Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 43.6 | ||
Character | \(\chi\) | \(=\) | 81.43 |
Dual form | 81.2.g.a.49.6 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.423731 | + | 1.41536i | 0.299623 | + | 1.00081i | 0.966720 | + | 0.255839i | \(0.0823516\pi\) |
−0.667097 | + | 0.744971i | \(0.732463\pi\) | |||||||
\(3\) | −0.469594 | − | 1.66718i | −0.271120 | − | 0.962545i | ||||
\(4\) | −0.152717 | + | 0.100444i | −0.0763585 | + | 0.0502218i | ||||
\(5\) | 1.03062 | + | 2.38925i | 0.460908 | + | 1.06851i | 0.977244 | + | 0.212119i | \(0.0680365\pi\) |
−0.516335 | + | 0.856386i | \(0.672704\pi\) | |||||||
\(6\) | 2.16067 | − | 1.37108i | 0.882091 | − | 0.559740i | ||||
\(7\) | 0.0288073 | − | 0.494602i | 0.0108881 | − | 0.186942i | −0.988479 | − | 0.151360i | \(-0.951635\pi\) |
0.999367 | − | 0.0355817i | \(-0.0113284\pi\) | |||||||
\(8\) | 2.05667 | + | 1.72575i | 0.727144 | + | 0.610146i | ||||
\(9\) | −2.55896 | + | 1.56579i | −0.852988 | + | 0.521931i | ||||
\(10\) | −2.94494 | + | 2.47110i | −0.931272 | + | 0.781430i | ||||
\(11\) | −3.26995 | − | 4.39230i | −0.985926 | − | 1.32433i | −0.945666 | − | 0.325139i | \(-0.894589\pi\) |
−0.0402595 | − | 0.999189i | \(-0.512818\pi\) | |||||||
\(12\) | 0.239172 | + | 0.207439i | 0.0690431 | + | 0.0598824i | ||||
\(13\) | −3.85880 | − | 4.09009i | −1.07024 | − | 1.13439i | −0.990492 | − | 0.137572i | \(-0.956070\pi\) |
−0.0797468 | − | 0.996815i | \(-0.525411\pi\) | |||||||
\(14\) | 0.712246 | − | 0.168805i | 0.190356 | − | 0.0451152i | ||||
\(15\) | 3.49933 | − | 2.84021i | 0.903524 | − | 0.733339i | ||||
\(16\) | −1.71588 | + | 3.97786i | −0.428971 | + | 0.994466i | ||||
\(17\) | 0.861719 | + | 4.88705i | 0.208998 | + | 1.18528i | 0.891024 | + | 0.453956i | \(0.149988\pi\) |
−0.682026 | + | 0.731327i | \(0.738901\pi\) | |||||||
\(18\) | −3.30047 | − | 2.95838i | −0.777928 | − | 0.697296i | ||||
\(19\) | −0.156770 | + | 0.889086i | −0.0359655 | + | 0.203970i | −0.997496 | − | 0.0707293i | \(-0.977467\pi\) |
0.961530 | + | 0.274700i | \(0.0885784\pi\) | |||||||
\(20\) | −0.397378 | − | 0.261360i | −0.0888565 | − | 0.0584418i | ||||
\(21\) | −0.838118 | + | 0.184236i | −0.182892 | + | 0.0402035i | ||||
\(22\) | 4.83110 | − | 6.48930i | 1.02999 | − | 1.38352i | ||||
\(23\) | −0.0340686 | − | 0.584934i | −0.00710378 | − | 0.121967i | −0.999996 | − | 0.00294740i | \(-0.999062\pi\) |
0.992892 | − | 0.119020i | \(-0.0379752\pi\) | |||||||
\(24\) | 1.91134 | − | 4.23924i | 0.390150 | − | 0.865332i | ||||
\(25\) | −1.21513 | + | 1.28796i | −0.243026 | + | 0.257593i | ||||
\(26\) | 4.15385 | − | 7.19468i | 0.814637 | − | 1.41099i | ||||
\(27\) | 3.81213 | + | 3.53096i | 0.733645 | + | 0.679533i | ||||
\(28\) | 0.0452802 | + | 0.0784277i | 0.00855716 | + | 0.0148214i | ||||
\(29\) | −3.61020 | − | 0.855633i | −0.670397 | − | 0.158887i | −0.118698 | − | 0.992930i | \(-0.537872\pi\) |
−0.551699 | + | 0.834043i | \(0.686020\pi\) | |||||||
\(30\) | 5.50269 | + | 3.74933i | 1.00465 | + | 0.684530i | ||||
\(31\) | −1.54191 | − | 0.774375i | −0.276935 | − | 0.139082i | 0.304911 | − | 0.952381i | \(-0.401373\pi\) |
−0.581846 | + | 0.813299i | \(0.697669\pi\) | |||||||
\(32\) | −1.02389 | − | 0.119675i | −0.181000 | − | 0.0211558i | ||||
\(33\) | −5.78720 | + | 7.51418i | −1.00742 | + | 1.30805i | ||||
\(34\) | −6.55179 | + | 3.29043i | −1.12362 | + | 0.564305i | ||||
\(35\) | 1.21142 | − | 0.440920i | 0.204767 | − | 0.0745292i | ||||
\(36\) | 0.233523 | − | 0.496155i | 0.0389205 | − | 0.0826924i | ||||
\(37\) | 5.72681 | + | 2.08439i | 0.941482 | + | 0.342671i | 0.766751 | − | 0.641945i | \(-0.221872\pi\) |
0.174731 | + | 0.984616i | \(0.444094\pi\) | |||||||
\(38\) | −1.32480 | + | 0.154847i | −0.214912 | + | 0.0251196i | ||||
\(39\) | −5.00684 | + | 8.35399i | −0.801735 | + | 1.33771i | ||||
\(40\) | −2.00361 | + | 6.69251i | −0.316798 | + | 1.05818i | ||||
\(41\) | 0.0677639 | − | 0.226347i | 0.0105829 | − | 0.0353495i | −0.952535 | − | 0.304429i | \(-0.901534\pi\) |
0.963118 | + | 0.269080i | \(0.0867195\pi\) | |||||||
\(42\) | −0.615895 | − | 1.10817i | −0.0950347 | − | 0.170995i | ||||
\(43\) | 8.96483 | − | 1.04784i | 1.36712 | − | 0.159794i | 0.599336 | − | 0.800498i | \(-0.295431\pi\) |
0.767788 | + | 0.640704i | \(0.221357\pi\) | |||||||
\(44\) | 0.940554 | + | 0.342334i | 0.141794 | + | 0.0516088i | ||||
\(45\) | −6.37840 | − | 4.50026i | −0.950836 | − | 0.670860i | ||||
\(46\) | 0.813456 | − | 0.296074i | 0.119938 | − | 0.0436537i | ||||
\(47\) | −2.02853 | + | 1.01877i | −0.295891 | + | 0.148602i | −0.590552 | − | 0.807000i | \(-0.701090\pi\) |
0.294660 | + | 0.955602i | \(0.404793\pi\) | |||||||
\(48\) | 7.43757 | + | 0.992700i | 1.07352 | + | 0.143284i | ||||
\(49\) | 6.70887 | + | 0.784154i | 0.958410 | + | 0.112022i | ||||
\(50\) | −2.33782 | − | 1.17410i | −0.330618 | − | 0.166042i | ||||
\(51\) | 7.74292 | − | 3.73157i | 1.08423 | − | 0.522524i | ||||
\(52\) | 1.00013 | + | 0.237035i | 0.138693 | + | 0.0328708i | ||||
\(53\) | −0.273896 | − | 0.474403i | −0.0376226 | − | 0.0651642i | 0.846601 | − | 0.532228i | \(-0.178645\pi\) |
−0.884224 | + | 0.467064i | \(0.845312\pi\) | |||||||
\(54\) | −3.38226 | + | 6.89171i | −0.460267 | + | 0.937842i | ||||
\(55\) | 7.12423 | − | 12.3395i | 0.960631 | − | 1.66386i | ||||
\(56\) | 0.912809 | − | 0.967521i | 0.121979 | − | 0.129290i | ||||
\(57\) | 1.55588 | − | 0.156146i | 0.206082 | − | 0.0206821i | ||||
\(58\) | −0.318724 | − | 5.47228i | −0.0418505 | − | 0.718546i | ||||
\(59\) | −6.46469 | + | 8.68359i | −0.841631 | + | 1.13051i | 0.148298 | + | 0.988943i | \(0.452621\pi\) |
−0.989929 | + | 0.141564i | \(0.954787\pi\) | |||||||
\(60\) | −0.249127 | + | 0.785233i | −0.0321621 | + | 0.101373i | ||||
\(61\) | −5.98732 | − | 3.93792i | −0.766598 | − | 0.504199i | 0.104970 | − | 0.994475i | \(-0.466525\pi\) |
−0.871567 | + | 0.490276i | \(0.836896\pi\) | |||||||
\(62\) | 0.442665 | − | 2.51048i | 0.0562186 | − | 0.318831i | ||||
\(63\) | 0.700729 | + | 1.31078i | 0.0882835 | + | 0.165142i | ||||
\(64\) | 1.24008 | + | 7.03282i | 0.155009 | + | 0.879102i | ||||
\(65\) | 5.79529 | − | 13.4350i | 0.718817 | − | 1.66640i | ||||
\(66\) | −13.0875 | − | 5.00697i | −1.61096 | − | 0.616316i | ||||
\(67\) | 5.98360 | − | 1.41814i | 0.731014 | − | 0.173253i | 0.151779 | − | 0.988414i | \(-0.451500\pi\) |
0.579234 | + | 0.815161i | \(0.303352\pi\) | |||||||
\(68\) | −0.622472 | − | 0.659781i | −0.0754858 | − | 0.0800102i | ||||
\(69\) | −0.959191 | + | 0.331480i | −0.115473 | + | 0.0399055i | ||||
\(70\) | 1.13738 | + | 1.52776i | 0.135942 | + | 0.182602i | ||||
\(71\) | 1.42883 | − | 1.19893i | 0.169571 | − | 0.142287i | −0.554053 | − | 0.832482i | \(-0.686919\pi\) |
0.723624 | + | 0.690194i | \(0.242475\pi\) | |||||||
\(72\) | −7.96513 | − | 1.19581i | −0.938699 | − | 0.140928i | ||||
\(73\) | 7.12761 | + | 5.98078i | 0.834224 | + | 0.699997i | 0.956257 | − | 0.292529i | \(-0.0944968\pi\) |
−0.122033 | + | 0.992526i | \(0.538941\pi\) | |||||||
\(74\) | −0.523533 | + | 8.98871i | −0.0608595 | + | 1.04492i | ||||
\(75\) | 2.71788 | + | 1.42102i | 0.313834 | + | 0.164085i | ||||
\(76\) | −0.0653615 | − | 0.151525i | −0.00749748 | − | 0.0173811i | ||||
\(77\) | −2.26664 | + | 1.49079i | −0.258308 | + | 0.169892i | ||||
\(78\) | −13.9454 | − | 3.54663i | −1.57901 | − | 0.401577i | ||||
\(79\) | −1.93686 | − | 6.46955i | −0.217913 | − | 0.727881i | −0.995123 | − | 0.0986395i | \(-0.968551\pi\) |
0.777210 | − | 0.629241i | \(-0.216634\pi\) | |||||||
\(80\) | −11.2725 | −1.26031 | ||||||||
\(81\) | 4.09658 | − | 8.01362i | 0.455176 | − | 0.890402i | ||||
\(82\) | 0.349076 | 0.0385490 | ||||||||
\(83\) | 0.0888320 | + | 0.296719i | 0.00975057 | + | 0.0325692i | 0.962726 | − | 0.270477i | \(-0.0871815\pi\) |
−0.952976 | + | 0.303046i | \(0.901996\pi\) | |||||||
\(84\) | 0.109490 | − | 0.112319i | 0.0119463 | − | 0.0122551i | ||||
\(85\) | −10.7883 | + | 7.09557i | −1.17015 | + | 0.769622i | ||||
\(86\) | 5.28174 | + | 12.2444i | 0.569545 | + | 1.32035i | ||||
\(87\) | 0.268836 | + | 6.42064i | 0.0288223 | + | 0.688365i | ||||
\(88\) | 0.854817 | − | 14.6766i | 0.0911238 | − | 1.56454i | ||||
\(89\) | −11.7618 | − | 9.86931i | −1.24675 | − | 1.04615i | −0.996966 | − | 0.0778431i | \(-0.975197\pi\) |
−0.249782 | − | 0.968302i | \(-0.580359\pi\) | |||||||
\(90\) | 3.66676 | − | 10.9346i | 0.386511 | − | 1.15261i | ||||
\(91\) | −2.13413 | + | 1.79075i | −0.223718 | + | 0.187721i | ||||
\(92\) | 0.0639557 | + | 0.0859075i | 0.00666785 | + | 0.00895647i | ||||
\(93\) | −0.566950 | + | 2.93428i | −0.0587900 | + | 0.304270i | ||||
\(94\) | −2.30147 | − | 2.43941i | −0.237378 | − | 0.251606i | ||||
\(95\) | −2.28582 | + | 0.541750i | −0.234520 | + | 0.0555823i | ||||
\(96\) | 0.281292 | + | 1.76320i | 0.0287092 | + | 0.179956i | ||||
\(97\) | −5.76450 | + | 13.3636i | −0.585296 | + | 1.35687i | 0.326099 | + | 0.945336i | \(0.394266\pi\) |
−0.911395 | + | 0.411533i | \(0.864993\pi\) | |||||||
\(98\) | 1.73289 | + | 9.82772i | 0.175049 | + | 0.992750i | ||||
\(99\) | 15.2451 | + | 6.11967i | 1.53219 | + | 0.615050i | ||||
\(100\) | 0.0562035 | − | 0.318746i | 0.00562035 | − | 0.0318746i | ||||
\(101\) | 5.65923 | + | 3.72213i | 0.563114 | + | 0.370366i | 0.798923 | − | 0.601433i | \(-0.205404\pi\) |
−0.235809 | + | 0.971799i | \(0.575774\pi\) | |||||||
\(102\) | 8.56242 | + | 9.37783i | 0.847806 | + | 0.928544i | ||||
\(103\) | −9.11942 | + | 12.2495i | −0.898564 | + | 1.20698i | 0.0791131 | + | 0.996866i | \(0.474791\pi\) |
−0.977677 | + | 0.210115i | \(0.932616\pi\) | |||||||
\(104\) | −0.877804 | − | 15.0713i | −0.0860758 | − | 1.47786i | ||||
\(105\) | −1.30397 | − | 1.81260i | −0.127254 | − | 0.176891i | ||||
\(106\) | 0.555392 | − | 0.588681i | 0.0539444 | − | 0.0571777i | ||||
\(107\) | 7.68656 | − | 13.3135i | 0.743088 | − | 1.28707i | −0.207995 | − | 0.978130i | \(-0.566694\pi\) |
0.951083 | − | 0.308936i | \(-0.0999728\pi\) | |||||||
\(108\) | −0.936839 | − | 0.156333i | −0.0901474 | − | 0.0150432i | ||||
\(109\) | −7.19648 | − | 12.4647i | −0.689298 | − | 1.19390i | −0.972065 | − | 0.234710i | \(-0.924586\pi\) |
0.282768 | − | 0.959188i | \(-0.408747\pi\) | |||||||
\(110\) | 20.4836 | + | 4.85470i | 1.95304 | + | 0.462878i | ||||
\(111\) | 0.785770 | − | 10.5264i | 0.0745819 | − | 0.999124i | ||||
\(112\) | 1.91803 | + | 0.963271i | 0.181237 | + | 0.0910206i | ||||
\(113\) | 10.7739 | + | 1.25928i | 1.01352 | + | 0.118463i | 0.606605 | − | 0.795003i | \(-0.292531\pi\) |
0.406914 | + | 0.913467i | \(0.366605\pi\) | |||||||
\(114\) | 0.880278 | + | 2.13597i | 0.0824456 | + | 0.200052i | ||||
\(115\) | 1.36244 | − | 0.684245i | 0.127049 | − | 0.0638062i | ||||
\(116\) | 0.637281 | − | 0.231951i | 0.0591701 | − | 0.0215361i | ||||
\(117\) | 16.2788 | + | 4.42430i | 1.50497 | + | 0.409027i | ||||
\(118\) | −15.0297 | − | 5.47036i | −1.38359 | − | 0.503587i | ||||
\(119\) | 2.44197 | − | 0.285425i | 0.223855 | − | 0.0261649i | ||||
\(120\) | 12.0985 | + | 0.197604i | 1.10444 | + | 0.0180387i | ||||
\(121\) | −5.44491 | + | 18.1873i | −0.494992 | + | 1.65339i | ||||
\(122\) | 3.03656 | − | 10.1428i | 0.274917 | − | 0.918288i | ||||
\(123\) | −0.409182 | − | 0.00668314i | −0.0368947 | − | 0.000602599i | ||||
\(124\) | 0.313257 | − | 0.0366144i | 0.0281313 | − | 0.00328807i | ||||
\(125\) | 7.89606 | + | 2.87393i | 0.706245 | + | 0.257052i | ||||
\(126\) | −1.55830 | + | 1.54720i | −0.138824 | + | 0.137835i | ||||
\(127\) | −2.81938 | + | 1.02617i | −0.250180 | + | 0.0910581i | −0.464066 | − | 0.885801i | \(-0.653610\pi\) |
0.213886 | + | 0.976859i | \(0.431388\pi\) | |||||||
\(128\) | −11.2709 | + | 5.66047i | −0.996218 | + | 0.500320i | ||||
\(129\) | −5.95676 | − | 14.4539i | −0.524464 | − | 1.27260i | ||||
\(130\) | 21.4710 | + | 2.50960i | 1.88313 | + | 0.220106i | ||||
\(131\) | −7.26136 | − | 3.64679i | −0.634428 | − | 0.318622i | 0.102358 | − | 0.994748i | \(-0.467361\pi\) |
−0.736786 | + | 0.676126i | \(0.763658\pi\) | |||||||
\(132\) | 0.129052 | − | 1.72883i | 0.0112326 | − | 0.150475i | ||||
\(133\) | 0.435228 | + | 0.103151i | 0.0377391 | + | 0.00894432i | ||||
\(134\) | 4.54261 | + | 7.86804i | 0.392422 | + | 0.679695i | ||||
\(135\) | −4.50748 | + | 12.7472i | −0.387942 | + | 1.09711i | ||||
\(136\) | −6.66157 | + | 11.5382i | −0.571225 | + | 0.989391i | ||||
\(137\) | −3.99590 | + | 4.23541i | −0.341393 | + | 0.361856i | −0.875209 | − | 0.483745i | \(-0.839276\pi\) |
0.533816 | + | 0.845601i | \(0.320758\pi\) | |||||||
\(138\) | −0.875602 | − | 1.21714i | −0.0745362 | − | 0.103610i | ||||
\(139\) | −0.842297 | − | 14.4617i | −0.0714427 | − | 1.22662i | −0.823419 | − | 0.567434i | \(-0.807936\pi\) |
0.751976 | − | 0.659190i | \(-0.229101\pi\) | |||||||
\(140\) | −0.140717 | + | 0.189015i | −0.0118927 | + | 0.0159747i | ||||
\(141\) | 2.65105 | + | 2.90351i | 0.223258 | + | 0.244520i | ||||
\(142\) | 2.30236 | + | 1.51429i | 0.193210 | + | 0.127076i | ||||
\(143\) | −5.34683 | + | 30.3234i | −0.447124 | + | 2.53577i | ||||
\(144\) | −1.83763 | − | 12.8659i | −0.153136 | − | 1.07216i | ||||
\(145\) | −1.67643 | − | 9.50750i | −0.139220 | − | 0.789555i | ||||
\(146\) | −5.44476 | + | 12.6224i | −0.450611 | + | 1.04463i | ||||
\(147\) | −1.84312 | − | 11.5531i | −0.152018 | − | 0.952884i | ||||
\(148\) | −1.08394 | + | 0.256900i | −0.0890997 | + | 0.0211170i | ||||
\(149\) | 2.13093 | + | 2.25866i | 0.174573 | + | 0.185036i | 0.808752 | − | 0.588150i | \(-0.200143\pi\) |
−0.634179 | + | 0.773186i | \(0.718662\pi\) | |||||||
\(150\) | −0.859602 | + | 4.44891i | −0.0701862 | + | 0.363252i | ||||
\(151\) | 5.95791 | + | 8.00287i | 0.484848 | + | 0.651264i | 0.975476 | − | 0.220105i | \(-0.0706400\pi\) |
−0.490628 | + | 0.871369i | \(0.663233\pi\) | |||||||
\(152\) | −1.85677 | + | 1.55801i | −0.150604 | + | 0.126372i | ||||
\(153\) | −9.85722 | − | 11.1565i | −0.796909 | − | 0.901950i | ||||
\(154\) | −3.07045 | − | 2.57641i | −0.247424 | − | 0.207613i | ||||
\(155\) | 0.261052 | − | 4.48210i | 0.0209682 | − | 0.360011i | ||||
\(156\) | −0.0744753 | − | 1.77870i | −0.00596279 | − | 0.142410i | ||||
\(157\) | −4.93701 | − | 11.4453i | −0.394017 | − | 0.913433i | −0.993583 | − | 0.113108i | \(-0.963919\pi\) |
0.599566 | − | 0.800325i | \(-0.295340\pi\) | |||||||
\(158\) | 8.33602 | − | 5.48269i | 0.663178 | − | 0.436179i | ||||
\(159\) | −0.662293 | + | 0.679411i | −0.0525233 | + | 0.0538808i | ||||
\(160\) | −0.769308 | − | 2.56967i | −0.0608191 | − | 0.203150i | ||||
\(161\) | −0.290291 | −0.0228782 | ||||||||
\(162\) | 13.0780 | + | 2.40252i | 1.02750 | + | 0.188759i | ||||
\(163\) | −6.05763 | −0.474470 | −0.237235 | − | 0.971452i | \(-0.576241\pi\) | ||||
−0.237235 | + | 0.971452i | \(0.576241\pi\) | |||||||
\(164\) | 0.0123864 | + | 0.0413735i | 0.000967216 | + | 0.00323073i | ||||
\(165\) | −23.9177 | − | 6.08279i | −1.86199 | − | 0.473544i | ||||
\(166\) | −0.382324 | + | 0.251458i | −0.0296741 | + | 0.0195169i | ||||
\(167\) | −6.89370 | − | 15.9814i | −0.533451 | − | 1.23668i | −0.945532 | − | 0.325530i | \(-0.894457\pi\) |
0.412081 | − | 0.911147i | \(-0.364802\pi\) | |||||||
\(168\) | −2.04168 | − | 1.06747i | −0.157519 | − | 0.0823573i | ||||
\(169\) | −1.08261 | + | 18.5877i | −0.0832776 | + | 1.42982i | ||||
\(170\) | −14.6141 | − | 12.2627i | −1.12085 | − | 0.940505i | ||||
\(171\) | −0.990957 | − | 2.52061i | −0.0757804 | − | 0.192756i | ||||
\(172\) | −1.26383 | + | 1.06048i | −0.0963664 | + | 0.0808610i | ||||
\(173\) | 0.744659 | + | 1.00025i | 0.0566154 | + | 0.0760476i | 0.829529 | − | 0.558463i | \(-0.188609\pi\) |
−0.772914 | + | 0.634511i | \(0.781201\pi\) | |||||||
\(174\) | −8.97360 | + | 3.10112i | −0.680287 | + | 0.235095i | ||||
\(175\) | 0.602025 | + | 0.638110i | 0.0455088 | + | 0.0482366i | ||||
\(176\) | 23.0828 | − | 5.47073i | 1.73993 | − | 0.412372i | ||||
\(177\) | 17.5129 | + | 6.70003i | 1.31635 | + | 0.503605i | ||||
\(178\) | 8.98479 | − | 20.8291i | 0.673438 | − | 1.56121i | ||||
\(179\) | −0.660341 | − | 3.74498i | −0.0493562 | − | 0.279913i | 0.950134 | − | 0.311842i | \(-0.100946\pi\) |
−0.999490 | + | 0.0319291i | \(0.989835\pi\) | |||||||
\(180\) | 1.42611 | + | 0.0465976i | 0.106296 | + | 0.00347318i | ||||
\(181\) | −1.75067 | + | 9.92855i | −0.130126 | + | 0.737983i | 0.848004 | + | 0.529990i | \(0.177804\pi\) |
−0.978130 | + | 0.207993i | \(0.933307\pi\) | |||||||
\(182\) | −3.43885 | − | 2.26176i | −0.254904 | − | 0.167653i | ||||
\(183\) | −3.75360 | + | 11.8311i | −0.277474 | + | 0.874584i | ||||
\(184\) | 0.939385 | − | 1.26181i | 0.0692524 | − | 0.0930221i | ||||
\(185\) | 0.922051 | + | 15.8310i | 0.0677906 | + | 1.16392i | ||||
\(186\) | −4.39329 | + | 0.440905i | −0.322132 | + | 0.0323287i | ||||
\(187\) | 18.6476 | − | 19.7653i | 1.36365 | − | 1.44538i | ||||
\(188\) | 0.207462 | − | 0.359335i | 0.0151307 | − | 0.0262072i | ||||
\(189\) | 1.85624 | − | 1.78377i | 0.135021 | − | 0.129750i | ||||
\(190\) | −1.73534 | − | 3.00570i | −0.125895 | − | 0.218056i | ||||
\(191\) | −0.634339 | − | 0.150341i | −0.0458992 | − | 0.0108783i | 0.207602 | − | 0.978213i | \(-0.433434\pi\) |
−0.253501 | + | 0.967335i | \(0.581582\pi\) | |||||||
\(192\) | 11.1426 | − | 5.37000i | 0.804150 | − | 0.387546i | ||||
\(193\) | 8.97398 | + | 4.50690i | 0.645961 | + | 0.324414i | 0.741442 | − | 0.671017i | \(-0.234142\pi\) |
−0.0954805 | + | 0.995431i | \(0.530439\pi\) | |||||||
\(194\) | −21.3569 | − | 2.49626i | −1.53334 | − | 0.179221i | ||||
\(195\) | −25.1199 | − | 3.35278i | −1.79888 | − | 0.240098i | ||||
\(196\) | −1.10332 | + | 0.554109i | −0.0788086 | + | 0.0395792i | ||||
\(197\) | −3.58166 | + | 1.30362i | −0.255182 | + | 0.0928788i | −0.466444 | − | 0.884551i | \(-0.654465\pi\) |
0.211262 | + | 0.977430i | \(0.432243\pi\) | |||||||
\(198\) | −2.20171 | + | 24.1704i | −0.156469 | + | 1.71771i | ||||
\(199\) | −10.3868 | − | 3.78048i | −0.736299 | − | 0.267991i | −0.0534702 | − | 0.998569i | \(-0.517028\pi\) |
−0.682829 | + | 0.730579i | \(0.739250\pi\) | |||||||
\(200\) | −4.72184 | + | 0.551904i | −0.333884 | + | 0.0390255i | ||||
\(201\) | −5.17416 | − | 9.30978i | −0.364957 | − | 0.656661i | ||||
\(202\) | −2.87016 | + | 9.58702i | −0.201944 | + | 0.674540i | ||||
\(203\) | −0.527198 | + | 1.76096i | −0.0370021 | + | 0.123595i | ||||
\(204\) | −0.807664 | + | 1.34760i | −0.0565478 | + | 0.0943509i | ||||
\(205\) | 0.610639 | − | 0.0713735i | 0.0426489 | − | 0.00498494i | ||||
\(206\) | −21.2016 | − | 7.71676i | −1.47719 | − | 0.537652i | ||||
\(207\) | 1.00307 | + | 1.44348i | 0.0697180 | + | 0.100329i | ||||
\(208\) | 22.8911 | − | 8.33167i | 1.58721 | − | 0.577697i | ||||
\(209\) | 4.41776 | − | 2.21868i | 0.305583 | − | 0.153470i | ||||
\(210\) | 2.01294 | − | 2.61364i | 0.138906 | − | 0.180358i | ||||
\(211\) | −19.1369 | − | 2.23678i | −1.31744 | − | 0.153986i | −0.571829 | − | 0.820373i | \(-0.693766\pi\) |
−0.745606 | + | 0.666387i | \(0.767840\pi\) | |||||||
\(212\) | 0.0894793 | + | 0.0449382i | 0.00614546 | + | 0.00308637i | ||||
\(213\) | −2.66981 | − | 1.81911i | −0.182932 | − | 0.124643i | ||||
\(214\) | 22.1004 | + | 5.23790i | 1.51075 | + | 0.358055i | ||||
\(215\) | 11.7429 | + | 20.3393i | 0.800859 | + | 1.38713i | ||||
\(216\) | 1.74674 | + | 13.8408i | 0.118851 | + | 0.941749i | ||||
\(217\) | −0.427426 | + | 0.740324i | −0.0290156 | + | 0.0502565i | ||||
\(218\) | 14.5926 | − | 15.4673i | 0.988336 | − | 1.04757i | ||||
\(219\) | 6.62393 | − | 14.6915i | 0.447604 | − | 0.992762i | ||||
\(220\) | 0.151435 | + | 2.60004i | 0.0102097 | + | 0.175295i | ||||
\(221\) | 16.6633 | − | 22.3827i | 1.12089 | − | 1.50562i | ||||
\(222\) | 15.2316 | − | 3.34822i | 1.02228 | − | 0.224718i | ||||
\(223\) | 2.75726 | + | 1.81348i | 0.184639 | + | 0.121439i | 0.638464 | − | 0.769652i | \(-0.279570\pi\) |
−0.453824 | + | 0.891091i | \(0.649941\pi\) | |||||||
\(224\) | −0.0886872 | + | 0.502970i | −0.00592566 | + | 0.0336061i | ||||
\(225\) | 1.09279 | − | 5.19850i | 0.0728527 | − | 0.346566i | ||||
\(226\) | 2.78287 | + | 15.7825i | 0.185114 | + | 1.04983i | ||||
\(227\) | −0.798489 | + | 1.85111i | −0.0529976 | + | 0.122862i | −0.942658 | − | 0.333761i | \(-0.891682\pi\) |
0.889660 | + | 0.456623i | \(0.150941\pi\) | |||||||
\(228\) | −0.221926 | + | 0.180125i | −0.0146974 | + | 0.0119290i | ||||
\(229\) | 20.8690 | − | 4.94604i | 1.37906 | − | 0.326843i | 0.526813 | − | 0.849981i | \(-0.323387\pi\) |
0.852248 | + | 0.523138i | \(0.175239\pi\) | |||||||
\(230\) | 1.54576 | + | 1.63841i | 0.101924 | + | 0.108034i | ||||
\(231\) | 3.54982 | + | 3.07882i | 0.233561 | + | 0.202572i | ||||
\(232\) | −5.94839 | − | 7.99007i | −0.390531 | − | 0.524574i | ||||
\(233\) | 7.53018 | − | 6.31858i | 0.493319 | − | 0.413944i | −0.361895 | − | 0.932219i | \(-0.617870\pi\) |
0.855214 | + | 0.518275i | \(0.173426\pi\) | |||||||
\(234\) | 0.635837 | + | 24.9150i | 0.0415660 | + | 1.62874i | ||||
\(235\) | −4.52473 | − | 3.79670i | −0.295161 | − | 0.247669i | ||||
\(236\) | 0.115058 | − | 1.97547i | 0.00748963 | − | 0.128592i | ||||
\(237\) | −9.87635 | + | 6.26714i | −0.641538 | + | 0.407095i | ||||
\(238\) | 1.43872 | + | 3.33532i | 0.0932582 | + | 0.216197i | ||||
\(239\) | −14.0092 | + | 9.21402i | −0.906182 | + | 0.596005i | −0.914778 | − | 0.403958i | \(-0.867634\pi\) |
0.00859578 | + | 0.999963i | \(0.497264\pi\) | |||||||
\(240\) | 5.29352 | + | 18.7933i | 0.341695 | + | 1.21310i | ||||
\(241\) | 2.72280 | + | 9.09478i | 0.175391 | + | 0.585846i | 0.999803 | + | 0.0198561i | \(0.00632082\pi\) |
−0.824412 | + | 0.565990i | \(0.808494\pi\) | |||||||
\(242\) | −28.0487 | −1.80304 | ||||||||
\(243\) | −15.2839 | − | 3.06658i | −0.980459 | − | 0.196721i | ||||
\(244\) | 1.30990 | 0.0838580 | ||||||||
\(245\) | 5.04077 | + | 16.8373i | 0.322043 | + | 1.07570i | ||||
\(246\) | −0.163924 | − | 0.581972i | −0.0104514 | − | 0.0371052i | ||||
\(247\) | 4.24139 | − | 2.78960i | 0.269873 | − | 0.177498i | ||||
\(248\) | −1.83482 | − | 4.25359i | −0.116511 | − | 0.270103i | ||||
\(249\) | 0.452969 | − | 0.287436i | 0.0287057 | − | 0.0182155i | ||||
\(250\) | −0.721841 | + | 12.3935i | −0.0456532 | + | 0.783836i | ||||
\(251\) | 4.66395 | + | 3.91352i | 0.294386 | + | 0.247019i | 0.778003 | − | 0.628260i | \(-0.216233\pi\) |
−0.483617 | + | 0.875280i | \(0.660677\pi\) | |||||||
\(252\) | −0.238672 | − | 0.129794i | −0.0150349 | − | 0.00817625i | ||||
\(253\) | −2.45781 | + | 2.06234i | −0.154521 | + | 0.129658i | ||||
\(254\) | −2.64706 | − | 3.55562i | −0.166091 | − | 0.223099i | ||||
\(255\) | 16.8957 | + | 14.6540i | 1.05805 | + | 0.917666i | ||||
\(256\) | −2.98610 | − | 3.16508i | −0.186631 | − | 0.197817i | ||||
\(257\) | 4.19373 | − | 0.993933i | 0.261598 | − | 0.0619998i | −0.0977239 | − | 0.995214i | \(-0.531156\pi\) |
0.359322 | + | 0.933214i | \(0.383008\pi\) | |||||||
\(258\) | 17.9334 | − | 14.5555i | 1.11648 | − | 0.906187i | ||||
\(259\) | 1.19592 | − | 2.77245i | 0.0743107 | − | 0.172272i | ||||
\(260\) | 0.464419 | + | 2.63385i | 0.0288020 | + | 0.163344i | ||||
\(261\) | 10.5781 | − | 3.46329i | 0.654768 | − | 0.214372i | ||||
\(262\) | 2.08466 | − | 11.8227i | 0.128791 | − | 0.730408i | ||||
\(263\) | −21.7654 | − | 14.3153i | −1.34211 | − | 0.882720i | −0.343700 | − | 0.939080i | \(-0.611680\pi\) |
−0.998411 | + | 0.0563598i | \(0.982051\pi\) | |||||||
\(264\) | −24.8700 | + | 5.46694i | −1.53064 | + | 0.336467i | ||||
\(265\) | 0.851183 | − | 1.14334i | 0.0522878 | − | 0.0702347i | ||||
\(266\) | 0.0384239 | + | 0.659712i | 0.00235592 | + | 0.0404495i | ||||
\(267\) | −10.9306 | + | 24.2436i | −0.668944 | + | 1.48368i | ||||
\(268\) | −0.771355 | + | 0.817588i | −0.0471180 | + | 0.0499422i | ||||
\(269\) | 13.9432 | − | 24.1504i | 0.850135 | − | 1.47248i | −0.0309512 | − | 0.999521i | \(-0.509854\pi\) |
0.881086 | − | 0.472956i | \(-0.156813\pi\) | |||||||
\(270\) | −19.9518 | − | 0.978312i | −1.21423 | − | 0.0595382i | ||||
\(271\) | 12.0986 | + | 20.9554i | 0.734937 | + | 1.27295i | 0.954751 | + | 0.297406i | \(0.0961214\pi\) |
−0.219815 | + | 0.975542i | \(0.570545\pi\) | |||||||
\(272\) | −20.9186 | − | 4.95780i | −1.26838 | − | 0.300611i | ||||
\(273\) | 3.98767 | + | 2.71705i | 0.241345 | + | 0.164443i | ||||
\(274\) | −7.68781 | − | 3.86096i | −0.464438 | − | 0.233249i | ||||
\(275\) | 9.63054 | + | 1.12565i | 0.580743 | + | 0.0678792i | ||||
\(276\) | 0.113190 | − | 0.146967i | 0.00681322 | − | 0.00884639i | ||||
\(277\) | 7.10908 | − | 3.57031i | 0.427143 | − | 0.214519i | −0.222222 | − | 0.974996i | \(-0.571331\pi\) |
0.649365 | + | 0.760477i | \(0.275035\pi\) | |||||||
\(278\) | 20.1116 | − | 7.32001i | 1.20621 | − | 0.439025i | ||||
\(279\) | 5.15820 | − | 0.432712i | 0.308813 | − | 0.0259058i | ||||
\(280\) | 3.25241 | + | 1.18378i | 0.194369 | + | 0.0707445i | ||||
\(281\) | 5.66003 | − | 0.661562i | 0.337649 | − | 0.0394655i | 0.0544208 | − | 0.998518i | \(-0.482669\pi\) |
0.283228 | + | 0.959053i | \(0.408595\pi\) | |||||||
\(282\) | −2.98618 | + | 4.98249i | −0.177824 | + | 0.296703i | ||||
\(283\) | 0.488199 | − | 1.63070i | 0.0290204 | − | 0.0969349i | −0.942252 | − | 0.334903i | \(-0.891296\pi\) |
0.971273 | + | 0.237968i | \(0.0764815\pi\) | |||||||
\(284\) | −0.0977819 | + | 0.326614i | −0.00580229 | + | 0.0193810i | ||||
\(285\) | 1.97660 | + | 3.55647i | 0.117084 | + | 0.210667i | ||||
\(286\) | −45.1841 | + | 5.28126i | −2.67179 | + | 0.312287i | ||||
\(287\) | −0.110000 | − | 0.0400366i | −0.00649308 | − | 0.00236329i | ||||
\(288\) | 2.80748 | − | 1.29695i | 0.165432 | − | 0.0764237i | ||||
\(289\) | −7.16593 | + | 2.60818i | −0.421525 | + | 0.153423i | ||||
\(290\) | 12.7462 | − | 6.40137i | 0.748481 | − | 0.375901i | ||||
\(291\) | 24.9865 | + | 3.33497i | 1.46473 | + | 0.195499i | ||||
\(292\) | −1.68924 | − | 0.197444i | −0.0988552 | − | 0.0115545i | ||||
\(293\) | −8.74112 | − | 4.38996i | −0.510662 | − | 0.256464i | 0.174759 | − | 0.984611i | \(-0.444085\pi\) |
−0.685421 | + | 0.728147i | \(0.740382\pi\) | |||||||
\(294\) | 15.5708 | − | 7.50408i | 0.908108 | − | 0.437647i | ||||
\(295\) | −27.4099 | − | 6.49627i | −1.59587 | − | 0.378228i | ||||
\(296\) | 8.18104 | + | 14.1700i | 0.475513 | + | 0.823613i | ||||
\(297\) | 3.04357 | − | 28.2901i | 0.176606 | − | 1.64156i | ||||
\(298\) | −2.29387 | + | 3.97310i | −0.132880 | + | 0.230155i | ||||
\(299\) | −2.26097 | + | 2.39649i | −0.130755 | + | 0.138593i | ||||
\(300\) | −0.557799 | + | 0.0559800i | −0.0322045 | + | 0.00323201i | ||||
\(301\) | −0.260011 | − | 4.46421i | −0.0149868 | − | 0.257313i | ||||
\(302\) | −8.80238 | + | 11.8236i | −0.506520 | + | 0.680374i | ||||
\(303\) | 3.54792 | − | 11.1828i | 0.203822 | − | 0.642437i | ||||
\(304\) | −3.26766 | − | 2.14918i | −0.187413 | − | 0.123264i | ||||
\(305\) | 3.23802 | − | 18.3637i | 0.185408 | − | 1.05150i | ||||
\(306\) | 11.6137 | − | 18.6789i | 0.663908 | − | 1.06780i | ||||
\(307\) | −4.19072 | − | 23.7667i | −0.239177 | − | 1.35644i | −0.833636 | − | 0.552314i | \(-0.813745\pi\) |
0.594460 | − | 0.804125i | \(-0.297366\pi\) | |||||||
\(308\) | 0.196414 | − | 0.455339i | 0.0111917 | − | 0.0259453i | ||||
\(309\) | 24.7045 | + | 9.45140i | 1.40539 | + | 0.537671i | ||||
\(310\) | 6.45439 | − | 1.52972i | 0.366585 | − | 0.0868821i | ||||
\(311\) | 1.44081 | + | 1.52717i | 0.0817011 | + | 0.0865981i | 0.766934 | − | 0.641726i | \(-0.221781\pi\) |
−0.685233 | + | 0.728324i | \(0.740300\pi\) | |||||||
\(312\) | −24.7144 | + | 8.54086i | −1.39917 | + | 0.483531i | ||||
\(313\) | 4.04725 | + | 5.43640i | 0.228764 | + | 0.307283i | 0.901653 | − | 0.432460i | \(-0.142354\pi\) |
−0.672889 | + | 0.739743i | \(0.734947\pi\) | |||||||
\(314\) | 14.1072 | − | 11.8374i | 0.796117 | − | 0.668021i | ||||
\(315\) | −2.40959 | + | 3.02513i | −0.135765 | + | 0.170447i | ||||
\(316\) | 0.945615 | + | 0.793465i | 0.0531950 | + | 0.0446359i | ||||
\(317\) | −0.297695 | + | 5.11123i | −0.0167202 | + | 0.287075i | 0.979575 | + | 0.201078i | \(0.0644446\pi\) |
−0.996295 | + | 0.0859970i | \(0.972592\pi\) | |||||||
\(318\) | −1.24224 | − | 0.649495i | −0.0696616 | − | 0.0364219i | ||||
\(319\) | 8.04696 | + | 18.6549i | 0.450543 | + | 1.04448i | ||||
\(320\) | −15.5251 | + | 10.2110i | −0.867881 | + | 0.570814i | ||||
\(321\) | −25.8055 | − | 6.56291i | −1.44033 | − | 0.366306i | ||||
\(322\) | −0.123005 | − | 0.410867i | −0.00685482 | − | 0.0228967i | ||||
\(323\) | −4.48010 | −0.249279 | ||||||||
\(324\) | 0.179299 | + | 1.63529i | 0.00996103 | + | 0.0908494i | ||||
\(325\) | 9.95684 | 0.552306 | ||||||||
\(326\) | −2.56680 | − | 8.57372i | −0.142162 | − | 0.474854i | ||||
\(327\) | −17.4014 | + | 17.8511i | −0.962299 | + | 0.987170i | ||||
\(328\) | 0.529988 | − | 0.348578i | 0.0292637 | − | 0.0192470i | ||||
\(329\) | 0.445447 | + | 1.03266i | 0.0245583 | + | 0.0569325i | ||||
\(330\) | −1.52533 | − | 36.4296i | −0.0839665 | − | 2.00538i | ||||
\(331\) | −0.0974311 | + | 1.67283i | −0.00535530 | + | 0.0919469i | −0.999927 | − | 0.0121097i | \(-0.996145\pi\) |
0.994571 | + | 0.104057i | \(0.0331823\pi\) | |||||||
\(332\) | −0.0433697 | − | 0.0363915i | −0.00238022 | − | 0.00199724i | ||||
\(333\) | −17.9184 | + | 3.63313i | −0.981923 | + | 0.199094i | ||||
\(334\) | 19.6983 | − | 16.5289i | 1.07784 | − | 0.904419i | ||||
\(335\) | 9.55513 | + | 12.8348i | 0.522053 | + | 0.701238i | ||||
\(336\) | 0.705248 | − | 3.65004i | 0.0384744 | − | 0.199126i | ||||
\(337\) | −12.8480 | − | 13.6181i | −0.699874 | − | 0.741824i | 0.275760 | − | 0.961227i | \(-0.411071\pi\) |
−0.975634 | + | 0.219403i | \(0.929589\pi\) | |||||||
\(338\) | −26.7670 | + | 6.34388i | −1.45593 | + | 0.345062i | ||||
\(339\) | −2.95989 | − | 18.5533i | −0.160759 | − | 1.00768i | ||||
\(340\) | 0.934850 | − | 2.16723i | 0.0506994 | − | 0.117534i | ||||
\(341\) | 1.64067 | + | 9.30469i | 0.0888471 | + | 0.503877i | ||||
\(342\) | 3.14767 | − | 2.47062i | 0.170206 | − | 0.133596i | ||||
\(343\) | 1.18334 | − | 6.71103i | 0.0638941 | − | 0.362362i | ||||
\(344\) | 20.2460 | + | 13.3160i | 1.09159 | + | 0.717952i | ||||
\(345\) | −1.78055 | − | 1.95012i | −0.0958618 | − | 0.104991i | ||||
\(346\) | −1.10018 | + | 1.47780i | −0.0591459 | + | 0.0794468i | ||||
\(347\) | 0.733611 | + | 12.5956i | 0.0393823 | + | 0.676168i | 0.959009 | + | 0.283375i | \(0.0914541\pi\) |
−0.919627 | + | 0.392793i | \(0.871509\pi\) | |||||||
\(348\) | −0.685968 | − | 0.953538i | −0.0367717 | − | 0.0511150i | ||||
\(349\) | −12.9598 | + | 13.7366i | −0.693721 | + | 0.735302i | −0.974479 | − | 0.224477i | \(-0.927933\pi\) |
0.280758 | + | 0.959779i | \(0.409414\pi\) | |||||||
\(350\) | −0.648058 | + | 1.12247i | −0.0346401 | + | 0.0599985i | ||||
\(351\) | −0.268316 | − | 29.2172i | −0.0143217 | − | 1.55950i | ||||
\(352\) | 2.82241 | + | 4.88856i | 0.150435 | + | 0.260561i | ||||
\(353\) | 8.96196 | + | 2.12402i | 0.476997 | + | 0.113050i | 0.462080 | − | 0.886838i | \(-0.347103\pi\) |
0.0149173 | + | 0.999889i | \(0.495251\pi\) | |||||||
\(354\) | −2.06221 | + | 27.6260i | −0.109605 | + | 1.46830i | ||||
\(355\) | 4.33714 | + | 2.17819i | 0.230191 | + | 0.115606i | ||||
\(356\) | 2.78753 | + | 0.325816i | 0.147739 | + | 0.0172682i | ||||
\(357\) | −1.62259 | − | 3.93716i | −0.0858766 | − | 0.208377i | ||||
\(358\) | 5.02069 | − | 2.52148i | 0.265351 | − | 0.133265i | ||||
\(359\) | −13.4793 | + | 4.90607i | −0.711411 | + | 0.258932i | −0.672275 | − | 0.740301i | \(-0.734683\pi\) |
−0.0391360 | + | 0.999234i | \(0.512461\pi\) | |||||||
\(360\) | −5.35194 | − | 20.2631i | −0.282072 | − | 1.06796i | ||||
\(361\) | 17.0883 | + | 6.21962i | 0.899382 | + | 0.327348i | ||||
\(362\) | −14.7943 | + | 1.72920i | −0.777570 | + | 0.0908849i | ||||
\(363\) | 32.8783 | + | 0.536999i | 1.72566 | + | 0.0281851i | ||||
\(364\) | 0.146049 | − | 0.487837i | 0.00765504 | − | 0.0255696i | ||||
\(365\) | −6.94370 | + | 23.1936i | −0.363450 | + | 1.21401i | ||||
\(366\) | −18.3358 | − | 0.299478i | −0.958429 | − | 0.0156540i | ||||
\(367\) | 7.08569 | − | 0.828198i | 0.369870 | − | 0.0432316i | 0.0708721 | − | 0.997485i | \(-0.477422\pi\) |
0.298998 | + | 0.954254i | \(0.403348\pi\) | |||||||
\(368\) | 2.38525 | + | 0.868159i | 0.124340 | + | 0.0452559i | ||||
\(369\) | 0.181008 | + | 0.685318i | 0.00942288 | + | 0.0356762i | ||||
\(370\) | −22.0159 | + | 8.01312i | −1.14455 | + | 0.416582i | ||||
\(371\) | −0.242531 | + | 0.121804i | −0.0125916 | + | 0.00632373i | ||||
\(372\) | −0.208146 | − | 0.505060i | −0.0107919 | − | 0.0261862i | ||||
\(373\) | −34.2212 | − | 3.99988i | −1.77191 | − | 0.207106i | −0.833471 | − | 0.552563i | \(-0.813650\pi\) |
−0.938435 | + | 0.345457i | \(0.887724\pi\) | |||||||
\(374\) | 35.8766 | + | 18.0179i | 1.85513 | + | 0.931683i | ||||
\(375\) | 1.08341 | − | 14.5137i | 0.0559470 | − | 0.749485i | ||||
\(376\) | −5.93016 | − | 1.40547i | −0.305825 | − | 0.0724817i | ||||
\(377\) | 10.4314 | + | 18.0677i | 0.537245 | + | 0.930536i | ||||
\(378\) | 3.31122 | + | 1.87140i | 0.170311 | + | 0.0962546i | ||||
\(379\) | −3.66451 | + | 6.34713i | −0.188233 | + | 0.326030i | −0.944661 | − | 0.328047i | \(-0.893609\pi\) |
0.756428 | + | 0.654077i | \(0.226943\pi\) | |||||||
\(380\) | 0.294668 | − | 0.312330i | 0.0151162 | − | 0.0160222i | ||||
\(381\) | 3.03478 | + | 4.21853i | 0.155476 | + | 0.216122i | ||||
\(382\) | −0.0560023 | − | 0.961522i | −0.00286533 | − | 0.0491957i | ||||
\(383\) | −12.7646 | + | 17.1459i | −0.652243 | + | 0.876114i | −0.998065 | − | 0.0621862i | \(-0.980193\pi\) |
0.345822 | + | 0.938300i | \(0.387600\pi\) | |||||||
\(384\) | 14.7298 | + | 16.1325i | 0.751675 | + | 0.823258i | ||||
\(385\) | −5.89793 | − | 3.87913i | −0.300586 | − | 0.197699i | ||||
\(386\) | −2.57633 | + | 14.6111i | −0.131132 | + | 0.743686i | ||||
\(387\) | −21.3000 | + | 16.7185i | −1.08274 | + | 0.849847i | ||||
\(388\) | −0.461951 | − | 2.61986i | −0.0234520 | − | 0.133003i | ||||
\(389\) | −7.21296 | + | 16.7215i | −0.365712 | + | 0.847815i | 0.631652 | + | 0.775252i | \(0.282377\pi\) |
−0.997364 | + | 0.0725630i | \(0.976882\pi\) | |||||||
\(390\) | −5.89870 | − | 36.9744i | −0.298692 | − | 1.87227i | ||||
\(391\) | 2.82925 | − | 0.670544i | 0.143081 | − | 0.0339109i | ||||
\(392\) | 12.4447 | + | 13.1906i | 0.628552 | + | 0.666226i | ||||
\(393\) | −2.66996 | + | 13.8185i | −0.134682 | + | 0.697050i | ||||
\(394\) | −3.36274 | − | 4.51695i | −0.169412 | − | 0.227560i | ||||
\(395\) | 13.4612 | − | 11.2953i | 0.677307 | − | 0.568328i | ||||
\(396\) | −2.94287 | + | 0.596695i | −0.147885 | + | 0.0299850i | ||||
\(397\) | 24.5024 | + | 20.5600i | 1.22974 | + | 1.03188i | 0.998256 | + | 0.0590372i | \(0.0188031\pi\) |
0.231486 | + | 0.972838i | \(0.425641\pi\) | |||||||
\(398\) | 0.949537 | − | 16.3029i | 0.0475960 | − | 0.817191i | ||||
\(399\) | −0.0324096 | − | 0.774042i | −0.00162251 | − | 0.0387506i | ||||
\(400\) | −3.03832 | − | 7.04362i | −0.151916 | − | 0.352181i | ||||
\(401\) | 33.4417 | − | 21.9950i | 1.67000 | − | 1.09838i | 0.816217 | − | 0.577745i | \(-0.196067\pi\) |
0.853782 | − | 0.520630i | \(-0.174303\pi\) | |||||||
\(402\) | 10.9842 | − | 11.2681i | 0.547844 | − | 0.562003i | ||||
\(403\) | 2.78265 | + | 9.29470i | 0.138614 | + | 0.463002i | ||||
\(404\) | −1.23812 | −0.0615990 | ||||||||
\(405\) | 23.3686 | + | 1.52875i | 1.16119 | + | 0.0759641i | ||||
\(406\) | −2.71579 | −0.134782 | ||||||||
\(407\) | −9.57110 | − | 31.9697i | −0.474422 | − | 1.58468i | ||||
\(408\) | 22.3644 | + | 5.68776i | 1.10720 | + | 0.281586i | ||||
\(409\) | 18.5373 | − | 12.1922i | 0.916611 | − | 0.602865i | −0.00114931 | − | 0.999999i | \(-0.500366\pi\) |
0.917760 | + | 0.397135i | \(0.129995\pi\) | |||||||
\(410\) | 0.359765 | + | 0.834030i | 0.0177676 | + | 0.0411898i | ||||
\(411\) | 8.93764 | + | 4.67296i | 0.440861 | + | 0.230500i | ||||
\(412\) | 0.162307 | − | 2.78670i | 0.00799627 | − | 0.137291i | ||||
\(413\) | 4.10869 | + | 3.44760i | 0.202176 | + | 0.169645i | ||||
\(414\) | −1.61801 | + | 2.03135i | −0.0795210 | + | 0.0998352i | ||||
\(415\) | −0.617385 | + | 0.518048i | −0.0303062 | + | 0.0254300i | ||||
\(416\) | 3.46150 | + | 4.64960i | 0.169714 | + | 0.227965i | ||||
\(417\) | −23.7147 | + | 8.19538i | −1.16131 | + | 0.401329i | ||||
\(418\) | 5.01217 | + | 5.31259i | 0.245153 | + | 0.259847i | ||||
\(419\) | −27.3160 | + | 6.47400i | −1.33447 | + | 0.316276i | −0.835093 | − | 0.550108i | \(-0.814586\pi\) |
−0.499379 | + | 0.866384i | \(0.666438\pi\) | |||||||
\(420\) | 0.381202 | + | 0.145839i | 0.0186007 | + | 0.00711622i | ||||
\(421\) | 5.16795 | − | 11.9807i | 0.251870 | − | 0.583901i | −0.744631 | − | 0.667476i | \(-0.767375\pi\) |
0.996501 | + | 0.0835750i | \(0.0266338\pi\) | |||||||
\(422\) | −4.94303 | − | 28.0333i | −0.240623 | − | 1.36464i | ||||
\(423\) | 3.59575 | − | 5.78324i | 0.174831 | − | 0.281191i | ||||
\(424\) | 0.255387 | − | 1.44837i | 0.0124027 | − | 0.0703390i | ||||
\(425\) | −7.34145 | − | 4.82855i | −0.356112 | − | 0.234219i | ||||
\(426\) | 1.44341 | − | 4.54954i | 0.0699334 | − | 0.220426i | ||||
\(427\) | −2.12018 | + | 2.84790i | −0.102603 | + | 0.137820i | ||||
\(428\) | 0.163388 | + | 2.80526i | 0.00789766 | + | 0.135598i | ||||
\(429\) | 53.0653 | − | 5.32557i | 2.56202 | − | 0.257121i | ||||
\(430\) | −23.8116 | + | 25.2388i | −1.14830 | + | 1.21712i | ||||
\(431\) | 6.22218 | − | 10.7771i | 0.299712 | − | 0.519116i | −0.676358 | − | 0.736573i | \(-0.736443\pi\) |
0.976070 | + | 0.217457i | \(0.0697762\pi\) | |||||||
\(432\) | −20.5868 | + | 9.10542i | −0.990485 | + | 0.438085i | ||||
\(433\) | 0.963724 | + | 1.66922i | 0.0463136 | + | 0.0802176i | 0.888253 | − | 0.459355i | \(-0.151919\pi\) |
−0.841939 | + | 0.539572i | \(0.818586\pi\) | |||||||
\(434\) | −1.22894 | − | 0.291264i | −0.0589909 | − | 0.0139811i | ||||
\(435\) | −15.0635 | + | 7.25957i | −0.722238 | + | 0.348070i | ||||
\(436\) | 2.35102 | + | 1.18073i | 0.112593 | + | 0.0565465i | ||||
\(437\) | 0.525398 | + | 0.0614102i | 0.0251332 | + | 0.00293765i | ||||
\(438\) | 23.6006 | + | 3.14999i | 1.12768 | + | 0.150512i | ||||
\(439\) | −7.44321 | + | 3.73812i | −0.355245 | + | 0.178411i | −0.617467 | − | 0.786597i | \(-0.711841\pi\) |
0.262222 | + | 0.965008i | \(0.415545\pi\) | |||||||
\(440\) | 35.9472 | − | 13.0837i | 1.71372 | − | 0.623741i | ||||
\(441\) | −18.3956 | + | 8.49808i | −0.875979 | + | 0.404671i | ||||
\(442\) | 38.7402 | + | 14.1003i | 1.84268 | + | 0.670682i | ||||
\(443\) | 29.2486 | − | 3.41868i | 1.38964 | − | 0.162426i | 0.611865 | − | 0.790962i | \(-0.290420\pi\) |
0.777780 | + | 0.628536i | \(0.216346\pi\) | |||||||
\(444\) | 0.937311 | + | 1.68649i | 0.0444828 | + | 0.0800373i | ||||
\(445\) | 11.4583 | − | 38.2734i | 0.543176 | − | 1.81433i | ||||
\(446\) | −1.39838 | + | 4.67093i | −0.0662154 | + | 0.221175i | ||||
\(447\) | 2.76491 | − | 4.61330i | 0.130776 | − | 0.218201i | ||||
\(448\) | 3.51417 | − | 0.410748i | 0.166029 | − | 0.0194060i | ||||
\(449\) | −30.8060 | − | 11.2125i | −1.45383 | − | 0.529149i | −0.510169 | − | 0.860074i | \(-0.670417\pi\) |
−0.943657 | + | 0.330925i | \(0.892639\pi\) | |||||||
\(450\) | 7.82079 | − | 0.656073i | 0.368675 | − | 0.0309276i | ||||
\(451\) | −1.21577 | + | 0.442504i | −0.0572483 | + | 0.0208367i | ||||
\(452\) | −1.77184 | + | 0.889850i | −0.0833402 | + | 0.0418550i | ||||
\(453\) | 10.5444 | − | 13.6910i | 0.495419 | − | 0.643259i | ||||
\(454\) | −2.95832 | − | 0.345778i | −0.138841 | − | 0.0162282i | ||||
\(455\) | −6.47803 | − | 3.25339i | −0.303695 | − | 0.152521i | ||||
\(456\) | 3.46941 | + | 2.36393i | 0.162470 | + | 0.110701i | ||||
\(457\) | −30.4136 | − | 7.20815i | −1.42269 | − | 0.337183i | −0.553988 | − | 0.832524i | \(-0.686895\pi\) |
−0.868698 | + | 0.495341i | \(0.835043\pi\) | |||||||
\(458\) | 15.8432 | + | 27.4413i | 0.740306 | + | 1.28225i | ||||
\(459\) | −13.9710 | + | 21.6728i | −0.652110 | + | 1.01160i | ||||
\(460\) | −0.139340 | + | 0.241344i | −0.00649677 | + | 0.0112527i | ||||
\(461\) | −16.4870 | + | 17.4752i | −0.767877 | + | 0.813903i | −0.986818 | − | 0.161836i | \(-0.948259\pi\) |
0.218940 | + | 0.975738i | \(0.429740\pi\) | |||||||
\(462\) | −2.85348 | + | 6.32886i | −0.132756 | + | 0.294445i | ||||
\(463\) | 2.21358 | + | 38.0057i | 0.102874 | + | 1.76627i | 0.516935 | + | 0.856025i | \(0.327073\pi\) |
−0.414061 | + | 0.910249i | \(0.635890\pi\) | |||||||
\(464\) | 9.59827 | − | 12.8927i | 0.445588 | − | 0.598529i | ||||
\(465\) | −7.59504 | + | 1.66955i | −0.352211 | + | 0.0774233i | ||||
\(466\) | 12.1338 | + | 7.98054i | 0.562088 | + | 0.369691i | ||||
\(467\) | 1.00160 | − | 5.68035i | 0.0463485 | − | 0.262855i | −0.952824 | − | 0.303523i | \(-0.901837\pi\) |
0.999173 | + | 0.0406671i | \(0.0129483\pi\) | |||||||
\(468\) | −2.93044 | + | 0.959431i | −0.135459 | + | 0.0443497i | ||||
\(469\) | −0.529044 | − | 3.00036i | −0.0244290 | − | 0.138544i | ||||
\(470\) | 3.45643 | − | 8.01290i | 0.159433 | − | 0.369607i | ||||
\(471\) | −16.7629 | + | 13.6055i | −0.772395 | + | 0.626909i | ||||
\(472\) | −28.2815 | + | 6.70284i | −1.30176 | + | 0.308523i | ||||
\(473\) | −33.9169 | − | 35.9498i | −1.55950 | − | 1.65298i | ||||
\(474\) | −13.0552 | − | 11.3230i | −0.599644 | − | 0.520082i | ||||
\(475\) | −0.954615 | − | 1.28227i | −0.0438007 | − | 0.0588346i | ||||
\(476\) | −0.344261 | + | 0.288869i | −0.0157792 | + | 0.0132403i | ||||
\(477\) | 1.44371 | + | 0.785113i | 0.0661028 | + | 0.0359479i | ||||
\(478\) | −18.9773 | − | 15.9238i | −0.868000 | − | 0.728339i | ||||
\(479\) | 1.31580 | − | 22.5914i | 0.0601205 | − | 1.03223i | −0.824484 | − | 0.565886i | \(-0.808534\pi\) |
0.884604 | − | 0.466343i | \(-0.154429\pi\) | |||||||
\(480\) | −3.92283 | + | 2.48927i | −0.179052 | + | 0.113619i | ||||
\(481\) | −13.5733 | − | 31.4664i | −0.618889 | − | 1.43474i | ||||
\(482\) | −11.7186 | + | 7.70747i | −0.533770 | + | 0.351066i | ||||
\(483\) | 0.136319 | + | 0.483967i | 0.00620274 | + | 0.0220213i | ||||
\(484\) | −0.995264 | − | 3.32441i | −0.0452393 | − | 0.151110i | ||||
\(485\) | −37.8700 | −1.71959 | ||||||||
\(486\) | −2.13592 | − | 22.9315i | −0.0968875 | − | 1.04020i | ||||
\(487\) | −22.8018 | −1.03325 | −0.516624 | − | 0.856212i | \(-0.672811\pi\) | ||||
−0.516624 | + | 0.856212i | \(0.672811\pi\) | |||||||
\(488\) | −5.51808 | − | 18.4317i | −0.249792 | − | 0.834362i | ||||
\(489\) | 2.84463 | + | 10.0991i | 0.128638 | + | 0.456699i | ||||
\(490\) | −21.6949 | + | 14.2690i | −0.980078 | + | 0.644607i | ||||
\(491\) | −0.677026 | − | 1.56952i | −0.0305537 | − | 0.0708315i | 0.902256 | − | 0.431201i | \(-0.141910\pi\) |
−0.932810 | + | 0.360369i | \(0.882651\pi\) | |||||||
\(492\) | 0.0631604 | − | 0.0400791i | 0.00284749 | − | 0.00180690i | ||||
\(493\) | 1.07054 | − | 18.3805i | 0.0482149 | − | 0.827818i | ||||
\(494\) | 5.74549 | + | 4.82104i | 0.258502 | + | 0.216909i | ||||
\(495\) | 1.09052 | + | 42.7315i | 0.0490151 | + | 1.92064i | ||||
\(496\) | 5.72609 | − | 4.80476i | 0.257109 | − | 0.215740i | ||||
\(497\) | −0.551834 | − | 0.741242i | −0.0247532 | − | 0.0332493i | ||||
\(498\) | 0.598762 | + | 0.519318i | 0.0268312 | + | 0.0232712i | ||||
\(499\) | 12.0640 | + | 12.7871i | 0.540060 | + | 0.572430i | 0.938725 | − | 0.344666i | \(-0.112008\pi\) |
−0.398665 | + | 0.917096i | \(0.630526\pi\) | |||||||
\(500\) | −1.49453 | + | 0.354210i | −0.0668374 | + | 0.0158408i | ||||
\(501\) | −23.4066 | + | 18.9978i | −1.04573 | + | 0.848759i | ||||
\(502\) | −3.56278 | + | 8.25945i | −0.159015 | + | 0.368637i | ||||
\(503\) | 1.61077 | + | 9.13515i | 0.0718208 | + | 0.407316i | 0.999430 | + | 0.0337636i | \(0.0107493\pi\) |
−0.927609 | + | 0.373553i | \(0.878140\pi\) | |||||||
\(504\) | −0.820906 | + | 3.90512i | −0.0365661 | + | 0.173948i | ||||
\(505\) | −3.06058 | + | 17.3574i | −0.136194 | + | 0.772396i | ||||
\(506\) | −3.96040 | − | 2.60480i | −0.176061 | − | 0.115797i | ||||
\(507\) | 31.4973 | − | 6.92376i | 1.39885 | − | 0.307495i | ||||
\(508\) | 0.327496 | − | 0.439903i | 0.0145303 | − | 0.0195175i | ||||
\(509\) | −0.0949850 | − | 1.63083i | −0.00421014 | − | 0.0722852i | 0.995549 | − | 0.0942493i | \(-0.0300451\pi\) |
−0.999759 | + | 0.0219641i | \(0.993008\pi\) | |||||||
\(510\) | −13.5814 | + | 30.1228i | −0.601394 | + | 1.33386i | ||||
\(511\) | 3.16343 | − | 3.35304i | 0.139942 | − | 0.148330i | ||||
\(512\) | −9.39806 | + | 16.2779i | −0.415339 | + | 0.719389i | ||||
\(513\) | −3.73695 | + | 2.83576i | −0.164991 | + | 0.125202i | ||||
\(514\) | 3.18378 | + | 5.51448i | 0.140431 | + | 0.243233i | ||||
\(515\) | −38.6658 | − | 9.16397i | −1.70382 | − | 0.403813i | ||||
\(516\) | 2.36150 | + | 1.60904i | 0.103959 | + | 0.0708339i | ||||
\(517\) | 11.1079 | + | 5.57860i | 0.488525 | + | 0.245346i | ||||
\(518\) | 4.43076 | + | 0.517881i | 0.194676 | + | 0.0227544i | ||||
\(519\) | 1.31791 | − | 1.71119i | 0.0578497 | − | 0.0751129i | ||||
\(520\) | 35.1045 | − | 17.6301i | 1.53943 | − | 0.773133i | ||||
\(521\) | 31.0098 | − | 11.2866i | 1.35856 | − | 0.494476i | 0.442953 | − | 0.896545i | \(-0.353931\pi\) |
0.915610 | + | 0.402069i | \(0.131709\pi\) | |||||||
\(522\) | 9.38407 | + | 13.5043i | 0.410730 | + | 0.591068i | ||||
\(523\) | −9.00499 | − | 3.27755i | −0.393761 | − | 0.143317i | 0.137549 | − | 0.990495i | \(-0.456078\pi\) |
−0.531309 | + | 0.847178i | \(0.678300\pi\) | |||||||
\(524\) | 1.47523 | − | 0.172430i | 0.0644457 | − | 0.00753262i | ||||
\(525\) | 0.781135 | − | 1.30334i | 0.0340915 | − | 0.0568822i | ||||
\(526\) | 11.0386 | − | 36.8716i | 0.481308 | − | 1.60768i | ||||
\(527\) | 2.45572 | − | 8.20268i | 0.106973 | − | 0.357314i | ||||
\(528\) | −19.9602 | − | 35.9141i | −0.868657 | − | 1.56296i | ||||
\(529\) | 22.5035 | − | 2.63028i | 0.978413 | − | 0.114360i | ||||
\(530\) | 1.97890 | + | 0.720263i | 0.0859581 | + | 0.0312862i | ||||
\(531\) | 2.94620 | − | 32.3433i | 0.127854 | − | 1.40358i | ||||
\(532\) | −0.0768276 | + | 0.0279629i | −0.00333090 | + | 0.00121235i | ||||
\(533\) | −1.18727 | + | 0.596268i | −0.0514262 | + | 0.0258272i | ||||
\(534\) | −38.9450 | − | 5.19802i | −1.68531 | − | 0.224941i | ||||
\(535\) | 39.7313 | + | 4.64392i | 1.71773 | + | 0.200774i | ||||
\(536\) | 14.7537 | + | 7.40958i | 0.637262 | + | 0.320045i | ||||
\(537\) | −5.93346 | + | 2.85953i | −0.256048 | + | 0.123398i | ||||
\(538\) | 40.0897 | + | 9.50143i | 1.72839 | + | 0.409636i | ||||
\(539\) | −18.4934 | − | 32.0315i | −0.796567 | − | 1.37969i | ||||
\(540\) | −0.592007 | − | 2.39946i | −0.0254759 | − | 0.103256i | ||||
\(541\) | 7.99125 | − | 13.8412i | 0.343571 | − | 0.595082i | −0.641522 | − | 0.767104i | \(-0.721697\pi\) |
0.985093 | + | 0.172023i | \(0.0550302\pi\) | |||||||
\(542\) | −24.5328 | + | 26.0033i | −1.05377 | + | 1.11694i | ||||
\(543\) | 17.3748 | − | 1.74371i | 0.745622 | − | 0.0748297i | ||||
\(544\) | −0.297444 | − | 5.10692i | −0.0127528 | − | 0.218957i | ||||
\(545\) | 22.3644 | − | 30.0406i | 0.957984 | − | 1.28680i | ||||
\(546\) | −2.15590 | + | 6.79528i | −0.0922641 | + | 0.290811i | ||||
\(547\) | 20.6714 | + | 13.5958i | 0.883844 | + | 0.581313i | 0.908268 | − | 0.418388i | \(-0.137405\pi\) |
−0.0244242 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(548\) | 0.184823 | − | 1.04818i | 0.00789524 | − | 0.0447761i | ||||
\(549\) | 21.4873 | + | 0.702088i | 0.917055 | + | 0.0299644i | ||||
\(550\) | 2.48756 | + | 14.1076i | 0.106070 | + | 0.601552i | ||||
\(551\) | 1.32670 | − | 3.07564i | 0.0565194 | − | 0.131027i | ||||
\(552\) | −2.54480 | − | 0.973582i | −0.108314 | − | 0.0414384i | ||||
\(553\) | −3.25565 | + | 0.771603i | −0.138444 | + | 0.0328119i | ||||
\(554\) | 8.06561 | + | 8.54905i | 0.342675 | + | 0.363214i | ||||
\(555\) | 25.9601 | − | 8.97137i | 1.10195 | − | 0.380814i | ||||
\(556\) | 1.58122 | + | 2.12394i | 0.0670585 | + | 0.0900751i | ||||
\(557\) | −23.7887 | + | 19.9611i | −1.00796 | + | 0.845780i | −0.988067 | − | 0.154022i | \(-0.950777\pi\) |
−0.0198942 | + | 0.999802i | \(0.506333\pi\) | |||||||
\(558\) | 2.79813 | + | 7.11735i | 0.118454 | + | 0.301301i | ||||
\(559\) | −38.8792 | − | 32.6236i | −1.64442 | − | 1.37983i | ||||
\(560\) | −0.324732 | + | 5.57543i | −0.0137224 | + | 0.235605i | ||||
\(561\) | −41.7091 | − | 21.8072i | −1.76096 | − | 0.920701i | ||||
\(562\) | 3.33467 | + | 7.73064i | 0.140665 | + | 0.326097i | ||||
\(563\) | 21.2933 | − | 14.0048i | 0.897407 | − | 0.590234i | −0.0148329 | − | 0.999890i | \(-0.504722\pi\) |
0.912240 | + | 0.409656i | \(0.134351\pi\) | |||||||
\(564\) | −0.696499 | − | 0.177135i | −0.0293279 | − | 0.00745872i | ||||
\(565\) | 8.09503 | + | 27.0393i | 0.340560 | + | 1.13755i | ||||
\(566\) | 2.51489 | 0.105709 | ||||||||
\(567\) | −3.84554 | − | 2.25703i | −0.161498 | − | 0.0947863i | ||||
\(568\) | 5.00771 | 0.210119 | ||||||||
\(569\) | 4.75727 | + | 15.8904i | 0.199435 | + | 0.666160i | 0.997939 | + | 0.0641703i | \(0.0204401\pi\) |
−0.798504 | + | 0.601990i | \(0.794375\pi\) | |||||||
\(570\) | −4.19613 | + | 4.30458i | −0.175757 | + | 0.180299i | ||||
\(571\) | 17.2453 | − | 11.3424i | 0.721691 | − | 0.474664i | −0.134769 | − | 0.990877i | \(-0.543029\pi\) |
0.856460 | + | 0.516213i | \(0.172659\pi\) | |||||||
\(572\) | −2.22924 | − | 5.16795i | −0.0932090 | − | 0.216083i | ||||
\(573\) | 0.0472366 | + | 1.12816i | 0.00197334 | + | 0.0471294i | ||||
\(574\) | 0.0100559 | − | 0.172654i | 0.000419727 | − | 0.00720643i | ||||
\(575\) | 0.794772 | + | 0.666893i | 0.0331443 | + | 0.0278114i | ||||
\(576\) | −14.1852 | − | 16.0550i | −0.591052 | − | 0.668959i | ||||
\(577\) | −19.3961 | + | 16.2753i | −0.807470 | + | 0.677548i | −0.950003 | − | 0.312242i | \(-0.898920\pi\) |
0.142532 | + | 0.989790i | \(0.454475\pi\) | |||||||
\(578\) | −6.72794 | − | 9.03719i | −0.279845 | − | 0.375897i | ||||
\(579\) | 3.29968 | − | 17.0776i | 0.137130 | − | 0.709722i | ||||
\(580\) | 1.21099 | + | 1.28357i | 0.0502835 | + | 0.0532974i | ||||
\(581\) | 0.149317 | − | 0.0353888i | 0.00619472 | − | 0.00146818i | ||||
\(582\) | 5.86736 | + | 36.7780i | 0.243210 | + | 1.52450i | ||||
\(583\) | −1.18809 | + | 2.75431i | −0.0492057 | + | 0.114072i | ||||
\(584\) | 4.33782 | + | 24.6010i | 0.179500 | + | 1.01800i | ||||
\(585\) | 6.20649 | + | 43.4538i | 0.256607 | + | 1.79660i | ||||
\(586\) | 2.50948 | − | 14.2320i | 0.103666 | − | 0.587918i | ||||
\(587\) | 35.9312 | + | 23.6323i | 1.48304 | + | 0.975410i | 0.994707 | + | 0.102751i | \(0.0327646\pi\) |
0.488331 | + | 0.872658i | \(0.337606\pi\) | |||||||
\(588\) | 1.44191 | + | 1.57923i | 0.0594634 | + | 0.0651262i | ||||
\(589\) | 0.930211 | − | 1.24949i | 0.0383287 | − | 0.0514844i | ||||
\(590\) | −2.41987 | − | 41.5476i | −0.0996244 | − | 1.71049i | ||||
\(591\) | 3.85528 | + | 5.35909i | 0.158585 | + | 0.220443i | ||||
\(592\) | −18.1180 | + | 19.2039i | −0.744643 | + | 0.789276i | ||||
\(593\) | −6.58096 | + | 11.3986i | −0.270248 | + | 0.468083i | −0.968925 | − | 0.247354i | \(-0.920439\pi\) |
0.698677 | + | 0.715437i | \(0.253772\pi\) | |||||||
\(594\) | 41.3302 | − | 7.67963i | 1.69580 | − | 0.315099i | ||||
\(595\) | 3.19870 | + | 5.54032i | 0.131134 | + | 0.227131i | ||||
\(596\) | −0.552297 | − | 0.130897i | −0.0226230 | − | 0.00536174i | ||||
\(597\) | −1.42516 | + | 19.0919i | −0.0583278 | + | 0.781379i | ||||
\(598\) | −4.34993 | − | 2.18462i | −0.177882 | − | 0.0893357i | ||||
\(599\) | 1.88104 | + | 0.219862i | 0.0768574 | + | 0.00898334i | 0.154435 | − | 0.988003i | \(-0.450644\pi\) |
−0.0775773 | + | 0.996986i | \(0.524718\pi\) | |||||||
\(600\) | 3.13747 | + | 7.61297i | 0.128087 | + | 0.310798i | ||||
\(601\) | −10.4503 | + | 5.24835i | −0.426278 | + | 0.214085i | −0.648986 | − | 0.760800i | \(-0.724807\pi\) |
0.222708 | + | 0.974885i | \(0.428510\pi\) | |||||||
\(602\) | 6.20829 | − | 2.25963i | 0.253031 | − | 0.0920957i | ||||
\(603\) | −13.0913 | + | 12.9981i | −0.533119 | + | 0.529322i | ||||
\(604\) | −1.71371 | − | 0.623740i | −0.0697299 | − | 0.0253796i | ||||
\(605\) | −49.0656 | + | 5.73495i | −1.99480 | + | 0.233159i | ||||
\(606\) | 17.3311 | + | 0.283067i | 0.704027 | + | 0.0114988i | ||||
\(607\) | 13.1359 | − | 43.8769i | 0.533169 | − | 1.78091i | −0.0867363 | − | 0.996231i | \(-0.527644\pi\) |
0.619905 | − | 0.784677i | \(-0.287171\pi\) | |||||||
\(608\) | 0.266917 | − | 0.891564i | 0.0108249 | − | 0.0361577i | ||||
\(609\) | 3.18341 | + | 0.0519944i | 0.128998 | + | 0.00210692i | ||||
\(610\) | 27.3633 | − | 3.19831i | 1.10791 | − | 0.129496i | ||||
\(611\) | 11.9945 | + | 4.36565i | 0.485247 | + | 0.176615i | ||||
\(612\) | 2.62596 | + | 0.713694i | 0.106148 | + | 0.0288494i | ||||
\(613\) | −16.9158 | + | 6.15684i | −0.683222 | + | 0.248672i | −0.660230 | − | 0.751063i | \(-0.729541\pi\) |
−0.0229915 | + | 0.999736i | \(0.507319\pi\) | |||||||
\(614\) | 31.8627 | − | 16.0021i | 1.28587 | − | 0.645790i | ||||
\(615\) | −0.405745 | − | 0.984527i | −0.0163612 | − | 0.0397000i | ||||
\(616\) | −7.23448 | − | 0.845590i | −0.291486 | − | 0.0340698i | ||||
\(617\) | 12.3697 | + | 6.21230i | 0.497985 | + | 0.250098i | 0.680019 | − | 0.733195i | \(-0.261972\pi\) |
−0.182033 | + | 0.983292i | \(0.558268\pi\) | |||||||
\(618\) | −2.90905 | + | 38.9706i | −0.117019 | + | 1.56763i | ||||
\(619\) | 1.00508 | + | 0.238209i | 0.0403977 | + | 0.00957442i | 0.250765 | − | 0.968048i | \(-0.419318\pi\) |
−0.210367 | + | 0.977622i | \(0.567466\pi\) | |||||||
\(620\) | 0.410330 | + | 0.710713i | 0.0164793 | + | 0.0285429i | ||||
\(621\) | 1.93551 | − | 2.35014i | 0.0776691 | − | 0.0943079i | ||||
\(622\) | −1.55098 | + | 2.68638i | −0.0621887 | + | 0.107714i | ||||
\(623\) | −5.22021 | + | 5.53310i | −0.209143 | + | 0.221679i | ||||
\(624\) | −24.6399 | − | 34.2510i | −0.986384 | − | 1.37114i | ||||
\(625\) | 1.78610 | + | 30.6662i | 0.0714440 | + | 1.22665i | ||||
\(626\) | −5.97951 | + | 8.03187i | −0.238989 | + | 0.321018i | ||||
\(627\) | −5.77350 | − | 6.32331i | −0.230571 | − | 0.252529i | ||||
\(628\) | 1.90357 | + | 1.25200i | 0.0759608 | + | 0.0499602i | ||||
\(629\) | −5.25161 | + | 29.7834i | −0.209395 | + | 1.18754i | ||||
\(630\) | −5.30266 | − | 2.12859i | −0.211263 | − | 0.0848049i | ||||
\(631\) | 3.36622 | + | 19.0908i | 0.134007 | + | 0.759992i | 0.975546 | + | 0.219795i | \(0.0705389\pi\) |
−0.841539 | + | 0.540196i | \(0.818350\pi\) | |||||||
\(632\) | 7.18137 | − | 16.6483i | 0.285659 | − | 0.662233i | ||||
\(633\) | 5.25745 | + | 32.9549i | 0.208965 | + | 1.30984i | ||||
\(634\) | −7.36037 | + | 1.74444i | −0.292318 | + | 0.0692805i | ||||
\(635\) | −5.35750 | − | 5.67862i | −0.212606 | − | 0.225349i | ||||
\(636\) | 0.0329010 | − | 0.170281i | 0.00130461 | − | 0.00675207i | ||||
\(637\) | −22.6809 | − | 30.4658i | −0.898651 | − | 1.20710i | ||||
\(638\) | −22.9937 | + | 19.2940i | −0.910329 | + | 0.763857i | ||||
\(639\) | −1.77905 | + | 5.30528i | −0.0703780 | + | 0.209874i | ||||
\(640\) | −25.1403 | − | 21.0953i | −0.993759 | − | 0.833863i | ||||
\(641\) | −1.64444 | + | 28.2340i | −0.0649516 | + | 1.11518i | 0.795603 | + | 0.605818i | \(0.207154\pi\) |
−0.860555 | + | 0.509358i | \(0.829883\pi\) | |||||||
\(642\) | −1.64573 | − | 39.3050i | −0.0649516 | − | 1.55125i | ||||
\(643\) | 12.1029 | + | 28.0576i | 0.477290 | + | 1.10648i | 0.971478 | + | 0.237128i | \(0.0762061\pi\) |
−0.494188 | + | 0.869355i | \(0.664535\pi\) | |||||||
\(644\) | 0.0443324 | − | 0.0291579i | 0.00174694 | − | 0.00114898i | ||||
\(645\) | 28.3948 | − | 29.1287i | 1.11805 | − | 1.14694i | ||||
\(646\) | −1.89836 | − | 6.34095i | −0.0746898 | − | 0.249481i | ||||
\(647\) | −4.92528 | −0.193633 | −0.0968163 | − | 0.995302i | \(-0.530866\pi\) | ||||
−0.0968163 | + | 0.995302i | \(0.530866\pi\) | |||||||
\(648\) | 22.2549 | − | 9.41170i | 0.874253 | − | 0.369727i | ||||
\(649\) | 59.2801 | 2.32695 | ||||||||
\(650\) | 4.21902 | + | 14.0925i | 0.165483 | + | 0.552753i | ||||
\(651\) | 1.43497 | + | 0.364944i | 0.0562408 | + | 0.0143033i | ||||
\(652\) | 0.925103 | − | 0.608450i | 0.0362298 | − | 0.0238287i | ||||
\(653\) | −0.562020 | − | 1.30291i | −0.0219935 | − | 0.0509867i | 0.906865 | − | 0.421420i | \(-0.138468\pi\) |
−0.928859 | + | 0.370434i | \(0.879209\pi\) | |||||||
\(654\) | −32.6393 | − | 17.0651i | −1.27630 | − | 0.667299i | ||||
\(655\) | 1.22938 | − | 21.1077i | 0.0480359 | − | 0.824745i | ||||
\(656\) | 0.784103 | + | 0.657940i | 0.0306141 | + | 0.0256883i | ||||
\(657\) | −27.6040 | − | 4.14421i | −1.07693 | − | 0.161681i | ||||
\(658\) | −1.27284 | + | 1.06804i | −0.0496204 | + | 0.0416365i | ||||
\(659\) | 12.8824 | + | 17.3040i | 0.501825 | + | 0.674068i | 0.978793 | − | 0.204853i | \(-0.0656715\pi\) |
−0.476968 | + | 0.878921i | \(0.658264\pi\) | |||||||
\(660\) | 4.26361 | − | 1.47343i | 0.165961 | − | 0.0573532i | ||||
\(661\) | 7.81878 | + | 8.28742i | 0.304115 | + | 0.322343i | 0.861350 | − | 0.508011i | \(-0.169619\pi\) |
−0.557235 | + | 0.830355i | \(0.688138\pi\) | |||||||
\(662\) | −2.40893 | + | 0.570928i | −0.0936259 | + | 0.0221897i | ||||
\(663\) | −45.1408 | − | 17.2699i | −1.75312 | − | 0.670706i | ||||
\(664\) | −0.329366 | + | 0.763557i | −0.0127819 | + | 0.0296318i | ||||
\(665\) | 0.202102 | + | 1.14618i | 0.00783719 | + | 0.0444469i | ||||
\(666\) | −12.7348 | − | 23.8215i | −0.493462 | − | 0.923065i | ||||
\(667\) | −0.377495 | + | 2.14088i | −0.0146167 | + | 0.0828952i | ||||
\(668\) | 2.65801 | + | 1.74820i | 0.102842 | + | 0.0676400i | ||||
\(669\) | 1.72859 | − | 5.44843i | 0.0668313 | − | 0.210649i | ||||
\(670\) | −14.1170 | + | 18.9624i | −0.545387 | + | 0.732582i | ||||
\(671\) | 2.28168 | + | 39.1749i | 0.0880832 | + | 1.51233i | ||||
\(672\) | 0.880188 | − | 0.0883345i | 0.0339540 | − | 0.00340758i | ||||
\(673\) | 22.7503 | − | 24.1139i | 0.876958 | − | 0.929521i | −0.121048 | − | 0.992647i | \(-0.538625\pi\) |
0.998006 | + | 0.0631257i | \(0.0201069\pi\) | |||||||
\(674\) | 13.8304 | − | 23.9549i | 0.532726 | − | 0.922708i | ||||
\(675\) | −9.17999 | + | 0.619309i | −0.353338 | + | 0.0238372i | ||||
\(676\) | −1.70168 | − | 2.94739i | −0.0654492 | − | 0.113361i | ||||
\(677\) | 11.6878 | + | 2.77006i | 0.449199 | + | 0.106462i | 0.448988 | − | 0.893538i | \(-0.351785\pi\) |
0.000211028 | 1.00000i | \(0.499933\pi\) | ||||||||
\(678\) | 25.0053 | − | 12.0509i | 0.960324 | − | 0.462812i | ||||
\(679\) | 6.44361 | + | 3.23610i | 0.247283 | + | 0.124190i | ||||
\(680\) | −34.4332 | − | 4.02466i | −1.32045 | − | 0.154339i | ||||
\(681\) | 3.46109 | + | 0.461955i | 0.132629 | + | 0.0177021i | ||||
\(682\) | −12.4743 | + | 6.26481i | −0.477665 | + | 0.239892i | ||||
\(683\) | −1.09663 | + | 0.399140i | −0.0419613 | + | 0.0152727i | −0.362916 | − | 0.931822i | \(-0.618219\pi\) |
0.320954 | + | 0.947095i | \(0.395996\pi\) | |||||||
\(684\) | 0.404515 | + | 0.285404i | 0.0154670 | + | 0.0109127i | ||||
\(685\) | −14.2377 | − | 5.18211i | −0.543996 | − | 0.197998i | ||||
\(686\) | 9.99993 | − | 1.16882i | 0.381799 | − | 0.0446259i | ||||
\(687\) | −18.0459 | − | 32.4697i | −0.688493 | − | 1.23880i | ||||
\(688\) | −11.2144 | + | 37.4588i | −0.427546 | + | 1.42810i | ||||
\(689\) | −0.883437 | + | 2.95089i | −0.0336563 | + | 0.112420i | ||||
\(690\) | 2.00564 | − | 3.34645i | 0.0763535 | − | 0.127397i | ||||
\(691\) | 12.6784 | − | 1.48189i | 0.482308 | − | 0.0563737i | 0.128535 | − | 0.991705i | \(-0.458973\pi\) |
0.353773 | + | 0.935331i | \(0.384898\pi\) | |||||||
\(692\) | −0.214191 | − | 0.0779590i | −0.00814231 | − | 0.00296356i | ||||
\(693\) | 3.46597 | − | 7.36397i | 0.131661 | − | 0.279734i | ||||
\(694\) | −17.5165 | + | 6.37547i | −0.664916 | + | 0.242009i | ||||
\(695\) | 33.6845 | − | 16.9170i | 1.27773 | − | 0.641698i | ||||
\(696\) | −10.5275 | + | 13.6691i | −0.399045 | + | 0.518126i | ||||
\(697\) | 1.16456 | + | 0.136118i | 0.0441110 | + | 0.00515583i | ||||
\(698\) | −24.9336 | − | 12.5221i | −0.943752 | − | 0.473970i | ||||
\(699\) | −14.0703 | − | 9.58699i | −0.532188 | − | 0.362613i | ||||
\(700\) | −0.156034 | − | 0.0369806i | −0.00589751 | − | 0.00139774i | ||||
\(701\) | −15.3355 | − | 26.5618i | −0.579213 | − | 1.00323i | −0.995570 | − | 0.0940253i | \(-0.970027\pi\) |
0.416357 | − | 0.909201i | \(-0.363307\pi\) | |||||||
\(702\) | 41.2391 | − | 12.7600i | 1.55647 | − | 0.481595i | ||||
\(703\) | −2.75099 | + | 4.76486i | −0.103756 | + | 0.179710i | ||||
\(704\) | 26.8353 | − | 28.4437i | 1.01139 | − | 1.07201i | ||||
\(705\) | −4.20499 | + | 9.32644i | −0.158369 | + | 0.351254i | ||||
\(706\) | 0.791202 | + | 13.5844i | 0.0297773 | + | 0.511256i | ||||
\(707\) | 2.00400 | − | 2.69184i | 0.0753683 | − | 0.101237i | ||||
\(708\) | −3.34749 | + | 0.735846i | −0.125806 | + | 0.0276548i | ||||
\(709\) | −13.2856 | − | 8.73806i | −0.498950 | − | 0.328165i | 0.274965 | − | 0.961454i | \(-0.411334\pi\) |
−0.773915 | + | 0.633290i | \(0.781704\pi\) | |||||||
\(710\) | −1.24515 | + | 7.06157i | −0.0467295 | + | 0.265016i | ||||
\(711\) | 15.0863 | + | 13.5226i | 0.565781 | + | 0.507138i | ||||
\(712\) | −7.15816 | − | 40.5959i | −0.268263 | − | 1.52140i | ||||
\(713\) | −0.400428 | + | 0.928297i | −0.0149962 | + | 0.0347650i | ||||
\(714\) | 4.88496 | − | 3.96484i | 0.182815 | − | 0.148381i | ||||
\(715\) | −77.9607 | + | 18.4770i | −2.91557 | + | 0.691002i | ||||
\(716\) | 0.477005 | + | 0.505595i | 0.0178265 | + | 0.0188950i | ||||
\(717\) | 21.9401 | + | 19.0290i | 0.819366 | + | 0.710652i | ||||
\(718\) | −12.6554 | − | 16.9992i | −0.472297 | − | 0.634405i | ||||
\(719\) | 1.87986 | − | 1.57739i | 0.0701068 | − | 0.0588266i | −0.607061 | − | 0.794655i | \(-0.707652\pi\) |
0.677168 | + | 0.735829i | \(0.263207\pi\) | |||||||
\(720\) | 28.8460 | − | 17.6505i | 1.07503 | − | 0.657794i | ||||
\(721\) | 5.79593 | + | 4.86337i | 0.215852 | + | 0.181121i | ||||
\(722\) | −1.56217 | + | 26.8215i | −0.0581380 | + | 0.998191i | ||||
\(723\) | 13.8840 | − | 8.81024i | 0.516352 | − | 0.327657i | ||||
\(724\) | −0.729901 | − | 1.69210i | −0.0271266 | − | 0.0628865i | ||||
\(725\) | 5.48889 | − | 3.61010i | 0.203852 | − | 0.134076i | ||||
\(726\) | 13.1715 | + | 46.7622i | 0.488840 | + | 1.73551i | ||||
\(727\) | −11.6059 | − | 38.7666i | −0.430441 | − | 1.43777i | −0.848424 | − | 0.529317i | \(-0.822448\pi\) |
0.417983 | − | 0.908455i | \(-0.362737\pi\) | |||||||
\(728\) | −7.47960 | −0.277212 | ||||||||
\(729\) | 2.06467 | + | 26.9209i | 0.0764694 | + | 0.997072i | ||||
\(730\) | −35.7695 | −1.32389 | ||||||||
\(731\) | 12.8460 | + | 42.9086i | 0.475126 | + | 1.58703i | ||||
\(732\) | −0.615123 | − | 2.18384i | −0.0227356 | − | 0.0807171i | ||||
\(733\) | −30.3376 | + | 19.9534i | −1.12055 | + | 0.736994i | −0.967912 | − | 0.251289i | \(-0.919146\pi\) |
−0.152633 | + | 0.988283i | \(0.548775\pi\) | |||||||
\(734\) | 4.17462 | + | 9.67785i | 0.154088 | + | 0.357216i | ||||
\(735\) | 25.7037 | − | 16.3106i | 0.948096 | − | 0.601624i | ||||
\(736\) | −0.0351199 | + | 0.602985i | −0.00129454 | + | 0.0222263i | ||||
\(737\) | −25.7950 | − | 21.6445i | −0.950169 | − | 0.797287i | ||||
\(738\) | −0.893272 | + | 0.546581i | −0.0328818 | + | 0.0201199i | ||||
\(739\) | 28.2240 | − | 23.6828i | 1.03824 | − | 0.871185i | 0.0464300 | − | 0.998922i | \(-0.485216\pi\) |
0.991808 | + | 0.127736i | \(0.0407711\pi\) | |||||||
\(740\) | −1.73094 | − | 2.32505i | −0.0636305 | − | 0.0854705i | ||||
\(741\) | −6.64249 | − | 5.76116i | −0.244018 | − | 0.211642i | ||||
\(742\) | −0.275164 | − | 0.291656i | −0.0101016 | − | 0.0107070i | ||||
\(743\) | 48.6147 | − | 11.5219i | 1.78350 | − | 0.422697i | 0.799470 | − | 0.600706i | \(-0.205114\pi\) |
0.984029 | + | 0.178009i | \(0.0569656\pi\) | |||||||
\(744\) | −6.22987 | + | 5.05643i | −0.228398 | + | 0.185378i | ||||
\(745\) | −3.20031 | + | 7.41916i | −0.117250 | + | 0.271817i | ||||
\(746\) | −8.83929 | − | 50.1301i | −0.323629 | − | 1.83539i | ||||
\(747\) | −0.691919 | − | 0.620201i | −0.0253160 | − | 0.0226920i | ||||
\(748\) | −0.862509 | + | 4.89153i | −0.0315365 | + | 0.178852i | ||||
\(749\) | −6.36346 | − | 4.18532i | −0.232516 | − | 0.152928i | ||||
\(750\) | 21.0012 | − | 4.61649i | 0.766855 | − | 0.168570i | ||||
\(751\) | 14.5193 | − | 19.5028i | 0.529818 | − | 0.711669i | −0.453968 | − | 0.891018i | \(-0.649992\pi\) |
0.983785 | + | 0.179349i | \(0.0573992\pi\) | |||||||
\(752\) | −0.571792 | − | 9.81729i | −0.0208511 | − | 0.358000i | ||||
\(753\) | 4.33437 | − | 9.61341i | 0.157953 | − | 0.350332i | ||||
\(754\) | −21.1522 | + | 22.4201i | −0.770319 | + | 0.816490i | ||||
\(755\) | −12.9805 | + | 22.4829i | −0.472409 | + | 0.818236i | ||||
\(756\) | −0.104311 | + | 0.458859i | −0.00379374 | + | 0.0166885i | ||||
\(757\) | −12.1062 | − | 20.9685i | −0.440007 | − | 0.762114i | 0.557683 | − | 0.830054i | \(-0.311691\pi\) |
−0.997689 | + | 0.0679403i | \(0.978357\pi\) | |||||||
\(758\) | −10.5362 | − | 2.49713i | −0.382693 | − | 0.0906999i | ||||
\(759\) | 4.59246 | + | 3.12913i | 0.166696 | + | 0.113580i | ||||
\(760\) | −5.63611 | − | 2.83056i | −0.204443 | − | 0.102675i | ||||
\(761\) | 27.6070 | + | 3.22679i | 1.00075 | + | 0.116971i | 0.600661 | − | 0.799504i | \(-0.294904\pi\) |
0.400091 | + | 0.916475i | \(0.368978\pi\) | |||||||
\(762\) | −4.68481 | + | 6.08282i | −0.169713 | + | 0.220357i | ||||
\(763\) | −6.37237 | + | 3.20032i | −0.230695 | + | 0.115859i | ||||
\(764\) | 0.111975 | − | 0.0407556i | 0.00405112 | − | 0.00147449i | ||||
\(765\) | 16.4966 | − | 35.0495i | 0.596437 | − | 1.26722i | ||||
\(766\) | −29.6764 | − | 10.8013i | −1.07225 | − | 0.390267i | ||||
\(767\) | 60.4626 | − | 7.06706i | 2.18318 | − | 0.255177i | ||||
\(768\) | −3.87450 | + | 6.46466i | −0.139809 | + | 0.233273i | ||||
\(769\) | −3.45742 | + | 11.5486i | −0.124678 | + | 0.416453i | −0.997425 | − | 0.0717198i | \(-0.977151\pi\) |
0.872747 | + | 0.488173i | \(0.162336\pi\) | |||||||
\(770\) | 2.99123 | − | 9.99139i | 0.107796 | − | 0.360065i | ||||
\(771\) | −3.62642 | − | 6.52495i | −0.130602 | − | 0.234990i | ||||
\(772\) | −1.82317 | + | 0.213098i | −0.0656172 | + | 0.00766956i | ||||
\(773\) | −31.4818 | − | 11.4584i | −1.13232 | − | 0.412131i | −0.293186 | − | 0.956055i | \(-0.594716\pi\) |
−0.839134 | + | 0.543924i | \(0.816938\pi\) | |||||||
\(774\) | −32.6881 | − | 23.0630i | −1.17495 | − | 0.828981i | ||||
\(775\) | 2.87099 | − | 1.04495i | 0.103129 | − | 0.0375359i | ||||
\(776\) | −34.9180 | + | 17.5365i | −1.25348 | + | 0.629523i | ||||
\(777\) | −5.18376 | − | 0.691882i | −0.185966 | − | 0.0248211i | ||||
\(778\) | −26.7233 | − | 3.12351i | −0.958077 | − | 0.111983i | ||||
\(779\) | 0.190619 | + | 0.0957323i | 0.00682963 | + | 0.00342997i | ||||
\(780\) | 4.17301 | − | 2.01111i | 0.149418 | − | 0.0720092i | ||||
\(781\) | −9.93828 | − | 2.35542i | −0.355620 | − | 0.0842834i | ||||
\(782\) | 2.14790 | + | 3.72027i | 0.0768087 | + | 0.133037i | ||||
\(783\) | −10.7413 | − | 16.0092i | −0.383864 | − | 0.572124i | ||||
\(784\) | −14.6309 | + | 25.3414i | −0.522532 | + | 0.905051i | ||||
\(785\) | 22.2575 | − | 23.5915i | 0.794403 | − | 0.842018i | ||||
\(786\) | −20.6895 | + | 2.07637i | −0.737969 | + | 0.0740616i | ||||
\(787\) | 1.94720 | + | 33.4322i | 0.0694103 | + | 1.19173i | 0.835683 | + | 0.549213i | \(0.185072\pi\) |
−0.766272 | + | 0.642516i | \(0.777891\pi\) | |||||||
\(788\) | 0.416040 | − | 0.558838i | 0.0148208 | − | 0.0199078i | ||||
\(789\) | −13.6453 | + | 43.0091i | −0.485785 | + | 1.53117i | ||||
\(790\) | 21.6908 | + | 14.2663i | 0.771725 | + | 0.507571i | ||||
\(791\) | 0.933210 | − | 5.29250i | 0.0331811 | − | 0.188180i | ||||
\(792\) | 20.7932 | + | 38.8955i | 0.738853 | + | 1.38209i | ||||
\(793\) | 6.99742 | + | 39.6843i | 0.248486 | + | 1.40923i | ||||
\(794\) | −18.7173 | + | 43.3916i | −0.664253 | + | 1.53991i | ||||
\(795\) | −2.30586 | − | 0.882169i | −0.0817803 | − | 0.0312873i | ||||
\(796\) | 1.96596 | − | 0.465941i | 0.0696816 | − | 0.0165149i | ||||
\(797\) | 7.82838 | + | 8.29760i | 0.277296 | + | 0.293916i | 0.851021 | − | 0.525132i | \(-0.175984\pi\) |
−0.573726 | + | 0.819048i | \(0.694502\pi\) | |||||||
\(798\) | 1.08181 | − | 0.373856i | 0.0382958 | − | 0.0132344i | ||||
\(799\) | −6.72678 | − | 9.03563i | −0.237976 | − | 0.319658i | ||||
\(800\) | 1.39830 | − | 1.17331i | 0.0494373 | − | 0.0414828i | ||||
\(801\) | 45.5513 | + | 6.83867i | 1.60948 | + | 0.241632i | ||||
\(802\) | 45.3010 | + | 38.0121i | 1.59963 | + | 1.34225i | ||||
\(803\) | 2.96246 | − | 50.8634i | 0.104543 | − | 1.79493i | ||||
\(804\) | 1.72529 | + | 0.902051i | 0.0608462 | + | 0.0318129i | ||||
\(805\) | −0.299181 | − | 0.693579i | −0.0105447 | − | 0.0244455i | ||||
\(806\) | −11.9762 | + | 7.87690i | −0.421845 | + | 0.277452i | ||||
\(807\) | −46.8107 | − | 11.9050i | −1.64781 | − | 0.419075i | ||||
\(808\) | 5.21570 | + | 17.4216i | 0.183488 | + | 0.612891i | ||||
\(809\) | 20.6051 | 0.724436 | 0.362218 | − | 0.932093i | \(-0.382020\pi\) | ||||
0.362218 | + | 0.932093i | \(0.382020\pi\) | |||||||
\(810\) | 7.73825 | + | 33.7227i | 0.271894 | + | 1.18489i | ||||
\(811\) | −13.3672 | −0.469386 | −0.234693 | − | 0.972070i | \(-0.575408\pi\) | ||||
−0.234693 | + | 0.972070i | \(0.575408\pi\) | |||||||
\(812\) | −0.0963654 | − | 0.321883i | −0.00338176 | − | 0.0112959i | ||||
\(813\) | 29.2549 | − | 30.0110i | 1.02601 | − | 1.05253i | ||||
\(814\) | 41.1930 | − | 27.0931i | 1.44382 | − | 0.949612i | ||||
\(815\) | −6.24313 | − | 14.4732i | −0.218687 | − | 0.506974i | ||||
\(816\) | 1.55772 | + | 37.2032i | 0.0545312 | + | 1.30237i | ||||
\(817\) | −0.473797 | + | 8.13478i | −0.0165760 | + | 0.284600i | ||||
\(818\) | 25.1111 | + | 21.0707i | 0.877990 | + | 0.736721i | ||||
\(819\) | 2.65722 | − | 7.92406i | 0.0928507 | − | 0.276889i | ||||
\(820\) | −0.0860859 | + | 0.0722347i | −0.00300625 | + | 0.00252254i | ||||
\(821\) | 1.08628 | + | 1.45913i | 0.0379116 | + | 0.0509241i | 0.820675 | − | 0.571396i | \(-0.193598\pi\) |
−0.782763 | + | 0.622320i | \(0.786190\pi\) | |||||||
\(822\) | −2.82676 | + | 14.6300i | −0.0985946 | + | 0.510281i | ||||
\(823\) | 31.7119 | + | 33.6126i | 1.10541 | + | 1.17166i | 0.983835 | + | 0.179080i | \(0.0573120\pi\) |
0.121572 | + | 0.992583i | \(0.461207\pi\) | |||||||
\(824\) | −39.8953 | + | 9.45537i | −1.38982 | + | 0.329393i | ||||
\(825\) | −2.64579 | − | 16.5844i | −0.0921145 | − | 0.577395i | ||||
\(826\) | −3.13862 | + | 7.27613i | −0.109206 | + | 0.253169i | ||||
\(827\) | 3.09858 | + | 17.5729i | 0.107748 | + | 0.611070i | 0.990087 | + | 0.140455i | \(0.0448566\pi\) |
−0.882339 | + | 0.470614i | \(0.844032\pi\) | |||||||
\(828\) | −0.298174 | − | 0.119692i | −0.0103623 | − | 0.00415960i | ||||
\(829\) | 4.49900 | − | 25.5151i | 0.156257 | − | 0.886175i | −0.801371 | − | 0.598167i | \(-0.795896\pi\) |
0.957628 | − | 0.288008i | \(-0.0929930\pi\) | |||||||
\(830\) | −0.994828 | − | 0.654309i | −0.0345310 | − | 0.0227114i | ||||
\(831\) | −9.29073 | − | 10.1755i | −0.322292 | − | 0.352984i | ||||
\(832\) | 23.9797 | − | 32.2103i | 0.831345 | − | 1.11669i | ||||
\(833\) | 1.94896 | + | 33.4623i | 0.0675273 | + | 1.15940i | ||||
\(834\) | −21.6480 | − | 30.0921i | −0.749610 | − | 1.04200i | ||||
\(835\) | 31.0788 | − | 32.9416i | 1.07553 | − | 1.13999i | ||||
\(836\) | −0.451815 | + | 0.782566i | −0.0156263 | + | 0.0270656i | ||||
\(837\) | −3.14367 | − | 8.39643i | −0.108661 | − | 0.290223i | ||||
\(838\) | −20.7376 | − | 35.9187i | −0.716370 | − | 1.24079i | ||||
\(839\) | 23.6110 | + | 5.59591i | 0.815142 | + | 0.193192i | 0.616982 | − | 0.786977i | \(-0.288355\pi\) |
0.198160 | + | 0.980170i | \(0.436503\pi\) | |||||||
\(840\) | 0.446260 | − | 5.97825i | 0.0153974 | − | 0.206269i | ||||
\(841\) | −13.6139 | − | 6.83717i | −0.469446 | − | 0.235764i | ||||
\(842\) | 19.1467 | + | 2.23793i | 0.659840 | + | 0.0771243i | ||||
\(843\) | −3.76086 | − | 9.12560i | −0.129531 | − | 0.314302i | ||||
\(844\) | 3.14719 | − | 1.58058i | 0.108331 | − | 0.0544058i | ||||
\(845\) | −45.5264 | + | 16.5702i | −1.56615 | + | 0.570034i | ||||
\(846\) | 9.70899 | + | 2.63874i | 0.333802 | + | 0.0907219i | ||||
\(847\) | 8.83862 | + | 3.21699i | 0.303699 | + | 0.110537i | ||||
\(848\) | 2.35708 | − | 0.275503i | 0.0809426 | − | 0.00946083i | ||||
\(849\) | −2.94792 | − | 0.0481481i | −0.101172 | − | 0.00165244i | ||||
\(850\) | 3.72333 | − | 12.4368i | 0.127709 | − | 0.426578i | ||||
\(851\) | 1.02413 | − | 3.42082i | 0.0351066 | − | 0.117264i | ||||
\(852\) | 0.590442 | + | 0.00964364i | 0.0202282 | + | 0.000330386i | ||||
\(853\) | −13.6257 | + | 1.59261i | −0.466534 | + | 0.0545300i | −0.346113 | − | 0.938193i | \(-0.612499\pi\) |
−0.120421 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(854\) | −4.92919 | − | 1.79408i | −0.168673 | − | 0.0613921i | ||||
\(855\) | 5.00106 | − | 4.96544i | 0.171033 | − | 0.169815i | ||||
\(856\) | 38.7846 | − | 14.1164i | 1.32563 | − | 0.482490i | ||||
\(857\) | −28.1926 | + | 14.1589i | −0.963041 | + | 0.483657i | −0.859594 | − | 0.510978i | \(-0.829283\pi\) |
−0.103447 | + | 0.994635i | \(0.532987\pi\) | |||||||
\(858\) | 30.0230 | + | 72.8498i | 1.02497 | + | 2.48705i | ||||
\(859\) | −27.1205 | − | 3.16993i | −0.925339 | − | 0.108157i | −0.359941 | − | 0.932975i | \(-0.617203\pi\) |
−0.565398 | + | 0.824818i | \(0.691277\pi\) | |||||||
\(860\) | −3.83629 | − | 1.92666i | −0.130816 | − | 0.0656985i | ||||
\(861\) | −0.0150929 | + | 0.202190i | −0.000514366 | + | 0.00689062i | ||||
\(862\) | 17.8900 | + | 4.24001i | 0.609337 | + | 0.144415i | ||||
\(863\) | 15.4903 | + | 26.8301i | 0.527297 | + | 0.913306i | 0.999494 | + | 0.0318126i | \(0.0101280\pi\) |
−0.472196 | + | 0.881493i | \(0.656539\pi\) | |||||||
\(864\) | −3.48063 | − | 4.07153i | −0.118413 | − | 0.138516i | ||||
\(865\) | −1.62239 | + | 2.81006i | −0.0551628 | + | 0.0955448i | ||||
\(866\) | −1.95418 | + | 2.07131i | −0.0664059 | + | 0.0703861i | ||||
\(867\) | 7.71338 | + | 10.7221i | 0.261960 | + | 0.364141i | ||||
\(868\) | −0.00908551 | − | 0.155992i | −0.000308382 | − | 0.00529472i | ||||
\(869\) | −22.0828 | + | 29.6623i | −0.749107 | + | 1.00623i | ||||
\(870\) | −16.6577 | − | 18.2441i | −0.564751 | − | 0.618533i | ||||
\(871\) | −28.8899 | − | 19.0012i | −0.978895 | − | 0.643830i | ||||
\(872\) | 6.71014 | − | 38.0551i | 0.227234 | − | 1.28871i | ||||
\(873\) | −6.17352 | − | 43.2230i | −0.208942 | − | 1.46288i | ||||
\(874\) | 0.135710 | + | 0.769648i | 0.00459045 | + | 0.0260337i | ||||
\(875\) | 1.64892 | − | 3.82262i | 0.0557436 | − | 0.129228i | ||||
\(876\) | 0.464083 | + | 2.90898i | 0.0156799 | + | 0.0982853i | ||||
\(877\) | 43.7904 | − | 10.3785i | 1.47870 | − | 0.350458i | 0.589421 | − | 0.807826i | \(-0.299356\pi\) |
0.889277 | + | 0.457368i | \(0.151208\pi\) | |||||||
\(878\) | −8.44469 | − | 8.95085i | −0.284995 | − | 0.302077i | ||||
\(879\) | −3.21406 | + | 16.6345i | −0.108407 | + | 0.561068i | ||||
\(880\) | 36.8606 | + | 49.5124i | 1.24257 | + | 1.66906i | ||||
\(881\) | 6.32139 | − | 5.30428i | 0.212973 | − | 0.178706i | −0.530060 | − | 0.847960i | \(-0.677831\pi\) |
0.743033 | + | 0.669254i | \(0.233386\pi\) | |||||||
\(882\) | −19.8226 | − | 22.4354i | −0.667461 | − | 0.755440i | ||||
\(883\) | 12.7330 | + | 10.6843i | 0.428501 | + | 0.359555i | 0.831386 | − | 0.555696i | \(-0.187548\pi\) |
−0.402885 | + | 0.915251i | \(0.631992\pi\) | |||||||
\(884\) | −0.296571 | + | 5.09193i | −0.00997477 | + | 0.171260i | ||||
\(885\) | 2.04110 | + | 48.7478i | 0.0686109 | + | 1.63864i | ||||
\(886\) | 17.2322 | + | 39.9487i | 0.578927 | + | 1.34210i | ||||
\(887\) | 6.15846 | − | 4.05048i | 0.206781 | − | 0.136002i | −0.441895 | − | 0.897067i | \(-0.645694\pi\) |
0.648676 | + | 0.761065i | \(0.275323\pi\) | |||||||
\(888\) | 19.7821 | − | 20.2934i | 0.663844 | − | 0.681001i | ||||
\(889\) | 0.426328 | + | 1.42404i | 0.0142986 | + | 0.0477606i | ||||
\(890\) | 59.0258 | 1.97855 | ||||||||
\(891\) | −48.5938 | + | 8.21068i | −1.62795 | + | 0.275068i | ||||
\(892\) | −0.603232 | −0.0201977 | ||||||||
\(893\) | −0.587758 | − | 1.96325i | −0.0196686 | − | 0.0656976i | ||||
\(894\) | 7.70105 | + | 1.95854i | 0.257562 | + | 0.0655035i | ||||
\(895\) | 8.26714 | − | 5.43738i | 0.276340 | − | 0.181752i | ||||
\(896\) | 2.47500 | + | 5.73769i | 0.0826838 | + | 0.191683i | ||||
\(897\) | 5.05711 | + | 2.64406i | 0.168852 | + | 0.0882827i | ||||
\(898\) | 2.81622 | − | 48.3526i | 0.0939785 | − | 1.61355i | ||||
\(899\) | 4.90401 | + | 4.11496i | 0.163558 | + | 0.137241i | ||||
\(900\) | 0.355268 | + | 0.903662i | 0.0118423 | + | 0.0301221i | ||||
\(901\) | 2.08241 | − | 1.74735i | 0.0693751 | − | 0.0582126i | ||||
\(902\) | −1.14146 | − | 1.53325i | −0.0380064 | − | 0.0510515i | ||||
\(903\) | −7.32053 | + | 2.52985i | −0.243612 | + | 0.0841882i | ||||
\(904\) | 19.9851 | + | 21.1829i | 0.664694 | + | 0.704534i | ||||
\(905\) | −25.5261 | + | 6.04979i | −0.848516 | + | 0.201102i | ||||
\(906\) | 23.8457 | + | 9.12281i | 0.792219 | + | 0.303085i | ||||
\(907\) | −7.62233 | + | 17.6706i | −0.253095 | + | 0.586741i | −0.996637 | − | 0.0819491i | \(-0.973886\pi\) |
0.743541 | + | 0.668690i | \(0.233145\pi\) | |||||||
\(908\) | −0.0639888 | − | 0.362898i | −0.00212354 | − | 0.0120432i | ||||
\(909\) | −20.3098 | − | 0.663615i | −0.673635 | − | 0.0220107i | ||||
\(910\) | 1.85977 | − | 10.5473i | 0.0616509 | − | 0.349639i | ||||
\(911\) | −22.1712 | − | 14.5822i | −0.734565 | − | 0.483131i | 0.126282 | − | 0.991994i | \(-0.459696\pi\) |
−0.860847 | + | 0.508863i | \(0.830066\pi\) | |||||||
\(912\) | −2.04858 | + | 6.45702i | −0.0678354 | + | 0.213813i | ||||
\(913\) | 1.01280 | − | 1.36043i | 0.0335189 | − | 0.0450238i | ||||
\(914\) | −2.68504 | − | 46.1004i | −0.0888134 | − | 1.52487i | ||||
\(915\) | −32.1361 | + | 3.22514i | −1.06239 | + | 0.106620i | ||||
\(916\) | −2.69025 | + | 2.85150i | −0.0888884 | + | 0.0942162i | ||||
\(917\) | −2.01289 | + | 3.48643i | −0.0664716 | + | 0.115132i | ||||
\(918\) | −36.5947 | − | 10.5905i | −1.20780 | − | 0.349540i | ||||
\(919\) | 16.6181 | + | 28.7834i | 0.548181 | + | 0.949477i | 0.998399 | + | 0.0565583i | \(0.0180127\pi\) |
−0.450219 | + | 0.892918i | \(0.648654\pi\) | |||||||
\(920\) | 3.98294 | + | 0.943974i | 0.131314 | + | 0.0311219i | ||||
\(921\) | −37.6554 | + | 18.1474i | −1.24079 | + | 0.597977i | ||||
\(922\) | −31.7198 | − | 15.9303i | −1.04464 | − | 0.524636i | ||||
\(923\) | −10.4173 | − | 1.21761i | −0.342890 | − | 0.0400781i | ||||
\(924\) | −0.851365 | − | 0.113633i | −0.0280079 | − | 0.00373824i | ||||
\(925\) | −9.64345 | + | 4.84312i | −0.317075 | + | 0.159241i | ||||
\(926\) | −52.8537 | + | 19.2372i | −1.73688 | + | 0.632173i | ||||
\(927\) | 4.15606 | − | 45.6252i | 0.136503 | − | 1.49853i | ||||
\(928\) | 3.59404 | + | 1.30812i | 0.117980 | + | 0.0429413i | ||||
\(929\) | −17.2930 | + | 2.02126i | −0.567365 | + | 0.0663155i | −0.394940 | − | 0.918707i | \(-0.629235\pi\) |
−0.172426 | + | 0.985023i | \(0.555160\pi\) | |||||||
\(930\) | −5.58125 | − | 10.0423i | −0.183017 | − | 0.329299i | ||||
\(931\) | −1.74893 | + | 5.84183i | −0.0573188 | + | 0.191458i | ||||
\(932\) | −0.515327 | + | 1.72131i | −0.0168801 | + | 0.0563835i | ||||
\(933\) | 1.86947 | − | 3.11924i | 0.0612038 | − | 0.102119i | ||||
\(934\) | 8.46415 | − | 0.989317i | 0.276955 | − | 0.0323714i | ||||
\(935\) | 66.4430 | + | 24.1833i | 2.17292 | + | 0.790877i | ||||
\(936\) | 25.8448 | + | 37.1925i | 0.844765 | + | 1.21567i | ||||
\(937\) | 23.8616 | − | 8.68490i | 0.779523 | − | 0.283723i | 0.0785493 | − | 0.996910i | \(-0.474971\pi\) |
0.700974 | + | 0.713187i | \(0.252749\pi\) | |||||||
\(938\) | 4.02241 | − | 2.02013i | 0.131336 | − | 0.0659596i | ||||
\(939\) | 7.16287 | − | 9.30038i | 0.233752 | − | 0.303506i | ||||
\(940\) | 1.07236 | + | 0.125341i | 0.0349764 | + | 0.00408816i | ||||
\(941\) | −8.82257 | − | 4.43086i | −0.287608 | − | 0.144442i | 0.299146 | − | 0.954207i | \(-0.403298\pi\) |
−0.586754 | + | 0.809765i | \(0.699594\pi\) | |||||||
\(942\) | −26.3597 | − | 17.9605i | −0.858844 | − | 0.585184i | ||||
\(943\) | −0.134707 | − | 0.0319261i | −0.00438666 | − | 0.00103966i | ||||
\(944\) | −23.4495 | − | 40.6157i | −0.763215 | − | 1.32193i | ||||
\(945\) | 6.17496 | + | 2.59662i | 0.200871 | + | 0.0844682i | ||||
\(946\) | 36.5103 | − | 63.2377i | 1.18705 | − | 2.05603i | ||||
\(947\) | −11.2258 | + | 11.8986i | −0.364789 | + | 0.386654i | −0.883606 | − | 0.468232i | \(-0.844891\pi\) |
0.518816 | + | 0.854886i | \(0.326373\pi\) | |||||||
\(948\) | 0.878792 | − | 1.94911i | 0.0285418 | − | 0.0633043i | ||||
\(949\) | −3.04212 | − | 52.2312i | −0.0987514 | − | 1.69550i | ||||
\(950\) | 1.41037 | − | 1.89446i | 0.0457586 | − | 0.0614644i | ||||
\(951\) | 8.66113 | − | 1.90389i | 0.280856 | − | 0.0617380i | ||||
\(952\) | 5.51491 | + | 3.62721i | 0.178739 | + | 0.117559i | ||||
\(953\) | 7.86853 | − | 44.6246i | 0.254887 | − | 1.44553i | −0.541477 | − | 0.840716i | \(-0.682135\pi\) |
0.796363 | − | 0.604818i | \(-0.206754\pi\) | |||||||
\(954\) | −0.499474 | + | 2.37604i | −0.0161711 | + | 0.0769271i | ||||
\(955\) | −0.294561 | − | 1.67054i | −0.00953179 | − | 0.0540574i | ||||
\(956\) | 1.21396 | − | 2.81427i | 0.0392622 | − | 0.0910201i | ||||
\(957\) | 27.3223 | − | 22.1760i | 0.883205 | − | 0.716847i | ||||
\(958\) | 32.5325 | − | 7.71035i | 1.05108 | − | 0.249110i | ||||
\(959\) | 1.97973 | + | 2.09839i | 0.0639289 | + | 0.0677607i | ||||
\(960\) | 24.3141 | + | 21.0881i | 0.784735 | + | 0.680615i | ||||
\(961\) | −16.7341 | − | 22.4778i | −0.539809 | − | 0.725090i | ||||
\(962\) | 38.7848 | − | 32.5443i | 1.25047 | − | 1.04927i | ||||
\(963\) | 1.17659 | + | 46.1043i | 0.0379152 | + | 1.48569i | ||||
\(964\) | −1.32933 | − | 1.11544i | −0.0428148 | − | 0.0359259i | ||||
\(965\) | −1.51934 | + | 26.0860i | −0.0489092 | + | 0.839738i | ||||
\(966\) | −0.627225 | + | 0.398012i | −0.0201806 | + | 0.0128058i | ||||
\(967\) | 10.5809 | + | 24.5292i | 0.340257 | + | 0.788805i | 0.999326 | + | 0.0367220i | \(0.0116916\pi\) |
−0.659068 | + | 0.752083i | \(0.729049\pi\) | |||||||
\(968\) | −42.5852 | + | 28.0087i | −1.36874 | + | 0.900234i | ||||
\(969\) | 2.10383 | + | 7.46912i | 0.0675847 | + | 0.239943i | ||||
\(970\) | −16.0467 | − | 53.5997i | −0.515228 | − | 1.72098i | ||||
\(971\) | −21.0798 | −0.676483 | −0.338242 | − | 0.941059i | \(-0.609832\pi\) | ||||
−0.338242 | + | 0.941059i | \(0.609832\pi\) | |||||||
\(972\) | 2.64212 | − | 1.06685i | 0.0847461 | − | 0.0342191i | ||||
\(973\) | −7.17705 | −0.230086 | ||||||||
\(974\) | −9.66181 | − | 32.2727i | −0.309585 | − | 1.03408i | ||||
\(975\) | −4.67567 | − | 16.5998i | −0.149741 | − | 0.531620i | ||||
\(976\) | 25.9380 | − | 17.0597i | 0.830257 | − | 0.546068i | ||||
\(977\) | −7.81479 | − | 18.1167i | −0.250017 | − | 0.579605i | 0.746275 | − | 0.665638i | \(-0.231840\pi\) |
−0.996292 | + | 0.0860325i | \(0.972581\pi\) | |||||||
\(978\) | −13.0886 | + | 8.30548i | −0.418526 | + | 0.265580i | ||||
\(979\) | −4.88857 | + | 83.9334i | −0.156239 | + | 2.68252i | ||||
\(980\) | −2.46101 | − | 2.06503i | −0.0786142 | − | 0.0659651i | ||||
\(981\) | 37.9326 | + | 20.6284i | 1.21110 | + | 0.658615i | ||||
\(982\) | 1.93456 | − | 1.62329i | 0.0617343 | − | 0.0518012i | ||||
\(983\) | −30.5508 | − | 41.0368i | −0.974419 | − | 1.30887i | −0.951015 | − | 0.309145i | \(-0.899957\pi\) |
−0.0234036 | − | 0.999726i | \(-0.507450\pi\) | |||||||
\(984\) | −0.830021 | − | 0.719893i | −0.0264601 | − | 0.0229494i | ||||
\(985\) | −6.80600 | − | 7.21394i | −0.216857 | − | 0.229855i | ||||
\(986\) | 26.4687 | − | 6.27319i | 0.842934 | − | 0.199779i | ||||
\(987\) | 1.51245 | − | 1.22757i | 0.0481419 | − | 0.0390740i | ||||
\(988\) | −0.367534 | + | 0.852040i | −0.0116928 | + | 0.0271070i | ||||
\(989\) | −0.918335 | − | 5.20814i | −0.0292014 | − | 0.165609i | ||||
\(990\) | −60.0183 | + | 19.6501i | −1.90751 | + | 0.624521i | ||||
\(991\) | −9.85960 | + | 55.9165i | −0.313200 | + | 1.77625i | 0.268937 | + | 0.963158i | \(0.413328\pi\) |
−0.582138 | + | 0.813090i | \(0.697784\pi\) | |||||||
\(992\) | 1.48607 | + | 0.977403i | 0.0471827 | + | 0.0310326i | ||||
\(993\) | 2.83465 | − | 0.623115i | 0.0899550 | − | 0.0197740i | ||||
\(994\) | 0.815294 | − | 1.09513i | 0.0258596 | − | 0.0347354i | ||||
\(995\) | −1.67233 | − | 28.7129i | −0.0530165 | − | 0.910259i | ||||
\(996\) | −0.0403049 | + | 0.0893942i | −0.00127711 | + | 0.00283256i | ||||
\(997\) | −7.85875 | + | 8.32979i | −0.248889 | + | 0.263807i | −0.839758 | − | 0.542960i | \(-0.817303\pi\) |
0.590869 | + | 0.806767i | \(0.298785\pi\) | |||||||
\(998\) | −12.9865 | + | 22.4932i | −0.411079 | + | 0.712010i | ||||
\(999\) | 14.4715 | + | 28.1671i | 0.457857 | + | 0.891167i |
(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 | 81.2.g.a.43.6 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.46.3 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.622.3 | 144 | |||
9.4 | even | 3 | 729.2.g.d.136.3 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.136.6 | 144 | |||
9.7 | even | 3 | 729.2.g.c.622.6 | 144 | |||
81.5 | odd | 54 | 729.2.g.b.109.3 | 144 | |||
81.7 | even | 27 | 6561.2.a.c.1.22 | 72 | |||
81.22 | even | 27 | 729.2.g.d.595.3 | 144 | |||
81.32 | odd | 54 | 243.2.g.a.37.3 | 144 | |||
81.49 | even | 27 | inner | 81.2.g.a.49.6 | yes | 144 | |
81.59 | odd | 54 | 729.2.g.a.595.6 | 144 | |||
81.74 | odd | 54 | 6561.2.a.d.1.51 | 72 | |||
81.76 | even | 27 | 729.2.g.c.109.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.6 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.49.6 | yes | 144 | 81.49 | even | 27 | inner | |
243.2.g.a.37.3 | 144 | 81.32 | odd | 54 | |||
243.2.g.a.46.3 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.136.6 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.595.6 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.109.3 | 144 | 81.5 | odd | 54 | |||
729.2.g.b.622.3 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.109.6 | 144 | 81.76 | even | 27 | |||
729.2.g.c.622.6 | 144 | 9.7 | even | 3 | |||
729.2.g.d.136.3 | 144 | 9.4 | even | 3 | |||
729.2.g.d.595.3 | 144 | 81.22 | even | 27 | |||
6561.2.a.c.1.22 | 72 | 81.7 | even | 27 | |||
6561.2.a.d.1.51 | 72 | 81.74 | odd | 54 |