Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(57,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 57.4 | ||
Character | \(\chi\) | \(=\) | 287.57 |
Dual form | 287.2.h.c.141.4 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.279797 | + | 0.861126i | −0.197846 | + | 0.608908i | 0.802085 | + | 0.597209i | \(0.203724\pi\) |
−0.999932 | + | 0.0116986i | \(0.996276\pi\) | |||||||
\(3\) | 2.59818 | 1.50006 | 0.750029 | − | 0.661404i | \(-0.230039\pi\) | ||||
0.750029 | + | 0.661404i | \(0.230039\pi\) | |||||||
\(4\) | 0.954783 | + | 0.693690i | 0.477391 | + | 0.346845i | ||||
\(5\) | −1.43627 | − | 1.04351i | −0.642318 | − | 0.466671i | 0.218328 | − | 0.975876i | \(-0.429940\pi\) |
−0.860646 | + | 0.509204i | \(0.829940\pi\) | |||||||
\(6\) | −0.726962 | + | 2.23736i | −0.296781 | + | 0.913398i | ||||
\(7\) | 0.309017 | + | 0.951057i | 0.116797 | + | 0.359466i | ||||
\(8\) | −2.32953 | + | 1.69251i | −0.823615 | + | 0.598391i | ||||
\(9\) | 3.75053 | 1.25018 | ||||||||
\(10\) | 1.30046 | − | 0.944836i | 0.411240 | − | 0.298783i | ||||
\(11\) | 0.466493 | − | 0.338927i | 0.140653 | − | 0.102190i | −0.515234 | − | 0.857050i | \(-0.672295\pi\) |
0.655887 | + | 0.754859i | \(0.272295\pi\) | |||||||
\(12\) | 2.48069 | + | 1.80233i | 0.716115 | + | 0.520288i | ||||
\(13\) | −1.21418 | + | 3.73686i | −0.336753 | + | 1.03642i | 0.629099 | + | 0.777325i | \(0.283424\pi\) |
−0.965852 | + | 0.259094i | \(0.916576\pi\) | |||||||
\(14\) | −0.905441 | −0.241989 | ||||||||
\(15\) | −3.73168 | − | 2.71122i | −0.963515 | − | 0.700035i | ||||
\(16\) | −0.0762754 | − | 0.234751i | −0.0190688 | − | 0.0586878i | ||||
\(17\) | 4.18832 | − | 3.04299i | 1.01582 | − | 0.738034i | 0.0503959 | − | 0.998729i | \(-0.483952\pi\) |
0.965421 | + | 0.260695i | \(0.0839517\pi\) | |||||||
\(18\) | −1.04939 | + | 3.22968i | −0.247343 | + | 0.761242i | ||||
\(19\) | −0.0189501 | − | 0.0583223i | −0.00434744 | − | 0.0133800i | 0.948859 | − | 0.315699i | \(-0.102239\pi\) |
−0.953207 | + | 0.302319i | \(0.902239\pi\) | |||||||
\(20\) | −0.647451 | − | 1.99265i | −0.144774 | − | 0.445570i | ||||
\(21\) | 0.802881 | + | 2.47101i | 0.175203 | + | 0.539220i | ||||
\(22\) | 0.161336 | + | 0.496540i | 0.0343968 | + | 0.105863i | ||||
\(23\) | 2.63719 | − | 8.11643i | 0.549892 | − | 1.69239i | −0.159174 | − | 0.987251i | \(-0.550883\pi\) |
0.709066 | − | 0.705142i | \(-0.249117\pi\) | |||||||
\(24\) | −6.05254 | + | 4.39743i | −1.23547 | + | 0.897622i | ||||
\(25\) | −0.571133 | − | 1.75777i | −0.114227 | − | 0.351554i | ||||
\(26\) | −2.87818 | − | 2.09112i | −0.564458 | − | 0.410103i | ||||
\(27\) | 1.95001 | 0.375279 | ||||||||
\(28\) | −0.364694 | + | 1.12241i | −0.0689208 | + | 0.212116i | ||||
\(29\) | −4.38882 | − | 3.18867i | −0.814984 | − | 0.592120i | 0.100288 | − | 0.994958i | \(-0.468024\pi\) |
−0.915271 | + | 0.402838i | \(0.868024\pi\) | |||||||
\(30\) | 3.37881 | − | 2.45485i | 0.616884 | − | 0.448193i | ||||
\(31\) | −1.55162 | + | 1.12732i | −0.278679 | + | 0.202472i | −0.718341 | − | 0.695691i | \(-0.755098\pi\) |
0.439662 | + | 0.898163i | \(0.355098\pi\) | |||||||
\(32\) | −5.53543 | −0.978536 | ||||||||
\(33\) | 1.21203 | − | 0.880592i | 0.210988 | − | 0.153291i | ||||
\(34\) | 1.44852 | + | 4.45809i | 0.248419 | + | 0.764556i | ||||
\(35\) | 0.548605 | − | 1.68843i | 0.0927312 | − | 0.285397i | ||||
\(36\) | 3.58094 | + | 2.60171i | 0.596823 | + | 0.433618i | ||||
\(37\) | −2.61722 | − | 1.90152i | −0.430268 | − | 0.312608i | 0.351488 | − | 0.936192i | \(-0.385676\pi\) |
−0.781756 | + | 0.623584i | \(0.785676\pi\) | |||||||
\(38\) | 0.0555250 | 0.00900734 | ||||||||
\(39\) | −3.15466 | + | 9.70903i | −0.505149 | + | 1.55469i | ||||
\(40\) | 5.11198 | 0.808275 | ||||||||
\(41\) | 6.36431 | + | 0.703919i | 0.993939 | + | 0.109934i | ||||
\(42\) | −2.35250 | −0.362998 | ||||||||
\(43\) | −1.94808 | + | 5.99557i | −0.297079 | + | 0.914317i | 0.685436 | + | 0.728133i | \(0.259612\pi\) |
−0.982515 | + | 0.186183i | \(0.940388\pi\) | |||||||
\(44\) | 0.680509 | 0.102591 | ||||||||
\(45\) | −5.38676 | − | 3.91371i | −0.803011 | − | 0.583422i | ||||
\(46\) | 6.25139 | + | 4.54190i | 0.921717 | + | 0.669667i | ||||
\(47\) | −2.69233 | + | 8.28614i | −0.392717 | + | 1.20866i | 0.538009 | + | 0.842939i | \(0.319177\pi\) |
−0.930726 | + | 0.365718i | \(0.880823\pi\) | |||||||
\(48\) | −0.198177 | − | 0.609926i | −0.0286044 | − | 0.0880352i | ||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | 1.67346 | 0.236663 | ||||||||
\(51\) | 10.8820 | − | 7.90624i | 1.52379 | − | 1.10709i | ||||
\(52\) | −3.75150 | + | 2.72562i | −0.520240 | + | 0.377976i | ||||
\(53\) | −8.25797 | − | 5.99976i | −1.13432 | − | 0.824131i | −0.148001 | − | 0.988987i | \(-0.547284\pi\) |
−0.986318 | + | 0.164856i | \(0.947284\pi\) | |||||||
\(54\) | −0.545606 | + | 1.67920i | −0.0742476 | + | 0.228511i | ||||
\(55\) | −1.02368 | −0.138033 | ||||||||
\(56\) | −2.32953 | − | 1.69251i | −0.311297 | − | 0.226171i | ||||
\(57\) | −0.0492356 | − | 0.151532i | −0.00652142 | − | 0.0200709i | ||||
\(58\) | 3.97382 | − | 2.88715i | 0.521788 | − | 0.379101i | ||||
\(59\) | 0.848609 | − | 2.61175i | 0.110480 | − | 0.340021i | −0.880498 | − | 0.474050i | \(-0.842792\pi\) |
0.990977 | + | 0.134029i | \(0.0427916\pi\) | |||||||
\(60\) | −1.68219 | − | 5.17726i | −0.217170 | − | 0.668381i | ||||
\(61\) | −1.57426 | − | 4.84506i | −0.201563 | − | 0.620346i | −0.999837 | − | 0.0180522i | \(-0.994253\pi\) |
0.798274 | − | 0.602294i | \(-0.205747\pi\) | |||||||
\(62\) | −0.536623 | − | 1.65156i | −0.0681512 | − | 0.209748i | ||||
\(63\) | 1.15898 | + | 3.56697i | 0.146017 | + | 0.449395i | ||||
\(64\) | 1.70135 | − | 5.23621i | 0.212668 | − | 0.654526i | ||||
\(65\) | 5.64333 | − | 4.10012i | 0.699969 | − | 0.508558i | ||||
\(66\) | 0.419178 | + | 1.29010i | 0.0515973 | + | 0.158800i | ||||
\(67\) | −8.74883 | − | 6.35639i | −1.06884 | − | 0.776557i | −0.0931359 | − | 0.995653i | \(-0.529689\pi\) |
−0.975703 | + | 0.219096i | \(0.929689\pi\) | |||||||
\(68\) | 6.10983 | 0.740926 | ||||||||
\(69\) | 6.85188 | − | 21.0879i | 0.824870 | − | 2.53869i | ||||
\(70\) | 1.30046 | + | 0.944836i | 0.155434 | + | 0.112930i | ||||
\(71\) | −7.28093 | + | 5.28990i | −0.864087 | + | 0.627796i | −0.928994 | − | 0.370095i | \(-0.879325\pi\) |
0.0649065 | + | 0.997891i | \(0.479325\pi\) | |||||||
\(72\) | −8.73699 | + | 6.34779i | −1.02966 | + | 0.748094i | ||||
\(73\) | 5.24158 | 0.613481 | 0.306740 | − | 0.951793i | \(-0.400762\pi\) | ||||
0.306740 | + | 0.951793i | \(0.400762\pi\) | |||||||
\(74\) | 2.36974 | − | 1.72172i | 0.275477 | − | 0.200145i | ||||
\(75\) | −1.48391 | − | 4.56699i | −0.171347 | − | 0.527351i | ||||
\(76\) | 0.0223644 | − | 0.0688306i | 0.00256537 | − | 0.00789541i | ||||
\(77\) | 0.466493 | + | 0.338927i | 0.0531618 | + | 0.0386243i | ||||
\(78\) | −7.47803 | − | 5.43311i | −0.846721 | − | 0.615179i | ||||
\(79\) | 12.5277 | 1.40948 | 0.704740 | − | 0.709466i | \(-0.251064\pi\) | ||||
0.704740 | + | 0.709466i | \(0.251064\pi\) | |||||||
\(80\) | −0.135413 | + | 0.416760i | −0.0151397 | + | 0.0465951i | ||||
\(81\) | −6.18512 | −0.687235 | ||||||||
\(82\) | −2.38688 | + | 5.28352i | −0.263587 | + | 0.583467i | ||||
\(83\) | 3.41972 | 0.375363 | 0.187682 | − | 0.982230i | \(-0.439903\pi\) | ||||
0.187682 | + | 0.982230i | \(0.439903\pi\) | |||||||
\(84\) | −0.947541 | + | 2.91623i | −0.103385 | + | 0.318187i | ||||
\(85\) | −9.19094 | −0.996897 | ||||||||
\(86\) | −4.61788 | − | 3.35508i | −0.497959 | − | 0.361788i | ||||
\(87\) | −11.4029 | − | 8.28472i | −1.22252 | − | 0.888215i | ||||
\(88\) | −0.513075 | + | 1.57908i | −0.0546940 | + | 0.168331i | ||||
\(89\) | 2.37950 | + | 7.32335i | 0.252226 | + | 0.776273i | 0.994363 | + | 0.106025i | \(0.0338123\pi\) |
−0.742137 | + | 0.670248i | \(0.766188\pi\) | |||||||
\(90\) | 4.87740 | − | 3.54364i | 0.514123 | − | 0.373532i | ||||
\(91\) | −3.92917 | −0.411889 | ||||||||
\(92\) | 8.14823 | − | 5.92003i | 0.849512 | − | 0.617206i | ||||
\(93\) | −4.03138 | + | 2.92897i | −0.418034 | + | 0.303720i | ||||
\(94\) | −6.38210 | − | 4.63687i | −0.658264 | − | 0.478256i | ||||
\(95\) | −0.0336425 | + | 0.103541i | −0.00345165 | + | 0.0106231i | ||||
\(96\) | −14.3820 | −1.46786 | ||||||||
\(97\) | −1.29344 | − | 0.939736i | −0.131328 | − | 0.0954157i | 0.520182 | − | 0.854056i | \(-0.325864\pi\) |
−0.651510 | + | 0.758640i | \(0.725864\pi\) | |||||||
\(98\) | −0.279797 | − | 0.861126i | −0.0282637 | − | 0.0869868i | ||||
\(99\) | 1.74959 | − | 1.27116i | 0.175841 | − | 0.127756i | ||||
\(100\) | 0.674038 | − | 2.07448i | 0.0674038 | − | 0.207448i | ||||
\(101\) | 2.32146 | + | 7.14472i | 0.230994 | + | 0.710926i | 0.997628 | + | 0.0688416i | \(0.0219303\pi\) |
−0.766634 | + | 0.642085i | \(0.778070\pi\) | |||||||
\(102\) | 3.76352 | + | 11.5829i | 0.372644 | + | 1.14688i | ||||
\(103\) | 1.88451 | + | 5.79993i | 0.185686 | + | 0.571484i | 0.999960 | − | 0.00899810i | \(-0.00286422\pi\) |
−0.814273 | + | 0.580482i | \(0.802864\pi\) | |||||||
\(104\) | −3.49619 | − | 10.7602i | −0.342829 | − | 1.05512i | ||||
\(105\) | 1.42537 | − | 4.38685i | 0.139102 | − | 0.428113i | ||||
\(106\) | 7.47710 | − | 5.43243i | 0.726241 | − | 0.527645i | ||||
\(107\) | 1.64798 | + | 5.07197i | 0.159316 | + | 0.490326i | 0.998573 | − | 0.0534106i | \(-0.0170092\pi\) |
−0.839256 | + | 0.543736i | \(0.817009\pi\) | |||||||
\(108\) | 1.86183 | + | 1.35270i | 0.179155 | + | 0.130164i | ||||
\(109\) | 17.6401 | 1.68962 | 0.844808 | − | 0.535070i | \(-0.179715\pi\) | ||||
0.844808 | + | 0.535070i | \(0.179715\pi\) | |||||||
\(110\) | 0.286423 | − | 0.881519i | 0.0273093 | − | 0.0840495i | ||||
\(111\) | −6.80001 | − | 4.94049i | −0.645428 | − | 0.468931i | ||||
\(112\) | 0.199691 | − | 0.145084i | 0.0188691 | − | 0.0137092i | ||||
\(113\) | 15.1953 | − | 11.0400i | 1.42946 | − | 1.03856i | 0.439337 | − | 0.898322i | \(-0.355213\pi\) |
0.990118 | − | 0.140238i | \(-0.0447867\pi\) | |||||||
\(114\) | 0.144264 | 0.0135115 | ||||||||
\(115\) | −12.2573 | + | 8.90543i | −1.14300 | + | 0.830436i | ||||
\(116\) | −1.97842 | − | 6.08896i | −0.183692 | − | 0.565346i | ||||
\(117\) | −4.55382 | + | 14.0152i | −0.421000 | + | 1.29571i | ||||
\(118\) | 2.01161 | + | 1.46152i | 0.185183 | + | 0.134544i | ||||
\(119\) | 4.18832 | + | 3.04299i | 0.383943 | + | 0.278951i | ||||
\(120\) | 13.2818 | 1.21246 | ||||||||
\(121\) | −3.29644 | + | 10.1454i | −0.299677 | + | 0.922310i | ||||
\(122\) | 4.61268 | 0.417612 | ||||||||
\(123\) | 16.5356 | + | 1.82891i | 1.49097 | + | 0.164907i | ||||
\(124\) | −2.26346 | −0.203265 | ||||||||
\(125\) | −3.75697 | + | 11.5628i | −0.336034 | + | 1.03421i | ||||
\(126\) | −3.39588 | −0.302529 | ||||||||
\(127\) | 3.83681 | + | 2.78760i | 0.340462 | + | 0.247360i | 0.744857 | − | 0.667225i | \(-0.232518\pi\) |
−0.404395 | + | 0.914584i | \(0.632518\pi\) | |||||||
\(128\) | −4.92352 | − | 3.57714i | −0.435182 | − | 0.316178i | ||||
\(129\) | −5.06146 | + | 15.5776i | −0.445637 | + | 1.37153i | ||||
\(130\) | 1.95173 | + | 6.00682i | 0.171178 | + | 0.526833i | ||||
\(131\) | −1.81991 | + | 1.32224i | −0.159006 | + | 0.115525i | −0.664443 | − | 0.747339i | \(-0.731331\pi\) |
0.505437 | + | 0.862863i | \(0.331331\pi\) | |||||||
\(132\) | 1.76808 | 0.153892 | ||||||||
\(133\) | 0.0496119 | − | 0.0360452i | 0.00430190 | − | 0.00312551i | ||||
\(134\) | 7.92155 | − | 5.75534i | 0.684317 | − | 0.497186i | ||||
\(135\) | −2.80073 | − | 2.03485i | −0.241049 | − | 0.175132i | ||||
\(136\) | −4.60655 | + | 14.1775i | −0.395009 | + | 1.21571i | ||||
\(137\) | −11.7757 | −1.00607 | −0.503033 | − | 0.864267i | \(-0.667782\pi\) | ||||
−0.503033 | + | 0.864267i | \(0.667782\pi\) | |||||||
\(138\) | 16.2422 | + | 11.8007i | 1.38263 | + | 1.00454i | ||||
\(139\) | 1.36461 | + | 4.19984i | 0.115745 | + | 0.356226i | 0.992102 | − | 0.125436i | \(-0.0400331\pi\) |
−0.876357 | + | 0.481663i | \(0.840033\pi\) | |||||||
\(140\) | 1.69505 | − | 1.23152i | 0.143258 | − | 0.104083i | ||||
\(141\) | −6.99515 | + | 21.5289i | −0.589098 | + | 1.81306i | ||||
\(142\) | −2.51809 | − | 7.74989i | −0.211314 | − | 0.650357i | ||||
\(143\) | 0.700116 | + | 2.15474i | 0.0585467 | + | 0.180188i | ||||
\(144\) | −0.286073 | − | 0.880442i | −0.0238394 | − | 0.0733702i | ||||
\(145\) | 2.97612 | + | 9.15955i | 0.247153 | + | 0.760659i | ||||
\(146\) | −1.46658 | + | 4.51366i | −0.121375 | + | 0.373553i | ||||
\(147\) | −2.10197 | + | 1.52717i | −0.173368 | + | 0.125959i | ||||
\(148\) | −1.17981 | − | 3.63108i | −0.0969797 | − | 0.298473i | ||||
\(149\) | −7.84762 | − | 5.70163i | −0.642902 | − | 0.467095i | 0.217944 | − | 0.975961i | \(-0.430065\pi\) |
−0.860846 | + | 0.508866i | \(0.830065\pi\) | |||||||
\(150\) | 4.34795 | 0.355008 | ||||||||
\(151\) | 1.37597 | − | 4.23481i | 0.111975 | − | 0.344624i | −0.879329 | − | 0.476215i | \(-0.842009\pi\) |
0.991304 | + | 0.131591i | \(0.0420085\pi\) | |||||||
\(152\) | 0.142856 | + | 0.103791i | 0.0115871 | + | 0.00841854i | ||||
\(153\) | 15.7084 | − | 11.4128i | 1.26995 | − | 0.922673i | ||||
\(154\) | −0.422382 | + | 0.306878i | −0.0340365 | + | 0.0247290i | ||||
\(155\) | 3.40490 | 0.273488 | ||||||||
\(156\) | −9.74707 | + | 7.08166i | −0.780390 | + | 0.566986i | ||||
\(157\) | 4.60562 | + | 14.1746i | 0.367568 | + | 1.13126i | 0.948357 | + | 0.317204i | \(0.102744\pi\) |
−0.580789 | + | 0.814054i | \(0.697256\pi\) | |||||||
\(158\) | −3.50522 | + | 10.7880i | −0.278860 | + | 0.858244i | ||||
\(159\) | −21.4557 | − | 15.5885i | −1.70155 | − | 1.23624i | ||||
\(160\) | 7.95036 | + | 5.77627i | 0.628531 | + | 0.456655i | ||||
\(161\) | 8.53412 | 0.672583 | ||||||||
\(162\) | 1.73058 | − | 5.32616i | 0.135967 | − | 0.418463i | ||||
\(163\) | 22.2939 | 1.74619 | 0.873097 | − | 0.487547i | \(-0.162108\pi\) | ||||
0.873097 | + | 0.487547i | \(0.162108\pi\) | |||||||
\(164\) | 5.58823 | + | 5.08695i | 0.436368 | + | 0.397224i | ||||
\(165\) | −2.65971 | −0.207058 | ||||||||
\(166\) | −0.956827 | + | 2.94481i | −0.0742642 | + | 0.228562i | ||||
\(167\) | −7.58870 | −0.587231 | −0.293616 | − | 0.955924i | \(-0.594859\pi\) | ||||
−0.293616 | + | 0.955924i | \(0.594859\pi\) | |||||||
\(168\) | −6.05254 | − | 4.39743i | −0.466964 | − | 0.339269i | ||||
\(169\) | −1.97268 | − | 1.43323i | −0.151744 | − | 0.110249i | ||||
\(170\) | 2.57159 | − | 7.91455i | 0.197232 | − | 0.607019i | ||||
\(171\) | −0.0710727 | − | 0.218739i | −0.00543507 | − | 0.0167274i | ||||
\(172\) | −6.01906 | + | 4.37311i | −0.458949 | + | 0.333446i | ||||
\(173\) | −6.19352 | −0.470884 | −0.235442 | − | 0.971888i | \(-0.575654\pi\) | ||||
−0.235442 | + | 0.971888i | \(0.575654\pi\) | |||||||
\(174\) | 10.3247 | − | 7.50133i | 0.782713 | − | 0.568674i | ||||
\(175\) | 1.49525 | − | 1.08636i | 0.113030 | − | 0.0821211i | ||||
\(176\) | −0.115145 | − | 0.0836581i | −0.00867942 | − | 0.00630596i | ||||
\(177\) | 2.20484 | − | 6.78579i | 0.165726 | − | 0.510051i | ||||
\(178\) | −6.97210 | −0.522581 | ||||||||
\(179\) | 11.1945 | + | 8.13331i | 0.836719 | + | 0.607912i | 0.921452 | − | 0.388492i | \(-0.127004\pi\) |
−0.0847332 | + | 0.996404i | \(0.527004\pi\) | |||||||
\(180\) | −2.42828 | − | 7.47349i | −0.180994 | − | 0.557041i | ||||
\(181\) | −19.0052 | + | 13.8081i | −1.41264 | + | 1.02635i | −0.419714 | + | 0.907657i | \(0.637869\pi\) |
−0.992931 | + | 0.118690i | \(0.962131\pi\) | |||||||
\(182\) | 1.09937 | − | 3.38351i | 0.0814906 | − | 0.250802i | ||||
\(183\) | −4.09019 | − | 12.5883i | −0.302356 | − | 0.930556i | ||||
\(184\) | 7.59368 | + | 23.3710i | 0.559814 | + | 1.72293i | ||||
\(185\) | 1.77477 | + | 5.46219i | 0.130484 | + | 0.401588i | ||||
\(186\) | −1.39424 | − | 4.29104i | −0.102231 | − | 0.314634i | ||||
\(187\) | 0.922470 | − | 2.83907i | 0.0674577 | − | 0.207613i | ||||
\(188\) | −8.31860 | + | 6.04382i | −0.606696 | + | 0.440791i | ||||
\(189\) | 0.602586 | + | 1.85457i | 0.0438317 | + | 0.134900i | ||||
\(190\) | −0.0797487 | − | 0.0579408i | −0.00578558 | − | 0.00420347i | ||||
\(191\) | 0.522525 | 0.0378086 | 0.0189043 | − | 0.999821i | \(-0.493982\pi\) | ||||
0.0189043 | + | 0.999821i | \(0.493982\pi\) | |||||||
\(192\) | 4.42040 | − | 13.6046i | 0.319015 | − | 0.981827i | ||||
\(193\) | −5.41297 | − | 3.93276i | −0.389634 | − | 0.283086i | 0.375671 | − | 0.926753i | \(-0.377412\pi\) |
−0.765306 | + | 0.643667i | \(0.777412\pi\) | |||||||
\(194\) | 1.17113 | − | 0.850876i | 0.0840822 | − | 0.0610893i | ||||
\(195\) | 14.6624 | − | 10.6528i | 1.05000 | − | 0.762866i | ||||
\(196\) | −1.18018 | −0.0842983 | ||||||||
\(197\) | −16.1193 | + | 11.7114i | −1.14845 | + | 0.834401i | −0.988275 | − | 0.152686i | \(-0.951208\pi\) |
−0.160180 | + | 0.987088i | \(0.551208\pi\) | |||||||
\(198\) | 0.605094 | + | 1.86229i | 0.0430021 | + | 0.132347i | ||||
\(199\) | 5.66138 | − | 17.4239i | 0.401325 | − | 1.23515i | −0.522601 | − | 0.852578i | \(-0.675038\pi\) |
0.923925 | − | 0.382573i | \(-0.124962\pi\) | |||||||
\(200\) | 4.30551 | + | 3.12813i | 0.304445 | + | 0.221192i | ||||
\(201\) | −22.7310 | − | 16.5150i | −1.60332 | − | 1.16488i | ||||
\(202\) | −6.80204 | −0.478590 | ||||||||
\(203\) | 1.67638 | − | 5.15937i | 0.117659 | − | 0.362117i | ||||
\(204\) | 15.8744 | 1.11143 | ||||||||
\(205\) | −8.40631 | − | 7.65224i | −0.587122 | − | 0.534455i | ||||
\(206\) | −5.52175 | −0.384718 | ||||||||
\(207\) | 9.89085 | − | 30.4409i | 0.687462 | − | 2.11579i | ||||
\(208\) | 0.969845 | 0.0672467 | ||||||||
\(209\) | −0.0286071 | − | 0.0207842i | −0.00197879 | − | 0.00143768i | ||||
\(210\) | 3.37881 | + | 2.45485i | 0.233160 | + | 0.169401i | ||||
\(211\) | 4.14780 | − | 12.7656i | 0.285546 | − | 0.878821i | −0.700688 | − | 0.713468i | \(-0.747124\pi\) |
0.986234 | − | 0.165353i | \(-0.0528765\pi\) | |||||||
\(212\) | −3.72259 | − | 11.4569i | −0.255668 | − | 0.786866i | ||||
\(213\) | −18.9172 | + | 13.7441i | −1.29618 | + | 0.941731i | ||||
\(214\) | −4.82870 | −0.330083 | ||||||||
\(215\) | 9.05440 | − | 6.57841i | 0.617505 | − | 0.448644i | ||||
\(216\) | −4.54261 | + | 3.30040i | −0.309086 | + | 0.224564i | ||||
\(217\) | −1.55162 | − | 1.12732i | −0.105331 | − | 0.0765272i | ||||
\(218\) | −4.93564 | + | 15.1904i | −0.334284 | + | 1.02882i | ||||
\(219\) | 13.6186 | 0.920257 | ||||||||
\(220\) | −0.977393 | − | 0.710118i | −0.0658958 | − | 0.0478761i | ||||
\(221\) | 6.28587 | + | 19.3459i | 0.422833 | + | 1.30135i | ||||
\(222\) | 6.15701 | − | 4.47333i | 0.413231 | − | 0.300230i | ||||
\(223\) | −4.73046 | + | 14.5589i | −0.316775 | + | 0.974934i | 0.658242 | + | 0.752806i | \(0.271300\pi\) |
−0.975018 | + | 0.222128i | \(0.928700\pi\) | |||||||
\(224\) | −1.71054 | − | 5.26451i | −0.114290 | − | 0.351750i | ||||
\(225\) | −2.14205 | − | 6.59256i | −0.142803 | − | 0.439504i | ||||
\(226\) | 5.25527 | + | 16.1740i | 0.349575 | + | 1.07588i | ||||
\(227\) | 4.28078 | + | 13.1749i | 0.284125 | + | 0.874447i | 0.986660 | + | 0.162797i | \(0.0520517\pi\) |
−0.702534 | + | 0.711650i | \(0.747948\pi\) | |||||||
\(228\) | 0.0581067 | − | 0.178834i | 0.00384821 | − | 0.0118436i | ||||
\(229\) | 20.7308 | − | 15.0618i | 1.36993 | − | 0.995310i | 0.372184 | − | 0.928159i | \(-0.378609\pi\) |
0.997743 | − | 0.0671515i | \(-0.0213911\pi\) | |||||||
\(230\) | −4.23915 | − | 13.0468i | −0.279521 | − | 0.860278i | ||||
\(231\) | 1.21203 | + | 0.880592i | 0.0797458 | + | 0.0579387i | ||||
\(232\) | 15.6207 | 1.02555 | ||||||||
\(233\) | 3.32802 | − | 10.2426i | 0.218026 | − | 0.671015i | −0.780899 | − | 0.624658i | \(-0.785239\pi\) |
0.998925 | − | 0.0463578i | \(-0.0147614\pi\) | |||||||
\(234\) | −10.7947 | − | 7.84282i | −0.705672 | − | 0.512701i | ||||
\(235\) | 12.5136 | − | 9.09164i | 0.816295 | − | 0.593073i | ||||
\(236\) | 2.62198 | − | 1.90498i | 0.170677 | − | 0.124004i | ||||
\(237\) | 32.5493 | 2.11430 | ||||||||
\(238\) | −3.79228 | + | 2.75525i | −0.245817 | + | 0.178596i | ||||
\(239\) | −0.471584 | − | 1.45139i | −0.0305042 | − | 0.0938824i | 0.934645 | − | 0.355582i | \(-0.115717\pi\) |
−0.965149 | + | 0.261699i | \(0.915717\pi\) | |||||||
\(240\) | −0.351828 | + | 1.08282i | −0.0227104 | + | 0.0698955i | ||||
\(241\) | 20.1724 | + | 14.6561i | 1.29942 | + | 0.944084i | 0.999950 | − | 0.0100212i | \(-0.00318989\pi\) |
0.299471 | + | 0.954105i | \(0.403190\pi\) | |||||||
\(242\) | −7.81414 | − | 5.67730i | −0.502312 | − | 0.364951i | ||||
\(243\) | −21.9201 | −1.40617 | ||||||||
\(244\) | 1.85790 | − | 5.71802i | 0.118940 | − | 0.366059i | ||||
\(245\) | 1.77532 | 0.113421 | ||||||||
\(246\) | −6.20153 | + | 13.7275i | −0.395395 | + | 0.875235i | ||||
\(247\) | 0.240951 | 0.0153313 | ||||||||
\(248\) | 1.70656 | − | 5.25224i | 0.108366 | − | 0.333518i | ||||
\(249\) | 8.88504 | 0.563067 | ||||||||
\(250\) | −8.90581 | − | 6.47045i | −0.563253 | − | 0.409227i | ||||
\(251\) | −22.3062 | − | 16.2064i | −1.40796 | − | 1.02294i | −0.993616 | − | 0.112817i | \(-0.964013\pi\) |
−0.414340 | − | 0.910122i | \(-0.635987\pi\) | |||||||
\(252\) | −1.36780 | + | 4.20965i | −0.0861631 | + | 0.265183i | ||||
\(253\) | −1.52065 | − | 4.68007i | −0.0956023 | − | 0.294233i | ||||
\(254\) | −3.47400 | + | 2.52401i | −0.217978 | + | 0.158371i | ||||
\(255\) | −23.8797 | −1.49540 | ||||||||
\(256\) | 13.3663 | − | 9.71120i | 0.835395 | − | 0.606950i | ||||
\(257\) | −9.78467 | + | 7.10898i | −0.610351 | + | 0.443446i | −0.849538 | − | 0.527528i | \(-0.823119\pi\) |
0.239187 | + | 0.970974i | \(0.423119\pi\) | |||||||
\(258\) | −11.9981 | − | 8.71711i | −0.746967 | − | 0.542703i | ||||
\(259\) | 0.999689 | − | 3.07673i | 0.0621177 | − | 0.191179i | ||||
\(260\) | 8.23237 | 0.510550 | ||||||||
\(261\) | −16.4604 | − | 11.9592i | −1.01887 | − | 0.740255i | ||||
\(262\) | −0.629411 | − | 1.93713i | −0.0388851 | − | 0.119676i | ||||
\(263\) | −5.20880 | + | 3.78442i | −0.321188 | + | 0.233357i | −0.736682 | − | 0.676239i | \(-0.763609\pi\) |
0.415494 | + | 0.909596i | \(0.363609\pi\) | |||||||
\(264\) | −1.33306 | + | 4.10274i | −0.0820442 | + | 0.252506i | ||||
\(265\) | 5.59984 | + | 17.2345i | 0.343995 | + | 1.05871i | ||||
\(266\) | 0.0171582 | + | 0.0528074i | 0.00105203 | + | 0.00323783i | ||||
\(267\) | 6.18236 | + | 19.0274i | 0.378354 | + | 1.16446i | ||||
\(268\) | −3.94386 | − | 12.1379i | −0.240909 | − | 0.741443i | ||||
\(269\) | 4.80212 | − | 14.7794i | 0.292790 | − | 0.901115i | −0.691165 | − | 0.722697i | \(-0.742902\pi\) |
0.983955 | − | 0.178418i | \(-0.0570980\pi\) | |||||||
\(270\) | 2.53590 | − | 1.84244i | 0.154330 | − | 0.112127i | ||||
\(271\) | −4.11144 | − | 12.6537i | −0.249752 | − | 0.768658i | −0.994818 | − | 0.101668i | \(-0.967582\pi\) |
0.745066 | − | 0.666991i | \(-0.232418\pi\) | |||||||
\(272\) | −1.03381 | − | 0.751109i | −0.0626841 | − | 0.0455427i | ||||
\(273\) | −10.2087 | −0.617857 | ||||||||
\(274\) | 3.29480 | − | 10.1404i | 0.199046 | − | 0.612601i | ||||
\(275\) | −0.862184 | − | 0.626414i | −0.0519917 | − | 0.0377742i | ||||
\(276\) | 21.1705 | − | 15.3813i | 1.27432 | − | 0.925846i | ||||
\(277\) | −26.0314 | + | 18.9129i | −1.56408 | + | 1.13637i | −0.631513 | + | 0.775365i | \(0.717566\pi\) |
−0.932564 | + | 0.361004i | \(0.882434\pi\) | |||||||
\(278\) | −3.99841 | −0.239809 | ||||||||
\(279\) | −5.81938 | + | 4.22803i | −0.348397 | + | 0.253125i | ||||
\(280\) | 1.57969 | + | 4.86178i | 0.0944044 | + | 0.290547i | ||||
\(281\) | −1.69384 | + | 5.21309i | −0.101046 | + | 0.310987i | −0.988782 | − | 0.149365i | \(-0.952277\pi\) |
0.887736 | + | 0.460352i | \(0.152277\pi\) | |||||||
\(282\) | −16.5818 | − | 12.0474i | −0.987434 | − | 0.717413i | ||||
\(283\) | 2.97167 | + | 2.15905i | 0.176647 | + | 0.128342i | 0.672596 | − | 0.740010i | \(-0.265179\pi\) |
−0.495948 | + | 0.868352i | \(0.665179\pi\) | |||||||
\(284\) | −10.6213 | −0.630256 | ||||||||
\(285\) | −0.0874092 | + | 0.269018i | −0.00517767 | + | 0.0159352i | ||||
\(286\) | −2.05139 | −0.121301 | ||||||||
\(287\) | 1.29721 | + | 6.27035i | 0.0765721 | + | 0.370127i | ||||
\(288\) | −20.7608 | −1.22334 | ||||||||
\(289\) | 3.02894 | − | 9.32211i | 0.178173 | − | 0.548359i | ||||
\(290\) | −8.72023 | −0.512070 | ||||||||
\(291\) | −3.36058 | − | 2.44160i | −0.197000 | − | 0.143129i | ||||
\(292\) | 5.00457 | + | 3.63603i | 0.292870 | + | 0.212783i | ||||
\(293\) | −6.47885 | + | 19.9398i | −0.378498 | + | 1.16490i | 0.562590 | + | 0.826736i | \(0.309805\pi\) |
−0.941088 | + | 0.338162i | \(0.890195\pi\) | |||||||
\(294\) | −0.726962 | − | 2.23736i | −0.0423973 | − | 0.130485i | ||||
\(295\) | −3.94421 | + | 2.86564i | −0.229641 | + | 0.166844i | ||||
\(296\) | 9.31524 | 0.541437 | ||||||||
\(297\) | 0.909665 | − | 0.660910i | 0.0527841 | − | 0.0383499i | ||||
\(298\) | 7.10556 | − | 5.16249i | 0.411614 | − | 0.299055i | ||||
\(299\) | 27.1279 | + | 19.7096i | 1.56885 | + | 1.13984i | ||||
\(300\) | 1.75127 | − | 5.38986i | 0.101110 | − | 0.311183i | ||||
\(301\) | −6.30412 | −0.363363 | ||||||||
\(302\) | 3.26171 | + | 2.36977i | 0.187690 | + | 0.136365i | ||||
\(303\) | 6.03157 | + | 18.5633i | 0.346505 | + | 1.06643i | ||||
\(304\) | −0.0122458 | + | 0.00889710i | −0.000702346 | + | 0.000510284i | ||||
\(305\) | −2.79481 | + | 8.60155i | −0.160030 | + | 0.492523i | ||||
\(306\) | 5.43272 | + | 16.7202i | 0.310568 | + | 0.955830i | ||||
\(307\) | −6.27059 | − | 19.2989i | −0.357882 | − | 1.10145i | −0.954320 | − | 0.298787i | \(-0.903418\pi\) |
0.596438 | − | 0.802659i | \(-0.296582\pi\) | |||||||
\(308\) | 0.210289 | + | 0.647203i | 0.0119823 | + | 0.0368778i | ||||
\(309\) | 4.89629 | + | 15.0692i | 0.278540 | + | 0.857259i | ||||
\(310\) | −0.952680 | + | 2.93205i | −0.0541086 | + | 0.166529i | ||||
\(311\) | 8.69176 | − | 6.31493i | 0.492864 | − | 0.358087i | −0.313420 | − | 0.949614i | \(-0.601475\pi\) |
0.806285 | + | 0.591528i | \(0.201475\pi\) | |||||||
\(312\) | −9.08371 | − | 27.9568i | −0.514264 | − | 1.58274i | ||||
\(313\) | −3.53643 | − | 2.56937i | −0.199891 | − | 0.145229i | 0.483337 | − | 0.875434i | \(-0.339425\pi\) |
−0.683228 | + | 0.730205i | \(0.739425\pi\) | |||||||
\(314\) | −13.4948 | −0.761554 | ||||||||
\(315\) | 2.05756 | − | 6.33252i | 0.115930 | − | 0.356797i | ||||
\(316\) | 11.9613 | + | 8.69037i | 0.672874 | + | 0.488871i | ||||
\(317\) | −27.6728 | + | 20.1055i | −1.55426 | + | 1.12924i | −0.613736 | + | 0.789512i | \(0.710334\pi\) |
−0.940525 | + | 0.339725i | \(0.889666\pi\) | |||||||
\(318\) | 19.4268 | − | 14.1144i | 1.08940 | − | 0.791498i | ||||
\(319\) | −3.12808 | −0.175139 | ||||||||
\(320\) | −7.90762 | + | 5.74522i | −0.442049 | + | 0.321168i | ||||
\(321\) | 4.28175 | + | 13.1779i | 0.238984 | + | 0.735517i | ||||
\(322\) | −2.38782 | + | 7.34895i | −0.133068 | + | 0.409541i | ||||
\(323\) | −0.256843 | − | 0.186608i | −0.0142911 | − | 0.0103831i | ||||
\(324\) | −5.90544 | − | 4.29055i | −0.328080 | − | 0.238364i | ||||
\(325\) | 7.26199 | 0.402823 | ||||||||
\(326\) | −6.23776 | + | 19.1979i | −0.345478 | + | 1.06327i | ||||
\(327\) | 45.8321 | 2.53452 | ||||||||
\(328\) | −16.0173 | + | 9.13183i | −0.884406 | + | 0.504221i | ||||
\(329\) | −8.71256 | −0.480339 | ||||||||
\(330\) | 0.744177 | − | 2.29034i | 0.0409656 | − | 0.126079i | ||||
\(331\) | 21.2155 | 1.16611 | 0.583054 | − | 0.812433i | \(-0.301858\pi\) | ||||
0.583054 | + | 0.812433i | \(0.301858\pi\) | |||||||
\(332\) | 3.26509 | + | 2.37223i | 0.179195 | + | 0.130193i | ||||
\(333\) | −9.81596 | − | 7.13171i | −0.537911 | − | 0.390816i | ||||
\(334\) | 2.12329 | − | 6.53482i | 0.116181 | − | 0.357570i | ||||
\(335\) | 5.93269 | + | 18.2590i | 0.324138 | + | 0.997593i | ||||
\(336\) | 0.518834 | − | 0.376955i | 0.0283047 | − | 0.0205646i | ||||
\(337\) | −16.9813 | −0.925032 | −0.462516 | − | 0.886611i | \(-0.653053\pi\) | ||||
−0.462516 | + | 0.886611i | \(0.653053\pi\) | |||||||
\(338\) | 1.78614 | − | 1.29771i | 0.0971533 | − | 0.0705860i | ||||
\(339\) | 39.4801 | − | 28.6840i | 2.14427 | − | 1.55790i | ||||
\(340\) | −8.77535 | − | 6.37566i | −0.475910 | − | 0.345769i | ||||
\(341\) | −0.341740 | + | 1.05177i | −0.0185063 | + | 0.0569565i | ||||
\(342\) | 0.208248 | 0.0112608 | ||||||||
\(343\) | −0.809017 | − | 0.587785i | −0.0436828 | − | 0.0317374i | ||||
\(344\) | −5.60942 | − | 17.2640i | −0.302440 | − | 0.930814i | ||||
\(345\) | −31.8466 | + | 23.1379i | −1.71456 | + | 1.24570i | ||||
\(346\) | 1.73293 | − | 5.33340i | 0.0931627 | − | 0.286725i | ||||
\(347\) | −7.47017 | − | 22.9908i | −0.401020 | − | 1.23421i | −0.924173 | − | 0.381974i | \(-0.875244\pi\) |
0.523153 | − | 0.852239i | \(-0.324756\pi\) | |||||||
\(348\) | −5.14030 | − | 15.8202i | −0.275549 | − | 0.848052i | ||||
\(349\) | 6.47966 | + | 19.9423i | 0.346848 | + | 1.06749i | 0.960587 | + | 0.277980i | \(0.0896647\pi\) |
−0.613739 | + | 0.789509i | \(0.710335\pi\) | |||||||
\(350\) | 0.517128 | + | 1.59156i | 0.0276416 | + | 0.0850722i | ||||
\(351\) | −2.36766 | + | 7.28691i | −0.126376 | + | 0.388947i | ||||
\(352\) | −2.58224 | + | 1.87611i | −0.137634 | + | 0.0999968i | ||||
\(353\) | −6.64214 | − | 20.4424i | −0.353525 | − | 1.08804i | −0.956860 | − | 0.290551i | \(-0.906161\pi\) |
0.603334 | − | 0.797488i | \(-0.293839\pi\) | |||||||
\(354\) | 5.22651 | + | 3.79729i | 0.277786 | + | 0.201823i | ||||
\(355\) | 15.9774 | 0.847993 | ||||||||
\(356\) | −2.80823 | + | 8.64284i | −0.148836 | + | 0.458070i | ||||
\(357\) | 10.8820 | + | 7.90624i | 0.575937 | + | 0.418443i | ||||
\(358\) | −10.1360 | + | 7.36423i | −0.535704 | + | 0.389212i | ||||
\(359\) | −0.307741 | + | 0.223587i | −0.0162419 | + | 0.0118005i | −0.595877 | − | 0.803076i | \(-0.703195\pi\) |
0.579635 | + | 0.814876i | \(0.303195\pi\) | |||||||
\(360\) | 19.1726 | 1.01049 | ||||||||
\(361\) | 15.3683 | − | 11.1657i | 0.808857 | − | 0.587669i | ||||
\(362\) | −6.57290 | − | 20.2293i | −0.345464 | − | 1.06323i | ||||
\(363\) | −8.56475 | + | 26.3596i | −0.449533 | + | 1.38352i | ||||
\(364\) | −3.75150 | − | 2.72562i | −0.196632 | − | 0.142862i | ||||
\(365\) | −7.52831 | − | 5.46964i | −0.394050 | − | 0.286294i | ||||
\(366\) | 11.9846 | 0.626443 | ||||||||
\(367\) | 7.76985 | − | 23.9132i | 0.405583 | − | 1.24826i | −0.514824 | − | 0.857296i | \(-0.672143\pi\) |
0.920407 | − | 0.390961i | \(-0.127857\pi\) | |||||||
\(368\) | −2.10650 | −0.109809 | ||||||||
\(369\) | 23.8695 | + | 2.64007i | 1.24260 | + | 0.137437i | ||||
\(370\) | −5.20021 | −0.270346 | ||||||||
\(371\) | 3.15426 | − | 9.70782i | 0.163761 | − | 0.504005i | ||||
\(372\) | −5.88088 | −0.304910 | ||||||||
\(373\) | −10.4213 | − | 7.57151i | −0.539594 | − | 0.392038i | 0.284340 | − | 0.958723i | \(-0.408225\pi\) |
−0.823934 | + | 0.566686i | \(0.808225\pi\) | |||||||
\(374\) | 2.18669 | + | 1.58872i | 0.113071 | + | 0.0821510i | ||||
\(375\) | −9.76128 | + | 30.0421i | −0.504070 | + | 1.55137i | ||||
\(376\) | −7.75246 | − | 23.8596i | −0.399803 | − | 1.23047i | ||||
\(377\) | 17.2444 | − | 12.5288i | 0.888133 | − | 0.645266i | ||||
\(378\) | −1.76562 | −0.0908136 | ||||||||
\(379\) | −5.08338 | + | 3.69329i | −0.261115 | + | 0.189711i | −0.710639 | − | 0.703557i | \(-0.751594\pi\) |
0.449523 | + | 0.893269i | \(0.351594\pi\) | |||||||
\(380\) | −0.103947 | + | 0.0755216i | −0.00533235 | + | 0.00387418i | ||||
\(381\) | 9.96871 | + | 7.24269i | 0.510712 | + | 0.371054i | ||||
\(382\) | −0.146201 | + | 0.449960i | −0.00748029 | + | 0.0230220i | ||||
\(383\) | 26.2052 | 1.33902 | 0.669511 | − | 0.742802i | \(-0.266504\pi\) | ||||
0.669511 | + | 0.742802i | \(0.266504\pi\) | |||||||
\(384\) | −12.7922 | − | 9.29406i | −0.652798 | − | 0.474285i | ||||
\(385\) | −0.316335 | − | 0.973579i | −0.0161219 | − | 0.0496182i | ||||
\(386\) | 4.90113 | − | 3.56088i | 0.249461 | − | 0.181244i | ||||
\(387\) | −7.30633 | + | 22.4866i | −0.371402 | + | 1.14306i | ||||
\(388\) | −0.583064 | − | 1.79449i | −0.0296006 | − | 0.0911013i | ||||
\(389\) | 1.45733 | + | 4.48520i | 0.0738895 | + | 0.227409i | 0.981180 | − | 0.193096i | \(-0.0618530\pi\) |
−0.907290 | + | 0.420505i | \(0.861853\pi\) | |||||||
\(390\) | 5.07095 | + | 15.6068i | 0.256778 | + | 0.790281i | ||||
\(391\) | −13.6529 | − | 42.0192i | −0.690454 | − | 2.12500i | ||||
\(392\) | 0.889803 | − | 2.73853i | 0.0449418 | − | 0.138317i | ||||
\(393\) | −4.72844 | + | 3.43541i | −0.238518 | + | 0.173294i | ||||
\(394\) | −5.57484 | − | 17.1576i | −0.280856 | − | 0.864386i | ||||
\(395\) | −17.9932 | − | 13.0728i | −0.905335 | − | 0.657764i | ||||
\(396\) | 2.55227 | 0.128256 | ||||||||
\(397\) | 1.68095 | − | 5.17344i | 0.0843646 | − | 0.259647i | −0.899972 | − | 0.435948i | \(-0.856413\pi\) |
0.984336 | + | 0.176301i | \(0.0564131\pi\) | |||||||
\(398\) | 13.4202 | + | 9.75032i | 0.672692 | + | 0.488740i | ||||
\(399\) | 0.128901 | − | 0.0936517i | 0.00645310 | − | 0.00468845i | ||||
\(400\) | −0.369075 | + | 0.268149i | −0.0184538 | + | 0.0134074i | ||||
\(401\) | −15.2142 | −0.759762 | −0.379881 | − | 0.925035i | \(-0.624035\pi\) | ||||
−0.379881 | + | 0.925035i | \(0.624035\pi\) | |||||||
\(402\) | 20.5816 | − | 14.9534i | 1.02652 | − | 0.745808i | ||||
\(403\) | −2.32868 | − | 7.16694i | −0.116000 | − | 0.357011i | ||||
\(404\) | −2.73973 | + | 8.43203i | −0.136307 | + | 0.419509i | ||||
\(405\) | 8.88348 | + | 6.45423i | 0.441424 | + | 0.320713i | ||||
\(406\) | 3.97382 | + | 2.88715i | 0.197217 | + | 0.143287i | ||||
\(407\) | −1.86539 | −0.0924640 | ||||||||
\(408\) | −11.9686 | + | 36.8357i | −0.592536 | + | 1.82364i | ||||
\(409\) | −27.8492 | −1.37706 | −0.688528 | − | 0.725210i | \(-0.741743\pi\) | ||||
−0.688528 | + | 0.725210i | \(0.741743\pi\) | |||||||
\(410\) | 8.94160 | − | 5.09782i | 0.441594 | − | 0.251763i | ||||
\(411\) | −30.5953 | −1.50916 | ||||||||
\(412\) | −2.22405 | + | 6.84493i | −0.109571 | + | 0.337226i | ||||
\(413\) | 2.74616 | 0.135130 | ||||||||
\(414\) | 23.4460 | + | 17.0345i | 1.15231 | + | 0.837202i | ||||
\(415\) | −4.91163 | − | 3.56851i | −0.241103 | − | 0.175171i | ||||
\(416\) | 6.72101 | − | 20.6851i | 0.329525 | − | 1.01417i | ||||
\(417\) | 3.54550 | + | 10.9119i | 0.173624 | + | 0.534360i | ||||
\(418\) | 0.0259020 | − | 0.0188189i | 0.00126691 | − | 0.000920463i | ||||
\(419\) | 11.4474 | 0.559243 | 0.279622 | − | 0.960110i | \(-0.409791\pi\) | ||||
0.279622 | + | 0.960110i | \(0.409791\pi\) | |||||||
\(420\) | 4.40404 | − | 3.19972i | 0.214895 | − | 0.156130i | ||||
\(421\) | −6.06924 | + | 4.40956i | −0.295796 | + | 0.214909i | −0.725778 | − | 0.687929i | \(-0.758520\pi\) |
0.429982 | + | 0.902838i | \(0.358520\pi\) | |||||||
\(422\) | 9.83226 | + | 7.14356i | 0.478627 | + | 0.347743i | ||||
\(423\) | −10.0977 | + | 31.0774i | −0.490965 | + | 1.51103i | ||||
\(424\) | 29.3919 | 1.42739 | ||||||||
\(425\) | −7.74097 | − | 5.62414i | −0.375492 | − | 0.272811i | ||||
\(426\) | −6.54246 | − | 20.1356i | −0.316983 | − | 0.975573i | ||||
\(427\) | 4.12145 | − | 2.99441i | 0.199451 | − | 0.144910i | ||||
\(428\) | −1.94491 | + | 5.98581i | −0.0940107 | + | 0.289335i | ||||
\(429\) | 1.81903 | + | 5.59839i | 0.0878235 | + | 0.270293i | ||||
\(430\) | 3.13144 | + | 9.63759i | 0.151012 | + | 0.464766i | ||||
\(431\) | 7.80590 | + | 24.0241i | 0.375997 | + | 1.15720i | 0.942804 | + | 0.333349i | \(0.108179\pi\) |
−0.566807 | + | 0.823851i | \(0.691821\pi\) | |||||||
\(432\) | −0.148738 | − | 0.457767i | −0.00715614 | − | 0.0220243i | ||||
\(433\) | −11.8407 | + | 36.4420i | −0.569028 | + | 1.75129i | 0.0866399 | + | 0.996240i | \(0.472387\pi\) |
−0.655668 | + | 0.755049i | \(0.727613\pi\) | |||||||
\(434\) | 1.40490 | − | 1.02072i | 0.0674372 | − | 0.0489960i | ||||
\(435\) | 7.73248 | + | 23.7981i | 0.370744 | + | 1.14103i | ||||
\(436\) | 16.8425 | + | 12.2368i | 0.806608 | + | 0.586035i | ||||
\(437\) | −0.523344 | −0.0250349 | ||||||||
\(438\) | −3.81043 | + | 11.7273i | −0.182069 | + | 0.560352i | ||||
\(439\) | 16.8806 | + | 12.2645i | 0.805669 | + | 0.585353i | 0.912572 | − | 0.408917i | \(-0.134093\pi\) |
−0.106903 | + | 0.994269i | \(0.534093\pi\) | |||||||
\(440\) | 2.38470 | − | 1.73259i | 0.113686 | − | 0.0825978i | ||||
\(441\) | −3.03424 | + | 2.20451i | −0.144488 | + | 0.104976i | ||||
\(442\) | −18.4180 | −0.876056 | ||||||||
\(443\) | −0.965819 | + | 0.701709i | −0.0458875 | + | 0.0333392i | −0.610493 | − | 0.792022i | \(-0.709028\pi\) |
0.564605 | + | 0.825361i | \(0.309028\pi\) | |||||||
\(444\) | −3.06536 | − | 9.43419i | −0.145475 | − | 0.447727i | ||||
\(445\) | 4.22438 | − | 13.0013i | 0.200255 | − | 0.616321i | ||||
\(446\) | −11.2134 | − | 8.14705i | −0.530972 | − | 0.385774i | ||||
\(447\) | −20.3895 | − | 14.8138i | −0.964390 | − | 0.700671i | ||||
\(448\) | 5.50567 | 0.260119 | ||||||||
\(449\) | 6.06597 | − | 18.6691i | 0.286271 | − | 0.881051i | −0.699744 | − | 0.714394i | \(-0.746703\pi\) |
0.986015 | − | 0.166657i | \(-0.0532974\pi\) | |||||||
\(450\) | 6.27636 | 0.295871 | ||||||||
\(451\) | 3.20748 | − | 1.82866i | 0.151035 | − | 0.0861084i | ||||
\(452\) | 22.1666 | 1.04263 | ||||||||
\(453\) | 3.57502 | − | 11.0028i | 0.167969 | − | 0.516956i | ||||
\(454\) | −12.5430 | −0.588671 | ||||||||
\(455\) | 5.64333 | + | 4.10012i | 0.264564 | + | 0.192217i | ||||
\(456\) | 0.371164 | + | 0.269667i | 0.0173814 | + | 0.0126283i | ||||
\(457\) | −2.67967 | + | 8.24718i | −0.125350 | + | 0.385787i | −0.993965 | − | 0.109701i | \(-0.965011\pi\) |
0.868615 | + | 0.495488i | \(0.165011\pi\) | |||||||
\(458\) | 7.16969 | + | 22.0660i | 0.335017 | + | 1.03108i | ||||
\(459\) | 8.16726 | − | 5.93386i | 0.381215 | − | 0.276969i | ||||
\(460\) | −17.8806 | −0.833689 | ||||||||
\(461\) | 28.6001 | − | 20.7792i | 1.33204 | − | 0.967782i | 0.332341 | − | 0.943159i | \(-0.392161\pi\) |
0.999697 | − | 0.0246232i | \(-0.00783859\pi\) | |||||||
\(462\) | −1.09742 | + | 0.797325i | −0.0510567 | + | 0.0370949i | ||||
\(463\) | −2.18270 | − | 1.58582i | −0.101438 | − | 0.0736994i | 0.535910 | − | 0.844275i | \(-0.319969\pi\) |
−0.637348 | + | 0.770576i | \(0.719969\pi\) | |||||||
\(464\) | −0.413785 | + | 1.27350i | −0.0192095 | + | 0.0591207i | ||||
\(465\) | 8.84653 | 0.410248 | ||||||||
\(466\) | 7.88900 | + | 5.73169i | 0.365451 | + | 0.265516i | ||||
\(467\) | −0.366416 | − | 1.12771i | −0.0169557 | − | 0.0521843i | 0.942221 | − | 0.334993i | \(-0.108734\pi\) |
−0.959176 | + | 0.282809i | \(0.908734\pi\) | |||||||
\(468\) | −14.0701 | + | 10.2225i | −0.650391 | + | 0.472537i | ||||
\(469\) | 3.34175 | − | 10.2849i | 0.154308 | − | 0.474911i | ||||
\(470\) | 4.32779 | + | 13.3196i | 0.199626 | + | 0.614386i | ||||
\(471\) | 11.9662 | + | 36.8282i | 0.551374 | + | 1.69695i | ||||
\(472\) | 2.44354 | + | 7.52044i | 0.112473 | + | 0.346156i | ||||
\(473\) | 1.12330 | + | 3.45715i | 0.0516492 | + | 0.158960i | ||||
\(474\) | −9.10718 | + | 28.0290i | −0.418307 | + | 1.28742i | ||||
\(475\) | −0.0916940 | + | 0.0666196i | −0.00420721 | + | 0.00305672i | ||||
\(476\) | 1.88804 | + | 5.81079i | 0.0865382 | + | 0.266337i | ||||
\(477\) | −30.9717 | − | 22.5023i | −1.41810 | − | 1.03031i | ||||
\(478\) | 1.38177 | 0.0632009 | ||||||||
\(479\) | −0.799874 | + | 2.46176i | −0.0365472 | + | 0.112481i | −0.967666 | − | 0.252236i | \(-0.918834\pi\) |
0.931119 | + | 0.364717i | \(0.118834\pi\) | |||||||
\(480\) | 20.6565 | + | 15.0078i | 0.942834 | + | 0.685009i | ||||
\(481\) | 10.2835 | − | 7.47140i | 0.468887 | − | 0.340667i | ||||
\(482\) | −18.2650 | + | 13.2703i | −0.831946 | + | 0.604444i | ||||
\(483\) | 22.1732 | 1.00891 | ||||||||
\(484\) | −10.1852 | + | 7.39995i | −0.462962 | + | 0.336361i | ||||
\(485\) | 0.877096 | + | 2.69942i | 0.0398269 | + | 0.122575i | ||||
\(486\) | 6.13316 | − | 18.8759i | 0.278206 | − | 0.856230i | ||||
\(487\) | −14.2229 | − | 10.3335i | −0.644502 | − | 0.468258i | 0.216892 | − | 0.976196i | \(-0.430408\pi\) |
−0.861394 | + | 0.507938i | \(0.830408\pi\) | |||||||
\(488\) | 11.8676 | + | 8.62230i | 0.537220 | + | 0.390313i | ||||
\(489\) | 57.9235 | 2.61939 | ||||||||
\(490\) | −0.496730 | + | 1.52878i | −0.0224400 | + | 0.0690631i | ||||
\(491\) | −12.8550 | −0.580138 | −0.290069 | − | 0.957006i | \(-0.593678\pi\) | ||||
−0.290069 | + | 0.957006i | \(0.593678\pi\) | |||||||
\(492\) | 14.5192 | + | 13.2168i | 0.654577 | + | 0.595860i | ||||
\(493\) | −28.0849 | −1.26488 | ||||||||
\(494\) | −0.0674173 | + | 0.207489i | −0.00303325 | + | 0.00933538i | ||||
\(495\) | −3.83935 | −0.172566 | ||||||||
\(496\) | 0.382989 | + | 0.278258i | 0.0171967 | + | 0.0124941i | ||||
\(497\) | −7.28093 | − | 5.28990i | −0.326594 | − | 0.237285i | ||||
\(498\) | −2.48601 | + | 7.65114i | −0.111401 | + | 0.342856i | ||||
\(499\) | −10.5528 | − | 32.4781i | −0.472407 | − | 1.45392i | −0.849423 | − | 0.527713i | \(-0.823050\pi\) |
0.377016 | − | 0.926207i | \(-0.376950\pi\) | |||||||
\(500\) | −11.6081 | + | 8.43376i | −0.519129 | + | 0.377169i | ||||
\(501\) | −19.7168 | −0.880881 | ||||||||
\(502\) | 20.1970 | − | 14.6740i | 0.901435 | − | 0.654931i | ||||
\(503\) | 22.4985 | − | 16.3461i | 1.00316 | − | 0.728838i | 0.0403960 | − | 0.999184i | \(-0.487138\pi\) |
0.962763 | + | 0.270346i | \(0.0871380\pi\) | |||||||
\(504\) | −8.73699 | − | 6.34779i | −0.389176 | − | 0.282753i | ||||
\(505\) | 4.12134 | − | 12.6842i | 0.183397 | − | 0.564439i | ||||
\(506\) | 4.45560 | 0.198076 | ||||||||
\(507\) | −5.12536 | − | 3.72379i | −0.227625 | − | 0.165379i | ||||
\(508\) | 1.72958 | + | 5.32311i | 0.0767378 | + | 0.236175i | ||||
\(509\) | 25.8666 | − | 18.7932i | 1.14652 | − | 0.832992i | 0.158501 | − | 0.987359i | \(-0.449334\pi\) |
0.988014 | + | 0.154367i | \(0.0493338\pi\) | |||||||
\(510\) | 6.68146 | − | 20.5634i | 0.295860 | − | 0.910564i | ||||
\(511\) | 1.61974 | + | 4.98504i | 0.0716530 | + | 0.220525i | ||||
\(512\) | 0.861481 | + | 2.65137i | 0.0380724 | + | 0.117175i | ||||
\(513\) | −0.0369528 | − | 0.113729i | −0.00163151 | − | 0.00502126i | ||||
\(514\) | −3.38401 | − | 10.4149i | −0.149262 | − | 0.459381i | ||||
\(515\) | 3.34562 | − | 10.2967i | 0.147425 | − | 0.453729i | ||||
\(516\) | −15.6386 | + | 11.3621i | −0.688451 | + | 0.500189i | ||||
\(517\) | 1.55244 | + | 4.77793i | 0.0682763 | + | 0.210133i | ||||
\(518\) | 2.36974 | + | 1.72172i | 0.104120 | + | 0.0756479i | ||||
\(519\) | −16.0919 | −0.706354 | ||||||||
\(520\) | −6.20686 | + | 19.1028i | −0.272189 | + | 0.837711i | ||||
\(521\) | 30.6971 | + | 22.3027i | 1.34486 | + | 0.977101i | 0.999250 | + | 0.0387242i | \(0.0123294\pi\) |
0.345614 | + | 0.938377i | \(0.387671\pi\) | |||||||
\(522\) | 14.9039 | − | 10.8283i | 0.652327 | − | 0.473943i | ||||
\(523\) | 13.1828 | − | 9.57787i | 0.576444 | − | 0.418811i | −0.260997 | − | 0.965340i | \(-0.584051\pi\) |
0.837440 | + | 0.546529i | \(0.184051\pi\) | |||||||
\(524\) | −2.65484 | −0.115977 | ||||||||
\(525\) | 3.88492 | − | 2.82256i | 0.169552 | − | 0.123186i | ||||
\(526\) | −1.80145 | − | 5.54430i | −0.0785471 | − | 0.241743i | ||||
\(527\) | −3.06826 | + | 9.44312i | −0.133655 | + | 0.411349i | ||||
\(528\) | −0.299168 | − | 0.217359i | −0.0130196 | − | 0.00945932i | ||||
\(529\) | −40.3143 | − | 29.2900i | −1.75279 | − | 1.27348i | ||||
\(530\) | −16.4079 | −0.712714 | ||||||||
\(531\) | 3.18273 | − | 9.79545i | 0.138119 | − | 0.425086i | ||||
\(532\) | 0.0723727 | 0.00313776 | ||||||||
\(533\) | −10.3579 | + | 22.9279i | −0.448649 | + | 0.993116i | ||||
\(534\) | −18.1148 | −0.783902 | ||||||||
\(535\) | 2.92570 | − | 9.00438i | 0.126489 | − | 0.389293i | ||||
\(536\) | 31.1389 | 1.34500 | ||||||||
\(537\) | 29.0854 | + | 21.1318i | 1.25513 | + | 0.911904i | ||||
\(538\) | 11.3833 | + | 8.27045i | 0.490769 | + | 0.356564i | ||||
\(539\) | −0.178184 | + | 0.548395i | −0.00767495 | + | 0.0236211i | ||||
\(540\) | −1.26253 | − | 3.88568i | −0.0543308 | − | 0.167213i | ||||
\(541\) | 16.9385 | − | 12.3065i | 0.728242 | − | 0.529099i | −0.160764 | − | 0.986993i | \(-0.551396\pi\) |
0.889007 | + | 0.457894i | \(0.151396\pi\) | |||||||
\(542\) | 12.0468 | 0.517455 | ||||||||
\(543\) | −49.3789 | + | 35.8759i | −2.11905 | + | 1.53958i | ||||
\(544\) | −23.1842 | + | 16.8443i | −0.994013 | + | 0.722193i | ||||
\(545\) | −25.3359 | − | 18.4076i | −1.08527 | − | 0.788495i | ||||
\(546\) | 2.85635 | − | 8.79096i | 0.122241 | − | 0.376218i | ||||
\(547\) | 29.3451 | 1.25471 | 0.627353 | − | 0.778735i | \(-0.284138\pi\) | ||||
0.627353 | + | 0.778735i | \(0.284138\pi\) | |||||||
\(548\) | −11.2432 | − | 8.16868i | −0.480287 | − | 0.348949i | ||||
\(549\) | −5.90429 | − | 18.1715i | −0.251989 | − | 0.775542i | ||||
\(550\) | 0.780657 | − | 0.567181i | 0.0332873 | − | 0.0241847i | ||||
\(551\) | −0.102802 | + | 0.316391i | −0.00437950 | + | 0.0134787i | ||||
\(552\) | 19.7297 | + | 60.7219i | 0.839754 | + | 2.58450i | ||||
\(553\) | 3.87128 | + | 11.9146i | 0.164624 | + | 0.506660i | ||||
\(554\) | −9.00292 | − | 27.7081i | −0.382497 | − | 1.17721i | ||||
\(555\) | 4.61117 | + | 14.1917i | 0.195733 | + | 0.602406i | ||||
\(556\) | −1.61048 | + | 4.95655i | −0.0682997 | + | 0.210205i | ||||
\(557\) | −4.56659 | + | 3.31782i | −0.193492 | + | 0.140581i | −0.680314 | − | 0.732921i | \(-0.738156\pi\) |
0.486821 | + | 0.873502i | \(0.338156\pi\) | |||||||
\(558\) | −2.01262 | − | 6.19421i | −0.0852010 | − | 0.262222i | ||||
\(559\) | −20.0393 | − | 14.5594i | −0.847572 | − | 0.615797i | ||||
\(560\) | −0.438207 | −0.0185176 | ||||||||
\(561\) | 2.39674 | − | 7.37641i | 0.101190 | − | 0.311432i | ||||
\(562\) | −4.01520 | − | 2.91721i | −0.169371 | − | 0.123055i | ||||
\(563\) | −18.2463 | + | 13.2567i | −0.768992 | + | 0.558705i | −0.901655 | − | 0.432456i | \(-0.857647\pi\) |
0.132663 | + | 0.991161i | \(0.457647\pi\) | |||||||
\(564\) | −21.6132 | + | 15.7029i | −0.910080 | + | 0.661212i | ||||
\(565\) | −33.3449 | −1.40283 | ||||||||
\(566\) | −2.69067 | + | 1.95489i | −0.113097 | + | 0.0821701i | ||||
\(567\) | −1.91131 | − | 5.88240i | −0.0802673 | − | 0.247037i | ||||
\(568\) | 8.00798 | − | 24.6460i | 0.336007 | − | 1.03412i | ||||
\(569\) | 32.2537 | + | 23.4337i | 1.35215 | + | 0.982391i | 0.998901 | + | 0.0468604i | \(0.0149216\pi\) |
0.353244 | + | 0.935531i | \(0.385078\pi\) | |||||||
\(570\) | −0.207201 | − | 0.150541i | −0.00867871 | − | 0.00630545i | ||||
\(571\) | 7.18457 | 0.300665 | 0.150332 | − | 0.988636i | \(-0.451966\pi\) | ||||
0.150332 | + | 0.988636i | \(0.451966\pi\) | |||||||
\(572\) | −0.826261 | + | 2.54297i | −0.0345477 | + | 0.106327i | ||||
\(573\) | 1.35761 | 0.0567151 | ||||||||
\(574\) | −5.76251 | − | 0.637357i | −0.240523 | − | 0.0266028i | ||||
\(575\) | −15.7730 | −0.657779 | ||||||||
\(576\) | 6.38095 | − | 19.6385i | 0.265873 | − | 0.818273i | ||||
\(577\) | −26.2604 | −1.09323 | −0.546617 | − | 0.837383i | \(-0.684084\pi\) | ||||
−0.546617 | + | 0.837383i | \(0.684084\pi\) | |||||||
\(578\) | 7.18002 | + | 5.21659i | 0.298650 | + | 0.216982i | ||||
\(579\) | −14.0639 | − | 10.2180i | −0.584474 | − | 0.424646i | ||||
\(580\) | −3.51234 | + | 10.8099i | −0.145842 | + | 0.448856i | ||||
\(581\) | 1.05675 | + | 3.25235i | 0.0438415 | + | 0.134930i | ||||
\(582\) | 3.04280 | − | 2.21073i | 0.126128 | − | 0.0916376i | ||||
\(583\) | −5.88576 | −0.243763 | ||||||||
\(584\) | −12.2104 | + | 8.87140i | −0.505272 | + | 0.367101i | ||||
\(585\) | 21.1655 | − | 15.3776i | 0.875085 | − | 0.635787i | ||||
\(586\) | −15.3580 | − | 11.1582i | −0.634431 | − | 0.460941i | ||||
\(587\) | −7.32635 | + | 22.5482i | −0.302391 | + | 0.930663i | 0.678247 | + | 0.734834i | \(0.262740\pi\) |
−0.980638 | + | 0.195829i | \(0.937260\pi\) | |||||||
\(588\) | −3.06631 | −0.126452 | ||||||||
\(589\) | 0.0951508 | + | 0.0691311i | 0.00392062 | + | 0.00284850i | ||||
\(590\) | −1.36410 | − | 4.19826i | −0.0561590 | − | 0.172840i | ||||
\(591\) | −41.8809 | + | 30.4283i | −1.72275 | + | 1.25165i | ||||
\(592\) | −0.246756 | + | 0.759435i | −0.0101416 | + | 0.0312126i | ||||
\(593\) | −4.64843 | − | 14.3064i | −0.190888 | − | 0.587493i | 0.809112 | − | 0.587655i | \(-0.199949\pi\) |
−1.00000 | 0.000161533i | \(0.999949\pi\) | ||||||||
\(594\) | 0.314606 | + | 0.968257i | 0.0129084 | + | 0.0397281i | ||||
\(595\) | −2.84016 | − | 8.74110i | −0.116435 | − | 0.358350i | ||||
\(596\) | −3.53760 | − | 10.8876i | −0.144906 | − | 0.445975i | ||||
\(597\) | 14.7093 | − | 45.2705i | 0.602011 | − | 1.85280i | ||||
\(598\) | −24.5628 | + | 17.8459i | −1.00445 | + | 0.729773i | ||||
\(599\) | −13.7890 | − | 42.4381i | −0.563403 | − | 1.73398i | −0.672650 | − | 0.739961i | \(-0.734844\pi\) |
0.109247 | − | 0.994015i | \(-0.465156\pi\) | |||||||
\(600\) | 11.1865 | + | 8.12745i | 0.456686 | + | 0.331802i | ||||
\(601\) | 2.22099 | 0.0905960 | 0.0452980 | − | 0.998974i | \(-0.485576\pi\) | ||||
0.0452980 | + | 0.998974i | \(0.485576\pi\) | |||||||
\(602\) | 1.76387 | − | 5.42864i | 0.0718901 | − | 0.221255i | ||||
\(603\) | −32.8127 | − | 23.8398i | −1.33624 | − | 0.970833i | ||||
\(604\) | 4.25140 | − | 3.08882i | 0.172987 | − | 0.125682i | ||||
\(605\) | 15.3214 | − | 11.1316i | 0.622903 | − | 0.452566i | ||||
\(606\) | −17.6729 | −0.717913 | ||||||||
\(607\) | 36.3471 | − | 26.4077i | 1.47528 | − | 1.07185i | 0.496242 | − | 0.868184i | \(-0.334713\pi\) |
0.979040 | − | 0.203670i | \(-0.0652871\pi\) | |||||||
\(608\) | 0.104897 | + | 0.322839i | 0.00425413 | + | 0.0130929i | ||||
\(609\) | 4.35554 | − | 13.4050i | 0.176495 | − | 0.543196i | ||||
\(610\) | −6.62504 | − | 4.81337i | −0.268240 | − | 0.194888i | ||||
\(611\) | −27.6952 | − | 20.1217i | −1.12043 | − | 0.814038i | ||||
\(612\) | 22.9151 | 0.926288 | ||||||||
\(613\) | 11.7198 | − | 36.0698i | 0.473358 | − | 1.45685i | −0.374802 | − | 0.927105i | \(-0.622289\pi\) |
0.848160 | − | 0.529741i | \(-0.177711\pi\) | |||||||
\(614\) | 18.3733 | 0.741485 | ||||||||
\(615\) | −21.8411 | − | 19.8819i | −0.880718 | − | 0.801714i | ||||
\(616\) | −1.66035 | −0.0668973 | ||||||||
\(617\) | 3.04575 | − | 9.37387i | 0.122617 | − | 0.377378i | −0.870842 | − | 0.491563i | \(-0.836426\pi\) |
0.993459 | + | 0.114185i | \(0.0364258\pi\) | |||||||
\(618\) | −14.3465 | −0.577100 | ||||||||
\(619\) | 1.16207 | + | 0.844290i | 0.0467073 | + | 0.0339349i | 0.610894 | − | 0.791712i | \(-0.290810\pi\) |
−0.564187 | + | 0.825647i | \(0.690810\pi\) | |||||||
\(620\) | 3.25094 | + | 2.36194i | 0.130561 | + | 0.0948580i | ||||
\(621\) | 5.14254 | − | 15.8271i | 0.206363 | − | 0.635120i | ||||
\(622\) | 3.00603 | + | 9.25159i | 0.120531 | + | 0.370955i | ||||
\(623\) | −6.22961 | + | 4.52608i | −0.249584 | + | 0.181333i | ||||
\(624\) | 2.51983 | 0.100874 | ||||||||
\(625\) | 9.98564 | − | 7.25499i | 0.399426 | − | 0.290200i | ||||
\(626\) | 3.20203 | − | 2.32641i | 0.127979 | − | 0.0929821i | ||||
\(627\) | −0.0743262 | − | 0.0540012i | −0.00296830 | − | 0.00215660i | ||||
\(628\) | −5.43544 | + | 16.7286i | −0.216898 | + | 0.667542i | ||||
\(629\) | −16.7481 | −0.667790 | ||||||||
\(630\) | 4.87740 | + | 3.54364i | 0.194320 | + | 0.141182i | ||||
\(631\) | −6.37789 | − | 19.6291i | −0.253900 | − | 0.781423i | −0.994044 | − | 0.108975i | \(-0.965243\pi\) |
0.740145 | − | 0.672448i | \(-0.234757\pi\) | |||||||
\(632\) | −29.1838 | + | 21.2033i | −1.16087 | + | 0.843420i | ||||
\(633\) | 10.7767 | − | 33.1673i | 0.428336 | − | 1.31828i | ||||
\(634\) | −9.57058 | − | 29.4552i | −0.380096 | − | 1.16982i | ||||
\(635\) | −2.60179 | − | 8.00748i | −0.103249 | − | 0.317767i | ||||
\(636\) | −9.67194 | − | 29.7672i | −0.383517 | − | 1.18035i | ||||
\(637\) | −1.21418 | − | 3.73686i | −0.0481076 | − | 0.148060i | ||||
\(638\) | 0.875226 | − | 2.69367i | 0.0346505 | − | 0.106643i | ||||
\(639\) | −27.3073 | + | 19.8399i | −1.08026 | + | 0.784856i | ||||
\(640\) | 3.33870 | + | 10.2755i | 0.131974 | + | 0.406174i | ||||
\(641\) | 30.2387 | + | 21.9697i | 1.19436 | + | 0.867750i | 0.993718 | − | 0.111915i | \(-0.0356984\pi\) |
0.200638 | + | 0.979665i | \(0.435698\pi\) | |||||||
\(642\) | −12.5458 | −0.495144 | ||||||||
\(643\) | 4.11409 | − | 12.6619i | 0.162244 | − | 0.499335i | −0.836579 | − | 0.547847i | \(-0.815448\pi\) |
0.998823 | + | 0.0485113i | \(0.0154477\pi\) | |||||||
\(644\) | 8.14823 | + | 5.92003i | 0.321085 | + | 0.233282i | ||||
\(645\) | 23.5249 | − | 17.0919i | 0.926294 | − | 0.672992i | ||||
\(646\) | 0.232556 | − | 0.168962i | 0.00914981 | − | 0.00664773i | ||||
\(647\) | −14.1018 | −0.554398 | −0.277199 | − | 0.960813i | \(-0.589406\pi\) | ||||
−0.277199 | + | 0.960813i | \(0.589406\pi\) | |||||||
\(648\) | 14.4084 | − | 10.4683i | 0.566017 | − | 0.411236i | ||||
\(649\) | −0.489322 | − | 1.50598i | −0.0192076 | − | 0.0591149i | ||||
\(650\) | −2.03188 | + | 6.25349i | −0.0796970 | + | 0.245282i | ||||
\(651\) | −4.03138 | − | 2.92897i | −0.158002 | − | 0.114795i | ||||
\(652\) | 21.2858 | + | 15.4651i | 0.833618 | + | 0.605659i | ||||
\(653\) | −22.0805 | −0.864077 | −0.432038 | − | 0.901855i | \(-0.642205\pi\) | ||||
−0.432038 | + | 0.901855i | \(0.642205\pi\) | |||||||
\(654\) | −12.8237 | + | 39.4672i | −0.501446 | + | 1.54329i | ||||
\(655\) | 3.99364 | 0.156044 | ||||||||
\(656\) | −0.320194 | − | 1.54772i | −0.0125015 | − | 0.0604284i | ||||
\(657\) | 19.6587 | 0.766959 | ||||||||
\(658\) | 2.43775 | − | 7.50261i | 0.0950332 | − | 0.292482i | ||||
\(659\) | 27.2461 | 1.06136 | 0.530679 | − | 0.847573i | \(-0.321937\pi\) | ||||
0.530679 | + | 0.847573i | \(0.321937\pi\) | |||||||
\(660\) | −2.53944 | − | 1.84501i | −0.0988476 | − | 0.0718170i | ||||
\(661\) | −36.1676 | − | 26.2773i | −1.40676 | − | 1.02207i | −0.993784 | − | 0.111326i | \(-0.964490\pi\) |
−0.412974 | − | 0.910743i | \(-0.635510\pi\) | |||||||
\(662\) | −5.93602 | + | 18.2692i | −0.230710 | + | 0.710052i | ||||
\(663\) | 16.3318 | + | 50.2641i | 0.634275 | + | 1.95210i | ||||
\(664\) | −7.96636 | + | 5.78790i | −0.309155 | + | 0.224614i | ||||
\(665\) | −0.108869 | −0.00422177 | ||||||||
\(666\) | 8.88778 | − | 6.45735i | 0.344394 | − | 0.250217i | ||||
\(667\) | −37.4547 | + | 27.2125i | −1.45025 | + | 1.05367i | ||||
\(668\) | −7.24556 | − | 5.26421i | −0.280339 | − | 0.203678i | ||||
\(669\) | −12.2906 | + | 37.8265i | −0.475182 | + | 1.46246i | ||||
\(670\) | −17.3832 | −0.671572 | ||||||||
\(671\) | −2.37650 | − | 1.72663i | −0.0917437 | − | 0.0666557i | ||||
\(672\) | −4.44430 | − | 13.6781i | −0.171442 | − | 0.527645i | ||||
\(673\) | −16.8803 | + | 12.2643i | −0.650689 | + | 0.472753i | −0.863506 | − | 0.504339i | \(-0.831736\pi\) |
0.212817 | + | 0.977092i | \(0.431736\pi\) | |||||||
\(674\) | 4.75132 | − | 14.6231i | 0.183014 | − | 0.563259i | ||||
\(675\) | −1.11372 | − | 3.42766i | −0.0428669 | − | 0.131931i | ||||
\(676\) | −0.889257 | − | 2.73685i | −0.0342022 | − | 0.105263i | ||||
\(677\) | −3.89871 | − | 11.9990i | −0.149840 | − | 0.461159i | 0.847762 | − | 0.530377i | \(-0.177950\pi\) |
−0.997602 | + | 0.0692180i | \(0.977950\pi\) | |||||||
\(678\) | 13.6541 | + | 42.0231i | 0.524383 | + | 1.61389i | ||||
\(679\) | 0.494048 | − | 1.52052i | 0.0189598 | − | 0.0583524i | ||||
\(680\) | 21.4106 | − | 15.5557i | 0.821059 | − | 0.596534i | ||||
\(681\) | 11.1222 | + | 34.2307i | 0.426204 | + | 1.31172i | ||||
\(682\) | −0.810088 | − | 0.588563i | −0.0310199 | − | 0.0225372i | ||||
\(683\) | −1.59842 | −0.0611617 | −0.0305809 | − | 0.999532i | \(-0.509736\pi\) | ||||
−0.0305809 | + | 0.999532i | \(0.509736\pi\) | |||||||
\(684\) | 0.0838784 | − | 0.258151i | 0.00320717 | − | 0.00987065i | ||||
\(685\) | 16.9130 | + | 12.2880i | 0.646214 | + | 0.469502i | ||||
\(686\) | 0.732517 | − | 0.532205i | 0.0279676 | − | 0.0203197i | ||||
\(687\) | 53.8622 | − | 39.1332i | 2.05497 | − | 1.49302i | ||||
\(688\) | 1.55606 | 0.0593242 | ||||||||
\(689\) | 32.4469 | − | 23.5741i | 1.23613 | − | 0.898101i | ||||
\(690\) | −11.0141 | − | 33.8978i | −0.419298 | − | 1.29047i | ||||
\(691\) | −2.07242 | + | 6.37826i | −0.0788387 | + | 0.242640i | −0.982706 | − | 0.185172i | \(-0.940716\pi\) |
0.903867 | + | 0.427813i | \(0.140716\pi\) | |||||||
\(692\) | −5.91346 | − | 4.29638i | −0.224796 | − | 0.163324i | ||||
\(693\) | 1.74959 | + | 1.27116i | 0.0664616 | + | 0.0482872i | ||||
\(694\) | 21.8881 | 0.830862 | ||||||||
\(695\) | 2.42263 | − | 7.45608i | 0.0918955 | − | 0.282825i | ||||
\(696\) | 40.5855 | 1.53839 | ||||||||
\(697\) | 28.7978 | − | 16.4183i | 1.09080 | − | 0.621889i | ||||
\(698\) | −18.9858 | −0.718625 | ||||||||
\(699\) | 8.64680 | − | 26.6121i | 0.327052 | − | 1.00656i | ||||
\(700\) | 2.18123 | 0.0824428 | ||||||||
\(701\) | 35.6564 | + | 25.9059i | 1.34672 | + | 0.978451i | 0.999168 | + | 0.0407909i | \(0.0129878\pi\) |
0.347554 | + | 0.937660i | \(0.387012\pi\) | |||||||
\(702\) | −5.61248 | − | 4.07771i | −0.211830 | − | 0.153903i | ||||
\(703\) | −0.0613046 | + | 0.188676i | −0.00231215 | + | 0.00711606i | ||||
\(704\) | −0.981025 | − | 3.01929i | −0.0369738 | − | 0.113794i | ||||
\(705\) | 32.5125 | − | 23.6217i | 1.22449 | − | 0.889644i | ||||
\(706\) | 19.4619 | 0.732459 | ||||||||
\(707\) | −6.07766 | + | 4.41568i | −0.228574 | + | 0.166069i | ||||
\(708\) | 6.81238 | − | 4.94948i | 0.256025 | − | 0.186013i | ||||
\(709\) | −19.8839 | − | 14.4465i | −0.746755 | − | 0.542550i | 0.148064 | − | 0.988978i | \(-0.452696\pi\) |
−0.894819 | + | 0.446428i | \(0.852696\pi\) | |||||||
\(710\) | −4.47043 | + | 13.7586i | −0.167772 | + | 0.516350i | ||||
\(711\) | 46.9856 | 1.76210 | ||||||||
\(712\) | −17.9379 | − | 13.0327i | −0.672252 | − | 0.488420i | ||||
\(713\) | 5.05787 | + | 15.5665i | 0.189419 | + | 0.582971i | ||||
\(714\) | −9.85302 | + | 7.15864i | −0.368740 | + | 0.267905i | ||||
\(715\) | 1.24293 | − | 3.82535i | 0.0464831 | − | 0.143060i | ||||
\(716\) | 5.04635 | + | 15.5311i | 0.188591 | + | 0.580424i | ||||
\(717\) | −1.22526 | − | 3.77096i | −0.0457581 | − | 0.140829i | ||||
\(718\) | −0.106432 | − | 0.327563i | −0.00397199 | − | 0.0122245i | ||||
\(719\) | 14.0619 | + | 43.2781i | 0.524421 | + | 1.61400i | 0.765458 | + | 0.643486i | \(0.222512\pi\) |
−0.241037 | + | 0.970516i | \(0.577488\pi\) | |||||||
\(720\) | −0.507872 | + | 1.56307i | −0.0189273 | + | 0.0582522i | ||||
\(721\) | −4.93371 | + | 3.58455i | −0.183741 | + | 0.133496i | ||||
\(722\) | 5.31509 | + | 16.3582i | 0.197807 | + | 0.608787i | ||||
\(723\) | 52.4116 | + | 38.0792i | 1.94921 | + | 1.41618i | ||||
\(724\) | −27.7244 | −1.03037 | ||||||||
\(725\) | −3.09833 | + | 9.53568i | −0.115069 | + | 0.354146i | ||||
\(726\) | −20.3025 | − | 14.7506i | −0.753497 | − | 0.547448i | ||||
\(727\) | −33.0858 | + | 24.0383i | −1.22709 | + | 0.891530i | −0.996668 | − | 0.0815615i | \(-0.974009\pi\) |
−0.230418 | + | 0.973092i | \(0.574009\pi\) | |||||||
\(728\) | 9.15313 | − | 6.65014i | 0.339238 | − | 0.246471i | ||||
\(729\) | −38.3969 | −1.42211 | ||||||||
\(730\) | 6.81644 | − | 4.95243i | 0.252288 | − | 0.183298i | ||||
\(731\) | 10.0853 | + | 31.0394i | 0.373019 | + | 1.14803i | ||||
\(732\) | 4.82715 | − | 14.8564i | 0.178417 | − | 0.549110i | ||||
\(733\) | 3.71670 | + | 2.70034i | 0.137279 | + | 0.0997392i | 0.654306 | − | 0.756230i | \(-0.272961\pi\) |
−0.517026 | + | 0.855970i | \(0.672961\pi\) | |||||||
\(734\) | 18.4183 | + | 13.3816i | 0.679830 | + | 0.493925i | ||||
\(735\) | 4.61261 | 0.170139 | ||||||||
\(736\) | −14.5980 | + | 44.9280i | −0.538089 | + | 1.65607i | ||||
\(737\) | −6.23562 | −0.229692 | ||||||||
\(738\) | −8.95205 | + | 19.8160i | −0.329530 | + | 0.729437i | ||||
\(739\) | 15.4638 | 0.568845 | 0.284423 | − | 0.958699i | \(-0.408198\pi\) | ||||
0.284423 | + | 0.958699i | \(0.408198\pi\) | |||||||
\(740\) | −2.09454 | + | 6.44634i | −0.0769970 | + | 0.236972i | ||||
\(741\) | 0.626034 | 0.0229979 | ||||||||
\(742\) | 7.47710 | + | 5.43243i | 0.274493 | + | 0.199431i | ||||
\(743\) | −24.1822 | − | 17.5694i | −0.887158 | − | 0.644558i | 0.0479777 | − | 0.998848i | \(-0.484722\pi\) |
−0.935135 | + | 0.354291i | \(0.884722\pi\) | |||||||
\(744\) | 4.43394 | − | 13.6463i | 0.162556 | − | 0.500296i | ||||
\(745\) | 5.32157 | + | 16.3781i | 0.194967 | + | 0.600048i | ||||
\(746\) | 9.43586 | − | 6.85556i | 0.345471 | − | 0.251000i | ||||
\(747\) | 12.8258 | 0.469270 | ||||||||
\(748\) | 2.85019 | − | 2.07079i | 0.104213 | − | 0.0757154i | ||||
\(749\) | −4.31447 | + | 3.13465i | −0.157647 | + | 0.114538i | ||||
\(750\) | −23.1389 | − | 16.8114i | −0.844913 | − | 0.613865i | ||||
\(751\) | 8.54059 | − | 26.2852i | 0.311650 | − | 0.959161i | −0.665461 | − | 0.746433i | \(-0.731765\pi\) |
0.977111 | − | 0.212729i | \(-0.0682350\pi\) | |||||||
\(752\) | 2.15054 | 0.0784221 | ||||||||
\(753\) | −57.9555 | − | 42.1071i | −2.11202 | − | 1.53447i | ||||
\(754\) | 5.96394 | + | 18.3551i | 0.217194 | + | 0.668454i | ||||
\(755\) | −6.39532 | + | 4.64648i | −0.232750 | + | 0.169103i | ||||
\(756\) | −0.711157 | + | 2.18872i | −0.0258645 | + | 0.0796029i | ||||
\(757\) | 13.8516 | + | 42.6310i | 0.503446 | + | 1.54945i | 0.803367 | + | 0.595484i | \(0.203040\pi\) |
−0.299921 | + | 0.953964i | \(0.596960\pi\) | |||||||
\(758\) | −1.75807 | − | 5.41080i | −0.0638561 | − | 0.196529i | ||||
\(759\) | −3.95091 | − | 12.1597i | −0.143409 | − | 0.441368i | ||||
\(760\) | −0.0968723 | − | 0.298142i | −0.00351393 | − | 0.0108148i | ||||
\(761\) | −5.53069 | + | 17.0217i | −0.200488 | + | 0.617037i | 0.799381 | + | 0.600824i | \(0.205161\pi\) |
−0.999869 | + | 0.0162127i | \(0.994839\pi\) | |||||||
\(762\) | −9.02608 | + | 6.55783i | −0.326980 | + | 0.237565i | ||||
\(763\) | 5.45109 | + | 16.7767i | 0.197343 | + | 0.607359i | ||||
\(764\) | 0.498898 | + | 0.362471i | 0.0180495 | + | 0.0131137i | ||||
\(765\) | −34.4709 | −1.24630 | ||||||||
\(766\) | −7.33213 | + | 22.5660i | −0.264921 | + | 0.815342i | ||||
\(767\) | 8.72938 | + | 6.34227i | 0.315200 | + | 0.229006i | ||||
\(768\) | 34.7281 | − | 25.2314i | 1.25314 | − | 0.910461i | ||||
\(769\) | 7.88236 | − | 5.72687i | 0.284245 | − | 0.206516i | −0.436522 | − | 0.899694i | \(-0.643790\pi\) |
0.720767 | + | 0.693177i | \(0.243790\pi\) | |||||||
\(770\) | 0.926883 | 0.0334026 | ||||||||
\(771\) | −25.4223 | + | 18.4704i | −0.915562 | + | 0.665195i | ||||
\(772\) | −2.44010 | − | 7.50985i | −0.0878211 | − | 0.270285i | ||||
\(773\) | −1.74661 | + | 5.37550i | −0.0628210 | + | 0.193343i | −0.977541 | − | 0.210745i | \(-0.932411\pi\) |
0.914720 | + | 0.404088i | \(0.132411\pi\) | |||||||
\(774\) | −17.3195 | − | 12.5833i | −0.622536 | − | 0.452299i | ||||
\(775\) | 2.86774 | + | 2.08353i | 0.103012 | + | 0.0748427i | ||||
\(776\) | 4.60361 | 0.165260 | ||||||||
\(777\) | 2.59737 | − | 7.99389i | 0.0931802 | − | 0.286779i | ||||
\(778\) | −4.27008 | −0.153090 | ||||||||
\(779\) | −0.0795500 | − | 0.384521i | −0.00285017 | − | 0.0137769i | ||||
\(780\) | 21.3892 | 0.765855 | ||||||||
\(781\) | −1.60361 | + | 4.93541i | −0.0573817 | + | 0.176603i | ||||
\(782\) | 40.0038 | 1.43053 | ||||||||
\(783\) | −8.55824 | − | 6.21793i | −0.305847 | − | 0.222211i | ||||
\(784\) | 0.199691 | + | 0.145084i | 0.00713184 | + | 0.00518158i | ||||
\(785\) | 8.17646 | − | 25.1646i | 0.291830 | − | 0.898161i | ||||
\(786\) | −1.63532 | − | 5.03300i | −0.0583300 | − | 0.179521i | ||||
\(787\) | −32.1342 | + | 23.3469i | −1.14546 | + | 0.832226i | −0.987871 | − | 0.155278i | \(-0.950373\pi\) |
−0.157590 | + | 0.987505i | \(0.550373\pi\) | |||||||
\(788\) | −23.5145 | −0.837670 | ||||||||
\(789\) | −13.5334 | + | 9.83259i | −0.481802 | + | 0.350049i | ||||
\(790\) | 16.2918 | − | 11.8367i | 0.579635 | − | 0.421129i | ||||
\(791\) | 15.1953 | + | 11.0400i | 0.540283 | + | 0.392539i | ||||
\(792\) | −1.92430 | + | 5.92240i | −0.0683772 | + | 0.210443i | ||||
\(793\) | 20.0167 | 0.710815 | ||||||||
\(794\) | 3.98466 | + | 2.89502i | 0.141410 | + | 0.102740i | ||||
\(795\) | 14.5494 | + | 44.7784i | 0.516013 | + | 1.58813i | ||||
\(796\) | 17.4922 | − | 12.7088i | 0.619995 | − | 0.450453i | ||||
\(797\) | 15.1366 | − | 46.5857i | 0.536166 | − | 1.65015i | −0.204949 | − | 0.978773i | \(-0.565703\pi\) |
0.741116 | − | 0.671377i | \(-0.234297\pi\) | |||||||
\(798\) | 0.0445800 | + | 0.137203i | 0.00157811 | + | 0.00485693i | ||||
\(799\) | 13.9383 | + | 42.8977i | 0.493102 | + | 1.51761i | ||||
\(800\) | 3.16147 | + | 9.73001i | 0.111775 | + | 0.344008i | ||||
\(801\) | 8.92438 | + | 27.4664i | 0.315328 | + | 0.970478i | ||||
\(802\) | 4.25689 | − | 13.1014i | 0.150316 | − | 0.462625i | ||||
\(803\) | 2.44516 | − | 1.77651i | 0.0862878 | − | 0.0626918i | ||||
\(804\) | −10.2468 | − | 31.5365i | −0.361378 | − | 1.11221i | ||||
\(805\) | −12.2573 | − | 8.90543i | −0.432012 | − | 0.313875i | ||||
\(806\) | 6.82319 | 0.240337 | ||||||||
\(807\) | 12.4768 | − | 38.3995i | 0.439202 | − | 1.35173i | ||||
\(808\) | −17.5004 | − | 12.7148i | −0.615662 | − | 0.447305i | ||||
\(809\) | −21.5628 | + | 15.6663i | −0.758106 | + | 0.550796i | −0.898329 | − | 0.439324i | \(-0.855218\pi\) |
0.140223 | + | 0.990120i | \(0.455218\pi\) | |||||||
\(810\) | −8.04347 | + | 5.84392i | −0.282619 | + | 0.205335i | ||||
\(811\) | −30.4730 | −1.07005 | −0.535026 | − | 0.844836i | \(-0.679698\pi\) | ||||
−0.535026 | + | 0.844836i | \(0.679698\pi\) | |||||||
\(812\) | 5.17958 | − | 3.76319i | 0.181768 | − | 0.132062i | ||||
\(813\) | −10.6823 | − | 32.8766i | −0.374643 | − | 1.15303i | ||||
\(814\) | 0.521930 | − | 1.60634i | 0.0182937 | − | 0.0563021i | ||||
\(815\) | −32.0200 | − | 23.2639i | −1.12161 | − | 0.814899i | ||||
\(816\) | −2.68603 | − | 1.95151i | −0.0940298 | − | 0.0683167i | ||||
\(817\) | 0.386592 | 0.0135251 | ||||||||
\(818\) | 7.79212 | − | 23.9817i | 0.272445 | − | 0.838500i | ||||
\(819\) | −14.7365 | −0.514934 | ||||||||
\(820\) | −2.71792 | − | 13.1376i | −0.0949138 | − | 0.458785i | ||||
\(821\) | −16.5347 | −0.577066 | −0.288533 | − | 0.957470i | \(-0.593167\pi\) | ||||
−0.288533 | + | 0.957470i | \(0.593167\pi\) | |||||||
\(822\) | 8.56048 | − | 26.3464i | 0.298581 | − | 0.918938i | ||||
\(823\) | 51.1357 | 1.78248 | 0.891239 | − | 0.453534i | \(-0.149837\pi\) | ||||
0.891239 | + | 0.453534i | \(0.149837\pi\) | |||||||
\(824\) | −14.2064 | − | 10.3216i | −0.494905 | − | 0.359569i | ||||
\(825\) | −2.24011 | − | 1.62753i | −0.0779906 | − | 0.0566635i | ||||
\(826\) | −0.768366 | + | 2.36479i | −0.0267349 | + | 0.0822814i | ||||
\(827\) | 0.326672 | + | 1.00539i | 0.0113595 | + | 0.0349609i | 0.956576 | − | 0.291484i | \(-0.0941491\pi\) |
−0.945216 | + | 0.326445i | \(0.894149\pi\) | |||||||
\(828\) | 30.5602 | − | 22.2033i | 1.06204 | − | 0.771617i | ||||
\(829\) | 9.76510 | 0.339156 | 0.169578 | − | 0.985517i | \(-0.445760\pi\) | ||||
0.169578 | + | 0.985517i | \(0.445760\pi\) | |||||||
\(830\) | 4.44719 | − | 3.23108i | 0.154364 | − | 0.112152i | ||||
\(831\) | −67.6343 | + | 49.1392i | −2.34621 | + | 1.70462i | ||||
\(832\) | 17.5012 | + | 12.7154i | 0.606746 | + | 0.440827i | ||||
\(833\) | −1.59980 | + | 4.92367i | −0.0554297 | + | 0.170595i | ||||
\(834\) | −10.3886 | −0.359727 | ||||||||
\(835\) | 10.8994 | + | 7.91888i | 0.377189 | + | 0.274044i | ||||
\(836\) | −0.0128957 | − | 0.0396889i | −0.000446007 | − | 0.00137267i | ||||
\(837\) | −3.02567 | + | 2.19827i | −0.104582 | + | 0.0759835i | ||||
\(838\) | −3.20295 | + | 9.85767i | −0.110644 | + | 0.340528i | ||||
\(839\) | 7.80818 | + | 24.0311i | 0.269568 | + | 0.829646i | 0.990606 | + | 0.136750i | \(0.0436656\pi\) |
−0.721037 | + | 0.692896i | \(0.756334\pi\) | |||||||
\(840\) | 4.10431 | + | 12.6318i | 0.141612 | + | 0.435837i | ||||
\(841\) | 0.132673 | + | 0.408327i | 0.00457495 | + | 0.0140802i | ||||
\(842\) | −2.09903 | − | 6.46016i | −0.0723374 | − | 0.222632i | ||||
\(843\) | −4.40089 | + | 13.5445i | −0.151575 | + | 0.466499i | ||||
\(844\) | 12.8156 | − | 9.31110i | 0.441132 | − | 0.320501i | ||||
\(845\) | 1.33770 | + | 4.11701i | 0.0460182 | + | 0.141629i | ||||
\(846\) | −23.9363 | − | 17.3907i | −0.822946 | − | 0.597905i | ||||
\(847\) | −10.6675 | −0.366540 | ||||||||
\(848\) | −0.778574 | + | 2.39620i | −0.0267363 | + | 0.0822860i | ||||
\(849\) | 7.72093 | + | 5.60958i | 0.264982 | + | 0.192520i | ||||
\(850\) | 7.00899 | − | 5.09233i | 0.240406 | − | 0.174665i | ||||
\(851\) | −22.3357 | + | 16.2278i | −0.765657 | + | 0.556282i | ||||
\(852\) | −27.5959 | −0.945421 | ||||||||
\(853\) | 5.96084 | − | 4.33080i | 0.204095 | − | 0.148284i | −0.481043 | − | 0.876697i | \(-0.659742\pi\) |
0.685138 | + | 0.728413i | \(0.259742\pi\) | |||||||
\(854\) | 1.42540 | + | 4.38692i | 0.0487760 | + | 0.150117i | ||||
\(855\) | −0.126177 | + | 0.388333i | −0.00431517 | + | 0.0132807i | ||||
\(856\) | −12.4234 | − | 9.02610i | −0.424622 | − | 0.308506i | ||||
\(857\) | 39.4752 | + | 28.6804i | 1.34845 | + | 0.979705i | 0.999087 | + | 0.0427166i | \(0.0136012\pi\) |
0.349361 | + | 0.936988i | \(0.386399\pi\) | |||||||
\(858\) | −5.32988 | −0.181959 | ||||||||
\(859\) | 11.4944 | − | 35.3763i | 0.392185 | − | 1.20702i | −0.538947 | − | 0.842340i | \(-0.681178\pi\) |
0.931132 | − | 0.364682i | \(-0.118822\pi\) | |||||||
\(860\) | 13.2084 | 0.450401 | ||||||||
\(861\) | 3.37039 | + | 16.2915i | 0.114863 | + | 0.555212i | ||||
\(862\) | −22.8718 | −0.779018 | ||||||||
\(863\) | 7.92680 | − | 24.3962i | 0.269831 | − | 0.830455i | −0.720710 | − | 0.693237i | \(-0.756184\pi\) |
0.990541 | − | 0.137218i | \(-0.0438161\pi\) | |||||||
\(864\) | −10.7941 | −0.367224 | ||||||||
\(865\) | 8.89554 | + | 6.46299i | 0.302458 | + | 0.219748i | ||||
\(866\) | −28.0681 | − | 20.3927i | −0.953794 | − | 0.692972i | ||||
\(867\) | 7.86972 | − | 24.2205i | 0.267270 | − | 0.822571i | ||||
\(868\) | −0.699449 | − | 2.15268i | −0.0237408 | − | 0.0730668i | ||||
\(869\) | 5.84410 | − | 4.24599i | 0.198247 | − | 0.144035i | ||||
\(870\) | −22.6567 | −0.768135 | ||||||||
\(871\) | 34.3756 | − | 24.9753i | 1.16477 | − | 0.846257i | ||||
\(872\) | −41.0932 | + | 29.8560i | −1.39159 | + | 1.01105i | ||||
\(873\) | −4.85107 | − | 3.52451i | −0.164184 | − | 0.119286i | ||||
\(874\) | 0.146430 | − | 0.450665i | 0.00495306 | − | 0.0152440i | ||||
\(875\) | −12.1578 | −0.411009 | ||||||||
\(876\) | 13.0028 | + | 9.44706i | 0.439323 | + | 0.319187i | ||||
\(877\) | 1.03048 | + | 3.17148i | 0.0347968 | + | 0.107093i | 0.966946 | − | 0.254980i | \(-0.0820689\pi\) |
−0.932150 | + | 0.362074i | \(0.882069\pi\) | |||||||
\(878\) | −15.2844 | + | 11.1048i | −0.515824 | + | 0.374768i | ||||
\(879\) | −16.8332 | + | 51.8073i | −0.567770 | + | 1.74742i | ||||
\(880\) | 0.0780817 | + | 0.240311i | 0.00263213 | + | 0.00810087i | ||||
\(881\) | −11.4803 | − | 35.3328i | −0.386782 | − | 1.19039i | −0.935179 | − | 0.354175i | \(-0.884762\pi\) |
0.548397 | − | 0.836218i | \(-0.315238\pi\) | |||||||
\(882\) | −1.04939 | − | 3.22968i | −0.0353347 | − | 0.108749i | ||||
\(883\) | 10.6667 | + | 32.8289i | 0.358964 | + | 1.10478i | 0.953675 | + | 0.300839i | \(0.0972667\pi\) |
−0.594710 | + | 0.803940i | \(0.702733\pi\) | |||||||
\(884\) | −7.41843 | + | 22.8316i | −0.249509 | + | 0.767909i | ||||
\(885\) | −10.2478 | + | 7.44544i | −0.344475 | + | 0.250276i | ||||
\(886\) | −0.334026 | − | 1.02803i | −0.0112218 | − | 0.0345373i | ||||
\(887\) | 40.4800 | + | 29.4104i | 1.35919 | + | 0.987506i | 0.998496 | + | 0.0548201i | \(0.0174585\pi\) |
0.360689 | + | 0.932686i | \(0.382541\pi\) | |||||||
\(888\) | 24.2027 | 0.812188 | ||||||||
\(889\) | −1.46553 | + | 4.51044i | −0.0491523 | + | 0.151275i | ||||
\(890\) | 10.0138 | + | 7.27545i | 0.335663 | + | 0.243874i | ||||
\(891\) | −2.88531 | + | 2.09630i | −0.0966616 | + | 0.0702288i | ||||
\(892\) | −14.6159 | + | 10.6191i | −0.489377 | + | 0.355553i | ||||
\(893\) | 0.534286 | 0.0178792 | ||||||||
\(894\) | 18.4615 | − | 13.4131i | 0.617445 | − | 0.448600i | ||||
\(895\) | −7.59116 | − | 23.3632i | −0.253745 | − | 0.780946i | ||||
\(896\) | 1.88062 | − | 5.78794i | 0.0628270 | − | 0.193362i | ||||
\(897\) | 70.4832 | + | 51.2091i | 2.35337 | + | 1.70982i | ||||
\(898\) | 14.3792 | + | 10.4471i | 0.479841 | + | 0.348625i | ||||
\(899\) | 10.4044 | 0.347006 | ||||||||
\(900\) | 2.52800 | − | 7.78038i | 0.0842666 | − | 0.259346i | ||||
\(901\) | −52.8443 | −1.76050 | ||||||||
\(902\) | 0.677266 | + | 3.27370i | 0.0225505 | + | 0.109002i | ||||
\(903\) | −16.3792 | −0.545067 | ||||||||
\(904\) | −16.7127 | + | 51.4363i | −0.555855 | + | 1.71075i | ||||
\(905\) | 41.7054 | 1.38633 | ||||||||
\(906\) | 8.47450 | + | 6.15709i | 0.281547 | + | 0.204556i | ||||
\(907\) | 24.3206 | + | 17.6699i | 0.807551 | + | 0.586720i | 0.913120 | − | 0.407692i | \(-0.133666\pi\) |
−0.105569 | + | 0.994412i | \(0.533666\pi\) | |||||||
\(908\) | −5.05207 | + | 15.5487i | −0.167659 | + | 0.516001i | ||||
\(909\) | 8.70671 | + | 26.7965i | 0.288783 | + | 0.888783i | ||||
\(910\) | −5.10971 | + | 3.71242i | −0.169385 | + | 0.123066i | ||||
\(911\) | −6.01087 | −0.199149 | −0.0995745 | − | 0.995030i | \(-0.531748\pi\) | ||||
−0.0995745 | + | 0.995030i | \(0.531748\pi\) | |||||||
\(912\) | −0.0318168 | + | 0.0231163i | −0.00105356 | + | 0.000765456i | ||||
\(913\) | 1.59528 | − | 1.15904i | 0.0527959 | − | 0.0383585i | ||||
\(914\) | −6.35209 | − | 4.61507i | −0.210109 | − | 0.152653i | ||||
\(915\) | −7.26142 | + | 22.3484i | −0.240055 | + | 0.738814i | ||||
\(916\) | 30.2416 | 0.999210 | ||||||||
\(917\) | −1.81991 | − | 1.32224i | −0.0600986 | − | 0.0436642i | ||||
\(918\) | 2.82463 | + | 8.69332i | 0.0932267 | + | 0.286922i | ||||
\(919\) | 22.9371 | − | 16.6648i | 0.756627 | − | 0.549721i | −0.141247 | − | 0.989974i | \(-0.545111\pi\) |
0.897874 | + | 0.440253i | \(0.145111\pi\) | |||||||
\(920\) | 13.4812 | − | 41.4910i | 0.444464 | − | 1.36792i | ||||
\(921\) | −16.2921 | − | 50.1420i | −0.536843 | − | 1.65223i | ||||
\(922\) | 9.89127 | + | 30.4422i | 0.325752 | + | 1.00256i | ||||
\(923\) | −10.9273 | − | 33.6307i | −0.359676 | − | 1.10697i | ||||
\(924\) | 0.546368 | + | 1.68155i | 0.0179742 | + | 0.0553189i | ||||
\(925\) | −1.84765 | + | 5.68649i | −0.0607504 | + | 0.186971i | ||||
\(926\) | 1.97630 | − | 1.43587i | 0.0649453 | − | 0.0471856i | ||||
\(927\) | 7.06791 | + | 21.7528i | 0.232141 | + | 0.714456i | ||||
\(928\) | 24.2940 | + | 17.6506i | 0.797491 | + | 0.579411i | ||||
\(929\) | −17.1532 | −0.562777 | −0.281389 | − | 0.959594i | \(-0.590795\pi\) | ||||
−0.281389 | + | 0.959594i | \(0.590795\pi\) | |||||||
\(930\) | −2.47523 | + | 7.61798i | −0.0811660 | + | 0.249803i | ||||
\(931\) | 0.0496119 | + | 0.0360452i | 0.00162596 | + | 0.00118133i | ||||
\(932\) | 10.2827 | − | 7.47084i | 0.336822 | − | 0.244716i | ||||
\(933\) | 22.5827 | − | 16.4073i | 0.739325 | − | 0.537151i | ||||
\(934\) | 1.07362 | 0.0351300 | ||||||||
\(935\) | −4.28751 | + | 3.11506i | −0.140216 | + | 0.101873i | ||||
\(936\) | −13.1125 | − | 40.3563i | −0.428597 | − | 1.31909i | ||||
\(937\) | −9.70746 | + | 29.8765i | −0.317129 | + | 0.976022i | 0.657740 | + | 0.753245i | \(0.271512\pi\) |
−0.974869 | + | 0.222778i | \(0.928488\pi\) | |||||||
\(938\) | 7.92155 | + | 5.75534i | 0.258648 | + | 0.187919i | ||||
\(939\) | −9.18828 | − | 6.67567i | −0.299848 | − | 0.217852i | ||||
\(940\) | 18.2545 | 0.595396 | ||||||||
\(941\) | 9.78415 | − | 30.1125i | 0.318954 | − | 0.981640i | −0.655142 | − | 0.755506i | \(-0.727391\pi\) |
0.974096 | − | 0.226134i | \(-0.0726088\pi\) | |||||||
\(942\) | −35.0618 | −1.14238 | ||||||||
\(943\) | 22.4972 | − | 49.7991i | 0.732610 | − | 1.62168i | ||||
\(944\) | −0.677840 | −0.0220618 | ||||||||
\(945\) | 1.06978 | − | 3.29246i | 0.0348001 | − | 0.107104i | ||||
\(946\) | −3.29134 | −0.107011 | ||||||||
\(947\) | −21.7835 | − | 15.8267i | −0.707870 | − | 0.514298i | 0.174616 | − | 0.984637i | \(-0.444132\pi\) |
−0.882486 | + | 0.470339i | \(0.844132\pi\) | |||||||
\(948\) | 31.0775 | + | 22.5791i | 1.00935 | + | 0.733336i | ||||
\(949\) | −6.36422 | + | 19.5871i | −0.206591 | + | 0.635823i | ||||
\(950\) | −0.0317122 | − | 0.0976000i | −0.00102888 | − | 0.00316656i | ||||
\(951\) | −71.8989 | + | 52.2376i | −2.33148 | + | 1.69392i | ||||
\(952\) | −14.9071 | −0.483143 | ||||||||
\(953\) | −23.5773 | + | 17.1299i | −0.763745 | + | 0.554893i | −0.900057 | − | 0.435773i | \(-0.856475\pi\) |
0.136312 | + | 0.990666i | \(0.456475\pi\) | |||||||
\(954\) | 28.0431 | − | 20.3745i | 0.907929 | − | 0.659649i | ||||
\(955\) | −0.750486 | − | 0.545260i | −0.0242851 | − | 0.0176442i | ||||
\(956\) | 0.556552 | − | 1.71289i | 0.0180002 | − | 0.0553989i | ||||
\(957\) | −8.12730 | −0.262718 | ||||||||
\(958\) | −1.89608 | − | 1.37758i | −0.0612596 | − | 0.0445077i | ||||
\(959\) | −3.63889 | − | 11.1994i | −0.117506 | − | 0.361646i | ||||
\(960\) | −20.5454 | + | 14.9271i | −0.663100 | + | 0.481770i | ||||
\(961\) | −8.44285 | + | 25.9844i | −0.272350 | + | 0.838207i | ||||
\(962\) | 3.55653 | + | 10.9459i | 0.114667 | + | 0.352909i | ||||
\(963\) | 6.18080 | + | 19.0226i | 0.199174 | + | 0.612993i | ||||
\(964\) | 9.09347 | + | 27.9868i | 0.292881 | + | 0.901395i | ||||
\(965\) | 3.67061 | + | 11.2970i | 0.118161 | + | 0.363662i | ||||
\(966\) | −6.20398 | + | 19.0939i | −0.199610 | + | 0.614336i | ||||
\(967\) | −12.9251 | + | 9.39067i | −0.415645 | + | 0.301983i | −0.775883 | − | 0.630877i | \(-0.782695\pi\) |
0.360238 | + | 0.932860i | \(0.382695\pi\) | |||||||
\(968\) | −9.49198 | − | 29.2133i | −0.305084 | − | 0.938952i | ||||
\(969\) | −0.667325 | − | 0.484840i | −0.0214376 | − | 0.0155753i | ||||
\(970\) | −2.56995 | −0.0825162 | ||||||||
\(971\) | 4.69197 | − | 14.4404i | 0.150573 | − | 0.463415i | −0.847113 | − | 0.531413i | \(-0.821661\pi\) |
0.997685 | + | 0.0679983i | \(0.0216612\pi\) | |||||||
\(972\) | −20.9289 | − | 15.2057i | −0.671295 | − | 0.487724i | ||||
\(973\) | −3.57260 | + | 2.59565i | −0.114532 | + | 0.0832126i | ||||
\(974\) | 12.8780 | − | 9.35642i | 0.412638 | − | 0.299799i | ||||
\(975\) | 18.8679 | 0.604258 | ||||||||
\(976\) | −1.01731 | + | 0.739117i | −0.0325632 | + | 0.0236586i | ||||
\(977\) | −6.54203 | − | 20.1343i | −0.209298 | − | 0.644153i | −0.999509 | − | 0.0313189i | \(-0.990029\pi\) |
0.790211 | − | 0.612834i | \(-0.209971\pi\) | |||||||
\(978\) | −16.2068 | + | 49.8795i | −0.518237 | + | 1.59497i | ||||
\(979\) | 3.59210 | + | 2.60981i | 0.114804 | + | 0.0834100i | ||||
\(980\) | 1.69505 | + | 1.23152i | 0.0541463 | + | 0.0393396i | ||||
\(981\) | 66.1597 | 2.11232 | ||||||||
\(982\) | 3.59679 | − | 11.0698i | 0.114778 | − | 0.353250i | ||||
\(983\) | −2.71318 | −0.0865369 | −0.0432685 | − | 0.999063i | \(-0.513777\pi\) | ||||
−0.0432685 | + | 0.999063i | \(0.513777\pi\) | |||||||
\(984\) | −41.6157 | + | 23.7261i | −1.32666 | + | 0.756362i | ||||
\(985\) | 35.3726 | 1.12706 | ||||||||
\(986\) | 7.85806 | − | 24.1846i | 0.250252 | − | 0.770195i | ||||
\(987\) | −22.6368 | −0.720537 | ||||||||
\(988\) | 0.230056 | + | 0.167145i | 0.00731905 | + | 0.00531760i | ||||
\(989\) | 43.5252 | + | 31.6229i | 1.38402 | + | 1.00555i | ||||
\(990\) | 1.07424 | − | 3.30616i | 0.0341415 | − | 0.105077i | ||||
\(991\) | −15.6582 | − | 48.1911i | −0.497400 | − | 1.53084i | −0.813183 | − | 0.582008i | \(-0.802267\pi\) |
0.315783 | − | 0.948831i | \(-0.397733\pi\) | |||||||
\(992\) | 8.58887 | − | 6.24018i | 0.272697 | − | 0.198126i | ||||
\(993\) | 55.1216 | 1.74923 | ||||||||
\(994\) | 6.59245 | − | 4.78970i | 0.209100 | − | 0.151920i | ||||
\(995\) | −26.3133 | + | 19.1177i | −0.834187 | + | 0.606073i | ||||
\(996\) | 8.48328 | + | 6.16347i | 0.268803 | + | 0.195297i | ||||
\(997\) | 8.15750 | − | 25.1062i | 0.258350 | − | 0.795121i | −0.734801 | − | 0.678283i | \(-0.762724\pi\) |
0.993151 | − | 0.116838i | \(-0.0372758\pi\) | |||||||
\(998\) | 30.9204 | 0.978767 | ||||||||
\(999\) | −5.10360 | − | 3.70798i | −0.161471 | − | 0.117315i |
(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 | 287.2.h.c.57.4 | ✓ | 40 | |
41.18 | even | 5 | inner | 287.2.h.c.141.4 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.h.c.57.4 | ✓ | 40 | 1.1 | even | 1 | trivial | |
287.2.h.c.141.4 | yes | 40 | 41.18 | even | 5 | inner |