Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(20,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.u (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 104.10 | ||
Character | \(\chi\) | \(=\) | 231.104 |
Dual form | 231.2.u.a.20.10 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17237 | + | 0.380926i | −0.828991 | + | 0.269356i | −0.692620 | − | 0.721302i | \(-0.743544\pi\) |
−0.136371 | + | 0.990658i | \(0.543544\pi\) | |||||||
\(3\) | 1.03573 | + | 1.38826i | 0.597980 | + | 0.801511i | ||||
\(4\) | −0.388687 | + | 0.282397i | −0.194343 | + | 0.141199i | ||||
\(5\) | 0.966595 | − | 2.97487i | 0.432274 | − | 1.33040i | −0.463580 | − | 0.886055i | \(-0.653435\pi\) |
0.895854 | − | 0.444348i | \(-0.146565\pi\) | |||||||
\(6\) | −1.74309 | − | 1.23301i | −0.711612 | − | 0.503376i | ||||
\(7\) | 2.62308 | + | 0.345622i | 0.991431 | + | 0.130633i | ||||
\(8\) | 1.79724 | − | 2.47369i | 0.635421 | − | 0.874582i | ||||
\(9\) | −0.854517 | + | 2.87573i | −0.284839 | + | 0.958575i | ||||
\(10\) | 3.85585i | 1.21933i | ||||||||
\(11\) | 2.35123 | − | 2.33917i | 0.708921 | − | 0.705288i | ||||
\(12\) | −0.794615 | − | 0.247109i | −0.229386 | − | 0.0713342i | ||||
\(13\) | 1.83070 | − | 0.594831i | 0.507745 | − | 0.164976i | −0.0439312 | − | 0.999035i | \(-0.513988\pi\) |
0.551677 | + | 0.834058i | \(0.313988\pi\) | |||||||
\(14\) | −3.20688 | + | 0.594002i | −0.857074 | + | 0.158754i | ||||
\(15\) | 5.13102 | − | 1.73929i | 1.32482 | − | 0.449083i | ||||
\(16\) | −0.867809 | + | 2.67084i | −0.216952 | + | 0.667710i | ||||
\(17\) | −1.78185 | + | 5.48398i | −0.432163 | + | 1.33006i | 0.463803 | + | 0.885938i | \(0.346484\pi\) |
−0.895966 | + | 0.444122i | \(0.853516\pi\) | |||||||
\(18\) | −0.0936286 | − | 3.69692i | −0.0220685 | − | 0.871373i | ||||
\(19\) | −3.31616 | + | 4.56430i | −0.760779 | + | 1.04712i | 0.236370 | + | 0.971663i | \(0.424042\pi\) |
−0.997149 | + | 0.0754593i | \(0.975958\pi\) | |||||||
\(20\) | 0.464394 | + | 1.42926i | 0.103842 | + | 0.319592i | ||||
\(21\) | 2.23700 | + | 3.99948i | 0.488152 | + | 0.872758i | ||||
\(22\) | −1.86545 | + | 3.63802i | −0.397716 | + | 0.775629i | ||||
\(23\) | − | 5.79074i | − | 1.20745i | −0.797192 | − | 0.603726i | \(-0.793682\pi\) | ||
0.797192 | − | 0.603726i | \(-0.206318\pi\) | |||||||
\(24\) | 5.29558 | − | 0.0670474i | 1.08096 | − | 0.0136860i | ||||
\(25\) | −3.87048 | − | 2.81207i | −0.774096 | − | 0.562414i | ||||
\(26\) | −1.91967 | + | 1.39472i | −0.376479 | + | 0.273528i | ||||
\(27\) | −4.87730 | + | 1.79219i | −0.938637 | + | 0.344908i | ||||
\(28\) | −1.11716 | + | 0.606412i | −0.211123 | + | 0.114601i | ||||
\(29\) | 2.41572 | + | 3.32496i | 0.448589 | + | 0.617429i | 0.972094 | − | 0.234593i | \(-0.0753758\pi\) |
−0.523505 | + | 0.852023i | \(0.675376\pi\) | |||||||
\(30\) | −5.35292 | + | 3.99363i | −0.977305 | + | 0.729134i | ||||
\(31\) | 3.87003 | − | 1.25745i | 0.695077 | − | 0.225844i | 0.0598928 | − | 0.998205i | \(-0.480924\pi\) |
0.635184 | + | 0.772361i | \(0.280924\pi\) | |||||||
\(32\) | 2.65351i | 0.469079i | ||||||||
\(33\) | 5.68262 | + | 0.841349i | 0.989217 | + | 0.146460i | ||||
\(34\) | − | 7.10801i | − | 1.21901i | ||||||
\(35\) | 3.56364 | − | 7.46925i | 0.602365 | − | 1.26253i | ||||
\(36\) | −0.479958 | − | 1.35907i | −0.0799930 | − | 0.226512i | ||||
\(37\) | 7.22445 | − | 5.24887i | 1.18769 | − | 0.862909i | 0.194674 | − | 0.980868i | \(-0.437635\pi\) |
0.993018 | + | 0.117959i | \(0.0376351\pi\) | |||||||
\(38\) | 2.14910 | − | 6.61426i | 0.348631 | − | 1.07298i | ||||
\(39\) | 2.72190 | + | 1.92540i | 0.435852 | + | 0.308311i | ||||
\(40\) | −5.62171 | − | 7.73762i | −0.888871 | − | 1.22343i | ||||
\(41\) | −2.54229 | − | 1.84708i | −0.397038 | − | 0.288465i | 0.371295 | − | 0.928515i | \(-0.378914\pi\) |
−0.768334 | + | 0.640050i | \(0.778914\pi\) | |||||||
\(42\) | −4.14609 | − | 3.83674i | −0.639756 | − | 0.592022i | ||||
\(43\) | −6.95014 | −1.05989 | −0.529943 | − | 0.848033i | \(-0.677787\pi\) | ||||
−0.529943 | + | 0.848033i | \(0.677787\pi\) | |||||||
\(44\) | −0.253313 | + | 1.57319i | −0.0381884 | + | 0.237167i | ||||
\(45\) | 7.72895 | + | 5.32174i | 1.15216 | + | 0.793319i | ||||
\(46\) | 2.20584 | + | 6.78889i | 0.325234 | + | 1.00097i | ||||
\(47\) | −4.70535 | − | 3.41864i | −0.686346 | − | 0.498659i | 0.189111 | − | 0.981956i | \(-0.439439\pi\) |
−0.875457 | + | 0.483296i | \(0.839439\pi\) | |||||||
\(48\) | −4.60663 | + | 1.56153i | −0.664910 | + | 0.225388i | ||||
\(49\) | 6.76109 | + | 1.81319i | 0.965870 | + | 0.259027i | ||||
\(50\) | 5.60883 | + | 1.82242i | 0.793208 | + | 0.257729i | ||||
\(51\) | −9.45870 | + | 3.20626i | −1.32448 | + | 0.448967i | ||||
\(52\) | −0.543591 | + | 0.748188i | −0.0753824 | + | 0.103755i | ||||
\(53\) | −5.95831 | + | 1.93597i | −0.818436 | + | 0.265926i | −0.688167 | − | 0.725553i | \(-0.741584\pi\) |
−0.130270 | + | 0.991479i | \(0.541584\pi\) | |||||||
\(54\) | 5.03531 | − | 3.95900i | 0.685219 | − | 0.538752i | ||||
\(55\) | −4.68606 | − | 9.25563i | −0.631869 | − | 1.24803i | ||||
\(56\) | 5.56927 | − | 5.86752i | 0.744225 | − | 0.784080i | ||||
\(57\) | −9.77108 | + | 0.123712i | −1.29421 | + | 0.0163860i | ||||
\(58\) | −4.09869 | − | 2.97787i | −0.538184 | − | 0.391014i | ||||
\(59\) | −1.83841 | + | 1.33568i | −0.239341 | + | 0.173891i | −0.700989 | − | 0.713172i | \(-0.747258\pi\) |
0.461649 | + | 0.887063i | \(0.347258\pi\) | |||||||
\(60\) | −1.50319 | + | 2.12503i | −0.194061 | + | 0.274340i | ||||
\(61\) | −5.18467 | − | 1.68460i | −0.663829 | − | 0.215691i | −0.0423269 | − | 0.999104i | \(-0.513477\pi\) |
−0.621502 | + | 0.783413i | \(0.713477\pi\) | |||||||
\(62\) | −4.05811 | + | 2.94839i | −0.515380 | + | 0.374446i | ||||
\(63\) | −3.23538 | + | 7.24792i | −0.407620 | + | 0.913152i | ||||
\(64\) | −2.74641 | − | 8.45258i | −0.343301 | − | 1.05657i | ||||
\(65\) | − | 6.02107i | − | 0.746821i | ||||||
\(66\) | −6.98262 | + | 1.17829i | −0.859501 | + | 0.145037i | ||||
\(67\) | 3.70934 | 0.453168 | 0.226584 | − | 0.973992i | \(-0.427244\pi\) | ||||
0.226584 | + | 0.973992i | \(0.427244\pi\) | |||||||
\(68\) | −0.856079 | − | 2.63474i | −0.103815 | − | 0.319509i | ||||
\(69\) | 8.03904 | − | 5.99766i | 0.967786 | − | 0.722033i | ||||
\(70\) | −1.33267 | + | 10.1142i | −0.159284 | + | 1.20888i | ||||
\(71\) | −12.6990 | − | 4.12615i | −1.50709 | − | 0.489684i | −0.565015 | − | 0.825080i | \(-0.691130\pi\) |
−0.942077 | + | 0.335396i | \(0.891130\pi\) | |||||||
\(72\) | 5.57788 | + | 7.28219i | 0.657360 | + | 0.858214i | ||||
\(73\) | 4.72522 | + | 6.50371i | 0.553045 | + | 0.761201i | 0.990421 | − | 0.138077i | \(-0.0440922\pi\) |
−0.437376 | + | 0.899279i | \(0.644092\pi\) | |||||||
\(74\) | −6.47030 | + | 8.90560i | −0.752157 | + | 1.03526i | ||||
\(75\) | −0.104906 | − | 8.28577i | −0.0121135 | − | 0.956759i | ||||
\(76\) | − | 2.71056i | − | 0.310922i | ||||||
\(77\) | 6.97592 | − | 5.32320i | 0.794980 | − | 0.606635i | ||||
\(78\) | −3.92451 | − | 1.22044i | −0.444363 | − | 0.138188i | ||||
\(79\) | −2.21664 | − | 6.82211i | −0.249391 | − | 0.767548i | −0.994883 | − | 0.101033i | \(-0.967785\pi\) |
0.745492 | − | 0.666515i | \(-0.232215\pi\) | |||||||
\(80\) | 7.10659 | + | 5.16324i | 0.794541 | + | 0.577268i | ||||
\(81\) | −7.53960 | − | 4.91472i | −0.837733 | − | 0.546080i | ||||
\(82\) | 3.68410 | + | 1.19704i | 0.406841 | + | 0.132191i | ||||
\(83\) | −1.93982 | + | 5.97015i | −0.212923 | + | 0.655309i | 0.786372 | + | 0.617753i | \(0.211957\pi\) |
−0.999295 | + | 0.0375553i | \(0.988043\pi\) | |||||||
\(84\) | −1.99893 | − | 0.922823i | −0.218101 | − | 0.100688i | ||||
\(85\) | 14.5918 | + | 10.6016i | 1.58270 | + | 1.14990i | ||||
\(86\) | 8.14814 | − | 2.64749i | 0.878637 | − | 0.285486i | ||||
\(87\) | −2.11386 | + | 6.79741i | −0.226629 | + | 0.728759i | ||||
\(88\) | −1.56067 | − | 10.0203i | −0.166368 | − | 1.06816i | ||||
\(89\) | −2.91353 | −0.308833 | −0.154417 | − | 0.988006i | \(-0.549350\pi\) | ||||
−0.154417 | + | 0.988006i | \(0.549350\pi\) | |||||||
\(90\) | −11.0884 | − | 3.29489i | −1.16882 | − | 0.347312i | ||||
\(91\) | 5.00766 | − | 0.927558i | 0.524946 | − | 0.0972345i | ||||
\(92\) | 1.63529 | + | 2.25078i | 0.170491 | + | 0.234660i | ||||
\(93\) | 5.75397 | + | 4.07021i | 0.596659 | + | 0.422061i | ||||
\(94\) | 6.81866 | + | 2.21552i | 0.703291 | + | 0.228513i | ||||
\(95\) | 10.3728 | + | 14.2770i | 1.06423 | + | 1.46479i | ||||
\(96\) | −3.68376 | + | 2.74833i | −0.375972 | + | 0.280500i | ||||
\(97\) | −10.0014 | + | 3.24966i | −1.01549 | + | 0.329953i | −0.769039 | − | 0.639202i | \(-0.779265\pi\) |
−0.246453 | + | 0.969155i | \(0.579265\pi\) | |||||||
\(98\) | −8.61719 | + | 0.449747i | −0.870468 | + | 0.0454313i | ||||
\(99\) | 4.71766 | + | 8.76035i | 0.474143 | + | 0.880448i | ||||
\(100\) | 2.29852 | 0.229852 | ||||||||
\(101\) | −0.316750 | − | 0.974858i | −0.0315179 | − | 0.0970020i | 0.934060 | − | 0.357116i | \(-0.116240\pi\) |
−0.965578 | + | 0.260114i | \(0.916240\pi\) | |||||||
\(102\) | 9.86775 | − | 7.36199i | 0.977053 | − | 0.728946i | ||||
\(103\) | −0.633933 | − | 0.872534i | −0.0624633 | − | 0.0859734i | 0.776643 | − | 0.629942i | \(-0.216921\pi\) |
−0.839106 | + | 0.543968i | \(0.816921\pi\) | |||||||
\(104\) | 1.81879 | − | 5.59765i | 0.178347 | − | 0.548894i | ||||
\(105\) | 14.0602 | − | 2.78890i | 1.37214 | − | 0.272169i | ||||
\(106\) | 6.24788 | − | 4.53935i | 0.606848 | − | 0.440901i | ||||
\(107\) | 1.19592 | − | 1.64605i | 0.115614 | − | 0.159129i | −0.747288 | − | 0.664500i | \(-0.768644\pi\) |
0.862902 | + | 0.505371i | \(0.168644\pi\) | |||||||
\(108\) | 1.38963 | − | 2.07394i | 0.133717 | − | 0.199565i | ||||
\(109\) | 9.24914 | 0.885907 | 0.442954 | − | 0.896545i | \(-0.353931\pi\) | ||||
0.442954 | + | 0.896545i | \(0.353931\pi\) | |||||||
\(110\) | 9.01952 | + | 9.06599i | 0.859977 | + | 0.864408i | ||||
\(111\) | 14.7694 | + | 4.59297i | 1.40185 | + | 0.435946i | ||||
\(112\) | −3.19943 | + | 6.70589i | −0.302318 | + | 0.633647i | ||||
\(113\) | −2.13147 | + | 2.93372i | −0.200512 | + | 0.275981i | −0.897418 | − | 0.441182i | \(-0.854559\pi\) |
0.696906 | + | 0.717162i | \(0.254559\pi\) | |||||||
\(114\) | 11.4082 | − | 3.86710i | 1.06848 | − | 0.362187i | ||||
\(115\) | −17.2267 | − | 5.59730i | −1.60640 | − | 0.521951i | ||||
\(116\) | −1.87792 | − | 0.610173i | −0.174360 | − | 0.0566531i | ||||
\(117\) | 0.146205 | + | 5.77289i | 0.0135166 | + | 0.533704i | ||||
\(118\) | 1.64650 | − | 2.26621i | 0.151573 | − | 0.208622i | ||||
\(119\) | −6.56933 | + | 13.7691i | −0.602209 | + | 1.26221i | ||||
\(120\) | 4.91922 | − | 15.8185i | 0.449062 | − | 1.44402i | ||||
\(121\) | 0.0565275 | − | 10.9999i | 0.00513886 | − | 0.999987i | ||||
\(122\) | 6.72006 | 0.608406 | ||||||||
\(123\) | −0.0689066 | − | 5.44243i | −0.00621310 | − | 0.490727i | ||||
\(124\) | −1.14913 | + | 1.58164i | −0.103195 | + | 0.142035i | ||||
\(125\) | 0.546159 | − | 0.396808i | 0.0488500 | − | 0.0354916i | ||||
\(126\) | 1.03214 | − | 9.72969i | 0.0919507 | − | 0.866789i | ||||
\(127\) | −4.96592 | + | 15.2835i | −0.440654 | + | 1.35619i | 0.446526 | + | 0.894771i | \(0.352661\pi\) |
−0.887180 | + | 0.461424i | \(0.847339\pi\) | |||||||
\(128\) | 3.32023 | + | 4.56990i | 0.293470 | + | 0.403926i | ||||
\(129\) | −7.19849 | − | 9.64859i | −0.633791 | − | 0.849511i | ||||
\(130\) | 2.29358 | + | 7.05892i | 0.201160 | + | 0.619108i | ||||
\(131\) | 4.69154 | 0.409902 | 0.204951 | − | 0.978772i | \(-0.434296\pi\) | ||||
0.204951 | + | 0.978772i | \(0.434296\pi\) | |||||||
\(132\) | −2.44635 | + | 1.27773i | −0.212928 | + | 0.111213i | ||||
\(133\) | −10.2761 | + | 10.8264i | −0.891048 | + | 0.938767i | ||||
\(134\) | −4.34872 | + | 1.41298i | −0.375672 | + | 0.122063i | ||||
\(135\) | 0.617172 | + | 16.2417i | 0.0531177 | + | 1.39786i | ||||
\(136\) | 10.3632 | + | 14.2638i | 0.888641 | + | 1.22311i | ||||
\(137\) | −3.12324 | − | 1.01480i | −0.266836 | − | 0.0867004i | 0.172543 | − | 0.985002i | \(-0.444802\pi\) |
−0.439379 | + | 0.898302i | \(0.644802\pi\) | |||||||
\(138\) | −7.14007 | + | 10.0938i | −0.607803 | + | 0.859237i | ||||
\(139\) | −1.74369 | − | 2.39999i | −0.147898 | − | 0.203564i | 0.728640 | − | 0.684897i | \(-0.240153\pi\) |
−0.876538 | + | 0.481333i | \(0.840153\pi\) | |||||||
\(140\) | 0.724158 | + | 3.90956i | 0.0612026 | + | 0.330418i | ||||
\(141\) | −0.127535 | − | 10.0730i | −0.0107404 | − | 0.848302i | ||||
\(142\) | 16.4597 | 1.38127 | ||||||||
\(143\) | 2.91298 | − | 5.68091i | 0.243596 | − | 0.475062i | ||||
\(144\) | −6.93905 | − | 4.77786i | −0.578254 | − | 0.398155i | ||||
\(145\) | 12.2264 | − | 3.97258i | 1.01534 | − | 0.329905i | ||||
\(146\) | −8.01714 | − | 5.82479i | −0.663503 | − | 0.482063i | ||||
\(147\) | 4.48551 | + | 11.2641i | 0.369958 | + | 0.929048i | ||||
\(148\) | −1.32578 | + | 4.08033i | −0.108978 | + | 0.335401i | ||||
\(149\) | 3.73287 | + | 1.21288i | 0.305809 | + | 0.0993633i | 0.457901 | − | 0.889003i | \(-0.348601\pi\) |
−0.152093 | + | 0.988366i | \(0.548601\pi\) | |||||||
\(150\) | 3.27926 | + | 9.67403i | 0.267750 | + | 0.789881i | ||||
\(151\) | −12.1170 | − | 8.80351i | −0.986067 | − | 0.716419i | −0.0270105 | − | 0.999635i | \(-0.508599\pi\) |
−0.959056 | + | 0.283216i | \(0.908599\pi\) | |||||||
\(152\) | 5.33073 | + | 16.4063i | 0.432379 | + | 1.33073i | ||||
\(153\) | −14.2478 | − | 9.81028i | −1.15187 | − | 0.793114i | ||||
\(154\) | −6.15062 | + | 8.89808i | −0.495631 | + | 0.717028i | ||||
\(155\) | − | 12.7283i | − | 1.02236i | ||||||
\(156\) | −1.60169 | + | 0.0202790i | −0.128238 | + | 0.00162362i | ||||
\(157\) | −7.06712 | + | 9.72705i | −0.564017 | + | 0.776303i | −0.991830 | − | 0.127564i | \(-0.959284\pi\) |
0.427813 | + | 0.903867i | \(0.359284\pi\) | |||||||
\(158\) | 5.19744 | + | 7.15367i | 0.413486 | + | 0.569115i | ||||
\(159\) | −8.85884 | − | 6.26652i | −0.702551 | − | 0.496967i | ||||
\(160\) | 7.89387 | + | 2.56487i | 0.624065 | + | 0.202771i | ||||
\(161\) | 2.00141 | − | 15.1896i | 0.157733 | − | 1.19711i | ||||
\(162\) | 10.7113 | + | 2.88984i | 0.841563 | + | 0.227047i | ||||
\(163\) | 3.84778 | + | 11.8422i | 0.301381 | + | 0.927556i | 0.981003 | + | 0.193993i | \(0.0621440\pi\) |
−0.679622 | + | 0.733563i | \(0.737856\pi\) | |||||||
\(164\) | 1.50976 | 0.117893 | ||||||||
\(165\) | 7.99569 | − | 16.0918i | 0.622464 | − | 1.25275i | ||||
\(166\) | − | 7.73815i | − | 0.600597i | ||||||
\(167\) | 0.988524 | + | 3.04236i | 0.0764943 | + | 0.235425i | 0.981991 | − | 0.188928i | \(-0.0605014\pi\) |
−0.905497 | + | 0.424354i | \(0.860501\pi\) | |||||||
\(168\) | 13.9139 | + | 1.65440i | 1.07348 | + | 0.127640i | ||||
\(169\) | −7.51957 | + | 5.46329i | −0.578429 | + | 0.420253i | ||||
\(170\) | −21.1454 | − | 6.87057i | −1.62178 | − | 0.526948i | ||||
\(171\) | −10.2920 | − | 13.4366i | −0.787046 | − | 1.02753i | ||||
\(172\) | 2.70143 | − | 1.96270i | 0.205982 | − | 0.149655i | ||||
\(173\) | −10.9084 | − | 7.92540i | −0.829349 | − | 0.602557i | 0.0900261 | − | 0.995939i | \(-0.471305\pi\) |
−0.919375 | + | 0.393382i | \(0.871305\pi\) | |||||||
\(174\) | −0.111092 | − | 8.77431i | −0.00842183 | − | 0.665179i | ||||
\(175\) | −9.18066 | − | 8.71400i | −0.693993 | − | 0.658717i | ||||
\(176\) | 4.20715 | + | 8.30971i | 0.317126 | + | 0.626368i | ||||
\(177\) | −3.75837 | − | 1.16878i | −0.282497 | − | 0.0878506i | ||||
\(178\) | 3.41573 | − | 1.10984i | 0.256020 | − | 0.0831860i | ||||
\(179\) | 4.81451 | − | 6.62661i | 0.359854 | − | 0.495296i | −0.590254 | − | 0.807217i | \(-0.700973\pi\) |
0.950108 | + | 0.311921i | \(0.100973\pi\) | |||||||
\(180\) | −4.50698 | + | 0.114144i | −0.335931 | + | 0.00850781i | ||||
\(181\) | −3.94617 | − | 1.28219i | −0.293317 | − | 0.0953043i | 0.158662 | − | 0.987333i | \(-0.449282\pi\) |
−0.451979 | + | 0.892029i | \(0.649282\pi\) | |||||||
\(182\) | −5.51751 | + | 2.99499i | −0.408985 | + | 0.222004i | ||||
\(183\) | −3.03127 | − | 8.94245i | −0.224078 | − | 0.661045i | ||||
\(184\) | −14.3245 | − | 10.4074i | −1.05602 | − | 0.767241i | ||||
\(185\) | −8.63161 | − | 26.5654i | −0.634608 | − | 1.95312i | ||||
\(186\) | −8.29624 | − | 2.57996i | −0.608310 | − | 0.189172i | ||||
\(187\) | 8.63844 | + | 17.0621i | 0.631706 | + | 1.24771i | ||||
\(188\) | 2.79432 | 0.203797 | ||||||||
\(189\) | −13.4130 | + | 3.01536i | −0.975650 | + | 0.219335i | ||||
\(190\) | −17.5993 | − | 12.7866i | −1.27679 | − | 0.927639i | ||||
\(191\) | 4.45001 | + | 6.12491i | 0.321991 | + | 0.443183i | 0.939074 | − | 0.343715i | \(-0.111685\pi\) |
−0.617082 | + | 0.786899i | \(0.711685\pi\) | |||||||
\(192\) | 8.88981 | − | 12.5673i | 0.641567 | − | 0.906969i | ||||
\(193\) | 4.62029 | − | 14.2198i | 0.332576 | − | 1.02356i | −0.635328 | − | 0.772243i | \(-0.719135\pi\) |
0.967904 | − | 0.251321i | \(-0.0808651\pi\) | |||||||
\(194\) | 10.4875 | − | 7.61962i | 0.752959 | − | 0.547057i | ||||
\(195\) | 8.35879 | − | 6.23621i | 0.598585 | − | 0.446585i | ||||
\(196\) | −3.13998 | + | 1.20455i | −0.224285 | + | 0.0860394i | ||||
\(197\) | 18.2597i | 1.30095i | 0.759526 | + | 0.650476i | \(0.225431\pi\) | ||||
−0.759526 | + | 0.650476i | \(0.774569\pi\) | |||||||
\(198\) | −8.86789 | − | 8.47329i | −0.630214 | − | 0.602171i | ||||
\(199\) | − | 25.7556i | − | 1.82577i | −0.408220 | − | 0.912883i | \(-0.633851\pi\) | ||
0.408220 | − | 0.912883i | \(-0.366149\pi\) | |||||||
\(200\) | −13.9124 | + | 4.52040i | −0.983753 | + | 0.319641i | ||||
\(201\) | 3.84188 | + | 5.14952i | 0.270985 | + | 0.363219i | ||||
\(202\) | 0.742698 | + | 1.02224i | 0.0522560 | + | 0.0719243i | ||||
\(203\) | 5.18746 | + | 9.55656i | 0.364088 | + | 0.670739i | ||||
\(204\) | 2.77103 | − | 3.91734i | 0.194011 | − | 0.274269i | ||||
\(205\) | −7.95219 | + | 5.77760i | −0.555405 | + | 0.403525i | ||||
\(206\) | 1.07558 | + | 0.781452i | 0.0749389 | + | 0.0544463i | ||||
\(207\) | 16.6526 | + | 4.94829i | 1.15743 | + | 0.343930i | ||||
\(208\) | 5.40571i | 0.374819i | ||||||||
\(209\) | 2.87966 | + | 18.4888i | 0.199190 | + | 1.27890i | ||||
\(210\) | −15.4214 | + | 8.62553i | −1.06418 | + | 0.595218i | ||||
\(211\) | 1.10921 | + | 3.41380i | 0.0763613 | + | 0.235016i | 0.981950 | − | 0.189141i | \(-0.0605704\pi\) |
−0.905589 | + | 0.424157i | \(0.860570\pi\) | |||||||
\(212\) | 1.76920 | − | 2.43510i | 0.121509 | − | 0.167243i | ||||
\(213\) | −7.42459 | − | 21.9030i | −0.508725 | − | 1.50077i | ||||
\(214\) | −0.775043 | + | 2.38534i | −0.0529808 | + | 0.163058i | ||||
\(215\) | −6.71797 | + | 20.6758i | −0.458162 | + | 1.41008i | ||||
\(216\) | −4.33236 | + | 15.2859i | −0.294779 | + | 1.04008i | ||||
\(217\) | 10.5860 | − | 1.96082i | 0.718624 | − | 0.133109i | ||||
\(218\) | −10.8434 | + | 3.52324i | −0.734409 | + | 0.238624i | ||||
\(219\) | −4.13476 | + | 13.2959i | −0.279401 | + | 0.898455i | ||||
\(220\) | 4.43518 | + | 2.27421i | 0.299019 | + | 0.153327i | ||||
\(221\) | 11.0994i | 0.746629i | ||||||||
\(222\) | −19.0648 | + | 0.241379i | −1.27954 | + | 0.0162003i | ||||
\(223\) | −7.35053 | + | 10.1171i | −0.492228 | + | 0.677493i | −0.980797 | − | 0.195032i | \(-0.937519\pi\) |
0.488569 | + | 0.872525i | \(0.337519\pi\) | |||||||
\(224\) | −0.917114 | + | 6.96038i | −0.0612772 | + | 0.465060i | ||||
\(225\) | 11.3941 | − | 8.72748i | 0.759609 | − | 0.581832i | ||||
\(226\) | 1.38134 | − | 4.25133i | 0.0918855 | − | 0.282795i | ||||
\(227\) | −18.8958 | + | 13.7286i | −1.25416 | + | 0.911202i | −0.998456 | − | 0.0555530i | \(-0.982308\pi\) |
−0.255706 | + | 0.966755i | \(0.582308\pi\) | |||||||
\(228\) | 3.76295 | − | 2.80741i | 0.249207 | − | 0.185925i | ||||
\(229\) | 22.9123 | − | 7.44464i | 1.51408 | − | 0.491956i | 0.569996 | − | 0.821648i | \(-0.306945\pi\) |
0.944089 | + | 0.329692i | \(0.106945\pi\) | |||||||
\(230\) | 22.3283 | 1.47228 | ||||||||
\(231\) | 14.6152 | + | 4.17096i | 0.961607 | + | 0.274429i | ||||
\(232\) | 12.5666 | 0.825035 | ||||||||
\(233\) | 3.07237 | − | 0.998274i | 0.201278 | − | 0.0653991i | −0.206643 | − | 0.978416i | \(-0.566254\pi\) |
0.407921 | + | 0.913017i | \(0.366254\pi\) | |||||||
\(234\) | −2.37045 | − | 6.71227i | −0.154961 | − | 0.438795i | ||||
\(235\) | −14.7182 | + | 10.6934i | −0.960108 | + | 0.697559i | ||||
\(236\) | 0.337372 | − | 1.03832i | 0.0219610 | − | 0.0675891i | ||||
\(237\) | 7.17500 | − | 10.1431i | 0.466067 | − | 0.658868i | ||||
\(238\) | 2.45669 | − | 18.6449i | 0.159243 | − | 1.20857i | ||||
\(239\) | 1.62258 | − | 2.23329i | 0.104956 | − | 0.144460i | −0.753308 | − | 0.657668i | \(-0.771543\pi\) |
0.858264 | + | 0.513208i | \(0.171543\pi\) | |||||||
\(240\) | 0.192618 | + | 15.2135i | 0.0124335 | + | 0.982028i | ||||
\(241\) | − | 15.9400i | − | 1.02678i | −0.858154 | − | 0.513392i | \(-0.828389\pi\) | ||
0.858154 | − | 0.513392i | \(-0.171611\pi\) | |||||||
\(242\) | 4.12386 | + | 12.9174i | 0.265092 | + | 0.830364i | ||||
\(243\) | −0.986116 | − | 15.5572i | −0.0632594 | − | 0.997997i | ||||
\(244\) | 2.49094 | − | 0.809354i | 0.159466 | − | 0.0518136i | ||||
\(245\) | 11.9292 | − | 18.3608i | 0.762131 | − | 1.17303i | ||||
\(246\) | 2.15395 | + | 6.35429i | 0.137331 | + | 0.405135i | ||||
\(247\) | −3.35591 | + | 10.3284i | −0.213531 | + | 0.657182i | ||||
\(248\) | 3.84483 | − | 11.8332i | 0.244147 | − | 0.751408i | ||||
\(249\) | −10.2972 | + | 3.49051i | −0.652561 | + | 0.221202i | ||||
\(250\) | −0.489147 | + | 0.673252i | −0.0309363 | + | 0.0425802i | ||||
\(251\) | −2.17901 | − | 6.70629i | −0.137538 | − | 0.423297i | 0.858438 | − | 0.512917i | \(-0.171435\pi\) |
−0.995976 | + | 0.0896192i | \(0.971435\pi\) | |||||||
\(252\) | −0.789243 | − | 3.73083i | −0.0497176 | − | 0.235020i | ||||
\(253\) | −13.5456 | − | 13.6153i | −0.851601 | − | 0.855989i | ||||
\(254\) | − | 19.8096i | − | 1.24297i | ||||||
\(255\) | 0.395499 | + | 31.2376i | 0.0247671 | + | 1.95617i | ||||
\(256\) | 8.74706 | + | 6.35511i | 0.546691 | + | 0.397194i | ||||
\(257\) | 9.08063 | − | 6.59746i | 0.566434 | − | 0.411538i | −0.267374 | − | 0.963593i | \(-0.586156\pi\) |
0.833808 | + | 0.552054i | \(0.186156\pi\) | |||||||
\(258\) | 12.1147 | + | 8.56962i | 0.754228 | + | 0.533521i | ||||
\(259\) | 20.7644 | − | 11.2713i | 1.29024 | − | 0.700363i | ||||
\(260\) | 1.70033 | + | 2.34031i | 0.105450 | + | 0.145140i | ||||
\(261\) | −11.6259 | + | 4.10572i | −0.719628 | + | 0.254138i | ||||
\(262\) | −5.50023 | + | 1.78713i | −0.339805 | + | 0.110409i | ||||
\(263\) | 8.45856i | 0.521577i | 0.965396 | + | 0.260789i | \(0.0839825\pi\) | ||||
−0.965396 | + | 0.260789i | \(0.916017\pi\) | |||||||
\(264\) | 12.2943 | − | 12.5449i | 0.756660 | − | 0.772087i | ||||
\(265\) | 19.5965i | 1.20380i | ||||||||
\(266\) | 7.92331 | − | 16.6070i | 0.485809 | − | 1.01824i | ||||
\(267\) | −3.01764 | − | 4.04473i | −0.184676 | − | 0.247533i | ||||
\(268\) | −1.44177 | + | 1.04751i | −0.0880701 | + | 0.0639867i | ||||
\(269\) | −6.36071 | + | 19.5763i | −0.387819 | + | 1.19359i | 0.546595 | + | 0.837397i | \(0.315924\pi\) |
−0.934414 | + | 0.356188i | \(0.884076\pi\) | |||||||
\(270\) | −6.91043 | − | 18.8062i | −0.420555 | − | 1.14451i | ||||
\(271\) | −12.3298 | − | 16.9706i | −0.748984 | − | 1.03089i | −0.998051 | − | 0.0624022i | \(-0.980124\pi\) |
0.249067 | − | 0.968486i | \(-0.419876\pi\) | |||||||
\(272\) | −13.1005 | − | 9.51809i | −0.794336 | − | 0.577119i | ||||
\(273\) | 6.47429 | + | 5.99122i | 0.391842 | + | 0.362605i | ||||
\(274\) | 4.04816 | 0.244558 | ||||||||
\(275\) | −15.6783 | + | 2.44192i | −0.945436 | + | 0.147253i | ||||
\(276\) | −1.43094 | + | 4.60141i | −0.0861327 | + | 0.276972i | ||||
\(277\) | 5.06840 | + | 15.5989i | 0.304531 | + | 0.937249i | 0.979852 | + | 0.199725i | \(0.0640049\pi\) |
−0.675321 | + | 0.737524i | \(0.735995\pi\) | |||||||
\(278\) | 2.95847 | + | 2.14945i | 0.177437 | + | 0.128916i | ||||
\(279\) | 0.309070 | + | 12.2036i | 0.0185036 | + | 0.730613i | ||||
\(280\) | −12.0719 | − | 22.2394i | −0.721434 | − | 1.32906i | ||||
\(281\) | 14.2425 | + | 4.62767i | 0.849636 | + | 0.276063i | 0.701293 | − | 0.712873i | \(-0.252606\pi\) |
0.148342 | + | 0.988936i | \(0.452606\pi\) | |||||||
\(282\) | 3.98660 | + | 11.7607i | 0.237398 | + | 0.700342i | ||||
\(283\) | −5.76795 | + | 7.93890i | −0.342869 | + | 0.471918i | −0.945277 | − | 0.326270i | \(-0.894208\pi\) |
0.602408 | + | 0.798188i | \(0.294208\pi\) | |||||||
\(284\) | 6.10114 | − | 1.98238i | 0.362036 | − | 0.117633i | ||||
\(285\) | −9.07665 | + | 29.1873i | −0.537654 | + | 1.72891i | ||||
\(286\) | −1.25108 | + | 7.76977i | −0.0739781 | + | 0.459436i | ||||
\(287\) | −6.03023 | − | 5.72371i | −0.355953 | − | 0.337860i | ||||
\(288\) | −7.63078 | − | 2.26747i | −0.449648 | − | 0.133612i | ||||
\(289\) | −13.1457 | − | 9.55094i | −0.773279 | − | 0.561820i | ||||
\(290\) | −12.8206 | + | 9.31468i | −0.752849 | + | 0.546977i | ||||
\(291\) | −14.8702 | − | 10.5188i | −0.871705 | − | 0.616622i | ||||
\(292\) | −3.67326 | − | 1.19351i | −0.214961 | − | 0.0698451i | ||||
\(293\) | 12.6768 | − | 9.21022i | 0.740585 | − | 0.538067i | −0.152309 | − | 0.988333i | \(-0.548671\pi\) |
0.892894 | + | 0.450266i | \(0.148671\pi\) | |||||||
\(294\) | −9.54947 | − | 11.4971i | −0.556936 | − | 0.670522i | ||||
\(295\) | 2.19649 | + | 6.76010i | 0.127885 | + | 0.393588i | ||||
\(296\) | − | 27.3045i | − | 1.58704i | ||||||
\(297\) | −7.27538 | + | 15.6227i | −0.422161 | + | 0.906521i | ||||
\(298\) | −4.83833 | −0.280277 | ||||||||
\(299\) | −3.44451 | − | 10.6011i | −0.199201 | − | 0.613079i | ||||
\(300\) | 2.38066 | + | 3.19094i | 0.137447 | + | 0.184229i | ||||
\(301\) | −18.2308 | − | 2.40212i | −1.05080 | − | 0.138456i | ||||
\(302\) | 17.5591 | + | 5.70529i | 1.01041 | + | 0.328303i | ||||
\(303\) | 1.02528 | − | 1.44942i | 0.0589011 | − | 0.0832672i | ||||
\(304\) | −9.31273 | − | 12.8179i | −0.534122 | − | 0.735156i | ||||
\(305\) | −10.0229 | + | 13.7954i | −0.573912 | + | 0.789922i | ||||
\(306\) | 20.4407 | + | 6.07392i | 1.16852 | + | 0.347223i | ||||
\(307\) | − | 4.77487i | − | 0.272516i | −0.990673 | − | 0.136258i | \(-0.956492\pi\) | ||
0.990673 | − | 0.136258i | \(-0.0435077\pi\) | |||||||
\(308\) | −1.20819 | + | 4.03904i | −0.0688430 | + | 0.230146i | ||||
\(309\) | 0.554717 | − | 1.78377i | 0.0315568 | − | 0.101475i | ||||
\(310\) | 4.84854 | + | 14.9223i | 0.275378 | + | 0.847527i | ||||
\(311\) | 7.45330 | + | 5.41514i | 0.422638 | + | 0.307064i | 0.778698 | − | 0.627399i | \(-0.215880\pi\) |
−0.356060 | + | 0.934463i | \(0.615880\pi\) | |||||||
\(312\) | 9.65475 | − | 3.27272i | 0.546592 | − | 0.185281i | ||||
\(313\) | 25.7541 | + | 8.36800i | 1.45571 | + | 0.472987i | 0.926755 | − | 0.375666i | \(-0.122586\pi\) |
0.528950 | + | 0.848653i | \(0.322586\pi\) | |||||||
\(314\) | 4.57999 | − | 14.0958i | 0.258464 | − | 0.795470i | ||||
\(315\) | 18.4343 | + | 16.6307i | 1.03866 | + | 0.937031i | ||||
\(316\) | 2.78812 | + | 2.02569i | 0.156844 | + | 0.113954i | ||||
\(317\) | 0.772203 | − | 0.250904i | 0.0433712 | − | 0.0140922i | −0.287251 | − | 0.957855i | \(-0.592741\pi\) |
0.330622 | + | 0.943763i | \(0.392741\pi\) | |||||||
\(318\) | 12.7729 | + | 3.97211i | 0.716270 | + | 0.222745i | ||||
\(319\) | 13.4576 | + | 2.16693i | 0.753479 | + | 0.121325i | ||||
\(320\) | −27.8000 | −1.55407 | ||||||||
\(321\) | 3.52379 | − | 0.0446148i | 0.196679 | − | 0.00249015i | ||||
\(322\) | 3.43971 | + | 18.5702i | 0.191688 | + | 1.03488i | ||||
\(323\) | −19.1216 | − | 26.3187i | −1.06396 | − | 1.46441i | ||||
\(324\) | 4.31844 | − | 0.218879i | 0.239914 | − | 0.0121599i | ||||
\(325\) | −8.75840 | − | 2.84578i | −0.485829 | − | 0.157855i | ||||
\(326\) | −9.02204 | − | 12.4178i | −0.499685 | − | 0.687757i | ||||
\(327\) | 9.57963 | + | 12.8402i | 0.529755 | + | 0.710064i | ||||
\(328\) | −9.13820 | + | 2.96918i | −0.504573 | + | 0.163946i | ||||
\(329\) | −11.1609 | − | 10.5936i | −0.615323 | − | 0.584046i | ||||
\(330\) | −3.24412 | + | 21.9113i | −0.178583 | + | 1.20618i | ||||
\(331\) | 22.3929 | 1.23083 | 0.615413 | − | 0.788205i | \(-0.288989\pi\) | ||||
0.615413 | + | 0.788205i | \(0.288989\pi\) | |||||||
\(332\) | −0.931972 | − | 2.86832i | −0.0511486 | − | 0.157419i | ||||
\(333\) | 8.92090 | + | 25.2608i | 0.488862 | + | 1.38428i | ||||
\(334\) | −2.31783 | − | 3.19022i | −0.126826 | − | 0.174561i | ||||
\(335\) | 3.58543 | − | 11.0348i | 0.195893 | − | 0.602896i | ||||
\(336\) | −12.6233 | + | 2.50387i | −0.688656 | + | 0.136597i | ||||
\(337\) | 19.5755 | − | 14.2224i | 1.06634 | − | 0.774744i | 0.0910919 | − | 0.995842i | \(-0.470964\pi\) |
0.975251 | + | 0.221099i | \(0.0709643\pi\) | |||||||
\(338\) | 6.73462 | − | 9.26940i | 0.366315 | − | 0.504189i | ||||
\(339\) | −6.28039 | + | 0.0795160i | −0.341104 | + | 0.00431872i | ||||
\(340\) | −8.66550 | −0.469953 | ||||||||
\(341\) | 6.15792 | − | 12.0092i | 0.333470 | − | 0.650335i | ||||
\(342\) | 17.1844 | + | 11.8322i | 0.929224 | + | 0.639814i | ||||
\(343\) | 17.1082 | + | 7.09292i | 0.923756 | + | 0.382982i | ||||
\(344\) | −12.4911 | + | 17.1925i | −0.673474 | + | 0.926958i | ||||
\(345\) | −10.0718 | − | 29.7124i | −0.542246 | − | 1.59966i | ||||
\(346\) | 15.8077 | + | 5.13622i | 0.849825 | + | 0.276125i | ||||
\(347\) | −20.4624 | − | 6.64864i | −1.09848 | − | 0.356918i | −0.296962 | − | 0.954889i | \(-0.595974\pi\) |
−0.801517 | + | 0.597972i | \(0.795974\pi\) | |||||||
\(348\) | −1.09794 | − | 3.23901i | −0.0588560 | − | 0.173629i | ||||
\(349\) | −1.69693 | + | 2.33563i | −0.0908348 | + | 0.125023i | −0.852016 | − | 0.523516i | \(-0.824620\pi\) |
0.761181 | + | 0.648540i | \(0.224620\pi\) | |||||||
\(350\) | 14.0825 | + | 6.71888i | 0.752743 | + | 0.359139i | ||||
\(351\) | −7.86283 | + | 6.18214i | −0.419687 | + | 0.329978i | ||||
\(352\) | 6.20703 | + | 6.23901i | 0.330836 | + | 0.332540i | ||||
\(353\) | 33.3905 | 1.77720 | 0.888598 | − | 0.458687i | \(-0.151680\pi\) | ||||
0.888598 | + | 0.458687i | \(0.151680\pi\) | |||||||
\(354\) | 4.85142 | − | 0.0614239i | 0.257850 | − | 0.00326464i | ||||
\(355\) | −24.5496 | + | 33.7896i | −1.30295 | + | 1.79336i | ||||
\(356\) | 1.13245 | − | 0.822773i | 0.0600197 | − | 0.0436069i | ||||
\(357\) | −25.9191 | + | 5.14115i | −1.37178 | + | 0.272098i | ||||
\(358\) | −3.12014 | + | 9.60282i | −0.164905 | + | 0.507525i | ||||
\(359\) | −3.09333 | − | 4.25760i | −0.163260 | − | 0.224708i | 0.719548 | − | 0.694443i | \(-0.244349\pi\) |
−0.882807 | + | 0.469736i | \(0.844349\pi\) | |||||||
\(360\) | 27.0551 | − | 9.55457i | 1.42593 | − | 0.503570i | ||||
\(361\) | −3.96461 | − | 12.2018i | −0.208664 | − | 0.642201i | ||||
\(362\) | 5.11479 | 0.268828 | ||||||||
\(363\) | 15.3292 | − | 11.3144i | 0.804573 | − | 0.593854i | ||||
\(364\) | −1.68447 | + | 1.77468i | −0.0882903 | + | 0.0930185i | ||||
\(365\) | 23.9151 | − | 7.77048i | 1.25177 | − | 0.406725i | ||||
\(366\) | 6.96018 | + | 9.32917i | 0.363815 | + | 0.487644i | ||||
\(367\) | −7.14408 | − | 9.83298i | −0.372918 | − | 0.513277i | 0.580773 | − | 0.814065i | \(-0.302750\pi\) |
−0.953691 | + | 0.300788i | \(0.902750\pi\) | |||||||
\(368\) | 15.4661 | + | 5.02526i | 0.806229 | + | 0.261960i | ||||
\(369\) | 7.48412 | − | 5.73256i | 0.389608 | − | 0.298425i | ||||
\(370\) | 20.2389 | + | 27.8564i | 1.05217 | + | 1.44819i | ||||
\(371\) | −16.2982 | + | 3.01888i | −0.846162 | + | 0.156733i | ||||
\(372\) | −3.38591 | + | 0.0428690i | −0.175551 | + | 0.00222266i | ||||
\(373\) | 1.61637 | 0.0836924 | 0.0418462 | − | 0.999124i | \(-0.486676\pi\) | ||||
0.0418462 | + | 0.999124i | \(0.486676\pi\) | |||||||
\(374\) | −16.6269 | − | 16.7125i | −0.859755 | − | 0.864185i | ||||
\(375\) | 1.11655 | + | 0.347223i | 0.0576582 | + | 0.0179305i | ||||
\(376\) | −16.9133 | + | 5.49546i | −0.872237 | + | 0.283407i | ||||
\(377\) | 6.40026 | + | 4.65006i | 0.329630 | + | 0.239490i | ||||
\(378\) | 14.5763 | − | 8.64447i | 0.749726 | − | 0.444623i | ||||
\(379\) | 2.96126 | − | 9.11383i | 0.152110 | − | 0.468146i | −0.845747 | − | 0.533585i | \(-0.820845\pi\) |
0.997857 | + | 0.0654384i | \(0.0208446\pi\) | |||||||
\(380\) | −8.06356 | − | 2.62001i | −0.413652 | − | 0.134404i | ||||
\(381\) | −26.3609 | + | 8.93567i | −1.35051 | + | 0.457788i | ||||
\(382\) | −7.55020 | − | 5.48554i | −0.386302 | − | 0.280665i | ||||
\(383\) | −3.63546 | − | 11.1888i | −0.185763 | − | 0.571721i | 0.814197 | − | 0.580588i | \(-0.197177\pi\) |
−0.999961 | + | 0.00886739i | \(0.997177\pi\) | |||||||
\(384\) | −2.90533 | + | 9.34253i | −0.148262 | + | 0.476759i | ||||
\(385\) | −9.09296 | − | 25.8979i | −0.463420 | − | 1.31988i | ||||
\(386\) | 18.4309i | 0.938107i | ||||||||
\(387\) | 5.93902 | − | 19.9867i | 0.301897 | − | 1.01598i | ||||
\(388\) | 2.96973 | − | 4.08748i | 0.150765 | − | 0.207510i | ||||
\(389\) | 11.4618 | + | 15.7758i | 0.581134 | + | 0.799862i | 0.993819 | − | 0.111011i | \(-0.0354090\pi\) |
−0.412685 | + | 0.910874i | \(0.635409\pi\) | |||||||
\(390\) | −7.42406 | + | 10.4952i | −0.375932 | + | 0.531447i | ||||
\(391\) | 31.7563 | + | 10.3182i | 1.60599 | + | 0.521816i | ||||
\(392\) | 16.6366 | − | 13.4661i | 0.840274 | − | 0.680141i | ||||
\(393\) | 4.85918 | + | 6.51307i | 0.245113 | + | 0.328541i | ||||
\(394\) | −6.95561 | − | 21.4072i | −0.350419 | − | 1.07848i | ||||
\(395\) | −22.4375 | −1.12895 | ||||||||
\(396\) | −4.30759 | − | 2.07277i | −0.216465 | − | 0.104161i | ||||
\(397\) | − | 10.3361i | − | 0.518756i | −0.965776 | − | 0.259378i | \(-0.916482\pi\) | ||
0.965776 | − | 0.259378i | \(-0.0835175\pi\) | |||||||
\(398\) | 9.81099 | + | 30.1951i | 0.491780 | + | 1.51354i | ||||
\(399\) | −25.6731 | − | 3.05260i | −1.28526 | − | 0.152821i | ||||
\(400\) | 10.8694 | − | 7.89710i | 0.543471 | − | 0.394855i | ||||
\(401\) | 33.9387 | + | 11.0274i | 1.69482 | + | 0.550680i | 0.987692 | − | 0.156409i | \(-0.0499917\pi\) |
0.707125 | + | 0.707088i | \(0.249992\pi\) | |||||||
\(402\) | −6.46569 | − | 4.57367i | −0.322480 | − | 0.228114i | ||||
\(403\) | 6.33690 | − | 4.60402i | 0.315663 | − | 0.229343i | ||||
\(404\) | 0.398414 | + | 0.289465i | 0.0198218 | + | 0.0144014i | ||||
\(405\) | −21.9084 | + | 17.6788i | −1.08864 | + | 0.878467i | ||||
\(406\) | −9.72196 | − | 9.22779i | −0.482493 | − | 0.457967i | ||||
\(407\) | 4.70829 | − | 29.2405i | 0.233381 | − | 1.44940i | ||||
\(408\) | −9.06826 | + | 29.1603i | −0.448946 | + | 1.44365i | ||||
\(409\) | 10.0010 | − | 3.24953i | 0.494519 | − | 0.160679i | −0.0511311 | − | 0.998692i | \(-0.516283\pi\) |
0.545650 | + | 0.838013i | \(0.316283\pi\) | |||||||
\(410\) | 7.12207 | − | 9.80268i | 0.351734 | − | 0.484120i | ||||
\(411\) | −1.82603 | − | 5.38693i | −0.0900716 | − | 0.265717i | ||||
\(412\) | 0.492803 | + | 0.160121i | 0.0242786 | + | 0.00788861i | ||||
\(413\) | −5.28394 | + | 2.86821i | −0.260006 | + | 0.141135i | ||||
\(414\) | −21.4079 | + | 0.542179i | −1.05214 | + | 0.0266466i | ||||
\(415\) | 15.8854 | + | 11.5414i | 0.779784 | + | 0.566546i | ||||
\(416\) | 1.57839 | + | 4.85779i | 0.0773871 | + | 0.238173i | ||||
\(417\) | 1.52580 | − | 4.90644i | 0.0747188 | − | 0.240269i | ||||
\(418\) | −10.4189 | − | 20.5788i | −0.509604 | − | 1.00654i | ||||
\(419\) | −33.4067 | −1.63203 | −0.816013 | − | 0.578034i | \(-0.803820\pi\) | ||||
−0.816013 | + | 0.578034i | \(0.803820\pi\) | |||||||
\(420\) | −4.67744 | + | 5.05457i | −0.228236 | + | 0.246638i | ||||
\(421\) | 9.76280 | + | 7.09309i | 0.475810 | + | 0.345696i | 0.799701 | − | 0.600398i | \(-0.204991\pi\) |
−0.323891 | + | 0.946094i | \(0.604991\pi\) | |||||||
\(422\) | −2.60081 | − | 3.57971i | −0.126606 | − | 0.174258i | ||||
\(423\) | 13.8519 | − | 10.6100i | 0.673501 | − | 0.515876i | ||||
\(424\) | −5.91952 | + | 18.2184i | −0.287477 | + | 0.884764i | ||||
\(425\) | 22.3179 | − | 16.2149i | 1.08258 | − | 0.786540i | ||||
\(426\) | 17.0478 | + | 22.8503i | 0.825969 | + | 1.10710i | ||||
\(427\) | −13.0176 | − | 6.21078i | −0.629964 | − | 0.300561i | ||||
\(428\) | 0.977522i | 0.0472503i | ||||||||
\(429\) | 10.9036 | − | 1.83994i | 0.526433 | − | 0.0888331i | ||||
\(430\) | − | 26.7987i | − | 1.29235i | ||||||
\(431\) | 25.7987 | − | 8.38249i | 1.24268 | − | 0.403771i | 0.387386 | − | 0.921917i | \(-0.373378\pi\) |
0.855292 | + | 0.518147i | \(0.173378\pi\) | |||||||
\(432\) | −0.554097 | − | 14.5818i | −0.0266590 | − | 0.701566i | ||||
\(433\) | 14.1845 | + | 19.5233i | 0.681664 | + | 0.938230i | 0.999952 | − | 0.00976391i | \(-0.00310800\pi\) |
−0.318288 | + | 0.947994i | \(0.603108\pi\) | |||||||
\(434\) | −11.6638 | + | 6.33128i | −0.559879 | + | 0.303911i | ||||
\(435\) | 18.1782 | + | 12.8588i | 0.871578 | + | 0.616532i | ||||
\(436\) | −3.59502 | + | 2.61193i | −0.172170 | + | 0.125089i | ||||
\(437\) | 26.4307 | + | 19.2030i | 1.26435 | + | 0.918605i | ||||
\(438\) | −0.217298 | − | 17.1628i | −0.0103829 | − | 0.820069i | ||||
\(439\) | 26.1523i | 1.24818i | 0.781353 | + | 0.624090i | \(0.214530\pi\) | ||||
−0.781353 | + | 0.624090i | \(0.785470\pi\) | |||||||
\(440\) | −31.3176 | − | 5.04274i | −1.49301 | − | 0.240403i | ||||
\(441\) | −10.9917 | + | 17.8936i | −0.523415 | + | 0.852078i | ||||
\(442\) | −4.22807 | − | 13.0126i | −0.201109 | − | 0.618949i | ||||
\(443\) | 6.06024 | − | 8.34121i | 0.287931 | − | 0.396303i | −0.640410 | − | 0.768033i | \(-0.721235\pi\) |
0.928341 | + | 0.371731i | \(0.121235\pi\) | |||||||
\(444\) | −7.03770 | + | 2.38561i | −0.333995 | + | 0.113216i | ||||
\(445\) | −2.81620 | + | 8.66738i | −0.133501 | + | 0.410873i | ||||
\(446\) | 4.76366 | − | 14.6610i | 0.225566 | − | 0.694220i | ||||
\(447\) | 2.18246 | + | 6.43841i | 0.103227 | + | 0.304526i | ||||
\(448\) | −4.28265 | − | 23.1210i | −0.202336 | − | 1.09237i | ||||
\(449\) | −20.3426 | + | 6.60972i | −0.960028 | + | 0.311932i | −0.746784 | − | 0.665067i | \(-0.768403\pi\) |
−0.213244 | + | 0.976999i | \(0.568403\pi\) | |||||||
\(450\) | −10.0336 | + | 14.5722i | −0.472989 | + | 0.686938i | ||||
\(451\) | −10.2981 | + | 1.60395i | −0.484920 | + | 0.0755271i | ||||
\(452\) | − | 1.74222i | − | 0.0819470i | ||||||
\(453\) | −0.328421 | − | 25.9396i | −0.0154306 | − | 1.21875i | ||||
\(454\) | 16.9233 | − | 23.2930i | 0.794251 | − | 1.09319i | ||||
\(455\) | 2.08102 | − | 15.7937i | 0.0975595 | − | 0.740422i | ||||
\(456\) | −17.2550 | + | 24.3930i | −0.808038 | + | 1.14231i | ||||
\(457\) | −4.11115 | + | 12.6528i | −0.192311 | + | 0.591874i | 0.807686 | + | 0.589613i | \(0.200720\pi\) |
−0.999997 | + | 0.00226099i | \(0.999280\pi\) | |||||||
\(458\) | −24.0258 | + | 17.4558i | −1.12265 | + | 0.815654i | ||||
\(459\) | −1.13771 | − | 29.9404i | −0.0531040 | − | 1.39750i | ||||
\(460\) | 8.27646 | − | 2.68918i | 0.385892 | − | 0.125384i | ||||
\(461\) | −1.89461 | −0.0882406 | −0.0441203 | − | 0.999026i | \(-0.514048\pi\) | ||||
−0.0441203 | + | 0.999026i | \(0.514048\pi\) | |||||||
\(462\) | −18.7232 | + | 0.677385i | −0.871083 | + | 0.0315148i | ||||
\(463\) | −5.58207 | −0.259421 | −0.129710 | − | 0.991552i | \(-0.541405\pi\) | ||||
−0.129710 | + | 0.991552i | \(0.541405\pi\) | |||||||
\(464\) | −10.9768 | + | 3.56659i | −0.509586 | + | 0.165575i | ||||
\(465\) | 17.6701 | − | 13.1831i | 0.819433 | − | 0.611351i | ||||
\(466\) | −3.22169 | + | 2.34069i | −0.149242 | + | 0.108430i | ||||
\(467\) | −9.05072 | + | 27.8552i | −0.418817 | + | 1.28899i | 0.489974 | + | 0.871737i | \(0.337006\pi\) |
−0.908792 | + | 0.417250i | \(0.862994\pi\) | |||||||
\(468\) | −1.68708 | − | 2.20256i | −0.0779851 | − | 0.101813i | ||||
\(469\) | 9.72989 | + | 1.28203i | 0.449285 | + | 0.0591987i | ||||
\(470\) | 13.1818 | − | 18.1431i | 0.608029 | − | 0.836881i | ||||
\(471\) | −20.8233 | + | 0.263644i | −0.959487 | + | 0.0121481i | ||||
\(472\) | 6.94820i | 0.319817i | ||||||||
\(473\) | −16.3414 | + | 16.2576i | −0.751376 | + | 0.747525i | ||||
\(474\) | −4.54797 | + | 14.6247i | −0.208895 | + | 0.671733i | ||||
\(475\) | 25.6703 | − | 8.34077i | 1.17783 | − | 0.382701i | ||||
\(476\) | −1.33494 | − | 7.20701i | −0.0611868 | − | 0.330333i | ||||
\(477\) | −0.475846 | − | 18.7888i | −0.0217875 | − | 0.860279i | ||||
\(478\) | −1.05155 | + | 3.23633i | −0.0480967 | + | 0.148026i | ||||
\(479\) | 4.45113 | − | 13.6992i | 0.203377 | − | 0.625931i | −0.796399 | − | 0.604772i | \(-0.793264\pi\) |
0.999776 | − | 0.0211595i | \(-0.00673576\pi\) | |||||||
\(480\) | 4.61523 | + | 13.6152i | 0.210655 | + | 0.621448i | ||||
\(481\) | 10.1036 | − | 13.9064i | 0.460686 | − | 0.634079i | ||||
\(482\) | 6.07195 | + | 18.6875i | 0.276570 | + | 0.851194i | ||||
\(483\) | 23.1600 | − | 12.9539i | 1.05381 | − | 0.589421i | ||||
\(484\) | 3.08436 | + | 4.29146i | 0.140198 | + | 0.195066i | ||||
\(485\) | 32.8941i | 1.49364i | ||||||||
\(486\) | 7.08225 | + | 17.8632i | 0.321257 | + | 0.810291i | ||||
\(487\) | −21.8845 | − | 15.9000i | −0.991681 | − | 0.720498i | −0.0313924 | − | 0.999507i | \(-0.509994\pi\) |
−0.960289 | + | 0.279009i | \(0.909994\pi\) | |||||||
\(488\) | −13.4853 | + | 9.79763i | −0.610450 | + | 0.443518i | ||||
\(489\) | −12.4548 | + | 17.6071i | −0.563226 | + | 0.796221i | ||||
\(490\) | −6.99140 | + | 26.0698i | −0.315839 | + | 1.17771i | ||||
\(491\) | 12.5047 | + | 17.2112i | 0.564328 | + | 0.776731i | 0.991869 | − | 0.127265i | \(-0.0406199\pi\) |
−0.427541 | + | 0.903996i | \(0.640620\pi\) | |||||||
\(492\) | 1.56371 | + | 2.09594i | 0.0704975 | + | 0.0944922i | ||||
\(493\) | −22.5385 | + | 7.32319i | −1.01508 | + | 0.329820i | ||||
\(494\) | − | 13.3871i | − | 0.602314i | ||||||
\(495\) | 30.6210 | − | 5.56674i | 1.37631 | − | 0.250206i | ||||
\(496\) | 11.4274i | 0.513108i | ||||||||
\(497\) | −31.8844 | − | 15.2123i | −1.43021 | − | 0.682364i | ||||
\(498\) | 10.7425 | − | 8.01465i | 0.481385 | − | 0.359145i | ||||
\(499\) | −30.9021 | + | 22.4517i | −1.38337 | + | 1.00508i | −0.386811 | + | 0.922159i | \(0.626423\pi\) |
−0.996556 | + | 0.0829165i | \(0.973577\pi\) | |||||||
\(500\) | −0.100227 | + | 0.308468i | −0.00448230 | + | 0.0137951i | ||||
\(501\) | −3.19974 | + | 4.52340i | −0.142954 | + | 0.202091i | ||||
\(502\) | 5.10920 | + | 7.03222i | 0.228035 | + | 0.313863i | ||||
\(503\) | 6.59860 | + | 4.79417i | 0.294217 | + | 0.213761i | 0.725095 | − | 0.688649i | \(-0.241796\pi\) |
−0.430878 | + | 0.902410i | \(0.641796\pi\) | |||||||
\(504\) | 12.1143 | + | 21.0296i | 0.539616 | + | 0.936732i | ||||
\(505\) | −3.20625 | −0.142676 | ||||||||
\(506\) | 21.0668 | + | 10.8024i | 0.936535 | + | 0.480224i | ||||
\(507\) | −15.3727 | − | 4.78060i | −0.682726 | − | 0.212314i | ||||
\(508\) | −2.38584 | − | 7.34287i | −0.105855 | − | 0.325787i | ||||
\(509\) | −10.4037 | − | 7.55873i | −0.461136 | − | 0.335035i | 0.332841 | − | 0.942983i | \(-0.391993\pi\) |
−0.793977 | + | 0.607948i | \(0.791993\pi\) | |||||||
\(510\) | −12.3629 | − | 36.4714i | −0.547438 | − | 1.61498i | ||||
\(511\) | 10.1468 | + | 18.6929i | 0.448868 | + | 0.826924i | ||||
\(512\) | −23.4201 | − | 7.60965i | −1.03503 | − | 0.336302i | ||||
\(513\) | 7.99379 | − | 28.2047i | 0.352935 | − | 1.24527i | ||||
\(514\) | −8.13271 | + | 11.1937i | −0.358719 | + | 0.493734i | ||||
\(515\) | −3.20844 | + | 1.04248i | −0.141381 | + | 0.0459373i | ||||
\(516\) | 5.52269 | + | 1.71744i | 0.243123 | + | 0.0756062i | ||||
\(517\) | −19.0601 | + | 2.96864i | −0.838263 | + | 0.130561i | ||||
\(518\) | −20.0501 | + | 21.1238i | −0.880950 | + | 0.928128i | ||||
\(519\) | −0.295663 | − | 23.3522i | −0.0129782 | − | 1.02505i | ||||
\(520\) | −14.8943 | − | 10.8213i | −0.653156 | − | 0.474546i | ||||
\(521\) | 7.99606 | − | 5.80948i | 0.350314 | − | 0.254518i | −0.398687 | − | 0.917087i | \(-0.630534\pi\) |
0.749001 | + | 0.662569i | \(0.230534\pi\) | |||||||
\(522\) | 12.0659 | − | 9.24206i | 0.528112 | − | 0.404514i | ||||
\(523\) | −26.6518 | − | 8.65971i | −1.16540 | − | 0.378663i | −0.338478 | − | 0.940974i | \(-0.609912\pi\) |
−0.826926 | + | 0.562311i | \(0.809912\pi\) | |||||||
\(524\) | −1.82354 | + | 1.32488i | −0.0796617 | + | 0.0578776i | ||||
\(525\) | 2.58857 | − | 21.7705i | 0.112974 | − | 0.950142i | ||||
\(526\) | −3.22209 | − | 9.91656i | −0.140490 | − | 0.432383i | ||||
\(527\) | 23.4637i | 1.02210i | ||||||||
\(528\) | −7.17853 | + | 14.4472i | −0.312406 | + | 0.628735i | ||||
\(529\) | −10.5327 | −0.457942 | ||||||||
\(530\) | −7.46482 | − | 22.9744i | −0.324251 | − | 0.997942i | ||||
\(531\) | −2.27011 | − | 6.42813i | −0.0985142 | − | 0.278957i | ||||
\(532\) | 0.936829 | − | 7.11000i | 0.0406167 | − | 0.308258i | ||||
\(533\) | −5.75287 | − | 1.86922i | −0.249184 | − | 0.0809649i | ||||
\(534\) | 5.07853 | + | 3.59242i | 0.219769 | + | 0.155459i | ||||
\(535\) | −3.74081 | − | 5.14878i | −0.161729 | − | 0.222601i | ||||
\(536\) | 6.66658 | − | 9.17576i | 0.287952 | − | 0.396332i | ||||
\(537\) | 14.1860 | − | 0.179609i | 0.612171 | − | 0.00775070i | ||||
\(538\) | − | 25.3736i | − | 1.09393i | ||||||
\(539\) | 20.1382 | − | 11.5522i | 0.867414 | − | 0.497586i | ||||
\(540\) | −4.82649 | − | 6.13863i | −0.207699 | − | 0.264165i | ||||
\(541\) | 1.43316 | + | 4.41081i | 0.0616163 | + | 0.189635i | 0.977126 | − | 0.212660i | \(-0.0682126\pi\) |
−0.915510 | + | 0.402295i | \(0.868213\pi\) | |||||||
\(542\) | 20.9197 | + | 15.1990i | 0.898577 | + | 0.652854i | ||||
\(543\) | −2.30717 | − | 6.80631i | −0.0990101 | − | 0.292087i | ||||
\(544\) | −14.5518 | − | 4.72817i | −0.623904 | − | 0.202719i | ||||
\(545\) | 8.94017 | − | 27.5150i | 0.382955 | − | 1.17861i | ||||
\(546\) | −9.87248 | − | 4.55771i | −0.422503 | − | 0.195052i | ||||
\(547\) | −15.3131 | − | 11.1256i | −0.654739 | − | 0.475696i | 0.210143 | − | 0.977671i | \(-0.432607\pi\) |
−0.864882 | + | 0.501975i | \(0.832607\pi\) | |||||||
\(548\) | 1.50054 | − | 0.487555i | 0.0640998 | − | 0.0208273i | ||||
\(549\) | 9.27484 | − | 13.4702i | 0.395840 | − | 0.574892i | ||||
\(550\) | 17.4506 | − | 8.83511i | 0.744095 | − | 0.376730i | ||||
\(551\) | −23.1870 | −0.987801 | ||||||||
\(552\) | −0.388254 | − | 30.6653i | −0.0165252 | − | 1.30520i | ||||
\(553\) | −3.45654 | − | 18.6611i | −0.146987 | − | 0.793549i | ||||
\(554\) | −11.8841 | − | 16.3570i | −0.504906 | − | 0.694944i | ||||
\(555\) | 27.9395 | − | 39.4975i | 1.18597 | − | 1.67658i | ||||
\(556\) | 1.35550 | + | 0.440428i | 0.0574860 | + | 0.0186783i | ||||
\(557\) | −19.7648 | − | 27.2039i | −0.837460 | − | 1.15266i | −0.986488 | − | 0.163832i | \(-0.947615\pi\) |
0.149028 | − | 0.988833i | \(-0.452385\pi\) | |||||||
\(558\) | −5.01103 | − | 14.1895i | −0.212134 | − | 0.600688i | ||||
\(559\) | −12.7236 | + | 4.13416i | −0.538153 | + | 0.174856i | ||||
\(560\) | 16.8566 | + | 15.9998i | 0.712323 | + | 0.676115i | ||||
\(561\) | −14.7395 | + | 29.6642i | −0.622303 | + | 1.25242i | ||||
\(562\) | −18.4603 | −0.778700 | ||||||||
\(563\) | 14.2357 | + | 43.8130i | 0.599964 | + | 1.84650i | 0.528279 | + | 0.849071i | \(0.322838\pi\) |
0.0716850 | + | 0.997427i | \(0.477162\pi\) | |||||||
\(564\) | 2.89417 | + | 3.87923i | 0.121866 | + | 0.163345i | ||||
\(565\) | 6.66717 | + | 9.17657i | 0.280490 | + | 0.386061i | ||||
\(566\) | 3.73803 | − | 11.5045i | 0.157121 | − | 0.483570i | ||||
\(567\) | −18.0783 | − | 15.4975i | −0.759219 | − | 0.650836i | ||||
\(568\) | −33.0300 | + | 23.9977i | −1.38591 | + | 1.00692i | ||||
\(569\) | 7.84790 | − | 10.8017i | 0.329001 | − | 0.452831i | −0.612188 | − | 0.790712i | \(-0.709710\pi\) |
0.941189 | + | 0.337882i | \(0.109710\pi\) | |||||||
\(570\) | −0.477014 | − | 37.6759i | −0.0199799 | − | 1.57807i | ||||
\(571\) | 26.4899 | 1.10857 | 0.554284 | − | 0.832328i | \(-0.312992\pi\) | ||||
0.554284 | + | 0.832328i | \(0.312992\pi\) | |||||||
\(572\) | 0.472038 | + | 3.03071i | 0.0197369 | + | 0.126720i | ||||
\(573\) | −3.89394 | + | 12.5215i | −0.162672 | + | 0.523095i | ||||
\(574\) | 9.24997 | + | 4.41323i | 0.386086 | + | 0.184205i | ||||
\(575\) | −16.2840 | + | 22.4129i | −0.679088 | + | 0.934684i | ||||
\(576\) | 26.6542 | − | 0.675046i | 1.11059 | − | 0.0281269i | ||||
\(577\) | 8.97599 | + | 2.91648i | 0.373675 | + | 0.121414i | 0.489833 | − | 0.871816i | \(-0.337058\pi\) |
−0.116158 | + | 0.993231i | \(0.537058\pi\) | |||||||
\(578\) | 19.0499 | + | 6.18968i | 0.792371 | + | 0.257457i | ||||
\(579\) | 24.5261 | − | 8.31375i | 1.01927 | − | 0.345508i | ||||
\(580\) | −3.63037 | + | 4.99678i | −0.150743 | + | 0.207480i | ||||
\(581\) | −7.15171 | + | 14.9897i | −0.296703 | + | 0.621879i | ||||
\(582\) | 21.4402 | + | 6.66747i | 0.888726 | + | 0.276376i | ||||
\(583\) | −9.48075 | + | 18.4894i | −0.392653 | + | 0.765754i | ||||
\(584\) | 24.5805 | 1.01715 | ||||||||
\(585\) | 17.3149 | + | 5.14511i | 0.715885 | + | 0.212724i | ||||
\(586\) | −11.3535 | + | 15.6267i | −0.469007 | + | 0.645533i | ||||
\(587\) | 34.5165 | − | 25.0777i | 1.42465 | − | 1.03507i | 0.433667 | − | 0.901073i | \(-0.357219\pi\) |
0.990982 | − | 0.133995i | \(-0.0427807\pi\) | |||||||
\(588\) | −4.92441 | − | 3.11151i | −0.203079 | − | 0.128317i | ||||
\(589\) | −7.09425 | + | 21.8339i | −0.292314 | + | 0.899649i | ||||
\(590\) | −5.15020 | − | 7.08864i | −0.212030 | − | 0.291835i | ||||
\(591\) | −25.3492 | + | 18.9122i | −1.04273 | + | 0.777944i | ||||
\(592\) | 7.74946 | + | 23.8504i | 0.318501 | + | 0.980244i | ||||
\(593\) | 20.9004 | 0.858275 | 0.429137 | − | 0.903239i | \(-0.358818\pi\) | ||||
0.429137 | + | 0.903239i | \(0.358818\pi\) | |||||||
\(594\) | 2.57835 | − | 21.0870i | 0.105791 | − | 0.865209i | ||||
\(595\) | 34.6113 | + | 32.8520i | 1.41893 | + | 1.34680i | ||||
\(596\) | −1.79343 | + | 0.582721i | −0.0734618 | + | 0.0238692i | ||||
\(597\) | 35.7554 | − | 26.6759i | 1.46337 | − | 1.09177i | ||||
\(598\) | 8.07649 | + | 11.1163i | 0.330272 | + | 0.454581i | ||||
\(599\) | 19.9847 | + | 6.49343i | 0.816554 | + | 0.265315i | 0.687371 | − | 0.726306i | \(-0.258765\pi\) |
0.129183 | + | 0.991621i | \(0.458765\pi\) | |||||||
\(600\) | −20.6850 | − | 14.6320i | −0.844461 | − | 0.597350i | ||||
\(601\) | −25.0526 | − | 34.4819i | −1.02191 | − | 1.40655i | −0.910853 | − | 0.412732i | \(-0.864575\pi\) |
−0.111062 | − | 0.993813i | \(-0.535425\pi\) | |||||||
\(602\) | 22.2883 | − | 4.12840i | 0.908401 | − | 0.168261i | ||||
\(603\) | −3.16969 | + | 10.6670i | −0.129080 | + | 0.434396i | ||||
\(604\) | 7.19580 | 0.292793 | ||||||||
\(605\) | −32.6685 | − | 10.8006i | −1.32816 | − | 0.439105i | ||||
\(606\) | −0.649890 | + | 2.08982i | −0.0264000 | + | 0.0848931i | ||||
\(607\) | −2.68800 | + | 0.873384i | −0.109102 | + | 0.0354495i | −0.363059 | − | 0.931766i | \(-0.618268\pi\) |
0.253957 | + | 0.967216i | \(0.418268\pi\) | |||||||
\(608\) | −12.1114 | − | 8.79947i | −0.491184 | − | 0.356866i | ||||
\(609\) | −7.89415 | + | 17.0996i | −0.319887 | + | 0.692909i | ||||
\(610\) | 6.49557 | − | 19.9913i | 0.262998 | − | 0.809425i | ||||
\(611\) | −10.6476 | − | 3.45962i | −0.430756 | − | 0.139961i | ||||
\(612\) | 8.30832 | − | 0.210417i | 0.335844 | − | 0.00850561i | ||||
\(613\) | 12.6556 | + | 9.19486i | 0.511156 | + | 0.371377i | 0.813262 | − | 0.581898i | \(-0.197690\pi\) |
−0.302106 | + | 0.953274i | \(0.597690\pi\) | |||||||
\(614\) | 1.81887 | + | 5.59792i | 0.0734038 | + | 0.225914i | ||||
\(615\) | −16.2571 | − | 5.05563i | −0.655551 | − | 0.203863i | ||||
\(616\) | −0.630540 | − | 26.8234i | −0.0254052 | − | 1.08074i | ||||
\(617\) | 12.1157i | 0.487761i | 0.969805 | + | 0.243880i | \(0.0784205\pi\) | ||||
−0.969805 | + | 0.243880i | \(0.921580\pi\) | |||||||
\(618\) | 0.0291526 | + | 2.30255i | 0.00117269 | + | 0.0926222i | ||||
\(619\) | 20.0531 | − | 27.6008i | 0.806004 | − | 1.10937i | −0.185924 | − | 0.982564i | \(-0.559528\pi\) |
0.991928 | − | 0.126805i | \(-0.0404722\pi\) | |||||||
\(620\) | 3.59443 | + | 4.94731i | 0.144356 | + | 0.198689i | ||||
\(621\) | 10.3781 | + | 28.2432i | 0.416460 | + | 1.13336i | ||||
\(622\) | −10.8008 | − | 3.50939i | −0.433073 | − | 0.140714i | ||||
\(623\) | −7.64242 | − | 1.00698i | −0.306187 | − | 0.0403438i | ||||
\(624\) | −7.50452 | + | 5.59887i | −0.300421 | + | 0.224134i | ||||
\(625\) | −8.04450 | − | 24.7584i | −0.321780 | − | 0.990337i | ||||
\(626\) | −33.3809 | −1.33417 | ||||||||
\(627\) | −22.6846 | + | 23.1471i | −0.905937 | + | 0.924407i | ||||
\(628\) | − | 5.77651i | − | 0.230508i | ||||||
\(629\) | 15.9118 | + | 48.9715i | 0.634445 | + | 1.95262i | ||||
\(630\) | −27.9469 | − | 12.4752i | −1.11343 | − | 0.497022i | ||||
\(631\) | 35.9036 | − | 26.0855i | 1.42930 | − | 1.03845i | 0.439154 | − | 0.898412i | \(-0.355278\pi\) |
0.990146 | − | 0.140036i | \(-0.0447217\pi\) | |||||||
\(632\) | −20.8596 | − | 6.77771i | −0.829752 | − | 0.269603i | ||||
\(633\) | −3.59039 | + | 5.07566i | −0.142705 | + | 0.201739i | ||||
\(634\) | −0.809732 | + | 0.588304i | −0.0321586 | + | 0.0233646i | ||||
\(635\) | 40.6666 | + | 29.5460i | 1.61380 | + | 1.17250i | ||||
\(636\) | 5.21296 | − | 0.0660013i | 0.206707 | − | 0.00261712i | ||||
\(637\) | 13.4561 | − | 0.702297i | 0.533149 | − | 0.0278260i | ||||
\(638\) | −16.6027 | + | 2.58590i | −0.657307 | + | 0.102377i | ||||
\(639\) | 22.7172 | − | 32.9929i | 0.898678 | − | 1.30518i | ||||
\(640\) | 16.8042 | − | 5.46001i | 0.664244 | − | 0.215826i | ||||
\(641\) | −14.6480 | + | 20.1612i | −0.578561 | + | 0.796321i | −0.993537 | − | 0.113512i | \(-0.963790\pi\) |
0.414976 | + | 0.909832i | \(0.363790\pi\) | |||||||
\(642\) | −4.11420 | + | 1.39461i | −0.162374 | + | 0.0550409i | ||||
\(643\) | 11.9536 | + | 3.88397i | 0.471405 | + | 0.153169i | 0.535079 | − | 0.844802i | \(-0.320282\pi\) |
−0.0636739 | + | 0.997971i | \(0.520282\pi\) | |||||||
\(644\) | 3.51157 | + | 6.46917i | 0.138375 | + | 0.254921i | ||||
\(645\) | −35.6613 | + | 12.0883i | −1.40416 | + | 0.475977i | ||||
\(646\) | 32.4431 | + | 23.5713i | 1.27646 | + | 0.927400i | ||||
\(647\) | −6.82359 | − | 21.0009i | −0.268263 | − | 0.825629i | −0.990924 | − | 0.134426i | \(-0.957081\pi\) |
0.722661 | − | 0.691203i | \(-0.242919\pi\) | |||||||
\(648\) | −25.7080 | + | 9.81771i | −1.00990 | + | 0.385676i | ||||
\(649\) | −1.19812 | + | 7.44086i | −0.0470304 | + | 0.292079i | ||||
\(650\) | 11.3521 | 0.445267 | ||||||||
\(651\) | 13.6864 | + | 12.6652i | 0.536411 | + | 0.496388i | ||||
\(652\) | −4.83980 | − | 3.51632i | −0.189541 | − | 0.137710i | ||||
\(653\) | −2.68737 | − | 3.69885i | −0.105165 | − | 0.144747i | 0.753191 | − | 0.657802i | \(-0.228514\pi\) |
−0.858356 | + | 0.513055i | \(0.828514\pi\) | |||||||
\(654\) | −16.1220 | − | 11.4043i | −0.630422 | − | 0.445944i | ||||
\(655\) | 4.53482 | − | 13.9567i | 0.177190 | − | 0.545335i | ||||
\(656\) | 7.13947 | − | 5.18713i | 0.278750 | − | 0.202523i | ||||
\(657\) | −22.7407 | + | 8.03091i | −0.887198 | + | 0.313315i | ||||
\(658\) | 17.1202 | + | 8.16816i | 0.667413 | + | 0.318428i | ||||
\(659\) | − | 3.09680i | − | 0.120634i | −0.998179 | − | 0.0603171i | \(-0.980789\pi\) | ||
0.998179 | − | 0.0603171i | \(-0.0192112\pi\) | |||||||
\(660\) | 1.43647 | + | 8.51264i | 0.0559144 | + | 0.331354i | ||||
\(661\) | 23.9352i | 0.930970i | 0.885056 | + | 0.465485i | \(0.154120\pi\) | ||||
−0.885056 | + | 0.465485i | \(0.845880\pi\) | |||||||
\(662\) | −26.2528 | + | 8.53004i | −1.02034 | + | 0.331530i | ||||
\(663\) | −15.4089 | + | 11.4960i | −0.598431 | + | 0.446469i | ||||
\(664\) | 11.2820 | + | 15.5283i | 0.437826 | + | 0.602615i | ||||
\(665\) | 22.2743 | + | 41.0347i | 0.863761 | + | 1.59126i | ||||
\(666\) | −20.0811 | − | 26.2168i | −0.778126 | − | 1.01588i | ||||
\(667\) | 19.2540 | − | 13.9888i | 0.745517 | − | 0.541650i | ||||
\(668\) | −1.24338 | − | 0.903370i | −0.0481079 | − | 0.0349524i | ||||
\(669\) | −21.6584 | + | 0.274217i | −0.837361 | + | 0.0106018i | ||||
\(670\) | 14.3027i | 0.552560i | ||||||||
\(671\) | −16.1309 | + | 8.16696i | −0.622726 | + | 0.315282i | ||||
\(672\) | −10.6127 | + | 5.93590i | −0.409393 | + | 0.228982i | ||||
\(673\) | 1.90522 | + | 5.86365i | 0.0734407 | + | 0.226027i | 0.981038 | − | 0.193814i | \(-0.0620858\pi\) |
−0.907598 | + | 0.419841i | \(0.862086\pi\) | |||||||
\(674\) | −17.5320 | + | 24.1307i | −0.675308 | + | 0.929481i | ||||
\(675\) | 23.9173 | + | 6.77865i | 0.920576 | + | 0.260911i | ||||
\(676\) | 1.37994 | − | 4.24702i | 0.0530746 | − | 0.163347i | ||||
\(677\) | −15.3544 | + | 47.2560i | −0.590118 | + | 1.81620i | −0.0124536 | + | 0.999922i | \(0.503964\pi\) |
−0.577665 | + | 0.816274i | \(0.696036\pi\) | |||||||
\(678\) | 7.33265 | − | 2.48559i | 0.281609 | − | 0.0954583i | ||||
\(679\) | −27.3577 | + | 5.06740i | −1.04989 | + | 0.194469i | ||||
\(680\) | 52.4500 | − | 17.0420i | 2.01137 | − | 0.653533i | ||||
\(681\) | −38.6299 | − | 12.0131i | −1.48030 | − | 0.460343i | ||||
\(682\) | −2.64474 | + | 16.4250i | −0.101272 | + | 0.628944i | ||||
\(683\) | 12.4987i | 0.478250i | 0.970989 | + | 0.239125i | \(0.0768606\pi\) | ||||
−0.970989 | + | 0.239125i | \(0.923139\pi\) | |||||||
\(684\) | 7.79482 | + | 2.31622i | 0.298042 | + | 0.0885628i | ||||
\(685\) | −6.03782 | + | 8.31034i | −0.230693 | + | 0.317522i | ||||
\(686\) | −22.7590 | − | 1.79857i | −0.868944 | − | 0.0686698i | ||||
\(687\) | 34.0660 | + | 24.0975i | 1.29970 | + | 0.919375i | ||||
\(688\) | 6.03139 | − | 18.5627i | 0.229945 | − | 0.707697i | ||||
\(689\) | −9.75631 | + | 7.08837i | −0.371686 | + | 0.270045i | ||||
\(690\) | 23.1261 | + | 30.9974i | 0.880395 | + | 1.18005i | ||||
\(691\) | 33.6956 | − | 10.9484i | 1.28184 | − | 0.416496i | 0.412613 | − | 0.910906i | \(-0.364616\pi\) |
0.869228 | + | 0.494411i | \(0.164616\pi\) | |||||||
\(692\) | 6.47805 | 0.246259 | ||||||||
\(693\) | 9.34703 | + | 24.6096i | 0.355064 | + | 0.934842i | ||||
\(694\) | 26.5222 | 1.00677 | ||||||||
\(695\) | −8.82510 | + | 2.86745i | −0.334755 | + | 0.108768i | ||||
\(696\) | 13.0156 | + | 17.4456i | 0.493355 | + | 0.661274i | ||||
\(697\) | 14.6593 | − | 10.6506i | 0.555261 | − | 0.403421i | ||||
\(698\) | 1.09973 | − | 3.38463i | 0.0416255 | − | 0.128110i | ||||
\(699\) | 4.56801 | + | 3.23130i | 0.172778 | + | 0.122219i | ||||
\(700\) | 6.02921 | + | 0.794421i | 0.227883 | + | 0.0300263i | ||||
\(701\) | 10.1240 | − | 13.9345i | 0.382379 | − | 0.526300i | −0.573834 | − | 0.818972i | \(-0.694544\pi\) |
0.956213 | + | 0.292672i | \(0.0945444\pi\) | |||||||
\(702\) | 6.86321 | − | 10.2429i | 0.259035 | − | 0.386594i | ||||
\(703\) | 50.3807i | 1.90014i | ||||||||
\(704\) | −26.2295 | − | 13.4496i | −0.988561 | − | 0.506901i | ||||
\(705\) | −30.0893 | − | 9.35714i | −1.13323 | − | 0.352410i | ||||
\(706\) | −39.1460 | + | 12.7193i | −1.47328 | + | 0.478697i | ||||
\(707\) | −0.493929 | − | 2.66661i | −0.0185761 | − | 0.100288i | ||||
\(708\) | 1.79089 | − | 0.607067i | 0.0673057 | − | 0.0228150i | ||||
\(709\) | −6.38878 | + | 19.6626i | −0.239936 | + | 0.738446i | 0.756493 | + | 0.654002i | \(0.226911\pi\) |
−0.996428 | + | 0.0844436i | \(0.973089\pi\) | |||||||
\(710\) | 15.9098 | − | 48.9654i | 0.597086 | − | 1.83764i | ||||
\(711\) | 21.5127 | − | 0.544832i | 0.806789 | − | 0.0204328i | ||||
\(712\) | −5.23631 | + | 7.20717i | −0.196239 | + | 0.270100i | ||||
\(713\) | −7.28155 | − | 22.4103i | −0.272696 | − | 0.839273i | ||||
\(714\) | 28.4284 | − | 15.9006i | 1.06390 | − | 0.595064i | ||||
\(715\) | −14.0843 | − | 14.1569i | −0.526724 | − | 0.529438i | ||||
\(716\) | 3.93528i | 0.147068i | ||||||||
\(717\) | 4.78095 | − | 0.0605316i | 0.178548 | − | 0.00226059i | ||||
\(718\) | 5.24836 | + | 3.81316i | 0.195867 | + | 0.142306i | ||||
\(719\) | 29.6020 | − | 21.5071i | 1.10397 | − | 0.802081i | 0.122266 | − | 0.992497i | \(-0.460984\pi\) |
0.981703 | + | 0.190417i | \(0.0609839\pi\) | |||||||
\(720\) | −20.9208 | + | 16.0245i | −0.779671 | + | 0.597199i | ||||
\(721\) | −1.36129 | − | 2.50783i | −0.0506971 | − | 0.0933964i | ||||
\(722\) | 9.29599 | + | 12.7948i | 0.345961 | + | 0.476174i | ||||
\(723\) | 22.1288 | − | 16.5095i | 0.822978 | − | 0.613996i | ||||
\(724\) | 1.89591 | − | 0.616019i | 0.0704609 | − | 0.0228941i | ||||
\(725\) | − | 19.6624i | − | 0.730242i | ||||||
\(726\) | −13.6615 | + | 19.1040i | −0.507026 | + | 0.709015i | ||||
\(727\) | − | 32.5843i | − | 1.20848i | −0.796801 | − | 0.604242i | \(-0.793476\pi\) | ||
0.796801 | − | 0.604242i | \(-0.206524\pi\) | |||||||
\(728\) | 6.70549 | − | 14.0545i | 0.248522 | − | 0.520893i | ||||
\(729\) | 20.5761 | − | 17.4821i | 0.762078 | − | 0.647486i | ||||
\(730\) | −25.0773 | + | 18.2198i | −0.928154 | + | 0.674344i | ||||
\(731\) | 12.3841 | − | 38.1144i | 0.458044 | − | 1.40971i | ||||
\(732\) | 3.70354 | + | 2.61979i | 0.136887 | + | 0.0968301i | ||||
\(733\) | −16.7614 | − | 23.0701i | −0.619098 | − | 0.852115i | 0.378189 | − | 0.925728i | \(-0.376547\pi\) |
−0.997287 | + | 0.0736133i | \(0.976547\pi\) | |||||||
\(734\) | 12.1211 | + | 8.80653i | 0.447400 | + | 0.325055i | ||||
\(735\) | 37.8450 | − | 2.45598i | 1.39593 | − | 0.0905900i | ||||
\(736\) | 15.3658 | 0.566391 | ||||||||
\(737\) | 8.72149 | − | 8.67679i | 0.321260 | − | 0.319614i | ||||
\(738\) | −6.59048 | + | 9.57158i | −0.242599 | + | 0.352335i | ||||
\(739\) | −5.41889 | − | 16.6776i | −0.199337 | − | 0.613496i | −0.999899 | − | 0.0142458i | \(-0.995465\pi\) |
0.800561 | − | 0.599251i | \(-0.204535\pi\) | |||||||
\(740\) | 10.8570 | + | 7.88805i | 0.399110 | + | 0.289971i | ||||
\(741\) | −17.8143 | + | 6.03862i | −0.654426 | + | 0.221834i | ||||
\(742\) | 17.9576 | − | 9.74767i | 0.659244 | − | 0.357848i | ||||
\(743\) | −6.36882 | − | 2.06935i | −0.233649 | − | 0.0759172i | 0.189852 | − | 0.981813i | \(-0.439199\pi\) |
−0.423501 | + | 0.905895i | \(0.639199\pi\) | |||||||
\(744\) | 20.4097 | − | 6.91839i | 0.748257 | − | 0.253641i | ||||
\(745\) | 7.21635 | − | 9.93245i | 0.264387 | − | 0.363897i | ||||
\(746\) | −1.89498 | + | 0.615717i | −0.0693802 | + | 0.0225430i | ||||
\(747\) | −15.5109 | − | 10.6800i | −0.567514 | − | 0.390760i | ||||
\(748\) | −8.17595 | − | 4.19235i | −0.298942 | − | 0.153288i | ||||
\(749\) | 3.70591 | − | 3.90438i | 0.135411 | − | 0.142663i | ||||
\(750\) | −1.44127 | + | 0.0182480i | −0.0526278 | + | 0.000666321i | ||||
\(751\) | −6.35762 | − | 4.61908i | −0.231993 | − | 0.168553i | 0.465716 | − | 0.884934i | \(-0.345797\pi\) |
−0.697709 | + | 0.716382i | \(0.745797\pi\) | |||||||
\(752\) | 13.2140 | − | 9.60052i | 0.481864 | − | 0.350095i | ||||
\(753\) | 7.05319 | − | 9.97094i | 0.257033 | − | 0.363361i | ||||
\(754\) | −9.27480 | − | 3.01357i | −0.337768 | − | 0.109748i | ||||
\(755\) | −37.9015 | + | 27.5371i | −1.37938 | + | 1.00218i | ||||
\(756\) | 4.36191 | − | 4.95981i | 0.158641 | − | 0.180387i | ||||
\(757\) | 13.7778 | + | 42.4038i | 0.500764 | + | 1.54119i | 0.807777 | + | 0.589488i | \(0.200670\pi\) |
−0.307014 | + | 0.951705i | \(0.599330\pi\) | |||||||
\(758\) | 11.8128i | 0.429061i | ||||||||
\(759\) | 4.87203 | − | 32.9066i | 0.176844 | − | 1.19443i | ||||
\(760\) | 53.9593 | 1.95731 | ||||||||
\(761\) | 1.62328 | + | 4.99596i | 0.0588440 | + | 0.181103i | 0.976158 | − | 0.217062i | \(-0.0696472\pi\) |
−0.917314 | + | 0.398165i | \(0.869647\pi\) | |||||||
\(762\) | 27.5008 | − | 20.5175i | 0.996251 | − | 0.743269i | ||||
\(763\) | 24.2612 | + | 3.19671i | 0.878316 | + | 0.115729i | ||||
\(764\) | −3.45932 | − | 1.12400i | −0.125154 | − | 0.0406649i | ||||
\(765\) | −42.9562 | + | 32.9028i | −1.55308 | + | 1.18960i | ||||
\(766\) | 8.52421 | + | 11.7326i | 0.307992 | + | 0.423915i | ||||
\(767\) | −2.57108 | + | 3.53878i | −0.0928362 | + | 0.127778i | ||||
\(768\) | 0.237082 | + | 18.7254i | 0.00855496 | + | 0.675693i | ||||
\(769\) | − | 20.4914i | − | 0.738937i | −0.929243 | − | 0.369468i | \(-0.879540\pi\) | ||
0.929243 | − | 0.369468i | \(-0.120460\pi\) | |||||||
\(770\) | 20.5255 | + | 26.8981i | 0.739688 | + | 0.969342i | ||||
\(771\) | 18.5641 | + | 5.77304i | 0.668569 | + | 0.207911i | ||||
\(772\) | 2.21979 | + | 6.83181i | 0.0798919 | + | 0.245882i | ||||
\(773\) | −14.4866 | − | 10.5251i | −0.521046 | − | 0.378562i | 0.295952 | − | 0.955203i | \(-0.404363\pi\) |
−0.816998 | + | 0.576641i | \(0.804363\pi\) | |||||||
\(774\) | 0.650732 | + | 25.6941i | 0.0233901 | + | 0.923557i | ||||
\(775\) | −18.5149 | − | 6.01585i | −0.665074 | − | 0.216096i | ||||
\(776\) | −9.93633 | + | 30.5809i | −0.356694 | + | 1.09779i | ||||
\(777\) | 37.1538 | + | 17.1524i | 1.33289 | + | 0.615337i | ||||
\(778\) | −19.4468 | − | 14.1289i | −0.697202 | − | 0.506547i | ||||
\(779\) | 16.8612 | − | 5.47855i | 0.604117 | − | 0.196289i | ||||
\(780\) | −1.48786 | + | 4.78443i | −0.0532739 | + | 0.171310i | ||||
\(781\) | −39.5100 | + | 20.0036i | −1.41378 | + | 0.715786i | ||||
\(782\) | −41.1606 | −1.47190 | ||||||||
\(783\) | −17.7412 | − | 11.8874i | −0.634018 | − | 0.424820i | ||||
\(784\) | −10.7101 | + | 16.4843i | −0.382503 | + | 0.588725i | ||||
\(785\) | 22.1057 | + | 30.4259i | 0.788987 | + | 1.08595i | ||||
\(786\) | −8.17776 | − | 5.78474i | −0.291691 | − | 0.206335i | ||||
\(787\) | −27.7323 | − | 9.01078i | −0.988551 | − | 0.321200i | −0.230270 | − | 0.973127i | \(-0.573961\pi\) |
−0.758282 | + | 0.651927i | \(0.773961\pi\) | |||||||
\(788\) | −5.15650 | − | 7.09732i | −0.183693 | − | 0.252831i | ||||
\(789\) | −11.7427 | + | 8.76080i | −0.418050 | + | 0.311893i | ||||
\(790\) | 26.3051 | − | 8.54704i | 0.935893 | − | 0.304090i | ||||
\(791\) | −6.60497 | + | 6.95869i | −0.234846 | + | 0.247422i | ||||
\(792\) | 30.1492 | + | 4.07443i | 1.07130 | + | 0.144778i | ||||
\(793\) | −10.4936 | −0.372640 | ||||||||
\(794\) | 3.93731 | + | 12.1178i | 0.139730 | + | 0.430044i | ||||
\(795\) | −27.2050 | + | 20.2967i | −0.964862 | + | 0.719851i | ||||
\(796\) | 7.27331 | + | 10.0109i | 0.257796 | + | 0.354825i | ||||
\(797\) | 6.06662 | − | 18.6711i | 0.214891 | − | 0.661366i | −0.784271 | − | 0.620419i | \(-0.786963\pi\) |
0.999161 | − | 0.0409467i | \(-0.0130374\pi\) | |||||||
\(798\) | 31.2612 | − | 6.20077i | 1.10663 | − | 0.219505i | ||||
\(799\) | 27.1320 | − | 19.7125i | 0.959860 | − | 0.697379i | ||||
\(800\) | 7.46186 | − | 10.2704i | 0.263817 | − | 0.363112i | ||||
\(801\) | 2.48966 | − | 8.37851i | 0.0879678 | − | 0.296040i | ||||
\(802\) | −43.9893 | −1.55332 | ||||||||
\(803\) | 26.3234 | + | 4.23857i | 0.928931 | + | 0.149576i | ||||
\(804\) | −2.94750 | − | 0.916611i | −0.103950 | − | 0.0323264i | ||||
\(805\) | −43.2525 | − | 20.6361i | −1.52445 | − | 0.727327i | ||||
\(806\) | −5.67540 | + | 7.81151i | −0.199907 | + | 0.275149i | ||||
\(807\) | −33.7649 | + | 11.4455i | −1.18858 | + | 0.402899i | ||||
\(808\) | −2.98077 | − | 0.968512i | −0.104863 | − | 0.0340721i | ||||
\(809\) | 15.1424 | + | 4.92008i | 0.532380 | + | 0.172981i | 0.562856 | − | 0.826555i | \(-0.309702\pi\) |
−0.0304764 | + | 0.999535i | \(0.509702\pi\) | |||||||
\(810\) | 18.9504 | − | 29.0716i | 0.665850 | − | 1.02147i | ||||
\(811\) | 23.1351 | − | 31.8428i | 0.812384 | − | 1.11815i | −0.178567 | − | 0.983928i | \(-0.557146\pi\) |
0.990951 | − | 0.134223i | \(-0.0428539\pi\) | |||||||
\(812\) | −4.71504 | − | 2.24958i | −0.165465 | − | 0.0789449i | ||||
\(813\) | 10.7891 | − | 34.6940i | 0.378390 | − | 1.21677i | ||||
\(814\) | 5.61862 | + | 36.0742i | 0.196933 | + | 1.26440i | ||||
\(815\) | 38.9484 | 1.36430 | ||||||||
\(816\) | −0.355079 | − | 28.0451i | −0.0124303 | − | 0.981775i | ||||
\(817\) | 23.0478 | − | 31.7225i | 0.806340 | − | 1.10983i | ||||
\(818\) | −10.4871 | + | 7.61931i | −0.366672 | + | 0.266403i | ||||
\(819\) | −1.61173 | + | 15.1933i | −0.0563185 | + | 0.530896i | ||||
\(820\) | 1.45933 | − | 4.49135i | 0.0509620 | − | 0.156845i | ||||
\(821\) | 14.6595 | + | 20.1770i | 0.511619 | + | 0.704183i | 0.984191 | − | 0.177109i | \(-0.0566744\pi\) |
−0.472572 | + | 0.881292i | \(0.656674\pi\) | |||||||
\(822\) | 4.19281 | + | 5.61989i | 0.146241 | + | 0.196016i | ||||
\(823\) | −1.62188 | − | 4.99164i | −0.0565352 | − | 0.173998i | 0.918801 | − | 0.394720i | \(-0.129158\pi\) |
−0.975337 | + | 0.220723i | \(0.929158\pi\) | |||||||
\(824\) | −3.29771 | −0.114881 | ||||||||
\(825\) | −19.6285 | − | 19.2363i | −0.683377 | − | 0.669723i | ||||
\(826\) | 5.10216 | − | 5.37539i | 0.177527 | − | 0.187034i | ||||
\(827\) | −21.3099 | + | 6.92399i | −0.741016 | + | 0.240771i | −0.655111 | − | 0.755533i | \(-0.727378\pi\) |
−0.0859052 | + | 0.996303i | \(0.527378\pi\) | |||||||
\(828\) | −7.87002 | + | 2.77931i | −0.273502 | + | 0.0965877i | ||||
\(829\) | −7.27790 | − | 10.0172i | −0.252772 | − | 0.347911i | 0.663708 | − | 0.747992i | \(-0.268982\pi\) |
−0.916480 | + | 0.400081i | \(0.868982\pi\) | |||||||
\(830\) | −23.0200 | − | 7.47966i | −0.799036 | − | 0.259623i | ||||
\(831\) | −16.4058 | + | 23.1926i | −0.569112 | + | 0.804541i | ||||
\(832\) | −10.0557 | − | 13.8405i | −0.348619 | − | 0.479833i | ||||
\(833\) | −21.9908 | + | 33.8468i | −0.761935 | + | 1.17272i | ||||
\(834\) | 0.0801869 | + | 6.33338i | 0.00277665 | + | 0.219307i | ||||
\(835\) | 10.0062 | 0.346277 | ||||||||
\(836\) | −6.34046 | − | 6.37313i | −0.219290 | − | 0.220419i | ||||
\(837\) | −16.6217 | + | 13.0688i | −0.574530 | + | 0.451723i | ||||
\(838\) | 39.1651 | − | 12.7255i | 1.35293 | − | 0.439595i | ||||
\(839\) | 1.79187 | + | 1.30187i | 0.0618624 | + | 0.0449457i | 0.618287 | − | 0.785953i | \(-0.287827\pi\) |
−0.556424 | + | 0.830898i | \(0.687827\pi\) | |||||||
\(840\) | 18.3707 | − | 39.7930i | 0.633851 | − | 1.37299i | ||||
\(841\) | 3.74186 | − | 11.5163i | 0.129030 | − | 0.397113i | ||||
\(842\) | −14.1476 | − | 4.59682i | −0.487557 | − | 0.158417i | ||||
\(843\) | 8.32702 | + | 24.5653i | 0.286798 | + | 0.846073i | ||||
\(844\) | −1.39518 | − | 1.01366i | −0.0480242 | − | 0.0348916i | ||||
\(845\) | 8.98421 | + | 27.6506i | 0.309066 | + | 0.951209i | ||||
\(846\) | −12.1979 | + | 17.7154i | −0.419372 | + | 0.609068i | ||||
\(847\) | 3.95007 | − | 28.8340i | 0.135726 | − | 0.990746i | ||||
\(848\) | − | 17.5937i | − | 0.604172i | ||||||
\(849\) | −16.9953 | + | 0.215177i | −0.583276 | + | 0.00738487i | ||||
\(850\) | −19.9882 | + | 27.5114i | −0.685590 | + | 0.943633i | ||||
\(851\) | −30.3948 | − | 41.8349i | −1.04192 | − | 1.43408i | ||||
\(852\) | 9.07120 | + | 6.41674i | 0.310774 | + | 0.219834i | ||||
\(853\) | −49.8461 | − | 16.1960i | −1.70670 | − | 0.554540i | −0.716921 | − | 0.697154i | \(-0.754449\pi\) |
−0.989778 | + | 0.142614i | \(0.954449\pi\) | |||||||
\(854\) | 17.6272 | + | 2.32260i | 0.603192 | + | 0.0794778i | ||||
\(855\) | −49.9205 | + | 17.6295i | −1.70724 | + | 0.602916i | ||||
\(856\) | −1.92245 | − | 5.91669i | −0.0657080 | − | 0.202228i | ||||
\(857\) | 2.43184 | 0.0830702 | 0.0415351 | − | 0.999137i | \(-0.486775\pi\) | ||||
0.0415351 | + | 0.999137i | \(0.486775\pi\) | |||||||
\(858\) | −12.0822 | + | 6.31057i | −0.412480 | + | 0.215439i | ||||
\(859\) | − | 7.77125i | − | 0.265152i | −0.991173 | − | 0.132576i | \(-0.957675\pi\) | ||
0.991173 | − | 0.132576i | \(-0.0423248\pi\) | |||||||
\(860\) | −3.22760 | − | 9.93354i | −0.110060 | − | 0.338731i | ||||
\(861\) | 1.70028 | − | 14.2997i | 0.0579453 | − | 0.487334i | ||||
\(862\) | −27.0525 | + | 19.6548i | −0.921411 | + | 0.669444i | ||||
\(863\) | −34.3219 | − | 11.1519i | −1.16833 | − | 0.379614i | −0.340312 | − | 0.940313i | \(-0.610533\pi\) |
−0.828020 | + | 0.560699i | \(0.810533\pi\) | |||||||
\(864\) | −4.75561 | − | 12.9420i | −0.161789 | − | 0.440295i | ||||
\(865\) | −34.1211 | + | 24.7904i | −1.16015 | + | 0.842899i | ||||
\(866\) | −24.0664 | − | 17.4853i | −0.817811 | − | 0.594174i | ||||
\(867\) | −0.356305 | − | 28.1419i | −0.0121007 | − | 0.955749i | ||||
\(868\) | −3.56090 | + | 3.75160i | −0.120865 | + | 0.127338i | ||||
\(869\) | −21.1699 | − | 10.8552i | −0.718141 | − | 0.368238i | ||||
\(870\) | −26.2098 | − | 8.15072i | −0.888597 | − | 0.276335i | ||||
\(871\) | 6.79069 | − | 2.20643i | 0.230094 | − | 0.0747620i | ||||
\(872\) | 16.6229 | − | 22.8795i | 0.562924 | − | 0.774798i | ||||
\(873\) | −0.798741 | − | 31.5383i | −0.0270333 | − | 1.06741i | ||||
\(874\) | −38.3015 | − | 12.4449i | −1.29557 | − | 0.420955i | ||||
\(875\) | 1.56977 | − | 0.852094i | 0.0530677 | − | 0.0288060i | ||||
\(876\) | −2.14761 | − | 6.33559i | −0.0725609 | − | 0.214060i | ||||
\(877\) | 1.66592 | + | 1.21036i | 0.0562540 | + | 0.0408709i | 0.615557 | − | 0.788092i | \(-0.288931\pi\) |
−0.559303 | + | 0.828963i | \(0.688931\pi\) | |||||||
\(878\) | −9.96208 | − | 30.6601i | −0.336204 | − | 1.03473i | ||||
\(879\) | 25.9159 | + | 8.05931i | 0.874122 | + | 0.271834i | ||||
\(880\) | 28.7869 | − | 4.48361i | 0.970407 | − | 0.151143i | ||||
\(881\) | 22.2425 | 0.749368 | 0.374684 | − | 0.927153i | \(-0.377751\pi\) | ||||
0.374684 | + | 0.927153i | \(0.377751\pi\) | |||||||
\(882\) | 6.07019 | − | 25.1650i | 0.204394 | − | 0.847350i | ||||
\(883\) | 16.1682 | + | 11.7469i | 0.544104 | + | 0.395315i | 0.825607 | − | 0.564246i | \(-0.190833\pi\) |
−0.281503 | + | 0.959560i | \(0.590833\pi\) | |||||||
\(884\) | −3.13445 | − | 4.31420i | −0.105423 | − | 0.145102i | ||||
\(885\) | −7.10979 | + | 10.0510i | −0.238993 | + | 0.337859i | ||||
\(886\) | −3.92746 | + | 12.0875i | −0.131946 | + | 0.406087i | ||||
\(887\) | −17.7763 | + | 12.9152i | −0.596869 | + | 0.433651i | −0.844766 | − | 0.535135i | \(-0.820261\pi\) |
0.247897 | + | 0.968786i | \(0.420261\pi\) | |||||||
\(888\) | 37.9057 | − | 28.2802i | 1.27203 | − | 0.949021i | ||||
\(889\) | −18.3083 | + | 38.3736i | −0.614042 | + | 1.28701i | ||||
\(890\) | − | 11.2341i | − | 0.376569i | ||||||
\(891\) | −29.2237 | + | 6.08083i | −0.979030 | + | 0.203716i | ||||
\(892\) | − | 6.00816i | − | 0.201168i | ||||||
\(893\) | 31.2074 | − | 10.1399i | 1.04431 | − | 0.339318i | ||||
\(894\) | −5.01121 | − | 6.71684i | −0.167600 | − | 0.224645i | ||||
\(895\) | −15.0596 | − | 20.7278i | −0.503388 | − | 0.692855i | ||||
\(896\) | 7.12976 | + | 13.1348i | 0.238189 | + | 0.438802i | ||||
\(897\) | 11.1495 | − | 15.7618i | 0.372271 | − | 0.526271i | ||||
\(898\) | 21.3313 | − | 15.4981i | 0.711834 | − | 0.517178i | ||||
\(899\) | 13.5299 | + | 9.83003i | 0.451247 | + | 0.327850i | ||||
\(900\) | −1.96413 | + | 6.60992i | −0.0654709 | + | 0.220331i | ||||
\(901\) | − | 36.1248i | − | 1.20349i | ||||||
\(902\) | 11.4622 | − | 5.80325i | 0.381651 | − | 0.193227i | ||||
\(903\) | −15.5474 | − | 27.7970i | −0.517386 | − | 0.925025i | ||||
\(904\) | 3.42634 | + | 10.5452i | 0.113958 | + | 0.350728i | ||||
\(905\) | −7.62870 | + | 10.5000i | −0.253586 | + | 0.349032i | ||||
\(906\) | 10.2661 | + | 30.2857i | 0.341068 | + | 1.00617i | ||||
\(907\) | −3.44050 | + | 10.5888i | −0.114240 | + | 0.351594i | −0.991788 | − | 0.127895i | \(-0.959178\pi\) |
0.877548 | + | 0.479489i | \(0.159178\pi\) | |||||||
\(908\) | 3.46763 | − | 10.6723i | 0.115077 | − | 0.354172i | ||||
\(909\) | 3.07409 | − | 0.0778547i | 0.101961 | − | 0.00258228i | ||||
\(910\) | 3.57653 | + | 19.3088i | 0.118561 | + | 0.640081i | ||||
\(911\) | 56.4618 | − | 18.3456i | 1.87066 | − | 0.607816i | 0.879372 | − | 0.476135i | \(-0.157963\pi\) |
0.991292 | − | 0.131681i | \(-0.0420374\pi\) | |||||||
\(912\) | 8.14901 | − | 26.2044i | 0.269841 | − | 0.867713i | ||||
\(913\) | 9.40426 | + | 18.5747i | 0.311236 | + | 0.614734i | ||||
\(914\) | − | 16.3998i | − | 0.542458i | ||||||
\(915\) | −29.5327 | + | 0.373913i | −0.976319 | + | 0.0123612i | ||||
\(916\) | −6.80334 | + | 9.36399i | −0.224789 | + | 0.309395i | ||||
\(917\) | 12.3063 | + | 1.62150i | 0.406389 | + | 0.0535467i | ||||
\(918\) | 12.7389 | + | 34.6679i | 0.420447 | + | 1.14421i | ||||
\(919\) | 10.1870 | − | 31.3523i | 0.336037 | − | 1.03422i | −0.630172 | − | 0.776456i | \(-0.717016\pi\) |
0.966209 | − | 0.257760i | \(-0.0829844\pi\) | |||||||
\(920\) | −44.8066 | + | 32.5539i | −1.47723 | + | 1.07327i | ||||
\(921\) | 6.62875 | − | 4.94549i | 0.218425 | − | 0.162959i | ||||
\(922\) | 2.22118 | − | 0.721705i | 0.0731507 | − | 0.0237681i | ||||
\(923\) | −25.7024 | −0.846006 | ||||||||
\(924\) | −6.85859 | + | 2.50609i | −0.225631 | + | 0.0824442i | ||||
\(925\) | −42.7223 | −1.40470 | ||||||||
\(926\) | 6.54426 | − | 2.12636i | 0.215058 | − | 0.0698764i | ||||
\(927\) | 3.05088 | − | 1.07742i | 0.100204 | − | 0.0353872i | ||||
\(928\) | −8.82282 | + | 6.41016i | −0.289623 | + | 0.210424i | ||||
\(929\) | 2.81397 | − | 8.66050i | 0.0923233 | − | 0.284142i | −0.894224 | − | 0.447621i | \(-0.852272\pi\) |
0.986547 | + | 0.163479i | \(0.0522715\pi\) | |||||||
\(930\) | −15.6942 | + | 22.1865i | −0.514631 | + | 0.727523i | ||||
\(931\) | −30.6968 | + | 24.8468i | −1.00605 | + | 0.814322i | ||||
\(932\) | −0.912279 | + | 1.25564i | −0.0298827 | + | 0.0411300i | ||||
\(933\) | 0.202016 | + | 15.9557i | 0.00661370 | + | 0.522367i | ||||
\(934\) | − | 36.1043i | − | 1.18137i | ||||||
\(935\) | 59.1076 | − | 9.20610i | 1.93302 | − | 0.301072i | ||||
\(936\) | 14.5431 | + | 10.0136i | 0.475356 | + | 0.327305i | ||||
\(937\) | 13.9446 | − | 4.53088i | 0.455551 | − | 0.148018i | −0.0722481 | − | 0.997387i | \(-0.523017\pi\) |
0.527799 | + | 0.849369i | \(0.323017\pi\) | |||||||
\(938\) | −11.8954 | + | 2.20336i | −0.388398 | + | 0.0719421i | ||||
\(939\) | 15.0574 | + | 44.4203i | 0.491379 | + | 1.44960i | ||||
\(940\) | 2.70097 | − | 8.31275i | 0.0880961 | − | 0.271132i | ||||
\(941\) | 10.2176 | − | 31.4465i | 0.333084 | − | 1.02513i | −0.634575 | − | 0.772862i | \(-0.718825\pi\) |
0.967658 | − | 0.252265i | \(-0.0811753\pi\) | |||||||
\(942\) | 24.3122 | − | 8.24123i | 0.792134 | − | 0.268514i | ||||
\(943\) | −10.6960 | + | 14.7217i | −0.348308 | + | 0.479405i | ||||
\(944\) | −1.97201 | − | 6.06922i | −0.0641834 | − | 0.197536i | ||||
\(945\) | −3.99459 | + | 42.8165i | −0.129944 | + | 1.39282i | ||||
\(946\) | 12.9652 | − | 25.2848i | 0.421534 | − | 0.822079i | ||||
\(947\) | 59.6811i | 1.93938i | 0.244347 | + | 0.969688i | \(0.421426\pi\) | ||||
−0.244347 | + | 0.969688i | \(0.578574\pi\) | |||||||
\(948\) | 0.0755698 | + | 5.96871i | 0.00245439 | + | 0.193855i | ||||
\(949\) | 12.5191 | + | 9.09564i | 0.406386 | + | 0.295257i | ||||
\(950\) | −26.9178 | + | 19.5569i | −0.873329 | + | 0.634511i | ||||
\(951\) | 1.14811 | + | 0.812147i | 0.0372302 | + | 0.0263357i | ||||
\(952\) | 22.2537 | + | 40.9968i | 0.721248 | + | 1.32871i | ||||
\(953\) | −18.2905 | − | 25.1747i | −0.592486 | − | 0.815487i | 0.402508 | − | 0.915416i | \(-0.368138\pi\) |
−0.994995 | + | 0.0999290i | \(0.968138\pi\) | |||||||
\(954\) | 7.71501 | + | 21.8461i | 0.249783 | + | 0.707295i | ||||
\(955\) | 22.5222 | − | 7.31791i | 0.728801 | − | 0.236802i | ||||
\(956\) | 1.32626i | 0.0428944i | ||||||||
\(957\) | 10.9302 | + | 20.9269i | 0.353323 | + | 0.676472i | ||||
\(958\) | 17.7561i | 0.573672i | ||||||||
\(959\) | −7.84177 | − | 3.74137i | −0.253224 | − | 0.120815i | ||||
\(960\) | −28.7934 | − | 38.5936i | −0.929303 | − | 1.24560i | ||||
\(961\) | −11.6836 | + | 8.48863i | −0.376890 | + | 0.273827i | ||||
\(962\) | −6.54786 | + | 20.1522i | −0.211111 | + | 0.649734i | ||||
\(963\) | 3.71164 | + | 4.84572i | 0.119606 | + | 0.156151i | ||||
\(964\) | 4.50140 | + | 6.19565i | 0.144980 | + | 0.199548i | ||||
\(965\) | −37.8362 | − | 27.4896i | −1.21799 | − | 0.884921i | ||||
\(966\) | −22.2176 | + | 24.0090i | −0.714839 | + | 0.772475i | ||||
\(967\) | −35.2253 | −1.13277 | −0.566385 | − | 0.824141i | \(-0.691658\pi\) | ||||
−0.566385 | + | 0.824141i | \(0.691658\pi\) | |||||||
\(968\) | −27.1086 | − | 19.9092i | −0.871305 | − | 0.639907i | ||||
\(969\) | 16.7322 | − | 53.8048i | 0.537515 | − | 1.72846i | ||||
\(970\) | −12.5302 | − | 38.5641i | −0.402321 | − | 1.23822i | ||||
\(971\) | −45.5422 | − | 33.0883i | −1.46152 | − | 1.06185i | −0.982964 | − | 0.183796i | \(-0.941161\pi\) |
−0.478553 | − | 0.878059i | \(-0.658839\pi\) | |||||||
\(972\) | 4.77661 | + | 5.76841i | 0.153210 | + | 0.185022i | ||||
\(973\) | −3.74435 | − | 6.89801i | −0.120038 | − | 0.221140i | ||||
\(974\) | 31.7135 | + | 10.3043i | 1.01616 | + | 0.330172i | ||||
\(975\) | −5.12069 | − | 15.1064i | −0.163993 | − | 0.483791i | ||||
\(976\) | 8.99860 | − | 12.3855i | 0.288038 | − | 0.396451i | ||||
\(977\) | −5.42072 | + | 1.76130i | −0.173424 | + | 0.0563490i | −0.394442 | − | 0.918921i | \(-0.629062\pi\) |
0.221018 | + | 0.975270i | \(0.429062\pi\) | |||||||
\(978\) | 7.89465 | − | 25.3864i | 0.252443 | − | 0.811768i | ||||
\(979\) | −6.85036 | + | 6.81525i | −0.218939 | + | 0.217816i | ||||
\(980\) | 0.548294 | + | 10.5054i | 0.0175146 | + | 0.335582i | ||||
\(981\) | −7.90355 | + | 26.5980i | −0.252341 | + | 0.849209i | ||||
\(982\) | −21.2163 | − | 15.4146i | −0.677040 | − | 0.491898i | ||||
\(983\) | −28.4046 | + | 20.6371i | −0.905965 | + | 0.658222i | −0.939991 | − | 0.341199i | \(-0.889167\pi\) |
0.0340265 | + | 0.999421i | \(0.489167\pi\) | |||||||
\(984\) | −13.5867 | − | 9.61090i | −0.433129 | − | 0.306384i | ||||
\(985\) | 54.3204 | + | 17.6498i | 1.73079 | + | 0.562369i | ||||
\(986\) | 23.6338 | − | 17.1710i | 0.752655 | − | 0.546836i | ||||
\(987\) | 3.14693 | − | 26.4664i | 0.100168 | − | 0.842436i | ||||
\(988\) | −1.61232 | − | 4.96222i | −0.0512948 | − | 0.157869i | ||||
\(989\) | 40.2465i | 1.27976i | ||||||||
\(990\) | −33.7786 | + | 18.1906i | −1.07356 | + | 0.578136i | ||||
\(991\) | −52.8169 | −1.67778 | −0.838892 | − | 0.544298i | \(-0.816796\pi\) | ||||
−0.838892 | + | 0.544298i | \(0.816796\pi\) | |||||||
\(992\) | 3.33665 | + | 10.2692i | 0.105939 | + | 0.326046i | ||||
\(993\) | 23.1930 | + | 31.0871i | 0.736009 | + | 0.986520i | ||||
\(994\) | 43.1750 | + | 5.68883i | 1.36943 | + | 0.180439i | ||||
\(995\) | −76.6197 | − | 24.8952i | −2.42901 | − | 0.789232i | ||||
\(996\) | 3.01669 | − | 4.26462i | 0.0955874 | − | 0.135130i | ||||
\(997\) | 35.3849 | + | 48.7031i | 1.12065 | + | 1.54244i | 0.804715 | + | 0.593662i | \(0.202318\pi\) |
0.315936 | + | 0.948781i | \(0.397682\pi\) | |||||||
\(998\) | 27.6763 | − | 38.0931i | 0.876077 | − | 1.20582i | ||||
\(999\) | −25.8288 | + | 38.5479i | −0.817188 | + | 1.21960i |
(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 | 231.2.u.a.104.10 | yes | 112 | |
3.2 | odd | 2 | inner | 231.2.u.a.104.19 | yes | 112 | |
7.6 | odd | 2 | inner | 231.2.u.a.104.9 | yes | 112 | |
11.9 | even | 5 | inner | 231.2.u.a.20.20 | yes | 112 | |
21.20 | even | 2 | inner | 231.2.u.a.104.20 | yes | 112 | |
33.20 | odd | 10 | inner | 231.2.u.a.20.9 | ✓ | 112 | |
77.20 | odd | 10 | inner | 231.2.u.a.20.19 | yes | 112 | |
231.20 | even | 10 | inner | 231.2.u.a.20.10 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.u.a.20.9 | ✓ | 112 | 33.20 | odd | 10 | inner | |
231.2.u.a.20.10 | yes | 112 | 231.20 | even | 10 | inner | |
231.2.u.a.20.19 | yes | 112 | 77.20 | odd | 10 | inner | |
231.2.u.a.20.20 | yes | 112 | 11.9 | even | 5 | inner | |
231.2.u.a.104.9 | yes | 112 | 7.6 | odd | 2 | inner | |
231.2.u.a.104.10 | yes | 112 | 1.1 | even | 1 | trivial | |
231.2.u.a.104.19 | yes | 112 | 3.2 | odd | 2 | inner | |
231.2.u.a.104.20 | yes | 112 | 21.20 | even | 2 | inner |