Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(69,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.69");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.g (of order \(5\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Root | \(-0.227943 - 0.701538i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 187.103 |
Dual form | 187.2.g.e.69.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965584 | + | 0.701538i | 0.682771 | + | 0.496062i | 0.874276 | − | 0.485430i | \(-0.161337\pi\) |
−0.191505 | + | 0.981492i | \(0.561337\pi\) | |||||||
\(3\) | 0.418926 | − | 1.28932i | 0.241867 | − | 0.744391i | −0.754269 | − | 0.656566i | \(-0.772008\pi\) |
0.996136 | − | 0.0878250i | \(-0.0279916\pi\) | |||||||
\(4\) | −0.177837 | − | 0.547326i | −0.0889186 | − | 0.273663i | ||||
\(5\) | −0.131180 | + | 0.0953077i | −0.0586654 | + | 0.0426229i | −0.616731 | − | 0.787174i | \(-0.711544\pi\) |
0.558066 | + | 0.829797i | \(0.311544\pi\) | |||||||
\(6\) | 1.30902 | − | 0.951057i | 0.534404 | − | 0.388267i | ||||
\(7\) | 0.0598032 | + | 0.184055i | 0.0226035 | + | 0.0695663i | 0.961722 | − | 0.274027i | \(-0.0883558\pi\) |
−0.939119 | + | 0.343593i | \(0.888356\pi\) | |||||||
\(8\) | 0.949894 | − | 2.92347i | 0.335838 | − | 1.03360i | ||||
\(9\) | 0.940197 | + | 0.683093i | 0.313399 | + | 0.227698i | ||||
\(10\) | −0.193527 | −0.0611986 | ||||||||
\(11\) | 3.04508 | + | 1.31433i | 0.918128 | + | 0.396285i | ||||
\(12\) | −0.780181 | −0.225219 | ||||||||
\(13\) | −3.25587 | − | 2.36553i | −0.903017 | − | 0.656080i | 0.0362221 | − | 0.999344i | \(-0.488468\pi\) |
−0.939239 | + | 0.343263i | \(0.888468\pi\) | |||||||
\(14\) | −0.0713767 | + | 0.219675i | −0.0190762 | + | 0.0587106i | ||||
\(15\) | 0.0679277 | + | 0.209060i | 0.0175389 | + | 0.0539791i | ||||
\(16\) | 2.03696 | − | 1.47994i | 0.509240 | − | 0.369985i | ||||
\(17\) | 0.809017 | − | 0.587785i | 0.196215 | − | 0.142559i | ||||
\(18\) | 0.428623 | + | 1.31917i | 0.101027 | + | 0.310931i | ||||
\(19\) | −1.80344 | + | 5.55041i | −0.413737 | + | 1.27335i | 0.499639 | + | 0.866234i | \(0.333466\pi\) |
−0.913376 | + | 0.407117i | \(0.866534\pi\) | |||||||
\(20\) | 0.0754931 | + | 0.0548489i | 0.0168808 | + | 0.0122646i | ||||
\(21\) | 0.262360 | 0.0572516 | ||||||||
\(22\) | 2.01823 | + | 3.40534i | 0.430289 | + | 0.726020i | ||||
\(23\) | −9.42270 | −1.96477 | −0.982384 | − | 0.186873i | \(-0.940165\pi\) | ||||
−0.982384 | + | 0.186873i | \(0.940165\pi\) | |||||||
\(24\) | −3.37136 | − | 2.44944i | −0.688177 | − | 0.499990i | ||||
\(25\) | −1.53696 | + | 4.73028i | −0.307392 | + | 0.946056i | ||||
\(26\) | −1.48431 | − | 4.56824i | −0.291097 | − | 0.895905i | ||||
\(27\) | 4.56489 | − | 3.31659i | 0.878514 | − | 0.638278i | ||||
\(28\) | 0.0901031 | − | 0.0654637i | 0.0170279 | − | 0.0123715i | ||||
\(29\) | 2.45589 | + | 7.55844i | 0.456047 | + | 1.40357i | 0.869902 | + | 0.493225i | \(0.164182\pi\) |
−0.413855 | + | 0.910343i | \(0.635818\pi\) | |||||||
\(30\) | −0.0810736 | + | 0.249519i | −0.0148019 | + | 0.0455557i | ||||
\(31\) | 0.530300 | + | 0.385285i | 0.0952447 | + | 0.0691993i | 0.634388 | − | 0.773014i | \(-0.281252\pi\) |
−0.539144 | + | 0.842214i | \(0.681252\pi\) | |||||||
\(32\) | −3.14275 | −0.555566 | ||||||||
\(33\) | 2.97026 | − | 3.37549i | 0.517056 | − | 0.587598i | ||||
\(34\) | 1.19353 | 0.204688 | ||||||||
\(35\) | −0.0253869 | − | 0.0184446i | −0.00429116 | − | 0.00311771i | ||||
\(36\) | 0.206673 | − | 0.636074i | 0.0344455 | − | 0.106012i | ||||
\(37\) | 0.983405 | + | 3.02661i | 0.161671 | + | 0.497572i | 0.998776 | − | 0.0494710i | \(-0.0157535\pi\) |
−0.837105 | + | 0.547043i | \(0.815754\pi\) | |||||||
\(38\) | −5.63519 | + | 4.09420i | −0.914148 | + | 0.664168i | ||||
\(39\) | −4.41391 | + | 3.20689i | −0.706790 | + | 0.513513i | ||||
\(40\) | 0.154023 | + | 0.474033i | 0.0243531 | + | 0.0749512i | ||||
\(41\) | −1.71982 | + | 5.29306i | −0.268591 | + | 0.826637i | 0.722254 | + | 0.691628i | \(0.243106\pi\) |
−0.990844 | + | 0.135009i | \(0.956894\pi\) | |||||||
\(42\) | 0.253330 | + | 0.184055i | 0.0390897 | + | 0.0284003i | ||||
\(43\) | 3.95431 | 0.603027 | 0.301514 | − | 0.953462i | \(-0.402508\pi\) | ||||
0.301514 | + | 0.953462i | \(0.402508\pi\) | |||||||
\(44\) | 0.177837 | − | 1.90039i | 0.0268100 | − | 0.286495i | ||||
\(45\) | −0.188439 | −0.0280908 | ||||||||
\(46\) | −9.09840 | − | 6.61038i | −1.34149 | − | 0.974647i | ||||
\(47\) | 3.86192 | − | 11.8858i | 0.563319 | − | 1.73372i | −0.109574 | − | 0.993979i | \(-0.534949\pi\) |
0.672893 | − | 0.739740i | \(-0.265051\pi\) | |||||||
\(48\) | −1.05478 | − | 3.24628i | −0.152245 | − | 0.468561i | ||||
\(49\) | 5.63282 | − | 4.09248i | 0.804688 | − | 0.584640i | ||||
\(50\) | −4.80253 | + | 3.48924i | −0.679181 | + | 0.493454i | ||||
\(51\) | −0.418926 | − | 1.28932i | −0.0586614 | − | 0.180541i | ||||
\(52\) | −0.715702 | + | 2.20271i | −0.0992501 | + | 0.305460i | ||||
\(53\) | −4.43675 | − | 3.22349i | −0.609434 | − | 0.442780i | 0.239781 | − | 0.970827i | \(-0.422924\pi\) |
−0.849215 | + | 0.528047i | \(0.822924\pi\) | |||||||
\(54\) | 6.73450 | 0.916449 | ||||||||
\(55\) | −0.524719 | + | 0.117807i | −0.0707531 | + | 0.0158851i | ||||
\(56\) | 0.594887 | 0.0794951 | ||||||||
\(57\) | 6.40076 | + | 4.65042i | 0.847801 | + | 0.615964i | ||||
\(58\) | −2.93117 | + | 9.02121i | −0.384881 | + | 1.18454i | ||||
\(59\) | −4.10047 | − | 12.6199i | −0.533835 | − | 1.64298i | −0.746152 | − | 0.665775i | \(-0.768101\pi\) |
0.212317 | − | 0.977201i | \(-0.431899\pi\) | |||||||
\(60\) | 0.102344 | − | 0.0743573i | 0.0132126 | − | 0.00959949i | ||||
\(61\) | −1.62706 | + | 1.18213i | −0.208324 | + | 0.151356i | −0.687055 | − | 0.726605i | \(-0.741097\pi\) |
0.478731 | + | 0.877962i | \(0.341097\pi\) | |||||||
\(62\) | 0.241757 | + | 0.744051i | 0.0307031 | + | 0.0944945i | ||||
\(63\) | −0.0695001 | + | 0.213899i | −0.00875619 | + | 0.0269488i | ||||
\(64\) | −7.10851 | − | 5.16464i | −0.888564 | − | 0.645580i | ||||
\(65\) | 0.652559 | 0.0809399 | ||||||||
\(66\) | 5.23607 | − | 1.17557i | 0.644515 | − | 0.144703i | ||||
\(67\) | −5.26745 | −0.643521 | −0.321761 | − | 0.946821i | \(-0.604275\pi\) | ||||
−0.321761 | + | 0.946821i | \(0.604275\pi\) | |||||||
\(68\) | −0.465584 | − | 0.338266i | −0.0564603 | − | 0.0410208i | ||||
\(69\) | −3.94742 | + | 12.1489i | −0.475213 | + | 1.46256i | ||||
\(70\) | −0.0115735 | − | 0.0356197i | −0.00138330 | − | 0.00425736i | ||||
\(71\) | 6.55987 | − | 4.76602i | 0.778513 | − | 0.565623i | −0.126019 | − | 0.992028i | \(-0.540220\pi\) |
0.904532 | + | 0.426405i | \(0.140220\pi\) | |||||||
\(72\) | 2.89009 | − | 2.09977i | 0.340600 | − | 0.247461i | ||||
\(73\) | 1.56482 | + | 4.81603i | 0.183149 | + | 0.563674i | 0.999912 | − | 0.0132995i | \(-0.00423350\pi\) |
−0.816763 | + | 0.576974i | \(0.804233\pi\) | |||||||
\(74\) | −1.17372 | + | 3.61234i | −0.136442 | + | 0.419926i | ||||
\(75\) | 5.45498 | + | 3.96328i | 0.629887 | + | 0.457640i | ||||
\(76\) | 3.35860 | 0.385258 | ||||||||
\(77\) | −0.0598032 | + | 0.639065i | −0.00681520 | + | 0.0728282i | ||||
\(78\) | −6.51175 | −0.737310 | ||||||||
\(79\) | 3.07246 | + | 2.23227i | 0.345678 | + | 0.251150i | 0.747054 | − | 0.664764i | \(-0.231468\pi\) |
−0.401375 | + | 0.915914i | \(0.631468\pi\) | |||||||
\(80\) | −0.126159 | + | 0.388276i | −0.0141050 | + | 0.0434106i | ||||
\(81\) | −1.28643 | − | 3.95922i | −0.142937 | − | 0.439914i | ||||
\(82\) | −5.37391 | + | 3.90437i | −0.593449 | + | 0.431166i | ||||
\(83\) | 4.62549 | − | 3.36062i | 0.507714 | − | 0.368876i | −0.304242 | − | 0.952595i | \(-0.598403\pi\) |
0.811956 | + | 0.583719i | \(0.198403\pi\) | |||||||
\(84\) | −0.0466573 | − | 0.143596i | −0.00509073 | − | 0.0156677i | ||||
\(85\) | −0.0501062 | + | 0.154211i | −0.00543479 | + | 0.0167265i | ||||
\(86\) | 3.81822 | + | 2.77410i | 0.411729 | + | 0.299139i | ||||
\(87\) | 10.7741 | 1.15511 | ||||||||
\(88\) | 6.73491 | − | 7.65375i | 0.717944 | − | 0.815892i | ||||
\(89\) | −7.62131 | −0.807858 | −0.403929 | − | 0.914790i | \(-0.632356\pi\) | ||||
−0.403929 | + | 0.914790i | \(0.632356\pi\) | |||||||
\(90\) | −0.181954 | − | 0.132197i | −0.0191796 | − | 0.0139348i | ||||
\(91\) | 0.240677 | − | 0.740727i | 0.0252298 | − | 0.0776493i | ||||
\(92\) | 1.67571 | + | 5.15729i | 0.174704 | + | 0.537685i | ||||
\(93\) | 0.718914 | − | 0.522322i | 0.0745479 | − | 0.0541622i | ||||
\(94\) | 12.0673 | − | 8.76743i | 1.24465 | − | 0.904291i | ||||
\(95\) | −0.292422 | − | 0.899983i | −0.0300019 | − | 0.0923363i | ||||
\(96\) | −1.31658 | + | 4.05202i | −0.134373 | + | 0.413558i | ||||
\(97\) | 8.18202 | + | 5.94459i | 0.830758 | + | 0.603581i | 0.919774 | − | 0.392449i | \(-0.128372\pi\) |
−0.0890155 | + | 0.996030i | \(0.528372\pi\) | |||||||
\(98\) | 8.30999 | 0.839436 | ||||||||
\(99\) | 1.96517 | + | 3.31580i | 0.197507 | + | 0.333251i | ||||
\(100\) | 2.86233 | 0.286233 | ||||||||
\(101\) | −8.66566 | − | 6.29597i | −0.862266 | − | 0.626473i | 0.0662347 | − | 0.997804i | \(-0.478901\pi\) |
−0.928500 | + | 0.371331i | \(0.878901\pi\) | |||||||
\(102\) | 0.500000 | − | 1.53884i | 0.0495074 | − | 0.152368i | ||||
\(103\) | −1.33283 | − | 4.10203i | −0.131328 | − | 0.404185i | 0.863673 | − | 0.504053i | \(-0.168158\pi\) |
−0.995001 | + | 0.0998672i | \(0.968158\pi\) | |||||||
\(104\) | −10.0083 | + | 7.27146i | −0.981395 | + | 0.713025i | ||||
\(105\) | −0.0344163 | + | 0.0250049i | −0.00335869 | + | 0.00244023i | ||||
\(106\) | −2.02265 | − | 6.22509i | −0.196458 | − | 0.604634i | ||||
\(107\) | −6.18293 | + | 19.0291i | −0.597726 | + | 1.83961i | −0.0570654 | + | 0.998370i | \(0.518174\pi\) |
−0.540661 | + | 0.841241i | \(0.681826\pi\) | |||||||
\(108\) | −2.62706 | − | 1.90867i | −0.252789 | − | 0.183662i | ||||
\(109\) | −2.95543 | −0.283079 | −0.141540 | − | 0.989933i | \(-0.545205\pi\) | ||||
−0.141540 | + | 0.989933i | \(0.545205\pi\) | |||||||
\(110\) | −0.589306 | − | 0.254358i | −0.0561882 | − | 0.0242521i | ||||
\(111\) | 4.31425 | 0.409491 | ||||||||
\(112\) | 0.394207 | + | 0.286408i | 0.0372491 | + | 0.0270630i | ||||
\(113\) | 3.08123 | − | 9.48305i | 0.289858 | − | 0.892091i | −0.695043 | − | 0.718969i | \(-0.744614\pi\) |
0.984900 | − | 0.173122i | \(-0.0553855\pi\) | |||||||
\(114\) | 2.91802 | + | 8.98075i | 0.273298 | + | 0.841124i | ||||
\(115\) | 1.23607 | − | 0.898056i | 0.115264 | − | 0.0837441i | ||||
\(116\) | 3.70019 | − | 2.68834i | 0.343554 | − | 0.249606i | ||||
\(117\) | −1.44529 | − | 4.44813i | −0.133617 | − | 0.411230i | ||||
\(118\) | 4.89402 | − | 15.0622i | 0.450531 | − | 1.38659i | ||||
\(119\) | 0.156567 | + | 0.113752i | 0.0143524 | + | 0.0104277i | ||||
\(120\) | 0.675706 | 0.0616832 | ||||||||
\(121\) | 7.54508 | + | 8.00448i | 0.685917 | + | 0.727680i | ||||
\(122\) | −2.40038 | −0.217320 | ||||||||
\(123\) | 6.10398 | + | 4.43480i | 0.550378 | + | 0.399873i | ||||
\(124\) | 0.116570 | − | 0.358765i | 0.0104683 | − | 0.0322181i | ||||
\(125\) | −0.499745 | − | 1.53806i | −0.0446986 | − | 0.137568i | ||||
\(126\) | −0.217166 | + | 0.157781i | −0.0193467 | + | 0.0140562i | ||||
\(127\) | 13.6400 | − | 9.91007i | 1.21036 | − | 0.879376i | 0.215095 | − | 0.976593i | \(-0.430994\pi\) |
0.995263 | + | 0.0972169i | \(0.0309940\pi\) | |||||||
\(128\) | −1.29835 | − | 3.99591i | −0.114759 | − | 0.353191i | ||||
\(129\) | 1.65657 | − | 5.09839i | 0.145853 | − | 0.448888i | ||||
\(130\) | 0.630100 | + | 0.457794i | 0.0552634 | + | 0.0401512i | ||||
\(131\) | −9.93575 | −0.868090 | −0.434045 | − | 0.900891i | \(-0.642914\pi\) | ||||
−0.434045 | + | 0.900891i | \(0.642914\pi\) | |||||||
\(132\) | −2.37572 | − | 1.02541i | −0.206780 | − | 0.0892508i | ||||
\(133\) | −1.12943 | −0.0979342 | ||||||||
\(134\) | −5.08616 | − | 3.69531i | −0.439377 | − | 0.319226i | ||||
\(135\) | −0.282725 | + | 0.870139i | −0.0243331 | + | 0.0748896i | ||||
\(136\) | −0.949894 | − | 2.92347i | −0.0814527 | − | 0.250686i | ||||
\(137\) | −8.00673 | + | 5.81723i | −0.684061 | + | 0.496999i | −0.874702 | − | 0.484660i | \(-0.838943\pi\) |
0.190642 | + | 0.981660i | \(0.438943\pi\) | |||||||
\(138\) | −12.3345 | + | 8.96152i | −1.04998 | + | 0.762855i | ||||
\(139\) | −3.59579 | − | 11.0667i | −0.304991 | − | 0.938666i | −0.979681 | − | 0.200564i | \(-0.935722\pi\) |
0.674689 | − | 0.738102i | \(-0.264278\pi\) | |||||||
\(140\) | −0.00558051 | + | 0.0171750i | −0.000471639 | + | 0.00145156i | ||||
\(141\) | −13.7067 | − | 9.95853i | −1.15432 | − | 0.838659i | ||||
\(142\) | 9.67765 | 0.812130 | ||||||||
\(143\) | −6.80533 | − | 11.4825i | −0.569090 | − | 0.960217i | ||||
\(144\) | 2.92608 | 0.243840 | ||||||||
\(145\) | −1.04254 | − | 0.757450i | −0.0865783 | − | 0.0629028i | ||||
\(146\) | −1.86766 | + | 5.74807i | −0.154569 | + | 0.475713i | ||||
\(147\) | −2.91679 | − | 8.97697i | −0.240573 | − | 0.740408i | ||||
\(148\) | 1.48166 | − | 1.07649i | 0.121792 | − | 0.0884867i | ||||
\(149\) | 3.29800 | − | 2.39614i | 0.270183 | − | 0.196299i | −0.444441 | − | 0.895808i | \(-0.646598\pi\) |
0.714624 | + | 0.699509i | \(0.246598\pi\) | |||||||
\(150\) | 2.48685 | + | 7.65375i | 0.203051 | + | 0.624926i | ||||
\(151\) | −1.63956 | + | 5.04604i | −0.133425 | + | 0.410641i | −0.995342 | − | 0.0964092i | \(-0.969264\pi\) |
0.861916 | + | 0.507051i | \(0.169264\pi\) | |||||||
\(152\) | 14.5134 | + | 10.5446i | 1.17719 | + | 0.855279i | ||||
\(153\) | 1.16215 | 0.0939540 | ||||||||
\(154\) | −0.506073 | + | 0.575116i | −0.0407805 | + | 0.0463442i | ||||
\(155\) | −0.106285 | −0.00853704 | ||||||||
\(156\) | 2.54017 | + | 1.84554i | 0.203377 | + | 0.147762i | ||||
\(157\) | −5.93518 | + | 18.2666i | −0.473679 | + | 1.45783i | 0.374053 | + | 0.927407i | \(0.377968\pi\) |
−0.847732 | + | 0.530425i | \(0.822032\pi\) | |||||||
\(158\) | 1.40069 | + | 4.31089i | 0.111433 | + | 0.342956i | ||||
\(159\) | −6.01479 | + | 4.37000i | −0.477003 | + | 0.346563i | ||||
\(160\) | 0.412266 | − | 0.299529i | 0.0325925 | − | 0.0236798i | ||||
\(161\) | −0.563507 | − | 1.73430i | −0.0444106 | − | 0.136682i | ||||
\(162\) | 1.53539 | − | 4.72544i | 0.120631 | − | 0.371266i | ||||
\(163\) | 0.317142 | + | 0.230417i | 0.0248404 | + | 0.0180476i | 0.600136 | − | 0.799898i | \(-0.295113\pi\) |
−0.575296 | + | 0.817945i | \(0.695113\pi\) | |||||||
\(164\) | 3.20288 | 0.250103 | ||||||||
\(165\) | −0.0679277 | + | 0.725885i | −0.00528817 | + | 0.0565101i | ||||
\(166\) | 6.82390 | 0.529637 | ||||||||
\(167\) | −15.1024 | − | 10.9725i | −1.16866 | − | 0.849081i | −0.177812 | − | 0.984065i | \(-0.556902\pi\) |
−0.990848 | + | 0.134984i | \(0.956902\pi\) | |||||||
\(168\) | 0.249214 | − | 0.767001i | 0.0192273 | − | 0.0591754i | ||||
\(169\) | 0.987759 | + | 3.04001i | 0.0759815 | + | 0.233847i | ||||
\(170\) | −0.156567 | + | 0.113752i | −0.0120081 | + | 0.00872441i | ||||
\(171\) | −5.48703 | + | 3.98656i | −0.419604 | + | 0.304860i | ||||
\(172\) | −0.703224 | − | 2.16430i | −0.0536203 | − | 0.165026i | ||||
\(173\) | 2.12484 | − | 6.53959i | 0.161549 | − | 0.497196i | −0.837217 | − | 0.546871i | \(-0.815819\pi\) |
0.998765 | + | 0.0496755i | \(0.0158187\pi\) | |||||||
\(174\) | 10.4033 | + | 7.55844i | 0.788672 | + | 0.573004i | ||||
\(175\) | −0.962547 | −0.0727617 | ||||||||
\(176\) | 8.14784 | − | 1.82930i | 0.614167 | − | 0.137889i | ||||
\(177\) | −17.9890 | −1.35213 | ||||||||
\(178\) | −7.35902 | − | 5.34664i | −0.551581 | − | 0.400747i | ||||
\(179\) | −0.833736 | + | 2.56598i | −0.0623164 | + | 0.191790i | −0.977368 | − | 0.211547i | \(-0.932150\pi\) |
0.915051 | + | 0.403337i | \(0.132150\pi\) | |||||||
\(180\) | 0.0335114 | + | 0.103138i | 0.00249780 | + | 0.00768742i | ||||
\(181\) | −5.57006 | + | 4.04688i | −0.414019 | + | 0.300803i | −0.775227 | − | 0.631683i | \(-0.782365\pi\) |
0.361208 | + | 0.932485i | \(0.382365\pi\) | |||||||
\(182\) | 0.752041 | − | 0.546390i | 0.0557450 | − | 0.0405011i | ||||
\(183\) | 0.842528 | + | 2.59304i | 0.0622815 | + | 0.191683i | ||||
\(184\) | −8.95056 | + | 27.5470i | −0.659844 | + | 2.03079i | ||||
\(185\) | −0.417462 | − | 0.303304i | −0.0306924 | − | 0.0222994i | ||||
\(186\) | 1.06060 | 0.0777670 | ||||||||
\(187\) | 3.23607 | − | 0.726543i | 0.236645 | − | 0.0531301i | ||||
\(188\) | −7.19219 | −0.524545 | ||||||||
\(189\) | 0.883430 | + | 0.641850i | 0.0642601 | + | 0.0466877i | ||||
\(190\) | 0.349014 | − | 1.07415i | 0.0253201 | − | 0.0779273i | ||||
\(191\) | −4.30145 | − | 13.2385i | −0.311242 | − | 0.957905i | −0.977274 | − | 0.211981i | \(-0.932008\pi\) |
0.666032 | − | 0.745924i | \(-0.267992\pi\) | |||||||
\(192\) | −9.63683 | + | 7.00156i | −0.695478 | + | 0.505294i | ||||
\(193\) | −9.43360 | + | 6.85391i | −0.679046 | + | 0.493356i | −0.873041 | − | 0.487647i | \(-0.837855\pi\) |
0.193995 | + | 0.981002i | \(0.437855\pi\) | |||||||
\(194\) | 3.73007 | + | 11.4800i | 0.267804 | + | 0.824215i | ||||
\(195\) | 0.273374 | − | 0.841359i | 0.0195767 | − | 0.0602509i | ||||
\(196\) | −3.24165 | − | 2.35520i | −0.231546 | − | 0.168228i | ||||
\(197\) | 1.52179 | 0.108423 | 0.0542116 | − | 0.998529i | \(-0.482735\pi\) | ||||
0.0542116 | + | 0.998529i | \(0.482735\pi\) | |||||||
\(198\) | −0.428623 | + | 4.58033i | −0.0304609 | + | 0.325510i | ||||
\(199\) | 10.2278 | 0.725032 | 0.362516 | − | 0.931978i | \(-0.381918\pi\) | ||||
0.362516 | + | 0.931978i | \(0.381918\pi\) | |||||||
\(200\) | 12.3689 | + | 8.98652i | 0.874612 | + | 0.635443i | ||||
\(201\) | −2.20667 | + | 6.79144i | −0.155647 | + | 0.479031i | ||||
\(202\) | −3.95056 | − | 12.1586i | −0.277961 | − | 0.855475i | ||||
\(203\) | −1.24430 | + | 0.904037i | −0.0873328 | + | 0.0634510i | ||||
\(204\) | −0.631180 | + | 0.458579i | −0.0441914 | + | 0.0321070i | ||||
\(205\) | −0.278864 | − | 0.858255i | −0.0194767 | − | 0.0599431i | ||||
\(206\) | 1.59077 | − | 4.89589i | 0.110834 | − | 0.341113i | ||||
\(207\) | −8.85919 | − | 6.43658i | −0.615756 | − | 0.447373i | ||||
\(208\) | −10.1329 | −0.702592 | ||||||||
\(209\) | −12.7867 | + | 14.5312i | −0.884473 | + | 1.00514i | ||||
\(210\) | −0.0507737 | −0.00350372 | ||||||||
\(211\) | 16.3639 | + | 11.8891i | 1.12654 | + | 0.818477i | 0.985187 | − | 0.171483i | \(-0.0548558\pi\) |
0.141350 | + | 0.989960i | \(0.454856\pi\) | |||||||
\(212\) | −0.975281 | + | 3.00161i | −0.0669825 | + | 0.206151i | ||||
\(213\) | −3.39684 | − | 10.4544i | −0.232748 | − | 0.716324i | ||||
\(214\) | −19.3198 | + | 14.0366i | −1.32067 | + | 0.959524i | ||||
\(215\) | −0.518726 | + | 0.376877i | −0.0353768 | + | 0.0257028i | ||||
\(216\) | −5.35979 | − | 16.4957i | −0.364688 | − | 1.12239i | ||||
\(217\) | −0.0392002 | + | 0.120646i | −0.00266108 | + | 0.00818997i | ||||
\(218\) | −2.85372 | − | 2.07335i | −0.193278 | − | 0.140425i | ||||
\(219\) | 6.86497 | 0.463892 | ||||||||
\(220\) | 0.157793 | + | 0.266242i | 0.0106384 | + | 0.0179501i | ||||
\(221\) | −4.02448 | −0.270716 | ||||||||
\(222\) | 4.16577 | + | 3.02661i | 0.279588 | + | 0.203133i | ||||
\(223\) | 4.90619 | − | 15.0997i | 0.328543 | − | 1.01115i | −0.641273 | − | 0.767313i | \(-0.721593\pi\) |
0.969816 | − | 0.243838i | \(-0.0784067\pi\) | |||||||
\(224\) | −0.187947 | − | 0.578440i | −0.0125577 | − | 0.0386487i | ||||
\(225\) | −4.67626 | + | 3.39751i | −0.311751 | + | 0.226500i | ||||
\(226\) | 9.62791 | − | 6.99508i | 0.640439 | − | 0.465306i | ||||
\(227\) | −2.25465 | − | 6.93909i | −0.149646 | − | 0.460564i | 0.847933 | − | 0.530103i | \(-0.177847\pi\) |
−0.997579 | + | 0.0695398i | \(0.977847\pi\) | |||||||
\(228\) | 1.40701 | − | 4.33032i | 0.0931813 | − | 0.286783i | ||||
\(229\) | 7.61047 | + | 5.52933i | 0.502914 | + | 0.365388i | 0.810129 | − | 0.586252i | \(-0.199397\pi\) |
−0.307215 | + | 0.951640i | \(0.599397\pi\) | |||||||
\(230\) | 1.82355 | 0.120241 | ||||||||
\(231\) | 0.798908 | + | 0.344827i | 0.0525643 | + | 0.0226879i | ||||
\(232\) | 24.4297 | 1.60389 | ||||||||
\(233\) | 9.55830 | + | 6.94451i | 0.626185 | + | 0.454950i | 0.855076 | − | 0.518502i | \(-0.173510\pi\) |
−0.228892 | + | 0.973452i | \(0.573510\pi\) | |||||||
\(234\) | 1.72499 | − | 5.30896i | 0.112766 | − | 0.347058i | ||||
\(235\) | 0.626200 | + | 1.92725i | 0.0408488 | + | 0.125720i | ||||
\(236\) | −6.17801 | + | 4.48859i | −0.402154 | + | 0.292182i | ||||
\(237\) | 4.16525 | − | 3.02623i | 0.270562 | − | 0.196575i | ||||
\(238\) | 0.0713767 | + | 0.219675i | 0.00462666 | + | 0.0142394i | ||||
\(239\) | 4.24389 | − | 13.0613i | 0.274514 | − | 0.844868i | −0.714833 | − | 0.699295i | \(-0.753497\pi\) |
0.989347 | − | 0.145573i | \(-0.0465026\pi\) | |||||||
\(240\) | 0.447762 | + | 0.325318i | 0.0289029 | + | 0.0209992i | ||||
\(241\) | −12.8523 | −0.827889 | −0.413944 | − | 0.910302i | \(-0.635849\pi\) | ||||
−0.413944 | + | 0.910302i | \(0.635849\pi\) | |||||||
\(242\) | 1.66997 | + | 13.0222i | 0.107350 | + | 0.837096i | ||||
\(243\) | 11.2839 | 0.723863 | ||||||||
\(244\) | 0.936364 | + | 0.680308i | 0.0599445 | + | 0.0435523i | ||||
\(245\) | −0.348867 | + | 1.07370i | −0.0222883 | + | 0.0685963i | ||||
\(246\) | 2.78273 | + | 8.56435i | 0.177420 | + | 0.546043i | ||||
\(247\) | 19.0014 | − | 13.8053i | 1.20903 | − | 0.878413i | ||||
\(248\) | 1.63010 | − | 1.18434i | 0.103511 | − | 0.0752055i | ||||
\(249\) | −2.39518 | − | 7.37160i | −0.151788 | − | 0.467156i | ||||
\(250\) | 0.596459 | − | 1.83571i | 0.0377234 | − | 0.116101i | ||||
\(251\) | −2.63743 | − | 1.91620i | −0.166473 | − | 0.120950i | 0.501429 | − | 0.865199i | \(-0.332808\pi\) |
−0.667902 | + | 0.744249i | \(0.732808\pi\) | |||||||
\(252\) | 0.129432 | 0.00815348 | ||||||||
\(253\) | −28.6929 | − | 12.3845i | −1.80391 | − | 0.778608i | ||||
\(254\) | 20.1229 | 1.26262 | ||||||||
\(255\) | 0.177837 | + | 0.129206i | 0.0111366 | + | 0.00809121i | ||||
\(256\) | −3.88081 | + | 11.9439i | −0.242550 | + | 0.746493i | ||||
\(257\) | 0.374589 | + | 1.15287i | 0.0233662 | + | 0.0719138i | 0.962060 | − | 0.272839i | \(-0.0879627\pi\) |
−0.938693 | + | 0.344753i | \(0.887963\pi\) | |||||||
\(258\) | 5.17626 | − | 3.76078i | 0.322260 | − | 0.234136i | ||||
\(259\) | −0.498253 | + | 0.362002i | −0.0309599 | + | 0.0224937i | ||||
\(260\) | −0.116049 | − | 0.357163i | −0.00719706 | − | 0.0221503i | ||||
\(261\) | −2.85410 | + | 8.78402i | −0.176664 | + | 0.543717i | ||||
\(262\) | −9.59379 | − | 6.97030i | −0.592707 | − | 0.430627i | ||||
\(263\) | 16.9095 | 1.04268 | 0.521342 | − | 0.853348i | \(-0.325432\pi\) | ||||
0.521342 | + | 0.853348i | \(0.325432\pi\) | |||||||
\(264\) | −7.04672 | − | 11.8898i | −0.433696 | − | 0.731768i | ||||
\(265\) | 0.889235 | 0.0546253 | ||||||||
\(266\) | −1.09056 | − | 0.792339i | −0.0668666 | − | 0.0485814i | ||||
\(267\) | −3.19277 | + | 9.82633i | −0.195394 | + | 0.601362i | ||||
\(268\) | 0.936748 | + | 2.88301i | 0.0572210 | + | 0.176108i | ||||
\(269\) | 19.1430 | − | 13.9082i | 1.16717 | − | 0.847998i | 0.176502 | − | 0.984300i | \(-0.443522\pi\) |
0.990667 | + | 0.136302i | \(0.0435219\pi\) | |||||||
\(270\) | −0.883430 | + | 0.641850i | −0.0537638 | + | 0.0390617i | ||||
\(271\) | 3.61845 | + | 11.1364i | 0.219805 | + | 0.676490i | 0.998777 | + | 0.0494321i | \(0.0157411\pi\) |
−0.778973 | + | 0.627058i | \(0.784259\pi\) | |||||||
\(272\) | 0.778050 | − | 2.39459i | 0.0471762 | − | 0.145193i | ||||
\(273\) | −0.854210 | − | 0.620620i | −0.0516992 | − | 0.0375616i | ||||
\(274\) | −11.8122 | −0.713599 | ||||||||
\(275\) | −10.8973 | + | 12.3840i | −0.657133 | + | 0.746785i | ||||
\(276\) | 7.35141 | 0.442503 | ||||||||
\(277\) | −9.96048 | − | 7.23671i | −0.598467 | − | 0.434812i | 0.246867 | − | 0.969049i | \(-0.420599\pi\) |
−0.845335 | + | 0.534237i | \(0.820599\pi\) | |||||||
\(278\) | 4.29167 | − | 13.2084i | 0.257398 | − | 0.792188i | ||||
\(279\) | 0.235401 | + | 0.724488i | 0.0140931 | + | 0.0433740i | ||||
\(280\) | −0.0780372 | + | 0.0566973i | −0.00466361 | + | 0.00338831i | ||||
\(281\) | 19.7509 | − | 14.3499i | 1.17824 | − | 0.856043i | 0.186270 | − | 0.982499i | \(-0.440360\pi\) |
0.991972 | + | 0.126455i | \(0.0403599\pi\) | |||||||
\(282\) | −6.24872 | − | 19.2316i | −0.372106 | − | 1.14522i | ||||
\(283\) | 9.66561 | − | 29.7477i | 0.574561 | − | 1.76832i | −0.0631079 | − | 0.998007i | \(-0.520101\pi\) |
0.637669 | − | 0.770311i | \(-0.279899\pi\) | |||||||
\(284\) | −3.77516 | − | 2.74281i | −0.224015 | − | 0.162756i | ||||
\(285\) | −1.28287 | −0.0759908 | ||||||||
\(286\) | 1.48431 | − | 15.8615i | 0.0877691 | − | 0.937912i | ||||
\(287\) | −1.07707 | −0.0635772 | ||||||||
\(288\) | −2.95481 | − | 2.14679i | −0.174114 | − | 0.126501i | ||||
\(289\) | 0.309017 | − | 0.951057i | 0.0181775 | − | 0.0559445i | ||||
\(290\) | −0.475281 | − | 1.46276i | −0.0279094 | − | 0.0858964i | ||||
\(291\) | 11.0922 | − | 8.05892i | 0.650234 | − | 0.472422i | ||||
\(292\) | 2.35766 | − | 1.71294i | 0.137972 | − | 0.100242i | ||||
\(293\) | 5.27501 | + | 16.2348i | 0.308170 | + | 0.948448i | 0.978475 | + | 0.206363i | \(0.0661629\pi\) |
−0.670306 | + | 0.742085i | \(0.733837\pi\) | |||||||
\(294\) | 3.48127 | − | 10.7143i | 0.203032 | − | 0.624868i | ||||
\(295\) | 1.74068 | + | 1.26468i | 0.101346 | + | 0.0736323i | ||||
\(296\) | 9.78234 | 0.568587 | ||||||||
\(297\) | 18.2596 | − | 4.09953i | 1.05953 | − | 0.237879i | ||||
\(298\) | 4.86548 | 0.281850 | ||||||||
\(299\) | 30.6791 | + | 22.2897i | 1.77422 | + | 1.28905i | ||||
\(300\) | 1.19911 | − | 3.69047i | 0.0692305 | − | 0.213070i | ||||
\(301\) | 0.236480 | + | 0.727812i | 0.0136305 | + | 0.0419504i | ||||
\(302\) | −5.12312 | + | 3.72217i | −0.294803 | + | 0.214187i | ||||
\(303\) | −11.7478 | + | 8.53529i | −0.674894 | + | 0.490340i | ||||
\(304\) | 4.54073 | + | 13.9749i | 0.260429 | + | 0.801517i | ||||
\(305\) | 0.100772 | − | 0.310143i | 0.00577017 | − | 0.0177588i | ||||
\(306\) | 1.12215 | + | 0.815290i | 0.0641491 | + | 0.0466070i | ||||
\(307\) | −11.4475 | −0.653343 | −0.326672 | − | 0.945138i | \(-0.605927\pi\) | ||||
−0.326672 | + | 0.945138i | \(0.605927\pi\) | |||||||
\(308\) | 0.360412 | − | 0.0809176i | 0.0205364 | − | 0.00461071i | ||||
\(309\) | −5.84720 | −0.332636 | ||||||||
\(310\) | −0.102627 | − | 0.0745632i | −0.00582884 | − | 0.00423490i | ||||
\(311\) | 1.45087 | − | 4.46530i | 0.0822710 | − | 0.253204i | −0.901457 | − | 0.432869i | \(-0.857501\pi\) |
0.983728 | + | 0.179665i | \(0.0575013\pi\) | |||||||
\(312\) | 5.18251 | + | 15.9501i | 0.293402 | + | 0.902999i | ||||
\(313\) | 22.8655 | − | 16.6128i | 1.29243 | − | 0.939009i | 0.292583 | − | 0.956240i | \(-0.405485\pi\) |
0.999852 | + | 0.0172312i | \(0.00548515\pi\) | |||||||
\(314\) | −18.5456 | + | 13.4742i | −1.04659 | + | 0.760392i | ||||
\(315\) | −0.0112692 | − | 0.0346832i | −0.000634950 | − | 0.00195417i | ||||
\(316\) | 0.675384 | − | 2.07862i | 0.0379933 | − | 0.116931i | ||||
\(317\) | −4.01371 | − | 2.91613i | −0.225432 | − | 0.163786i | 0.469336 | − | 0.883019i | \(-0.344493\pi\) |
−0.694769 | + | 0.719233i | \(0.744493\pi\) | |||||||
\(318\) | −8.87350 | −0.497601 | ||||||||
\(319\) | −2.45589 | + | 26.2439i | −0.137503 | + | 1.46938i | ||||
\(320\) | 1.42472 | 0.0796445 | ||||||||
\(321\) | 21.9444 | + | 15.9436i | 1.22482 | + | 0.889884i | ||||
\(322\) | 0.672561 | − | 2.06993i | 0.0374804 | − | 0.115353i | ||||
\(323\) | 1.80344 | + | 5.55041i | 0.100346 | + | 0.308833i | ||||
\(324\) | −1.93821 | + | 1.40819i | −0.107678 | + | 0.0782330i | ||||
\(325\) | 16.1938 | − | 11.7655i | 0.898269 | − | 0.652630i | ||||
\(326\) | 0.144581 | + | 0.444974i | 0.00800758 | + | 0.0246448i | ||||
\(327\) | −1.23811 | + | 3.81051i | −0.0684676 | + | 0.210722i | ||||
\(328\) | 13.8405 | + | 10.0557i | 0.764212 | + | 0.555232i | ||||
\(329\) | 2.41859 | 0.133341 | ||||||||
\(330\) | −0.574826 | + | 0.653249i | −0.0316431 | + | 0.0359602i | ||||
\(331\) | −30.4124 | −1.67161 | −0.835807 | − | 0.549023i | \(-0.815000\pi\) | ||||
−0.835807 | + | 0.549023i | \(0.815000\pi\) | |||||||
\(332\) | −2.66194 | − | 1.93401i | −0.146093 | − | 0.106143i | ||||
\(333\) | −1.14286 | + | 3.51737i | −0.0626284 | + | 0.192750i | ||||
\(334\) | −6.88499 | − | 21.1898i | −0.376730 | − | 1.15946i | ||||
\(335\) | 0.690983 | − | 0.502029i | 0.0377524 | − | 0.0274287i | ||||
\(336\) | 0.534416 | − | 0.388276i | 0.0291548 | − | 0.0211822i | ||||
\(337\) | 9.03897 | + | 27.8191i | 0.492384 | + | 1.51540i | 0.820994 | + | 0.570937i | \(0.193420\pi\) |
−0.328610 | + | 0.944466i | \(0.606580\pi\) | |||||||
\(338\) | −1.17892 | + | 3.62833i | −0.0641246 | + | 0.197355i | ||||
\(339\) | −10.9359 | − | 7.94540i | −0.593957 | − | 0.431535i | ||||
\(340\) | 0.0933146 | 0.00506069 | ||||||||
\(341\) | 1.10842 | + | 1.87021i | 0.0600241 | + | 0.101278i | ||||
\(342\) | −8.09491 | −0.437722 | ||||||||
\(343\) | 2.18607 | + | 1.58827i | 0.118037 | + | 0.0857587i | ||||
\(344\) | 3.75618 | − | 11.5603i | 0.202520 | − | 0.623291i | ||||
\(345\) | −0.640063 | − | 1.96991i | −0.0344598 | − | 0.106056i | ||||
\(346\) | 6.63948 | − | 4.82386i | 0.356941 | − | 0.259333i | ||||
\(347\) | −12.0906 | + | 8.78434i | −0.649057 | + | 0.471568i | −0.862950 | − | 0.505289i | \(-0.831386\pi\) |
0.213893 | + | 0.976857i | \(0.431386\pi\) | |||||||
\(348\) | −1.91604 | − | 5.89695i | −0.102710 | − | 0.316110i | ||||
\(349\) | −8.45100 | + | 26.0095i | −0.452372 | + | 1.39226i | 0.421822 | + | 0.906679i | \(0.361391\pi\) |
−0.874193 | + | 0.485578i | \(0.838609\pi\) | |||||||
\(350\) | −0.929420 | − | 0.675263i | −0.0496796 | − | 0.0360943i | ||||
\(351\) | −22.7082 | −1.21207 | ||||||||
\(352\) | −9.56995 | − | 4.13061i | −0.510080 | − | 0.220162i | ||||
\(353\) | 22.6070 | 1.20325 | 0.601625 | − | 0.798779i | \(-0.294520\pi\) | ||||
0.601625 | + | 0.798779i | \(0.294520\pi\) | |||||||
\(354\) | −17.3699 | − | 12.6199i | −0.923198 | − | 0.670742i | ||||
\(355\) | −0.406284 | + | 1.25041i | −0.0215633 | + | 0.0663650i | ||||
\(356\) | 1.35535 | + | 4.17135i | 0.0718335 | + | 0.221081i | ||||
\(357\) | 0.212253 | − | 0.154211i | 0.0112336 | − | 0.00816172i | ||||
\(358\) | −2.60517 | + | 1.89277i | −0.137688 | + | 0.100036i | ||||
\(359\) | 6.91693 | + | 21.2881i | 0.365062 | + | 1.12354i | 0.949943 | + | 0.312425i | \(0.101141\pi\) |
−0.584881 | + | 0.811119i | \(0.698859\pi\) | |||||||
\(360\) | −0.178997 | + | 0.550896i | −0.00943397 | + | 0.0290348i | ||||
\(361\) | −12.1833 | − | 8.85169i | −0.641227 | − | 0.465879i | ||||
\(362\) | −8.21740 | −0.431897 | ||||||||
\(363\) | 13.4812 | − | 6.37476i | 0.707579 | − | 0.334588i | ||||
\(364\) | −0.448221 | −0.0234931 | ||||||||
\(365\) | −0.664279 | − | 0.482627i | −0.0347699 | − | 0.0252618i | ||||
\(366\) | −1.00558 | + | 3.09486i | −0.0525625 | + | 0.161771i | ||||
\(367\) | 6.03505 | + | 18.5740i | 0.315027 | + | 0.969554i | 0.975743 | + | 0.218918i | \(0.0702528\pi\) |
−0.660716 | + | 0.750636i | \(0.729747\pi\) | |||||||
\(368\) | −19.1937 | + | 13.9450i | −1.00054 | + | 0.726934i | ||||
\(369\) | −5.23262 | + | 3.80172i | −0.272399 | + | 0.197910i | ||||
\(370\) | −0.190316 | − | 0.585731i | −0.00989403 | − | 0.0304507i | ||||
\(371\) | 0.327968 | − | 1.00938i | 0.0170272 | − | 0.0524045i | ||||
\(372\) | −0.413730 | − | 0.300592i | −0.0214509 | − | 0.0155850i | ||||
\(373\) | −22.9224 | −1.18688 | −0.593439 | − | 0.804879i | \(-0.702230\pi\) | ||||
−0.593439 | + | 0.804879i | \(0.702230\pi\) | |||||||
\(374\) | 3.63439 | + | 1.56869i | 0.187930 | + | 0.0811148i | ||||
\(375\) | −2.19241 | −0.113215 | ||||||||
\(376\) | −31.0793 | − | 22.5804i | −1.60279 | − | 1.16450i | ||||
\(377\) | 9.88367 | − | 30.4188i | 0.509035 | − | 1.56665i | ||||
\(378\) | 0.402744 | + | 1.23952i | 0.0207149 | + | 0.0637540i | ||||
\(379\) | −3.90257 | + | 2.83538i | −0.200462 | + | 0.145644i | −0.683488 | − | 0.729962i | \(-0.739538\pi\) |
0.483026 | + | 0.875606i | \(0.339538\pi\) | |||||||
\(380\) | −0.440581 | + | 0.320101i | −0.0226013 | + | 0.0164208i | ||||
\(381\) | −7.06311 | − | 21.7380i | −0.361854 | − | 1.11367i | ||||
\(382\) | 5.13390 | − | 15.8005i | 0.262673 | − | 0.808425i | ||||
\(383\) | −8.66176 | − | 6.29314i | −0.442595 | − | 0.321564i | 0.344070 | − | 0.938944i | \(-0.388194\pi\) |
−0.786665 | + | 0.617380i | \(0.788194\pi\) | |||||||
\(384\) | −5.69592 | −0.290669 | ||||||||
\(385\) | −0.0530628 | − | 0.0895321i | −0.00270433 | − | 0.00456298i | ||||
\(386\) | −13.9172 | −0.708367 | ||||||||
\(387\) | 3.71783 | + | 2.70116i | 0.188988 | + | 0.137308i | ||||
\(388\) | 1.79856 | − | 5.53540i | 0.0913081 | − | 0.281018i | ||||
\(389\) | 8.73254 | + | 26.8760i | 0.442757 | + | 1.36267i | 0.884925 | + | 0.465734i | \(0.154210\pi\) |
−0.442167 | + | 0.896933i | \(0.645790\pi\) | |||||||
\(390\) | 0.854210 | − | 0.620620i | 0.0432546 | − | 0.0314263i | ||||
\(391\) | −7.62312 | + | 5.53852i | −0.385518 | + | 0.280095i | ||||
\(392\) | −6.61368 | − | 20.3548i | −0.334041 | − | 1.02807i | ||||
\(393\) | −4.16235 | + | 12.8104i | −0.209963 | + | 0.646198i | ||||
\(394\) | 1.46942 | + | 1.06759i | 0.0740281 | + | 0.0537846i | ||||
\(395\) | −0.615797 | −0.0309841 | ||||||||
\(396\) | 1.46535 | − | 1.66526i | 0.0736364 | − | 0.0836826i | ||||
\(397\) | −24.3949 | −1.22435 | −0.612174 | − | 0.790723i | \(-0.709705\pi\) | ||||
−0.612174 | + | 0.790723i | \(0.709705\pi\) | |||||||
\(398\) | 9.87583 | + | 7.17521i | 0.495031 | + | 0.359661i | ||||
\(399\) | −0.473149 | + | 1.45620i | −0.0236871 | + | 0.0729013i | ||||
\(400\) | 3.86979 | + | 11.9100i | 0.193490 | + | 0.595500i | ||||
\(401\) | 7.17889 | − | 5.21577i | 0.358497 | − | 0.260463i | −0.393928 | − | 0.919141i | \(-0.628884\pi\) |
0.752425 | + | 0.658678i | \(0.228884\pi\) | |||||||
\(402\) | −6.89518 | + | 5.00964i | −0.343900 | + | 0.249858i | ||||
\(403\) | −0.815185 | − | 2.50888i | −0.0406073 | − | 0.124976i | ||||
\(404\) | −1.90488 | + | 5.86260i | −0.0947711 | + | 0.291675i | ||||
\(405\) | 0.546098 | + | 0.396763i | 0.0271358 | + | 0.0197153i | ||||
\(406\) | −1.83569 | −0.0911039 | ||||||||
\(407\) | −0.983405 | + | 10.5088i | −0.0487456 | + | 0.520902i | ||||
\(408\) | −4.16724 | −0.206309 | ||||||||
\(409\) | 11.3921 | + | 8.27688i | 0.563305 | + | 0.409265i | 0.832667 | − | 0.553774i | \(-0.186813\pi\) |
−0.269362 | + | 0.963039i | \(0.586813\pi\) | |||||||
\(410\) | 0.332832 | − | 1.02435i | 0.0164374 | − | 0.0505890i | ||||
\(411\) | 4.14606 | + | 12.7602i | 0.204510 | + | 0.629417i | ||||
\(412\) | −2.00812 | + | 1.45899i | −0.0989332 | + | 0.0718792i | ||||
\(413\) | 2.07754 | − | 1.50942i | 0.102229 | − | 0.0742739i | ||||
\(414\) | −4.03879 | − | 12.4301i | −0.198496 | − | 0.610907i | ||||
\(415\) | −0.286479 | + | 0.881690i | −0.0140627 | + | 0.0432805i | ||||
\(416\) | 10.2324 | + | 7.43428i | 0.501685 | + | 0.364496i | ||||
\(417\) | −15.7749 | −0.772502 | ||||||||
\(418\) | −22.5408 | + | 5.06071i | −1.10250 | + | 0.247528i | ||||
\(419\) | 15.2681 | 0.745895 | 0.372948 | − | 0.927852i | \(-0.378347\pi\) | ||||
0.372948 | + | 0.927852i | \(0.378347\pi\) | |||||||
\(420\) | 0.0198063 | + | 0.0143902i | 0.000966451 | + | 0.000702168i | ||||
\(421\) | −9.34298 | + | 28.7547i | −0.455349 | + | 1.40142i | 0.415376 | + | 0.909650i | \(0.363650\pi\) |
−0.870725 | + | 0.491770i | \(0.836350\pi\) | |||||||
\(422\) | 7.46008 | + | 22.9598i | 0.363151 | + | 1.11766i | ||||
\(423\) | 11.7501 | − | 8.53692i | 0.571307 | − | 0.415079i | ||||
\(424\) | −13.6382 | + | 9.90874i | −0.662330 | + | 0.481211i | ||||
\(425\) | 1.53696 | + | 4.73028i | 0.0745535 | + | 0.229452i | ||||
\(426\) | 4.05422 | − | 12.4776i | 0.196428 | − | 0.604542i | ||||
\(427\) | −0.314881 | − | 0.228774i | −0.0152382 | − | 0.0110712i | ||||
\(428\) | 11.5147 | 0.556583 | ||||||||
\(429\) | −17.6556 | + | 3.96393i | −0.852421 | + | 0.191381i | ||||
\(430\) | −0.765267 | −0.0369044 | ||||||||
\(431\) | 1.97304 | + | 1.43350i | 0.0950380 | + | 0.0690492i | 0.634289 | − | 0.773096i | \(-0.281293\pi\) |
−0.539251 | + | 0.842145i | \(0.681293\pi\) | |||||||
\(432\) | 4.39016 | − | 13.5115i | 0.211222 | − | 0.650073i | ||||
\(433\) | 0.811652 | + | 2.49801i | 0.0390055 | + | 0.120047i | 0.968663 | − | 0.248378i | \(-0.0798974\pi\) |
−0.929658 | + | 0.368424i | \(0.879897\pi\) | |||||||
\(434\) | −0.122489 | + | 0.0889932i | −0.00587964 | + | 0.00427181i | ||||
\(435\) | −1.41335 | + | 1.02686i | −0.0677647 | + | 0.0492340i | ||||
\(436\) | 0.525586 | + | 1.61759i | 0.0251710 | + | 0.0774684i | ||||
\(437\) | 16.9932 | − | 52.2998i | 0.812897 | − | 2.50184i | ||||
\(438\) | 6.62870 | + | 4.81603i | 0.316732 | + | 0.230119i | ||||
\(439\) | −12.5835 | −0.600580 | −0.300290 | − | 0.953848i | \(-0.597083\pi\) | ||||
−0.300290 | + | 0.953848i | \(0.597083\pi\) | |||||||
\(440\) | −0.154023 | + | 1.64591i | −0.00734274 | + | 0.0784655i | ||||
\(441\) | 8.09150 | 0.385310 | ||||||||
\(442\) | −3.88597 | − | 2.82333i | −0.184837 | − | 0.134292i | ||||
\(443\) | 4.79004 | − | 14.7422i | 0.227581 | − | 0.700424i | −0.770438 | − | 0.637515i | \(-0.779962\pi\) |
0.998019 | − | 0.0629086i | \(-0.0200377\pi\) | |||||||
\(444\) | −0.767234 | − | 2.36130i | −0.0364113 | − | 0.112063i | ||||
\(445\) | 0.999763 | − | 0.726370i | 0.0473933 | − | 0.0344332i | ||||
\(446\) | 15.3304 | − | 11.1382i | 0.725913 | − | 0.527407i | ||||
\(447\) | −1.70778 | − | 5.25600i | −0.0807751 | − | 0.248600i | ||||
\(448\) | 0.525467 | − | 1.61722i | 0.0248260 | − | 0.0764065i | ||||
\(449\) | −7.06502 | − | 5.13304i | −0.333419 | − | 0.242243i | 0.408461 | − | 0.912776i | \(-0.366066\pi\) |
−0.741880 | + | 0.670533i | \(0.766066\pi\) | |||||||
\(450\) | −6.89880 | −0.325213 | ||||||||
\(451\) | −12.1938 | + | 13.8574i | −0.574184 | + | 0.652520i | ||||
\(452\) | −5.73828 | −0.269906 | ||||||||
\(453\) | 5.81913 | + | 4.22784i | 0.273406 | + | 0.198641i | ||||
\(454\) | 2.69098 | − | 8.28199i | 0.126294 | − | 0.388693i | ||||
\(455\) | 0.0390251 | + | 0.120107i | 0.00182952 | + | 0.00563069i | ||||
\(456\) | 19.6754 | − | 14.2950i | 0.921386 | − | 0.669426i | ||||
\(457\) | 11.6029 | − | 8.43000i | 0.542761 | − | 0.394339i | −0.282348 | − | 0.959312i | \(-0.591113\pi\) |
0.825109 | + | 0.564973i | \(0.191113\pi\) | |||||||
\(458\) | 3.46951 | + | 10.6781i | 0.162120 | + | 0.498953i | ||||
\(459\) | 1.74363 | − | 5.36635i | 0.0813858 | − | 0.250480i | ||||
\(460\) | −0.711349 | − | 0.516825i | −0.0331668 | − | 0.0240971i | ||||
\(461\) | 4.91419 | 0.228877 | 0.114438 | − | 0.993430i | \(-0.463493\pi\) | ||||
0.114438 | + | 0.993430i | \(0.463493\pi\) | |||||||
\(462\) | 0.529503 | + | 0.893423i | 0.0246347 | + | 0.0415658i | ||||
\(463\) | 21.2802 | 0.988975 | 0.494488 | − | 0.869185i | \(-0.335356\pi\) | ||||
0.494488 | + | 0.869185i | \(0.335356\pi\) | |||||||
\(464\) | 16.1886 | + | 11.7617i | 0.751536 | + | 0.546023i | ||||
\(465\) | −0.0445257 | + | 0.137036i | −0.00206483 | + | 0.00635490i | ||||
\(466\) | 4.35750 | + | 13.4110i | 0.201857 | + | 0.621253i | ||||
\(467\) | −9.76965 | + | 7.09806i | −0.452085 | + | 0.328459i | −0.790419 | − | 0.612567i | \(-0.790137\pi\) |
0.338333 | + | 0.941026i | \(0.390137\pi\) | |||||||
\(468\) | −2.17755 | + | 1.58209i | −0.100657 | + | 0.0731319i | ||||
\(469\) | −0.315010 | − | 0.969501i | −0.0145458 | − | 0.0447674i | ||||
\(470\) | −0.747387 | + | 2.30022i | −0.0344744 | + | 0.106101i | ||||
\(471\) | 21.0651 | + | 15.3047i | 0.970630 | + | 0.705204i | ||||
\(472\) | −40.7891 | −1.87747 | ||||||||
\(473\) | 12.0412 | + | 5.19727i | 0.553656 | + | 0.238971i | ||||
\(474\) | 6.14491 | 0.282245 | ||||||||
\(475\) | −23.4832 | − | 17.0615i | −1.07748 | − | 0.782836i | ||||
\(476\) | 0.0344163 | − | 0.105922i | 0.00157747 | − | 0.00485495i | ||||
\(477\) | −1.96948 | − | 6.06142i | −0.0901761 | − | 0.277533i | ||||
\(478\) | 13.2609 | − | 9.63457i | 0.606537 | − | 0.440675i | ||||
\(479\) | −13.3865 | + | 9.72583i | −0.611643 | + | 0.444384i | −0.849992 | − | 0.526795i | \(-0.823394\pi\) |
0.238350 | + | 0.971179i | \(0.423394\pi\) | |||||||
\(480\) | −0.213480 | − | 0.657024i | −0.00974399 | − | 0.0299889i | ||||
\(481\) | 3.95770 | − | 12.1805i | 0.180455 | − | 0.555385i | ||||
\(482\) | −12.4100 | − | 9.01637i | −0.565258 | − | 0.410684i | ||||
\(483\) | −2.47214 | −0.112486 | ||||||||
\(484\) | 3.03927 | − | 5.55312i | 0.138149 | − | 0.252414i | ||||
\(485\) | −1.63988 | −0.0744632 | ||||||||
\(486\) | 10.8956 | + | 7.91609i | 0.494233 | + | 0.359081i | ||||
\(487\) | −4.75130 | + | 14.6230i | −0.215302 | + | 0.662632i | 0.783830 | + | 0.620976i | \(0.213263\pi\) |
−0.999132 | + | 0.0416562i | \(0.986737\pi\) | |||||||
\(488\) | 1.91039 | + | 5.87957i | 0.0864793 | + | 0.266156i | ||||
\(489\) | 0.429941 | − | 0.312370i | 0.0194426 | − | 0.0141259i | ||||
\(490\) | −1.09010 | + | 0.792006i | −0.0492458 | + | 0.0357792i | ||||
\(491\) | 1.04788 | + | 3.22506i | 0.0472903 | + | 0.145545i | 0.971913 | − | 0.235339i | \(-0.0756199\pi\) |
−0.924623 | + | 0.380883i | \(0.875620\pi\) | |||||||
\(492\) | 1.34177 | − | 4.12954i | 0.0604917 | − | 0.186174i | ||||
\(493\) | 6.42960 | + | 4.67137i | 0.289574 | + | 0.210388i | ||||
\(494\) | 28.0324 | 1.26124 | ||||||||
\(495\) | −0.573813 | − | 0.247671i | −0.0257910 | − | 0.0111320i | ||||
\(496\) | 1.65040 | 0.0741051 | ||||||||
\(497\) | 1.26951 | + | 0.922355i | 0.0569454 | + | 0.0413733i | ||||
\(498\) | 2.85871 | − | 8.79821i | 0.128102 | − | 0.394257i | ||||
\(499\) | −2.09092 | − | 6.43518i | −0.0936023 | − | 0.288078i | 0.893285 | − | 0.449492i | \(-0.148395\pi\) |
−0.986887 | + | 0.161413i | \(0.948395\pi\) | |||||||
\(500\) | −0.752946 | + | 0.547047i | −0.0336728 | + | 0.0244647i | ||||
\(501\) | −20.4740 | + | 14.8752i | −0.914709 | + | 0.664575i | ||||
\(502\) | −1.20237 | − | 3.70051i | −0.0536643 | − | 0.165162i | ||||
\(503\) | 4.32755 | − | 13.3188i | 0.192956 | − | 0.593857i | −0.807039 | − | 0.590499i | \(-0.798931\pi\) |
0.999994 | − | 0.00335815i | \(-0.00106893\pi\) | |||||||
\(504\) | 0.559311 | + | 0.406363i | 0.0249137 | + | 0.0181009i | ||||
\(505\) | 1.73682 | 0.0772873 | ||||||||
\(506\) | −19.0172 | − | 32.0874i | −0.845418 | − | 1.42646i | ||||
\(507\) | 4.33335 | 0.192451 | ||||||||
\(508\) | −7.84975 | − | 5.70318i | −0.348276 | − | 0.253038i | ||||
\(509\) | 2.68860 | − | 8.27465i | 0.119170 | − | 0.366767i | −0.873624 | − | 0.486602i | \(-0.838236\pi\) |
0.992794 | + | 0.119834i | \(0.0382363\pi\) | |||||||
\(510\) | 0.0810736 | + | 0.249519i | 0.00359000 | + | 0.0110489i | ||||
\(511\) | −0.792835 | + | 0.576028i | −0.0350729 | + | 0.0254820i | ||||
\(512\) | −18.9246 | + | 13.7495i | −0.836356 | + | 0.607648i | ||||
\(513\) | 10.1759 | + | 31.3183i | 0.449278 | + | 1.38273i | ||||
\(514\) | −0.447082 | + | 1.37598i | −0.0197199 | + | 0.0606917i | ||||
\(515\) | 0.565796 | + | 0.411075i | 0.0249320 | + | 0.0181141i | ||||
\(516\) | −3.08508 | −0.135813 | ||||||||
\(517\) | 27.3817 | − | 31.1174i | 1.20425 | − | 1.36854i | ||||
\(518\) | −0.735062 | −0.0322968 | ||||||||
\(519\) | −7.54149 | − | 5.47921i | −0.331035 | − | 0.240511i | ||||
\(520\) | 0.619861 | − | 1.90774i | 0.0271827 | − | 0.0836598i | ||||
\(521\) | 1.90675 | + | 5.86838i | 0.0835363 | + | 0.257098i | 0.984097 | − | 0.177632i | \(-0.0568437\pi\) |
−0.900561 | + | 0.434730i | \(0.856844\pi\) | |||||||
\(522\) | −8.91820 | + | 6.47945i | −0.390339 | + | 0.283598i | ||||
\(523\) | −12.9303 | + | 9.39443i | −0.565404 | + | 0.410790i | −0.833433 | − | 0.552621i | \(-0.813628\pi\) |
0.268029 | + | 0.963411i | \(0.413628\pi\) | |||||||
\(524\) | 1.76694 | + | 5.43810i | 0.0771893 | + | 0.237564i | ||||
\(525\) | −0.403236 | + | 1.24103i | −0.0175987 | + | 0.0541632i | ||||
\(526\) | 16.3275 | + | 11.8626i | 0.711914 | + | 0.517236i | ||||
\(527\) | 0.655487 | 0.0285535 | ||||||||
\(528\) | 1.05478 | − | 11.2715i | 0.0459035 | − | 0.490531i | ||||
\(529\) | 65.7872 | 2.86031 | ||||||||
\(530\) | 0.858631 | + | 0.623832i | 0.0372965 | + | 0.0270975i | ||||
\(531\) | 4.76535 | − | 14.6662i | 0.206798 | − | 0.636460i | ||||
\(532\) | 0.200855 | + | 0.618168i | 0.00870817 | + | 0.0268010i | ||||
\(533\) | 18.1204 | − | 13.1652i | 0.784882 | − | 0.570250i | ||||
\(534\) | −9.97643 | + | 7.24830i | −0.431722 | + | 0.313665i | ||||
\(535\) | −1.00254 | − | 3.08551i | −0.0433438 | − | 0.133398i | ||||
\(536\) | −5.00352 | + | 15.3992i | −0.216119 | + | 0.665146i | ||||
\(537\) | 2.95910 | + | 2.14991i | 0.127695 | + | 0.0927755i | ||||
\(538\) | 28.2413 | 1.21757 | ||||||||
\(539\) | 22.5313 | − | 5.05859i | 0.970491 | − | 0.217889i | ||||
\(540\) | 0.526529 | 0.0226582 | ||||||||
\(541\) | −23.5254 | − | 17.0922i | −1.01144 | − | 0.734853i | −0.0469276 | − | 0.998898i | \(-0.514943\pi\) |
−0.964510 | + | 0.264046i | \(0.914943\pi\) | |||||||
\(542\) | −4.31871 | + | 13.2916i | −0.185505 | + | 0.570925i | ||||
\(543\) | 2.88430 | + | 8.87695i | 0.123777 | + | 0.380946i | ||||
\(544\) | −2.54254 | + | 1.84726i | −0.109011 | + | 0.0792008i | ||||
\(545\) | 0.387693 | − | 0.281676i | 0.0166070 | − | 0.0120657i | ||||
\(546\) | −0.389423 | − | 1.19852i | −0.0166658 | − | 0.0512920i | ||||
\(547\) | −5.51632 | + | 16.9775i | −0.235861 | + | 0.725904i | 0.761145 | + | 0.648581i | \(0.224637\pi\) |
−0.997006 | + | 0.0773232i | \(0.975363\pi\) | |||||||
\(548\) | 4.60782 | + | 3.34777i | 0.196836 | + | 0.143010i | ||||
\(549\) | −2.33727 | −0.0997520 | ||||||||
\(550\) | −19.2101 | + | 4.31294i | −0.819123 | + | 0.183904i | ||||
\(551\) | −46.3815 | −1.97592 | ||||||||
\(552\) | 31.7673 | + | 23.0803i | 1.35211 | + | 0.982364i | ||||
\(553\) | −0.227118 | + | 0.698998i | −0.00965806 | + | 0.0297244i | ||||
\(554\) | −4.54085 | − | 13.9753i | −0.192922 | − | 0.593754i | ||||
\(555\) | −0.565943 | + | 0.411182i | −0.0240229 | + | 0.0174537i | ||||
\(556\) | −5.41764 | + | 3.93614i | −0.229759 | + | 0.166930i | ||||
\(557\) | −1.02231 | − | 3.14634i | −0.0433166 | − | 0.133315i | 0.927059 | − | 0.374915i | \(-0.122328\pi\) |
−0.970376 | + | 0.241600i | \(0.922328\pi\) | |||||||
\(558\) | −0.280957 | + | 0.864696i | −0.0118939 | + | 0.0366055i | ||||
\(559\) | −12.8748 | − | 9.35405i | −0.544544 | − | 0.395634i | ||||
\(560\) | −0.0790089 | −0.00333874 | ||||||||
\(561\) | 0.418926 | − | 4.47670i | 0.0176871 | − | 0.189007i | ||||
\(562\) | 29.1382 | 1.22912 | ||||||||
\(563\) | −28.2281 | − | 20.5089i | −1.18967 | − | 0.864348i | −0.196444 | − | 0.980515i | \(-0.562939\pi\) |
−0.993230 | + | 0.116167i | \(0.962939\pi\) | |||||||
\(564\) | −3.01300 | + | 9.27306i | −0.126870 | + | 0.390466i | ||||
\(565\) | 0.499613 | + | 1.53765i | 0.0210189 | + | 0.0646895i | ||||
\(566\) | 30.2021 | − | 21.9431i | 1.26949 | − | 0.922337i | ||||
\(567\) | 0.651783 | − | 0.473548i | 0.0273723 | − | 0.0198871i | ||||
\(568\) | −7.70216 | − | 23.7048i | −0.323176 | − | 0.994632i | ||||
\(569\) | 2.73160 | − | 8.40699i | 0.114515 | − | 0.352440i | −0.877331 | − | 0.479886i | \(-0.840678\pi\) |
0.991845 | + | 0.127446i | \(0.0406781\pi\) | |||||||
\(570\) | −1.23872 | − | 0.899983i | −0.0518843 | − | 0.0376961i | ||||
\(571\) | 8.27184 | 0.346166 | 0.173083 | − | 0.984907i | \(-0.444627\pi\) | ||||
0.173083 | + | 0.984907i | \(0.444627\pi\) | |||||||
\(572\) | −5.07445 | + | 5.76676i | −0.212173 | + | 0.241120i | ||||
\(573\) | −18.8707 | −0.788335 | ||||||||
\(574\) | −1.04000 | − | 0.755602i | −0.0434086 | − | 0.0315382i | ||||
\(575\) | 14.4823 | − | 44.5720i | 0.603954 | − | 1.85878i | ||||
\(576\) | −3.15547 | − | 9.71155i | −0.131478 | − | 0.404648i | ||||
\(577\) | 8.67364 | − | 6.30177i | 0.361088 | − | 0.262346i | −0.392418 | − | 0.919787i | \(-0.628361\pi\) |
0.753506 | + | 0.657441i | \(0.228361\pi\) | |||||||
\(578\) | 0.965584 | − | 0.701538i | 0.0401630 | − | 0.0291801i | ||||
\(579\) | 4.88492 | + | 15.0342i | 0.203010 | + | 0.624802i | ||||
\(580\) | −0.229170 | + | 0.705313i | −0.00951577 | + | 0.0292865i | ||||
\(581\) | 0.895158 | + | 0.650370i | 0.0371374 | + | 0.0269819i | ||||
\(582\) | 16.3640 | 0.678311 | ||||||||
\(583\) | −9.27356 | − | 15.6471i | −0.384071 | − | 0.648038i | ||||
\(584\) | 15.5660 | 0.644124 | ||||||||
\(585\) | 0.613533 | + | 0.445758i | 0.0253665 | + | 0.0184298i | ||||
\(586\) | −6.29587 | + | 19.3767i | −0.260080 | + | 0.800444i | ||||
\(587\) | −0.646664 | − | 1.99023i | −0.0266907 | − | 0.0821455i | 0.936824 | − | 0.349801i | \(-0.113751\pi\) |
−0.963515 | + | 0.267656i | \(0.913751\pi\) | |||||||
\(588\) | −4.39462 | + | 3.19288i | −0.181231 | + | 0.131672i | ||||
\(589\) | −3.09485 | + | 2.24854i | −0.127521 | + | 0.0926496i | ||||
\(590\) | 0.793552 | + | 2.44230i | 0.0326700 | + | 0.100548i | ||||
\(591\) | 0.637518 | − | 1.96208i | 0.0262240 | − | 0.0807092i | ||||
\(592\) | 6.48235 | + | 4.70971i | 0.266423 | + | 0.193568i | ||||
\(593\) | −12.9481 | −0.531713 | −0.265857 | − | 0.964013i | \(-0.585655\pi\) | ||||
−0.265857 | + | 0.964013i | \(0.585655\pi\) | |||||||
\(594\) | 20.5071 | + | 8.85133i | 0.841417 | + | 0.363175i | ||||
\(595\) | −0.0313799 | −0.00128645 | ||||||||
\(596\) | −1.89798 | − | 1.37896i | −0.0777442 | − | 0.0564845i | ||||
\(597\) | 4.28471 | − | 13.1870i | 0.175362 | − | 0.539707i | ||||
\(598\) | 13.9862 | + | 43.0451i | 0.571938 | + | 1.76025i | ||||
\(599\) | −22.6478 | + | 16.4546i | −0.925366 | + | 0.672318i | −0.944854 | − | 0.327492i | \(-0.893796\pi\) |
0.0194879 | + | 0.999810i | \(0.493796\pi\) | |||||||
\(600\) | 16.7682 | − | 12.1828i | 0.684558 | − | 0.497361i | ||||
\(601\) | 9.03084 | + | 27.7941i | 0.368375 | + | 1.13374i | 0.947840 | + | 0.318746i | \(0.103262\pi\) |
−0.579465 | + | 0.814997i | \(0.696738\pi\) | |||||||
\(602\) | −0.282246 | + | 0.868663i | −0.0115035 | + | 0.0354041i | ||||
\(603\) | −4.95244 | − | 3.59816i | −0.201679 | − | 0.146528i | ||||
\(604\) | 3.05341 | 0.124241 | ||||||||
\(605\) | −1.75265 | − | 0.330921i | −0.0712554 | − | 0.0134539i | ||||
\(606\) | −17.3313 | −0.704037 | ||||||||
\(607\) | −4.10293 | − | 2.98095i | −0.166533 | − | 0.120993i | 0.501397 | − | 0.865217i | \(-0.332820\pi\) |
−0.667930 | + | 0.744224i | \(0.732820\pi\) | |||||||
\(608\) | 5.66776 | − | 17.4436i | 0.229858 | − | 0.707430i | ||||
\(609\) | 0.644326 | + | 1.98303i | 0.0261094 | + | 0.0803565i | ||||
\(610\) | 0.314881 | − | 0.228774i | 0.0127492 | − | 0.00926280i | ||||
\(611\) | −40.6901 | + | 29.5631i | −1.64615 | + | 1.19599i | ||||
\(612\) | −0.206673 | − | 0.636074i | −0.00835426 | − | 0.0257118i | ||||
\(613\) | 9.08422 | − | 27.9583i | 0.366908 | − | 1.12923i | −0.581869 | − | 0.813282i | \(-0.697679\pi\) |
0.948778 | − | 0.315945i | \(-0.102321\pi\) | |||||||
\(614\) | −11.0535 | − | 8.03085i | −0.446084 | − | 0.324099i | ||||
\(615\) | −1.22339 | −0.0493319 | ||||||||
\(616\) | 1.81148 | + | 0.781876i | 0.0729867 | + | 0.0315027i | ||||
\(617\) | 9.43628 | 0.379890 | 0.189945 | − | 0.981795i | \(-0.439169\pi\) | ||||
0.189945 | + | 0.981795i | \(0.439169\pi\) | |||||||
\(618\) | −5.64596 | − | 4.10203i | −0.227114 | − | 0.165008i | ||||
\(619\) | −4.45662 | + | 13.7161i | −0.179127 | + | 0.551295i | −0.999798 | − | 0.0201054i | \(-0.993600\pi\) |
0.820671 | + | 0.571401i | \(0.193600\pi\) | |||||||
\(620\) | 0.0189015 | + | 0.0581728i | 0.000759102 | + | 0.00233628i | ||||
\(621\) | −43.0136 | + | 31.2512i | −1.72608 | + | 1.25407i | ||||
\(622\) | 4.53351 | − | 3.29379i | 0.181777 | − | 0.132069i | ||||
\(623\) | −0.455779 | − | 1.40274i | −0.0182604 | − | 0.0561997i | ||||
\(624\) | −4.24495 | + | 13.0646i | −0.169934 | + | 0.523003i | ||||
\(625\) | −19.9069 | − | 14.4632i | −0.796277 | − | 0.578529i | ||||
\(626\) | 33.7330 | 1.34824 | ||||||||
\(627\) | 13.3787 | + | 22.5736i | 0.534293 | + | 0.901504i | ||||
\(628\) | 11.0533 | 0.441074 | ||||||||
\(629\) | 2.57459 | + | 1.87055i | 0.102656 | + | 0.0745836i | ||||
\(630\) | 0.0134501 | − | 0.0413953i | 0.000535867 | − | 0.00164923i | ||||
\(631\) | −0.717367 | − | 2.20783i | −0.0285579 | − | 0.0878923i | 0.935762 | − | 0.352633i | \(-0.114714\pi\) |
−0.964320 | + | 0.264741i | \(0.914714\pi\) | |||||||
\(632\) | 9.44449 | − | 6.86182i | 0.375682 | − | 0.272949i | ||||
\(633\) | 22.1841 | − | 16.1177i | 0.881739 | − | 0.640621i | ||||
\(634\) | −1.82980 | − | 5.63153i | −0.0726704 | − | 0.223657i | ||||
\(635\) | −0.844792 | + | 2.60000i | −0.0335245 | + | 0.103178i | ||||
\(636\) | 3.46147 | + | 2.51490i | 0.137256 | + | 0.0997224i | ||||
\(637\) | −28.0206 | −1.11022 | ||||||||
\(638\) | −20.7825 | + | 23.6178i | −0.822786 | + | 0.935039i | ||||
\(639\) | 9.42321 | 0.372776 | ||||||||
\(640\) | 0.551158 | + | 0.400440i | 0.0217864 | + | 0.0158288i | ||||
\(641\) | 5.76116 | − | 17.7310i | 0.227552 | − | 0.700333i | −0.770470 | − | 0.637476i | \(-0.779979\pi\) |
0.998023 | − | 0.0628576i | \(-0.0200214\pi\) | |||||||
\(642\) | 10.0042 | + | 30.7897i | 0.394834 | + | 1.21517i | ||||
\(643\) | 8.67780 | − | 6.30479i | 0.342219 | − | 0.248637i | −0.403379 | − | 0.915033i | \(-0.632164\pi\) |
0.745597 | + | 0.666397i | \(0.232164\pi\) | |||||||
\(644\) | −0.849014 | + | 0.616845i | −0.0334558 | + | 0.0243071i | ||||
\(645\) | 0.268608 | + | 0.826689i | 0.0105764 | + | 0.0325509i | ||||
\(646\) | −2.15245 | + | 6.62456i | −0.0846870 | + | 0.260640i | ||||
\(647\) | 31.6155 | + | 22.9700i | 1.24293 | + | 0.903043i | 0.997790 | − | 0.0664445i | \(-0.0211655\pi\) |
0.245142 | + | 0.969487i | \(0.421166\pi\) | |||||||
\(648\) | −12.7966 | −0.502700 | ||||||||
\(649\) | 4.10047 | − | 43.8182i | 0.160957 | − | 1.72001i | ||||
\(650\) | 23.8904 | 0.937057 | ||||||||
\(651\) | 0.139129 | + | 0.101083i | 0.00545291 | + | 0.00396177i | ||||
\(652\) | 0.0697137 | − | 0.214557i | 0.00273020 | − | 0.00840269i | ||||
\(653\) | 12.9360 | + | 39.8130i | 0.506226 | + | 1.55800i | 0.798700 | + | 0.601729i | \(0.205521\pi\) |
−0.292474 | + | 0.956273i | \(0.594479\pi\) | |||||||
\(654\) | −3.86871 | + | 2.81078i | −0.151279 | + | 0.109910i | ||||
\(655\) | 1.30337 | − | 0.946953i | 0.0509269 | − | 0.0370005i | ||||
\(656\) | 4.33020 | + | 13.3270i | 0.169066 | + | 0.520331i | ||||
\(657\) | −1.81856 | + | 5.59694i | −0.0709486 | + | 0.218357i | ||||
\(658\) | 2.33535 | + | 1.69673i | 0.0910416 | + | 0.0661456i | ||||
\(659\) | 36.1384 | 1.40775 | 0.703875 | − | 0.710323i | \(-0.251451\pi\) | ||||
0.703875 | + | 0.710323i | \(0.251451\pi\) | |||||||
\(660\) | 0.409376 | − | 0.0919107i | 0.0159349 | − | 0.00357762i | ||||
\(661\) | 13.4795 | 0.524292 | 0.262146 | − | 0.965028i | \(-0.415570\pi\) | ||||
0.262146 | + | 0.965028i | \(0.415570\pi\) | |||||||
\(662\) | −29.3657 | − | 21.3354i | −1.14133 | − | 0.829224i | ||||
\(663\) | −1.68596 | + | 5.18886i | −0.0654773 | + | 0.201518i | ||||
\(664\) | −5.43094 | − | 16.7147i | −0.210761 | − | 0.648657i | ||||
\(665\) | 0.148159 | − | 0.107644i | 0.00574535 | − | 0.00417424i | ||||
\(666\) | −3.57109 | + | 2.59455i | −0.138377 | + | 0.100537i | ||||
\(667\) | −23.1411 | − | 71.2209i | −0.896026 | − | 2.75768i | ||||
\(668\) | −3.31979 | + | 10.2173i | −0.128447 | + | 0.395318i | ||||
\(669\) | −17.4131 | − | 12.6513i | −0.673228 | − | 0.489129i | ||||
\(670\) | 1.01939 | 0.0393826 | ||||||||
\(671\) | −6.50825 | + | 1.46119i | −0.251248 | + | 0.0564088i | ||||
\(672\) | −0.824532 | −0.0318070 | ||||||||
\(673\) | −6.24193 | − | 4.53503i | −0.240609 | − | 0.174813i | 0.460946 | − | 0.887428i | \(-0.347510\pi\) |
−0.701554 | + | 0.712616i | \(0.747510\pi\) | |||||||
\(674\) | −10.7883 | + | 33.2028i | −0.415548 | + | 1.27893i | ||||
\(675\) | 8.67232 | + | 26.6907i | 0.333798 | + | 1.02732i | ||||
\(676\) | 1.48822 | − | 1.08125i | 0.0572391 | − | 0.0415867i | ||||
\(677\) | 10.0936 | − | 7.33340i | 0.387927 | − | 0.281845i | −0.376679 | − | 0.926344i | \(-0.622934\pi\) |
0.764605 | + | 0.644499i | \(0.222934\pi\) | |||||||
\(678\) | −4.98554 | − | 15.3439i | −0.191468 | − | 0.589279i | ||||
\(679\) | −0.604821 | + | 1.86145i | −0.0232109 | + | 0.0714358i | ||||
\(680\) | 0.403236 | + | 0.292968i | 0.0154634 | + | 0.0112348i | ||||
\(681\) | −9.89126 | −0.379034 | ||||||||
\(682\) | −0.241757 | + | 2.58345i | −0.00925734 | + | 0.0989252i | ||||
\(683\) | −43.4165 | −1.66129 | −0.830644 | − | 0.556804i | \(-0.812027\pi\) | ||||
−0.830644 | + | 0.556804i | \(0.812027\pi\) | |||||||
\(684\) | 3.15775 | + | 2.29424i | 0.120739 | + | 0.0877224i | ||||
\(685\) | 0.495894 | − | 1.52621i | 0.0189472 | − | 0.0583133i | ||||
\(686\) | 0.996600 | + | 3.06722i | 0.0380504 | + | 0.117107i | ||||
\(687\) | 10.3173 | − | 7.49597i | 0.393630 | − | 0.285989i | ||||
\(688\) | 8.05478 | − | 5.85214i | 0.307086 | − | 0.223111i | ||||
\(689\) | 6.82024 | + | 20.9905i | 0.259830 | + | 0.799676i | ||||
\(690\) | 0.763932 | − | 2.35114i | 0.0290824 | − | 0.0895064i | ||||
\(691\) | 27.8819 | + | 20.2574i | 1.06068 | + | 0.770628i | 0.974214 | − | 0.225627i | \(-0.0724432\pi\) |
0.0864642 | + | 0.996255i | \(0.472443\pi\) | |||||||
\(692\) | −3.95717 | −0.150429 | ||||||||
\(693\) | −0.492767 | + | 0.559995i | −0.0187187 | + | 0.0212725i | ||||
\(694\) | −17.8370 | −0.677084 | ||||||||
\(695\) | 1.52644 | + | 1.10902i | 0.0579011 | + | 0.0420676i | ||||
\(696\) | 10.2343 | − | 31.4978i | 0.387929 | − | 1.19392i | ||||
\(697\) | 1.71982 | + | 5.29306i | 0.0651428 | + | 0.200489i | ||||
\(698\) | −26.4068 | + | 19.1857i | −0.999512 | + | 0.726188i | ||||
\(699\) | 12.9579 | − | 9.41449i | 0.490114 | − | 0.356089i | ||||
\(700\) | 0.171177 | + | 0.526828i | 0.00646987 | + | 0.0199122i | ||||
\(701\) | 14.0478 | − | 43.2346i | 0.530577 | − | 1.63295i | −0.222439 | − | 0.974947i | \(-0.571402\pi\) |
0.753016 | − | 0.658002i | \(-0.228598\pi\) | |||||||
\(702\) | −21.9267 | − | 15.9307i | −0.827569 | − | 0.601264i | ||||
\(703\) | −18.5724 | −0.700472 | ||||||||
\(704\) | −14.8580 | − | 25.0697i | −0.559982 | − | 0.944849i | ||||
\(705\) | 2.74717 | 0.103465 | ||||||||
\(706\) | 21.8290 | + | 15.8597i | 0.821544 | + | 0.596886i | ||||
\(707\) | 0.640572 | − | 1.97148i | 0.0240912 | − | 0.0741451i | ||||
\(708\) | 3.19911 | + | 9.84584i | 0.120230 | + | 0.370029i | ||||
\(709\) | 22.7758 | − | 16.5476i | 0.855364 | − | 0.621458i | −0.0712560 | − | 0.997458i | \(-0.522701\pi\) |
0.926620 | + | 0.376000i | \(0.122701\pi\) | |||||||
\(710\) | −1.26951 | + | 0.922355i | −0.0476440 | + | 0.0346154i | ||||
\(711\) | 1.36387 | + | 4.19755i | 0.0511490 | + | 0.157420i | ||||
\(712\) | −7.23944 | + | 22.2807i | −0.271309 | + | 0.835004i | ||||
\(713\) | −4.99686 | − | 3.63043i | −0.187134 | − | 0.135961i | ||||
\(714\) | 0.313133 | 0.0117187 | ||||||||
\(715\) | 1.98710 | + | 0.857676i | 0.0743132 | + | 0.0320753i | ||||
\(716\) | 1.55270 | 0.0580270 | ||||||||
\(717\) | −15.0624 | − | 10.9435i | −0.562516 | − | 0.408692i | ||||
\(718\) | −8.25554 | + | 25.4079i | −0.308094 | + | 0.948216i | ||||
\(719\) | −9.08453 | − | 27.9593i | −0.338796 | − | 1.04271i | −0.964822 | − | 0.262904i | \(-0.915320\pi\) |
0.626026 | − | 0.779802i | \(-0.284680\pi\) | |||||||
\(720\) | −0.383843 | + | 0.278878i | −0.0143050 | + | 0.0103932i | ||||
\(721\) | 0.675293 | − | 0.490629i | 0.0251492 | − | 0.0182720i | ||||
\(722\) | −5.55421 | − | 17.0941i | −0.206706 | − | 0.636177i | ||||
\(723\) | −5.38416 | + | 16.5708i | −0.200239 | + | 0.616273i | ||||
\(724\) | 3.20553 | + | 2.32895i | 0.119133 | + | 0.0865549i | ||||
\(725\) | −39.5281 | −1.46804 | ||||||||
\(726\) | 17.4894 | + | 3.30220i | 0.649091 | + | 0.122556i | ||||
\(727\) | −36.7713 | −1.36377 | −0.681886 | − | 0.731459i | \(-0.738840\pi\) | ||||
−0.681886 | + | 0.731459i | \(0.738840\pi\) | |||||||
\(728\) | −1.93688 | − | 1.40722i | −0.0717854 | − | 0.0521552i | ||||
\(729\) | 8.58642 | − | 26.4263i | 0.318015 | − | 0.978751i | ||||
\(730\) | −0.302836 | − | 0.932033i | −0.0112085 | − | 0.0344961i | ||||
\(731\) | 3.19911 | − | 2.32429i | 0.118323 | − | 0.0859669i | ||||
\(732\) | 1.26940 | − | 0.922276i | 0.0469185 | − | 0.0340883i | ||||
\(733\) | 10.2674 | + | 31.5997i | 0.379233 | + | 1.16716i | 0.940578 | + | 0.339578i | \(0.110284\pi\) |
−0.561344 | + | 0.827582i | \(0.689716\pi\) | |||||||
\(734\) | −7.20300 | + | 22.1686i | −0.265868 | + | 0.818256i | ||||
\(735\) | 1.23820 | + | 0.899605i | 0.0456717 | + | 0.0331824i | ||||
\(736\) | 29.6132 | 1.09156 | ||||||||
\(737\) | −16.0398 | − | 6.92315i | −0.590835 | − | 0.255018i | ||||
\(738\) | −7.71958 | −0.284162 | ||||||||
\(739\) | 16.5629 | + | 12.0336i | 0.609276 | + | 0.442665i | 0.849159 | − | 0.528137i | \(-0.177109\pi\) |
−0.239883 | + | 0.970802i | \(0.577109\pi\) | |||||||
\(740\) | −0.0917661 | + | 0.282427i | −0.00337339 | + | 0.0103822i | ||||
\(741\) | −9.83935 | − | 30.2824i | −0.361457 | − | 1.11245i | ||||
\(742\) | 1.02480 | − | 0.744560i | 0.0376216 | − | 0.0273337i | ||||
\(743\) | −27.6761 | + | 20.1079i | −1.01534 | + | 0.737687i | −0.965322 | − | 0.261061i | \(-0.915928\pi\) |
−0.0500170 | + | 0.998748i | \(0.515928\pi\) | |||||||
\(744\) | −0.844101 | − | 2.59788i | −0.0309462 | − | 0.0952427i | ||||
\(745\) | −0.204261 | + | 0.628650i | −0.00748354 | + | 0.0230320i | ||||
\(746\) | −22.1335 | − | 16.0809i | −0.810366 | − | 0.588765i | ||||
\(747\) | 6.64449 | 0.243109 | ||||||||
\(748\) | −0.973149 | − | 1.64198i | −0.0355819 | − | 0.0600367i | ||||
\(749\) | −3.87216 | −0.141486 | ||||||||
\(750\) | −2.11695 | − | 1.53806i | −0.0773002 | − | 0.0561619i | ||||
\(751\) | −12.2108 | + | 37.5810i | −0.445579 | + | 1.37135i | 0.436269 | + | 0.899816i | \(0.356300\pi\) |
−0.881848 | + | 0.471535i | \(0.843700\pi\) | |||||||
\(752\) | −9.72363 | − | 29.9263i | −0.354584 | − | 1.09130i | ||||
\(753\) | −3.57549 | + | 2.59775i | −0.130298 | + | 0.0946672i | ||||
\(754\) | 30.8835 | − | 22.4381i | 1.12471 | − | 0.817149i | ||||
\(755\) | −0.265850 | − | 0.818202i | −0.00967527 | − | 0.0297774i | ||||
\(756\) | 0.194195 | − | 0.597669i | 0.00706279 | − | 0.0217370i | ||||
\(757\) | −5.12215 | − | 3.72146i | −0.186168 | − | 0.135259i | 0.490798 | − | 0.871274i | \(-0.336705\pi\) |
−0.676966 | + | 0.736015i | \(0.736705\pi\) | |||||||
\(758\) | −5.75738 | −0.209118 | ||||||||
\(759\) | −27.9879 | + | 31.8062i | −1.01589 | + | 1.15449i | ||||
\(760\) | −2.90885 | −0.105515 | ||||||||
\(761\) | −17.9903 | − | 13.0707i | −0.652148 | − | 0.473813i | 0.211855 | − | 0.977301i | \(-0.432050\pi\) |
−0.864002 | + | 0.503488i | \(0.832050\pi\) | |||||||
\(762\) | 8.43001 | − | 25.9449i | 0.305387 | − | 0.939884i | ||||
\(763\) | −0.176744 | − | 0.543963i | −0.00639857 | − | 0.0196928i | ||||
\(764\) | −6.48083 | + | 4.70860i | −0.234468 | + | 0.170351i | ||||
\(765\) | −0.152450 | + | 0.110762i | −0.00551185 | + | 0.00400459i | ||||
\(766\) | −3.94878 | − | 12.1531i | −0.142675 | − | 0.439110i | ||||
\(767\) | −16.5023 | + | 50.7887i | −0.595862 | + | 1.83387i | ||||
\(768\) | 13.7738 | + | 10.0072i | 0.497018 | + | 0.361105i | ||||
\(769\) | −13.6823 | −0.493398 | −0.246699 | − | 0.969092i | \(-0.579346\pi\) | ||||
−0.246699 | + | 0.969092i | \(0.579346\pi\) | |||||||
\(770\) | 0.0115735 | − | 0.123676i | 0.000417081 | − | 0.00445699i | ||||
\(771\) | 1.64334 | 0.0591835 | ||||||||
\(772\) | 5.42897 | + | 3.94438i | 0.195393 | + | 0.141961i | ||||
\(773\) | −13.4191 | + | 41.2998i | −0.482652 | + | 1.48545i | 0.352700 | + | 0.935737i | \(0.385264\pi\) |
−0.835352 | + | 0.549715i | \(0.814736\pi\) | |||||||
\(774\) | 1.69491 | + | 5.21640i | 0.0609223 | + | 0.187500i | ||||
\(775\) | −2.63756 | + | 1.91630i | −0.0947438 | + | 0.0688354i | ||||
\(776\) | 25.1509 | − | 18.2732i | 0.902864 | − | 0.655969i | ||||
\(777\) | 0.258006 | + | 0.794060i | 0.00925591 | + | 0.0284868i | ||||
\(778\) | −10.4225 | + | 32.0772i | −0.373666 | + | 1.15002i | ||||
\(779\) | −26.2770 | − | 19.0914i | −0.941473 | − | 0.684020i | ||||
\(780\) | −0.509114 | −0.0182292 | ||||||||
\(781\) | 26.2395 | − | 5.89113i | 0.938922 | − | 0.210801i | ||||
\(782\) | −11.2462 | −0.402165 | ||||||||
\(783\) | 36.2791 | + | 26.3583i | 1.29651 | + | 0.941969i | ||||
\(784\) | 5.41721 | − | 16.6724i | 0.193472 | − | 0.595445i | ||||
\(785\) | −0.962372 | − | 2.96188i | −0.0343485 | − | 0.105714i | ||||
\(786\) | −13.0061 | + | 9.44946i | −0.463911 | + | 0.337051i | ||||
\(787\) | 18.9055 | − | 13.7357i | 0.673909 | − | 0.489624i | −0.197422 | − | 0.980319i | \(-0.563257\pi\) |
0.871332 | + | 0.490695i | \(0.163257\pi\) | |||||||
\(788\) | −0.270631 | − | 0.832917i | −0.00964083 | − | 0.0296714i | ||||
\(789\) | 7.08383 | − | 21.8018i | 0.252191 | − | 0.776164i | ||||
\(790\) | −0.594604 | − | 0.432005i | −0.0211550 | − | 0.0153700i | ||||
\(791\) | 1.92967 | 0.0686113 | ||||||||
\(792\) | 11.5604 | − | 2.59546i | 0.410780 | − | 0.0922258i | ||||
\(793\) | 8.09388 | 0.287422 | ||||||||
\(794\) | −23.5554 | − | 17.1140i | −0.835949 | − | 0.607352i | ||||
\(795\) | 0.372524 | − | 1.14651i | 0.0132121 | − | 0.0406626i | ||||
\(796\) | −1.81889 | − | 5.59796i | −0.0644688 | − | 0.198415i | ||||
\(797\) | −22.3779 | + | 16.2585i | −0.792664 | + | 0.575904i | −0.908753 | − | 0.417335i | \(-0.862964\pi\) |
0.116089 | + | 0.993239i | \(0.462964\pi\) | |||||||
\(798\) | −1.47845 | + | 1.07415i | −0.0523364 | + | 0.0380246i | ||||
\(799\) | −3.86192 | − | 11.8858i | −0.136625 | − | 0.420488i | ||||
\(800\) | 4.83029 | − | 14.8661i | 0.170776 | − | 0.525596i | ||||
\(801\) | −7.16553 | − | 5.20607i | −0.253182 | − | 0.183947i | ||||
\(802\) | 10.5909 | 0.373977 | ||||||||
\(803\) | −1.56482 | + | 16.7219i | −0.0552215 | + | 0.590104i | ||||
\(804\) | 4.10956 | 0.144933 | ||||||||
\(805\) | 0.239213 | + | 0.173798i | 0.00843114 | + | 0.00612558i | ||||
\(806\) | 0.972946 | − | 2.99442i | 0.0342705 | − | 0.105474i | ||||
\(807\) | −9.91265 | − | 30.5080i | −0.348942 | − | 1.07393i | ||||
\(808\) | −26.6376 | + | 19.3533i | −0.937106 | + | 0.680847i | ||||
\(809\) | 43.4998 | − | 31.6045i | 1.52937 | − | 1.11115i | 0.572787 | − | 0.819704i | \(-0.305862\pi\) |
0.956586 | − | 0.291450i | \(-0.0941377\pi\) | |||||||
\(810\) | 0.248959 | + | 0.766217i | 0.00874752 | + | 0.0269221i | ||||
\(811\) | −6.47042 | + | 19.9139i | −0.227207 | + | 0.699272i | 0.770853 | + | 0.637013i | \(0.219830\pi\) |
−0.998060 | + | 0.0622588i | \(0.980170\pi\) | |||||||
\(812\) | 0.716087 | + | 0.520267i | 0.0251297 | + | 0.0182578i | ||||
\(813\) | 15.8743 | 0.556737 | ||||||||
\(814\) | −8.32188 | + | 9.45723i | −0.291682 | + | 0.331476i | ||||
\(815\) | −0.0635631 | −0.00222652 | ||||||||
\(816\) | −2.76145 | − | 2.00631i | −0.0966703 | − | 0.0702351i | ||||
\(817\) | −7.13135 | + | 21.9481i | −0.249495 | + | 0.767865i | ||||
\(818\) | 5.19353 | + | 15.9840i | 0.181587 | + | 0.558869i | ||||
\(819\) | 0.732269 | − | 0.532024i | 0.0255875 | − | 0.0185904i | ||||
\(820\) | −0.420153 | + | 0.305259i | −0.0146724 | + | 0.0106601i | ||||
\(821\) | −2.95993 | − | 9.10971i | −0.103302 | − | 0.317931i | 0.886026 | − | 0.463635i | \(-0.153455\pi\) |
−0.989328 | + | 0.145704i | \(0.953455\pi\) | |||||||
\(822\) | −4.94843 | + | 15.2297i | −0.172596 | + | 0.531197i | ||||
\(823\) | 27.9795 | + | 20.3283i | 0.975305 | + | 0.708601i | 0.956654 | − | 0.291225i | \(-0.0940630\pi\) |
0.0186507 | + | 0.999826i | \(0.494063\pi\) | |||||||
\(824\) | −13.2582 | −0.461872 | ||||||||
\(825\) | 11.4018 | + | 19.2381i | 0.396961 | + | 0.669786i | ||||
\(826\) | 3.06496 | 0.106644 | ||||||||
\(827\) | 7.57543 | + | 5.50387i | 0.263424 | + | 0.191388i | 0.711655 | − | 0.702529i | \(-0.247946\pi\) |
−0.448231 | + | 0.893918i | \(0.647946\pi\) | |||||||
\(828\) | −1.94742 | + | 5.99353i | −0.0676774 | + | 0.208290i | ||||
\(829\) | −11.4060 | − | 35.1042i | −0.396148 | − | 1.21922i | −0.928064 | − | 0.372422i | \(-0.878528\pi\) |
0.531915 | − | 0.846798i | \(-0.321472\pi\) | |||||||
\(830\) | −0.895158 | + | 0.650370i | −0.0310714 | + | 0.0225747i | ||||
\(831\) | −13.5032 | + | 9.81063i | −0.468420 | + | 0.340327i | ||||
\(832\) | 10.9273 | + | 33.6308i | 0.378836 | + | 1.16594i | ||||
\(833\) | 2.15155 | − | 6.62178i | 0.0745466 | − | 0.229431i | ||||
\(834\) | −15.2320 | − | 11.0667i | −0.527442 | − | 0.383209i | ||||
\(835\) | 3.02690 | 0.104750 | ||||||||
\(836\) | 10.2272 | + | 4.41430i | 0.353716 | + | 0.152672i | ||||
\(837\) | 3.69859 | 0.127842 | ||||||||
\(838\) | 14.7426 | + | 10.7111i | 0.509275 | + | 0.370010i | ||||
\(839\) | −9.22019 | + | 28.3768i | −0.318316 | + | 0.979677i | 0.656052 | + | 0.754716i | \(0.272225\pi\) |
−0.974368 | + | 0.224961i | \(0.927775\pi\) | |||||||
\(840\) | 0.0404093 | + | 0.124367i | 0.00139425 | + | 0.00429107i | ||||
\(841\) | −27.6372 | + | 20.0796i | −0.953006 | + | 0.692399i | ||||
\(842\) | −29.1940 | + | 21.2107i | −1.00609 | + | 0.730968i | ||||
\(843\) | −10.2275 | − | 31.4769i | −0.352253 | − | 1.08412i | ||||
\(844\) | 3.59709 | − | 11.0707i | 0.123817 | − | 0.381070i | ||||
\(845\) | −0.419311 | − | 0.304647i | −0.0144247 | − | 0.0104802i | ||||
\(846\) | 17.3346 | 0.595977 | ||||||||
\(847\) | −1.02205 | + | 1.86741i | −0.0351179 | + | 0.0641648i | ||||
\(848\) | −13.8080 | −0.474170 | ||||||||
\(849\) | −34.3052 | − | 24.9242i | −1.17735 | − | 0.855396i | ||||
\(850\) | −1.83440 | + | 5.64571i | −0.0629195 | + | 0.193646i | ||||
\(851\) | −9.26633 | − | 28.5188i | −0.317646 | − | 0.977613i | ||||
\(852\) | −5.11789 | + | 3.71836i | −0.175336 | + | 0.127389i | ||||
\(853\) | −20.3224 | + | 14.7651i | −0.695826 | + | 0.505548i | −0.878570 | − | 0.477613i | \(-0.841502\pi\) |
0.182744 | + | 0.983161i | \(0.441502\pi\) | |||||||
\(854\) | −0.143550 | − | 0.441802i | −0.00491218 | − | 0.0151181i | ||||
\(855\) | 0.339838 | − | 1.04591i | 0.0116222 | − | 0.0357695i | ||||
\(856\) | 49.7579 | + | 36.1512i | 1.70069 | + | 1.23562i | ||||
\(857\) | 41.2563 | 1.40929 | 0.704644 | − | 0.709561i | \(-0.251107\pi\) | ||||
0.704644 | + | 0.709561i | \(0.251107\pi\) | |||||||
\(858\) | −19.8288 | − | 8.55857i | −0.676945 | − | 0.292185i | ||||
\(859\) | 43.7534 | 1.49285 | 0.746423 | − | 0.665472i | \(-0.231770\pi\) | ||||
0.746423 | + | 0.665472i | \(0.231770\pi\) | |||||||
\(860\) | 0.298523 | + | 0.216890i | 0.0101796 | + | 0.00739589i | ||||
\(861\) | −0.451211 | + | 1.38869i | −0.0153772 | + | 0.0473263i | ||||
\(862\) | 0.899483 | + | 2.76832i | 0.0306365 | + | 0.0942895i | ||||
\(863\) | 4.06545 | − | 2.95372i | 0.138390 | − | 0.100546i | −0.516437 | − | 0.856325i | \(-0.672742\pi\) |
0.654826 | + | 0.755780i | \(0.272742\pi\) | |||||||
\(864\) | −14.3463 | + | 10.4232i | −0.488072 | + | 0.354605i | ||||
\(865\) | 0.344537 | + | 1.06038i | 0.0117146 | + | 0.0360539i | ||||
\(866\) | −0.968728 | + | 2.98144i | −0.0329187 | + | 0.101313i | ||||
\(867\) | −1.09676 | − | 0.796845i | −0.0372480 | − | 0.0270623i | ||||
\(868\) | 0.0730039 | 0.00247791 | ||||||||
\(869\) | 6.42196 | + | 10.8357i | 0.217850 | + | 0.367575i | ||||
\(870\) | −2.08508 | −0.0706909 | ||||||||
\(871\) | 17.1501 | + | 12.4603i | 0.581111 | + | 0.422202i | ||||
\(872\) | −2.80735 | + | 8.64013i | −0.0950688 | + | 0.292592i | ||||
\(873\) | 3.63200 | + | 11.1782i | 0.122925 | + | 0.378323i | ||||
\(874\) | 53.0987 | − | 38.5784i | 1.79609 | − | 1.30494i | ||||
\(875\) | 0.253201 | − | 0.183961i | 0.00855976 | − | 0.00621903i | ||||
\(876\) | −1.22085 | − | 3.75738i | −0.0412486 | − | 0.126950i | ||||
\(877\) | 0.387309 | − | 1.19201i | 0.0130785 | − | 0.0402515i | −0.944304 | − | 0.329074i | \(-0.893264\pi\) |
0.957383 | + | 0.288822i | \(0.0932636\pi\) | |||||||
\(878\) | −12.1505 | − | 8.82783i | −0.410058 | − | 0.297925i | ||||
\(879\) | 23.1418 | 0.780552 | ||||||||
\(880\) | −0.894486 | + | 1.01652i | −0.0301531 | + | 0.0342669i | ||||
\(881\) | 15.7916 | 0.532032 | 0.266016 | − | 0.963969i | \(-0.414293\pi\) | ||||
0.266016 | + | 0.963969i | \(0.414293\pi\) | |||||||
\(882\) | 7.81303 | + | 5.67650i | 0.263078 | + | 0.191138i | ||||
\(883\) | 1.47395 | − | 4.53635i | 0.0496023 | − | 0.152660i | −0.923187 | − | 0.384350i | \(-0.874426\pi\) |
0.972790 | + | 0.231690i | \(0.0744255\pi\) | |||||||
\(884\) | 0.715702 | + | 2.20271i | 0.0240717 | + | 0.0740850i | ||||
\(885\) | 2.35979 | − | 1.71449i | 0.0793235 | − | 0.0576319i | ||||
\(886\) | 14.9674 | − | 10.8745i | 0.502840 | − | 0.365334i | ||||
\(887\) | 4.15504 | + | 12.7879i | 0.139513 | + | 0.429376i | 0.996265 | − | 0.0863528i | \(-0.0275212\pi\) |
−0.856752 | + | 0.515729i | \(0.827521\pi\) | |||||||
\(888\) | 4.09808 | − | 12.6126i | 0.137523 | − | 0.423251i | ||||
\(889\) | 2.63972 | + | 1.91787i | 0.0885333 | + | 0.0643232i | ||||
\(890\) | 1.47493 | 0.0494398 | ||||||||
\(891\) | 1.28643 | − | 13.7470i | 0.0430970 | − | 0.460540i | ||||
\(892\) | −9.13697 | −0.305929 | ||||||||
\(893\) | 59.0062 | + | 42.8705i | 1.97457 | + | 1.43461i | ||||
\(894\) | 2.03828 | − | 6.27317i | 0.0681702 | − | 0.209806i | ||||
\(895\) | −0.135188 | − | 0.416066i | −0.00451884 | − | 0.0139076i | ||||
\(896\) | 0.657822 | − | 0.477936i | 0.0219763 | − | 0.0159667i | ||||
\(897\) | 41.5909 | − | 30.2176i | 1.38868 | − | 1.00893i | ||||
\(898\) | −3.22085 | − | 9.91276i | −0.107481 | − | 0.330793i | ||||
\(899\) | −1.60980 | + | 4.95446i | −0.0536899 | + | 0.165240i | ||||
\(900\) | 2.69116 | + | 1.95524i | 0.0897053 | + | 0.0651747i | ||||
\(901\) | −5.48412 | −0.182703 | ||||||||
\(902\) | −21.4956 | + | 4.82607i | −0.715726 | + | 0.160691i | ||||
\(903\) | 1.03745 | 0.0345243 | ||||||||
\(904\) | −24.7966 | − | 18.0158i | −0.824723 | − | 0.599196i | ||||
\(905\) | 0.344980 | − | 1.06174i | 0.0114675 | − | 0.0352934i | ||||
\(906\) | 2.65286 | + | 8.16467i | 0.0881355 | + | 0.271253i | ||||
\(907\) | 34.3492 | − | 24.9561i | 1.14055 | − | 0.828655i | 0.153351 | − | 0.988172i | \(-0.450994\pi\) |
0.987195 | + | 0.159517i | \(0.0509936\pi\) | |||||||
\(908\) | −3.39699 | + | 2.46806i | −0.112733 | + | 0.0819053i | ||||
\(909\) | −3.84669 | − | 11.8389i | −0.127587 | − | 0.392672i | ||||
\(910\) | −0.0465775 | + | 0.143351i | −0.00154403 | + | 0.00475203i | ||||
\(911\) | −5.18588 | − | 3.76776i | −0.171816 | − | 0.124832i | 0.498554 | − | 0.866859i | \(-0.333865\pi\) |
−0.670370 | + | 0.742027i | \(0.733865\pi\) | |||||||
\(912\) | 19.9204 | 0.659631 | ||||||||
\(913\) | 18.5020 | − | 4.15395i | 0.612326 | − | 0.137476i | ||||
\(914\) | 17.1175 | 0.566198 | ||||||||
\(915\) | −0.357659 | − | 0.259855i | −0.0118238 | − | 0.00859053i | ||||
\(916\) | 1.67292 | − | 5.14873i | 0.0552750 | − | 0.170119i | ||||
\(917\) | −0.594189 | − | 1.82873i | −0.0196218 | − | 0.0603898i | ||||
\(918\) | 5.44832 | − | 3.95844i | 0.179821 | − | 0.130648i | ||||
\(919\) | 23.9576 | − | 17.4062i | 0.790289 | − | 0.574179i | −0.117760 | − | 0.993042i | \(-0.537571\pi\) |
0.908049 | + | 0.418863i | \(0.137571\pi\) | |||||||
\(920\) | −1.45131 | − | 4.46667i | −0.0478482 | − | 0.147262i | ||||
\(921\) | −4.79566 | + | 14.7595i | −0.158022 | + | 0.486343i | ||||
\(922\) | 4.74506 | + | 3.44749i | 0.156270 | + | 0.113537i | ||||
\(923\) | −32.6323 | −1.07410 | ||||||||
\(924\) | 0.0466573 | − | 0.498586i | 0.00153491 | − | 0.0164023i | ||||
\(925\) | −15.8282 | −0.520427 | ||||||||
\(926\) | 20.5478 | + | 14.9289i | 0.675243 | + | 0.490593i | ||||
\(927\) | 1.54895 | − | 4.76717i | 0.0508741 | − | 0.156574i | ||||
\(928\) | −7.71825 | − | 23.7543i | −0.253364 | − | 0.779774i | ||||
\(929\) | −49.1161 | + | 35.6849i | −1.61145 | + | 1.17078i | −0.752741 | + | 0.658317i | \(0.771269\pi\) |
−0.858706 | + | 0.512468i | \(0.828731\pi\) | |||||||
\(930\) | −0.139129 | + | 0.101083i | −0.00456223 | + | 0.00331465i | ||||
\(931\) | 12.5565 | + | 38.6450i | 0.411523 | + | 1.26654i | ||||
\(932\) | 2.10109 | − | 6.46650i | 0.0688236 | − | 0.211817i | ||||
\(933\) | −5.14941 | − | 3.74127i | −0.168584 | − | 0.122484i | ||||
\(934\) | −14.4130 | −0.471607 | ||||||||
\(935\) | −0.355262 | + | 0.403730i | −0.0116183 | + | 0.0132034i | ||||
\(936\) | −14.3769 | −0.469922 | ||||||||
\(937\) | −3.68585 | − | 2.67793i | −0.120412 | − | 0.0874841i | 0.525950 | − | 0.850516i | \(-0.323710\pi\) |
−0.646361 | + | 0.763032i | \(0.723710\pi\) | |||||||
\(938\) | 0.375973 | − | 1.15713i | 0.0122760 | − | 0.0377815i | ||||
\(939\) | −11.8403 | − | 36.4405i | −0.386392 | − | 1.18919i | ||||
\(940\) | 0.943471 | − | 0.685472i | 0.0307726 | − | 0.0223576i | ||||
\(941\) | 25.1899 | − | 18.3015i | 0.821167 | − | 0.596613i | −0.0958795 | − | 0.995393i | \(-0.530566\pi\) |
0.917047 | + | 0.398780i | \(0.130566\pi\) | |||||||
\(942\) | 9.60332 | + | 29.5560i | 0.312893 | + | 0.962985i | ||||
\(943\) | 16.2053 | − | 49.8749i | 0.527718 | − | 1.62415i | ||||
\(944\) | −27.0292 | − | 19.6379i | −0.879726 | − | 0.639159i | ||||
\(945\) | −0.177061 | −0.00575981 | ||||||||
\(946\) | 7.98073 | + | 13.4658i | 0.259476 | + | 0.437810i | ||||
\(947\) | −15.7144 | −0.510651 | −0.255325 | − | 0.966855i | \(-0.582183\pi\) | ||||
−0.255325 | + | 0.966855i | \(0.582183\pi\) | |||||||
\(948\) | −2.39707 | − | 1.74158i | −0.0778533 | − | 0.0565637i | ||||
\(949\) | 6.29761 | − | 19.3820i | 0.204429 | − | 0.629168i | ||||
\(950\) | −10.7057 | − | 32.9486i | −0.347337 | − | 1.06899i | ||||
\(951\) | −5.44128 | + | 3.95332i | −0.176445 | + | 0.128195i | ||||
\(952\) | 0.481274 | − | 0.349666i | 0.0155982 | − | 0.0113327i | ||||
\(953\) | −8.52938 | − | 26.2507i | −0.276294 | − | 0.850345i | −0.988874 | − | 0.148754i | \(-0.952474\pi\) |
0.712580 | − | 0.701590i | \(-0.247526\pi\) | |||||||
\(954\) | 2.35062 | − | 7.23447i | 0.0761042 | − | 0.234225i | ||||
\(955\) | 1.82600 | + | 1.32666i | 0.0590878 | + | 0.0429298i | ||||
\(956\) | −7.90354 | −0.255619 | ||||||||
\(957\) | 32.8081 | + | 14.1607i | 1.06053 | + | 0.457751i | ||||
\(958\) | −19.7488 | −0.638054 | ||||||||
\(959\) | −1.54952 | − | 1.12579i | −0.0500366 | − | 0.0363537i | ||||
\(960\) | 0.596854 | − | 1.83693i | 0.0192634 | − | 0.0592866i | ||||
\(961\) | −9.44675 | − | 29.0741i | −0.304734 | − | 0.937875i | ||||
\(962\) | 12.3666 | − | 8.98486i | 0.398715 | − | 0.289683i | ||||
\(963\) | −18.8118 | + | 13.6676i | −0.606202 | + | 0.440431i | ||||
\(964\) | 2.28561 | + | 7.03440i | 0.0736147 | + | 0.226563i | ||||
\(965\) | 0.584268 | − | 1.79819i | 0.0188082 | − | 0.0578858i | ||||
\(966\) | −2.38705 | − | 1.73430i | −0.0768022 | − | 0.0558001i | ||||
\(967\) | 41.8082 | 1.34446 | 0.672230 | − | 0.740343i | \(-0.265337\pi\) | ||||
0.672230 | + | 0.740343i | \(0.265337\pi\) | |||||||
\(968\) | 30.5679 | − | 14.4544i | 0.982490 | − | 0.464583i | ||||
\(969\) | 7.91177 | 0.254163 | ||||||||
\(970\) | −1.58344 | − | 1.15044i | −0.0508413 | − | 0.0369383i | ||||
\(971\) | 10.1330 | − | 31.1863i | 0.325184 | − | 1.00081i | −0.646173 | − | 0.763191i | \(-0.723631\pi\) |
0.971357 | − | 0.237624i | \(-0.0763685\pi\) | |||||||
\(972\) | −2.00670 | − | 6.17598i | −0.0643649 | − | 0.198095i | ||||
\(973\) | 1.82185 | − | 1.32365i | 0.0584057 | − | 0.0424342i | ||||
\(974\) | −14.8464 | + | 10.7865i | −0.475708 | + | 0.345622i | ||||
\(975\) | −8.38548 | − | 25.8079i | −0.268550 | − | 0.826513i | ||||
\(976\) | −1.56478 | + | 4.81591i | −0.0500875 | + | 0.154153i | ||||
\(977\) | 46.1922 | + | 33.5606i | 1.47782 | + | 1.07370i | 0.978251 | + | 0.207423i | \(0.0665076\pi\) |
0.499567 | + | 0.866275i | \(0.333492\pi\) | |||||||
\(978\) | 0.634283 | 0.0202821 | ||||||||
\(979\) | −23.2075 | − | 10.0169i | −0.741716 | − | 0.320142i | ||||
\(980\) | 0.649707 | 0.0207541 | ||||||||
\(981\) | −2.77869 | − | 2.01884i | −0.0887167 | − | 0.0644565i | ||||
\(982\) | −1.25068 | + | 3.84919i | −0.0399107 | + | 0.122833i | ||||
\(983\) | 5.61747 | + | 17.2888i | 0.179169 | + | 0.551427i | 0.999799 | − | 0.0200334i | \(-0.00637724\pi\) |
−0.820630 | + | 0.571460i | \(0.806377\pi\) | |||||||
\(984\) | 18.7632 | − | 13.6322i | 0.598148 | − | 0.434580i | ||||
\(985\) | −0.199628 | + | 0.145038i | −0.00636069 | + | 0.00462131i | ||||
\(986\) | 2.93117 | + | 9.02121i | 0.0933474 | + | 0.287294i | ||||
\(987\) | 1.01321 | − | 3.11835i | 0.0322509 | − | 0.0992581i | ||||
\(988\) | −10.9352 | − | 7.94488i | −0.347895 | − | 0.252760i | ||||
\(989\) | −37.2603 | −1.18481 | ||||||||
\(990\) | −0.380314 | − | 0.641698i | −0.0120872 | − | 0.0203945i | ||||
\(991\) | 35.5365 | 1.12885 | 0.564427 | − | 0.825483i | \(-0.309097\pi\) | ||||
0.564427 | + | 0.825483i | \(0.309097\pi\) | |||||||
\(992\) | −1.66660 | − | 1.21086i | −0.0529147 | − | 0.0384448i | ||||
\(993\) | −12.7405 | + | 39.2114i | −0.404309 | + | 1.24433i | ||||
\(994\) | 0.578754 | + | 1.78122i | 0.0183570 | + | 0.0564969i | ||||
\(995\) | −1.34169 | + | 0.974792i | −0.0425343 | + | 0.0309030i | ||||
\(996\) | −3.60872 | + | 2.62189i | −0.114347 | + | 0.0830777i | ||||
\(997\) | 3.09280 | + | 9.51865i | 0.0979499 | + | 0.301459i | 0.988011 | − | 0.154382i | \(-0.0493387\pi\) |
−0.890061 | + | 0.455841i | \(0.849339\pi\) | |||||||
\(998\) | 2.49557 | − | 7.68056i | 0.0789958 | − | 0.243124i | ||||
\(999\) | 14.5272 | + | 10.5546i | 0.459619 | + | 0.333933i |
(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 | 187.2.g.e.103.2 | yes | 8 | |
11.3 | even | 5 | inner | 187.2.g.e.69.2 | ✓ | 8 | |
11.5 | even | 5 | 2057.2.a.u.1.1 | 4 | |||
11.6 | odd | 10 | 2057.2.a.r.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.g.e.69.2 | ✓ | 8 | 11.3 | even | 5 | inner | |
187.2.g.e.103.2 | yes | 8 | 1.1 | even | 1 | trivial | |
2057.2.a.r.1.4 | 4 | 11.6 | odd | 10 | |||
2057.2.a.u.1.1 | 4 | 11.5 | even | 5 |