Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 17.8 | ||
Character | \(\chi\) | \(=\) | 570.17 |
Dual form | 570.2.bi.a.503.8 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.573576 | − | 0.819152i | −0.405580 | − | 0.579228i | ||||
\(3\) | −0.749446 | + | 1.56152i | −0.432693 | + | 0.901541i | ||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | −0.948601 | + | 2.02488i | −0.424227 | + | 0.905556i | ||||
\(6\) | 1.70898 | − | 0.281738i | 0.697689 | − | 0.115019i | ||||
\(7\) | −1.34429 | + | 5.01697i | −0.508095 | + | 1.89624i | −0.0694238 | + | 0.997587i | \(0.522116\pi\) |
−0.438671 | + | 0.898648i | \(0.644551\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | −1.87666 | − | 2.34054i | −0.625554 | − | 0.780181i | ||||
\(10\) | 2.20278 | − | 0.384377i | 0.696581 | − | 0.121551i | ||||
\(11\) | −1.73942 | − | 1.00426i | −0.524456 | − | 0.302795i | 0.214300 | − | 0.976768i | \(-0.431253\pi\) |
−0.738756 | + | 0.673973i | \(0.764586\pi\) | |||||||
\(12\) | −1.21102 | − | 1.23832i | −0.349591 | − | 0.357472i | ||||
\(13\) | −0.0896181 | + | 1.02434i | −0.0248556 | + | 0.284101i | 0.973587 | + | 0.228315i | \(0.0733217\pi\) |
−0.998443 | + | 0.0557851i | \(0.982234\pi\) | |||||||
\(14\) | 4.88071 | − | 1.77643i | 1.30443 | − | 0.474772i | ||||
\(15\) | −2.45096 | − | 2.99880i | −0.632836 | − | 0.774286i | ||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | 0.272031 | + | 0.388500i | 0.0659771 | + | 0.0942251i | 0.850785 | − | 0.525514i | \(-0.176127\pi\) |
−0.784808 | + | 0.619740i | \(0.787238\pi\) | |||||||
\(18\) | −0.840853 | + | 2.87975i | −0.198191 | + | 0.678764i | ||||
\(19\) | 4.32037 | − | 0.578248i | 0.991162 | − | 0.132659i | ||||
\(20\) | −1.57833 | − | 1.58394i | −0.352925 | − | 0.354181i | ||||
\(21\) | −6.82660 | − | 5.85908i | −1.48969 | − | 1.27856i | ||||
\(22\) | 0.175053 | + | 2.00087i | 0.0373215 | + | 0.426587i | ||||
\(23\) | −2.41759 | − | 5.18453i | −0.504101 | − | 1.08105i | −0.979531 | − | 0.201295i | \(-0.935485\pi\) |
0.475429 | − | 0.879754i | \(-0.342293\pi\) | |||||||
\(24\) | −0.319760 | + | 1.70228i | −0.0652706 | + | 0.347476i | ||||
\(25\) | −3.20031 | − | 3.84161i | −0.640062 | − | 0.768323i | ||||
\(26\) | 0.890492 | − | 0.514126i | 0.174640 | − | 0.100828i | ||||
\(27\) | 5.06125 | − | 1.17632i | 0.974038 | − | 0.226383i | ||||
\(28\) | −4.25463 | − | 2.97912i | −0.804050 | − | 0.563002i | ||||
\(29\) | −1.24611 | − | 7.06702i | −0.231396 | − | 1.31231i | −0.850072 | − | 0.526666i | \(-0.823442\pi\) |
0.618676 | − | 0.785646i | \(-0.287669\pi\) | |||||||
\(30\) | −1.05066 | + | 3.72775i | −0.191823 | + | 0.680591i | ||||
\(31\) | 2.75367 | + | 4.76949i | 0.494573 | + | 0.856626i | 0.999980 | − | 0.00625478i | \(-0.00199097\pi\) |
−0.505407 | + | 0.862881i | \(0.668658\pi\) | |||||||
\(32\) | −0.0871557 | + | 0.996195i | −0.0154071 | + | 0.176104i | ||||
\(33\) | 2.87177 | − | 1.96350i | 0.499910 | − | 0.341802i | ||||
\(34\) | 0.162210 | − | 0.445669i | 0.0278188 | − | 0.0764316i | ||||
\(35\) | −8.88358 | − | 7.48113i | −1.50160 | − | 1.26454i | ||||
\(36\) | 2.84125 | − | 0.962971i | 0.473541 | − | 0.160495i | ||||
\(37\) | 2.06560 | + | 2.06560i | 0.339583 | + | 0.339583i | 0.856210 | − | 0.516627i | \(-0.172813\pi\) |
−0.516627 | + | 0.856210i | \(0.672813\pi\) | |||||||
\(38\) | −2.95174 | − | 3.20737i | −0.478835 | − | 0.520305i | ||||
\(39\) | −1.53236 | − | 0.907627i | −0.245374 | − | 0.145337i | ||||
\(40\) | −0.392200 | + | 2.20140i | −0.0620122 | + | 0.348073i | ||||
\(41\) | −4.35503 | + | 5.19012i | −0.680142 | + | 0.810561i | −0.990126 | − | 0.140180i | \(-0.955232\pi\) |
0.309984 | + | 0.950742i | \(0.399676\pi\) | |||||||
\(42\) | −0.883902 | + | 8.95265i | −0.136389 | + | 1.38142i | ||||
\(43\) | −1.90026 | + | 4.07512i | −0.289787 | + | 0.621450i | −0.996271 | − | 0.0862786i | \(-0.972502\pi\) |
0.706484 | + | 0.707729i | \(0.250280\pi\) | |||||||
\(44\) | 1.53861 | − | 1.29105i | 0.231954 | − | 0.194633i | ||||
\(45\) | 6.51953 | − | 1.57978i | 0.971874 | − | 0.235500i | ||||
\(46\) | −2.86025 | + | 4.95409i | −0.421720 | + | 0.730441i | ||||
\(47\) | 6.55070 | + | 4.58685i | 0.955518 | + | 0.669061i | 0.943677 | − | 0.330869i | \(-0.107342\pi\) |
0.0118414 | + | 0.999930i | \(0.496231\pi\) | |||||||
\(48\) | 1.57783 | − | 0.714455i | 0.227740 | − | 0.103123i | ||||
\(49\) | −17.3007 | − | 9.98854i | −2.47152 | − | 1.42693i | ||||
\(50\) | −1.31124 | + | 4.82500i | −0.185438 | + | 0.682358i | ||||
\(51\) | −0.810521 | + | 0.133620i | −0.113496 | + | 0.0187106i | ||||
\(52\) | −0.931913 | − | 0.434558i | −0.129233 | − | 0.0602624i | ||||
\(53\) | −1.25754 | − | 2.69681i | −0.172737 | − | 0.370435i | 0.800812 | − | 0.598916i | \(-0.204402\pi\) |
−0.973548 | + | 0.228481i | \(0.926624\pi\) | |||||||
\(54\) | −3.86660 | − | 3.47122i | −0.526178 | − | 0.472374i | ||||
\(55\) | 3.68352 | − | 2.56949i | 0.496686 | − | 0.346470i | ||||
\(56\) | 5.19395i | 0.694070i | ||||||||
\(57\) | −2.33494 | + | 7.17970i | −0.309271 | + | 0.950974i | ||||
\(58\) | −5.07423 | + | 5.07423i | −0.666279 | + | 0.666279i | ||||
\(59\) | −1.86476 | + | 10.5756i | −0.242771 | + | 1.37682i | 0.582841 | + | 0.812586i | \(0.301941\pi\) |
−0.825612 | + | 0.564238i | \(0.809170\pi\) | |||||||
\(60\) | 3.65623 | − | 1.27750i | 0.472017 | − | 0.164925i | ||||
\(61\) | −7.08291 | − | 2.57797i | −0.906874 | − | 0.330075i | −0.153870 | − | 0.988091i | \(-0.549174\pi\) |
−0.753004 | + | 0.658016i | \(0.771396\pi\) | |||||||
\(62\) | 2.32750 | − | 4.99134i | 0.295593 | − | 0.633901i | ||||
\(63\) | 14.2652 | − | 6.26877i | 1.79725 | − | 0.789791i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −1.98916 | − | 1.15316i | −0.246724 | − | 0.143031i | ||||
\(66\) | −3.25558 | − | 1.22620i | −0.400735 | − | 0.150934i | ||||
\(67\) | −7.80390 | + | 11.1451i | −0.953398 | + | 1.36159i | −0.0211488 | + | 0.999776i | \(0.506732\pi\) |
−0.932249 | + | 0.361817i | \(0.882157\pi\) | |||||||
\(68\) | −0.458111 | + | 0.122750i | −0.0555541 | + | 0.0148857i | ||||
\(69\) | 9.90757 | + | 0.110429i | 1.19273 | + | 0.0132940i | ||||
\(70\) | −1.03278 | + | 11.5680i | −0.123440 | + | 1.38264i | ||||
\(71\) | −3.08482 | − | 8.47548i | −0.366101 | − | 1.00585i | −0.976830 | − | 0.214015i | \(-0.931346\pi\) |
0.610729 | − | 0.791839i | \(-0.290876\pi\) | |||||||
\(72\) | −2.41849 | − | 1.77508i | −0.285022 | − | 0.209195i | ||||
\(73\) | 3.10459 | − | 0.271616i | 0.363364 | − | 0.0317903i | 0.0959881 | − | 0.995382i | \(-0.469399\pi\) |
0.267376 | + | 0.963592i | \(0.413843\pi\) | |||||||
\(74\) | 0.507261 | − | 2.87682i | 0.0589679 | − | 0.334424i | ||||
\(75\) | 8.39720 | − | 2.11825i | 0.969625 | − | 0.244595i | ||||
\(76\) | −0.934280 | + | 4.25760i | −0.107169 | + | 0.488380i | ||||
\(77\) | 7.37662 | − | 7.37662i | 0.840643 | − | 0.840643i | ||||
\(78\) | 0.135440 | + | 1.77583i | 0.0153355 | + | 0.201073i | ||||
\(79\) | 4.64590 | − | 5.53677i | 0.522704 | − | 0.622935i | −0.438514 | − | 0.898725i | \(-0.644495\pi\) |
0.961218 | + | 0.275790i | \(0.0889394\pi\) | |||||||
\(80\) | 2.02824 | − | 0.941402i | 0.226764 | − | 0.105252i | ||||
\(81\) | −1.95629 | + | 8.78481i | −0.217365 | + | 0.976090i | ||||
\(82\) | 6.74944 | + | 0.590500i | 0.745351 | + | 0.0652098i | ||||
\(83\) | −0.0864341 | + | 0.322576i | −0.00948738 | + | 0.0354074i | −0.970507 | − | 0.241072i | \(-0.922501\pi\) |
0.961020 | + | 0.276479i | \(0.0891677\pi\) | |||||||
\(84\) | 7.84057 | − | 4.41098i | 0.855476 | − | 0.481277i | ||||
\(85\) | −1.04472 | + | 0.182299i | −0.113315 | + | 0.0197731i | ||||
\(86\) | 4.42809 | − | 0.780792i | 0.477493 | − | 0.0841949i | ||||
\(87\) | 11.9692 | + | 3.35054i | 1.28323 | + | 0.359215i | ||||
\(88\) | −1.94008 | − | 0.519842i | −0.206813 | − | 0.0554153i | ||||
\(89\) | −5.13331 | + | 4.30736i | −0.544130 | + | 0.456579i | −0.872948 | − | 0.487814i | \(-0.837794\pi\) |
0.328817 | + | 0.944394i | \(0.393350\pi\) | |||||||
\(90\) | −5.03353 | − | 4.43436i | −0.530581 | − | 0.467423i | ||||
\(91\) | −5.01860 | − | 1.82662i | −0.526092 | − | 0.191482i | ||||
\(92\) | 5.69873 | − | 0.498574i | 0.594133 | − | 0.0519799i | ||||
\(93\) | −9.51136 | + | 0.725417i | −0.986282 | + | 0.0752222i | ||||
\(94\) | − | 7.99693i | − | 0.824820i | ||||||
\(95\) | −2.92743 | + | 9.29678i | −0.300348 | + | 0.953830i | ||||
\(96\) | −1.49025 | − | 0.882689i | −0.152098 | − | 0.0900891i | ||||
\(97\) | −4.12526 | + | 2.88854i | −0.418857 | + | 0.293287i | −0.763942 | − | 0.645285i | \(-0.776739\pi\) |
0.345086 | + | 0.938571i | \(0.387850\pi\) | |||||||
\(98\) | 1.74112 | + | 19.9011i | 0.175879 | + | 2.01031i | ||||
\(99\) | 0.913801 | + | 5.95585i | 0.0918405 | + | 0.598585i | ||||
\(100\) | 4.70451 | − | 1.69340i | 0.470451 | − | 0.169340i | ||||
\(101\) | 3.02992 | + | 3.61092i | 0.301488 | + | 0.359300i | 0.895425 | − | 0.445212i | \(-0.146872\pi\) |
−0.593937 | + | 0.804512i | \(0.702427\pi\) | |||||||
\(102\) | 0.574351 | + | 0.587299i | 0.0568692 | + | 0.0581512i | ||||
\(103\) | −1.89543 | − | 7.07384i | −0.186762 | − | 0.697006i | −0.994246 | − | 0.107117i | \(-0.965838\pi\) |
0.807484 | − | 0.589889i | \(-0.200829\pi\) | |||||||
\(104\) | 0.178554 | + | 1.01263i | 0.0175087 | + | 0.0992966i | ||||
\(105\) | 18.3397 | − | 8.26514i | 1.78977 | − | 0.806595i | ||||
\(106\) | −1.48780 | + | 2.57694i | −0.144508 | + | 0.250295i | ||||
\(107\) | −7.52661 | − | 2.01675i | −0.727625 | − | 0.194967i | −0.124054 | − | 0.992275i | \(-0.539590\pi\) |
−0.603571 | + | 0.797309i | \(0.706256\pi\) | |||||||
\(108\) | −0.625668 | + | 5.15835i | −0.0602049 | + | 0.496362i | ||||
\(109\) | −1.15879 | − | 3.18376i | −0.110992 | − | 0.304949i | 0.871744 | − | 0.489962i | \(-0.162989\pi\) |
−0.982736 | + | 0.185013i | \(0.940767\pi\) | |||||||
\(110\) | −4.21759 | − | 1.54356i | −0.402131 | − | 0.147173i | ||||
\(111\) | −4.77353 | + | 1.67741i | −0.453083 | + | 0.159213i | ||||
\(112\) | 4.25463 | − | 2.97912i | 0.402025 | − | 0.281501i | ||||
\(113\) | 6.94000 | + | 6.94000i | 0.652861 | + | 0.652861i | 0.953681 | − | 0.300820i | \(-0.0972604\pi\) |
−0.300820 | + | 0.953681i | \(0.597260\pi\) | |||||||
\(114\) | 7.22053 | − | 2.20543i | 0.676265 | − | 0.206557i | ||||
\(115\) | 12.7914 | + | 0.0227182i | 1.19280 | + | 0.00211848i | ||||
\(116\) | 7.06702 | + | 1.24611i | 0.656156 | + | 0.115698i | ||||
\(117\) | 2.56569 | − | 1.71258i | 0.237198 | − | 0.158328i | ||||
\(118\) | 9.73260 | − | 4.53839i | 0.895958 | − | 0.417792i | ||||
\(119\) | −2.31478 | + | 0.842511i | −0.212196 | + | 0.0772329i | ||||
\(120\) | −3.14359 | − | 2.26226i | −0.286970 | − | 0.206515i | ||||
\(121\) | −3.48294 | − | 6.03262i | −0.316631 | − | 0.548420i | ||||
\(122\) | 1.95084 | + | 7.28065i | 0.176621 | + | 0.659159i | ||||
\(123\) | −4.84060 | − | 10.6902i | −0.436462 | − | 0.963900i | ||||
\(124\) | −5.42367 | + | 0.956339i | −0.487060 | + | 0.0858818i | ||||
\(125\) | 10.8146 | − | 2.83610i | 0.967291 | − | 0.253669i | ||||
\(126\) | −13.3173 | − | 8.08976i | −1.18640 | − | 0.720693i | ||||
\(127\) | 13.6823 | + | 1.19705i | 1.21411 | + | 0.106221i | 0.676158 | − | 0.736757i | \(-0.263644\pi\) |
0.537949 | + | 0.842977i | \(0.319199\pi\) | |||||||
\(128\) | −0.906308 | − | 0.422618i | −0.0801070 | − | 0.0373545i | ||||
\(129\) | −4.93922 | − | 6.02137i | −0.434874 | − | 0.530152i | ||||
\(130\) | 0.196324 | + | 2.29084i | 0.0172187 | + | 0.200920i | ||||
\(131\) | −7.66555 | − | 1.35164i | −0.669743 | − | 0.118094i | −0.171570 | − | 0.985172i | \(-0.554884\pi\) |
−0.498172 | + | 0.867078i | \(0.665995\pi\) | |||||||
\(132\) | 0.862885 | + | 3.37013i | 0.0751045 | + | 0.293333i | ||||
\(133\) | −2.90679 | + | 22.4525i | −0.252051 | + | 1.94688i | ||||
\(134\) | 13.6057 | 1.17535 | ||||||||
\(135\) | −2.41919 | + | 11.3643i | −0.208211 | + | 0.978084i | ||||
\(136\) | 0.363313 | + | 0.304856i | 0.0311538 | + | 0.0261411i | ||||
\(137\) | −6.62496 | + | 3.08927i | −0.566009 | + | 0.263934i | −0.684490 | − | 0.729022i | \(-0.739975\pi\) |
0.118481 | + | 0.992956i | \(0.462197\pi\) | |||||||
\(138\) | −5.59229 | − | 8.17915i | −0.476048 | − | 0.696255i | ||||
\(139\) | 7.24953 | + | 8.63965i | 0.614897 | + | 0.732806i | 0.980184 | − | 0.198089i | \(-0.0634736\pi\) |
−0.365287 | + | 0.930895i | \(0.619029\pi\) | |||||||
\(140\) | 10.0683 | − | 5.78914i | 0.850929 | − | 0.489271i | ||||
\(141\) | −12.0718 | + | 6.79142i | −1.01663 | + | 0.571941i | ||||
\(142\) | −5.17333 | + | 7.38827i | −0.434136 | + | 0.620010i | ||||
\(143\) | 1.18458 | − | 1.69176i | 0.0990598 | − | 0.141472i | ||||
\(144\) | −0.0668670 | + | 2.99925i | −0.00557225 | + | 0.249938i | ||||
\(145\) | 15.4920 | + | 4.18056i | 1.28654 | + | 0.347177i | ||||
\(146\) | −2.00321 | − | 2.38734i | −0.165787 | − | 0.197577i | ||||
\(147\) | 28.5632 | − | 19.5294i | 2.35585 | − | 1.61075i | ||||
\(148\) | −2.64751 | + | 1.23455i | −0.217624 | + | 0.101480i | ||||
\(149\) | 2.77212 | + | 2.32609i | 0.227101 | + | 0.190561i | 0.749237 | − | 0.662302i | \(-0.230420\pi\) |
−0.522136 | + | 0.852862i | \(0.674865\pi\) | |||||||
\(150\) | −6.55161 | − | 5.66360i | −0.534937 | − | 0.462431i | ||||
\(151\) | 2.56780 | 0.208964 | 0.104482 | − | 0.994527i | \(-0.466681\pi\) | ||||
0.104482 | + | 0.994527i | \(0.466681\pi\) | |||||||
\(152\) | 4.02350 | − | 1.67674i | 0.326349 | − | 0.136002i | ||||
\(153\) | 0.398792 | − | 1.36578i | 0.0322404 | − | 0.110417i | ||||
\(154\) | −10.2736 | − | 1.81152i | −0.827872 | − | 0.145976i | ||||
\(155\) | −12.2698 | + | 1.05151i | −0.985534 | + | 0.0844596i | ||||
\(156\) | 1.37699 | − | 1.12952i | 0.110247 | − | 0.0904338i | ||||
\(157\) | −17.0104 | − | 7.93209i | −1.35758 | − | 0.633050i | −0.398757 | − | 0.917056i | \(-0.630558\pi\) |
−0.958822 | + | 0.284007i | \(0.908336\pi\) | |||||||
\(158\) | −7.20023 | − | 0.629939i | −0.572820 | − | 0.0501152i | ||||
\(159\) | 5.15357 | + | 0.0574411i | 0.408704 | + | 0.00455537i | ||||
\(160\) | −1.93450 | − | 1.12147i | −0.152936 | − | 0.0886601i | ||||
\(161\) | 29.2605 | − | 5.15942i | 2.30605 | − | 0.406620i | ||||
\(162\) | 8.31818 | − | 3.43626i | 0.653538 | − | 0.269978i | ||||
\(163\) | −2.31552 | − | 8.64162i | −0.181365 | − | 0.676864i | −0.995379 | − | 0.0960192i | \(-0.969389\pi\) |
0.814014 | − | 0.580845i | \(-0.197278\pi\) | |||||||
\(164\) | −3.38761 | − | 5.86752i | −0.264528 | − | 0.458176i | ||||
\(165\) | 1.25170 | + | 7.67757i | 0.0974447 | + | 0.597698i | ||||
\(166\) | 0.313816 | − | 0.114220i | 0.0243568 | − | 0.00886516i | ||||
\(167\) | 16.9006 | − | 7.88090i | 1.30781 | − | 0.609842i | 0.361281 | − | 0.932457i | \(-0.382340\pi\) |
0.946530 | + | 0.322614i | \(0.104562\pi\) | |||||||
\(168\) | −8.11043 | − | 3.89258i | −0.625733 | − | 0.300319i | ||||
\(169\) | 11.7613 | + | 2.07383i | 0.904712 | + | 0.159525i | ||||
\(170\) | 0.748555 | + | 0.751219i | 0.0574116 | + | 0.0576159i | ||||
\(171\) | −9.46129 | − | 9.02685i | −0.723523 | − | 0.690300i | ||||
\(172\) | −3.17944 | − | 3.17944i | −0.242430 | − | 0.242430i | ||||
\(173\) | −16.8665 | + | 11.8101i | −1.28234 | + | 0.897904i | −0.998146 | − | 0.0608634i | \(-0.980615\pi\) |
−0.284193 | + | 0.958767i | \(0.591726\pi\) | |||||||
\(174\) | −4.12062 | − | 11.7263i | −0.312384 | − | 0.888972i | ||||
\(175\) | 23.5754 | − | 10.8916i | 1.78213 | − | 0.823328i | ||||
\(176\) | 0.686952 | + | 1.88739i | 0.0517810 | + | 0.142267i | ||||
\(177\) | −15.1164 | − | 10.8377i | −1.13622 | − | 0.814611i | ||||
\(178\) | 6.47273 | + | 1.73436i | 0.485152 | + | 0.129996i | ||||
\(179\) | −4.82440 | + | 8.35611i | −0.360593 | + | 0.624565i | −0.988059 | − | 0.154079i | \(-0.950759\pi\) |
0.627466 | + | 0.778644i | \(0.284092\pi\) | |||||||
\(180\) | −0.745305 | + | 6.66667i | −0.0555517 | + | 0.496904i | ||||
\(181\) | −0.277264 | − | 1.57244i | −0.0206088 | − | 0.116879i | 0.972768 | − | 0.231781i | \(-0.0744554\pi\) |
−0.993377 | + | 0.114903i | \(0.963344\pi\) | |||||||
\(182\) | 1.38227 | + | 5.15871i | 0.102461 | + | 0.382389i | ||||
\(183\) | 9.33380 | − | 9.12803i | 0.689975 | − | 0.674763i | ||||
\(184\) | −3.67706 | − | 4.38215i | −0.271077 | − | 0.323057i | ||||
\(185\) | −6.14204 | + | 2.22317i | −0.451571 | + | 0.163451i | ||||
\(186\) | 6.04972 | + | 7.37517i | 0.443587 | + | 0.540774i | ||||
\(187\) | −0.0830228 | − | 0.948955i | −0.00607123 | − | 0.0693945i | ||||
\(188\) | −6.55070 | + | 4.58685i | −0.477759 | + | 0.334531i | ||||
\(189\) | −0.902228 | + | 26.9734i | −0.0656274 | + | 1.96203i | ||||
\(190\) | 9.29458 | − | 2.93441i | 0.674300 | − | 0.212884i | ||||
\(191\) | − | 5.24426i | − | 0.379462i | −0.981836 | − | 0.189731i | \(-0.939238\pi\) | ||
0.981836 | − | 0.189731i | \(-0.0607615\pi\) | |||||||
\(192\) | 0.131718 | + | 1.72704i | 0.00950594 | + | 0.124638i | ||||
\(193\) | −23.0226 | + | 2.01421i | −1.65720 | + | 0.144986i | −0.876983 | − | 0.480522i | \(-0.840447\pi\) |
−0.780217 | + | 0.625508i | \(0.784892\pi\) | |||||||
\(194\) | 4.73230 | + | 1.72242i | 0.339760 | + | 0.123662i | ||||
\(195\) | 3.29144 | − | 2.24187i | 0.235705 | − | 0.160544i | ||||
\(196\) | 15.3033 | − | 12.8410i | 1.09309 | − | 0.917215i | ||||
\(197\) | −8.78705 | − | 2.35448i | −0.626052 | − | 0.167750i | −0.0681742 | − | 0.997673i | \(-0.521717\pi\) |
−0.557877 | + | 0.829923i | \(0.688384\pi\) | |||||||
\(198\) | 4.35461 | − | 4.16468i | 0.309469 | − | 0.295971i | ||||
\(199\) | 20.4573 | − | 3.60717i | 1.45018 | − | 0.255705i | 0.607584 | − | 0.794255i | \(-0.292139\pi\) |
0.842594 | + | 0.538550i | \(0.181028\pi\) | |||||||
\(200\) | −4.08555 | − | 2.88241i | −0.288892 | − | 0.203817i | ||||
\(201\) | −11.5547 | − | 20.5386i | −0.815004 | − | 1.44868i | ||||
\(202\) | 1.22000 | − | 4.55310i | 0.0858389 | − | 0.320355i | ||||
\(203\) | 37.1301 | + | 3.24847i | 2.60602 | + | 0.227998i | ||||
\(204\) | 0.151653 | − | 0.807342i | 0.0106178 | − | 0.0565252i | ||||
\(205\) | −6.37821 | − | 13.7418i | −0.445474 | − | 0.959768i | ||||
\(206\) | −4.70738 | + | 5.61003i | −0.327978 | + | 0.390870i | ||||
\(207\) | −7.59763 | + | 15.3881i | −0.528072 | + | 1.06954i | ||||
\(208\) | 0.727084 | − | 0.727084i | 0.0504142 | − | 0.0504142i | ||||
\(209\) | −8.09567 | − | 3.33295i | −0.559989 | − | 0.230545i | ||||
\(210\) | −17.2896 | − | 10.2823i | −1.19310 | − | 0.709546i | ||||
\(211\) | 2.25925 | − | 12.8129i | 0.155533 | − | 0.882073i | −0.802763 | − | 0.596298i | \(-0.796638\pi\) |
0.958297 | − | 0.285776i | \(-0.0922512\pi\) | |||||||
\(212\) | 2.96428 | − | 0.259340i | 0.203587 | − | 0.0178116i | ||||
\(213\) | 15.5465 | + | 1.53492i | 1.06523 | + | 0.105171i | ||||
\(214\) | 2.66506 | + | 7.32220i | 0.182180 | + | 0.500535i | ||||
\(215\) | −6.44906 | − | 7.71347i | −0.439822 | − | 0.526055i | ||||
\(216\) | 4.58434 | − | 2.44619i | 0.311925 | − | 0.166442i | ||||
\(217\) | −27.6301 | + | 7.40347i | −1.87565 | + | 0.502580i | ||||
\(218\) | −1.94333 | + | 2.77536i | −0.131619 | + | 0.187971i | ||||
\(219\) | −1.90259 | + | 5.05142i | −0.128565 | + | 0.341343i | ||||
\(220\) | 1.15469 | + | 4.34020i | 0.0778495 | + | 0.292616i | ||||
\(221\) | −0.422335 | + | 0.243835i | −0.0284093 | + | 0.0164021i | ||||
\(222\) | 4.11204 | + | 2.94812i | 0.275982 | + | 0.197865i | ||||
\(223\) | −10.9166 | + | 23.4107i | −0.731029 | + | 1.56770i | 0.0894311 | + | 0.995993i | \(0.471495\pi\) |
−0.820460 | + | 0.571704i | \(0.806283\pi\) | |||||||
\(224\) | −4.88071 | − | 1.77643i | −0.326106 | − | 0.118693i | ||||
\(225\) | −2.98557 | + | 14.6999i | −0.199038 | + | 0.979992i | ||||
\(226\) | 1.70430 | − | 9.66554i | 0.113368 | − | 0.642942i | ||||
\(227\) | −14.2770 | + | 14.2770i | −0.947600 | + | 0.947600i | −0.998694 | − | 0.0510937i | \(-0.983729\pi\) |
0.0510937 | + | 0.998694i | \(0.483729\pi\) | |||||||
\(228\) | −5.94811 | − | 4.64973i | −0.393923 | − | 0.307936i | ||||
\(229\) | 21.5586i | 1.42463i | 0.701859 | + | 0.712316i | \(0.252354\pi\) | ||||
−0.701859 | + | 0.712316i | \(0.747646\pi\) | |||||||
\(230\) | −7.31823 | − | 10.4911i | −0.482550 | − | 0.691764i | ||||
\(231\) | 5.99032 | + | 17.0471i | 0.394134 | + | 1.12162i | ||||
\(232\) | −3.03273 | − | 6.50370i | −0.199108 | − | 0.426989i | ||||
\(233\) | 2.75301 | + | 1.28375i | 0.180355 | + | 0.0841011i | 0.510699 | − | 0.859760i | \(-0.329387\pi\) |
−0.330343 | + | 0.943861i | \(0.607165\pi\) | |||||||
\(234\) | −2.87449 | − | 1.11940i | −0.187911 | − | 0.0731772i | ||||
\(235\) | −15.5018 | + | 8.91332i | −1.01123 | + | 0.581441i | ||||
\(236\) | −9.30002 | − | 5.36937i | −0.605380 | − | 0.349516i | ||||
\(237\) | 5.16389 | + | 11.4041i | 0.335431 | + | 0.740779i | ||||
\(238\) | 2.01785 | + | 1.41291i | 0.130798 | + | 0.0915855i | ||||
\(239\) | −7.44555 | + | 12.8961i | −0.481612 | + | 0.834177i | −0.999777 | − | 0.0211037i | \(-0.993282\pi\) |
0.518165 | + | 0.855281i | \(0.326615\pi\) | |||||||
\(240\) | −0.0500432 | + | 3.87266i | −0.00323028 | + | 0.249979i | ||||
\(241\) | 7.21184 | − | 6.05145i | 0.464556 | − | 0.389808i | −0.380248 | − | 0.924884i | \(-0.624161\pi\) |
0.844804 | + | 0.535076i | \(0.179717\pi\) | |||||||
\(242\) | −2.94391 | + | 6.31323i | −0.189241 | + | 0.405829i | ||||
\(243\) | −12.2515 | − | 9.63852i | −0.785933 | − | 0.618311i | ||||
\(244\) | 4.84500 | − | 5.77404i | 0.310169 | − | 0.369645i | ||||
\(245\) | 36.6370 | − | 25.5567i | 2.34066 | − | 1.63276i | ||||
\(246\) | −5.98042 | + | 10.0968i | −0.381298 | + | 0.643749i | ||||
\(247\) | 0.205138 | + | 4.47735i | 0.0130526 | + | 0.284887i | ||||
\(248\) | 3.89427 | + | 3.89427i | 0.247287 | + | 0.247287i | ||||
\(249\) | −0.438930 | − | 0.376722i | −0.0278161 | − | 0.0238738i | ||||
\(250\) | −8.52622 | − | 7.23212i | −0.539246 | − | 0.457399i | ||||
\(251\) | −8.45367 | + | 23.2263i | −0.533591 | + | 1.46603i | 0.321177 | + | 0.947019i | \(0.395921\pi\) |
−0.854768 | + | 0.519010i | \(0.826301\pi\) | |||||||
\(252\) | 1.01173 | + | 15.5490i | 0.0637328 | + | 0.979492i | ||||
\(253\) | −1.00139 | + | 11.4460i | −0.0629570 | + | 0.719602i | ||||
\(254\) | −6.86728 | − | 11.8945i | −0.430891 | − | 0.746326i | ||||
\(255\) | 0.498296 | − | 1.76796i | 0.0312045 | − | 0.110714i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −8.25745 | − | 5.78193i | −0.515086 | − | 0.360667i | 0.286947 | − | 0.957946i | \(-0.407359\pi\) |
−0.802033 | + | 0.597279i | \(0.796248\pi\) | |||||||
\(258\) | −2.09940 | + | 7.49969i | −0.130703 | + | 0.466910i | ||||
\(259\) | −13.1398 | + | 7.58628i | −0.816469 | + | 0.471389i | ||||
\(260\) | 1.76394 | − | 1.47479i | 0.109395 | − | 0.0914628i | ||||
\(261\) | −14.2022 | + | 16.1790i | −0.879091 | + | 1.00145i | ||||
\(262\) | 3.28958 | + | 7.05452i | 0.203231 | + | 0.435830i | ||||
\(263\) | 2.51866 | + | 28.7885i | 0.155308 | + | 1.77517i | 0.529975 | + | 0.848014i | \(0.322201\pi\) |
−0.374667 | + | 0.927159i | \(0.622243\pi\) | |||||||
\(264\) | 2.26572 | − | 2.63986i | 0.139446 | − | 0.162472i | ||||
\(265\) | 6.65363 | + | 0.0118172i | 0.408729 | + | 0.000725923i | ||||
\(266\) | 20.0593 | − | 10.4971i | 1.22991 | − | 0.643620i | ||||
\(267\) | −2.87887 | − | 11.2439i | −0.176184 | − | 0.688114i | ||||
\(268\) | −7.80390 | − | 11.1451i | −0.476699 | − | 0.680797i | ||||
\(269\) | −16.3812 | − | 13.7455i | −0.998782 | − | 0.838078i | −0.0119670 | − | 0.999928i | \(-0.503809\pi\) |
−0.986815 | + | 0.161851i | \(0.948254\pi\) | |||||||
\(270\) | 10.6967 | − | 4.53662i | 0.650980 | − | 0.276090i | ||||
\(271\) | −21.2278 | + | 7.72629i | −1.28950 | + | 0.469339i | −0.893562 | − | 0.448939i | \(-0.851802\pi\) |
−0.395936 | + | 0.918278i | \(0.629580\pi\) | |||||||
\(272\) | 0.0413354 | − | 0.472466i | 0.00250633 | − | 0.0286475i | ||||
\(273\) | 6.61347 | − | 6.46767i | 0.400265 | − | 0.391441i | ||||
\(274\) | 6.33051 | + | 3.65492i | 0.382440 | + | 0.220802i | ||||
\(275\) | 1.70873 | + | 9.89613i | 0.103040 | + | 0.596759i | ||||
\(276\) | −3.49236 | + | 9.27230i | −0.210215 | + | 0.558127i | ||||
\(277\) | 19.8865 | − | 5.32856i | 1.19486 | − | 0.320162i | 0.394056 | − | 0.919086i | \(-0.371072\pi\) |
0.800806 | + | 0.598924i | \(0.204405\pi\) | |||||||
\(278\) | 2.91903 | − | 10.8940i | 0.175072 | − | 0.653377i | ||||
\(279\) | 5.99551 | − | 15.3958i | 0.358942 | − | 0.921723i | ||||
\(280\) | −10.5171 | − | 4.92698i | −0.628519 | − | 0.294443i | ||||
\(281\) | −2.03613 | + | 5.59422i | −0.121465 | + | 0.333723i | −0.985492 | − | 0.169723i | \(-0.945713\pi\) |
0.864026 | + | 0.503447i | \(0.167935\pi\) | |||||||
\(282\) | 12.4873 | + | 5.99327i | 0.743610 | + | 0.356894i | ||||
\(283\) | 5.75648 | + | 8.22111i | 0.342187 | + | 0.488694i | 0.952953 | − | 0.303117i | \(-0.0980273\pi\) |
−0.610766 | + | 0.791811i | \(0.709138\pi\) | |||||||
\(284\) | 9.01942 | 0.535204 | ||||||||
\(285\) | −12.3231 | − | 11.5387i | −0.729959 | − | 0.683491i | ||||
\(286\) | −2.06526 | −0.122121 | ||||||||
\(287\) | −20.1842 | − | 28.8261i | −1.19144 | − | 1.70155i | ||||
\(288\) | 2.49520 | − | 1.66553i | 0.147031 | − | 0.0981422i | ||||
\(289\) | 5.73741 | − | 15.7634i | 0.337495 | − | 0.927259i | ||||
\(290\) | −5.46131 | − | 15.0881i | −0.320699 | − | 0.886006i | ||||
\(291\) | −1.41884 | − | 8.60646i | −0.0831737 | − | 0.504520i | ||||
\(292\) | −0.806595 | + | 3.01025i | −0.0472024 | + | 0.176162i | ||||
\(293\) | −28.9519 | + | 7.75765i | −1.69139 | + | 0.453207i | −0.970748 | − | 0.240101i | \(-0.922819\pi\) |
−0.720642 | + | 0.693308i | \(0.756153\pi\) | |||||||
\(294\) | −32.3807 | − | 12.1960i | −1.88848 | − | 0.711285i | ||||
\(295\) | −19.6454 | − | 13.8079i | −1.14380 | − | 0.803929i | ||||
\(296\) | 2.52984 | + | 1.46060i | 0.147044 | + | 0.0848957i | ||||
\(297\) | −9.98499 | − | 3.03667i | −0.579388 | − | 0.176206i | ||||
\(298\) | 0.315395 | − | 3.60498i | 0.0182703 | − | 0.208831i | ||||
\(299\) | 5.52737 | − | 2.01180i | 0.319656 | − | 0.116345i | ||||
\(300\) | −0.881505 | + | 8.61527i | −0.0508937 | + | 0.497403i | ||||
\(301\) | −17.8902 | − | 15.0117i | −1.03118 | − | 0.865260i | ||||
\(302\) | −1.47283 | − | 2.10342i | −0.0847517 | − | 0.121038i | ||||
\(303\) | −7.90927 | + | 2.02508i | −0.454376 | + | 0.116338i | ||||
\(304\) | −3.68129 | − | 2.33412i | −0.211136 | − | 0.133871i | ||||
\(305\) | 11.9390 | − | 11.8966i | 0.683622 | − | 0.681198i | ||||
\(306\) | −1.34752 | + | 0.456709i | −0.0770327 | + | 0.0261083i | ||||
\(307\) | 1.62141 | + | 18.5328i | 0.0925389 | + | 1.05772i | 0.890490 | + | 0.455003i | \(0.150362\pi\) |
−0.797951 | + | 0.602722i | \(0.794083\pi\) | |||||||
\(308\) | 4.40880 | + | 9.45470i | 0.251215 | + | 0.538732i | ||||
\(309\) | 12.4664 | + | 2.34172i | 0.709191 | + | 0.133216i | ||||
\(310\) | 7.89902 | + | 9.44771i | 0.448634 | + | 0.536594i | ||||
\(311\) | 28.2558 | − | 16.3135i | 1.60224 | − | 0.925053i | 0.611200 | − | 0.791476i | \(-0.290687\pi\) |
0.991038 | − | 0.133577i | \(-0.0426463\pi\) | |||||||
\(312\) | −1.71505 | − | 0.480097i | −0.0970959 | − | 0.0271801i | ||||
\(313\) | −13.6400 | − | 9.55086i | −0.770980 | − | 0.539846i | 0.120604 | − | 0.992701i | \(-0.461517\pi\) |
−0.891584 | + | 0.452854i | \(0.850406\pi\) | |||||||
\(314\) | 3.25919 | + | 18.4838i | 0.183927 | + | 1.04310i | ||||
\(315\) | −0.838459 | + | 34.8320i | −0.0472418 | + | 1.96256i | ||||
\(316\) | 3.61387 | + | 6.25940i | 0.203296 | + | 0.352119i | ||||
\(317\) | −1.37898 | + | 15.7618i | −0.0774510 | + | 0.885270i | 0.853731 | + | 0.520715i | \(0.174334\pi\) |
−0.931182 | + | 0.364555i | \(0.881221\pi\) | |||||||
\(318\) | −2.90891 | − | 4.25450i | −0.163124 | − | 0.238581i | ||||
\(319\) | −4.92960 | + | 13.5440i | −0.276004 | + | 0.758316i | ||||
\(320\) | 0.190930 | + | 2.22790i | 0.0106733 | + | 0.124543i | ||||
\(321\) | 8.78998 | − | 10.2415i | 0.490609 | − | 0.571624i | ||||
\(322\) | −21.0095 | − | 21.0095i | −1.17081 | − | 1.17081i | ||||
\(323\) | 1.39992 | + | 1.52116i | 0.0778938 | + | 0.0846399i | ||||
\(324\) | −7.58593 | − | 4.84289i | −0.421441 | − | 0.269050i | ||||
\(325\) | 4.22192 | − | 2.93393i | 0.234190 | − | 0.162745i | ||||
\(326\) | −5.75068 | + | 6.85339i | −0.318501 | + | 0.379574i | ||||
\(327\) | 5.83995 | + | 0.576583i | 0.322950 | + | 0.0318851i | ||||
\(328\) | −2.86333 | + | 6.14044i | −0.158101 | + | 0.339049i | ||||
\(329\) | −31.8181 | + | 26.6986i | −1.75419 | + | 1.47194i | ||||
\(330\) | 5.57115 | − | 5.42901i | 0.306682 | − | 0.298857i | ||||
\(331\) | −14.1677 | + | 24.5392i | −0.778727 | + | 1.34879i | 0.153949 | + | 0.988079i | \(0.450801\pi\) |
−0.932676 | + | 0.360716i | \(0.882532\pi\) | |||||||
\(332\) | −0.273561 | − | 0.191549i | −0.0150136 | − | 0.0105126i | ||||
\(333\) | 0.958197 | − | 8.71106i | 0.0525089 | − | 0.477363i | ||||
\(334\) | −16.1495 | − | 9.32390i | −0.883660 | − | 0.510181i | ||||
\(335\) | −15.1648 | − | 26.3743i | −0.828541 | − | 1.44098i | ||||
\(336\) | 1.46333 | + | 8.87637i | 0.0798313 | + | 0.484245i | ||||
\(337\) | 23.6244 | + | 11.0162i | 1.28690 | + | 0.600092i | 0.941073 | − | 0.338205i | \(-0.109820\pi\) |
0.345830 | + | 0.938297i | \(0.387597\pi\) | |||||||
\(338\) | −5.04720 | − | 10.8238i | −0.274532 | − | 0.588735i | ||||
\(339\) | −16.0381 | + | 5.63576i | −0.871069 | + | 0.306093i | ||||
\(340\) | 0.186009 | − | 1.04406i | 0.0100877 | − | 0.0566222i | ||||
\(341\) | − | 11.0616i | − | 0.599017i | ||||||
\(342\) | −1.96759 | + | 12.9278i | −0.106395 | + | 0.699057i | ||||
\(343\) | 47.6606 | − | 47.6606i | 2.57343 | − | 2.57343i | ||||
\(344\) | −0.780792 | + | 4.42809i | −0.0420975 | + | 0.238747i | ||||
\(345\) | −9.62194 | + | 19.9569i | −0.518028 | + | 1.07445i | ||||
\(346\) | 19.3485 | + | 7.04228i | 1.04018 | + | 0.378595i | ||||
\(347\) | 1.97473 | − | 4.23482i | 0.106009 | − | 0.227337i | −0.846147 | − | 0.532950i | \(-0.821083\pi\) |
0.952156 | + | 0.305613i | \(0.0988613\pi\) | |||||||
\(348\) | −7.24217 | + | 10.1014i | −0.388221 | + | 0.541490i | ||||
\(349\) | 5.46529 | − | 3.15538i | 0.292550 | − | 0.168904i | −0.346541 | − | 0.938035i | \(-0.612644\pi\) |
0.639091 | + | 0.769131i | \(0.279311\pi\) | |||||||
\(350\) | −22.4442 | − | 13.0647i | −1.19969 | − | 0.698336i | ||||
\(351\) | 0.751374 | + | 5.28986i | 0.0401054 | + | 0.282352i | ||||
\(352\) | 1.15204 | − | 1.64528i | 0.0614037 | − | 0.0876936i | ||||
\(353\) | 6.24613 | − | 1.67365i | 0.332448 | − | 0.0890792i | −0.0887339 | − | 0.996055i | \(-0.528282\pi\) |
0.421182 | + | 0.906976i | \(0.361615\pi\) | |||||||
\(354\) | −0.207301 | + | 18.5989i | −0.0110179 | + | 0.988519i | ||||
\(355\) | 20.0881 | + | 1.79344i | 1.06617 | + | 0.0951859i | ||||
\(356\) | −2.29190 | − | 6.29694i | −0.121470 | − | 0.333737i | ||||
\(357\) | 0.419209 | − | 4.24598i | 0.0221869 | − | 0.224721i | ||||
\(358\) | 9.61209 | − | 0.840949i | 0.508015 | − | 0.0444455i | ||||
\(359\) | 4.92643 | − | 27.9392i | 0.260007 | − | 1.47457i | −0.522878 | − | 0.852408i | \(-0.675142\pi\) |
0.782885 | − | 0.622167i | \(-0.213747\pi\) | |||||||
\(360\) | 5.88851 | − | 3.21333i | 0.310352 | − | 0.169357i | ||||
\(361\) | 18.3313 | − | 4.99649i | 0.964803 | − | 0.262973i | ||||
\(362\) | −1.12904 | + | 1.12904i | −0.0593408 | + | 0.0593408i | ||||
\(363\) | 12.0303 | − | 0.917532i | 0.631427 | − | 0.0481580i | ||||
\(364\) | 3.43293 | − | 4.09120i | 0.179934 | − | 0.214437i | ||||
\(365\) | −2.39502 | + | 6.54408i | −0.125361 | + | 0.342533i | ||||
\(366\) | −12.8309 | − | 2.41018i | −0.670682 | − | 0.125982i | ||||
\(367\) | −4.77393 | − | 0.417665i | −0.249197 | − | 0.0218019i | −0.0381272 | − | 0.999273i | \(-0.512139\pi\) |
−0.211070 | + | 0.977471i | \(0.567695\pi\) | |||||||
\(368\) | −1.48057 | + | 5.52557i | −0.0771802 | + | 0.288040i | ||||
\(369\) | 20.3206 | + | 0.453039i | 1.05785 | + | 0.0235843i | ||||
\(370\) | 5.34404 | + | 3.75610i | 0.277824 | + | 0.195270i | ||||
\(371\) | 15.2203 | − | 2.68375i | 0.790199 | − | 0.139333i | ||||
\(372\) | 2.57141 | − | 9.18587i | 0.133321 | − | 0.476265i | ||||
\(373\) | 3.45090 | + | 0.924667i | 0.178681 | + | 0.0478774i | 0.347050 | − | 0.937847i | \(-0.387183\pi\) |
−0.168369 | + | 0.985724i | \(0.553850\pi\) | |||||||
\(374\) | −0.729719 | + | 0.612307i | −0.0377328 | + | 0.0316616i | ||||
\(375\) | −3.67637 | + | 19.0127i | −0.189847 | + | 0.981814i | ||||
\(376\) | 7.51466 | + | 2.73511i | 0.387539 | + | 0.141053i | ||||
\(377\) | 7.35070 | − | 0.643103i | 0.378580 | − | 0.0331215i | ||||
\(378\) | 22.6129 | − | 14.7323i | 1.16308 | − | 0.757746i | ||||
\(379\) | 5.56548i | 0.285880i | 0.989731 | + | 0.142940i | \(0.0456555\pi\) | ||||
−0.989731 | + | 0.142940i | \(0.954344\pi\) | |||||||
\(380\) | −7.73488 | − | 5.93057i | −0.396791 | − | 0.304232i | ||||
\(381\) | −12.1234 | + | 20.4680i | −0.621098 | + | 1.04861i | ||||
\(382\) | −4.29585 | + | 3.00799i | −0.219795 | + | 0.153902i | ||||
\(383\) | 0.677340 | + | 7.74203i | 0.0346105 | + | 0.395599i | 0.993665 | + | 0.112379i | \(0.0358471\pi\) |
−0.959055 | + | 0.283220i | \(0.908597\pi\) | |||||||
\(384\) | 1.33915 | − | 1.09848i | 0.0683384 | − | 0.0560568i | ||||
\(385\) | 7.93933 | + | 21.9343i | 0.404626 | + | 1.11787i | ||||
\(386\) | 14.8551 | + | 17.7037i | 0.756107 | + | 0.901093i | ||||
\(387\) | 13.1041 | − | 3.19998i | 0.666121 | − | 0.162664i | ||||
\(388\) | −1.30342 | − | 4.86442i | −0.0661709 | − | 0.246953i | ||||
\(389\) | 1.17116 | + | 6.64197i | 0.0593801 | + | 0.336761i | 0.999996 | − | 0.00271068i | \(-0.000862837\pi\) |
−0.940616 | + | 0.339472i | \(0.889752\pi\) | |||||||
\(390\) | −3.72432 | − | 1.41030i | −0.188588 | − | 0.0714134i | ||||
\(391\) | 1.35653 | − | 2.34958i | 0.0686028 | − | 0.118824i | ||||
\(392\) | −19.2964 | − | 5.17045i | −0.974614 | − | 0.261147i | ||||
\(393\) | 7.85553 | − | 10.9569i | 0.396259 | − | 0.552702i | ||||
\(394\) | 3.11137 | + | 8.54841i | 0.156748 | + | 0.430663i | ||||
\(395\) | 6.80421 | + | 14.6596i | 0.342357 | + | 0.737604i | ||||
\(396\) | −5.90920 | − | 1.17833i | −0.296949 | − | 0.0592132i | ||||
\(397\) | 16.4185 | − | 11.4964i | 0.824022 | − | 0.576986i | −0.0837327 | − | 0.996488i | \(-0.526684\pi\) |
0.907754 | + | 0.419502i | \(0.137795\pi\) | |||||||
\(398\) | −14.6886 | − | 14.6886i | −0.736274 | − | 0.736274i | ||||
\(399\) | −32.8814 | − | 21.3659i | −1.64613 | − | 1.06964i | ||||
\(400\) | −0.0177604 | + | 4.99997i | −0.000888022 | + | 0.249998i | ||||
\(401\) | −1.10198 | − | 0.194309i | −0.0550303 | − | 0.00970333i | 0.146065 | − | 0.989275i | \(-0.453339\pi\) |
−0.201096 | + | 0.979572i | \(0.564450\pi\) | |||||||
\(402\) | −10.1967 | + | 21.2455i | −0.508567 | + | 1.05963i | ||||
\(403\) | −5.13236 | + | 2.39326i | −0.255661 | + | 0.119217i | ||||
\(404\) | −4.42945 | + | 1.61219i | −0.220373 | + | 0.0802093i | ||||
\(405\) | −15.9325 | − | 12.2945i | −0.791692 | − | 0.610921i | ||||
\(406\) | −18.6360 | − | 32.2785i | −0.924888 | − | 1.60195i | ||||
\(407\) | −1.51856 | − | 5.66735i | −0.0752723 | − | 0.280920i | ||||
\(408\) | −0.748320 | + | 0.338846i | −0.0370474 | + | 0.0167754i | ||||
\(409\) | 28.3757 | − | 5.00340i | 1.40309 | − | 0.247402i | 0.579677 | − | 0.814847i | \(-0.303179\pi\) |
0.823412 | + | 0.567444i | \(0.192068\pi\) | |||||||
\(410\) | −7.59822 | + | 13.1067i | −0.375249 | + | 0.647293i | ||||
\(411\) | 0.141109 | − | 12.6602i | 0.00696041 | − | 0.624483i | ||||
\(412\) | 7.29551 | + | 0.638274i | 0.359424 | + | 0.0314455i | ||||
\(413\) | −50.5506 | − | 23.5721i | −2.48743 | − | 1.15991i | ||||
\(414\) | 16.9630 | − | 2.60262i | 0.833685 | − | 0.127912i | ||||
\(415\) | −0.571189 | − | 0.481015i | −0.0280385 | − | 0.0236121i | ||||
\(416\) | −1.01263 | − | 0.178554i | −0.0496483 | − | 0.00875433i | ||||
\(417\) | −18.9241 | + | 4.84530i | −0.926716 | + | 0.237275i | ||||
\(418\) | 1.91330 | + | 8.54328i | 0.0935823 | + | 0.417866i | ||||
\(419\) | 3.06380 | 0.149676 | 0.0748381 | − | 0.997196i | \(-0.476156\pi\) | ||||
0.0748381 | + | 0.997196i | \(0.476156\pi\) | |||||||
\(420\) | 1.49415 | + | 20.0605i | 0.0729071 | + | 0.978852i | ||||
\(421\) | 17.0546 | + | 14.3105i | 0.831190 | + | 0.697451i | 0.955564 | − | 0.294784i | \(-0.0952477\pi\) |
−0.124374 | + | 0.992235i | \(0.539692\pi\) | |||||||
\(422\) | −11.7915 | + | 5.49848i | −0.574003 | + | 0.267662i | ||||
\(423\) | −1.55772 | − | 23.9402i | −0.0757389 | − | 1.16401i | ||||
\(424\) | −1.91268 | − | 2.27944i | −0.0928878 | − | 0.110699i | ||||
\(425\) | 0.621884 | − | 2.28836i | 0.0301658 | − | 0.111002i | ||||
\(426\) | −7.65978 | − | 13.6153i | −0.371117 | − | 0.659665i | ||||
\(427\) | 22.4551 | − | 32.0692i | 1.08668 | − | 1.55194i | ||||
\(428\) | 4.46938 | − | 6.38293i | 0.216036 | − | 0.308531i | ||||
\(429\) | 1.75393 | + | 3.11763i | 0.0846804 | + | 0.150521i | ||||
\(430\) | −2.61948 | + | 9.70703i | −0.126322 | + | 0.468115i | ||||
\(431\) | 3.91974 | + | 4.67136i | 0.188807 | + | 0.225012i | 0.852141 | − | 0.523312i | \(-0.175304\pi\) |
−0.663334 | + | 0.748323i | \(0.730859\pi\) | |||||||
\(432\) | −4.63327 | − | 2.35219i | −0.222918 | − | 0.113170i | ||||
\(433\) | −2.82364 | + | 1.31668i | −0.135695 | + | 0.0632758i | −0.489280 | − | 0.872127i | \(-0.662740\pi\) |
0.353585 | + | 0.935403i | \(0.384963\pi\) | |||||||
\(434\) | 21.9126 | + | 18.3868i | 1.05184 | + | 0.882595i | ||||
\(435\) | −18.1384 | + | 21.0578i | −0.869670 | + | 1.00965i | ||||
\(436\) | 3.38809 | 0.162260 | ||||||||
\(437\) | −13.4428 | − | 21.0011i | −0.643057 | − | 1.00462i | ||||
\(438\) | 5.22916 | − | 1.33887i | 0.249859 | − | 0.0639735i | ||||
\(439\) | −10.4965 | − | 1.85081i | −0.500970 | − | 0.0883345i | −0.0825476 | − | 0.996587i | \(-0.526306\pi\) |
−0.418422 | + | 0.908253i | \(0.637417\pi\) | |||||||
\(440\) | 2.89298 | − | 3.43531i | 0.137917 | − | 0.163772i | ||||
\(441\) | 9.08885 | + | 59.2380i | 0.432802 | + | 2.82086i | ||||
\(442\) | 0.441979 | + | 0.206098i | 0.0210228 | + | 0.00980310i | ||||
\(443\) | −3.69956 | − | 0.323670i | −0.175772 | − | 0.0153780i | −0.00106988 | − | 0.999999i | \(-0.500341\pi\) |
−0.174702 | + | 0.984621i | \(0.555896\pi\) | |||||||
\(444\) | 0.0563910 | − | 5.05936i | 0.00267620 | − | 0.240106i | ||||
\(445\) | −3.85244 | − | 14.4803i | −0.182623 | − | 0.686434i | ||||
\(446\) | 25.4384 | − | 4.48548i | 1.20454 | − | 0.212394i | ||||
\(447\) | −5.70978 | + | 2.58544i | −0.270063 | + | 0.122287i | ||||
\(448\) | 1.34429 | + | 5.01697i | 0.0635118 | + | 0.237029i | ||||
\(449\) | 10.1794 | + | 17.6313i | 0.480398 | + | 0.832073i | 0.999747 | − | 0.0224886i | \(-0.00715895\pi\) |
−0.519349 | + | 0.854562i | \(0.673826\pi\) | |||||||
\(450\) | 13.7539 | − | 5.98587i | 0.648364 | − | 0.282177i | ||||
\(451\) | 12.7875 | − | 4.65426i | 0.602138 | − | 0.219160i | ||||
\(452\) | −8.89509 | + | 4.14785i | −0.418390 | + | 0.195098i | ||||
\(453\) | −1.92443 | + | 4.00965i | −0.0904174 | + | 0.188390i | ||||
\(454\) | 19.8840 | + | 3.50609i | 0.933204 | + | 0.164549i | ||||
\(455\) | 8.45935 | − | 8.42935i | 0.396580 | − | 0.395174i | ||||
\(456\) | −0.397142 | + | 7.53938i | −0.0185979 | + | 0.353064i | ||||
\(457\) | 3.03439 | + | 3.03439i | 0.141943 | + | 0.141943i | 0.774507 | − | 0.632565i | \(-0.217998\pi\) |
−0.632565 | + | 0.774507i | \(0.717998\pi\) | |||||||
\(458\) | 17.6598 | − | 12.3655i | 0.825187 | − | 0.577802i | ||||
\(459\) | 1.83382 | + | 1.64630i | 0.0855953 | + | 0.0768427i | ||||
\(460\) | −4.39626 | + | 12.0122i | −0.204977 | + | 0.560072i | ||||
\(461\) | −6.91142 | − | 18.9890i | −0.321897 | − | 0.884405i | −0.990092 | − | 0.140419i | \(-0.955155\pi\) |
0.668195 | − | 0.743986i | \(-0.267067\pi\) | |||||||
\(462\) | 10.5282 | − | 14.6848i | 0.489818 | − | 0.683198i | ||||
\(463\) | −17.0295 | − | 4.56304i | −0.791428 | − | 0.212063i | −0.159611 | − | 0.987180i | \(-0.551024\pi\) |
−0.631817 | + | 0.775117i | \(0.717691\pi\) | |||||||
\(464\) | −3.58802 | + | 6.21463i | −0.166570 | + | 0.288507i | ||||
\(465\) | 7.55360 | − | 19.9475i | 0.350290 | − | 0.925045i | ||||
\(466\) | −0.527475 | − | 2.99146i | −0.0244348 | − | 0.138577i | ||||
\(467\) | −8.39598 | − | 31.3342i | −0.388520 | − | 1.44998i | −0.832543 | − | 0.553960i | \(-0.813116\pi\) |
0.444024 | − | 0.896015i | \(-0.353551\pi\) | |||||||
\(468\) | 0.731782 | + | 2.99670i | 0.0338266 | + | 0.138523i | ||||
\(469\) | −45.4240 | − | 54.1342i | −2.09748 | − | 2.49968i | ||||
\(470\) | 16.1929 | + | 7.58590i | 0.746921 | + | 0.349911i | ||||
\(471\) | 25.1345 | − | 20.6174i | 1.15814 | − | 0.949998i | ||||
\(472\) | 0.935942 | + | 10.6979i | 0.0430802 | + | 0.492409i | ||||
\(473\) | 7.39783 | − | 5.18002i | 0.340153 | − | 0.238177i | ||||
\(474\) | 6.37984 | − | 10.7712i | 0.293036 | − | 0.494736i | ||||
\(475\) | −16.0480 | − | 14.7466i | −0.736331 | − | 0.676622i | ||||
\(476\) | − | 2.46334i | − | 0.112907i | ||||||
\(477\) | −3.95202 | + | 8.00433i | −0.180950 | + | 0.366493i | ||||
\(478\) | 14.8344 | − | 1.29784i | 0.678511 | − | 0.0593620i | ||||
\(479\) | 34.6941 | + | 12.6276i | 1.58522 | + | 0.576971i | 0.976330 | − | 0.216287i | \(-0.0693946\pi\) |
0.608886 | + | 0.793258i | \(0.291617\pi\) | |||||||
\(480\) | 3.20100 | − | 2.18027i | 0.146105 | − | 0.0995154i | ||||
\(481\) | −2.30099 | + | 1.93076i | −0.104916 | + | 0.0880351i | ||||
\(482\) | −9.09360 | − | 2.43662i | −0.414202 | − | 0.110985i | ||||
\(483\) | −13.8727 | + | 49.5575i | −0.631229 | + | 2.25494i | ||||
\(484\) | 6.86005 | − | 1.20961i | 0.311820 | − | 0.0549823i | ||||
\(485\) | −1.93573 | − | 11.0932i | −0.0878970 | − | 0.503718i | ||||
\(486\) | −0.868250 | + | 15.5643i | −0.0393846 | + | 0.706009i | ||||
\(487\) | 7.85577 | − | 29.3181i | 0.355979 | − | 1.32853i | −0.523270 | − | 0.852167i | \(-0.675288\pi\) |
0.879248 | − | 0.476364i | \(-0.158045\pi\) | |||||||
\(488\) | −7.50880 | − | 0.656935i | −0.339907 | − | 0.0297380i | ||||
\(489\) | 15.2294 | + | 2.86072i | 0.688696 | + | 0.129366i | ||||
\(490\) | −41.9490 | − | 15.3526i | −1.89506 | − | 0.693560i | ||||
\(491\) | 2.43882 | − | 2.90648i | 0.110063 | − | 0.131168i | −0.708201 | − | 0.706011i | \(-0.750493\pi\) |
0.818263 | + | 0.574844i | \(0.194937\pi\) | |||||||
\(492\) | 11.7011 | − | 0.892421i | 0.527524 | − | 0.0402334i | ||||
\(493\) | 2.40656 | − | 2.40656i | 0.108386 | − | 0.108386i | ||||
\(494\) | 3.54997 | − | 2.73614i | 0.159721 | − | 0.123105i | ||||
\(495\) | −12.9267 | − | 3.79938i | −0.581013 | − | 0.170769i | ||||
\(496\) | 0.956339 | − | 5.42367i | 0.0429409 | − | 0.243530i | ||||
\(497\) | 46.6681 | − | 4.08293i | 2.09335 | − | 0.183144i | ||||
\(498\) | −0.0568324 | + | 0.575630i | −0.00254672 | + | 0.0257946i | ||||
\(499\) | 3.62735 | + | 9.96606i | 0.162382 | + | 0.446142i | 0.994023 | − | 0.109172i | \(-0.0348201\pi\) |
−0.831640 | + | 0.555315i | \(0.812598\pi\) | |||||||
\(500\) | −1.03376 | + | 11.1324i | −0.0462312 | + | 0.497858i | ||||
\(501\) | −0.359978 | + | 32.2969i | −0.0160826 | + | 1.44292i | ||||
\(502\) | 23.8747 | − | 6.39720i | 1.06558 | − | 0.285521i | ||||
\(503\) | 0.400527 | − | 0.572012i | 0.0178586 | − | 0.0255048i | −0.810123 | − | 0.586259i | \(-0.800600\pi\) |
0.827982 | + | 0.560755i | \(0.189489\pi\) | |||||||
\(504\) | 12.1567 | − | 9.74727i | 0.541501 | − | 0.434178i | ||||
\(505\) | −10.1859 | + | 2.70992i | −0.453266 | + | 0.120590i | ||||
\(506\) | 9.95036 | − | 5.74485i | 0.442348 | − | 0.255390i | ||||
\(507\) | −12.0527 | + | 16.8112i | −0.535281 | + | 0.746610i | ||||
\(508\) | −5.80448 | + | 12.4477i | −0.257532 | + | 0.552279i | ||||
\(509\) | 14.6234 | + | 5.32249i | 0.648172 | + | 0.235915i | 0.645121 | − | 0.764080i | \(-0.276807\pi\) |
0.00305028 | + | 0.999995i | \(0.499029\pi\) | |||||||
\(510\) | −1.73404 | + | 0.605882i | −0.0767847 | + | 0.0268289i | ||||
\(511\) | −2.81078 | + | 15.9407i | −0.124342 | + | 0.705177i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 21.1863 | − | 8.00881i | 0.935398 | − | 0.353598i | ||||
\(514\) | 10.0805i | 0.444631i | ||||||||
\(515\) | 16.1217 | + | 2.87223i | 0.710408 | + | 0.126565i | ||||
\(516\) | 7.34755 | − | 2.58192i | 0.323458 | − | 0.113663i | ||||
\(517\) | −6.78807 | − | 14.5571i | −0.298539 | − | 0.640219i | ||||
\(518\) | 13.7510 | + | 6.41220i | 0.604185 | + | 0.281736i | ||||
\(519\) | −5.80105 | − | 35.1884i | −0.254638 | − | 1.54460i | ||||
\(520\) | −2.21984 | − | 0.599031i | −0.0973462 | − | 0.0262692i | ||||
\(521\) | 7.53899 | + | 4.35264i | 0.330289 | + | 0.190693i | 0.655970 | − | 0.754787i | \(-0.272260\pi\) |
−0.325680 | + | 0.945480i | \(0.605593\pi\) | |||||||
\(522\) | 21.3991 | + | 2.35385i | 0.936611 | + | 0.103025i | ||||
\(523\) | −14.7688 | − | 10.3412i | −0.645795 | − | 0.452190i | 0.204237 | − | 0.978921i | \(-0.434529\pi\) |
−0.850032 | + | 0.526731i | \(0.823417\pi\) | |||||||
\(524\) | 3.89190 | − | 6.74097i | 0.170019 | − | 0.294481i | ||||
\(525\) | −0.661084 | + | 44.9760i | −0.0288521 | + | 1.96291i | ||||
\(526\) | 22.1375 | − | 18.5756i | 0.965240 | − | 0.809933i | ||||
\(527\) | −1.10387 | + | 2.36725i | −0.0480852 | + | 0.103119i | ||||
\(528\) | −3.46201 | − | 0.341808i | −0.150665 | − | 0.0148753i | ||||
\(529\) | −6.25051 | + | 7.44906i | −0.271761 | + | 0.323872i | ||||
\(530\) | −3.80669 | − | 5.45711i | −0.165352 | − | 0.237042i | ||||
\(531\) | 28.2522 | − | 15.4822i | 1.22604 | − | 0.671872i | ||||
\(532\) | −20.1043 | − | 10.4107i | −0.871631 | − | 0.451361i | ||||
\(533\) | −4.92616 | − | 4.92616i | −0.213376 | − | 0.213376i | ||||
\(534\) | −7.55920 | + | 8.80746i | −0.327119 | + | 0.381136i | ||||
\(535\) | 11.2234 | − | 13.3274i | 0.485232 | − | 0.576195i | ||||
\(536\) | −4.65342 | + | 12.7852i | −0.200997 | + | 0.552235i | ||||
\(537\) | −9.43257 | − | 13.7958i | −0.407045 | − | 0.595334i | ||||
\(538\) | −1.86376 | + | 21.3028i | −0.0803522 | + | 0.918430i | ||||
\(539\) | 20.0621 | + | 34.7486i | 0.864136 | + | 1.49673i | ||||
\(540\) | −9.85155 | − | 6.16012i | −0.423943 | − | 0.265089i | ||||
\(541\) | −0.860461 | − | 4.87992i | −0.0369941 | − | 0.209804i | 0.960708 | − | 0.277562i | \(-0.0895265\pi\) |
−0.997702 | + | 0.0677582i | \(0.978415\pi\) | |||||||
\(542\) | 18.5048 | + | 12.9572i | 0.794848 | + | 0.556559i | ||||
\(543\) | 2.66318 | + | 0.745508i | 0.114288 | + | 0.0319928i | ||||
\(544\) | −0.410731 | + | 0.237136i | −0.0176099 | + | 0.0101671i | ||||
\(545\) | 7.54598 | + | 0.673695i | 0.323234 | + | 0.0288579i | ||||
\(546\) | −9.09134 | − | 1.70773i | −0.389073 | − | 0.0730843i | ||||
\(547\) | 0.539967 | + | 1.15796i | 0.0230873 | + | 0.0495109i | 0.917513 | − | 0.397705i | \(-0.130193\pi\) |
−0.894426 | + | 0.447216i | \(0.852416\pi\) | |||||||
\(548\) | −0.637094 | − | 7.28202i | −0.0272153 | − | 0.311073i | ||||
\(549\) | 7.25838 | + | 21.4158i | 0.309780 | + | 0.914006i | ||||
\(550\) | 7.12635 | − | 7.07590i | 0.303868 | − | 0.301717i | ||||
\(551\) | −9.47013 | − | 29.8116i | −0.403441 | − | 1.27002i | ||||
\(552\) | 9.59856 | − | 2.45760i | 0.408542 | − | 0.104603i | ||||
\(553\) | 21.5323 | + | 30.7513i | 0.915648 | + | 1.30768i | ||||
\(554\) | −15.7713 | − | 13.2337i | −0.670059 | − | 0.562246i | ||||
\(555\) | 1.13161 | − | 11.2570i | 0.0480341 | − | 0.477834i | ||||
\(556\) | −10.5981 | + | 3.85739i | −0.449460 | + | 0.163590i | ||||
\(557\) | −3.66427 | + | 41.8828i | −0.155260 | + | 1.77463i | 0.375224 | + | 0.926934i | \(0.377566\pi\) |
−0.530484 | + | 0.847695i | \(0.677990\pi\) | |||||||
\(558\) | −16.0504 | + | 3.91944i | −0.679467 | + | 0.165923i | ||||
\(559\) | −4.00401 | − | 2.31172i | −0.169352 | − | 0.0977752i | ||||
\(560\) | 1.99644 | + | 11.4411i | 0.0843648 | + | 0.483476i | ||||
\(561\) | 1.54403 | + | 0.581549i | 0.0651890 | + | 0.0245530i | ||||
\(562\) | 5.75040 | − | 1.54081i | 0.242566 | − | 0.0649953i | ||||
\(563\) | −9.76122 | + | 36.4294i | −0.411387 | + | 1.53532i | 0.380578 | + | 0.924749i | \(0.375725\pi\) |
−0.791965 | + | 0.610567i | \(0.790942\pi\) | |||||||
\(564\) | −2.25304 | − | 13.6666i | −0.0948701 | − | 0.575469i | ||||
\(565\) | −20.6360 | + | 7.46941i | −0.868163 | + | 0.314240i | ||||
\(566\) | 3.43256 | − | 9.43087i | 0.144281 | − | 0.396409i | ||||
\(567\) | −41.4433 | − | 21.6240i | −1.74045 | − | 0.908122i | ||||
\(568\) | −5.17333 | − | 7.38827i | −0.217068 | − | 0.310005i | ||||
\(569\) | 15.1286 | 0.634222 | 0.317111 | − | 0.948388i | \(-0.397287\pi\) | ||||
0.317111 | + | 0.948388i | \(0.397287\pi\) | |||||||
\(570\) | −2.38366 | + | 16.7128i | −0.0998407 | + | 0.700023i | ||||
\(571\) | −44.7125 | −1.87116 | −0.935579 | − | 0.353116i | \(-0.885122\pi\) | ||||
−0.935579 | + | 0.353116i | \(0.885122\pi\) | |||||||
\(572\) | 1.18458 | + | 1.69176i | 0.0495299 | + | 0.0707360i | ||||
\(573\) | 8.18900 | + | 3.93029i | 0.342100 | + | 0.164190i | ||||
\(574\) | −12.0357 | + | 33.0679i | −0.502362 | + | 1.38023i | ||||
\(575\) | −12.1799 | + | 25.8795i | −0.507938 | + | 1.07925i | ||||
\(576\) | −2.79551 | − | 1.08864i | −0.116479 | − | 0.0453600i | ||||
\(577\) | 2.98245 | − | 11.1307i | 0.124161 | − | 0.463375i | −0.875647 | − | 0.482951i | \(-0.839565\pi\) |
0.999808 | + | 0.0195757i | \(0.00623154\pi\) | |||||||
\(578\) | −16.2035 | + | 4.34171i | −0.673976 | + | 0.180591i | ||||
\(579\) | 14.1089 | − | 37.4596i | 0.586348 | − | 1.55677i | ||||
\(580\) | −9.22700 | + | 13.1278i | −0.383130 | + | 0.545104i | ||||
\(581\) | −1.50216 | − | 0.867274i | −0.0623202 | − | 0.0359806i | ||||
\(582\) | −6.23619 | + | 6.09871i | −0.258498 | + | 0.252800i | ||||
\(583\) | −0.520889 | + | 5.95379i | −0.0215730 | + | 0.246581i | ||||
\(584\) | 2.92850 | − | 1.06589i | 0.121182 | − | 0.0441067i | ||||
\(585\) | 1.03396 | + | 6.81979i | 0.0427490 | + | 0.281964i | ||||
\(586\) | 22.9608 | + | 19.2664i | 0.948503 | + | 0.795889i | ||||
\(587\) | 6.82793 | + | 9.75130i | 0.281819 | + | 0.402479i | 0.934958 | − | 0.354759i | \(-0.115437\pi\) |
−0.653139 | + | 0.757238i | \(0.726548\pi\) | |||||||
\(588\) | 8.58242 | + | 33.5200i | 0.353933 | + | 1.38234i | ||||
\(589\) | 14.6548 | + | 19.0137i | 0.603842 | + | 0.783445i | ||||
\(590\) | −0.0426474 | + | 24.0125i | −0.00175577 | + | 0.988579i | ||||
\(591\) | 10.2620 | − | 11.9566i | 0.422122 | − | 0.491827i | ||||
\(592\) | −0.254600 | − | 2.91009i | −0.0104640 | − | 0.119604i | ||||
\(593\) | 4.98316 | + | 10.6864i | 0.204634 | + | 0.438839i | 0.981663 | − | 0.190626i | \(-0.0610519\pi\) |
−0.777029 | + | 0.629465i | \(0.783274\pi\) | |||||||
\(594\) | 3.23966 | + | 9.92099i | 0.132925 | + | 0.407063i | ||||
\(595\) | 0.489815 | − | 5.48637i | 0.0200805 | − | 0.224919i | ||||
\(596\) | −3.13393 | + | 1.80938i | −0.128371 | + | 0.0741149i | ||||
\(597\) | −9.69898 | + | 34.6477i | −0.396953 | + | 1.41804i | ||||
\(598\) | −4.81834 | − | 3.37384i | −0.197037 | − | 0.137967i | ||||
\(599\) | 3.74830 | + | 21.2577i | 0.153151 | + | 0.868564i | 0.960457 | + | 0.278430i | \(0.0898140\pi\) |
−0.807305 | + | 0.590134i | \(0.799075\pi\) | |||||||
\(600\) | 7.56283 | − | 4.21943i | 0.308751 | − | 0.172258i | ||||
\(601\) | 8.57455 | + | 14.8516i | 0.349763 | + | 0.605808i | 0.986207 | − | 0.165515i | \(-0.0529287\pi\) |
−0.636444 | + | 0.771323i | \(0.719595\pi\) | |||||||
\(602\) | −2.03544 | + | 23.2652i | −0.0829584 | + | 0.948218i | ||||
\(603\) | 40.7309 | − | 2.65025i | 1.65869 | − | 0.107926i | ||||
\(604\) | −0.878238 | + | 2.41294i | −0.0357350 | + | 0.0981811i | ||||
\(605\) | 15.5193 | − | 1.32999i | 0.630949 | − | 0.0540718i | ||||
\(606\) | 6.19542 | + | 5.31736i | 0.251672 | + | 0.216003i | ||||
\(607\) | 7.56959 | + | 7.56959i | 0.307240 | + | 0.307240i | 0.843838 | − | 0.536598i | \(-0.180291\pi\) |
−0.536598 | + | 0.843838i | \(0.680291\pi\) | |||||||
\(608\) | 0.199502 | + | 4.35433i | 0.00809088 | + | 0.176591i | ||||
\(609\) | −32.8996 | + | 55.5447i | −1.33316 | + | 2.25079i | ||||
\(610\) | −16.5930 | − | 2.95620i | −0.671833 | − | 0.119693i | ||||
\(611\) | −5.28555 | + | 6.29908i | −0.213831 | + | 0.254833i | ||||
\(612\) | 1.14702 | + | 0.841867i | 0.0463656 | + | 0.0340305i | ||||
\(613\) | 4.20181 | − | 9.01082i | 0.169710 | − | 0.363943i | −0.802997 | − | 0.595984i | \(-0.796762\pi\) |
0.972706 | + | 0.232040i | \(0.0745401\pi\) | |||||||
\(614\) | 14.2512 | − | 11.9582i | 0.575132 | − | 0.482593i | ||||
\(615\) | 26.2381 | + | 0.339054i | 1.05802 | + | 0.0136720i | ||||
\(616\) | 5.21606 | − | 9.03447i | 0.210161 | − | 0.364009i | ||||
\(617\) | −29.6624 | − | 20.7698i | −1.19416 | − | 0.836161i | −0.204400 | − | 0.978887i | \(-0.565524\pi\) |
−0.989762 | + | 0.142726i | \(0.954413\pi\) | |||||||
\(618\) | −5.23223 | − | 11.5551i | −0.210471 | − | 0.464813i | ||||
\(619\) | −2.20645 | − | 1.27389i | −0.0886846 | − | 0.0512021i | 0.455002 | − | 0.890490i | \(-0.349639\pi\) |
−0.543686 | + | 0.839288i | \(0.682972\pi\) | |||||||
\(620\) | 3.20842 | − | 11.8895i | 0.128853 | − | 0.477493i | ||||
\(621\) | −18.3347 | − | 23.3963i | −0.735746 | − | 0.938863i | ||||
\(622\) | −29.5701 | − | 13.7888i | −1.18565 | − | 0.552879i | ||||
\(623\) | −14.7092 | − | 31.5440i | −0.589312 | − | 1.26378i | ||||
\(624\) | 0.590442 | + | 1.68026i | 0.0236366 | + | 0.0672644i | ||||
\(625\) | −4.51600 | + | 24.5887i | −0.180640 | + | 0.983549i | ||||
\(626\) | 16.6514i | 0.665524i | ||||||||
\(627\) | 11.2717 | − | 10.1436i | 0.450149 | − | 0.405098i | ||||
\(628\) | 13.2716 | − | 13.2716i | 0.529596 | − | 0.529596i | ||||
\(629\) | −0.240579 | + | 1.36439i | −0.00959253 | + | 0.0544019i | ||||
\(630\) | 29.0136 | − | 19.2920i | 1.15593 | − | 0.768610i | ||||
\(631\) | 33.4801 | + | 12.1857i | 1.33282 | + | 0.485107i | 0.907544 | − | 0.419957i | \(-0.137955\pi\) |
0.425276 | + | 0.905064i | \(0.360177\pi\) | |||||||
\(632\) | 3.05457 | − | 6.55055i | 0.121504 | − | 0.260567i | ||||
\(633\) | 18.3143 | + | 13.1304i | 0.727927 | + | 0.521887i | ||||
\(634\) | 13.7022 | − | 7.91099i | 0.544185 | − | 0.314186i | ||||
\(635\) | −15.4029 | + | 26.5695i | −0.611246 | + | 1.05438i | ||||
\(636\) | −1.81660 | + | 4.82312i | −0.0720329 | + | 0.191249i | ||||
\(637\) | 11.7821 | − | 16.8266i | 0.466824 | − | 0.666693i | ||||
\(638\) | 13.9221 | − | 3.73040i | 0.551180 | − | 0.147688i | ||||
\(639\) | −14.0481 | + | 23.1258i | −0.555733 | + | 0.914841i | ||||
\(640\) | 1.71548 | − | 1.43427i | 0.0678102 | − | 0.0566946i | ||||
\(641\) | 5.52167 | + | 15.1707i | 0.218093 | + | 0.599205i | 0.999698 | − | 0.0245681i | \(-0.00782106\pi\) |
−0.781605 | + | 0.623773i | \(0.785599\pi\) | |||||||
\(642\) | −13.4311 | − | 1.32606i | −0.530081 | − | 0.0523354i | ||||
\(643\) | −2.65494 | + | 0.232278i | −0.104701 | + | 0.00916013i | −0.139386 | − | 0.990238i | \(-0.544513\pi\) |
0.0346849 | + | 0.999398i | \(0.488957\pi\) | |||||||
\(644\) | −5.15942 | + | 29.2605i | −0.203310 | + | 1.15303i | ||||
\(645\) | 16.8779 | − | 4.28948i | 0.664568 | − | 0.168898i | ||||
\(646\) | 0.443102 | − | 2.01925i | 0.0174336 | − | 0.0794465i | ||||
\(647\) | −29.0061 | + | 29.0061i | −1.14035 | + | 1.14035i | −0.151962 | + | 0.988386i | \(0.548559\pi\) |
−0.988386 | + | 0.151962i | \(0.951441\pi\) | |||||||
\(648\) | 0.384046 | + | 8.99180i | 0.0150868 | + | 0.353231i | ||||
\(649\) | 13.8642 | − | 16.5227i | 0.544218 | − | 0.648574i | ||||
\(650\) | −4.82493 | − | 1.77556i | −0.189249 | − | 0.0696434i | ||||
\(651\) | 9.14666 | − | 48.6934i | 0.358486 | − | 1.90844i | ||||
\(652\) | 8.91242 | + | 0.779736i | 0.349037 | + | 0.0305368i | ||||
\(653\) | 10.5339 | − | 39.3131i | 0.412224 | − | 1.53844i | −0.378108 | − | 0.925761i | \(-0.623425\pi\) |
0.790332 | − | 0.612679i | \(-0.209908\pi\) | |||||||
\(654\) | −2.87735 | − | 5.11452i | −0.112513 | − | 0.199994i | ||||
\(655\) | 10.0085 | − | 14.2397i | 0.391063 | − | 0.556391i | ||||
\(656\) | 6.67229 | − | 1.17651i | 0.260509 | − | 0.0459348i | ||||
\(657\) | −6.46198 | − | 6.75669i | −0.252106 | − | 0.263603i | ||||
\(658\) | 40.1203 | + | 10.7502i | 1.56405 | + | 0.419087i | ||||
\(659\) | 19.0031 | − | 15.9455i | 0.740255 | − | 0.621147i | −0.192651 | − | 0.981267i | \(-0.561709\pi\) |
0.932906 | + | 0.360120i | \(0.117264\pi\) | |||||||
\(660\) | −7.64267 | − | 1.44967i | −0.297490 | − | 0.0564284i | ||||
\(661\) | 23.1942 | + | 8.44200i | 0.902150 | + | 0.328356i | 0.751114 | − | 0.660172i | \(-0.229517\pi\) |
0.151036 | + | 0.988528i | \(0.451739\pi\) | |||||||
\(662\) | 28.2276 | − | 2.46959i | 1.09710 | − | 0.0959834i | ||||
\(663\) | −0.0642350 | − | 0.842223i | −0.00249468 | − | 0.0327092i | ||||
\(664\) | 0.333956i | 0.0129600i | ||||||||
\(665\) | −42.7063 | − | 27.1844i | −1.65608 | − | 1.05417i | ||||
\(666\) | −7.68529 | + | 4.21155i | −0.297799 | + | 0.163194i | ||||
\(667\) | −33.6266 | + | 23.5456i | −1.30203 | + | 0.911689i | ||||
\(668\) | 1.62526 | + | 18.5768i | 0.0628833 | + | 0.718760i | ||||
\(669\) | −28.3748 | − | 34.5915i | −1.09703 | − | 1.33738i | ||||
\(670\) | −12.9064 | + | 27.5499i | −0.498616 | + | 1.06435i | ||||
\(671\) | 9.73125 | + | 11.5972i | 0.375671 | + | 0.447707i | ||||
\(672\) | 6.43176 | − | 6.28997i | 0.248111 | − | 0.242641i | ||||
\(673\) | −2.78083 | − | 10.3782i | −0.107193 | − | 0.400050i | 0.891392 | − | 0.453234i | \(-0.149730\pi\) |
−0.998585 | + | 0.0531840i | \(0.983063\pi\) | |||||||
\(674\) | −4.52642 | − | 25.6706i | −0.174351 | − | 0.988795i | ||||
\(675\) | −20.7166 | − | 15.6788i | −0.797381 | − | 0.603476i | ||||
\(676\) | −5.97135 | + | 10.3427i | −0.229667 | + | 0.397795i | ||||
\(677\) | 24.4629 | + | 6.55482i | 0.940186 | + | 0.251922i | 0.696193 | − | 0.717855i | \(-0.254876\pi\) |
0.243993 | + | 0.969777i | \(0.421543\pi\) | |||||||
\(678\) | 13.8156 | + | 9.90509i | 0.530585 | + | 0.380403i | ||||
\(679\) | −8.94615 | − | 24.5793i | −0.343322 | − | 0.943268i | ||||
\(680\) | −0.961936 | + | 0.446480i | −0.0368886 | + | 0.0171217i | ||||
\(681\) | −11.5939 | − | 32.9937i | −0.444281 | − | 1.26432i | ||||
\(682\) | −9.06110 | + | 6.34465i | −0.346967 | + | 0.242949i | ||||
\(683\) | 20.1067 | + | 20.1067i | 0.769363 | + | 0.769363i | 0.977994 | − | 0.208631i | \(-0.0669009\pi\) |
−0.208631 | + | 0.977994i | \(0.566901\pi\) | |||||||
\(684\) | 11.7184 | − | 5.80334i | 0.448065 | − | 0.221896i | ||||
\(685\) | 0.0290300 | − | 16.3453i | 0.00110918 | − | 0.624521i | ||||
\(686\) | −66.3782 | − | 11.7043i | −2.53433 | − | 0.446871i | ||||
\(687\) | −33.6641 | − | 16.1570i | −1.28436 | − | 0.616428i | ||||
\(688\) | 4.07512 | − | 1.90026i | 0.155363 | − | 0.0724468i | ||||
\(689\) | 2.87514 | − | 1.04647i | 0.109534 | − | 0.0398672i | ||||
\(690\) | 21.8667 | − | 3.56500i | 0.832450 | − | 0.135717i | ||||
\(691\) | −17.9155 | − | 31.0306i | −0.681538 | − | 1.18046i | −0.974512 | − | 0.224338i | \(-0.927978\pi\) |
0.292974 | − | 0.956120i | \(-0.405355\pi\) | |||||||
\(692\) | −5.32915 | − | 19.8886i | −0.202584 | − | 0.756053i | ||||
\(693\) | −31.1087 | − | 3.42189i | −1.18172 | − | 0.129987i | ||||
\(694\) | −4.60162 | + | 0.811390i | −0.174675 | + | 0.0307999i | ||||
\(695\) | −24.3712 | + | 6.48387i | −0.924452 | + | 0.245947i | ||||
\(696\) | 12.4285 | + | 0.138527i | 0.471101 | + | 0.00525083i | ||||
\(697\) | −3.20107 | − | 0.280057i | −0.121249 | − | 0.0106079i | ||||
\(698\) | −5.71950 | − | 2.66705i | −0.216486 | − | 0.100949i | ||||
\(699\) | −4.06782 | + | 3.33676i | −0.153859 | + | 0.126208i | ||||
\(700\) | 2.17150 | + | 25.8788i | 0.0820750 | + | 0.978126i | ||||
\(701\) | 38.0094 | + | 6.70208i | 1.43559 | + | 0.253134i | 0.836685 | − | 0.547684i | \(-0.184490\pi\) |
0.598908 | + | 0.800818i | \(0.295601\pi\) | |||||||
\(702\) | 3.90223 | − | 3.64963i | 0.147280 | − | 0.137746i | ||||
\(703\) | 10.1186 | + | 7.72974i | 0.381630 | + | 0.291533i | ||||
\(704\) | −2.00851 | −0.0756987 | ||||||||
\(705\) | −2.30049 | − | 30.8864i | −0.0866415 | − | 1.16325i | ||||
\(706\) | −4.95360 | − | 4.15657i | −0.186431 | − | 0.156434i | ||||
\(707\) | −22.1890 | + | 10.3469i | −0.834502 | + | 0.389135i | ||||
\(708\) | 15.3542 | − | 10.4981i | 0.577047 | − | 0.394542i | ||||
\(709\) | 1.25167 | + | 1.49168i | 0.0470075 | + | 0.0560213i | 0.789036 | − | 0.614347i | \(-0.210581\pi\) |
−0.742028 | + | 0.670368i | \(0.766136\pi\) | |||||||
\(710\) | −10.0530 | − | 17.4839i | −0.377282 | − | 0.656159i | ||||
\(711\) | −21.6778 | − | 0.483297i | −0.812982 | − | 0.0181250i | ||||
\(712\) | −3.84357 | + | 5.48919i | −0.144044 | + | 0.205716i | ||||
\(713\) | 18.0703 | − | 25.8071i | 0.676740 | − | 0.966485i | ||||
\(714\) | −3.71855 | + | 2.09200i | −0.139163 | + | 0.0782911i | ||||
\(715\) | 2.30192 | + | 4.00345i | 0.0860870 | + | 0.149721i | ||||
\(716\) | −6.20213 | − | 7.39142i | −0.231785 | − | 0.276230i | ||||
\(717\) | −14.5574 | − | 21.2912i | −0.543655 | − | 0.795136i | ||||
\(718\) | −25.7121 | + | 11.9898i | −0.959568 | + | 0.447454i | ||||
\(719\) | −11.7772 | − | 9.88221i | −0.439214 | − | 0.368544i | 0.396201 | − | 0.918164i | \(-0.370328\pi\) |
−0.835415 | + | 0.549620i | \(0.814773\pi\) | |||||||
\(720\) | −6.00971 | − | 2.98049i | −0.223969 | − | 0.111076i | ||||
\(721\) | 38.0372 | 1.41658 | ||||||||
\(722\) | −14.6073 | − | 12.1502i | −0.543626 | − | 0.452184i | ||||
\(723\) | 4.04455 | + | 15.7966i | 0.150418 | + | 0.587483i | ||||
\(724\) | 1.57244 | + | 0.277264i | 0.0584393 | + | 0.0103044i | ||||
\(725\) | −23.1608 | + | 27.4037i | −0.860172 | + | 1.01775i | ||||
\(726\) | −7.65190 | − | 9.32838i | −0.283989 | − | 0.346209i | ||||
\(727\) | 2.07351 | + | 0.966892i | 0.0769021 | + | 0.0358600i | 0.460689 | − | 0.887562i | \(-0.347602\pi\) |
−0.383787 | + | 0.923422i | \(0.625380\pi\) | |||||||
\(728\) | −5.32036 | − | 0.465471i | −0.197186 | − | 0.0172515i | ||||
\(729\) | 24.2325 | − | 11.9073i | 0.897501 | − | 0.441012i | ||||
\(730\) | 6.73433 | − | 1.79164i | 0.249249 | − | 0.0663117i | ||||
\(731\) | −2.10012 | + | 0.370307i | −0.0776756 | + | 0.0136963i | ||||
\(732\) | 5.38519 | + | 11.8929i | 0.199042 | + | 0.439573i | ||||
\(733\) | −3.49197 | − | 13.0322i | −0.128979 | − | 0.481356i | 0.870971 | − | 0.491334i | \(-0.163491\pi\) |
−0.999950 | + | 0.00997799i | \(0.996824\pi\) | |||||||
\(734\) | 2.39608 | + | 4.15014i | 0.0884410 | + | 0.153184i | ||||
\(735\) | 12.4497 | + | 76.3627i | 0.459213 | + | 2.81668i | ||||
\(736\) | 5.37551 | − | 1.95652i | 0.198144 | − | 0.0721184i | ||||
\(737\) | 24.7668 | − | 11.5490i | 0.912299 | − | 0.425412i | ||||
\(738\) | −11.2843 | − | 16.9055i | −0.415382 | − | 0.622301i | ||||
\(739\) | −34.5427 | − | 6.09080i | −1.27067 | − | 0.224054i | −0.502657 | − | 0.864486i | \(-0.667644\pi\) |
−0.768015 | + | 0.640432i | \(0.778755\pi\) | |||||||
\(740\) | 0.0116011 | − | 6.53200i | 0.000426467 | − | 0.240121i | ||||
\(741\) | −7.14519 | − | 3.03521i | −0.262485 | − | 0.111501i | ||||
\(742\) | −10.9284 | − | 10.9284i | −0.401194 | − | 0.401194i | ||||
\(743\) | −8.48367 | + | 5.94033i | −0.311236 | + | 0.217930i | −0.718749 | − | 0.695270i | \(-0.755285\pi\) |
0.407513 | + | 0.913199i | \(0.366396\pi\) | |||||||
\(744\) | −8.99952 | + | 3.16242i | −0.329938 | + | 0.115940i | ||||
\(745\) | −7.33970 | + | 3.40670i | −0.268906 | + | 0.124812i | ||||
\(746\) | −1.22191 | − | 3.35718i | −0.0447375 | − | 0.122915i | ||||
\(747\) | 0.917212 | − | 0.403064i | 0.0335590 | − | 0.0147473i | ||||
\(748\) | 0.920122 | + | 0.246546i | 0.0336430 | + | 0.00901461i | ||||
\(749\) | 20.2359 | − | 35.0497i | 0.739405 | − | 1.28069i | ||||
\(750\) | 17.6830 | − | 7.89375i | 0.645692 | − | 0.288239i | ||||
\(751\) | 6.13894 | + | 34.8157i | 0.224013 | + | 1.27044i | 0.864563 | + | 0.502525i | \(0.167596\pi\) |
−0.640549 | + | 0.767917i | \(0.721293\pi\) | |||||||
\(752\) | −2.06976 | − | 7.72444i | −0.0754763 | − | 0.281681i | ||||
\(753\) | −29.9326 | − | 30.6074i | −1.09080 | − | 1.11539i | ||||
\(754\) | −4.74299 | − | 5.65247i | −0.172729 | − | 0.205851i | ||||
\(755\) | −2.43581 | + | 5.19949i | −0.0886484 | + | 0.189229i | ||||
\(756\) | −25.0382 | − | 10.0733i | −0.910629 | − | 0.366362i | ||||
\(757\) | 1.78772 | + | 20.4337i | 0.0649756 | + | 0.742675i | 0.956886 | + | 0.290463i | \(0.0938093\pi\) |
−0.891911 | + | 0.452212i | \(0.850635\pi\) | |||||||
\(758\) | 4.55898 | − | 3.19223i | 0.165589 | − | 0.115947i | ||||
\(759\) | −17.1226 | − | 10.1418i | −0.621510 | − | 0.368125i | ||||
\(760\) | −0.421491 | + | 9.73768i | −0.0152891 | + | 0.353223i | ||||
\(761\) | − | 47.9556i | − | 1.73839i | −0.494470 | − | 0.869195i | \(-0.664638\pi\) | ||
0.494470 | − | 0.869195i | \(-0.335362\pi\) | |||||||
\(762\) | 23.7201 | − | 1.80909i | 0.859287 | − | 0.0655365i | ||||
\(763\) | 17.5306 | − | 1.53373i | 0.634650 | − | 0.0555247i | ||||
\(764\) | 4.92800 | + | 1.79364i | 0.178289 | + | 0.0648918i | ||||
\(765\) | 2.38726 | + | 2.10309i | 0.0863115 | + | 0.0760374i | ||||
\(766\) | 5.95340 | − | 4.99549i | 0.215105 | − | 0.180494i | ||||
\(767\) | −10.6659 | − | 2.85791i | −0.385122 | − | 0.103193i | ||||
\(768\) | −1.66793 | − | 0.466906i | −0.0601863 | − | 0.0168480i | ||||
\(769\) | −19.2286 | + | 3.39052i | −0.693401 | + | 0.122265i | −0.509232 | − | 0.860629i | \(-0.670070\pi\) |
−0.184169 | + | 0.982895i | \(0.558959\pi\) | |||||||
\(770\) | 13.4137 | − | 19.0845i | 0.483396 | − | 0.687757i | ||||
\(771\) | 15.2171 | − | 8.56089i | 0.548030 | − | 0.308313i | ||||
\(772\) | 5.98144 | − | 22.3230i | 0.215277 | − | 0.803423i | ||||
\(773\) | 0.151669 | + | 0.0132693i | 0.00545516 | + | 0.000477265i | 0.0898830 | − | 0.995952i | \(-0.471351\pi\) |
−0.0844278 | + | 0.996430i | \(0.526906\pi\) | |||||||
\(774\) | −10.1375 | − | 8.89886i | −0.364385 | − | 0.319863i | ||||
\(775\) | 9.50995 | − | 25.8424i | 0.341608 | − | 0.928286i | ||||
\(776\) | −3.23709 | + | 3.85781i | −0.116205 | + | 0.138487i | ||||
\(777\) | −1.99850 | − | 26.2036i | −0.0716959 | − | 0.940047i | ||||
\(778\) | 4.76903 | − | 4.76903i | 0.170978 | − | 0.170978i | ||||
\(779\) | −15.8142 | + | 24.9416i | −0.566602 | + | 0.893624i | ||||
\(780\) | 0.980932 | + | 3.85970i | 0.0351230 | + | 0.138200i | ||||
\(781\) | −3.14574 | + | 17.8404i | −0.112564 | + | 0.638380i | ||||
\(782\) | −2.70274 | + | 0.236459i | −0.0966498 | + | 0.00845576i | ||||
\(783\) | −14.6200 | − | 34.3021i | −0.522475 | − | 1.22586i | ||||
\(784\) | 6.83256 | + | 18.7723i | 0.244020 | + | 0.670440i | ||||
\(785\) | 32.1977 | − | 26.9198i | 1.14918 | − | 0.960807i | ||||
\(786\) | −13.4811 | − | 0.150259i | −0.480855 | − | 0.00535956i | ||||
\(787\) | −0.748837 | + | 0.200650i | −0.0266932 | + | 0.00715241i | −0.272141 | − | 0.962257i | \(-0.587732\pi\) |
0.245448 | + | 0.969410i | \(0.421065\pi\) | |||||||
\(788\) | 5.21784 | − | 7.45185i | 0.185878 | − | 0.265461i | ||||
\(789\) | −46.8412 | − | 17.6425i | −1.66759 | − | 0.628089i | ||||
\(790\) | 8.10570 | − | 13.9821i | 0.288388 | − | 0.497460i | ||||
\(791\) | −44.1472 | + | 25.4884i | −1.56969 | + | 0.906262i | ||||
\(792\) | 2.42415 | + | 5.51640i | 0.0861384 | + | 0.196017i | ||||
\(793\) | 3.27547 | − | 7.02427i | 0.116315 | − | 0.249439i | ||||
\(794\) | −18.8345 | − | 6.85522i | −0.668413 | − | 0.243282i | ||||
\(795\) | −5.00499 | + | 10.3809i | −0.177509 | + | 0.368172i | ||||
\(796\) | −3.60717 | + | 20.4573i | −0.127853 | + | 0.725089i | ||||
\(797\) | −13.1239 | + | 13.1239i | −0.464871 | + | 0.464871i | −0.900248 | − | 0.435377i | \(-0.856615\pi\) |
0.435377 | + | 0.900248i | \(0.356615\pi\) | |||||||
\(798\) | 1.35806 | + | 39.1899i | 0.0480749 | + | 1.38731i | ||||
\(799\) | 3.79271i | 0.134177i | ||||||||
\(800\) | 4.10592 | − | 2.85332i | 0.145166 | − | 0.100880i | ||||
\(801\) | 19.7151 | + | 3.93129i | 0.696597 | + | 0.138905i | ||||
\(802\) | 0.472902 | + | 1.01414i | 0.0166987 | + | 0.0358106i | ||||
\(803\) | −5.67296 | − | 2.64535i | −0.200194 | − | 0.0933522i | ||||
\(804\) | 23.2519 | − | 3.83324i | 0.820031 | − | 0.135188i | ||||
\(805\) | −17.3093 | + | 64.1435i | −0.610074 | + | 2.26076i | ||||
\(806\) | 4.90424 | + | 2.83146i | 0.172745 | + | 0.0997341i | ||||
\(807\) | 33.7407 | − | 15.2781i | 1.18773 | − | 0.537813i | ||||
\(808\) | 3.86125 | + | 2.70368i | 0.135838 | + | 0.0951151i | ||||
\(809\) | 0.639555 | − | 1.10774i | 0.0224856 | − | 0.0389461i | −0.854564 | − | 0.519347i | \(-0.826175\pi\) |
0.877049 | + | 0.480401i | \(0.159509\pi\) | |||||||
\(810\) | −0.932597 | + | 20.1030i | −0.0327681 | + | 0.706347i | ||||
\(811\) | −35.9259 | + | 30.1454i | −1.26153 | + | 1.05855i | −0.266011 | + | 0.963970i | \(0.585706\pi\) |
−0.995517 | + | 0.0945778i | \(0.969850\pi\) | |||||||
\(812\) | −15.7518 | + | 33.7799i | −0.552780 | + | 1.18544i | ||||
\(813\) | 3.84438 | − | 38.9380i | 0.134828 | − | 1.36562i | ||||
\(814\) | −3.77141 | + | 4.49459i | −0.132188 | + | 0.157535i | ||||
\(815\) | 19.6948 | + | 3.50880i | 0.689878 | + | 0.122908i | ||||
\(816\) | 0.706785 | + | 0.418634i | 0.0247424 | + | 0.0146551i | ||||
\(817\) | −5.85341 | + | 18.7049i | −0.204785 | + | 0.654401i | ||||
\(818\) | −20.3742 | − | 20.3742i | −0.712367 | − | 0.712367i | ||||
\(819\) | 5.14292 | + | 15.1742i | 0.179708 | + | 0.530230i | ||||
\(820\) | 15.0945 | − | 1.29359i | 0.527124 | − | 0.0451742i | ||||
\(821\) | −3.32613 | + | 9.13847i | −0.116083 | + | 0.318935i | −0.984104 | − | 0.177592i | \(-0.943169\pi\) |
0.868021 | + | 0.496527i | \(0.165392\pi\) | |||||||
\(822\) | −10.4516 | + | 7.14602i | −0.364541 | + | 0.249246i | ||||
\(823\) | 2.85713 | − | 32.6572i | 0.0995934 | − | 1.13836i | −0.767785 | − | 0.640708i | \(-0.778641\pi\) |
0.867378 | − | 0.497650i | \(-0.165803\pi\) | |||||||
\(824\) | −3.66169 | − | 6.34223i | −0.127561 | − | 0.220942i | ||||
\(825\) | −16.7336 | − | 4.74841i | −0.582588 | − | 0.165318i | ||||
\(826\) | 9.68547 | + | 54.9290i | 0.337001 | + | 1.91123i | ||||
\(827\) | −16.7358 | − | 11.7185i | −0.581961 | − | 0.407494i | 0.245188 | − | 0.969475i | \(-0.421150\pi\) |
−0.827150 | + | 0.561982i | \(0.810039\pi\) | |||||||
\(828\) | −11.8615 | − | 12.4025i | −0.412216 | − | 0.431015i | ||||
\(829\) | 31.4339 | − | 18.1484i | 1.09174 | − | 0.630319i | 0.157704 | − | 0.987486i | \(-0.449591\pi\) |
0.934040 | + | 0.357167i | \(0.116257\pi\) | |||||||
\(830\) | −0.0664045 | + | 0.743789i | −0.00230493 | + | 0.0258173i | ||||
\(831\) | −6.58321 | + | 35.0465i | −0.228369 | + | 1.21575i | ||||
\(832\) | 0.434558 | + | 0.931913i | 0.0150656 | + | 0.0323083i | ||||
\(833\) | −0.825761 | − | 9.43849i | −0.0286109 | − | 0.327024i | ||||
\(834\) | 14.8234 | + | 12.7225i | 0.513294 | + | 0.440546i | ||||
\(835\) | −0.0740572 | + | 41.6977i | −0.00256285 | + | 1.44301i | ||||
\(836\) | 5.90083 | − | 6.46751i | 0.204084 | − | 0.223683i | ||||
\(837\) | 19.5475 | + | 20.9004i | 0.675659 | + | 0.722424i | ||||
\(838\) | −1.75732 | − | 2.50972i | −0.0607057 | − | 0.0866967i | ||||
\(839\) | −8.98348 | − | 7.53804i | −0.310144 | − | 0.260242i | 0.474407 | − | 0.880305i | \(-0.342662\pi\) |
−0.784552 | + | 0.620063i | \(0.787107\pi\) | |||||||
\(840\) | 15.5756 | − | 12.7302i | 0.537409 | − | 0.439232i | ||||
\(841\) | −21.1389 | + | 7.69393i | −0.728928 | + | 0.265308i | ||||
\(842\) | 1.94037 | − | 22.1785i | 0.0668694 | − | 0.764321i | ||||
\(843\) | −7.20950 | − | 7.37202i | −0.248308 | − | 0.253906i | ||||
\(844\) | 11.2674 | + | 6.50526i | 0.387841 | + | 0.223920i | ||||
\(845\) | −15.3560 | + | 21.8480i | −0.528263 | + | 0.751593i | ||||
\(846\) | −18.7172 | + | 15.0075i | −0.643509 | + | 0.515969i | ||||
\(847\) | 34.9476 | − | 9.36417i | 1.20081 | − | 0.321757i | ||||
\(848\) | −0.770142 | + | 2.87421i | −0.0264468 | + | 0.0987007i | ||||
\(849\) | −17.1516 | + | 2.82756i | −0.588640 | + | 0.0970415i | ||||
\(850\) | −2.23121 | + | 0.803131i | −0.0765299 | + | 0.0275472i | ||||
\(851\) | 5.71540 | − | 15.7029i | 0.195921 | − | 0.538290i | ||||
\(852\) | −6.75957 | + | 14.0840i | −0.231579 | + | 0.482509i | ||||
\(853\) | −21.4226 | − | 30.5946i | −0.733495 | − | 1.04754i | −0.996569 | − | 0.0827634i | \(-0.973625\pi\) |
0.263075 | − | 0.964776i | \(-0.415263\pi\) | |||||||
\(854\) | −39.1493 | −1.33966 | ||||||||
\(855\) | 27.2533 | − | 10.5951i | 0.932044 | − | 0.362346i | ||||
\(856\) | −7.79212 | −0.266329 | ||||||||
\(857\) | 14.7113 | + | 21.0099i | 0.502529 | + | 0.717686i | 0.987635 | − | 0.156770i | \(-0.0501080\pi\) |
−0.485106 | + | 0.874455i | \(0.661219\pi\) | |||||||
\(858\) | 1.54780 | − | 3.22493i | 0.0528410 | − | 0.110097i | ||||
\(859\) | −17.2424 | + | 47.3730i | −0.588302 | + | 1.61635i | 0.185305 | + | 0.982681i | \(0.440673\pi\) |
−0.773607 | + | 0.633665i | \(0.781550\pi\) | |||||||
\(860\) | 9.45400 | − | 3.42197i | 0.322379 | − | 0.116688i | ||||
\(861\) | 60.1394 | − | 9.91440i | 2.04954 | − | 0.337882i | ||||
\(862\) | 1.57829 | − | 5.89025i | 0.0537567 | − | 0.200623i | ||||
\(863\) | 5.05615 | − | 1.35479i | 0.172113 | − | 0.0461176i | −0.171733 | − | 0.985143i | \(-0.554937\pi\) |
0.343846 | + | 0.939026i | \(0.388270\pi\) | |||||||
\(864\) | 0.730730 | + | 5.14451i | 0.0248599 | + | 0.175020i | ||||
\(865\) | −7.91443 | − | 45.3558i | −0.269099 | − | 1.54214i | ||||
\(866\) | 2.69813 | + | 1.55777i | 0.0916864 | + | 0.0529351i | ||||
\(867\) | 20.3149 | + | 20.7729i | 0.689931 | + | 0.705484i | ||||
\(868\) | 2.49307 | − | 28.4960i | 0.0846204 | − | 0.967216i | ||||
\(869\) | −13.6415 | + | 4.96511i | −0.462757 | + | 0.168430i | ||||
\(870\) | 27.6533 | + | 2.77984i | 0.937535 | + | 0.0942453i | ||||
\(871\) | −10.7170 | − | 8.99264i | −0.363132 | − | 0.304704i | ||||
\(872\) | −1.94333 | − | 2.77536i | −0.0658094 | − | 0.0939855i | ||||
\(873\) | 14.5025 | + | 4.23455i | 0.490834 | + | 0.143318i | ||||
\(874\) | −9.49264 | + | 23.0575i | −0.321093 | + | 0.779931i | ||||
\(875\) | −0.309404 | + | 58.0693i | −0.0104598 | + | 1.96310i | ||||
\(876\) | −4.09606 | − | 3.51553i | −0.138393 | − | 0.118779i | ||||
\(877\) | 0.123740 | + | 1.41436i | 0.00417841 | + | 0.0477595i | 0.997998 | − | 0.0632510i | \(-0.0201469\pi\) |
−0.993819 | + | 0.111010i | \(0.964591\pi\) | |||||||
\(878\) | 4.50444 | + | 9.65980i | 0.152017 | + | 0.326002i | ||||
\(879\) | 9.58423 | − | 51.0228i | 0.323268 | − | 1.72096i | ||||
\(880\) | −4.47338 | − | 0.399377i | −0.150798 | − | 0.0134630i | ||||
\(881\) | 31.0031 | − | 17.8997i | 1.04452 | − | 0.603055i | 0.123411 | − | 0.992356i | \(-0.460617\pi\) |
0.921111 | + | 0.389301i | \(0.127283\pi\) | |||||||
\(882\) | 43.3118 | − | 41.4227i | 1.45838 | − | 1.39477i | ||||
\(883\) | 8.17833 | + | 5.72653i | 0.275223 | + | 0.192713i | 0.703036 | − | 0.711154i | \(-0.251827\pi\) |
−0.427813 | + | 0.903867i | \(0.640716\pi\) | |||||||
\(884\) | −0.0846830 | − | 0.480261i | −0.00284820 | − | 0.0161529i | ||||
\(885\) | 36.2845 | − | 20.3283i | 1.21969 | − | 0.683329i | ||||
\(886\) | 1.85685 | + | 3.21615i | 0.0623820 | + | 0.108049i | ||||
\(887\) | 0.573561 | − | 6.55584i | 0.0192583 | − | 0.220123i | −0.980467 | − | 0.196684i | \(-0.936983\pi\) |
0.999725 | − | 0.0234395i | \(-0.00746172\pi\) | |||||||
\(888\) | −4.17673 | + | 2.85573i | −0.140162 | + | 0.0958322i | ||||
\(889\) | −24.3985 | + | 67.0344i | −0.818301 | + | 2.24826i | ||||
\(890\) | −9.65192 | + | 11.4613i | −0.323533 | + | 0.384184i | ||||
\(891\) | 12.2250 | − | 13.3159i | 0.409554 | − | 0.446099i | ||||
\(892\) | −18.2652 | − | 18.2652i | −0.611563 | − | 0.611563i | ||||
\(893\) | 30.9538 | + | 16.0290i | 1.03583 | + | 0.536389i | ||||
\(894\) | 5.39286 | + | 3.19423i | 0.180364 | + | 0.106831i | ||||
\(895\) | −12.3437 | − | 17.6955i | −0.412605 | − | 0.591495i | ||||
\(896\) | 3.33860 | − | 3.97879i | 0.111535 | − | 0.132922i | ||||
\(897\) | −1.00101 | + | 10.1388i | −0.0334229 | + | 0.338525i | ||||
\(898\) | 8.60404 | − | 18.4514i | 0.287121 | − | 0.615732i | ||||
\(899\) | 30.2747 | − | 25.4035i | 1.00972 | − | 0.847255i | ||||
\(900\) | −12.7922 | − | 7.83317i | −0.426408 | − | 0.261106i | ||||
\(901\) | 0.705620 | − | 1.22217i | 0.0235076 | − | 0.0407164i | ||||
\(902\) | −11.1471 | − | 7.80530i | −0.371159 | − | 0.259888i | ||||
\(903\) | 36.8488 | − | 16.6854i | 1.22625 | − | 0.555257i | ||||
\(904\) | 8.49973 | + | 4.90732i | 0.282697 | + | 0.163215i | ||||
\(905\) | 3.44702 | + | 0.930192i | 0.114583 | + | 0.0309206i | ||||
\(906\) | 4.38832 | − | 0.723446i | 0.145792 | − | 0.0240349i | ||||
\(907\) | 18.4600 | + | 8.60802i | 0.612953 | + | 0.285825i | 0.704198 | − | 0.710004i | \(-0.251307\pi\) |
−0.0912447 | + | 0.995828i | \(0.529085\pi\) | |||||||
\(908\) | −8.53299 | − | 18.2991i | −0.283177 | − | 0.607276i | ||||
\(909\) | 2.76538 | − | 13.8681i | 0.0917219 | − | 0.459977i | ||||
\(910\) | −11.7570 | − | 2.09461i | −0.389741 | − | 0.0694358i | ||||
\(911\) | 20.1190i | 0.666572i | 0.942826 | + | 0.333286i | \(0.108157\pi\) | ||||
−0.942826 | + | 0.333286i | \(0.891843\pi\) | |||||||
\(912\) | 6.40369 | − | 3.99909i | 0.212047 | − | 0.132423i | ||||
\(913\) | 0.474295 | − | 0.474295i | 0.0156969 | − | 0.0156969i | ||||
\(914\) | 0.745172 | − | 4.22608i | 0.0246481 | − | 0.139786i | ||||
\(915\) | 9.62915 | + | 27.5587i | 0.318330 | + | 0.911064i | ||||
\(916\) | −20.2584 | − | 7.37347i | −0.669358 | − | 0.243626i | ||||
\(917\) | 17.0859 | − | 36.6408i | 0.564226 | − | 1.20999i | ||||
\(918\) | 0.296736 | − | 2.44645i | 0.00979375 | − | 0.0807450i | ||||
\(919\) | −7.70807 | + | 4.45025i | −0.254266 | + | 0.146800i | −0.621716 | − | 0.783243i | \(-0.713564\pi\) |
0.367450 | + | 0.930043i | \(0.380231\pi\) | |||||||
\(920\) | 12.3614 | − | 3.28871i | 0.407544 | − | 0.108426i | ||||
\(921\) | −30.1545 | − | 11.3575i | −0.993623 | − | 0.374242i | ||||
\(922\) | −11.5906 | + | 16.5531i | −0.381717 | + | 0.545148i | ||||
\(923\) | 8.95822 | − | 2.40035i | 0.294863 | − | 0.0790084i | ||||
\(924\) | −18.0678 | − | 0.201382i | −0.594388 | − | 0.00662498i | ||||
\(925\) | 1.32467 | − | 14.5458i | 0.0435550 | − | 0.478263i | ||||
\(926\) | 6.02990 | + | 16.5670i | 0.198155 | + | 0.544426i | ||||
\(927\) | −12.9996 | + | 17.7115i | −0.426961 | + | 0.581723i | ||||
\(928\) | 7.14873 | − | 0.625433i | 0.234669 | − | 0.0205308i | ||||
\(929\) | −5.22812 | + | 29.6502i | −0.171529 | + | 0.972790i | 0.770545 | + | 0.637386i | \(0.219984\pi\) |
−0.942074 | + | 0.335405i | \(0.891127\pi\) | |||||||
\(930\) | −20.6726 | + | 5.25389i | −0.677883 | + | 0.172282i | ||||
\(931\) | −80.5211 | − | 33.1501i | −2.63897 | − | 1.08645i | ||||
\(932\) | −2.14791 | + | 2.14791i | −0.0703572 | + | 0.0703572i | ||||
\(933\) | 4.29757 | + | 56.3479i | 0.140696 | + | 1.84475i | ||||
\(934\) | −20.8518 | + | 24.8502i | −0.682290 | + | 0.813122i | ||||
\(935\) | 2.00028 | + | 0.732068i | 0.0654161 | + | 0.0239412i | ||||
\(936\) | 2.03502 | − | 2.31828i | 0.0665167 | − | 0.0757753i | ||||
\(937\) | −31.2736 | − | 2.73609i | −1.02166 | − | 0.0893840i | −0.436007 | − | 0.899943i | \(-0.643608\pi\) |
−0.585657 | + | 0.810559i | \(0.699163\pi\) | |||||||
\(938\) | −18.2900 | + | 68.2592i | −0.597190 | + | 2.22874i | ||||
\(939\) | 25.1363 | − | 14.1413i | 0.820292 | − | 0.461483i | ||||
\(940\) | −3.07384 | − | 17.6155i | −0.100258 | − | 0.574554i | ||||
\(941\) | −31.6445 | + | 5.57978i | −1.03158 | + | 0.181896i | −0.663717 | − | 0.747984i | \(-0.731022\pi\) |
−0.367865 | + | 0.929879i | \(0.619911\pi\) | |||||||
\(942\) | −31.3053 | − | 8.76333i | −1.01998 | − | 0.285525i | ||||
\(943\) | 37.4370 | + | 10.0312i | 1.21912 | + | 0.326661i | ||||
\(944\) | 8.22635 | − | 6.90273i | 0.267745 | − | 0.224665i | ||||
\(945\) | −53.7623 | − | 27.4139i | −1.74889 | − | 0.891776i | ||||
\(946\) | −8.48644 | − | 3.08881i | −0.275918 | − | 0.100426i | ||||
\(947\) | 9.25565 | − | 0.809764i | 0.300768 | − | 0.0263138i | 0.0642271 | − | 0.997935i | \(-0.479542\pi\) |
0.236541 | + | 0.971622i | \(0.423986\pi\) | |||||||
\(948\) | −12.4826 | + | 0.952024i | −0.405414 | + | 0.0309203i | ||||
\(949\) | 3.20449i | 0.104022i | ||||||||
\(950\) | −2.87501 | + | 21.6040i | −0.0932776 | + | 0.700927i | ||||
\(951\) | −23.5788 | − | 13.9659i | −0.764595 | − | 0.452875i | ||||
\(952\) | −2.01785 | + | 1.41291i | −0.0653988 | + | 0.0457928i | ||||
\(953\) | −0.264673 | − | 3.02523i | −0.00857361 | − | 0.0979968i | 0.990702 | − | 0.136049i | \(-0.0434403\pi\) |
−0.999276 | + | 0.0380519i | \(0.987885\pi\) | |||||||
\(954\) | 8.82354 | − | 1.35379i | 0.285673 | − | 0.0438306i | ||||
\(955\) | 10.6190 | + | 4.97471i | 0.343624 | + | 0.160978i | ||||
\(956\) | −9.57181 | − | 11.4072i | −0.309574 | − | 0.368936i | ||||
\(957\) | −17.4546 | − | 17.8481i | −0.564228 | − | 0.576947i | ||||
\(958\) | −9.55579 | − | 35.6627i | −0.308733 | − | 1.15221i | ||||
\(959\) | −6.59288 | − | 37.3901i | −0.212895 | − | 1.20739i | ||||
\(960\) | −3.62199 | − | 1.37155i | −0.116899 | − | 0.0442667i | ||||
\(961\) | 0.334622 | − | 0.579583i | 0.0107943 | − | 0.0186962i | ||||
\(962\) | 2.90138 | + | 0.777423i | 0.0935443 | + | 0.0250651i | ||||
\(963\) | 9.40461 | + | 21.4011i | 0.303059 | + | 0.689642i | ||||
\(964\) | 3.21991 | + | 8.84663i | 0.103706 | + | 0.284931i | ||||
\(965\) | 17.7607 | − | 48.5287i | 0.571736 | − | 1.56219i | ||||
\(966\) | 48.5522 | − | 17.0612i | 1.56214 | − | 0.548934i | ||||
\(967\) | −48.4591 | + | 33.9314i | −1.55834 | + | 1.09116i | −0.602161 | + | 0.798374i | \(0.705694\pi\) |
−0.956178 | + | 0.292787i | \(0.905417\pi\) | |||||||
\(968\) | −4.92562 | − | 4.92562i | −0.158315 | − | 0.158315i | ||||
\(969\) | −3.42449 | + | 1.04597i | −0.110010 | + | 0.0336014i | ||||
\(970\) | −7.97677 | + | 7.94848i | −0.256119 | + | 0.255210i | ||||
\(971\) | 21.2821 | + | 3.75260i | 0.682974 | + | 0.120427i | 0.504361 | − | 0.863493i | \(-0.331728\pi\) |
0.178613 | + | 0.983919i | \(0.442839\pi\) | |||||||
\(972\) | 13.2475 | − | 8.21606i | 0.424914 | − | 0.263530i | ||||
\(973\) | −53.0903 | + | 24.7564i | −1.70200 | + | 0.793654i | ||||
\(974\) | −28.5219 | + | 10.3811i | −0.913900 | + | 0.332632i | ||||
\(975\) | 1.41727 | + | 8.79142i | 0.0453889 | + | 0.281551i | ||||
\(976\) | 3.76874 | + | 6.52765i | 0.120634 | + | 0.208945i | ||||
\(977\) | −7.18508 | − | 26.8151i | −0.229871 | − | 0.857890i | −0.980394 | − | 0.197046i | \(-0.936865\pi\) |
0.750523 | − | 0.660844i | \(-0.229802\pi\) | |||||||
\(978\) | −6.39185 | − | 14.1160i | −0.204389 | − | 0.451380i | ||||
\(979\) | 13.2547 | − | 2.33716i | 0.423622 | − | 0.0746960i | ||||
\(980\) | 11.4848 | + | 43.1685i | 0.366869 | + | 1.37897i | ||||
\(981\) | −5.27707 | + | 8.68705i | −0.168484 | + | 0.277356i | ||||
\(982\) | −3.77970 | − | 0.330681i | −0.120615 | − | 0.0105525i | ||||
\(983\) | 16.7836 | + | 7.82631i | 0.535313 | + | 0.249621i | 0.671425 | − | 0.741073i | \(-0.265683\pi\) |
−0.136111 | + | 0.990694i | \(0.543461\pi\) | |||||||
\(984\) | −7.44248 | − | 9.07307i | −0.237257 | − | 0.289239i | ||||
\(985\) | 13.1030 | − | 15.5593i | 0.417495 | − | 0.495760i | ||||
\(986\) | −3.35168 | − | 0.590992i | −0.106739 | − | 0.0188210i | ||||
\(987\) | −17.8443 | − | 69.6937i | −0.567989 | − | 2.21837i | ||||
\(988\) | −4.27749 | − | 1.33858i | −0.136085 | − | 0.0425858i | ||||
\(989\) | 25.7216 | 0.817900 | ||||||||
\(990\) | 4.30220 | + | 12.7682i | 0.136733 | + | 0.405800i | ||||
\(991\) | 25.4228 | + | 21.3322i | 0.807580 | + | 0.677640i | 0.950029 | − | 0.312162i | \(-0.101053\pi\) |
−0.142449 | + | 0.989802i | \(0.545498\pi\) | |||||||
\(992\) | −4.99134 | + | 2.32750i | −0.158475 | + | 0.0738982i | ||||
\(993\) | −27.7004 | − | 40.5139i | −0.879045 | − | 1.28567i | ||||
\(994\) | −30.1123 | − | 35.8864i | −0.955103 | − | 1.13825i | ||||
\(995\) | −12.1017 | + | 44.8454i | −0.383649 | + | 1.42169i | ||||
\(996\) | 0.504126 | − | 0.283613i | 0.0159738 | − | 0.00898663i | ||||
\(997\) | 13.8152 | − | 19.7302i | 0.437532 | − | 0.624860i | −0.538464 | − | 0.842648i | \(-0.680995\pi\) |
0.975996 | + | 0.217788i | \(0.0698842\pi\) | |||||||
\(998\) | 6.08316 | − | 8.68765i | 0.192559 | − | 0.275003i | ||||
\(999\) | 12.8843 | + | 8.02471i | 0.407643 | + | 0.253891i |
(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 | 570.2.bi.a.17.8 | ✓ | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.17.26 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.473.4 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.473.37 | yes | 480 | |
19.9 | even | 9 | inner | 570.2.bi.a.47.37 | yes | 480 | |
57.47 | odd | 18 | inner | 570.2.bi.a.47.4 | yes | 480 | |
95.28 | odd | 36 | inner | 570.2.bi.a.503.26 | yes | 480 | |
285.218 | even | 36 | inner | 570.2.bi.a.503.8 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.8 | ✓ | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.17.26 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.47.4 | yes | 480 | 57.47 | odd | 18 | inner | |
570.2.bi.a.47.37 | yes | 480 | 19.9 | even | 9 | inner | |
570.2.bi.a.473.4 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.473.37 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.503.8 | yes | 480 | 285.218 | even | 36 | inner | |
570.2.bi.a.503.26 | yes | 480 | 95.28 | odd | 36 | inner |