Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.10 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.b.659.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.730817 | − | 1.57032i | −0.421938 | − | 0.906625i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 2.23496 | − | 0.0702463i | 0.999506 | − | 0.0314151i | ||||
\(6\) | 1.45033 | − | 0.946859i | 0.592095 | − | 0.386553i | ||||
\(7\) | 3.21136 | − | 2.06381i | 1.21378 | − | 0.780048i | 0.232492 | − | 0.972598i | \(-0.425312\pi\) |
0.981287 | + | 0.192550i | \(0.0616758\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −1.93181 | + | 2.29523i | −0.643937 | + | 0.765078i | ||||
\(10\) | 0.387600 | + | 2.20222i | 0.122570 | + | 0.696403i | ||||
\(11\) | 0.661762 | − | 4.60265i | 0.199529 | − | 1.38775i | −0.606127 | − | 0.795368i | \(-0.707278\pi\) |
0.805656 | − | 0.592384i | \(-0.201813\pi\) | |||||||
\(12\) | 1.14362 | + | 1.30082i | 0.330136 | + | 0.375513i | ||||
\(13\) | −1.07552 | + | 1.67355i | −0.298297 | + | 0.464159i | −0.957756 | − | 0.287581i | \(-0.907149\pi\) |
0.659460 | + | 0.751740i | \(0.270785\pi\) | |||||||
\(14\) | 2.49983 | + | 2.88496i | 0.668108 | + | 0.771038i | ||||
\(15\) | −1.74366 | − | 3.45827i | −0.450211 | − | 0.892922i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −0.740783 | + | 2.52288i | −0.179666 | + | 0.611887i | 0.819576 | + | 0.572970i | \(0.194209\pi\) |
−0.999242 | + | 0.0389169i | \(0.987609\pi\) | |||||||
\(18\) | −2.54680 | − | 1.58550i | −0.600286 | − | 0.373707i | ||||
\(19\) | −1.45827 | − | 4.96642i | −0.334550 | − | 1.13937i | −0.939340 | − | 0.342988i | \(-0.888561\pi\) |
0.604789 | − | 0.796386i | \(-0.293257\pi\) | |||||||
\(20\) | −2.12464 | + | 0.697063i | −0.475084 | + | 0.155868i | ||||
\(21\) | −5.58776 | − | 3.53459i | −1.21935 | − | 0.771310i | ||||
\(22\) | 4.64998 | 0.991380 | ||||||||
\(23\) | −0.832592 | + | 4.72301i | −0.173607 | + | 0.984815i | ||||
\(24\) | −1.12482 | + | 1.31711i | −0.229603 | + | 0.268854i | ||||
\(25\) | 4.99013 | − | 0.313996i | 0.998026 | − | 0.0627992i | ||||
\(26\) | −1.80958 | − | 0.826406i | −0.354887 | − | 0.162071i | ||||
\(27\) | 5.01606 | + | 1.35617i | 0.965340 | + | 0.260994i | ||||
\(28\) | −2.49983 | + | 2.88496i | −0.472424 | + | 0.545206i | ||||
\(29\) | 0.756135 | − | 2.57516i | 0.140411 | − | 0.478195i | −0.859020 | − | 0.511943i | \(-0.828926\pi\) |
0.999430 | + | 0.0337477i | \(0.0107443\pi\) | |||||||
\(30\) | 3.17492 | − | 2.21808i | 0.579659 | − | 0.404963i | ||||
\(31\) | −2.00737 | − | 4.39553i | −0.360535 | − | 0.789461i | −0.999791 | − | 0.0204667i | \(-0.993485\pi\) |
0.639256 | − | 0.768994i | \(-0.279242\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | −7.71127 | + | 2.32452i | −1.34236 | + | 0.404647i | ||||
\(34\) | −2.60262 | − | 0.374200i | −0.446346 | − | 0.0641748i | ||||
\(35\) | 7.03229 | − | 4.83814i | 1.18867 | − | 0.817794i | ||||
\(36\) | 1.20692 | − | 2.74652i | 0.201153 | − | 0.457753i | ||||
\(37\) | −6.21744 | − | 7.17531i | −1.02214 | − | 1.17961i | −0.983601 | − | 0.180356i | \(-0.942275\pi\) |
−0.0385393 | − | 0.999257i | \(-0.512270\pi\) | |||||||
\(38\) | 4.70833 | − | 2.15022i | 0.763792 | − | 0.348812i | ||||
\(39\) | 3.41402 | + | 0.465859i | 0.546680 | + | 0.0745971i | ||||
\(40\) | −0.992336 | − | 2.00381i | −0.156902 | − | 0.316831i | ||||
\(41\) | 2.30046 | + | 1.99336i | 0.359271 | + | 0.311310i | 0.815728 | − | 0.578435i | \(-0.196336\pi\) |
−0.456457 | + | 0.889745i | \(0.650882\pi\) | |||||||
\(42\) | 2.70339 | − | 6.03391i | 0.417142 | − | 0.931053i | ||||
\(43\) | 1.31761 | − | 2.88517i | 0.200934 | − | 0.439984i | −0.782162 | − | 0.623075i | \(-0.785883\pi\) |
0.983096 | + | 0.183091i | \(0.0586103\pi\) | |||||||
\(44\) | 0.661762 | + | 4.60265i | 0.0997643 | + | 0.693876i | ||||
\(45\) | −4.15630 | + | 5.26547i | −0.619584 | + | 0.784930i | ||||
\(46\) | −4.79342 | − | 0.151963i | −0.706752 | − | 0.0224058i | ||||
\(47\) | 10.1757 | 1.48428 | 0.742140 | − | 0.670245i | \(-0.233811\pi\) | ||||
0.742140 | + | 0.670245i | \(0.233811\pi\) | |||||||
\(48\) | −1.46378 | − | 0.925928i | −0.211279 | − | 0.133646i | ||||
\(49\) | 3.14558 | − | 6.88786i | 0.449369 | − | 0.983980i | ||||
\(50\) | 1.02097 | + | 4.89465i | 0.144387 | + | 0.692208i | ||||
\(51\) | 4.50310 | − | 0.680494i | 0.630560 | − | 0.0952883i | ||||
\(52\) | 0.560465 | − | 1.90877i | 0.0777224 | − | 0.264698i | ||||
\(53\) | 6.07154 | + | 9.44750i | 0.833990 | + | 1.29771i | 0.952432 | + | 0.304753i | \(0.0985738\pi\) |
−0.118442 | + | 0.992961i | \(0.537790\pi\) | |||||||
\(54\) | −0.628503 | + | 5.15800i | −0.0855284 | + | 0.701915i | ||||
\(55\) | 1.15569 | − | 10.3333i | 0.155834 | − | 1.39334i | ||||
\(56\) | −3.21136 | − | 2.06381i | −0.429136 | − | 0.275789i | ||||
\(57\) | −6.73313 | + | 5.91950i | −0.891825 | + | 0.784056i | ||||
\(58\) | 2.65656 | + | 0.381955i | 0.348823 | + | 0.0501532i | ||||
\(59\) | −0.504216 | + | 0.784576i | −0.0656434 | + | 0.102143i | −0.872524 | − | 0.488572i | \(-0.837518\pi\) |
0.806880 | + | 0.590715i | \(0.201154\pi\) | |||||||
\(60\) | 2.64734 | + | 2.82694i | 0.341770 | + | 0.364957i | ||||
\(61\) | 11.0649 | − | 5.05319i | 1.41672 | − | 0.646994i | 0.447747 | − | 0.894160i | \(-0.352227\pi\) |
0.968973 | + | 0.247166i | \(0.0794992\pi\) | |||||||
\(62\) | 4.06511 | − | 2.61249i | 0.516270 | − | 0.331786i | ||||
\(63\) | −1.46680 | + | 11.3577i | −0.184799 | + | 1.43094i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −2.28620 | + | 3.81587i | −0.283568 | + | 0.473300i | ||||
\(66\) | −3.39829 | − | 7.30196i | −0.418300 | − | 0.898810i | ||||
\(67\) | 0.387278 | + | 2.69357i | 0.0473135 | + | 0.329073i | 0.999707 | + | 0.0242014i | \(0.00770430\pi\) |
−0.952394 | + | 0.304871i | \(0.901387\pi\) | |||||||
\(68\) | − | 2.62938i | − | 0.318860i | ||||||
\(69\) | 8.02511 | − | 2.14422i | 0.966109 | − | 0.258134i | ||||
\(70\) | 5.78969 | + | 6.27218i | 0.692000 | + | 0.749668i | ||||
\(71\) | −5.01334 | + | 0.720810i | −0.594974 | + | 0.0855444i | −0.433222 | − | 0.901287i | \(-0.642623\pi\) |
−0.161752 | + | 0.986831i | \(0.551714\pi\) | |||||||
\(72\) | 2.89032 | + | 0.803763i | 0.340628 | + | 0.0947244i | ||||
\(73\) | −2.00152 | − | 6.81656i | −0.234261 | − | 0.797818i | −0.989769 | − | 0.142679i | \(-0.954428\pi\) |
0.755508 | − | 0.655139i | \(-0.227390\pi\) | |||||||
\(74\) | 6.21744 | − | 7.17531i | 0.722763 | − | 0.834113i | ||||
\(75\) | −4.13995 | − | 7.60663i | −0.478040 | − | 0.878338i | ||||
\(76\) | 2.79840 | + | 4.35440i | 0.320999 | + | 0.499484i | ||||
\(77\) | −7.37387 | − | 16.1465i | −0.840330 | − | 1.84007i | ||||
\(78\) | 0.0247480 | + | 3.44557i | 0.00280216 | + | 0.390133i | ||||
\(79\) | −4.40651 | + | 6.85667i | −0.495772 | + | 0.771436i | −0.995502 | − | 0.0947456i | \(-0.969796\pi\) |
0.499730 | + | 0.866181i | \(0.333433\pi\) | |||||||
\(80\) | 1.84219 | − | 1.26741i | 0.205964 | − | 0.141701i | ||||
\(81\) | −1.53621 | − | 8.86792i | −0.170690 | − | 0.985325i | ||||
\(82\) | −1.64568 | + | 2.56073i | −0.181735 | + | 0.282785i | ||||
\(83\) | 5.67839 | − | 4.92035i | 0.623284 | − | 0.540079i | −0.284949 | − | 0.958543i | \(-0.591977\pi\) |
0.908233 | + | 0.418464i | \(0.137431\pi\) | |||||||
\(84\) | 6.35723 | + | 1.81716i | 0.693631 | + | 0.198268i | ||||
\(85\) | −1.47840 | + | 5.69057i | −0.160355 | + | 0.617229i | ||||
\(86\) | 3.04332 | + | 0.893599i | 0.328169 | + | 0.0963592i | ||||
\(87\) | −4.59642 | + | 0.694597i | −0.492788 | + | 0.0744686i | ||||
\(88\) | −4.46163 | + | 1.31005i | −0.475611 | + | 0.139652i | ||||
\(89\) | −5.75374 | + | 12.5989i | −0.609895 | + | 1.33548i | 0.312750 | + | 0.949835i | \(0.398750\pi\) |
−0.922646 | + | 0.385649i | \(0.873978\pi\) | |||||||
\(90\) | −5.80338 | − | 3.36464i | −0.611730 | − | 0.354664i | ||||
\(91\) | 7.59404i | 0.796071i | ||||||||
\(92\) | −0.531759 | − | 4.76626i | −0.0554397 | − | 0.496917i | ||||
\(93\) | −5.43537 | + | 6.36455i | −0.563622 | + | 0.659973i | ||||
\(94\) | 1.44815 | + | 10.0721i | 0.149366 | + | 1.03886i | ||||
\(95\) | −3.60806 | − | 10.9973i | −0.370179 | − | 1.12830i | ||||
\(96\) | 0.708185 | − | 1.58066i | 0.0722789 | − | 0.161325i | ||||
\(97\) | −2.74356 | + | 3.16623i | −0.278566 | + | 0.321482i | −0.877741 | − | 0.479136i | \(-0.840950\pi\) |
0.599175 | + | 0.800618i | \(0.295496\pi\) | |||||||
\(98\) | 7.26541 | + | 2.13332i | 0.733918 | + | 0.215498i | ||||
\(99\) | 9.28577 | + | 10.4104i | 0.933255 | + | 1.04628i | ||||
\(100\) | −4.69953 | + | 1.70716i | −0.469953 | + | 0.170716i | ||||
\(101\) | −4.40055 | + | 3.81310i | −0.437872 | + | 0.379418i | −0.845716 | − | 0.533634i | \(-0.820826\pi\) |
0.407844 | + | 0.913052i | \(0.366281\pi\) | |||||||
\(102\) | 1.31443 | + | 4.36042i | 0.130148 | + | 0.431746i | ||||
\(103\) | −1.95666 | + | 13.6089i | −0.192795 | + | 1.34092i | 0.631770 | + | 0.775156i | \(0.282329\pi\) |
−0.824566 | + | 0.565766i | \(0.808581\pi\) | |||||||
\(104\) | 1.96910 | + | 0.283114i | 0.193086 | + | 0.0277616i | ||||
\(105\) | −12.7367 | − | 7.50716i | −1.24298 | − | 0.732624i | ||||
\(106\) | −8.48727 | + | 7.35426i | −0.824356 | + | 0.714309i | ||||
\(107\) | −17.1432 | + | 7.82903i | −1.65729 | + | 0.756861i | −0.657299 | + | 0.753630i | \(0.728301\pi\) |
−0.999995 | + | 0.00323103i | \(0.998972\pi\) | |||||||
\(108\) | −5.19495 | + | 0.111955i | −0.499884 | + | 0.0107728i | ||||
\(109\) | 2.27163 | − | 7.73645i | 0.217582 | − | 0.741017i | −0.776280 | − | 0.630389i | \(-0.782895\pi\) |
0.993862 | − | 0.110628i | \(-0.0352864\pi\) | |||||||
\(110\) | 10.3925 | − | 0.326644i | 0.990891 | − | 0.0311443i | ||||
\(111\) | −6.72372 | + | 15.0072i | −0.638187 | + | 1.42442i | ||||
\(112\) | 1.58578 | − | 3.47238i | 0.149842 | − | 0.328109i | ||||
\(113\) | −7.67503 | + | 1.10350i | −0.722006 | + | 0.103809i | −0.493515 | − | 0.869737i | \(-0.664288\pi\) |
−0.228491 | + | 0.973546i | \(0.573379\pi\) | |||||||
\(114\) | −6.81747 | − | 5.82217i | −0.638515 | − | 0.545296i | ||||
\(115\) | −1.52904 | + | 10.6142i | −0.142584 | + | 0.989783i | ||||
\(116\) | 2.68387i | 0.249191i | ||||||||
\(117\) | −1.76347 | − | 5.70156i | −0.163033 | − | 0.527109i | ||||
\(118\) | −0.848347 | − | 0.387427i | −0.0780967 | − | 0.0356656i | ||||
\(119\) | 2.82783 | + | 9.63069i | 0.259226 | + | 0.882844i | ||||
\(120\) | −2.42141 | + | 3.02271i | −0.221044 | + | 0.275934i | ||||
\(121\) | −10.1921 | − | 2.99266i | −0.926552 | − | 0.272060i | ||||
\(122\) | 6.57646 | + | 10.2332i | 0.595405 | + | 0.926468i | ||||
\(123\) | 1.44900 | − | 5.06924i | 0.130652 | − | 0.457078i | ||||
\(124\) | 3.16442 | + | 3.65194i | 0.284174 | + | 0.327954i | ||||
\(125\) | 11.1307 | − | 1.05231i | 0.995561 | − | 0.0941213i | ||||
\(126\) | −11.4509 | + | 0.164502i | −1.02012 | + | 0.0146550i | ||||
\(127\) | 14.3954 | + | 2.06975i | 1.27739 | + | 0.183661i | 0.747417 | − | 0.664355i | \(-0.231294\pi\) |
0.529971 | + | 0.848016i | \(0.322203\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | −5.49357 | + | 0.0394579i | −0.483682 | + | 0.00347408i | ||||
\(130\) | −4.10239 | − | 1.71987i | −0.359803 | − | 0.150843i | ||||
\(131\) | 2.29103 | + | 3.56492i | 0.200169 | + | 0.311468i | 0.926797 | − | 0.375562i | \(-0.122550\pi\) |
−0.726629 | + | 0.687030i | \(0.758914\pi\) | |||||||
\(132\) | 6.74401 | − | 4.40288i | 0.586991 | − | 0.383221i | ||||
\(133\) | −14.9328 | − | 12.9393i | −1.29484 | − | 1.12198i | ||||
\(134\) | −2.61104 | + | 0.766671i | −0.225560 | + | 0.0662303i | ||||
\(135\) | 11.3060 | + | 2.67862i | 0.973063 | + | 0.230539i | ||||
\(136\) | 2.60262 | − | 0.374200i | 0.223173 | − | 0.0320874i | ||||
\(137\) | − | 2.11258i | − | 0.180490i | −0.995920 | − | 0.0902448i | \(-0.971235\pi\) | ||
0.995920 | − | 0.0902448i | \(-0.0287649\pi\) | |||||||
\(138\) | 3.26449 | + | 7.63827i | 0.277892 | + | 0.650213i | ||||
\(139\) | −3.98807 | −0.338264 | −0.169132 | − | 0.985593i | \(-0.554096\pi\) | ||||
−0.169132 | + | 0.985593i | \(0.554096\pi\) | |||||||
\(140\) | −5.38437 | + | 6.62338i | −0.455063 | + | 0.559778i | ||||
\(141\) | −7.43658 | − | 15.9791i | −0.626273 | − | 1.34568i | ||||
\(142\) | −1.42695 | − | 4.85973i | −0.119747 | − | 0.407820i | ||||
\(143\) | 6.99102 | + | 6.05775i | 0.584618 | + | 0.506575i | ||||
\(144\) | −0.384246 | + | 2.97529i | −0.0320205 | + | 0.247941i | ||||
\(145\) | 1.50904 | − | 5.80850i | 0.125319 | − | 0.482370i | ||||
\(146\) | 6.46233 | − | 2.95125i | 0.534826 | − | 0.244247i | ||||
\(147\) | −13.1150 | + | 0.0941993i | −1.08171 | + | 0.00776943i | ||||
\(148\) | 7.98711 | + | 5.13300i | 0.656536 | + | 0.421930i | ||||
\(149\) | −1.54016 | + | 10.7120i | −0.126175 | + | 0.877564i | 0.824165 | + | 0.566349i | \(0.191645\pi\) |
−0.950340 | + | 0.311214i | \(0.899264\pi\) | |||||||
\(150\) | 6.94003 | − | 5.18035i | 0.566651 | − | 0.422974i | ||||
\(151\) | 7.52777 | + | 4.83781i | 0.612601 | + | 0.393695i | 0.809832 | − | 0.586662i | \(-0.199558\pi\) |
−0.197230 | + | 0.980357i | \(0.563195\pi\) | |||||||
\(152\) | −3.91182 | + | 3.38961i | −0.317291 | + | 0.274934i | ||||
\(153\) | −4.35954 | − | 6.57399i | −0.352448 | − | 0.531476i | ||||
\(154\) | 14.9328 | − | 9.59670i | 1.20332 | − | 0.773324i | ||||
\(155\) | −4.79518 | − | 9.68285i | −0.385158 | − | 0.777745i | ||||
\(156\) | −3.40697 | + | 0.514851i | −0.272776 | + | 0.0412211i | ||||
\(157\) | −12.8459 | + | 3.77191i | −1.02522 | + | 0.301031i | −0.750765 | − | 0.660570i | \(-0.770315\pi\) |
−0.274453 | + | 0.961601i | \(0.588497\pi\) | |||||||
\(158\) | −7.41399 | − | 3.38586i | −0.589826 | − | 0.269364i | ||||
\(159\) | 10.3984 | − | 16.4387i | 0.824648 | − | 1.30367i | ||||
\(160\) | 1.51668 | + | 1.64307i | 0.119904 | + | 0.129896i | ||||
\(161\) | 7.07366 | + | 16.8856i | 0.557482 | + | 1.33077i | ||||
\(162\) | 8.55904 | − | 2.78261i | 0.672461 | − | 0.218622i | ||||
\(163\) | −19.0949 | + | 2.74543i | −1.49563 | + | 0.215039i | −0.841051 | − | 0.540956i | \(-0.818063\pi\) |
−0.654578 | + | 0.755995i | \(0.727154\pi\) | |||||||
\(164\) | −2.76887 | − | 1.26450i | −0.216212 | − | 0.0987409i | ||||
\(165\) | −17.0711 | + | 5.73691i | −1.32898 | + | 0.446618i | ||||
\(166\) | 5.67839 | + | 4.92035i | 0.440728 | + | 0.381893i | ||||
\(167\) | 13.8739 | + | 4.07375i | 1.07360 | + | 0.315236i | 0.770314 | − | 0.637664i | \(-0.220099\pi\) |
0.303282 | + | 0.952901i | \(0.401918\pi\) | |||||||
\(168\) | −0.893933 | + | 6.55113i | −0.0689684 | + | 0.505431i | ||||
\(169\) | 3.75639 | + | 8.22534i | 0.288953 | + | 0.632718i | ||||
\(170\) | −5.84305 | − | 0.653500i | −0.448141 | − | 0.0501212i | ||||
\(171\) | 14.2162 | + | 6.24711i | 1.08714 | + | 0.477728i | ||||
\(172\) | −0.451394 | + | 3.13951i | −0.0344185 | + | 0.239386i | ||||
\(173\) | −1.28146 | + | 8.91273i | −0.0974274 | + | 0.677622i | 0.881315 | + | 0.472529i | \(0.156659\pi\) |
−0.978742 | + | 0.205093i | \(0.934250\pi\) | |||||||
\(174\) | −1.34167 | − | 4.45078i | −0.101711 | − | 0.337413i | ||||
\(175\) | 15.3771 | − | 11.3071i | 1.16240 | − | 0.854733i | ||||
\(176\) | −1.93167 | − | 4.22977i | −0.145605 | − | 0.318831i | ||||
\(177\) | 1.60053 | + | 0.218399i | 0.120303 | + | 0.0164159i | ||||
\(178\) | −13.2895 | − | 3.90216i | −0.996093 | − | 0.292479i | ||||
\(179\) | 0.181083 | + | 0.156909i | 0.0135348 | + | 0.0117279i | 0.661602 | − | 0.749855i | \(-0.269877\pi\) |
−0.648067 | + | 0.761583i | \(0.724422\pi\) | |||||||
\(180\) | 2.50448 | − | 6.22315i | 0.186673 | − | 0.463846i | ||||
\(181\) | 14.6093 | + | 6.67184i | 1.08590 | + | 0.495914i | 0.876247 | − | 0.481862i | \(-0.160039\pi\) |
0.209653 | + | 0.977776i | \(0.432767\pi\) | |||||||
\(182\) | −7.51674 | + | 1.08074i | −0.557178 | + | 0.0801101i | ||||
\(183\) | −16.0216 | − | 13.6825i | −1.18435 | − | 1.01144i | ||||
\(184\) | 4.64207 | − | 1.20466i | 0.342218 | − | 0.0888084i | ||||
\(185\) | −14.3998 | − | 15.5998i | −1.05869 | − | 1.14692i | ||||
\(186\) | −7.07330 | − | 4.47428i | −0.518640 | − | 0.328070i | ||||
\(187\) | 11.1217 | + | 5.07911i | 0.813299 | + | 0.371421i | ||||
\(188\) | −9.76352 | + | 2.86683i | −0.712078 | + | 0.209085i | ||||
\(189\) | 18.9072 | − | 5.99707i | 1.37530 | − | 0.436223i | ||||
\(190\) | 10.3719 | − | 5.13641i | 0.752457 | − | 0.372635i | ||||
\(191\) | 18.1973 | − | 11.6947i | 1.31671 | − | 0.846200i | 0.321786 | − | 0.946812i | \(-0.395717\pi\) |
0.994926 | + | 0.100613i | \(0.0320803\pi\) | |||||||
\(192\) | 1.66535 | + | 0.476026i | 0.120186 | + | 0.0343542i | ||||
\(193\) | 2.66028 | − | 2.30515i | 0.191491 | − | 0.165928i | −0.553838 | − | 0.832624i | \(-0.686837\pi\) |
0.745330 | + | 0.666696i | \(0.232292\pi\) | |||||||
\(194\) | −3.52446 | − | 2.26503i | −0.253041 | − | 0.162620i | ||||
\(195\) | 7.66293 | + | 0.801356i | 0.548754 | + | 0.0573863i | ||||
\(196\) | −1.07763 | + | 7.49507i | −0.0769734 | + | 0.535362i | ||||
\(197\) | 17.6966 | + | 11.3729i | 1.26083 | + | 0.810288i | 0.988398 | − | 0.151886i | \(-0.0485348\pi\) |
0.272435 | + | 0.962174i | \(0.412171\pi\) | |||||||
\(198\) | −8.98289 | + | 10.6728i | −0.638386 | + | 0.758483i | ||||
\(199\) | −25.1274 | + | 11.4753i | −1.78123 | + | 0.813462i | −0.806120 | + | 0.591752i | \(0.798437\pi\) |
−0.975113 | + | 0.221710i | \(0.928836\pi\) | |||||||
\(200\) | −2.35860 | − | 4.40874i | −0.166778 | − | 0.311745i | ||||
\(201\) | 3.94675 | − | 2.57666i | 0.278382 | − | 0.181744i | ||||
\(202\) | −4.40055 | − | 3.81310i | −0.309622 | − | 0.268289i | ||||
\(203\) | −2.88643 | − | 9.83027i | −0.202588 | − | 0.689950i | ||||
\(204\) | −4.12897 | + | 1.92160i | −0.289086 | + | 0.134539i | ||||
\(205\) | 5.28147 | + | 4.29349i | 0.368874 | + | 0.299870i | ||||
\(206\) | −13.7488 | −0.957925 | ||||||||
\(207\) | −9.23200 | − | 11.0350i | −0.641668 | − | 0.766982i | ||||
\(208\) | 1.98935i | 0.137937i | ||||||||
\(209\) | −23.8237 | + | 3.42533i | −1.64792 | + | 0.236935i | ||||
\(210\) | 5.61812 | − | 13.6755i | 0.387687 | − | 0.943698i | ||||
\(211\) | 16.0204 | − | 4.70402i | 1.10289 | − | 0.323838i | 0.320891 | − | 0.947116i | \(-0.396018\pi\) |
0.782000 | + | 0.623278i | \(0.214200\pi\) | |||||||
\(212\) | −8.48727 | − | 7.35426i | −0.582908 | − | 0.505093i | ||||
\(213\) | 4.79574 | + | 7.34577i | 0.328599 | + | 0.503324i | ||||
\(214\) | −10.1891 | − | 15.8545i | −0.696510 | − | 1.08379i | ||||
\(215\) | 2.74214 | − | 6.54081i | 0.187013 | − | 0.446079i | ||||
\(216\) | −0.850133 | − | 5.12614i | −0.0578442 | − | 0.348789i | ||||
\(217\) | −15.5179 | − | 9.97278i | −1.05343 | − | 0.676996i | ||||
\(218\) | 7.98099 | + | 1.14749i | 0.540541 | + | 0.0777180i | ||||
\(219\) | −9.24144 | + | 8.12469i | −0.624478 | + | 0.549016i | ||||
\(220\) | 1.80233 | + | 10.2403i | 0.121513 | + | 0.690400i | ||||
\(221\) | −3.42542 | − | 3.95315i | −0.230419 | − | 0.265917i | ||||
\(222\) | −15.8113 | − | 4.51953i | −1.06119 | − | 0.303331i | ||||
\(223\) | −1.67546 | − | 2.60706i | −0.112197 | − | 0.174582i | 0.780614 | − | 0.625013i | \(-0.214907\pi\) |
−0.892811 | + | 0.450432i | \(0.851270\pi\) | |||||||
\(224\) | 3.66272 | + | 1.07547i | 0.244726 | + | 0.0718579i | ||||
\(225\) | −8.91930 | + | 12.0601i | −0.594620 | + | 0.804007i | ||||
\(226\) | −2.18454 | − | 7.43987i | −0.145314 | − | 0.494893i | ||||
\(227\) | −8.31619 | − | 3.79788i | −0.551965 | − | 0.252074i | 0.119851 | − | 0.992792i | \(-0.461758\pi\) |
−0.671816 | + | 0.740718i | \(0.734485\pi\) | |||||||
\(228\) | 4.79268 | − | 7.57666i | 0.317403 | − | 0.501776i | ||||
\(229\) | − | 19.9220i | − | 1.31648i | −0.752807 | − | 0.658242i | \(-0.771301\pi\) | ||
0.752807 | − | 0.658242i | \(-0.228699\pi\) | |||||||
\(230\) | −10.7238 | − | 0.00291238i | −0.707107 | − | 0.000192037i | ||||
\(231\) | −19.9663 | + | 23.3795i | −1.31368 | + | 1.53826i | ||||
\(232\) | −2.65656 | + | 0.381955i | −0.174411 | + | 0.0250766i | ||||
\(233\) | 1.98627 | − | 4.34933i | 0.130125 | − | 0.284934i | −0.833344 | − | 0.552755i | \(-0.813576\pi\) |
0.963469 | + | 0.267821i | \(0.0863036\pi\) | |||||||
\(234\) | 5.39256 | − | 2.55694i | 0.352522 | − | 0.167152i | ||||
\(235\) | 22.7423 | − | 0.714806i | 1.48355 | − | 0.0466288i | ||||
\(236\) | 0.262751 | − | 0.894849i | 0.0171037 | − | 0.0582497i | ||||
\(237\) | 13.9875 | + | 1.90867i | 0.908587 | + | 0.123981i | ||||
\(238\) | −9.13022 | + | 4.16963i | −0.591824 | + | 0.270277i | ||||
\(239\) | 11.0521 | − | 9.57674i | 0.714904 | − | 0.619468i | −0.219530 | − | 0.975606i | \(-0.570452\pi\) |
0.934433 | + | 0.356138i | \(0.115907\pi\) | |||||||
\(240\) | −3.33654 | − | 1.96659i | −0.215373 | − | 0.126943i | ||||
\(241\) | −4.89326 | − | 0.703545i | −0.315203 | − | 0.0453193i | −0.0171020 | − | 0.999854i | \(-0.505444\pi\) |
−0.298101 | + | 0.954534i | \(0.596353\pi\) | |||||||
\(242\) | 1.51172 | − | 10.5142i | 0.0971769 | − | 0.675880i | ||||
\(243\) | −12.8028 | + | 8.89317i | −0.821300 | + | 0.570497i | ||||
\(244\) | −9.19308 | + | 7.96585i | −0.588527 | + | 0.509961i | ||||
\(245\) | 6.54641 | − | 15.6151i | 0.418235 | − | 0.997611i | ||||
\(246\) | 5.22386 | + | 0.712820i | 0.333061 | + | 0.0454478i | ||||
\(247\) | 9.87994 | + | 2.90101i | 0.628645 | + | 0.184587i | ||||
\(248\) | −3.16442 | + | 3.65194i | −0.200941 | + | 0.231898i | ||||
\(249\) | −11.8764 | − | 5.32101i | −0.752636 | − | 0.337205i | ||||
\(250\) | 2.62566 | + | 10.8677i | 0.166061 | + | 0.687331i | ||||
\(251\) | 2.79468 | + | 19.4374i | 0.176398 | + | 1.22688i | 0.865013 | + | 0.501750i | \(0.167310\pi\) |
−0.688614 | + | 0.725128i | \(0.741781\pi\) | |||||||
\(252\) | −1.79245 | − | 11.3109i | −0.112914 | − | 0.712519i | ||||
\(253\) | 21.1874 | + | 6.95764i | 1.33204 | + | 0.437423i | ||||
\(254\) | 14.5435i | 0.912538i | ||||||||
\(255\) | 10.0165 | − | 1.83721i | 0.627255 | − | 0.115050i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −20.0570 | + | 5.88927i | −1.25112 | + | 0.367363i | −0.839183 | − | 0.543849i | \(-0.816967\pi\) |
−0.411939 | + | 0.911211i | \(0.635148\pi\) | |||||||
\(258\) | −0.820873 | − | 5.43204i | −0.0511053 | − | 0.338184i | ||||
\(259\) | −34.7749 | − | 10.2108i | −2.16081 | − | 0.634470i | ||||
\(260\) | 1.11853 | − | 4.30540i | 0.0693686 | − | 0.267009i | ||||
\(261\) | 4.44988 | + | 6.71023i | 0.275441 | + | 0.415353i | ||||
\(262\) | −3.20258 | + | 2.77505i | −0.197856 | + | 0.171443i | ||||
\(263\) | −0.615564 | + | 0.957836i | −0.0379573 | + | 0.0590627i | −0.859714 | − | 0.510776i | \(-0.829358\pi\) |
0.821756 | + | 0.569839i | \(0.192994\pi\) | |||||||
\(264\) | 5.31784 | + | 6.04877i | 0.327290 | + | 0.372276i | ||||
\(265\) | 14.2333 | + | 20.6883i | 0.874346 | + | 1.27087i | ||||
\(266\) | 10.6825 | − | 16.6223i | 0.654984 | − | 1.01918i | ||||
\(267\) | 23.9893 | − | 0.172305i | 1.46812 | − | 0.0105449i | ||||
\(268\) | −1.13046 | − | 2.47536i | −0.0690537 | − | 0.151207i | ||||
\(269\) | −4.87737 | − | 7.58933i | −0.297378 | − | 0.462730i | 0.660123 | − | 0.751157i | \(-0.270504\pi\) |
−0.957502 | + | 0.288427i | \(0.906868\pi\) | |||||||
\(270\) | −1.04235 | + | 11.5721i | −0.0634355 | + | 0.704256i | ||||
\(271\) | 0.148025 | − | 0.170830i | 0.00899189 | − | 0.0103772i | −0.751236 | − | 0.660034i | \(-0.770542\pi\) |
0.760228 | + | 0.649657i | \(0.225087\pi\) | |||||||
\(272\) | 0.740783 | + | 2.52288i | 0.0449166 | + | 0.152972i | ||||
\(273\) | 11.9251 | − | 5.54985i | 0.721738 | − | 0.335892i | ||||
\(274\) | 2.09107 | − | 0.300651i | 0.126326 | − | 0.0181630i | ||||
\(275\) | 1.85706 | − | 23.1756i | 0.111985 | − | 1.39754i | ||||
\(276\) | −7.09594 | + | 4.31830i | −0.427125 | + | 0.259931i | ||||
\(277\) | 8.18154i | 0.491581i | 0.969323 | + | 0.245791i | \(0.0790476\pi\) | ||||
−0.969323 | + | 0.245791i | \(0.920952\pi\) | |||||||
\(278\) | −0.567562 | − | 3.94748i | −0.0340401 | − | 0.236754i | ||||
\(279\) | 13.9666 | + | 3.88395i | 0.836161 | + | 0.232526i | ||||
\(280\) | −7.32224 | − | 4.38696i | −0.437588 | − | 0.262171i | ||||
\(281\) | −13.9631 | + | 16.1143i | −0.832968 | + | 0.961297i | −0.999695 | − | 0.0247066i | \(-0.992135\pi\) |
0.166727 | + | 0.986003i | \(0.446680\pi\) | |||||||
\(282\) | 14.7581 | − | 9.63496i | 0.878834 | − | 0.573753i | ||||
\(283\) | −9.70757 | + | 6.23868i | −0.577055 | + | 0.370851i | −0.796376 | − | 0.604802i | \(-0.793252\pi\) |
0.219321 | + | 0.975653i | \(0.429616\pi\) | |||||||
\(284\) | 4.60719 | − | 2.10403i | 0.273386 | − | 0.124851i | ||||
\(285\) | −14.6325 | + | 13.7028i | −0.866754 | + | 0.811686i | ||||
\(286\) | −5.00117 | + | 7.78197i | −0.295725 | + | 0.460157i | ||||
\(287\) | 11.5015 | + | 1.65367i | 0.678913 | + | 0.0976130i | ||||
\(288\) | −2.99969 | + | 0.0430932i | −0.176758 | + | 0.00253929i | ||||
\(289\) | 8.48517 | + | 5.45309i | 0.499128 | + | 0.320770i | ||||
\(290\) | 5.96414 | + | 0.667043i | 0.350226 | + | 0.0391701i | ||||
\(291\) | 6.97704 | + | 1.99433i | 0.409001 | + | 0.116909i | ||||
\(292\) | 3.84089 | + | 5.97655i | 0.224771 | + | 0.349751i | ||||
\(293\) | −8.64546 | + | 29.4437i | −0.505073 | + | 1.72012i | 0.172814 | + | 0.984955i | \(0.444714\pi\) |
−0.677887 | + | 0.735166i | \(0.737104\pi\) | |||||||
\(294\) | −1.95970 | − | 12.9681i | −0.114292 | − | 0.756315i | ||||
\(295\) | −1.07179 | + | 1.78892i | −0.0624021 | + | 0.104155i | ||||
\(296\) | −3.94407 | + | 8.63631i | −0.229244 | + | 0.501975i | ||||
\(297\) | 9.56140 | − | 22.1897i | 0.554808 | − | 1.28758i | ||||
\(298\) | −10.8222 | −0.626912 | ||||||||
\(299\) | −7.00870 | − | 6.47309i | −0.405324 | − | 0.374348i | ||||
\(300\) | 6.11529 | + | 6.13215i | 0.353066 | + | 0.354040i | ||||
\(301\) | −1.72313 | − | 11.9846i | −0.0993194 | − | 0.690781i | ||||
\(302\) | −3.71725 | + | 8.13964i | −0.213904 | + | 0.468384i | ||||
\(303\) | 9.20379 | + | 4.12360i | 0.528744 | + | 0.236895i | ||||
\(304\) | −3.91182 | − | 3.38961i | −0.224358 | − | 0.194408i | ||||
\(305\) | 24.3748 | − | 12.0710i | 1.39570 | − | 0.691182i | ||||
\(306\) | 5.88665 | − | 5.25074i | 0.336517 | − | 0.300165i | ||||
\(307\) | 25.9954 | − | 11.8717i | 1.48363 | − | 0.677553i | 0.501400 | − | 0.865215i | \(-0.332818\pi\) |
0.982234 | + | 0.187663i | \(0.0600911\pi\) | |||||||
\(308\) | 11.6242 | + | 13.4150i | 0.662349 | + | 0.764391i | ||||
\(309\) | 22.8002 | − | 6.87301i | 1.29706 | − | 0.390992i | ||||
\(310\) | 8.90186 | − | 6.12438i | 0.505592 | − | 0.347841i | ||||
\(311\) | 16.8300 | + | 2.41978i | 0.954340 | + | 0.137213i | 0.601856 | − | 0.798605i | \(-0.294428\pi\) |
0.352484 | + | 0.935818i | \(0.385337\pi\) | |||||||
\(312\) | −0.994474 | − | 3.29902i | −0.0563010 | − | 0.186770i | ||||
\(313\) | −0.958412 | − | 1.10607i | −0.0541727 | − | 0.0625186i | 0.728016 | − | 0.685560i | \(-0.240442\pi\) |
−0.782189 | + | 0.623041i | \(0.785897\pi\) | |||||||
\(314\) | −5.56168 | − | 12.1784i | −0.313864 | − | 0.687266i | ||||
\(315\) | −2.48041 | + | 25.4871i | −0.139755 | + | 1.43604i | ||||
\(316\) | 2.29627 | − | 7.82039i | 0.129175 | − | 0.439931i | ||||
\(317\) | 1.89825 | − | 2.19069i | 0.106616 | − | 0.123042i | −0.699933 | − | 0.714208i | \(-0.746787\pi\) |
0.806549 | + | 0.591167i | \(0.201332\pi\) | |||||||
\(318\) | 17.7512 | + | 7.95311i | 0.995437 | + | 0.445988i | ||||
\(319\) | −11.3522 | − | 5.18437i | −0.635600 | − | 0.290269i | ||||
\(320\) | −1.41050 | + | 1.73507i | −0.0788494 | + | 0.0969936i | ||||
\(321\) | 24.8226 | + | 21.1987i | 1.38546 | + | 1.18320i | ||||
\(322\) | −15.7070 | + | 9.40472i | −0.875318 | + | 0.524105i | ||||
\(323\) | 13.6099 | 0.757276 | ||||||||
\(324\) | 3.97236 | + | 8.07591i | 0.220687 | + | 0.448662i | ||||
\(325\) | −4.84152 | + | 8.68893i | −0.268559 | + | 0.481975i | ||||
\(326\) | −5.43498 | − | 18.5098i | −0.301016 | − | 1.02517i | ||||
\(327\) | −13.8088 | + | 2.08675i | −0.763631 | + | 0.115398i | ||||
\(328\) | 0.857578 | − | 2.92064i | 0.0473518 | − | 0.161266i | ||||
\(329\) | 32.6778 | − | 21.0008i | 1.80159 | − | 1.15781i | ||||
\(330\) | −8.10799 | − | 16.0809i | −0.446330 | − | 0.885225i | ||||
\(331\) | 8.59661 | + | 9.92102i | 0.472512 | + | 0.545308i | 0.941109 | − | 0.338104i | \(-0.109786\pi\) |
−0.468596 | + | 0.883412i | \(0.655240\pi\) | |||||||
\(332\) | −4.06215 | + | 6.32083i | −0.222939 | + | 0.346901i | ||||
\(333\) | 28.4799 | − | 0.409139i | 1.56069 | − | 0.0224207i | ||||
\(334\) | −2.05782 | + | 14.3125i | −0.112599 | + | 0.783143i | ||||
\(335\) | 1.05477 | + | 5.99284i | 0.0576280 | + | 0.327424i | ||||
\(336\) | −6.61167 | + | 0.0474887i | −0.360696 | + | 0.00259072i | ||||
\(337\) | 9.64730 | + | 21.1246i | 0.525522 | + | 1.15073i | 0.967306 | + | 0.253611i | \(0.0816182\pi\) |
−0.441785 | + | 0.897121i | \(0.645654\pi\) | |||||||
\(338\) | −7.60703 | + | 4.88874i | −0.413768 | + | 0.265912i | ||||
\(339\) | 7.34190 | + | 11.2458i | 0.398757 | + | 0.610788i | ||||
\(340\) | −0.184705 | − | 5.87658i | −0.0100170 | − | 0.318702i | ||||
\(341\) | −21.5595 | + | 6.33044i | −1.16751 | + | 0.342813i | ||||
\(342\) | −4.16034 | + | 14.9606i | −0.224966 | + | 0.808974i | ||||
\(343\) | −0.310823 | − | 2.16182i | −0.0167829 | − | 0.116727i | ||||
\(344\) | −3.17180 | −0.171012 | ||||||||
\(345\) | 17.7852 | − | 5.35599i | 0.957523 | − | 0.288357i | ||||
\(346\) | −9.00438 | −0.484079 | ||||||||
\(347\) | −3.51504 | − | 24.4477i | −0.188697 | − | 1.31242i | −0.835385 | − | 0.549665i | \(-0.814755\pi\) |
0.646688 | − | 0.762755i | \(-0.276154\pi\) | |||||||
\(348\) | 4.21454 | − | 1.96142i | 0.225923 | − | 0.105143i | ||||
\(349\) | −31.6929 | + | 9.30588i | −1.69648 | + | 0.498133i | −0.979920 | − | 0.199389i | \(-0.936104\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(350\) | 13.3803 | + | 13.6114i | 0.715210 | + | 0.727559i | ||||
\(351\) | −7.66449 | + | 6.93602i | −0.409100 | + | 0.370217i | ||||
\(352\) | 3.91182 | − | 2.51397i | 0.208500 | − | 0.133995i | ||||
\(353\) | −2.44281 | − | 5.34902i | −0.130018 | − | 0.284699i | 0.833416 | − | 0.552647i | \(-0.186382\pi\) |
−0.963434 | + | 0.267947i | \(0.913655\pi\) | |||||||
\(354\) | 0.0116021 | + | 1.61532i | 0.000616645 | + | 0.0858531i | ||||
\(355\) | −11.1540 | + | 1.96315i | −0.591993 | + | 0.104193i | ||||
\(356\) | 1.97114 | − | 13.7096i | 0.104470 | − | 0.726607i | ||||
\(357\) | 13.0566 | − | 11.4789i | 0.691031 | − | 0.607526i | ||||
\(358\) | −0.129541 | + | 0.201570i | −0.00684647 | + | 0.0106533i | ||||
\(359\) | −17.1519 | − | 19.7944i | −0.905244 | − | 1.04471i | −0.998794 | − | 0.0490931i | \(-0.984367\pi\) |
0.0935499 | − | 0.995615i | \(-0.470179\pi\) | |||||||
\(360\) | 6.51623 | + | 1.59335i | 0.343435 | + | 0.0839768i | ||||
\(361\) | −6.55492 | + | 4.21259i | −0.344996 | + | 0.221715i | ||||
\(362\) | −4.52481 | + | 15.4101i | −0.237819 | + | 0.809937i | ||||
\(363\) | 2.74910 | + | 18.1919i | 0.144291 | + | 0.954827i | ||||
\(364\) | −2.13949 | − | 7.28643i | −0.112140 | − | 0.381912i | ||||
\(365\) | −4.95217 | − | 15.0942i | −0.259208 | − | 0.790065i | ||||
\(366\) | 11.2632 | − | 17.8057i | 0.588735 | − | 0.930720i | ||||
\(367\) | 9.03990 | 0.471879 | 0.235939 | − | 0.971768i | \(-0.424183\pi\) | ||||
0.235939 | + | 0.971768i | \(0.424183\pi\) | |||||||
\(368\) | 1.85303 | + | 4.42338i | 0.0965958 | + | 0.230585i | ||||
\(369\) | −9.01928 | + | 1.42930i | −0.469525 | + | 0.0744063i | ||||
\(370\) | 13.3917 | − | 16.4733i | 0.696202 | − | 0.856406i | ||||
\(371\) | 38.9958 | + | 17.8088i | 2.02456 | + | 0.924585i | ||||
\(372\) | 3.42210 | − | 7.63806i | 0.177428 | − | 0.396015i | ||||
\(373\) | 21.4375 | − | 24.7402i | 1.10999 | − | 1.28100i | 0.153848 | − | 0.988094i | \(-0.450833\pi\) |
0.956142 | − | 0.292903i | \(-0.0946213\pi\) | |||||||
\(374\) | −3.44463 | + | 11.7313i | −0.178118 | + | 0.606613i | ||||
\(375\) | −9.78698 | − | 16.7097i | −0.505397 | − | 0.862887i | ||||
\(376\) | −4.22714 | − | 9.25615i | −0.217998 | − | 0.477349i | ||||
\(377\) | 3.49641 | + | 4.03507i | 0.180074 | + | 0.207817i | ||||
\(378\) | 8.62681 | + | 17.8613i | 0.443715 | + | 0.918686i | ||||
\(379\) | −17.0802 | − | 2.45576i | −0.877350 | − | 0.126144i | −0.311100 | − | 0.950377i | \(-0.600697\pi\) |
−0.566250 | + | 0.824233i | \(0.691607\pi\) | |||||||
\(380\) | 6.56021 | + | 9.53535i | 0.336532 | + | 0.489153i | ||||
\(381\) | −7.27026 | − | 24.1181i | −0.372467 | − | 1.23561i | ||||
\(382\) | 14.1654 | + | 16.3478i | 0.724766 | + | 0.836425i | ||||
\(383\) | −9.30017 | + | 4.24725i | −0.475217 | + | 0.217024i | −0.638601 | − | 0.769538i | \(-0.720486\pi\) |
0.163384 | + | 0.986563i | \(0.447759\pi\) | |||||||
\(384\) | −0.234177 | + | 1.71615i | −0.0119503 | + | 0.0875768i | ||||
\(385\) | −17.6146 | − | 35.5689i | −0.897721 | − | 1.81276i | ||||
\(386\) | 2.66028 | + | 2.30515i | 0.135405 | + | 0.117329i | ||||
\(387\) | 4.07676 | + | 8.59783i | 0.207233 | + | 0.437052i | ||||
\(388\) | 1.74039 | − | 3.81093i | 0.0883551 | − | 0.193471i | ||||
\(389\) | −2.52209 | − | 17.5415i | −0.127875 | − | 0.889389i | −0.948241 | − | 0.317551i | \(-0.897140\pi\) |
0.820366 | − | 0.571838i | \(-0.193770\pi\) | |||||||
\(390\) | 0.297349 | + | 7.69898i | 0.0150569 | + | 0.389853i | ||||
\(391\) | −11.2988 | − | 5.59925i | −0.571404 | − | 0.283166i | ||||
\(392\) | −7.57214 | −0.382451 | ||||||||
\(393\) | 3.92374 | − | 6.20296i | 0.197926 | − | 0.312898i | ||||
\(394\) | −8.73868 | + | 19.1350i | −0.440248 | + | 0.964009i | ||||
\(395\) | −9.36675 | + | 15.6340i | −0.471292 | + | 0.786630i | ||||
\(396\) | −11.8426 | − | 7.37256i | −0.595112 | − | 0.370485i | ||||
\(397\) | −4.78779 | + | 16.3057i | −0.240292 | + | 0.818360i | 0.747724 | + | 0.664010i | \(0.231147\pi\) |
−0.988016 | + | 0.154351i | \(0.950671\pi\) | |||||||
\(398\) | −14.9345 | − | 23.2385i | −0.748598 | − | 1.16484i | ||||
\(399\) | −9.40576 | + | 32.9055i | −0.470877 | + | 1.64734i | ||||
\(400\) | 4.02821 | − | 2.96202i | 0.201410 | − | 0.148101i | ||||
\(401\) | −4.70729 | − | 3.02519i | −0.235071 | − | 0.151071i | 0.417803 | − | 0.908538i | \(-0.362800\pi\) |
−0.652874 | + | 0.757467i | \(0.726437\pi\) | |||||||
\(402\) | 3.11211 | + | 3.53988i | 0.155218 | + | 0.176553i | ||||
\(403\) | 9.51511 | + | 1.36807i | 0.473981 | + | 0.0681482i | ||||
\(404\) | 3.14803 | − | 4.89842i | 0.156620 | − | 0.243706i | ||||
\(405\) | −4.05630 | − | 19.7116i | −0.201559 | − | 0.979476i | ||||
\(406\) | 9.31943 | − | 4.25604i | 0.462516 | − | 0.211224i | ||||
\(407\) | −37.1399 | + | 23.8684i | −1.84096 | + | 1.18311i | ||||
\(408\) | −2.48965 | − | 3.81348i | −0.123256 | − | 0.188795i | ||||
\(409\) | 18.2942 | − | 21.1126i | 0.904589 | − | 1.04395i | −0.0942387 | − | 0.995550i | \(-0.530042\pi\) |
0.998828 | − | 0.0484020i | \(-0.0154128\pi\) | |||||||
\(410\) | −3.49816 | + | 5.83874i | −0.172762 | + | 0.288355i | ||||
\(411\) | −3.31742 | + | 1.54391i | −0.163636 | + | 0.0761553i | ||||
\(412\) | −1.95666 | − | 13.6089i | −0.0963977 | − | 0.670461i | ||||
\(413\) | 3.56016i | 0.175184i | ||||||||
\(414\) | 9.60878 | − | 10.7085i | 0.472246 | − | 0.526292i | ||||
\(415\) | 12.3454 | − | 11.3957i | 0.606010 | − | 0.559393i | ||||
\(416\) | −1.96910 | + | 0.283114i | −0.0965431 | + | 0.0138808i | ||||
\(417\) | 2.91455 | + | 6.26255i | 0.142726 | + | 0.306678i | ||||
\(418\) | −6.78094 | − | 23.0938i | −0.331667 | − | 1.12955i | ||||
\(419\) | 20.8480 | − | 24.0599i | 1.01849 | − | 1.17540i | 0.0340999 | − | 0.999418i | \(-0.489144\pi\) |
0.984393 | − | 0.175985i | \(-0.0563110\pi\) | |||||||
\(420\) | 14.3358 | + | 3.61471i | 0.699517 | + | 0.176380i | ||||
\(421\) | 16.8206 | + | 26.1733i | 0.819785 | + | 1.27561i | 0.958447 | + | 0.285271i | \(0.0920836\pi\) |
−0.138662 | + | 0.990340i | \(0.544280\pi\) | |||||||
\(422\) | 6.93608 | + | 15.1879i | 0.337643 | + | 0.739336i | ||||
\(423\) | −19.6576 | + | 23.3556i | −0.955783 | + | 1.13559i | ||||
\(424\) | 6.07154 | − | 9.44750i | 0.294860 | − | 0.458811i | ||||
\(425\) | −2.90443 | + | 12.8221i | −0.140886 | + | 0.621962i | ||||
\(426\) | −6.58850 | + | 5.79234i | −0.319214 | + | 0.280640i | ||||
\(427\) | 25.1046 | − | 39.0636i | 1.21490 | − | 1.89042i | ||||
\(428\) | 14.2431 | − | 12.3417i | 0.688465 | − | 0.596558i | ||||
\(429\) | 4.40345 | − | 15.4052i | 0.212601 | − | 0.743772i | ||||
\(430\) | 6.86448 | + | 1.78338i | 0.331034 | + | 0.0860022i | ||||
\(431\) | −24.6425 | − | 7.23570i | −1.18699 | − | 0.348532i | −0.372125 | − | 0.928183i | \(-0.621371\pi\) |
−0.814865 | + | 0.579651i | \(0.803189\pi\) | |||||||
\(432\) | 4.95297 | − | 1.57101i | 0.238300 | − | 0.0755850i | ||||
\(433\) | −28.4735 | + | 8.36057i | −1.36835 | + | 0.401783i | −0.881698 | − | 0.471814i | \(-0.843600\pi\) |
−0.486650 | + | 0.873597i | \(0.661781\pi\) | |||||||
\(434\) | 7.66284 | − | 16.7793i | 0.367828 | − | 0.805431i | ||||
\(435\) | −10.2240 | + | 1.87528i | −0.490205 | + | 0.0899128i | ||||
\(436\) | 8.06306i | 0.386150i | ||||||||
\(437\) | 24.6706 | − | 2.75243i | 1.18015 | − | 0.131666i | ||||
\(438\) | −9.35719 | − | 7.99111i | −0.447104 | − | 0.381830i | ||||
\(439\) | −3.54504 | − | 24.6563i | −0.169195 | − | 1.17678i | −0.880552 | − | 0.473949i | \(-0.842828\pi\) |
0.711357 | − | 0.702831i | \(-0.248081\pi\) | |||||||
\(440\) | −9.87955 | + | 3.24133i | −0.470989 | + | 0.154524i | ||||
\(441\) | 9.73259 | + | 20.5259i | 0.463457 | + | 0.977424i | ||||
\(442\) | 3.42542 | − | 3.95315i | 0.162931 | − | 0.188032i | ||||
\(443\) | 1.49942 | + | 0.440270i | 0.0712397 | + | 0.0209179i | 0.317158 | − | 0.948373i | \(-0.397271\pi\) |
−0.245919 | + | 0.969291i | \(0.579090\pi\) | |||||||
\(444\) | 2.22334 | − | 16.2936i | 0.105515 | − | 0.773260i | ||||
\(445\) | −11.9744 | + | 28.5623i | −0.567640 | + | 1.35398i | ||||
\(446\) | 2.34209 | − | 2.02943i | 0.110901 | − | 0.0960962i | ||||
\(447\) | 17.9469 | − | 5.41000i | 0.848859 | − | 0.255884i | ||||
\(448\) | −0.543265 | + | 3.77849i | −0.0256669 | + | 0.178517i | ||||
\(449\) | 29.9695 | + | 4.30896i | 1.41435 | + | 0.203353i | 0.806750 | − | 0.590893i | \(-0.201224\pi\) |
0.607598 | + | 0.794245i | \(0.292133\pi\) | |||||||
\(450\) | −13.2067 | − | 7.11218i | −0.622570 | − | 0.335271i | ||||
\(451\) | 10.6971 | − | 9.26909i | 0.503707 | − | 0.436464i | ||||
\(452\) | 7.05325 | − | 3.22111i | 0.331757 | − | 0.151508i | ||||
\(453\) | 2.09548 | − | 15.3566i | 0.0984541 | − | 0.721514i | ||||
\(454\) | 2.57570 | − | 8.77203i | 0.120884 | − | 0.411692i | ||||
\(455\) | 0.533453 | + | 16.9724i | 0.0250087 | + | 0.795679i | ||||
\(456\) | 8.18161 | + | 3.66563i | 0.383139 | + | 0.171659i | ||||
\(457\) | −14.3451 | + | 31.4114i | −0.671035 | + | 1.46936i | 0.200834 | + | 0.979625i | \(0.435635\pi\) |
−0.871870 | + | 0.489737i | \(0.837093\pi\) | |||||||
\(458\) | 19.7192 | − | 2.83520i | 0.921419 | − | 0.132480i | ||||
\(459\) | −7.13725 | + | 11.6503i | −0.333138 | + | 0.543787i | ||||
\(460\) | −1.52327 | − | 10.6151i | −0.0710230 | − | 0.494930i | ||||
\(461\) | − | 1.00394i | − | 0.0467583i | −0.999727 | − | 0.0233792i | \(-0.992558\pi\) | ||
0.999727 | − | 0.0233792i | \(-0.00744250\pi\) | |||||||
\(462\) | −25.9830 | − | 16.4358i | −1.20884 | − | 0.764662i | ||||
\(463\) | −2.06758 | − | 0.944230i | −0.0960884 | − | 0.0438821i | 0.366791 | − | 0.930303i | \(-0.380456\pi\) |
−0.462879 | + | 0.886421i | \(0.653184\pi\) | |||||||
\(464\) | −0.756135 | − | 2.57516i | −0.0351027 | − | 0.119549i | ||||
\(465\) | −11.7008 | + | 14.6064i | −0.542610 | + | 0.677353i | ||||
\(466\) | 4.58774 | + | 1.34708i | 0.212523 | + | 0.0624024i | ||||
\(467\) | 6.19831 | + | 9.64476i | 0.286824 | + | 0.446306i | 0.954528 | − | 0.298120i | \(-0.0963596\pi\) |
−0.667705 | + | 0.744426i | \(0.732723\pi\) | |||||||
\(468\) | 3.29836 | + | 4.97378i | 0.152467 | + | 0.229913i | ||||
\(469\) | 6.80272 | + | 7.85076i | 0.314121 | + | 0.362514i | ||||
\(470\) | 3.94410 | + | 22.4091i | 0.181928 | + | 1.03366i | ||||
\(471\) | 15.3111 | + | 17.4157i | 0.705500 | + | 0.802471i | ||||
\(472\) | 0.923134 | + | 0.132727i | 0.0424907 | + | 0.00610924i | ||||
\(473\) | −12.4075 | − | 7.97381i | −0.570497 | − | 0.366636i | ||||
\(474\) | 0.101395 | + | 14.1168i | 0.00465721 | + | 0.648405i | ||||
\(475\) | −8.83640 | − | 24.3252i | −0.405442 | − | 1.11612i | ||||
\(476\) | −5.42656 | − | 8.44389i | −0.248726 | − | 0.387025i | ||||
\(477\) | −33.4133 | − | 4.31518i | −1.52989 | − | 0.197579i | ||||
\(478\) | 11.0521 | + | 9.57674i | 0.505513 | + | 0.438030i | ||||
\(479\) | −7.78506 | + | 2.28590i | −0.355708 | + | 0.104445i | −0.454704 | − | 0.890642i | \(-0.650255\pi\) |
0.0989960 | + | 0.995088i | \(0.468437\pi\) | |||||||
\(480\) | 1.47173 | − | 3.58246i | 0.0671751 | − | 0.163516i | ||||
\(481\) | 18.6952 | − | 2.68797i | 0.852429 | − | 0.122561i | ||||
\(482\) | − | 4.94358i | − | 0.225174i | ||||||
\(483\) | 21.3462 | − | 23.4482i | 0.971286 | − | 1.06693i | ||||
\(484\) | 10.6224 | 0.482834 | ||||||||
\(485\) | −5.90934 | + | 7.26915i | −0.268329 | + | 0.330075i | ||||
\(486\) | −10.6247 | − | 11.4069i | −0.481945 | − | 0.517425i | ||||
\(487\) | −4.64855 | − | 15.8315i | −0.210646 | − | 0.717393i | −0.995246 | − | 0.0973917i | \(-0.968950\pi\) |
0.784600 | − | 0.620002i | \(-0.212868\pi\) | |||||||
\(488\) | −9.19308 | − | 7.96585i | −0.416151 | − | 0.360597i | ||||
\(489\) | 18.2661 | + | 27.9787i | 0.826022 | + | 1.26524i | ||||
\(490\) | 16.3878 | + | 4.25752i | 0.740325 | + | 0.192335i | ||||
\(491\) | −10.0564 | + | 4.59262i | −0.453840 | + | 0.207262i | −0.629202 | − | 0.777242i | \(-0.716618\pi\) |
0.175361 | + | 0.984504i | \(0.443891\pi\) | |||||||
\(492\) | 0.0378674 | + | 5.27213i | 0.00170720 | + | 0.237686i | ||||
\(493\) | 5.93667 | + | 3.81527i | 0.267374 | + | 0.171831i | ||||
\(494\) | −1.46542 | + | 10.1922i | −0.0659324 | + | 0.458570i | ||||
\(495\) | 21.4847 | + | 22.6145i | 0.965664 | + | 1.01645i | ||||
\(496\) | −4.06511 | − | 2.61249i | −0.182529 | − | 0.117304i | ||||
\(497\) | −14.6120 | + | 12.6614i | −0.655438 | + | 0.567940i | ||||
\(498\) | 3.57666 | − | 12.5128i | 0.160274 | − | 0.560711i | ||||
\(499\) | 1.17804 | − | 0.757081i | 0.0527363 | − | 0.0338916i | −0.514007 | − | 0.857786i | \(-0.671839\pi\) |
0.566743 | + | 0.823894i | \(0.308203\pi\) | |||||||
\(500\) | −10.3834 | + | 4.14556i | −0.464358 | + | 0.185395i | ||||
\(501\) | −3.74221 | − | 24.7637i | −0.167190 | − | 1.10636i | ||||
\(502\) | −18.8418 | + | 5.53246i | −0.840952 | + | 0.246926i | ||||
\(503\) | −8.62223 | − | 3.93764i | −0.384446 | − | 0.175571i | 0.213811 | − | 0.976875i | \(-0.431412\pi\) |
−0.598257 | + | 0.801304i | \(0.704140\pi\) | |||||||
\(504\) | 10.9407 | − | 3.38392i | 0.487336 | − | 0.150732i | ||||
\(505\) | −9.56723 | + | 8.83127i | −0.425736 | + | 0.392986i | ||||
\(506\) | −3.87154 | + | 21.9619i | −0.172111 | + | 0.976326i | ||||
\(507\) | 10.1712 | − | 11.9099i | 0.451718 | − | 0.528939i | ||||
\(508\) | −14.3954 | + | 2.06975i | −0.638694 | + | 0.0918303i | ||||
\(509\) | 2.98323 | + | 1.36240i | 0.132229 | + | 0.0603872i | 0.480431 | − | 0.877033i | \(-0.340480\pi\) |
−0.348202 | + | 0.937420i | \(0.613208\pi\) | |||||||
\(510\) | 3.24400 | + | 9.65305i | 0.143647 | + | 0.427444i | ||||
\(511\) | −20.4957 | − | 17.7596i | −0.906677 | − | 0.785640i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −0.579486 | − | 26.8895i | −0.0255849 | − | 1.18720i | ||||
\(514\) | −8.68374 | − | 19.0147i | −0.383023 | − | 0.838704i | ||||
\(515\) | −3.41709 | + | 30.5528i | −0.150575 | + | 1.34632i | ||||
\(516\) | 5.25993 | − | 1.58558i | 0.231555 | − | 0.0698012i | ||||
\(517\) | 6.73389 | − | 46.8353i | 0.296156 | − | 2.05981i | ||||
\(518\) | 5.15792 | − | 35.8741i | 0.226626 | − | 1.57622i | ||||
\(519\) | 14.9324 | − | 4.50128i | 0.655458 | − | 0.197584i | ||||
\(520\) | 4.42076 | + | 0.494428i | 0.193863 | + | 0.0216821i | ||||
\(521\) | −10.4936 | − | 22.9777i | −0.459731 | − | 1.00667i | −0.987549 | − | 0.157313i | \(-0.949717\pi\) |
0.527818 | − | 0.849358i | \(-0.323010\pi\) | |||||||
\(522\) | −6.00864 | + | 5.35955i | −0.262991 | + | 0.234581i | ||||
\(523\) | 19.7801 | + | 5.80795i | 0.864922 | + | 0.253964i | 0.683954 | − | 0.729525i | \(-0.260259\pi\) |
0.180968 | + | 0.983489i | \(0.442077\pi\) | |||||||
\(524\) | −3.20258 | − | 2.77505i | −0.139906 | − | 0.121229i | ||||
\(525\) | −28.9935 | − | 15.8835i | −1.26538 | − | 0.693214i | ||||
\(526\) | −1.03569 | − | 0.472984i | −0.0451582 | − | 0.0206231i | ||||
\(527\) | 12.5764 | − | 1.80821i | 0.547837 | − | 0.0787670i | ||||
\(528\) | −5.23040 | + | 6.12454i | −0.227624 | + | 0.266536i | ||||
\(529\) | −21.6136 | − | 7.86467i | −0.939721 | − | 0.341942i | ||||
\(530\) | −18.4521 | + | 17.0327i | −0.801509 | + | 0.739853i | ||||
\(531\) | −0.826735 | − | 2.67295i | −0.0358772 | − | 0.115996i | ||||
\(532\) | 17.9733 | + | 8.20815i | 0.779243 | + | 0.355868i | ||||
\(533\) | −5.81018 | + | 1.70602i | −0.251667 | + | 0.0738961i | ||||
\(534\) | 3.58458 | + | 23.7206i | 0.155120 | + | 1.02649i | ||||
\(535\) | −37.7644 | + | 18.7018i | −1.63270 | + | 0.808551i | ||||
\(536\) | 2.28928 | − | 1.47123i | 0.0988819 | − | 0.0635475i | ||||
\(537\) | 0.114059 | − | 0.399030i | 0.00492202 | − | 0.0172194i | ||||
\(538\) | 6.81796 | − | 5.90780i | 0.293943 | − | 0.254703i | ||||
\(539\) | −29.6208 | − | 19.0361i | −1.27586 | − | 0.819945i | ||||
\(540\) | −11.6027 | + | 0.615140i | −0.499299 | + | 0.0264714i | ||||
\(541\) | 4.32457 | − | 30.0780i | 0.185928 | − | 1.29315i | −0.656492 | − | 0.754333i | \(-0.727961\pi\) |
0.842420 | − | 0.538822i | \(-0.181130\pi\) | |||||||
\(542\) | 0.190157 | + | 0.122207i | 0.00816796 | + | 0.00524923i | ||||
\(543\) | −0.199799 | − | 27.8172i | −0.00857418 | − | 1.19375i | ||||
\(544\) | −2.39177 | + | 1.09229i | −0.102546 | + | 0.0468314i | ||||
\(545\) | 4.53355 | − | 17.4503i | 0.194196 | − | 0.747487i | ||||
\(546\) | 7.19048 | + | 11.0139i | 0.307724 | + | 0.471350i | ||||
\(547\) | 3.39453 | + | 2.94137i | 0.145140 | + | 0.125764i | 0.724404 | − | 0.689375i | \(-0.242115\pi\) |
−0.579265 | + | 0.815139i | \(0.696660\pi\) | |||||||
\(548\) | 0.595181 | + | 2.02700i | 0.0254249 | + | 0.0865892i | ||||
\(549\) | −9.77713 | + | 35.1584i | −0.417278 | + | 1.50053i | ||||
\(550\) | 23.2040 | − | 1.46008i | 0.989423 | − | 0.0622579i | ||||
\(551\) | −13.8920 | −0.591817 | ||||||||
\(552\) | −5.28420 | − | 6.40915i | −0.224910 | − | 0.272792i | ||||
\(553\) | 31.1134i | 1.32308i | ||||||||
\(554\) | −8.09827 | + | 1.16435i | −0.344062 | + | 0.0494687i | ||||
\(555\) | −13.9731 | + | 34.0129i | −0.593124 | + | 1.44377i | ||||
\(556\) | 3.82653 | − | 1.12357i | 0.162281 | − | 0.0476500i | ||||
\(557\) | −26.5925 | − | 23.0426i | −1.12676 | − | 0.976345i | −0.126884 | − | 0.991918i | \(-0.540497\pi\) |
−0.999879 | + | 0.0155724i | \(0.995043\pi\) | |||||||
\(558\) | −1.85676 | + | 14.3772i | −0.0786028 | + | 0.608637i | ||||
\(559\) | 3.41134 | + | 5.30815i | 0.144284 | + | 0.224511i | ||||
\(560\) | 3.30025 | − | 7.87204i | 0.139461 | − | 0.332655i | ||||
\(561\) | −0.152102 | − | 21.1765i | −0.00642174 | − | 0.894074i | ||||
\(562\) | −17.9374 | − | 11.5277i | −0.756644 | − | 0.486265i | ||||
\(563\) | −39.3791 | − | 5.66187i | −1.65963 | − | 0.238619i | −0.752236 | − | 0.658894i | \(-0.771025\pi\) |
−0.907397 | + | 0.420274i | \(0.861934\pi\) | |||||||
\(564\) | 11.6372 | + | 13.2367i | 0.490014 | + | 0.557367i | ||||
\(565\) | −17.0759 | + | 3.00543i | −0.718389 | + | 0.126439i | ||||
\(566\) | −7.55671 | − | 8.72090i | −0.317632 | − | 0.366567i | ||||
\(567\) | −23.2350 | − | 25.3076i | −0.975780 | − | 1.06282i | ||||
\(568\) | 2.73829 | + | 4.26086i | 0.114896 | + | 0.178782i | ||||
\(569\) | 7.47177 | + | 2.19391i | 0.313233 | + | 0.0919734i | 0.434570 | − | 0.900638i | \(-0.356900\pi\) |
−0.121338 | + | 0.992611i | \(0.538718\pi\) | |||||||
\(570\) | −15.6458 | − | 12.5334i | −0.655330 | − | 0.524968i | ||||
\(571\) | 3.33706 | + | 11.3650i | 0.139652 | + | 0.475609i | 0.999382 | − | 0.0351378i | \(-0.0111870\pi\) |
−0.859731 | + | 0.510747i | \(0.829369\pi\) | |||||||
\(572\) | −8.41450 | − | 3.84277i | −0.351828 | − | 0.160674i | ||||
\(573\) | −31.6634 | − | 20.0289i | −1.32276 | − | 0.836721i | ||||
\(574\) | 11.6198i | 0.485001i | ||||||||
\(575\) | −2.67174 | + | 23.8299i | −0.111419 | + | 0.993774i | ||||
\(576\) | −0.469555 | − | 2.96303i | −0.0195648 | − | 0.123459i | ||||
\(577\) | −21.9851 | + | 3.16098i | −0.915252 | + | 0.131593i | −0.583817 | − | 0.811885i | \(-0.698442\pi\) |
−0.331434 | + | 0.943478i | \(0.607533\pi\) | |||||||
\(578\) | −4.19002 | + | 9.17486i | −0.174282 | + | 0.381624i | ||||
\(579\) | −5.56401 | − | 2.49286i | −0.231232 | − | 0.103600i | ||||
\(580\) | 0.188532 | + | 5.99836i | 0.00782837 | + | 0.249068i | ||||
\(581\) | 8.08064 | − | 27.5201i | 0.335242 | − | 1.14173i | ||||
\(582\) | −0.981089 | + | 7.18985i | −0.0406675 | + | 0.298029i | ||||
\(583\) | 47.5015 | − | 21.6932i | 1.96731 | − | 0.898440i | ||||
\(584\) | −5.36910 | + | 4.65235i | −0.222175 | + | 0.192516i | ||||
\(585\) | −4.34182 | − | 12.6189i | −0.179512 | − | 0.521727i | ||||
\(586\) | −30.3744 | − | 4.36718i | −1.25476 | − | 0.180407i | ||||
\(587\) | 1.61819 | − | 11.2547i | 0.0667898 | − | 0.464533i | −0.928789 | − | 0.370608i | \(-0.879149\pi\) |
0.995579 | − | 0.0939253i | \(-0.0299415\pi\) | |||||||
\(588\) | 12.5572 | − | 3.78530i | 0.517850 | − | 0.156103i | ||||
\(589\) | −18.9027 | + | 16.3793i | −0.778874 | + | 0.674898i | ||||
\(590\) | −1.92324 | − | 0.806293i | −0.0791786 | − | 0.0331946i | ||||
\(591\) | 4.92614 | − | 36.1009i | 0.202634 | − | 1.48499i | ||||
\(592\) | −9.10971 | − | 2.67485i | −0.374407 | − | 0.109936i | ||||
\(593\) | −6.73764 | + | 7.77565i | −0.276682 | + | 0.319308i | −0.877034 | − | 0.480428i | \(-0.840481\pi\) |
0.600353 | + | 0.799735i | \(0.295027\pi\) | |||||||
\(594\) | 23.3246 | + | 6.30615i | 0.957019 | + | 0.258744i | ||||
\(595\) | 6.99661 | + | 21.3256i | 0.286833 | + | 0.874265i | ||||
\(596\) | −1.54016 | − | 10.7120i | −0.0630873 | − | 0.438782i | ||||
\(597\) | 36.3834 | + | 31.0717i | 1.48907 | + | 1.27168i | ||||
\(598\) | 5.40976 | − | 7.85858i | 0.221221 | − | 0.321361i | ||||
\(599\) | − | 5.79460i | − | 0.236761i | −0.992968 | − | 0.118381i | \(-0.962230\pi\) | ||
0.992968 | − | 0.118381i | \(-0.0377703\pi\) | |||||||
\(600\) | −5.19944 | + | 6.92574i | −0.212266 | + | 0.282742i | ||||
\(601\) | −10.2917 | + | 22.5356i | −0.419806 | + | 0.919247i | 0.575066 | + | 0.818107i | \(0.304976\pi\) |
−0.994872 | + | 0.101140i | \(0.967751\pi\) | |||||||
\(602\) | 11.6174 | − | 3.41118i | 0.473490 | − | 0.139029i | ||||
\(603\) | −6.93053 | − | 4.31459i | −0.282233 | − | 0.175704i | ||||
\(604\) | −8.58581 | − | 2.52102i | −0.349352 | − | 0.102579i | ||||
\(605\) | −22.9891 | − | 5.97254i | −0.934641 | − | 0.242818i | ||||
\(606\) | −2.77179 | + | 9.69696i | −0.112596 | + | 0.393912i | ||||
\(607\) | −33.8686 | + | 29.3474i | −1.37469 | + | 1.19117i | −0.415094 | + | 0.909779i | \(0.636251\pi\) |
−0.959592 | + | 0.281393i | \(0.909203\pi\) | |||||||
\(608\) | 2.79840 | − | 4.35440i | 0.113490 | − | 0.176594i | ||||
\(609\) | −13.3272 | + | 11.7168i | −0.540046 | + | 0.474787i | ||||
\(610\) | 15.4170 | + | 22.4088i | 0.624216 | + | 0.907306i | ||||
\(611\) | −10.9442 | + | 17.0295i | −0.442755 | + | 0.688941i | ||||
\(612\) | 6.03505 | + | 5.07947i | 0.243953 | + | 0.205326i | ||||
\(613\) | 14.2059 | + | 31.1065i | 0.573770 | + | 1.25638i | 0.944766 | + | 0.327746i | \(0.106289\pi\) |
−0.370996 | + | 0.928635i | \(0.620984\pi\) | |||||||
\(614\) | 15.4504 | + | 24.0413i | 0.623526 | + | 0.970226i | ||||
\(615\) | 2.88236 | − | 11.4314i | 0.116228 | − | 0.460957i | ||||
\(616\) | −11.6242 | + | 13.4150i | −0.468351 | + | 0.540506i | ||||
\(617\) | −4.93341 | − | 16.8016i | −0.198611 | − | 0.676409i | −0.997217 | − | 0.0745538i | \(-0.976247\pi\) |
0.798605 | − | 0.601855i | \(-0.205571\pi\) | |||||||
\(618\) | 10.0479 | + | 21.5900i | 0.404185 | + | 0.868479i | ||||
\(619\) | 32.7292 | − | 4.70576i | 1.31550 | − | 0.189140i | 0.551401 | − | 0.834240i | \(-0.314093\pi\) |
0.764098 | + | 0.645100i | \(0.223184\pi\) | |||||||
\(620\) | 7.32891 | + | 7.93967i | 0.294336 | + | 0.318865i | ||||
\(621\) | −10.5815 | + | 22.5617i | −0.424621 | + | 0.905371i | ||||
\(622\) | 17.0030i | 0.681759i | ||||||||
\(623\) | 7.52454 | + | 52.3343i | 0.301464 | + | 2.09673i | ||||
\(624\) | 3.12392 | − | 1.45385i | 0.125057 | − | 0.0582006i | ||||
\(625\) | 24.8028 | − | 3.13376i | 0.992113 | − | 0.125350i | ||||
\(626\) | 0.958412 | − | 1.10607i | 0.0383059 | − | 0.0442073i | ||||
\(627\) | 22.7897 | + | 34.9076i | 0.910131 | + | 1.39407i | ||||
\(628\) | 11.2629 | − | 7.23824i | 0.449439 | − | 0.288837i | ||||
\(629\) | 22.7082 | − | 10.3705i | 0.905434 | − | 0.413498i | ||||
\(630\) | −25.5807 | + | 1.17204i | −1.01916 | + | 0.0466950i | ||||
\(631\) | 9.34723 | − | 14.5446i | 0.372107 | − | 0.579010i | −0.603816 | − | 0.797124i | \(-0.706354\pi\) |
0.975923 | + | 0.218113i | \(0.0699902\pi\) | |||||||
\(632\) | 8.06758 | + | 1.15994i | 0.320911 | + | 0.0461400i | ||||
\(633\) | −19.0948 | − | 21.7194i | −0.758951 | − | 0.863269i | ||||
\(634\) | 2.43854 | + | 1.56716i | 0.0968469 | + | 0.0622397i | ||||
\(635\) | 32.3187 | + | 3.61459i | 1.28253 | + | 0.143441i | ||||
\(636\) | −5.34590 | + | 18.7023i | −0.211979 | + | 0.741596i | ||||
\(637\) | 8.14401 | + | 12.6723i | 0.322678 | + | 0.502096i | ||||
\(638\) | 3.51601 | − | 11.9744i | 0.139200 | − | 0.474073i | ||||
\(639\) | 8.03040 | − | 12.8993i | 0.317678 | − | 0.510287i | ||||
\(640\) | −1.91815 | − | 1.14922i | −0.0758215 | − | 0.0454268i | ||||
\(641\) | 5.84502 | − | 12.7988i | 0.230864 | − | 0.505522i | −0.758377 | − | 0.651816i | \(-0.774007\pi\) |
0.989241 | + | 0.146294i | \(0.0467346\pi\) | |||||||
\(642\) | −17.4503 | + | 27.5868i | −0.688708 | + | 1.08877i | ||||
\(643\) | 27.4053 | 1.08076 | 0.540379 | − | 0.841421i | \(-0.318281\pi\) | ||||
0.540379 | + | 0.841421i | \(0.318281\pi\) | |||||||
\(644\) | −11.5443 | − | 14.2087i | −0.454911 | − | 0.559902i | ||||
\(645\) | −12.2752 | + | 0.474090i | −0.483334 | + | 0.0186673i | ||||
\(646\) | 1.93689 | + | 13.4714i | 0.0762060 | + | 0.530024i | ||||
\(647\) | −4.42965 | + | 9.69958i | −0.174147 | + | 0.381330i | −0.976499 | − | 0.215522i | \(-0.930855\pi\) |
0.802352 | + | 0.596852i | \(0.203582\pi\) | |||||||
\(648\) | −7.42838 | + | 5.08125i | −0.291814 | + | 0.199610i | ||||
\(649\) | 3.27746 | + | 2.83994i | 0.128652 | + | 0.111477i | ||||
\(650\) | −9.28951 | − | 3.55567i | −0.364365 | − | 0.139465i | ||||
\(651\) | −4.31967 | + | 31.6564i | −0.169301 | + | 1.24071i | ||||
\(652\) | 17.5480 | − | 8.01388i | 0.687231 | − | 0.313848i | ||||
\(653\) | 8.93581 | + | 10.3125i | 0.349685 | + | 0.403558i | 0.903158 | − | 0.429309i | \(-0.141243\pi\) |
−0.553472 | + | 0.832868i | \(0.686697\pi\) | |||||||
\(654\) | −4.03071 | − | 13.3713i | −0.157613 | − | 0.522860i | ||||
\(655\) | 5.37080 | + | 7.80653i | 0.209855 | + | 0.305026i | ||||
\(656\) | 3.01296 | + | 0.433198i | 0.117636 | + | 0.0169136i | ||||
\(657\) | 19.5122 | + | 8.57435i | 0.761242 | + | 0.334517i | ||||
\(658\) | 25.4375 | + | 29.3565i | 0.991659 | + | 1.14444i | ||||
\(659\) | 5.09394 | + | 11.1542i | 0.198432 | + | 0.434505i | 0.982523 | − | 0.186141i | \(-0.0595980\pi\) |
−0.784092 | + | 0.620645i | \(0.786871\pi\) | |||||||
\(660\) | 14.7633 | − | 10.3140i | 0.574662 | − | 0.401473i | ||||
\(661\) | 6.55010 | − | 22.3076i | 0.254769 | − | 0.867665i | −0.728428 | − | 0.685122i | \(-0.759749\pi\) |
0.983198 | − | 0.182543i | \(-0.0584329\pi\) | |||||||
\(662\) | −8.59661 | + | 9.92102i | −0.334117 | + | 0.385591i | ||||
\(663\) | −3.70435 | + | 8.26804i | −0.143865 | + | 0.321104i | ||||
\(664\) | −6.83460 | − | 3.12126i | −0.265234 | − | 0.121128i | ||||
\(665\) | −34.2832 | − | 27.8700i | −1.32944 | − | 1.08075i | ||||
\(666\) | 4.45809 | + | 28.1318i | 0.172748 | + | 1.09009i | ||||
\(667\) | 11.5329 | + | 5.71528i | 0.446557 | + | 0.221297i | ||||
\(668\) | −14.4596 | −0.559460 | ||||||||
\(669\) | −2.86947 | + | 4.53629i | −0.110940 | + | 0.175383i | ||||
\(670\) | −5.78173 | + | 1.89690i | −0.223368 | + | 0.0732836i | ||||
\(671\) | −15.9357 | − | 54.2721i | −0.615192 | − | 2.09515i | ||||
\(672\) | −0.987944 | − | 6.53761i | −0.0381108 | − | 0.252194i | ||||
\(673\) | 9.23387 | − | 31.4477i | 0.355940 | − | 1.21222i | −0.565844 | − | 0.824513i | \(-0.691449\pi\) |
0.921783 | − | 0.387706i | \(-0.126732\pi\) | |||||||
\(674\) | −19.5367 | + | 12.5554i | −0.752524 | + | 0.483618i | ||||
\(675\) | 25.4566 | + | 5.19242i | 0.979825 | + | 0.199856i | ||||
\(676\) | −5.92157 | − | 6.83386i | −0.227753 | − | 0.262841i | ||||
\(677\) | 10.4276 | − | 16.2257i | 0.400767 | − | 0.623606i | −0.580953 | − | 0.813937i | \(-0.697320\pi\) |
0.981720 | + | 0.190332i | \(0.0609563\pi\) | |||||||
\(678\) | −10.0865 | + | 8.86761i | −0.387369 | + | 0.340559i | ||||
\(679\) | −2.27602 | + | 15.8301i | −0.0873458 | + | 0.607503i | ||||
\(680\) | 5.79048 | − | 1.01915i | 0.222055 | − | 0.0390826i | ||||
\(681\) | 0.113733 | + | 15.8346i | 0.00435827 | + | 0.606784i | ||||
\(682\) | −9.33425 | − | 20.4392i | −0.357427 | − | 0.782656i | ||||
\(683\) | 33.5558 | − | 21.5650i | 1.28398 | − | 0.825163i | 0.292605 | − | 0.956233i | \(-0.405478\pi\) |
0.991373 | + | 0.131071i | \(0.0418415\pi\) | |||||||
\(684\) | −15.4004 | − | 1.98889i | −0.588847 | − | 0.0760471i | ||||
\(685\) | −0.148401 | − | 4.72153i | −0.00567010 | − | 0.180400i | ||||
\(686\) | 2.09558 | − | 0.615319i | 0.0800098 | − | 0.0234930i | ||||
\(687\) | −31.2839 | + | 14.5593i | −1.19356 | + | 0.555474i | ||||
\(688\) | −0.451394 | − | 3.13951i | −0.0172092 | − | 0.119693i | ||||
\(689\) | −22.3409 | −0.851121 | ||||||||
\(690\) | 7.83257 | + | 16.8419i | 0.298181 | + | 0.641162i | ||||
\(691\) | 21.6697 | 0.824355 | 0.412177 | − | 0.911104i | \(-0.364768\pi\) | ||||
0.412177 | + | 0.911104i | \(0.364768\pi\) | |||||||
\(692\) | −1.28146 | − | 8.91273i | −0.0487137 | − | 0.338811i | ||||
\(693\) | 51.3050 | + | 14.2673i | 1.94891 | + | 0.541969i | ||||
\(694\) | 23.6986 | − | 6.95853i | 0.899586 | − | 0.264142i | ||||
\(695\) | −8.91320 | + | 0.280147i | −0.338097 | + | 0.0106266i | ||||
\(696\) | 2.54125 | + | 3.89250i | 0.0963258 | + | 0.147545i | ||||
\(697\) | −6.73314 | + | 4.32713i | −0.255036 | + | 0.163902i | ||||
\(698\) | −13.7215 | − | 30.0460i | −0.519368 | − | 1.13726i | ||||
\(699\) | −8.28145 | + | 0.0594821i | −0.313233 | + | 0.00224982i | ||||
\(700\) | −11.5686 | + | 15.1813i | −0.437253 | + | 0.573798i | ||||
\(701\) | −1.64319 | + | 11.4286i | −0.0620625 | + | 0.431654i | 0.934974 | + | 0.354718i | \(0.115423\pi\) |
−0.997036 | + | 0.0769365i | \(0.975486\pi\) | |||||||
\(702\) | −7.95619 | − | 6.59938i | −0.300287 | − | 0.249078i | ||||
\(703\) | −26.5688 | + | 41.3419i | −1.00206 | + | 1.55924i | ||||
\(704\) | 3.04509 | + | 3.51422i | 0.114766 | + | 0.132447i | ||||
\(705\) | −17.7430 | − | 35.1904i | −0.668239 | − | 1.32535i | ||||
\(706\) | 4.94692 | − | 3.17919i | 0.186180 | − | 0.119651i | ||||
\(707\) | −6.26222 | + | 21.3272i | −0.235515 | + | 0.802090i | ||||
\(708\) | −1.59722 | + | 0.241367i | −0.0600273 | + | 0.00907114i | ||||
\(709\) | −1.87388 | − | 6.38183i | −0.0703749 | − | 0.239675i | 0.916792 | − | 0.399364i | \(-0.130769\pi\) |
−0.987167 | + | 0.159689i | \(0.948951\pi\) | |||||||
\(710\) | −3.53055 | − | 10.7611i | −0.132499 | − | 0.403856i | ||||
\(711\) | −7.22511 | − | 23.3598i | −0.270963 | − | 0.876060i | ||||
\(712\) | 13.8506 | 0.519072 | ||||||||
\(713\) | 22.4314 | − | 5.82115i | 0.840064 | − | 0.218004i | ||||
\(714\) | 13.2202 | + | 11.2901i | 0.494753 | + | 0.422523i | ||||
\(715\) | 16.0502 | + | 13.0478i | 0.600244 | + | 0.487959i | ||||
\(716\) | −0.217954 | − | 0.0995364i | −0.00814533 | − | 0.00371985i | ||||
\(717\) | −23.1156 | − | 10.3566i | −0.863270 | − | 0.386773i | ||||
\(718\) | 17.1519 | − | 19.7944i | 0.640104 | − | 0.738720i | ||||
\(719\) | −9.85108 | + | 33.5497i | −0.367383 | + | 1.25119i | 0.543809 | + | 0.839209i | \(0.316982\pi\) |
−0.911192 | + | 0.411983i | \(0.864836\pi\) | |||||||
\(720\) | −0.649773 | + | 6.67666i | −0.0242156 | + | 0.248824i | ||||
\(721\) | 21.8026 | + | 47.7411i | 0.811973 | + | 1.77797i | ||||
\(722\) | −5.10257 | − | 5.88868i | −0.189898 | − | 0.219154i | ||||
\(723\) | 2.47129 | + | 8.19815i | 0.0919082 | + | 0.304892i | ||||
\(724\) | −15.8972 | − | 2.28567i | −0.590814 | − | 0.0849463i | ||||
\(725\) | 2.96462 | − | 13.0878i | 0.110103 | − | 0.486069i | ||||
\(726\) | −17.6155 | + | 5.31010i | −0.653773 | + | 0.197076i | ||||
\(727\) | −32.7517 | − | 37.7975i | −1.21469 | − | 1.40183i | −0.889968 | − | 0.456022i | \(-0.849274\pi\) |
−0.324725 | − | 0.945809i | \(-0.605272\pi\) | |||||||
\(728\) | 6.90778 | − | 3.15468i | 0.256019 | − | 0.116920i | ||||
\(729\) | 23.3216 | + | 13.6052i | 0.863764 | + | 0.503897i | ||||
\(730\) | 14.2358 | − | 7.04989i | 0.526889 | − | 0.260928i | ||||
\(731\) | 6.30285 | + | 5.46145i | 0.233119 | + | 0.201999i | ||||
\(732\) | 19.2274 | + | 8.61450i | 0.710665 | + | 0.318401i | ||||
\(733\) | 8.63708 | − | 18.9126i | 0.319018 | − | 0.698552i | −0.680394 | − | 0.732847i | \(-0.738191\pi\) |
0.999412 | + | 0.0342949i | \(0.0109185\pi\) | |||||||
\(734\) | 1.28651 | + | 8.94788i | 0.0474860 | + | 0.330272i | ||||
\(735\) | −29.3049 | + | 1.13181i | −1.08093 | + | 0.0417475i | ||||
\(736\) | −4.11464 | + | 2.46368i | −0.151668 | + | 0.0908125i | ||||
\(737\) | 12.6539 | 0.466112 | ||||||||
\(738\) | −2.69833 | − | 8.72407i | −0.0993269 | − | 0.321137i | ||||
\(739\) | −5.32461 | + | 11.6593i | −0.195869 | + | 0.428893i | −0.981927 | − | 0.189259i | \(-0.939391\pi\) |
0.786058 | + | 0.618153i | \(0.212119\pi\) | |||||||
\(740\) | 18.2115 | + | 10.9110i | 0.669467 | + | 0.401097i | ||||
\(741\) | −2.66491 | − | 17.6348i | −0.0978980 | − | 0.647830i | ||||
\(742\) | −12.0778 | + | 41.1333i | −0.443391 | + | 1.51005i | ||||
\(743\) | −23.5673 | − | 36.6715i | −0.864602 | − | 1.34535i | −0.937492 | − | 0.348007i | \(-0.886858\pi\) |
0.0728897 | − | 0.997340i | \(-0.476778\pi\) | |||||||
\(744\) | 8.04733 | + | 2.30026i | 0.295029 | + | 0.0843316i | ||||
\(745\) | −2.68972 | + | 24.0492i | −0.0985436 | + | 0.881094i | ||||
\(746\) | 27.5392 | + | 17.6984i | 1.00828 | + | 0.647984i | ||||
\(747\) | 0.323784 | + | 22.5384i | 0.0118466 | + | 0.824638i | ||||
\(748\) | −12.1021 | − | 1.74003i | −0.442498 | − | 0.0636216i | ||||
\(749\) | −38.8952 | + | 60.5221i | −1.42120 | + | 2.21143i | ||||
\(750\) | 15.1468 | − | 12.0654i | 0.553084 | − | 0.440566i | ||||
\(751\) | 27.4902 | − | 12.5543i | 1.00313 | − | 0.458115i | 0.155008 | − | 0.987913i | \(-0.450460\pi\) |
0.848123 | + | 0.529799i | \(0.177733\pi\) | |||||||
\(752\) | 8.56035 | − | 5.50140i | 0.312164 | − | 0.200616i | ||||
\(753\) | 28.4805 | − | 18.5937i | 1.03789 | − | 0.677593i | ||||
\(754\) | −3.49641 | + | 4.03507i | −0.127332 | + | 0.146949i | ||||
\(755\) | 17.1641 | + | 10.2835i | 0.624667 | + | 0.374256i | ||||
\(756\) | −16.4518 | + | 11.0809i | −0.598345 | + | 0.403009i | ||||
\(757\) | −4.92737 | − | 34.2706i | −0.179088 | − | 1.24559i | −0.858878 | − | 0.512180i | \(-0.828838\pi\) |
0.679790 | − | 0.733407i | \(-0.262071\pi\) | |||||||
\(758\) | − | 17.2558i | − | 0.626760i | ||||||
\(759\) | −4.55839 | − | 38.3557i | −0.165459 | − | 1.39223i | ||||
\(760\) | −8.50468 | + | 7.85046i | −0.308497 | + | 0.284766i | ||||
\(761\) | 2.72082 | − | 0.391195i | 0.0986296 | − | 0.0141808i | −0.0928233 | − | 0.995683i | \(-0.529589\pi\) |
0.191453 | + | 0.981502i | \(0.438680\pi\) | |||||||
\(762\) | 22.8379 | − | 10.6286i | 0.827330 | − | 0.385034i | ||||
\(763\) | −8.67159 | − | 29.5327i | −0.313932 | − | 1.06916i | ||||
\(764\) | −14.1654 | + | 16.3478i | −0.512487 | + | 0.591442i | ||||
\(765\) | −10.2052 | − | 14.3864i | −0.368970 | − | 0.520141i | ||||
\(766\) | −5.52757 | − | 8.60106i | −0.199719 | − | 0.310769i | ||||
\(767\) | −0.770728 | − | 1.68766i | −0.0278294 | − | 0.0609379i | ||||
\(768\) | −1.73201 | + | 0.0124402i | −0.0624984 | + | 0.000448899i | ||||
\(769\) | −10.5539 | + | 16.4221i | −0.380582 | + | 0.592197i | −0.977713 | − | 0.209947i | \(-0.932671\pi\) |
0.597131 | + | 0.802144i | \(0.296307\pi\) | |||||||
\(770\) | 32.7000 | − | 22.4973i | 1.17843 | − | 0.810745i | ||||
\(771\) | 23.9061 | + | 27.1920i | 0.860956 | + | 0.979295i | ||||
\(772\) | −1.90309 | + | 2.96126i | −0.0684937 | + | 0.106578i | ||||
\(773\) | 14.6560 | − | 12.6995i | 0.527141 | − | 0.456770i | −0.350175 | − | 0.936684i | \(-0.613878\pi\) |
0.877315 | + | 0.479914i | \(0.159332\pi\) | |||||||
\(774\) | −7.93013 | + | 5.25886i | −0.285043 | + | 0.189026i | ||||
\(775\) | −11.3972 | − | 21.3040i | −0.409401 | − | 0.765261i | ||||
\(776\) | 4.01982 | + | 1.18033i | 0.144303 | + | 0.0423713i | ||||
\(777\) | 9.37983 | + | 62.0700i | 0.336499 | + | 2.22675i | ||||
\(778\) | 17.0040 | − | 4.99283i | 0.609624 | − | 0.179002i | ||||
\(779\) | 6.54516 | − | 14.3319i | 0.234505 | − | 0.513494i | ||||
\(780\) | −7.57830 | + | 1.39000i | −0.271347 | + | 0.0497700i | ||||
\(781\) | 23.5517i | 0.842745i | ||||||||
\(782\) | 3.93427 | − | 11.9806i | 0.140689 | − | 0.428427i | ||||
\(783\) | 7.28515 | − | 11.8917i | 0.260350 | − | 0.424974i | ||||
\(784\) | −1.07763 | − | 7.49507i | −0.0384867 | − | 0.267681i | ||||
\(785\) | −28.4453 | + | 9.33246i | −1.01525 | + | 0.333090i | ||||
\(786\) | 6.69823 | + | 3.00102i | 0.238918 | + | 0.107043i | ||||
\(787\) | −10.9098 | + | 12.5906i | −0.388892 | + | 0.448805i | −0.916111 | − | 0.400924i | \(-0.868689\pi\) |
0.527220 | + | 0.849729i | \(0.323235\pi\) | |||||||
\(788\) | −20.1839 | − | 5.92653i | −0.719022 | − | 0.211124i | ||||
\(789\) | 1.95397 | + | 0.266629i | 0.0695633 | + | 0.00949225i | ||||
\(790\) | −16.8079 | − | 7.04646i | −0.597997 | − | 0.250702i | ||||
\(791\) | −22.3698 | + | 19.3836i | −0.795380 | + | 0.689201i | ||||
\(792\) | 5.61215 | − | 12.7713i | 0.199419 | − | 0.453807i | ||||
\(793\) | −3.44385 | + | 23.9525i | −0.122295 | + | 0.850579i | ||||
\(794\) | −16.8211 | − | 2.41851i | −0.596959 | − | 0.0858298i | ||||
\(795\) | 22.0853 | − | 37.4703i | 0.783286 | − | 1.32893i | ||||
\(796\) | 20.8766 | − | 18.0897i | 0.739951 | − | 0.641171i | ||||
\(797\) | −20.9008 | + | 9.54509i | −0.740346 | + | 0.338105i | −0.749634 | − | 0.661852i | \(-0.769771\pi\) |
0.00928857 | + | 0.999957i | \(0.497043\pi\) | |||||||
\(798\) | −33.9092 | − | 4.62707i | −1.20037 | − | 0.163797i | ||||
\(799\) | −7.53799 | + | 25.6720i | −0.266675 | + | 0.908212i | ||||
\(800\) | 3.50514 | + | 3.56567i | 0.123926 | + | 0.126065i | ||||
\(801\) | −17.8024 | − | 37.5449i | −0.629016 | − | 1.32659i | ||||
\(802\) | 2.32448 | − | 5.08991i | 0.0820803 | − | 0.179731i | ||||
\(803\) | −32.6988 | + | 4.70138i | −1.15392 | + | 0.165908i | ||||
\(804\) | −3.06095 | + | 3.58421i | −0.107951 | + | 0.126406i | ||||
\(805\) | 16.9955 | + | 37.2418i | 0.599013 | + | 1.31260i | ||||
\(806\) | 9.61295i | 0.338602i | ||||||||
\(807\) | −8.35322 | + | 13.2054i | −0.294047 | + | 0.464854i | ||||
\(808\) | 5.29658 | + | 2.41887i | 0.186333 | + | 0.0850954i | ||||
\(809\) | 4.67057 | + | 15.9065i | 0.164208 | + | 0.559243i | 0.999949 | + | 0.0101178i | \(0.00322066\pi\) |
−0.835740 | + | 0.549125i | \(0.814961\pi\) | |||||||
\(810\) | 18.9337 | − | 6.82027i | 0.665261 | − | 0.239640i | ||||
\(811\) | −37.7898 | − | 11.0961i | −1.32698 | − | 0.389637i | −0.459974 | − | 0.887932i | \(-0.652141\pi\) |
−0.867007 | + | 0.498296i | \(0.833959\pi\) | |||||||
\(812\) | 5.53902 | + | 8.61888i | 0.194381 | + | 0.302463i | ||||
\(813\) | −0.376437 | − | 0.107601i | −0.0132022 | − | 0.00377374i | ||||
\(814\) | −28.9110 | − | 33.3651i | −1.01333 | − | 1.16944i | ||||
\(815\) | −42.4836 | + | 7.47729i | −1.48814 | + | 0.261918i | ||||
\(816\) | 3.42034 | − | 3.00703i | 0.119736 | − | 0.105267i | ||||
\(817\) | −16.2504 | − | 2.33645i | −0.568529 | − | 0.0817421i | ||||
\(818\) | 23.5013 | + | 15.1033i | 0.821702 | + | 0.528076i | ||||
\(819\) | −17.4301 | − | 14.6703i | −0.609057 | − | 0.512620i | ||||
\(820\) | −6.27715 | − | 2.63161i | −0.219208 | − | 0.0918998i | ||||
\(821\) | 7.17674 | + | 11.1672i | 0.250470 | + | 0.389739i | 0.943607 | − | 0.331067i | \(-0.107408\pi\) |
−0.693137 | + | 0.720805i | \(0.743772\pi\) | |||||||
\(822\) | −2.00031 | − | 3.06393i | −0.0697689 | − | 0.106867i | ||||
\(823\) | −27.1918 | − | 23.5618i | −0.947847 | − | 0.821314i | 0.0361782 | − | 0.999345i | \(-0.488482\pi\) |
−0.984025 | + | 0.178032i | \(0.943027\pi\) | |||||||
\(824\) | 13.1919 | − | 3.87349i | 0.459561 | − | 0.134939i | ||||
\(825\) | −37.7503 | + | 14.0210i | −1.31430 | + | 0.488148i | ||||
\(826\) | −3.52392 | + | 0.506664i | −0.122613 | + | 0.0176291i | ||||
\(827\) | 13.7417i | 0.477846i | 0.971039 | + | 0.238923i | \(0.0767943\pi\) | ||||
−0.971039 | + | 0.238923i | \(0.923206\pi\) | |||||||
\(828\) | 11.9669 | + | 7.98701i | 0.415880 | + | 0.277568i | ||||
\(829\) | −30.8553 | −1.07165 | −0.535824 | − | 0.844330i | \(-0.679999\pi\) | ||||
−0.535824 | + | 0.844330i | \(0.679999\pi\) | |||||||
\(830\) | 13.0366 | + | 10.5979i | 0.452508 | + | 0.367859i | ||||
\(831\) | 12.8476 | − | 5.97921i | 0.445680 | − | 0.207417i | ||||
\(832\) | −0.560465 | − | 1.90877i | −0.0194306 | − | 0.0661746i | ||||
\(833\) | 15.0470 | + | 13.0383i | 0.521348 | + | 0.451751i | ||||
\(834\) | −5.78402 | + | 3.77614i | −0.200284 | + | 0.130757i | ||||
\(835\) | 31.2939 | + | 8.13010i | 1.08297 | + | 0.281354i | ||||
\(836\) | 21.8937 | − | 9.99850i | 0.757208 | − | 0.345805i | ||||
\(837\) | −4.10802 | − | 24.7706i | −0.141994 | − | 0.856196i | ||||
\(838\) | 26.7820 | + | 17.2117i | 0.925169 | + | 0.594570i | ||||
\(839\) | −0.673592 | + | 4.68494i | −0.0232550 | + | 0.161742i | −0.998140 | − | 0.0609681i | \(-0.980581\pi\) |
0.974885 | + | 0.222710i | \(0.0714903\pi\) | |||||||
\(840\) | −1.53772 | + | 14.7043i | −0.0530562 | + | 0.507348i | ||||
\(841\) | 18.3367 | + | 11.7843i | 0.632298 | + | 0.406354i | ||||
\(842\) | −23.5131 | + | 20.3742i | −0.810316 | + | 0.702142i | ||||
\(843\) | 35.5090 | + | 10.1499i | 1.22300 | + | 0.349583i | ||||
\(844\) | −14.0462 | + | 9.02695i | −0.483490 | + | 0.310720i | ||||
\(845\) | 8.97319 | + | 18.1195i | 0.308687 | + | 0.623328i | ||||
\(846\) | −25.9155 | − | 16.1336i | −0.890992 | − | 0.554685i | ||||
\(847\) | −38.9067 | + | 11.4240i | −1.33685 | + | 0.392534i | ||||
\(848\) | 10.2154 | + | 4.66522i | 0.350799 | + | 0.160204i | ||||
\(849\) | 16.8912 | + | 10.6847i | 0.579704 | + | 0.366697i | ||||
\(850\) | −13.1049 | − | 1.05010i | −0.449495 | − | 0.0360180i | ||||
\(851\) | 39.0656 | − | 23.3909i | 1.33915 | − | 0.801830i | ||||
\(852\) | −6.67102 | − | 5.69710i | −0.228545 | − | 0.195179i | ||||
\(853\) | −10.8612 | + | 1.56161i | −0.371882 | + | 0.0534686i | −0.325722 | − | 0.945465i | \(-0.605607\pi\) |
−0.0461598 | + | 0.998934i | \(0.514698\pi\) | |||||||
\(854\) | 42.2387 | + | 19.2898i | 1.44538 | + | 0.660082i | ||||
\(855\) | 32.2115 | + | 12.9634i | 1.10161 | + | 0.443340i | ||||
\(856\) | 14.2431 | + | 12.3417i | 0.486818 | + | 0.421830i | ||||
\(857\) | 26.3987 | + | 7.75136i | 0.901763 | + | 0.264782i | 0.699570 | − | 0.714564i | \(-0.253375\pi\) |
0.202193 | + | 0.979346i | \(0.435193\pi\) | |||||||
\(858\) | 15.8751 | + | 2.16624i | 0.541968 | + | 0.0739541i | ||||
\(859\) | −19.7013 | − | 43.1398i | −0.672199 | − | 1.47191i | −0.870703 | − | 0.491810i | \(-0.836335\pi\) |
0.198504 | − | 0.980100i | \(-0.436392\pi\) | |||||||
\(860\) | −0.788310 | + | 7.04841i | −0.0268811 | + | 0.240349i | ||||
\(861\) | −5.80872 | − | 19.2696i | −0.197961 | − | 0.656706i | ||||
\(862\) | 3.65505 | − | 25.4215i | 0.124492 | − | 0.865859i | ||||
\(863\) | 3.95732 | − | 27.5238i | 0.134709 | − | 0.936920i | −0.804593 | − | 0.593827i | \(-0.797616\pi\) |
0.939301 | − | 0.343093i | \(-0.111475\pi\) | |||||||
\(864\) | 2.25990 | + | 4.67898i | 0.0768832 | + | 0.159182i | ||||
\(865\) | −2.23792 | + | 20.0097i | −0.0760917 | + | 0.680349i | ||||
\(866\) | −12.3277 | − | 26.9938i | −0.418911 | − | 0.917288i | ||||
\(867\) | 2.36198 | − | 17.3096i | 0.0802172 | − | 0.587866i | ||||
\(868\) | 17.6990 | + | 5.19690i | 0.600744 | + | 0.176394i | ||||
\(869\) | 28.6428 | + | 24.8191i | 0.971641 | + | 0.841932i | ||||
\(870\) | −3.31123 | − | 9.85309i | −0.112261 | − | 0.334051i | ||||
\(871\) | −4.92435 | − | 2.24888i | −0.166855 | − | 0.0762002i | ||||
\(872\) | −7.98099 | + | 1.14749i | −0.270270 | + | 0.0388590i | ||||
\(873\) | −1.96721 | − | 12.4137i | −0.0665801 | − | 0.420139i | ||||
\(874\) | 6.23540 | + | 24.0277i | 0.210916 | + | 0.812750i | ||||
\(875\) | 33.5729 | − | 26.3510i | 1.13497 | − | 0.890828i | ||||
\(876\) | 6.57810 | − | 10.3992i | 0.222253 | − | 0.351356i | ||||
\(877\) | 2.93588 | + | 1.34077i | 0.0991377 | + | 0.0452747i | 0.464367 | − | 0.885643i | \(-0.346282\pi\) |
−0.365229 | + | 0.930918i | \(0.619009\pi\) | |||||||
\(878\) | 23.9008 | − | 7.01791i | 0.806613 | − | 0.236843i | ||||
\(879\) | 52.5543 | − | 7.94185i | 1.77261 | − | 0.267872i | ||||
\(880\) | −4.61435 | − | 9.31770i | −0.155550 | − | 0.314100i | ||||
\(881\) | −22.6678 | + | 14.5677i | −0.763699 | + | 0.490799i | −0.863587 | − | 0.504199i | \(-0.831788\pi\) |
0.0998887 | + | 0.994999i | \(0.468151\pi\) | |||||||
\(882\) | −18.9319 | + | 12.5547i | −0.637470 | + | 0.422737i | ||||
\(883\) | −25.4111 | + | 22.0189i | −0.855153 | + | 0.740994i | −0.967553 | − | 0.252669i | \(-0.918692\pi\) |
0.112400 | + | 0.993663i | \(0.464146\pi\) | |||||||
\(884\) | 4.40040 | + | 2.82796i | 0.148001 | + | 0.0951147i | ||||
\(885\) | 3.59246 | + | 0.375684i | 0.120759 | + | 0.0126285i | ||||
\(886\) | −0.222399 | + | 1.54682i | −0.00747163 | + | 0.0519663i | ||||
\(887\) | −18.0351 | − | 11.5905i | −0.605559 | − | 0.389169i | 0.201630 | − | 0.979462i | \(-0.435376\pi\) |
−0.807189 | + | 0.590292i | \(0.799012\pi\) | |||||||
\(888\) | 16.4442 | − | 0.118111i | 0.551830 | − | 0.00396356i | ||||
\(889\) | 50.5005 | − | 23.0628i | 1.69373 | − | 0.773501i | ||||
\(890\) | −29.9757 | − | 7.78765i | −1.00479 | − | 0.261043i | ||||
\(891\) | −41.8326 | + | 1.20217i | −1.40144 | + | 0.0402743i | ||||
\(892\) | 2.34209 | + | 2.02943i | 0.0784188 | + | 0.0679503i | ||||
\(893\) | −14.8389 | − | 50.5368i | −0.496566 | − | 1.69115i | ||||
\(894\) | 7.90904 | + | 16.9943i | 0.264518 | + | 0.568374i | ||||
\(895\) | 0.415736 | + | 0.337966i | 0.0138965 | + | 0.0112970i | ||||
\(896\) | −3.81735 | −0.127529 | ||||||||
\(897\) | −5.04274 | + | 15.7366i | −0.168372 | + | 0.525428i | ||||
\(898\) | 30.2777i | 1.01038i | ||||||||
\(899\) | −12.8370 | + | 1.84569i | −0.428139 | + | 0.0615571i | ||||
\(900\) | 5.16028 | − | 14.0844i | 0.172009 | − | 0.469481i | ||||
\(901\) | −28.3326 | + | 8.31919i | −0.943894 | + | 0.277152i | ||||
\(902\) | 10.6971 | + | 9.26909i | 0.356174 | + | 0.308627i | ||||
\(903\) | −17.5604 | + | 11.4644i | −0.584373 | + | 0.381512i | ||||
\(904\) | 4.19211 | + | 6.52304i | 0.139427 | + | 0.216953i | ||||
\(905\) | 33.1199 | + | 13.8851i | 1.10094 | + | 0.461556i | ||||
\(906\) | 15.4985 | − | 0.111319i | 0.514902 | − | 0.00369832i | ||||
\(907\) | −24.1177 | − | 15.4995i | −0.800814 | − | 0.514652i | 0.0750673 | − | 0.997178i | \(-0.476083\pi\) |
−0.875881 | + | 0.482526i | \(0.839719\pi\) | |||||||
\(908\) | 9.04931 | + | 1.30109i | 0.300312 | + | 0.0431783i | ||||
\(909\) | −0.250922 | − | 17.4665i | −0.00832254 | − | 0.579327i | ||||
\(910\) | −16.7237 | + | 2.94345i | −0.554386 | + | 0.0975744i | ||||
\(911\) | 28.0917 | + | 32.4195i | 0.930718 | + | 1.07411i | 0.997084 | + | 0.0763109i | \(0.0243141\pi\) |
−0.0663657 | + | 0.997795i | \(0.521140\pi\) | |||||||
\(912\) | −2.46395 | + | 8.62000i | −0.0815896 | + | 0.285437i | ||||
\(913\) | −18.8889 | − | 29.3918i | −0.625133 | − | 0.972725i | ||||
\(914\) | −33.1332 | − | 9.72878i | −1.09595 | − | 0.321799i | ||||
\(915\) | −36.7688 | − | 29.4545i | −1.21554 | − | 0.973737i | ||||
\(916\) | 5.61268 | + | 19.1150i | 0.185448 | + | 0.631578i | ||||
\(917\) | 14.7147 | + | 6.71996i | 0.485921 | + | 0.221913i | ||||
\(918\) | −12.5474 | − | 5.40659i | −0.414126 | − | 0.178444i | ||||
\(919\) | − | 42.6968i | − | 1.40844i | −0.709984 | − | 0.704218i | \(-0.751298\pi\) | ||
0.709984 | − | 0.704218i | \(-0.248702\pi\) | |||||||
\(920\) | 10.2902 | − | 3.01845i | 0.339259 | − | 0.0995154i | ||||
\(921\) | −37.6402 | − | 32.1450i | −1.24029 | − | 1.05921i | ||||
\(922\) | 0.993726 | − | 0.142876i | 0.0327266 | − | 0.00470538i | ||||
\(923\) | 4.18566 | − | 9.16531i | 0.137773 | − | 0.301680i | ||||
\(924\) | 12.5707 | − | 28.0576i | 0.413546 | − | 0.923027i | ||||
\(925\) | −33.2789 | − | 33.8535i | −1.09420 | − | 1.11310i | ||||
\(926\) | 0.640373 | − | 2.18091i | 0.0210440 | − | 0.0716691i | ||||
\(927\) | −27.4556 | − | 30.7808i | −0.901762 | − | 1.01097i | ||||
\(928\) | 2.44134 | − | 1.11492i | 0.0801408 | − | 0.0365991i | ||||
\(929\) | 2.18797 | − | 1.89589i | 0.0717850 | − | 0.0622021i | −0.618229 | − | 0.785998i | \(-0.712150\pi\) |
0.690014 | + | 0.723796i | \(0.257604\pi\) | |||||||
\(930\) | −16.1229 | − | 9.50298i | −0.528690 | − | 0.311615i | ||||
\(931\) | −38.7951 | − | 5.57789i | −1.27146 | − | 0.182808i | ||||
\(932\) | −0.680467 | + | 4.73275i | −0.0222894 | + | 0.155026i | ||||
\(933\) | −8.49980 | − | 28.1969i | −0.278271 | − | 0.923124i | ||||
\(934\) | −8.66448 | + | 7.50781i | −0.283510 | + | 0.245663i | ||||
\(935\) | 25.2134 | + | 10.5704i | 0.824566 | + | 0.345688i | ||||
\(936\) | −4.45375 | + | 3.97263i | −0.145575 | + | 0.129849i | ||||
\(937\) | 3.16941 | + | 0.930624i | 0.103540 | + | 0.0304022i | 0.333092 | − | 0.942894i | \(-0.391908\pi\) |
−0.229552 | + | 0.973296i | \(0.573726\pi\) | |||||||
\(938\) | −6.80272 | + | 7.85076i | −0.222117 | + | 0.256336i | ||||
\(939\) | −1.03645 | + | 2.31335i | −0.0338234 | + | 0.0754932i | ||||
\(940\) | −21.6197 | + | 7.09311i | −0.705158 | + | 0.231352i | ||||
\(941\) | 0.880945 | + | 6.12711i | 0.0287180 | + | 0.199738i | 0.999129 | − | 0.0417196i | \(-0.0132836\pi\) |
−0.970411 | + | 0.241458i | \(0.922375\pi\) | |||||||
\(942\) | −15.0594 | + | 17.6338i | −0.490662 | + | 0.574540i | ||||
\(943\) | −11.3300 | + | 9.20543i | −0.368955 | + | 0.299770i | ||||
\(944\) | 0.932627i | 0.0303544i | ||||||||
\(945\) | 41.8357 | − | 14.7314i | 1.36091 | − | 0.479213i | ||||
\(946\) | 6.12688 | − | 13.4160i | 0.199202 | − | 0.436191i | ||||
\(947\) | 53.0377 | − | 15.5733i | 1.72349 | − | 0.506064i | 0.737860 | − | 0.674954i | \(-0.235836\pi\) |
0.985635 | + | 0.168890i | \(0.0540183\pi\) | |||||||
\(948\) | −13.9587 | + | 2.10939i | −0.453356 | + | 0.0685098i | ||||
\(949\) | 13.5605 | + | 3.98173i | 0.440193 | + | 0.129252i | ||||
\(950\) | 22.8200 | − | 12.2083i | 0.740380 | − | 0.396089i | ||||
\(951\) | −4.82736 | − | 1.37986i | −0.156538 | − | 0.0447450i | ||||
\(952\) | 7.58566 | − | 6.57301i | 0.245853 | − | 0.213033i | ||||
\(953\) | −9.07091 | + | 14.1146i | −0.293836 | + | 0.457217i | −0.956514 | − | 0.291687i | \(-0.905783\pi\) |
0.662678 | + | 0.748904i | \(0.269420\pi\) | |||||||
\(954\) | −0.483948 | − | 33.6873i | −0.0156684 | − | 1.09067i | ||||
\(955\) | 39.8489 | − | 27.4156i | 1.28948 | − | 0.887146i | ||||
\(956\) | −7.90638 | + | 12.3026i | −0.255710 | + | 0.397893i | ||||
\(957\) | 0.155254 | + | 21.6154i | 0.00501865 | + | 0.698726i | ||||
\(958\) | −3.37056 | − | 7.38050i | −0.108898 | − | 0.238453i | ||||
\(959\) | −4.35996 | − | 6.78424i | −0.140791 | − | 0.219074i | ||||
\(960\) | 3.75544 | + | 0.946917i | 0.121206 | + | 0.0305616i | ||||
\(961\) | 5.00952 | − | 5.78130i | 0.161598 | − | 0.186494i | ||||
\(962\) | 5.32121 | + | 18.1224i | 0.171563 | + | 0.584289i | ||||
\(963\) | 15.1479 | − | 54.4718i | 0.488136 | − | 1.75533i | ||||
\(964\) | 4.89326 | − | 0.703545i | 0.157601 | − | 0.0226596i | ||||
\(965\) | 5.78371 | − | 5.33880i | 0.186184 | − | 0.171862i | ||||
\(966\) | 26.2474 | + | 17.7919i | 0.844496 | + | 0.572445i | ||||
\(967\) | − | 14.1125i | − | 0.453827i | −0.973915 | − | 0.226913i | \(-0.927137\pi\) | ||
0.973915 | − | 0.226913i | \(-0.0728634\pi\) | |||||||
\(968\) | 1.51172 | + | 10.5142i | 0.0485885 | + | 0.337940i | ||||
\(969\) | −9.94636 | − | 21.3719i | −0.319523 | − | 0.686565i | ||||
\(970\) | −8.03614 | − | 4.81468i | −0.258025 | − | 0.154590i | ||||
\(971\) | 20.0442 | − | 23.1323i | 0.643249 | − | 0.742349i | −0.336697 | − | 0.941613i | \(-0.609310\pi\) |
0.979946 | + | 0.199264i | \(0.0638551\pi\) | |||||||
\(972\) | 9.77870 | − | 12.1399i | 0.313652 | − | 0.389387i | ||||
\(973\) | −12.8071 | + | 8.23064i | −0.410577 | + | 0.263862i | ||||
\(974\) | 15.0088 | − | 6.85429i | 0.480913 | − | 0.219626i | ||||
\(975\) | 17.1827 | + | 1.25271i | 0.550286 | + | 0.0401188i | ||||
\(976\) | 6.57646 | − | 10.2332i | 0.210507 | − | 0.327556i | ||||
\(977\) | −28.5886 | − | 4.11042i | −0.914631 | − | 0.131504i | −0.331101 | − | 0.943595i | \(-0.607420\pi\) |
−0.583530 | + | 0.812091i | \(0.698329\pi\) | |||||||
\(978\) | −25.0944 | + | 22.0620i | −0.802430 | + | 0.705464i | ||||
\(979\) | 54.1809 | + | 34.8200i | 1.73163 | + | 1.11285i | ||||
\(980\) | −1.88196 | + | 16.8269i | −0.0601170 | + | 0.537516i | ||||
\(981\) | 13.3686 | + | 20.1593i | 0.426827 | + | 0.643636i | ||||
\(982\) | −5.97705 | − | 9.30048i | −0.190735 | − | 0.296790i | ||||
\(983\) | −7.57308 | + | 25.7915i | −0.241544 | + | 0.822622i | 0.746090 | + | 0.665845i | \(0.231929\pi\) |
−0.987634 | + | 0.156777i | \(0.949890\pi\) | |||||||
\(984\) | −5.21308 | + | 0.787784i | −0.166187 | + | 0.0251136i | ||||
\(985\) | 40.3502 | + | 24.1750i | 1.28567 | + | 0.770279i | ||||
\(986\) | −2.93156 | + | 6.41921i | −0.0933598 | + | 0.204429i | ||||
\(987\) | −56.8595 | − | 35.9669i | −1.80986 | − | 1.14484i | ||||
\(988\) | −10.2970 | −0.327592 | ||||||||
\(989\) | 12.5296 | + | 8.62526i | 0.398419 | + | 0.274267i | ||||
\(990\) | −19.3267 | + | 24.4844i | −0.614244 | + | 0.778164i | ||||
\(991\) | −1.34243 | − | 9.33682i | −0.0426438 | − | 0.296594i | −0.999971 | − | 0.00758838i | \(-0.997585\pi\) |
0.957327 | − | 0.289005i | \(-0.0933246\pi\) | |||||||
\(992\) | 2.00737 | − | 4.39553i | 0.0637341 | − | 0.139558i | ||||
\(993\) | 9.29662 | − | 20.7499i | 0.295019 | − | 0.658478i | ||||
\(994\) | −14.6120 | − | 12.6614i | −0.463465 | − | 0.401595i | ||||
\(995\) | −55.3527 | + | 27.4120i | −1.75480 | + | 0.869018i | ||||
\(996\) | 12.8944 | + | 1.75951i | 0.408575 | + | 0.0557521i | ||||
\(997\) | 31.2843 | − | 14.2871i | 0.990783 | − | 0.452476i | 0.146987 | − | 0.989138i | \(-0.453043\pi\) |
0.843797 | + | 0.536663i | \(0.180315\pi\) | |||||||
\(998\) | 0.917027 | + | 1.05831i | 0.0290280 | + | 0.0335001i | ||||
\(999\) | −21.4561 | − | 44.4236i | −0.678841 | − | 1.40550i |
(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 | 690.2.n.b.89.10 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.a.89.3 | ✓ | 240 | ||
5.4 | even | 2 | 690.2.n.a.89.15 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.b.89.22 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.b.659.22 | yes | 240 | |
69.38 | even | 22 | 690.2.n.a.659.15 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.a.659.3 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.b.659.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.3 | ✓ | 240 | 3.2 | odd | 2 | ||
690.2.n.a.89.15 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.a.659.3 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.a.659.15 | yes | 240 | 69.38 | even | 22 | ||
690.2.n.b.89.10 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.b.89.22 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.b.659.10 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.b.659.22 | yes | 240 | 23.15 | odd | 22 | inner |