Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (of order \(12\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.1 | ||
Root | \(0.339278 + 0.0446668i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.97 |
Dual form | 390.2.bn.b.193.1 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | −0.258819 | − | 0.965926i | −0.149429 | − | 0.557678i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.66815 | − | 1.48905i | −0.746021 | − | 0.665922i | ||||
\(6\) | −0.965926 | − | 0.258819i | −0.394338 | − | 0.105662i | ||||
\(7\) | −0.568824 | + | 0.328411i | −0.214995 | + | 0.124128i | −0.603631 | − | 0.797264i | \(-0.706280\pi\) |
0.388636 | + | 0.921392i | \(0.372947\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.866025 | + | 0.500000i | −0.288675 | + | 0.166667i | ||||
\(10\) | −2.12363 | + | 0.700141i | −0.671551 | + | 0.221404i | ||||
\(11\) | −1.26026 | + | 0.337686i | −0.379983 | + | 0.101816i | −0.443755 | − | 0.896148i | \(-0.646354\pi\) |
0.0637713 | + | 0.997965i | \(0.479687\pi\) | |||||||
\(12\) | −0.707107 | + | 0.707107i | −0.204124 | + | 0.204124i | ||||
\(13\) | 0.656060 | − | 3.54536i | 0.181958 | − | 0.983306i | ||||
\(14\) | 0.656821i | 0.175543i | ||||||||
\(15\) | −1.00656 | + | 1.99671i | −0.259892 | + | 0.515548i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −5.49364 | − | 1.47202i | −1.33240 | − | 0.357017i | −0.478793 | − | 0.877928i | \(-0.658926\pi\) |
−0.853611 | + | 0.520911i | \(0.825592\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −0.425167 | + | 1.58674i | −0.0975399 | + | 0.364024i | −0.997392 | − | 0.0721707i | \(-0.977007\pi\) |
0.899852 | + | 0.436195i | \(0.143674\pi\) | |||||||
\(20\) | −0.455475 | + | 2.18919i | −0.101847 | + | 0.489517i | ||||
\(21\) | 0.464443 | + | 0.464443i | 0.101350 | + | 0.101350i | ||||
\(22\) | −0.337686 | + | 1.26026i | −0.0719949 | + | 0.268689i | ||||
\(23\) | −0.208047 | + | 0.0557460i | −0.0433808 | + | 0.0116238i | −0.280444 | − | 0.959870i | \(-0.590482\pi\) |
0.237063 | + | 0.971494i | \(0.423815\pi\) | |||||||
\(24\) | 0.258819 | + | 0.965926i | 0.0528312 | + | 0.197169i | ||||
\(25\) | 0.565478 | + | 4.96792i | 0.113096 | + | 0.993584i | ||||
\(26\) | −2.74234 | − | 2.34084i | −0.537818 | − | 0.459077i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 0.568824 | + | 0.328411i | 0.107498 | + | 0.0620638i | ||||
\(29\) | −0.0656377 | − | 0.0378960i | −0.0121886 | − | 0.00703710i | 0.493893 | − | 0.869523i | \(-0.335573\pi\) |
−0.506082 | + | 0.862485i | \(0.668907\pi\) | |||||||
\(30\) | 1.22592 | + | 1.87006i | 0.223821 | + | 0.341425i | ||||
\(31\) | 5.13765 | − | 5.13765i | 0.922749 | − | 0.922749i | −0.0744742 | − | 0.997223i | \(-0.523728\pi\) |
0.997223 | + | 0.0744742i | \(0.0237278\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0.652360 | + | 1.12992i | 0.113561 | + | 0.196694i | ||||
\(34\) | −4.02163 | + | 4.02163i | −0.689703 | + | 0.689703i | ||||
\(35\) | 1.43790 | + | 0.299166i | 0.243050 | + | 0.0505683i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | 0.800508 | + | 0.462173i | 0.131603 | + | 0.0759808i | 0.564356 | − | 0.825532i | \(-0.309125\pi\) |
−0.432753 | + | 0.901512i | \(0.642458\pi\) | |||||||
\(38\) | 1.16158 | + | 1.16158i | 0.188433 | + | 0.188433i | ||||
\(39\) | −3.59436 | + | 0.283902i | −0.575558 | + | 0.0454607i | ||||
\(40\) | 1.66815 | + | 1.48905i | 0.263758 | + | 0.235439i | ||||
\(41\) | −2.01318 | − | 7.51330i | −0.314406 | − | 1.17338i | −0.924541 | − | 0.381082i | \(-0.875551\pi\) |
0.610135 | − | 0.792298i | \(-0.291115\pi\) | |||||||
\(42\) | 0.634441 | − | 0.169998i | 0.0978963 | − | 0.0262312i | ||||
\(43\) | 2.45871 | − | 9.17603i | 0.374950 | − | 1.39933i | −0.478469 | − | 0.878105i | \(-0.658808\pi\) |
0.853418 | − | 0.521226i | \(-0.174525\pi\) | |||||||
\(44\) | 0.922576 | + | 0.922576i | 0.139084 | + | 0.139084i | ||||
\(45\) | 2.18919 | + | 0.455475i | 0.326345 | + | 0.0678983i | ||||
\(46\) | −0.0557460 | + | 0.208047i | −0.00821930 | + | 0.0306748i | ||||
\(47\) | − | 7.92499i | − | 1.15598i | −0.816044 | − | 0.577990i | \(-0.803837\pi\) | ||
0.816044 | − | 0.577990i | \(-0.196163\pi\) | |||||||
\(48\) | 0.965926 | + | 0.258819i | 0.139419 | + | 0.0373573i | ||||
\(49\) | −3.28429 | + | 5.68856i | −0.469185 | + | 0.812652i | ||||
\(50\) | 4.58508 | + | 1.99424i | 0.648429 | + | 0.282028i | ||||
\(51\) | 5.68744i | 0.796400i | ||||||||
\(52\) | −3.39840 | + | 1.20452i | −0.471274 | + | 0.167036i | ||||
\(53\) | 2.58944 | − | 2.58944i | 0.355687 | − | 0.355687i | −0.506533 | − | 0.862220i | \(-0.669073\pi\) |
0.862220 | + | 0.506533i | \(0.169073\pi\) | |||||||
\(54\) | 0.965926 | − | 0.258819i | 0.131446 | − | 0.0352208i | ||||
\(55\) | 2.60514 | + | 1.31328i | 0.351277 | + | 0.177082i | ||||
\(56\) | 0.568824 | − | 0.328411i | 0.0760123 | − | 0.0438857i | ||||
\(57\) | 1.64272 | 0.217583 | ||||||||
\(58\) | −0.0656377 | + | 0.0378960i | −0.00861866 | + | 0.00497598i | ||||
\(59\) | 4.72918 | + | 1.26718i | 0.615686 | + | 0.164973i | 0.553166 | − | 0.833071i | \(-0.313419\pi\) |
0.0625204 | + | 0.998044i | \(0.480086\pi\) | |||||||
\(60\) | 2.23248 | − | 0.126648i | 0.288212 | − | 0.0163502i | ||||
\(61\) | 1.60754 | + | 2.78433i | 0.205824 | + | 0.356497i | 0.950395 | − | 0.311046i | \(-0.100679\pi\) |
−0.744571 | + | 0.667543i | \(0.767346\pi\) | |||||||
\(62\) | −1.88051 | − | 7.01816i | −0.238825 | − | 0.891307i | ||||
\(63\) | 0.328411 | − | 0.568824i | 0.0413758 | − | 0.0716651i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −6.37362 | + | 4.93731i | −0.790550 | + | 0.612397i | ||||
\(66\) | 1.30472 | 0.160600 | ||||||||
\(67\) | 6.64195 | − | 11.5042i | 0.811443 | − | 1.40546i | −0.100411 | − | 0.994946i | \(-0.532016\pi\) |
0.911854 | − | 0.410515i | \(-0.134651\pi\) | |||||||
\(68\) | 1.47202 | + | 5.49364i | 0.178508 | + | 0.666202i | ||||
\(69\) | 0.107693 | + | 0.186530i | 0.0129647 | + | 0.0224555i | ||||
\(70\) | 0.978038 | − | 1.09568i | 0.116898 | − | 0.130959i | ||||
\(71\) | −3.94410 | − | 1.05682i | −0.468079 | − | 0.125421i | 0.0170676 | − | 0.999854i | \(-0.494567\pi\) |
−0.485146 | + | 0.874433i | \(0.661234\pi\) | |||||||
\(72\) | 0.866025 | − | 0.500000i | 0.102062 | − | 0.0589256i | ||||
\(73\) | 3.44819 | 0.403581 | 0.201790 | − | 0.979429i | \(-0.435324\pi\) | ||||
0.201790 | + | 0.979429i | \(0.435324\pi\) | |||||||
\(74\) | 0.800508 | − | 0.462173i | 0.0930571 | − | 0.0537265i | ||||
\(75\) | 4.65229 | − | 1.83200i | 0.537200 | − | 0.211541i | ||||
\(76\) | 1.58674 | − | 0.425167i | 0.182012 | − | 0.0487699i | ||||
\(77\) | 0.605967 | − | 0.605967i | 0.0690564 | − | 0.0690564i | ||||
\(78\) | −1.55131 | + | 3.25476i | −0.175651 | + | 0.368528i | ||||
\(79\) | 11.0648i | 1.24489i | 0.782663 | + | 0.622446i | \(0.213861\pi\) | ||||
−0.782663 | + | 0.622446i | \(0.786139\pi\) | |||||||
\(80\) | 2.12363 | − | 0.700141i | 0.237429 | − | 0.0782781i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −7.51330 | − | 2.01318i | −0.829705 | − | 0.222319i | ||||
\(83\) | − | 2.20398i | − | 0.241918i | −0.992658 | − | 0.120959i | \(-0.961403\pi\) | ||
0.992658 | − | 0.120959i | \(-0.0385969\pi\) | |||||||
\(84\) | 0.169998 | − | 0.634441i | 0.0185483 | − | 0.0692231i | ||||
\(85\) | 6.97234 | + | 10.6358i | 0.756257 | + | 1.15362i | ||||
\(86\) | −6.71732 | − | 6.71732i | −0.724347 | − | 0.724347i | ||||
\(87\) | −0.0196164 | + | 0.0732094i | −0.00210310 | + | 0.00784887i | ||||
\(88\) | 1.26026 | − | 0.337686i | 0.134344 | − | 0.0359975i | ||||
\(89\) | −1.59876 | − | 5.96664i | −0.169468 | − | 0.632462i | −0.997428 | − | 0.0716755i | \(-0.977165\pi\) |
0.827960 | − | 0.560787i | \(-0.189501\pi\) | |||||||
\(90\) | 1.48905 | − | 1.66815i | 0.156959 | − | 0.175839i | ||||
\(91\) | 0.791152 | + | 2.23214i | 0.0829352 | + | 0.233992i | ||||
\(92\) | 0.152301 | + | 0.152301i | 0.0158785 | + | 0.0158785i | ||||
\(93\) | −6.29231 | − | 3.63287i | −0.652482 | − | 0.376711i | ||||
\(94\) | −6.86325 | − | 3.96250i | −0.707890 | − | 0.408700i | ||||
\(95\) | 3.07198 | − | 2.01384i | 0.315178 | − | 0.206616i | ||||
\(96\) | 0.707107 | − | 0.707107i | 0.0721688 | − | 0.0721688i | ||||
\(97\) | −6.83472 | − | 11.8381i | −0.693961 | − | 1.20198i | −0.970530 | − | 0.240982i | \(-0.922531\pi\) |
0.276569 | − | 0.960994i | \(-0.410803\pi\) | |||||||
\(98\) | 3.28429 | + | 5.68856i | 0.331764 | + | 0.574632i | ||||
\(99\) | 0.922576 | − | 0.922576i | 0.0927224 | − | 0.0927224i | ||||
\(100\) | 4.01961 | − | 2.97368i | 0.401961 | − | 0.297368i | ||||
\(101\) | −9.11777 | − | 5.26415i | −0.907252 | − | 0.523802i | −0.0277059 | − | 0.999616i | \(-0.508820\pi\) |
−0.879546 | + | 0.475814i | \(0.842154\pi\) | |||||||
\(102\) | 4.92547 | + | 2.84372i | 0.487694 | + | 0.281570i | ||||
\(103\) | 9.71646 | + | 9.71646i | 0.957391 | + | 0.957391i | 0.999129 | − | 0.0417373i | \(-0.0132893\pi\) |
−0.0417373 | + | 0.999129i | \(0.513289\pi\) | |||||||
\(104\) | −0.656060 | + | 3.54536i | −0.0643319 | + | 0.347651i | ||||
\(105\) | −0.0831851 | − | 1.46634i | −0.00811803 | − | 0.143100i | ||||
\(106\) | −0.947801 | − | 3.53724i | −0.0920586 | − | 0.343567i | ||||
\(107\) | 12.3764 | − | 3.31625i | 1.19647 | − | 0.320594i | 0.395033 | − | 0.918667i | \(-0.370733\pi\) |
0.801442 | + | 0.598073i | \(0.204067\pi\) | |||||||
\(108\) | 0.258819 | − | 0.965926i | 0.0249049 | − | 0.0929463i | ||||
\(109\) | 13.0240 | + | 13.0240i | 1.24748 | + | 1.24748i | 0.956831 | + | 0.290646i | \(0.0938702\pi\) |
0.290646 | + | 0.956831i | \(0.406130\pi\) | |||||||
\(110\) | 2.43990 | − | 1.59948i | 0.232636 | − | 0.152505i | ||||
\(111\) | 0.239238 | − | 0.892850i | 0.0227075 | − | 0.0847456i | ||||
\(112\) | − | 0.656821i | − | 0.0620638i | ||||||
\(113\) | −2.25077 | − | 0.603092i | −0.211735 | − | 0.0567341i | 0.151392 | − | 0.988474i | \(-0.451624\pi\) |
−0.363127 | + | 0.931740i | \(0.618291\pi\) | |||||||
\(114\) | 0.821359 | − | 1.42263i | 0.0769273 | − | 0.133242i | ||||
\(115\) | 0.430063 | + | 0.216799i | 0.0401035 | + | 0.0202166i | ||||
\(116\) | 0.0757919i | 0.00703710i | ||||||||
\(117\) | 1.20452 | + | 3.39840i | 0.111358 | + | 0.314182i | ||||
\(118\) | 3.46200 | − | 3.46200i | 0.318703 | − | 0.318703i | ||||
\(119\) | 3.60834 | − | 0.966852i | 0.330776 | − | 0.0886312i | ||||
\(120\) | 1.00656 | − | 1.99671i | 0.0918858 | − | 0.182274i | ||||
\(121\) | −8.05205 | + | 4.64885i | −0.732005 | + | 0.422623i | ||||
\(122\) | 3.21507 | 0.291079 | ||||||||
\(123\) | −6.73624 | + | 3.88917i | −0.607386 | + | 0.350675i | ||||
\(124\) | −7.01816 | − | 1.88051i | −0.630249 | − | 0.168875i | ||||
\(125\) | 6.45416 | − | 9.12928i | 0.577278 | − | 0.816548i | ||||
\(126\) | −0.328411 | − | 0.568824i | −0.0292571 | − | 0.0506749i | ||||
\(127\) | −0.324813 | − | 1.21222i | −0.0288225 | − | 0.107567i | 0.950016 | − | 0.312201i | \(-0.101066\pi\) |
−0.978839 | + | 0.204634i | \(0.934400\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −9.49972 | −0.836404 | ||||||||
\(130\) | 1.08902 | + | 7.98837i | 0.0955136 | + | 0.700626i | ||||
\(131\) | 14.7382 | 1.28768 | 0.643842 | − | 0.765159i | \(-0.277340\pi\) | ||||
0.643842 | + | 0.765159i | \(0.277340\pi\) | |||||||
\(132\) | 0.652360 | − | 1.12992i | 0.0567806 | − | 0.0983469i | ||||
\(133\) | −0.279258 | − | 1.04221i | −0.0242148 | − | 0.0903708i | ||||
\(134\) | −6.64195 | − | 11.5042i | −0.573777 | − | 0.993811i | ||||
\(135\) | −0.126648 | − | 2.23248i | −0.0109001 | − | 0.192141i | ||||
\(136\) | 5.49364 | + | 1.47202i | 0.471076 | + | 0.126224i | ||||
\(137\) | −14.0629 | + | 8.11924i | −1.20148 | + | 0.693674i | −0.960884 | − | 0.276952i | \(-0.910676\pi\) |
−0.240595 | + | 0.970626i | \(0.577342\pi\) | |||||||
\(138\) | 0.215386 | 0.0183349 | ||||||||
\(139\) | −6.66282 | + | 3.84678i | −0.565133 | + | 0.326280i | −0.755203 | − | 0.655491i | \(-0.772462\pi\) |
0.190070 | + | 0.981770i | \(0.439128\pi\) | |||||||
\(140\) | −0.459867 | − | 1.39484i | −0.0388659 | − | 0.117886i | ||||
\(141\) | −7.65496 | + | 2.05114i | −0.644664 | + | 0.172737i | ||||
\(142\) | −2.88728 | + | 2.88728i | −0.242295 | + | 0.242295i | ||||
\(143\) | 0.370412 | + | 4.68963i | 0.0309754 | + | 0.392166i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 0.0530650 | + | 0.160954i | 0.00440681 | + | 0.0133665i | ||||
\(146\) | 1.72410 | − | 2.98622i | 0.142687 | − | 0.247142i | ||||
\(147\) | 6.34477 | + | 1.70008i | 0.523308 | + | 0.140220i | ||||
\(148\) | − | 0.924347i | − | 0.0759808i | ||||||
\(149\) | −3.77709 | + | 14.0963i | −0.309431 | + | 1.15481i | 0.619632 | + | 0.784893i | \(0.287282\pi\) |
−0.929063 | + | 0.369921i | \(0.879385\pi\) | |||||||
\(150\) | 0.739583 | − | 4.94500i | 0.0603867 | − | 0.403757i | ||||
\(151\) | −8.69302 | − | 8.69302i | −0.707428 | − | 0.707428i | 0.258566 | − | 0.965994i | \(-0.416750\pi\) |
−0.965994 | + | 0.258566i | \(0.916750\pi\) | |||||||
\(152\) | 0.425167 | − | 1.58674i | 0.0344856 | − | 0.128702i | ||||
\(153\) | 5.49364 | − | 1.47202i | 0.444135 | − | 0.119006i | ||||
\(154\) | −0.221799 | − | 0.827767i | −0.0178731 | − | 0.0667034i | ||||
\(155\) | −16.2206 | + | 0.920190i | −1.30287 | + | 0.0739114i | ||||
\(156\) | 2.04304 | + | 2.97085i | 0.163574 | + | 0.237859i | ||||
\(157\) | −3.31162 | − | 3.31162i | −0.264296 | − | 0.264296i | 0.562501 | − | 0.826797i | \(-0.309839\pi\) |
−0.826797 | + | 0.562501i | \(0.809839\pi\) | |||||||
\(158\) | 9.58244 | + | 5.53242i | 0.762338 | + | 0.440136i | ||||
\(159\) | −3.17140 | − | 1.83101i | −0.251509 | − | 0.145209i | ||||
\(160\) | 0.455475 | − | 2.18919i | 0.0360085 | − | 0.173070i | ||||
\(161\) | 0.100034 | − | 0.100034i | 0.00788382 | − | 0.00788382i | ||||
\(162\) | −0.500000 | − | 0.866025i | −0.0392837 | − | 0.0680414i | ||||
\(163\) | 0.917052 | + | 1.58838i | 0.0718291 | + | 0.124412i | 0.899703 | − | 0.436503i | \(-0.143783\pi\) |
−0.827874 | + | 0.560914i | \(0.810450\pi\) | |||||||
\(164\) | −5.50012 | + | 5.50012i | −0.429487 | + | 0.429487i | ||||
\(165\) | 0.594268 | − | 2.85628i | 0.0462637 | − | 0.222361i | ||||
\(166\) | −1.90870 | − | 1.10199i | −0.148144 | − | 0.0855309i | ||||
\(167\) | 17.4905 | + | 10.0982i | 1.35346 | + | 0.781420i | 0.988732 | − | 0.149695i | \(-0.0478292\pi\) |
0.364726 | + | 0.931115i | \(0.381163\pi\) | |||||||
\(168\) | −0.464443 | − | 0.464443i | −0.0358325 | − | 0.0358325i | ||||
\(169\) | −12.1392 | − | 4.65194i | −0.933782 | − | 0.357841i | ||||
\(170\) | 12.6971 | − | 0.720302i | 0.973822 | − | 0.0552447i | ||||
\(171\) | −0.425167 | − | 1.58674i | −0.0325133 | − | 0.121341i | ||||
\(172\) | −9.17603 | + | 2.45871i | −0.699665 | + | 0.187475i | ||||
\(173\) | −2.62932 | + | 9.81276i | −0.199904 | + | 0.746051i | 0.791039 | + | 0.611766i | \(0.209540\pi\) |
−0.990943 | + | 0.134285i | \(0.957126\pi\) | |||||||
\(174\) | 0.0535930 | + | 0.0535930i | 0.00406287 | + | 0.00406287i | ||||
\(175\) | −1.95317 | − | 2.64016i | −0.147646 | − | 0.199578i | ||||
\(176\) | 0.337686 | − | 1.26026i | 0.0254541 | − | 0.0949958i | ||||
\(177\) | − | 4.89600i | − | 0.368006i | ||||||
\(178\) | −5.96664 | − | 1.59876i | −0.447218 | − | 0.119832i | ||||
\(179\) | −0.597467 | + | 1.03484i | −0.0446568 | + | 0.0773478i | −0.887490 | − | 0.460827i | \(-0.847553\pi\) |
0.842833 | + | 0.538175i | \(0.180886\pi\) | |||||||
\(180\) | −0.700141 | − | 2.12363i | −0.0521854 | − | 0.158286i | ||||
\(181\) | 21.0296i | 1.56312i | 0.623831 | + | 0.781559i | \(0.285575\pi\) | ||||
−0.623831 | + | 0.781559i | \(0.714425\pi\) | |||||||
\(182\) | 2.32867 | + | 0.430914i | 0.172612 | + | 0.0319415i | ||||
\(183\) | 2.27340 | − | 2.27340i | 0.168054 | − | 0.168054i | ||||
\(184\) | 0.208047 | − | 0.0557460i | 0.0153374 | − | 0.00410965i | ||||
\(185\) | −0.647172 | − | 1.96297i | −0.0475811 | − | 0.144320i | ||||
\(186\) | −6.29231 | + | 3.63287i | −0.461374 | + | 0.266375i | ||||
\(187\) | 7.42051 | 0.542641 | ||||||||
\(188\) | −6.86325 | + | 3.96250i | −0.500554 | + | 0.288995i | ||||
\(189\) | −0.634441 | − | 0.169998i | −0.0461488 | − | 0.0123655i | ||||
\(190\) | −0.208047 | − | 3.66733i | −0.0150933 | − | 0.266056i | ||||
\(191\) | 4.06177 | + | 7.03518i | 0.293899 | + | 0.509048i | 0.974728 | − | 0.223394i | \(-0.0717137\pi\) |
−0.680829 | + | 0.732442i | \(0.738380\pi\) | |||||||
\(192\) | −0.258819 | − | 0.965926i | −0.0186787 | − | 0.0697097i | ||||
\(193\) | 2.24370 | − | 3.88620i | 0.161505 | − | 0.279735i | −0.773904 | − | 0.633303i | \(-0.781698\pi\) |
0.935409 | + | 0.353568i | \(0.115032\pi\) | |||||||
\(194\) | −13.6694 | −0.981409 | ||||||||
\(195\) | 6.41869 | + | 4.87857i | 0.459652 | + | 0.349362i | ||||
\(196\) | 6.56859 | 0.469185 | ||||||||
\(197\) | −5.75874 | + | 9.97443i | −0.410293 | + | 0.710649i | −0.994922 | − | 0.100652i | \(-0.967907\pi\) |
0.584628 | + | 0.811301i | \(0.301240\pi\) | |||||||
\(198\) | −0.337686 | − | 1.26026i | −0.0239983 | − | 0.0895629i | ||||
\(199\) | −1.75484 | − | 3.03947i | −0.124397 | − | 0.215462i | 0.797100 | − | 0.603847i | \(-0.206366\pi\) |
−0.921497 | + | 0.388385i | \(0.873033\pi\) | |||||||
\(200\) | −0.565478 | − | 4.96792i | −0.0399853 | − | 0.351285i | ||||
\(201\) | −12.8313 | − | 3.43813i | −0.905047 | − | 0.242507i | ||||
\(202\) | −9.11777 | + | 5.26415i | −0.641524 | + | 0.370384i | ||||
\(203\) | 0.0497817 | 0.00349399 | ||||||||
\(204\) | 4.92547 | − | 2.84372i | 0.344852 | − | 0.199100i | ||||
\(205\) | −7.82935 | + | 15.5311i | −0.546826 | + | 1.08474i | ||||
\(206\) | 13.2729 | − | 3.55647i | 0.924769 | − | 0.247791i | ||||
\(207\) | 0.152301 | − | 0.152301i | 0.0105856 | − | 0.0105856i | ||||
\(208\) | 2.74234 | + | 2.34084i | 0.190147 | + | 0.162308i | ||||
\(209\) | − | 2.14329i | − | 0.148254i | ||||||
\(210\) | −1.31148 | − | 0.661129i | −0.0905007 | − | 0.0456222i | ||||
\(211\) | 9.02202 | − | 15.6266i | 0.621102 | − | 1.07578i | −0.368179 | − | 0.929755i | \(-0.620019\pi\) |
0.989281 | − | 0.146025i | \(-0.0466479\pi\) | |||||||
\(212\) | −3.53724 | − | 0.947801i | −0.242939 | − | 0.0650952i | ||||
\(213\) | 4.08323i | 0.279778i | ||||||||
\(214\) | 3.31625 | − | 12.3764i | 0.226694 | − | 0.846035i | ||||
\(215\) | −17.7650 | + | 11.6459i | −1.21157 | + | 0.794243i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −1.23516 | + | 4.60967i | −0.0838480 | + | 0.312925i | ||||
\(218\) | 17.7912 | − | 4.76713i | 1.20497 | − | 0.322871i | ||||
\(219\) | −0.892458 | − | 3.33070i | −0.0603067 | − | 0.225068i | ||||
\(220\) | −0.165240 | − | 2.91276i | −0.0111405 | − | 0.196378i | ||||
\(221\) | −8.82299 | + | 18.5112i | −0.593498 | + | 1.24520i | ||||
\(222\) | −0.653612 | − | 0.653612i | −0.0438675 | − | 0.0438675i | ||||
\(223\) | −23.8968 | − | 13.7968i | −1.60025 | − | 0.923905i | −0.991436 | − | 0.130592i | \(-0.958312\pi\) |
−0.608814 | − | 0.793313i | \(-0.708354\pi\) | |||||||
\(224\) | −0.568824 | − | 0.328411i | −0.0380061 | − | 0.0219429i | ||||
\(225\) | −2.97368 | − | 4.01961i | −0.198245 | − | 0.267974i | ||||
\(226\) | −1.64768 | + | 1.64768i | −0.109602 | + | 0.109602i | ||||
\(227\) | 6.22930 | + | 10.7895i | 0.413453 | + | 0.716122i | 0.995265 | − | 0.0972019i | \(-0.0309893\pi\) |
−0.581812 | + | 0.813324i | \(0.697656\pi\) | |||||||
\(228\) | −0.821359 | − | 1.42263i | −0.0543958 | − | 0.0942163i | ||||
\(229\) | 12.4079 | − | 12.4079i | 0.819937 | − | 0.819937i | −0.166162 | − | 0.986099i | \(-0.553137\pi\) |
0.986099 | + | 0.166162i | \(0.0531373\pi\) | |||||||
\(230\) | 0.402784 | − | 0.264046i | 0.0265588 | − | 0.0174107i | ||||
\(231\) | −0.742155 | − | 0.428484i | −0.0488302 | − | 0.0281922i | ||||
\(232\) | 0.0656377 | + | 0.0378960i | 0.00430933 | + | 0.00248799i | ||||
\(233\) | −21.0823 | − | 21.0823i | −1.38115 | − | 1.38115i | −0.842582 | − | 0.538567i | \(-0.818966\pi\) |
−0.538567 | − | 0.842582i | \(-0.681034\pi\) | |||||||
\(234\) | 3.54536 | + | 0.656060i | 0.231768 | + | 0.0428880i | ||||
\(235\) | −11.8007 | + | 13.2201i | −0.769792 | + | 0.862385i | ||||
\(236\) | −1.26718 | − | 4.72918i | −0.0824863 | − | 0.307843i | ||||
\(237\) | 10.6878 | − | 2.86379i | 0.694248 | − | 0.186023i | ||||
\(238\) | 0.966852 | − | 3.60834i | 0.0626717 | − | 0.233894i | ||||
\(239\) | −0.526226 | − | 0.526226i | −0.0340388 | − | 0.0340388i | 0.689883 | − | 0.723921i | \(-0.257662\pi\) |
−0.723921 | + | 0.689883i | \(0.757662\pi\) | |||||||
\(240\) | −1.22592 | − | 1.87006i | −0.0791328 | − | 0.120712i | ||||
\(241\) | 4.41998 | − | 16.4956i | 0.284716 | − | 1.06258i | −0.664330 | − | 0.747439i | \(-0.731283\pi\) |
0.949046 | − | 0.315136i | \(-0.102050\pi\) | |||||||
\(242\) | 9.29771i | 0.597679i | ||||||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | 1.60754 | − | 2.78433i | 0.102912 | − | 0.178249i | ||||
\(245\) | 13.9492 | − | 4.59893i | 0.891185 | − | 0.293815i | ||||
\(246\) | 7.77834i | 0.495929i | ||||||||
\(247\) | 5.34664 | + | 2.54837i | 0.340199 | + | 0.162149i | ||||
\(248\) | −5.13765 | + | 5.13765i | −0.326241 | + | 0.326241i | ||||
\(249\) | −2.12888 | + | 0.570431i | −0.134912 | + | 0.0361496i | ||||
\(250\) | −4.67911 | − | 10.1541i | −0.295933 | − | 0.642202i | ||||
\(251\) | −12.1516 | + | 7.01575i | −0.767004 | + | 0.442830i | −0.831805 | − | 0.555068i | \(-0.812692\pi\) |
0.0648005 | + | 0.997898i | \(0.479359\pi\) | |||||||
\(252\) | −0.656821 | −0.0413758 | ||||||||
\(253\) | 0.243369 | − | 0.140509i | 0.0153005 | − | 0.00883373i | ||||
\(254\) | −1.21222 | − | 0.324813i | −0.0760613 | − | 0.0203806i | ||||
\(255\) | 8.46886 | − | 9.48752i | 0.530341 | − | 0.594132i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 4.47521 | + | 16.7017i | 0.279156 | + | 1.04182i | 0.953005 | + | 0.302955i | \(0.0979732\pi\) |
−0.673849 | + | 0.738869i | \(0.735360\pi\) | |||||||
\(258\) | −4.74986 | + | 8.22700i | −0.295713 | + | 0.512191i | ||||
\(259\) | −0.607130 | −0.0377252 | ||||||||
\(260\) | 7.46264 | + | 3.05106i | 0.462813 | + | 0.189219i | ||||
\(261\) | 0.0757919 | 0.00469140 | ||||||||
\(262\) | 7.36910 | − | 12.7637i | 0.455265 | − | 0.788542i | ||||
\(263\) | 6.72435 | + | 25.0956i | 0.414641 | + | 1.54746i | 0.785553 | + | 0.618794i | \(0.212378\pi\) |
−0.370912 | + | 0.928668i | \(0.620955\pi\) | |||||||
\(264\) | −0.652360 | − | 1.12992i | −0.0401500 | − | 0.0695418i | ||||
\(265\) | −8.17539 | + | 0.463788i | −0.502210 | + | 0.0284903i | ||||
\(266\) | −1.04221 | − | 0.279258i | −0.0639018 | − | 0.0171224i | ||||
\(267\) | −5.34954 | + | 3.08856i | −0.327387 | + | 0.189017i | ||||
\(268\) | −13.2839 | −0.811443 | ||||||||
\(269\) | 21.6715 | − | 12.5121i | 1.32134 | − | 0.762873i | 0.337394 | − | 0.941364i | \(-0.390455\pi\) |
0.983942 | + | 0.178490i | \(0.0571214\pi\) | |||||||
\(270\) | −1.99671 | − | 1.00656i | −0.121516 | − | 0.0612572i | ||||
\(271\) | 2.53478 | − | 0.679193i | 0.153977 | − | 0.0412580i | −0.181007 | − | 0.983482i | \(-0.557936\pi\) |
0.334984 | + | 0.942224i | \(0.391269\pi\) | |||||||
\(272\) | 4.02163 | − | 4.02163i | 0.243847 | − | 0.243847i | ||||
\(273\) | 1.95132 | − | 1.34191i | 0.118099 | − | 0.0812164i | ||||
\(274\) | 16.2385i | 0.981003i | ||||||||
\(275\) | −2.39025 | − | 6.06993i | −0.144137 | − | 0.366030i | ||||
\(276\) | 0.107693 | − | 0.186530i | 0.00648235 | − | 0.0112278i | ||||
\(277\) | −28.3973 | − | 7.60904i | −1.70623 | − | 0.457183i | −0.731735 | − | 0.681589i | \(-0.761289\pi\) |
−0.974496 | + | 0.224406i | \(0.927956\pi\) | |||||||
\(278\) | 7.69356i | 0.461429i | ||||||||
\(279\) | −1.88051 | + | 7.01816i | −0.112583 | + | 0.420166i | ||||
\(280\) | −1.43790 | − | 0.299166i | −0.0859312 | − | 0.0178786i | ||||
\(281\) | −10.3701 | − | 10.3701i | −0.618630 | − | 0.618630i | 0.326550 | − | 0.945180i | \(-0.394114\pi\) |
−0.945180 | + | 0.326550i | \(0.894114\pi\) | |||||||
\(282\) | −2.05114 | + | 7.65496i | −0.122144 | + | 0.455846i | ||||
\(283\) | 11.2809 | − | 3.02271i | 0.670580 | − | 0.179681i | 0.0925637 | − | 0.995707i | \(-0.470494\pi\) |
0.578016 | + | 0.816025i | \(0.303827\pi\) | |||||||
\(284\) | 1.05682 | + | 3.94410i | 0.0627106 | + | 0.234039i | ||||
\(285\) | −2.74031 | − | 2.44608i | −0.162322 | − | 0.144893i | ||||
\(286\) | 4.24654 | + | 2.02403i | 0.251103 | + | 0.119683i | ||||
\(287\) | 3.61259 | + | 3.61259i | 0.213245 | + | 0.213245i | ||||
\(288\) | −0.866025 | − | 0.500000i | −0.0510310 | − | 0.0294628i | ||||
\(289\) | 13.2908 | + | 7.67347i | 0.781814 | + | 0.451381i | ||||
\(290\) | 0.165923 | + | 0.0345214i | 0.00974332 | + | 0.00202716i | ||||
\(291\) | −9.66576 | + | 9.66576i | −0.566617 | + | 0.566617i | ||||
\(292\) | −1.72410 | − | 2.98622i | −0.100895 | − | 0.174755i | ||||
\(293\) | −5.72033 | − | 9.90790i | −0.334185 | − | 0.578825i | 0.649143 | − | 0.760666i | \(-0.275128\pi\) |
−0.983328 | + | 0.181841i | \(0.941794\pi\) | |||||||
\(294\) | 4.64469 | − | 4.64469i | 0.270884 | − | 0.270884i | ||||
\(295\) | −6.00211 | − | 9.15582i | −0.349456 | − | 0.533072i | ||||
\(296\) | −0.800508 | − | 0.462173i | −0.0465286 | − | 0.0268633i | ||||
\(297\) | −1.12992 | − | 0.652360i | −0.0655646 | − | 0.0378538i | ||||
\(298\) | 10.3192 | + | 10.3192i | 0.597775 | + | 0.597775i | ||||
\(299\) | 0.0611485 | + | 0.774174i | 0.00353631 | + | 0.0447716i | ||||
\(300\) | −3.91270 | − | 3.11300i | −0.225900 | − | 0.179729i | ||||
\(301\) | 1.61493 | + | 6.02701i | 0.0930831 | + | 0.347391i | ||||
\(302\) | −11.8749 | + | 3.18187i | −0.683323 | + | 0.183096i | ||||
\(303\) | −2.72492 | + | 10.1695i | −0.156543 | + | 0.584225i | ||||
\(304\) | −1.16158 | − | 1.16158i | −0.0666210 | − | 0.0666210i | ||||
\(305\) | 1.46439 | − | 7.03839i | 0.0838505 | − | 0.403017i | ||||
\(306\) | 1.47202 | − | 5.49364i | 0.0841496 | − | 0.314051i | ||||
\(307\) | − | 26.9028i | − | 1.53543i | −0.640794 | − | 0.767713i | \(-0.721395\pi\) | ||
0.640794 | − | 0.767713i | \(-0.278605\pi\) | |||||||
\(308\) | −0.827767 | − | 0.221799i | −0.0471664 | − | 0.0126382i | ||||
\(309\) | 6.87058 | − | 11.9002i | 0.390853 | − | 0.676978i | ||||
\(310\) | −7.31339 | + | 14.5075i | −0.415372 | + | 0.823973i | ||||
\(311\) | 7.38647i | 0.418849i | 0.977825 | + | 0.209424i | \(0.0671590\pi\) | ||||
−0.977825 | + | 0.209424i | \(0.932841\pi\) | |||||||
\(312\) | 3.59436 | − | 0.283902i | 0.203490 | − | 0.0160728i | ||||
\(313\) | 13.9012 | − | 13.9012i | 0.785742 | − | 0.785742i | −0.195051 | − | 0.980793i | \(-0.562487\pi\) |
0.980793 | + | 0.195051i | \(0.0624873\pi\) | |||||||
\(314\) | −4.52376 | + | 1.21214i | −0.255291 | + | 0.0684049i | ||||
\(315\) | −1.39484 | + | 0.459867i | −0.0785906 | + | 0.0259106i | ||||
\(316\) | 9.58244 | − | 5.53242i | 0.539054 | − | 0.311223i | ||||
\(317\) | 24.2313 | 1.36097 | 0.680484 | − | 0.732763i | \(-0.261770\pi\) | ||||
0.680484 | + | 0.732763i | \(0.261770\pi\) | |||||||
\(318\) | −3.17140 | + | 1.83101i | −0.177844 | + | 0.102678i | ||||
\(319\) | 0.0955177 | + | 0.0255939i | 0.00534797 | + | 0.00143298i | ||||
\(320\) | −1.66815 | − | 1.48905i | −0.0932527 | − | 0.0832403i | ||||
\(321\) | −6.40651 | − | 11.0964i | −0.357577 | − | 0.619341i | ||||
\(322\) | −0.0366151 | − | 0.136650i | −0.00204048 | − | 0.00761518i | ||||
\(323\) | 4.67143 | − | 8.09115i | 0.259925 | − | 0.450203i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 17.9841 | + | 1.25443i | 0.997576 | + | 0.0695832i | ||||
\(326\) | 1.83410 | 0.101582 | ||||||||
\(327\) | 9.20939 | − | 15.9511i | 0.509280 | − | 0.882099i | ||||
\(328\) | 2.01318 | + | 7.51330i | 0.111159 | + | 0.414852i | ||||
\(329\) | 2.60265 | + | 4.50793i | 0.143489 | + | 0.248530i | ||||
\(330\) | −2.17647 | − | 1.94279i | −0.119811 | − | 0.106947i | ||||
\(331\) | 7.54624 | + | 2.02201i | 0.414779 | + | 0.111140i | 0.460173 | − | 0.887830i | \(-0.347788\pi\) |
−0.0453937 | + | 0.998969i | \(0.514454\pi\) | |||||||
\(332\) | −1.90870 | + | 1.10199i | −0.104754 | + | 0.0604795i | ||||
\(333\) | −0.924347 | −0.0506539 | ||||||||
\(334\) | 17.4905 | − | 10.0982i | 0.957040 | − | 0.552547i | ||||
\(335\) | −28.2101 | + | 9.30059i | −1.54128 | + | 0.508146i | ||||
\(336\) | −0.634441 | + | 0.169998i | −0.0346116 | + | 0.00927414i | ||||
\(337\) | 3.21147 | − | 3.21147i | 0.174940 | − | 0.174940i | −0.614206 | − | 0.789146i | \(-0.710524\pi\) |
0.789146 | + | 0.614206i | \(0.210524\pi\) | |||||||
\(338\) | −10.0983 | + | 8.18686i | −0.549274 | + | 0.445307i | ||||
\(339\) | 2.33017i | 0.126557i | ||||||||
\(340\) | 5.72474 | − | 11.3561i | 0.310468 | − | 0.615873i | ||||
\(341\) | −4.73987 | + | 8.20970i | −0.256678 | + | 0.444580i | ||||
\(342\) | −1.58674 | − | 0.425167i | −0.0858012 | − | 0.0229904i | ||||
\(343\) | − | 8.91213i | − | 0.481210i | ||||||
\(344\) | −2.45871 | + | 9.17603i | −0.132565 | + | 0.494738i | ||||
\(345\) | 0.0981030 | − | 0.471520i | 0.00528169 | − | 0.0253858i | ||||
\(346\) | 7.18344 | + | 7.18344i | 0.386184 | + | 0.386184i | ||||
\(347\) | −4.83017 | + | 18.0264i | −0.259297 | + | 0.967710i | 0.706352 | + | 0.707861i | \(0.250340\pi\) |
−0.965649 | + | 0.259849i | \(0.916327\pi\) | |||||||
\(348\) | 0.0732094 | − | 0.0196164i | 0.00392444 | − | 0.00105155i | ||||
\(349\) | −0.712266 | − | 2.65821i | −0.0381267 | − | 0.142291i | 0.944239 | − | 0.329261i | \(-0.106800\pi\) |
−0.982366 | + | 0.186971i | \(0.940133\pi\) | |||||||
\(350\) | −3.26304 | + | 0.371418i | −0.174417 | + | 0.0198531i | ||||
\(351\) | 2.97085 | − | 2.04304i | 0.158572 | − | 0.109050i | ||||
\(352\) | −0.922576 | − | 0.922576i | −0.0491735 | − | 0.0491735i | ||||
\(353\) | 2.10419 | + | 1.21485i | 0.111995 | + | 0.0646602i | 0.554951 | − | 0.831883i | \(-0.312737\pi\) |
−0.442956 | + | 0.896543i | \(0.646070\pi\) | |||||||
\(354\) | −4.24006 | − | 2.44800i | −0.225357 | − | 0.130110i | ||||
\(355\) | 5.00571 | + | 7.63589i | 0.265676 | + | 0.405271i | ||||
\(356\) | −4.36788 | + | 4.36788i | −0.231497 | + | 0.231497i | ||||
\(357\) | −1.86781 | − | 3.23515i | −0.0988552 | − | 0.171222i | ||||
\(358\) | 0.597467 | + | 1.03484i | 0.0315771 | + | 0.0546931i | ||||
\(359\) | 21.3084 | − | 21.3084i | 1.12462 | − | 1.12462i | 0.133578 | − | 0.991038i | \(-0.457353\pi\) |
0.991038 | − | 0.133578i | \(-0.0426466\pi\) | |||||||
\(360\) | −2.18919 | − | 0.455475i | −0.115380 | − | 0.0240057i | ||||
\(361\) | 14.1175 | + | 8.15074i | 0.743026 | + | 0.428986i | ||||
\(362\) | 18.2122 | + | 10.5148i | 0.957211 | + | 0.552646i | ||||
\(363\) | 6.57447 | + | 6.57447i | 0.345070 | + | 0.345070i | ||||
\(364\) | 1.53752 | − | 1.80123i | 0.0805878 | − | 0.0944100i | ||||
\(365\) | −5.75212 | − | 5.13452i | −0.301080 | − | 0.268753i | ||||
\(366\) | −0.832121 | − | 3.10552i | −0.0434957 | − | 0.162328i | ||||
\(367\) | 10.6519 | − | 2.85418i | 0.556027 | − | 0.148987i | 0.0301464 | − | 0.999545i | \(-0.490403\pi\) |
0.525880 | + | 0.850559i | \(0.323736\pi\) | |||||||
\(368\) | 0.0557460 | − | 0.208047i | 0.00290596 | − | 0.0108452i | ||||
\(369\) | 5.50012 | + | 5.50012i | 0.286325 | + | 0.286325i | ||||
\(370\) | −2.02357 | − | 0.421017i | −0.105200 | − | 0.0218876i | ||||
\(371\) | −0.622536 | + | 2.32334i | −0.0323204 | + | 0.120622i | ||||
\(372\) | 7.26573i | 0.376711i | ||||||||
\(373\) | −2.85944 | − | 0.766184i | −0.148056 | − | 0.0396715i | 0.184030 | − | 0.982921i | \(-0.441086\pi\) |
−0.332086 | + | 0.943249i | \(0.607752\pi\) | |||||||
\(374\) | 3.71025 | − | 6.42635i | 0.191853 | − | 0.332299i | ||||
\(375\) | −10.4887 | − | 3.87141i | −0.541633 | − | 0.199919i | ||||
\(376\) | 7.92499i | 0.408700i | ||||||||
\(377\) | −0.177417 | + | 0.207847i | −0.00913745 | + | 0.0107047i | ||||
\(378\) | −0.464443 | + | 0.464443i | −0.0238884 | + | 0.0238884i | ||||
\(379\) | 19.7782 | − | 5.29955i | 1.01594 | − | 0.272220i | 0.287830 | − | 0.957682i | \(-0.407066\pi\) |
0.728109 | + | 0.685462i | \(0.240400\pi\) | |||||||
\(380\) | −3.28003 | − | 1.65349i | −0.168262 | − | 0.0848223i | ||||
\(381\) | −1.08684 | + | 0.627490i | −0.0556807 | + | 0.0321473i | ||||
\(382\) | 8.12353 | 0.415636 | ||||||||
\(383\) | 21.6891 | − | 12.5222i | 1.10826 | − | 0.639855i | 0.169882 | − | 0.985464i | \(-0.445661\pi\) |
0.938378 | + | 0.345610i | \(0.112328\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | −1.91316 | + | 0.108533i | −0.0975037 | + | 0.00553136i | ||||
\(386\) | −2.24370 | − | 3.88620i | −0.114201 | − | 0.197803i | ||||
\(387\) | 2.45871 | + | 9.17603i | 0.124983 | + | 0.466444i | ||||
\(388\) | −6.83472 | + | 11.8381i | −0.346981 | + | 0.600988i | ||||
\(389\) | 13.9873 | 0.709182 | 0.354591 | − | 0.935022i | \(-0.384620\pi\) | ||||
0.354591 | + | 0.935022i | \(0.384620\pi\) | |||||||
\(390\) | 7.43431 | − | 3.11946i | 0.376451 | − | 0.157960i | ||||
\(391\) | 1.22499 | 0.0619506 | ||||||||
\(392\) | 3.28429 | − | 5.68856i | 0.165882 | − | 0.287316i | ||||
\(393\) | −3.81453 | − | 14.2360i | −0.192418 | − | 0.718112i | ||||
\(394\) | 5.75874 | + | 9.97443i | 0.290121 | + | 0.502505i | ||||
\(395\) | 16.4761 | − | 18.4579i | 0.829001 | − | 0.928716i | ||||
\(396\) | −1.26026 | − | 0.337686i | −0.0633306 | − | 0.0169694i | ||||
\(397\) | −18.1215 | + | 10.4625i | −0.909494 | + | 0.525096i | −0.880268 | − | 0.474476i | \(-0.842637\pi\) |
−0.0292254 | + | 0.999573i | \(0.509304\pi\) | |||||||
\(398\) | −3.50967 | −0.175924 | ||||||||
\(399\) | −0.934417 | + | 0.539486i | −0.0467793 | + | 0.0270081i | ||||
\(400\) | −4.58508 | − | 1.99424i | −0.229254 | − | 0.0997121i | ||||
\(401\) | 28.6705 | − | 7.68224i | 1.43174 | − | 0.383633i | 0.542105 | − | 0.840311i | \(-0.317628\pi\) |
0.889632 | + | 0.456678i | \(0.150961\pi\) | |||||||
\(402\) | −9.39313 | + | 9.39313i | −0.468487 | + | 0.468487i | ||||
\(403\) | −14.8442 | − | 21.5854i | −0.739443 | − | 1.07525i | ||||
\(404\) | 10.5283i | 0.523802i | ||||||||
\(405\) | −2.12363 | + | 0.700141i | −0.105524 | + | 0.0347903i | ||||
\(406\) | 0.0248909 | − | 0.0431123i | 0.00123531 | − | 0.00213963i | ||||
\(407\) | −1.16492 | − | 0.312139i | −0.0577429 | − | 0.0154722i | ||||
\(408\) | − | 5.68744i | − | 0.281570i | ||||||
\(409\) | 3.61041 | − | 13.4742i | 0.178523 | − | 0.666259i | −0.817401 | − | 0.576069i | \(-0.804586\pi\) |
0.995925 | − | 0.0901897i | \(-0.0287473\pi\) | |||||||
\(410\) | 9.53562 | + | 14.5460i | 0.470931 | + | 0.718373i | ||||
\(411\) | 11.4823 | + | 11.4823i | 0.566382 | + | 0.566382i | ||||
\(412\) | 3.55647 | − | 13.2729i | 0.175215 | − | 0.653910i | ||||
\(413\) | −3.10622 | + | 0.832310i | −0.152847 | + | 0.0409553i | ||||
\(414\) | −0.0557460 | − | 0.208047i | −0.00273977 | − | 0.0102249i | ||||
\(415\) | −3.28183 | + | 3.67657i | −0.161098 | + | 0.180476i | ||||
\(416\) | 3.39840 | − | 1.20452i | 0.166620 | − | 0.0590563i | ||||
\(417\) | 5.44017 | + | 5.44017i | 0.266406 | + | 0.266406i | ||||
\(418\) | −1.85614 | − | 1.07164i | −0.0907867 | − | 0.0524158i | ||||
\(419\) | −6.36248 | − | 3.67338i | −0.310827 | − | 0.179456i | 0.336469 | − | 0.941694i | \(-0.390767\pi\) |
−0.647297 | + | 0.762238i | \(0.724101\pi\) | |||||||
\(420\) | −1.22829 | + | 0.805210i | −0.0599346 | + | 0.0392902i | ||||
\(421\) | 11.2103 | − | 11.2103i | 0.546356 | − | 0.546356i | −0.379029 | − | 0.925385i | \(-0.623742\pi\) |
0.925385 | + | 0.379029i | \(0.123742\pi\) | |||||||
\(422\) | −9.02202 | − | 15.6266i | −0.439185 | − | 0.760691i | ||||
\(423\) | 3.96250 | + | 6.86325i | 0.192663 | + | 0.333702i | ||||
\(424\) | −2.58944 | + | 2.58944i | −0.125754 | + | 0.125754i | ||||
\(425\) | 4.20633 | − | 28.1244i | 0.204037 | − | 1.36423i | ||||
\(426\) | 3.53618 | + | 2.04162i | 0.171329 | + | 0.0989166i | ||||
\(427\) | −1.82881 | − | 1.05586i | −0.0885022 | − | 0.0510968i | ||||
\(428\) | −9.06017 | − | 9.06017i | −0.437940 | − | 0.437940i | ||||
\(429\) | 4.43396 | − | 1.57156i | 0.214074 | − | 0.0758754i | ||||
\(430\) | 1.20312 | + | 21.2079i | 0.0580196 | + | 1.02274i | ||||
\(431\) | 9.52492 | + | 35.5475i | 0.458799 | + | 1.71226i | 0.676672 | + | 0.736285i | \(0.263422\pi\) |
−0.217872 | + | 0.975977i | \(0.569912\pi\) | |||||||
\(432\) | −0.965926 | + | 0.258819i | −0.0464731 | + | 0.0124524i | ||||
\(433\) | 2.19180 | − | 8.17993i | 0.105331 | − | 0.393102i | −0.893051 | − | 0.449955i | \(-0.851440\pi\) |
0.998383 | + | 0.0568530i | \(0.0181066\pi\) | |||||||
\(434\) | 3.37452 | + | 3.37452i | 0.161982 | + | 0.161982i | ||||
\(435\) | 0.141735 | − | 0.0929148i | 0.00679569 | − | 0.00445492i | ||||
\(436\) | 4.76713 | − | 17.7912i | 0.228304 | − | 0.852042i | ||||
\(437\) | − | 0.353818i | − | 0.0169254i | ||||||
\(438\) | −3.33070 | − | 0.892458i | −0.159147 | − | 0.0426433i | ||||
\(439\) | −8.93023 | + | 15.4676i | −0.426216 | + | 0.738229i | −0.996533 | − | 0.0831963i | \(-0.973487\pi\) |
0.570317 | + | 0.821425i | \(0.306820\pi\) | |||||||
\(440\) | −2.60514 | − | 1.31328i | −0.124195 | − | 0.0626080i | ||||
\(441\) | − | 6.56859i | − | 0.312790i | ||||||
\(442\) | 11.6197 | + | 16.8965i | 0.552692 | + | 0.803686i | ||||
\(443\) | −2.70502 | + | 2.70502i | −0.128519 | + | 0.128519i | −0.768440 | − | 0.639921i | \(-0.778967\pi\) |
0.639921 | + | 0.768440i | \(0.278967\pi\) | |||||||
\(444\) | −0.892850 | + | 0.239238i | −0.0423728 | + | 0.0113538i | ||||
\(445\) | −6.21763 | + | 12.3339i | −0.294744 | + | 0.584683i | ||||
\(446\) | −23.8968 | + | 13.7968i | −1.13155 | + | 0.653299i | ||||
\(447\) | 14.5936 | 0.690252 | ||||||||
\(448\) | −0.568824 | + | 0.328411i | −0.0268744 | + | 0.0155159i | ||||
\(449\) | 11.5315 | + | 3.08986i | 0.544205 | + | 0.145819i | 0.520440 | − | 0.853898i | \(-0.325768\pi\) |
0.0237652 | + | 0.999718i | \(0.492435\pi\) | |||||||
\(450\) | −4.96792 | + | 0.565478i | −0.234190 | + | 0.0266569i | ||||
\(451\) | 5.07427 | + | 8.78890i | 0.238938 | + | 0.413853i | ||||
\(452\) | 0.603092 | + | 2.25077i | 0.0283671 | + | 0.105867i | ||||
\(453\) | −6.14689 | + | 10.6467i | −0.288806 | + | 0.500227i | ||||
\(454\) | 12.4586 | 0.584711 | ||||||||
\(455\) | 2.00400 | − | 4.90162i | 0.0939491 | − | 0.229792i | ||||
\(456\) | −1.64272 | −0.0769273 | ||||||||
\(457\) | −20.3307 | + | 35.2137i | −0.951028 | + | 1.64723i | −0.207821 | + | 0.978167i | \(0.566637\pi\) |
−0.743207 | + | 0.669062i | \(0.766696\pi\) | |||||||
\(458\) | −4.54161 | − | 16.9495i | −0.212215 | − | 0.791998i | ||||
\(459\) | −2.84372 | − | 4.92547i | −0.132733 | − | 0.229901i | ||||
\(460\) | −0.0272782 | − | 0.480844i | −0.00127185 | − | 0.0224195i | ||||
\(461\) | 30.0601 | + | 8.05459i | 1.40004 | + | 0.375139i | 0.878359 | − | 0.478001i | \(-0.158639\pi\) |
0.521681 | + | 0.853141i | \(0.325305\pi\) | |||||||
\(462\) | −0.742155 | + | 0.428484i | −0.0345282 | + | 0.0199349i | ||||
\(463\) | −13.3638 | −0.621069 | −0.310534 | − | 0.950562i | \(-0.600508\pi\) | ||||
−0.310534 | + | 0.950562i | \(0.600508\pi\) | |||||||
\(464\) | 0.0656377 | − | 0.0378960i | 0.00304716 | − | 0.00175928i | ||||
\(465\) | 5.08703 | + | 15.4297i | 0.235905 | + | 0.715536i | ||||
\(466\) | −28.7990 | + | 7.71667i | −1.33409 | + | 0.357468i | ||||
\(467\) | 15.7888 | − | 15.7888i | 0.730619 | − | 0.730619i | −0.240123 | − | 0.970742i | \(-0.577188\pi\) |
0.970742 | + | 0.240123i | \(0.0771878\pi\) | |||||||
\(468\) | 2.34084 | − | 2.74234i | 0.108206 | − | 0.126765i | ||||
\(469\) | 8.72514i | 0.402890i | ||||||||
\(470\) | 5.54861 | + | 16.8298i | 0.255938 | + | 0.776299i | ||||
\(471\) | −2.34167 | + | 4.05589i | −0.107898 | + | 0.186886i | ||||
\(472\) | −4.72918 | − | 1.26718i | −0.217678 | − | 0.0583267i | ||||
\(473\) | 12.3945i | 0.569898i | ||||||||
\(474\) | 2.86379 | − | 10.6878i | 0.131538 | − | 0.490908i | ||||
\(475\) | −8.12324 | − | 1.21493i | −0.372720 | − | 0.0557446i | ||||
\(476\) | −2.64149 | − | 2.64149i | −0.121072 | − | 0.121072i | ||||
\(477\) | −0.947801 | + | 3.53724i | −0.0433968 | + | 0.161959i | ||||
\(478\) | −0.718839 | + | 0.192612i | −0.0328789 | + | 0.00880988i | ||||
\(479\) | −8.34864 | − | 31.1575i | −0.381459 | − | 1.42362i | −0.843674 | − | 0.536856i | \(-0.819612\pi\) |
0.462215 | − | 0.886768i | \(-0.347055\pi\) | |||||||
\(480\) | −2.23248 | + | 0.126648i | −0.101898 | + | 0.00578066i | ||||
\(481\) | 2.16375 | − | 2.53488i | 0.0986586 | − | 0.115580i | ||||
\(482\) | −12.0756 | − | 12.0756i | −0.550029 | − | 0.550029i | ||||
\(483\) | −0.122517 | − | 0.0707350i | −0.00557470 | − | 0.00321855i | ||||
\(484\) | 8.05205 | + | 4.64885i | 0.366002 | + | 0.211312i | ||||
\(485\) | −6.22610 | + | 29.9250i | −0.282713 | + | 1.35882i | ||||
\(486\) | −0.707107 | + | 0.707107i | −0.0320750 | + | 0.0320750i | ||||
\(487\) | −6.60545 | − | 11.4410i | −0.299321 | − | 0.518440i | 0.676659 | − | 0.736296i | \(-0.263427\pi\) |
−0.975981 | + | 0.217856i | \(0.930094\pi\) | |||||||
\(488\) | −1.60754 | − | 2.78433i | −0.0727697 | − | 0.126041i | ||||
\(489\) | 1.29691 | − | 1.29691i | 0.0586482 | − | 0.0586482i | ||||
\(490\) | 2.99183 | − | 14.3799i | 0.135157 | − | 0.649616i | ||||
\(491\) | −21.0123 | − | 12.1315i | −0.948274 | − | 0.547486i | −0.0557297 | − | 0.998446i | \(-0.517749\pi\) |
−0.892544 | + | 0.450960i | \(0.851082\pi\) | |||||||
\(492\) | 6.73624 | + | 3.88917i | 0.303693 | + | 0.175337i | ||||
\(493\) | 0.304807 | + | 0.304807i | 0.0137278 | + | 0.0137278i | ||||
\(494\) | 4.88027 | − | 3.35614i | 0.219574 | − | 0.151000i | ||||
\(495\) | −2.91276 | + | 0.165240i | −0.130919 | + | 0.00742699i | ||||
\(496\) | 1.88051 | + | 7.01816i | 0.0844374 | + | 0.315125i | ||||
\(497\) | 2.59057 | − | 0.694141i | 0.116203 | − | 0.0311365i | ||||
\(498\) | −0.570431 | + | 2.12888i | −0.0255616 | + | 0.0953973i | ||||
\(499\) | −23.6665 | − | 23.6665i | −1.05946 | − | 1.05946i | −0.998117 | − | 0.0613431i | \(-0.980462\pi\) |
−0.0613431 | − | 0.998117i | \(-0.519538\pi\) | |||||||
\(500\) | −11.1333 | − | 1.02483i | −0.497895 | − | 0.0458317i | ||||
\(501\) | 5.22720 | − | 19.5082i | 0.233534 | − | 0.871560i | ||||
\(502\) | 14.0315i | 0.626257i | ||||||||
\(503\) | −21.3318 | − | 5.71583i | −0.951137 | − | 0.254856i | −0.250292 | − | 0.968170i | \(-0.580527\pi\) |
−0.700845 | + | 0.713314i | \(0.747193\pi\) | |||||||
\(504\) | −0.328411 | + | 0.568824i | −0.0146286 | + | 0.0253374i | ||||
\(505\) | 7.37128 | + | 22.3582i | 0.328018 | + | 0.994926i | ||||
\(506\) | − | 0.281018i | − | 0.0124928i | ||||||
\(507\) | −1.35158 | + | 12.9295i | −0.0600256 | + | 0.574221i | ||||
\(508\) | −0.887405 | + | 0.887405i | −0.0393722 | + | 0.0393722i | ||||
\(509\) | 17.4786 | − | 4.68339i | 0.774727 | − | 0.207588i | 0.150268 | − | 0.988645i | \(-0.451986\pi\) |
0.624459 | + | 0.781058i | \(0.285320\pi\) | |||||||
\(510\) | −3.98201 | − | 12.0780i | −0.176326 | − | 0.534823i | ||||
\(511\) | −1.96141 | + | 1.13242i | −0.0867679 | + | 0.0500955i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.42263 | + | 0.821359i | −0.0628109 | + | 0.0362639i | ||||
\(514\) | 16.7017 | + | 4.47521i | 0.736681 | + | 0.197393i | ||||
\(515\) | −1.74029 | − | 30.6768i | −0.0766863 | − | 1.35178i | ||||
\(516\) | 4.74986 | + | 8.22700i | 0.209101 | + | 0.362173i | ||||
\(517\) | 2.67616 | + | 9.98757i | 0.117697 | + | 0.439253i | ||||
\(518\) | −0.303565 | + | 0.525790i | −0.0133379 | + | 0.0231019i | ||||
\(519\) | 10.1589 | 0.445927 | ||||||||
\(520\) | 6.37362 | − | 4.93731i | 0.279502 | − | 0.216515i | ||||
\(521\) | 30.3276 | 1.32868 | 0.664339 | − | 0.747432i | \(-0.268713\pi\) | ||||
0.664339 | + | 0.747432i | \(0.268713\pi\) | |||||||
\(522\) | 0.0378960 | − | 0.0656377i | 0.00165866 | − | 0.00287289i | ||||
\(523\) | 11.7984 | + | 44.0321i | 0.515906 | + | 1.92539i | 0.336905 | + | 0.941539i | \(0.390620\pi\) |
0.179001 | + | 0.983849i | \(0.442713\pi\) | |||||||
\(524\) | −7.36910 | − | 12.7637i | −0.321921 | − | 0.557583i | ||||
\(525\) | −2.04468 | + | 2.56995i | −0.0892373 | + | 0.112162i | ||||
\(526\) | 25.0956 | + | 6.72435i | 1.09422 | + | 0.293196i | ||||
\(527\) | −35.7871 | + | 20.6617i | −1.55891 | + | 0.900038i | ||||
\(528\) | −1.30472 | −0.0567806 | ||||||||
\(529\) | −19.8784 | + | 11.4768i | −0.864279 | + | 0.498991i | ||||
\(530\) | −3.68604 | + | 7.31199i | −0.160111 | + | 0.317612i | ||||
\(531\) | −4.72918 | + | 1.26718i | −0.205229 | + | 0.0549909i | ||||
\(532\) | −0.762948 | + | 0.762948i | −0.0330780 | + | 0.0330780i | ||||
\(533\) | −27.9581 | + | 2.20829i | −1.21100 | + | 0.0956515i | ||||
\(534\) | 6.17712i | 0.267310i | ||||||||
\(535\) | −25.5839 | − | 12.8971i | −1.10609 | − | 0.557589i | ||||
\(536\) | −6.64195 | + | 11.5042i | −0.286888 | + | 0.496905i | ||||
\(537\) | 1.15422 | + | 0.309271i | 0.0498081 | + | 0.0133461i | ||||
\(538\) | − | 25.0241i | − | 1.07887i | ||||||
\(539\) | 2.21812 | − | 8.27814i | 0.0955412 | − | 0.356565i | ||||
\(540\) | −1.87006 | + | 1.22592i | −0.0804745 | + | 0.0527552i | ||||
\(541\) | −7.31140 | − | 7.31140i | −0.314342 | − | 0.314342i | 0.532247 | − | 0.846589i | \(-0.321348\pi\) |
−0.846589 | + | 0.532247i | \(0.821348\pi\) | |||||||
\(542\) | 0.679193 | − | 2.53478i | 0.0291738 | − | 0.108878i | ||||
\(543\) | 20.3130 | − | 5.44286i | 0.871716 | − | 0.233576i | ||||
\(544\) | −1.47202 | − | 5.49364i | −0.0631122 | − | 0.235538i | ||||
\(545\) | −2.33270 | − | 41.1195i | −0.0999219 | − | 1.76137i | ||||
\(546\) | −0.186473 | − | 2.36085i | −0.00798030 | − | 0.101035i | ||||
\(547\) | −30.7225 | − | 30.7225i | −1.31360 | − | 1.31360i | −0.918742 | − | 0.394857i | \(-0.870794\pi\) |
−0.394857 | − | 0.918742i | \(-0.629206\pi\) | |||||||
\(548\) | 14.0629 | + | 8.11924i | 0.600739 | + | 0.346837i | ||||
\(549\) | −2.78433 | − | 1.60754i | −0.118832 | − | 0.0686079i | ||||
\(550\) | −6.45184 | − | 0.964948i | −0.275107 | − | 0.0411455i | ||||
\(551\) | 0.0880381 | − | 0.0880381i | 0.00375055 | − | 0.00375055i | ||||
\(552\) | −0.107693 | − | 0.186530i | −0.00458372 | − | 0.00793923i | ||||
\(553\) | −3.63381 | − | 6.29395i | −0.154525 | − | 0.267646i | ||||
\(554\) | −20.7883 | + | 20.7883i | −0.883210 | + | 0.883210i | ||||
\(555\) | −1.72858 | + | 1.13317i | −0.0733742 | + | 0.0481006i | ||||
\(556\) | 6.66282 | + | 3.84678i | 0.282566 | + | 0.163140i | ||||
\(557\) | −14.1530 | − | 8.17126i | −0.599683 | − | 0.346227i | 0.169234 | − | 0.985576i | \(-0.445871\pi\) |
−0.768917 | + | 0.639349i | \(0.779204\pi\) | |||||||
\(558\) | 5.13765 | + | 5.13765i | 0.217494 | + | 0.217494i | ||||
\(559\) | −30.9193 | − | 14.7370i | −1.30775 | − | 0.623310i | ||||
\(560\) | −0.978038 | + | 1.09568i | −0.0413296 | + | 0.0463009i | ||||
\(561\) | −1.92057 | − | 7.16766i | −0.0810865 | − | 0.302619i | ||||
\(562\) | −14.1659 | + | 3.79573i | −0.597551 | + | 0.160113i | ||||
\(563\) | 4.87699 | − | 18.2012i | 0.205541 | − | 0.767088i | −0.783743 | − | 0.621085i | \(-0.786692\pi\) |
0.989284 | − | 0.146003i | \(-0.0466410\pi\) | |||||||
\(564\) | 5.60382 | + | 5.60382i | 0.235963 | + | 0.235963i | ||||
\(565\) | 2.85660 | + | 4.35755i | 0.120178 | + | 0.183324i | ||||
\(566\) | 3.02271 | − | 11.2809i | 0.127054 | − | 0.474171i | ||||
\(567\) | 0.656821i | 0.0275839i | ||||||||
\(568\) | 3.94410 | + | 1.05682i | 0.165491 | + | 0.0443431i | ||||
\(569\) | −5.61694 | + | 9.72882i | −0.235474 | + | 0.407853i | −0.959410 | − | 0.282014i | \(-0.908998\pi\) |
0.723936 | + | 0.689867i | \(0.242331\pi\) | |||||||
\(570\) | −3.48852 | + | 1.15013i | −0.146118 | + | 0.0481738i | ||||
\(571\) | 38.3139i | 1.60339i | 0.597735 | + | 0.801693i | \(0.296067\pi\) | ||||
−0.597735 | + | 0.801693i | \(0.703933\pi\) | |||||||
\(572\) | 3.87613 | − | 2.66560i | 0.162069 | − | 0.111454i | ||||
\(573\) | 5.74420 | − | 5.74420i | 0.239968 | − | 0.239968i | ||||
\(574\) | 4.93489 | − | 1.32230i | 0.205978 | − | 0.0551918i | ||||
\(575\) | −0.394587 | − | 1.00204i | −0.0164554 | − | 0.0417878i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | −18.0766 | −0.752540 | −0.376270 | − | 0.926510i | \(-0.622793\pi\) | ||||
−0.376270 | + | 0.926510i | \(0.622793\pi\) | |||||||
\(578\) | 13.2908 | − | 7.67347i | 0.552826 | − | 0.319174i | ||||
\(579\) | −4.33450 | − | 1.16143i | −0.180136 | − | 0.0482672i | ||||
\(580\) | 0.112858 | − | 0.126433i | 0.00468616 | − | 0.00524983i | ||||
\(581\) | 0.723809 | + | 1.25367i | 0.0300287 | + | 0.0520112i | ||||
\(582\) | 3.53791 | + | 13.2037i | 0.146651 | + | 0.547310i | ||||
\(583\) | −2.38896 | + | 4.13779i | −0.0989404 | + | 0.171370i | ||||
\(584\) | −3.44819 | −0.142687 | ||||||||
\(585\) | 3.05106 | − | 7.46264i | 0.126146 | − | 0.308542i | ||||
\(586\) | −11.4407 | −0.472609 | ||||||||
\(587\) | −7.51880 | + | 13.0229i | −0.310334 | + | 0.537514i | −0.978435 | − | 0.206557i | \(-0.933774\pi\) |
0.668101 | + | 0.744071i | \(0.267108\pi\) | |||||||
\(588\) | −1.70008 | − | 6.34477i | −0.0701099 | − | 0.261654i | ||||
\(589\) | 5.96777 | + | 10.3365i | 0.245898 | + | 0.425907i | ||||
\(590\) | −10.9302 | + | 0.620069i | −0.449990 | + | 0.0255278i | ||||
\(591\) | 11.1250 | + | 2.98094i | 0.457623 | + | 0.122620i | ||||
\(592\) | −0.800508 | + | 0.462173i | −0.0329007 | + | 0.0189952i | ||||
\(593\) | −36.6579 | −1.50536 | −0.752680 | − | 0.658387i | \(-0.771239\pi\) | ||||
−0.752680 | + | 0.658387i | \(0.771239\pi\) | |||||||
\(594\) | −1.12992 | + | 0.652360i | −0.0463612 | + | 0.0267666i | ||||
\(595\) | −7.45896 | − | 3.76013i | −0.305787 | − | 0.154150i | ||||
\(596\) | 14.0963 | − | 3.77709i | 0.577407 | − | 0.154716i | ||||
\(597\) | −2.48171 | + | 2.48171i | −0.101570 | + | 0.101570i | ||||
\(598\) | 0.701028 | + | 0.334131i | 0.0286672 | + | 0.0136636i | ||||
\(599\) | − | 9.07935i | − | 0.370972i | −0.982647 | − | 0.185486i | \(-0.940614\pi\) | ||
0.982647 | − | 0.185486i | \(-0.0593860\pi\) | |||||||
\(600\) | −4.65229 | + | 1.83200i | −0.189929 | + | 0.0747912i | ||||
\(601\) | 17.2295 | − | 29.8423i | 0.702805 | − | 1.21729i | −0.264673 | − | 0.964338i | \(-0.585264\pi\) |
0.967478 | − | 0.252956i | \(-0.0814027\pi\) | |||||||
\(602\) | 6.02701 | + | 1.61493i | 0.245643 | + | 0.0658197i | ||||
\(603\) | 13.2839i | 0.540962i | ||||||||
\(604\) | −3.18187 | + | 11.8749i | −0.129468 | + | 0.483182i | ||||
\(605\) | 20.3544 | + | 4.23488i | 0.827525 | + | 0.172172i | ||||
\(606\) | 7.44463 | + | 7.44463i | 0.302417 | + | 0.302417i | ||||
\(607\) | −7.45542 | + | 27.8240i | −0.302606 | + | 1.12934i | 0.632381 | + | 0.774658i | \(0.282078\pi\) |
−0.934987 | + | 0.354683i | \(0.884589\pi\) | |||||||
\(608\) | −1.58674 | + | 0.425167i | −0.0643509 | + | 0.0172428i | ||||
\(609\) | −0.0128845 | − | 0.0480855i | −0.000522105 | − | 0.00194852i | ||||
\(610\) | −5.36323 | − | 4.78739i | −0.217151 | − | 0.193836i | ||||
\(611\) | −28.0970 | − | 5.19927i | −1.13668 | − | 0.210340i | ||||
\(612\) | −4.02163 | − | 4.02163i | −0.162565 | − | 0.162565i | ||||
\(613\) | 13.8536 | + | 7.99836i | 0.559540 | + | 0.323051i | 0.752961 | − | 0.658065i | \(-0.228625\pi\) |
−0.193421 | + | 0.981116i | \(0.561958\pi\) | |||||||
\(614\) | −23.2985 | − | 13.4514i | −0.940253 | − | 0.542855i | ||||
\(615\) | 17.0282 | + | 3.54284i | 0.686645 | + | 0.142861i | ||||
\(616\) | −0.605967 | + | 0.605967i | −0.0244151 | + | 0.0244151i | ||||
\(617\) | −3.05979 | − | 5.29972i | −0.123183 | − | 0.213359i | 0.797838 | − | 0.602871i | \(-0.205977\pi\) |
−0.921021 | + | 0.389513i | \(0.872643\pi\) | |||||||
\(618\) | −6.87058 | − | 11.9002i | −0.276375 | − | 0.478696i | ||||
\(619\) | 1.83202 | − | 1.83202i | 0.0736353 | − | 0.0736353i | −0.669330 | − | 0.742965i | \(-0.733419\pi\) |
0.742965 | + | 0.669330i | \(0.233419\pi\) | |||||||
\(620\) | 8.90720 | + | 13.5873i | 0.357722 | + | 0.545681i | ||||
\(621\) | −0.186530 | − | 0.107693i | −0.00748518 | − | 0.00432157i | ||||
\(622\) | 6.39687 | + | 3.69324i | 0.256491 | + | 0.148085i | ||||
\(623\) | 2.86892 | + | 2.86892i | 0.114941 | + | 0.114941i | ||||
\(624\) | 1.55131 | − | 3.25476i | 0.0621022 | − | 0.130294i | ||||
\(625\) | −24.3605 | + | 5.61850i | −0.974419 | + | 0.224740i | ||||
\(626\) | −5.08819 | − | 18.9894i | −0.203365 | − | 0.758968i | ||||
\(627\) | −2.07025 | + | 0.554723i | −0.0826780 | + | 0.0221535i | ||||
\(628\) | −1.21214 | + | 4.52376i | −0.0483696 | + | 0.180518i | ||||
\(629\) | −3.71738 | − | 3.71738i | −0.148221 | − | 0.148221i | ||||
\(630\) | −0.299166 | + | 1.43790i | −0.0119191 | + | 0.0572875i | ||||
\(631\) | 7.50451 | − | 28.0072i | 0.298750 | − | 1.11495i | −0.639444 | − | 0.768838i | \(-0.720835\pi\) |
0.938193 | − | 0.346111i | \(-0.112498\pi\) | |||||||
\(632\) | − | 11.0648i | − | 0.440136i | ||||||
\(633\) | −17.4292 | − | 4.67014i | −0.692749 | − | 0.185622i | ||||
\(634\) | 12.1157 | − | 20.9850i | 0.481175 | − | 0.833419i | ||||
\(635\) | −1.26321 | + | 2.50583i | −0.0501290 | + | 0.0994408i | ||||
\(636\) | 3.66202i | 0.145209i | ||||||||
\(637\) | 18.0133 | + | 15.3760i | 0.713714 | + | 0.609221i | ||||
\(638\) | 0.0699238 | − | 0.0699238i | 0.00276831 | − | 0.00276831i | ||||
\(639\) | 3.94410 | − | 1.05682i | 0.156026 | − | 0.0418071i | ||||
\(640\) | −2.12363 | + | 0.700141i | −0.0839438 | + | 0.0276755i | ||||
\(641\) | −18.3265 | + | 10.5808i | −0.723851 | + | 0.417916i | −0.816169 | − | 0.577814i | \(-0.803906\pi\) |
0.0923172 | + | 0.995730i | \(0.470573\pi\) | |||||||
\(642\) | −12.8130 | −0.505690 | ||||||||
\(643\) | 11.7319 | − | 6.77343i | 0.462662 | − | 0.267118i | −0.250501 | − | 0.968116i | \(-0.580595\pi\) |
0.713163 | + | 0.700998i | \(0.247262\pi\) | |||||||
\(644\) | −0.136650 | − | 0.0366151i | −0.00538475 | − | 0.00144284i | ||||
\(645\) | 15.8470 | + | 14.1455i | 0.623975 | + | 0.556980i | ||||
\(646\) | −4.67143 | − | 8.09115i | −0.183795 | − | 0.318342i | ||||
\(647\) | −10.1296 | − | 37.8041i | −0.398235 | − | 1.48623i | −0.816200 | − | 0.577769i | \(-0.803923\pi\) |
0.417966 | − | 0.908463i | \(-0.362743\pi\) | |||||||
\(648\) | −0.500000 | + | 0.866025i | −0.0196419 | + | 0.0340207i | ||||
\(649\) | −6.38791 | −0.250747 | ||||||||
\(650\) | 10.0784 | − | 14.9474i | 0.395307 | − | 0.586287i | ||||
\(651\) | 4.77229 | 0.187041 | ||||||||
\(652\) | 0.917052 | − | 1.58838i | 0.0359145 | − | 0.0622058i | ||||
\(653\) | 3.12337 | + | 11.6566i | 0.122227 | + | 0.456157i | 0.999726 | − | 0.0234221i | \(-0.00745618\pi\) |
−0.877499 | + | 0.479579i | \(0.840790\pi\) | |||||||
\(654\) | −9.20939 | − | 15.9511i | −0.360115 | − | 0.623738i | ||||
\(655\) | −24.5856 | − | 21.9459i | −0.960639 | − | 0.857497i | ||||
\(656\) | 7.51330 | + | 2.01318i | 0.293345 | + | 0.0786015i | ||||
\(657\) | −2.98622 | + | 1.72410i | −0.116504 | + | 0.0672634i | ||||
\(658\) | 5.20530 | 0.202924 | ||||||||
\(659\) | −18.1821 | + | 10.4974i | −0.708273 | + | 0.408921i | −0.810421 | − | 0.585848i | \(-0.800762\pi\) |
0.102149 | + | 0.994769i | \(0.467428\pi\) | |||||||
\(660\) | −2.77074 | + | 0.913487i | −0.107851 | + | 0.0355574i | ||||
\(661\) | −20.7944 | + | 5.57184i | −0.808808 | + | 0.216719i | −0.639448 | − | 0.768835i | \(-0.720837\pi\) |
−0.169360 | + | 0.985554i | \(0.554170\pi\) | |||||||
\(662\) | 5.52423 | − | 5.52423i | 0.214705 | − | 0.214705i | ||||
\(663\) | 20.1640 | + | 3.73130i | 0.783106 | + | 0.144912i | ||||
\(664\) | 2.20398i | 0.0855309i | ||||||||
\(665\) | −1.08605 | + | 2.15439i | −0.0421151 | + | 0.0835437i | ||||
\(666\) | −0.462173 | + | 0.800508i | −0.0179088 | + | 0.0310190i | ||||
\(667\) | 0.0157683 | + | 0.00422510i | 0.000610550 | + | 0.000163596i | ||||
\(668\) | − | 20.1963i | − | 0.781420i | ||||||
\(669\) | −7.14177 | + | 26.6535i | −0.276117 | + | 1.03048i | ||||
\(670\) | −6.05049 | + | 29.0809i | −0.233751 | + | 1.12349i | ||||
\(671\) | −2.96615 | − | 2.96615i | −0.114507 | − | 0.114507i | ||||
\(672\) | −0.169998 | + | 0.634441i | −0.00655781 | + | 0.0244741i | ||||
\(673\) | 13.8145 | − | 3.70159i | 0.532511 | − | 0.142686i | 0.0174635 | − | 0.999848i | \(-0.494441\pi\) |
0.515048 | + | 0.857162i | \(0.327774\pi\) | |||||||
\(674\) | −1.17548 | − | 4.38695i | −0.0452778 | − | 0.168979i | ||||
\(675\) | −3.11300 | + | 3.91270i | −0.119819 | + | 0.150600i | ||||
\(676\) | 2.04089 | + | 12.8388i | 0.0784958 | + | 0.493800i | ||||
\(677\) | −23.0498 | − | 23.0498i | −0.885875 | − | 0.885875i | 0.108249 | − | 0.994124i | \(-0.465476\pi\) |
−0.994124 | + | 0.108249i | \(0.965476\pi\) | |||||||
\(678\) | 2.01799 | + | 1.16508i | 0.0775003 | + | 0.0447448i | ||||
\(679\) | 7.77551 | + | 4.48919i | 0.298397 | + | 0.172279i | ||||
\(680\) | −6.97234 | − | 10.6358i | −0.267377 | − | 0.407866i | ||||
\(681\) | 8.80956 | − | 8.80956i | 0.337583 | − | 0.337583i | ||||
\(682\) | 4.73987 | + | 8.20970i | 0.181499 | + | 0.314366i | ||||
\(683\) | 5.14139 | + | 8.90514i | 0.196730 | + | 0.340746i | 0.947466 | − | 0.319856i | \(-0.103635\pi\) |
−0.750736 | + | 0.660602i | \(0.770301\pi\) | |||||||
\(684\) | −1.16158 | + | 1.16158i | −0.0444140 | + | 0.0444140i | ||||
\(685\) | 35.5491 | + | 7.39623i | 1.35826 | + | 0.282596i | ||||
\(686\) | −7.71813 | − | 4.45607i | −0.294680 | − | 0.170133i | ||||
\(687\) | −15.1965 | − | 8.77371i | −0.579783 | − | 0.334738i | ||||
\(688\) | 6.71732 | + | 6.71732i | 0.256095 | + | 0.256095i | ||||
\(689\) | −7.48168 | − | 10.8793i | −0.285029 | − | 0.414469i | ||||
\(690\) | −0.359297 | − | 0.320720i | −0.0136782 | − | 0.0122096i | ||||
\(691\) | 2.69876 | + | 10.0719i | 0.102666 | + | 0.383153i | 0.998070 | − | 0.0621008i | \(-0.0197800\pi\) |
−0.895404 | + | 0.445254i | \(0.853113\pi\) | |||||||
\(692\) | 9.81276 | − | 2.62932i | 0.373025 | − | 0.0999518i | ||||
\(693\) | −0.221799 | + | 0.827767i | −0.00842546 | + | 0.0314443i | ||||
\(694\) | 13.1963 | + | 13.1963i | 0.500923 | + | 0.500923i | ||||
\(695\) | 16.8426 | + | 3.50423i | 0.638878 | + | 0.132923i | ||||
\(696\) | 0.0196164 | − | 0.0732094i | 0.000743558 | − | 0.00277499i | ||||
\(697\) | 44.2388i | 1.67566i | ||||||||
\(698\) | −2.65821 | − | 0.712266i | −0.100615 | − | 0.0269597i | ||||
\(699\) | −14.9075 | + | 25.8205i | −0.563852 | + | 0.976620i | ||||
\(700\) | −1.30986 | + | 3.01158i | −0.0495081 | + | 0.113827i | ||||
\(701\) | − | 48.0206i | − | 1.81371i | −0.421440 | − | 0.906856i | \(-0.638475\pi\) | ||
0.421440 | − | 0.906856i | \(-0.361525\pi\) | |||||||
\(702\) | −0.283902 | − | 3.59436i | −0.0107152 | − | 0.135660i | ||||
\(703\) | −1.07370 | + | 1.07370i | −0.0404953 | + | 0.0404953i | ||||
\(704\) | −1.26026 | + | 0.337686i | −0.0474979 | + | 0.0127270i | ||||
\(705\) | 15.8239 | + | 7.97697i | 0.595962 | + | 0.300430i | ||||
\(706\) | 2.10419 | − | 1.21485i | 0.0791922 | − | 0.0457217i | ||||
\(707\) | 6.91520 | 0.260073 | ||||||||
\(708\) | −4.24006 | + | 2.44800i | −0.159351 | + | 0.0920016i | ||||
\(709\) | 16.6659 | + | 4.46562i | 0.625901 | + | 0.167710i | 0.557809 | − | 0.829969i | \(-0.311642\pi\) |
0.0680921 | + | 0.997679i | \(0.478309\pi\) | |||||||
\(710\) | 9.11573 | − | 0.517133i | 0.342107 | − | 0.0194077i | ||||
\(711\) | −5.53242 | − | 9.58244i | −0.207482 | − | 0.359369i | ||||
\(712\) | 1.59876 | + | 5.96664i | 0.0599159 | + | 0.223609i | ||||
\(713\) | −0.782468 | + | 1.35527i | −0.0293037 | + | 0.0507554i | ||||
\(714\) | −3.73563 | −0.139802 | ||||||||
\(715\) | 6.36517 | − | 8.37458i | 0.238044 | − | 0.313192i | ||||
\(716\) | 1.19493 | 0.0446568 | ||||||||
\(717\) | −0.372098 | + | 0.644493i | −0.0138963 | + | 0.0240690i | ||||
\(718\) | −7.79943 | − | 29.1079i | −0.291072 | − | 1.08630i | ||||
\(719\) | 9.27325 | + | 16.0617i | 0.345834 | + | 0.599002i | 0.985505 | − | 0.169647i | \(-0.0542627\pi\) |
−0.639671 | + | 0.768649i | \(0.720929\pi\) | |||||||
\(720\) | −1.48905 | + | 1.66815i | −0.0554935 | + | 0.0621684i | ||||
\(721\) | −8.71794 | − | 2.33597i | −0.324673 | − | 0.0869959i | ||||
\(722\) | 14.1175 | − | 8.15074i | 0.525399 | − | 0.303339i | ||||
\(723\) | −17.0775 | −0.635119 | ||||||||
\(724\) | 18.2122 | − | 10.5148i | 0.676850 | − | 0.390780i | ||||
\(725\) | 0.151147 | − | 0.347512i | 0.00561348 | − | 0.0129063i | ||||
\(726\) | 8.98090 | − | 2.40642i | 0.333312 | − | 0.0893108i | ||||
\(727\) | −3.86950 | + | 3.86950i | −0.143512 | + | 0.143512i | −0.775212 | − | 0.631701i | \(-0.782357\pi\) |
0.631701 | + | 0.775212i | \(0.282357\pi\) | |||||||
\(728\) | −0.791152 | − | 2.23214i | −0.0293220 | − | 0.0827287i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −7.32269 | + | 2.41422i | −0.271025 | + | 0.0893543i | ||||
\(731\) | −27.0145 | + | 46.7905i | −0.999169 | + | 1.73061i | ||||
\(732\) | −3.10552 | − | 0.832121i | −0.114783 | − | 0.0307561i | ||||
\(733\) | 45.7696i | 1.69054i | 0.534339 | + | 0.845270i | \(0.320561\pi\) | ||||
−0.534339 | + | 0.845270i | \(0.679439\pi\) | |||||||
\(734\) | 2.85418 | − | 10.6519i | 0.105350 | − | 0.393170i | ||||
\(735\) | −8.05256 | − | 12.2836i | −0.297023 | − | 0.453089i | ||||
\(736\) | −0.152301 | − | 0.152301i | −0.00561388 | − | 0.00561388i | ||||
\(737\) | −4.48579 | + | 16.7412i | −0.165236 | + | 0.616670i | ||||
\(738\) | 7.51330 | − | 2.01318i | 0.276568 | − | 0.0741063i | ||||
\(739\) | 2.54621 | + | 9.50257i | 0.0936637 | + | 0.349558i | 0.996813 | − | 0.0797679i | \(-0.0254179\pi\) |
−0.903150 | + | 0.429326i | \(0.858751\pi\) | |||||||
\(740\) | −1.37640 | + | 1.54195i | −0.0505973 | + | 0.0566833i | ||||
\(741\) | 1.07772 | − | 5.82403i | 0.0395911 | − | 0.213951i | ||||
\(742\) | 1.70080 | + | 1.70080i | 0.0624383 | + | 0.0624383i | ||||
\(743\) | 26.9827 | + | 15.5785i | 0.989899 | + | 0.571518i | 0.905244 | − | 0.424892i | \(-0.139688\pi\) |
0.0846546 | + | 0.996410i | \(0.473021\pi\) | |||||||
\(744\) | 6.29231 | + | 3.63287i | 0.230687 | + | 0.133187i | ||||
\(745\) | 27.2908 | − | 17.8905i | 0.999858 | − | 0.655458i | ||||
\(746\) | −2.09325 | + | 2.09325i | −0.0766395 | + | 0.0766395i | ||||
\(747\) | 1.10199 | + | 1.90870i | 0.0403196 | + | 0.0698357i | ||||
\(748\) | −3.71025 | − | 6.42635i | −0.135660 | − | 0.234971i | ||||
\(749\) | −5.95091 | + | 5.95091i | −0.217442 | + | 0.217442i | ||||
\(750\) | −8.59707 | + | 7.14775i | −0.313921 | + | 0.260999i | ||||
\(751\) | 13.1964 | + | 7.61892i | 0.481542 | + | 0.278018i | 0.721059 | − | 0.692874i | \(-0.243656\pi\) |
−0.239517 | + | 0.970892i | \(0.576989\pi\) | |||||||
\(752\) | 6.86325 | + | 3.96250i | 0.250277 | + | 0.144497i | ||||
\(753\) | 9.92177 | + | 9.92177i | 0.361569 | + | 0.361569i | ||||
\(754\) | 0.0912926 | + | 0.257572i | 0.00332468 | + | 0.00938020i | ||||
\(755\) | 1.55698 | + | 27.4456i | 0.0566644 | + | 0.998848i | ||||
\(756\) | 0.169998 | + | 0.634441i | 0.00618276 | + | 0.0230744i | ||||
\(757\) | 46.2033 | − | 12.3801i | 1.67929 | − | 0.449964i | 0.711696 | − | 0.702487i | \(-0.247927\pi\) |
0.967591 | + | 0.252524i | \(0.0812606\pi\) | |||||||
\(758\) | 5.29955 | − | 19.7782i | 0.192488 | − | 0.718377i | ||||
\(759\) | −0.198710 | − | 0.198710i | −0.00721271 | − | 0.00721271i | ||||
\(760\) | −3.07198 | + | 2.01384i | −0.111432 | + | 0.0730496i | ||||
\(761\) | 5.54307 | − | 20.6870i | 0.200936 | − | 0.749904i | −0.789714 | − | 0.613476i | \(-0.789771\pi\) |
0.990650 | − | 0.136429i | \(-0.0435624\pi\) | |||||||
\(762\) | 1.25498i | 0.0454631i | ||||||||
\(763\) | −11.6856 | − | 3.13115i | −0.423048 | − | 0.113355i | ||||
\(764\) | 4.06177 | − | 7.03518i | 0.146950 | − | 0.254524i | ||||
\(765\) | −11.3561 | − | 5.72474i | −0.410582 | − | 0.206978i | ||||
\(766\) | − | 25.0444i | − | 0.904891i | ||||||
\(767\) | 7.59523 | − | 15.9353i | 0.274248 | − | 0.575390i | ||||
\(768\) | −0.707107 | + | 0.707107i | −0.0255155 | + | 0.0255155i | ||||
\(769\) | −22.8775 | + | 6.13001i | −0.824984 | + | 0.221054i | −0.646524 | − | 0.762893i | \(-0.723778\pi\) |
−0.178460 | + | 0.983947i | \(0.557111\pi\) | |||||||
\(770\) | −0.862588 | + | 1.71111i | −0.0310855 | + | 0.0616642i | ||||
\(771\) | 14.9743 | − | 8.64544i | 0.539288 | − | 0.311358i | ||||
\(772\) | −4.48740 | −0.161505 | ||||||||
\(773\) | −25.1486 | + | 14.5195i | −0.904531 | + | 0.522231i | −0.878668 | − | 0.477434i | \(-0.841567\pi\) |
−0.0258639 | + | 0.999665i | \(0.508234\pi\) | |||||||
\(774\) | 9.17603 | + | 2.45871i | 0.329825 | + | 0.0883765i | ||||
\(775\) | 28.4287 | + | 22.6182i | 1.02119 | + | 0.812470i | ||||
\(776\) | 6.83472 | + | 11.8381i | 0.245352 | + | 0.424963i | ||||
\(777\) | 0.157137 | + | 0.586443i | 0.00563725 | + | 0.0210385i | ||||
\(778\) | 6.99363 | − | 12.1133i | 0.250734 | − | 0.434283i | ||||
\(779\) | 12.7776 | 0.457805 | ||||||||
\(780\) | 1.01563 | − | 7.99803i | 0.0363653 | − | 0.286375i | ||||
\(781\) | 5.32747 | 0.190632 | ||||||||
\(782\) | 0.612497 | − | 1.06088i | 0.0219028 | − | 0.0379368i | ||||
\(783\) | −0.0196164 | − | 0.0732094i | −0.000701033 | − | 0.00261629i | ||||
\(784\) | −3.28429 | − | 5.68856i | −0.117296 | − | 0.203163i | ||||
\(785\) | 0.593136 | + | 10.4555i | 0.0211699 | + | 0.373171i | ||||
\(786\) | −14.2360 | − | 3.81453i | −0.507782 | − | 0.136060i | ||||
\(787\) | 29.4456 | − | 17.0004i | 1.04962 | − | 0.605999i | 0.127078 | − | 0.991893i | \(-0.459440\pi\) |
0.922543 | + | 0.385894i | \(0.126107\pi\) | |||||||
\(788\) | 11.5175 | 0.410293 | ||||||||
\(789\) | 22.5001 | − | 12.9904i | 0.801025 | − | 0.462472i | ||||
\(790\) | −7.74695 | − | 23.4976i | −0.275624 | − | 0.836008i | ||||
\(791\) | 1.47835 | − | 0.396124i | 0.0525642 | − | 0.0140845i | ||||
\(792\) | −0.922576 | + | 0.922576i | −0.0327823 | + | 0.0327823i | ||||
\(793\) | 10.9261 | − | 3.87260i | 0.387997 | − | 0.137520i | ||||
\(794\) | 20.9249i | 0.742598i | ||||||||
\(795\) | 2.56393 | + | 7.77678i | 0.0909332 | + | 0.275814i | ||||
\(796\) | −1.75484 | + | 3.03947i | −0.0621985 | + | 0.107731i | ||||
\(797\) | 29.2332 | + | 7.83302i | 1.03549 | + | 0.277460i | 0.736245 | − | 0.676715i | \(-0.236597\pi\) |
0.299249 | + | 0.954175i | \(0.403264\pi\) | |||||||
\(798\) | 1.07897i | 0.0381952i | ||||||||
\(799\) | −11.6657 | + | 43.5371i | −0.412704 | + | 1.54023i | ||||
\(800\) | −4.01961 | + | 2.97368i | −0.142115 | + | 0.105135i | ||||
\(801\) | 4.36788 | + | 4.36788i | 0.154331 | + | 0.154331i | ||||
\(802\) | 7.68224 | − | 28.6705i | 0.271269 | − | 1.01239i | ||||
\(803\) | −4.34563 | + | 1.16441i | −0.153354 | + | 0.0410911i | ||||
\(804\) | 3.43813 | + | 12.8313i | 0.121253 | + | 0.452524i | ||||
\(805\) | −0.315829 | + | 0.0179169i | −0.0111315 | + | 0.000631487i | ||||
\(806\) | −26.1156 | + | 2.06276i | −0.919884 | + | 0.0726575i | ||||
\(807\) | −17.6947 | − | 17.6947i | −0.622883 | − | 0.622883i | ||||
\(808\) | 9.11777 | + | 5.26415i | 0.320762 | + | 0.185192i | ||||
\(809\) | −11.2881 | − | 6.51717i | −0.396868 | − | 0.229132i | 0.288264 | − | 0.957551i | \(-0.406922\pi\) |
−0.685132 | + | 0.728419i | \(0.740255\pi\) | |||||||
\(810\) | −0.455475 | + | 2.18919i | −0.0160038 | + | 0.0769202i | ||||
\(811\) | −2.31200 | + | 2.31200i | −0.0811854 | + | 0.0811854i | −0.746533 | − | 0.665348i | \(-0.768283\pi\) |
0.665348 | + | 0.746533i | \(0.268283\pi\) | |||||||
\(812\) | −0.0248909 | − | 0.0431123i | −0.000873498 | − | 0.00151294i | ||||
\(813\) | −1.31210 | − | 2.27262i | −0.0460174 | − | 0.0797044i | ||||
\(814\) | −0.852780 | + | 0.852780i | −0.0298899 | + | 0.0298899i | ||||
\(815\) | 0.835390 | − | 4.01520i | 0.0292624 | − | 0.140646i | ||||
\(816\) | −4.92547 | − | 2.84372i | −0.172426 | − | 0.0995501i | ||||
\(817\) | 13.5146 | + | 7.80268i | 0.472817 | + | 0.272981i | ||||
\(818\) | −9.86383 | − | 9.86383i | −0.344881 | − | 0.344881i | ||||
\(819\) | −1.80123 | − | 1.53752i | −0.0629400 | − | 0.0537252i | ||||
\(820\) | 17.3650 | − | 0.985111i | 0.606411 | − | 0.0344016i | ||||
\(821\) | 6.24607 | + | 23.3107i | 0.217989 | + | 0.813548i | 0.985093 | + | 0.172024i | \(0.0550307\pi\) |
−0.767103 | + | 0.641524i | \(0.778303\pi\) | |||||||
\(822\) | 15.6852 | − | 4.20283i | 0.547083 | − | 0.146591i | ||||
\(823\) | −8.18088 | + | 30.5314i | −0.285167 | + | 1.06426i | 0.663549 | + | 0.748132i | \(0.269049\pi\) |
−0.948717 | + | 0.316127i | \(0.897617\pi\) | |||||||
\(824\) | −9.71646 | − | 9.71646i | −0.338489 | − | 0.338489i | ||||
\(825\) | −5.24446 | + | 3.87982i | −0.182589 | + | 0.135078i | ||||
\(826\) | −0.832310 | + | 3.10622i | −0.0289598 | + | 0.108079i | ||||
\(827\) | 37.1285i | 1.29108i | 0.763725 | + | 0.645542i | \(0.223369\pi\) | ||||
−0.763725 | + | 0.645542i | \(0.776631\pi\) | |||||||
\(828\) | −0.208047 | − | 0.0557460i | −0.00723013 | − | 0.00193731i | ||||
\(829\) | 4.87650 | − | 8.44635i | 0.169368 | − | 0.293354i | −0.768830 | − | 0.639453i | \(-0.779161\pi\) |
0.938198 | + | 0.346100i | \(0.112494\pi\) | |||||||
\(830\) | 1.54309 | + | 4.68043i | 0.0535616 | + | 0.162460i | ||||
\(831\) | 29.3991i | 1.01984i | ||||||||
\(832\) | 0.656060 | − | 3.54536i | 0.0227448 | − | 0.122913i | ||||
\(833\) | 26.4164 | − | 26.4164i | 0.915274 | − | 0.915274i | ||||
\(834\) | 7.43141 | − | 1.99124i | 0.257329 | − | 0.0689510i | ||||
\(835\) | −14.1403 | − | 42.8895i | −0.489344 | − | 1.48425i | ||||
\(836\) | −1.85614 | + | 1.07164i | −0.0641959 | + | 0.0370635i | ||||
\(837\) | 7.26573 | 0.251140 | ||||||||
\(838\) | −6.36248 | + | 3.67338i | −0.219788 | + | 0.126895i | ||||
\(839\) | 26.3259 | + | 7.05401i | 0.908871 | + | 0.243531i | 0.682822 | − | 0.730585i | \(-0.260752\pi\) |
0.226049 | + | 0.974116i | \(0.427419\pi\) | |||||||
\(840\) | 0.0831851 | + | 1.46634i | 0.00287016 | + | 0.0505935i | ||||
\(841\) | −14.4971 | − | 25.1098i | −0.499901 | − | 0.865854i | ||||
\(842\) | −4.10325 | − | 15.3136i | −0.141407 | − | 0.527740i | ||||
\(843\) | −7.33279 | + | 12.7008i | −0.252555 | + | 0.437438i | ||||
\(844\) | −18.0440 | −0.621102 | ||||||||
\(845\) | 13.3231 | + | 25.8359i | 0.458327 | + | 0.888784i | ||||
\(846\) | 7.92499 | 0.272467 | ||||||||
\(847\) | 3.05347 | − | 5.28876i | 0.104918 | − | 0.181724i | ||||
\(848\) | 0.947801 | + | 3.53724i | 0.0325476 | + | 0.121469i | ||||
\(849\) | −5.83942 | − | 10.1142i | −0.200408 | − | 0.347118i | ||||
\(850\) | −22.2533 | − | 17.7050i | −0.763280 | − | 0.607276i | ||||
\(851\) | −0.192307 | − | 0.0515286i | −0.00659221 | − | 0.00176638i | ||||
\(852\) | 3.53618 | − | 2.04162i | 0.121148 | − | 0.0699446i | ||||
\(853\) | 17.3357 | 0.593563 | 0.296782 | − | 0.954945i | \(-0.404087\pi\) | ||||
0.296782 | + | 0.954945i | \(0.404087\pi\) | |||||||
\(854\) | −1.82881 | + | 1.05586i | −0.0625805 | + | 0.0361309i | ||||
\(855\) | −1.65349 | + | 3.28003i | −0.0565482 | + | 0.112174i | ||||
\(856\) | −12.3764 | + | 3.31625i | −0.423018 | + | 0.113347i | ||||
\(857\) | 26.5534 | − | 26.5534i | 0.907048 | − | 0.907048i | −0.0889851 | − | 0.996033i | \(-0.528362\pi\) |
0.996033 | + | 0.0889851i | \(0.0283623\pi\) | |||||||
\(858\) | 0.855974 | − | 4.62570i | 0.0292225 | − | 0.157919i | ||||
\(859\) | − | 28.0469i | − | 0.956949i | −0.878101 | − | 0.478475i | \(-0.841190\pi\) | ||
0.878101 | − | 0.478475i | \(-0.158810\pi\) | |||||||
\(860\) | 18.9682 | + | 9.56203i | 0.646809 | + | 0.326062i | ||||
\(861\) | 2.55449 | − | 4.42450i | 0.0870567 | − | 0.150787i | ||||
\(862\) | 35.5475 | + | 9.52492i | 1.21075 | + | 0.324420i | ||||
\(863\) | 55.7475i | 1.89767i | 0.315775 | + | 0.948834i | \(0.397736\pi\) | ||||
−0.315775 | + | 0.948834i | \(0.602264\pi\) | |||||||
\(864\) | −0.258819 | + | 0.965926i | −0.00880520 | + | 0.0328615i | ||||
\(865\) | 18.9978 | − | 12.4540i | 0.645944 | − | 0.423449i | ||||
\(866\) | −5.98812 | − | 5.98812i | −0.203485 | − | 0.203485i | ||||
\(867\) | 3.97208 | − | 14.8240i | 0.134899 | − | 0.503450i | ||||
\(868\) | 4.60967 | − | 1.23516i | 0.156463 | − | 0.0419240i | ||||
\(869\) | −3.73645 | − | 13.9446i | −0.126750 | − | 0.473038i | ||||
\(870\) | −0.00959890 | − | 0.169204i | −0.000325433 | − | 0.00573655i | ||||
\(871\) | −36.4290 | − | 31.0955i | −1.23435 | − | 1.05363i | ||||
\(872\) | −13.0240 | − | 13.0240i | −0.441050 | − | 0.441050i | ||||
\(873\) | 11.8381 | + | 6.83472i | 0.400659 | + | 0.231320i | ||||
\(874\) | −0.306416 | − | 0.176909i | −0.0103647 | − | 0.00598404i | ||||
\(875\) | −0.673129 | + | 7.31257i | −0.0227559 | + | 0.247210i | ||||
\(876\) | −2.43824 | + | 2.43824i | −0.0823805 | + | 0.0823805i | ||||
\(877\) | −8.32925 | − | 14.4267i | −0.281259 | − | 0.487155i | 0.690436 | − | 0.723393i | \(-0.257419\pi\) |
−0.971695 | + | 0.236239i | \(0.924085\pi\) | |||||||
\(878\) | 8.93023 | + | 15.4676i | 0.301381 | + | 0.522006i | ||||
\(879\) | −8.08976 | + | 8.08976i | −0.272861 | + | 0.272861i | ||||
\(880\) | −2.43990 | + | 1.59948i | −0.0822491 | + | 0.0539185i | ||||
\(881\) | 15.4667 | + | 8.92971i | 0.521087 | + | 0.300850i | 0.737379 | − | 0.675479i | \(-0.236063\pi\) |
−0.216292 | + | 0.976329i | \(0.569396\pi\) | |||||||
\(882\) | −5.68856 | − | 3.28429i | −0.191544 | − | 0.110588i | ||||
\(883\) | 18.4830 | + | 18.4830i | 0.622003 | + | 0.622003i | 0.946043 | − | 0.324040i | \(-0.105041\pi\) |
−0.324040 | + | 0.946043i | \(0.605041\pi\) | |||||||
\(884\) | 20.4427 | − | 1.61467i | 0.687562 | − | 0.0543074i | ||||
\(885\) | −7.29038 | + | 8.16729i | −0.245063 | + | 0.274540i | ||||
\(886\) | 0.990104 | + | 3.69512i | 0.0332632 | + | 0.124140i | ||||
\(887\) | 24.6672 | − | 6.60955i | 0.828243 | − | 0.221927i | 0.180296 | − | 0.983612i | \(-0.442294\pi\) |
0.647947 | + | 0.761685i | \(0.275628\pi\) | |||||||
\(888\) | −0.239238 | + | 0.892850i | −0.00802832 | + | 0.0299621i | ||||
\(889\) | 0.582866 | + | 0.582866i | 0.0195487 | + | 0.0195487i | ||||
\(890\) | 7.57265 | + | 11.5516i | 0.253836 | + | 0.387210i | ||||
\(891\) | −0.337686 | + | 1.26026i | −0.0113129 | + | 0.0422204i | ||||
\(892\) | 27.5937i | 0.923905i | ||||||||
\(893\) | 12.5749 | + | 3.36944i | 0.420804 | + | 0.112754i | ||||
\(894\) | 7.29678 | − | 12.6384i | 0.244041 | − | 0.422691i | ||||
\(895\) | 2.53760 | − | 0.836621i | 0.0848225 | − | 0.0279652i | ||||
\(896\) | 0.656821i | 0.0219429i | ||||||||
\(897\) | 0.731968 | − | 0.259436i | 0.0244397 | − | 0.00866231i | ||||
\(898\) | 8.44165 | − | 8.44165i | 0.281701 | − | 0.281701i | ||||
\(899\) | −0.531920 | + | 0.142527i | −0.0177405 | + | 0.00475356i | ||||
\(900\) | −1.99424 | + | 4.58508i | −0.0664747 | + | 0.152836i | ||||
\(901\) | −18.0372 | + | 10.4138i | −0.600905 | + | 0.346933i | ||||
\(902\) | 10.1485 | 0.337910 | ||||||||
\(903\) | 5.40367 | − | 3.11981i | 0.179823 | − | 0.103821i | ||||
\(904\) | 2.25077 | + | 0.603092i | 0.0748595 | + | 0.0200585i | ||||
\(905\) | 31.3141 | − | 35.0806i | 1.04092 | − | 1.16612i | ||||
\(906\) | 6.14689 | + | 10.6467i | 0.204217 | + | 0.353714i | ||||
\(907\) | −12.6212 | − | 47.1031i | −0.419081 | − | 1.56403i | −0.776518 | − | 0.630095i | \(-0.783016\pi\) |
0.357437 | − | 0.933937i | \(-0.383651\pi\) | |||||||
\(908\) | 6.22930 | − | 10.7895i | 0.206727 | − | 0.358061i | ||||
\(909\) | 10.5283 | 0.349201 | ||||||||
\(910\) | −3.24293 | − | 4.18633i | −0.107502 | − | 0.138775i | ||||
\(911\) | 2.26572 | 0.0750665 | 0.0375333 | − | 0.999295i | \(-0.488050\pi\) | ||||
0.0375333 | + | 0.999295i | \(0.488050\pi\) | |||||||
\(912\) | −0.821359 | + | 1.42263i | −0.0271979 | + | 0.0471081i | ||||
\(913\) | 0.744253 | + | 2.77759i | 0.0246312 | + | 0.0919248i | ||||
\(914\) | 20.3307 | + | 35.2137i | 0.672478 | + | 1.16477i | ||||
\(915\) | −7.17757 | + | 0.407182i | −0.237283 | + | 0.0134610i | ||||
\(916\) | −16.9495 | − | 4.54161i | −0.560027 | − | 0.150059i | ||||
\(917\) | −8.38344 | + | 4.84018i | −0.276846 | + | 0.159837i | ||||
\(918\) | −5.68744 | −0.187713 | ||||||||
\(919\) | −26.0297 | + | 15.0283i | −0.858642 | + | 0.495737i | −0.863557 | − | 0.504251i | \(-0.831769\pi\) |
0.00491537 | + | 0.999988i | \(0.498435\pi\) | |||||||
\(920\) | −0.430063 | − | 0.216799i | −0.0141787 | − | 0.00714764i | ||||
\(921\) | −25.9862 | + | 6.96297i | −0.856273 | + | 0.229438i | ||||
\(922\) | 22.0055 | − | 22.0055i | 0.724714 | − | 0.724714i | ||||
\(923\) | −6.33437 | + | 13.2899i | −0.208498 | + | 0.437443i | ||||
\(924\) | 0.856967i | 0.0281922i | ||||||||
\(925\) | −1.84337 | + | 4.23821i | −0.0606097 | + | 0.139351i | ||||
\(926\) | −6.68190 | + | 11.5734i | −0.219581 | + | 0.380325i | ||||
\(927\) | −13.2729 | − | 3.55647i | −0.435940 | − | 0.116810i | ||||
\(928\) | − | 0.0757919i | − | 0.00248799i | ||||||
\(929\) | −8.62799 | + | 32.2001i | −0.283075 | + | 1.05645i | 0.667159 | + | 0.744915i | \(0.267510\pi\) |
−0.950234 | + | 0.311536i | \(0.899157\pi\) | |||||||
\(930\) | 15.9060 | + | 3.30936i | 0.521580 | + | 0.108518i | ||||
\(931\) | −7.62992 | − | 7.62992i | −0.250060 | − | 0.250060i | ||||
\(932\) | −7.71667 | + | 28.7990i | −0.252768 | + | 0.943343i | ||||
\(933\) | 7.13479 | − | 1.91176i | 0.233582 | − | 0.0625882i | ||||
\(934\) | −5.77911 | − | 21.5679i | −0.189098 | − | 0.705724i | ||||
\(935\) | −12.3786 | − | 11.0495i | −0.404822 | − | 0.361357i | ||||
\(936\) | −1.20452 | − | 3.39840i | −0.0393708 | − | 0.111080i | ||||
\(937\) | −13.8622 | − | 13.8622i | −0.452860 | − | 0.452860i | 0.443443 | − | 0.896303i | \(-0.353757\pi\) |
−0.896303 | + | 0.443443i | \(0.853757\pi\) | |||||||
\(938\) | 7.55620 | + | 4.36257i | 0.246719 | + | 0.142443i | ||||
\(939\) | −17.0254 | − | 9.82963i | −0.555603 | − | 0.320778i | ||||
\(940\) | 17.3493 | + | 3.60964i | 0.565872 | + | 0.117733i | ||||
\(941\) | −3.41512 | + | 3.41512i | −0.111330 | + | 0.111330i | −0.760577 | − | 0.649248i | \(-0.775084\pi\) |
0.649248 | + | 0.760577i | \(0.275084\pi\) | |||||||
\(942\) | 2.34167 | + | 4.05589i | 0.0762958 | + | 0.132148i | ||||
\(943\) | 0.837672 | + | 1.45089i | 0.0272784 | + | 0.0472475i | ||||
\(944\) | −3.46200 | + | 3.46200i | −0.112678 | + | 0.112678i | ||||
\(945\) | 0.805210 | + | 1.22829i | 0.0261935 | + | 0.0399564i | ||||
\(946\) | 10.7339 | + | 6.19724i | 0.348990 | + | 0.201490i | ||||
\(947\) | −42.5076 | − | 24.5418i | −1.38131 | − | 0.797501i | −0.388998 | − | 0.921239i | \(-0.627179\pi\) |
−0.992315 | + | 0.123738i | \(0.960512\pi\) | |||||||
\(948\) | −7.82403 | − | 7.82403i | −0.254113 | − | 0.254113i | ||||
\(949\) | 2.26222 | − | 12.2251i | 0.0734348 | − | 0.396843i | ||||
\(950\) | −5.11377 | + | 6.42747i | −0.165913 | + | 0.208535i | ||||
\(951\) | −6.27153 | − | 23.4057i | −0.203368 | − | 0.758981i | ||||
\(952\) | −3.60834 | + | 0.966852i | −0.116947 | + | 0.0313359i | ||||
\(953\) | 9.99546 | − | 37.3036i | 0.323785 | − | 1.20838i | −0.591743 | − | 0.806126i | \(-0.701560\pi\) |
0.915528 | − | 0.402254i | \(-0.131773\pi\) | |||||||
\(954\) | 2.58944 | + | 2.58944i | 0.0838362 | + | 0.0838362i | ||||
\(955\) | 3.70007 | − | 17.7839i | 0.119731 | − | 0.575475i | ||||
\(956\) | −0.192612 | + | 0.718839i | −0.00622952 | + | 0.0232489i | ||||
\(957\) | − | 0.0988872i | − | 0.00319657i | ||||||
\(958\) | −31.1575 | − | 8.34864i | −1.00665 | − | 0.269732i | ||||
\(959\) | 5.33289 | − | 9.23684i | 0.172208 | − | 0.298273i | ||||
\(960\) | −1.00656 | + | 1.99671i | −0.0324865 | + | 0.0644434i | ||||
\(961\) | − | 21.7908i | − | 0.702931i | ||||||
\(962\) | −1.11339 | − | 3.14130i | −0.0358971 | − | 0.101280i | ||||
\(963\) | −9.06017 | + | 9.06017i | −0.291960 | + | 0.291960i | ||||
\(964\) | −16.4956 | + | 4.41998i | −0.531288 | + | 0.142358i | ||||
\(965\) | −9.52958 | + | 3.14181i | −0.306768 | + | 0.101139i | ||||
\(966\) | −0.122517 | + | 0.0707350i | −0.00394191 | + | 0.00227586i | ||||
\(967\) | 26.5516 | 0.853843 | 0.426922 | − | 0.904289i | \(-0.359598\pi\) | ||||
0.426922 | + | 0.904289i | \(0.359598\pi\) | |||||||
\(968\) | 8.05205 | − | 4.64885i | 0.258803 | − | 0.149420i | ||||
\(969\) | −9.02450 | − | 2.41811i | −0.289909 | − | 0.0776808i | ||||
\(970\) | 22.8027 | + | 20.3545i | 0.732152 | + | 0.653542i | ||||
\(971\) | −0.859329 | − | 1.48840i | −0.0275772 | − | 0.0477651i | 0.851907 | − | 0.523692i | \(-0.175446\pi\) |
−0.879485 | + | 0.475927i | \(0.842113\pi\) | |||||||
\(972\) | 0.258819 | + | 0.965926i | 0.00830162 | + | 0.0309821i | ||||
\(973\) | 2.52665 | − | 4.37628i | 0.0810006 | − | 0.140297i | ||||
\(974\) | −13.2109 | −0.423304 | ||||||||
\(975\) | −3.44293 | − | 17.6959i | −0.110262 | − | 0.566724i | ||||
\(976\) | −3.21507 | −0.102912 | ||||||||
\(977\) | −7.11901 | + | 12.3305i | −0.227757 | + | 0.394487i | −0.957143 | − | 0.289615i | \(-0.906473\pi\) |
0.729386 | + | 0.684103i | \(0.239806\pi\) | |||||||
\(978\) | −0.474701 | − | 1.77161i | −0.0151793 | − | 0.0566498i | ||||
\(979\) | 4.02970 | + | 6.97965i | 0.128790 | + | 0.223071i | ||||
\(980\) | −10.9574 | − | 9.78093i | −0.350022 | − | 0.312440i | ||||
\(981\) | −17.7912 | − | 4.76713i | −0.568028 | − | 0.152203i | ||||
\(982\) | −21.0123 | + | 12.1315i | −0.670531 | + | 0.387131i | ||||
\(983\) | −11.3280 | −0.361307 | −0.180653 | − | 0.983547i | \(-0.557821\pi\) | ||||
−0.180653 | + | 0.983547i | \(0.557821\pi\) | |||||||
\(984\) | 6.73624 | − | 3.88917i | 0.214743 | − | 0.123982i | ||||
\(985\) | 24.4589 | − | 8.06386i | 0.779324 | − | 0.256936i | ||||
\(986\) | 0.416374 | − | 0.111567i | 0.0132600 | − | 0.00355302i | ||||
\(987\) | 3.68071 | − | 3.68071i | 0.117158 | − | 0.117158i | ||||
\(988\) | −0.466371 | − | 5.90451i | −0.0148372 | − | 0.187848i | ||||
\(989\) | 2.04611i | 0.0650624i | ||||||||
\(990\) | −1.31328 | + | 2.60514i | −0.0417387 | + | 0.0827969i | ||||
\(991\) | −11.0414 | + | 19.1243i | −0.350743 | + | 0.607505i | −0.986380 | − | 0.164484i | \(-0.947404\pi\) |
0.635637 | + | 0.771988i | \(0.280738\pi\) | |||||||
\(992\) | 7.01816 | + | 1.88051i | 0.222827 | + | 0.0597062i | ||||
\(993\) | − | 7.81244i | − | 0.247920i | ||||||
\(994\) | 0.694141 | − | 2.59057i | 0.0220168 | − | 0.0821678i | ||||
\(995\) | −1.59857 | + | 7.68333i | −0.0506781 | + | 0.243578i | ||||
\(996\) | 1.55845 | + | 1.55845i | 0.0493813 | + | 0.0493813i | ||||
\(997\) | −1.98144 | + | 7.39482i | −0.0627527 | + | 0.234196i | −0.990178 | − | 0.139812i | \(-0.955350\pi\) |
0.927425 | + | 0.374008i | \(0.122017\pi\) | |||||||
\(998\) | −32.3291 | + | 8.66256i | −1.02336 | + | 0.274208i | ||||
\(999\) | 0.239238 | + | 0.892850i | 0.00756917 | + | 0.0282485i |
(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 | 390.2.bn.b.97.1 | yes | 16 | |
5.3 | odd | 4 | 390.2.bd.b.253.3 | yes | 16 | ||
13.11 | odd | 12 | 390.2.bd.b.37.3 | ✓ | 16 | ||
65.63 | even | 12 | inner | 390.2.bn.b.193.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.37.3 | ✓ | 16 | 13.11 | odd | 12 | ||
390.2.bd.b.253.3 | yes | 16 | 5.3 | odd | 4 | ||
390.2.bn.b.97.1 | yes | 16 | 1.1 | even | 1 | trivial | |
390.2.bn.b.193.1 | yes | 16 | 65.63 | even | 12 | inner |