
\(820\) | −0.176607 | + | 1.19203i | −0.00616738 | + | 0.0416274i | ||||
\(821\) | −15.0760 | + | 10.9534i | −0.526157 | + | 0.382276i | −0.818918 | − | 0.573910i | \(-0.805426\pi\) |
0.292761 | + | 0.956186i | \(0.405426\pi\) | |||||||
\(822\) | −13.6479 | − | 18.7848i | −0.476026 | − | 0.655194i | ||||
\(823\) | −20.6075 | + | 6.69579i | −0.718334 | + | 0.233401i | −0.645301 | − | 0.763929i | \(-0.723268\pi\) |
−0.0730330 | + | 0.997330i | \(0.523268\pi\) | |||||||
\(824\) | 21.1157 | 0.735600 | ||||||||
\(825\) | −52.3198 | + | 1.04578i | −1.82154 | + | 0.0364095i | ||||
\(826\) | 0.827386 | 0.0287884 | ||||||||
\(827\) | −10.5250 | + | 3.41978i | −0.365990 | + | 0.118917i | −0.486238 | − | 0.873827i | \(-0.661631\pi\) |
0.120248 | + | 0.992744i | \(0.461631\pi\) | |||||||
\(828\) | −10.7359 | − | 14.7767i | −0.373098 | − | 0.513526i | ||||
\(829\) | 23.5312 | − | 17.0964i | 0.817272 | − | 0.593783i | −0.0986576 | − | 0.995121i | \(-0.531455\pi\) |
0.915930 | + | 0.401338i | \(0.131455\pi\) | |||||||
\(830\) | −17.9612 | + | 18.3238i | −0.623442 | + | 0.636028i | ||||
\(831\) | −6.25332 | − | 4.54330i | −0.216925 | − | 0.157605i | ||||
\(832\) | − | 17.9043i | − | 0.620720i | ||||||
\(833\) | −4.12875 | + | 5.68273i | −0.143053 | + | 0.196895i | ||||
\(834\) | 13.6130 | − | 41.8964i | 0.471379 | − | 1.45075i | ||||
\(835\) | −15.5696 | + | 8.13008i | −0.538807 | + | 0.281353i | ||||
\(836\) | −6.32102 | − | 19.4541i | −0.218617 | − | 0.672834i | ||||
\(837\) | 2.06726 | + | 0.671695i | 0.0714551 | + | 0.0232172i | ||||
\(838\) | 29.1340 | + | 9.46622i | 1.00642 | + | 0.327005i | ||||
\(839\) | −5.14999 | − | 15.8500i | −0.177797 | − | 0.547204i | 0.821953 | − | 0.569556i | \(-0.192885\pi\) |
−0.999750 | + | 0.0223515i | \(0.992885\pi\) | |||||||
\(840\) | −8.20796 | + | 16.5150i | −0.283202 | + | 0.569820i | ||||
\(841\) | 1.58877 | − | 4.88972i | 0.0547850 | − | 0.168611i | ||||
\(842\) | 15.0404 | − | 20.7014i | 0.518327 | − | 0.713417i | ||||
\(843\) | 70.6858i | 2.43455i | ||||||||
\(844\) | −6.97458 | − | 5.06733i | −0.240075 | − | 0.174425i | ||||
\(845\) | 8.28602 | + | 15.8682i | 0.285048 | + | 0.545883i | ||||
\(846\) | −6.43540 | + | 4.67559i | −0.221253 | + | 0.160750i | ||||
\(847\) | 2.40891 | + | 3.31558i | 0.0827710 | + | 0.113925i | ||||
\(848\) | 16.0327 | − | 5.20933i | 0.550565 | − | 0.178889i | ||||
\(849\) | −58.1912 | −1.99712 | ||||||||
\(850\) | 35.9505 | − | 12.4807i | 1.23309 | − | 0.428084i | ||||
\(851\) | 37.1103 | 1.27212 | ||||||||
\(852\) | 26.9719 | − | 8.76371i | 0.924043 | − | 0.300240i | ||||
\(853\) | −15.2772 | − | 21.0273i | −0.523083 | − | 0.719962i | 0.462974 | − | 0.886372i | \(-0.346782\pi\) |
−0.986057 | + | 0.166410i | \(0.946782\pi\) | |||||||
\(854\) | 8.72566 | − | 6.33956i | 0.298586 | − | 0.216935i | ||||
\(855\) | −59.7986 | + | 10.0847i | −2.04507 | + | 0.344890i | ||||
\(856\) | 29.7429 | + | 21.6094i | 1.01659 | + | 0.738596i | ||||
\(857\) | − | 6.76094i | − | 0.230949i | −0.993310 | − | 0.115475i | \(-0.963161\pi\) | ||
0.993310 | − | 0.115475i | \(-0.0368389\pi\) | |||||||
\(858\) | −14.8965 | + | 20.5033i | −0.508558 | + | 0.699970i | ||||
\(859\) | 2.69769 | − | 8.30264i | 0.0920440 | − | 0.283282i | −0.894428 | − | 0.447212i | \(-0.852417\pi\) |
0.986472 | + | 0.163930i | \(0.0524170\pi\) | |||||||
\(860\) | −0.294218 | − | 1.74460i | −0.0100327 | − | 0.0594905i | ||||
\(861\) | −0.543089 | − | 1.67146i | −0.0185084 | − | 0.0569631i | ||||
\(862\) | −34.1333 | − | 11.0906i | −1.16259 | − | 0.377747i | ||||
\(863\) | −37.8185 | − | 12.2880i | −1.28736 | − | 0.418288i | −0.416191 | − | 0.909277i | \(-0.636635\pi\) |
−0.871166 | + | 0.490989i | \(0.836635\pi\) | |||||||
\(864\) | −4.51155 | − | 13.8851i | −0.153486 | − | 0.472382i | ||||
\(865\) | −45.3915 | − | 6.72507i | −1.54336 | − | 0.228659i | ||||
\(866\) | −8.17170 | + | 25.1499i | −0.277686 | + | 0.854629i | ||||
\(867\) | −51.2010 | + | 70.4721i | −1.73888 | + | 2.39336i | ||||
\(868\) | 0.531088i | 0.0180263i | ||||||||
\(869\) | −13.6978 | − | 9.95207i | −0.464668 | − | 0.337601i | ||||
\(870\) | −34.1472 | − | 16.9712i | −1.15770 | − | 0.575379i | ||||
\(871\) | −4.97046 | + | 3.61125i | −0.168418 | + | 0.122363i | ||||
\(872\) | 2.09709 | + | 2.88640i | 0.0710166 | + | 0.0977459i | ||||
\(873\) | 44.8008 | − | 14.5567i | 1.51628 | − | 0.492669i | ||||
\(874\) | −35.8932 | −1.21411 | ||||||||
\(875\) | −10.9853 | + | 2.07920i | −0.371371 | + | 0.0702897i | ||||
\(876\) | −22.6687 | −0.765906 | ||||||||
\(877\) | 37.8198 | − | 12.2884i | 1.27708 | − | 0.414950i | 0.409532 | − | 0.912296i | \(-0.365692\pi\) |
0.867552 | + | 0.497346i | \(0.165692\pi\) | |||||||
\(878\) | −7.90995 | − | 10.8871i | −0.266948 | − | 0.367422i | ||||
\(879\) | −55.7756 | + | 40.5233i | −1.88126 | + | 1.36682i | ||||
\(880\) | −12.9622 | − | 6.44222i | −0.436954 | − | 0.217167i | ||||
\(881\) | −26.7746 | − | 19.4529i | −0.902058 | − | 0.655384i | 0.0369355 | − | 0.999318i | \(-0.488240\pi\) |
−0.938994 | + | 0.343934i | \(0.888240\pi\) | |||||||
\(882\) | − | 4.61049i | − | 0.155243i | ||||||
\(883\) | −26.3380 | + | 36.2512i | −0.886345 | + | 1.21995i | 0.0882779 | + | 0.996096i | \(0.471864\pi\) |
−0.974623 | + | 0.223853i | \(0.928136\pi\) | |||||||
\(884\) | −4.00650 | + | 12.3307i | −0.134753 | + | 0.414727i | ||||
\(885\) | −4.54937 | − | 0.674020i | −0.152925 | − | 0.0226570i | ||||
\(886\) | 2.52919 | + | 7.78406i | 0.0849699 | + | 0.261511i | ||||
\(887\) | −27.1205 | − | 8.81200i | −0.910618 | − | 0.295878i | −0.184006 | − | 0.982925i | \(-0.558906\pi\) |
−0.726613 | + | 0.687047i | \(0.758906\pi\) | |||||||
\(888\) | 56.0088 | + | 18.1984i | 1.87953 | + | 0.610697i | ||||
\(889\) | 0.244662 | + | 0.752993i | 0.00820571 | + | 0.0252546i | ||||
\(890\) | 0.562444 | + | 3.33509i | 0.0188532 | + | 0.111792i | ||||
\(891\) | 4.39452 | − | 13.5249i | 0.147222 | − | 0.453102i | ||||
\(892\) | 4.89148 | − | 6.73255i | 0.163779 | − | 0.225422i | ||||
\(893\) | − | 10.9968i | − | 0.367992i | ||||||
\(894\) | 8.85230 | + | 6.43157i | 0.296065 | + | 0.215104i | ||||
\(895\) | −0.376817 | + | 0.0635481i | −0.0125956 | + | 0.00212418i | ||||
\(896\) | −0.0348927 | + | 0.0253510i | −0.00116568 | + | 0.000846917i | ||||
\(897\) | −18.3885 | − | 25.3096i | −0.613974 | − | 0.845063i | ||||
\(898\) | −5.62964 | + | 1.82918i | −0.187864 | + | 0.0610406i | ||||
\(899\) | −3.75716 | −0.125308 | ||||||||
\(900\) | 10.0423 | − | 14.4195i | 0.334744 | − | 0.480650i | ||||
\(901\) | −71.0781 | −2.36795 | ||||||||
\(902\) | 2.61268 | − | 0.848910i | 0.0869926 | − | 0.0282656i | ||||
\(903\) | 1.51668 | + | 2.08753i | 0.0504718 | + | 0.0694685i | ||||
\(904\) | −47.9925 | + | 34.8686i | −1.59621 | + | 1.15971i | ||||
\(905\) | −21.1188 | − | 40.4438i | −0.702014 | − | 1.34440i | ||||
\(906\) | −0.406343 | − | 0.295226i | −0.0134999 | − | 0.00980822i | ||||
\(907\) | 36.1881i | 1.20161i | 0.799396 | + | 0.600804i | \(0.205153\pi\) | ||||
−0.799396 | + | 0.600804i | \(0.794847\pi\) | |||||||
\(908\) | 9.17725 | − | 12.6314i | 0.304558 | − | 0.419188i | ||||
\(909\) | 10.8836 | − | 33.4963i | 0.360987 | − | 1.11100i | ||||
\(910\) | −2.40985 | + | 4.84878i | −0.0798858 | + | 0.160735i | ||||
\(911\) | 10.1760 | + | 31.3186i | 0.337147 | + | 1.03763i | 0.965655 | + | 0.259828i | \(0.0836658\pi\) |
−0.628508 | + | 0.777803i | \(0.716334\pi\) | |||||||
\(912\) | −27.2009 | − | 8.83812i | −0.900713 | − | 0.292659i | ||||
\(913\) | −39.1357 | − | 12.7159i | −1.29520 | − | 0.420836i | ||||
\(914\) | 0.118838 | + | 0.365745i | 0.00393081 | + | 0.0120978i | ||||
\(915\) | −53.1424 | + | 27.7498i | −1.75683 | + | 0.917379i | ||||
\(916\) | −4.02363 | + | 12.3835i | −0.132944 | + | 0.409161i | ||||
\(917\) | 1.20861 | − | 1.66351i | 0.0399119 | − | 0.0549340i | ||||
\(918\) | − | 25.7286i | − | 0.849169i | ||||||
\(919\) | 5.51905 | + | 4.00983i | 0.182057 | + | 0.132272i | 0.675081 | − | 0.737744i | \(-0.264109\pi\) |
−0.493024 | + | 0.870016i | \(0.664109\pi\) | |||||||
\(920\) | 24.9096 | − | 25.4125i | 0.821245 | − | 0.837824i | ||||
\(921\) | 30.1357 | − | 21.8948i | 0.993004 | − | 0.721460i | ||||
\(922\) | 13.3206 | + | 18.3343i | 0.438692 | + | 0.603807i | ||||
\(923\) | 27.0946 | − | 8.80357i | 0.891829 | − | 0.289773i | ||||
\(924\) | −8.64429 | −0.284376 | ||||||||
\(925\) | 11.7089 | + | 33.7274i | 0.384986 | + | 1.10895i | ||||
\(926\) | 10.1307 | 0.332915 | ||||||||
\(927\) | 27.9065 | − | 9.06737i | 0.916570 | − | 0.297811i | ||||
\(928\) | 14.8331 | + | 20.4161i | 0.486921 | + | 0.670190i | ||||
\(929\) | 7.76195 | − | 5.63939i | 0.254661 | − | 0.185022i | −0.453129 | − | 0.891445i | \(-0.649692\pi\) |
0.707790 | + | 0.706423i | \(0.249692\pi\) | |||||||
\(930\) | −0.615002 | + | 4.15102i | −0.0201667 | + | 0.136117i | ||||
\(931\) | 5.15646 | + | 3.74639i | 0.168996 | + | 0.122783i | ||||
\(932\) | − | 0.192354i | − | 0.00630077i | ||||||
\(933\) | 18.7766 | − | 25.8438i | 0.614720 | − | 0.846089i | ||||
\(934\) | −6.84856 | + | 21.0777i | −0.224092 | + | 0.689684i | ||||
\(935\) | 43.5843 | + | 42.7218i | 1.42536 | + | 1.39715i | ||||
\(936\) | −8.99764 | − | 27.6919i | −0.294097 | − | 0.905138i | ||||
\(937\) | −4.64554 | − | 1.50943i | −0.151763 | − | 0.0493108i | 0.232150 | − | 0.972680i | \(-0.425424\pi\) |
−0.383913 | + | 0.923369i | \(0.625424\pi\) | |||||||
\(938\) | 2.83306 | + | 0.920516i | 0.0925025 | + | 0.0300559i | ||||
\(939\) | −2.18394 | − | 6.72149i | −0.0712703 | − | 0.219347i | ||||
\(940\) | 2.27553 | + | 2.23050i | 0.0742197 | + | 0.0727510i | ||||
\(941\) | −11.4243 | + | 35.1605i | −0.372423 | + | 1.14620i | 0.572778 | + | 0.819711i | \(0.305866\pi\) |
−0.945201 | + | 0.326490i | \(0.894134\pi\) | |||||||
\(942\) | 11.8414 | − | 16.2983i | 0.385813 | − | 0.531026i | ||||
\(943\) | 3.39111i | 0.110430i | ||||||||
\(944\) | −1.02916 | − | 0.747730i | −0.0334964 | − | 0.0243365i | ||||
\(945\) | −1.10780 | + | 7.47722i | −0.0360368 | + | 0.243234i | ||||
\(946\) | −3.26304 | + | 2.37074i | −0.106091 | + | 0.0770793i | ||||
\(947\) | −20.4890 | − | 28.2007i | −0.665804 | − | 0.916400i | 0.333852 | − | 0.942625i | \(-0.391651\pi\) |
−0.999656 | + | 0.0262251i | \(0.991651\pi\) | |||||||
\(948\) | 9.21941 | − | 2.99557i | 0.299432 | − | 0.0972915i | ||||
\(949\) | −22.7718 | −0.739205 | ||||||||
\(950\) | −11.3249 | − | 32.6212i | −0.367427 | − | 1.05837i | ||||
\(951\) | −58.1960 | −1.88714 | ||||||||
\(952\) | 20.4557 | − | 6.64646i | 0.662973 | − | 0.215413i | ||||
\(953\) | −10.1623 | − | 13.9872i | −0.329189 | − | 0.453090i | 0.612056 | − | 0.790814i | \(-0.290343\pi\) |
−0.941245 | + | 0.337725i | \(0.890343\pi\) | |||||||
\(954\) | 37.7434 | − | 27.4222i | 1.22199 | − | 0.887826i | ||||
\(955\) | 0.922176 | − | 0.940793i | 0.0298409 | − | 0.0304433i | ||||
\(956\) | −15.7502 | − | 11.4432i | −0.509399 | − | 0.370100i | ||||
\(957\) | − | 61.1538i | − | 1.97682i | ||||||
\(958\) | 6.11630 | − | 8.41837i | 0.197609 | − | 0.271985i | ||||
\(959\) | 2.45847 | − | 7.56640i | 0.0793882 | − | 0.244332i | ||||
\(960\) | 42.7728 | − | 22.3350i | 1.38049 | − | 0.720859i | ||||
\(961\) | −9.45176 | − | 29.0895i | −0.304895 | − | 0.938372i | ||||
\(962\) | 16.4441 | + | 5.34302i | 0.530180 | + | 0.172266i | ||||
\(963\) | 48.5875 | + | 15.7870i | 1.56571 | + | 0.508730i | ||||
\(964\) | 0.749253 | + | 2.30596i | 0.0241318 | + | 0.0742701i | ||||
\(965\) | 9.70041 | − | 19.5179i | 0.312267 | − | 0.628302i | ||||
\(966\) | −4.68726 | + | 14.4259i | −0.150810 | + | 0.464146i | ||||
\(967\) | 22.9780 | − | 31.6265i | 0.738922 | − | 1.01704i | −0.259758 | − | 0.965674i | \(-0.583643\pi\) |
0.998680 | − | 0.0513647i | \(-0.0163571\pi\) | |||||||
\(968\) | − | 12.5490i | − | 0.403341i | ||||||
\(969\) | 97.5598 | + | 70.8814i | 3.13407 | + | 2.27704i | ||||
\(970\) | 12.4156 | + | 23.7767i | 0.398642 | + | 0.763423i | ||||
\(971\) | −24.0642 | + | 17.4837i | −0.772258 | + | 0.561078i | −0.902646 | − | 0.430385i | \(-0.858378\pi\) |
0.130387 | + | 0.991463i | \(0.458378\pi\) | |||||||
\(972\) | 9.70904 | + | 13.3634i | 0.311418 | + | 0.428630i | ||||
\(973\) | 14.3553 | − | 4.66431i | 0.460209 | − | 0.149531i | ||||
\(974\) | −10.2585 | −0.328704 | ||||||||
\(975\) | 17.2005 | − | 24.6978i | 0.550858 | − | 0.790963i | ||||
\(976\) | −16.5828 | −0.530803 | ||||||||
\(977\) | −23.4027 | + | 7.60399i | −0.748717 | + | 0.243273i | −0.658429 | − | 0.752643i | \(-0.728779\pi\) |
−0.0902882 | + | 0.995916i | \(0.528779\pi\) | |||||||
\(978\) | −17.1869 | − | 23.6558i | −0.549577 | − | 0.756428i | ||||
\(979\) | −4.38821 | + | 3.18822i | −0.140248 | + | 0.101896i | ||||
\(980\) | −1.82113 | + | 0.307124i | −0.0581740 | + | 0.00981072i | ||||
\(981\) | 4.01098 | + | 2.91415i | 0.128061 | + | 0.0930416i | ||||
\(982\) | 44.9505i | 1.43443i | ||||||||
\(983\) | −2.58100 | + | 3.55244i | −0.0823212 | + | 0.113305i | −0.848192 | − | 0.529690i | \(-0.822308\pi\) |
0.765870 | + | 0.642995i | \(0.222308\pi\) | |||||||
\(984\) | −1.66295 | + | 5.11804i | −0.0530129 | + | 0.163157i | ||||
\(985\) | 1.34741 | + | 7.98966i | 0.0429321 | + | 0.254572i | ||||
\(986\) | 13.7426 | + | 42.2953i | 0.437653 | + | 1.34696i | ||||
\(987\) | −4.41973 | − | 1.43606i | −0.140682 | − | 0.0457102i | ||||
\(988\) | 11.1888 | + | 3.63546i | 0.355963 | + | 0.115659i | ||||
\(989\) | −1.53854 | − | 4.73514i | −0.0489228 | − | 0.150569i | ||||
\(990\) | −39.6261 | − | 5.87088i | −1.25940 | − | 0.186589i | ||||
\(991\) | 7.11743 | − | 21.9052i | 0.226093 | − | 0.695842i | −0.772086 | − | 0.635518i | \(-0.780787\pi\) |
0.998179 | − | 0.0603238i | \(-0.0192133\pi\) | |||||||
\(992\) | 1.63235 | − | 2.24673i | 0.0518271 | − | 0.0713338i | ||||
\(993\) | 76.7063i | 2.43420i | ||||||||
\(994\) | −11.1749 | − | 8.11904i | −0.354446 | − | 0.257520i | ||||
\(995\) | −7.72626 | − | 3.83996i | −0.244939 | − | 0.121735i | ||||
\(996\) | 19.0601 | − | 13.8480i | 0.603943 | − | 0.438791i | ||||
\(997\) | −20.3652 | − | 28.0303i | −0.644972 | − | 0.887728i | 0.353897 | − | 0.935285i | \(-0.384856\pi\) |
−0.998869 | + | 0.0475568i | \(0.984856\pi\) | |||||||
\(998\) | 24.3931 | − | 7.92579i | 0.772149 | − | 0.250886i | ||||
\(999\) | 24.1375 | 0.763677 |
(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 | 175.2.n.a.169.9 | yes | 56 | |
5.2 | odd | 4 | 875.2.h.e.526.10 | 56 | |||
5.3 | odd | 4 | 875.2.h.d.526.5 | 56 | |||
5.4 | even | 2 | 875.2.n.c.99.6 | 56 | |||
25.2 | odd | 20 | 4375.2.a.o.1.21 | 28 | |||
25.3 | odd | 20 | 875.2.h.d.351.5 | 56 | |||
25.4 | even | 10 | inner | 175.2.n.a.29.9 | ✓ | 56 | |
25.21 | even | 5 | 875.2.n.c.274.6 | 56 | |||
25.22 | odd | 20 | 875.2.h.e.351.10 | 56 | |||
25.23 | odd | 20 | 4375.2.a.p.1.8 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.n.a.29.9 | ✓ | 56 | 25.4 | even | 10 | inner | |
175.2.n.a.169.9 | yes | 56 | 1.1 | even | 1 | trivial | |
875.2.h.d.351.5 | 56 | 25.3 | odd | 20 | |||
875.2.h.d.526.5 | 56 | 5.3 | odd | 4 | |||
875.2.h.e.351.10 | 56 | 25.22 | odd | 20 | |||
875.2.h.e.526.10 | 56 | 5.2 | odd | 4 | |||
875.2.n.c.99.6 | 56 | 5.4 | even | 2 | |||
875.2.n.c.274.6 | 56 | 25.21 | even | 5 | |||
4375.2.a.o.1.21 | 28 | 25.2 | odd | 20 | |||
4375.2.a.p.1.8 | 28 | 25.23 | odd | 20 |