Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(41,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.v (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 41.18 | ||
Character | \(\chi\) | \(=\) | 483.41 |
Dual form | 483.2.v.a.377.18 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.454217 | + | 1.54692i | −0.321180 | + | 1.09384i | 0.627767 | + | 0.778401i | \(0.283969\pi\) |
−0.948947 | + | 0.315437i | \(0.897849\pi\) | |||||||
\(3\) | 1.66392 | + | 0.481000i | 0.960666 | + | 0.277705i | ||||
\(4\) | −0.504143 | − | 0.323993i | −0.252072 | − | 0.161997i | ||||
\(5\) | −0.562316 | + | 3.91099i | −0.251475 | + | 1.74905i | 0.337893 | + | 0.941184i | \(0.390286\pi\) |
−0.589369 | + | 0.807864i | \(0.700623\pi\) | |||||||
\(6\) | −1.49985 | + | 2.35548i | −0.612311 | + | 0.961620i | ||||
\(7\) | 2.62773 | + | 0.308264i | 0.993189 | + | 0.116513i | ||||
\(8\) | −1.70670 | + | 1.47886i | −0.603409 | + | 0.522857i | ||||
\(9\) | 2.53728 | + | 1.60069i | 0.845759 | + | 0.533564i | ||||
\(10\) | −5.79458 | − | 2.64630i | −1.83241 | − | 0.836832i | ||||
\(11\) | −0.644839 | − | 2.19612i | −0.194426 | − | 0.662155i | −0.997777 | − | 0.0666483i | \(-0.978769\pi\) |
0.803350 | − | 0.595507i | \(-0.203049\pi\) | |||||||
\(12\) | −0.683015 | − | 0.781592i | −0.197169 | − | 0.225626i | ||||
\(13\) | −1.76874 | − | 0.807755i | −0.490559 | − | 0.224031i | 0.154748 | − | 0.987954i | \(-0.450543\pi\) |
−0.645307 | + | 0.763923i | \(0.723271\pi\) | |||||||
\(14\) | −1.67042 | + | 3.92487i | −0.446438 | + | 1.04897i | ||||
\(15\) | −2.81684 | + | 6.23711i | −0.727304 | + | 1.61042i | ||||
\(16\) | −2.01037 | − | 4.40209i | −0.502592 | − | 1.10052i | ||||
\(17\) | 6.25396 | − | 4.01918i | 1.51681 | − | 0.974794i | 0.524445 | − | 0.851444i | \(-0.324273\pi\) |
0.992363 | − | 0.123350i | \(-0.0393637\pi\) | |||||||
\(18\) | −3.62862 | + | 3.19791i | −0.855274 | + | 0.753754i | ||||
\(19\) | 2.11893 | − | 3.29712i | 0.486116 | − | 0.756411i | −0.508386 | − | 0.861129i | \(-0.669758\pi\) |
0.994502 | + | 0.104718i | \(0.0333941\pi\) | |||||||
\(20\) | 1.55062 | − | 1.78951i | 0.346730 | − | 0.400147i | ||||
\(21\) | 4.22407 | + | 1.77687i | 0.921767 | + | 0.387744i | ||||
\(22\) | 3.69012 | 0.786736 | ||||||||
\(23\) | −3.42406 | − | 3.35795i | −0.713966 | − | 0.700180i | ||||
\(24\) | −3.55115 | + | 1.63979i | −0.724875 | + | 0.334721i | ||||
\(25\) | −10.1822 | − | 2.98976i | −2.03644 | − | 0.597952i | ||||
\(26\) | 2.05292 | − | 2.36920i | 0.402611 | − | 0.464638i | ||||
\(27\) | 3.45190 | + | 3.88386i | 0.664319 | + | 0.747449i | ||||
\(28\) | −1.22488 | − | 1.00678i | −0.231480 | − | 0.190263i | ||||
\(29\) | −0.791187 | − | 1.23111i | −0.146920 | − | 0.228612i | 0.759992 | − | 0.649933i | \(-0.225203\pi\) |
−0.906912 | + | 0.421321i | \(0.861567\pi\) | |||||||
\(30\) | −8.36887 | − | 7.19042i | −1.52794 | − | 1.31279i | ||||
\(31\) | 4.87912 | − | 4.22778i | 0.876316 | − | 0.759332i | −0.0954117 | − | 0.995438i | \(-0.530417\pi\) |
0.971727 | + | 0.236106i | \(0.0758713\pi\) | |||||||
\(32\) | 3.25223 | − | 0.467600i | 0.574919 | − | 0.0826608i | ||||
\(33\) | −0.0166292 | − | 3.96434i | −0.00289477 | − | 0.690103i | ||||
\(34\) | 3.37669 | + | 11.5000i | 0.579098 | + | 1.97223i | ||||
\(35\) | −2.68323 | + | 10.1037i | −0.453549 | + | 1.70784i | ||||
\(36\) | −0.760538 | − | 1.62904i | −0.126756 | − | 0.271507i | ||||
\(37\) | 0.362545 | + | 2.52156i | 0.0596021 | + | 0.414542i | 0.997678 | + | 0.0681112i | \(0.0216973\pi\) |
−0.938076 | + | 0.346431i | \(0.887394\pi\) | |||||||
\(38\) | 4.13793 | + | 4.77542i | 0.671260 | + | 0.774676i | ||||
\(39\) | −2.55451 | − | 2.19480i | −0.409049 | − | 0.351450i | ||||
\(40\) | −4.82411 | − | 7.50647i | −0.762759 | − | 1.18688i | ||||
\(41\) | −0.875678 | + | 6.09047i | −0.136758 | + | 0.951172i | 0.799702 | + | 0.600397i | \(0.204991\pi\) |
−0.936460 | + | 0.350775i | \(0.885918\pi\) | |||||||
\(42\) | −4.66731 | + | 5.72721i | −0.720182 | + | 0.883728i | ||||
\(43\) | −2.49130 | + | 2.87511i | −0.379919 | + | 0.438450i | −0.913215 | − | 0.407479i | \(-0.866408\pi\) |
0.533296 | + | 0.845929i | \(0.320953\pi\) | |||||||
\(44\) | −0.386437 | + | 1.31608i | −0.0582575 | + | 0.198407i | ||||
\(45\) | −7.68705 | + | 9.02318i | −1.14592 | + | 1.34510i | ||||
\(46\) | 6.74974 | − | 3.77152i | 0.995195 | − | 0.556080i | ||||
\(47\) | −2.63505 | −0.384362 | −0.192181 | − | 0.981359i | \(-0.561556\pi\) | ||||
−0.192181 | + | 0.981359i | \(0.561556\pi\) | |||||||
\(48\) | −1.22769 | − | 8.29173i | −0.177202 | − | 1.19681i | ||||
\(49\) | 6.80995 | + | 1.62007i | 0.972850 | + | 0.231439i | ||||
\(50\) | 9.24985 | − | 14.3930i | 1.30813 | − | 2.03548i | ||||
\(51\) | 12.3393 | − | 3.67945i | 1.72785 | − | 0.515226i | ||||
\(52\) | 0.629989 | + | 0.980282i | 0.0873638 | + | 0.135941i | ||||
\(53\) | −4.87250 | + | 2.22520i | −0.669289 | + | 0.305654i | −0.720926 | − | 0.693012i | \(-0.756283\pi\) |
0.0516370 | + | 0.998666i | \(0.483556\pi\) | |||||||
\(54\) | −7.57594 | + | 3.57570i | −1.03095 | + | 0.486592i | ||||
\(55\) | 8.95161 | − | 1.28705i | 1.20703 | − | 0.173545i | ||||
\(56\) | −4.94062 | + | 3.35994i | −0.660219 | + | 0.448991i | ||||
\(57\) | 5.11165 | − | 4.46695i | 0.677054 | − | 0.591661i | ||||
\(58\) | 2.26380 | − | 0.664712i | 0.297252 | − | 0.0872810i | ||||
\(59\) | 5.91969 | − | 12.9623i | 0.770678 | − | 1.68755i | 0.0455235 | − | 0.998963i | \(-0.485504\pi\) |
0.725154 | − | 0.688586i | \(-0.241768\pi\) | |||||||
\(60\) | 3.44087 | − | 2.23176i | 0.444215 | − | 0.288119i | ||||
\(61\) | −10.9041 | + | 9.44842i | −1.39612 | + | 1.20975i | −0.447120 | + | 0.894474i | \(0.647550\pi\) |
−0.949001 | + | 0.315272i | \(0.897904\pi\) | |||||||
\(62\) | 4.32386 | + | 9.46794i | 0.549131 | + | 1.20243i | ||||
\(63\) | 6.17385 | + | 4.98834i | 0.777832 | + | 0.628472i | ||||
\(64\) | 0.623565 | − | 4.33699i | 0.0779456 | − | 0.542124i | ||||
\(65\) | 4.15371 | − | 6.46330i | 0.515204 | − | 0.801673i | ||||
\(66\) | 6.14008 | + | 1.77495i | 0.755791 | + | 0.218481i | ||||
\(67\) | −8.41744 | − | 2.47158i | −1.02835 | − | 0.301952i | −0.276312 | − | 0.961068i | \(-0.589112\pi\) |
−0.752041 | + | 0.659116i | \(0.770931\pi\) | |||||||
\(68\) | −4.45508 | −0.540258 | ||||||||
\(69\) | −4.08220 | − | 7.23434i | −0.491440 | − | 0.870912i | ||||
\(70\) | −14.4108 | − | 8.74002i | −1.72243 | − | 1.04463i | ||||
\(71\) | 1.65586 | − | 5.63935i | 0.196515 | − | 0.669268i | −0.800991 | − | 0.598677i | \(-0.795693\pi\) |
0.997505 | − | 0.0705909i | \(-0.0224885\pi\) | |||||||
\(72\) | −6.69757 | + | 1.02039i | −0.789316 | + | 0.120254i | ||||
\(73\) | −0.871295 | + | 1.35576i | −0.101977 | + | 0.158680i | −0.888493 | − | 0.458891i | \(-0.848247\pi\) |
0.786515 | + | 0.617571i | \(0.211883\pi\) | |||||||
\(74\) | −4.06533 | − | 0.584506i | −0.472584 | − | 0.0679474i | ||||
\(75\) | −15.5043 | − | 9.87236i | −1.79028 | − | 1.13996i | ||||
\(76\) | −2.13649 | + | 0.975701i | −0.245072 | + | 0.111921i | ||||
\(77\) | −1.01748 | − | 5.96960i | −0.115953 | − | 0.680299i | ||||
\(78\) | 4.55549 | − | 2.95471i | 0.515807 | − | 0.334555i | ||||
\(79\) | −5.26762 | + | 11.5345i | −0.592653 | + | 1.29773i | 0.341172 | + | 0.940001i | \(0.389176\pi\) |
−0.933825 | + | 0.357729i | \(0.883551\pi\) | |||||||
\(80\) | 18.3470 | − | 5.38717i | 2.05126 | − | 0.602304i | ||||
\(81\) | 3.87556 | + | 8.12281i | 0.430618 | + | 0.902534i | ||||
\(82\) | −9.02373 | − | 4.12100i | −0.996505 | − | 0.455088i | ||||
\(83\) | −0.586751 | − | 4.08094i | −0.0644043 | − | 0.447942i | −0.996351 | − | 0.0853471i | \(-0.972800\pi\) |
0.931947 | − | 0.362595i | \(-0.118109\pi\) | |||||||
\(84\) | −1.55384 | − | 2.26436i | −0.169538 | − | 0.247062i | ||||
\(85\) | 12.2023 | + | 26.7192i | 1.32352 | + | 2.89811i | ||||
\(86\) | −3.31598 | − | 5.15976i | −0.357571 | − | 0.556391i | ||||
\(87\) | −0.724310 | − | 2.42903i | −0.0776542 | − | 0.260420i | ||||
\(88\) | 4.34830 | + | 2.79449i | 0.463531 | + | 0.297893i | ||||
\(89\) | 4.01990 | − | 4.63921i | 0.426108 | − | 0.491755i | −0.501580 | − | 0.865111i | \(-0.667248\pi\) |
0.927688 | + | 0.373356i | \(0.121793\pi\) | |||||||
\(90\) | −10.4666 | − | 15.9897i | −1.10327 | − | 1.68547i | ||||
\(91\) | −4.39876 | − | 2.66780i | −0.461116 | − | 0.279661i | ||||
\(92\) | 0.638266 | + | 2.80226i | 0.0665439 | + | 0.292156i | ||||
\(93\) | 10.1520 | − | 4.68785i | 1.05272 | − | 0.486107i | ||||
\(94\) | 1.19689 | − | 4.07622i | 0.123449 | − | 0.420430i | ||||
\(95\) | 11.7035 | + | 10.1411i | 1.20075 | + | 1.04046i | ||||
\(96\) | 5.63638 | + | 0.786272i | 0.575260 | + | 0.0802485i | ||||
\(97\) | 3.81751 | + | 0.548876i | 0.387610 | + | 0.0557299i | 0.333365 | − | 0.942798i | \(-0.391816\pi\) |
0.0542447 | + | 0.998528i | \(0.482725\pi\) | |||||||
\(98\) | −5.59931 | + | 9.79858i | −0.565616 | + | 0.989806i | ||||
\(99\) | 1.87918 | − | 6.60436i | 0.188865 | − | 0.663763i | ||||
\(100\) | 4.16462 | + | 4.80623i | 0.416462 | + | 0.480623i | ||||
\(101\) | 1.42485 | + | 9.91007i | 0.141778 | + | 0.986089i | 0.929174 | + | 0.369642i | \(0.120520\pi\) |
−0.787396 | + | 0.616447i | \(0.788571\pi\) | |||||||
\(102\) | 0.0870784 | + | 20.7592i | 0.00862205 | + | 2.05547i | ||||
\(103\) | −0.865956 | − | 2.94918i | −0.0853252 | − | 0.290591i | 0.905766 | − | 0.423779i | \(-0.139297\pi\) |
−0.991091 | + | 0.133188i | \(0.957479\pi\) | |||||||
\(104\) | 4.21326 | − | 1.23712i | 0.413144 | − | 0.121310i | ||||
\(105\) | −9.32457 | + | 15.5211i | −0.909984 | + | 1.51471i | ||||
\(106\) | −1.22903 | − | 8.54809i | −0.119374 | − | 0.830264i | ||||
\(107\) | 0.964960 | − | 0.836142i | 0.0932862 | − | 0.0808329i | −0.606969 | − | 0.794725i | \(-0.707615\pi\) |
0.700255 | + | 0.713892i | \(0.253069\pi\) | |||||||
\(108\) | −0.481909 | − | 3.07641i | −0.0463717 | − | 0.296028i | ||||
\(109\) | 0.501212 | − | 0.322109i | 0.0480074 | − | 0.0308525i | −0.516417 | − | 0.856337i | \(-0.672735\pi\) |
0.564424 | + | 0.825485i | \(0.309098\pi\) | |||||||
\(110\) | −2.07501 | + | 14.4320i | −0.197845 | + | 1.37604i | ||||
\(111\) | −0.609622 | + | 4.37006i | −0.0578627 | + | 0.414788i | ||||
\(112\) | −3.92570 | − | 12.1872i | −0.370944 | − | 1.15159i | ||||
\(113\) | −3.09744 | + | 10.5489i | −0.291382 | + | 0.992358i | 0.675548 | + | 0.737316i | \(0.263907\pi\) |
−0.966930 | + | 0.255041i | \(0.917911\pi\) | |||||||
\(114\) | 4.58821 | + | 9.93628i | 0.429726 | + | 0.930618i | ||||
\(115\) | 15.0583 | − | 11.5033i | 1.40419 | − | 1.07268i | ||||
\(116\) | 0.876995i | 0.0814270i | ||||||||
\(117\) | −3.19481 | − | 4.88070i | −0.295360 | − | 0.451221i | ||||
\(118\) | 17.3628 | + | 15.0450i | 1.59838 | + | 1.38500i | ||||
\(119\) | 17.6727 | − | 8.63345i | 1.62005 | − | 0.791427i | ||||
\(120\) | −4.41634 | − | 14.8106i | −0.403155 | − | 1.35201i | ||||
\(121\) | 4.84666 | − | 3.11476i | 0.440606 | − | 0.283160i | ||||
\(122\) | −9.66315 | − | 21.1593i | −0.874860 | − | 1.91568i | ||||
\(123\) | −4.38658 | + | 9.71288i | −0.395524 | + | 0.875781i | ||||
\(124\) | −3.82955 | + | 0.550606i | −0.343903 | + | 0.0494459i | ||||
\(125\) | 9.21158 | − | 20.1705i | 0.823908 | − | 1.80411i | ||||
\(126\) | −10.5208 | + | 7.28467i | −0.937271 | + | 0.648970i | ||||
\(127\) | 1.43939 | − | 0.422643i | 0.127725 | − | 0.0375035i | −0.217245 | − | 0.976117i | \(-0.569707\pi\) |
0.344970 | + | 0.938614i | \(0.387889\pi\) | |||||||
\(128\) | 12.4033 | + | 5.66438i | 1.09630 | + | 0.500665i | ||||
\(129\) | −5.52825 | + | 3.58565i | −0.486735 | + | 0.315699i | ||||
\(130\) | 8.11152 | + | 9.36120i | 0.711428 | + | 0.821031i | ||||
\(131\) | −2.05279 | − | 4.49498i | −0.179353 | − | 0.392729i | 0.798508 | − | 0.601984i | \(-0.205623\pi\) |
−0.977861 | + | 0.209256i | \(0.932896\pi\) | |||||||
\(132\) | −1.27604 | + | 2.00398i | −0.111065 | + | 0.174424i | ||||
\(133\) | 6.58436 | − | 8.01075i | 0.570936 | − | 0.694620i | ||||
\(134\) | 7.64669 | − | 11.8985i | 0.660573 | − | 1.02787i | ||||
\(135\) | −17.1308 | + | 11.3164i | −1.47438 | + | 0.973961i | ||||
\(136\) | −4.72981 | + | 16.1083i | −0.405578 | + | 1.38127i | ||||
\(137\) | − | 5.55717i | − | 0.474781i | −0.971414 | − | 0.237391i | \(-0.923708\pi\) | ||
0.971414 | − | 0.237391i | \(-0.0762921\pi\) | |||||||
\(138\) | 13.0451 | − | 3.02889i | 1.11048 | − | 0.257836i | ||||
\(139\) | 10.7889i | 0.915102i | 0.889183 | + | 0.457551i | \(0.151273\pi\) | ||||
−0.889183 | + | 0.457551i | \(0.848727\pi\) | |||||||
\(140\) | 4.62626 | − | 4.22436i | 0.390990 | − | 0.357024i | ||||
\(141\) | −4.38453 | − | 1.26746i | −0.369244 | − | 0.106739i | ||||
\(142\) | 7.97151 | + | 5.12298i | 0.668954 | + | 0.429911i | ||||
\(143\) | −0.633376 | + | 4.40523i | −0.0529656 | + | 0.368384i | ||||
\(144\) | 1.94553 | − | 14.3873i | 0.162128 | − | 1.19894i | ||||
\(145\) | 5.25976 | − | 2.40205i | 0.436799 | − | 0.199480i | ||||
\(146\) | −1.70150 | − | 1.96363i | −0.140817 | − | 0.162512i | ||||
\(147\) | 10.5520 | + | 5.97125i | 0.870312 | + | 0.492501i | ||||
\(148\) | 0.634193 | − | 1.38869i | 0.0521303 | − | 0.114150i | ||||
\(149\) | 2.07958 | + | 7.08239i | 0.170366 | + | 0.580212i | 0.999768 | + | 0.0215597i | \(0.00686319\pi\) |
−0.829402 | + | 0.558652i | \(0.811319\pi\) | |||||||
\(150\) | 22.3141 | − | 19.4997i | 1.82194 | − | 1.59215i | ||||
\(151\) | 9.49248 | − | 20.7856i | 0.772487 | − | 1.69151i | 0.0513872 | − | 0.998679i | \(-0.483636\pi\) |
0.721100 | − | 0.692831i | \(-0.243637\pi\) | |||||||
\(152\) | 1.25961 | + | 8.76079i | 0.102168 | + | 0.710594i | ||||
\(153\) | 22.3015 | − | 0.187099i | 1.80297 | − | 0.0151260i | ||||
\(154\) | 9.69665 | + | 1.13753i | 0.781378 | + | 0.0916649i | ||||
\(155\) | 13.7912 | + | 21.4595i | 1.10774 | + | 1.72367i | ||||
\(156\) | 0.576738 | + | 1.93414i | 0.0461760 | + | 0.154855i | ||||
\(157\) | −8.34739 | + | 12.9888i | −0.666194 | + | 1.03662i | 0.329521 | + | 0.944148i | \(0.393113\pi\) |
−0.995715 | + | 0.0924706i | \(0.970524\pi\) | |||||||
\(158\) | −15.4503 | − | 13.3877i | −1.22916 | − | 1.06507i | ||||
\(159\) | −9.17778 | + | 1.35888i | −0.727845 | + | 0.107766i | ||||
\(160\) | 12.9824i | 1.02635i | ||||||||
\(161\) | −7.96238 | − | 9.87929i | −0.627524 | − | 0.778597i | ||||
\(162\) | −14.3257 | + | 2.30567i | −1.12553 | + | 0.181151i | ||||
\(163\) | 18.5919 | + | 5.45909i | 1.45623 | + | 0.427589i | 0.911598 | − | 0.411084i | \(-0.134850\pi\) |
0.544636 | + | 0.838673i | \(0.316668\pi\) | |||||||
\(164\) | 2.41474 | − | 2.78676i | 0.188559 | − | 0.217609i | ||||
\(165\) | 15.5139 | + | 2.16418i | 1.20775 | + | 0.168481i | ||||
\(166\) | 6.57941 | + | 0.945976i | 0.510661 | + | 0.0734220i | ||||
\(167\) | −9.49508 | + | 6.10212i | −0.734752 | + | 0.472196i | −0.853740 | − | 0.520699i | \(-0.825671\pi\) |
0.118988 | + | 0.992896i | \(0.462035\pi\) | |||||||
\(168\) | −9.83695 | + | 3.21424i | −0.758937 | + | 0.247984i | ||||
\(169\) | −6.03723 | − | 6.96734i | −0.464402 | − | 0.535949i | ||||
\(170\) | −46.8750 | + | 6.73961i | −3.59515 | + | 0.516905i | ||||
\(171\) | 10.6540 | − | 4.97395i | 0.814731 | − | 0.380368i | ||||
\(172\) | 2.18749 | − | 0.642304i | 0.166794 | − | 0.0489752i | ||||
\(173\) | 0.752596 | − | 0.220982i | 0.0572188 | − | 0.0168010i | −0.252998 | − | 0.967467i | \(-0.581417\pi\) |
0.310217 | + | 0.950666i | \(0.399598\pi\) | |||||||
\(174\) | 4.08652 | − | 0.0171416i | 0.309798 | − | 0.00129950i | ||||
\(175\) | −25.8344 | − | 10.9951i | −1.95290 | − | 0.831151i | ||||
\(176\) | −8.37116 | + | 7.25365i | −0.631000 | + | 0.546765i | ||||
\(177\) | 16.0848 | − | 18.7209i | 1.20901 | − | 1.40715i | ||||
\(178\) | 5.35058 | + | 8.32567i | 0.401043 | + | 0.624036i | ||||
\(179\) | 9.98792 | + | 1.43605i | 0.746532 | + | 0.107335i | 0.505074 | − | 0.863076i | \(-0.331465\pi\) |
0.241458 | + | 0.970411i | \(0.422374\pi\) | |||||||
\(180\) | 6.79882 | − | 2.05842i | 0.506754 | − | 0.153426i | ||||
\(181\) | −9.69675 | − | 8.40229i | −0.720754 | − | 0.624537i | 0.215237 | − | 0.976562i | \(-0.430948\pi\) |
−0.935991 | + | 0.352025i | \(0.885493\pi\) | |||||||
\(182\) | 6.12487 | − | 5.59278i | 0.454005 | − | 0.414564i | ||||
\(183\) | −22.6882 | + | 10.4766i | −1.67716 | + | 0.774452i | ||||
\(184\) | 10.8098 | + | 0.667283i | 0.796907 | + | 0.0491927i | ||||
\(185\) | −10.0657 | −0.740042 | ||||||||
\(186\) | 2.64050 | + | 17.8337i | 0.193611 | + | 1.30763i | ||||
\(187\) | −12.8594 | − | 11.1427i | −0.940372 | − | 0.814837i | ||||
\(188\) | 1.32844 | + | 0.853740i | 0.0968868 | + | 0.0622654i | ||||
\(189\) | 7.87342 | + | 11.2698i | 0.572707 | + | 0.819760i | ||||
\(190\) | −21.0035 | + | 13.4981i | −1.52375 | + | 0.979255i | ||||
\(191\) | −17.5987 | + | 8.03706i | −1.27340 | + | 0.581541i | −0.933384 | − | 0.358879i | \(-0.883159\pi\) |
−0.340014 | + | 0.940420i | \(0.610432\pi\) | |||||||
\(192\) | 3.12365 | − | 6.91648i | 0.225430 | − | 0.499154i | ||||
\(193\) | 0.398204 | + | 2.76957i | 0.0286634 | + | 0.199358i | 0.999121 | − | 0.0419124i | \(-0.0133450\pi\) |
−0.970458 | + | 0.241270i | \(0.922436\pi\) | |||||||
\(194\) | −2.58305 | + | 5.65608i | −0.185452 | + | 0.406083i | ||||
\(195\) | 10.0203 | − | 8.75650i | 0.717568 | − | 0.627066i | ||||
\(196\) | −2.90830 | − | 3.02312i | −0.207736 | − | 0.215937i | ||||
\(197\) | 0.0671716 | + | 0.0306763i | 0.00478578 | + | 0.00218559i | 0.417806 | − | 0.908536i | \(-0.362799\pi\) |
−0.413021 | + | 0.910722i | \(0.635526\pi\) | |||||||
\(198\) | 9.36286 | + | 5.90675i | 0.665390 | + | 0.419774i | ||||
\(199\) | 8.20455 | − | 7.10929i | 0.581605 | − | 0.503964i | −0.313637 | − | 0.949543i | \(-0.601548\pi\) |
0.895243 | + | 0.445579i | \(0.147002\pi\) | |||||||
\(200\) | 21.7994 | − | 9.95544i | 1.54145 | − | 0.703956i | ||||
\(201\) | −12.8171 | − | 8.16131i | −0.904051 | − | 0.575654i | ||||
\(202\) | −15.9773 | − | 2.29719i | −1.12416 | − | 0.161630i | ||||
\(203\) | −1.69952 | − | 3.47892i | −0.119283 | − | 0.244173i | ||||
\(204\) | −7.41291 | − | 2.14289i | −0.519007 | − | 0.150032i | ||||
\(205\) | −23.3274 | − | 6.84954i | −1.62926 | − | 0.478393i | ||||
\(206\) | 4.95547 | 0.345264 | ||||||||
\(207\) | −3.31276 | − | 14.0009i | −0.230253 | − | 0.973131i | ||||
\(208\) | 9.41002i | 0.652468i | ||||||||
\(209\) | −8.60724 | − | 2.52731i | −0.595375 | − | 0.174818i | ||||
\(210\) | −19.7746 | − | 21.4743i | −1.36458 | − | 1.48187i | ||||
\(211\) | −12.3018 | − | 7.90587i | −0.846889 | − | 0.544263i | 0.0437139 | − | 0.999044i | \(-0.486081\pi\) |
−0.890603 | + | 0.454781i | \(0.849717\pi\) | |||||||
\(212\) | 3.17739 | + | 0.456839i | 0.218224 | + | 0.0313758i | ||||
\(213\) | 5.46775 | − | 8.58697i | 0.374644 | − | 0.588370i | ||||
\(214\) | 0.855145 | + | 1.87251i | 0.0584565 | + | 0.128002i | ||||
\(215\) | −9.84363 | − | 11.3602i | −0.671330 | − | 0.774756i | ||||
\(216\) | −11.6350 | − | 1.52369i | −0.791665 | − | 0.103674i | ||||
\(217\) | 14.1243 | − | 9.60542i | 0.958819 | − | 0.652058i | ||||
\(218\) | 0.270619 | + | 0.921643i | 0.0183286 | + | 0.0624215i | ||||
\(219\) | −2.10189 | + | 1.83679i | −0.142033 | + | 0.124119i | ||||
\(220\) | −4.92989 | − | 2.25140i | −0.332373 | − | 0.151790i | ||||
\(221\) | −14.3081 | + | 2.05720i | −0.962468 | + | 0.138382i | ||||
\(222\) | −6.48324 | − | 2.92799i | −0.435127 | − | 0.196514i | ||||
\(223\) | −6.54427 | + | 2.98867i | −0.438237 | + | 0.200136i | −0.622301 | − | 0.782778i | \(-0.713802\pi\) |
0.184064 | + | 0.982914i | \(0.441075\pi\) | |||||||
\(224\) | 8.69014 | − | 0.226182i | 0.580634 | − | 0.0151124i | ||||
\(225\) | −21.0494 | − | 23.8844i | −1.40329 | − | 1.59229i | ||||
\(226\) | −14.9114 | − | 9.58298i | −0.991892 | − | 0.637450i | ||||
\(227\) | −4.29773 | + | 4.95984i | −0.285250 | + | 0.329196i | −0.880233 | − | 0.474542i | \(-0.842614\pi\) |
0.594982 | + | 0.803739i | \(0.297159\pi\) | |||||||
\(228\) | −4.02426 | + | 0.595842i | −0.266513 | + | 0.0394606i | ||||
\(229\) | − | 9.13789i | − | 0.603849i | −0.953332 | − | 0.301924i | \(-0.902371\pi\) | ||
0.953332 | − | 0.301924i | \(-0.0976290\pi\) | |||||||
\(230\) | 10.9549 | + | 28.5190i | 0.722344 | + | 1.88048i | ||||
\(231\) | 1.17837 | − | 10.4224i | 0.0775308 | − | 0.685741i | ||||
\(232\) | 3.17096 | + | 0.931078i | 0.208184 | + | 0.0611283i | ||||
\(233\) | −14.8787 | − | 12.8924i | −0.974734 | − | 0.844611i | 0.0131334 | − | 0.999914i | \(-0.495819\pi\) |
−0.987867 | + | 0.155302i | \(0.950365\pi\) | |||||||
\(234\) | 9.00119 | − | 2.72522i | 0.588426 | − | 0.178153i | ||||
\(235\) | 1.48173 | − | 10.3057i | 0.0966575 | − | 0.672268i | ||||
\(236\) | −7.18407 | + | 4.61692i | −0.467643 | + | 0.300536i | ||||
\(237\) | −14.3130 | + | 16.6588i | −0.929729 | + | 1.08210i | ||||
\(238\) | 5.32802 | + | 31.2597i | 0.345364 | + | 2.02627i | ||||
\(239\) | −1.65420 | + | 0.237838i | −0.107001 | + | 0.0153845i | −0.195607 | − | 0.980682i | \(-0.562668\pi\) |
0.0886061 | + | 0.996067i | \(0.471759\pi\) | |||||||
\(240\) | 33.1192 | − | 0.138925i | 2.13784 | − | 0.00896755i | ||||
\(241\) | −1.16325 | − | 3.96167i | −0.0749317 | − | 0.255194i | 0.913505 | − | 0.406827i | \(-0.133365\pi\) |
−0.988437 | + | 0.151633i | \(0.951547\pi\) | |||||||
\(242\) | 2.61685 | + | 8.91218i | 0.168218 | + | 0.572896i | ||||
\(243\) | 2.54157 | + | 15.3799i | 0.163042 | + | 0.986619i | ||||
\(244\) | 8.55843 | − | 1.23052i | 0.547897 | − | 0.0787757i | ||||
\(245\) | −10.1654 | + | 25.7227i | −0.649445 | + | 1.64336i | ||||
\(246\) | −13.0326 | − | 11.1974i | −0.830928 | − | 0.713923i | ||||
\(247\) | −6.41109 | + | 4.12016i | −0.407928 | + | 0.262159i | ||||
\(248\) | −2.07488 | + | 14.4311i | −0.131755 | + | 0.916375i | ||||
\(249\) | 0.986624 | − | 7.07260i | 0.0625248 | − | 0.448208i | ||||
\(250\) | 27.0182 | + | 23.4114i | 1.70878 | + | 1.48067i | ||||
\(251\) | 10.7783 | + | 3.16480i | 0.680322 | + | 0.199761i | 0.603594 | − | 0.797292i | \(-0.293735\pi\) |
0.0767275 | + | 0.997052i | \(0.475553\pi\) | |||||||
\(252\) | −1.49632 | − | 4.51513i | −0.0942590 | − | 0.284426i | ||||
\(253\) | −5.16648 | + | 9.68499i | −0.324814 | + | 0.608890i | ||||
\(254\) | 2.41860i | 0.151756i | ||||||||
\(255\) | 7.45168 | + | 50.3280i | 0.466643 | + | 3.15166i | ||||
\(256\) | −8.65745 | + | 9.99123i | −0.541091 | + | 0.624452i | ||||
\(257\) | 1.56773 | + | 1.00752i | 0.0977926 | + | 0.0628475i | 0.588623 | − | 0.808408i | \(-0.299670\pi\) |
−0.490831 | + | 0.871255i | \(0.663307\pi\) | |||||||
\(258\) | −3.03569 | − | 10.1804i | −0.188993 | − | 0.633806i | ||||
\(259\) | 0.175366 | + | 6.73774i | 0.0108967 | + | 0.418663i | ||||
\(260\) | −4.18813 | + | 1.91265i | −0.259737 | + | 0.118618i | ||||
\(261\) | −0.0368310 | − | 4.39012i | −0.00227978 | − | 0.271742i | ||||
\(262\) | 7.88580 | − | 1.13381i | 0.487186 | − | 0.0700468i | ||||
\(263\) | 0.486657 | + | 0.222249i | 0.0300085 | + | 0.0137044i | 0.430363 | − | 0.902656i | \(-0.358386\pi\) |
−0.400354 | + | 0.916360i | \(0.631113\pi\) | |||||||
\(264\) | 5.89110 | + | 6.74134i | 0.362572 | + | 0.414901i | ||||
\(265\) | −5.96284 | − | 20.3076i | −0.366294 | − | 1.24748i | ||||
\(266\) | 9.40127 | + | 13.8241i | 0.576429 | + | 0.847610i | ||||
\(267\) | 8.92026 | − | 5.78572i | 0.545911 | − | 0.354080i | ||||
\(268\) | 3.44282 | + | 3.97322i | 0.210304 | + | 0.242703i | ||||
\(269\) | −10.0050 | − | 21.9080i | −0.610017 | − | 1.33575i | −0.922562 | − | 0.385849i | \(-0.873909\pi\) |
0.312545 | − | 0.949903i | \(-0.398819\pi\) | |||||||
\(270\) | −9.72448 | − | 31.6401i | −0.591813 | − | 1.92555i | ||||
\(271\) | −1.47587 | − | 0.212198i | −0.0896529 | − | 0.0128901i | 0.0973424 | − | 0.995251i | \(-0.468966\pi\) |
−0.186995 | + | 0.982361i | \(0.559875\pi\) | |||||||
\(272\) | −30.2656 | − | 19.4505i | −1.83512 | − | 1.17936i | ||||
\(273\) | −6.03599 | − | 6.55482i | −0.365315 | − | 0.396716i | ||||
\(274\) | 8.59650 | + | 2.52416i | 0.519334 | + | 0.152490i | ||||
\(275\) | 24.2892i | 1.46470i | ||||||||
\(276\) | −0.285860 | + | 4.96975i | −0.0172067 | + | 0.299144i | ||||
\(277\) | −20.9607 | −1.25941 | −0.629703 | − | 0.776836i | \(-0.716823\pi\) | ||||
−0.629703 | + | 0.776836i | \(0.716823\pi\) | |||||||
\(278\) | −16.6896 | − | 4.90050i | −1.00097 | − | 0.293912i | ||||
\(279\) | 19.1471 | − | 2.91709i | 1.14630 | − | 0.174641i | ||||
\(280\) | −10.3625 | − | 21.2121i | −0.619278 | − | 1.26766i | ||||
\(281\) | 2.34483 | + | 0.337136i | 0.139881 | + | 0.0201118i | 0.211900 | − | 0.977291i | \(-0.432035\pi\) |
−0.0720186 | + | 0.997403i | \(0.522944\pi\) | |||||||
\(282\) | 3.95219 | − | 6.20681i | 0.235349 | − | 0.369610i | ||||
\(283\) | −8.94976 | + | 4.08722i | −0.532008 | + | 0.242960i | −0.663260 | − | 0.748389i | \(-0.730828\pi\) |
0.131252 | + | 0.991349i | \(0.458100\pi\) | |||||||
\(284\) | −2.66190 | + | 2.30655i | −0.157955 | + | 0.136869i | ||||
\(285\) | 14.5958 | + | 22.5034i | 0.864582 | + | 1.33299i | ||||
\(286\) | −6.52685 | − | 2.98071i | −0.385941 | − | 0.176253i | ||||
\(287\) | −4.17852 | + | 15.7342i | −0.246650 | + | 0.928760i | ||||
\(288\) | 9.00030 | + | 4.01939i | 0.530348 | + | 0.236845i | ||||
\(289\) | 15.8962 | − | 34.8078i | 0.935071 | − | 2.04752i | ||||
\(290\) | 1.32671 | + | 9.22749i | 0.0779072 | + | 0.541857i | ||||
\(291\) | 6.08804 | + | 2.74951i | 0.356887 | + | 0.161179i | ||||
\(292\) | 0.878515 | − | 0.401205i | 0.0514112 | − | 0.0234787i | ||||
\(293\) | 9.40045 | − | 6.04130i | 0.549180 | − | 0.352937i | −0.236440 | − | 0.971646i | \(-0.575981\pi\) |
0.785620 | + | 0.618710i | \(0.212344\pi\) | |||||||
\(294\) | −14.0299 | + | 13.6108i | −0.818243 | + | 0.793799i | ||||
\(295\) | 47.3668 | + | 30.4408i | 2.75780 | + | 1.77233i | ||||
\(296\) | −4.34779 | − | 3.76738i | −0.252710 | − | 0.218975i | ||||
\(297\) | 6.30350 | − | 10.0853i | 0.365766 | − | 0.585206i | ||||
\(298\) | −11.9005 | −0.689376 | ||||||||
\(299\) | 3.34387 | + | 8.70512i | 0.193381 | + | 0.503430i | ||||
\(300\) | 4.61781 | + | 10.0004i | 0.266610 | + | 0.577372i | ||||
\(301\) | −7.43275 | + | 6.78704i | −0.428416 | + | 0.391198i | ||||
\(302\) | 27.8421 | + | 24.1253i | 1.60213 | + | 1.38825i | ||||
\(303\) | −2.39590 | + | 17.1750i | −0.137641 | + | 0.986675i | ||||
\(304\) | −18.7740 | − | 2.69930i | −1.07677 | − | 0.154815i | ||||
\(305\) | −30.8212 | − | 47.9587i | −1.76481 | − | 2.74611i | ||||
\(306\) | −9.84030 | + | 34.5837i | −0.562532 | + | 1.97702i | ||||
\(307\) | 4.52710 | − | 3.92276i | 0.258375 | − | 0.223884i | −0.516034 | − | 0.856568i | \(-0.672592\pi\) |
0.774410 | + | 0.632684i | \(0.218047\pi\) | |||||||
\(308\) | −1.42115 | + | 3.33919i | −0.0809777 | + | 0.190268i | ||||
\(309\) | −0.0223314 | − | 5.32373i | −0.00127039 | − | 0.302856i | ||||
\(310\) | −39.4604 | + | 11.5866i | −2.24120 | + | 0.658076i | ||||
\(311\) | 1.31450 | − | 0.385971i | 0.0745384 | − | 0.0218864i | −0.244251 | − | 0.969712i | \(-0.578542\pi\) |
0.318789 | + | 0.947826i | \(0.396724\pi\) | |||||||
\(312\) | 7.60559 | − | 0.0319030i | 0.430582 | − | 0.00180615i | ||||
\(313\) | 1.83700 | − | 0.264121i | 0.103834 | − | 0.0149290i | −0.0902021 | − | 0.995923i | \(-0.528751\pi\) |
0.194036 | + | 0.980994i | \(0.437842\pi\) | |||||||
\(314\) | −16.3011 | − | 18.8125i | −0.919925 | − | 1.06165i | ||||
\(315\) | −22.9810 | + | 21.3409i | −1.29483 | + | 1.20242i | ||||
\(316\) | 6.39273 | − | 4.10836i | 0.359619 | − | 0.231113i | ||||
\(317\) | 9.46678 | + | 1.36112i | 0.531707 | + | 0.0764480i | 0.402939 | − | 0.915227i | \(-0.367989\pi\) |
0.128768 | + | 0.991675i | \(0.458898\pi\) | |||||||
\(318\) | 2.06662 | − | 14.8145i | 0.115890 | − | 0.830757i | ||||
\(319\) | −2.19348 | + | 2.53141i | −0.122811 | + | 0.141732i | ||||
\(320\) | 16.6113 | + | 4.87751i | 0.928599 | + | 0.272661i | ||||
\(321\) | 2.00780 | − | 0.927131i | 0.112065 | − | 0.0517474i | ||||
\(322\) | 18.8991 | − | 7.82983i | 1.05321 | − | 0.436339i | ||||
\(323\) | − | 29.1364i | − | 1.62119i | ||||||
\(324\) | 0.677895 | − | 5.35072i | 0.0376608 | − | 0.297262i | ||||
\(325\) | 15.5946 | + | 13.5128i | 0.865033 | + | 0.749556i | ||||
\(326\) | −16.8896 | + | 26.2807i | −0.935426 | + | 1.45555i | ||||
\(327\) | 0.988913 | − | 0.294882i | 0.0546870 | − | 0.0163070i | ||||
\(328\) | −7.51245 | − | 11.6896i | −0.414806 | − | 0.645451i | ||||
\(329\) | −6.92421 | − | 0.812292i | −0.381744 | − | 0.0447831i | ||||
\(330\) | −10.3945 | + | 23.0157i | −0.572196 | + | 1.26697i | ||||
\(331\) | −0.601305 | − | 4.18217i | −0.0330507 | − | 0.229873i | 0.966600 | − | 0.256289i | \(-0.0824997\pi\) |
−0.999651 | + | 0.0264158i | \(0.991591\pi\) | |||||||
\(332\) | −1.02639 | + | 2.24748i | −0.0563305 | + | 0.123347i | ||||
\(333\) | −3.11636 | + | 6.97822i | −0.170776 | + | 0.382404i | ||||
\(334\) | −5.12667 | − | 17.4598i | −0.280519 | − | 0.955359i | ||||
\(335\) | 14.3996 | − | 31.5307i | 0.786734 | − | 1.72271i | ||||
\(336\) | −0.670004 | − | 22.1669i | −0.0365517 | − | 1.20930i | ||||
\(337\) | 2.74821 | + | 3.17160i | 0.149704 | + | 0.172768i | 0.825649 | − | 0.564185i | \(-0.190809\pi\) |
−0.675944 | + | 0.736953i | \(0.736264\pi\) | |||||||
\(338\) | 13.5201 | − | 6.17443i | 0.735398 | − | 0.335845i | ||||
\(339\) | −10.2279 | + | 16.0627i | −0.555504 | + | 0.872406i | ||||
\(340\) | 2.50516 | − | 17.4238i | 0.135861 | − | 0.944937i | ||||
\(341\) | −12.4310 | − | 7.98889i | −0.673174 | − | 0.432623i | ||||
\(342\) | 2.85509 | + | 18.7401i | 0.154385 | + | 1.01335i | ||||
\(343\) | 17.3953 | + | 6.35637i | 0.939258 | + | 0.343212i | ||||
\(344\) | − | 8.59122i | − | 0.463208i | ||||||
\(345\) | 30.5889 | − | 11.8975i | 1.64685 | − | 0.640539i | ||||
\(346\) | 1.26458i | 0.0679843i | ||||||||
\(347\) | −6.03419 | + | 20.5506i | −0.323932 | + | 1.10321i | 0.623118 | + | 0.782128i | \(0.285866\pi\) |
−0.947051 | + | 0.321085i | \(0.895953\pi\) | |||||||
\(348\) | −0.421835 | + | 1.45925i | −0.0226127 | + | 0.0782242i | ||||
\(349\) | 15.7133 | − | 24.4504i | 0.841116 | − | 1.30880i | −0.108088 | − | 0.994141i | \(-0.534473\pi\) |
0.949204 | − | 0.314660i | \(-0.101891\pi\) | |||||||
\(350\) | 28.7430 | − | 34.9697i | 1.53638 | − | 1.86921i | ||||
\(351\) | −2.96830 | − | 9.65781i | −0.158436 | − | 0.515496i | ||||
\(352\) | −3.12407 | − | 6.84077i | −0.166514 | − | 0.364614i | ||||
\(353\) | 17.7678 | + | 20.5052i | 0.945686 | + | 1.09138i | 0.995701 | + | 0.0926309i | \(0.0295277\pi\) |
−0.0500149 | + | 0.998748i | \(0.515927\pi\) | |||||||
\(354\) | 21.6538 | + | 33.3852i | 1.15089 | + | 1.77441i | ||||
\(355\) | 21.1243 | + | 9.64716i | 1.12116 | + | 0.512018i | ||||
\(356\) | −3.52968 | + | 1.03641i | −0.187073 | + | 0.0549295i | ||||
\(357\) | 33.5587 | − | 5.86483i | 1.77611 | − | 0.310400i | ||||
\(358\) | −6.75813 | + | 14.7982i | −0.357178 | + | 0.782112i | ||||
\(359\) | −10.5648 | + | 1.51899i | −0.557590 | + | 0.0801693i | −0.415348 | − | 0.909663i | \(-0.636340\pi\) |
−0.142242 | + | 0.989832i | \(0.545431\pi\) | |||||||
\(360\) | −0.224570 | − | 26.7679i | −0.0118359 | − | 1.41079i | ||||
\(361\) | 1.51176 | + | 3.31028i | 0.0795661 | + | 0.174226i | ||||
\(362\) | 17.4021 | − | 11.1836i | 0.914634 | − | 0.587800i | ||||
\(363\) | 9.56267 | − | 2.85148i | 0.501910 | − | 0.149664i | ||||
\(364\) | 1.35326 | + | 2.77012i | 0.0709299 | + | 0.145194i | ||||
\(365\) | −4.81243 | − | 4.16999i | −0.251894 | − | 0.218268i | ||||
\(366\) | −5.90109 | − | 39.8555i | −0.308455 | − | 2.08328i | ||||
\(367\) | 4.41784i | 0.230609i | 0.993330 | + | 0.115305i | \(0.0367844\pi\) | ||||
−0.993330 | + | 0.115305i | \(0.963216\pi\) | |||||||
\(368\) | −7.89836 | + | 21.8237i | −0.411730 | + | 1.13764i | ||||
\(369\) | −11.9708 | + | 14.0515i | −0.623176 | + | 0.731494i | ||||
\(370\) | 4.57199 | − | 15.5708i | 0.237687 | − | 0.809486i | ||||
\(371\) | −13.4896 | + | 4.34520i | −0.700344 | + | 0.225592i | ||||
\(372\) | −6.63691 | − | 0.925846i | −0.344108 | − | 0.0480029i | ||||
\(373\) | −1.54402 | + | 10.7389i | −0.0799462 | + | 0.556038i | 0.910002 | + | 0.414605i | \(0.136080\pi\) |
−0.989948 | + | 0.141433i | \(0.954829\pi\) | |||||||
\(374\) | 23.0779 | − | 14.8313i | 1.19333 | − | 0.766906i | ||||
\(375\) | 25.0294 | − | 29.1315i | 1.29251 | − | 1.50434i | ||||
\(376\) | 4.49724 | − | 3.89688i | 0.231927 | − | 0.200966i | ||||
\(377\) | 0.404965 | + | 2.81660i | 0.0208568 | + | 0.145062i | ||||
\(378\) | −21.0098 | + | 7.06060i | −1.08063 | + | 0.363158i | ||||
\(379\) | −17.3778 | + | 5.10258i | −0.892638 | + | 0.262102i | −0.695716 | − | 0.718317i | \(-0.744913\pi\) |
−0.196922 | + | 0.980419i | \(0.563095\pi\) | |||||||
\(380\) | −2.61458 | − | 8.90444i | −0.134125 | − | 0.456788i | ||||
\(381\) | 2.59833 | − | 0.0108992i | 0.133116 | − | 0.000558381i | ||||
\(382\) | −4.43906 | − | 30.8744i | −0.227122 | − | 1.57967i | ||||
\(383\) | 22.4663 | + | 25.9275i | 1.14797 | + | 1.32483i | 0.937804 | + | 0.347166i | \(0.112856\pi\) |
0.210169 | + | 0.977665i | \(0.432598\pi\) | |||||||
\(384\) | 17.9135 | + | 15.3910i | 0.914144 | + | 0.785421i | ||||
\(385\) | 23.9192 | − | 0.622556i | 1.21903 | − | 0.0317284i | ||||
\(386\) | −4.46518 | − | 0.641995i | −0.227271 | − | 0.0326767i | ||||
\(387\) | −10.9233 | + | 3.30715i | −0.555261 | + | 0.168112i | ||||
\(388\) | −1.74674 | − | 1.51356i | −0.0886774 | − | 0.0768394i | ||||
\(389\) | −7.29732 | + | 24.8524i | −0.369989 | + | 1.26007i | 0.538667 | + | 0.842519i | \(0.318928\pi\) |
−0.908656 | + | 0.417547i | \(0.862890\pi\) | |||||||
\(390\) | 8.99422 | + | 19.4780i | 0.455440 | + | 0.986304i | ||||
\(391\) | −34.9101 | − | 7.23855i | −1.76548 | − | 0.366069i | ||||
\(392\) | −14.0184 | + | 7.30600i | −0.708035 | + | 0.369009i | ||||
\(393\) | −1.25360 | − | 8.46670i | −0.0632357 | − | 0.427088i | ||||
\(394\) | −0.0779642 | + | 0.0899755i | −0.00392778 | + | 0.00453290i | ||||
\(395\) | −42.1492 | − | 27.0876i | −2.12075 | − | 1.36293i | ||||
\(396\) | −3.08714 | + | 2.72070i | −0.155135 | + | 0.136720i | ||||
\(397\) | 15.3953 | + | 23.9556i | 0.772669 | + | 1.20230i | 0.974831 | + | 0.222944i | \(0.0715667\pi\) |
−0.202162 | + | 0.979352i | \(0.564797\pi\) | |||||||
\(398\) | 7.27085 | + | 15.9209i | 0.364455 | + | 0.798045i | ||||
\(399\) | 14.8090 | − | 10.1622i | 0.741379 | − | 0.508746i | ||||
\(400\) | 7.30875 | + | 50.8335i | 0.365437 | + | 2.54167i | ||||
\(401\) | −17.4416 | − | 7.96532i | −0.870993 | − | 0.397769i | −0.0707849 | − | 0.997492i | \(-0.522550\pi\) |
−0.800208 | + | 0.599722i | \(0.795278\pi\) | |||||||
\(402\) | 18.4467 | − | 16.1201i | 0.920036 | − | 0.803997i | ||||
\(403\) | −12.0449 | + | 3.53670i | −0.599998 | + | 0.176175i | ||||
\(404\) | 2.49247 | − | 5.45774i | 0.124005 | − | 0.271533i | ||||
\(405\) | −33.9475 | + | 10.5897i | −1.68687 | + | 0.526207i | ||||
\(406\) | 6.15357 | − | 1.04884i | 0.305397 | − | 0.0520529i | ||||
\(407\) | 5.30386 | − | 2.42219i | 0.262903 | − | 0.120064i | ||||
\(408\) | −15.6181 | + | 24.5279i | −0.773212 | + | 1.21431i | ||||
\(409\) | −2.75918 | − | 0.396710i | −0.136433 | − | 0.0196161i | 0.0737601 | − | 0.997276i | \(-0.476500\pi\) |
−0.210193 | + | 0.977660i | \(0.567409\pi\) | |||||||
\(410\) | 21.1914 | − | 32.9744i | 1.04657 | − | 1.62849i | ||||
\(411\) | 2.67300 | − | 9.24670i | 0.131849 | − | 0.456106i | ||||
\(412\) | −0.518947 | + | 1.76737i | −0.0255667 | + | 0.0870721i | ||||
\(413\) | 19.5512 | − | 32.2367i | 0.962050 | − | 1.58626i | ||||
\(414\) | 23.1630 | + | 1.23488i | 1.13840 | + | 0.0606909i | ||||
\(415\) | 16.2905 | 0.799668 | ||||||||
\(416\) | −6.13005 | − | 1.79994i | −0.300550 | − | 0.0882495i | ||||
\(417\) | −5.18946 | + | 17.9519i | −0.254129 | + | 0.879108i | ||||
\(418\) | 7.81911 | − | 12.1668i | 0.382445 | − | 0.595096i | ||||
\(419\) | −2.70970 | + | 18.8464i | −0.132378 | + | 0.920707i | 0.810065 | + | 0.586340i | \(0.199432\pi\) |
−0.942443 | + | 0.334367i | \(0.891478\pi\) | |||||||
\(420\) | 9.72966 | − | 4.80378i | 0.474759 | − | 0.234400i | ||||
\(421\) | −12.4077 | − | 27.1691i | −0.604714 | − | 1.32414i | −0.926131 | − | 0.377201i | \(-0.876887\pi\) |
0.321418 | − | 0.946938i | \(-0.395841\pi\) | |||||||
\(422\) | 17.8174 | − | 15.4389i | 0.867339 | − | 0.751553i | ||||
\(423\) | −6.68587 | − | 4.21791i | −0.325078 | − | 0.205082i | ||||
\(424\) | 5.02513 | − | 11.0035i | 0.244042 | − | 0.534377i | ||||
\(425\) | −75.6954 | + | 22.2262i | −3.67177 | + | 1.07813i | ||||
\(426\) | 10.7998 | + | 12.3585i | 0.523253 | + | 0.598773i | ||||
\(427\) | −31.5655 | + | 21.4666i | −1.52756 | + | 1.03884i | ||||
\(428\) | −0.757382 | + | 0.108895i | −0.0366095 | + | 0.00526365i | ||||
\(429\) | −3.17280 | + | 7.02531i | −0.153184 | + | 0.339185i | ||||
\(430\) | 22.0444 | − | 10.0673i | 1.06308 | − | 0.485490i | ||||
\(431\) | 5.91406 | + | 9.20246i | 0.284870 | + | 0.443267i | 0.953968 | − | 0.299907i | \(-0.0969557\pi\) |
−0.669098 | + | 0.743174i | \(0.733319\pi\) | |||||||
\(432\) | 10.1575 | − | 23.0036i | 0.488704 | − | 1.10676i | ||||
\(433\) | 19.8983 | − | 30.9624i | 0.956252 | − | 1.48796i | 0.0854384 | − | 0.996343i | \(-0.472771\pi\) |
0.870813 | − | 0.491614i | \(-0.163593\pi\) | |||||||
\(434\) | 8.44333 | + | 26.2121i | 0.405293 | + | 1.25822i | ||||
\(435\) | 9.90722 | − | 1.46689i | 0.475015 | − | 0.0703318i | ||||
\(436\) | −0.357044 | −0.0170993 | ||||||||
\(437\) | −18.3269 | + | 4.17429i | −0.876694 | + | 0.199683i | ||||
\(438\) | −1.88666 | − | 4.08576i | −0.0901479 | − | 0.195225i | ||||
\(439\) | −1.42069 | + | 4.83844i | −0.0678060 | + | 0.230926i | −0.986423 | − | 0.164222i | \(-0.947489\pi\) |
0.918617 | + | 0.395148i | \(0.129307\pi\) | |||||||
\(440\) | −13.3743 | + | 15.4348i | −0.637596 | + | 0.735825i | ||||
\(441\) | 14.6855 | + | 15.0112i | 0.699309 | + | 0.714819i | ||||
\(442\) | 3.31667 | − | 23.0679i | 0.157758 | − | 1.09723i | ||||
\(443\) | 0.489932 | + | 0.762349i | 0.0232774 | + | 0.0362203i | 0.852697 | − | 0.522405i | \(-0.174965\pi\) |
−0.829420 | + | 0.558626i | \(0.811329\pi\) | |||||||
\(444\) | 1.72321 | − | 2.00562i | 0.0817798 | − | 0.0951827i | ||||
\(445\) | 15.8835 | + | 18.3305i | 0.752948 | + | 0.868949i | ||||
\(446\) | −1.65071 | − | 11.4810i | −0.0781636 | − | 0.543640i | ||||
\(447\) | 0.0536283 | + | 12.7848i | 0.00253653 | + | 0.604702i | ||||
\(448\) | 2.97550 | − | 11.2042i | 0.140579 | − | 0.529350i | ||||
\(449\) | 5.57247 | + | 18.9781i | 0.262981 | + | 0.895632i | 0.980070 | + | 0.198650i | \(0.0636558\pi\) |
−0.717089 | + | 0.696981i | \(0.754526\pi\) | |||||||
\(450\) | 46.5083 | − | 21.7130i | 2.19242 | − | 1.02356i | ||||
\(451\) | 13.9401 | − | 2.00428i | 0.656413 | − | 0.0943780i | ||||
\(452\) | 4.97933 | − | 4.31461i | 0.234208 | − | 0.202942i | ||||
\(453\) | 25.7926 | − | 30.0198i | 1.21184 | − | 1.41045i | ||||
\(454\) | −5.72038 | − | 8.90109i | −0.268471 | − | 0.417749i | ||||
\(455\) | 12.9072 | − | 15.7034i | 0.605101 | − | 0.736186i | ||||
\(456\) | −2.11804 | + | 15.1832i | −0.0991864 | + | 0.711016i | ||||
\(457\) | −21.3038 | + | 24.5858i | −0.996547 | + | 1.15008i | −0.00787784 | + | 0.999969i | \(0.502508\pi\) |
−0.988670 | + | 0.150108i | \(0.952038\pi\) | |||||||
\(458\) | 14.1356 | + | 4.15058i | 0.660513 | + | 0.193944i | ||||
\(459\) | 37.1980 | + | 10.4157i | 1.73625 | + | 0.486163i | ||||
\(460\) | −11.3185 | + | 0.920500i | −0.527729 | + | 0.0429185i | ||||
\(461\) | −6.06769 | −0.282600 | −0.141300 | − | 0.989967i | \(-0.545128\pi\) | ||||
−0.141300 | + | 0.989967i | \(0.545128\pi\) | |||||||
\(462\) | 15.5873 | + | 6.55685i | 0.725188 | + | 0.305052i | ||||
\(463\) | 22.1809 | − | 25.5981i | 1.03083 | − | 1.18965i | 0.0492159 | − | 0.998788i | \(-0.484328\pi\) |
0.981618 | − | 0.190857i | \(-0.0611268\pi\) | |||||||
\(464\) | −3.82889 | + | 5.95786i | −0.177752 | + | 0.276587i | ||||
\(465\) | 12.6255 | + | 42.3406i | 0.585492 | + | 1.96350i | ||||
\(466\) | 26.7017 | − | 17.1601i | 1.23693 | − | 0.794928i | ||||
\(467\) | 1.89678 | + | 4.15338i | 0.0877727 | + | 0.192195i | 0.948428 | − | 0.316993i | \(-0.102673\pi\) |
−0.860655 | + | 0.509188i | \(0.829946\pi\) | |||||||
\(468\) | 0.0293270 | + | 3.49567i | 0.00135564 | + | 0.161587i | ||||
\(469\) | −21.3569 | − | 9.08945i | −0.986169 | − | 0.419712i | ||||
\(470\) | 15.2690 | + | 6.97313i | 0.704308 | + | 0.321647i | ||||
\(471\) | −20.1370 | + | 17.5973i | −0.927865 | + | 0.810839i | ||||
\(472\) | 9.06635 | + | 30.8772i | 0.417313 | + | 1.42124i | ||||
\(473\) | 7.92057 | + | 3.61720i | 0.364188 | + | 0.166319i | ||||
\(474\) | −19.2686 | − | 29.7077i | −0.885035 | − | 1.36452i | ||||
\(475\) | −31.4329 | + | 27.2368i | −1.44224 | + | 1.24971i | ||||
\(476\) | −11.7068 | − | 1.37334i | −0.536578 | − | 0.0629470i | ||||
\(477\) | −15.9247 | − | 2.15343i | −0.729144 | − | 0.0985990i | ||||
\(478\) | 0.383449 | − | 2.66695i | 0.0175386 | − | 0.121983i | ||||
\(479\) | 20.7002 | + | 13.3032i | 0.945816 | + | 0.607839i | 0.920038 | − | 0.391829i | \(-0.128157\pi\) |
0.0257778 | + | 0.999668i | \(0.491794\pi\) | |||||||
\(480\) | −6.24453 | + | 21.6017i | −0.285022 | + | 0.985978i | ||||
\(481\) | 1.39555 | − | 4.75282i | 0.0636318 | − | 0.216710i | ||||
\(482\) | 6.65676 | 0.303207 | ||||||||
\(483\) | −8.49685 | − | 20.2683i | −0.386620 | − | 0.922239i | ||||
\(484\) | −3.45257 | −0.156935 | ||||||||
\(485\) | −4.29330 | + | 14.6216i | −0.194949 | + | 0.663934i | ||||
\(486\) | −24.9459 | − | 3.05419i | −1.13157 | − | 0.138541i | ||||
\(487\) | 14.9737 | + | 9.62299i | 0.678522 | + | 0.436060i | 0.833989 | − | 0.551782i | \(-0.186052\pi\) |
−0.155467 | + | 0.987841i | \(0.549688\pi\) | |||||||
\(488\) | 4.63702 | − | 32.2512i | 0.209908 | − | 1.45994i | ||||
\(489\) | 28.3097 | + | 18.0262i | 1.28021 | + | 0.815174i | ||||
\(490\) | −35.1736 | − | 27.4088i | −1.58898 | − | 1.23820i | ||||
\(491\) | −11.4454 | + | 9.91745i | −0.516521 | + | 0.447568i | −0.873698 | − | 0.486468i | \(-0.838285\pi\) |
0.357177 | + | 0.934037i | \(0.383739\pi\) | |||||||
\(492\) | 5.35837 | − | 3.47546i | 0.241574 | − | 0.156686i | ||||
\(493\) | −9.89611 | − | 4.51940i | −0.445698 | − | 0.203544i | ||||
\(494\) | −3.46153 | − | 11.7889i | −0.155742 | − | 0.530407i | ||||
\(495\) | 24.7729 | + | 11.0632i | 1.11346 | + | 0.497253i | ||||
\(496\) | −28.4199 | − | 12.9789i | −1.27609 | − | 0.582771i | ||||
\(497\) | 6.08957 | − | 14.3083i | 0.273155 | − | 0.641813i | ||||
\(498\) | 10.4926 | + | 4.73872i | 0.470185 | + | 0.212347i | ||||
\(499\) | −9.37653 | − | 20.5317i | −0.419751 | − | 0.919127i | −0.994880 | − | 0.101064i | \(-0.967775\pi\) |
0.575129 | − | 0.818063i | \(-0.304952\pi\) | |||||||
\(500\) | −11.1791 | + | 7.18435i | −0.499943 | + | 0.321294i | ||||
\(501\) | −18.7342 | + | 5.58632i | −0.836983 | + | 0.249579i | ||||
\(502\) | −9.79140 | + | 15.2357i | −0.437011 | + | 0.680003i | ||||
\(503\) | 11.8191 | − | 13.6400i | 0.526987 | − | 0.608176i | −0.428379 | − | 0.903599i | \(-0.640915\pi\) |
0.955366 | + | 0.295423i | \(0.0954607\pi\) | |||||||
\(504\) | −17.9140 | + | 0.616680i | −0.797952 | + | 0.0274691i | ||||
\(505\) | −39.5594 | −1.76037 | ||||||||
\(506\) | −12.6352 | − | 12.3912i | −0.561703 | − | 0.550857i | ||||
\(507\) | −6.69420 | − | 14.4970i | −0.297300 | − | 0.643835i | ||||
\(508\) | −0.862593 | − | 0.253280i | −0.0382714 | − | 0.0112375i | ||||
\(509\) | −7.26808 | + | 8.38782i | −0.322152 | + | 0.371783i | −0.893607 | − | 0.448850i | \(-0.851834\pi\) |
0.571455 | + | 0.820633i | \(0.306379\pi\) | |||||||
\(510\) | −81.2382 | − | 11.3327i | −3.59729 | − | 0.501820i | ||||
\(511\) | −2.70746 | + | 3.29399i | −0.119771 | + | 0.145718i | ||||
\(512\) | 3.22050 | + | 5.01119i | 0.142327 | + | 0.221465i | ||||
\(513\) | 20.1199 | − | 3.15171i | 0.888315 | − | 0.139151i | ||||
\(514\) | −2.27065 | + | 1.96753i | −0.100154 | + | 0.0867839i | ||||
\(515\) | 12.0211 | − | 1.72838i | 0.529715 | − | 0.0761615i | ||||
\(516\) | 3.94875 | − | 0.0165638i | 0.173834 | − | 0.000729180i | ||||
\(517\) | 1.69919 | + | 5.78690i | 0.0747301 | + | 0.254507i | ||||
\(518\) | −10.5024 | − | 2.78912i | −0.461449 | − | 0.122547i | ||||
\(519\) | 1.35855 | − | 0.00569871i | 0.0596339 | − | 0.000250146i | ||||
\(520\) | 2.46920 | + | 17.1737i | 0.108282 | + | 0.753115i | ||||
\(521\) | −10.6478 | − | 12.2883i | −0.466490 | − | 0.538359i | 0.472942 | − | 0.881094i | \(-0.343192\pi\) |
−0.939432 | + | 0.342735i | \(0.888647\pi\) | |||||||
\(522\) | 6.80789 | + | 1.93709i | 0.297973 | + | 0.0847842i | ||||
\(523\) | −2.77927 | − | 4.32462i | −0.121529 | − | 0.189103i | 0.775159 | − | 0.631767i | \(-0.217670\pi\) |
−0.896688 | + | 0.442664i | \(0.854033\pi\) | |||||||
\(524\) | −0.421444 | + | 2.93121i | −0.0184109 | + | 0.128050i | ||||
\(525\) | −37.6979 | − | 30.7213i | −1.64527 | − | 1.34079i | ||||
\(526\) | −0.564849 | + | 0.651870i | −0.0246286 | + | 0.0284229i | ||||
\(527\) | 13.5216 | − | 46.0504i | 0.589011 | − | 2.00599i | ||||
\(528\) | −17.4180 | + | 8.04299i | −0.758020 | + | 0.350026i | ||||
\(529\) | 0.448403 | + | 22.9956i | 0.0194958 | + | 0.999810i | ||||
\(530\) | 34.1226 | 1.48219 | ||||||||
\(531\) | 35.7686 | − | 23.4134i | 1.55222 | − | 1.01605i | ||||
\(532\) | −5.91489 | + | 1.90528i | −0.256443 | + | 0.0826043i | ||||
\(533\) | 6.46845 | − | 10.0651i | 0.280180 | − | 0.435968i | ||||
\(534\) | 4.89831 | + | 16.4269i | 0.211971 | + | 0.710862i | ||||
\(535\) | 2.72753 | + | 4.24412i | 0.117922 | + | 0.183490i | ||||
\(536\) | 18.0212 | − | 8.22999i | 0.778395 | − | 0.355481i | ||||
\(537\) | 15.9284 | + | 7.19366i | 0.687361 | + | 0.310429i | ||||
\(538\) | 38.4343 | − | 5.52602i | 1.65702 | − | 0.238244i | ||||
\(539\) | −0.833452 | − | 16.0001i | −0.0358993 | − | 0.689175i | ||||
\(540\) | 12.3028 | − | 0.154827i | 0.529429 | − | 0.00666267i | ||||
\(541\) | 23.7024 | − | 6.95965i | 1.01904 | − | 0.299219i | 0.270796 | − | 0.962637i | \(-0.412713\pi\) |
0.748249 | + | 0.663418i | \(0.230895\pi\) | |||||||
\(542\) | 0.998620 | − | 2.18667i | 0.0428944 | − | 0.0939257i | ||||
\(543\) | −12.0932 | − | 18.6449i | −0.518967 | − | 0.800129i | ||||
\(544\) | 18.4600 | − | 15.9957i | 0.791465 | − | 0.685808i | ||||
\(545\) | 0.977928 | + | 2.14136i | 0.0418898 | + | 0.0917259i | ||||
\(546\) | 12.8814 | − | 6.35989i | 0.551274 | − | 0.272178i | ||||
\(547\) | −0.0951187 | + | 0.661565i | −0.00406698 | + | 0.0282865i | −0.991754 | − | 0.128157i | \(-0.959094\pi\) |
0.987687 | + | 0.156444i | \(0.0500029\pi\) | |||||||
\(548\) | −1.80049 | + | 2.80161i | −0.0769129 | + | 0.119679i | ||||
\(549\) | −42.7906 | + | 6.51922i | −1.82626 | + | 0.278234i | ||||
\(550\) | −37.5735 | − | 11.0326i | −1.60214 | − | 0.470431i | ||||
\(551\) | −5.73559 | −0.244344 | ||||||||
\(552\) | 17.6657 | + | 6.30981i | 0.751901 | + | 0.268563i | ||||
\(553\) | −17.3976 | + | 28.6857i | −0.739819 | + | 1.21984i | ||||
\(554\) | 9.52070 | − | 32.4245i | 0.404496 | − | 1.37759i | ||||
\(555\) | −16.7485 | − | 4.84158i | −0.710933 | − | 0.205514i | ||||
\(556\) | 3.49553 | − | 5.43915i | 0.148243 | − | 0.230671i | ||||
\(557\) | −32.9057 | − | 4.73112i | −1.39426 | − | 0.200464i | −0.596100 | − | 0.802911i | \(-0.703284\pi\) |
−0.798159 | + | 0.602446i | \(0.794193\pi\) | |||||||
\(558\) | −4.18442 | + | 30.9440i | −0.177141 | + | 1.30996i | ||||
\(559\) | 6.72883 | − | 3.07295i | 0.284599 | − | 0.129972i | ||||
\(560\) | 49.8717 | − | 8.50031i | 2.10746 | − | 0.359204i | ||||
\(561\) | −16.0374 | − | 24.7260i | −0.677099 | − | 1.04393i | ||||
\(562\) | −1.58659 | + | 3.47414i | −0.0669261 | + | 0.146548i | ||||
\(563\) | −5.98132 | + | 1.75627i | −0.252083 | + | 0.0740181i | −0.405332 | − | 0.914169i | \(-0.632844\pi\) |
0.153250 | + | 0.988187i | \(0.451026\pi\) | |||||||
\(564\) | 1.79978 | + | 2.05954i | 0.0757844 | + | 0.0867222i | ||||
\(565\) | −39.5149 | − | 18.0459i | −1.66241 | − | 0.759195i | ||||
\(566\) | −2.25747 | − | 15.7011i | −0.0948886 | − | 0.659964i | ||||
\(567\) | 7.67997 | + | 22.5393i | 0.322529 | + | 0.946560i | ||||
\(568\) | 5.51376 | + | 12.0735i | 0.231352 | + | 0.506591i | ||||
\(569\) | 11.5554 | + | 17.9805i | 0.484426 | + | 0.753782i | 0.994317 | − | 0.106457i | \(-0.0339506\pi\) |
−0.509891 | + | 0.860239i | \(0.670314\pi\) | |||||||
\(570\) | −41.4407 | + | 12.3571i | −1.73576 | + | 0.517584i | ||||
\(571\) | −33.5143 | − | 21.5383i | −1.40253 | − | 0.901352i | −0.402629 | − | 0.915363i | \(-0.631903\pi\) |
−0.999902 | + | 0.0140118i | \(0.995540\pi\) | |||||||
\(572\) | 1.74658 | − | 2.01566i | 0.0730280 | − | 0.0842788i | ||||
\(573\) | −33.1487 | + | 4.90807i | −1.38481 | + | 0.205038i | ||||
\(574\) | −22.4416 | − | 13.6106i | −0.936694 | − | 0.568094i | ||||
\(575\) | 24.8250 | + | 44.4284i | 1.03527 | + | 1.85279i | ||||
\(576\) | 8.52434 | − | 10.0060i | 0.355181 | − | 0.416917i | ||||
\(577\) | 6.29451 | − | 21.4371i | 0.262044 | − | 0.892439i | −0.718399 | − | 0.695632i | \(-0.755125\pi\) |
0.980442 | − | 0.196807i | \(-0.0630573\pi\) | |||||||
\(578\) | 46.6246 | + | 40.4005i | 1.93933 | + | 1.68044i | ||||
\(579\) | −0.669582 | + | 4.79989i | −0.0278269 | + | 0.199476i | ||||
\(580\) | −3.42992 | − | 0.493148i | −0.142420 | − | 0.0204769i | ||||
\(581\) | −0.283817 | − | 10.9045i | −0.0117747 | − | 0.452395i | ||||
\(582\) | −7.01856 | + | 8.16884i | −0.290929 | + | 0.338609i | ||||
\(583\) | 8.02878 | + | 9.26570i | 0.332518 | + | 0.383746i | ||||
\(584\) | −0.517947 | − | 3.60240i | −0.0214328 | − | 0.149068i | ||||
\(585\) | 20.8849 | − | 9.75037i | 0.863483 | − | 0.403128i | ||||
\(586\) | 5.07557 | + | 17.2858i | 0.209670 | + | 0.714070i | ||||
\(587\) | −0.0377979 | + | 0.0110985i | −0.00156008 | + | 0.000458082i | −0.282513 | − | 0.959264i | \(-0.591168\pi\) |
0.280952 | + | 0.959722i | \(0.409350\pi\) | |||||||
\(588\) | −3.38506 | − | 6.42913i | −0.139598 | − | 0.265133i | ||||
\(589\) | −3.60099 | − | 25.0454i | −0.148376 | − | 1.03198i | ||||
\(590\) | −68.6042 | + | 59.4459i | −2.82439 | + | 2.44735i | ||||
\(591\) | 0.0970132 | + | 0.0833525i | 0.00399059 | + | 0.00342866i | ||||
\(592\) | 10.3713 | − | 6.66522i | 0.426257 | − | 0.273939i | ||||
\(593\) | 2.69979 | − | 18.7774i | 0.110867 | − | 0.771097i | −0.856213 | − | 0.516623i | \(-0.827189\pi\) |
0.967080 | − | 0.254474i | \(-0.0819022\pi\) | |||||||
\(594\) | 12.7379 | + | 14.3319i | 0.522644 | + | 0.588045i | ||||
\(595\) | 23.8277 | + | 73.9725i | 0.976841 | + | 3.03258i | ||||
\(596\) | 1.24624 | − | 4.24431i | 0.0510480 | − | 0.173854i | ||||
\(597\) | 17.0713 | − | 7.88291i | 0.698682 | − | 0.322626i | ||||
\(598\) | −14.9850 | + | 1.21868i | −0.612781 | + | 0.0498356i | ||||
\(599\) | 9.75438i | 0.398553i | 0.979943 | + | 0.199277i | \(0.0638592\pi\) | ||||
−0.979943 | + | 0.199277i | \(0.936141\pi\) | |||||||
\(600\) | 41.0610 | − | 6.07959i | 1.67631 | − | 0.248198i | ||||
\(601\) | −23.1540 | − | 20.0631i | −0.944471 | − | 0.818389i | 0.0390396 | − | 0.999238i | \(-0.487570\pi\) |
−0.983511 | + | 0.180849i | \(0.942116\pi\) | |||||||
\(602\) | −7.12293 | − | 14.5807i | −0.290309 | − | 0.594263i | ||||
\(603\) | −17.4011 | − | 19.7448i | −0.708629 | − | 0.804072i | ||||
\(604\) | −11.5200 | + | 7.40343i | −0.468741 | + | 0.301241i | ||||
\(605\) | 9.45645 | + | 20.7067i | 0.384459 | + | 0.841848i | ||||
\(606\) | −25.4800 | − | 11.5074i | −1.03506 | − | 0.467457i | ||||
\(607\) | 44.7437 | − | 6.43317i | 1.81609 | − | 0.261114i | 0.851403 | − | 0.524512i | \(-0.175752\pi\) |
0.964687 | + | 0.263398i | \(0.0848433\pi\) | |||||||
\(608\) | 5.34952 | − | 11.7138i | 0.216952 | − | 0.475058i | ||||
\(609\) | −1.15451 | − | 6.60613i | −0.0467830 | − | 0.267694i | ||||
\(610\) | 88.1877 | − | 25.8943i | 3.57062 | − | 1.04843i | ||||
\(611\) | 4.66071 | + | 2.12848i | 0.188552 | + | 0.0861090i | ||||
\(612\) | −11.3038 | − | 7.13121i | −0.456928 | − | 0.288262i | ||||
\(613\) | 26.0111 | + | 30.0184i | 1.05058 | + | 1.21243i | 0.976576 | + | 0.215173i | \(0.0690315\pi\) |
0.0740014 | + | 0.997258i | \(0.476423\pi\) | |||||||
\(614\) | 4.01191 | + | 8.78485i | 0.161907 | + | 0.354528i | ||||
\(615\) | −35.5203 | − | 22.6176i | −1.43232 | − | 0.912029i | ||||
\(616\) | 10.5647 | + | 8.68358i | 0.425665 | + | 0.349872i | ||||
\(617\) | 18.5417 | − | 28.8515i | 0.746463 | − | 1.16152i | −0.235395 | − | 0.971900i | \(-0.575638\pi\) |
0.981858 | − | 0.189619i | \(-0.0607252\pi\) | |||||||
\(618\) | 8.24553 | + | 2.38358i | 0.331684 | + | 0.0958817i | ||||
\(619\) | 1.58338 | − | 5.39250i | 0.0636414 | − | 0.216743i | −0.921533 | − | 0.388301i | \(-0.873062\pi\) |
0.985174 | + | 0.171558i | \(0.0548802\pi\) | |||||||
\(620\) | − | 15.2869i | − | 0.613938i | ||||||
\(621\) | 1.22226 | − | 24.8899i | 0.0490477 | − | 0.998796i | ||||
\(622\) | 2.20874i | 0.0885624i | ||||||||
\(623\) | 11.9933 | − | 10.9514i | 0.480502 | − | 0.438759i | ||||
\(624\) | −4.52622 | + | 15.6576i | −0.181194 | + | 0.626804i | ||||
\(625\) | 29.0699 | + | 18.6821i | 1.16279 | + | 0.747282i | ||||
\(626\) | −0.425824 | + | 2.96167i | −0.0170193 | + | 0.118372i | ||||
\(627\) | −13.1061 | − | 8.34533i | −0.523409 | − | 0.333281i | ||||
\(628\) | 8.41656 | − | 3.84372i | 0.335857 | − | 0.153381i | ||||
\(629\) | 12.4019 | + | 14.3126i | 0.494498 | + | 0.570681i | ||||
\(630\) | −22.5742 | − | 45.2432i | −0.899379 | − | 1.80253i | ||||
\(631\) | −13.3365 | + | 29.2029i | −0.530919 | + | 1.16255i | 0.434219 | + | 0.900807i | \(0.357025\pi\) |
−0.965138 | + | 0.261743i | \(0.915703\pi\) | |||||||
\(632\) | −8.06767 | − | 27.4759i | −0.320915 | − | 1.09293i | ||||
\(633\) | −16.6665 | − | 19.0719i | −0.662433 | − | 0.758040i | ||||
\(634\) | −6.40551 | + | 14.0261i | −0.254395 | + | 0.557048i | ||||
\(635\) | 0.843562 | + | 5.86710i | 0.0334757 | + | 0.232829i | ||||
\(636\) | 5.06719 | + | 2.28847i | 0.200927 | + | 0.0907436i | ||||
\(637\) | −10.7364 | − | 8.36624i | −0.425391 | − | 0.331483i | ||||
\(638\) | −2.91958 | − | 4.54295i | −0.115587 | − | 0.179857i | ||||
\(639\) | 13.2283 | − | 11.6581i | 0.523302 | − | 0.461186i | ||||
\(640\) | −29.1279 | + | 45.3238i | −1.15138 | + | 1.79158i | ||||
\(641\) | −30.2329 | − | 26.1970i | −1.19413 | − | 1.03472i | −0.998539 | − | 0.0540323i | \(-0.982793\pi\) |
−0.195589 | − | 0.980686i | \(-0.562662\pi\) | |||||||
\(642\) | 0.522220 | + | 3.52703i | 0.0206104 | + | 0.139201i | ||||
\(643\) | 39.3025i | 1.54994i | 0.631998 | + | 0.774970i | \(0.282235\pi\) | ||||
−0.631998 | + | 0.774970i | \(0.717765\pi\) | |||||||
\(644\) | 0.813357 | + | 7.56034i | 0.0320508 | + | 0.297919i | ||||
\(645\) | −10.9148 | − | 23.6372i | −0.429770 | − | 0.930714i | ||||
\(646\) | 45.0717 | + | 13.2342i | 1.77332 | + | 0.520695i | ||||
\(647\) | 18.5654 | − | 21.4256i | 0.729882 | − | 0.842329i | −0.262576 | − | 0.964911i | \(-0.584572\pi\) |
0.992458 | + | 0.122582i | \(0.0391175\pi\) | |||||||
\(648\) | −18.6269 | − | 8.13175i | −0.731735 | − | 0.319445i | ||||
\(649\) | −32.2840 | − | 4.64175i | −1.26726 | − | 0.182204i | ||||
\(650\) | −27.9866 | + | 17.9859i | −1.09772 | + | 0.705464i | ||||
\(651\) | 28.1219 | − | 9.18889i | 1.10219 | − | 0.360141i | ||||
\(652\) | −7.60430 | − | 8.77583i | −0.297807 | − | 0.343688i | ||||
\(653\) | −10.0205 | + | 1.44073i | −0.392132 | + | 0.0563801i | −0.335561 | − | 0.942018i | \(-0.608926\pi\) |
−0.0565712 | + | 0.998399i | \(0.518017\pi\) | |||||||
\(654\) | 0.00697874 | + | 1.66371i | 0.000272890 | + | 0.0650562i | ||||
\(655\) | 18.7342 | − | 5.50085i | 0.732004 | − | 0.214936i | ||||
\(656\) | 28.5713 | − | 8.38928i | 1.11552 | − | 0.327546i | ||||
\(657\) | −4.38088 | + | 2.04527i | −0.170914 | + | 0.0797936i | ||||
\(658\) | 4.40165 | − | 10.3423i | 0.171594 | − | 0.403183i | ||||
\(659\) | 28.4236 | − | 24.6292i | 1.10723 | − | 0.959417i | 0.107830 | − | 0.994169i | \(-0.465610\pi\) |
0.999396 | + | 0.0347525i | \(0.0110643\pi\) | |||||||
\(660\) | −7.12003 | − | 6.11744i | −0.277147 | − | 0.238121i | ||||
\(661\) | 3.82150 | + | 5.94637i | 0.148639 | + | 0.231287i | 0.907587 | − | 0.419865i | \(-0.137923\pi\) |
−0.758948 | + | 0.651152i | \(0.774286\pi\) | |||||||
\(662\) | 6.74261 | + | 0.969440i | 0.262059 | + | 0.0376784i | ||||
\(663\) | −24.7971 | − | 3.45918i | −0.963040 | − | 0.134344i | ||||
\(664\) | 7.03656 | + | 6.09721i | 0.273071 | + | 0.236618i | ||||
\(665\) | 27.6275 | + | 30.2560i | 1.07135 | + | 1.17328i | ||||
\(666\) | −9.37925 | − | 7.99039i | −0.363438 | − | 0.309621i | ||||
\(667\) | −1.42493 | + | 6.87216i | −0.0551735 | + | 0.266091i | ||||
\(668\) | 6.76393 | 0.261704 | ||||||||
\(669\) | −12.3267 | + | 1.82512i | −0.476578 | + | 0.0705632i | ||||
\(670\) | 42.2350 | + | 36.5968i | 1.63168 | + | 1.41386i | ||||
\(671\) | 27.7812 | + | 17.8539i | 1.07248 | + | 0.689243i | ||||
\(672\) | 14.5685 | + | 3.80360i | 0.561992 | + | 0.146727i | ||||
\(673\) | 8.07464 | − | 5.18925i | 0.311254 | − | 0.200031i | −0.375682 | − | 0.926749i | \(-0.622591\pi\) |
0.686936 | + | 0.726718i | \(0.258955\pi\) | |||||||
\(674\) | −6.15449 | + | 2.81066i | −0.237062 | + | 0.108263i | ||||
\(675\) | −23.5361 | − | 49.8666i | −0.905906 | − | 1.91936i | ||||
\(676\) | 0.786260 | + | 5.46856i | 0.0302408 | + | 0.210329i | ||||
\(677\) | 9.56671 | − | 20.9482i | 0.367679 | − | 0.805104i | −0.631870 | − | 0.775074i | \(-0.717712\pi\) |
0.999549 | − | 0.0300299i | \(-0.00956026\pi\) | |||||||
\(678\) | −20.2020 | − | 23.1177i | −0.775854 | − | 0.887831i | ||||
\(679\) | 9.86220 | + | 2.61910i | 0.378477 | + | 0.100512i | ||||
\(680\) | −60.3397 | − | 27.5562i | −2.31392 | − | 1.05673i | ||||
\(681\) | −9.53677 | + | 6.18559i | −0.365450 | + | 0.237032i | ||||
\(682\) | 18.0045 | − | 15.6010i | 0.689429 | − | 0.597394i | ||||
\(683\) | −42.2552 | + | 19.2973i | −1.61685 | + | 0.738391i | −0.998857 | − | 0.0477933i | \(-0.984781\pi\) |
−0.617993 | + | 0.786184i | \(0.712054\pi\) | |||||||
\(684\) | −6.98266 | − | 0.944235i | −0.266989 | − | 0.0361037i | ||||
\(685\) | 21.7340 | + | 3.12488i | 0.830415 | + | 0.119396i | ||||
\(686\) | −17.7340 | + | 24.0220i | −0.677089 | + | 0.917164i | ||||
\(687\) | 4.39532 | − | 15.2047i | 0.167692 | − | 0.580097i | ||||
\(688\) | 17.6649 | + | 5.18689i | 0.673468 | + | 0.197748i | ||||
\(689\) | 10.4156 | 0.396802 | ||||||||
\(690\) | 4.51047 | + | 52.7227i | 0.171710 | + | 2.00712i | ||||
\(691\) | − | 15.4525i | − | 0.587841i | −0.955830 | − | 0.293920i | \(-0.905040\pi\) | ||
0.955830 | − | 0.293920i | \(-0.0949600\pi\) | |||||||
\(692\) | −0.451013 | − | 0.132429i | −0.0171449 | − | 0.00503421i | ||||
\(693\) | 6.97386 | − | 16.7752i | 0.264915 | − | 0.637237i | ||||
\(694\) | −29.0493 | − | 18.6688i | −1.10270 | − | 0.708659i | ||||
\(695\) | −42.1953 | − | 6.06677i | −1.60056 | − | 0.230126i | ||||
\(696\) | 4.82839 | + | 3.07447i | 0.183019 | + | 0.116538i | ||||
\(697\) | 19.0022 | + | 41.6091i | 0.719761 | + | 1.57606i | ||||
\(698\) | 30.6856 | + | 35.4131i | 1.16147 | + | 1.34041i | ||||
\(699\) | −18.5557 | − | 28.6086i | −0.701841 | − | 1.08208i | ||||
\(700\) | 9.46192 | + | 13.9133i | 0.357627 | + | 0.525873i | ||||
\(701\) | 8.77256 | + | 29.8766i | 0.331335 | + | 1.12842i | 0.941742 | + | 0.336336i | \(0.109188\pi\) |
−0.610407 | + | 0.792088i | \(0.708994\pi\) | |||||||
\(702\) | 16.2881 | − | 0.204980i | 0.614756 | − | 0.00773648i | ||||
\(703\) | 9.08209 | + | 4.14765i | 0.342537 | + | 0.156432i | ||||
\(704\) | −9.92665 | + | 1.42724i | −0.374125 | + | 0.0537910i | ||||
\(705\) | 7.42251 | − | 16.4351i | 0.279548 | − | 0.618983i | ||||
\(706\) | −39.7903 | + | 18.1716i | −1.49753 | + | 0.683898i | ||||
\(707\) | 0.689214 | + | 26.4802i | 0.0259206 | + | 0.995892i | ||||
\(708\) | −14.1745 | + | 4.22667i | −0.532710 | + | 0.158848i | ||||
\(709\) | −1.09759 | − | 0.705378i | −0.0412209 | − | 0.0264910i | 0.519868 | − | 0.854247i | \(-0.325981\pi\) |
−0.561089 | + | 0.827756i | \(0.689617\pi\) | |||||||
\(710\) | −24.5184 | + | 28.2958i | −0.920160 | + | 1.06192i | ||||
\(711\) | −31.8286 | + | 20.8343i | −1.19366 | + | 0.781349i | ||||
\(712\) | 13.8626i | 0.519523i | ||||||||
\(713\) | −30.9031 | − | 1.90763i | −1.15733 | − | 0.0714414i | ||||
\(714\) | −6.17051 | + | 54.5765i | −0.230925 | + | 2.04248i | ||||
\(715\) | −16.8727 | − | 4.95426i | −0.631002 | − | 0.185279i | ||||
\(716\) | −4.57007 | − | 3.95999i | −0.170792 | − | 0.147992i | ||||
\(717\) | −2.86686 | − | 0.399926i | −0.107065 | − | 0.0149355i | ||||
\(718\) | 2.44896 | − | 17.0329i | 0.0913943 | − | 0.635662i | ||||
\(719\) | −1.60029 | + | 1.02845i | −0.0596808 | + | 0.0383546i | −0.570141 | − | 0.821547i | \(-0.693111\pi\) |
0.510460 | + | 0.859901i | \(0.329475\pi\) | |||||||
\(720\) | 55.1747 | + | 15.6992i | 2.05624 | + | 0.585074i | ||||
\(721\) | −1.36638 | − | 8.01659i | −0.0508865 | − | 0.298553i | ||||
\(722\) | −5.80741 | + | 0.834980i | −0.216130 | + | 0.0310747i | ||||
\(723\) | −0.0299980 | − | 7.15144i | −0.00111564 | − | 0.265965i | ||||
\(724\) | 2.16627 | + | 7.37764i | 0.0805088 | + | 0.274188i | ||||
\(725\) | 4.37529 | + | 14.9009i | 0.162494 | + | 0.553404i | ||||
\(726\) | 0.0674836 | + | 16.0879i | 0.00250455 | + | 0.597077i | ||||
\(727\) | 23.8393 | − | 3.42757i | 0.884149 | − | 0.127121i | 0.314742 | − | 0.949177i | \(-0.398082\pi\) |
0.569407 | + | 0.822056i | \(0.307173\pi\) | |||||||
\(728\) | 11.4527 | − | 1.95203i | 0.424464 | − | 0.0723472i | ||||
\(729\) | −3.16874 | + | 26.8134i | −0.117361 | + | 0.993089i | ||||
\(730\) | 8.63654 | − | 5.55037i | 0.319653 | − | 0.205428i | ||||
\(731\) | −4.02490 | + | 27.9938i | −0.148866 | + | 1.03539i | ||||
\(732\) | 14.8324 | + | 2.06912i | 0.548223 | + | 0.0764768i | ||||
\(733\) | −13.4275 | − | 11.6350i | −0.495954 | − | 0.429747i | 0.370628 | − | 0.928782i | \(-0.379143\pi\) |
−0.866582 | + | 0.499035i | \(0.833688\pi\) | |||||||
\(734\) | −6.83405 | − | 2.00666i | −0.252249 | − | 0.0740671i | ||||
\(735\) | −29.2871 | + | 37.9109i | −1.08027 | + | 1.39837i | ||||
\(736\) | −12.7060 | − | 9.31972i | −0.468350 | − | 0.343530i | ||||
\(737\) | 20.0795i | 0.739637i | ||||||||
\(738\) | −16.2993 | − | 24.9004i | −0.599984 | − | 0.916595i | ||||
\(739\) | −1.61667 | + | 1.86574i | −0.0594702 | + | 0.0686323i | −0.784705 | − | 0.619869i | \(-0.787186\pi\) |
0.725235 | + | 0.688501i | \(0.241731\pi\) | |||||||
\(740\) | 5.07453 | + | 3.26121i | 0.186544 | + | 0.119884i | ||||
\(741\) | −12.6494 | + | 3.77189i | −0.464686 | + | 0.138564i | ||||
\(742\) | −0.594493 | − | 22.8410i | −0.0218245 | − | 0.838518i | ||||
\(743\) | 30.2153 | − | 13.7989i | 1.10849 | − | 0.506231i | 0.224849 | − | 0.974394i | \(-0.427811\pi\) |
0.883643 | + | 0.468162i | \(0.155084\pi\) | |||||||
\(744\) | −10.3938 | + | 23.0142i | −0.381055 | + | 0.843742i | ||||
\(745\) | −28.8685 | + | 4.15067i | −1.05766 | + | 0.152069i | ||||
\(746\) | −15.9109 | − | 7.26625i | −0.582538 | − | 0.266036i | ||||
\(747\) | 5.04359 | − | 11.2937i | 0.184535 | − | 0.413215i | ||||
\(748\) | 2.87281 | + | 9.78389i | 0.105040 | + | 0.357734i | ||||
\(749\) | 2.79341 | − | 1.89970i | 0.102069 | − | 0.0694134i | ||||
\(750\) | 33.6953 | + | 51.9505i | 1.23038 | + | 1.89696i | ||||
\(751\) | −2.04295 | − | 2.35768i | −0.0745481 | − | 0.0860331i | 0.717250 | − | 0.696816i | \(-0.245400\pi\) |
−0.791798 | + | 0.610783i | \(0.790855\pi\) | |||||||
\(752\) | 5.29743 | + | 11.5997i | 0.193177 | + | 0.422999i | ||||
\(753\) | 16.4120 | + | 10.4504i | 0.598088 | + | 0.380832i | ||||
\(754\) | −4.54099 | − | 0.652896i | −0.165373 | − | 0.0237771i | ||||
\(755\) | 75.9546 | + | 48.8131i | 2.76427 | + | 1.77649i | ||||
\(756\) | −0.317980 | − | 8.23255i | −0.0115648 | − | 0.299415i | ||||
\(757\) | 33.4008 | + | 9.80737i | 1.21397 | + | 0.356455i | 0.825180 | − | 0.564870i | \(-0.191074\pi\) |
0.388794 | + | 0.921325i | \(0.372892\pi\) | |||||||
\(758\) | − | 29.1998i | − | 1.06058i | ||||||
\(759\) | −13.2551 | + | 13.6300i | −0.481130 | + | 0.494737i | ||||
\(760\) | −34.9717 | −1.26856 | ||||||||
\(761\) | −33.3233 | − | 9.78461i | −1.20797 | − | 0.354692i | −0.385074 | − | 0.922886i | \(-0.625824\pi\) |
−0.822895 | + | 0.568194i | \(0.807642\pi\) | |||||||
\(762\) | −1.16334 | + | 4.02436i | −0.0421435 | + | 0.145787i | ||||
\(763\) | 1.41635 | − | 0.691912i | 0.0512752 | − | 0.0250489i | ||||
\(764\) | 11.4762 | + | 1.65003i | 0.415195 | + | 0.0596961i | ||||
\(765\) | −11.8087 | + | 87.3262i | −0.426946 | + | 3.15729i | ||||
\(766\) | −50.3123 | + | 22.9769i | −1.81786 | + | 0.830187i | ||||
\(767\) | −20.9407 | + | 18.1453i | −0.756126 | + | 0.655187i | ||||
\(768\) | −19.2111 | + | 12.4604i | −0.693221 | + | 0.449626i | ||||
\(769\) | 10.5939 | + | 4.83806i | 0.382024 | + | 0.174465i | 0.597165 | − | 0.802118i | \(-0.296294\pi\) |
−0.215141 | + | 0.976583i | \(0.569021\pi\) | |||||||
\(770\) | −9.90145 | + | 37.2838i | −0.356824 | + | 1.34362i | ||||
\(771\) | 2.12397 | + | 2.43052i | 0.0764930 | + | 0.0875330i | ||||
\(772\) | 0.696570 | − | 1.52528i | 0.0250701 | − | 0.0548959i | ||||
\(773\) | 2.38754 | + | 16.6057i | 0.0858737 | + | 0.597265i | 0.986634 | + | 0.162949i | \(0.0521006\pi\) |
−0.900761 | + | 0.434316i | \(0.856990\pi\) | |||||||
\(774\) | −0.154364 | − | 18.3996i | −0.00554849 | − | 0.661360i | ||||
\(775\) | −62.3202 | + | 28.4607i | −2.23861 | + | 1.02234i | ||||
\(776\) | −7.32705 | + | 4.70881i | −0.263026 | + | 0.169037i | ||||
\(777\) | −2.94905 | + | 11.2954i | −0.105797 | + | 0.405221i | ||||
\(778\) | −35.1301 | − | 22.5767i | −1.25947 | − | 0.809415i | ||||
\(779\) | 18.2255 | + | 15.7925i | 0.652997 | + | 0.565825i | ||||
\(780\) | −7.88871 | + | 1.16802i | −0.282461 | + | 0.0418218i | ||||
\(781\) | −13.4525 | −0.481367 | ||||||||
\(782\) | 27.0542 | − | 50.7153i | 0.967458 | − | 1.81358i | ||||
\(783\) | 2.05036 | − | 7.32253i | 0.0732740 | − | 0.261686i | ||||
\(784\) | −6.55880 | − | 33.2349i | −0.234243 | − | 1.18696i | ||||
\(785\) | −46.1052 | − | 39.9504i | −1.64557 | − | 1.42589i | ||||
\(786\) | 13.6667 | + | 1.90650i | 0.487476 | + | 0.0680026i | ||||
\(787\) | −25.4439 | − | 3.65828i | −0.906977 | − | 0.130404i | −0.326988 | − | 0.945028i | \(-0.606034\pi\) |
−0.579988 | + | 0.814625i | \(0.696943\pi\) | |||||||
\(788\) | −0.0239252 | − | 0.0372284i | −0.000852301 | − | 0.00132621i | ||||
\(789\) | 0.702857 | + | 0.603886i | 0.0250224 | + | 0.0214989i | ||||
\(790\) | 61.0473 | − | 52.8978i | 2.17196 | − | 1.88202i | ||||
\(791\) | −11.3911 | + | 26.7649i | −0.405020 | + | 0.951649i | ||||
\(792\) | 6.55975 | + | 14.0507i | 0.233090 | + | 0.499269i | ||||
\(793\) | 26.9184 | − | 7.90396i | 0.955901 | − | 0.280678i | ||||
\(794\) | −44.0502 | + | 12.9343i | −1.56328 | + | 0.459021i | ||||
\(795\) | −0.153770 | − | 36.6583i | −0.00545367 | − | 1.30014i | ||||
\(796\) | −6.43963 | + | 0.925879i | −0.228247 | + | 0.0328169i | ||||
\(797\) | −18.8976 | − | 21.8090i | −0.669386 | − | 0.772513i | 0.314894 | − | 0.949127i | \(-0.398031\pi\) |
−0.984280 | + | 0.176614i | \(0.943486\pi\) | |||||||
\(798\) | 8.99360 | + | 27.5242i | 0.318370 | + | 0.974348i | ||||
\(799\) | −16.4795 | + | 10.5907i | −0.583004 | + | 0.374674i | ||||
\(800\) | −34.5129 | − | 4.96220i | −1.22021 | − | 0.175440i | ||||
\(801\) | 17.6256 | − | 5.33635i | 0.622768 | − | 0.188550i | ||||
\(802\) | 20.2440 | − | 23.3628i | 0.714840 | − | 0.824970i | ||||
\(803\) | 3.53926 | + | 1.03922i | 0.124898 | + | 0.0366733i | ||||
\(804\) | 3.81746 | + | 8.26713i | 0.134632 | + | 0.291559i | ||||
\(805\) | 43.1152 | − | 25.5855i | 1.51961 | − | 0.901771i | ||||
\(806\) | − | 20.2389i | − | 0.712885i | ||||||
\(807\) | −6.10987 | − | 41.2656i | −0.215078 | − | 1.45262i | ||||
\(808\) | −17.0874 | − | 14.8063i | −0.601134 | − | 0.520885i | ||||
\(809\) | 12.1987 | − | 18.9815i | 0.428883 | − | 0.667354i | −0.557807 | − | 0.829971i | \(-0.688357\pi\) |
0.986689 | + | 0.162616i | \(0.0519933\pi\) | |||||||
\(810\) | −0.961911 | − | 57.3241i | −0.0337981 | − | 2.01417i | ||||
\(811\) | 10.2140 | + | 15.8934i | 0.358664 | + | 0.558092i | 0.972957 | − | 0.230986i | \(-0.0741952\pi\) |
−0.614293 | + | 0.789078i | \(0.710559\pi\) | |||||||
\(812\) | −0.270346 | + | 2.30451i | −0.00948729 | + | 0.0808724i | ||||
\(813\) | −2.35367 | − | 1.06298i | −0.0825468 | − | 0.0372802i | ||||
\(814\) | 1.33784 | + | 9.30486i | 0.0468911 | + | 0.326135i | ||||
\(815\) | −31.8050 | + | 69.6432i | −1.11408 | + | 2.43950i | ||||
\(816\) | −41.0039 | − | 46.9218i | −1.43542 | − | 1.64259i | ||||
\(817\) | 4.20069 | + | 14.3062i | 0.146964 | + | 0.500512i | ||||
\(818\) | 1.86695 | − | 4.08804i | 0.0652763 | − | 0.142935i | ||||
\(819\) | −6.89055 | − | 13.8100i | −0.240775 | − | 0.482561i | ||||
\(820\) | 9.54114 | + | 11.0111i | 0.333191 | + | 0.384523i | ||||
\(821\) | 3.30448 | − | 1.50911i | 0.115327 | − | 0.0526682i | −0.356916 | − | 0.934137i | \(-0.616172\pi\) |
0.472243 | + | 0.881468i | \(0.343444\pi\) | |||||||
\(822\) | 13.0898 | + | 8.33492i | 0.456559 | + | 0.290714i | ||||
\(823\) | −5.21289 | + | 36.2565i | −0.181710 | + | 1.26382i | 0.671008 | + | 0.741450i | \(0.265862\pi\) |
−0.852718 | + | 0.522371i | \(0.825048\pi\) | |||||||
\(824\) | 5.83935 | + | 3.75272i | 0.203423 | + | 0.130732i | ||||
\(825\) | −11.6831 | + | 40.4154i | −0.406754 | + | 1.40708i | ||||
\(826\) | 40.9871 | + | 44.8865i | 1.42612 | + | 1.56180i | ||||
\(827\) | − | 2.23822i | − | 0.0778305i | −0.999243 | − | 0.0389153i | \(-0.987610\pi\) | ||
0.999243 | − | 0.0389153i | \(-0.0123902\pi\) | |||||||
\(828\) | −2.86610 | + | 8.13178i | −0.0996037 | + | 0.282599i | ||||
\(829\) | − | 31.0778i | − | 1.07938i | −0.841865 | − | 0.539689i | \(-0.818542\pi\) | ||
0.841865 | − | 0.539689i | \(-0.181458\pi\) | |||||||
\(830\) | −7.39941 | + | 25.2001i | −0.256837 | + | 0.874707i | ||||
\(831\) | −34.8770 | − | 10.0821i | −1.20987 | − | 0.349744i | ||||
\(832\) | −4.60614 | + | 7.16730i | −0.159689 | + | 0.248481i | ||||
\(833\) | 49.1005 | − | 17.2385i | 1.70123 | − | 0.597280i | ||||
\(834\) | −25.4130 | − | 16.1817i | −0.879981 | − | 0.560328i | ||||
\(835\) | −18.5261 | − | 40.5665i | −0.641122 | − | 1.40386i | ||||
\(836\) | 3.52045 | + | 4.06281i | 0.121757 | + | 0.140515i | ||||
\(837\) | 33.2624 | + | 4.35593i | 1.14972 | + | 0.150563i | ||||
\(838\) | −27.9231 | − | 12.7520i | −0.964587 | − | 0.440512i | ||||
\(839\) | 26.7655 | − | 7.85907i | 0.924049 | − | 0.271325i | 0.215106 | − | 0.976591i | \(-0.430990\pi\) |
0.708943 | + | 0.705266i | \(0.249172\pi\) | |||||||
\(840\) | −7.03940 | − | 40.2796i | −0.242882 | − | 1.38978i | ||||
\(841\) | 11.1574 | − | 24.4312i | 0.384737 | − | 0.842457i | ||||
\(842\) | 47.6641 | − | 6.85307i | 1.64262 | − | 0.236172i | ||||
\(843\) | 3.73946 | + | 1.68883i | 0.128794 | + | 0.0581665i | ||||
\(844\) | 3.64041 | + | 7.97138i | 0.125308 | + | 0.274386i | ||||
\(845\) | 30.6440 | − | 19.6937i | 1.05419 | − | 0.677484i | ||||
\(846\) | 9.56161 | − | 8.42666i | 0.328735 | − | 0.289714i | ||||
\(847\) | 13.6959 | − | 6.69070i | 0.470597 | − | 0.229895i | ||||
\(848\) | 19.5910 | + | 16.9757i | 0.672759 | + | 0.582949i | ||||
\(849\) | −16.8577 | + | 2.49598i | −0.578553 | + | 0.0856619i | ||||
\(850\) | − | 127.190i | − | 4.36259i | ||||||
\(851\) | 7.22588 | − | 9.85138i | 0.247700 | − | 0.337701i | ||||
\(852\) | −5.53865 | + | 2.55755i | −0.189751 | + | 0.0876202i | ||||
\(853\) | −11.6871 | + | 39.8025i | −0.400158 | + | 1.36281i | 0.475430 | + | 0.879754i | \(0.342293\pi\) |
−0.875588 | + | 0.483059i | \(0.839526\pi\) | |||||||
\(854\) | −18.8695 | − | 58.5799i | −0.645701 | − | 2.00456i | ||||
\(855\) | 13.4622 | + | 44.4646i | 0.460397 | + | 1.52066i | ||||
\(856\) | −0.410355 | + | 2.85408i | −0.0140257 | + | 0.0975506i | ||||
\(857\) | 23.8331 | − | 15.3166i | 0.814123 | − | 0.523205i | −0.0660737 | − | 0.997815i | \(-0.521047\pi\) |
0.880196 | + | 0.474610i | \(0.157411\pi\) | |||||||
\(858\) | −9.42645 | − | 8.09909i | −0.321814 | − | 0.276498i | ||||
\(859\) | 2.79686 | − | 2.42349i | 0.0954275 | − | 0.0826884i | −0.605841 | − | 0.795586i | \(-0.707163\pi\) |
0.701268 | + | 0.712898i | \(0.252618\pi\) | |||||||
\(860\) | 1.28199 | + | 8.91641i | 0.0437154 | + | 0.304047i | ||||
\(861\) | −14.5209 | + | 24.1706i | −0.494870 | + | 0.823732i | ||||
\(862\) | −16.9217 | + | 4.96867i | −0.576357 | + | 0.169234i | ||||
\(863\) | −4.42496 | − | 15.0700i | −0.150627 | − | 0.512990i | 0.849260 | − | 0.527974i | \(-0.177048\pi\) |
−0.999888 | + | 0.0149846i | \(0.995230\pi\) | |||||||
\(864\) | 13.0425 | + | 11.0171i | 0.443714 | + | 0.374809i | ||||
\(865\) | 0.441063 | + | 3.06766i | 0.0149966 | + | 0.104304i | ||||
\(866\) | 38.8582 | + | 44.8447i | 1.32046 | + | 1.52389i | ||||
\(867\) | 43.1926 | − | 50.2715i | 1.46690 | − | 1.70731i | ||||
\(868\) | −10.2328 | + | 0.266333i | −0.347322 | + | 0.00903992i | ||||
\(869\) | 28.7279 | + | 4.13044i | 0.974526 | + | 0.140116i | ||||
\(870\) | −2.23087 | + | 15.9920i | −0.0756336 | + | 0.542179i | ||||
\(871\) | 12.8918 | + | 11.1708i | 0.436822 | + | 0.378508i | ||||
\(872\) | −0.379062 | + | 1.29097i | −0.0128367 | + | 0.0437177i | ||||
\(873\) | 8.80752 | + | 7.50332i | 0.298089 | + | 0.253949i | ||||
\(874\) | 1.86709 | − | 30.2463i | 0.0631552 | − | 1.02310i | ||||
\(875\) | 30.4234 | − | 50.1632i | 1.02850 | − | 1.69582i | ||||
\(876\) | 1.65476 | − | 0.245008i | 0.0559092 | − | 0.00827804i | ||||
\(877\) | 4.18196 | − | 4.82624i | 0.141215 | − | 0.162970i | −0.680737 | − | 0.732528i | \(-0.738340\pi\) |
0.821951 | + | 0.569558i | \(0.192886\pi\) | |||||||
\(878\) | −6.83938 | − | 4.39540i | −0.230818 | − | 0.148338i | ||||
\(879\) | 18.5475 | − | 5.53065i | 0.625591 | − | 0.186544i | ||||
\(880\) | −23.6617 | − | 36.8184i | −0.797637 | − | 1.24115i | ||||
\(881\) | −23.6193 | − | 51.7191i | −0.795755 | − | 1.74246i | −0.659390 | − | 0.751801i | \(-0.729185\pi\) |
−0.136365 | − | 0.990659i | \(-0.543542\pi\) | |||||||
\(882\) | −29.8915 | + | 15.8990i | −1.00650 | + | 0.535346i | ||||
\(883\) | −4.06965 | − | 28.3050i | −0.136955 | − | 0.952541i | −0.936183 | − | 0.351513i | \(-0.885667\pi\) |
0.799228 | − | 0.601028i | \(-0.205242\pi\) | |||||||
\(884\) | 7.87986 | + | 3.59861i | 0.265028 | + | 0.121034i | ||||
\(885\) | 64.1726 | + | 73.4345i | 2.15714 | + | 2.46847i | ||||
\(886\) | −1.40183 | + | 0.411614i | −0.0470953 | + | 0.0138284i | ||||
\(887\) | 7.05187 | − | 15.4414i | 0.236779 | − | 0.518473i | −0.753521 | − | 0.657424i | \(-0.771646\pi\) |
0.990299 | + | 0.138951i | \(0.0443732\pi\) | |||||||
\(888\) | −5.42228 | − | 8.35992i | −0.181960 | − | 0.280541i | ||||
\(889\) | 3.91262 | − | 0.666881i | 0.131225 | − | 0.0223665i | ||||
\(890\) | −35.5704 | + | 16.2444i | −1.19232 | + | 0.544515i | ||||
\(891\) | 15.3395 | − | 13.7491i | 0.513894 | − | 0.460612i | ||||
\(892\) | 4.26756 | + | 0.613582i | 0.142888 | + | 0.0205443i | ||||
\(893\) | −5.58349 | + | 8.68808i | −0.186844 | + | 0.290736i | ||||
\(894\) | −19.8015 | − | 5.72413i | −0.662260 | − | 0.191443i | ||||
\(895\) | −11.2327 | + | 38.2552i | −0.375469 | + | 1.27873i | ||||
\(896\) | 30.8463 | + | 18.7079i | 1.03050 | + | 0.624988i | ||||
\(897\) | 1.37677 | + | 16.0930i | 0.0459691 | + | 0.537331i | ||||
\(898\) | −31.8887 | −1.06414 | ||||||||
\(899\) | −9.06516 | − | 2.66177i | −0.302340 | − | 0.0887751i | ||||
\(900\) | 2.87351 | + | 18.8610i | 0.0957835 | + | 0.628701i | ||||
\(901\) | −21.5290 | + | 33.4997i | −0.717234 | + | 1.11604i | ||||
\(902\) | −3.23136 | + | 22.4746i | −0.107592 | + | 0.748322i | ||||
\(903\) | −15.6321 | + | 7.71795i | −0.520203 | + | 0.256837i | ||||
\(904\) | −10.3140 | − | 22.5845i | −0.343038 | − | 0.751149i | ||||
\(905\) | 38.3139 | − | 33.1992i | 1.27360 | − | 1.10358i | ||||
\(906\) | 34.7228 | + | 53.5346i | 1.15359 | + | 1.77857i | ||||
\(907\) | −4.52283 | + | 9.90362i | −0.150178 | + | 0.328844i | −0.969737 | − | 0.244150i | \(-0.921491\pi\) |
0.819559 | + | 0.572994i | \(0.194218\pi\) | |||||||
\(908\) | 3.77363 | − | 1.10804i | 0.125232 | − | 0.0367715i | ||||
\(909\) | −12.2477 | + | 27.4254i | −0.406232 | + | 0.909642i | ||||
\(910\) | 18.4292 | + | 27.0992i | 0.610922 | + | 0.898330i | ||||
\(911\) | 45.7113 | − | 6.57229i | 1.51448 | − | 0.217750i | 0.665591 | − | 0.746317i | \(-0.268179\pi\) |
0.848892 | + | 0.528567i | \(0.177270\pi\) | |||||||
\(912\) | −29.9402 | − | 13.5217i | −0.991419 | − | 0.447750i | ||||
\(913\) | −8.58388 | + | 3.92013i | −0.284085 | + | 0.129737i | ||||
\(914\) | −28.3558 | − | 44.1225i | −0.937927 | − | 1.45944i | ||||
\(915\) | −28.2159 | − | 94.6245i | −0.932790 | − | 3.12819i | ||||
\(916\) | −2.96061 | + | 4.60681i | −0.0978214 | + | 0.152213i | ||||
\(917\) | −4.00854 | − | 12.4444i | −0.132374 | − | 0.410951i | ||||
\(918\) | −33.0082 | + | 52.8114i | −1.08943 | + | 1.74303i | ||||
\(919\) | −50.2381 | −1.65720 | −0.828601 | − | 0.559840i | \(-0.810863\pi\) | ||||
−0.828601 | + | 0.559840i | \(0.810863\pi\) | |||||||
\(920\) | −8.68824 | + | 41.9017i | −0.286443 | + | 1.38146i | ||||
\(921\) | 9.41960 | − | 4.34963i | 0.310386 | − | 0.143325i | ||||
\(922\) | 2.75605 | − | 9.38623i | 0.0907655 | − | 0.309119i | ||||
\(923\) | −7.48400 | + | 8.63699i | −0.246339 | + | 0.284290i | ||||
\(924\) | −3.97084 | + | 4.87258i | −0.130631 | + | 0.160296i | ||||
\(925\) | 3.84735 | − | 26.7589i | 0.126500 | − | 0.879828i | ||||
\(926\) | 29.5233 | + | 45.9392i | 0.970196 | + | 1.50966i | ||||
\(927\) | 2.52355 | − | 8.86901i | 0.0828844 | − | 0.291297i | ||||
\(928\) | −3.14879 | − | 3.63390i | −0.103364 | − | 0.119289i | ||||
\(929\) | −5.43248 | − | 37.7838i | −0.178234 | − | 1.23964i | −0.860847 | − | 0.508865i | \(-0.830065\pi\) |
0.682613 | − | 0.730780i | \(-0.260844\pi\) | |||||||
\(930\) | −71.2322 | + | 0.298797i | −2.33580 | + | 0.00979793i | ||||
\(931\) | 19.7714 | − | 19.0204i | 0.647980 | − | 0.623368i | ||||
\(932\) | 3.32392 | + | 11.3202i | 0.108878 | + | 0.370806i | ||||
\(933\) | 2.37288 | − | 0.00995346i | 0.0776845 | − | 0.000325862i | ||||
\(934\) | −7.28650 | + | 1.04764i | −0.238422 | + | 0.0342798i | ||||
\(935\) | 50.8102 | − | 44.0273i | 1.66167 | − | 1.43985i | ||||
\(936\) | 12.6705 | + | 3.60520i | 0.414147 | + | 0.117840i | ||||
\(937\) | 31.5027 | + | 49.0191i | 1.02915 | + | 1.60138i | 0.772643 | + | 0.634841i | \(0.218935\pi\) |
0.256505 | + | 0.966543i | \(0.417429\pi\) | |||||||
\(938\) | 23.7613 | − | 28.9088i | 0.775834 | − | 0.943906i | ||||
\(939\) | 3.18368 | + | 0.444121i | 0.103895 | + | 0.0144933i | ||||
\(940\) | −4.08597 | + | 4.71546i | −0.133270 | + | 0.153801i | ||||
\(941\) | −42.6511 | − | 12.5235i | −1.39039 | − | 0.408255i | −0.501015 | − | 0.865439i | \(-0.667040\pi\) |
−0.889372 | + | 0.457184i | \(0.848858\pi\) | |||||||
\(942\) | −18.0750 | − | 39.1434i | −0.588915 | − | 1.27536i | ||||
\(943\) | 23.4499 | − | 17.9137i | 0.763632 | − | 0.583350i | ||||
\(944\) | −68.9620 | −2.24452 | ||||||||
\(945\) | −48.5036 | + | 24.4557i | −1.57782 | + | 0.795543i | ||||
\(946\) | −9.19318 | + | 10.6095i | −0.298896 | + | 0.344944i | ||||
\(947\) | −9.28510 | + | 14.4479i | −0.301725 | + | 0.469493i | −0.958700 | − | 0.284419i | \(-0.908199\pi\) |
0.656975 | + | 0.753912i | \(0.271836\pi\) | |||||||
\(948\) | 12.6131 | − | 3.76109i | 0.409655 | − | 0.122154i | ||||
\(949\) | 2.63621 | − | 1.69419i | 0.0855751 | − | 0.0549958i | ||||
\(950\) | −27.8558 | − | 60.9957i | −0.903761 | − | 1.97896i | ||||
\(951\) | 15.0973 | + | 6.81831i | 0.489563 | + | 0.221099i | ||||
\(952\) | −17.3943 | + | 40.8702i | −0.563752 | + | 1.32461i | ||||
\(953\) | −17.3080 | − | 7.90430i | −0.560661 | − | 0.256045i | 0.114865 | − | 0.993381i | \(-0.463356\pi\) |
−0.675526 | + | 0.737336i | \(0.736084\pi\) | |||||||
\(954\) | 10.5645 | − | 23.6562i | 0.342038 | − | 0.765897i | ||||
\(955\) | −21.5368 | − | 73.3478i | −0.696916 | − | 2.37348i | ||||
\(956\) | 0.911012 | + | 0.416045i | 0.0294642 | + | 0.0134559i | ||||
\(957\) | −4.86739 | + | 3.15701i | −0.157340 | + | 0.102052i | ||||
\(958\) | −29.9814 | + | 25.9790i | −0.968655 | + | 0.839344i | ||||
\(959\) | 1.71308 | − | 14.6028i | 0.0553181 | − | 0.471547i | ||||
\(960\) | 25.2938 | + | 16.1058i | 0.816354 | + | 0.519813i | ||||
\(961\) | 1.51991 | − | 10.5712i | 0.0490294 | − | 0.341007i | ||||
\(962\) | 6.71835 | + | 4.31762i | 0.216608 | + | 0.139206i | ||||
\(963\) | 3.78678 | − | 0.576922i | 0.122027 | − | 0.0185910i | ||||
\(964\) | −0.697109 | + | 2.37414i | −0.0224524 | + | 0.0764658i | ||||
\(965\) | −11.0557 | −0.355895 | ||||||||
\(966\) | 35.2128 | − | 3.93776i | 1.13295 | − | 0.126695i | ||||
\(967\) | −0.336156 | −0.0108100 | −0.00540502 | − | 0.999985i | \(-0.501720\pi\) | ||||
−0.00540502 | + | 0.999985i | \(0.501720\pi\) | |||||||
\(968\) | −3.66549 | + | 12.4835i | −0.117813 | + | 0.401235i | ||||
\(969\) | 14.0146 | − | 48.4807i | 0.450214 | − | 1.55743i | ||||
\(970\) | −20.6684 | − | 13.2828i | −0.663622 | − | 0.426484i | ||||
\(971\) | −2.50655 | + | 17.4335i | −0.0804391 | + | 0.559467i | 0.909252 | + | 0.416247i | \(0.136655\pi\) |
−0.989691 | + | 0.143220i | \(0.954254\pi\) | |||||||
\(972\) | 3.70166 | − | 8.57711i | 0.118731 | − | 0.275111i | ||||
\(973\) | −3.32583 | + | 28.3503i | −0.106621 | + | 0.908870i | ||||
\(974\) | −21.6873 | + | 18.7922i | −0.694906 | + | 0.602139i | ||||
\(975\) | 19.4486 | + | 29.9853i | 0.622853 | + | 0.960297i | ||||
\(976\) | 63.5140 | + | 29.0059i | 2.03303 | + | 0.928455i | ||||
\(977\) | −5.73157 | − | 19.5199i | −0.183369 | − | 0.624498i | −0.998948 | − | 0.0458526i | \(-0.985400\pi\) |
0.815579 | − | 0.578646i | \(-0.196419\pi\) | |||||||
\(978\) | −40.7439 | + | 35.6051i | −1.30285 | + | 1.13853i | ||||
\(979\) | −12.7805 | − | 5.83664i | −0.408465 | − | 0.186540i | ||||
\(980\) | 13.4588 | − | 9.67438i | 0.429925 | − | 0.309037i | ||||
\(981\) | 1.78731 | − | 0.0149947i | 0.0570645 | − | 0.000478744i | ||||
\(982\) | −10.1428 | − | 22.2097i | −0.323671 | − | 0.708741i | ||||
\(983\) | −31.5001 | + | 20.2439i | −1.00470 | + | 0.645680i | −0.936015 | − | 0.351959i | \(-0.885516\pi\) |
−0.0686819 | + | 0.997639i | \(0.521879\pi\) | |||||||
\(984\) | −6.87745 | − | 23.0641i | −0.219245 | − | 0.735256i | ||||
\(985\) | −0.157746 | + | 0.245458i | −0.00502621 | + | 0.00782094i | ||||
\(986\) | 11.4861 | − | 13.2557i | 0.365793 | − | 0.422148i | ||||
\(987\) | −11.1306 | − | 4.68214i | −0.354292 | − | 0.149034i | ||||
\(988\) | 4.56701 | 0.145296 | ||||||||
\(989\) | 18.1848 | − | 1.47891i | 0.578243 | − | 0.0470268i | ||||
\(990\) | −28.3661 | + | 33.2966i | −0.901535 | + | 1.05824i | ||||
\(991\) | −14.6390 | − | 4.29841i | −0.465025 | − | 0.136544i | 0.0408230 | − | 0.999166i | \(-0.487002\pi\) |
−0.505848 | + | 0.862623i | \(0.668820\pi\) | |||||||
\(992\) | 13.8911 | − | 16.0312i | 0.441043 | − | 0.508991i | ||||
\(993\) | 1.01110 | − | 7.24803i | 0.0320862 | − | 0.230009i | ||||
\(994\) | 19.3678 | + | 15.9191i | 0.614308 | + | 0.504924i | ||||
\(995\) | 23.1908 | + | 36.0856i | 0.735198 | + | 1.14399i | ||||
\(996\) | −2.78887 | + | 3.24594i | −0.0883689 | + | 0.102852i | ||||
\(997\) | −40.8953 | + | 35.4360i | −1.29517 | + | 1.12227i | −0.309988 | + | 0.950741i | \(0.600325\pi\) |
−0.985179 | + | 0.171528i | \(0.945130\pi\) | |||||||
\(998\) | 36.0199 | − | 5.17889i | 1.14019 | − | 0.163935i | ||||
\(999\) | −8.54191 | + | 10.1123i | −0.270254 | + | 0.319937i |
(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 | 483.2.v.a.41.18 | yes | 600 | |
3.2 | odd | 2 | inner | 483.2.v.a.41.44 | yes | 600 | |
7.6 | odd | 2 | inner | 483.2.v.a.41.17 | ✓ | 600 | |
21.20 | even | 2 | inner | 483.2.v.a.41.43 | yes | 600 | |
23.9 | even | 11 | inner | 483.2.v.a.377.43 | yes | 600 | |
69.32 | odd | 22 | inner | 483.2.v.a.377.17 | yes | 600 | |
161.55 | odd | 22 | inner | 483.2.v.a.377.44 | yes | 600 | |
483.377 | even | 22 | inner | 483.2.v.a.377.18 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.v.a.41.17 | ✓ | 600 | 7.6 | odd | 2 | inner | |
483.2.v.a.41.18 | yes | 600 | 1.1 | even | 1 | trivial | |
483.2.v.a.41.43 | yes | 600 | 21.20 | even | 2 | inner | |
483.2.v.a.41.44 | yes | 600 | 3.2 | odd | 2 | inner | |
483.2.v.a.377.17 | yes | 600 | 69.32 | odd | 22 | inner | |
483.2.v.a.377.18 | yes | 600 | 483.377 | even | 22 | inner | |
483.2.v.a.377.43 | yes | 600 | 23.9 | even | 11 | inner | |
483.2.v.a.377.44 | yes | 600 | 161.55 | odd | 22 | inner |