Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [945,2,Mod(2,945)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(945, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("945.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 945 = 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 945.do (of order \(36\), degree \(12\), 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: | \(7.54586299101\) |
Analytic rank: | \(0\) |
Dimension: | \(1680\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 473.19 | ||
Character | \(\chi\) | \(=\) | 945.473 |
Dual form | 945.2.do.a.2.19 |
$q$-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 \(\left(\mathbb{Z}/945\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(596\) | \(757\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.19767 | − | 0.192271i | −1.55399 | − | 0.135956i | −0.722449 | − | 0.691425i | \(-0.756983\pi\) |
−0.831538 | + | 0.555468i | \(0.812539\pi\) | |||||||
\(3\) | 0.295033 | − | 1.70674i | 0.170337 | − | 0.985386i | ||||
\(4\) | 2.82316 | + | 0.497800i | 1.41158 | + | 0.248900i | ||||
\(5\) | 0.351401 | + | 2.20828i | 0.157151 | + | 0.987575i | ||||
\(6\) | −0.976541 | + | 3.69412i | −0.398671 | + | 1.50812i | ||||
\(7\) | −0.166853 | − | 2.64048i | −0.0630644 | − | 0.998009i | ||||
\(8\) | −1.84688 | − | 0.494869i | −0.652970 | − | 0.174963i | ||||
\(9\) | −2.82591 | − | 1.00709i | −0.941970 | − | 0.335696i | ||||
\(10\) | −0.347674 | − | 4.92064i | −0.109944 | − | 1.55604i | ||||
\(11\) | −4.18808 | + | 0.738472i | −1.26275 | + | 0.222658i | −0.764643 | − | 0.644455i | \(-0.777084\pi\) |
−0.498112 | + | 0.867112i | \(0.665973\pi\) | |||||||
\(12\) | 1.68254 | − | 4.67153i | 0.485708 | − | 1.34856i | ||||
\(13\) | 0.104503 | − | 0.0731741i | 0.0289840 | − | 0.0202948i | −0.558995 | − | 0.829171i | \(-0.688813\pi\) |
0.587979 | + | 0.808876i | \(0.299924\pi\) | |||||||
\(14\) | −0.141002 | + | 5.83499i | −0.0376843 | + | 1.55947i | ||||
\(15\) | 3.87264 | + | 0.0517672i | 0.999911 | + | 0.0133662i | ||||
\(16\) | −1.42399 | − | 0.518289i | −0.355997 | − | 0.129572i | ||||
\(17\) | −0.492925 | + | 1.83962i | −0.119552 | + | 0.446173i | −0.999587 | − | 0.0287350i | \(-0.990852\pi\) |
0.880035 | + | 0.474908i | \(0.157519\pi\) | |||||||
\(18\) | 6.01678 | + | 2.75659i | 1.41817 | + | 0.649734i | ||||
\(19\) | 2.22549 | + | 1.28489i | 0.510563 | + | 0.294774i | 0.733065 | − | 0.680159i | \(-0.238089\pi\) |
−0.222502 | + | 0.974932i | \(0.571422\pi\) | |||||||
\(20\) | −0.107221 | + | 6.40927i | −0.0239754 | + | 1.43316i | ||||
\(21\) | −4.55584 | − | 0.494256i | −0.994167 | − | 0.107856i | ||||
\(22\) | 9.34601 | − | 0.817670i | 1.99258 | − | 0.174328i | ||||
\(23\) | 5.28668 | − | 0.462525i | 1.10235 | − | 0.0964431i | 0.478574 | − | 0.878047i | \(-0.341154\pi\) |
0.623775 | + | 0.781604i | \(0.285598\pi\) | |||||||
\(24\) | −1.38950 | + | 3.00613i | −0.283631 | + | 0.613624i | ||||
\(25\) | −4.75303 | + | 1.55199i | −0.950607 | + | 0.310397i | ||||
\(26\) | −0.243733 | + | 0.140719i | −0.0478000 | + | 0.0275974i | ||||
\(27\) | −2.55257 | + | 4.52597i | −0.491243 | + | 0.871023i | ||||
\(28\) | 0.843380 | − | 7.53758i | 0.159384 | − | 1.42447i | ||||
\(29\) | 0.465271 | + | 2.63868i | 0.0863986 | + | 0.489991i | 0.997046 | + | 0.0768065i | \(0.0244724\pi\) |
−0.910647 | + | 0.413184i | \(0.864417\pi\) | |||||||
\(30\) | −8.50082 | − | 0.858363i | −1.55203 | − | 0.156715i | ||||
\(31\) | −0.0315243 | + | 0.178783i | −0.00566193 | + | 0.0321104i | −0.987508 | − | 0.157570i | \(-0.949634\pi\) |
0.981846 | + | 0.189680i | \(0.0607452\pi\) | |||||||
\(32\) | 6.49557 | + | 3.02893i | 1.14827 | + | 0.535445i | ||||
\(33\) | 0.0247558 | + | 7.36584i | 0.00430943 | + | 1.28223i | ||||
\(34\) | 1.43699 | − | 3.94810i | 0.246442 | − | 0.677093i | ||||
\(35\) | 5.77231 | − | 1.29633i | 0.975698 | − | 0.219119i | ||||
\(36\) | −7.47668 | − | 4.24991i | −1.24611 | − | 0.708319i | ||||
\(37\) | 0.606980 | − | 0.606980i | 0.0997869 | − | 0.0997869i | −0.655451 | − | 0.755238i | \(-0.727521\pi\) |
0.755238 | + | 0.655451i | \(0.227521\pi\) | |||||||
\(38\) | −4.64385 | − | 3.25166i | −0.753331 | − | 0.527488i | ||||
\(39\) | −0.0940571 | − | 0.199949i | −0.0150612 | − | 0.0320174i | ||||
\(40\) | 0.443817 | − | 4.25233i | 0.0701737 | − | 0.672352i | ||||
\(41\) | −10.1168 | − | 1.78386i | −1.57997 | − | 0.278592i | −0.686304 | − | 0.727315i | \(-0.740768\pi\) |
−0.893671 | + | 0.448723i | \(0.851879\pi\) | |||||||
\(42\) | 9.91720 | + | 1.96217i | 1.53026 | + | 0.302769i | ||||
\(43\) | −12.2381 | − | 1.07069i | −1.86629 | − | 0.163279i | −0.902630 | − | 0.430418i | \(-0.858366\pi\) |
−0.963658 | + | 0.267139i | \(0.913922\pi\) | |||||||
\(44\) | −12.1913 | −1.83790 | ||||||||
\(45\) | 1.23091 | − | 6.59431i | 0.183493 | − | 0.983021i | ||||
\(46\) | −11.7073 | −1.72615 | ||||||||
\(47\) | −2.23386 | + | 3.19029i | −0.325842 | + | 0.465351i | −0.948333 | − | 0.317276i | \(-0.897232\pi\) |
0.622491 | + | 0.782627i | \(0.286121\pi\) | |||||||
\(48\) | −1.30471 | + | 2.27746i | −0.188318 | + | 0.328723i | ||||
\(49\) | −6.94432 | + | 0.881145i | −0.992046 | + | 0.125878i | ||||
\(50\) | 10.7440 | − | 2.49688i | 1.51943 | − | 0.353112i | ||||
\(51\) | 2.99432 | + | 1.38404i | 0.419289 | + | 0.193805i | ||||
\(52\) | 0.331456 | − | 0.154561i | 0.0459647 | − | 0.0214337i | ||||
\(53\) | 2.84198 | + | 10.6064i | 0.390375 | + | 1.45690i | 0.829516 | + | 0.558483i | \(0.188616\pi\) |
−0.439141 | + | 0.898418i | \(0.644717\pi\) | |||||||
\(54\) | 6.47992 | − | 9.45579i | 0.881806 | − | 1.28677i | ||||
\(55\) | −3.10245 | − | 8.98898i | −0.418335 | − | 1.21207i | ||||
\(56\) | −0.998538 | + | 4.95922i | −0.133435 | + | 0.662704i | ||||
\(57\) | 2.84956 | − | 3.41925i | 0.377434 | − | 0.452890i | ||||
\(58\) | −0.515169 | − | 5.88840i | −0.0676450 | − | 0.773185i | ||||
\(59\) | −3.88857 | + | 1.41532i | −0.506249 | + | 0.184259i | −0.582502 | − | 0.812829i | \(-0.697926\pi\) |
0.0762537 | + | 0.997088i | \(0.475704\pi\) | |||||||
\(60\) | 10.9073 | + | 2.07395i | 1.40813 | + | 0.267745i | ||||
\(61\) | 0.393991 | + | 2.23444i | 0.0504454 | + | 0.286090i | 0.999586 | − | 0.0287615i | \(-0.00915633\pi\) |
−0.949141 | + | 0.314852i | \(0.898045\pi\) | |||||||
\(62\) | 0.103655 | − | 0.386845i | 0.0131642 | − | 0.0491294i | ||||
\(63\) | −2.18769 | + | 7.62981i | −0.275623 | + | 0.961266i | ||||
\(64\) | −11.0680 | − | 6.39013i | −1.38350 | − | 0.798766i | ||||
\(65\) | 0.198312 | + | 0.205060i | 0.0245976 | + | 0.0254345i | ||||
\(66\) | 1.36183 | − | 16.1924i | 0.167630 | − | 1.99315i | ||||
\(67\) | 13.4841 | − | 1.17970i | 1.64734 | − | 0.144124i | 0.774648 | − | 0.632393i | \(-0.217927\pi\) |
0.872693 | + | 0.488269i | \(0.162372\pi\) | |||||||
\(68\) | −2.30737 | + | 4.94817i | −0.279810 | + | 0.600053i | ||||
\(69\) | 0.770337 | − | 9.15944i | 0.0927377 | − | 1.10267i | ||||
\(70\) | −12.9349 | + | 1.73905i | −1.54601 | + | 0.207856i | ||||
\(71\) | 3.39061 | + | 1.95757i | 0.402391 | + | 0.232321i | 0.687515 | − | 0.726170i | \(-0.258701\pi\) |
−0.285124 | + | 0.958491i | \(0.592035\pi\) | |||||||
\(72\) | 4.72073 | + | 3.25842i | 0.556344 | + | 0.384009i | ||||
\(73\) | 4.68183 | + | 4.68183i | 0.547967 | + | 0.547967i | 0.925852 | − | 0.377886i | \(-0.123349\pi\) |
−0.377886 | + | 0.925852i | \(0.623349\pi\) | |||||||
\(74\) | −1.45065 | + | 1.21724i | −0.168634 | + | 0.141501i | ||||
\(75\) | 1.24653 | + | 8.57007i | 0.143937 | + | 0.989587i | ||||
\(76\) | 5.64331 | + | 4.73530i | 0.647332 | + | 0.543176i | ||||
\(77\) | 2.64872 | + | 10.9354i | 0.301850 | + | 1.24620i | ||||
\(78\) | 0.168262 | + | 0.457506i | 0.0190519 | + | 0.0518023i | ||||
\(79\) | 8.13529 | + | 9.69526i | 0.915292 | + | 1.09080i | 0.995569 | + | 0.0940299i | \(0.0299749\pi\) |
−0.0802774 | + | 0.996773i | \(0.525581\pi\) | |||||||
\(80\) | 0.644139 | − | 3.32670i | 0.0720169 | − | 0.371936i | ||||
\(81\) | 6.97155 | + | 5.69188i | 0.774616 | + | 0.632432i | ||||
\(82\) | 21.8903 | + | 5.86550i | 2.41738 | + | 0.647736i | ||||
\(83\) | 2.43111 | + | 1.70228i | 0.266849 | + | 0.186850i | 0.699341 | − | 0.714788i | \(-0.253477\pi\) |
−0.432492 | + | 0.901638i | \(0.642366\pi\) | |||||||
\(84\) | −12.6158 | − | 3.66326i | −1.37650 | − | 0.399695i | ||||
\(85\) | −4.23562 | − | 0.442073i | −0.459417 | − | 0.0479496i | ||||
\(86\) | 26.6894 | + | 4.70605i | 2.87799 | + | 0.507467i | ||||
\(87\) | 4.64081 | − | 0.0155972i | 0.497547 | − | 0.00167220i | ||||
\(88\) | 8.10032 | + | 0.708686i | 0.863497 | + | 0.0755462i | ||||
\(89\) | −8.23114 | + | 14.2567i | −0.872499 | + | 1.51121i | −0.0130953 | + | 0.999914i | \(0.504168\pi\) |
−0.859403 | + | 0.511298i | \(0.829165\pi\) | |||||||
\(90\) | −3.97302 | + | 14.2554i | −0.418793 | + | 1.50265i | ||||
\(91\) | −0.210652 | − | 0.263731i | −0.0220823 | − | 0.0276465i | ||||
\(92\) | 15.1554 | + | 1.32593i | 1.58006 | + | 0.138237i | ||||
\(93\) | 0.295836 | + | 0.106551i | 0.0306767 | + | 0.0110488i | ||||
\(94\) | 5.52269 | − | 6.58168i | 0.569622 | − | 0.678849i | ||||
\(95\) | −2.05536 | + | 5.36603i | −0.210875 | + | 0.550543i | ||||
\(96\) | 7.08601 | − | 10.1926i | 0.723213 | − | 1.04028i | ||||
\(97\) | −0.505228 | + | 5.77479i | −0.0512982 | + | 0.586341i | 0.926430 | + | 0.376467i | \(0.122861\pi\) |
−0.977728 | + | 0.209874i | \(0.932695\pi\) | |||||||
\(98\) | 15.4307 | − | 0.601272i | 1.55874 | − | 0.0607377i | ||||
\(99\) | 12.5789 | + | 2.13091i | 1.26422 | + | 0.214165i | ||||
\(100\) | −14.1912 | + | 2.01545i | −1.41912 | + | 0.201545i | ||||
\(101\) | −6.53154 | − | 7.78399i | −0.649913 | − | 0.774536i | 0.335988 | − | 0.941866i | \(-0.390930\pi\) |
−0.985901 | + | 0.167331i | \(0.946485\pi\) | |||||||
\(102\) | −6.31441 | − | 3.61739i | −0.625220 | − | 0.358175i | ||||
\(103\) | 3.44582 | − | 2.41279i | 0.339527 | − | 0.237739i | −0.391360 | − | 0.920237i | \(-0.627995\pi\) |
0.730887 | + | 0.682498i | \(0.239107\pi\) | |||||||
\(104\) | −0.229217 | + | 0.0834280i | −0.0224765 | + | 0.00818079i | ||||
\(105\) | −0.509470 | − | 10.2343i | −0.0497192 | − | 0.998763i | ||||
\(106\) | −4.20642 | − | 23.8558i | −0.408563 | − | 2.31708i | ||||
\(107\) | −1.05984 | + | 3.95536i | −0.102458 | + | 0.382379i | −0.998044 | − | 0.0625089i | \(-0.980090\pi\) |
0.895586 | + | 0.444888i | \(0.146756\pi\) | |||||||
\(108\) | −9.45935 | + | 11.5069i | −0.910227 | + | 1.10725i | ||||
\(109\) | −2.74723 | − | 1.58611i | −0.263137 | − | 0.151922i | 0.362628 | − | 0.931934i | \(-0.381880\pi\) |
−0.625765 | + | 0.780012i | \(0.715213\pi\) | |||||||
\(110\) | 5.08984 | + | 20.3513i | 0.485297 | + | 1.94042i | ||||
\(111\) | −0.856877 | − | 1.21504i | −0.0813312 | − | 0.115326i | ||||
\(112\) | −1.13094 | + | 3.84650i | −0.106864 | + | 0.363460i | ||||
\(113\) | −2.75320 | + | 0.240874i | −0.259000 | + | 0.0226595i | −0.215916 | − | 0.976412i | \(-0.569274\pi\) |
−0.0430836 | + | 0.999071i | \(0.513718\pi\) | |||||||
\(114\) | −6.91981 | + | 6.96648i | −0.648100 | + | 0.652471i | ||||
\(115\) | 2.87913 | + | 11.5120i | 0.268480 | + | 1.07350i | ||||
\(116\) | 7.68104i | 0.713167i | ||||||||
\(117\) | −0.369010 | + | 0.101539i | −0.0341150 | + | 0.00938731i | ||||
\(118\) | 8.81791 | − | 2.36275i | 0.811755 | − | 0.217509i | ||||
\(119\) | 4.93973 | + | 0.994614i | 0.452825 | + | 0.0911761i | ||||
\(120\) | −7.12667 | − | 2.01206i | −0.650573 | − | 0.183675i | ||||
\(121\) | 6.65809 | − | 2.42335i | 0.605281 | − | 0.220304i | ||||
\(122\) | −0.436245 | − | 4.98630i | −0.0394958 | − | 0.451439i | ||||
\(123\) | −6.02937 | + | 16.7404i | −0.543650 | + | 1.50943i | ||||
\(124\) | −0.177997 | + | 0.489041i | −0.0159846 | + | 0.0439172i | ||||
\(125\) | −5.09745 | − | 9.95068i | −0.455929 | − | 0.890016i | ||||
\(126\) | 6.27481 | − | 16.3472i | 0.559004 | − | 1.45632i | ||||
\(127\) | −7.16793 | − | 1.92064i | −0.636051 | − | 0.170429i | −0.0736371 | − | 0.997285i | \(-0.523461\pi\) |
−0.562414 | + | 0.826856i | \(0.690127\pi\) | |||||||
\(128\) | 11.3534 | + | 7.94972i | 1.00351 | + | 0.702663i | ||||
\(129\) | −5.43803 | + | 20.5713i | −0.478791 | + | 1.81120i | ||||
\(130\) | −0.396397 | − | 0.488783i | −0.0347663 | − | 0.0428691i | ||||
\(131\) | −5.06210 | + | 6.03277i | −0.442277 | + | 0.527086i | −0.940423 | − | 0.340008i | \(-0.889570\pi\) |
0.498145 | + | 0.867094i | \(0.334015\pi\) | |||||||
\(132\) | −3.59682 | + | 20.8073i | −0.313063 | + | 1.81104i | ||||
\(133\) | 3.02140 | − | 6.09076i | 0.261988 | − | 0.528136i | ||||
\(134\) | −29.8603 | −2.57954 | ||||||||
\(135\) | −10.8916 | − | 4.04638i | −0.937399 | − | 0.348257i | ||||
\(136\) | 1.82074 | − | 3.15362i | 0.156127 | − | 0.270420i | ||||
\(137\) | −6.73011 | − | 14.4328i | −0.574992 | − | 1.23308i | −0.951782 | − | 0.306776i | \(-0.900750\pi\) |
0.376789 | − | 0.926299i | \(-0.377028\pi\) | |||||||
\(138\) | −3.45404 | + | 19.9813i | −0.294028 | + | 1.70092i | ||||
\(139\) | 7.80023 | + | 21.4310i | 0.661607 | + | 1.81775i | 0.569485 | + | 0.822002i | \(0.307143\pi\) |
0.0921223 | + | 0.995748i | \(0.470635\pi\) | |||||||
\(140\) | 16.9415 | − | 0.786289i | 1.43182 | − | 0.0664536i | ||||
\(141\) | 4.78592 | + | 4.75386i | 0.403047 | + | 0.400347i | ||||
\(142\) | −7.07505 | − | 4.95400i | −0.593725 | − | 0.415731i | ||||
\(143\) | −0.383632 | + | 0.383632i | −0.0320809 | + | 0.0320809i | ||||
\(144\) | 3.50210 | + | 2.89872i | 0.291842 | + | 0.241560i | ||||
\(145\) | −5.66346 | + | 1.95468i | −0.470325 | + | 0.162328i | ||||
\(146\) | −9.38893 | − | 11.1893i | −0.777033 | − | 0.926032i | ||||
\(147\) | −0.544920 | + | 12.1121i | −0.0449443 | + | 0.998989i | ||||
\(148\) | 2.01576 | − | 1.41145i | 0.165694 | − | 0.116020i | ||||
\(149\) | 1.52867 | − | 0.556392i | 0.125234 | − | 0.0455814i | −0.278643 | − | 0.960395i | \(-0.589885\pi\) |
0.403877 | + | 0.914813i | \(0.367662\pi\) | |||||||
\(150\) | −1.09169 | − | 19.0739i | −0.0891358 | − | 1.55737i | ||||
\(151\) | −0.258696 | − | 1.46714i | −0.0210524 | − | 0.119394i | 0.972471 | − | 0.233026i | \(-0.0748627\pi\) |
−0.993523 | + | 0.113632i | \(0.963752\pi\) | |||||||
\(152\) | −3.47436 | − | 3.47436i | −0.281808 | − | 0.281808i | ||||
\(153\) | 3.24562 | − | 4.70218i | 0.262393 | − | 0.380149i | ||||
\(154\) | −3.71845 | − | 24.5416i | −0.299641 | − | 1.97762i | ||||
\(155\) | −0.405882 | − | 0.00679003i | −0.0326012 | − | 0.000545388i | ||||
\(156\) | −0.166004 | − | 0.611310i | −0.0132910 | − | 0.0489440i | ||||
\(157\) | 3.75395 | − | 8.05037i | 0.299598 | − | 0.642490i | −0.697665 | − | 0.716424i | \(-0.745778\pi\) |
0.997263 | + | 0.0739342i | \(0.0235555\pi\) | |||||||
\(158\) | −16.0146 | − | 22.8712i | −1.27405 | − | 1.81953i | ||||
\(159\) | 18.9408 | − | 1.72127i | 1.50210 | − | 0.136506i | ||||
\(160\) | −4.40620 | + | 15.4084i | −0.348341 | + | 1.21814i | ||||
\(161\) | −2.10339 | − | 13.8822i | −0.165770 | − | 1.09407i | ||||
\(162\) | −14.2268 | − | 13.8493i | −1.11776 | − | 1.08810i | ||||
\(163\) | 0.0449382 | − | 0.167712i | 0.00351983 | − | 0.0131362i | −0.964144 | − | 0.265381i | \(-0.914502\pi\) |
0.967663 | + | 0.252245i | \(0.0811689\pi\) | |||||||
\(164\) | −27.6733 | − | 10.0723i | −2.16092 | − | 0.786511i | ||||
\(165\) | −16.2572 | + | 2.64303i | −1.26562 | + | 0.205760i | ||||
\(166\) | −5.01548 | − | 4.20849i | −0.389277 | − | 0.326642i | ||||
\(167\) | 2.00334 | + | 22.8982i | 0.155023 | + | 1.77192i | 0.533011 | + | 0.846109i | \(0.321061\pi\) |
−0.377988 | + | 0.925811i | \(0.623384\pi\) | |||||||
\(168\) | 8.16949 | + | 3.16738i | 0.630290 | + | 0.244368i | ||||
\(169\) | −4.44070 | + | 12.2007i | −0.341592 | + | 0.938516i | ||||
\(170\) | 9.22348 | + | 1.78592i | 0.707409 | + | 0.136974i | ||||
\(171\) | −4.99505 | − | 5.87225i | −0.381981 | − | 0.449062i | ||||
\(172\) | −34.0171 | − | 9.11485i | −2.59378 | − | 0.695001i | ||||
\(173\) | 5.97312 | − | 2.78531i | 0.454128 | − | 0.211763i | −0.182076 | − | 0.983285i | \(-0.558282\pi\) |
0.636204 | + | 0.771521i | \(0.280504\pi\) | |||||||
\(174\) | −10.2020 | − | 0.858016i | −0.773408 | − | 0.0650460i | ||||
\(175\) | 4.89105 | + | 12.2914i | 0.369729 | + | 0.929140i | ||||
\(176\) | 6.34652 | + | 1.11906i | 0.478387 | + | 0.0843526i | ||||
\(177\) | 1.26833 | + | 7.05434i | 0.0953336 | + | 0.530236i | ||||
\(178\) | 20.8305 | − | 29.7490i | 1.56131 | − | 2.22978i | ||||
\(179\) | −5.03410 | − | 8.71932i | −0.376266 | − | 0.651713i | 0.614249 | − | 0.789112i | \(-0.289459\pi\) |
−0.990516 | + | 0.137399i | \(0.956126\pi\) | |||||||
\(180\) | 6.75770 | − | 18.0041i | 0.503689 | − | 1.34194i | ||||
\(181\) | 1.31310 | + | 2.27436i | 0.0976020 | + | 0.169052i | 0.910692 | − | 0.413087i | \(-0.135549\pi\) |
−0.813090 | + | 0.582139i | \(0.802216\pi\) | |||||||
\(182\) | 0.412235 | + | 0.620094i | 0.0305569 | + | 0.0459645i | ||||
\(183\) | 3.92984 | − | 0.0132078i | 0.290502 | − | 0.000976345i | ||||
\(184\) | −9.99274 | − | 1.76199i | −0.736674 | − | 0.129896i | ||||
\(185\) | 1.55368 | + | 1.12709i | 0.114229 | + | 0.0828654i | ||||
\(186\) | −0.629662 | − | 0.291044i | −0.0461690 | − | 0.0213404i | ||||
\(187\) | 0.705902 | − | 8.06849i | 0.0516206 | − | 0.590027i | ||||
\(188\) | −7.89468 | + | 7.89468i | −0.575779 | + | 0.575779i | ||||
\(189\) | 12.3766 | + | 5.98486i | 0.900269 | + | 0.435335i | ||||
\(190\) | 5.54873 | − | 11.3976i | 0.402547 | − | 0.826866i | ||||
\(191\) | 5.27702 | + | 6.28891i | 0.381832 | + | 0.455049i | 0.922391 | − | 0.386256i | \(-0.126232\pi\) |
−0.540560 | + | 0.841306i | \(0.681788\pi\) | |||||||
\(192\) | −14.1717 | + | 17.0049i | −1.02276 | + | 1.22722i | ||||
\(193\) | −8.92462 | + | 6.24909i | −0.642409 | + | 0.449819i | −0.848846 | − | 0.528641i | \(-0.822702\pi\) |
0.206437 | + | 0.978460i | \(0.433813\pi\) | |||||||
\(194\) | 2.22065 | − | 12.5939i | 0.159433 | − | 0.904191i | ||||
\(195\) | 0.408492 | − | 0.277967i | 0.0292527 | − | 0.0199056i | ||||
\(196\) | −20.0436 | − | 0.969266i | −1.43168 | − | 0.0692333i | ||||
\(197\) | 5.71010 | − | 21.3104i | 0.406828 | − | 1.51830i | −0.393832 | − | 0.919182i | \(-0.628851\pi\) |
0.800660 | − | 0.599119i | \(-0.204482\pi\) | |||||||
\(198\) | −27.2345 | − | 7.10159i | −1.93547 | − | 0.504688i | ||||
\(199\) | 3.52436 | − | 2.03479i | 0.249835 | − | 0.144242i | −0.369854 | − | 0.929090i | \(-0.620592\pi\) |
0.619689 | + | 0.784848i | \(0.287259\pi\) | |||||||
\(200\) | 9.54630 | − | 0.514196i | 0.675025 | − | 0.0363592i | ||||
\(201\) | 1.96480 | − | 23.3618i | 0.138586 | − | 1.64782i | ||||
\(202\) | 12.8575 | + | 18.3624i | 0.904652 | + | 1.29198i | ||||
\(203\) | 6.88977 | − | 1.66881i | 0.483567 | − | 0.117128i | ||||
\(204\) | 7.76448 | + | 5.39795i | 0.543622 | + | 0.377932i | ||||
\(205\) | 0.384226 | − | 22.9676i | 0.0268355 | − | 1.60412i | ||||
\(206\) | −8.03668 | + | 4.63998i | −0.559942 | + | 0.323283i | ||||
\(207\) | −15.4055 | − | 4.01710i | −1.07076 | − | 0.279208i | ||||
\(208\) | −0.186737 | + | 0.0500360i | −0.0129479 | + | 0.00346937i | ||||
\(209\) | −10.2694 | − | 3.73776i | −0.710349 | − | 0.258546i | ||||
\(210\) | −0.848109 | + | 22.5895i | −0.0585251 | + | 1.55882i | ||||
\(211\) | 7.13070 | + | 5.98336i | 0.490897 | + | 0.411912i | 0.854348 | − | 0.519702i | \(-0.173957\pi\) |
−0.363450 | + | 0.931614i | \(0.618401\pi\) | |||||||
\(212\) | 2.74350 | + | 31.3583i | 0.188424 | + | 2.15370i | ||||
\(213\) | 4.34140 | − | 5.20933i | 0.297468 | − | 0.356938i | ||||
\(214\) | 3.08967 | − | 8.48879i | 0.211205 | − | 0.580282i | ||||
\(215\) | −1.93608 | − | 27.4014i | −0.132039 | − | 1.86876i | ||||
\(216\) | 6.95405 | − | 7.09571i | 0.473163 | − | 0.482802i | ||||
\(217\) | 0.477334 | + | 0.0534090i | 0.0324036 | + | 0.00362564i | ||||
\(218\) | 5.73254 | + | 4.01396i | 0.388256 | + | 0.271860i | ||||
\(219\) | 9.37195 | − | 6.60936i | 0.633298 | − | 0.446619i | ||||
\(220\) | −4.28402 | − | 26.9218i | −0.288828 | − | 1.81506i | ||||
\(221\) | 0.0831002 | + | 0.228316i | 0.00558992 | + | 0.0153582i | ||||
\(222\) | 1.64952 | + | 2.83500i | 0.110708 | + | 0.190273i | ||||
\(223\) | 6.49943 | + | 13.9381i | 0.435234 | + | 0.933362i | 0.994536 | + | 0.104398i | \(0.0332915\pi\) |
−0.559302 | + | 0.828964i | \(0.688931\pi\) | |||||||
\(224\) | 6.91405 | − | 17.6568i | 0.461965 | − | 1.17975i | ||||
\(225\) | 14.9946 | + | 0.400951i | 0.999643 | + | 0.0267301i | ||||
\(226\) | 6.09694 | 0.405563 | ||||||||
\(227\) | 14.6744 | − | 20.9572i | 0.973974 | − | 1.39098i | 0.0541997 | − | 0.998530i | \(-0.482739\pi\) |
0.919774 | − | 0.392449i | \(-0.128372\pi\) | |||||||
\(228\) | 9.74688 | − | 8.23458i | 0.645503 | − | 0.545348i | ||||
\(229\) | −1.14999 | − | 3.15958i | −0.0759937 | − | 0.208791i | 0.895879 | − | 0.444298i | \(-0.146547\pi\) |
−0.971873 | + | 0.235508i | \(0.924325\pi\) | |||||||
\(230\) | −4.11396 | − | 25.8531i | −0.271266 | − | 1.70470i | ||||
\(231\) | 19.4453 | − | 1.29438i | 1.27940 | − | 0.0851638i | ||||
\(232\) | 0.446504 | − | 5.10357i | 0.0293144 | − | 0.335066i | ||||
\(233\) | −13.6426 | + | 13.6426i | −0.893759 | + | 0.893759i | −0.994875 | − | 0.101116i | \(-0.967759\pi\) |
0.101116 | + | 0.994875i | \(0.467759\pi\) | |||||||
\(234\) | 0.830485 | − | 0.152200i | 0.0542905 | − | 0.00994961i | ||||
\(235\) | −7.83004 | − | 3.81193i | −0.510775 | − | 0.248663i | ||||
\(236\) | −11.6826 | + | 2.05996i | −0.760473 | + | 0.134092i | ||||
\(237\) | 18.9475 | − | 11.0244i | 1.23077 | − | 0.716111i | ||||
\(238\) | −10.6647 | − | 3.13560i | −0.691287 | − | 0.203251i | ||||
\(239\) | −26.0992 | + | 9.49934i | −1.68822 | + | 0.614461i | −0.994399 | − | 0.105688i | \(-0.966295\pi\) |
−0.693819 | + | 0.720149i | \(0.744073\pi\) | |||||||
\(240\) | −5.48776 | − | 2.08086i | −0.354233 | − | 0.134319i | ||||
\(241\) | −14.4196 | − | 5.24830i | −0.928848 | − | 0.338073i | −0.167095 | − | 0.985941i | \(-0.553439\pi\) |
−0.761753 | + | 0.647868i | \(0.775661\pi\) | |||||||
\(242\) | −15.0982 | + | 4.04556i | −0.970550 | + | 0.260058i | ||||
\(243\) | 11.7714 | − | 10.2193i | 0.755135 | − | 0.655569i | ||||
\(244\) | 6.50431i | 0.416396i | ||||||||
\(245\) | −4.38606 | − | 15.0254i | −0.280215 | − | 0.959937i | ||||
\(246\) | 16.4692 | − | 35.6306i | 1.05004 | − | 2.27172i | ||||
\(247\) | 0.326592 | − | 0.0285731i | 0.0207806 | − | 0.00181806i | ||||
\(248\) | 0.146696 | − | 0.314590i | 0.00931519 | − | 0.0199765i | ||||
\(249\) | 3.62261 | − | 3.64705i | 0.229574 | − | 0.231122i | ||||
\(250\) | 9.28927 | + | 22.8484i | 0.587505 | + | 1.44506i | ||||
\(251\) | −12.5196 | + | 7.22819i | −0.790230 | + | 0.456240i | −0.840044 | − | 0.542519i | \(-0.817471\pi\) |
0.0498135 | + | 0.998759i | \(0.484137\pi\) | |||||||
\(252\) | −9.97432 | + | 20.4512i | −0.628323 | + | 1.28830i | ||||
\(253\) | −21.7995 | + | 5.84116i | −1.37052 | + | 0.367231i | ||||
\(254\) | 15.3835 | + | 5.59912i | 0.965244 | + | 0.351320i | ||||
\(255\) | −2.00415 | + | 7.09866i | −0.125505 | + | 0.444535i | ||||
\(256\) | −3.84197 | − | 3.22379i | −0.240123 | − | 0.201487i | ||||
\(257\) | −18.9616 | − | 8.84196i | −1.18280 | − | 0.551546i | −0.271155 | − | 0.962536i | \(-0.587406\pi\) |
−0.911640 | + | 0.410989i | \(0.865183\pi\) | |||||||
\(258\) | 15.9062 | − | 44.1633i | 0.990279 | − | 2.74949i | ||||
\(259\) | −1.70400 | − | 1.50145i | −0.105881 | − | 0.0932953i | ||||
\(260\) | 0.457788 | + | 0.677637i | 0.0283908 | + | 0.0420253i | ||||
\(261\) | 1.34257 | − | 7.92525i | 0.0831031 | − | 0.490560i | ||||
\(262\) | 12.2847 | − | 12.2847i | 0.758954 | − | 0.758954i | ||||
\(263\) | 2.68274 | − | 30.6639i | 0.165425 | − | 1.89082i | −0.231303 | − | 0.972882i | \(-0.574299\pi\) |
0.396728 | − | 0.917936i | \(-0.370146\pi\) | |||||||
\(264\) | 3.59940 | − | 13.6160i | 0.221528 | − | 0.838010i | ||||
\(265\) | −22.4233 | + | 10.0030i | −1.37745 | + | 0.614479i | ||||
\(266\) | −7.81111 | + | 12.8046i | −0.478930 | + | 0.785097i | ||||
\(267\) | 21.9041 | + | 18.2546i | 1.34051 | + | 1.11716i | ||||
\(268\) | 38.6550 | + | 3.38187i | 2.36123 | + | 0.206581i | ||||
\(269\) | −9.42540 | + | 16.3253i | −0.574677 | + | 0.995369i | 0.421400 | + | 0.906875i | \(0.361539\pi\) |
−0.996077 | + | 0.0884943i | \(0.971794\pi\) | |||||||
\(270\) | 23.1581 | + | 10.9867i | 1.40936 | + | 0.668631i | ||||
\(271\) | −8.64270 | − | 14.9696i | −0.525007 | − | 0.909339i | −0.999576 | − | 0.0291203i | \(-0.990729\pi\) |
0.474569 | − | 0.880218i | \(-0.342604\pi\) | |||||||
\(272\) | 1.65537 | − | 2.36412i | 0.100372 | − | 0.143346i | ||||
\(273\) | −0.512268 | + | 0.281718i | −0.0310039 | + | 0.0170504i | ||||
\(274\) | 12.0156 | + | 33.0125i | 0.725886 | + | 1.99436i | ||||
\(275\) | 18.7600 | − | 10.0098i | 1.13127 | − | 0.603616i | ||||
\(276\) | 6.73436 | − | 25.4751i | 0.405361 | − | 1.53342i | ||||
\(277\) | −1.44937 | + | 16.5664i | −0.0870843 | + | 0.995378i | 0.819423 | + | 0.573189i | \(0.194294\pi\) |
−0.906508 | + | 0.422189i | \(0.861262\pi\) | |||||||
\(278\) | −13.0218 | − | 48.5979i | −0.780994 | − | 2.91471i | ||||
\(279\) | 0.269135 | − | 0.473478i | 0.0161127 | − | 0.0283464i | ||||
\(280\) | −11.3023 | − | 0.462380i | −0.675439 | − | 0.0276325i | ||||
\(281\) | −10.1467 | − | 12.0923i | −0.605298 | − | 0.721367i | 0.373170 | − | 0.927763i | \(-0.378271\pi\) |
−0.978468 | + | 0.206396i | \(0.933826\pi\) | |||||||
\(282\) | −9.60384 | − | 11.3676i | −0.571900 | − | 0.676931i | ||||
\(283\) | −0.670926 | − | 7.66872i | −0.0398824 | − | 0.455858i | −0.989710 | − | 0.143085i | \(-0.954298\pi\) |
0.949828 | − | 0.312773i | \(-0.101258\pi\) | |||||||
\(284\) | 8.59776 | + | 7.21438i | 0.510183 | + | 0.428095i | ||||
\(285\) | 8.55201 | + | 5.09111i | 0.506577 | + | 0.301572i | ||||
\(286\) | 0.916858 | − | 0.769335i | 0.0542149 | − | 0.0454917i | ||||
\(287\) | −3.02224 | + | 27.0108i | −0.178397 | + | 1.59440i | ||||
\(288\) | −15.3055 | − | 15.1011i | −0.901885 | − | 0.889842i | ||||
\(289\) | 11.5812 | + | 6.68641i | 0.681247 | + | 0.393318i | ||||
\(290\) | 12.8222 | − | 3.20683i | 0.752948 | − | 0.188311i | ||||
\(291\) | 9.70699 | + | 2.56605i | 0.569034 | + | 0.150424i | ||||
\(292\) | 10.8870 | + | 15.5482i | 0.637111 | + | 0.909888i | ||||
\(293\) | 12.4030 | − | 26.5984i | 0.724593 | − | 1.55389i | −0.104337 | − | 0.994542i | \(-0.533272\pi\) |
0.828930 | − | 0.559353i | \(-0.188950\pi\) | |||||||
\(294\) | 3.52636 | − | 26.5136i | 0.205662 | − | 1.54631i | ||||
\(295\) | −4.49188 | − | 8.08972i | −0.261528 | − | 0.471002i | ||||
\(296\) | −1.42139 | + | 0.820642i | −0.0826168 | + | 0.0476988i | ||||
\(297\) | 7.34809 | − | 20.8401i | 0.426379 | − | 1.20927i | ||||
\(298\) | −3.46650 | + | 0.928845i | −0.200809 | + | 0.0538065i | ||||
\(299\) | 0.518632 | − | 0.435184i | 0.0299932 | − | 0.0251673i | ||||
\(300\) | −0.747019 | + | 24.8152i | −0.0431292 | + | 1.43271i | ||||
\(301\) | −0.785190 | + | 32.4931i | −0.0452576 | + | 1.87287i | ||||
\(302\) | 0.286440 | + | 3.27402i | 0.0164828 | + | 0.188399i | ||||
\(303\) | −15.2122 | + | 8.85110i | −0.873921 | + | 0.508482i | ||||
\(304\) | −2.50313 | − | 2.98311i | −0.143564 | − | 0.171093i | ||||
\(305\) | −4.79582 | + | 1.65523i | −0.274608 | + | 0.0947781i | ||||
\(306\) | −8.03689 | + | 9.70980i | −0.459438 | + | 0.555072i | ||||
\(307\) | −7.32095 | − | 27.3222i | −0.417829 | − | 1.55936i | −0.779102 | − | 0.626898i | \(-0.784324\pi\) |
0.361273 | − | 0.932460i | \(-0.382342\pi\) | |||||||
\(308\) | 2.03415 | + | 32.1908i | 0.115906 | + | 1.83424i | ||||
\(309\) | −3.10137 | − | 6.59297i | −0.176431 | − | 0.375061i | ||||
\(310\) | 0.890688 | + | 0.0929616i | 0.0505877 | + | 0.00527986i | ||||
\(311\) | 17.5739 | − | 20.9437i | 0.996524 | − | 1.18761i | 0.0142999 | − | 0.999898i | \(-0.495448\pi\) |
0.982224 | − | 0.187713i | \(-0.0601075\pi\) | |||||||
\(312\) | 0.0747633 | + | 0.415827i | 0.00423264 | + | 0.0235416i | ||||
\(313\) | 8.28614 | + | 17.7697i | 0.468360 | + | 1.00440i | 0.988626 | + | 0.150397i | \(0.0480553\pi\) |
−0.520265 | + | 0.854005i | \(0.674167\pi\) | |||||||
\(314\) | −9.79779 | + | 16.9703i | −0.552921 | + | 0.957688i | ||||
\(315\) | −17.6175 | − | 2.14992i | −0.992636 | − | 0.121134i | ||||
\(316\) | 18.1410 | + | 31.4211i | 1.02051 | + | 1.76757i | ||||
\(317\) | −4.65248 | + | 6.64443i | −0.261309 | + | 0.373188i | −0.928271 | − | 0.371903i | \(-0.878705\pi\) |
0.666962 | + | 0.745091i | \(0.267594\pi\) | |||||||
\(318\) | −41.9566 | + | 0.141012i | −2.35281 | + | 0.00790753i | ||||
\(319\) | −3.89719 | − | 10.7074i | −0.218201 | − | 0.599501i | ||||
\(320\) | 10.2219 | − | 26.6868i | 0.571422 | − | 1.49184i | ||||
\(321\) | 6.43808 | + | 2.97582i | 0.359338 | + | 0.166094i | ||||
\(322\) | 1.95340 | + | 30.9130i | 0.108859 | + | 1.72271i | ||||
\(323\) | −3.46070 | + | 3.46070i | −0.192559 | + | 0.192559i | ||||
\(324\) | 16.8484 | + | 19.5395i | 0.936022 | + | 1.08553i | ||||
\(325\) | −0.383143 | + | 0.509987i | −0.0212530 | + | 0.0282890i | ||||
\(326\) | −0.131005 | + | 0.359934i | −0.00725571 | + | 0.0199349i | ||||
\(327\) | −3.51760 | + | 4.22085i | −0.194524 | + | 0.233413i | ||||
\(328\) | 17.8017 | + | 8.30105i | 0.982932 | + | 0.458349i | ||||
\(329\) | 8.79663 | + | 5.36617i | 0.484974 | + | 0.295847i | ||||
\(330\) | 36.2360 | − | 2.68272i | 1.99473 | − | 0.147679i | ||||
\(331\) | 2.11914 | + | 12.0182i | 0.116478 | + | 0.660581i | 0.986008 | + | 0.166700i | \(0.0533111\pi\) |
−0.869529 | + | 0.493881i | \(0.835578\pi\) | |||||||
\(332\) | 6.01604 | + | 6.01604i | 0.330173 | + | 0.330173i | ||||
\(333\) | −2.32655 | + | 1.10399i | −0.127494 | + | 0.0604982i | ||||
\(334\) | − | 50.7079i | − | 2.77461i | ||||||
\(335\) | 7.34343 | + | 29.3621i | 0.401214 | + | 1.60422i | ||||
\(336\) | 6.23130 | + | 3.06506i | 0.339945 | + | 0.167213i | ||||
\(337\) | −17.7527 | − | 25.3535i | −0.967051 | − | 1.38109i | −0.924157 | − | 0.382012i | \(-0.875231\pi\) |
−0.0428932 | − | 0.999080i | \(-0.513658\pi\) | |||||||
\(338\) | 12.1050 | − | 25.9593i | 0.658426 | − | 1.41200i | ||||
\(339\) | −0.401177 | + | 4.77006i | −0.0217889 | + | 0.259074i | ||||
\(340\) | −11.7378 | − | 3.35653i | −0.636570 | − | 0.182034i | ||||
\(341\) | − | 0.772039i | − | 0.0418083i | ||||||
\(342\) | 9.84839 | + | 13.8657i | 0.532540 | + | 0.749769i | ||||
\(343\) | 3.48533 | + | 18.1894i | 0.188190 | + | 0.982133i | ||||
\(344\) | 22.0724 | + | 8.03368i | 1.19006 | + | 0.433147i | ||||
\(345\) | 20.4973 | − | 1.51751i | 1.10354 | − | 0.0817002i | ||||
\(346\) | −13.6625 | + | 4.97274i | −0.734499 | + | 0.267336i | ||||
\(347\) | −25.2856 | + | 17.7052i | −1.35740 | + | 0.950463i | −0.357539 | + | 0.933898i | \(0.616384\pi\) |
−0.999863 | + | 0.0165648i | \(0.994727\pi\) | |||||||
\(348\) | 13.1095 | + | 2.26616i | 0.702744 | + | 0.121479i | ||||
\(349\) | 22.8884 | − | 4.03584i | 1.22519 | − | 0.216033i | 0.476630 | − | 0.879104i | \(-0.341858\pi\) |
0.748557 | + | 0.663071i | \(0.230747\pi\) | |||||||
\(350\) | −8.38564 | − | 27.9527i | −0.448231 | − | 1.49414i | ||||
\(351\) | 0.0644308 | + | 0.659761i | 0.00343906 | + | 0.0352155i | ||||
\(352\) | −29.4408 | − | 7.88864i | −1.56920 | − | 0.420466i | ||||
\(353\) | −13.2363 | + | 6.17217i | −0.704495 | + | 0.328512i | −0.741640 | − | 0.670798i | \(-0.765952\pi\) |
0.0371444 | + | 0.999310i | \(0.488174\pi\) | |||||||
\(354\) | −1.43102 | − | 15.7470i | −0.0760581 | − | 0.836941i | ||||
\(355\) | −3.13140 | + | 8.17532i | −0.166198 | + | 0.433901i | ||||
\(356\) | −30.3348 | + | 36.1517i | −1.60774 | + | 1.91603i | ||||
\(357\) | 3.15493 | − | 8.13739i | 0.166977 | − | 0.430676i | ||||
\(358\) | 9.38681 | + | 20.1301i | 0.496109 | + | 1.06391i | ||||
\(359\) | −11.5318 | + | 19.9736i | −0.608623 | + | 1.05417i | 0.382845 | + | 0.923813i | \(0.374944\pi\) |
−0.991468 | + | 0.130353i | \(0.958389\pi\) | |||||||
\(360\) | −5.53666 | + | 11.5697i | −0.291807 | + | 0.609778i | ||||
\(361\) | −6.19813 | − | 10.7355i | −0.326217 | − | 0.565025i | ||||
\(362\) | −2.44847 | − | 5.25075i | −0.128689 | − | 0.275973i | ||||
\(363\) | −2.17166 | − | 12.0786i | −0.113983 | − | 0.633961i | ||||
\(364\) | −0.463419 | − | 0.849417i | −0.0242898 | − | 0.0445215i | ||||
\(365\) | −8.69361 | + | 11.9840i | −0.455044 | + | 0.627271i | ||||
\(366\) | −8.63902 | − | 0.726568i | −0.451569 | − | 0.0379783i | ||||
\(367\) | 7.30456 | + | 5.11471i | 0.381295 | + | 0.266986i | 0.748473 | − | 0.663165i | \(-0.230787\pi\) |
−0.367178 | + | 0.930151i | \(0.619676\pi\) | |||||||
\(368\) | −7.76789 | − | 2.08140i | −0.404929 | − | 0.108500i | ||||
\(369\) | 26.7926 | + | 15.2295i | 1.39477 | + | 0.792817i | ||||
\(370\) | −3.19776 | − | 2.77570i | −0.166244 | − | 0.144302i | ||||
\(371\) | 27.5318 | − | 9.27390i | 1.42938 | − | 0.481477i | ||||
\(372\) | 0.782151 | + | 0.448077i | 0.0405526 | + | 0.0232317i | ||||
\(373\) | −2.10929 | + | 1.47694i | −0.109215 | + | 0.0764731i | −0.626908 | − | 0.779093i | \(-0.715680\pi\) |
0.517693 | + | 0.855566i | \(0.326791\pi\) | |||||||
\(374\) | −3.10268 | + | 17.5961i | −0.160436 | + | 0.909875i | ||||
\(375\) | −18.4871 | + | 5.76423i | −0.954671 | + | 0.297663i | ||||
\(376\) | 5.70444 | − | 4.78660i | 0.294184 | − | 0.246850i | ||||
\(377\) | 0.241706 | + | 0.241706i | 0.0124485 | + | 0.0124485i | ||||
\(378\) | −26.0491 | − | 15.5324i | −1.33982 | − | 0.798901i | ||||
\(379\) | − | 9.42082i | − | 0.483915i | −0.970287 | − | 0.241957i | \(-0.922211\pi\) | ||
0.970287 | − | 0.241957i | \(-0.0777894\pi\) | |||||||
\(380\) | −8.47382 | + | 14.1260i | −0.434698 | + | 0.724649i | ||||
\(381\) | −5.39281 | + | 11.6671i | −0.276282 | + | 0.597725i | ||||
\(382\) | −10.3880 | − | 14.8355i | −0.531494 | − | 0.759053i | ||||
\(383\) | −1.69129 | − | 2.41542i | −0.0864211 | − | 0.123422i | 0.773614 | − | 0.633658i | \(-0.218447\pi\) |
−0.860035 | + | 0.510235i | \(0.829558\pi\) | |||||||
\(384\) | 16.9177 | − | 17.0318i | 0.863328 | − | 0.869151i | ||||
\(385\) | −23.2176 | + | 9.69182i | −1.18328 | + | 0.493941i | ||||
\(386\) | 20.8149 | − | 12.0175i | 1.05945 | − | 0.611674i | ||||
\(387\) | 33.5054 | + | 15.3505i | 1.70318 | + | 0.780310i | ||||
\(388\) | −4.30103 | + | 16.0517i | −0.218352 | + | 0.814900i | ||||
\(389\) | 1.28986 | + | 7.31519i | 0.0653987 | + | 0.370895i | 0.999889 | + | 0.0149057i | \(0.00474482\pi\) |
−0.934490 | + | 0.355989i | \(0.884144\pi\) | |||||||
\(390\) | −0.951175 | + | 0.532338i | −0.0481646 | + | 0.0269560i | ||||
\(391\) | −1.75507 | + | 9.95347i | −0.0887575 | + | 0.503369i | ||||
\(392\) | 13.2614 | + | 1.80916i | 0.669800 | + | 0.0913766i | ||||
\(393\) | 8.80288 | + | 10.4195i | 0.444046 | + | 0.525596i | ||||
\(394\) | −16.6463 | + | 45.7352i | −0.838627 | + | 2.30411i | ||||
\(395\) | −18.5511 | + | 21.3720i | −0.933409 | + | 1.07534i | ||||
\(396\) | 34.4514 | + | 12.2777i | 1.73125 | + | 0.616976i | ||||
\(397\) | −5.64243 | − | 21.0579i | −0.283186 | − | 1.05686i | −0.950155 | − | 0.311778i | \(-0.899075\pi\) |
0.666969 | − | 0.745085i | \(-0.267591\pi\) | |||||||
\(398\) | −8.13661 | + | 3.79416i | −0.407851 | + | 0.190184i | ||||
\(399\) | −9.50393 | − | 6.95371i | −0.475791 | − | 0.348121i | ||||
\(400\) | 7.57264 | + | 0.253437i | 0.378632 | + | 0.0126719i | ||||
\(401\) | 2.46029 | − | 2.93206i | 0.122861 | − | 0.146420i | −0.701108 | − | 0.713055i | \(-0.747311\pi\) |
0.823969 | + | 0.566635i | \(0.191755\pi\) | |||||||
\(402\) | −8.80978 | + | 50.9638i | −0.439392 | + | 2.54184i | ||||
\(403\) | 0.00978791 | + | 0.0209902i | 0.000487570 | + | 0.00104560i | ||||
\(404\) | −14.5647 | − | 25.2269i | −0.724623 | − | 1.25508i | ||||
\(405\) | −10.1195 | + | 17.3953i | −0.502841 | + | 0.864379i | ||||
\(406\) | −15.4623 | + | 2.34279i | −0.767380 | + | 0.116271i | ||||
\(407\) | −2.09385 | + | 2.99032i | −0.103788 | + | 0.148225i | ||||
\(408\) | −4.84522 | − | 4.03795i | −0.239874 | − | 0.199908i | ||||
\(409\) | −22.6384 | − | 3.99177i | −1.11940 | − | 0.197380i | −0.416822 | − | 0.908988i | \(-0.636856\pi\) |
−0.702576 | + | 0.711608i | \(0.747967\pi\) | |||||||
\(410\) | −5.26040 | + | 50.4012i | −0.259793 | + | 2.48914i | ||||
\(411\) | −26.6186 | + | 7.22840i | −1.31300 | + | 0.356551i | ||||
\(412\) | 10.9292 | − | 5.09637i | 0.538443 | − | 0.251080i | ||||
\(413\) | 4.38596 | + | 10.0316i | 0.215819 | + | 0.493621i | ||||
\(414\) | 33.0838 | + | 11.7903i | 1.62598 | + | 0.579461i | ||||
\(415\) | −2.90483 | + | 5.96678i | −0.142593 | + | 0.292897i | ||||
\(416\) | 0.900449 | − | 0.158774i | 0.0441482 | − | 0.00778451i | ||||
\(417\) | 38.8784 | − | 6.99011i | 1.90388 | − | 0.342307i | ||||
\(418\) | 21.8501 | + | 10.1889i | 1.06872 | + | 0.498353i | ||||
\(419\) | 5.17645 | − | 29.3571i | 0.252886 | − | 1.43419i | −0.548556 | − | 0.836114i | \(-0.684822\pi\) |
0.801442 | − | 0.598073i | \(-0.204067\pi\) | |||||||
\(420\) | 3.65630 | − | 29.1466i | 0.178409 | − | 1.42221i | ||||
\(421\) | −13.7480 | + | 11.5360i | −0.670038 | + | 0.562229i | −0.913077 | − | 0.407788i | \(-0.866300\pi\) |
0.243039 | + | 0.970017i | \(0.421856\pi\) | |||||||
\(422\) | −14.5205 | − | 14.5205i | −0.706846 | − | 0.706846i | ||||
\(423\) | 9.52560 | − | 6.76577i | 0.463150 | − | 0.328963i | ||||
\(424\) | − | 20.9951i | − | 1.01961i | ||||||
\(425\) | −0.512176 | − | 9.50879i | −0.0248442 | − | 0.461244i | ||||
\(426\) | −10.5426 | + | 10.6137i | −0.510789 | + | 0.514234i | ||||
\(427\) | 5.83426 | − | 1.41315i | 0.282339 | − | 0.0683871i | ||||
\(428\) | −4.96106 | + | 10.6390i | −0.239802 | + | 0.514257i | ||||
\(429\) | 0.541576 | + | 0.767944i | 0.0261475 | + | 0.0370767i | ||||
\(430\) | −1.01364 | + | 60.5914i | −0.0488820 | + | 2.92198i | ||||
\(431\) | −15.4453 | − | 8.91734i | −0.743973 | − | 0.429533i | 0.0795389 | − | 0.996832i | \(-0.474655\pi\) |
−0.823512 | + | 0.567299i | \(0.807989\pi\) | |||||||
\(432\) | 5.98059 | − | 5.12195i | 0.287741 | − | 0.246430i | ||||
\(433\) | 24.2832 | + | 24.2832i | 1.16698 | + | 1.16698i | 0.982915 | + | 0.184060i | \(0.0589241\pi\) |
0.184060 | + | 0.982915i | \(0.441076\pi\) | |||||||
\(434\) | −1.03875 | − | 0.209153i | −0.0498618 | − | 0.0100397i | ||||
\(435\) | 1.66523 | + | 10.2427i | 0.0798415 | + | 0.491102i | ||||
\(436\) | −6.96631 | − | 5.84543i | −0.333626 | − | 0.279945i | ||||
\(437\) | 12.3598 | + | 5.76345i | 0.591247 | + | 0.275703i | ||||
\(438\) | −21.8672 | + | 12.7232i | −1.04486 | + | 0.607939i | ||||
\(439\) | −1.45622 | + | 0.256770i | −0.0695014 | + | 0.0122550i | −0.208291 | − | 0.978067i | \(-0.566790\pi\) |
0.138789 | + | 0.990322i | \(0.455679\pi\) | |||||||
\(440\) | 1.28148 | + | 18.1368i | 0.0610922 | + | 0.864640i | ||||
\(441\) | 20.5114 | + | 4.50351i | 0.976734 | + | 0.214453i | ||||
\(442\) | −0.138728 | − | 0.517740i | −0.00659862 | − | 0.0246264i | ||||
\(443\) | 0.187851 | − | 0.0875963i | 0.00892506 | − | 0.00416182i | −0.418151 | − | 0.908378i | \(-0.637322\pi\) |
0.427076 | + | 0.904216i | \(0.359544\pi\) | |||||||
\(444\) | −1.81426 | − | 3.85680i | −0.0861009 | − | 0.183035i | ||||
\(445\) | −34.3754 | − | 13.1669i | −1.62955 | − | 0.624169i | ||||
\(446\) | −11.6037 | − | 31.8809i | −0.549451 | − | 1.50960i | ||||
\(447\) | −0.498606 | − | 2.77320i | −0.0235832 | − | 0.131168i | ||||
\(448\) | −15.0263 | + | 30.2912i | −0.709926 | + | 1.43112i | ||||
\(449\) | −7.92140 | + | 13.7203i | −0.373834 | + | 0.647499i | −0.990152 | − | 0.139998i | \(-0.955290\pi\) |
0.616318 | + | 0.787497i | \(0.288624\pi\) | |||||||
\(450\) | −32.8762 | − | 3.76419i | −1.54980 | − | 0.177446i | ||||
\(451\) | 43.6872 | 2.05715 | ||||||||
\(452\) | −7.89265 | − | 0.690517i | −0.371239 | − | 0.0324792i | ||||
\(453\) | −2.58034 | + | 0.00867225i | −0.121235 | + | 0.000407458i | ||||
\(454\) | −36.2789 | + | 43.2355i | −1.70265 | + | 2.02914i | ||||
\(455\) | 0.508369 | − | 0.557854i | 0.0238327 | − | 0.0261526i | ||||
\(456\) | −6.95487 | + | 4.90477i | −0.325692 | + | 0.229687i | ||||
\(457\) | 3.67409 | − | 41.9950i | 0.171867 | − | 1.96445i | −0.0803278 | − | 0.996768i | \(-0.525597\pi\) |
0.252194 | − | 0.967677i | \(-0.418848\pi\) | |||||||
\(458\) | 1.91981 | + | 7.16482i | 0.0897067 | + | 0.334790i | ||||
\(459\) | −7.06783 | − | 6.92672i | −0.329898 | − | 0.323312i | ||||
\(460\) | 2.39760 | + | 33.9334i | 0.111789 | + | 1.58215i | ||||
\(461\) | −32.6444 | + | 5.75608i | −1.52040 | + | 0.268087i | −0.870590 | − | 0.492010i | \(-0.836262\pi\) |
−0.649809 | + | 0.760097i | \(0.725151\pi\) | |||||||
\(462\) | −42.9831 | − | 0.894145i | −1.99975 | − | 0.0415994i | ||||
\(463\) | −27.3328 | − | 12.7455i | −1.27026 | − | 0.592333i | −0.333648 | − | 0.942698i | \(-0.608280\pi\) |
−0.936613 | + | 0.350365i | \(0.886057\pi\) | |||||||
\(464\) | 0.705060 | − | 3.99859i | 0.0327316 | − | 0.185630i | ||||
\(465\) | −0.131337 | + | 0.690731i | −0.00609062 | + | 0.0320319i | ||||
\(466\) | 32.6051 | − | 27.3589i | 1.51040 | − | 1.26738i | ||||
\(467\) | −0.688006 | + | 0.184351i | −0.0318371 | + | 0.00853073i | −0.274702 | − | 0.961529i | \(-0.588579\pi\) |
0.242865 | + | 0.970060i | \(0.421913\pi\) | |||||||
\(468\) | −1.09232 | + | 0.102969i | −0.0504926 | + | 0.00475974i | ||||
\(469\) | −5.36484 | − | 35.4076i | −0.247725 | − | 1.63497i | ||||
\(470\) | 16.4749 | + | 9.88285i | 0.759931 | + | 0.455862i | ||||
\(471\) | −12.6323 | − | 8.78214i | −0.582068 | − | 0.404660i | ||||
\(472\) | 7.88211 | − | 0.689595i | 0.362803 | − | 0.0317412i | ||||
\(473\) | 52.0447 | − | 4.55332i | 2.39302 | − | 0.209362i | ||||
\(474\) | −43.7599 | + | 20.5849i | −2.00996 | + | 0.945496i | ||||
\(475\) | −12.5720 | − | 2.65319i | −0.576841 | − | 0.121737i | ||||
\(476\) | 13.4506 | + | 5.26696i | 0.616505 | + | 0.241410i | ||||
\(477\) | 2.65041 | − | 32.8349i | 0.121354 | − | 1.50340i | ||||
\(478\) | 59.1839 | − | 15.8583i | 2.70701 | − | 0.725341i | ||||
\(479\) | 23.8128 | − | 19.9814i | 1.08804 | − | 0.912971i | 0.0914736 | − | 0.995807i | \(-0.470842\pi\) |
0.996563 | + | 0.0828362i | \(0.0263978\pi\) | |||||||
\(480\) | 24.9982 | + | 12.0662i | 1.14101 | + | 0.550745i | ||||
\(481\) | 0.0190163 | − | 0.107847i | 0.000867068 | − | 0.00491739i | ||||
\(482\) | 30.6804 | + | 14.3065i | 1.39745 | + | 0.651643i | ||||
\(483\) | −24.3139 | − | 0.505784i | −1.10632 | − | 0.0230140i | ||||
\(484\) | 20.0032 | − | 3.52711i | 0.909237 | − | 0.160323i | ||||
\(485\) | −12.9299 | + | 0.913578i | −0.587117 | + | 0.0414834i | ||||
\(486\) | −27.8345 | + | 20.1954i | −1.26260 | + | 0.916080i | ||||
\(487\) | −1.91036 | − | 7.12957i | −0.0865668 | − | 0.323072i | 0.909040 | − | 0.416710i | \(-0.136817\pi\) |
−0.995606 | + | 0.0936384i | \(0.970150\pi\) | |||||||
\(488\) | 0.378100 | − | 4.32170i | 0.0171158 | − | 0.195634i | ||||
\(489\) | −0.272982 | − | 0.126178i | −0.0123447 | − | 0.00570598i | ||||
\(490\) | 6.75015 | + | 33.8641i | 0.304941 | + | 1.52983i | ||||
\(491\) | 14.5682 | − | 17.3617i | 0.657453 | − | 0.783522i | −0.329565 | − | 0.944133i | \(-0.606902\pi\) |
0.987018 | + | 0.160611i | \(0.0513464\pi\) | |||||||
\(492\) | −25.3552 | + | 44.2594i | −1.14310 | + | 1.99537i | ||||
\(493\) | −5.08351 | − | 0.444750i | −0.228950 | − | 0.0200305i | ||||
\(494\) | −0.723235 | −0.0325399 | ||||||||
\(495\) | −0.285439 | + | 28.5265i | −0.0128295 | + | 1.28217i | ||||
\(496\) | 0.137552 | − | 0.238246i | 0.00617625 | − | 0.0106976i | ||||
\(497\) | 4.60320 | − | 9.27948i | 0.206482 | − | 0.416241i | ||||
\(498\) | −8.66252 | + | 7.31847i | −0.388177 | + | 0.327949i | ||||
\(499\) | −4.78722 | − | 13.1528i | −0.214305 | − | 0.588799i | 0.785232 | − | 0.619201i | \(-0.212543\pi\) |
−0.999538 | + | 0.0304022i | \(0.990321\pi\) | |||||||
\(500\) | −9.43747 | − | 30.6299i | −0.422057 | − | 1.36981i | ||||
\(501\) | 39.6724 | + | 3.33657i | 1.77243 | + | 0.149067i | ||||
\(502\) | 28.9037 | − | 13.4780i | 1.29004 | − | 0.601553i | ||||
\(503\) | 2.38649 | + | 8.90651i | 0.106408 | + | 0.397122i | 0.998501 | − | 0.0547308i | \(-0.0174301\pi\) |
−0.892093 | + | 0.451852i | \(0.850763\pi\) | |||||||
\(504\) | 7.81615 | − | 13.0087i | 0.348159 | − | 0.579454i | ||||
\(505\) | 14.8941 | − | 17.1588i | 0.662777 | − | 0.763556i | ||||
\(506\) | 49.0312 | − | 8.64552i | 2.17970 | − | 0.384340i | ||||
\(507\) | 19.5133 | + | 11.1787i | 0.866615 | + | 0.496464i | ||||
\(508\) | −19.2801 | − | 8.99048i | −0.855418 | − | 0.398888i | ||||
\(509\) | 18.9535 | + | 15.9039i | 0.840100 | + | 0.704928i | 0.957586 | − | 0.288147i | \(-0.0930390\pi\) |
−0.117486 | + | 0.993075i | \(0.537483\pi\) | |||||||
\(510\) | 5.76932 | − | 15.2152i | 0.255470 | − | 0.673739i | ||||
\(511\) | 11.5811 | − | 13.1435i | 0.512319 | − | 0.581433i | ||||
\(512\) | −11.7774 | − | 11.7774i | −0.520490 | − | 0.520490i | ||||
\(513\) | −11.4961 | + | 6.79273i | −0.507565 | + | 0.299906i | ||||
\(514\) | 39.9714 | + | 23.0775i | 1.76306 | + | 1.01790i | ||||
\(515\) | 6.53899 | + | 6.76149i | 0.288142 | + | 0.297947i | ||||
\(516\) | −25.5928 | + | 55.3691i | −1.12666 | + | 2.43749i | ||||
\(517\) | 6.99967 | − | 15.0108i | 0.307845 | − | 0.660176i | ||||
\(518\) | 3.45614 | + | 3.62731i | 0.151854 | + | 0.159375i | ||||
\(519\) | −2.99153 | − | 11.0163i | −0.131314 | − | 0.483563i | ||||
\(520\) | −0.264780 | − | 0.476859i | −0.0116114 | − | 0.0209116i | ||||
\(521\) | 36.8697i | 1.61529i | 0.589668 | + | 0.807646i | \(0.299259\pi\) | ||||
−0.589668 | + | 0.807646i | \(0.700741\pi\) | |||||||
\(522\) | −4.47432 | + | 17.1589i | −0.195836 | + | 0.751026i | ||||
\(523\) | 17.0612 | + | 17.0612i | 0.746034 | + | 0.746034i | 0.973732 | − | 0.227698i | \(-0.0731198\pi\) |
−0.227698 | + | 0.973732i | \(0.573120\pi\) | |||||||
\(524\) | −17.2942 | + | 14.5116i | −0.755502 | + | 0.633942i | ||||
\(525\) | 22.4212 | − | 4.72139i | 0.978540 | − | 0.206058i | ||||
\(526\) | −11.7916 | + | 66.8733i | −0.514137 | + | 2.91581i | ||||
\(527\) | −0.313354 | − | 0.146119i | −0.0136499 | − | 0.00636506i | ||||
\(528\) | 3.78238 | − | 10.5017i | 0.164607 | − | 0.457028i | ||||
\(529\) | 5.08450 | − | 0.896534i | 0.221065 | − | 0.0389797i | ||||
\(530\) | 51.2022 | − | 17.6719i | 2.22408 | − | 0.767618i | ||||
\(531\) | 12.4141 | − | 0.0834458i | 0.538726 | − | 0.00362124i | ||||
\(532\) | 11.5619 | − | 15.6912i | 0.501271 | − | 0.680298i | ||||
\(533\) | −1.18777 | + | 0.553866i | −0.0514480 | + | 0.0239906i | ||||
\(534\) | −44.6281 | − | 44.3291i | −1.93125 | − | 1.91831i | ||||
\(535\) | −9.10698 | − | 0.950500i | −0.393729 | − | 0.0410937i | ||||
\(536\) | −25.4872 | − | 4.49408i | −1.10088 | − | 0.194115i | ||||
\(537\) | −16.3668 | + | 6.01941i | −0.706281 | + | 0.259757i | ||||
\(538\) | 23.8528 | − | 34.0653i | 1.02837 | − | 1.46866i | ||||
\(539\) | 28.4327 | − | 8.81850i | 1.22468 | − | 0.379840i | ||||
\(540\) | −28.7345 | − | 16.8454i | −1.23653 | − | 0.724911i | ||||
\(541\) | −17.1878 | − | 29.7702i | −0.738962 | − | 1.27992i | −0.952963 | − | 0.303087i | \(-0.901983\pi\) |
0.214001 | − | 0.976834i | \(-0.431351\pi\) | |||||||
\(542\) | 16.1156 | + | 34.5600i | 0.692223 | + | 1.48448i | ||||
\(543\) | 4.26914 | − | 1.57011i | 0.183206 | − | 0.0673798i | ||||
\(544\) | −8.77391 | + | 10.4563i | −0.376178 | + | 0.448312i | ||||
\(545\) | 2.53721 | − | 6.62402i | 0.108682 | − | 0.283742i | ||||
\(546\) | 1.17996 | − | 0.520629i | 0.0504977 | − | 0.0222809i | ||||
\(547\) | −29.2636 | + | 13.6459i | −1.25122 | + | 0.583455i | −0.931391 | − | 0.364020i | \(-0.881404\pi\) |
−0.319831 | + | 0.947475i | \(0.603626\pi\) | |||||||
\(548\) | −11.8156 | − | 44.0963i | −0.504736 | − | 1.88370i | ||||
\(549\) | 1.13689 | − | 6.71110i | 0.0485213 | − | 0.286423i | ||||
\(550\) | −43.1529 | + | 18.3913i | −1.84005 | + | 0.784207i | ||||
\(551\) | −2.35495 | + | 6.47018i | −0.100324 | + | 0.275639i | ||||
\(552\) | −5.95544 | + | 16.5351i | −0.253480 | + | 0.703783i | ||||
\(553\) | 24.2428 | − | 23.0988i | 1.03091 | − | 0.982261i | ||||
\(554\) | 6.37048 | − | 36.1288i | 0.270656 | − | 1.53496i | ||||
\(555\) | 2.38204 | − | 2.31919i | 0.101112 | − | 0.0984442i | ||||
\(556\) | 11.3530 | + | 64.3860i | 0.481474 | + | 2.73058i | ||||
\(557\) | 7.38790 | − | 27.5720i | 0.313036 | − | 1.16826i | −0.612769 | − | 0.790262i | \(-0.709944\pi\) |
0.925805 | − | 0.378002i | \(-0.123389\pi\) | |||||||
\(558\) | −0.682506 | + | 0.988800i | −0.0288928 | + | 0.0418593i | ||||
\(559\) | −1.35727 | + | 0.783619i | −0.0574063 | + | 0.0331435i | ||||
\(560\) | −8.89157 | − | 1.14577i | −0.375737 | − | 0.0484176i | ||||
\(561\) | −13.5625 | − | 3.58526i | −0.572611 | − | 0.151370i | ||||
\(562\) | 19.9740 | + | 28.5258i | 0.842551 | + | 1.20329i | ||||
\(563\) | 6.96962 | + | 9.95365i | 0.293735 | + | 0.419496i | 0.938711 | − | 0.344706i | \(-0.112022\pi\) |
−0.644976 | + | 0.764203i | \(0.723133\pi\) | |||||||
\(564\) | 11.1450 | + | 15.8033i | 0.469288 | + | 0.665441i | ||||
\(565\) | −1.49940 | − | 5.99521i | −0.0630801 | − | 0.252220i | ||||
\(566\) | 16.9823i | 0.713820i | ||||||||
\(567\) | 13.8661 | − | 19.3580i | 0.582322 | − | 0.812958i | ||||
\(568\) | −5.29330 | − | 5.29330i | −0.222102 | − | 0.222102i | ||||
\(569\) | 6.95868 | − | 5.83903i | 0.291723 | − | 0.244785i | −0.485166 | − | 0.874422i | \(-0.661241\pi\) |
0.776889 | + | 0.629637i | \(0.216796\pi\) | |||||||
\(570\) | −17.8156 | − | 12.8329i | −0.746213 | − | 0.537510i | ||||
\(571\) | −5.48737 | + | 31.1204i | −0.229639 | + | 1.30235i | 0.623975 | + | 0.781444i | \(0.285517\pi\) |
−0.853614 | + | 0.520905i | \(0.825594\pi\) | |||||||
\(572\) | −1.27403 | + | 0.892084i | −0.0532698 | + | 0.0372999i | ||||
\(573\) | 12.2904 | − | 7.15105i | 0.513439 | − | 0.298740i | ||||
\(574\) | 11.8353 | − | 58.7798i | 0.493996 | − | 2.45342i | ||||
\(575\) | −24.4100 | + | 10.4033i | −1.01797 | + | 0.433846i | ||||
\(576\) | 24.8418 | + | 29.2044i | 1.03508 | + | 1.21685i | ||||
\(577\) | 30.1401 | + | 8.07602i | 1.25475 | + | 0.336209i | 0.824170 | − | 0.566343i | \(-0.191642\pi\) |
0.430580 | + | 0.902552i | \(0.358309\pi\) | |||||||
\(578\) | −24.1660 | − | 16.9213i | −1.00518 | − | 0.703831i | ||||
\(579\) | 8.03250 | + | 17.0757i | 0.333819 | + | 0.709641i | ||||
\(580\) | −16.9619 | + | 2.69912i | −0.704305 | + | 0.112075i | ||||
\(581\) | 4.08922 | − | 6.70335i | 0.169649 | − | 0.278102i | ||||
\(582\) | −20.8394 | − | 7.50569i | −0.863820 | − | 0.311121i | ||||
\(583\) | −19.7350 | − | 42.3218i | −0.817339 | − | 1.75279i | ||||
\(584\) | −6.32987 | − | 10.9637i | −0.261932 | − | 0.453679i | ||||
\(585\) | −0.353898 | − | 0.779198i | −0.0146319 | − | 0.0322159i | ||||
\(586\) | −32.3719 | + | 56.0697i | −1.33727 | + | 2.31622i | ||||
\(587\) | −9.96163 | − | 21.3628i | −0.411161 | − | 0.881737i | −0.997432 | − | 0.0716220i | \(-0.977182\pi\) |
0.586271 | − | 0.810115i | \(-0.300595\pi\) | |||||||
\(588\) | −7.56780 | + | 33.9232i | −0.312091 | + | 1.39897i | ||||
\(589\) | −0.299874 | + | 0.357375i | −0.0123561 | + | 0.0147254i | ||||
\(590\) | 8.31625 | + | 18.6422i | 0.342375 | + | 0.767486i | ||||
\(591\) | −34.6866 | − | 16.0329i | −1.42681 | − | 0.659506i | ||||
\(592\) | −1.17892 | + | 0.549741i | −0.0484535 | + | 0.0225942i | ||||
\(593\) | −15.9873 | − | 4.28377i | −0.656518 | − | 0.175914i | −0.0848440 | − | 0.996394i | \(-0.527039\pi\) |
−0.571674 | + | 0.820481i | \(0.693706\pi\) | |||||||
\(594\) | −20.1556 | + | 44.3869i | −0.826995 | + | 1.82122i | ||||
\(595\) | −0.460563 | + | 11.2578i | −0.0188813 | + | 0.461526i | ||||
\(596\) | 4.59267 | − | 0.809811i | 0.188123 | − | 0.0331711i | ||||
\(597\) | −2.43305 | − | 6.61549i | −0.0995782 | − | 0.270754i | ||||
\(598\) | −1.22345 | + | 0.856672i | −0.0500307 | + | 0.0350319i | ||||
\(599\) | −11.8247 | + | 4.30385i | −0.483146 | + | 0.175851i | −0.572098 | − | 0.820185i | \(-0.693870\pi\) |
0.0889523 | + | 0.996036i | \(0.471648\pi\) | |||||||
\(600\) | 1.93887 | − | 16.4447i | 0.0791542 | − | 0.671354i | ||||
\(601\) | 1.79328 | + | 0.652699i | 0.0731493 | + | 0.0266242i | 0.378336 | − | 0.925668i | \(-0.376497\pi\) |
−0.305186 | + | 0.952293i | \(0.598719\pi\) | |||||||
\(602\) | 7.97307 | − | 71.2581i | 0.324958 | − | 2.90426i | ||||
\(603\) | −39.2928 | − | 10.2459i | −1.60013 | − | 0.417246i | ||||
\(604\) | − | 4.27075i | − | 0.173774i | ||||||
\(605\) | 7.69110 | + | 13.8514i | 0.312688 | + | 0.563139i | ||||
\(606\) | 35.1333 | − | 16.5269i | 1.42719 | − | 0.671359i | ||||
\(607\) | −4.03683 | + | 8.65700i | −0.163850 | + | 0.351377i | −0.971041 | − | 0.238913i | \(-0.923209\pi\) |
0.807191 | + | 0.590290i | \(0.200987\pi\) | |||||||
\(608\) | 10.5640 | + | 15.0870i | 0.428427 | + | 0.611857i | ||||
\(609\) | −0.815516 | − | 12.2514i | −0.0330464 | − | 0.496451i | ||||
\(610\) | 10.8579 | − | 2.71554i | 0.439622 | − | 0.109949i | ||||
\(611\) | 0.496857i | 0.0201007i | ||||||||
\(612\) | 11.5037 | − | 11.6594i | 0.465008 | − | 0.471302i | ||||
\(613\) | 6.25210 | + | 6.25210i | 0.252520 | + | 0.252520i | 0.822003 | − | 0.569483i | \(-0.192857\pi\) |
−0.569483 | + | 0.822003i | \(0.692857\pi\) | |||||||
\(614\) | 10.8358 | + | 61.4526i | 0.437296 | + | 2.48003i | ||||
\(615\) | −39.0863 | − | 7.43196i | −1.57611 | − | 0.299686i | ||||
\(616\) | 0.519714 | − | 21.5070i | 0.0209399 | − | 0.866543i | ||||
\(617\) | −7.77786 | − | 3.62688i | −0.313125 | − | 0.146013i | 0.259702 | − | 0.965689i | \(-0.416376\pi\) |
−0.572827 | + | 0.819676i | \(0.694153\pi\) | |||||||
\(618\) | 5.54815 | + | 15.0855i | 0.223179 | + | 0.606826i | ||||
\(619\) | 2.59150 | − | 7.12010i | 0.104161 | − | 0.286181i | −0.876654 | − | 0.481122i | \(-0.840229\pi\) |
0.980815 | + | 0.194941i | \(0.0624516\pi\) | |||||||
\(620\) | −1.14249 | − | 0.221217i | −0.0458835 | − | 0.00888430i | ||||
\(621\) | −11.4013 | + | 25.1080i | −0.457517 | + | 1.00755i | ||||
\(622\) | −42.6485 | + | 42.6485i | −1.71005 | + | 1.71005i | ||||
\(623\) | 39.0181 | + | 19.3554i | 1.56323 | + | 0.775458i | ||||
\(624\) | 0.0303048 | + | 0.333473i | 0.00121316 | + | 0.0133496i | ||||
\(625\) | 20.1827 | − | 14.7533i | 0.807307 | − | 0.590131i | ||||
\(626\) | −14.7936 | − | 40.6451i | −0.591271 | − | 1.62450i | ||||
\(627\) | −9.40918 | + | 16.4244i | −0.375767 | + | 0.655928i | ||||
\(628\) | 14.6055 | − | 20.8588i | 0.582822 | − | 0.832357i | ||||
\(629\) | 0.817417 | + | 1.41581i | 0.0325925 | + | 0.0564519i | ||||
\(630\) | 38.3042 | + | 8.11215i | 1.52607 | + | 0.323196i | ||||
\(631\) | −19.1622 | + | 33.1899i | −0.762836 | + | 1.32127i | 0.178547 | + | 0.983931i | \(0.442860\pi\) |
−0.941383 | + | 0.337339i | \(0.890473\pi\) | |||||||
\(632\) | −10.2270 | − | 21.9319i | −0.406808 | − | 0.872403i | ||||
\(633\) | 12.3158 | − | 10.4049i | 0.489510 | − | 0.413559i | ||||
\(634\) | 11.5021 | − | 13.7077i | 0.456808 | − | 0.544403i | ||||
\(635\) | 1.72250 | − | 16.5037i | 0.0683555 | − | 0.654931i | ||||
\(636\) | 54.3299 | + | 4.56931i | 2.15432 | + | 0.181185i | ||||
\(637\) | −0.661229 | + | 0.600227i | −0.0261988 | + | 0.0237819i | ||||
\(638\) | 6.50599 | + | 24.2807i | 0.257575 | + | 0.961282i | ||||
\(639\) | −7.61011 | − | 8.94656i | −0.301051 | − | 0.353920i | ||||
\(640\) | −13.5657 | + | 27.8650i | −0.536229 | + | 1.10146i | ||||
\(641\) | −13.0508 | − | 15.5533i | −0.515475 | − | 0.614319i | 0.444030 | − | 0.896012i | \(-0.353549\pi\) |
−0.959505 | + | 0.281693i | \(0.909104\pi\) | |||||||
\(642\) | −13.5766 | − | 7.77773i | −0.535825 | − | 0.306962i | ||||
\(643\) | 2.52694 | + | 28.8830i | 0.0996527 | + | 1.13904i | 0.867172 | + | 0.498009i | \(0.165936\pi\) |
−0.767519 | + | 0.641026i | \(0.778509\pi\) | |||||||
\(644\) | 0.972366 | − | 40.2389i | 0.0383166 | − | 1.58563i | ||||
\(645\) | −47.3382 | − | 4.77993i | −1.86394 | − | 0.188210i | ||||
\(646\) | 8.27087 | − | 6.94009i | 0.325413 | − | 0.273054i | ||||
\(647\) | 21.4052 | − | 5.73550i | 0.841524 | − | 0.225486i | 0.187789 | − | 0.982209i | \(-0.439868\pi\) |
0.653735 | + | 0.756724i | \(0.273201\pi\) | |||||||
\(648\) | −10.0588 | − | 13.9622i | −0.395149 | − | 0.548487i | ||||
\(649\) | 15.2405 | − | 8.79910i | 0.598241 | − | 0.345395i | ||||
\(650\) | 0.940078 | − | 1.04711i | 0.0368729 | − | 0.0410712i | ||||
\(651\) | 0.231985 | − | 0.798927i | 0.00909219 | − | 0.0313124i | ||||
\(652\) | 0.210355 | − | 0.451107i | 0.00823812 | − | 0.0176667i | ||||
\(653\) | 10.4866 | + | 14.9764i | 0.410372 | + | 0.586072i | 0.970130 | − | 0.242584i | \(-0.0779949\pi\) |
−0.559758 | + | 0.828656i | \(0.689106\pi\) | |||||||
\(654\) | 8.54207 | − | 8.59969i | 0.334022 | − | 0.336274i | ||||
\(655\) | −15.1009 | − | 9.05862i | −0.590041 | − | 0.353950i | ||||
\(656\) | 13.4816 | + | 7.78361i | 0.526368 | + | 0.303899i | ||||
\(657\) | −8.51542 | − | 17.9454i | −0.332218 | − | 0.700118i | ||||
\(658\) | −18.3003 | − | 13.4844i | −0.713420 | − | 0.525677i | ||||
\(659\) | 31.4861 | − | 26.4200i | 1.22653 | − | 1.02918i | 0.228068 | − | 0.973645i | \(-0.426759\pi\) |
0.998457 | − | 0.0555315i | \(-0.0176853\pi\) | |||||||
\(660\) | −47.2123 | − | 0.631107i | −1.83774 | − | 0.0245658i | ||||
\(661\) | 10.0061 | + | 8.39609i | 0.389191 | + | 0.326570i | 0.816298 | − | 0.577631i | \(-0.196023\pi\) |
−0.427107 | + | 0.904201i | \(0.640467\pi\) | |||||||
\(662\) | −2.34640 | − | 26.8195i | −0.0911955 | − | 1.04237i | ||||
\(663\) | 0.414193 | − | 0.0744696i | 0.0160859 | − | 0.00289216i | ||||
\(664\) | −3.64756 | − | 4.34699i | −0.141553 | − | 0.168696i | ||||
\(665\) | 14.5119 | + | 4.53180i | 0.562746 | + | 0.175736i | ||||
\(666\) | 5.32526 | − | 1.97887i | 0.206350 | − | 0.0766798i | ||||
\(667\) | 3.68019 | + | 13.7347i | 0.142498 | + | 0.531809i | ||||
\(668\) | −5.74299 | + | 65.6427i | −0.222203 | + | 2.53979i | ||||
\(669\) | 25.7062 | − | 6.98063i | 0.993858 | − | 0.269887i | ||||
\(670\) | −10.4929 | − | 65.9401i | −0.405378 | − | 2.54749i | ||||
\(671\) | −3.30014 | − | 9.06706i | −0.127400 | − | 0.350030i | ||||
\(672\) | −28.0957 | − | 17.0098i | −1.08382 | − | 0.656168i | ||||
\(673\) | 16.7885 | − | 23.9765i | 0.647149 | − | 0.924225i | −0.352785 | − | 0.935705i | \(-0.614765\pi\) |
0.999934 | + | 0.0114794i | \(0.00365410\pi\) | |||||||
\(674\) | 34.1398 | + | 59.1318i | 1.31502 | + | 2.27767i | ||||
\(675\) | 5.10823 | − | 25.4736i | 0.196616 | − | 0.980481i | ||||
\(676\) | −18.6103 | + | 32.2340i | −0.715781 | + | 1.23977i | ||||
\(677\) | −13.4647 | − | 1.17801i | −0.517492 | − | 0.0452747i | −0.174581 | − | 0.984643i | \(-0.555857\pi\) |
−0.342911 | + | 0.939368i | \(0.611413\pi\) | |||||||
\(678\) | 1.79880 | − | 10.4059i | 0.0690825 | − | 0.399636i | ||||
\(679\) | 15.3325 | + | 0.370508i | 0.588409 | + | 0.0142188i | ||||
\(680\) | 7.60389 | + | 2.91253i | 0.291596 | + | 0.111690i | ||||
\(681\) | −31.4390 | − | 31.2284i | −1.20475 | − | 1.19668i | ||||
\(682\) | −0.148441 | + | 1.69669i | −0.00568409 | + | 0.0649695i | ||||
\(683\) | 0.714300 | − | 0.714300i | 0.0273319 | − | 0.0273319i | −0.693309 | − | 0.720641i | \(-0.743848\pi\) |
0.720641 | + | 0.693309i | \(0.243848\pi\) | |||||||
\(684\) | −11.1786 | − | 19.0648i | −0.427425 | − | 0.728962i | ||||
\(685\) | 29.5067 | − | 19.9337i | 1.12739 | − | 0.761627i | ||||
\(686\) | −4.16231 | − | 40.6443i | −0.158918 | − | 1.55181i | ||||
\(687\) | −5.73186 | + | 1.03056i | −0.218684 | + | 0.0393182i | ||||
\(688\) | 16.8719 | + | 7.86751i | 0.643236 | + | 0.299946i | ||||
\(689\) | 1.07311 | + | 0.900446i | 0.0408822 | + | 0.0343043i | ||||
\(690\) | −45.3381 | − | 0.606055i | −1.72599 | − | 0.0230721i | ||||
\(691\) | 7.75384 | + | 2.82217i | 0.294970 | + | 0.107360i | 0.485266 | − | 0.874366i | \(-0.338723\pi\) |
−0.190296 | + | 0.981727i | \(0.560945\pi\) | |||||||
\(692\) | 18.2496 | − | 4.88997i | 0.693747 | − | 0.185889i | ||||
\(693\) | 3.52783 | − | 33.5698i | 0.134011 | − | 1.27521i | ||||
\(694\) | 58.9735 | − | 34.0484i | 2.23861 | − | 1.29246i | ||||
\(695\) | −44.5846 | + | 24.7560i | −1.69119 | + | 0.939048i | ||||
\(696\) | −8.57872 | − | 2.26779i | −0.325176 | − | 0.0859602i | ||||
\(697\) | 8.26843 | − | 17.7317i | 0.313189 | − | 0.671636i | ||||
\(698\) | −51.0770 | + | 4.46866i | −1.93329 | + | 0.169141i | ||||
\(699\) | 19.2594 | + | 27.3094i | 0.728457 | + | 1.03294i | ||||
\(700\) | 7.68960 | + | 37.1353i | 0.290640 | + | 1.40358i | ||||
\(701\) | 25.3011i | 0.955610i | 0.878466 | + | 0.477805i | \(0.158567\pi\) | ||||
−0.878466 | + | 0.477805i | \(0.841433\pi\) | |||||||
\(702\) | −0.0147446 | − | 1.46233i | −0.000556498 | − | 0.0551919i | ||||
\(703\) | 2.13073 | − | 0.570928i | 0.0803620 | − | 0.0215329i | ||||
\(704\) | 51.0728 | + | 18.5890i | 1.92488 | + | 0.700598i | ||||
\(705\) | −8.81609 | + | 12.2392i | −0.332033 | + | 0.460954i | ||||
\(706\) | 30.2757 | − | 11.0194i | 1.13944 | − | 0.414722i | ||||
\(707\) | −19.4637 | + | 18.5452i | −0.732007 | + | 0.697464i | ||||
\(708\) | 0.0690559 | + | 20.5469i | 0.00259528 | + | 0.772201i | ||||
\(709\) | 28.5545 | − | 5.03493i | 1.07239 | − | 0.189091i | 0.390540 | − | 0.920586i | \(-0.372288\pi\) |
0.681847 | + | 0.731495i | \(0.261177\pi\) | |||||||
\(710\) | 8.45367 | − | 17.3646i | 0.317260 | − | 0.651680i | ||||
\(711\) | −13.2256 | − | 35.5909i | −0.496000 | − | 1.33476i | ||||
\(712\) | 22.2571 | − | 22.2571i | 0.834121 | − | 0.834121i | ||||
\(713\) | −0.0839673 | + | 0.959751i | −0.00314460 | + | 0.0359430i | ||||
\(714\) | −8.49807 | + | 17.2767i | −0.318032 | + | 0.646563i | ||||
\(715\) | −0.981978 | − | 0.712360i | −0.0367239 | − | 0.0266408i | ||||
\(716\) | −9.87161 | − | 27.1220i | −0.368920 | − | 1.01360i | ||||
\(717\) | 8.51275 | + | 47.3472i | 0.317915 | + | 1.76821i | ||||
\(718\) | 29.1833 | − | 41.6781i | 1.08911 | − | 1.55541i | ||||
\(719\) | −7.37478 | −0.275033 | −0.137516 | − | 0.990499i | \(-0.543912\pi\) | ||||
−0.137516 | + | 0.990499i | \(0.543912\pi\) | |||||||
\(720\) | −5.17056 | + | 8.75224i | −0.192695 | + | 0.326177i | ||||
\(721\) | −6.94588 | − | 8.69606i | −0.258678 | − | 0.323858i | ||||
\(722\) | 11.5573 | + | 24.7847i | 0.430118 | + | 0.922392i | ||||
\(723\) | −13.2117 | + | 23.0621i | −0.491350 | + | 0.857687i | ||||
\(724\) | 2.57492 | + | 7.07454i | 0.0956962 | + | 0.262923i | ||||
\(725\) | −6.30664 | − | 11.8196i | −0.234223 | − | 0.438971i | ||||
\(726\) | 2.45023 | + | 26.9623i | 0.0909366 | + | 1.00066i | ||||
\(727\) | 29.2018 | + | 20.4474i | 1.08304 | + | 0.758350i | 0.971886 | − | 0.235453i | \(-0.0756575\pi\) |
0.111151 | + | 0.993804i | \(0.464546\pi\) | |||||||
\(728\) | 0.258536 | + | 0.591323i | 0.00958198 | + | 0.0219159i | ||||
\(729\) | −13.9687 | − | 23.1057i | −0.517361 | − | 0.855767i | ||||
\(730\) | 21.4098 | − | 24.6653i | 0.792414 | − | 0.912905i | ||||
\(731\) | 8.00211 | − | 21.9856i | 0.295969 | − | 0.813167i | ||||
\(732\) | 11.1011 | + | 1.91898i | 0.410310 | + | 0.0709277i | ||||
\(733\) | 2.38973 | + | 27.3148i | 0.0882668 | + | 1.00889i | 0.903166 | + | 0.429292i | \(0.141237\pi\) |
−0.814899 | + | 0.579603i | \(0.803208\pi\) | |||||||
\(734\) | −15.0696 | − | 12.6449i | −0.556229 | − | 0.466732i | ||||
\(735\) | −26.9384 | + | 3.05287i | −0.993640 | + | 0.112607i | ||||
\(736\) | 35.7410 | + | 13.0087i | 1.31743 | + | 0.479505i | ||||
\(737\) | −55.6012 | + | 14.8983i | −2.04810 | + | 0.548786i | ||||
\(738\) | −55.9531 | − | 38.6209i | −2.05966 | − | 1.42165i | ||||
\(739\) | −28.1617 | + | 16.2592i | −1.03595 | + | 0.598103i | −0.918682 | − | 0.394997i | \(-0.870745\pi\) |
−0.117263 | + | 0.993101i | \(0.537412\pi\) | |||||||
\(740\) | 3.82522 | + | 3.95538i | 0.140618 | + | 0.145403i | ||||
\(741\) | 0.0475886 | − | 0.565837i | 0.00174821 | − | 0.0207866i | ||||
\(742\) | −62.2890 | + | 15.0874i | −2.28670 | + | 0.553875i | ||||
\(743\) | −18.1794 | − | 25.9629i | −0.666939 | − | 0.952487i | −0.999954 | − | 0.00956573i | \(-0.996955\pi\) |
0.333016 | − | 0.942921i | \(-0.391934\pi\) | |||||||
\(744\) | −0.493643 | − | 0.343186i | −0.0180978 | − | 0.0125818i | ||||
\(745\) | 1.76585 | + | 3.18023i | 0.0646957 | + | 0.116515i | ||||
\(746\) | 4.91949 | − | 2.84027i | 0.180115 | − | 0.103990i | ||||
\(747\) | −5.15576 | − | 7.25885i | −0.188639 | − | 0.265588i | ||||
\(748\) | 6.00937 | − | 22.4273i | 0.219724 | − | 0.820022i | ||||
\(749\) | 10.6209 | + | 2.13852i | 0.388079 | + | 0.0781397i | ||||
\(750\) | 41.7369 | − | 9.11332i | 1.52401 | − | 0.332771i | ||||
\(751\) | −1.60367 | + | 9.09488i | −0.0585188 | + | 0.331877i | −0.999986 | − | 0.00522694i | \(-0.998336\pi\) |
0.941468 | + | 0.337104i | \(0.109447\pi\) | |||||||
\(752\) | 4.83448 | − | 3.38514i | 0.176295 | − | 0.123443i | ||||
\(753\) | 8.64294 | + | 23.5002i | 0.314966 | + | 0.856396i | ||||
\(754\) | −0.484716 | − | 0.577662i | −0.0176523 | − | 0.0210372i | ||||
\(755\) | 3.14895 | − | 1.08683i | 0.114602 | − | 0.0395537i | ||||
\(756\) | 31.9620 | + | 23.0573i | 1.16245 | + | 0.838587i | ||||
\(757\) | −26.4769 | + | 26.4769i | −0.962320 | + | 0.962320i | −0.999315 | − | 0.0369950i | \(-0.988221\pi\) |
0.0369950 | + | 0.999315i | \(0.488221\pi\) | |||||||
\(758\) | −1.81135 | + | 20.7038i | −0.0657912 | + | 0.751997i | ||||
\(759\) | 3.53776 | + | 38.9294i | 0.128412 | + | 1.41305i | ||||
\(760\) | 6.45147 | − | 8.89326i | 0.234020 | − | 0.322592i | ||||
\(761\) | 44.4159 | + | 7.83173i | 1.61008 | + | 0.283900i | 0.905058 | − | 0.425289i | \(-0.139827\pi\) |
0.705019 | + | 0.709189i | \(0.250938\pi\) | |||||||
\(762\) | 14.0949 | − | 24.6036i | 0.510603 | − | 0.891295i | ||||
\(763\) | −3.72973 | + | 7.51866i | −0.135025 | + | 0.272194i | ||||
\(764\) | 11.7673 | + | 20.3815i | 0.425725 | + | 0.737377i | ||||
\(765\) | 11.5243 | + | 5.51490i | 0.416661 | + | 0.199392i | ||||
\(766\) | 3.25249 | + | 5.63347i | 0.117517 | + | 0.203546i | ||||
\(767\) | −0.302804 | + | 0.432449i | −0.0109336 | + | 0.0156148i | ||||
\(768\) | −6.63568 | + | 5.60611i | −0.239444 | + | 0.202293i | ||||
\(769\) | −28.3491 | − | 4.99871i | −1.02230 | − | 0.180258i | −0.362721 | − | 0.931898i | \(-0.618152\pi\) |
−0.659574 | + | 0.751640i | \(0.729263\pi\) | |||||||
\(770\) | 52.8881 | − | 16.8353i | 1.90595 | − | 0.606703i | ||||
\(771\) | −20.6852 | + | 29.7539i | −0.744960 | + | 1.07156i | ||||
\(772\) | −28.3065 | + | 13.1995i | −1.01877 | + | 0.475061i | ||||
\(773\) | 1.61342 | + | 0.432314i | 0.0580306 | + | 0.0155492i | 0.287718 | − | 0.957715i | \(-0.407104\pi\) |
−0.229687 | + | 0.973265i | \(0.573770\pi\) | |||||||
\(774\) | −70.6823 | − | 40.1774i | −2.54062 | − | 1.44415i | ||||
\(775\) | −0.127633 | − | 0.898688i | −0.00458471 | − | 0.0322818i | ||||
\(776\) | 3.79086 | − | 10.4153i | 0.136084 | − | 0.373887i | ||||
\(777\) | −3.06531 | + | 2.46530i | −0.109967 | + | 0.0884422i | ||||
\(778\) | −1.42820 | − | 16.3244i | −0.0512033 | − | 0.585257i | ||||
\(779\) | −20.2227 | − | 16.9689i | −0.724555 | − | 0.607974i | ||||
\(780\) | 1.29161 | − | 0.581399i | 0.0462471 | − | 0.0208174i | ||||
\(781\) | −15.6458 | − | 5.69459i | −0.559849 | − | 0.203769i | ||||
\(782\) | 5.77082 | − | 21.5370i | 0.206364 | − | 0.770161i | ||||
\(783\) | −13.1302 | − | 4.62963i | −0.469236 | − | 0.165449i | ||||
\(784\) | 10.3453 | + | 2.34443i | 0.369476 | + | 0.0837295i | ||||
\(785\) | 19.0967 | + | 5.46088i | 0.681589 | + | 0.194907i | ||||
\(786\) | −17.3424 | − | 24.5912i | −0.618584 | − | 0.877140i | ||||
\(787\) | −25.6834 | − | 36.6797i | −0.915515 | − | 1.30749i | −0.951343 | − | 0.308132i | \(-0.900296\pi\) |
0.0358289 | − | 0.999358i | \(-0.488593\pi\) | |||||||
\(788\) | 26.7288 | − | 57.3202i | 0.952175 | − | 2.04195i | ||||
\(789\) | −51.5438 | − | 13.6256i | −1.83501 | − | 0.485085i | ||||
\(790\) | 44.8785 | − | 43.4016i | 1.59670 | − | 1.54416i | ||||
\(791\) | 1.09540 | + | 7.22960i | 0.0389481 | + | 0.257055i | ||||
\(792\) | −22.1771 | − | 10.1604i | −0.788028 | − | 0.361035i | ||||
\(793\) | 0.204676 | + | 0.204676i | 0.00726827 | + | 0.00726827i | ||||
\(794\) | 8.35138 | + | 47.3631i | 0.296380 | + | 1.68085i | ||||
\(795\) | 10.4569 | + | 41.2219i | 0.370867 | + | 1.46199i | ||||
\(796\) | 10.9628 | − | 3.99012i | 0.388565 | − | 0.141426i | ||||
\(797\) | −5.56190 | + | 3.89448i | −0.197013 | + | 0.137950i | −0.667920 | − | 0.744233i | \(-0.732815\pi\) |
0.470908 | + | 0.882182i | \(0.343926\pi\) | |||||||
\(798\) | 19.5495 | + | 17.1093i | 0.692044 | + | 0.605662i | ||||
\(799\) | −4.76779 | − | 5.68203i | −0.168672 | − | 0.201016i | ||||
\(800\) | −35.5745 | − | 4.31560i | −1.25775 | − | 0.152579i | ||||
\(801\) | 37.6183 | − | 31.9988i | 1.32918 | − | 1.13062i | ||||
\(802\) | −5.97065 | + | 5.97065i | −0.210831 | + | 0.210831i | ||||
\(803\) | −23.0653 | − | 16.1505i | −0.813957 | − | 0.569938i | ||||
\(804\) | 17.1765 | − | 64.9761i | 0.605767 | − | 2.29153i | ||||
\(805\) | 29.9168 | − | 9.52310i | 1.05443 | − | 0.335645i | ||||
\(806\) | −0.0174748 | − | 0.0480115i | −0.000615522 | − | 0.00169113i | ||||
\(807\) | 25.0822 | + | 20.9032i | 0.882934 | + | 0.735827i | ||||
\(808\) | 8.21089 | + | 17.6083i | 0.288858 | + | 0.619459i | ||||
\(809\) | 1.18960 | − | 2.06045i | 0.0418241 | − | 0.0724415i | −0.844356 | − | 0.535783i | \(-0.820016\pi\) |
0.886180 | + | 0.463342i | \(0.153350\pi\) | |||||||
\(810\) | 25.5839 | − | 36.2834i | 0.898926 | − | 1.27487i | ||||
\(811\) | 34.7681 | 1.22087 | 0.610436 | − | 0.792065i | \(-0.290994\pi\) | ||||
0.610436 | + | 0.792065i | \(0.290994\pi\) | |||||||
\(812\) | 20.2817 | − | 1.28160i | 0.711747 | − | 0.0449755i | ||||
\(813\) | −28.0991 | + | 10.3343i | −0.985478 | + | 0.362440i | ||||
\(814\) | 5.17653 | − | 6.16915i | 0.181437 | − | 0.216229i | ||||
\(815\) | 0.386146 | + | 0.0403023i | 0.0135261 | + | 0.00141173i | ||||
\(816\) | −3.54654 | − | 3.52278i | −0.124154 | − | 0.123322i | ||||
\(817\) | −25.8600 | − | 18.1074i | −0.904727 | − | 0.633497i | ||||
\(818\) | 48.9843 | + | 13.1253i | 1.71269 | + | 0.458915i | ||||
\(819\) | 0.329683 | + | 0.957424i | 0.0115201 | + | 0.0334551i | ||||
\(820\) | 12.5180 | − | 64.6499i | 0.437147 | − | 2.25767i | ||||
\(821\) | 0.124677 | − | 0.342546i | 0.00435125 | − | 0.0119550i | −0.937498 | − | 0.347991i | \(-0.886864\pi\) |
0.941849 | + | 0.336036i | \(0.109086\pi\) | |||||||
\(822\) | 59.8886 | − | 10.7676i | 2.08886 | − | 0.375564i | ||||
\(823\) | −0.602540 | − | 6.88707i | −0.0210032 | − | 0.240068i | −0.999438 | − | 0.0335133i | \(-0.989330\pi\) |
0.978435 | − | 0.206555i | \(-0.0662252\pi\) | |||||||
\(824\) | −7.55802 | + | 2.75089i | −0.263296 | + | 0.0958320i | ||||
\(825\) | −11.5493 | − | 34.9717i | −0.402096 | − | 1.21756i | ||||
\(826\) | −7.71011 | − | 22.8893i | −0.268269 | − | 0.796422i | ||||
\(827\) | 14.5273 | − | 3.89257i | 0.505162 | − | 0.135358i | 0.00276736 | − | 0.999996i | \(-0.499119\pi\) |
0.502395 | + | 0.864638i | \(0.332452\pi\) | |||||||
\(828\) | −41.4925 | − | 19.0098i | −1.44196 | − | 0.660636i | ||||
\(829\) | − | 20.0583i | − | 0.696653i | −0.937373 | − | 0.348327i | \(-0.886750\pi\) | ||
0.937373 | − | 0.348327i | \(-0.113250\pi\) | |||||||
\(830\) | 7.53110 | − | 12.5545i | 0.261408 | − | 0.435772i | ||||
\(831\) | 27.8469 | + | 7.36133i | 0.965998 | + | 0.255362i | ||||
\(832\) | −1.62424 | + | 0.142103i | −0.0563104 | + | 0.00492652i | ||||
\(833\) | 1.80205 | − | 13.2092i | 0.0624375 | − | 0.457673i | ||||
\(834\) | −86.7857 | + | 7.88676i | −3.00514 | + | 0.273096i | ||||
\(835\) | −49.8618 | + | 12.4704i | −1.72554 | + | 0.431556i | ||||
\(836\) | −27.1315 | − | 15.6644i | −0.938364 | − | 0.541765i | ||||
\(837\) | −0.728699 | − | 0.599035i | −0.0251875 | − | 0.0207057i | ||||
\(838\) | −17.0206 | + | 63.5218i | −0.587968 | + | 2.19433i | ||||
\(839\) | 4.67340 | + | 26.5041i | 0.161344 | + | 0.915025i | 0.952755 | + | 0.303741i | \(0.0982356\pi\) |
−0.791411 | + | 0.611284i | \(0.790653\pi\) | |||||||
\(840\) | −4.12370 | + | 19.1536i | −0.142281 | + | 0.660861i | ||||
\(841\) | 20.5049 | − | 7.46318i | 0.707066 | − | 0.257351i | ||||
\(842\) | 32.4316 | − | 22.7089i | 1.11767 | − | 0.782600i | ||||
\(843\) | −23.6320 | + | 13.7500i | −0.813929 | + | 0.473577i | ||||
\(844\) | 17.1526 | + | 20.4417i | 0.590417 | + | 0.703631i | ||||
\(845\) | −28.5031 | − | 5.51897i | −0.980536 | − | 0.189859i | ||||
\(846\) | −22.2350 | + | 13.0374i | −0.764454 | + | 0.448236i | ||||
\(847\) | −7.50973 | − | 17.1762i | −0.258037 | − | 0.590183i | ||||
\(848\) | 1.45024 | − | 16.5763i | 0.0498015 | − | 0.569234i | ||||
\(849\) | −13.2864 | − | 1.11743i | −0.455990 | − | 0.0383501i | ||||
\(850\) | −0.702672 | + | 20.9956i | −0.0241014 | + | 0.720144i | ||||
\(851\) | 2.92817 | − | 3.48965i | 0.100376 | − | 0.119624i | ||||
\(852\) | 14.8497 | − | 12.5456i | 0.508742 | − | 0.429807i | ||||
\(853\) | −15.1332 | − | 1.32398i | −0.518151 | − | 0.0453323i | −0.174919 | − | 0.984583i | \(-0.555966\pi\) |
−0.343232 | + | 0.939251i | \(0.611522\pi\) | |||||||
\(854\) | −13.0935 | + | 1.98388i | −0.448049 | + | 0.0678869i | ||||
\(855\) | 11.2123 | − | 13.0940i | 0.383453 | − | 0.447805i | ||||
\(856\) | 3.91477 | − | 6.78058i | 0.133804 | − | 0.231755i | ||||
\(857\) | 15.3912 | + | 1.34656i | 0.525753 | + | 0.0459975i | 0.346943 | − | 0.937886i | \(-0.387220\pi\) |
0.178810 | + | 0.983884i | \(0.442775\pi\) | |||||||
\(858\) | −1.04255 | − | 1.79182i | −0.0355921 | − | 0.0611716i | ||||
\(859\) | 26.2215 | + | 4.62355i | 0.894664 | + | 0.157753i | 0.602032 | − | 0.798472i | \(-0.294358\pi\) |
0.292632 | + | 0.956225i | \(0.405469\pi\) | |||||||
\(860\) | 8.17454 | − | 78.3223i | 0.278749 | − | 2.67077i | ||||
\(861\) | 45.2088 | + | 13.1273i | 1.54071 | + | 0.447376i | ||||
\(862\) | 32.2291 | + | 22.5670i | 1.09773 | + | 0.768636i | ||||
\(863\) | 19.4925 | + | 5.22300i | 0.663532 | + | 0.177793i | 0.574840 | − | 0.818266i | \(-0.305064\pi\) |
0.0886927 | + | 0.996059i | \(0.471731\pi\) | |||||||
\(864\) | −30.2893 | + | 21.6672i | −1.03046 | + | 0.737132i | ||||
\(865\) | 8.24972 | + | 12.2116i | 0.280499 | + | 0.415207i | ||||
\(866\) | −48.6974 | − | 58.0353i | −1.65481 | − | 1.97212i | ||||
\(867\) | 14.8288 | − | 17.7934i | 0.503612 | − | 0.604295i | ||||
\(868\) | 1.32101 | + | 0.388399i | 0.0448379 | + | 0.0131831i | ||||
\(869\) | −41.2310 | − | 34.5969i | −1.39867 | − | 1.17362i | ||||
\(870\) | −1.69023 | − | 22.8303i | −0.0573043 | − | 0.774020i | ||||
\(871\) | 1.32281 | − | 1.10997i | 0.0448216 | − | 0.0376098i | ||||
\(872\) | 4.28888 | + | 4.28888i | 0.145240 | + | 0.145240i | ||||
\(873\) | 7.24345 | − | 15.8102i | 0.245154 | − | 0.535095i | ||||
\(874\) | −26.0545 | − | 15.0426i | −0.881307 | − | 0.508823i | ||||
\(875\) | −25.4241 | + | 15.1200i | −0.859491 | + | 0.511150i | ||||
\(876\) | 29.7487 | − | 13.9940i | 1.00511 | − | 0.472812i | ||||
\(877\) | 21.4280 | − | 45.9525i | 0.723573 | − | 1.55171i | −0.106664 | − | 0.994295i | \(-0.534017\pi\) |
0.830237 | − | 0.557411i | \(-0.188205\pi\) | |||||||
\(878\) | 3.24965 | − | 0.284308i | 0.109670 | − | 0.00959492i | ||||
\(879\) | −41.7372 | − | 29.0161i | −1.40776 | − | 0.978690i | ||||
\(880\) | −0.241035 | + | 14.4082i | −0.00812530 | + | 0.485699i | ||||
\(881\) | −0.590192 | − | 0.340747i | −0.0198841 | − | 0.0114801i | 0.490025 | − | 0.871708i | \(-0.336988\pi\) |
−0.509909 | + | 0.860228i | \(0.670321\pi\) | |||||||
\(882\) | −44.2114 | − | 13.8410i | −1.48868 | − | 0.466050i | ||||
\(883\) | −8.29706 | + | 30.9651i | −0.279218 | + | 1.04206i | 0.673743 | + | 0.738966i | \(0.264685\pi\) |
−0.952961 | + | 0.303091i | \(0.901981\pi\) | |||||||
\(884\) | 0.120950 | + | 0.685940i | 0.00406798 | + | 0.0230707i | ||||
\(885\) | −15.1323 | + | 5.27973i | −0.508666 | + | 0.177476i | ||||
\(886\) | −0.429676 | + | 0.156389i | −0.0144352 | + | 0.00525400i | ||||
\(887\) | 2.47045 | + | 28.2374i | 0.0829497 | + | 0.948119i | 0.917643 | + | 0.397405i | \(0.130089\pi\) |
−0.834694 | + | 0.550714i | \(0.814355\pi\) | |||||||
\(888\) | 0.981263 | + | 2.66806i | 0.0329290 | + | 0.0895343i | ||||
\(889\) | −3.87544 | + | 19.2473i | −0.129978 | + | 0.645533i | ||||
\(890\) | 73.0141 | + | 35.5458i | 2.44744 | + | 1.19150i | ||||
\(891\) | −33.4007 | − | 18.6898i | −1.11897 | − | 0.626132i | ||||
\(892\) | 11.4106 | + | 42.5848i | 0.382054 | + | 1.42585i | ||||
\(893\) | −9.07060 | + | 4.22969i | −0.303536 | + | 0.141541i | ||||
\(894\) | 0.562564 | + | 6.19044i | 0.0188150 | + | 0.207039i | ||||
\(895\) | 17.4857 | − | 14.1807i | 0.584484 | − | 0.474009i | ||||
\(896\) | 19.0968 | − | 31.3049i | 0.637978 | − | 1.04582i | ||||
\(897\) | −0.589731 | − | 1.01356i | −0.0196906 | − | 0.0338419i | ||||
\(898\) | 20.0466 | − | 28.6295i | 0.668964 | − | 0.955380i | ||||
\(899\) | −0.486419 | −0.0162230 | ||||||||
\(900\) | 42.1327 | + | 8.59628i | 1.40442 | + | 0.286543i | ||||
\(901\) | −20.9126 | −0.696700 | ||||||||
\(902\) | −96.0101 | − | 8.39979i | −3.19679 | − | 0.279683i | ||||
\(903\) | 55.2255 | + | 10.9266i | 1.83779 | + | 0.363616i | ||||
\(904\) | 5.20403 | + | 0.917611i | 0.173083 | + | 0.0305193i | ||||
\(905\) | −4.56100 | + | 3.69891i | −0.151613 | + | 0.122956i | ||||
\(906\) | 5.67241 | + | 0.477067i | 0.188453 | + | 0.0158495i | ||||
\(907\) | −22.0277 | − | 15.4240i | −0.731419 | − | 0.512145i | 0.147532 | − | 0.989057i | \(-0.452867\pi\) |
−0.878951 | + | 0.476912i | \(0.841756\pi\) | |||||||
\(908\) | 51.8607 | − | 51.8607i | 1.72106 | − | 1.72106i | ||||
\(909\) | 10.6184 | + | 28.5747i | 0.352190 | + | 0.947763i | ||||
\(910\) | −1.22448 | + | 1.12823i | −0.0405913 | + | 0.0374006i | ||||
\(911\) | −13.4026 | + | 36.8233i | −0.444047 | + | 1.22001i | 0.492761 | + | 0.870165i | \(0.335988\pi\) |
−0.936808 | + | 0.349844i | \(0.886234\pi\) | |||||||
\(912\) | −5.82990 | + | 3.39207i | −0.193047 | + | 0.112323i | ||||
\(913\) | −11.4388 | − | 5.33400i | −0.378569 | − | 0.176530i | ||||
\(914\) | −16.1489 | + | 91.5848i | −0.534157 | + | 3.02935i | ||||
\(915\) | 1.41012 | + | 8.67356i | 0.0466170 | + | 0.286739i | ||||
\(916\) | −1.67378 | − | 9.49247i | −0.0553032 | − | 0.313640i | ||||
\(917\) | 16.7741 | + | 12.3598i | 0.553929 | + | 0.408157i | ||||
\(918\) | 14.2009 | + | 16.5816i | 0.468701 | + | 0.547274i | ||||
\(919\) | 9.23068 | − | 5.32934i | 0.304492 | − | 0.175799i | −0.339967 | − | 0.940437i | \(-0.610416\pi\) |
0.644459 | + | 0.764639i | \(0.277083\pi\) | |||||||
\(920\) | 0.379515 | − | 22.6860i | 0.0125122 | − | 0.747934i | ||||
\(921\) | −48.7917 | + | 4.43401i | −1.60774 | + | 0.146105i | ||||
\(922\) | 72.8482 | − | 6.37339i | 2.39913 | − | 0.209896i | ||||
\(923\) | 0.497574 | − | 0.0435321i | 0.0163778 | − | 0.00143288i | ||||
\(924\) | 55.5415 | + | 6.02560i | 1.82718 | + | 0.198228i | ||||
\(925\) | −1.94297 | + | 3.82702i | −0.0638846 | + | 0.125832i | ||||
\(926\) | 57.6178 | + | 33.2656i | 1.89344 | + | 1.09318i | ||||
\(927\) | −12.1675 | + | 3.34808i | −0.399632 | + | 0.109965i | ||||
\(928\) | −4.97019 | + | 18.5490i | −0.163155 | + | 0.608901i | ||||
\(929\) | 24.6459 | + | 8.97038i | 0.808607 | + | 0.294309i | 0.713048 | − | 0.701115i | \(-0.247314\pi\) |
0.0955585 | + | 0.995424i | \(0.469536\pi\) | |||||||
\(930\) | 0.421443 | − | 1.49274i | 0.0138197 | − | 0.0489490i | ||||
\(931\) | −16.5867 | − | 6.96169i | −0.543607 | − | 0.228160i | ||||
\(932\) | −45.3067 | + | 31.7241i | −1.48407 | + | 1.03916i | ||||
\(933\) | −30.5606 | − | 36.1731i | −1.00051 | − | 1.18425i | ||||
\(934\) | 1.54745 | − | 0.272858i | 0.0506343 | − | 0.00892818i | ||||
\(935\) | 18.0656 | − | 1.27644i | 0.590807 | − | 0.0417442i | ||||
\(936\) | 0.731765 | − | 0.00491882i | 0.0239185 | − | 0.000160777i | ||||
\(937\) | 42.7407 | + | 11.4523i | 1.39628 | + | 0.374131i | 0.877006 | − | 0.480479i | \(-0.159537\pi\) |
0.519270 | + | 0.854610i | \(0.326204\pi\) | |||||||
\(938\) | 4.98228 | + | 78.8457i | 0.162677 | + | 2.57440i | ||||
\(939\) | 32.7729 | − | 8.89963i | 1.06950 | − | 0.290428i | ||||
\(940\) | −20.2079 | − | 14.6595i | −0.659109 | − | 0.478140i | ||||
\(941\) | −24.2520 | − | 4.27628i | −0.790592 | − | 0.139403i | −0.236251 | − | 0.971692i | \(-0.575919\pi\) |
−0.554341 | + | 0.832289i | \(0.687030\pi\) | |||||||
\(942\) | 26.0731 | + | 21.7291i | 0.849509 | + | 0.707971i | ||||
\(943\) | −54.3093 | − | 4.75144i | −1.76855 | − | 0.154728i | ||||
\(944\) | 6.27082 | 0.204098 | ||||||||
\(945\) | −8.86710 | + | 29.4342i | −0.288447 | + | 0.957496i | ||||
\(946\) | −115.253 | −3.74718 | ||||||||
\(947\) | −27.9481 | − | 2.44515i | −0.908193 | − | 0.0794566i | −0.376522 | − | 0.926408i | \(-0.622880\pi\) |
−0.531671 | + | 0.846951i | \(0.678436\pi\) | |||||||
\(948\) | 58.9797 | − | 21.6916i | 1.91557 | − | 0.704511i | ||||
\(949\) | 0.831856 | + | 0.146679i | 0.0270032 | + | 0.00476139i | ||||
\(950\) | 27.1189 | + | 8.24805i | 0.879853 | + | 0.267602i | ||||
\(951\) | 9.96766 | + | 9.90089i | 0.323224 | + | 0.321058i | ||||
\(952\) | −8.63087 | − | 4.28145i | −0.279728 | − | 0.138763i | ||||
\(953\) | −31.7286 | − | 8.50165i | −1.02779 | − | 0.275396i | −0.294745 | − | 0.955576i | \(-0.595235\pi\) |
−0.733045 | + | 0.680180i | \(0.761901\pi\) | |||||||
\(954\) | −12.1379 | + | 71.6505i | −0.392979 | + | 2.31977i | ||||
\(955\) | −12.0333 | + | 13.8631i | −0.389390 | + | 0.448599i | ||||
\(956\) | −78.4111 | + | 13.8260i | −2.53600 | + | 0.447165i | ||||
\(957\) | −19.4246 | + | 3.49243i | −0.627907 | + | 0.112894i | ||||
\(958\) | −56.1746 | + | 39.3339i | −1.81492 | + | 1.27082i | ||||
\(959\) | −36.9866 | + | 20.1789i | −1.19436 | + | 0.651611i | ||||
\(960\) | −42.5317 | − | 25.3196i | −1.37270 | − | 0.817187i | ||||
\(961\) | 29.0995 | + | 10.5914i | 0.938694 | + | 0.341657i | ||||
\(962\) | −0.0625273 | + | 0.233355i | −0.00201596 | + | 0.00752367i | ||||
\(963\) | 6.97840 | − | 10.1101i | 0.224876 | − | 0.325795i | ||||
\(964\) | −38.0963 | − | 21.9949i | −1.22700 | − | 0.708408i | ||||
\(965\) | −16.9359 | − | 17.5122i | −0.545185 | − | 0.563737i | ||||
\(966\) | 53.3366 | + | 5.78641i | 1.71608 | + | 0.186175i | ||||
\(967\) | −39.4566 | + | 3.45200i | −1.26884 | + | 0.111009i | −0.701615 | − | 0.712556i | \(-0.747538\pi\) |
−0.567222 | + | 0.823565i | \(0.691982\pi\) | |||||||
\(968\) | −13.4959 | + | 1.18074i | −0.433775 | + | 0.0379504i | ||||
\(969\) | 4.88549 | + | 6.92754i | 0.156945 | + | 0.222545i | ||||
\(970\) | 28.5913 | + | 0.478306i | 0.918011 | + | 0.0153575i | ||||
\(971\) | 35.5260 | − | 20.5109i | 1.14008 | − | 0.658228i | 0.193632 | − | 0.981074i | \(-0.437973\pi\) |
0.946451 | + | 0.322847i | \(0.104640\pi\) | |||||||
\(972\) | 38.3197 | − | 22.9910i | 1.22911 | − | 0.737436i | ||||
\(973\) | 55.2866 | − | 24.1722i | 1.77241 | − | 0.774925i | ||||
\(974\) | 2.82753 | + | 16.0357i | 0.0906000 | + | 0.513818i | ||||
\(975\) | 0.757374 | + | 0.804389i | 0.0242554 | + | 0.0257610i | ||||
\(976\) | 0.597045 | − | 3.38601i | 0.0191109 | − | 0.108384i | ||||
\(977\) | 30.9067 | + | 14.4120i | 0.988792 | + | 0.461081i | 0.848595 | − | 0.529042i | \(-0.177449\pi\) |
0.140197 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(978\) | 0.575663 | + | 0.329784i | 0.0184077 | + | 0.0105453i | ||||
\(979\) | 23.9445 | − | 65.7869i | 0.765269 | − | 2.10256i | ||||
\(980\) | −4.90292 | − | 44.6025i | −0.156618 | − | 1.42478i | ||||
\(981\) | 6.16607 | + | 7.24892i | 0.196867 | + | 0.231440i | ||||
\(982\) | −35.3542 | + | 35.3542i | −1.12820 | + | 1.12820i | ||||
\(983\) | −12.3679 | − | 8.66009i | −0.394474 | − | 0.276214i | 0.359464 | − | 0.933159i | \(-0.382959\pi\) |
−0.753939 | + | 0.656945i | \(0.771848\pi\) | |||||||
\(984\) | 19.4198 | − | 27.9337i | 0.619080 | − | 0.890493i | ||||
\(985\) | 49.0659 | + | 5.12103i | 1.56337 | + | 0.163170i | ||||
\(986\) | 11.0864 | + | 1.95482i | 0.353062 | + | 0.0622543i | ||||
\(987\) | 11.7539 | − | 13.4303i | 0.374132 | − | 0.427493i | ||||
\(988\) | 0.936246 | + | 0.0819110i | 0.0297860 | + | 0.00260593i | ||||
\(989\) | −65.1940 | −2.07305 | ||||||||
\(990\) | 6.11212 | − | 62.6369i | 0.194256 | − | 1.99073i | ||||
\(991\) | 7.04356 | 0.223746 | 0.111873 | − | 0.993723i | \(-0.464315\pi\) | ||||
0.111873 | + | 0.993723i | \(0.464315\pi\) | |||||||
\(992\) | −0.746291 | + | 1.06581i | −0.0236948 | + | 0.0338396i | ||||
\(993\) | 21.1372 | − | 0.0710397i | 0.670767 | − | 0.00225438i | ||||
\(994\) | −11.9005 | + | 19.5081i | −0.377460 | + | 0.618761i | ||||
\(995\) | 5.73186 | + | 7.06776i | 0.181712 | + | 0.224063i | ||||
\(996\) | 12.0427 | − | 8.49287i | 0.381588 | − | 0.269107i | ||||
\(997\) | 13.2580 | − | 6.18229i | 0.419884 | − | 0.195795i | −0.201181 | − | 0.979554i | \(-0.564478\pi\) |
0.621065 | + | 0.783759i | \(0.286700\pi\) | |||||||
\(998\) | 7.99182 | + | 29.8259i | 0.252977 | + | 0.944121i | ||||
\(999\) | 1.19781 | + | 4.29653i | 0.0378970 | + | 0.135936i |
(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 | 945.2.do.a.473.19 | yes | 1680 | |
5.2 | odd | 4 | inner | 945.2.do.a.662.122 | yes | 1680 | |
7.2 | even | 3 | 945.2.dh.a.338.122 | yes | 1680 | ||
27.2 | odd | 18 | 945.2.dh.a.893.19 | yes | 1680 | ||
35.2 | odd | 12 | 945.2.dh.a.527.19 | yes | 1680 | ||
135.2 | even | 36 | 945.2.dh.a.137.122 | ✓ | 1680 | ||
189.2 | odd | 18 | inner | 945.2.do.a.758.122 | yes | 1680 | |
945.2 | even | 36 | inner | 945.2.do.a.2.19 | yes | 1680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
945.2.dh.a.137.122 | ✓ | 1680 | 135.2 | even | 36 | ||
945.2.dh.a.338.122 | yes | 1680 | 7.2 | even | 3 | ||
945.2.dh.a.527.19 | yes | 1680 | 35.2 | odd | 12 | ||
945.2.dh.a.893.19 | yes | 1680 | 27.2 | odd | 18 | ||
945.2.do.a.2.19 | yes | 1680 | 945.2 | even | 36 | inner | |
945.2.do.a.473.19 | yes | 1680 | 1.1 | even | 1 | trivial | |
945.2.do.a.662.122 | yes | 1680 | 5.2 | odd | 4 | inner | |
945.2.do.a.758.122 | yes | 1680 | 189.2 | odd | 18 | inner |