Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(11,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.p (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(936\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 263.31 | ||
Character | \(\chi\) | \(=\) | 324.263 |
Dual form | 324.2.p.a.239.31 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{25}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.403275 | + | 1.35550i | 0.285158 | + | 0.958480i | ||||
\(3\) | −1.52566 | + | 0.819976i | −0.880840 | + | 0.473413i | ||||
\(4\) | −1.67474 | + | 1.09328i | −0.837369 | + | 0.546638i | ||||
\(5\) | 1.81176 | − | 3.60751i | 0.810244 | − | 1.61333i | 0.0205817 | − | 0.999788i | \(-0.493448\pi\) |
0.789663 | − | 0.613541i | \(-0.210256\pi\) | |||||||
\(6\) | −1.72673 | − | 1.73735i | −0.704937 | − | 0.709270i | ||||
\(7\) | 3.06406 | − | 0.917319i | 1.15810 | − | 0.346714i | 0.350572 | − | 0.936536i | \(-0.385987\pi\) |
0.807533 | + | 0.589822i | \(0.200802\pi\) | |||||||
\(8\) | −2.15731 | − | 1.82921i | −0.762724 | − | 0.646724i | ||||
\(9\) | 1.65528 | − | 2.50201i | 0.551760 | − | 0.834003i | ||||
\(10\) | 5.62061 | + | 1.00102i | 1.77739 | + | 0.316549i | ||||
\(11\) | 0.0562807 | − | 0.966303i | 0.0169693 | − | 0.291351i | −0.979138 | − | 0.203198i | \(-0.934866\pi\) |
0.996107 | − | 0.0881532i | \(-0.0280965\pi\) | |||||||
\(12\) | 1.65862 | − | 3.04121i | 0.478803 | − | 0.877922i | ||||
\(13\) | 1.00752 | − | 1.35334i | 0.279436 | − | 0.375348i | −0.640141 | − | 0.768257i | \(-0.721124\pi\) |
0.919577 | + | 0.392910i | \(0.128531\pi\) | |||||||
\(14\) | 2.47908 | + | 3.78339i | 0.662562 | + | 1.01115i | ||||
\(15\) | 0.193942 | + | 6.98944i | 0.0500756 | + | 1.80467i | ||||
\(16\) | 1.60950 | − | 3.66190i | 0.402375 | − | 0.915475i | ||||
\(17\) | 1.25854 | + | 1.49987i | 0.305241 | + | 0.363772i | 0.896759 | − | 0.442520i | \(-0.145915\pi\) |
−0.591518 | + | 0.806292i | \(0.701471\pi\) | |||||||
\(18\) | 4.05900 | + | 1.23473i | 0.956715 | + | 0.291028i | ||||
\(19\) | −4.84027 | + | 5.76840i | −1.11043 | + | 1.32336i | −0.169209 | + | 0.985580i | \(0.554121\pi\) |
−0.941224 | + | 0.337783i | \(0.890323\pi\) | |||||||
\(20\) | 0.909779 | + | 8.02240i | 0.203433 | + | 1.79386i | ||||
\(21\) | −3.92253 | + | 3.91197i | −0.855967 | + | 0.853662i | ||||
\(22\) | 1.33252 | − | 0.313397i | 0.284093 | − | 0.0668166i | ||||
\(23\) | 1.64757 | − | 5.50326i | 0.343542 | − | 1.14751i | −0.595399 | − | 0.803430i | \(-0.703006\pi\) |
0.938941 | − | 0.344079i | \(-0.111809\pi\) | |||||||
\(24\) | 4.79123 | + | 1.02181i | 0.978006 | + | 0.208576i | ||||
\(25\) | −6.74588 | − | 9.06130i | −1.34918 | − | 1.81226i | ||||
\(26\) | 2.24075 | + | 0.819924i | 0.439447 | + | 0.160800i | ||||
\(27\) | −0.473805 | + | 5.17451i | −0.0911838 | + | 0.995834i | ||||
\(28\) | −4.12861 | + | 4.88613i | −0.780235 | + | 0.923391i | ||||
\(29\) | 3.97620 | + | 1.71517i | 0.738362 | + | 0.318498i | 0.731836 | − | 0.681480i | \(-0.238664\pi\) |
0.00652562 | + | 0.999979i | \(0.497923\pi\) | |||||||
\(30\) | −9.39595 | + | 3.08155i | −1.71546 | + | 0.562612i | ||||
\(31\) | 3.44433 | − | 3.24956i | 0.618620 | − | 0.583638i | −0.311793 | − | 0.950150i | \(-0.600930\pi\) |
0.930413 | + | 0.366512i | \(0.119448\pi\) | |||||||
\(32\) | 5.61276 | + | 0.704916i | 0.992205 | + | 0.124613i | ||||
\(33\) | 0.706480 | + | 1.52040i | 0.122982 | + | 0.264667i | ||||
\(34\) | −1.52553 | + | 2.31081i | −0.261626 | + | 0.396300i | ||||
\(35\) | 2.24210 | − | 12.7156i | 0.378984 | − | 2.14933i | ||||
\(36\) | −0.0367738 | + | 5.99989i | −0.00612897 | + | 0.999981i | ||||
\(37\) | 1.58111 | + | 8.96693i | 0.259933 | + | 1.47415i | 0.783085 | + | 0.621915i | \(0.213645\pi\) |
−0.523152 | + | 0.852240i | \(0.675244\pi\) | |||||||
\(38\) | −9.77101 | − | 4.23471i | −1.58507 | − | 0.686960i | ||||
\(39\) | −0.427432 | + | 2.89087i | −0.0684439 | + | 0.462910i | ||||
\(40\) | −10.5074 | + | 4.46843i | −1.66137 | + | 0.706521i | ||||
\(41\) | −0.0921716 | + | 0.788578i | −0.0143948 | + | 0.123155i | −0.998525 | − | 0.0542920i | \(-0.982710\pi\) |
0.984130 | + | 0.177447i | \(0.0567839\pi\) | |||||||
\(42\) | −6.88452 | − | 3.73938i | −1.06230 | − | 0.576998i | ||||
\(43\) | 0.0145201 | − | 0.0220768i | 0.00221430 | − | 0.00336668i | −0.834379 | − | 0.551191i | \(-0.814173\pi\) |
0.836593 | + | 0.547825i | \(0.184544\pi\) | |||||||
\(44\) | 0.962180 | + | 1.67984i | 0.145054 | + | 0.253245i | ||||
\(45\) | −6.02706 | − | 10.5045i | −0.898462 | − | 1.56592i | ||||
\(46\) | 8.12407 | + | 0.0139445i | 1.19783 | + | 0.00205600i | ||||
\(47\) | 4.87410 | − | 5.16624i | 0.710960 | − | 0.753573i | −0.266697 | − | 0.963780i | \(-0.585932\pi\) |
0.977657 | + | 0.210207i | \(0.0674138\pi\) | |||||||
\(48\) | 0.547122 | + | 6.90657i | 0.0789703 | + | 0.996877i | ||||
\(49\) | 2.69856 | − | 1.77487i | 0.385509 | − | 0.253553i | ||||
\(50\) | 9.56210 | − | 12.7982i | 1.35229 | − | 1.80994i | ||||
\(51\) | −3.14996 | − | 1.25632i | −0.441083 | − | 0.175920i | ||||
\(52\) | −0.207766 | + | 3.36798i | −0.0288120 | + | 0.467055i | ||||
\(53\) | −3.07902 | + | 1.77767i | −0.422936 | + | 0.244182i | −0.696333 | − | 0.717719i | \(-0.745186\pi\) |
0.273397 | + | 0.961901i | \(0.411853\pi\) | |||||||
\(54\) | −7.20510 | + | 1.44451i | −0.980489 | + | 0.196573i | ||||
\(55\) | −3.38398 | − | 1.95374i | −0.456296 | − | 0.263443i | ||||
\(56\) | −8.28809 | − | 3.62587i | −1.10754 | − | 0.484527i | ||||
\(57\) | 2.65465 | − | 12.7695i | 0.351617 | − | 1.69137i | ||||
\(58\) | −0.721398 | + | 6.08141i | −0.0947242 | + | 0.798528i | ||||
\(59\) | −0.416173 | − | 7.14541i | −0.0541811 | − | 0.930253i | −0.910423 | − | 0.413678i | \(-0.864244\pi\) |
0.856242 | − | 0.516575i | \(-0.172793\pi\) | |||||||
\(60\) | −7.96619 | − | 11.4935i | −1.02843 | − | 1.48380i | ||||
\(61\) | 0.919016 | + | 0.217811i | 0.117668 | + | 0.0278878i | 0.289028 | − | 0.957321i | \(-0.406668\pi\) |
−0.171360 | + | 0.985208i | \(0.554816\pi\) | |||||||
\(62\) | 5.79378 | + | 3.35831i | 0.735811 | + | 0.426506i | ||||
\(63\) | 2.77673 | − | 9.18472i | 0.349835 | − | 1.15717i | ||||
\(64\) | 1.30798 | + | 7.89235i | 0.163497 | + | 0.986544i | ||||
\(65\) | −3.05679 | − | 6.08657i | −0.379148 | − | 0.754946i | ||||
\(66\) | −1.77599 | + | 1.57077i | −0.218609 | + | 0.193348i | ||||
\(67\) | −13.5355 | + | 5.83865i | −1.65363 | + | 0.713304i | −0.999087 | − | 0.0427247i | \(-0.986396\pi\) |
−0.654538 | + | 0.756029i | \(0.727137\pi\) | |||||||
\(68\) | −3.74750 | − | 1.13596i | −0.454451 | − | 0.137755i | ||||
\(69\) | 1.99891 | + | 9.74707i | 0.240641 | + | 1.17341i | ||||
\(70\) | 18.1401 | − | 2.08872i | 2.16816 | − | 0.249650i | ||||
\(71\) | 3.54954 | + | 1.29193i | 0.421253 | + | 0.153324i | 0.543944 | − | 0.839121i | \(-0.316930\pi\) |
−0.122691 | + | 0.992445i | \(0.539152\pi\) | |||||||
\(72\) | −8.14765 | + | 2.36976i | −0.960210 | + | 0.279279i | ||||
\(73\) | 0.192945 | − | 0.0702261i | 0.0225824 | − | 0.00821934i | −0.330704 | − | 0.943734i | \(-0.607286\pi\) |
0.353287 | + | 0.935515i | \(0.385064\pi\) | |||||||
\(74\) | −11.5170 | + | 5.75933i | −1.33883 | + | 0.669508i | ||||
\(75\) | 17.7220 | + | 8.29299i | 2.04636 | + | 0.957593i | ||||
\(76\) | 1.79973 | − | 14.9523i | 0.206443 | − | 1.71515i | ||||
\(77\) | −0.713960 | − | 3.01244i | −0.0813633 | − | 0.343299i | ||||
\(78\) | −4.09094 | + | 0.586435i | −0.463208 | + | 0.0664006i | ||||
\(79\) | 1.06783 | + | 9.13583i | 0.120140 | + | 1.02786i | 0.910010 | + | 0.414587i | \(0.136074\pi\) |
−0.789870 | + | 0.613275i | \(0.789852\pi\) | |||||||
\(80\) | −10.2943 | − | 12.4408i | −1.15094 | − | 1.39092i | ||||
\(81\) | −3.52010 | − | 8.28305i | −0.391123 | − | 0.920339i | ||||
\(82\) | −1.10609 | + | 0.193076i | −0.122147 | + | 0.0213216i | ||||
\(83\) | −3.99227 | + | 0.466629i | −0.438209 | + | 0.0512192i | −0.332337 | − | 0.943161i | \(-0.607837\pi\) |
−0.105871 | + | 0.994380i | \(0.533763\pi\) | |||||||
\(84\) | 2.29235 | − | 10.8399i | 0.250116 | − | 1.18273i | ||||
\(85\) | 7.69098 | − | 1.82280i | 0.834204 | − | 0.197710i | ||||
\(86\) | 0.0357806 | + | 0.0107790i | 0.00385832 | + | 0.00116233i | ||||
\(87\) | −7.47273 | + | 0.643629i | −0.801160 | + | 0.0690043i | ||||
\(88\) | −1.88899 | + | 1.98167i | −0.201367 | + | 0.211246i | ||||
\(89\) | 2.78775 | + | 7.65928i | 0.295501 | + | 0.811882i | 0.995237 | + | 0.0974810i | \(0.0310785\pi\) |
−0.699736 | + | 0.714401i | \(0.746699\pi\) | |||||||
\(90\) | 11.8082 | − | 12.4059i | 1.24470 | − | 1.30769i | ||||
\(91\) | 1.84566 | − | 5.07092i | 0.193478 | − | 0.531577i | ||||
\(92\) | 3.25733 | + | 11.0178i | 0.339600 | + | 1.14868i | ||||
\(93\) | −2.59032 | + | 7.78199i | −0.268604 | + | 0.806955i | ||||
\(94\) | 8.96842 | + | 4.52340i | 0.925022 | + | 0.466553i | ||||
\(95\) | 12.0402 | + | 27.9123i | 1.23530 | + | 2.86374i | ||||
\(96\) | −9.14118 | + | 3.52687i | −0.932968 | + | 0.359959i | ||||
\(97\) | −15.2704 | + | 7.66910i | −1.55048 | + | 0.778679i | −0.998477 | − | 0.0551653i | \(-0.982431\pi\) |
−0.552000 | + | 0.833844i | \(0.686135\pi\) | |||||||
\(98\) | 3.49409 | + | 2.94213i | 0.352957 | + | 0.297200i | ||||
\(99\) | −2.32454 | − | 1.74032i | −0.233625 | − | 0.174908i | ||||
\(100\) | 21.2041 | + | 7.80019i | 2.12041 | + | 0.780019i | ||||
\(101\) | 1.26798 | − | 5.35004i | 0.126169 | − | 0.532349i | −0.872847 | − | 0.487994i | \(-0.837729\pi\) |
0.999016 | − | 0.0443547i | \(-0.0141232\pi\) | |||||||
\(102\) | 0.432635 | − | 4.77640i | 0.0428372 | − | 0.472934i | ||||
\(103\) | 1.91726 | − | 0.111668i | 0.188913 | − | 0.0110029i | 0.0365726 | − | 0.999331i | \(-0.488356\pi\) |
0.152341 | + | 0.988328i | \(0.451319\pi\) | |||||||
\(104\) | −4.64907 | + | 1.07660i | −0.455879 | + | 0.105569i | ||||
\(105\) | 7.00580 | + | 21.2381i | 0.683696 | + | 2.07263i | ||||
\(106\) | −3.65132 | − | 3.45671i | −0.354648 | − | 0.335745i | ||||
\(107\) | −3.87118 | + | 6.70507i | −0.374241 | + | 0.648204i | −0.990213 | − | 0.139564i | \(-0.955430\pi\) |
0.615972 | + | 0.787768i | \(0.288763\pi\) | |||||||
\(108\) | −4.86366 | − | 9.18394i | −0.468006 | − | 0.883725i | ||||
\(109\) | −5.68637 | − | 9.84908i | −0.544656 | − | 0.943371i | −0.998629 | − | 0.0523557i | \(-0.983327\pi\) |
0.453973 | − | 0.891015i | \(-0.350006\pi\) | |||||||
\(110\) | 1.28362 | − | 5.37487i | 0.122388 | − | 0.512474i | ||||
\(111\) | −9.76491 | − | 12.3840i | −0.926844 | − | 1.17544i | ||||
\(112\) | 1.57247 | − | 12.6967i | 0.148584 | − | 1.19973i | ||||
\(113\) | 4.31291 | + | 6.55746i | 0.405725 | + | 0.616874i | 0.979333 | − | 0.202255i | \(-0.0648271\pi\) |
−0.573608 | + | 0.819130i | \(0.694457\pi\) | |||||||
\(114\) | 18.3796 | − | 1.55127i | 1.72141 | − | 0.145289i | ||||
\(115\) | −16.8681 | − | 15.9142i | −1.57296 | − | 1.48401i | ||||
\(116\) | −8.53424 | + | 1.47463i | −0.792385 | + | 0.136916i | ||||
\(117\) | −1.71833 | − | 4.76098i | −0.158860 | − | 0.440152i | ||||
\(118\) | 9.51774 | − | 3.44569i | 0.876179 | − | 0.317201i | ||||
\(119\) | 5.23210 | + | 3.44121i | 0.479626 | + | 0.315455i | ||||
\(120\) | 12.3668 | − | 15.4332i | 1.12893 | − | 1.40885i | ||||
\(121\) | 9.99505 | + | 1.16825i | 0.908641 | + | 0.106205i | ||||
\(122\) | 0.0753745 | + | 1.33356i | 0.00682409 | + | 0.120735i | ||||
\(123\) | −0.505993 | − | 1.27868i | −0.0456238 | − | 0.115295i | ||||
\(124\) | −2.21569 | + | 9.20777i | −0.198975 | + | 0.826882i | ||||
\(125\) | −25.0328 | + | 4.41396i | −2.23900 | + | 0.394796i | ||||
\(126\) | 13.5696 | + | 0.0598774i | 1.20888 | + | 0.00533430i | ||||
\(127\) | −1.87661 | − | 0.330898i | −0.166523 | − | 0.0293624i | 0.0897651 | − | 0.995963i | \(-0.471388\pi\) |
−0.256288 | + | 0.966601i | \(0.582499\pi\) | |||||||
\(128\) | −10.1706 | + | 4.95574i | −0.898960 | + | 0.438030i | ||||
\(129\) | −0.00405035 | + | 0.0455878i | −0.000356614 | + | 0.00401379i | ||||
\(130\) | 7.01759 | − | 6.59803i | 0.615484 | − | 0.578685i | ||||
\(131\) | −12.3721 | − | 13.1136i | −1.08095 | − | 1.14574i | −0.988685 | − | 0.150010i | \(-0.952069\pi\) |
−0.0922691 | − | 0.995734i | \(-0.529412\pi\) | |||||||
\(132\) | −2.84538 | − | 1.77389i | −0.247659 | − | 0.154398i | ||||
\(133\) | −9.53939 | + | 22.1148i | −0.827170 | + | 1.91760i | ||||
\(134\) | −13.3728 | − | 15.9927i | −1.15523 | − | 1.38156i | ||||
\(135\) | 17.8087 | + | 11.0842i | 1.53273 | + | 0.953979i | ||||
\(136\) | 0.0285162 | − | 5.53782i | 0.00244525 | − | 0.474864i | ||||
\(137\) | −4.05312 | + | 3.01744i | −0.346281 | + | 0.257797i | −0.756222 | − | 0.654315i | \(-0.772957\pi\) |
0.409940 | + | 0.912112i | \(0.365549\pi\) | |||||||
\(138\) | −12.4060 | + | 6.64027i | −1.05607 | + | 0.565257i | ||||
\(139\) | 18.3126 | + | 5.48245i | 1.55326 | + | 0.465015i | 0.944547 | − | 0.328377i | \(-0.106502\pi\) |
0.608711 | + | 0.793392i | \(0.291687\pi\) | |||||||
\(140\) | 10.1467 | + | 23.7465i | 0.857553 | + | 2.00695i | ||||
\(141\) | −3.20002 | + | 11.8786i | −0.269490 | + | 1.00036i | ||||
\(142\) | −0.319761 | + | 5.33240i | −0.0268338 | + | 0.447485i | ||||
\(143\) | −1.25103 | − | 1.04974i | −0.104616 | − | 0.0877835i | ||||
\(144\) | −6.49794 | − | 10.0884i | −0.541495 | − | 0.840704i | ||||
\(145\) | 13.3914 | − | 11.2367i | 1.11210 | − | 0.933160i | ||||
\(146\) | 0.173001 | + | 0.233215i | 0.0143177 | + | 0.0193010i | ||||
\(147\) | −2.66173 | + | 4.92061i | −0.219536 | + | 0.405845i | ||||
\(148\) | −12.4513 | − | 13.2887i | −1.02349 | − | 1.09232i | ||||
\(149\) | 16.6106 | + | 12.3661i | 1.36079 | + | 1.01307i | 0.996655 | + | 0.0817258i | \(0.0260432\pi\) |
0.364136 | + | 0.931346i | \(0.381364\pi\) | |||||||
\(150\) | −4.09429 | + | 27.3664i | −0.334298 | + | 2.23446i | ||||
\(151\) | −10.6597 | − | 0.620856i | −0.867473 | − | 0.0505245i | −0.381366 | − | 0.924424i | \(-0.624546\pi\) |
−0.486107 | + | 0.873900i | \(0.661583\pi\) | |||||||
\(152\) | 20.9936 | − | 3.59037i | 1.70280 | − | 0.291218i | ||||
\(153\) | 5.83592 | − | 0.666177i | 0.471807 | − | 0.0538572i | ||||
\(154\) | 3.79542 | − | 2.18261i | 0.305844 | − | 0.175880i | ||||
\(155\) | −5.48252 | − | 18.3129i | −0.440367 | − | 1.47093i | ||||
\(156\) | −2.44468 | − | 5.30876i | −0.195731 | − | 0.425041i | ||||
\(157\) | −6.67493 | − | 3.35227i | −0.532717 | − | 0.267541i | 0.162041 | − | 0.986784i | \(-0.448192\pi\) |
−0.694758 | + | 0.719243i | \(0.744489\pi\) | |||||||
\(158\) | −11.9530 | + | 5.13169i | −0.950926 | + | 0.408255i | ||||
\(159\) | 3.23989 | − | 5.23685i | 0.256940 | − | 0.415309i | ||||
\(160\) | 12.7120 | − | 18.9710i | 1.00497 | − | 1.49979i | ||||
\(161\) | − | 18.3737i | − | 1.44805i | ||||||
\(162\) | 9.80807 | − | 8.11183i | 0.770594 | − | 0.637326i | ||||
\(163\) | 20.8599i | 1.63387i | 0.576726 | + | 0.816937i | \(0.304330\pi\) | ||||
−0.576726 | + | 0.816937i | \(0.695670\pi\) | |||||||
\(164\) | −0.707770 | − | 1.42143i | −0.0552676 | − | 0.110995i | ||||
\(165\) | 6.76483 | + | 0.205964i | 0.526642 | + | 0.0160343i | ||||
\(166\) | −2.24250 | − | 5.22333i | −0.174052 | − | 0.405409i | ||||
\(167\) | −8.73061 | − | 4.38468i | −0.675595 | − | 0.339297i | 0.0777025 | − | 0.996977i | \(-0.475242\pi\) |
−0.753297 | + | 0.657680i | \(0.771538\pi\) | |||||||
\(168\) | 15.6179 | − | 1.26420i | 1.20495 | − | 0.0975349i | ||||
\(169\) | 2.91202 | + | 9.72683i | 0.224002 | + | 0.748218i | ||||
\(170\) | 5.57237 | + | 9.69000i | 0.427381 | + | 0.743189i | ||||
\(171\) | 6.42061 | + | 21.6587i | 0.490997 | + | 1.65628i | ||||
\(172\) | −0.000181419 | 0.0528474i | −1.38331e−5 | 0.00402957i | ||||||
\(173\) | 1.34614 | + | 0.0784035i | 0.102345 | + | 0.00596091i | 0.109241 | − | 0.994015i | \(-0.465158\pi\) |
−0.00689595 | + | 0.999976i | \(0.502195\pi\) | |||||||
\(174\) | −3.88600 | − | 9.86969i | −0.294597 | − | 0.748219i | ||||
\(175\) | −28.9819 | − | 21.5762i | −2.19082 | − | 1.63101i | ||||
\(176\) | −3.44792 | − | 1.76136i | −0.259897 | − | 0.132767i | ||||
\(177\) | 6.49400 | + | 10.5602i | 0.488119 | + | 0.793754i | ||||
\(178\) | −9.25789 | + | 6.86758i | −0.693908 | + | 0.514747i | ||||
\(179\) | 1.65628 | − | 1.38978i | 0.123796 | − | 0.103877i | −0.578788 | − | 0.815478i | \(-0.696474\pi\) |
0.702584 | + | 0.711601i | \(0.252030\pi\) | |||||||
\(180\) | 21.5781 | + | 11.0030i | 1.60833 | + | 0.820117i | ||||
\(181\) | 0.587591 | + | 0.493048i | 0.0436753 | + | 0.0366479i | 0.664364 | − | 0.747409i | \(-0.268702\pi\) |
−0.620689 | + | 0.784057i | \(0.713147\pi\) | |||||||
\(182\) | 7.61792 | + | 0.456815i | 0.564678 | + | 0.0338613i | ||||
\(183\) | −1.58071 | + | 0.421266i | −0.116849 | + | 0.0311409i | ||||
\(184\) | −13.6209 | + | 8.85849i | −1.00415 | + | 0.653057i | ||||
\(185\) | 35.2129 | + | 10.5421i | 2.58891 | + | 0.775067i | ||||
\(186\) | −11.5931 | − | 0.372884i | −0.850045 | − | 0.0273412i | ||||
\(187\) | 1.52016 | − | 1.13172i | 0.111165 | − | 0.0827594i | ||||
\(188\) | −2.51471 | + | 13.9808i | −0.183404 | + | 1.01966i | ||||
\(189\) | 3.29490 | + | 16.2896i | 0.239669 | + | 1.18490i | ||||
\(190\) | −32.9795 | + | 27.5768i | −2.39258 | + | 2.00063i | ||||
\(191\) | −4.83014 | + | 11.1975i | −0.349497 | + | 0.810224i | 0.649269 | + | 0.760559i | \(0.275075\pi\) |
−0.998766 | + | 0.0496657i | \(0.984184\pi\) | |||||||
\(192\) | −8.46706 | − | 10.9685i | −0.611058 | − | 0.791586i | ||||
\(193\) | 6.03986 | + | 6.40188i | 0.434759 | + | 0.460818i | 0.907296 | − | 0.420493i | \(-0.138143\pi\) |
−0.472537 | + | 0.881311i | \(0.656662\pi\) | |||||||
\(194\) | −16.5536 | − | 17.6062i | −1.18848 | − | 1.26405i | ||||
\(195\) | 9.65446 | + | 6.77954i | 0.691371 | + | 0.485493i | ||||
\(196\) | −2.57896 | + | 5.92271i | −0.184211 | + | 0.423051i | ||||
\(197\) | −11.4817 | − | 2.02454i | −0.818039 | − | 0.144242i | −0.251057 | − | 0.967972i | \(-0.580778\pi\) |
−0.566982 | + | 0.823730i | \(0.691889\pi\) | |||||||
\(198\) | 1.42156 | − | 3.85273i | 0.101026 | − | 0.273802i | ||||
\(199\) | 10.2771 | − | 1.81213i | 0.728525 | − | 0.128459i | 0.202930 | − | 0.979193i | \(-0.434954\pi\) |
0.525595 | + | 0.850735i | \(0.323843\pi\) | |||||||
\(200\) | −2.02205 | + | 31.8877i | −0.142981 | + | 2.25480i | ||||
\(201\) | 15.8630 | − | 20.0066i | 1.11889 | − | 1.41116i | ||||
\(202\) | 7.76331 | − | 0.438792i | 0.546224 | − | 0.0308733i | ||||
\(203\) | 13.7567 | + | 1.60792i | 0.965528 | + | 0.112854i | ||||
\(204\) | 6.64887 | − | 1.33977i | 0.465514 | − | 0.0938026i | ||||
\(205\) | 2.67781 | + | 1.76123i | 0.187027 | + | 0.123009i | ||||
\(206\) | 0.924548 | + | 2.55380i | 0.0644163 | + | 0.177932i | ||||
\(207\) | −11.0420 | − | 13.2317i | −0.767474 | − | 0.919664i | ||||
\(208\) | −3.33418 | − | 5.86763i | −0.231184 | − | 0.406847i | ||||
\(209\) | 5.30161 | + | 5.00181i | 0.366720 | + | 0.345983i | ||||
\(210\) | −25.9630 | + | 18.0611i | −1.79161 | + | 1.24634i | ||||
\(211\) | 11.3522 | + | 17.2602i | 0.781517 | + | 1.18824i | 0.978178 | + | 0.207768i | \(0.0666199\pi\) |
−0.196661 | + | 0.980472i | \(0.563010\pi\) | |||||||
\(212\) | 3.21307 | − | 6.34335i | 0.220674 | − | 0.435663i | ||||
\(213\) | −6.47475 | + | 0.939497i | −0.443642 | + | 0.0643733i | ||||
\(214\) | −10.6498 | − | 2.54337i | −0.728009 | − | 0.173862i | ||||
\(215\) | −0.0533353 | − | 0.0923795i | −0.00363744 | − | 0.00630023i | ||||
\(216\) | 10.4874 | − | 10.2963i | 0.713578 | − | 0.700576i | ||||
\(217\) | 7.57275 | − | 13.1164i | 0.514072 | − | 0.890398i | ||||
\(218\) | 11.0572 | − | 11.6797i | 0.748890 | − | 0.791052i | ||||
\(219\) | −0.236784 | + | 0.265351i | −0.0160004 | + | 0.0179308i | ||||
\(220\) | 7.80327 | − | 0.427615i | 0.526096 | − | 0.0288298i | ||||
\(221\) | 3.29783 | − | 0.192077i | 0.221836 | − | 0.0129205i | ||||
\(222\) | 12.8485 | − | 18.2305i | 0.862338 | − | 1.22355i | ||||
\(223\) | 4.51801 | − | 19.0630i | 0.302548 | − | 1.27655i | −0.583178 | − | 0.812344i | \(-0.698191\pi\) |
0.885727 | − | 0.464207i | \(-0.153661\pi\) | |||||||
\(224\) | 17.8445 | − | 2.98879i | 1.19228 | − | 0.199697i | ||||
\(225\) | −33.8378 | + | 1.87930i | −2.25585 | + | 0.125287i | ||||
\(226\) | −7.14933 | + | 8.49060i | −0.475566 | + | 0.564786i | ||||
\(227\) | 13.6713 | − | 6.86601i | 0.907399 | − | 0.455713i | 0.0670443 | − | 0.997750i | \(-0.478643\pi\) |
0.840355 | + | 0.542037i | \(0.182347\pi\) | |||||||
\(228\) | 9.51477 | + | 24.2879i | 0.630131 | + | 1.60850i | ||||
\(229\) | −9.18809 | − | 21.3004i | −0.607166 | − | 1.40757i | −0.893335 | − | 0.449391i | \(-0.851641\pi\) |
0.286169 | − | 0.958179i | \(-0.407618\pi\) | |||||||
\(230\) | 14.7692 | − | 29.2824i | 0.973851 | − | 1.93083i | ||||
\(231\) | 3.55939 | + | 4.01052i | 0.234190 | + | 0.263873i | ||||
\(232\) | −5.44050 | − | 10.9735i | −0.357186 | − | 0.720443i | ||||
\(233\) | 3.40302 | − | 9.34973i | 0.222939 | − | 0.612521i | −0.776915 | − | 0.629606i | \(-0.783216\pi\) |
0.999854 | + | 0.0170849i | \(0.00543857\pi\) | |||||||
\(234\) | 5.76052 | − | 4.24917i | 0.376577 | − | 0.277777i | ||||
\(235\) | −9.80658 | − | 26.9434i | −0.639711 | − | 1.75759i | ||||
\(236\) | 8.50888 | + | 11.5117i | 0.553881 | + | 0.749348i | ||||
\(237\) | −9.12030 | − | 13.0626i | −0.592427 | − | 0.848506i | ||||
\(238\) | −2.55457 | + | 8.47984i | −0.165588 | + | 0.549666i | ||||
\(239\) | 6.34122 | − | 1.50290i | 0.410179 | − | 0.0972143i | −0.0203454 | − | 0.999793i | \(-0.506477\pi\) |
0.430525 | + | 0.902579i | \(0.358328\pi\) | |||||||
\(240\) | 25.9068 | + | 10.5393i | 1.67228 | + | 0.680309i | ||||
\(241\) | 13.8009 | − | 1.61309i | 0.888991 | − | 0.103908i | 0.340677 | − | 0.940180i | \(-0.389344\pi\) |
0.548314 | + | 0.836272i | \(0.315270\pi\) | |||||||
\(242\) | 2.44719 | + | 14.0194i | 0.157311 | + | 0.901200i | ||||
\(243\) | 12.1624 | + | 9.75071i | 0.780217 | + | 0.625509i | ||||
\(244\) | −1.77724 | + | 0.639962i | −0.113776 | + | 0.0409693i | ||||
\(245\) | −1.51372 | − | 12.9507i | −0.0967083 | − | 0.827392i | ||||
\(246\) | 1.52919 | − | 1.20153i | 0.0974978 | − | 0.0766069i | ||||
\(247\) | 2.92992 | + | 12.3623i | 0.186426 | + | 0.786594i | ||||
\(248\) | −13.3746 | + | 0.709899i | −0.849289 | + | 0.0450787i | ||||
\(249\) | 5.70822 | − | 3.98548i | 0.361744 | − | 0.252570i | ||||
\(250\) | −16.0782 | − | 32.1518i | −1.01687 | − | 2.03346i | ||||
\(251\) | 3.86228 | − | 1.40576i | 0.243785 | − | 0.0887305i | −0.217238 | − | 0.976119i | \(-0.569705\pi\) |
0.461023 | + | 0.887388i | \(0.347483\pi\) | |||||||
\(252\) | 5.39113 | + | 18.4177i | 0.339609 | + | 1.16021i | ||||
\(253\) | −5.22509 | − | 1.90178i | −0.328499 | − | 0.119564i | ||||
\(254\) | −0.308261 | − | 2.67719i | −0.0193420 | − | 0.167982i | ||||
\(255\) | −10.2392 | + | 9.08738i | −0.641202 | + | 0.569074i | ||||
\(256\) | −10.8190 | − | 11.7876i | −0.676189 | − | 0.736728i | ||||
\(257\) | −18.7945 | + | 8.10715i | −1.17237 | + | 0.505710i | −0.891050 | − | 0.453905i | \(-0.850031\pi\) |
−0.281317 | + | 0.959615i | \(0.590771\pi\) | |||||||
\(258\) | −0.0634275 | + | 0.0128942i | −0.00394883 | + | 0.000802758i | ||||
\(259\) | 13.0701 | + | 26.0248i | 0.812140 | + | 1.61710i | ||||
\(260\) | 11.7736 | + | 6.85150i | 0.730169 | + | 0.424912i | ||||
\(261\) | 10.8731 | − | 7.10942i | 0.673027 | − | 0.440062i | ||||
\(262\) | 12.7861 | − | 22.0587i | 0.789930 | − | 1.36279i | ||||
\(263\) | −4.12482 | − | 0.977599i | −0.254347 | − | 0.0602814i | 0.101464 | − | 0.994839i | \(-0.467647\pi\) |
−0.355811 | + | 0.934558i | \(0.615795\pi\) | |||||||
\(264\) | 1.25703 | − | 4.57227i | 0.0773651 | − | 0.281404i | ||||
\(265\) | 0.834530 | + | 14.3283i | 0.0512648 | + | 0.880182i | ||||
\(266\) | −33.8235 | − | 4.01226i | −2.07385 | − | 0.246008i | ||||
\(267\) | −10.5336 | − | 9.39957i | −0.644645 | − | 0.575244i | ||||
\(268\) | 16.2852 | − | 24.5762i | 0.994776 | − | 1.50123i | ||||
\(269\) | −22.2825 | − | 12.8648i | −1.35859 | − | 0.784383i | −0.369156 | − | 0.929367i | \(-0.620353\pi\) |
−0.989434 | + | 0.144985i | \(0.953687\pi\) | |||||||
\(270\) | −7.84283 | + | 28.6096i | −0.477300 | + | 1.74112i | ||||
\(271\) | 18.3768 | − | 10.6099i | 1.11631 | − | 0.644503i | 0.175855 | − | 0.984416i | \(-0.443731\pi\) |
0.940457 | + | 0.339914i | \(0.110398\pi\) | |||||||
\(272\) | 7.51799 | − | 2.19461i | 0.455845 | − | 0.133068i | ||||
\(273\) | 1.34218 | + | 9.24990i | 0.0812322 | + | 0.559829i | ||||
\(274\) | −5.72464 | − | 4.27713i | −0.345838 | − | 0.258391i | ||||
\(275\) | −9.13562 | + | 6.00859i | −0.550899 | + | 0.362332i | ||||
\(276\) | −14.0039 | − | 14.1384i | −0.842935 | − | 0.851034i | ||||
\(277\) | −2.38601 | + | 2.52902i | −0.143361 | + | 0.151954i | −0.795075 | − | 0.606511i | \(-0.792569\pi\) |
0.651714 | + | 0.758465i | \(0.274050\pi\) | |||||||
\(278\) | −0.0464017 | + | 27.0336i | −0.00278299 | + | 1.62137i | ||||
\(279\) | −2.42910 | − | 13.9967i | −0.145426 | − | 0.837959i | ||||
\(280\) | −28.0964 | + | 23.3302i | −1.67908 | + | 1.39425i | ||||
\(281\) | −11.0344 | + | 16.7769i | −0.658254 | + | 1.00083i | 0.339921 | + | 0.940454i | \(0.389600\pi\) |
−0.998176 | + | 0.0603734i | \(0.980771\pi\) | |||||||
\(282\) | −17.3918 | + | 0.452713i | −1.03567 | + | 0.0269587i | ||||
\(283\) | 0.157022 | − | 1.34341i | 0.00933398 | − | 0.0798573i | −0.987768 | − | 0.155928i | \(-0.950163\pi\) |
0.997102 | + | 0.0760704i | \(0.0242374\pi\) | |||||||
\(284\) | −7.35699 | + | 1.71699i | −0.436557 | + | 0.101884i | ||||
\(285\) | −41.2567 | − | 32.7120i | −2.44383 | − | 1.93769i | ||||
\(286\) | 0.918406 | − | 2.11910i | 0.0543065 | − | 0.125305i | ||||
\(287\) | 0.440959 | + | 2.50080i | 0.0260290 | + | 0.147618i | ||||
\(288\) | 11.0544 | − | 12.8764i | 0.651386 | − | 0.758746i | ||||
\(289\) | 2.28633 | − | 12.9664i | 0.134490 | − | 0.762732i | ||||
\(290\) | 20.6318 | + | 13.6205i | 1.21154 | + | 0.799824i | ||||
\(291\) | 17.0090 | − | 24.2218i | 0.997086 | − | 1.41991i | ||||
\(292\) | −0.246355 | + | 0.328552i | −0.0144168 | + | 0.0192270i | ||||
\(293\) | −22.4631 | + | 21.1928i | −1.31231 | + | 1.23810i | −0.360002 | + | 0.932952i | \(0.617224\pi\) |
−0.952305 | + | 0.305146i | \(0.901295\pi\) | |||||||
\(294\) | −7.74327 | − | 1.62361i | −0.451597 | − | 0.0946911i | ||||
\(295\) | −26.5312 | − | 11.4444i | −1.54470 | − | 0.666320i | ||||
\(296\) | 12.9915 | − | 22.2366i | 0.755113 | − | 1.29248i | ||||
\(297\) | 4.97347 | + | 0.749064i | 0.288590 | + | 0.0434651i | ||||
\(298\) | −10.0636 | + | 27.5025i | −0.582968 | + | 1.59318i | ||||
\(299\) | −5.78780 | − | 7.77437i | −0.334717 | − | 0.449603i | ||||
\(300\) | −38.7462 | + | 5.48640i | −2.23701 | + | 0.316757i | ||||
\(301\) | 0.0242391 | − | 0.0809641i | 0.00139712 | − | 0.00466670i | ||||
\(302\) | −3.45722 | − | 14.6995i | −0.198940 | − | 0.845863i | ||||
\(303\) | 2.45239 | + | 9.20206i | 0.140886 | + | 0.528645i | ||||
\(304\) | 13.3329 | + | 27.0088i | 0.764696 | + | 1.54906i | ||||
\(305\) | 2.45079 | − | 2.92074i | 0.140332 | − | 0.167241i | ||||
\(306\) | 3.25648 | + | 7.64192i | 0.186161 | + | 0.436859i | ||||
\(307\) | 1.07337 | + | 1.27920i | 0.0612606 | + | 0.0730075i | 0.795805 | − | 0.605554i | \(-0.207048\pi\) |
−0.734544 | + | 0.678561i | \(0.762604\pi\) | |||||||
\(308\) | 4.48912 | + | 4.26449i | 0.255791 | + | 0.242992i | ||||
\(309\) | −2.83352 | + | 1.74247i | −0.161193 | + | 0.0991259i | ||||
\(310\) | 22.6121 | − | 14.8167i | 1.28428 | − | 0.841531i | ||||
\(311\) | −7.90575 | + | 10.6193i | −0.448294 | + | 0.602163i | −0.967620 | − | 0.252413i | \(-0.918776\pi\) |
0.519326 | + | 0.854576i | \(0.326183\pi\) | |||||||
\(312\) | 6.21012 | − | 5.45465i | 0.351579 | − | 0.308809i | ||||
\(313\) | −0.983307 | + | 16.8827i | −0.0555798 | + | 0.954269i | 0.849115 | + | 0.528208i | \(0.177136\pi\) |
−0.904695 | + | 0.426060i | \(0.859901\pi\) | |||||||
\(314\) | 1.85216 | − | 10.3997i | 0.104524 | − | 0.586890i | ||||
\(315\) | −28.1032 | − | 26.6576i | −1.58344 | − | 1.50199i | ||||
\(316\) | −11.7763 | − | 14.1327i | −0.662469 | − | 0.795027i | ||||
\(317\) | 8.95998 | − | 2.68244i | 0.503243 | − | 0.150661i | −0.0251120 | − | 0.999685i | \(-0.507994\pi\) |
0.528355 | + | 0.849024i | \(0.322809\pi\) | |||||||
\(318\) | 8.40509 | + | 2.27977i | 0.471334 | + | 0.127843i | ||||
\(319\) | 1.88115 | − | 3.74568i | 0.105324 | − | 0.209718i | ||||
\(320\) | 30.8415 | + | 9.58052i | 1.72409 | + | 0.535567i | ||||
\(321\) | 0.408100 | − | 13.4039i | 0.0227779 | − | 0.748135i | ||||
\(322\) | 24.9054 | − | 7.40963i | 1.38792 | − | 0.412923i | ||||
\(323\) | −14.7435 | −0.820352 | ||||||||
\(324\) | 14.9509 | + | 10.0235i | 0.830606 | + | 0.556861i | ||||
\(325\) | −19.0596 | −1.05724 | ||||||||
\(326\) | −28.2755 | + | 8.41228i | −1.56604 | + | 0.465913i | ||||
\(327\) | 16.7515 | + | 10.3637i | 0.926359 | + | 0.573112i | ||||
\(328\) | 1.64132 | − | 1.53261i | 0.0906267 | − | 0.0846241i | ||||
\(329\) | 10.1954 | − | 20.3008i | 0.562092 | − | 1.11922i | ||||
\(330\) | 2.44890 | + | 9.25276i | 0.134808 | + | 0.509348i | ||||
\(331\) | 3.22568 | − | 0.965706i | 0.177299 | − | 0.0530800i | −0.196923 | − | 0.980419i | \(-0.563095\pi\) |
0.374222 | + | 0.927339i | \(0.377910\pi\) | |||||||
\(332\) | 6.17585 | − | 5.14613i | 0.338944 | − | 0.282431i | ||||
\(333\) | 25.0525 | + | 10.8868i | 1.37287 | + | 0.596594i | ||||
\(334\) | 2.42258 | − | 13.6025i | 0.132557 | − | 0.744298i | ||||
\(335\) | −3.46011 | + | 59.4078i | −0.189046 | + | 3.24579i | ||||
\(336\) | 8.01194 | + | 20.6602i | 0.437087 | + | 1.12711i | ||||
\(337\) | −2.48633 | + | 3.33972i | −0.135439 | + | 0.181926i | −0.864668 | − | 0.502343i | \(-0.832471\pi\) |
0.729229 | + | 0.684270i | \(0.239879\pi\) | |||||||
\(338\) | −12.0103 | + | 7.86982i | −0.653276 | + | 0.428062i | ||||
\(339\) | −11.9570 | − | 6.46798i | −0.649415 | − | 0.351292i | ||||
\(340\) | −10.8876 | + | 11.4611i | −0.590461 | + | 0.621563i | ||||
\(341\) | −2.94621 | − | 3.51116i | −0.159546 | − | 0.190140i | ||||
\(342\) | −26.7690 | + | 17.4375i | −1.44750 | + | 0.942914i | ||||
\(343\) | −7.75093 | + | 9.23720i | −0.418511 | + | 0.498762i | ||||
\(344\) | −0.0717075 | + | 0.0210661i | −0.00386621 | + | 0.00113581i | ||||
\(345\) | 38.7843 | + | 10.4483i | 2.08807 | + | 0.562516i | ||||
\(346\) | 0.436588 | + | 1.85630i | 0.0234711 | + | 0.0997954i | ||||
\(347\) | −4.57793 | + | 15.2914i | −0.245756 | + | 0.820883i | 0.742732 | + | 0.669588i | \(0.233530\pi\) |
−0.988489 | + | 0.151295i | \(0.951656\pi\) | |||||||
\(348\) | 11.8112 | − | 9.24766i | 0.633147 | − | 0.495726i | ||||
\(349\) | −3.49198 | − | 4.69055i | −0.186922 | − | 0.251079i | 0.698777 | − | 0.715339i | \(-0.253728\pi\) |
−0.885699 | + | 0.464260i | \(0.846320\pi\) | |||||||
\(350\) | 17.5588 | − | 47.9860i | 0.938557 | − | 2.56496i | ||||
\(351\) | 6.52548 | + | 5.85464i | 0.348304 | + | 0.312498i | ||||
\(352\) | 0.997053 | − | 5.38395i | 0.0531431 | − | 0.286966i | ||||
\(353\) | −0.251081 | − | 0.108306i | −0.0133637 | − | 0.00576453i | 0.389387 | − | 0.921074i | \(-0.372687\pi\) |
−0.402751 | + | 0.915310i | \(0.631946\pi\) | |||||||
\(354\) | −11.6955 | + | 13.0613i | −0.621607 | + | 0.694198i | ||||
\(355\) | 11.0916 | − | 10.4644i | 0.588680 | − | 0.555391i | ||||
\(356\) | −13.0425 | − | 9.77951i | −0.691249 | − | 0.518313i | ||||
\(357\) | −10.8041 | − | 0.959915i | −0.571814 | − | 0.0508041i | ||||
\(358\) | 2.55178 | + | 1.68461i | 0.134866 | + | 0.0890345i | ||||
\(359\) | −1.84727 | + | 10.4764i | −0.0974953 | + | 0.552923i | 0.896459 | + | 0.443127i | \(0.146131\pi\) |
−0.993954 | + | 0.109796i | \(0.964980\pi\) | |||||||
\(360\) | −6.21267 | + | 33.6862i | −0.327437 | + | 1.77542i | ||||
\(361\) | −6.54700 | − | 37.1299i | −0.344579 | − | 1.95420i | ||||
\(362\) | −0.431363 | + | 0.995312i | −0.0226719 | + | 0.0523124i | ||||
\(363\) | −16.2070 | + | 6.41334i | −0.850646 | + | 0.336613i | ||||
\(364\) | 2.45291 | + | 10.5103i | 0.128567 | + | 0.550888i | ||||
\(365\) | 0.0962280 | − | 0.823283i | 0.00503680 | − | 0.0430926i | ||||
\(366\) | −1.20848 | − | 1.97276i | −0.0631685 | − | 0.103118i | ||||
\(367\) | −7.69073 | + | 11.6932i | −0.401453 | + | 0.610380i | −0.978479 | − | 0.206346i | \(-0.933843\pi\) |
0.577026 | + | 0.816726i | \(0.304213\pi\) | |||||||
\(368\) | −17.5006 | − | 14.8907i | −0.912284 | − | 0.776232i | ||||
\(369\) | 1.82046 | + | 1.53593i | 0.0947694 | + | 0.0799574i | ||||
\(370\) | −0.0892246 | + | 51.9823i | −0.00463857 | + | 2.70243i | ||||
\(371\) | −7.80360 | + | 8.27133i | −0.405143 | + | 0.429426i | ||||
\(372\) | −4.16975 | − | 15.8647i | −0.216192 | − | 0.822548i | ||||
\(373\) | 22.3785 | − | 14.7185i | 1.15871 | − | 0.762097i | 0.183424 | − | 0.983034i | \(-0.441282\pi\) |
0.975288 | + | 0.220937i | \(0.0709114\pi\) | |||||||
\(374\) | 2.14708 | + | 1.60418i | 0.111023 | + | 0.0829501i | ||||
\(375\) | 34.5722 | − | 27.2605i | 1.78530 | − | 1.40773i | ||||
\(376\) | −19.9651 | + | 2.22943i | −1.02962 | + | 0.114974i | ||||
\(377\) | 6.32730 | − | 3.65307i | 0.325873 | − | 0.188143i | ||||
\(378\) | −20.7518 | + | 11.0354i | −1.06735 | + | 0.567601i | ||||
\(379\) | 5.38448 | + | 3.10873i | 0.276582 | + | 0.159685i | 0.631875 | − | 0.775070i | \(-0.282286\pi\) |
−0.355293 | + | 0.934755i | \(0.615619\pi\) | |||||||
\(380\) | −50.6800 | − | 33.5826i | −2.59983 | − | 1.72275i | ||||
\(381\) | 3.13441 | − | 1.03394i | 0.160580 | − | 0.0529704i | ||||
\(382\) | −17.1261 | − | 2.03155i | −0.876246 | − | 0.103943i | ||||
\(383\) | −0.0747727 | − | 1.28380i | −0.00382071 | − | 0.0655990i | 0.995859 | − | 0.0909129i | \(-0.0289785\pi\) |
−0.999680 | + | 0.0253139i | \(0.991941\pi\) | |||||||
\(384\) | 11.4533 | − | 15.9004i | 0.584471 | − | 0.811414i | ||||
\(385\) | −12.1609 | − | 2.88219i | −0.619778 | − | 0.146890i | ||||
\(386\) | −6.24200 | + | 10.7687i | −0.317709 | + | 0.548114i | ||||
\(387\) | −0.0312015 | − | 0.0728728i | −0.00158606 | − | 0.00370433i | ||||
\(388\) | 17.1895 | − | 29.5385i | 0.872667 | − | 1.49959i | ||||
\(389\) | −1.32959 | − | 2.64744i | −0.0674131 | − | 0.134230i | 0.857402 | − | 0.514647i | \(-0.172077\pi\) |
−0.924815 | + | 0.380416i | \(0.875781\pi\) | |||||||
\(390\) | −5.29624 | + | 15.8206i | −0.268185 | + | 0.801108i | ||||
\(391\) | 10.3277 | − | 4.45494i | 0.522295 | − | 0.225296i | ||||
\(392\) | −9.06825 | − | 1.10729i | −0.458016 | − | 0.0559265i | ||||
\(393\) | 29.6285 | + | 9.86215i | 1.49456 | + | 0.497480i | ||||
\(394\) | −1.88604 | − | 16.3799i | −0.0950174 | − | 0.825207i | ||||
\(395\) | 34.8923 | + | 12.6998i | 1.75562 | + | 0.638994i | ||||
\(396\) | 5.79564 | + | 0.373213i | 0.291242 | + | 0.0187546i | ||||
\(397\) | 5.74124 | − | 2.08964i | 0.288145 | − | 0.104876i | −0.193904 | − | 0.981020i | \(-0.562115\pi\) |
0.482049 | + | 0.876144i | \(0.339893\pi\) | |||||||
\(398\) | 6.60084 | + | 13.1998i | 0.330870 | + | 0.661646i | ||||
\(399\) | −3.57973 | − | 41.5617i | −0.179211 | − | 2.08069i | ||||
\(400\) | −44.0391 | + | 10.1186i | −2.20195 | + | 0.505931i | ||||
\(401\) | −7.77020 | − | 32.7851i | −0.388025 | − | 1.63721i | −0.720040 | − | 0.693933i | \(-0.755876\pi\) |
0.332014 | − | 0.943274i | \(-0.392272\pi\) | |||||||
\(402\) | 33.5160 | + | 13.4341i | 1.67163 | + | 0.670033i | ||||
\(403\) | −0.927508 | − | 7.93534i | −0.0462025 | − | 0.395287i | ||||
\(404\) | 3.72553 | + | 10.3462i | 0.185352 | + | 0.514741i | ||||
\(405\) | −36.2588 | − | 2.30808i | −1.80171 | − | 0.114689i | ||||
\(406\) | 3.36818 | + | 19.2955i | 0.167160 | + | 0.957621i | ||||
\(407\) | 8.75376 | − | 1.02317i | 0.433908 | − | 0.0507165i | ||||
\(408\) | 4.49737 | + | 8.47222i | 0.222653 | + | 0.419437i | ||||
\(409\) | −2.75688 | + | 0.653393i | −0.136319 | + | 0.0323082i | −0.298209 | − | 0.954501i | \(-0.596389\pi\) |
0.161890 | + | 0.986809i | \(0.448241\pi\) | |||||||
\(410\) | −1.30744 | + | 4.34003i | −0.0645698 | + | 0.214339i | ||||
\(411\) | 3.70946 | − | 7.92704i | 0.182974 | − | 0.391012i | ||||
\(412\) | −3.08882 | + | 2.28311i | −0.152175 | + | 0.112481i | ||||
\(413\) | −7.82979 | − | 21.5122i | −0.385279 | − | 1.05855i | ||||
\(414\) | 13.4825 | − | 20.3034i | 0.662628 | − | 0.997859i | ||||
\(415\) | −5.54967 | + | 15.2476i | −0.272423 | + | 0.748475i | ||||
\(416\) | 6.60896 | − | 6.88573i | 0.324031 | − | 0.337601i | ||||
\(417\) | −32.4343 | + | 6.65158i | −1.58832 | + | 0.325729i | ||||
\(418\) | −4.64193 | + | 9.20342i | −0.227044 | + | 0.450154i | ||||
\(419\) | 1.30611 | + | 3.02791i | 0.0638077 | + | 0.147923i | 0.947136 | − | 0.320831i | \(-0.103962\pi\) |
−0.883329 | + | 0.468754i | \(0.844703\pi\) | |||||||
\(420\) | −34.9520 | − | 27.9091i | −1.70548 | − | 1.36182i | ||||
\(421\) | −16.5865 | + | 8.33004i | −0.808375 | + | 0.405981i | −0.804457 | − | 0.594011i | \(-0.797544\pi\) |
−0.00391833 | + | 0.999992i | \(0.501247\pi\) | |||||||
\(422\) | −18.8180 | + | 22.3485i | −0.916048 | + | 1.08791i | ||||
\(423\) | −4.85799 | − | 20.7466i | −0.236204 | − | 1.00873i | ||||
\(424\) | 9.89414 | + | 1.79718i | 0.480502 | + | 0.0872790i | ||||
\(425\) | 5.10080 | − | 21.5220i | 0.247425 | − | 1.04397i | ||||
\(426\) | −3.88459 | − | 8.39762i | −0.188209 | − | 0.406866i | ||||
\(427\) | 3.01572 | − | 0.175646i | 0.145941 | − | 0.00850009i | ||||
\(428\) | −0.847283 | − | 15.4615i | −0.0409550 | − | 0.747360i | ||||
\(429\) | 2.76940 | + | 0.575730i | 0.133708 | + | 0.0277965i | ||||
\(430\) | 0.103711 | − | 0.109550i | 0.00500140 | − | 0.00528298i | ||||
\(431\) | 9.52837 | − | 16.5036i | 0.458965 | − | 0.794951i | −0.539941 | − | 0.841703i | \(-0.681554\pi\) |
0.998907 | + | 0.0467514i | \(0.0148869\pi\) | |||||||
\(432\) | 18.1859 | + | 10.0634i | 0.874971 | + | 0.484175i | ||||
\(433\) | 10.8493 | + | 18.7915i | 0.521384 | + | 0.903063i | 0.999691 | + | 0.0248706i | \(0.00791738\pi\) |
−0.478307 | + | 0.878193i | \(0.658749\pi\) | |||||||
\(434\) | 20.8331 | + | 4.97532i | 1.00002 | + | 0.238823i | ||||
\(435\) | −11.2169 | + | 28.1241i | −0.537809 | + | 1.34845i | ||||
\(436\) | 20.2909 | + | 10.2779i | 0.971760 | + | 0.492221i | ||||
\(437\) | 23.7704 | + | 36.1411i | 1.13709 | + | 1.72886i | ||||
\(438\) | −0.455171 | − | 0.213950i | −0.0217489 | − | 0.0102229i | ||||
\(439\) | 16.8350 | + | 15.8830i | 0.803492 | + | 0.758056i | 0.973817 | − | 0.227332i | \(-0.0730003\pi\) |
−0.170325 | + | 0.985388i | \(0.554482\pi\) | |||||||
\(440\) | 3.72649 | + | 10.4049i | 0.177654 | + | 0.496032i | ||||
\(441\) | 0.0261248 | − | 9.68973i | 0.00124404 | − | 0.461416i | ||||
\(442\) | 1.59029 | + | 4.39274i | 0.0756426 | + | 0.208941i | ||||
\(443\) | −4.76718 | − | 3.13542i | −0.226496 | − | 0.148969i | 0.431190 | − | 0.902261i | \(-0.358094\pi\) |
−0.657685 | + | 0.753293i | \(0.728464\pi\) | |||||||
\(444\) | 29.8928 | + | 10.0643i | 1.41865 | + | 0.477629i | ||||
\(445\) | 32.6817 | + | 3.81994i | 1.54926 | + | 0.181083i | ||||
\(446\) | 27.6618 | − | 1.56348i | 1.30982 | − | 0.0740329i | ||||
\(447\) | −35.4820 | − | 5.24622i | −1.67824 | − | 0.248138i | ||||
\(448\) | 11.2475 | + | 22.9828i | 0.531395 | + | 1.08583i | ||||
\(449\) | 5.42615 | − | 0.956777i | 0.256076 | − | 0.0451531i | −0.0441363 | − | 0.999026i | \(-0.514054\pi\) |
0.300212 | + | 0.953872i | \(0.402942\pi\) | |||||||
\(450\) | −16.1933 | − | 45.1091i | −0.763360 | − | 2.12646i | ||||
\(451\) | 0.756818 | + | 0.133447i | 0.0356372 | + | 0.00628380i | ||||
\(452\) | −14.3921 | − | 6.26684i | −0.676948 | − | 0.294767i | ||||
\(453\) | 16.7721 | − | 7.79347i | 0.788024 | − | 0.366169i | ||||
\(454\) | 14.8202 | + | 15.7626i | 0.695544 | + | 0.739774i | ||||
\(455\) | −14.9495 | − | 15.8455i | −0.700844 | − | 0.742851i | ||||
\(456\) | −29.0851 | + | 22.6919i | −1.36203 | + | 1.06265i | ||||
\(457\) | −1.99918 | + | 4.63462i | −0.0935178 | + | 0.216799i | −0.958554 | − | 0.284911i | \(-0.908036\pi\) |
0.865036 | + | 0.501709i | \(0.167295\pi\) | |||||||
\(458\) | 25.1673 | − | 21.0443i | 1.17599 | − | 0.983337i | ||||
\(459\) | −8.35739 | + | 5.80168i | −0.390089 | + | 0.270799i | ||||
\(460\) | 45.6483 | + | 8.21070i | 2.12836 | + | 0.382826i | ||||
\(461\) | 30.4564 | − | 22.6740i | 1.41850 | − | 1.05603i | 0.430325 | − | 0.902674i | \(-0.358399\pi\) |
0.988171 | − | 0.153357i | \(-0.0490086\pi\) | |||||||
\(462\) | −4.00084 | + | 6.44208i | −0.186136 | + | 0.299712i | ||||
\(463\) | −9.00206 | − | 2.69504i | −0.418361 | − | 0.125249i | 0.0707020 | − | 0.997497i | \(-0.477476\pi\) |
−0.489063 | + | 0.872248i | \(0.662661\pi\) | |||||||
\(464\) | 12.6805 | − | 11.7999i | 0.588675 | − | 0.547796i | ||||
\(465\) | 23.3806 | + | 23.4437i | 1.08425 | + | 1.08718i | ||||
\(466\) | 14.0459 | + | 0.842272i | 0.650662 | + | 0.0390175i | ||||
\(467\) | −17.7879 | − | 14.9258i | −0.823127 | − | 0.690686i | 0.130575 | − | 0.991438i | \(-0.458318\pi\) |
−0.953702 | + | 0.300753i | \(0.902762\pi\) | |||||||
\(468\) | 8.08281 | + | 6.09478i | 0.373628 | + | 0.281731i | ||||
\(469\) | −36.1177 | + | 30.3063i | −1.66776 | + | 1.39942i | ||||
\(470\) | 32.5669 | − | 24.1584i | 1.50220 | − | 1.11434i | ||||
\(471\) | 12.9325 | − | 0.358848i | 0.595896 | − | 0.0165349i | ||||
\(472\) | −12.1726 | + | 16.1761i | −0.560291 | + | 0.744567i | ||||
\(473\) | −0.0205157 | − | 0.0152733i | −0.000943311 | − | 0.000702269i | ||||
\(474\) | 14.0283 | − | 17.6304i | 0.644341 | − | 0.809789i | ||||
\(475\) | 84.9211 | + | 4.94609i | 3.89645 | + | 0.226942i | ||||
\(476\) | −12.5246 | − | 0.0429955i | −0.574063 | − | 0.00197070i | ||||
\(477\) | −0.648881 | + | 10.6463i | −0.0297102 | + | 0.487460i | ||||
\(478\) | 4.59443 | + | 7.98942i | 0.210144 | + | 0.365428i | ||||
\(479\) | −4.10984 | − | 13.7278i | −0.187783 | − | 0.627240i | −0.999091 | − | 0.0426210i | \(-0.986429\pi\) |
0.811308 | − | 0.584619i | \(-0.198756\pi\) | |||||||
\(480\) | −3.83842 | + | 39.3668i | −0.175199 | + | 1.79684i | ||||
\(481\) | 13.7283 | + | 6.89460i | 0.625955 | + | 0.314367i | ||||
\(482\) | 7.75208 | + | 18.0565i | 0.353097 | + | 0.822450i | ||||
\(483\) | 15.0660 | + | 28.0320i | 0.685525 | + | 1.27550i | ||||
\(484\) | −18.0163 | + | 8.97082i | −0.818923 | + | 0.407765i | ||||
\(485\) | 68.9829i | 3.13235i | ||||||||
\(486\) | −8.31227 | + | 20.4183i | −0.377052 | + | 0.926192i | ||||
\(487\) | − | 2.48820i | − | 0.112751i | −0.998410 | − | 0.0563756i | \(-0.982046\pi\) | ||
0.998410 | − | 0.0563756i | \(-0.0179544\pi\) | |||||||
\(488\) | −1.58418 | − | 2.15096i | −0.0717125 | − | 0.0973694i | ||||
\(489\) | −17.1046 | − | 31.8251i | −0.773498 | − | 1.43918i | ||||
\(490\) | 16.9442 | − | 7.27456i | 0.765462 | − | 0.328631i | ||||
\(491\) | −12.7872 | − | 6.42199i | −0.577080 | − | 0.289821i | 0.136221 | − | 0.990679i | \(-0.456504\pi\) |
−0.713301 | + | 0.700858i | \(0.752801\pi\) | |||||||
\(492\) | 2.24536 | + | 1.58827i | 0.101228 | + | 0.0716046i | ||||
\(493\) | 2.43168 | + | 8.12239i | 0.109518 | + | 0.365814i | ||||
\(494\) | −15.5755 | + | 8.95690i | −0.700774 | + | 0.402990i | ||||
\(495\) | −10.4897 | + | 5.23277i | −0.471478 | + | 0.235196i | ||||
\(496\) | −6.35592 | − | 17.8430i | −0.285389 | − | 0.801173i | ||||
\(497\) | 12.0611 | + | 0.702480i | 0.541015 | + | 0.0315105i | ||||
\(498\) | 7.70429 | + | 6.13023i | 0.345238 | + | 0.274702i | ||||
\(499\) | 2.30989 | + | 1.71965i | 0.103405 | + | 0.0769821i | 0.647619 | − | 0.761964i | \(-0.275765\pi\) |
−0.544214 | + | 0.838946i | \(0.683172\pi\) | |||||||
\(500\) | 37.0977 | − | 34.7599i | 1.65906 | − | 1.55451i | ||||
\(501\) | 16.9153 | − | 0.469363i | 0.755719 | − | 0.0209696i | ||||
\(502\) | 3.46306 | + | 4.66840i | 0.154564 | + | 0.208361i | ||||
\(503\) | 13.3937 | − | 11.2386i | 0.597194 | − | 0.501105i | −0.293348 | − | 0.956006i | \(-0.594770\pi\) |
0.890542 | + | 0.454900i | \(0.150325\pi\) | |||||||
\(504\) | −22.7911 | + | 14.7351i | −1.01519 | + | 0.656352i | ||||
\(505\) | −17.0031 | − | 14.2673i | −0.756626 | − | 0.634885i | ||||
\(506\) | 0.470703 | − | 7.84953i | 0.0209253 | − | 0.348954i | ||||
\(507\) | −12.4185 | − | 12.4521i | −0.551526 | − | 0.553015i | ||||
\(508\) | 3.50460 | − | 1.49749i | 0.155492 | − | 0.0664403i | ||||
\(509\) | 14.5920 | + | 4.36856i | 0.646780 | + | 0.193633i | 0.593358 | − | 0.804939i | \(-0.297802\pi\) |
0.0534220 | + | 0.998572i | \(0.482987\pi\) | |||||||
\(510\) | −16.4471 | − | 10.2144i | −0.728290 | − | 0.452303i | ||||
\(511\) | 0.526773 | − | 0.392168i | 0.0233031 | − | 0.0173485i | ||||
\(512\) | 11.6151 | − | 19.4188i | 0.513318 | − | 0.858198i | ||||
\(513\) | −27.5553 | − | 27.7791i | −1.21660 | − | 1.22648i | ||||
\(514\) | −18.5686 | − | 22.2064i | −0.819024 | − | 0.979484i | ||||
\(515\) | 3.07077 | − | 7.11886i | 0.135314 | − | 0.313694i | ||||
\(516\) | −0.0430568 | − | 0.0807759i | −0.00189547 | − | 0.00355596i | ||||
\(517\) | −4.71783 | − | 5.00061i | −0.207490 | − | 0.219927i | ||||
\(518\) | −30.0057 | + | 28.2117i | −1.31837 | + | 1.23955i | ||||
\(519\) | −2.11804 | + | 0.984183i | −0.0929715 | + | 0.0432008i | ||||
\(520\) | −4.53917 | + | 18.7221i | −0.199056 | + | 0.821020i | ||||
\(521\) | −21.7399 | − | 3.83334i | −0.952444 | − | 0.167942i | −0.324227 | − | 0.945979i | \(-0.605104\pi\) |
−0.628218 | + | 0.778038i | \(0.716215\pi\) | |||||||
\(522\) | 14.0216 | + | 11.8714i | 0.613710 | + | 0.519596i | ||||
\(523\) | 30.1746 | − | 5.32059i | 1.31944 | − | 0.232653i | 0.530796 | − | 0.847500i | \(-0.321893\pi\) |
0.788647 | + | 0.614847i | \(0.210782\pi\) | |||||||
\(524\) | 35.0568 | + | 8.43583i | 1.53146 | + | 0.368521i | ||||
\(525\) | 61.9085 | + | 9.15352i | 2.70191 | + | 0.399492i | ||||
\(526\) | −0.338303 | − | 5.98541i | −0.0147507 | − | 0.260976i | ||||
\(527\) | 9.20875 | + | 1.07635i | 0.401139 | + | 0.0468865i | ||||
\(528\) | 6.70463 | − | 0.139979i | 0.291781 | − | 0.00609182i | ||||
\(529\) | −8.35518 | − | 5.49529i | −0.363269 | − | 0.238926i | ||||
\(530\) | −19.0854 | + | 6.90946i | −0.829019 | + | 0.300128i | ||||
\(531\) | −18.5668 | − | 10.7864i | −0.805729 | − | 0.468089i | ||||
\(532\) | −8.20157 | − | 47.4657i | −0.355583 | − | 2.05790i | ||||
\(533\) | 0.974347 | + | 0.919249i | 0.0422036 | + | 0.0398171i | ||||
\(534\) | 8.49315 | − | 18.0688i | 0.367535 | − | 0.781915i | ||||
\(535\) | 17.1750 | + | 26.1133i | 0.742540 | + | 1.12898i | ||||
\(536\) | 39.8804 | + | 12.1635i | 1.72257 | + | 0.525384i | ||||
\(537\) | −1.38733 | + | 3.47844i | −0.0598676 | + | 0.150106i | ||||
\(538\) | 8.45223 | − | 35.3920i | 0.364402 | − | 1.52586i | ||||
\(539\) | −1.56319 | − | 2.70752i | −0.0673312 | − | 0.116621i | ||||
\(540\) | −41.9430 | + | 0.906603i | −1.80494 | + | 0.0390140i | ||||
\(541\) | −8.40440 | + | 14.5568i | −0.361333 | + | 0.625847i | −0.988181 | − | 0.153295i | \(-0.951012\pi\) |
0.626847 | + | 0.779142i | \(0.284345\pi\) | |||||||
\(542\) | 21.7925 | + | 20.6310i | 0.936069 | + | 0.886177i | ||||
\(543\) | −1.30075 | − | 0.270412i | −0.0558206 | − | 0.0116045i | ||||
\(544\) | 6.00660 | + | 9.30558i | 0.257531 | + | 0.398973i | ||||
\(545\) | −45.8331 | + | 2.66947i | −1.96327 | + | 0.114348i | ||||
\(546\) | −11.9969 | + | 5.54957i | −0.513421 | + | 0.237499i | ||||
\(547\) | 2.28592 | − | 9.64506i | 0.0977389 | − | 0.412393i | −0.902077 | − | 0.431575i | \(-0.857958\pi\) |
0.999816 | + | 0.0191821i | \(0.00610622\pi\) | |||||||
\(548\) | 3.48903 | − | 9.48459i | 0.149044 | − | 0.405162i | ||||
\(549\) | 2.06619 | − | 1.93885i | 0.0881830 | − | 0.0827481i | ||||
\(550\) | −11.8288 | − | 9.96018i | −0.504381 | − | 0.424704i | ||||
\(551\) | −29.1396 | + | 14.6345i | −1.24139 | + | 0.623450i | ||||
\(552\) | 13.5172 | − | 24.6839i | 0.575329 | − | 1.05062i | ||||
\(553\) | 11.6524 | + | 27.0132i | 0.495508 | + | 1.14872i | ||||
\(554\) | −4.39029 | − | 2.21433i | −0.186526 | − | 0.0940780i | ||||
\(555\) | −62.3672 | + | 12.7902i | −2.64734 | + | 0.542912i | ||||
\(556\) | −36.6627 | + | 10.8391i | −1.55485 | + | 0.459680i | ||||
\(557\) | −4.83448 | + | 13.2826i | −0.204843 | + | 0.562803i | −0.998990 | − | 0.0449230i | \(-0.985696\pi\) |
0.794147 | + | 0.607726i | \(0.207918\pi\) | |||||||
\(558\) | 17.9928 | − | 8.93715i | 0.761698 | − | 0.378340i | ||||
\(559\) | −0.0152480 | − | 0.0418935i | −0.000644920 | − | 0.00177190i | ||||
\(560\) | −42.9546 | − | 28.6761i | −1.81516 | − | 1.21179i | ||||
\(561\) | −1.39127 | + | 2.97311i | −0.0587393 | + | 0.125525i | ||||
\(562\) | −27.1909 | − | 8.19131i | −1.14698 | − | 0.345530i | ||||
\(563\) | −30.4102 | + | 7.20735i | −1.28164 | + | 0.303754i | −0.814361 | − | 0.580358i | \(-0.802913\pi\) |
−0.467276 | + | 0.884112i | \(0.654764\pi\) | |||||||
\(564\) | −7.62734 | − | 23.3920i | −0.321169 | − | 0.984981i | ||||
\(565\) | 31.4701 | − | 3.67833i | 1.32396 | − | 0.154748i | ||||
\(566\) | 1.88431 | − | 0.328920i | 0.0792033 | − | 0.0138256i | ||||
\(567\) | −18.3840 | − | 22.1507i | −0.772055 | − | 0.930241i | ||||
\(568\) | −5.29426 | − | 9.27996i | −0.222142 | − | 0.389378i | ||||
\(569\) | −2.80513 | − | 23.9994i | −0.117597 | − | 1.00611i | −0.915221 | − | 0.402953i | \(-0.867984\pi\) |
0.797623 | − | 0.603156i | \(-0.206090\pi\) | |||||||
\(570\) | 27.7032 | − | 69.1152i | 1.16036 | − | 2.89492i | ||||
\(571\) | 6.64849 | + | 28.0522i | 0.278231 | + | 1.17395i | 0.915181 | + | 0.403043i | \(0.132047\pi\) |
−0.636951 | + | 0.770905i | \(0.719805\pi\) | |||||||
\(572\) | 3.24280 | + | 0.390317i | 0.135588 | + | 0.0163200i | ||||
\(573\) | −1.81255 | − | 21.0442i | −0.0757203 | − | 0.879135i | ||||
\(574\) | −3.21200 | + | 1.60623i | −0.134066 | + | 0.0670427i | ||||
\(575\) | −60.9810 | + | 22.1953i | −2.54308 | + | 0.925606i | ||||
\(576\) | 21.9118 | + | 9.79147i | 0.912992 | + | 0.407978i | ||||
\(577\) | 3.24649 | + | 1.18162i | 0.135153 | + | 0.0491916i | 0.408711 | − | 0.912664i | \(-0.365978\pi\) |
−0.273558 | + | 0.961855i | \(0.588201\pi\) | |||||||
\(578\) | 18.4980 | − | 2.12993i | 0.769414 | − | 0.0885932i | ||||
\(579\) | −14.4642 | − | 4.81455i | −0.601110 | − | 0.200086i | ||||
\(580\) | −10.1423 | + | 33.4591i | −0.421135 | + | 1.38931i | ||||
\(581\) | −11.8045 | + | 5.09196i | −0.489733 | + | 0.211250i | ||||
\(582\) | 39.6919 | + | 13.2876i | 1.64528 | + | 0.550788i | ||||
\(583\) | 1.54448 | + | 3.07531i | 0.0639659 | + | 0.127367i | ||||
\(584\) | −0.544699 | − | 0.201437i | −0.0225398 | − | 0.00833551i | ||||
\(585\) | −20.2885 | − | 2.42685i | −0.838826 | − | 0.100338i | ||||
\(586\) | −37.7856 | − | 21.9021i | −1.56091 | − | 0.904767i | ||||
\(587\) | 36.7619 | + | 8.71273i | 1.51733 | + | 0.359613i | 0.903070 | − | 0.429494i | \(-0.141308\pi\) |
0.614256 | + | 0.789106i | \(0.289456\pi\) | |||||||
\(588\) | −0.921866 | − | 11.1507i | −0.0380171 | − | 0.459849i | ||||
\(589\) | 2.07329 | + | 35.5970i | 0.0854285 | + | 1.46675i | ||||
\(590\) | 4.81352 | − | 40.5781i | 0.198170 | − | 1.67058i | ||||
\(591\) | 19.1773 | − | 6.32599i | 0.788849 | − | 0.260216i | ||||
\(592\) | 35.3808 | + | 8.64239i | 1.45414 | + | 0.355200i | ||||
\(593\) | 17.9786 | + | 10.3800i | 0.738293 | + | 0.426254i | 0.821449 | − | 0.570283i | \(-0.193166\pi\) |
−0.0831551 | + | 0.996537i | \(0.526500\pi\) | |||||||
\(594\) | 0.990324 | + | 7.04360i | 0.0406335 | + | 0.289003i | ||||
\(595\) | 21.8935 | − | 12.6402i | 0.897547 | − | 0.518199i | ||||
\(596\) | −41.3379 | − | 2.55008i | −1.69327 | − | 0.104455i | ||||
\(597\) | −14.1935 | + | 11.1917i | −0.580900 | + | 0.458045i | ||||
\(598\) | 8.20405 | − | 10.9805i | 0.335488 | − | 0.449028i | ||||
\(599\) | 29.5693 | − | 19.4480i | 1.20817 | − | 0.794624i | 0.224475 | − | 0.974480i | \(-0.427933\pi\) |
0.983693 | + | 0.179855i | \(0.0575630\pi\) | |||||||
\(600\) | −23.0622 | − | 50.3078i | −0.941509 | − | 2.05381i | ||||
\(601\) | 12.7594 | − | 13.5242i | 0.520467 | − | 0.551663i | −0.412811 | − | 0.910817i | \(-0.635453\pi\) |
0.933279 | + | 0.359153i | \(0.116935\pi\) | |||||||
\(602\) | 0.119522 | 0.000205152i | 0.00487134 | 8.36136e-6i | ||||||
\(603\) | −7.79668 | + | 43.5306i | −0.317505 | + | 1.77270i | ||||
\(604\) | 18.5309 | − | 10.6142i | 0.754014 | − | 0.431885i | ||||
\(605\) | 22.3231 | − | 33.9407i | 0.907565 | − | 1.37988i | ||||
\(606\) | −11.4844 | + | 7.03517i | −0.466521 | + | 0.285784i | ||||
\(607\) | 2.66915 | − | 22.8360i | 0.108337 | − | 0.926885i | −0.824321 | − | 0.566123i | \(-0.808443\pi\) |
0.932658 | − | 0.360762i | \(-0.117483\pi\) | |||||||
\(608\) | −31.2335 | + | 28.9647i | −1.26669 | + | 1.17467i | ||||
\(609\) | −22.3064 | + | 8.82699i | −0.903903 | + | 0.357688i | ||||
\(610\) | 4.94740 | + | 2.14418i | 0.200314 | + | 0.0868153i | ||||
\(611\) | −2.08090 | − | 11.8014i | −0.0841843 | − | 0.477433i | ||||
\(612\) | −9.04533 | + | 7.49594i | −0.365636 | + | 0.303006i | ||||
\(613\) | 1.70092 | − | 9.64638i | 0.0686994 | − | 0.389613i | −0.930998 | − | 0.365024i | \(-0.881061\pi\) |
0.999698 | − | 0.0245899i | \(-0.00782798\pi\) | |||||||
\(614\) | −1.30108 | + | 1.97082i | −0.0525073 | + | 0.0795358i | ||||
\(615\) | −5.52960 | − | 0.491289i | −0.222975 | − | 0.0198107i | ||||
\(616\) | −3.97015 | + | 7.80474i | −0.159962 | + | 0.314462i | ||||
\(617\) | −15.0552 | + | 14.2039i | −0.606100 | + | 0.571826i | −0.926894 | − | 0.375323i | \(-0.877532\pi\) |
0.320794 | + | 0.947149i | \(0.396050\pi\) | |||||||
\(618\) | −3.50460 | − | 3.13813i | −0.140976 | − | 0.126234i | ||||
\(619\) | 9.84716 | + | 4.24765i | 0.395791 | + | 0.170727i | 0.584667 | − | 0.811273i | \(-0.301225\pi\) |
−0.188876 | + | 0.982001i | \(0.560484\pi\) | |||||||
\(620\) | 29.2028 | + | 24.6754i | 1.17281 | + | 0.990989i | ||||
\(621\) | 27.6960 | + | 11.1328i | 1.11140 | + | 0.446745i | ||||
\(622\) | −17.5826 | − | 6.43373i | −0.704997 | − | 0.257969i | ||||
\(623\) | 15.5678 | + | 20.9112i | 0.623712 | + | 0.837790i | ||||
\(624\) | 9.89814 | + | 6.21807i | 0.396243 | + | 0.248922i | ||||
\(625\) | −13.2305 | + | 44.1929i | −0.529219 | + | 1.76771i | ||||
\(626\) | −23.2810 | + | 5.47552i | −0.930497 | + | 0.218846i | ||||
\(627\) | −12.1898 | − | 3.28387i | −0.486815 | − | 0.131145i | ||||
\(628\) | 14.8437 | − | 1.68335i | 0.592329 | − | 0.0671730i | ||||
\(629\) | −11.4593 | + | 13.6567i | −0.456914 | + | 0.544529i | ||||
\(630\) | 24.8010 | − | 48.8442i | 0.988094 | − | 1.94600i | ||||
\(631\) | 27.0253 | + | 32.2075i | 1.07586 | + | 1.28216i | 0.957263 | + | 0.289220i | \(0.0933958\pi\) |
0.118599 | + | 0.992942i | \(0.462160\pi\) | |||||||
\(632\) | 14.4077 | − | 21.6621i | 0.573109 | − | 0.861672i | ||||
\(633\) | −31.4725 | − | 17.0246i | −1.25092 | − | 0.676669i | ||||
\(634\) | 7.24938 | + | 11.0635i | 0.287910 | + | 0.439386i | ||||
\(635\) | −4.59370 | + | 6.17041i | −0.182295 | + | 0.244865i | ||||
\(636\) | 0.299348 | + | 12.3124i | 0.0118699 | + | 0.488220i | ||||
\(637\) | 0.316860 | − | 5.44028i | 0.0125545 | − | 0.215552i | ||||
\(638\) | 5.83588 | + | 1.03935i | 0.231045 | + | 0.0411484i | ||||
\(639\) | 9.10790 | − | 6.74249i | 0.360303 | − | 0.266729i | ||||
\(640\) | −0.548744 | + | 45.6691i | −0.0216910 | + | 1.80523i | ||||
\(641\) | −20.0381 | + | 5.99902i | −0.791458 | + | 0.236947i | −0.656919 | − | 0.753961i | \(-0.728141\pi\) |
−0.134539 | + | 0.990908i | \(0.542955\pi\) | |||||||
\(642\) | 18.3336 | − | 4.85229i | 0.723568 | − | 0.191505i | ||||
\(643\) | 14.3563 | − | 28.5856i | 0.566155 | − | 1.12731i | −0.410373 | − | 0.911918i | \(-0.634601\pi\) |
0.976528 | − | 0.215390i | \(-0.0691023\pi\) | |||||||
\(644\) | 20.0875 | + | 30.7711i | 0.791557 | + | 1.21255i | ||||
\(645\) | 0.157121 | + | 0.0972060i | 0.00618661 | + | 0.00382748i | ||||
\(646\) | −5.94570 | − | 19.9848i | −0.233930 | − | 0.786291i | ||||
\(647\) | −29.0957 | −1.14387 | −0.571935 | − | 0.820299i | \(-0.693807\pi\) | ||||
−0.571935 | + | 0.820299i | \(0.693807\pi\) | |||||||
\(648\) | −7.55748 | + | 24.3081i | −0.296886 | + | 0.954913i | ||||
\(649\) | −6.92805 | −0.271950 | ||||||||
\(650\) | −7.68626 | − | 25.8352i | −0.301480 | − | 1.01334i | ||||
\(651\) | −0.798321 | + | 26.2206i | −0.0312887 | + | 1.02767i | ||||
\(652\) | −22.8056 | − | 34.9349i | −0.893137 | − | 1.36816i | ||||
\(653\) | −5.37024 | + | 10.6930i | −0.210154 | + | 0.418451i | −0.973871 | − | 0.227100i | \(-0.927076\pi\) |
0.763718 | + | 0.645550i | \(0.223372\pi\) | |||||||
\(654\) | −7.29246 | + | 26.8860i | −0.285158 | + | 1.05132i | ||||
\(655\) | −69.7229 | + | 20.8737i | −2.72430 | + | 0.815602i | ||||
\(656\) | 2.73935 | + | 1.60674i | 0.106953 | + | 0.0627326i | ||||
\(657\) | 0.143671 | − | 0.598993i | 0.00560513 | − | 0.0233689i | ||||
\(658\) | 31.6291 | + | 5.63307i | 1.23303 | + | 0.219600i | ||||
\(659\) | 2.06748 | − | 35.4973i | 0.0805377 | − | 1.38278i | −0.679870 | − | 0.733333i | \(-0.737964\pi\) |
0.760408 | − | 0.649446i | \(-0.224999\pi\) | |||||||
\(660\) | −11.5545 | + | 7.05089i | −0.449758 | + | 0.274455i | ||||
\(661\) | 10.0598 | − | 13.5127i | 0.391282 | − | 0.525584i | −0.562212 | − | 0.826993i | \(-0.690050\pi\) |
0.953495 | + | 0.301409i | \(0.0974571\pi\) | |||||||
\(662\) | 2.60985 | + | 3.98295i | 0.101435 | + | 0.154802i | ||||
\(663\) | −4.87388 | + | 2.99719i | −0.189286 | + | 0.116401i | ||||
\(664\) | 9.46613 | + | 6.29604i | 0.367357 | + | 0.244334i | ||||
\(665\) | 62.4963 | + | 74.4802i | 2.42350 | + | 2.88822i | ||||
\(666\) | −4.65397 | + | 38.3490i | −0.180338 | + | 1.48599i | ||||
\(667\) | 15.9901 | − | 19.0562i | 0.619138 | − | 0.737860i | ||||
\(668\) | 19.4151 | − | 2.20177i | 0.751195 | − | 0.0851891i | ||||
\(669\) | 8.73824 | + | 32.7883i | 0.337840 | + | 1.26767i | ||||
\(670\) | −81.9224 | + | 19.2675i | −3.16494 | + | 0.744369i | ||||
\(671\) | 0.262194 | − | 0.875790i | 0.0101219 | − | 0.0338095i | ||||
\(672\) | −24.7738 | + | 19.1919i | −0.955672 | + | 0.740344i | ||||
\(673\) | −12.7412 | − | 17.1144i | −0.491138 | − | 0.659713i | 0.485592 | − | 0.874186i | \(-0.338604\pi\) |
−0.976730 | + | 0.214473i | \(0.931197\pi\) | |||||||
\(674\) | −5.52966 | − | 2.02339i | −0.212994 | − | 0.0779379i | ||||
\(675\) | 50.0840 | − | 30.6133i | 1.92773 | − | 1.17831i | ||||
\(676\) | −15.5110 | − | 13.1063i | −0.596576 | − | 0.504087i | ||||
\(677\) | −14.3199 | − | 6.17700i | −0.550358 | − | 0.237401i | 0.102696 | − | 0.994713i | \(-0.467253\pi\) |
−0.653054 | + | 0.757312i | \(0.726512\pi\) | |||||||
\(678\) | 3.94536 | − | 18.8160i | 0.151521 | − | 0.722626i | ||||
\(679\) | −39.7545 | + | 37.5064i | −1.52564 | + | 1.43936i | ||||
\(680\) | −19.9261 | − | 10.1361i | −0.764131 | − | 0.388701i | ||||
\(681\) | −15.2279 | + | 21.6854i | −0.583533 | + | 0.830985i | ||||
\(682\) | 3.57122 | − | 5.40954i | 0.136749 | − | 0.207142i | ||||
\(683\) | −3.02640 | + | 17.1636i | −0.115802 | + | 0.656745i | 0.870548 | + | 0.492083i | \(0.163764\pi\) |
−0.986350 | + | 0.164662i | \(0.947347\pi\) | |||||||
\(684\) | −34.4318 | − | 29.2532i | −1.31653 | − | 1.11852i | ||||
\(685\) | 3.54216 | + | 20.0886i | 0.135339 | + | 0.767544i | ||||
\(686\) | −15.6467 | − | 6.78123i | −0.597396 | − | 0.258908i | ||||
\(687\) | 31.4837 | + | 24.9632i | 1.20118 | + | 0.952404i | ||||
\(688\) | −0.0574729 | − | 0.0887038i | −0.00219113 | − | 0.00338180i | ||||
\(689\) | −0.696389 | + | 5.95799i | −0.0265303 | + | 0.226981i | ||||
\(690\) | 1.47814 | + | 56.7854i | 0.0562717 | + | 2.16178i | ||||
\(691\) | 6.24641 | − | 9.49720i | 0.237624 | − | 0.361290i | −0.696913 | − | 0.717156i | \(-0.745444\pi\) |
0.934537 | + | 0.355866i | \(0.115814\pi\) | |||||||
\(692\) | −2.34014 | + | 1.34039i | −0.0889589 | + | 0.0509541i | ||||
\(693\) | −8.71895 | − | 3.20008i | −0.331205 | − | 0.121561i | ||||
\(694\) | −22.5735 | − | 0.0387462i | −0.856880 | − | 0.00147078i | ||||
\(695\) | 52.9561 | − | 56.1302i | 2.00874 | − | 2.12914i | ||||
\(696\) | 17.2983 | + | 12.2807i | 0.655691 | + | 0.465498i | ||||
\(697\) | −1.29877 | + | 0.854212i | −0.0491943 | + | 0.0323556i | ||||
\(698\) | 4.94979 | − | 6.62495i | 0.187352 | − | 0.250758i | ||||
\(699\) | 2.47470 | + | 17.0549i | 0.0936016 | + | 0.645076i | ||||
\(700\) | 72.1258 | + | 4.44934i | 2.72610 | + | 0.168169i | ||||
\(701\) | 35.4139 | − | 20.4462i | 1.33756 | − | 0.772243i | 0.351118 | − | 0.936331i | \(-0.385801\pi\) |
0.986446 | + | 0.164088i | \(0.0524681\pi\) | |||||||
\(702\) | −5.30438 | + | 11.2063i | −0.200201 | + | 0.422954i | ||||
\(703\) | −59.3779 | − | 34.2818i | −2.23948 | − | 1.29296i | ||||
\(704\) | 7.70002 | − | 0.819714i | 0.290205 | − | 0.0308941i | ||||
\(705\) | 37.0544 | + | 33.0653i | 1.39555 | + | 1.24531i | ||||
\(706\) | 0.0455533 | − | 0.384016i | 0.00171442 | − | 0.0144526i | ||||
\(707\) | −1.02252 | − | 17.5560i | −0.0384558 | − | 0.660261i | ||||
\(708\) | −22.4210 | − | 10.5859i | −0.842632 | − | 0.397841i | ||||
\(709\) | −41.3753 | − | 9.80613i | −1.55388 | − | 0.368277i | −0.638101 | − | 0.769953i | \(-0.720280\pi\) |
−0.915782 | + | 0.401676i | \(0.868428\pi\) | |||||||
\(710\) | 18.6574 | + | 10.8146i | 0.700198 | + | 0.405864i | ||||
\(711\) | 24.6255 | + | 12.4506i | 0.923528 | + | 0.466936i | ||||
\(712\) | 7.99640 | − | 21.6228i | 0.299678 | − | 0.810350i | ||||
\(713\) | −12.2084 | − | 24.3089i | −0.457208 | − | 0.910377i | ||||
\(714\) | −3.05587 | − | 15.0320i | −0.114363 | − | 0.562560i | ||||
\(715\) | −6.05351 | + | 2.61123i | −0.226388 | + | 0.0976544i | ||||
\(716\) | −1.25442 | + | 4.13829i | −0.0468798 | + | 0.154655i | ||||
\(717\) | −8.44221 | + | 7.49256i | −0.315280 | + | 0.279815i | ||||
\(718\) | −14.9457 | + | 1.72090i | −0.557768 | + | 0.0642234i | ||||
\(719\) | 18.6042 | + | 6.77139i | 0.693821 | + | 0.252530i | 0.664770 | − | 0.747048i | \(-0.268529\pi\) |
0.0290505 | + | 0.999578i | \(0.490752\pi\) | |||||||
\(720\) | −48.1669 | + | 5.16356i | −1.79508 | + | 0.192434i | ||||
\(721\) | 5.77216 | − | 2.10089i | 0.214966 | − | 0.0782414i | ||||
\(722\) | 47.6892 | − | 23.8480i | 1.77481 | − | 0.887530i | ||||
\(723\) | −19.7327 | + | 13.7774i | −0.733868 | + | 0.512387i | ||||
\(724\) | −1.52310 | − | 0.183327i | −0.0566055 | − | 0.00681329i | ||||
\(725\) | −11.2814 | − | 47.5998i | −0.418980 | − | 1.76781i | ||||
\(726\) | −15.2291 | − | 19.3822i | −0.565206 | − | 0.719340i | ||||
\(727\) | −2.43335 | − | 20.8187i | −0.0902481 | − | 0.772122i | −0.960263 | − | 0.279096i | \(-0.909965\pi\) |
0.870015 | − | 0.493025i | \(-0.164109\pi\) | |||||||
\(728\) | −13.2574 | + | 7.56344i | −0.491354 | + | 0.280320i | ||||
\(729\) | −26.5510 | − | 4.90341i | −0.983371 | − | 0.181608i | ||||
\(730\) | 1.15476 | − | 0.201573i | 0.0427397 | − | 0.00746054i | ||||
\(731\) | 0.0513865 | − | 0.00600622i | 0.00190060 | − | 0.000222148i | ||||
\(732\) | 2.18671 | − | 2.43366i | 0.0808231 | − | 0.0899506i | ||||
\(733\) | 12.4313 | − | 2.94628i | 0.459161 | − | 0.108823i | 0.00547557 | − | 0.999985i | \(-0.498257\pi\) |
0.453686 | + | 0.891162i | \(0.350109\pi\) | |||||||
\(734\) | −18.9516 | − | 5.70919i | −0.699515 | − | 0.210730i | ||||
\(735\) | 12.9287 | + | 18.5172i | 0.476883 | + | 0.683018i | ||||
\(736\) | 13.1267 | − | 29.7271i | 0.483858 | − | 1.09576i | ||||
\(737\) | 4.88011 | + | 13.4080i | 0.179761 | + | 0.493890i | ||||
\(738\) | −1.34780 | + | 3.08703i | −0.0496133 | + | 0.113635i | ||||
\(739\) | −14.9032 | + | 40.9463i | −0.548225 | + | 1.50624i | 0.287880 | + | 0.957666i | \(0.407049\pi\) |
−0.836105 | + | 0.548569i | \(0.815173\pi\) | |||||||
\(740\) | −70.4978 | + | 20.8422i | −2.59155 | + | 0.766176i | ||||
\(741\) | −14.6068 | − | 16.4582i | −0.536596 | − | 0.604607i | ||||
\(742\) | −14.3588 | − | 7.24213i | −0.527127 | − | 0.265867i | ||||
\(743\) | −11.8045 | − | 27.3660i | −0.433067 | − | 1.00396i | −0.985387 | − | 0.170329i | \(-0.945517\pi\) |
0.552321 | − | 0.833632i | \(-0.313742\pi\) | |||||||
\(744\) | 19.8230 | − | 12.0499i | 0.726748 | − | 0.441772i | ||||
\(745\) | 74.7053 | − | 37.5184i | 2.73699 | − | 1.37457i | ||||
\(746\) | 28.9756 | + | 24.3983i | 1.06087 | + | 0.893285i | ||||
\(747\) | −5.44081 | + | 10.7611i | −0.199069 | + | 0.393728i | ||||
\(748\) | −1.30859 | + | 3.55728i | −0.0478469 | + | 0.130067i | ||||
\(749\) | −5.71082 | + | 24.0958i | −0.208669 | + | 0.880443i | ||||
\(750\) | 50.8936 | + | 35.8690i | 1.85837 | + | 1.30975i | ||||
\(751\) | 9.74636 | − | 0.567661i | 0.355650 | − | 0.0207142i | 0.120610 | − | 0.992700i | \(-0.461515\pi\) |
0.235040 | + | 0.971986i | \(0.424478\pi\) | |||||||
\(752\) | −11.0734 | − | 26.1635i | −0.403806 | − | 0.954085i | ||||
\(753\) | −4.73984 | + | 5.31168i | −0.172730 | + | 0.193569i | ||||
\(754\) | 7.50336 | + | 7.10344i | 0.273256 | + | 0.258692i | ||||
\(755\) | −21.5525 | + | 37.3301i | −0.784378 | + | 1.35858i | ||||
\(756\) | −23.3271 | − | 23.6786i | −0.848400 | − | 0.861183i | ||||
\(757\) | −4.76258 | − | 8.24903i | −0.173099 | − | 0.299816i | 0.766403 | − | 0.642360i | \(-0.222045\pi\) |
−0.939502 | + | 0.342544i | \(0.888711\pi\) | |||||||
\(758\) | −2.04244 | + | 8.55231i | −0.0741849 | + | 0.310634i | ||||
\(759\) | 9.53113 | − | 1.38298i | 0.345958 | − | 0.0501991i | ||||
\(760\) | 25.0831 | − | 82.2395i | 0.909858 | − | 2.98314i | ||||
\(761\) | −5.27979 | − | 8.02752i | −0.191392 | − | 0.290997i | 0.727025 | − | 0.686611i | \(-0.240902\pi\) |
−0.918417 | + | 0.395613i | \(0.870532\pi\) | |||||||
\(762\) | 2.66553 | + | 3.83171i | 0.0965620 | + | 0.138808i | ||||
\(763\) | −26.4581 | − | 24.9619i | −0.957848 | − | 0.903683i | ||||
\(764\) | −4.15275 | − | 24.0336i | −0.150241 | − | 0.869505i | ||||
\(765\) | 8.17006 | − | 22.2601i | 0.295389 | − | 0.804817i | ||||
\(766\) | 1.71003 | − | 0.619078i | 0.0617859 | − | 0.0223682i | ||||
\(767\) | −10.0894 | − | 6.63593i | −0.364309 | − | 0.239610i | ||||
\(768\) | 26.1718 | + | 9.11260i | 0.944392 | + | 0.328823i | ||||
\(769\) | −34.8737 | − | 4.07615i | −1.25758 | − | 0.146990i | −0.538922 | − | 0.842355i | \(-0.681168\pi\) |
−0.718656 | + | 0.695366i | \(0.755242\pi\) | |||||||
\(770\) | −0.997397 | − | 17.6464i | −0.0359437 | − | 0.635932i | ||||
\(771\) | 22.0263 | − | 27.7798i | 0.793259 | − | 1.00046i | ||||
\(772\) | −17.1142 | − | 4.11824i | −0.615954 | − | 0.148219i | ||||
\(773\) | −23.2496 | + | 4.09954i | −0.836231 | + | 0.147450i | −0.575336 | − | 0.817917i | \(-0.695129\pi\) |
−0.260895 | + | 0.965367i | \(0.584018\pi\) | |||||||
\(774\) | 0.0861959 | − | 0.0716812i | 0.00309825 | − | 0.00257653i | ||||
\(775\) | −52.6803 | − | 9.28896i | −1.89233 | − | 0.333669i | ||||
\(776\) | 46.9714 | + | 11.3882i | 1.68618 | + | 0.408813i | ||||
\(777\) | −41.2803 | − | 28.9878i | −1.48092 | − | 1.03993i | ||||
\(778\) | 3.05240 | − | 2.86990i | 0.109434 | − | 0.102891i | ||||
\(779\) | −4.10270 | − | 4.34861i | −0.146995 | − | 0.155805i | ||||
\(780\) | −23.5806 | − | 0.798975i | −0.844321 | − | 0.0286079i | ||||
\(781\) | 1.44817 | − | 3.35722i | 0.0518194 | − | 0.120131i | ||||
\(782\) | 10.2036 | + | 12.2026i | 0.364878 | + | 0.436364i | ||||
\(783\) | −10.7591 | + | 19.7622i | −0.384498 | + | 0.706244i | ||||
\(784\) | −2.15607 | − | 12.7385i | −0.0770026 | − | 0.454947i | ||||
\(785\) | −24.1868 | + | 18.0064i | −0.863262 | + | 0.642675i | ||||
\(786\) | −1.41969 | + | 44.1384i | −0.0506385 | + | 1.57437i | ||||
\(787\) | −25.5060 | − | 7.63601i | −0.909192 | − | 0.272194i | −0.202141 | − | 0.979356i | \(-0.564790\pi\) |
−0.707051 | + | 0.707162i | \(0.749975\pi\) | |||||||
\(788\) | 21.4423 | − | 9.16212i | 0.763849 | − | 0.326387i | ||||
\(789\) | 7.09468 | − | 1.89077i | 0.252577 | − | 0.0673130i | ||||
\(790\) | −3.14328 | + | 52.4179i | −0.111833 | + | 1.86494i | ||||
\(791\) | 19.2303 | + | 16.1361i | 0.683751 | + | 0.573735i | ||||
\(792\) | 1.83135 | + | 8.00647i | 0.0650741 | + | 0.284498i | ||||
\(793\) | 1.22070 | − | 1.02429i | 0.0433483 | − | 0.0363736i | ||||
\(794\) | 5.14780 | + | 6.93953i | 0.182689 | + | 0.246275i | ||||
\(795\) | −13.0221 | − | 21.1759i | −0.461846 | − | 0.751031i | ||||
\(796\) | −15.2303 | + | 14.2706i | −0.539824 | + | 0.505806i | ||||
\(797\) | −32.3653 | − | 24.0951i | −1.14644 | − | 0.853492i | −0.155504 | − | 0.987835i | \(-0.549700\pi\) |
−0.990935 | + | 0.134343i | \(0.957108\pi\) | |||||||
\(798\) | 54.8931 | − | 21.6131i | 1.94320 | − | 0.765096i | ||||
\(799\) | 13.8829 | + | 0.808589i | 0.491143 | + | 0.0286058i | ||||
\(800\) | −31.4756 | − | 55.6142i | −1.11283 | − | 1.96626i | ||||
\(801\) | 23.7781 | + | 5.70327i | 0.840158 | + | 0.201515i | ||||
\(802\) | 41.3065 | − | 23.7539i | 1.45858 | − | 0.838778i | ||||
\(803\) | −0.0570006 | − | 0.190395i | −0.00201151 | − | 0.00671890i | ||||
\(804\) | −4.69373 | + | 50.8485i | −0.165535 | + | 1.79329i | ||||
\(805\) | −66.2832 | − | 33.2887i | −2.33618 | − | 1.17327i | ||||
\(806\) | 10.3823 | − | 4.45736i | 0.365700 | − | 0.157004i | ||||
\(807\) | 44.5444 | + | 1.35621i | 1.56804 | + | 0.0477410i | ||||
\(808\) | −12.5218 | + | 9.22229i | −0.440515 | + | 0.324439i | ||||
\(809\) | − | 13.9541i | − | 0.490601i | −0.969447 | − | 0.245301i | \(-0.921113\pi\) | ||
0.969447 | − | 0.245301i | \(-0.0788867\pi\) | |||||||
\(810\) | −11.4937 | − | 50.0794i | −0.403847 | − | 1.75961i | ||||
\(811\) | − | 35.1669i | − | 1.23488i | −0.786619 | − | 0.617439i | \(-0.788170\pi\) | ||
0.786619 | − | 0.617439i | \(-0.211830\pi\) | |||||||
\(812\) | −24.7967 | + | 12.3470i | −0.870194 | + | 0.433294i | ||||
\(813\) | −19.3369 | + | 31.2556i | −0.678176 | + | 1.09618i | ||||
\(814\) | 4.91707 | + | 11.4531i | 0.172343 | + | 0.401430i | ||||
\(815\) | 75.2524 | + | 37.7932i | 2.63598 | + | 1.32384i | ||||
\(816\) | −9.67038 | + | 9.51280i | −0.338531 | + | 0.333015i | ||||
\(817\) | 0.0570665 | + | 0.190616i | 0.00199651 | + | 0.00666879i | ||||
\(818\) | −1.99745 | − | 3.47345i | −0.0698393 | − | 0.121446i | ||||
\(819\) | −9.63240 | − | 13.0116i | −0.336583 | − | 0.454664i | ||||
\(820\) | −6.41015 | − | 0.0220053i | −0.223852 | − | 0.000768460i | ||||
\(821\) | 16.8091 | + | 0.979021i | 0.586643 | + | 0.0341681i | 0.348900 | − | 0.937160i | \(-0.386555\pi\) |
0.237743 | + | 0.971328i | \(0.423592\pi\) | |||||||
\(822\) | 12.2410 | + | 1.83138i | 0.426954 | + | 0.0638766i | ||||
\(823\) | −30.9530 | − | 23.0437i | −1.07895 | − | 0.803252i | −0.0975552 | − | 0.995230i | \(-0.531102\pi\) |
−0.981399 | + | 0.191978i | \(0.938510\pi\) | |||||||
\(824\) | −4.34039 | − | 3.26617i | −0.151205 | − | 0.113782i | ||||
\(825\) | 9.01095 | − | 16.6581i | 0.313721 | − | 0.579959i | ||||
\(826\) | 26.0021 | − | 19.2886i | 0.904729 | − | 0.671136i | ||||
\(827\) | 39.1786 | − | 32.8748i | 1.36237 | − | 1.14317i | 0.387134 | − | 0.922024i | \(-0.373465\pi\) |
0.975241 | − | 0.221144i | \(-0.0709792\pi\) | |||||||
\(828\) | 32.9584 | + | 10.0876i | 1.14538 | + | 0.350568i | ||||
\(829\) | 20.6037 | + | 17.2885i | 0.715595 | + | 0.600455i | 0.926163 | − | 0.377124i | \(-0.123087\pi\) |
−0.210568 | + | 0.977579i | \(0.567531\pi\) | |||||||
\(830\) | −22.9061 | − | 1.37358i | −0.795082 | − | 0.0476777i | ||||
\(831\) | 1.56650 | − | 5.81490i | 0.0543413 | − | 0.201716i | ||||
\(832\) | 11.9988 | + | 6.18158i | 0.415984 | + | 0.214308i | ||||
\(833\) | 6.05832 | + | 1.81374i | 0.209908 | + | 0.0628425i | ||||
\(834\) | −22.0961 | − | 41.2822i | −0.765127 | − | 1.42949i | ||||
\(835\) | −31.6356 | + | 23.5518i | −1.09479 | + | 0.815044i | ||||
\(836\) | −14.3472 | − | 2.58061i | −0.496207 | − | 0.0892522i | ||||
\(837\) | 15.1829 | + | 19.3624i | 0.524799 | + | 0.669262i | ||||
\(838\) | −3.57759 | + | 2.99151i | −0.123586 | + | 0.103340i | ||||
\(839\) | 1.07224 | − | 2.48573i | 0.0370179 | − | 0.0858170i | −0.898704 | − | 0.438556i | \(-0.855490\pi\) |
0.935722 | + | 0.352739i | \(0.114749\pi\) | |||||||
\(840\) | 23.7354 | − | 58.6323i | 0.818948 | − | 2.02301i | ||||
\(841\) | −7.03263 | − | 7.45415i | −0.242504 | − | 0.257040i | ||||
\(842\) | −17.9802 | − | 19.1236i | −0.619640 | − | 0.659043i | ||||
\(843\) | 3.07800 | − | 34.6438i | 0.106012 | − | 1.19320i | ||||
\(844\) | −37.8821 | − | 16.4952i | −1.30396 | − | 0.567788i | ||||
\(845\) | 40.3656 | + | 7.11754i | 1.38862 | + | 0.244851i | ||||
\(846\) | 26.1628 | − | 14.9516i | 0.899496 | − | 0.514046i | ||||
\(847\) | 31.6971 | − | 5.58905i | 1.08912 | − | 0.192042i | ||||
\(848\) | 1.55398 | + | 14.1362i | 0.0533640 | + | 0.485440i | ||||
\(849\) | 0.862000 | + | 2.17834i | 0.0295838 | + | 0.0747604i | ||||
\(850\) | 31.2299 | − | 1.76516i | 1.07118 | − | 0.0605444i | ||||
\(851\) | 51.9523 | + | 6.07236i | 1.78090 | + | 0.208158i | ||||
\(852\) | 9.81638 | − | 8.65210i | 0.336304 | − | 0.296416i | ||||
\(853\) | −14.3077 | − | 9.41034i | −0.489887 | − | 0.322204i | 0.280419 | − | 0.959878i | \(-0.409527\pi\) |
−0.770307 | + | 0.637674i | \(0.779897\pi\) | |||||||
\(854\) | 1.45425 | + | 4.01696i | 0.0497635 | + | 0.137458i | ||||
\(855\) | 89.7667 | + | 16.0780i | 3.06996 | + | 0.549855i | ||||
\(856\) | 20.6163 | − | 7.38373i | 0.704651 | − | 0.252371i | ||||
\(857\) | −1.25551 | − | 1.18451i | −0.0428874 | − | 0.0404622i | 0.664500 | − | 0.747289i | \(-0.268645\pi\) |
−0.707387 | + | 0.706826i | \(0.750126\pi\) | |||||||
\(858\) | 0.336432 | + | 3.98609i | 0.0114856 | + | 0.136083i | ||||
\(859\) | −28.4284 | − | 43.2232i | −0.969963 | − | 1.47476i | −0.877808 | − | 0.479013i | \(-0.840995\pi\) |
−0.0921558 | − | 0.995745i | \(-0.529376\pi\) | |||||||
\(860\) | 0.190319 | + | 0.0964013i | 0.00648982 | + | 0.00328726i | ||||
\(861\) | −2.72335 | − | 3.45380i | −0.0928115 | − | 0.117705i | ||||
\(862\) | 26.2131 | + | 6.26017i | 0.892823 | + | 0.213222i | ||||
\(863\) | 16.4895 | + | 28.5607i | 0.561310 | + | 0.972217i | 0.997382 | + | 0.0723059i | \(0.0230358\pi\) |
−0.436072 | + | 0.899912i | \(0.643631\pi\) | |||||||
\(864\) | −6.30695 | + | 28.7093i | −0.214567 | + | 0.976709i | ||||
\(865\) | 2.72172 | − | 4.71416i | 0.0925413 | − | 0.160286i | ||||
\(866\) | −21.0966 | + | 22.2843i | −0.716892 | + | 0.757252i | ||||
\(867\) | 7.14400 | + | 21.6571i | 0.242623 | + | 0.735514i | ||||
\(868\) | 1.65745 | + | 30.2456i | 0.0562574 | + | 1.02660i | ||||
\(869\) | 8.88808 | − | 0.517672i | 0.301508 | − | 0.0175608i | ||||
\(870\) | −42.6456 | − | 3.86273i | −1.44582 | − | 0.130959i | ||||
\(871\) | −5.73566 | + | 24.2006i | −0.194345 | + | 0.820008i | ||||
\(872\) | −5.74878 | + | 31.6491i | −0.194678 | + | 1.07177i | ||||
\(873\) | −6.08866 | + | 50.9013i | −0.206070 | + | 1.72275i | ||||
\(874\) | −39.4031 | + | 46.7954i | −1.33283 | + | 1.58288i | ||||
\(875\) | −72.6529 | + | 36.4877i | −2.45612 | + | 1.23351i | ||||
\(876\) | 0.106450 | − | 0.703264i | 0.00359661 | − | 0.0237611i | ||||
\(877\) | −12.2348 | − | 28.3634i | −0.413139 | − | 0.957764i | −0.990019 | − | 0.140935i | \(-0.954989\pi\) |
0.576880 | − | 0.816829i | \(-0.304270\pi\) | |||||||
\(878\) | −14.7402 | + | 29.2251i | −0.497459 | + | 0.986298i | ||||
\(879\) | 16.8934 | − | 50.7522i | 0.569801 | − | 1.71183i | ||||
\(880\) | −12.6009 | + | 9.24726i | −0.424777 | + | 0.311725i | ||||
\(881\) | 19.4074 | − | 53.3214i | 0.653852 | − | 1.79644i | 0.0508468 | − | 0.998706i | \(-0.483808\pi\) |
0.603005 | − | 0.797737i | \(-0.293970\pi\) | |||||||
\(882\) | 13.1449 | − | 3.87221i | 0.442613 | − | 0.130384i | ||||
\(883\) | −4.07229 | − | 11.1885i | −0.137044 | − | 0.376524i | 0.852119 | − | 0.523348i | \(-0.175317\pi\) |
−0.989163 | + | 0.146824i | \(0.953095\pi\) | |||||||
\(884\) | −5.31302 | + | 3.92712i | −0.178696 | + | 0.132083i | ||||
\(885\) | 49.8617 | − | 4.29461i | 1.67608 | − | 0.144362i | ||||
\(886\) | 2.32757 | − | 7.72633i | 0.0781962 | − | 0.259571i | ||||
\(887\) | −24.5109 | + | 5.80918i | −0.822994 | + | 0.195053i | −0.620476 | − | 0.784225i | \(-0.713061\pi\) |
−0.202518 | + | 0.979279i | \(0.564912\pi\) | |||||||
\(888\) | −1.58704 | + | 44.5782i | −0.0532576 | + | 1.49595i | ||||
\(889\) | −6.05359 | + | 0.707564i | −0.203031 | + | 0.0237309i | ||||
\(890\) | 8.00179 | + | 45.8404i | 0.268221 | + | 1.53657i | ||||
\(891\) | −8.20205 | + | 2.93531i | −0.274779 | + | 0.0983366i | ||||
\(892\) | 13.2746 | + | 36.8649i | 0.444466 | + | 1.23433i | ||||
\(893\) | 6.20904 | + | 53.1217i | 0.207778 | + | 1.77765i | ||||
\(894\) | −7.19778 | − | 50.2114i | −0.240730 | − | 1.67932i | ||||
\(895\) | −2.01288 | − | 8.49299i | −0.0672830 | − | 0.283889i | ||||
\(896\) | −26.6172 | + | 24.5143i | −0.889219 | + | 0.818967i | ||||
\(897\) | 15.2050 | + | 7.11518i | 0.507681 | + | 0.237569i | ||||
\(898\) | 3.48514 | + | 6.96928i | 0.116301 | + | 0.232568i | ||||
\(899\) | 19.2689 | − | 7.01330i | 0.642653 | − | 0.233907i | ||||
\(900\) | 54.6148 | − | 40.1413i | 1.82049 | − | 1.33804i | ||||
\(901\) | −6.54135 | − | 2.38086i | −0.217924 | − | 0.0793178i | ||||
\(902\) | 0.124318 | + | 1.07968i | 0.00413935 | + | 0.0359494i | ||||
\(903\) | 0.0294081 | + | 0.143399i | 0.000978639 | + | 0.00477203i | ||||
\(904\) | 2.69069 | − | 22.0357i | 0.0894912 | − | 0.732897i | ||||
\(905\) | 2.84325 | − | 1.22646i | 0.0945129 | − | 0.0407689i | ||||
\(906\) | 17.3278 | + | 19.5917i | 0.575678 | + | 0.650889i | ||||
\(907\) | −0.364041 | − | 0.724865i | −0.0120878 | − | 0.0240688i | 0.887508 | − | 0.460793i | \(-0.152435\pi\) |
−0.899595 | + | 0.436724i | \(0.856139\pi\) | |||||||
\(908\) | −15.3895 | + | 26.4453i | −0.510718 | + | 0.877618i | ||||
\(909\) | −11.2870 | − | 12.0283i | −0.374366 | − | 0.398954i | ||||
\(910\) | 15.4498 | − | 26.6541i | 0.512156 | − | 0.883575i | ||||
\(911\) | −49.0765 | − | 11.6313i | −1.62598 | − | 0.385364i | −0.686270 | − | 0.727346i | \(-0.740753\pi\) |
−0.939706 | + | 0.341983i | \(0.888901\pi\) | |||||||
\(912\) | −42.4881 | − | 30.2736i | −1.40692 | − | 1.00246i | ||||
\(913\) | 0.226218 | + | 3.88400i | 0.00748671 | + | 0.128542i | ||||
\(914\) | −7.08843 | − | 0.840855i | −0.234465 | − | 0.0278130i | ||||
\(915\) | −1.34414 | + | 6.46565i | −0.0444359 | + | 0.213748i | ||||
\(916\) | 38.6748 | + | 25.6275i | 1.27785 | + | 0.846756i | ||||
\(917\) | −49.9381 | − | 28.8318i | −1.64910 | − | 0.952110i | ||||
\(918\) | −11.2345 | − | 8.98873i | −0.370793 | − | 0.296672i | ||||
\(919\) | −29.7084 | + | 17.1522i | −0.979990 | + | 0.565797i | −0.902267 | − | 0.431178i | \(-0.858098\pi\) |
−0.0777229 | + | 0.996975i | \(0.524765\pi\) | |||||||
\(920\) | 7.27924 | + | 65.1872i | 0.239989 | + | 2.14916i | ||||
\(921\) | −2.68651 | − | 1.07148i | −0.0885236 | − | 0.0353064i | ||||
\(922\) | 43.0168 | + | 32.1397i | 1.41668 | + | 1.05846i | ||||
\(923\) | 5.32465 | − | 3.50208i | 0.175263 | − | 0.115272i | ||||
\(924\) | −10.3456 | − | 2.82519i | −0.340347 | − | 0.0929419i | ||||
\(925\) | 70.5860 | − | 74.8168i | 2.32085 | − | 2.45996i | ||||
\(926\) | 0.0228099 | − | 13.2891i | 0.000749581 | − | 0.436707i | ||||
\(927\) | 2.89421 | − | 4.98184i | 0.0950582 | − | 0.163625i | ||||
\(928\) | 21.1084 | + | 12.4297i | 0.692918 | + | 0.408025i | ||||
\(929\) | −15.3762 | + | 23.3784i | −0.504477 | + | 0.767020i | −0.994505 | − | 0.104686i | \(-0.966616\pi\) |
0.490028 | + | 0.871707i | \(0.336987\pi\) | |||||||
\(930\) | −22.3491 | + | 41.1466i | −0.732855 | + | 1.34925i | ||||
\(931\) | −2.82358 | + | 24.1572i | −0.0925390 | + | 0.791722i | ||||
\(932\) | 4.52265 | + | 19.3788i | 0.148144 | + | 0.634773i | ||||
\(933\) | 3.35395 | − | 22.6839i | 0.109803 | − | 0.742638i | ||||
\(934\) | 13.0585 | − | 30.1307i | 0.427287 | − | 0.985906i | ||||
\(935\) | −1.32852 | − | 7.53440i | −0.0434472 | − | 0.246401i | ||||
\(936\) | −5.00186 | + | 13.4141i | −0.163491 | + | 0.438453i | ||||
\(937\) | −4.12560 | + | 23.3974i | −0.134778 | + | 0.764361i | 0.840237 | + | 0.542220i | \(0.182416\pi\) |
−0.975014 | + | 0.222142i | \(0.928695\pi\) | |||||||
\(938\) | −55.6454 | − | 36.7356i | −1.81689 | − | 1.19946i | ||||
\(939\) | −12.3432 | − | 26.5636i | −0.402807 | − | 0.866871i | ||||
\(940\) | 45.8800 | + | 34.4018i | 1.49644 | + | 1.12206i | ||||
\(941\) | 10.1458 | − | 9.57207i | 0.330744 | − | 0.312040i | −0.502899 | − | 0.864345i | \(-0.667733\pi\) |
0.833642 | + | 0.552305i | \(0.186252\pi\) | |||||||
\(942\) | 5.70175 | + | 17.3852i | 0.185773 | + | 0.566440i | ||||
\(943\) | 4.18789 | + | 1.80648i | 0.136377 | + | 0.0588271i | ||||
\(944\) | −26.8356 | − | 9.97654i | −0.873425 | − | 0.324709i | ||||
\(945\) | 64.7346 | + | 17.6265i | 2.10582 | + | 0.573390i | ||||
\(946\) | 0.0124295 | − | 0.0339683i | 0.000404118 | − | 0.00110440i | ||||
\(947\) | 22.8468 | + | 30.6886i | 0.742423 | + | 0.997247i | 0.999524 | + | 0.0308623i | \(0.00982533\pi\) |
−0.257101 | + | 0.966385i | \(0.582767\pi\) | |||||||
\(948\) | 29.5551 | + | 11.9054i | 0.959906 | + | 0.386670i | ||||
\(949\) | 0.0993563 | − | 0.331873i | 0.00322524 | − | 0.0107731i | ||||
\(950\) | 27.5421 | + | 117.105i | 0.893585 | + | 3.79938i | ||||
\(951\) | −11.4704 | + | 11.4395i | −0.371952 | + | 0.370950i | ||||
\(952\) | −4.99257 | − | 16.9944i | −0.161810 | − | 0.550790i | ||||
\(953\) | 38.1649 | − | 45.4831i | 1.23628 | − | 1.47334i | 0.408049 | − | 0.912960i | \(-0.366209\pi\) |
0.828233 | − | 0.560383i | \(-0.189346\pi\) | |||||||
\(954\) | −14.6927 | + | 3.41382i | −0.475693 | + | 0.110527i | ||||
\(955\) | 31.6442 | + | 37.7120i | 1.02398 | + | 1.22033i | ||||
\(956\) | −8.97681 | + | 9.44966i | −0.290331 | + | 0.305624i | ||||
\(957\) | 0.201370 | + | 7.25714i | 0.00650938 | + | 0.234590i | ||||
\(958\) | 16.9506 | − | 11.1070i | 0.547649 | − | 0.358849i | ||||
\(959\) | −9.65104 | + | 12.9636i | −0.311648 | + | 0.418616i | ||||
\(960\) | −54.9095 | + | 10.6727i | −1.77220 | + | 0.344459i | ||||
\(961\) | −0.498705 | + | 8.56243i | −0.0160872 | + | 0.276207i | ||||
\(962\) | −3.80933 | + | 21.3890i | −0.122818 | + | 0.689610i | ||||
\(963\) | 10.3683 | + | 20.7845i | 0.334113 | + | 0.669771i | ||||
\(964\) | −21.3493 | + | 17.7896i | −0.687614 | + | 0.572966i | ||||
\(965\) | 34.0377 | − | 10.1902i | 1.09571 | − | 0.328034i | ||||
\(966\) | −31.9215 | + | 31.7264i | −1.02706 | + | 1.02078i | ||||
\(967\) | 5.29467 | − | 10.5425i | 0.170265 | − | 0.339026i | −0.792275 | − | 0.610164i | \(-0.791104\pi\) |
0.962540 | + | 0.271138i | \(0.0874000\pi\) | |||||||
\(968\) | −19.4254 | − | 20.8033i | −0.624357 | − | 0.668645i | ||||
\(969\) | 22.4936 | − | 12.0893i | 0.722599 | − | 0.388366i | ||||
\(970\) | −93.5060 | + | 27.8191i | −3.00230 | + | 0.893216i | ||||
\(971\) | −55.5737 | −1.78345 | −0.891723 | − | 0.452581i | \(-0.850503\pi\) | ||||
−0.891723 | + | 0.452581i | \(0.850503\pi\) | |||||||
\(972\) | −31.0290 | − | 3.03306i | −0.995257 | − | 0.0972856i | ||||
\(973\) | 61.1401 | 1.96006 | ||||||||
\(974\) | 3.37275 | − | 1.00343i | 0.108070 | − | 0.0321519i | ||||
\(975\) | 29.0785 | − | 15.6284i | 0.931256 | − | 0.500510i | ||||
\(976\) | 2.27676 | − | 3.01478i | 0.0728772 | − | 0.0965008i | ||||
\(977\) | −7.54581 | + | 15.0249i | −0.241412 | + | 0.480690i | −0.981411 | − | 0.191917i | \(-0.938529\pi\) |
0.739999 | + | 0.672608i | \(0.234826\pi\) | |||||||
\(978\) | 36.2410 | − | 36.0195i | 1.15886 | − | 1.15178i | ||||
\(979\) | 7.55808 | − | 2.26274i | 0.241557 | − | 0.0723175i | ||||
\(980\) | 16.6938 | + | 20.0342i | 0.533264 | + | 0.639969i | ||||
\(981\) | −34.0550 | − | 2.07562i | −1.08729 | − | 0.0662695i | ||||
\(982\) | 3.54821 | − | 19.9229i | 0.113228 | − | 0.635765i | ||||
\(983\) | −0.409906 | + | 7.03782i | −0.0130740 | + | 0.224472i | 0.985442 | + | 0.170012i | \(0.0543807\pi\) |
−0.998516 | + | 0.0544596i | \(0.982656\pi\) | |||||||
\(984\) | −1.24739 | + | 3.68408i | −0.0397655 | + | 0.117444i | ||||
\(985\) | −28.1057 | + | 37.7525i | −0.895522 | + | 1.20290i | ||||
\(986\) | −10.0292 | + | 6.57169i | −0.319396 | + | 0.209285i | ||||
\(987\) | 1.09138 | + | 39.3321i | 0.0347390 | + | 1.25195i | ||||
\(988\) | −18.4222 | − | 17.5004i | −0.586090 | − | 0.556762i | ||||
\(989\) | −0.0975714 | − | 0.116281i | −0.00310259 | − | 0.00369752i | ||||
\(990\) | −11.3232 | − | 12.1085i | −0.359876 | − | 0.384834i | ||||
\(991\) | −21.3916 | + | 25.4935i | −0.679527 | + | 0.809829i | −0.990047 | − | 0.140738i | \(-0.955052\pi\) |
0.310520 | + | 0.950567i | \(0.399497\pi\) | |||||||
\(992\) | 21.6229 | − | 15.8110i | 0.686527 | − | 0.502001i | ||||
\(993\) | −4.12944 | + | 4.11832i | −0.131044 | + | 0.130691i | ||||
\(994\) | 3.91174 | + | 16.6321i | 0.124073 | + | 0.527538i | ||||
\(995\) | 12.0824 | − | 40.3580i | 0.383037 | − | 1.27943i | ||||
\(996\) | −5.20255 | + | 12.9153i | −0.164849 | + | 0.409237i | ||||
\(997\) | 19.5656 | + | 26.2812i | 0.619650 | + | 0.832335i | 0.995541 | − | 0.0943293i | \(-0.0300707\pi\) |
−0.375891 | + | 0.926664i | \(0.622663\pi\) | |||||||
\(998\) | −1.39946 | + | 3.82454i | −0.0442991 | + | 0.121064i | ||||
\(999\) | −47.1486 | + | 3.93289i | −1.49171 | + | 0.124431i |
(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 | 324.2.p.a.263.31 | yes | 936 | |
3.2 | odd | 2 | 972.2.p.a.467.22 | 936 | |||
4.3 | odd | 2 | inner | 324.2.p.a.263.26 | yes | 936 | |
12.11 | even | 2 | 972.2.p.a.467.27 | 936 | |||
81.4 | even | 27 | 972.2.p.a.179.27 | 936 | |||
81.77 | odd | 54 | inner | 324.2.p.a.239.26 | ✓ | 936 | |
324.239 | even | 54 | inner | 324.2.p.a.239.31 | yes | 936 | |
324.247 | odd | 54 | 972.2.p.a.179.22 | 936 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.2.p.a.239.26 | ✓ | 936 | 81.77 | odd | 54 | inner | |
324.2.p.a.239.31 | yes | 936 | 324.239 | even | 54 | inner | |
324.2.p.a.263.26 | yes | 936 | 4.3 | odd | 2 | inner | |
324.2.p.a.263.31 | yes | 936 | 1.1 | even | 1 | trivial | |
972.2.p.a.179.22 | 936 | 324.247 | odd | 54 | |||
972.2.p.a.179.27 | 936 | 81.4 | even | 27 | |||
972.2.p.a.467.22 | 936 | 3.2 | odd | 2 | |||
972.2.p.a.467.27 | 936 | 12.11 | even | 2 |