Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(59,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.17 | ||
Character | \(\chi\) | \(=\) | 315.59 |
Dual form | 315.2.u.a.299.17 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.413705 | + | 0.716558i | −0.292534 | + | 0.506683i | −0.974408 | − | 0.224786i | \(-0.927832\pi\) |
0.681874 | + | 0.731469i | \(0.261165\pi\) | |||||||
\(3\) | 1.72082 | + | 0.196965i | 0.993513 | + | 0.113718i | ||||
\(4\) | 0.657696 | + | 1.13916i | 0.328848 | + | 0.569582i | ||||
\(5\) | −2.23428 | + | 0.0894268i | −0.999200 | + | 0.0399929i | ||||
\(6\) | −0.853047 | + | 1.15158i | −0.348255 | + | 0.470130i | ||||
\(7\) | −1.49622 | + | 2.18205i | −0.565518 | + | 0.824736i | ||||
\(8\) | −2.74319 | −0.969864 | ||||||||
\(9\) | 2.92241 | + | 0.677881i | 0.974137 | + | 0.225960i | ||||
\(10\) | 0.860253 | − | 1.63799i | 0.272036 | − | 0.517977i | ||||
\(11\) | − | 0.680855i | − | 0.205286i | −0.994718 | − | 0.102643i | \(-0.967270\pi\) | ||
0.994718 | − | 0.102643i | \(-0.0327299\pi\) | |||||||
\(12\) | 0.907398 | + | 2.08983i | 0.261943 | + | 0.603283i | ||||
\(13\) | −2.83242 | + | 4.90589i | −0.785571 | + | 1.36065i | 0.143086 | + | 0.989710i | \(0.454298\pi\) |
−0.928657 | + | 0.370939i | \(0.879036\pi\) | |||||||
\(14\) | −0.944570 | − | 1.97485i | −0.252447 | − | 0.527801i | ||||
\(15\) | −3.86240 | − | 0.286188i | −0.997266 | − | 0.0738934i | ||||
\(16\) | −0.180521 | + | 0.312672i | −0.0451303 | + | 0.0781680i | ||||
\(17\) | −0.121625 | − | 0.0702202i | −0.0294984 | − | 0.0170309i | 0.485178 | − | 0.874415i | \(-0.338755\pi\) |
−0.514677 | + | 0.857384i | \(0.672088\pi\) | |||||||
\(18\) | −1.69476 | + | 1.81363i | −0.399458 | + | 0.427478i | ||||
\(19\) | 5.71783 | − | 3.30119i | 1.31176 | − | 0.757344i | 0.329372 | − | 0.944200i | \(-0.393163\pi\) |
0.982387 | + | 0.186856i | \(0.0598297\pi\) | |||||||
\(20\) | −1.57135 | − | 2.48639i | −0.351364 | − | 0.555974i | ||||
\(21\) | −3.00450 | + | 3.46020i | −0.655636 | + | 0.755077i | ||||
\(22\) | 0.487872 | + | 0.281673i | 0.104015 | + | 0.0600529i | ||||
\(23\) | 3.85953 | 0.804768 | 0.402384 | − | 0.915471i | \(-0.368182\pi\) | ||||
0.402384 | + | 0.915471i | \(0.368182\pi\) | |||||||
\(24\) | −4.72052 | − | 0.540312i | −0.963572 | − | 0.110291i | ||||
\(25\) | 4.98401 | − | 0.399609i | 0.996801 | − | 0.0799217i | ||||
\(26\) | −2.34357 | − | 4.05919i | −0.459612 | − | 0.796072i | ||||
\(27\) | 4.89541 | + | 1.74212i | 0.942122 | + | 0.335271i | ||||
\(28\) | −3.46977 | − | 0.269314i | −0.655724 | − | 0.0508956i | ||||
\(29\) | 5.41301 | − | 3.12520i | 1.00517 | − | 0.580335i | 0.0953962 | − | 0.995439i | \(-0.469588\pi\) |
0.909774 | + | 0.415104i | \(0.136255\pi\) | |||||||
\(30\) | 1.80296 | − | 2.64923i | 0.329174 | − | 0.483682i | ||||
\(31\) | −3.62325 | + | 2.09188i | −0.650755 | + | 0.375713i | −0.788745 | − | 0.614720i | \(-0.789269\pi\) |
0.137991 | + | 0.990434i | \(0.455936\pi\) | |||||||
\(32\) | −2.89255 | − | 5.01005i | −0.511336 | − | 0.885660i | ||||
\(33\) | 0.134105 | − | 1.17163i | 0.0233446 | − | 0.203954i | ||||
\(34\) | 0.100634 | − | 0.0581009i | 0.0172585 | − | 0.00996423i | ||||
\(35\) | 3.14784 | − | 5.00910i | 0.532082 | − | 0.846693i | ||||
\(36\) | 1.14984 | + | 3.77494i | 0.191640 | + | 0.629157i | ||||
\(37\) | 3.51452 | − | 2.02911i | 0.577783 | − | 0.333583i | −0.182469 | − | 0.983212i | \(-0.558409\pi\) |
0.760252 | + | 0.649628i | \(0.225076\pi\) | |||||||
\(38\) | 5.46287i | 0.886195i | ||||||||
\(39\) | −5.84036 | + | 7.88425i | −0.935206 | + | 1.26249i | ||||
\(40\) | 6.12905 | − | 0.245315i | 0.969088 | − | 0.0387876i | ||||
\(41\) | −3.69597 | + | 6.40161i | −0.577214 | + | 0.999763i | 0.418584 | + | 0.908178i | \(0.362527\pi\) |
−0.995797 | + | 0.0915850i | \(0.970807\pi\) | |||||||
\(42\) | −1.23645 | − | 3.58440i | −0.190789 | − | 0.553085i | ||||
\(43\) | −1.46959 | + | 0.848469i | −0.224111 | + | 0.129390i | −0.607852 | − | 0.794050i | \(-0.707969\pi\) |
0.383742 | + | 0.923441i | \(0.374635\pi\) | |||||||
\(44\) | 0.775605 | − | 0.447796i | 0.116927 | − | 0.0675078i | ||||
\(45\) | −6.59010 | − | 1.25323i | −0.982394 | − | 0.186821i | ||||
\(46\) | −1.59671 | + | 2.76558i | −0.235422 | + | 0.407763i | ||||
\(47\) | −0.604618 | − | 0.349076i | −0.0881926 | − | 0.0509180i | 0.455255 | − | 0.890361i | \(-0.349548\pi\) |
−0.543448 | + | 0.839443i | \(0.682881\pi\) | |||||||
\(48\) | −0.372229 | + | 0.502494i | −0.0537266 | + | 0.0725288i | ||||
\(49\) | −2.52266 | − | 6.52964i | −0.360380 | − | 0.932806i | ||||
\(50\) | −1.77557 | + | 3.73665i | −0.251103 | + | 0.528442i | ||||
\(51\) | −0.195463 | − | 0.144792i | −0.0273703 | − | 0.0202749i | ||||
\(52\) | −7.45148 | −1.03333 | ||||||||
\(53\) | −2.01127 | + | 3.48363i | −0.276270 | + | 0.478513i | −0.970455 | − | 0.241283i | \(-0.922432\pi\) |
0.694185 | + | 0.719797i | \(0.255765\pi\) | |||||||
\(54\) | −3.27359 | + | 2.78712i | −0.445479 | + | 0.379279i | ||||
\(55\) | 0.0608867 | + | 1.52122i | 0.00820996 | + | 0.205121i | ||||
\(56\) | 4.10441 | − | 5.98577i | 0.548475 | − | 0.799882i | ||||
\(57\) | 10.4895 | − | 4.55452i | 1.38937 | − | 0.603261i | ||||
\(58\) | 5.17165i | 0.679070i | ||||||||
\(59\) | 0.288174 | + | 0.499132i | 0.0375170 | + | 0.0649814i | 0.884174 | − | 0.467157i | \(-0.154722\pi\) |
−0.846657 | + | 0.532139i | \(0.821388\pi\) | |||||||
\(60\) | −2.21427 | − | 4.58812i | −0.285861 | − | 0.592324i | ||||
\(61\) | 7.48252 | + | 4.32004i | 0.958039 | + | 0.553124i | 0.895569 | − | 0.444923i | \(-0.146769\pi\) |
0.0624701 | + | 0.998047i | \(0.480102\pi\) | |||||||
\(62\) | − | 3.46169i | − | 0.439635i | ||||||
\(63\) | −5.85173 | + | 5.36258i | −0.737249 | + | 0.675621i | ||||
\(64\) | 4.06457 | 0.508072 | ||||||||
\(65\) | 5.88969 | − | 11.2144i | 0.730527 | − | 1.39098i | ||||
\(66\) | 0.784058 | + | 0.580801i | 0.0965109 | + | 0.0714917i | ||||
\(67\) | 8.42002 | − | 4.86130i | 1.02867 | − | 0.593902i | 0.112066 | − | 0.993701i | \(-0.464253\pi\) |
0.916603 | + | 0.399799i | \(0.130920\pi\) | |||||||
\(68\) | − | 0.184734i | − | 0.0224023i | ||||||
\(69\) | 6.64154 | + | 0.760193i | 0.799548 | + | 0.0915165i | ||||
\(70\) | 2.28704 | + | 4.32790i | 0.273353 | + | 0.517283i | ||||
\(71\) | − | 13.5808i | − | 1.61175i | −0.592087 | − | 0.805874i | \(-0.701696\pi\) | ||
0.592087 | − | 0.805874i | \(-0.298304\pi\) | |||||||
\(72\) | −8.01672 | − | 1.85956i | −0.944780 | − | 0.219151i | ||||
\(73\) | 5.74989 | − | 9.95910i | 0.672974 | − | 1.16562i | −0.304083 | − | 0.952645i | \(-0.598350\pi\) |
0.977057 | − | 0.212979i | \(-0.0683166\pi\) | |||||||
\(74\) | 3.35781i | 0.390337i | ||||||||
\(75\) | 8.65526 | + | 0.294022i | 0.999424 | + | 0.0339508i | ||||
\(76\) | 7.52118 | + | 4.34236i | 0.862739 | + | 0.498103i | ||||
\(77\) | 1.48566 | + | 1.01871i | 0.169306 | + | 0.116093i | ||||
\(78\) | −3.23334 | − | 7.44671i | −0.366103 | − | 0.843174i | ||||
\(79\) | −2.05544 | + | 3.56013i | −0.231256 | + | 0.400546i | −0.958178 | − | 0.286173i | \(-0.907617\pi\) |
0.726922 | + | 0.686720i | \(0.240950\pi\) | |||||||
\(80\) | 0.375374 | − | 0.714740i | 0.0419680 | − | 0.0799103i | ||||
\(81\) | 8.08095 | + | 3.96209i | 0.897884 | + | 0.440232i | ||||
\(82\) | −3.05808 | − | 5.29676i | −0.337709 | − | 0.584929i | ||||
\(83\) | −6.39254 | + | 3.69073i | −0.701672 | + | 0.405111i | −0.807970 | − | 0.589224i | \(-0.799434\pi\) |
0.106298 | + | 0.994334i | \(0.466100\pi\) | |||||||
\(84\) | −5.91778 | − | 1.14686i | −0.645683 | − | 0.125133i | ||||
\(85\) | 0.278024 | + | 0.146015i | 0.0301559 | + | 0.0158376i | ||||
\(86\) | − | 1.40406i | − | 0.151404i | ||||||
\(87\) | 9.93034 | − | 4.31172i | 1.06464 | − | 0.462265i | ||||
\(88\) | 1.86771i | 0.199099i | ||||||||
\(89\) | 4.72665 | + | 8.18679i | 0.501024 | + | 0.867798i | 0.999999 | + | 0.00118245i | \(0.000376385\pi\) |
−0.498976 | + | 0.866616i | \(0.666290\pi\) | |||||||
\(90\) | 3.62437 | − | 4.20372i | 0.382042 | − | 0.443111i | ||||
\(91\) | −6.46697 | − | 13.5208i | −0.677922 | − | 1.41736i | ||||
\(92\) | 2.53840 | + | 4.39664i | 0.264647 | + | 0.458381i | ||||
\(93\) | −6.64697 | + | 2.88609i | −0.689259 | + | 0.299274i | ||||
\(94\) | 0.500267 | − | 0.288829i | 0.0515986 | − | 0.0297905i | ||||
\(95\) | −12.4800 | + | 7.88710i | −1.28042 | + | 0.809200i | ||||
\(96\) | −3.99075 | − | 9.19110i | −0.407304 | − | 0.938063i | ||||
\(97\) | −6.39767 | − | 11.0811i | −0.649584 | − | 1.12511i | −0.983222 | − | 0.182412i | \(-0.941610\pi\) |
0.333638 | − | 0.942701i | \(-0.391724\pi\) | |||||||
\(98\) | 5.72250 | + | 0.893715i | 0.578060 | + | 0.0902789i | ||||
\(99\) | 0.461539 | − | 1.98974i | 0.0463864 | − | 0.199976i | ||||
\(100\) | 3.73318 | + | 5.41478i | 0.373318 | + | 0.541478i | ||||
\(101\) | −15.6725 | −1.55947 | −0.779736 | − | 0.626109i | \(-0.784647\pi\) | ||||
−0.779736 | + | 0.626109i | \(0.784647\pi\) | |||||||
\(102\) | 0.184616 | − | 0.0801596i | 0.0182797 | − | 0.00793698i | ||||
\(103\) | 10.3306 | 1.01790 | 0.508951 | − | 0.860795i | \(-0.330033\pi\) | ||||
0.508951 | + | 0.860795i | \(0.330033\pi\) | |||||||
\(104\) | 7.76986 | − | 13.4578i | 0.761897 | − | 1.31965i | ||||
\(105\) | 6.40347 | − | 7.99973i | 0.624914 | − | 0.780693i | ||||
\(106\) | −1.66415 | − | 2.88239i | −0.161636 | − | 0.279963i | ||||
\(107\) | 4.89261 | + | 8.47425i | 0.472987 | + | 0.819237i | 0.999522 | − | 0.0309163i | \(-0.00984253\pi\) |
−0.526535 | + | 0.850153i | \(0.676509\pi\) | |||||||
\(108\) | 1.23513 | + | 6.72245i | 0.118851 | + | 0.646869i | ||||
\(109\) | 2.89816 | − | 5.01976i | 0.277593 | − | 0.480806i | −0.693193 | − | 0.720752i | \(-0.743797\pi\) |
0.970786 | + | 0.239947i | \(0.0771299\pi\) | |||||||
\(110\) | −1.11523 | − | 0.585708i | −0.106333 | − | 0.0558450i | ||||
\(111\) | 6.44750 | − | 2.79948i | 0.611969 | − | 0.265715i | ||||
\(112\) | −0.412165 | − | 0.861731i | −0.0389460 | − | 0.0814260i | ||||
\(113\) | 0.865706 | − | 1.49945i | 0.0814388 | − | 0.141056i | −0.822429 | − | 0.568867i | \(-0.807382\pi\) |
0.903868 | + | 0.427811i | \(0.140715\pi\) | |||||||
\(114\) | −1.07600 | + | 9.40059i | −0.100776 | + | 0.880446i | ||||
\(115\) | −8.62327 | + | 0.345145i | −0.804124 | + | 0.0321850i | ||||
\(116\) | 7.12023 | + | 4.11087i | 0.661097 | + | 0.381684i | ||||
\(117\) | −11.6031 | + | 12.4170i | −1.07271 | + | 1.14795i | ||||
\(118\) | −0.476876 | −0.0439000 | ||||||||
\(119\) | 0.335201 | − | 0.160327i | 0.0307279 | − | 0.0146971i | ||||
\(120\) | 10.5953 | + | 0.785068i | 0.967212 | + | 0.0716666i | ||||
\(121\) | 10.5364 | 0.957858 | ||||||||
\(122\) | −6.19112 | + | 3.57444i | −0.560517 | + | 0.323615i | ||||
\(123\) | −7.62097 | + | 10.2880i | −0.687160 | + | 0.927638i | ||||
\(124\) | −4.76599 | − | 2.75165i | −0.427999 | − | 0.247105i | ||||
\(125\) | −11.0999 | + | 1.33854i | −0.992807 | + | 0.119723i | ||||
\(126\) | −1.42171 | − | 6.41163i | −0.126656 | − | 0.571194i | ||||
\(127\) | 0.129214i | 0.0114659i | 0.999984 | + | 0.00573294i | \(0.00182486\pi\) | ||||
−0.999984 | + | 0.00573294i | \(0.998175\pi\) | |||||||
\(128\) | 4.10357 | − | 7.10760i | 0.362708 | − | 0.628229i | ||||
\(129\) | −2.69601 | + | 1.17060i | −0.237371 | + | 0.103066i | ||||
\(130\) | 5.59919 | + | 8.85977i | 0.491082 | + | 0.777054i | ||||
\(131\) | 4.64296 | 0.405657 | 0.202829 | − | 0.979214i | \(-0.434987\pi\) | ||||
0.202829 | + | 0.979214i | \(0.434987\pi\) | |||||||
\(132\) | 1.42287 | − | 0.617807i | 0.123845 | − | 0.0537732i | ||||
\(133\) | −1.35177 | + | 17.4159i | −0.117214 | + | 1.51015i | ||||
\(134\) | 8.04457i | 0.694945i | ||||||||
\(135\) | −11.0935 | − | 3.45460i | −0.954776 | − | 0.297325i | ||||
\(136\) | 0.333640 | + | 0.192627i | 0.0286094 | + | 0.0165177i | ||||
\(137\) | 2.23918 | 0.191306 | 0.0956529 | − | 0.995415i | \(-0.469506\pi\) | ||||
0.0956529 | + | 0.995415i | \(0.469506\pi\) | |||||||
\(138\) | −3.29236 | + | 4.44456i | −0.280265 | + | 0.378346i | ||||
\(139\) | −12.9285 | − | 7.46426i | −1.09658 | − | 0.633110i | −0.161259 | − | 0.986912i | \(-0.551555\pi\) |
−0.935320 | + | 0.353802i | \(0.884889\pi\) | |||||||
\(140\) | 7.77651 | + | 0.291433i | 0.657235 | + | 0.0246306i | ||||
\(141\) | −0.971680 | − | 0.719784i | −0.0818302 | − | 0.0606168i | ||||
\(142\) | 9.73145 | + | 5.61846i | 0.816645 | + | 0.471490i | ||||
\(143\) | 3.34020 | + | 1.92847i | 0.279322 | + | 0.161266i | ||||
\(144\) | −0.739511 | + | 0.791383i | −0.0616259 | + | 0.0659486i | ||||
\(145\) | −11.8147 | + | 7.46664i | −0.981157 | + | 0.620071i | ||||
\(146\) | 4.75752 | + | 8.24026i | 0.393735 | + | 0.681969i | ||||
\(147\) | −3.05491 | − | 11.7332i | −0.251965 | − | 0.967736i | ||||
\(148\) | 4.62297 | + | 2.66907i | 0.380006 | + | 0.219396i | ||||
\(149\) | 6.18686i | 0.506848i | 0.967355 | + | 0.253424i | \(0.0815567\pi\) | ||||
−0.967355 | + | 0.253424i | \(0.918443\pi\) | |||||||
\(150\) | −3.79141 | + | 6.08036i | −0.309567 | + | 0.496459i | ||||
\(151\) | −17.4515 | −1.42018 | −0.710091 | − | 0.704110i | \(-0.751346\pi\) | ||||
−0.710091 | + | 0.704110i | \(0.751346\pi\) | |||||||
\(152\) | −15.6851 | + | 9.05578i | −1.27223 | + | 0.734521i | ||||
\(153\) | −0.307837 | − | 0.287659i | −0.0248872 | − | 0.0232559i | ||||
\(154\) | −1.34459 | + | 0.643115i | −0.108350 | + | 0.0518237i | ||||
\(155\) | 7.90828 | − | 4.99787i | 0.635208 | − | 0.401438i | ||||
\(156\) | −12.8226 | − | 1.46768i | −1.02663 | − | 0.117509i | ||||
\(157\) | −2.51702 | − | 4.35961i | −0.200880 | − | 0.347935i | 0.747932 | − | 0.663775i | \(-0.231047\pi\) |
−0.948812 | + | 0.315840i | \(0.897714\pi\) | |||||||
\(158\) | −1.70070 | − | 2.94569i | −0.135300 | − | 0.234347i | ||||
\(159\) | −4.14719 | + | 5.59853i | −0.328893 | + | 0.443993i | ||||
\(160\) | 6.91081 | + | 10.9352i | 0.546347 | + | 0.864502i | ||||
\(161\) | −5.77471 | + | 8.42168i | −0.455111 | + | 0.663721i | ||||
\(162\) | −6.18220 | + | 4.15134i | −0.485720 | + | 0.326160i | ||||
\(163\) | −6.96029 | + | 4.01853i | −0.545172 | + | 0.314755i | −0.747172 | − | 0.664630i | \(-0.768589\pi\) |
0.202000 | + | 0.979385i | \(0.435256\pi\) | |||||||
\(164\) | −9.72330 | −0.759262 | ||||||||
\(165\) | −0.194853 | + | 2.62973i | −0.0151693 | + | 0.204724i | ||||
\(166\) | − | 6.10750i | − | 0.474034i | ||||||
\(167\) | 3.08628 | + | 1.78186i | 0.238823 | + | 0.137885i | 0.614636 | − | 0.788811i | \(-0.289303\pi\) |
−0.375812 | + | 0.926696i | \(0.622636\pi\) | |||||||
\(168\) | 8.24192 | − | 9.49197i | 0.635878 | − | 0.732322i | ||||
\(169\) | −9.54519 | − | 16.5327i | −0.734245 | − | 1.27175i | ||||
\(170\) | −0.219648 | + | 0.138813i | −0.0168462 | + | 0.0106465i | ||||
\(171\) | 18.9476 | − | 5.77142i | 1.44896 | − | 0.441351i | ||||
\(172\) | −1.93309 | − | 1.11607i | −0.147397 | − | 0.0850995i | ||||
\(173\) | −20.9958 | − | 12.1219i | −1.59628 | − | 0.921614i | −0.992195 | − | 0.124696i | \(-0.960204\pi\) |
−0.604087 | − | 0.796918i | \(-0.706462\pi\) | |||||||
\(174\) | −1.01863 | + | 8.89945i | −0.0772224 | + | 0.674665i | ||||
\(175\) | −6.58520 | + | 11.4732i | −0.497794 | + | 0.867295i | ||||
\(176\) | 0.212884 | + | 0.122909i | 0.0160468 | + | 0.00926460i | ||||
\(177\) | 0.397582 | + | 0.915674i | 0.0298841 | + | 0.0688262i | ||||
\(178\) | −7.82175 | −0.586265 | ||||||||
\(179\) | 17.9602 | + | 10.3693i | 1.34241 | + | 0.775038i | 0.987160 | − | 0.159735i | \(-0.0510639\pi\) |
0.355246 | + | 0.934773i | \(0.384397\pi\) | |||||||
\(180\) | −2.90665 | − | 8.33145i | −0.216649 | − | 0.620989i | ||||
\(181\) | 19.1810i | 1.42571i | 0.701309 | + | 0.712857i | \(0.252599\pi\) | ||||
−0.701309 | + | 0.712857i | \(0.747401\pi\) | |||||||
\(182\) | 12.3638 | + | 0.959647i | 0.916468 | + | 0.0711338i | ||||
\(183\) | 12.0251 | + | 8.90778i | 0.888924 | + | 0.658482i | ||||
\(184\) | −10.5874 | −0.780516 | ||||||||
\(185\) | −7.67096 | + | 4.84788i | −0.563980 | + | 0.356424i | ||||
\(186\) | 0.681832 | − | 5.95693i | 0.0499944 | − | 0.436783i | ||||
\(187\) | −0.0478098 | + | 0.0828090i | −0.00349620 | + | 0.00605559i | ||||
\(188\) | − | 0.918345i | − | 0.0669772i | ||||||
\(189\) | −11.1260 | + | 8.07541i | −0.809297 | + | 0.587400i | ||||
\(190\) | −0.488527 | − | 12.2056i | −0.0354415 | − | 0.885486i | ||||
\(191\) | 11.9445 | + | 6.89617i | 0.864274 | + | 0.498989i | 0.865441 | − | 0.501010i | \(-0.167038\pi\) |
−0.00116695 | + | 0.999999i | \(0.500371\pi\) | |||||||
\(192\) | 6.99438 | + | 0.800579i | 0.504776 | + | 0.0577768i | ||||
\(193\) | −3.65940 | + | 2.11276i | −0.263410 | + | 0.152080i | −0.625889 | − | 0.779912i | \(-0.715264\pi\) |
0.362479 | + | 0.931992i | \(0.381930\pi\) | |||||||
\(194\) | 10.5870 | 0.760101 | ||||||||
\(195\) | 12.3439 | − | 18.1379i | 0.883967 | − | 1.29888i | ||||
\(196\) | 5.77919 | − | 7.16824i | 0.412799 | − | 0.512017i | ||||
\(197\) | 4.24294 | 0.302297 | 0.151148 | − | 0.988511i | \(-0.451703\pi\) | ||||
0.151148 | + | 0.988511i | \(0.451703\pi\) | |||||||
\(198\) | 1.23482 | + | 1.15388i | 0.0877550 | + | 0.0820030i | ||||
\(199\) | −9.03350 | − | 5.21549i | −0.640368 | − | 0.369716i | 0.144388 | − | 0.989521i | \(-0.453879\pi\) |
−0.784756 | + | 0.619805i | \(0.787212\pi\) | |||||||
\(200\) | −13.6721 | + | 1.09620i | −0.966761 | + | 0.0775132i | ||||
\(201\) | 15.4468 | − | 6.70695i | 1.08953 | − | 0.473072i | ||||
\(202\) | 6.48379 | − | 11.2303i | 0.456198 | − | 0.790158i | ||||
\(203\) | −1.27971 | + | 16.4874i | −0.0898180 | + | 1.15719i | ||||
\(204\) | 0.0363862 | − | 0.317894i | 0.00254754 | − | 0.0222570i | ||||
\(205\) | 7.68535 | − | 14.6335i | 0.536768 | − | 1.02205i | ||||
\(206\) | −4.27381 | + | 7.40246i | −0.297771 | + | 0.515754i | ||||
\(207\) | 11.2791 | + | 2.61630i | 0.783954 | + | 0.181846i | ||||
\(208\) | −1.02262 | − | 1.77124i | −0.0709062 | − | 0.122813i | ||||
\(209\) | −2.24763 | − | 3.89301i | −0.155472 | − | 0.269285i | ||||
\(210\) | 3.08312 | + | 7.89798i | 0.212756 | + | 0.545013i | ||||
\(211\) | −9.41906 | + | 16.3143i | −0.648435 | + | 1.12312i | 0.335062 | + | 0.942196i | \(0.391243\pi\) |
−0.983497 | + | 0.180926i | \(0.942090\pi\) | |||||||
\(212\) | −5.29123 | −0.363403 | ||||||||
\(213\) | 2.67495 | − | 23.3701i | 0.183284 | − | 1.60129i | ||||
\(214\) | −8.09639 | −0.553458 | ||||||||
\(215\) | 3.20760 | − | 2.02714i | 0.218757 | − | 0.138250i | ||||
\(216\) | −13.4290 | − | 4.77897i | −0.913730 | − | 0.325167i | ||||
\(217\) | 0.856586 | − | 11.0360i | 0.0581489 | − | 0.749174i | ||||
\(218\) | 2.39797 | + | 4.15340i | 0.162411 | + | 0.281304i | ||||
\(219\) | 11.8561 | − | 16.0052i | 0.801160 | − | 1.08153i | ||||
\(220\) | −1.69287 | + | 1.06986i | −0.114134 | + | 0.0721300i | ||||
\(221\) | 0.688986 | − | 0.397786i | 0.0463462 | − | 0.0267580i | ||||
\(222\) | −0.661371 | + | 5.77817i | −0.0443883 | + | 0.387805i | ||||
\(223\) | −7.12080 | − | 12.3336i | −0.476844 | − | 0.825918i | 0.522804 | − | 0.852453i | \(-0.324886\pi\) |
−0.999648 | + | 0.0265350i | \(0.991553\pi\) | |||||||
\(224\) | 15.2601 | + | 1.18445i | 1.01961 | + | 0.0791391i | ||||
\(225\) | 14.8362 | + | 2.21074i | 0.989080 | + | 0.147383i | ||||
\(226\) | 0.716294 | + | 1.24066i | 0.0476472 | + | 0.0825273i | ||||
\(227\) | 24.0451i | 1.59593i | 0.602706 | + | 0.797963i | \(0.294089\pi\) | ||||
−0.602706 | + | 0.797963i | \(0.705911\pi\) | |||||||
\(228\) | 12.0873 | + | 8.95381i | 0.800499 | + | 0.592980i | ||||
\(229\) | − | 21.9495i | − | 1.45046i | −0.688504 | − | 0.725232i | \(-0.741732\pi\) | ||
0.688504 | − | 0.725232i | \(-0.258268\pi\) | |||||||
\(230\) | 3.32018 | − | 6.32187i | 0.218926 | − | 0.416851i | ||||
\(231\) | 2.35589 | + | 2.04563i | 0.155006 | + | 0.134593i | ||||
\(232\) | −14.8489 | + | 8.57302i | −0.974878 | + | 0.562846i | ||||
\(233\) | −14.8663 | − | 25.7491i | −0.973922 | − | 1.68688i | −0.683447 | − | 0.730000i | \(-0.739520\pi\) |
−0.290476 | − | 0.956882i | \(-0.593813\pi\) | |||||||
\(234\) | −4.09723 | − | 13.4513i | −0.267844 | − | 0.879337i | ||||
\(235\) | 1.38210 | + | 0.725865i | 0.0901584 | + | 0.0473502i | ||||
\(236\) | −0.379062 | + | 0.656554i | −0.0246748 | + | 0.0427380i | ||||
\(237\) | −4.23826 | + | 5.72148i | −0.275305 | + | 0.371650i | ||||
\(238\) | −0.0237912 | + | 0.306519i | −0.00154215 | + | 0.0198687i | ||||
\(239\) | 10.9885 | + | 6.34422i | 0.710788 | + | 0.410373i | 0.811353 | − | 0.584557i | \(-0.198732\pi\) |
−0.100565 | + | 0.994930i | \(0.532065\pi\) | |||||||
\(240\) | 0.786727 | − | 1.15600i | 0.0507830 | − | 0.0746194i | ||||
\(241\) | 5.73629i | 0.369507i | 0.982785 | + | 0.184753i | \(0.0591486\pi\) | ||||
−0.982785 | + | 0.184753i | \(0.940851\pi\) | |||||||
\(242\) | −4.35898 | + | 7.54997i | −0.280206 | + | 0.485330i | ||||
\(243\) | 13.1254 | + | 8.40969i | 0.841997 | + | 0.539482i | ||||
\(244\) | 11.3651i | 0.727575i | ||||||||
\(245\) | 6.22024 | + | 14.3634i | 0.397397 | + | 0.917647i | ||||
\(246\) | −4.21912 | − | 9.71707i | −0.269001 | − | 0.619538i | ||||
\(247\) | 37.4014i | 2.37979i | ||||||||
\(248\) | 9.93926 | − | 5.73843i | 0.631144 | − | 0.364391i | ||||
\(249\) | −11.7273 | + | 5.09196i | −0.743189 | + | 0.322690i | ||||
\(250\) | 3.63295 | − | 8.50750i | 0.229768 | − | 0.538062i | ||||
\(251\) | −7.11362 | −0.449008 | −0.224504 | − | 0.974473i | \(-0.572076\pi\) | ||||
−0.224504 | + | 0.974473i | \(0.572076\pi\) | |||||||
\(252\) | −9.95751 | − | 3.13913i | −0.627264 | − | 0.197747i | ||||
\(253\) | − | 2.62778i | − | 0.165207i | ||||||
\(254\) | −0.0925892 | − | 0.0534564i | −0.00580956 | − | 0.00335415i | ||||
\(255\) | 0.449668 | + | 0.306026i | 0.0281593 | + | 0.0191641i | ||||
\(256\) | 7.45991 | + | 12.9209i | 0.466244 | + | 0.807559i | ||||
\(257\) | − | 28.6312i | − | 1.78597i | −0.450090 | − | 0.892983i | \(-0.648608\pi\) | ||
0.450090 | − | 0.892983i | \(-0.351392\pi\) | |||||||
\(258\) | 0.276551 | − | 2.41613i | 0.0172173 | − | 0.150422i | ||||
\(259\) | −0.830880 | + | 10.7048i | −0.0516284 | + | 0.665166i | ||||
\(260\) | 16.6487 | − | 0.666362i | 1.03251 | − | 0.0413260i | ||||
\(261\) | 17.9375 | − | 5.46374i | 1.11031 | − | 0.338197i | ||||
\(262\) | −1.92082 | + | 3.32695i | −0.118668 | + | 0.205540i | ||||
\(263\) | 26.9796 | 1.66363 | 0.831815 | − | 0.555052i | \(-0.187302\pi\) | ||||
0.831815 | + | 0.555052i | \(0.187302\pi\) | |||||||
\(264\) | −0.367875 | + | 3.21399i | −0.0226411 | + | 0.197808i | ||||
\(265\) | 4.18222 | − | 7.96326i | 0.256912 | − | 0.489179i | ||||
\(266\) | −11.9202 | − | 8.17365i | −0.730877 | − | 0.501159i | ||||
\(267\) | 6.52117 | + | 15.0189i | 0.399089 | + | 0.919144i | ||||
\(268\) | 11.0756 | + | 6.39452i | 0.676551 | + | 0.390607i | ||||
\(269\) | 4.40270 | − | 7.62569i | 0.268437 | − | 0.464947i | −0.700021 | − | 0.714122i | \(-0.746826\pi\) |
0.968458 | + | 0.249175i | \(0.0801595\pi\) | |||||||
\(270\) | 7.06486 | − | 6.51995i | 0.429954 | − | 0.396792i | ||||
\(271\) | 9.56861 | − | 5.52444i | 0.581252 | − | 0.335586i | −0.180379 | − | 0.983597i | \(-0.557732\pi\) |
0.761631 | + | 0.648011i | \(0.224399\pi\) | |||||||
\(272\) | 0.0439118 | − | 0.0253525i | 0.00266254 | − | 0.00153722i | ||||
\(273\) | −8.46534 | − | 24.5405i | −0.512346 | − | 1.48526i | ||||
\(274\) | −0.926358 | + | 1.60450i | −0.0559634 | + | 0.0969314i | ||||
\(275\) | −0.272076 | − | 3.39339i | −0.0164068 | − | 0.204629i | ||||
\(276\) | 3.50213 | + | 8.06578i | 0.210804 | + | 0.485503i | ||||
\(277\) | 3.70887i | 0.222845i | 0.993773 | + | 0.111422i | \(0.0355406\pi\) | ||||
−0.993773 | + | 0.111422i | \(0.964459\pi\) | |||||||
\(278\) | 10.6972 | − | 6.17600i | 0.641573 | − | 0.370412i | ||||
\(279\) | −12.0067 | + | 3.65721i | −0.718820 | + | 0.218951i | ||||
\(280\) | −8.63511 | + | 13.7409i | −0.516047 | + | 0.821177i | ||||
\(281\) | −21.0669 | + | 12.1630i | −1.25675 | + | 0.725583i | −0.972441 | − | 0.233150i | \(-0.925097\pi\) |
−0.284306 | + | 0.958733i | \(0.591763\pi\) | |||||||
\(282\) | 0.917756 | − | 0.398487i | 0.0546516 | − | 0.0237295i | ||||
\(283\) | −4.66170 | − | 8.07431i | −0.277110 | − | 0.479968i | 0.693556 | − | 0.720403i | \(-0.256043\pi\) |
−0.970665 | + | 0.240435i | \(0.922710\pi\) | |||||||
\(284\) | 15.4708 | − | 8.93206i | 0.918022 | − | 0.530020i | ||||
\(285\) | −23.0293 | + | 11.1141i | −1.36414 | + | 0.658344i | ||||
\(286\) | −2.76372 | + | 1.59563i | −0.163422 | + | 0.0943518i | ||||
\(287\) | −8.43863 | − | 17.6430i | −0.498116 | − | 1.04143i | ||||
\(288\) | −5.05701 | − | 16.6022i | −0.297987 | − | 0.978296i | ||||
\(289\) | −8.49014 | − | 14.7054i | −0.499420 | − | 0.865021i | ||||
\(290\) | −0.462483 | − | 11.5549i | −0.0271580 | − | 0.678527i | ||||
\(291\) | −8.82661 | − | 20.3286i | −0.517425 | − | 1.19168i | ||||
\(292\) | 15.1267 | 0.885224 | ||||||||
\(293\) | −7.80154 | − | 4.50422i | −0.455771 | − | 0.263139i | 0.254494 | − | 0.967074i | \(-0.418091\pi\) |
−0.710264 | + | 0.703935i | \(0.751425\pi\) | |||||||
\(294\) | 9.67134 | + | 2.66505i | 0.564044 | + | 0.155429i | ||||
\(295\) | −0.688496 | − | 1.08943i | −0.0400858 | − | 0.0634290i | ||||
\(296\) | −9.64099 | + | 5.56623i | −0.560371 | + | 0.323530i | ||||
\(297\) | 1.18613 | − | 3.33306i | 0.0688263 | − | 0.193404i | ||||
\(298\) | −4.43325 | − | 2.55954i | −0.256811 | − | 0.148270i | ||||
\(299\) | −10.9318 | + | 18.9345i | −0.632203 | + | 1.09501i | ||||
\(300\) | 5.35759 | + | 10.0531i | 0.309321 | + | 0.580418i | ||||
\(301\) | 0.347432 | − | 4.47621i | 0.0200256 | − | 0.258005i | ||||
\(302\) | 7.21977 | − | 12.5050i | 0.415451 | − | 0.719582i | ||||
\(303\) | −26.9695 | − | 3.08693i | −1.54936 | − | 0.177340i | ||||
\(304\) | 2.38374i | 0.136717i | ||||||||
\(305\) | −17.1044 | − | 8.98303i | −0.979394 | − | 0.514367i | ||||
\(306\) | 0.333479 | − | 0.101577i | 0.0190637 | − | 0.00580677i | ||||
\(307\) | 5.84917 | 0.333830 | 0.166915 | − | 0.985971i | \(-0.446619\pi\) | ||||
0.166915 | + | 0.985971i | \(0.446619\pi\) | |||||||
\(308\) | −0.183364 | + | 2.36241i | −0.0104481 | + | 0.134611i | ||||
\(309\) | 17.7770 | + | 2.03476i | 1.01130 | + | 0.115754i | ||||
\(310\) | 0.309568 | + | 7.73439i | 0.0175823 | + | 0.439284i | ||||
\(311\) | 8.10248 | + | 14.0339i | 0.459449 | + | 0.795790i | 0.998932 | − | 0.0462072i | \(-0.0147135\pi\) |
−0.539483 | + | 0.841997i | \(0.681380\pi\) | |||||||
\(312\) | 16.0212 | − | 21.6280i | 0.907022 | − | 1.22444i | ||||
\(313\) | 13.8932 | − | 24.0637i | 0.785290 | − | 1.36016i | −0.143536 | − | 0.989645i | \(-0.545847\pi\) |
0.928826 | − | 0.370517i | \(-0.120819\pi\) | |||||||
\(314\) | 4.16522 | 0.235057 | ||||||||
\(315\) | 12.5948 | − | 12.5048i | 0.709639 | − | 0.704565i | ||||
\(316\) | −5.40743 | −0.304192 | ||||||||
\(317\) | 8.97622 | − | 15.5473i | 0.504155 | − | 0.873222i | −0.495834 | − | 0.868418i | \(-0.665137\pi\) |
0.999988 | − | 0.00480434i | \(-0.00152927\pi\) | |||||||
\(318\) | −2.29596 | − | 5.28784i | −0.128751 | − | 0.296527i | ||||
\(319\) | −2.12781 | − | 3.68547i | −0.119134 | − | 0.206347i | ||||
\(320\) | −9.08139 | + | 0.363482i | −0.507665 | + | 0.0203192i | ||||
\(321\) | 6.75015 | + | 15.5463i | 0.376757 | + | 0.867710i | ||||
\(322\) | −3.64560 | − | 7.62201i | −0.203161 | − | 0.424758i | ||||
\(323\) | −0.927241 | −0.0515930 | ||||||||
\(324\) | 0.801344 | + | 11.8114i | 0.0445191 | + | 0.656188i | ||||
\(325\) | −12.1564 | + | 25.5829i | −0.674313 | + | 1.41908i | ||||
\(326\) | − | 6.64994i | − | 0.368306i | ||||||
\(327\) | 5.97591 | − | 8.06724i | 0.330469 | − | 0.446119i | ||||
\(328\) | 10.1387 | − | 17.5608i | 0.559819 | − | 0.969634i | ||||
\(329\) | 1.66634 | − | 0.797010i | 0.0918684 | − | 0.0439406i | ||||
\(330\) | −1.80374 | − | 1.22756i | −0.0992929 | − | 0.0675748i | ||||
\(331\) | −10.7927 | + | 18.6936i | −0.593223 | + | 1.02749i | 0.400572 | + | 0.916265i | \(0.368811\pi\) |
−0.993795 | + | 0.111227i | \(0.964522\pi\) | |||||||
\(332\) | −8.40870 | − | 4.85476i | −0.461487 | − | 0.266440i | ||||
\(333\) | 11.6464 | − | 3.54746i | 0.638216 | − | 0.194400i | ||||
\(334\) | −2.55362 | + | 1.47433i | −0.139728 | + | 0.0806718i | ||||
\(335\) | −18.3779 | + | 11.6145i | −1.00409 | + | 0.634566i | ||||
\(336\) | −0.539530 | − | 1.56406i | −0.0294337 | − | 0.0853266i | ||||
\(337\) | −16.6595 | − | 9.61838i | −0.907502 | − | 0.523946i | −0.0278751 | − | 0.999611i | \(-0.508874\pi\) |
−0.879626 | + | 0.475665i | \(0.842207\pi\) | |||||||
\(338\) | 15.7956 | 0.859166 | ||||||||
\(339\) | 1.78506 | − | 2.40976i | 0.0969511 | − | 0.130880i | ||||
\(340\) | 0.0165202 | + | 0.412748i | 0.000895933 | + | 0.0223844i | ||||
\(341\) | 1.42427 | + | 2.46691i | 0.0771285 | + | 0.133591i | ||||
\(342\) | −3.70318 | + | 15.9648i | −0.200245 | + | 0.863275i | ||||
\(343\) | 18.0224 | + | 4.26522i | 0.973120 | + | 0.230300i | ||||
\(344\) | 4.03137 | − | 2.32751i | 0.217357 | − | 0.125491i | ||||
\(345\) | −14.9070 | − | 1.10455i | −0.802568 | − | 0.0594671i | ||||
\(346\) | 17.3722 | − | 10.0298i | 0.933933 | − | 0.539206i | ||||
\(347\) | −8.39107 | − | 14.5338i | −0.450456 | − | 0.780213i | 0.547958 | − | 0.836506i | \(-0.315405\pi\) |
−0.998414 | + | 0.0562929i | \(0.982072\pi\) | |||||||
\(348\) | 11.4429 | + | 8.47648i | 0.613404 | + | 0.454387i | ||||
\(349\) | 14.1376 | − | 8.16236i | 0.756769 | − | 0.436921i | −0.0713653 | − | 0.997450i | \(-0.522736\pi\) |
0.828135 | + | 0.560529i | \(0.189402\pi\) | |||||||
\(350\) | −5.49691 | − | 9.46521i | −0.293822 | − | 0.505937i | ||||
\(351\) | −22.4125 | + | 19.0819i | −1.19629 | + | 1.01852i | ||||
\(352\) | −3.41112 | + | 1.96941i | −0.181813 | + | 0.104970i | ||||
\(353\) | 29.9814i | 1.59575i | 0.602822 | + | 0.797875i | \(0.294043\pi\) | ||||
−0.602822 | + | 0.797875i | \(0.705957\pi\) | |||||||
\(354\) | −0.820615 | − | 0.0939279i | −0.0436152 | − | 0.00499221i | ||||
\(355\) | 1.21449 | + | 30.3434i | 0.0644584 | + | 1.61046i | ||||
\(356\) | −6.21740 | + | 10.7688i | −0.329521 | + | 0.570748i | ||||
\(357\) | 0.608398 | − | 0.209869i | 0.0321999 | − | 0.0111075i | ||||
\(358\) | −14.8604 | + | 8.57967i | −0.785398 | + | 0.453450i | ||||
\(359\) | 0.535110 | − | 0.308946i | 0.0282420 | − | 0.0163055i | −0.485813 | − | 0.874063i | \(-0.661476\pi\) |
0.514055 | + | 0.857757i | \(0.328143\pi\) | |||||||
\(360\) | 18.0779 | + | 3.43786i | 0.952788 | + | 0.181191i | ||||
\(361\) | 12.2957 | − | 21.2968i | 0.647141 | − | 1.12088i | ||||
\(362\) | −13.7443 | − | 7.93529i | −0.722385 | − | 0.417069i | ||||
\(363\) | 18.1313 | + | 2.07531i | 0.951644 | + | 0.108926i | ||||
\(364\) | 11.1491 | − | 16.2595i | 0.584369 | − | 0.852229i | ||||
\(365\) | −11.9562 | + | 22.7656i | −0.625819 | + | 1.19161i | ||||
\(366\) | −11.3578 | + | 4.93152i | −0.593682 | + | 0.257775i | ||||
\(367\) | 5.22261 | 0.272618 | 0.136309 | − | 0.990666i | \(-0.456476\pi\) | ||||
0.136309 | + | 0.990666i | \(0.456476\pi\) | |||||||
\(368\) | −0.696728 | + | 1.20677i | −0.0363194 | + | 0.0629071i | ||||
\(369\) | −15.1407 | + | 16.2027i | −0.788192 | + | 0.843478i | ||||
\(370\) | −0.300278 | − | 7.50228i | −0.0156107 | − | 0.390025i | ||||
\(371\) | −4.59214 | − | 9.60097i | −0.238412 | − | 0.498458i | ||||
\(372\) | −7.65942 | − | 5.67381i | −0.397122 | − | 0.294173i | ||||
\(373\) | − | 4.17547i | − | 0.216197i | −0.994140 | − | 0.108099i | \(-0.965524\pi\) | ||
0.994140 | − | 0.108099i | \(-0.0344763\pi\) | |||||||
\(374\) | −0.0395583 | − | 0.0685170i | −0.00204551 | − | 0.00354293i | ||||
\(375\) | −19.3646 | + | 0.117084i | −0.999982 | + | 0.00604618i | ||||
\(376\) | 1.65858 | + | 0.957582i | 0.0855348 | + | 0.0493835i | ||||
\(377\) | 35.4075i | 1.82358i | ||||||||
\(378\) | −1.18363 | − | 11.3133i | −0.0608791 | − | 0.581891i | ||||
\(379\) | 13.3904 | 0.687821 | 0.343910 | − | 0.939002i | \(-0.388248\pi\) | ||||
0.343910 | + | 0.939002i | \(0.388248\pi\) | |||||||
\(380\) | −17.1927 | − | 9.02944i | −0.881969 | − | 0.463201i | ||||
\(381\) | −0.0254506 | + | 0.222353i | −0.00130387 | + | 0.0113915i | ||||
\(382\) | −9.88301 | + | 5.70596i | −0.505659 | + | 0.291942i | ||||
\(383\) | 9.43018i | 0.481860i | 0.970543 | + | 0.240930i | \(0.0774524\pi\) | ||||
−0.970543 | + | 0.240930i | \(0.922548\pi\) | |||||||
\(384\) | 8.46144 | − | 11.4226i | 0.431796 | − | 0.582907i | ||||
\(385\) | −3.41047 | − | 2.14322i | −0.173814 | − | 0.109229i | ||||
\(386\) | − | 3.49623i | − | 0.177954i | ||||||
\(387\) | −4.86991 | + | 1.48337i | −0.247551 | + | 0.0754037i | ||||
\(388\) | 8.41544 | − | 14.5760i | 0.427229 | − | 0.739983i | ||||
\(389\) | − | 12.5755i | − | 0.637604i | −0.947821 | − | 0.318802i | \(-0.896720\pi\) | ||
0.947821 | − | 0.318802i | \(-0.103280\pi\) | |||||||
\(390\) | 7.89011 | + | 16.3489i | 0.399531 | + | 0.827858i | ||||
\(391\) | −0.469416 | − | 0.271017i | −0.0237394 | − | 0.0137059i | ||||
\(392\) | 6.92012 | + | 17.9120i | 0.349519 | + | 0.904695i | ||||
\(393\) | 7.98967 | + | 0.914501i | 0.403026 | + | 0.0461305i | ||||
\(394\) | −1.75532 | + | 3.04031i | −0.0884319 | + | 0.153169i | ||||
\(395\) | 4.27407 | − | 8.13815i | 0.215052 | − | 0.409475i | ||||
\(396\) | 2.57019 | − | 0.782875i | 0.129157 | − | 0.0393409i | ||||
\(397\) | 5.95907 | + | 10.3214i | 0.299077 | + | 0.518017i | 0.975925 | − | 0.218106i | \(-0.0699879\pi\) |
−0.676848 | + | 0.736123i | \(0.736655\pi\) | |||||||
\(398\) | 7.47441 | − | 4.31535i | 0.374658 | − | 0.216309i | ||||
\(399\) | −5.75647 | + | 29.7032i | −0.288184 | + | 1.48702i | ||||
\(400\) | −0.774772 | + | 1.63050i | −0.0387386 | + | 0.0815248i | ||||
\(401\) | − | 22.6413i | − | 1.13065i | −0.824868 | − | 0.565325i | \(-0.808751\pi\) | ||
0.824868 | − | 0.565325i | \(-0.191249\pi\) | |||||||
\(402\) | −1.58450 | + | 13.8432i | −0.0790277 | + | 0.690437i | ||||
\(403\) | − | 23.7004i | − | 1.18060i | ||||||
\(404\) | −10.3077 | − | 17.8535i | −0.512829 | − | 0.888246i | ||||
\(405\) | −18.4094 | − | 8.12976i | −0.914772 | − | 0.403971i | ||||
\(406\) | −11.2848 | − | 7.73791i | −0.560054 | − | 0.384026i | ||||
\(407\) | −1.38153 | − | 2.39288i | −0.0684798 | − | 0.118611i | ||||
\(408\) | 0.536193 | + | 0.397192i | 0.0265455 | + | 0.0196639i | ||||
\(409\) | 8.44454 | − | 4.87546i | 0.417556 | − | 0.241076i | −0.276475 | − | 0.961021i | \(-0.589166\pi\) |
0.694031 | + | 0.719945i | \(0.255833\pi\) | |||||||
\(410\) | 7.30628 | + | 11.5610i | 0.360832 | + | 0.570955i | ||||
\(411\) | 3.85321 | + | 0.441039i | 0.190065 | + | 0.0217549i | ||||
\(412\) | 6.79438 | + | 11.7682i | 0.334735 | + | 0.579778i | ||||
\(413\) | −1.52030 | − | 0.118002i | −0.0748091 | − | 0.00580648i | ||||
\(414\) | −6.54097 | + | 6.99978i | −0.321471 | + | 0.344020i | ||||
\(415\) | 13.9527 | − | 8.81779i | 0.684909 | − | 0.432849i | ||||
\(416\) | 32.7717 | 1.60676 | ||||||||
\(417\) | −20.7773 | − | 15.3911i | −1.01747 | − | 0.753704i | ||||
\(418\) | 3.71943 | 0.181923 | ||||||||
\(419\) | 2.51167 | − | 4.35034i | 0.122703 | − | 0.212528i | −0.798130 | − | 0.602486i | \(-0.794177\pi\) |
0.920833 | + | 0.389958i | \(0.127510\pi\) | |||||||
\(420\) | 13.3245 | + | 2.03320i | 0.650171 | + | 0.0992101i | ||||
\(421\) | −9.59165 | − | 16.6132i | −0.467468 | − | 0.809679i | 0.531841 | − | 0.846844i | \(-0.321500\pi\) |
−0.999309 | + | 0.0371654i | \(0.988167\pi\) | |||||||
\(422\) | −7.79343 | − | 13.4986i | −0.379378 | − | 0.657102i | ||||
\(423\) | −1.53031 | − | 1.43000i | −0.0744062 | − | 0.0695291i | ||||
\(424\) | 5.51731 | − | 9.55626i | 0.267944 | − | 0.464093i | ||||
\(425\) | −0.634240 | − | 0.301376i | −0.0307652 | − | 0.0146189i | ||||
\(426\) | 15.6394 | + | 11.5851i | 0.757731 | + | 0.561299i | ||||
\(427\) | −20.6220 | + | 9.86349i | −0.997969 | + | 0.477328i | ||||
\(428\) | −6.43571 | + | 11.1470i | −0.311082 | + | 0.538809i | ||||
\(429\) | 5.36803 | + | 3.97644i | 0.259171 | + | 0.191984i | ||||
\(430\) | 0.125561 | + | 3.13707i | 0.00605508 | + | 0.151283i | ||||
\(431\) | −8.93656 | − | 5.15953i | −0.430459 | − | 0.248526i | 0.269083 | − | 0.963117i | \(-0.413279\pi\) |
−0.699542 | + | 0.714591i | \(0.746613\pi\) | |||||||
\(432\) | −1.42844 | + | 1.21617i | −0.0687257 | + | 0.0585128i | ||||
\(433\) | −2.48188 | −0.119272 | −0.0596359 | − | 0.998220i | \(-0.518994\pi\) | ||||
−0.0596359 | + | 0.998220i | \(0.518994\pi\) | |||||||
\(434\) | 7.55357 | + | 5.17945i | 0.362583 | + | 0.248622i | ||||
\(435\) | −21.8016 | + | 10.5216i | −1.04531 | + | 0.504473i | ||||
\(436\) | 7.62443 | 0.365144 | ||||||||
\(437\) | 22.0681 | − | 12.7410i | 1.05566 | − | 0.609487i | ||||
\(438\) | 6.56376 | + | 15.1170i | 0.313629 | + | 0.722320i | ||||
\(439\) | 15.3078 | + | 8.83797i | 0.730602 | + | 0.421813i | 0.818642 | − | 0.574303i | \(-0.194727\pi\) |
−0.0880401 | + | 0.996117i | \(0.528060\pi\) | |||||||
\(440\) | −0.167024 | − | 4.17300i | −0.00796254 | − | 0.198940i | ||||
\(441\) | −2.94592 | − | 20.7923i | −0.140282 | − | 0.990112i | ||||
\(442\) | 0.658264i | 0.0313104i | ||||||||
\(443\) | 6.19292 | − | 10.7265i | 0.294235 | − | 0.509629i | −0.680572 | − | 0.732681i | \(-0.738269\pi\) |
0.974807 | + | 0.223052i | \(0.0716019\pi\) | |||||||
\(444\) | 7.42956 | + | 5.50354i | 0.352591 | + | 0.261187i | ||||
\(445\) | −11.2928 | − | 17.8689i | −0.535329 | − | 0.847067i | ||||
\(446\) | 11.7836 | 0.557972 | ||||||||
\(447\) | −1.21860 | + | 10.6464i | −0.0576376 | + | 0.503560i | ||||
\(448\) | −6.08149 | + | 8.86909i | −0.287323 | + | 0.419025i | ||||
\(449\) | 3.62937i | 0.171281i | 0.996326 | + | 0.0856404i | \(0.0272936\pi\) | ||||
−0.996326 | + | 0.0856404i | \(0.972706\pi\) | |||||||
\(450\) | −7.72193 | + | 9.71640i | −0.364015 | + | 0.458035i | ||||
\(451\) | 4.35857 | + | 2.51642i | 0.205237 | + | 0.118494i | ||||
\(452\) | 2.27749 | 0.107124 | ||||||||
\(453\) | −30.0308 | − | 3.43733i | −1.41097 | − | 0.161500i | ||||
\(454\) | −17.2297 | − | 9.94756i | −0.808629 | − | 0.466862i | ||||
\(455\) | 15.6581 | + | 29.6308i | 0.734064 | + | 1.38911i | ||||
\(456\) | −28.7748 | + | 12.4939i | −1.34750 | + | 0.585081i | ||||
\(457\) | 14.1867 | + | 8.19072i | 0.663628 | + | 0.383146i | 0.793658 | − | 0.608364i | \(-0.208174\pi\) |
−0.130030 | + | 0.991510i | \(0.541507\pi\) | |||||||
\(458\) | 15.7281 | + | 9.08062i | 0.734926 | + | 0.424310i | ||||
\(459\) | −0.473072 | − | 0.555642i | −0.0220811 | − | 0.0259351i | ||||
\(460\) | −6.06467 | − | 9.59632i | −0.282767 | − | 0.447431i | ||||
\(461\) | −2.09653 | − | 3.63129i | −0.0976449 | − | 0.169126i | 0.813064 | − | 0.582174i | \(-0.197798\pi\) |
−0.910709 | + | 0.413048i | \(0.864464\pi\) | |||||||
\(462\) | −2.44046 | + | 0.841846i | −0.113540 | + | 0.0391662i | ||||
\(463\) | −3.62504 | − | 2.09292i | −0.168470 | − | 0.0972662i | 0.413394 | − | 0.910552i | \(-0.364343\pi\) |
−0.581864 | + | 0.813286i | \(0.697676\pi\) | |||||||
\(464\) | 2.25666i | 0.104763i | ||||||||
\(465\) | 14.5931 | − | 7.04275i | 0.676738 | − | 0.326600i | ||||
\(466\) | 24.6010 | 1.13962 | ||||||||
\(467\) | −9.17709 | + | 5.29840i | −0.424665 | + | 0.245181i | −0.697071 | − | 0.717002i | \(-0.745514\pi\) |
0.272406 | + | 0.962182i | \(0.412181\pi\) | |||||||
\(468\) | −21.7763 | − | 5.05122i | −1.00661 | − | 0.233493i | ||||
\(469\) | −1.99061 | + | 25.6464i | −0.0919177 | + | 1.18424i | ||||
\(470\) | −1.09191 | + | 0.690062i | −0.0503659 | + | 0.0318302i | ||||
\(471\) | −3.47264 | − | 7.99785i | −0.160011 | − | 0.368522i | ||||
\(472\) | −0.790515 | − | 1.36921i | −0.0363864 | − | 0.0630231i | ||||
\(473\) | 0.577684 | + | 1.00058i | 0.0265620 | + | 0.0460067i | ||||
\(474\) | −2.34638 | − | 5.40397i | −0.107773 | − | 0.248212i | ||||
\(475\) | 27.1785 | − | 18.7380i | 1.24703 | − | 0.859760i | ||||
\(476\) | 0.403099 | + | 0.276403i | 0.0184760 | + | 0.0126689i | ||||
\(477\) | −8.23926 | + | 8.81719i | −0.377250 | + | 0.403711i | ||||
\(478\) | −9.09201 | + | 5.24927i | −0.415859 | + | 0.240096i | ||||
\(479\) | 31.1455 | 1.42307 | 0.711537 | − | 0.702649i | \(-0.247999\pi\) | ||||
0.711537 | + | 0.702649i | \(0.247999\pi\) | |||||||
\(480\) | 9.73837 | + | 20.1786i | 0.444494 | + | 0.921023i | ||||
\(481\) | 22.9891i | 1.04821i | ||||||||
\(482\) | −4.11038 | − | 2.37313i | −0.187223 | − | 0.108093i | ||||
\(483\) | −11.5960 | + | 13.3547i | −0.527635 | + | 0.607662i | ||||
\(484\) | 6.92977 | + | 12.0027i | 0.314990 | + | 0.545578i | ||||
\(485\) | 15.2851 | + | 24.1861i | 0.694061 | + | 1.09823i | ||||
\(486\) | −11.4561 | + | 5.92601i | −0.519659 | + | 0.268809i | ||||
\(487\) | 12.4304 | + | 7.17670i | 0.563275 | + | 0.325207i | 0.754459 | − | 0.656347i | \(-0.227899\pi\) |
−0.191184 | + | 0.981554i | \(0.561233\pi\) | |||||||
\(488\) | −20.5260 | − | 11.8507i | −0.929167 | − | 0.536455i | ||||
\(489\) | −12.7689 | + | 5.54421i | −0.577429 | + | 0.250718i | ||||
\(490\) | −12.8656 | − | 1.48506i | −0.581208 | − | 0.0670884i | ||||
\(491\) | −31.6186 | − | 18.2550i | −1.42693 | − | 0.823836i | −0.430049 | − | 0.902805i | \(-0.641504\pi\) |
−0.996877 | + | 0.0789693i | \(0.974837\pi\) | |||||||
\(492\) | −16.7320 | − | 1.91515i | −0.754337 | − | 0.0863417i | ||||
\(493\) | −0.877809 | −0.0395345 | ||||||||
\(494\) | −26.8003 | − | 15.4731i | −1.20580 | − | 0.696170i | ||||
\(495\) | −0.853271 | + | 4.48690i | −0.0383517 | + | 0.201671i | ||||
\(496\) | − | 1.51052i | − | 0.0678242i | ||||||
\(497\) | 29.6340 | + | 20.3199i | 1.32927 | + | 0.911472i | ||||
\(498\) | 1.20296 | − | 10.5099i | 0.0539061 | − | 0.470959i | ||||
\(499\) | −0.318127 | −0.0142413 | −0.00712067 | − | 0.999975i | \(-0.502267\pi\) | ||||
−0.00712067 | + | 0.999975i | \(0.502267\pi\) | |||||||
\(500\) | −8.82519 | − | 11.7643i | −0.394675 | − | 0.526114i | ||||
\(501\) | 4.95995 | + | 3.67415i | 0.221594 | + | 0.164149i | ||||
\(502\) | 2.94294 | − | 5.09732i | 0.131350 | − | 0.227505i | ||||
\(503\) | − | 1.98119i | − | 0.0883367i | −0.999024 | − | 0.0441684i | \(-0.985936\pi\) | ||
0.999024 | − | 0.0441684i | \(-0.0140638\pi\) | |||||||
\(504\) | 16.0524 | − | 14.7106i | 0.715031 | − | 0.655260i | ||||
\(505\) | 35.0167 | − | 1.40154i | 1.55822 | − | 0.0623677i | ||||
\(506\) | 1.88296 | + | 1.08713i | 0.0837078 | + | 0.0483287i | ||||
\(507\) | −13.1691 | − | 30.3299i | −0.584862 | − | 1.34700i | ||||
\(508\) | −0.147196 | + | 0.0849834i | −0.00653075 | + | 0.00377053i | ||||
\(509\) | −25.3654 | −1.12430 | −0.562150 | − | 0.827035i | \(-0.690026\pi\) | ||||
−0.562150 | + | 0.827035i | \(0.690026\pi\) | |||||||
\(510\) | −0.405315 | + | 0.195609i | −0.0179477 | + | 0.00866169i | ||||
\(511\) | 13.1281 | + | 27.4475i | 0.580754 | + | 1.21421i | ||||
\(512\) | 4.06948 | 0.179848 | ||||||||
\(513\) | 33.7422 | − | 6.19952i | 1.48975 | − | 0.273716i | ||||
\(514\) | 20.5159 | + | 11.8449i | 0.904919 | + | 0.522455i | ||||
\(515\) | −23.0814 | + | 0.923830i | −1.01709 | + | 0.0407088i | ||||
\(516\) | −3.10666 | − | 2.30130i | −0.136763 | − | 0.101309i | ||||
\(517\) | −0.237670 | + | 0.411657i | −0.0104527 | + | 0.0181047i | ||||
\(518\) | −7.32689 | − | 5.02402i | −0.321925 | − | 0.220743i | ||||
\(519\) | −33.7423 | − | 24.9951i | −1.48112 | − | 1.09716i | ||||
\(520\) | −16.1565 | + | 30.7633i | −0.708511 | + | 1.34906i | ||||
\(521\) | 17.1966 | − | 29.7854i | 0.753397 | − | 1.30492i | −0.192771 | − | 0.981244i | \(-0.561747\pi\) |
0.946167 | − | 0.323678i | \(-0.104919\pi\) | |||||||
\(522\) | −3.50576 | + | 15.1137i | −0.153443 | + | 0.661507i | ||||
\(523\) | 19.8731 | + | 34.4213i | 0.868991 | + | 1.50514i | 0.863029 | + | 0.505154i | \(0.168564\pi\) |
0.00596176 | + | 0.999982i | \(0.498102\pi\) | |||||||
\(524\) | 3.05366 | + | 5.28909i | 0.133400 | + | 0.231055i | ||||
\(525\) | −13.5917 | + | 18.4463i | −0.593192 | + | 0.805061i | ||||
\(526\) | −11.1616 | + | 19.3324i | −0.486668 | + | 0.842934i | ||||
\(527\) | 0.587570 | 0.0255950 | ||||||||
\(528\) | 0.342126 | + | 0.253434i | 0.0148891 | + | 0.0110293i | ||||
\(529\) | −8.10401 | −0.352348 | ||||||||
\(530\) | 3.97594 | + | 6.29125i | 0.172704 | + | 0.273274i | ||||
\(531\) | 0.503810 | + | 1.65401i | 0.0218635 | + | 0.0717781i | ||||
\(532\) | −20.7286 | + | 9.91446i | −0.898697 | + | 0.429846i | ||||
\(533\) | −20.9371 | − | 36.2641i | −0.906885 | − | 1.57077i | ||||
\(534\) | −13.4598 | − | 1.54061i | −0.582462 | − | 0.0666688i | ||||
\(535\) | −11.6893 | − | 18.4963i | −0.505372 | − | 0.799665i | ||||
\(536\) | −23.0977 | + | 13.3355i | −0.997669 | + | 0.576004i | ||||
\(537\) | 28.8637 | + | 21.3812i | 1.24556 | + | 0.922666i | ||||
\(538\) | 3.64283 | + | 6.30957i | 0.157054 | + | 0.272025i | ||||
\(539\) | −4.44574 | + | 1.71756i | −0.191492 | + | 0.0739807i | ||||
\(540\) | −3.36080 | − | 14.9094i | −0.144626 | − | 0.641598i | ||||
\(541\) | −2.28062 | − | 3.95016i | −0.0980517 | − | 0.169830i | 0.812826 | − | 0.582506i | \(-0.197928\pi\) |
−0.910878 | + | 0.412675i | \(0.864594\pi\) | |||||||
\(542\) | 9.14195i | 0.392680i | ||||||||
\(543\) | −3.77799 | + | 33.0070i | −0.162129 | + | 1.41647i | ||||
\(544\) | 0.812463i | 0.0348341i | ||||||||
\(545\) | −6.02639 | + | 11.4747i | −0.258142 | + | 0.491523i | ||||
\(546\) | 21.0868 | + | 4.08662i | 0.902434 | + | 0.174891i | ||||
\(547\) | 28.3756 | − | 16.3827i | 1.21325 | − | 0.700472i | 0.249786 | − | 0.968301i | \(-0.419640\pi\) |
0.963466 | + | 0.267829i | \(0.0863063\pi\) | |||||||
\(548\) | 1.47270 | + | 2.55079i | 0.0629105 | + | 0.108964i | ||||
\(549\) | 18.9385 | + | 17.6972i | 0.808277 | + | 0.755297i | ||||
\(550\) | 2.54412 | + | 1.20890i | 0.108482 | + | 0.0515478i | ||||
\(551\) | 20.6338 | − | 35.7387i | 0.879027 | − | 1.52252i | ||||
\(552\) | −18.2190 | − | 2.08535i | −0.775453 | − | 0.0887585i | ||||
\(553\) | −4.69298 | − | 9.81182i | −0.199566 | − | 0.417241i | ||||
\(554\) | −2.65762 | − | 1.53438i | −0.112912 | − | 0.0651895i | ||||
\(555\) | −14.1552 | + | 6.83140i | −0.600853 | + | 0.289977i | ||||
\(556\) | − | 19.6369i | − | 0.832788i | ||||||
\(557\) | −15.9777 | + | 27.6741i | −0.676995 | + | 1.17259i | 0.298886 | + | 0.954289i | \(0.403385\pi\) |
−0.975881 | + | 0.218301i | \(0.929948\pi\) | |||||||
\(558\) | 2.34662 | − | 10.1165i | 0.0993401 | − | 0.428265i | ||||
\(559\) | − | 9.61287i | − | 0.406581i | ||||||
\(560\) | 0.997954 | + | 1.88849i | 0.0421713 | + | 0.0798033i | ||||
\(561\) | −0.0985823 | + | 0.133082i | −0.00416215 | + | 0.00561873i | ||||
\(562\) | − | 20.1276i | − | 0.849030i | ||||||
\(563\) | −12.3669 | + | 7.14002i | −0.521201 | + | 0.300916i | −0.737426 | − | 0.675428i | \(-0.763959\pi\) |
0.216225 | + | 0.976344i | \(0.430626\pi\) | |||||||
\(564\) | 0.180882 | − | 1.58030i | 0.00761650 | − | 0.0665427i | ||||
\(565\) | −1.80014 | + | 3.42760i | −0.0757324 | + | 0.144200i | ||||
\(566\) | 7.71428 | 0.324255 | ||||||||
\(567\) | −20.7363 | + | 11.7049i | −0.870845 | + | 0.491558i | ||||
\(568\) | 37.2548i | 1.56318i | ||||||||
\(569\) | −12.2889 | − | 7.09501i | −0.515178 | − | 0.297438i | 0.219782 | − | 0.975549i | \(-0.429466\pi\) |
−0.734960 | + | 0.678111i | \(0.762799\pi\) | |||||||
\(570\) | 1.56341 | − | 21.0998i | 0.0654840 | − | 0.883772i | ||||
\(571\) | −7.28331 | − | 12.6151i | −0.304797 | − | 0.527924i | 0.672419 | − | 0.740171i | \(-0.265255\pi\) |
−0.977216 | + | 0.212247i | \(0.931922\pi\) | |||||||
\(572\) | 5.07338i | 0.212129i | ||||||||
\(573\) | 19.1960 | + | 14.2197i | 0.801924 | + | 0.594036i | ||||
\(574\) | 16.1333 | + | 1.25223i | 0.673392 | + | 0.0522669i | ||||
\(575\) | 19.2359 | − | 1.54230i | 0.802194 | − | 0.0643185i | ||||
\(576\) | 11.8783 | + | 2.75530i | 0.494931 | + | 0.114804i | ||||
\(577\) | −11.1217 | + | 19.2633i | −0.463002 | + | 0.801943i | −0.999109 | − | 0.0422073i | \(-0.986561\pi\) |
0.536107 | + | 0.844150i | \(0.319894\pi\) | |||||||
\(578\) | 14.0497 | 0.584389 | ||||||||
\(579\) | −6.71330 | + | 2.91489i | −0.278995 | + | 0.121139i | ||||
\(580\) | −16.2762 | − | 8.54808i | −0.675832 | − | 0.354940i | ||||
\(581\) | 1.51128 | − | 19.4710i | 0.0626987 | − | 0.807792i | ||||
\(582\) | 18.2182 | + | 2.08527i | 0.755171 | + | 0.0864371i | ||||
\(583\) | 2.37185 | + | 1.36939i | 0.0982319 | + | 0.0567142i | ||||
\(584\) | −15.7730 | + | 27.3197i | −0.652693 | + | 1.13050i | ||||
\(585\) | 24.8141 | − | 28.7806i | 1.02594 | − | 1.18993i | ||||
\(586\) | 6.45507 | − | 3.72684i | 0.266657 | − | 0.153954i | ||||
\(587\) | 28.6833 | − | 16.5603i | 1.18389 | − | 0.683517i | 0.226975 | − | 0.973901i | \(-0.427116\pi\) |
0.956910 | + | 0.290384i | \(0.0937830\pi\) | |||||||
\(588\) | 11.3568 | − | 11.1969i | 0.468347 | − | 0.461753i | ||||
\(589\) | −13.8114 | + | 23.9221i | −0.569089 | + | 0.985691i | ||||
\(590\) | 1.06547 | − | 0.0426455i | 0.0438649 | − | 0.00175569i | ||||
\(591\) | 7.30131 | + | 0.835710i | 0.300336 | + | 0.0343765i | ||||
\(592\) | 1.46519i | 0.0602188i | ||||||||
\(593\) | 3.72499 | − | 2.15062i | 0.152967 | − | 0.0883154i | −0.421563 | − | 0.906799i | \(-0.638518\pi\) |
0.574530 | + | 0.818484i | \(0.305185\pi\) | |||||||
\(594\) | 1.89763 | + | 2.22884i | 0.0778605 | + | 0.0914503i | ||||
\(595\) | −0.734596 | + | 0.388190i | −0.0301155 | + | 0.0159143i | ||||
\(596\) | −7.04785 | + | 4.06908i | −0.288691 | + | 0.166676i | ||||
\(597\) | −14.5177 | − | 10.7542i | −0.594170 | − | 0.440139i | ||||
\(598\) | −9.04509 | − | 15.6666i | −0.369881 | − | 0.640653i | ||||
\(599\) | 9.81077 | − | 5.66425i | 0.400857 | − | 0.231435i | −0.285997 | − | 0.958231i | \(-0.592325\pi\) |
0.686854 | + | 0.726796i | \(0.258991\pi\) | |||||||
\(600\) | −23.7430 | − | 0.806559i | −0.969305 | − | 0.0329276i | ||||
\(601\) | −7.87784 | + | 4.54827i | −0.321344 | + | 0.185528i | −0.651991 | − | 0.758226i | \(-0.726066\pi\) |
0.330648 | + | 0.943754i | \(0.392733\pi\) | |||||||
\(602\) | 3.06373 | + | 2.10079i | 0.124868 | + | 0.0856217i | ||||
\(603\) | 27.9021 | − | 8.49894i | 1.13626 | − | 0.346103i | ||||
\(604\) | −11.4778 | − | 19.8801i | −0.467024 | − | 0.808910i | ||||
\(605\) | −23.5413 | + | 0.942239i | −0.957092 | + | 0.0383075i | ||||
\(606\) | 13.3694 | − | 18.0481i | 0.543094 | − | 0.733154i | ||||
\(607\) | 11.3620 | 0.461170 | 0.230585 | − | 0.973052i | \(-0.425936\pi\) | ||||
0.230585 | + | 0.973052i | \(0.425936\pi\) | |||||||
\(608\) | −33.0782 | − | 19.0977i | −1.34150 | − | 0.774515i | ||||
\(609\) | −5.44959 | + | 28.1197i | −0.220828 | + | 1.13947i | ||||
\(610\) | 13.5130 | − | 8.53995i | 0.547127 | − | 0.345773i | ||||
\(611\) | 3.42506 | − | 1.97746i | 0.138563 | − | 0.0799995i | ||||
\(612\) | 0.125228 | − | 0.539869i | 0.00506204 | − | 0.0218229i | ||||
\(613\) | −21.0518 | − | 12.1542i | −0.850273 | − | 0.490905i | 0.0104700 | − | 0.999945i | \(-0.496667\pi\) |
−0.860743 | + | 0.509040i | \(0.830001\pi\) | |||||||
\(614\) | −2.41983 | + | 4.19127i | −0.0976565 | + | 0.169146i | ||||
\(615\) | 16.1074 | − | 23.6678i | 0.649511 | − | 0.954378i | ||||
\(616\) | −4.07544 | − | 2.79451i | −0.164204 | − | 0.112594i | ||||
\(617\) | −3.63503 | + | 6.29606i | −0.146341 | + | 0.253470i | −0.929872 | − | 0.367882i | \(-0.880083\pi\) |
0.783532 | + | 0.621352i | \(0.213416\pi\) | |||||||
\(618\) | −8.81247 | + | 11.8965i | −0.354489 | + | 0.478546i | ||||
\(619\) | 13.1691i | 0.529310i | 0.964343 | + | 0.264655i | \(0.0852582\pi\) | ||||
−0.964343 | + | 0.264655i | \(0.914742\pi\) | |||||||
\(620\) | 10.8946 | + | 5.72174i | 0.437539 | + | 0.229791i | ||||
\(621\) | 18.8940 | + | 6.72377i | 0.758190 | + | 0.269816i | ||||
\(622\) | −13.4081 | −0.537618 | ||||||||
\(623\) | −24.9361 | − | 1.93547i | −0.999043 | − | 0.0775430i | ||||
\(624\) | −1.41087 | − | 3.24939i | −0.0564802 | − | 0.130080i | ||||
\(625\) | 24.6806 | − | 3.98330i | 0.987225 | − | 0.159332i | ||||
\(626\) | 11.4954 | + | 19.9106i | 0.459447 | + | 0.795786i | ||||
\(627\) | −3.10097 | − | 7.14186i | −0.123841 | − | 0.285218i | ||||
\(628\) | 3.31087 | − | 5.73460i | 0.132118 | − | 0.228835i | ||||
\(629\) | −0.569937 | −0.0227249 | ||||||||
\(630\) | 3.74986 | + | 14.1982i | 0.149398 | + | 0.565671i | ||||
\(631\) | −4.37610 | −0.174210 | −0.0871050 | − | 0.996199i | \(-0.527762\pi\) | ||||
−0.0871050 | + | 0.996199i | \(0.527762\pi\) | |||||||
\(632\) | 5.63847 | − | 9.76612i | 0.224286 | − | 0.388476i | ||||
\(633\) | −19.4218 | + | 26.2187i | −0.771948 | + | 1.04210i | ||||
\(634\) | 7.42702 | + | 12.8640i | 0.294965 | + | 0.510894i | ||||
\(635\) | −0.0115552 | − | 0.288700i | −0.000458553 | − | 0.0114567i | ||||
\(636\) | −9.10523 | − | 1.04219i | −0.361046 | − | 0.0413254i | ||||
\(637\) | 39.1789 | + | 6.11879i | 1.55233 | + | 0.242435i | ||||
\(638\) | 3.52114 | 0.139403 | ||||||||
\(639\) | 9.20618 | − | 39.6887i | 0.364191 | − | 1.57006i | ||||
\(640\) | −8.53292 | + | 16.2473i | −0.337293 | + | 0.642232i | ||||
\(641\) | − | 15.2910i | − | 0.603958i | −0.953315 | − | 0.301979i | \(-0.902353\pi\) | ||
0.953315 | − | 0.301979i | \(-0.0976473\pi\) | |||||||
\(642\) | −13.9324 | − | 1.59471i | −0.549868 | − | 0.0629381i | ||||
\(643\) | −11.7908 | + | 20.4223i | −0.464984 | + | 0.805376i | −0.999201 | − | 0.0399718i | \(-0.987273\pi\) |
0.534217 | + | 0.845347i | \(0.320607\pi\) | |||||||
\(644\) | −13.3917 | − | 1.03943i | −0.527706 | − | 0.0409591i | ||||
\(645\) | 5.91896 | − | 2.85654i | 0.233059 | − | 0.112476i | ||||
\(646\) | 0.383604 | − | 0.664422i | 0.0150927 | − | 0.0261413i | ||||
\(647\) | −24.6808 | − | 14.2495i | −0.970302 | − | 0.560204i | −0.0709734 | − | 0.997478i | \(-0.522611\pi\) |
−0.899328 | + | 0.437274i | \(0.855944\pi\) | |||||||
\(648\) | −22.1676 | − | 10.8688i | −0.870825 | − | 0.426965i | ||||
\(649\) | 0.339836 | − | 0.196205i | 0.0133397 | − | 0.00770171i | ||||
\(650\) | −13.3025 | − | 19.2945i | −0.521765 | − | 0.756792i | ||||
\(651\) | 3.64774 | − | 18.8222i | 0.142966 | − | 0.737701i | ||||
\(652\) | −9.15551 | − | 5.28594i | −0.358558 | − | 0.207013i | ||||
\(653\) | 14.7812 | 0.578434 | 0.289217 | − | 0.957264i | \(-0.406605\pi\) | ||||
0.289217 | + | 0.957264i | \(0.406605\pi\) | |||||||
\(654\) | 3.30838 | + | 7.61955i | 0.129368 | + | 0.297948i | ||||
\(655\) | −10.3737 | + | 0.415205i | −0.405333 | + | 0.0162234i | ||||
\(656\) | −1.33440 | − | 2.31125i | −0.0520996 | − | 0.0902392i | ||||
\(657\) | 23.5546 | − | 25.2068i | 0.918953 | − | 0.983412i | ||||
\(658\) | −0.118270 | + | 1.52376i | −0.00461065 | + | 0.0594023i | ||||
\(659\) | 2.63390 | − | 1.52068i | 0.102602 | − | 0.0592373i | −0.447821 | − | 0.894123i | \(-0.647800\pi\) |
0.550423 | + | 0.834886i | \(0.314466\pi\) | |||||||
\(660\) | −3.12385 | + | 1.50760i | −0.121596 | + | 0.0586831i | ||||
\(661\) | 16.3090 | − | 9.41603i | 0.634348 | − | 0.366241i | −0.148086 | − | 0.988975i | \(-0.547311\pi\) |
0.782434 | + | 0.622733i | \(0.213978\pi\) | |||||||
\(662\) | −8.93003 | − | 15.4673i | −0.347075 | − | 0.601152i | ||||
\(663\) | 1.26397 | − | 0.548810i | 0.0490884 | − | 0.0213140i | ||||
\(664\) | 17.5359 | − | 10.1244i | 0.680527 | − | 0.392902i | ||||
\(665\) | 1.46279 | − | 39.0328i | 0.0567247 | − | 1.51363i | ||||
\(666\) | −2.27619 | + | 9.81289i | −0.0882007 | + | 0.380242i | ||||
\(667\) | 20.8917 | − | 12.0618i | 0.808929 | − | 0.467035i | ||||
\(668\) | 4.68770i | 0.181373i | ||||||||
\(669\) | −9.82429 | − | 22.6264i | −0.379829 | − | 0.874786i | ||||
\(670\) | −0.719400 | − | 17.9738i | −0.0277929 | − | 0.694389i | ||||
\(671\) | 2.94132 | − | 5.09452i | 0.113548 | − | 0.196672i | ||||
\(672\) | 26.0265 | + | 5.04391i | 1.00399 | + | 0.194573i | ||||
\(673\) | 22.4784 | − | 12.9779i | 0.866480 | − | 0.500263i | 0.000303202 | − | 1.00000i | \(-0.499903\pi\) |
0.866177 | + | 0.499737i | \(0.166570\pi\) | |||||||
\(674\) | 13.7843 | − | 7.95834i | 0.530950 | − | 0.306544i | ||||
\(675\) | 25.0949 | + | 6.72649i | 0.965903 | + | 0.258903i | ||||
\(676\) | 12.5557 | − | 21.7471i | 0.482910 | − | 0.836425i | ||||
\(677\) | 42.9391 | + | 24.7909i | 1.65028 | + | 0.952791i | 0.976955 | + | 0.213446i | \(0.0684688\pi\) |
0.673327 | + | 0.739345i | \(0.264865\pi\) | |||||||
\(678\) | 0.988244 | + | 2.27603i | 0.0379533 | + | 0.0874103i | ||||
\(679\) | 33.7517 | + | 2.61972i | 1.29527 | + | 0.100536i | ||||
\(680\) | −0.762672 | − | 0.400547i | −0.0292471 | − | 0.0153603i | ||||
\(681\) | −4.73604 | + | 41.3771i | −0.181485 | + | 1.58557i | ||||
\(682\) | −2.35691 | −0.0902508 | ||||||||
\(683\) | 19.6199 | − | 33.9826i | 0.750733 | − | 1.30031i | −0.196735 | − | 0.980457i | \(-0.563034\pi\) |
0.947468 | − | 0.319851i | \(-0.103633\pi\) | |||||||
\(684\) | 19.0364 | + | 17.7886i | 0.727874 | + | 0.680165i | ||||
\(685\) | −5.00294 | + | 0.200242i | −0.191153 | + | 0.00765086i | ||||
\(686\) | −10.5122 | + | 11.1496i | −0.401359 | + | 0.425693i | ||||
\(687\) | 4.32329 | − | 37.7710i | 0.164944 | − | 1.44106i | ||||
\(688\) | − | 0.612666i | − | 0.0233577i | ||||||
\(689\) | −11.3935 | − | 19.7342i | −0.434059 | − | 0.751813i | ||||
\(690\) | 6.95859 | − | 10.2248i | 0.264909 | − | 0.389252i | ||||
\(691\) | −27.1988 | − | 15.7033i | −1.03469 | − | 0.597380i | −0.116367 | − | 0.993206i | \(-0.537125\pi\) |
−0.918325 | + | 0.395826i | \(0.870458\pi\) | |||||||
\(692\) | − | 31.8902i | − | 1.21228i | ||||||
\(693\) | 3.65114 | + | 3.98418i | 0.138695 | + | 0.151347i | ||||
\(694\) | 13.8857 | 0.527094 | ||||||||
\(695\) | 29.5533 | + | 15.5211i | 1.12102 | + | 0.588748i | ||||
\(696\) | −27.2408 | + | 11.8279i | −1.03256 | + | 0.448334i | ||||
\(697\) | 0.899045 | − | 0.519064i | 0.0340537 | − | 0.0196609i | ||||
\(698\) | 13.5072i | 0.511256i | ||||||||
\(699\) | −20.5104 | − | 47.2377i | −0.775776 | − | 1.78669i | ||||
\(700\) | −17.4010 | + | 0.0442859i | −0.657694 | + | 0.00167385i | ||||
\(701\) | 38.6747i | 1.46072i | 0.683060 | + | 0.730362i | \(0.260649\pi\) | ||||
−0.683060 | + | 0.730362i | \(0.739351\pi\) | |||||||
\(702\) | −4.40115 | − | 23.9541i | −0.166111 | − | 0.904091i | ||||
\(703\) | 13.3969 | − | 23.2042i | 0.505275 | − | 0.875162i | ||||
\(704\) | − | 2.76739i | − | 0.104300i | ||||||
\(705\) | 2.23537 | + | 1.52130i | 0.0841890 | + | 0.0572957i | ||||
\(706\) | −21.4834 | − | 12.4035i | −0.808540 | − | 0.466811i | ||||
\(707\) | 23.4495 | − | 34.1981i | 0.881909 | − | 1.28615i | ||||
\(708\) | −0.781613 | + | 1.05515i | −0.0293748 | + | 0.0396548i | ||||
\(709\) | 8.90332 | − | 15.4210i | 0.334371 | − | 0.579148i | −0.648993 | − | 0.760795i | \(-0.724809\pi\) |
0.983364 | + | 0.181647i | \(0.0581427\pi\) | |||||||
\(710\) | −22.2452 | − | 11.6829i | −0.834848 | − | 0.438453i | ||||
\(711\) | −8.42020 | + | 9.01082i | −0.315782 | + | 0.337932i | ||||
\(712\) | −12.9661 | − | 22.4579i | −0.485925 | − | 0.841646i | ||||
\(713\) | −13.9840 | + | 8.07369i | −0.523707 | + | 0.302362i | ||||
\(714\) | −0.101314 | + | 0.522777i | −0.00379158 | + | 0.0195644i | ||||
\(715\) | −7.63540 | − | 4.01003i | −0.285548 | − | 0.149967i | ||||
\(716\) | 27.2794i | 1.01948i | ||||||||
\(717\) | 17.6596 | + | 13.0816i | 0.659510 | + | 0.488541i | ||||
\(718\) | 0.511250i | 0.0190797i | ||||||||
\(719\) | −13.6537 | − | 23.6488i | −0.509196 | − | 0.881953i | −0.999943 | − | 0.0106510i | \(-0.996610\pi\) |
0.490748 | − | 0.871302i | \(-0.336724\pi\) | |||||||
\(720\) | 1.58150 | − | 1.83430i | 0.0589392 | − | 0.0683605i | ||||
\(721\) | −15.4568 | + | 22.5418i | −0.575642 | + | 0.839501i | ||||
\(722\) | 10.1736 | + | 17.6211i | 0.378621 | + | 0.655791i | ||||
\(723\) | −1.12985 | + | 9.87109i | −0.0420195 | + | 0.367110i | ||||
\(724\) | −21.8503 | + | 12.6153i | −0.812061 | + | 0.468843i | ||||
\(725\) | 25.7296 | − | 17.7391i | 0.955573 | − | 0.658814i | ||||
\(726\) | −8.98807 | + | 12.1335i | −0.333579 | + | 0.450318i | ||||
\(727\) | −21.0203 | − | 36.4082i | −0.779598 | − | 1.35030i | −0.932174 | − | 0.362012i | \(-0.882090\pi\) |
0.152575 | − | 0.988292i | \(-0.451243\pi\) | |||||||
\(728\) | 17.7401 | + | 37.0900i | 0.657493 | + | 1.37465i | ||||
\(729\) | 20.9300 | + | 17.0568i | 0.775186 | + | 0.631733i | ||||
\(730\) | −11.3665 | − | 17.9856i | −0.420694 | − | 0.665677i | ||||
\(731\) | 0.238319 | 0.00881453 | ||||||||
\(732\) | −2.23853 | + | 19.5572i | −0.0827383 | + | 0.722856i | ||||
\(733\) | −38.9106 | −1.43720 | −0.718598 | − | 0.695426i | \(-0.755216\pi\) | ||||
−0.718598 | + | 0.695426i | \(0.755216\pi\) | |||||||
\(734\) | −2.16062 | + | 3.74231i | −0.0797500 | + | 0.138131i | ||||
\(735\) | 7.87479 | + | 25.9420i | 0.290466 | + | 0.956885i | ||||
\(736\) | −11.1639 | − | 19.3365i | −0.411507 | − | 0.712751i | ||||
\(737\) | −3.30984 | − | 5.73281i | −0.121920 | − | 0.211171i | ||||
\(738\) | −5.34640 | − | 17.5523i | −0.196804 | − | 0.646109i | ||||
\(739\) | −24.3794 | + | 42.2264i | −0.896811 | + | 1.55332i | −0.0652649 | + | 0.997868i | \(0.520789\pi\) |
−0.831547 | + | 0.555455i | \(0.812544\pi\) | |||||||
\(740\) | −10.5677 | − | 5.55004i | −0.388476 | − | 0.204023i | ||||
\(741\) | −7.36677 | + | 64.3609i | −0.270625 | + | 2.36436i | ||||
\(742\) | 8.77944 | + | 0.681437i | 0.322304 | + | 0.0250163i | ||||
\(743\) | −11.7042 | + | 20.2722i | −0.429384 | + | 0.743715i | −0.996819 | − | 0.0797035i | \(-0.974603\pi\) |
0.567435 | + | 0.823418i | \(0.307936\pi\) | |||||||
\(744\) | 18.2339 | − | 7.91710i | 0.668487 | − | 0.290255i | ||||
\(745\) | −0.553271 | − | 13.8232i | −0.0202703 | − | 0.506442i | ||||
\(746\) | 2.99196 | + | 1.72741i | 0.109544 | + | 0.0632450i | ||||
\(747\) | −21.1835 | + | 6.45246i | −0.775064 | + | 0.236083i | ||||
\(748\) | −0.125777 | −0.00459887 | ||||||||
\(749\) | −25.8116 | − | 2.00343i | −0.943137 | − | 0.0732038i | ||||
\(750\) | 7.92732 | − | 13.9243i | 0.289465 | − | 0.508443i | ||||
\(751\) | 9.33718 | 0.340718 | 0.170359 | − | 0.985382i | \(-0.445507\pi\) | ||||
0.170359 | + | 0.985382i | \(0.445507\pi\) | |||||||
\(752\) | 0.218293 | − | 0.126031i | 0.00796032 | − | 0.00459589i | ||||
\(753\) | −12.2412 | − | 1.40113i | −0.446095 | − | 0.0510602i | ||||
\(754\) | −25.3715 | − | 14.6483i | −0.923977 | − | 0.533458i | ||||
\(755\) | 38.9915 | − | 1.56063i | 1.41905 | − | 0.0567972i | ||||
\(756\) | −16.5167 | − | 7.36315i | −0.600708 | − | 0.267795i | ||||
\(757\) | 26.1856i | 0.951731i | 0.879518 | + | 0.475865i | \(0.157865\pi\) | ||||
−0.879518 | + | 0.475865i | \(0.842135\pi\) | |||||||
\(758\) | −5.53969 | + | 9.59503i | −0.201211 | + | 0.348507i | ||||
\(759\) | 0.517581 | − | 4.52193i | 0.0187870 | − | 0.164136i | ||||
\(760\) | 34.2350 | − | 21.6358i | 1.24183 | − | 0.784813i | ||||
\(761\) | 25.1347 | 0.911130 | 0.455565 | − | 0.890202i | \(-0.349437\pi\) | ||||
0.455565 | + | 0.890202i | \(0.349437\pi\) | |||||||
\(762\) | −0.148800 | − | 0.110225i | −0.00539045 | − | 0.00399305i | ||||
\(763\) | 6.61707 | + | 13.8346i | 0.239554 | + | 0.500845i | ||||
\(764\) | 18.1423i | 0.656366i | ||||||||
\(765\) | 0.713518 | + | 0.615183i | 0.0257973 | + | 0.0222420i | ||||
\(766\) | −6.75727 | − | 3.90131i | −0.244150 | − | 0.140960i | ||||
\(767\) | −3.26492 | −0.117889 | ||||||||
\(768\) | 10.2922 | + | 23.7039i | 0.371386 | + | 0.855341i | ||||
\(769\) | 13.1364 | + | 7.58433i | 0.473712 | + | 0.273498i | 0.717793 | − | 0.696257i | \(-0.245153\pi\) |
−0.244080 | + | 0.969755i | \(0.578486\pi\) | |||||||
\(770\) | 2.94667 | − | 1.55714i | 0.106191 | − | 0.0561155i | ||||
\(771\) | 5.63935 | − | 49.2690i | 0.203096 | − | 1.77438i | ||||
\(772\) | −4.81355 | − | 2.77911i | −0.173244 | − | 0.100022i | ||||
\(773\) | 26.5947 | + | 15.3545i | 0.956545 | + | 0.552261i | 0.895108 | − | 0.445850i | \(-0.147098\pi\) |
0.0614368 | + | 0.998111i | \(0.480432\pi\) | |||||||
\(774\) | 0.951788 | − | 4.10325i | 0.0342113 | − | 0.147488i | ||||
\(775\) | −17.2224 | + | 11.8738i | −0.618645 | + | 0.426521i | ||||
\(776\) | 17.5500 | + | 30.3975i | 0.630009 | + | 1.09121i | ||||
\(777\) | −3.53827 | + | 18.2574i | −0.126935 | + | 0.654980i | ||||
\(778\) | 9.01108 | + | 5.20255i | 0.323063 | + | 0.186521i | ||||
\(779\) | 48.8044i | 1.74860i | ||||||||
\(780\) | 28.7806 | + | 2.13253i | 1.03051 | + | 0.0763567i | ||||
\(781\) | −9.24658 | −0.330869 | ||||||||
\(782\) | 0.388399 | − | 0.224242i | 0.0138891 | − | 0.00801889i | ||||
\(783\) | 31.9433 | − | 5.86902i | 1.14156 | − | 0.209742i | ||||
\(784\) | 2.49703 | + | 0.389975i | 0.0891796 | + | 0.0139277i | ||||
\(785\) | 6.01360 | + | 9.51550i | 0.214635 | + | 0.339623i | ||||
\(786\) | −3.96066 | + | 5.34673i | −0.141272 | + | 0.190712i | ||||
\(787\) | 0.445102 | + | 0.770939i | 0.0158662 | + | 0.0274810i | 0.873849 | − | 0.486197i | \(-0.161616\pi\) |
−0.857983 | + | 0.513678i | \(0.828283\pi\) | |||||||
\(788\) | 2.79056 | + | 4.83340i | 0.0994097 | + | 0.172183i | ||||
\(789\) | 46.4268 | + | 5.31403i | 1.65284 | + | 0.189184i | ||||
\(790\) | 4.06325 | + | 6.42941i | 0.144564 | + | 0.228748i | ||||
\(791\) | 1.97658 | + | 4.13251i | 0.0702790 | + | 0.146935i | ||||
\(792\) | −1.26609 | + | 5.45823i | −0.0449885 | + | 0.193950i | ||||
\(793\) | −42.3873 | + | 24.4723i | −1.50522 | + | 0.869037i | ||||
\(794\) | −9.86119 | −0.349961 | ||||||||
\(795\) | 8.76531 | − | 12.8796i | 0.310874 | − | 0.456791i | ||||
\(796\) | − | 13.7208i | − | 0.486322i | ||||||
\(797\) | −21.7294 | − | 12.5455i | −0.769695 | − | 0.444384i | 0.0630709 | − | 0.998009i | \(-0.479911\pi\) |
−0.832766 | + | 0.553626i | \(0.813244\pi\) | |||||||
\(798\) | −18.9026 | − | 16.4132i | −0.669145 | − | 0.581022i | ||||
\(799\) | 0.0490244 | + | 0.0849128i | 0.00173436 | + | 0.00300400i | ||||
\(800\) | −16.4186 | − | 23.8142i | −0.580484 | − | 0.841960i | ||||
\(801\) | 8.26353 | + | 27.1293i | 0.291977 | + | 0.958566i | ||||
\(802\) | 16.2238 | + | 9.36681i | 0.572882 | + | 0.330753i | ||||
\(803\) | −6.78071 | − | 3.91484i | −0.239286 | − | 0.138152i | ||||
\(804\) | 17.7996 | + | 13.1853i | 0.627744 | + | 0.465009i | ||||
\(805\) | 12.1492 | − | 19.3328i | 0.428202 | − | 0.681392i | ||||
\(806\) | 16.9827 | + | 9.80496i | 0.598190 | + | 0.345365i | ||||
\(807\) | 9.07822 | − | 12.2552i | 0.319568 | − | 0.431404i | ||||
\(808\) | 42.9926 | 1.51248 | ||||||||
\(809\) | 14.5627 | + | 8.40775i | 0.511996 | + | 0.295601i | 0.733654 | − | 0.679524i | \(-0.237813\pi\) |
−0.221658 | + | 0.975124i | \(0.571147\pi\) | |||||||
\(810\) | 13.4415 | − | 9.82810i | 0.472287 | − | 0.345324i | ||||
\(811\) | 47.8923i | 1.68173i | 0.541248 | + | 0.840863i | \(0.317952\pi\) | ||||
−0.541248 | + | 0.840863i | \(0.682048\pi\) | |||||||
\(812\) | −19.6235 | + | 9.38592i | −0.688651 | + | 0.329381i | ||||
\(813\) | 17.5539 | − | 7.62186i | 0.615643 | − | 0.267310i | ||||
\(814\) | 2.28618 | 0.0801306 | ||||||||
\(815\) | 15.1919 | − | 9.60094i | 0.532148 | − | 0.336306i | ||||
\(816\) | 0.0805576 | − | 0.0349778i | 0.00282008 | − | 0.00122447i | ||||
\(817\) | −5.60191 | + | 9.70279i | −0.195986 | + | 0.339458i | ||||
\(818\) | 8.06800i | 0.282091i | ||||||||
\(819\) | −9.73366 | − | 43.8970i | −0.340122 | − | 1.53389i | ||||
\(820\) | 21.7246 | − | 0.869523i | 0.758655 | − | 0.0303651i | ||||
\(821\) | −18.3699 | − | 10.6059i | −0.641114 | − | 0.370147i | 0.143930 | − | 0.989588i | \(-0.454026\pi\) |
−0.785043 | + | 0.619441i | \(0.787359\pi\) | |||||||
\(822\) | −1.91012 | + | 2.57859i | −0.0666232 | + | 0.0899386i | ||||
\(823\) | −25.4281 | + | 14.6809i | −0.886369 | + | 0.511746i | −0.872753 | − | 0.488162i | \(-0.837668\pi\) |
−0.0136162 | + | 0.999907i | \(0.504334\pi\) | |||||||
\(824\) | −28.3387 | −0.987226 | ||||||||
\(825\) | 0.200187 | − | 5.89298i | 0.00696961 | − | 0.205167i | ||||
\(826\) | 0.713511 | − | 1.04057i | 0.0248262 | − | 0.0362059i | ||||
\(827\) | −34.6613 | −1.20529 | −0.602646 | − | 0.798009i | \(-0.705887\pi\) | ||||
−0.602646 | + | 0.798009i | \(0.705887\pi\) | |||||||
\(828\) | 4.43785 | + | 14.5695i | 0.154226 | + | 0.506325i | ||||
\(829\) | −44.0905 | − | 25.4557i | −1.53133 | − | 0.884112i | −0.999301 | − | 0.0373844i | \(-0.988097\pi\) |
−0.532026 | − | 0.846728i | \(-0.678569\pi\) | |||||||
\(830\) | 0.546174 | + | 13.6459i | 0.0189580 | + | 0.473655i | ||||
\(831\) | −0.730519 | + | 6.38229i | −0.0253414 | + | 0.221399i | ||||
\(832\) | −11.5126 | + | 19.9404i | −0.399127 | + | 0.691307i | ||||
\(833\) | −0.151695 | + | 0.971309i | −0.00525591 | + | 0.0336539i | ||||
\(834\) | 19.6243 | − | 8.52080i | 0.679533 | − | 0.295051i | ||||
\(835\) | −7.05495 | − | 3.70518i | −0.244147 | − | 0.128223i | ||||
\(836\) | 2.95652 | − | 5.12084i | 0.102253 | − | 0.177108i | ||||
\(837\) | −21.3816 | + | 3.92849i | −0.739056 | + | 0.135788i | ||||
\(838\) | 2.07818 | + | 3.59952i | 0.0717896 | + | 0.124343i | ||||
\(839\) | −5.68336 | − | 9.84386i | −0.196211 | − | 0.339848i | 0.751086 | − | 0.660205i | \(-0.229531\pi\) |
−0.947297 | + | 0.320357i | \(0.896197\pi\) | |||||||
\(840\) | −17.5659 | + | 21.9448i | −0.606082 | + | 0.757166i | ||||
\(841\) | 5.03376 | − | 8.71873i | 0.173578 | − | 0.300646i | ||||
\(842\) | 15.8725 | 0.547001 | ||||||||
\(843\) | −38.6480 | + | 16.7808i | −1.33111 | + | 0.577962i | ||||
\(844\) | −24.7795 | −0.852947 | ||||||||
\(845\) | 22.8051 | + | 36.0852i | 0.784519 | + | 1.24137i | ||||
\(846\) | 1.65778 | − | 0.504956i | 0.0569955 | − | 0.0173607i | ||||
\(847\) | −15.7648 | + | 22.9910i | −0.541686 | + | 0.789980i | ||||
\(848\) | −0.726156 | − | 1.25774i | −0.0249363 | − | 0.0431909i | ||||
\(849\) | −6.43157 | − | 14.8126i | −0.220731 | − | 0.508367i | ||||
\(850\) | 0.478342 | − | 0.329789i | 0.0164070 | − | 0.0113117i | ||||
\(851\) | 13.5644 | − | 7.83141i | 0.464981 | − | 0.268457i | ||||
\(852\) | 28.3817 | − | 12.3232i | 0.972339 | − | 0.422186i | ||||
\(853\) | 3.76286 | + | 6.51747i | 0.128838 | + | 0.223154i | 0.923227 | − | 0.384256i | \(-0.125542\pi\) |
−0.794389 | + | 0.607410i | \(0.792209\pi\) | |||||||
\(854\) | 1.46367 | − | 18.8575i | 0.0500856 | − | 0.645289i | ||||
\(855\) | −41.8182 | + | 14.5894i | −1.43015 | + | 0.498946i | ||||
\(856\) | −13.4214 | − | 23.2465i | −0.458733 | − | 0.794548i | ||||
\(857\) | − | 35.9371i | − | 1.22759i | −0.789466 | − | 0.613795i | \(-0.789642\pi\) | ||
0.789466 | − | 0.613795i | \(-0.210358\pi\) | |||||||
\(858\) | −5.07013 | + | 2.20143i | −0.173091 | + | 0.0751557i | ||||
\(859\) | 25.9184i | 0.884324i | 0.896935 | + | 0.442162i | \(0.145788\pi\) | ||||
−0.896935 | + | 0.442162i | \(0.854212\pi\) | |||||||
\(860\) | 4.41887 | + | 2.32074i | 0.150682 | + | 0.0791366i | ||||
\(861\) | −11.0463 | − | 32.0224i | −0.376456 | − | 1.09132i | ||||
\(862\) | 7.39420 | − | 4.26905i | 0.251848 | − | 0.145404i | ||||
\(863\) | 14.3542 | + | 24.8622i | 0.488622 | + | 0.846319i | 0.999914 | − | 0.0130885i | \(-0.00416631\pi\) |
−0.511292 | + | 0.859407i | \(0.670833\pi\) | |||||||
\(864\) | −5.43212 | − | 29.5654i | −0.184804 | − | 1.00584i | ||||
\(865\) | 47.9945 | + | 25.2062i | 1.63186 | + | 0.857037i | ||||
\(866\) | 1.02677 | − | 1.77841i | 0.0348910 | − | 0.0604330i | ||||
\(867\) | −11.7135 | − | 26.9775i | −0.397812 | − | 0.916202i | ||||
\(868\) | 13.1352 | − | 6.28256i | 0.445838 | − | 0.213244i | ||||
\(869\) | 2.42394 | + | 1.39946i | 0.0822264 | + | 0.0474734i | ||||
\(870\) | 1.48006 | − | 19.9749i | 0.0501788 | − | 0.677214i | ||||
\(871\) | 55.0769i | 1.86621i | ||||||||
\(872\) | −7.95020 | + | 13.7701i | −0.269228 | + | 0.466316i | ||||
\(873\) | −11.1849 | − | 36.7203i | −0.378553 | − | 1.24279i | ||||
\(874\) | 21.0841i | 0.713182i | ||||||||
\(875\) | 13.6872 | − | 26.2233i | 0.462710 | − | 0.886509i | ||||
\(876\) | 26.0303 | + | 2.97944i | 0.879482 | + | 0.100666i | ||||
\(877\) | − | 24.4719i | − | 0.826357i | −0.910650 | − | 0.413178i | \(-0.864419\pi\) | ||
0.910650 | − | 0.413178i | \(-0.135581\pi\) | |||||||
\(878\) | −12.6658 | + | 7.31263i | −0.427452 | + | 0.246789i | ||||
\(879\) | −12.5378 | − | 9.28756i | −0.422891 | − | 0.313262i | ||||
\(880\) | −0.486634 | − | 0.255575i | −0.0164044 | − | 0.00861543i | ||||
\(881\) | 13.1998 | 0.444713 | 0.222357 | − | 0.974965i | \(-0.428625\pi\) | ||||
0.222357 | + | 0.974965i | \(0.428625\pi\) | |||||||
\(882\) | 16.1177 | + | 6.49098i | 0.542710 | + | 0.218563i | ||||
\(883\) | − | 0.983617i | − | 0.0331014i | −0.999863 | − | 0.0165507i | \(-0.994732\pi\) | ||
0.999863 | − | 0.0165507i | \(-0.00526849\pi\) | |||||||
\(884\) | 0.906287 | + | 0.523245i | 0.0304817 | + | 0.0175986i | ||||
\(885\) | −0.970196 | − | 2.01032i | −0.0326128 | − | 0.0675760i | ||||
\(886\) | 5.12409 | + | 8.87518i | 0.172147 | + | 0.298168i | ||||
\(887\) | − | 17.1729i | − | 0.576609i | −0.957539 | − | 0.288305i | \(-0.906908\pi\) | ||
0.957539 | − | 0.288305i | \(-0.0930916\pi\) | |||||||
\(888\) | −17.6867 | + | 7.67951i | −0.593527 | + | 0.257707i | ||||
\(889\) | −0.281951 | − | 0.193332i | −0.00945632 | − | 0.00648415i | ||||
\(890\) | 17.4760 | − | 0.699474i | 0.585796 | − | 0.0234464i | ||||
\(891\) | 2.69761 | − | 5.50196i | 0.0903734 | − | 0.184323i | ||||
\(892\) | 9.36665 | − | 16.2235i | 0.313618 | − | 0.543203i | ||||
\(893\) | −4.60947 | −0.154250 | ||||||||
\(894\) | −7.12466 | − | 5.27768i | −0.238284 | − | 0.176512i | ||||
\(895\) | −41.0553 | − | 21.5618i | −1.37233 | − | 0.720732i | ||||
\(896\) | 9.36927 | + | 19.5887i | 0.313005 | + | 0.654413i | ||||
\(897\) | −22.5411 | + | 30.4295i | −0.752624 | + | 1.01601i | ||||
\(898\) | −2.60066 | − | 1.50149i | −0.0867851 | − | 0.0501054i | ||||
\(899\) | −13.0751 | + | 22.6468i | −0.436079 | + | 0.755312i | ||||
\(900\) | 7.23931 | + | 18.3548i | 0.241310 | + | 0.611828i | ||||
\(901\) | 0.489243 | − | 0.282464i | 0.0162990 | − | 0.00941025i | ||||
\(902\) | −3.60632 | + | 2.08211i | −0.120077 | + | 0.0693267i | ||||
\(903\) | 1.47952 | − | 7.63430i | 0.0492354 | − | 0.254054i | ||||
\(904\) | −2.37480 | + | 4.11327i | −0.0789846 | + | 0.136805i | ||||
\(905\) | −1.71530 | − | 42.8558i | −0.0570184 | − | 1.42457i | ||||
\(906\) | 14.8869 | − | 20.0968i | 0.494585 | − | 0.667670i | ||||
\(907\) | 22.9622i | 0.762449i | 0.924483 | + | 0.381224i | \(0.124497\pi\) | ||||
−0.924483 | + | 0.381224i | \(0.875503\pi\) | |||||||
\(908\) | −27.3912 | + | 15.8143i | −0.909010 | + | 0.524817i | ||||
\(909\) | −45.8015 | − | 10.6241i | −1.51914 | − | 0.352379i | ||||
\(910\) | −27.7101 | − | 1.03846i | −0.918580 | − | 0.0344247i | ||||
\(911\) | −15.2679 | + | 8.81490i | −0.505847 | + | 0.292051i | −0.731125 | − | 0.682244i | \(-0.761004\pi\) |
0.225278 | + | 0.974295i | \(0.427671\pi\) | |||||||
\(912\) | −0.469513 | + | 4.10197i | −0.0155471 | + | 0.135830i | ||||
\(913\) | 2.51286 | + | 4.35239i | 0.0831634 | + | 0.144043i | ||||
\(914\) | −11.7383 | + | 6.77709i | −0.388267 | + | 0.224166i | ||||
\(915\) | −27.6641 | − | 18.8271i | −0.914548 | − | 0.622405i | ||||
\(916\) | 25.0041 | − | 14.4361i | 0.826158 | − | 0.476982i | ||||
\(917\) | −6.94688 | + | 10.1312i | −0.229406 | + | 0.334560i | ||||
\(918\) | 0.593862 | − | 0.109112i | 0.0196004 | − | 0.00360122i | ||||
\(919\) | −1.25518 | − | 2.17404i | −0.0414046 | − | 0.0717148i | 0.844580 | − | 0.535429i | \(-0.179850\pi\) |
−0.885985 | + | 0.463714i | \(0.846517\pi\) | |||||||
\(920\) | 23.6553 | − | 0.946799i | 0.779891 | − | 0.0312151i | ||||
\(921\) | 10.0653 | + | 1.15208i | 0.331664 | + | 0.0379624i | ||||
\(922\) | 3.46937 | 0.114258 | ||||||||
\(923\) | 66.6261 | + | 38.4666i | 2.19302 | + | 1.26614i | ||||
\(924\) | −0.780847 | + | 4.02915i | −0.0256880 | + | 0.132549i | ||||
\(925\) | 16.7055 | − | 11.5175i | 0.549274 | − | 0.378694i | ||||
\(926\) | 2.99940 | − | 1.73170i | 0.0985662 | − | 0.0569072i | ||||
\(927\) | 30.1902 | + | 7.00290i | 0.991576 | + | 0.230005i | ||||
\(928\) | −31.3148 | − | 18.0796i | −1.02796 | − | 0.593493i | ||||
\(929\) | 2.76218 | − | 4.78423i | 0.0906241 | − | 0.156965i | −0.817150 | − | 0.576425i | \(-0.804447\pi\) |
0.907774 | + | 0.419460i | \(0.137780\pi\) | |||||||
\(930\) | −0.990695 | + | 13.3704i | −0.0324862 | + | 0.438433i | ||||
\(931\) | −35.9797 | − | 29.0076i | −1.17919 | − | 0.950685i | ||||
\(932\) | 19.5550 | − | 33.8702i | 0.640545 | − | 1.10946i | ||||
\(933\) | 11.1787 | + | 25.7457i | 0.365973 | + | 0.842875i | ||||
\(934\) | − | 8.76789i | − | 0.286894i | ||||||
\(935\) | 0.0994151 | − | 0.189294i | 0.00325122 | − | 0.00619057i | ||||
\(936\) | 31.8295 | − | 34.0621i | 1.04038 | − | 1.11336i | ||||
\(937\) | 10.6252 | 0.347109 | 0.173555 | − | 0.984824i | \(-0.444475\pi\) | ||||
0.173555 | + | 0.984824i | \(0.444475\pi\) | |||||||
\(938\) | −17.5536 | − | 12.0364i | −0.573147 | − | 0.393004i | ||||
\(939\) | 28.6473 | − | 38.6727i | 0.934870 | − | 1.26204i | ||||
\(940\) | 0.0821246 | + | 2.05184i | 0.00267861 | + | 0.0669236i | ||||
\(941\) | −13.5119 | − | 23.4033i | −0.440476 | − | 0.762927i | 0.557249 | − | 0.830346i | \(-0.311857\pi\) |
−0.997725 | + | 0.0674189i | \(0.978524\pi\) | |||||||
\(942\) | 7.16757 | + | 0.820403i | 0.233532 | + | 0.0267302i | ||||
\(943\) | −14.2647 | + | 24.7072i | −0.464523 | + | 0.804578i | ||||
\(944\) | −0.208086 | −0.00677262 | ||||||||
\(945\) | 24.1364 | − | 19.0377i | 0.785157 | − | 0.619296i | ||||
\(946\) | −0.955964 | −0.0310811 | ||||||||
\(947\) | −28.7829 | + | 49.8534i | −0.935318 | + | 1.62002i | −0.161253 | + | 0.986913i | \(0.551553\pi\) |
−0.774066 | + | 0.633105i | \(0.781780\pi\) | |||||||
\(948\) | −9.30519 | − | 1.06508i | −0.302219 | − | 0.0345920i | ||||
\(949\) | 32.5722 | + | 56.4167i | 1.05734 | + | 1.83136i | ||||
\(950\) | 2.18301 | + | 27.2270i | 0.0708262 | + | 0.883360i | ||||
\(951\) | 18.5087 | − | 24.9860i | 0.600185 | − | 0.810226i | ||||
\(952\) | −0.919521 | + | 0.439806i | −0.0298018 | + | 0.0142542i | ||||
\(953\) | −38.1754 | −1.23662 | −0.618311 | − | 0.785934i | \(-0.712183\pi\) | ||||
−0.618311 | + | 0.785934i | \(0.712183\pi\) | |||||||
\(954\) | −2.90941 | − | 9.55162i | −0.0941955 | − | 0.309245i | ||||
\(955\) | −27.3041 | − | 14.3398i | −0.883539 | − | 0.464025i | ||||
\(956\) | 16.6903i | 0.539802i | ||||||||
\(957\) | −2.93566 | − | 6.76112i | −0.0948963 | − | 0.218556i | ||||
\(958\) | −12.8850 | + | 22.3176i | −0.416297 | + | 0.721048i | ||||
\(959\) | −3.35030 | + | 4.88599i | −0.108187 | + | 0.157777i | ||||
\(960\) | −15.6990 | − | 1.16323i | −0.506683 | − | 0.0375432i | ||||
\(961\) | −6.74804 | + | 11.6880i | −0.217679 | + | 0.377031i | ||||
\(962\) | −16.4730 | − | 9.51072i | −0.531112 | − | 0.306638i | ||||
\(963\) | 8.55368 | + | 28.0818i | 0.275639 | + | 0.904925i | ||||
\(964\) | −6.53457 | + | 3.77273i | −0.210464 | + | 0.121512i | ||||
\(965\) | 7.98719 | − | 5.04774i | 0.257117 | − | 0.162492i | ||||
\(966\) | −4.77213 | − | 13.8341i | −0.153541 | − | 0.445105i | ||||
\(967\) | −26.1648 | − | 15.1062i | −0.841402 | − | 0.485784i | 0.0163387 | − | 0.999867i | \(-0.494799\pi\) |
−0.857740 | + | 0.514083i | \(0.828132\pi\) | |||||||
\(968\) | −28.9034 | −0.928992 | ||||||||
\(969\) | −1.59561 | − | 0.182634i | −0.0512584 | − | 0.00586705i | ||||
\(970\) | −23.6543 | + | 0.946760i | −0.759493 | + | 0.0303986i | ||||
\(971\) | 19.7231 | + | 34.1613i | 0.632943 | + | 1.09629i | 0.986947 | + | 0.161045i | \(0.0514866\pi\) |
−0.354004 | + | 0.935244i | \(0.615180\pi\) | |||||||
\(972\) | −0.947464 | + | 20.4830i | −0.0303899 | + | 0.656994i | ||||
\(973\) | 35.6312 | − | 17.0424i | 1.14228 | − | 0.546353i | ||||
\(974\) | −10.2850 | + | 5.93807i | −0.329554 | + | 0.190268i | ||||
\(975\) | −25.9578 | + | 41.6290i | −0.831314 | + | 1.33319i | ||||
\(976\) | −2.70151 | + | 1.55972i | −0.0864732 | + | 0.0499253i | ||||
\(977\) | 5.01299 | + | 8.68275i | 0.160380 | + | 0.277786i | 0.935005 | − | 0.354635i | \(-0.115395\pi\) |
−0.774625 | + | 0.632421i | \(0.782061\pi\) | |||||||
\(978\) | 1.30981 | − | 11.4433i | 0.0418830 | − | 0.365917i | ||||
\(979\) | 5.57402 | − | 3.21816i | 0.178147 | − | 0.102853i | ||||
\(980\) | −12.2713 | + | 16.5327i | −0.391992 | + | 0.528116i | ||||
\(981\) | 11.8724 | − | 12.7052i | 0.379057 | − | 0.405645i | ||||
\(982\) | 26.1615 | − | 15.1044i | 0.834848 | − | 0.482000i | ||||
\(983\) | 36.8586i | 1.17561i | 0.809004 | + | 0.587803i | \(0.200007\pi\) | ||||
−0.809004 | + | 0.587803i | \(0.799993\pi\) | |||||||
\(984\) | 20.9058 | − | 28.2220i | 0.666452 | − | 0.899683i | ||||
\(985\) | −9.47990 | + | 0.379432i | −0.302055 | + | 0.0120897i | ||||
\(986\) | 0.363154 | − | 0.629001i | 0.0115652 | − | 0.0200315i | ||||
\(987\) | 3.02445 | − | 1.04330i | 0.0962693 | − | 0.0332085i | ||||
\(988\) | −42.6063 | + | 24.5987i | −1.35549 | + | 0.782590i | ||||
\(989\) | −5.67194 | + | 3.27469i | −0.180357 | + | 0.104129i | ||||
\(990\) | −2.86212 | − | 2.46767i | −0.0909643 | − | 0.0784278i | ||||
\(991\) | −2.19100 | + | 3.79492i | −0.0695994 | + | 0.120550i | −0.898725 | − | 0.438513i | \(-0.855505\pi\) |
0.829126 | + | 0.559062i | \(0.188839\pi\) | |||||||
\(992\) | 20.9609 | + | 12.1018i | 0.665509 | + | 0.384232i | ||||
\(993\) | −22.2543 | + | 30.0424i | −0.706219 | + | 0.953367i | ||||
\(994\) | −26.8201 | + | 12.8280i | −0.850683 | + | 0.406881i | ||||
\(995\) | 20.6498 | + | 10.8450i | 0.654641 | + | 0.343811i | ||||
\(996\) | −13.5136 | − | 10.0104i | −0.428195 | − | 0.317191i | ||||
\(997\) | −42.0185 | −1.33074 | −0.665370 | − | 0.746514i | \(-0.731726\pi\) | ||||
−0.665370 | + | 0.746514i | \(0.731726\pi\) | |||||||
\(998\) | 0.131611 | − | 0.227957i | 0.00416607 | − | 0.00721584i | ||||
\(999\) | 20.7399 | − | 3.81060i | 0.656183 | − | 0.120562i |
(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 | 315.2.u.a.59.17 | ✓ | 88 | |
3.2 | odd | 2 | 945.2.u.a.584.28 | 88 | |||
5.4 | even | 2 | inner | 315.2.u.a.59.28 | yes | 88 | |
7.5 | odd | 6 | 315.2.bq.a.194.28 | yes | 88 | ||
9.2 | odd | 6 | 315.2.bq.a.164.17 | yes | 88 | ||
9.7 | even | 3 | 945.2.bq.a.899.28 | 88 | |||
15.14 | odd | 2 | 945.2.u.a.584.17 | 88 | |||
21.5 | even | 6 | 945.2.bq.a.719.17 | 88 | |||
35.19 | odd | 6 | 315.2.bq.a.194.17 | yes | 88 | ||
45.29 | odd | 6 | 315.2.bq.a.164.28 | yes | 88 | ||
45.34 | even | 6 | 945.2.bq.a.899.17 | 88 | |||
63.47 | even | 6 | inner | 315.2.u.a.299.28 | yes | 88 | |
63.61 | odd | 6 | 945.2.u.a.89.17 | 88 | |||
105.89 | even | 6 | 945.2.bq.a.719.28 | 88 | |||
315.124 | odd | 6 | 945.2.u.a.89.28 | 88 | |||
315.299 | even | 6 | inner | 315.2.u.a.299.17 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.17 | ✓ | 88 | 1.1 | even | 1 | trivial | |
315.2.u.a.59.28 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.u.a.299.17 | yes | 88 | 315.299 | even | 6 | inner | |
315.2.u.a.299.28 | yes | 88 | 63.47 | even | 6 | inner | |
315.2.bq.a.164.17 | yes | 88 | 9.2 | odd | 6 | ||
315.2.bq.a.164.28 | yes | 88 | 45.29 | odd | 6 | ||
315.2.bq.a.194.17 | yes | 88 | 35.19 | odd | 6 | ||
315.2.bq.a.194.28 | yes | 88 | 7.5 | odd | 6 | ||
945.2.u.a.89.17 | 88 | 63.61 | odd | 6 | |||
945.2.u.a.89.28 | 88 | 315.124 | odd | 6 | |||
945.2.u.a.584.17 | 88 | 15.14 | odd | 2 | |||
945.2.u.a.584.28 | 88 | 3.2 | odd | 2 | |||
945.2.bq.a.719.17 | 88 | 21.5 | even | 6 | |||
945.2.bq.a.719.28 | 88 | 105.89 | even | 6 | |||
945.2.bq.a.899.17 | 88 | 45.34 | even | 6 | |||
945.2.bq.a.899.28 | 88 | 9.7 | even | 3 |