Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(87,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.87");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.m (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 87.11 | ||
Character | \(\chi\) | \(=\) | 731.87 |
Dual form | 731.2.m.c.689.11 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.624813 | − | 0.624813i | −0.441809 | − | 0.441809i | 0.450810 | − | 0.892620i | \(-0.351135\pi\) |
−0.892620 | + | 0.450810i | \(0.851135\pi\) | |||||||
\(3\) | 2.88236 | − | 1.19391i | 1.66413 | − | 0.689306i | 0.665749 | − | 0.746175i | \(-0.268112\pi\) |
0.998382 | + | 0.0568699i | \(0.0181120\pi\) | |||||||
\(4\) | − | 1.21922i | − | 0.609609i | ||||||
\(5\) | −1.21824 | − | 2.94109i | −0.544814 | − | 1.31530i | −0.921292 | − | 0.388872i | \(-0.872865\pi\) |
0.376478 | − | 0.926426i | \(-0.377135\pi\) | |||||||
\(6\) | −2.54691 | − | 1.05496i | −1.03977 | − | 0.430687i | ||||
\(7\) | 0.920964 | − | 2.22340i | 0.348092 | − | 0.840367i | −0.648754 | − | 0.760998i | \(-0.724710\pi\) |
0.996845 | − | 0.0793689i | \(-0.0252905\pi\) | |||||||
\(8\) | −2.01141 | + | 2.01141i | −0.711140 | + | 0.711140i | ||||
\(9\) | 4.76125 | − | 4.76125i | 1.58708 | − | 1.58708i | ||||
\(10\) | −1.07646 | + | 2.59880i | −0.340407 | + | 0.821814i | ||||
\(11\) | 0.310479 | + | 0.128605i | 0.0936131 | + | 0.0387758i | 0.428999 | − | 0.903305i | \(-0.358867\pi\) |
−0.335385 | + | 0.942081i | \(0.608867\pi\) | |||||||
\(12\) | −1.45564 | − | 3.51423i | −0.420207 | − | 1.01447i | ||||
\(13\) | 5.45402i | 1.51267i | 0.654183 | + | 0.756336i | \(0.273013\pi\) | ||||
−0.654183 | + | 0.756336i | \(0.726987\pi\) | |||||||
\(14\) | −1.96464 | + | 0.813780i | −0.525072 | + | 0.217492i | ||||
\(15\) | −7.02282 | − | 7.02282i | −1.81328 | − | 1.81328i | ||||
\(16\) | 0.0750704 | 0.0187676 | ||||||||
\(17\) | 3.54745 | − | 2.10134i | 0.860382 | − | 0.509649i | ||||
\(18\) | −5.94978 | −1.40238 | ||||||||
\(19\) | 2.89789 | + | 2.89789i | 0.664822 | + | 0.664822i | 0.956513 | − | 0.291691i | \(-0.0942179\pi\) |
−0.291691 | + | 0.956513i | \(0.594218\pi\) | |||||||
\(20\) | −3.58584 | + | 1.48530i | −0.801817 | + | 0.332124i | ||||
\(21\) | − | 7.50820i | − | 1.63842i | ||||||
\(22\) | −0.113638 | − | 0.274345i | −0.0242276 | − | 0.0584906i | ||||
\(23\) | 6.21903 | + | 2.57601i | 1.29676 | + | 0.537135i | 0.920993 | − | 0.389580i | \(-0.127380\pi\) |
0.375765 | + | 0.926715i | \(0.377380\pi\) | |||||||
\(24\) | −3.39616 | + | 8.19905i | −0.693238 | + | 1.67362i | ||||
\(25\) | −3.63039 | + | 3.63039i | −0.726077 | + | 0.726077i | ||||
\(26\) | 3.40774 | − | 3.40774i | 0.668313 | − | 0.668313i | ||||
\(27\) | 4.45738 | − | 10.7611i | 0.857823 | − | 2.07097i | ||||
\(28\) | −2.71081 | − | 1.12286i | −0.512296 | − | 0.212200i | ||||
\(29\) | 1.31012 | + | 3.16292i | 0.243284 | + | 0.587339i | 0.997605 | − | 0.0691665i | \(-0.0220340\pi\) |
−0.754321 | + | 0.656505i | \(0.772034\pi\) | |||||||
\(30\) | 8.77589i | 1.60225i | ||||||||
\(31\) | −8.18548 | + | 3.39054i | −1.47016 | + | 0.608958i | −0.966895 | − | 0.255176i | \(-0.917867\pi\) |
−0.503261 | + | 0.864134i | \(0.667867\pi\) | |||||||
\(32\) | 3.97591 | + | 3.97591i | 0.702849 | + | 0.702849i | ||||
\(33\) | 1.04846 | 0.182513 | ||||||||
\(34\) | −3.52943 | − | 0.903547i | −0.605293 | − | 0.154957i | ||||
\(35\) | −7.66119 | −1.29498 | ||||||||
\(36\) | −5.80500 | − | 5.80500i | −0.967500 | − | 0.967500i | ||||
\(37\) | −8.11528 | + | 3.36146i | −1.33414 | + | 0.552620i | −0.931834 | − | 0.362884i | \(-0.881792\pi\) |
−0.402309 | + | 0.915504i | \(0.631792\pi\) | |||||||
\(38\) | − | 3.62128i | − | 0.587449i | ||||||
\(39\) | 6.51162 | + | 15.7204i | 1.04269 | + | 2.51728i | ||||
\(40\) | 8.36612 | + | 3.46536i | 1.32280 | + | 0.547922i | ||||
\(41\) | 3.16704 | − | 7.64591i | 0.494608 | − | 1.19409i | −0.457742 | − | 0.889085i | \(-0.651342\pi\) |
0.952351 | − | 0.305005i | \(-0.0986582\pi\) | |||||||
\(42\) | −4.69122 | + | 4.69122i | −0.723870 | + | 0.723870i | ||||
\(43\) | −0.707107 | + | 0.707107i | −0.107833 | + | 0.107833i | ||||
\(44\) | 0.156797 | − | 0.378542i | 0.0236381 | − | 0.0570674i | ||||
\(45\) | −19.8036 | − | 8.20293i | −2.95215 | − | 1.22282i | ||||
\(46\) | −2.27621 | − | 5.49525i | −0.335609 | − | 0.810231i | ||||
\(47\) | − | 4.38757i | − | 0.639993i | −0.947419 | − | 0.319997i | \(-0.896318\pi\) | ||
0.947419 | − | 0.319997i | \(-0.103682\pi\) | |||||||
\(48\) | 0.216380 | − | 0.0896274i | 0.0312317 | − | 0.0129366i | ||||
\(49\) | 0.854402 | + | 0.854402i | 0.122057 | + | 0.122057i | ||||
\(50\) | 4.53662 | 0.641575 | ||||||||
\(51\) | 7.71620 | − | 10.2922i | 1.08048 | − | 1.44119i | ||||
\(52\) | 6.64964 | 0.922139 | ||||||||
\(53\) | 6.74607 | + | 6.74607i | 0.926644 | + | 0.926644i | 0.997487 | − | 0.0708435i | \(-0.0225691\pi\) |
−0.0708435 | + | 0.997487i | \(0.522569\pi\) | |||||||
\(54\) | −9.50868 | + | 3.93862i | −1.29397 | + | 0.535979i | ||||
\(55\) | − | 1.06982i | − | 0.144255i | ||||||
\(56\) | 2.61974 | + | 6.32460i | 0.350077 | + | 0.845161i | ||||
\(57\) | 11.8126 | + | 4.89293i | 1.56462 | + | 0.648085i | ||||
\(58\) | 1.15765 | − | 2.79481i | 0.152007 | − | 0.366977i | ||||
\(59\) | −5.55757 | + | 5.55757i | −0.723534 | + | 0.723534i | −0.969323 | − | 0.245789i | \(-0.920953\pi\) |
0.245789 | + | 0.969323i | \(0.420953\pi\) | |||||||
\(60\) | −8.56235 | + | 8.56235i | −1.10539 | + | 1.10539i | ||||
\(61\) | −3.77139 | + | 9.10493i | −0.482876 | + | 1.16577i | 0.475360 | + | 0.879791i | \(0.342318\pi\) |
−0.958237 | + | 0.285976i | \(0.907682\pi\) | |||||||
\(62\) | 7.23284 | + | 2.99594i | 0.918572 | + | 0.380485i | ||||
\(63\) | −6.20124 | − | 14.9711i | −0.781282 | − | 1.88618i | ||||
\(64\) | − | 5.11854i | − | 0.639818i | ||||||
\(65\) | 16.0408 | − | 6.64431i | 1.98961 | − | 0.824125i | ||||
\(66\) | −0.655089 | − | 0.655089i | −0.0806358 | − | 0.0806358i | ||||
\(67\) | −1.86246 | −0.227536 | −0.113768 | − | 0.993507i | \(-0.536292\pi\) | ||||
−0.113768 | + | 0.993507i | \(0.536292\pi\) | |||||||
\(68\) | −2.56199 | − | 4.32511i | −0.310687 | − | 0.524497i | ||||
\(69\) | 21.0010 | 2.52822 | ||||||||
\(70\) | 4.78681 | + | 4.78681i | 0.572133 | + | 0.572133i | ||||
\(71\) | 7.01102 | − | 2.90406i | 0.832055 | − | 0.344648i | 0.0743389 | − | 0.997233i | \(-0.476315\pi\) |
0.757716 | + | 0.652585i | \(0.226315\pi\) | |||||||
\(72\) | 19.1536i | 2.25728i | ||||||||
\(73\) | −3.81569 | − | 9.21189i | −0.446593 | − | 1.07817i | −0.973590 | − | 0.228303i | \(-0.926682\pi\) |
0.526997 | − | 0.849867i | \(-0.323318\pi\) | |||||||
\(74\) | 7.17081 | + | 2.97025i | 0.833590 | + | 0.345284i | ||||
\(75\) | −6.12972 | + | 14.7984i | −0.707799 | + | 1.70878i | ||||
\(76\) | 3.53316 | − | 3.53316i | 0.405281 | − | 0.405281i | ||||
\(77\) | 0.571880 | − | 0.571880i | 0.0651718 | − | 0.0651718i | ||||
\(78\) | 5.75379 | − | 13.8909i | 0.651488 | − | 1.57283i | ||||
\(79\) | −0.280713 | − | 0.116275i | −0.0315827 | − | 0.0130820i | 0.366836 | − | 0.930286i | \(-0.380441\pi\) |
−0.398419 | + | 0.917204i | \(0.630441\pi\) | |||||||
\(80\) | −0.0914538 | − | 0.220789i | −0.0102248 | − | 0.0246850i | ||||
\(81\) | − | 16.1387i | − | 1.79319i | ||||||
\(82\) | −6.75606 | + | 2.79845i | −0.746083 | + | 0.309037i | ||||
\(83\) | −7.70045 | − | 7.70045i | −0.845235 | − | 0.845235i | 0.144299 | − | 0.989534i | \(-0.453907\pi\) |
−0.989534 | + | 0.144299i | \(0.953907\pi\) | |||||||
\(84\) | −9.15413 | −0.998797 | ||||||||
\(85\) | −10.5019 | − | 7.87344i | −1.13909 | − | 0.853994i | ||||
\(86\) | 0.883619 | 0.0952830 | ||||||||
\(87\) | 7.55249 | + | 7.55249i | 0.809712 | + | 0.809712i | ||||
\(88\) | −0.883178 | + | 0.365824i | −0.0941470 | + | 0.0389970i | ||||
\(89\) | 1.50936i | 0.159992i | 0.996795 | + | 0.0799962i | \(0.0254908\pi\) | ||||
−0.996795 | + | 0.0799962i | \(0.974509\pi\) | |||||||
\(90\) | 7.24826 | + | 17.4988i | 0.764034 | + | 1.84454i | ||||
\(91\) | 12.1265 | + | 5.02295i | 1.27120 | + | 0.526548i | ||||
\(92\) | 3.14072 | − | 7.58236i | 0.327442 | − | 0.790515i | ||||
\(93\) | −19.5455 | + | 19.5455i | −2.02677 | + | 2.02677i | ||||
\(94\) | −2.74141 | + | 2.74141i | −0.282755 | + | 0.282755i | ||||
\(95\) | 4.99264 | − | 12.0533i | 0.512234 | − | 1.23664i | ||||
\(96\) | 16.2069 | + | 6.71312i | 1.65411 | + | 0.685155i | ||||
\(97\) | −3.59196 | − | 8.67175i | −0.364708 | − | 0.880483i | −0.994598 | − | 0.103799i | \(-0.966900\pi\) |
0.629891 | − | 0.776684i | \(-0.283100\pi\) | |||||||
\(98\) | − | 1.06768i | − | 0.107852i | ||||||
\(99\) | 2.09059 | − | 0.865950i | 0.210112 | − | 0.0870313i | ||||
\(100\) | 4.42623 | + | 4.42623i | 0.442623 | + | 0.442623i | ||||
\(101\) | −8.42993 | −0.838810 | −0.419405 | − | 0.907799i | \(-0.637761\pi\) | ||||
−0.419405 | + | 0.907799i | \(0.637761\pi\) | |||||||
\(102\) | −11.2518 | + | 1.60949i | −1.11410 | + | 0.159363i | ||||
\(103\) | −0.399566 | −0.0393704 | −0.0196852 | − | 0.999806i | \(-0.506266\pi\) | ||||
−0.0196852 | + | 0.999806i | \(0.506266\pi\) | |||||||
\(104\) | −10.9703 | − | 10.9703i | −1.07572 | − | 1.07572i | ||||
\(105\) | −22.0823 | + | 9.14679i | −2.15501 | + | 0.892635i | ||||
\(106\) | − | 8.43006i | − | 0.818800i | ||||||
\(107\) | −3.19770 | − | 7.71993i | −0.309133 | − | 0.746314i | −0.999734 | − | 0.0230773i | \(-0.992654\pi\) |
0.690600 | − | 0.723237i | \(-0.257346\pi\) | |||||||
\(108\) | −13.1201 | − | 5.43452i | −1.26248 | − | 0.522937i | ||||
\(109\) | 2.34114 | − | 5.65200i | 0.224240 | − | 0.541364i | −0.771217 | − | 0.636572i | \(-0.780352\pi\) |
0.995457 | + | 0.0952084i | \(0.0303517\pi\) | |||||||
\(110\) | −0.668437 | + | 0.668437i | −0.0637330 | + | 0.0637330i | ||||
\(111\) | −19.3779 | + | 19.3779i | −1.83927 | + | 1.83927i | ||||
\(112\) | 0.0691371 | − | 0.166912i | 0.00653284 | − | 0.0157717i | ||||
\(113\) | 2.51351 | + | 1.04113i | 0.236451 | + | 0.0979411i | 0.497763 | − | 0.867313i | \(-0.334155\pi\) |
−0.261312 | + | 0.965254i | \(0.584155\pi\) | |||||||
\(114\) | −4.32349 | − | 10.4378i | −0.404932 | − | 0.977592i | ||||
\(115\) | − | 21.4290i | − | 1.99826i | ||||||
\(116\) | 3.85628 | − | 1.59733i | 0.358047 | − | 0.148308i | ||||
\(117\) | 25.9679 | + | 25.9679i | 2.40074 | + | 2.40074i | ||||
\(118\) | 6.94488 | 0.639328 | ||||||||
\(119\) | −1.40505 | − | 9.82266i | −0.128801 | − | 0.900442i | ||||
\(120\) | 28.2515 | 2.57900 | ||||||||
\(121\) | −7.69832 | − | 7.69832i | −0.699847 | − | 0.699847i | ||||
\(122\) | 8.04529 | − | 3.33247i | 0.728386 | − | 0.301707i | ||||
\(123\) | − | 25.8194i | − | 2.32806i | ||||||
\(124\) | 4.13380 | + | 9.97989i | 0.371227 | + | 0.896220i | ||||
\(125\) | 0.394526 | + | 0.163418i | 0.0352875 | + | 0.0146166i | ||||
\(126\) | −5.47953 | + | 13.2287i | −0.488155 | + | 1.17851i | ||||
\(127\) | −6.78286 | + | 6.78286i | −0.601881 | + | 0.601881i | −0.940811 | − | 0.338930i | \(-0.889935\pi\) |
0.338930 | + | 0.940811i | \(0.389935\pi\) | |||||||
\(128\) | 4.75369 | − | 4.75369i | 0.420171 | − | 0.420171i | ||||
\(129\) | −1.19391 | + | 2.88236i | −0.105118 | + | 0.253778i | ||||
\(130\) | −14.1739 | − | 5.87103i | −1.24314 | − | 0.514924i | ||||
\(131\) | 4.06901 | + | 9.82347i | 0.355511 | + | 0.858280i | 0.995920 | + | 0.0902455i | \(0.0287652\pi\) |
−0.640408 | + | 0.768035i | \(0.721235\pi\) | |||||||
\(132\) | − | 1.27830i | − | 0.111261i | ||||||
\(133\) | 9.11203 | − | 3.77433i | 0.790113 | − | 0.327276i | ||||
\(134\) | 1.16369 | + | 1.16369i | 0.100528 | + | 0.100528i | ||||
\(135\) | −37.0795 | −3.19129 | ||||||||
\(136\) | −2.90872 | + | 11.3620i | −0.249420 | + | 0.974285i | ||||
\(137\) | −19.4855 | −1.66476 | −0.832378 | − | 0.554209i | \(-0.813021\pi\) | ||||
−0.832378 | + | 0.554209i | \(0.813021\pi\) | |||||||
\(138\) | −13.1217 | − | 13.1217i | −1.11699 | − | 1.11699i | ||||
\(139\) | 11.6492 | − | 4.82527i | 0.988074 | − | 0.409274i | 0.170664 | − | 0.985329i | \(-0.445409\pi\) |
0.817411 | + | 0.576056i | \(0.195409\pi\) | |||||||
\(140\) | 9.34066i | 0.789430i | ||||||||
\(141\) | −5.23838 | − | 12.6466i | −0.441151 | − | 1.06503i | ||||
\(142\) | −6.19506 | − | 2.56608i | −0.519878 | − | 0.215341i | ||||
\(143\) | −0.701413 | + | 1.69336i | −0.0586551 | + | 0.141606i | ||||
\(144\) | 0.357429 | − | 0.357429i | 0.0297857 | − | 0.0297857i | ||||
\(145\) | 7.70639 | − | 7.70639i | 0.639981 | − | 0.639981i | ||||
\(146\) | −3.37161 | + | 8.13980i | −0.279037 | + | 0.673654i | ||||
\(147\) | 3.48277 | + | 1.44261i | 0.287254 | + | 0.118985i | ||||
\(148\) | 4.09835 | + | 9.89429i | 0.336882 | + | 0.813306i | ||||
\(149\) | 6.73779i | 0.551982i | 0.961160 | + | 0.275991i | \(0.0890059\pi\) | ||||
−0.961160 | + | 0.275991i | \(0.910994\pi\) | |||||||
\(150\) | 13.0762 | − | 5.41633i | 1.06767 | − | 0.442242i | ||||
\(151\) | 14.6666 | + | 14.6666i | 1.19355 | + | 1.19355i | 0.976063 | + | 0.217488i | \(0.0697864\pi\) |
0.217488 | + | 0.976063i | \(0.430214\pi\) | |||||||
\(152\) | −11.6577 | −0.945563 | ||||||||
\(153\) | 6.88528 | − | 26.8953i | 0.556642 | − | 2.17435i | ||||
\(154\) | −0.714636 | −0.0575870 | ||||||||
\(155\) | 19.9438 | + | 19.9438i | 1.60192 | + | 1.60192i | ||||
\(156\) | 19.1666 | − | 7.93909i | 1.53456 | − | 0.635636i | ||||
\(157\) | 1.30295i | 0.103987i | 0.998647 | + | 0.0519934i | \(0.0165575\pi\) | ||||
−0.998647 | + | 0.0519934i | \(0.983443\pi\) | |||||||
\(158\) | 0.102743 | + | 0.248044i | 0.00817379 | + | 0.0197333i | ||||
\(159\) | 27.4988 | + | 11.3904i | 2.18080 | + | 0.903316i | ||||
\(160\) | 6.84991 | − | 16.5371i | 0.541533 | − | 1.30738i | ||||
\(161\) | 11.4550 | − | 11.4550i | 0.902781 | − | 0.902781i | ||||
\(162\) | −10.0837 | + | 10.0837i | −0.792248 | + | 0.792248i | ||||
\(163\) | −3.13736 | + | 7.57426i | −0.245737 | + | 0.593262i | −0.997833 | − | 0.0657915i | \(-0.979043\pi\) |
0.752096 | + | 0.659053i | \(0.229043\pi\) | |||||||
\(164\) | −9.32203 | − | 3.86131i | −0.727928 | − | 0.301518i | ||||
\(165\) | −1.27727 | − | 3.08361i | −0.0994355 | − | 0.240059i | ||||
\(166\) | 9.62268i | 0.746865i | ||||||||
\(167\) | 14.0237 | − | 5.80881i | 1.08519 | − | 0.449499i | 0.232861 | − | 0.972510i | \(-0.425191\pi\) |
0.852326 | + | 0.523011i | \(0.175191\pi\) | |||||||
\(168\) | 15.1020 | + | 15.1020i | 1.16515 | + | 1.16515i | ||||
\(169\) | −16.7463 | −1.28818 | ||||||||
\(170\) | 1.64228 | + | 11.4811i | 0.125957 | + | 0.880562i | ||||
\(171\) | 27.5951 | 2.11025 | ||||||||
\(172\) | 0.862117 | + | 0.862117i | 0.0657358 | + | 0.0657358i | ||||
\(173\) | −0.478666 | + | 0.198270i | −0.0363923 | + | 0.0150742i | −0.400805 | − | 0.916163i | \(-0.631270\pi\) |
0.364413 | + | 0.931237i | \(0.381270\pi\) | |||||||
\(174\) | − | 9.43778i | − | 0.715476i | ||||||
\(175\) | 4.72836 | + | 11.4153i | 0.357430 | + | 0.862913i | ||||
\(176\) | 0.0233078 | + | 0.00965441i | 0.00175689 | + | 0.000727728i | ||||
\(177\) | −9.38367 | + | 22.6542i | −0.705320 | + | 1.70279i | ||||
\(178\) | 0.943070 | − | 0.943070i | 0.0706861 | − | 0.0706861i | ||||
\(179\) | −7.81595 | + | 7.81595i | −0.584192 | + | 0.584192i | −0.936052 | − | 0.351861i | \(-0.885549\pi\) |
0.351861 | + | 0.936052i | \(0.385549\pi\) | |||||||
\(180\) | −10.0012 | + | 24.1449i | −0.745443 | + | 1.79966i | ||||
\(181\) | −13.7034 | − | 5.67614i | −1.01857 | − | 0.421904i | −0.189993 | − | 0.981785i | \(-0.560847\pi\) |
−0.828573 | + | 0.559882i | \(0.810847\pi\) | |||||||
\(182\) | −4.43837 | − | 10.7152i | −0.328994 | − | 0.794262i | ||||
\(183\) | 30.7464i | 2.27284i | ||||||||
\(184\) | −17.6904 | + | 7.32761i | −1.30415 | + | 0.540199i | ||||
\(185\) | 19.7727 | + | 19.7727i | 1.45372 | + | 1.45372i | ||||
\(186\) | 24.4245 | 1.79089 | ||||||||
\(187\) | 1.37165 | − | 0.196204i | 0.100305 | − | 0.0143478i | ||||
\(188\) | −5.34941 | −0.390146 | ||||||||
\(189\) | −19.8211 | − | 19.8211i | −1.44177 | − | 1.44177i | ||||
\(190\) | −10.6505 | + | 4.41159i | −0.772670 | + | 0.320050i | ||||
\(191\) | − | 16.2004i | − | 1.17222i | −0.810231 | − | 0.586111i | \(-0.800658\pi\) | ||
0.810231 | − | 0.586111i | \(-0.199342\pi\) | |||||||
\(192\) | −6.11109 | − | 14.7535i | −0.441030 | − | 1.06474i | ||||
\(193\) | 14.5157 | + | 6.01261i | 1.04486 | + | 0.432797i | 0.838056 | − | 0.545585i | \(-0.183692\pi\) |
0.206808 | + | 0.978381i | \(0.433692\pi\) | |||||||
\(194\) | −3.17392 | + | 7.66252i | −0.227874 | + | 0.550137i | ||||
\(195\) | 38.3026 | − | 38.3026i | 2.74290 | − | 2.74290i | ||||
\(196\) | 1.04170 | − | 1.04170i | 0.0744073 | − | 0.0744073i | ||||
\(197\) | 5.61106 | − | 13.5463i | 0.399771 | − | 0.965134i | −0.587948 | − | 0.808898i | \(-0.700064\pi\) |
0.987720 | − | 0.156235i | \(-0.0499358\pi\) | |||||||
\(198\) | −1.84728 | − | 0.765170i | −0.131281 | − | 0.0543782i | ||||
\(199\) | 2.53066 | + | 6.10955i | 0.179394 | + | 0.433095i | 0.987840 | − | 0.155476i | \(-0.0496910\pi\) |
−0.808446 | + | 0.588570i | \(0.799691\pi\) | |||||||
\(200\) | − | 14.6044i | − | 1.03269i | ||||||
\(201\) | −5.36829 | + | 2.22362i | −0.378650 | + | 0.156842i | ||||
\(202\) | 5.26713 | + | 5.26713i | 0.370594 | + | 0.370594i | ||||
\(203\) | 8.23901 | 0.578265 | ||||||||
\(204\) | −12.5484 | − | 9.40774i | −0.878562 | − | 0.658673i | ||||
\(205\) | −26.3455 | −1.84005 | ||||||||
\(206\) | 0.249654 | + | 0.249654i | 0.0173942 | + | 0.0173942i | ||||
\(207\) | 41.8754 | − | 17.3453i | 2.91054 | − | 1.20558i | ||||
\(208\) | 0.409435i | 0.0283892i | ||||||||
\(209\) | 0.527053 | + | 1.27242i | 0.0364570 | + | 0.0880150i | ||||
\(210\) | 19.5123 | + | 8.08227i | 1.34648 | + | 0.557730i | ||||
\(211\) | 1.38190 | − | 3.33621i | 0.0951341 | − | 0.229674i | −0.869148 | − | 0.494553i | \(-0.835332\pi\) |
0.964282 | + | 0.264879i | \(0.0853319\pi\) | |||||||
\(212\) | 8.22493 | − | 8.22493i | 0.564891 | − | 0.564891i | ||||
\(213\) | 16.7411 | − | 16.7411i | 1.14708 | − | 1.14708i | ||||
\(214\) | −2.82555 | + | 6.82147i | −0.193150 | + | 0.466306i | ||||
\(215\) | 2.94109 | + | 1.21824i | 0.200581 | + | 0.0830833i | ||||
\(216\) | 12.6793 | + | 30.6105i | 0.862716 | + | 2.08278i | ||||
\(217\) | 21.3222i | 1.44744i | ||||||||
\(218\) | −4.99422 | + | 2.06867i | −0.338251 | + | 0.140108i | ||||
\(219\) | −21.9964 | − | 21.9964i | −1.48638 | − | 1.48638i | ||||
\(220\) | −1.30434 | −0.0879389 | ||||||||
\(221\) | 11.4607 | + | 19.3478i | 0.770932 | + | 1.30148i | ||||
\(222\) | 24.2151 | 1.62521 | ||||||||
\(223\) | 20.2557 | + | 20.2557i | 1.35642 | + | 1.35642i | 0.878284 | + | 0.478139i | \(0.158689\pi\) |
0.478139 | + | 0.878284i | \(0.341311\pi\) | |||||||
\(224\) | 12.5017 | − | 5.17838i | 0.835306 | − | 0.345995i | ||||
\(225\) | 34.5703i | 2.30469i | ||||||||
\(226\) | −0.919960 | − | 2.22098i | −0.0611948 | − | 0.147737i | ||||
\(227\) | −5.88537 | − | 2.43780i | −0.390626 | − | 0.161803i | 0.178721 | − | 0.983900i | \(-0.442804\pi\) |
−0.569347 | + | 0.822097i | \(0.692804\pi\) | |||||||
\(228\) | 5.96555 | − | 14.4021i | 0.395078 | − | 0.953804i | ||||
\(229\) | −7.65871 | + | 7.65871i | −0.506102 | + | 0.506102i | −0.913328 | − | 0.407226i | \(-0.866496\pi\) |
0.407226 | + | 0.913328i | \(0.366496\pi\) | |||||||
\(230\) | −13.3891 | + | 13.3891i | −0.882850 | + | 0.882850i | ||||
\(231\) | 0.965590 | − | 2.33114i | 0.0635311 | − | 0.153378i | ||||
\(232\) | −8.99711 | − | 3.72672i | −0.590689 | − | 0.244671i | ||||
\(233\) | −5.24792 | − | 12.6696i | −0.343803 | − | 0.830013i | −0.997324 | − | 0.0731051i | \(-0.976709\pi\) |
0.653522 | − | 0.756908i | \(-0.273291\pi\) | |||||||
\(234\) | − | 32.4502i | − | 2.12134i | ||||||
\(235\) | −12.9043 | + | 5.34512i | −0.841781 | + | 0.348677i | ||||
\(236\) | 6.77589 | + | 6.77589i | 0.441073 | + | 0.441073i | ||||
\(237\) | −0.947939 | −0.0615753 | ||||||||
\(238\) | −5.25943 | + | 7.01522i | −0.340918 | + | 0.454729i | ||||
\(239\) | 21.8480 | 1.41323 | 0.706615 | − | 0.707598i | \(-0.250221\pi\) | ||||
0.706615 | + | 0.707598i | \(0.250221\pi\) | |||||||
\(240\) | −0.527205 | − | 0.527205i | −0.0340310 | − | 0.0340310i | ||||
\(241\) | 21.9606 | − | 9.09638i | 1.41461 | − | 0.585949i | 0.461107 | − | 0.887344i | \(-0.347452\pi\) |
0.953499 | + | 0.301395i | \(0.0974524\pi\) | |||||||
\(242\) | 9.62001i | 0.618398i | ||||||||
\(243\) | −5.89606 | − | 14.2344i | −0.378233 | − | 0.913134i | ||||
\(244\) | 11.1009 | + | 4.59814i | 0.710662 | + | 0.294366i | ||||
\(245\) | 1.47201 | − | 3.55374i | 0.0940432 | − | 0.227040i | ||||
\(246\) | −16.1323 | + | 16.1323i | −1.02856 | + | 1.02856i | ||||
\(247\) | −15.8051 | + | 15.8051i | −1.00566 | + | 1.00566i | ||||
\(248\) | 9.64459 | − | 23.2841i | 0.612432 | − | 1.47854i | ||||
\(249\) | −31.3891 | − | 13.0018i | −1.98921 | − | 0.823956i | ||||
\(250\) | −0.144399 | − | 0.348611i | −0.00913262 | − | 0.0220481i | ||||
\(251\) | − | 19.7362i | − | 1.24574i | −0.782325 | − | 0.622870i | \(-0.785967\pi\) | ||
0.782325 | − | 0.622870i | \(-0.214033\pi\) | |||||||
\(252\) | −18.2530 | + | 7.56066i | −1.14983 | + | 0.476277i | ||||
\(253\) | 1.59959 | + | 1.59959i | 0.100566 | + | 0.100566i | ||||
\(254\) | 8.47603 | 0.531833 | ||||||||
\(255\) | −39.6704 | − | 10.1558i | −2.48426 | − | 0.635978i | ||||
\(256\) | −16.1774 | −1.01109 | ||||||||
\(257\) | 12.8291 | + | 12.8291i | 0.800258 | + | 0.800258i | 0.983136 | − | 0.182878i | \(-0.0585413\pi\) |
−0.182878 | + | 0.983136i | \(0.558541\pi\) | |||||||
\(258\) | 2.54691 | − | 1.05496i | 0.158563 | − | 0.0656791i | ||||
\(259\) | 21.1393i | 1.31353i | ||||||||
\(260\) | −8.10086 | − | 19.5572i | −0.502394 | − | 1.21289i | ||||
\(261\) | 21.2972 | + | 8.82161i | 1.31827 | + | 0.546044i | ||||
\(262\) | 3.59546 | − | 8.68020i | 0.222128 | − | 0.536264i | ||||
\(263\) | −10.8680 | + | 10.8680i | −0.670151 | + | 0.670151i | −0.957751 | − | 0.287600i | \(-0.907143\pi\) |
0.287600 | + | 0.957751i | \(0.407143\pi\) | |||||||
\(264\) | −2.10887 | + | 2.10887i | −0.129792 | + | 0.129792i | ||||
\(265\) | 11.6225 | − | 28.0592i | 0.713964 | − | 1.72366i | ||||
\(266\) | −8.05156 | − | 3.33506i | −0.493673 | − | 0.204486i | ||||
\(267\) | 1.80205 | + | 4.35053i | 0.110284 | + | 0.266248i | ||||
\(268\) | 2.27075i | 0.138708i | ||||||||
\(269\) | −17.1735 | + | 7.11348i | −1.04708 | + | 0.433716i | −0.838850 | − | 0.544363i | \(-0.816772\pi\) |
−0.208234 | + | 0.978079i | \(0.566772\pi\) | |||||||
\(270\) | 23.1677 | + | 23.1677i | 1.40994 | + | 1.40994i | ||||
\(271\) | −8.60890 | −0.522953 | −0.261477 | − | 0.965210i | \(-0.584209\pi\) | ||||
−0.261477 | + | 0.965210i | \(0.584209\pi\) | |||||||
\(272\) | 0.266308 | − | 0.157748i | 0.0161473 | − | 0.00956489i | ||||
\(273\) | 40.9498 | 2.47840 | ||||||||
\(274\) | 12.1748 | + | 12.1748i | 0.735505 | + | 0.735505i | ||||
\(275\) | −1.59405 | + | 0.660275i | −0.0961246 | + | 0.0398161i | ||||
\(276\) | − | 25.6048i | − | 1.54123i | ||||||
\(277\) | 2.52682 | + | 6.10029i | 0.151822 | + | 0.366531i | 0.981431 | − | 0.191813i | \(-0.0614368\pi\) |
−0.829609 | + | 0.558344i | \(0.811437\pi\) | |||||||
\(278\) | −10.2935 | − | 4.26369i | −0.617361 | − | 0.255719i | ||||
\(279\) | −22.8299 | + | 55.1163i | −1.36679 | + | 3.29973i | ||||
\(280\) | 15.4098 | − | 15.4098i | 0.920911 | − | 0.920911i | ||||
\(281\) | −10.2182 | + | 10.2182i | −0.609566 | + | 0.609566i | −0.942833 | − | 0.333266i | \(-0.891849\pi\) |
0.333266 | + | 0.942833i | \(0.391849\pi\) | |||||||
\(282\) | −4.62873 | + | 11.1747i | −0.275637 | + | 0.665446i | ||||
\(283\) | −7.41958 | − | 3.07329i | −0.441048 | − | 0.182688i | 0.151098 | − | 0.988519i | \(-0.451719\pi\) |
−0.592146 | + | 0.805831i | \(0.701719\pi\) | |||||||
\(284\) | −3.54068 | − | 8.54796i | −0.210101 | − | 0.507228i | ||||
\(285\) | − | 40.7027i | − | 2.41102i | ||||||
\(286\) | 1.49628 | − | 0.619781i | 0.0884772 | − | 0.0366484i | ||||
\(287\) | −14.0832 | − | 14.0832i | −0.831305 | − | 0.831305i | ||||
\(288\) | 37.8606 | 2.23096 | ||||||||
\(289\) | 8.16876 | − | 14.9088i | 0.480515 | − | 0.876986i | ||||
\(290\) | −9.63010 | −0.565499 | ||||||||
\(291\) | −20.7066 | − | 20.7066i | −1.21384 | − | 1.21384i | ||||
\(292\) | −11.2313 | + | 4.65216i | −0.657262 | + | 0.272247i | ||||
\(293\) | 25.6835i | 1.50045i | 0.661184 | + | 0.750224i | \(0.270054\pi\) | ||||
−0.661184 | + | 0.750224i | \(0.729946\pi\) | |||||||
\(294\) | −1.27472 | − | 3.07744i | −0.0743431 | − | 0.179480i | ||||
\(295\) | 23.1158 | + | 9.57488i | 1.34585 | + | 0.557471i | ||||
\(296\) | 9.56187 | − | 23.0844i | 0.555773 | − | 1.34175i | ||||
\(297\) | 2.76785 | − | 2.76785i | 0.160607 | − | 0.160607i | ||||
\(298\) | 4.20986 | − | 4.20986i | 0.243871 | − | 0.243871i | ||||
\(299\) | −14.0496 | + | 33.9187i | −0.812509 | + | 1.96157i | ||||
\(300\) | 18.0425 | + | 7.47346i | 1.04169 | + | 0.431481i | ||||
\(301\) | 0.920964 | + | 2.22340i | 0.0530835 | + | 0.128155i | ||||
\(302\) | − | 18.3278i | − | 1.05464i | ||||||
\(303\) | −24.2981 | + | 10.0646i | −1.39589 | + | 0.578196i | ||||
\(304\) | 0.217546 | + | 0.217546i | 0.0124771 | + | 0.0124771i | ||||
\(305\) | 31.3729 | 1.79641 | ||||||||
\(306\) | −21.1065 | + | 12.5025i | −1.20658 | + | 0.714720i | ||||
\(307\) | −27.6891 | −1.58030 | −0.790149 | − | 0.612915i | \(-0.789997\pi\) | ||||
−0.790149 | + | 0.612915i | \(0.789997\pi\) | |||||||
\(308\) | −0.697247 | − | 0.697247i | −0.0397293 | − | 0.0397293i | ||||
\(309\) | −1.15169 | + | 0.477047i | −0.0655176 | + | 0.0271383i | ||||
\(310\) | − | 24.9222i | − | 1.41549i | ||||||
\(311\) | −0.566280 | − | 1.36712i | −0.0321108 | − | 0.0775224i | 0.907011 | − | 0.421108i | \(-0.138359\pi\) |
−0.939121 | + | 0.343585i | \(0.888359\pi\) | |||||||
\(312\) | −44.7177 | − | 18.5227i | −2.53164 | − | 1.04864i | ||||
\(313\) | −9.27711 | + | 22.3969i | −0.524373 | + | 1.26595i | 0.410789 | + | 0.911730i | \(0.365253\pi\) |
−0.935163 | + | 0.354219i | \(0.884747\pi\) | |||||||
\(314\) | 0.814100 | − | 0.814100i | 0.0459423 | − | 0.0459423i | ||||
\(315\) | −36.4768 | + | 36.4768i | −2.05524 | + | 2.05524i | ||||
\(316\) | −0.141765 | + | 0.342251i | −0.00797490 | + | 0.0192531i | ||||
\(317\) | 9.54907 | + | 3.95536i | 0.536329 | + | 0.222155i | 0.634373 | − | 0.773027i | \(-0.281258\pi\) |
−0.0980435 | + | 0.995182i | \(0.531258\pi\) | |||||||
\(318\) | −10.0648 | − | 24.2985i | −0.564403 | − | 1.36259i | ||||
\(319\) | 1.15051i | 0.0644161i | ||||||||
\(320\) | −15.0541 | + | 6.23562i | −0.841550 | + | 0.348582i | ||||
\(321\) | −18.4338 | − | 18.4338i | −1.02888 | − | 1.02888i | ||||
\(322\) | −14.3145 | −0.797714 | ||||||||
\(323\) | 16.3696 | + | 4.19066i | 0.910827 | + | 0.233175i | ||||
\(324\) | −19.6766 | −1.09314 | ||||||||
\(325\) | −19.8002 | − | 19.8002i | −1.09832 | − | 1.09832i | ||||
\(326\) | 6.69275 | − | 2.77223i | 0.370677 | − | 0.153540i | ||||
\(327\) | − | 19.0862i | − | 1.05547i | ||||||
\(328\) | 9.00883 | + | 21.7492i | 0.497430 | + | 1.20090i | ||||
\(329\) | −9.75534 | − | 4.04079i | −0.537829 | − | 0.222776i | ||||
\(330\) | −1.12862 | + | 2.72473i | −0.0621286 | + | 0.149992i | ||||
\(331\) | −13.7256 | + | 13.7256i | −0.754427 | + | 0.754427i | −0.975302 | − | 0.220875i | \(-0.929109\pi\) |
0.220875 | + | 0.975302i | \(0.429109\pi\) | |||||||
\(332\) | −9.38853 | + | 9.38853i | −0.515263 | + | 0.515263i | ||||
\(333\) | −22.6341 | + | 54.6436i | −1.24034 | + | 2.99445i | ||||
\(334\) | −12.3916 | − | 5.13277i | −0.678039 | − | 0.280853i | ||||
\(335\) | 2.26893 | + | 5.47768i | 0.123965 | + | 0.299278i | ||||
\(336\) | − | 0.563643i | − | 0.0307492i | ||||||
\(337\) | −5.48082 | + | 2.27023i | −0.298559 | + | 0.123667i | −0.526935 | − | 0.849906i | \(-0.676659\pi\) |
0.228375 | + | 0.973573i | \(0.426659\pi\) | |||||||
\(338\) | 10.4633 | + | 10.4633i | 0.569129 | + | 0.569129i | ||||
\(339\) | 8.48784 | 0.460996 | ||||||||
\(340\) | −9.59944 | + | 12.8041i | −0.520603 | + | 0.694399i | ||||
\(341\) | −2.97746 | −0.161239 | ||||||||
\(342\) | −17.2418 | − | 17.2418i | −0.932330 | − | 0.932330i | ||||
\(343\) | 18.2504 | − | 7.55955i | 0.985427 | − | 0.408177i | ||||
\(344\) | − | 2.84456i | − | 0.153368i | ||||||
\(345\) | −25.5843 | − | 61.7659i | −1.37741 | − | 3.32537i | ||||
\(346\) | 0.422958 | + | 0.175195i | 0.0227384 | + | 0.00941854i | ||||
\(347\) | −3.75883 | + | 9.07461i | −0.201784 | + | 0.487151i | −0.992085 | − | 0.125569i | \(-0.959924\pi\) |
0.790300 | + | 0.612719i | \(0.209924\pi\) | |||||||
\(348\) | 9.20813 | − | 9.20813i | 0.493608 | − | 0.493608i | ||||
\(349\) | 14.8671 | − | 14.8671i | 0.795817 | − | 0.795817i | −0.186616 | − | 0.982433i | \(-0.559752\pi\) |
0.982433 | + | 0.186616i | \(0.0597520\pi\) | |||||||
\(350\) | 4.17807 | − | 10.0867i | 0.223327 | − | 0.539159i | ||||
\(351\) | 58.6910 | + | 24.3106i | 3.13270 | + | 1.29761i | ||||
\(352\) | 0.723117 | + | 1.74576i | 0.0385423 | + | 0.0930493i | ||||
\(353\) | 11.3683i | 0.605072i | 0.953138 | + | 0.302536i | \(0.0978332\pi\) | ||||
−0.953138 | + | 0.302536i | \(0.902167\pi\) | |||||||
\(354\) | 20.0176 | − | 8.29158i | 1.06393 | − | 0.440693i | ||||
\(355\) | −17.0822 | − | 17.0822i | −0.906630 | − | 0.906630i | ||||
\(356\) | 1.84025 | 0.0975328 | ||||||||
\(357\) | −15.7773 | − | 26.6349i | −0.835021 | − | 1.40967i | ||||
\(358\) | 9.76701 | 0.516203 | ||||||||
\(359\) | −19.3741 | − | 19.3741i | −1.02253 | − | 1.02253i | −0.999740 | − | 0.0227868i | \(-0.992746\pi\) |
−0.0227868 | − | 0.999740i | \(-0.507254\pi\) | |||||||
\(360\) | 56.3326 | − | 23.3337i | 2.96899 | − | 1.22980i | ||||
\(361\) | − | 2.20447i | − | 0.116025i | ||||||
\(362\) | 5.01554 | + | 12.1086i | 0.263611 | + | 0.636413i | ||||
\(363\) | −31.3804 | − | 12.9982i | −1.64705 | − | 0.682229i | ||||
\(364\) | 6.12407 | − | 14.7848i | 0.320989 | − | 0.774935i | ||||
\(365\) | −22.4446 | + | 22.4446i | −1.17480 | + | 1.17480i | ||||
\(366\) | 19.2107 | − | 19.2107i | 1.00416 | − | 1.00416i | ||||
\(367\) | 1.00100 | − | 2.41662i | 0.0522517 | − | 0.126147i | −0.895598 | − | 0.444864i | \(-0.853252\pi\) |
0.947850 | + | 0.318717i | \(0.103252\pi\) | |||||||
\(368\) | 0.466865 | + | 0.193382i | 0.0243370 | + | 0.0100807i | ||||
\(369\) | −21.3250 | − | 51.4831i | −1.11014 | − | 2.68010i | ||||
\(370\) | − | 24.7085i | − | 1.28453i | ||||||
\(371\) | 21.2121 | − | 8.78635i | 1.10128 | − | 0.456164i | ||||
\(372\) | 23.8302 | + | 23.8302i | 1.23554 | + | 1.23554i | ||||
\(373\) | 22.7759 | 1.17929 | 0.589645 | − | 0.807662i | \(-0.299268\pi\) | ||||
0.589645 | + | 0.807662i | \(0.299268\pi\) | |||||||
\(374\) | −0.979616 | − | 0.734435i | −0.0506547 | − | 0.0379767i | ||||
\(375\) | 1.33227 | 0.0687983 | ||||||||
\(376\) | 8.82520 | + | 8.82520i | 0.455125 | + | 0.455125i | ||||
\(377\) | −17.2506 | + | 7.14543i | −0.888451 | + | 0.368008i | ||||
\(378\) | 24.7689i | 1.27398i | ||||||||
\(379\) | −5.57565 | − | 13.4608i | −0.286402 | − | 0.691436i | 0.713556 | − | 0.700598i | \(-0.247083\pi\) |
−0.999958 | + | 0.00916236i | \(0.997083\pi\) | |||||||
\(380\) | −14.6956 | − | 6.08712i | −0.753868 | − | 0.312262i | ||||
\(381\) | −11.4525 | + | 27.6488i | −0.586729 | + | 1.41649i | ||||
\(382\) | −10.1222 | + | 10.1222i | −0.517899 | + | 0.517899i | ||||
\(383\) | 8.45057 | − | 8.45057i | 0.431804 | − | 0.431804i | −0.457438 | − | 0.889242i | \(-0.651233\pi\) |
0.889242 | + | 0.457438i | \(0.151233\pi\) | |||||||
\(384\) | 8.02636 | − | 19.3773i | 0.409594 | − | 0.988846i | ||||
\(385\) | −2.37864 | − | 0.985266i | −0.121227 | − | 0.0502138i | ||||
\(386\) | −5.31285 | − | 12.8264i | −0.270417 | − | 0.652844i | ||||
\(387\) | 6.73342i | 0.342279i | ||||||||
\(388\) | −10.5728 | + | 4.37938i | −0.536750 | + | 0.222329i | ||||
\(389\) | −7.11038 | − | 7.11038i | −0.360511 | − | 0.360511i | 0.503490 | − | 0.864001i | \(-0.332049\pi\) |
−0.864001 | + | 0.503490i | \(0.832049\pi\) | |||||||
\(390\) | −47.8639 | −2.42368 | ||||||||
\(391\) | 27.4747 | − | 3.93004i | 1.38946 | − | 0.198751i | ||||
\(392\) | −3.43710 | −0.173600 | ||||||||
\(393\) | 23.4567 | + | 23.4567i | 1.18323 | + | 1.18323i | ||||
\(394\) | −11.9698 | + | 4.95804i | −0.603028 | + | 0.249782i | ||||
\(395\) | 0.967256i | 0.0486679i | ||||||||
\(396\) | −1.05578 | − | 2.54888i | −0.0530551 | − | 0.128086i | ||||
\(397\) | −23.8273 | − | 9.86958i | −1.19586 | − | 0.495340i | −0.306199 | − | 0.951968i | \(-0.599057\pi\) |
−0.889658 | + | 0.456628i | \(0.849057\pi\) | |||||||
\(398\) | 2.23614 | − | 5.39851i | 0.112087 | − | 0.270603i | ||||
\(399\) | 21.7579 | − | 21.7579i | 1.08926 | − | 1.08926i | ||||
\(400\) | −0.272535 | + | 0.272535i | −0.0136267 | + | 0.0136267i | ||||
\(401\) | 5.36440 | − | 12.9508i | 0.267886 | − | 0.646733i | −0.731498 | − | 0.681844i | \(-0.761178\pi\) |
0.999383 | + | 0.0351108i | \(0.0111784\pi\) | |||||||
\(402\) | 4.74352 | + | 1.96483i | 0.236585 | + | 0.0979969i | ||||
\(403\) | −18.4920 | − | 44.6438i | −0.921155 | − | 2.22386i | ||||
\(404\) | 10.2779i | 0.511346i | ||||||||
\(405\) | −47.4654 | + | 19.6608i | −2.35858 | + | 0.976954i | ||||
\(406\) | −5.14784 | − | 5.14784i | −0.255483 | − | 0.255483i | ||||
\(407\) | −2.95193 | −0.146322 | ||||||||
\(408\) | 5.18128 | + | 36.2222i | 0.256512 | + | 1.79326i | ||||
\(409\) | −12.4896 | −0.617570 | −0.308785 | − | 0.951132i | \(-0.599922\pi\) | ||||
−0.308785 | + | 0.951132i | \(0.599922\pi\) | |||||||
\(410\) | 16.4610 | + | 16.4610i | 0.812952 | + | 0.812952i | ||||
\(411\) | −56.1641 | + | 23.2639i | −2.77037 | + | 1.14753i | ||||
\(412\) | 0.487159i | 0.0240006i | ||||||||
\(413\) | 7.23840 | + | 17.4750i | 0.356178 | + | 0.859891i | ||||
\(414\) | −37.0018 | − | 15.3267i | −1.81854 | − | 0.753265i | ||||
\(415\) | −13.2667 | + | 32.0288i | −0.651239 | + | 1.57223i | ||||
\(416\) | −21.6847 | + | 21.6847i | −1.06318 | + | 1.06318i | ||||
\(417\) | 27.8163 | − | 27.8163i | 1.36217 | − | 1.36217i | ||||
\(418\) | 0.465714 | − | 1.12433i | 0.0227788 | − | 0.0549929i | ||||
\(419\) | 4.10240 | + | 1.69927i | 0.200415 | + | 0.0830147i | 0.480633 | − | 0.876922i | \(-0.340407\pi\) |
−0.280218 | + | 0.959936i | \(0.590407\pi\) | |||||||
\(420\) | 11.1519 | + | 26.9231i | 0.544159 | + | 1.31372i | ||||
\(421\) | 7.17673i | 0.349773i | 0.984589 | + | 0.174886i | \(0.0559558\pi\) | ||||
−0.984589 | + | 0.174886i | \(0.944044\pi\) | |||||||
\(422\) | −2.94793 | + | 1.22107i | −0.143503 | + | 0.0594410i | ||||
\(423\) | −20.8903 | − | 20.8903i | −1.01572 | − | 1.01572i | ||||
\(424\) | −27.1382 | −1.31795 | ||||||||
\(425\) | −5.24993 | + | 20.5073i | −0.254659 | + | 0.994749i | ||||
\(426\) | −20.9201 | −1.01358 | ||||||||
\(427\) | 16.7706 | + | 16.7706i | 0.811587 | + | 0.811587i | ||||
\(428\) | −9.41228 | + | 3.89869i | −0.454960 | + | 0.188450i | ||||
\(429\) | 5.71830i | 0.276082i | ||||||||
\(430\) | −1.07646 | − | 2.59880i | −0.0519115 | − | 0.125326i | ||||
\(431\) | −11.6378 | − | 4.82053i | −0.560573 | − | 0.232197i | 0.0843612 | − | 0.996435i | \(-0.473115\pi\) |
−0.644934 | + | 0.764238i | \(0.723115\pi\) | |||||||
\(432\) | 0.334617 | − | 0.807837i | 0.0160993 | − | 0.0388671i | ||||
\(433\) | 15.8069 | − | 15.8069i | 0.759632 | − | 0.759632i | −0.216623 | − | 0.976255i | \(-0.569504\pi\) |
0.976255 | + | 0.216623i | \(0.0695042\pi\) | |||||||
\(434\) | 13.3224 | − | 13.3224i | 0.639494 | − | 0.639494i | ||||
\(435\) | 13.0118 | − | 31.4133i | 0.623869 | − | 1.50615i | ||||
\(436\) | −6.89103 | − | 2.85436i | −0.330020 | − | 0.136699i | ||||
\(437\) | 10.5571 | + | 25.4871i | 0.505014 | + | 1.21921i | ||||
\(438\) | 27.4872i | 1.31339i | ||||||||
\(439\) | −27.9846 | + | 11.5916i | −1.33563 | + | 0.553237i | −0.932257 | − | 0.361797i | \(-0.882163\pi\) |
−0.403376 | + | 0.915034i | \(0.632163\pi\) | |||||||
\(440\) | 2.15185 | + | 2.15185i | 0.102585 | + | 0.102585i | ||||
\(441\) | 8.13604 | 0.387430 | ||||||||
\(442\) | 4.92796 | − | 19.2496i | 0.234399 | − | 0.915610i | ||||
\(443\) | 25.3507 | 1.20445 | 0.602224 | − | 0.798327i | \(-0.294281\pi\) | ||||
0.602224 | + | 0.798327i | \(0.294281\pi\) | |||||||
\(444\) | 23.6258 | + | 23.6258i | 1.12123 | + | 1.12123i | ||||
\(445\) | 4.43918 | − | 1.83877i | 0.210437 | − | 0.0871661i | ||||
\(446\) | − | 25.3121i | − | 1.19856i | ||||||
\(447\) | 8.04433 | + | 19.4207i | 0.380484 | + | 0.918570i | ||||
\(448\) | −11.3806 | − | 4.71399i | −0.537682 | − | 0.222715i | ||||
\(449\) | 1.80510 | − | 4.35791i | 0.0851881 | − | 0.205662i | −0.875545 | − | 0.483137i | \(-0.839497\pi\) |
0.960733 | + | 0.277474i | \(0.0894974\pi\) | |||||||
\(450\) | 21.6000 | − | 21.6000i | 1.01823 | − | 1.01823i | ||||
\(451\) | 1.96660 | − | 1.96660i | 0.0926036 | − | 0.0926036i | ||||
\(452\) | 1.26936 | − | 3.06451i | 0.0597058 | − | 0.144143i | ||||
\(453\) | 59.7851 | + | 24.7638i | 2.80895 | + | 1.16350i | ||||
\(454\) | 2.15409 | + | 5.20042i | 0.101096 | + | 0.244068i | ||||
\(455\) | − | 41.7843i | − | 1.95888i | ||||||
\(456\) | −33.6016 | + | 13.9182i | −1.57354 | + | 0.651782i | ||||
\(457\) | 17.9567 | + | 17.9567i | 0.839980 | + | 0.839980i | 0.988856 | − | 0.148875i | \(-0.0475654\pi\) |
−0.148875 | + | 0.988856i | \(0.547565\pi\) | |||||||
\(458\) | 9.57052 | 0.447201 | ||||||||
\(459\) | −6.80032 | − | 47.5408i | −0.317412 | − | 2.21901i | ||||
\(460\) | −26.1266 | −1.21816 | ||||||||
\(461\) | −25.1464 | − | 25.1464i | −1.17118 | − | 1.17118i | −0.981928 | − | 0.189256i | \(-0.939392\pi\) |
−0.189256 | − | 0.981928i | \(-0.560608\pi\) | |||||||
\(462\) | −2.05984 | + | 0.853213i | −0.0958324 | + | 0.0396951i | ||||
\(463\) | 19.7152i | 0.916244i | 0.888889 | + | 0.458122i | \(0.151478\pi\) | ||||
−0.888889 | + | 0.458122i | \(0.848522\pi\) | |||||||
\(464\) | 0.0983514 | + | 0.237441i | 0.00456585 | + | 0.0110229i | ||||
\(465\) | 81.2962 | + | 33.6740i | 3.77002 | + | 1.56159i | ||||
\(466\) | −4.63716 | + | 11.1951i | −0.214812 | + | 0.518603i | ||||
\(467\) | 6.07948 | − | 6.07948i | 0.281325 | − | 0.281325i | −0.552312 | − | 0.833637i | \(-0.686254\pi\) |
0.833637 | + | 0.552312i | \(0.186254\pi\) | |||||||
\(468\) | 31.6606 | − | 31.6606i | 1.46351 | − | 1.46351i | ||||
\(469\) | −1.71526 | + | 4.14101i | −0.0792034 | + | 0.191214i | ||||
\(470\) | 11.4024 | + | 4.72305i | 0.525956 | + | 0.217858i | ||||
\(471\) | 1.55561 | + | 3.75557i | 0.0716786 | + | 0.173048i | ||||
\(472\) | − | 22.3571i | − | 1.02907i | ||||||
\(473\) | −0.310479 | + | 0.128605i | −0.0142759 | + | 0.00591325i | ||||
\(474\) | 0.592284 | + | 0.592284i | 0.0272045 | + | 0.0272045i | ||||
\(475\) | −21.0409 | −0.965424 | ||||||||
\(476\) | −11.9760 | + | 1.71306i | −0.548917 | + | 0.0785182i | ||||
\(477\) | 64.2394 | 2.94132 | ||||||||
\(478\) | −13.6509 | − | 13.6509i | −0.624378 | − | 0.624378i | ||||
\(479\) | −2.12619 | + | 0.880695i | −0.0971479 | + | 0.0402400i | −0.430728 | − | 0.902482i | \(-0.641743\pi\) |
0.333580 | + | 0.942722i | \(0.391743\pi\) | |||||||
\(480\) | − | 55.8442i | − | 2.54893i | ||||||
\(481\) | −18.3335 | − | 44.2609i | −0.835933 | − | 2.01812i | ||||
\(482\) | −19.4048 | − | 8.03773i | −0.883864 | − | 0.366108i | ||||
\(483\) | 19.3412 | − | 46.6937i | 0.880054 | − | 2.12464i | ||||
\(484\) | −9.38593 | + | 9.38593i | −0.426633 | + | 0.426633i | ||||
\(485\) | −21.1286 | + | 21.1286i | −0.959398 | + | 0.959398i | ||||
\(486\) | −5.20987 | + | 12.5777i | −0.236325 | + | 0.570538i | ||||
\(487\) | −38.3269 | − | 15.8755i | −1.73676 | − | 0.719389i | −0.999018 | − | 0.0443052i | \(-0.985893\pi\) |
−0.737741 | − | 0.675084i | \(-0.764107\pi\) | |||||||
\(488\) | −10.7279 | − | 25.8995i | −0.485631 | − | 1.17242i | ||||
\(489\) | 25.5775i | 1.15665i | ||||||||
\(490\) | −3.14015 | + | 1.30069i | −0.141858 | + | 0.0587594i | ||||
\(491\) | 7.60261 | + | 7.60261i | 0.343101 | + | 0.343101i | 0.857532 | − | 0.514431i | \(-0.171997\pi\) |
−0.514431 | + | 0.857532i | \(0.671997\pi\) | |||||||
\(492\) | −31.4795 | −1.41921 | ||||||||
\(493\) | 11.2939 | + | 8.46726i | 0.508654 | + | 0.381346i | ||||
\(494\) | 19.7505 | 0.888617 | ||||||||
\(495\) | −5.09368 | − | 5.09368i | −0.228944 | − | 0.228944i | ||||
\(496\) | −0.614487 | + | 0.254529i | −0.0275913 | + | 0.0114287i | ||||
\(497\) | − | 18.2628i | − | 0.819201i | ||||||
\(498\) | 11.4886 | + | 27.7360i | 0.514818 | + | 1.24288i | ||||
\(499\) | 20.3602 | + | 8.43346i | 0.911447 | + | 0.377534i | 0.788610 | − | 0.614893i | \(-0.210801\pi\) |
0.122837 | + | 0.992427i | \(0.460801\pi\) | |||||||
\(500\) | 0.199242 | − | 0.481014i | 0.00891039 | − | 0.0215116i | ||||
\(501\) | 33.4861 | − | 33.4861i | 1.49605 | − | 1.49605i | ||||
\(502\) | −12.3314 | + | 12.3314i | −0.550379 | + | 0.550379i | ||||
\(503\) | 0.550878 | − | 1.32994i | 0.0245624 | − | 0.0592989i | −0.911122 | − | 0.412136i | \(-0.864783\pi\) |
0.935685 | + | 0.352837i | \(0.114783\pi\) | |||||||
\(504\) | 42.5862 | + | 17.6398i | 1.89694 | + | 0.785739i | ||||
\(505\) | 10.2697 | + | 24.7932i | 0.456995 | + | 1.10328i | ||||
\(506\) | − | 1.99889i | − | 0.0888617i | ||||||
\(507\) | −48.2689 | + | 19.9936i | −2.14370 | + | 0.887948i | ||||
\(508\) | 8.26978 | + | 8.26978i | 0.366912 | + | 0.366912i | ||||
\(509\) | 16.3855 | 0.726274 | 0.363137 | − | 0.931736i | \(-0.381706\pi\) | ||||
0.363137 | + | 0.931736i | \(0.381706\pi\) | |||||||
\(510\) | 18.4411 | + | 31.1320i | 0.816586 | + | 1.37855i | ||||
\(511\) | −23.9959 | −1.06151 | ||||||||
\(512\) | 0.600467 | + | 0.600467i | 0.0265372 | + | 0.0265372i | ||||
\(513\) | 44.1014 | − | 18.2674i | 1.94712 | − | 0.806525i | ||||
\(514\) | − | 16.0316i | − | 0.707123i | ||||||
\(515\) | 0.486768 | + | 1.17516i | 0.0214496 | + | 0.0517838i | ||||
\(516\) | 3.51423 | + | 1.45564i | 0.154705 | + | 0.0640810i | ||||
\(517\) | 0.564263 | − | 1.36225i | 0.0248162 | − | 0.0599117i | ||||
\(518\) | 13.2081 | − | 13.2081i | 0.580331 | − | 0.580331i | ||||
\(519\) | −1.14297 | + | 1.14297i | −0.0501708 | + | 0.0501708i | ||||
\(520\) | −18.9001 | + | 45.6290i | −0.828826 | + | 2.00096i | ||||
\(521\) | 38.4312 | + | 15.9187i | 1.68370 | + | 0.697412i | 0.999492 | − | 0.0318725i | \(-0.0101471\pi\) |
0.684210 | + | 0.729285i | \(0.260147\pi\) | |||||||
\(522\) | −7.79494 | − | 18.8186i | −0.341175 | − | 0.823670i | ||||
\(523\) | − | 24.2374i | − | 1.05983i | −0.848051 | − | 0.529915i | \(-0.822224\pi\) | ||
0.848051 | − | 0.529915i | \(-0.177776\pi\) | |||||||
\(524\) | 11.9769 | − | 4.96101i | 0.523215 | − | 0.216723i | ||||
\(525\) | 27.2577 | + | 27.2577i | 1.18962 | + | 1.18962i | ||||
\(526\) | 13.5810 | 0.592158 | ||||||||
\(527\) | −21.9129 | + | 29.2282i | −0.954541 | + | 1.27320i | ||||
\(528\) | 0.0787080 | 0.00342533 | ||||||||
\(529\) | 15.7771 | + | 15.7771i | 0.685960 | + | 0.685960i | ||||
\(530\) | −24.7936 | + | 10.2698i | −1.07696 | + | 0.446094i | ||||
\(531\) | 52.9220i | 2.29662i | ||||||||
\(532\) | −4.60173 | − | 11.1096i | −0.199510 | − | 0.481660i | ||||
\(533\) | 41.7009 | + | 17.2731i | 1.80627 | + | 0.748180i | ||||
\(534\) | 1.59232 | − | 3.84421i | 0.0689066 | − | 0.166355i | ||||
\(535\) | −18.8095 | + | 18.8095i | −0.813204 | + | 0.813204i | ||||
\(536\) | 3.74618 | − | 3.74618i | 0.161810 | − | 0.161810i | ||||
\(537\) | −13.1968 | + | 31.8599i | −0.569485 | + | 1.37486i | ||||
\(538\) | 15.1748 | + | 6.28560i | 0.654231 | + | 0.270991i | ||||
\(539\) | 0.155394 | + | 0.375154i | 0.00669329 | + | 0.0161590i | ||||
\(540\) | 45.2079i | 1.94544i | ||||||||
\(541\) | 20.5470 | − | 8.51085i | 0.883385 | − | 0.365910i | 0.105576 | − | 0.994411i | \(-0.466331\pi\) |
0.777809 | + | 0.628501i | \(0.216331\pi\) | |||||||
\(542\) | 5.37895 | + | 5.37895i | 0.231046 | + | 0.231046i | ||||
\(543\) | −46.2749 | −1.98585 | ||||||||
\(544\) | 22.4591 | + | 5.74960i | 0.962925 | + | 0.246512i | ||||
\(545\) | −19.4751 | −0.834223 | ||||||||
\(546\) | −25.5860 | − | 25.5860i | −1.09498 | − | 1.09498i | ||||
\(547\) | 11.6509 | − | 4.82595i | 0.498156 | − | 0.206343i | −0.119436 | − | 0.992842i | \(-0.538109\pi\) |
0.617591 | + | 0.786499i | \(0.288109\pi\) | |||||||
\(548\) | 23.7570i | 1.01485i | ||||||||
\(549\) | 25.3943 | + | 61.3073i | 1.08380 | + | 2.61653i | ||||
\(550\) | 1.40853 | + | 0.583432i | 0.0600598 | + | 0.0248776i | ||||
\(551\) | −5.36919 | + | 12.9624i | −0.228735 | + | 0.552216i | ||||
\(552\) | −42.2416 | + | 42.2416i | −1.79792 | + | 1.79792i | ||||
\(553\) | −0.517054 | + | 0.517054i | −0.0219874 | + | 0.0219874i | ||||
\(554\) | 2.23275 | − | 5.39033i | 0.0948604 | − | 0.229013i | ||||
\(555\) | 80.5990 | + | 33.3852i | 3.42124 | + | 1.41712i | ||||
\(556\) | −5.88305 | − | 14.2029i | −0.249497 | − | 0.602339i | ||||
\(557\) | − | 21.8585i | − | 0.926173i | −0.886313 | − | 0.463086i | \(-0.846742\pi\) | ||
0.886313 | − | 0.463086i | \(-0.153258\pi\) | |||||||
\(558\) | 48.7018 | − | 20.1729i | 2.06171 | − | 0.853988i | ||||
\(559\) | −3.85657 | − | 3.85657i | −0.163116 | − | 0.163116i | ||||
\(560\) | −0.575128 | −0.0243036 | ||||||||
\(561\) | 3.71934 | − | 2.20316i | 0.157031 | − | 0.0930175i | ||||
\(562\) | 12.7689 | 0.538624 | ||||||||
\(563\) | −30.4159 | − | 30.4159i | −1.28188 | − | 1.28188i | −0.939597 | − | 0.342281i | \(-0.888800\pi\) |
−0.342281 | − | 0.939597i | \(-0.611200\pi\) | |||||||
\(564\) | −15.4189 | + | 6.38672i | −0.649253 | + | 0.268930i | ||||
\(565\) | − | 8.66080i | − | 0.364363i | ||||||
\(566\) | 2.71562 | + | 6.55608i | 0.114146 | + | 0.275573i | ||||
\(567\) | −35.8828 | − | 14.8632i | −1.50694 | − | 0.624194i | ||||
\(568\) | −8.26077 | + | 19.9433i | −0.346614 | + | 0.836801i | ||||
\(569\) | 14.5172 | − | 14.5172i | 0.608594 | − | 0.608594i | −0.333985 | − | 0.942578i | \(-0.608393\pi\) |
0.942578 | + | 0.333985i | \(0.108393\pi\) | |||||||
\(570\) | −25.4316 | + | 25.4316i | −1.06521 | + | 1.06521i | ||||
\(571\) | 0.0919704 | − | 0.222036i | 0.00384884 | − | 0.00929193i | −0.921943 | − | 0.387325i | \(-0.873399\pi\) |
0.925792 | + | 0.378033i | \(0.123399\pi\) | |||||||
\(572\) | 2.06458 | + | 0.855175i | 0.0863242 | + | 0.0357567i | ||||
\(573\) | −19.3419 | − | 46.6955i | −0.808019 | − | 1.95073i | ||||
\(574\) | 17.5987i | 0.734557i | ||||||||
\(575\) | −31.9294 | + | 13.2256i | −1.33155 | + | 0.551545i | ||||
\(576\) | −24.3706 | − | 24.3706i | −1.01544 | − | 1.01544i | ||||
\(577\) | −27.7861 | −1.15675 | −0.578376 | − | 0.815770i | \(-0.696313\pi\) | ||||
−0.578376 | + | 0.815770i | \(0.696313\pi\) | |||||||
\(578\) | −14.4191 | + | 4.21125i | −0.599757 | + | 0.175165i | ||||
\(579\) | 49.0180 | 2.03712 | ||||||||
\(580\) | −9.39577 | − | 9.39577i | −0.390138 | − | 0.390138i | ||||
\(581\) | −24.2130 | + | 10.0294i | −1.00453 | + | 0.416088i | ||||
\(582\) | 25.8755i | 1.07257i | ||||||||
\(583\) | 1.22694 | + | 2.96209i | 0.0508146 | + | 0.122677i | ||||
\(584\) | 26.2038 | + | 10.8540i | 1.08432 | + | 0.449140i | ||||
\(585\) | 44.7389 | − | 108.009i | 1.84973 | − | 4.46564i | ||||
\(586\) | 16.0474 | − | 16.0474i | 0.662912 | − | 0.662912i | ||||
\(587\) | 1.91046 | − | 1.91046i | 0.0788530 | − | 0.0788530i | −0.666580 | − | 0.745433i | \(-0.732243\pi\) |
0.745433 | + | 0.666580i | \(0.232243\pi\) | |||||||
\(588\) | 1.75886 | − | 4.24626i | 0.0725341 | − | 0.175113i | ||||
\(589\) | −33.5460 | − | 13.8952i | −1.38224 | − | 0.572542i | ||||
\(590\) | −8.46054 | − | 20.4256i | −0.348315 | − | 0.840907i | ||||
\(591\) | − | 45.7444i | − | 1.88167i | ||||||
\(592\) | −0.609217 | + | 0.252346i | −0.0250387 | + | 0.0103714i | ||||
\(593\) | 18.4755 | + | 18.4755i | 0.758700 | + | 0.758700i | 0.976086 | − | 0.217386i | \(-0.0697531\pi\) |
−0.217386 | + | 0.976086i | \(0.569753\pi\) | |||||||
\(594\) | −3.45877 | −0.141915 | ||||||||
\(595\) | −27.1777 | + | 16.0988i | −1.11418 | + | 0.659984i | ||||
\(596\) | 8.21484 | 0.336493 | ||||||||
\(597\) | 14.5885 | + | 14.5885i | 0.597069 | + | 0.597069i | ||||
\(598\) | 29.9712 | − | 12.4145i | 1.22561 | − | 0.507666i | ||||
\(599\) | − | 2.48091i | − | 0.101367i | −0.998715 | − | 0.0506837i | \(-0.983860\pi\) | ||
0.998715 | − | 0.0506837i | \(-0.0161400\pi\) | |||||||
\(600\) | −17.4364 | − | 42.0951i | −0.711836 | − | 1.71852i | ||||
\(601\) | 18.8319 | + | 7.80044i | 0.768170 | + | 0.318187i | 0.732131 | − | 0.681164i | \(-0.238526\pi\) |
0.0360393 | + | 0.999350i | \(0.488526\pi\) | |||||||
\(602\) | 0.813780 | − | 1.96464i | 0.0331672 | − | 0.0800727i | ||||
\(603\) | −8.86766 | + | 8.86766i | −0.361119 | + | 0.361119i | ||||
\(604\) | 17.8818 | − | 17.8818i | 0.727600 | − | 0.727600i | ||||
\(605\) | −13.2631 | + | 32.0199i | −0.539220 | + | 1.30179i | ||||
\(606\) | 21.4703 | + | 8.89327i | 0.872169 | + | 0.361264i | ||||
\(607\) | −4.09532 | − | 9.88698i | −0.166224 | − | 0.401300i | 0.818716 | − | 0.574199i | \(-0.194687\pi\) |
−0.984940 | + | 0.172899i | \(0.944687\pi\) | |||||||
\(608\) | 23.0435i | 0.934538i | ||||||||
\(609\) | 23.7478 | − | 9.83666i | 0.962309 | − | 0.398601i | ||||
\(610\) | −19.6022 | − | 19.6022i | −0.793670 | − | 0.793670i | ||||
\(611\) | 23.9299 | 0.968100 | ||||||||
\(612\) | −32.7912 | − | 8.39466i | −1.32551 | − | 0.339334i | ||||
\(613\) | −21.8975 | −0.884431 | −0.442216 | − | 0.896909i | \(-0.645807\pi\) | ||||
−0.442216 | + | 0.896909i | \(0.645807\pi\) | |||||||
\(614\) | 17.3005 | + | 17.3005i | 0.698190 | + | 0.698190i | ||||
\(615\) | −75.9373 | + | 31.4543i | −3.06209 | + | 1.26836i | ||||
\(616\) | 2.30057i | 0.0926926i | ||||||||
\(617\) | −5.24036 | − | 12.6514i | −0.210969 | − | 0.509324i | 0.782604 | − | 0.622520i | \(-0.213891\pi\) |
−0.993573 | + | 0.113196i | \(0.963891\pi\) | |||||||
\(618\) | 1.01766 | + | 0.421528i | 0.0409362 | + | 0.0169563i | ||||
\(619\) | 4.12163 | − | 9.95049i | 0.165662 | − | 0.399944i | −0.819147 | − | 0.573584i | \(-0.805553\pi\) |
0.984809 | + | 0.173640i | \(0.0555528\pi\) | |||||||
\(620\) | 24.3158 | − | 24.3158i | 0.976546 | − | 0.976546i | ||||
\(621\) | 55.4412 | − | 55.4412i | 2.22478 | − | 2.22478i | ||||
\(622\) | −0.500376 | + | 1.20801i | −0.0200632 | + | 0.0484370i | ||||
\(623\) | 3.35593 | + | 1.39007i | 0.134452 | + | 0.0556920i | ||||
\(624\) | 0.488830 | + | 1.18014i | 0.0195688 | + | 0.0472434i | ||||
\(625\) | 24.3113i | 0.972452i | ||||||||
\(626\) | 19.7903 | − | 8.19743i | 0.790981 | − | 0.327635i | ||||
\(627\) | 3.03831 | + | 3.03831i | 0.121338 | + | 0.121338i | ||||
\(628\) | 1.58858 | 0.0633912 | ||||||||
\(629\) | −21.7250 | + | 28.9775i | −0.866231 | + | 1.15541i | ||||
\(630\) | 45.5824 | 1.81605 | ||||||||
\(631\) | −21.5640 | − | 21.5640i | −0.858447 | − | 0.858447i | 0.132708 | − | 0.991155i | \(-0.457633\pi\) |
−0.991155 | + | 0.132708i | \(0.957633\pi\) | |||||||
\(632\) | 0.798506 | − | 0.330752i | 0.0317629 | − | 0.0131566i | ||||
\(633\) | − | 11.2660i | − | 0.447784i | ||||||
\(634\) | −3.49503 | − | 8.43774i | −0.138805 | − | 0.335105i | ||||
\(635\) | 28.2122 | + | 11.6859i | 1.11957 | + | 0.463739i | ||||
\(636\) | 13.8874 | − | 33.5271i | 0.550670 | − | 1.32943i | ||||
\(637\) | −4.65992 | + | 4.65992i | −0.184633 | + | 0.184633i | ||||
\(638\) | 0.718852 | − | 0.718852i | 0.0284596 | − | 0.0284596i | ||||
\(639\) | 19.5542 | − | 47.2081i | 0.773554 | − | 1.86752i | ||||
\(640\) | −19.7722 | − | 8.18992i | −0.781565 | − | 0.323735i | ||||
\(641\) | 9.65860 | + | 23.3179i | 0.381492 | + | 0.921003i | 0.991678 | + | 0.128744i | \(0.0410947\pi\) |
−0.610186 | + | 0.792258i | \(0.708905\pi\) | |||||||
\(642\) | 23.0354i | 0.909134i | ||||||||
\(643\) | −18.5426 | + | 7.68059i | −0.731248 | + | 0.302893i | −0.717065 | − | 0.697007i | \(-0.754515\pi\) |
−0.0141833 | + | 0.999899i | \(0.504515\pi\) | |||||||
\(644\) | −13.9661 | − | 13.9661i | −0.550343 | − | 0.550343i | ||||
\(645\) | 9.93176 | 0.391063 | ||||||||
\(646\) | −7.60953 | − | 12.8463i | −0.299393 | − | 0.505430i | ||||
\(647\) | −41.8015 | −1.64339 | −0.821693 | − | 0.569930i | \(-0.806970\pi\) | ||||
−0.821693 | + | 0.569930i | \(0.806970\pi\) | |||||||
\(648\) | 32.4615 | + | 32.4615i | 1.27521 | + | 1.27521i | ||||
\(649\) | −2.44024 | + | 1.01078i | −0.0957879 | + | 0.0396766i | ||||
\(650\) | 24.7428i | 0.970494i | ||||||||
\(651\) | 25.4568 | + | 61.4582i | 0.997731 | + | 2.40874i | ||||
\(652\) | 9.23467 | + | 3.82513i | 0.361658 | + | 0.149804i | ||||
\(653\) | 7.08207 | − | 17.0976i | 0.277143 | − | 0.669082i | −0.722611 | − | 0.691254i | \(-0.757058\pi\) |
0.999754 | + | 0.0221728i | \(0.00705839\pi\) | |||||||
\(654\) | −11.9253 | + | 11.9253i | −0.466317 | + | 0.466317i | ||||
\(655\) | 23.9347 | − | 23.9347i | 0.935206 | − | 0.935206i | ||||
\(656\) | 0.237751 | − | 0.573981i | 0.00928261 | − | 0.0224102i | ||||
\(657\) | −62.0275 | − | 25.6927i | −2.41993 | − | 1.00237i | ||||
\(658\) | 3.57052 | + | 8.62000i | 0.139193 | + | 0.336043i | ||||
\(659\) | 10.7730i | 0.419658i | 0.977738 | + | 0.209829i | \(0.0672908\pi\) | ||||
−0.977738 | + | 0.209829i | \(0.932709\pi\) | |||||||
\(660\) | −3.75959 | + | 1.55727i | −0.146342 | + | 0.0606168i | ||||
\(661\) | 4.11861 | + | 4.11861i | 0.160195 | + | 0.160195i | 0.782653 | − | 0.622458i | \(-0.213866\pi\) |
−0.622458 | + | 0.782653i | \(0.713866\pi\) | |||||||
\(662\) | 17.1518 | 0.666625 | ||||||||
\(663\) | 56.1336 | + | 42.0843i | 2.18005 | + | 1.63442i | ||||
\(664\) | 30.9775 | 1.20216 | ||||||||
\(665\) | −22.2013 | − | 22.2013i | −0.860929 | − | 0.860929i | ||||
\(666\) | 48.2841 | − | 19.9999i | 1.87097 | − | 0.774981i | ||||
\(667\) | 23.0452i | 0.892312i | ||||||||
\(668\) | −7.08221 | − | 17.0980i | −0.274019 | − | 0.661540i | ||||
\(669\) | 82.5678 | + | 34.2007i | 3.19226 | + | 1.32228i | ||||
\(670\) | 2.00487 | − | 4.84018i | 0.0774549 | − | 0.186993i | ||||
\(671\) | −2.34188 | + | 2.34188i | −0.0904071 | + | 0.0904071i | ||||
\(672\) | 29.8519 | − | 29.8519i | 1.15156 | − | 1.15156i | ||||
\(673\) | −8.19181 | + | 19.7768i | −0.315771 | + | 0.762339i | 0.683698 | + | 0.729765i | \(0.260370\pi\) |
−0.999469 | + | 0.0325740i | \(0.989630\pi\) | |||||||
\(674\) | 4.84295 | + | 2.00602i | 0.186544 | + | 0.0772689i | ||||
\(675\) | 22.8848 | + | 55.2488i | 0.880837 | + | 2.12653i | ||||
\(676\) | 20.4174i | 0.785285i | ||||||||
\(677\) | 7.07753 | − | 2.93161i | 0.272012 | − | 0.112671i | −0.242508 | − | 0.970149i | \(-0.577970\pi\) |
0.514520 | + | 0.857478i | \(0.327970\pi\) | |||||||
\(678\) | −5.30331 | − | 5.30331i | −0.203672 | − | 0.203672i | ||||
\(679\) | −22.5888 | −0.866880 | ||||||||
\(680\) | 36.9603 | − | 5.28686i | 1.41736 | − | 0.202742i | ||||
\(681\) | −19.8743 | −0.761584 | ||||||||
\(682\) | 1.86036 | + | 1.86036i | 0.0712367 | + | 0.0712367i | ||||
\(683\) | −17.9875 | + | 7.45067i | −0.688273 | + | 0.285092i | −0.699281 | − | 0.714847i | \(-0.746496\pi\) |
0.0110074 | + | 0.999939i | \(0.496496\pi\) | |||||||
\(684\) | − | 33.6445i | − | 1.28643i | ||||||
\(685\) | 23.7380 | + | 57.3086i | 0.906982 | + | 2.18965i | ||||
\(686\) | −16.1264 | − | 6.67976i | −0.615708 | − | 0.255034i | ||||
\(687\) | −12.9313 | + | 31.2190i | −0.493361 | + | 1.19108i | ||||
\(688\) | −0.0530828 | + | 0.0530828i | −0.00202376 | + | 0.00202376i | ||||
\(689\) | −36.7932 | + | 36.7932i | −1.40171 | + | 1.40171i | ||||
\(690\) | −22.6068 | + | 54.5775i | −0.860624 | + | 2.07773i | ||||
\(691\) | 21.2962 | + | 8.82117i | 0.810145 | + | 0.335573i | 0.749012 | − | 0.662557i | \(-0.230529\pi\) |
0.0611332 | + | 0.998130i | \(0.480529\pi\) | |||||||
\(692\) | 0.241734 | + | 0.583598i | 0.00918936 | + | 0.0221851i | ||||
\(693\) | − | 5.44573i | − | 0.206866i | ||||||
\(694\) | 8.01850 | − | 3.32137i | 0.304378 | − | 0.126077i | ||||
\(695\) | −28.3831 | − | 28.3831i | −1.07663 | − | 1.07663i | ||||
\(696\) | −30.3823 | −1.15164 | ||||||||
\(697\) | −4.83173 | − | 33.7785i | −0.183015 | − | 1.27945i | ||||
\(698\) | −18.5783 | −0.703199 | ||||||||
\(699\) | −30.2528 | − | 30.2528i | −1.14427 | − | 1.14427i | ||||
\(700\) | 13.9177 | − | 5.76490i | 0.526040 | − | 0.217893i | ||||
\(701\) | − | 34.0976i | − | 1.28785i | −0.765089 | − | 0.643924i | \(-0.777305\pi\) | ||
0.765089 | − | 0.643924i | \(-0.222695\pi\) | |||||||
\(702\) | −21.4813 | − | 51.8605i | −0.810760 | − | 1.95735i | ||||
\(703\) | −33.2583 | − | 13.7760i | −1.25436 | − | 0.519573i | ||||
\(704\) | 0.658269 | − | 1.58920i | 0.0248094 | − | 0.0598953i | ||||
\(705\) | −30.8131 | + | 30.8131i | −1.16049 | + | 1.16049i | ||||
\(706\) | 7.10303 | − | 7.10303i | 0.267326 | − | 0.267326i | ||||
\(707\) | −7.76366 | + | 18.7431i | −0.291983 | + | 0.704908i | ||||
\(708\) | 27.6204 | + | 11.4407i | 1.03804 | + | 0.429969i | ||||
\(709\) | −7.25734 | − | 17.5208i | −0.272555 | − | 0.658006i | 0.727036 | − | 0.686599i | \(-0.240897\pi\) |
−0.999591 | + | 0.0285932i | \(0.990897\pi\) | |||||||
\(710\) | 21.3464i | 0.801115i | ||||||||
\(711\) | −1.89016 | + | 0.782931i | −0.0708866 | + | 0.0293622i | ||||
\(712\) | −3.03595 | − | 3.03595i | −0.113777 | − | 0.113777i | ||||
\(713\) | −59.6398 | −2.23353 | ||||||||
\(714\) | −6.78401 | + | 26.4997i | −0.253885 | + | 0.991725i | ||||
\(715\) | 5.83482 | 0.218210 | ||||||||
\(716\) | 9.52935 | + | 9.52935i | 0.356129 | + | 0.356129i | ||||
\(717\) | 62.9738 | − | 26.0846i | 2.35180 | − | 0.974147i | ||||
\(718\) | 24.2104i | 0.903524i | ||||||||
\(719\) | −15.3426 | − | 37.0403i | −0.572183 | − | 1.38137i | −0.899693 | − | 0.436523i | \(-0.856210\pi\) |
0.327510 | − | 0.944848i | \(-0.393790\pi\) | |||||||
\(720\) | −1.48667 | − | 0.615797i | −0.0554047 | − | 0.0229494i | ||||
\(721\) | −0.367986 | + | 0.888397i | −0.0137045 | + | 0.0330856i | ||||
\(722\) | −1.37738 | + | 1.37738i | −0.0512607 | + | 0.0512607i | ||||
\(723\) | 52.4381 | − | 52.4381i | 1.95019 | − | 1.95019i | ||||
\(724\) | −6.92045 | + | 16.7074i | −0.257196 | + | 0.620927i | ||||
\(725\) | −16.2389 | − | 6.72636i | −0.603096 | − | 0.249811i | ||||
\(726\) | 11.4854 | + | 27.7283i | 0.426265 | + | 1.02909i | ||||
\(727\) | − | 13.1530i | − | 0.487819i | −0.969798 | − | 0.243910i | \(-0.921570\pi\) | ||
0.969798 | − | 0.243910i | \(-0.0784300\pi\) | |||||||
\(728\) | −34.4945 | + | 14.2881i | −1.27845 | + | 0.529552i | ||||
\(729\) | 0.246218 | + | 0.246218i | 0.00911918 | + | 0.00911918i | ||||
\(730\) | 28.0473 | 1.03808 | ||||||||
\(731\) | −1.02255 | + | 3.99429i | −0.0378205 | + | 0.147734i | ||||
\(732\) | 37.4866 | 1.38554 | ||||||||
\(733\) | 27.2575 | + | 27.2575i | 1.00678 | + | 1.00678i | 0.999977 | + | 0.00680041i | \(0.00216465\pi\) |
0.00680041 | + | 0.999977i | \(0.497835\pi\) | |||||||
\(734\) | −2.13537 | + | 0.884500i | −0.0788180 | + | 0.0326475i | ||||
\(735\) | − | 12.0006i | − | 0.442649i | ||||||
\(736\) | 14.4843 | + | 34.9683i | 0.533900 | + | 1.28895i | ||||
\(737\) | −0.578257 | − | 0.239522i | −0.0213004 | − | 0.00882290i | ||||
\(738\) | −18.8432 | + | 45.4914i | −0.693627 | + | 1.67456i | ||||
\(739\) | −7.83798 | + | 7.83798i | −0.288325 | + | 0.288325i | −0.836418 | − | 0.548093i | \(-0.815354\pi\) |
0.548093 | + | 0.836418i | \(0.315354\pi\) | |||||||
\(740\) | 24.1073 | − | 24.1073i | 0.886201 | − | 0.886201i | ||||
\(741\) | −26.6861 | + | 64.4261i | −0.980340 | + | 2.36675i | ||||
\(742\) | −18.7434 | − | 7.76378i | −0.688093 | − | 0.285017i | ||||
\(743\) | −5.25184 | − | 12.6791i | −0.192671 | − | 0.465150i | 0.797791 | − | 0.602934i | \(-0.206002\pi\) |
−0.990462 | + | 0.137784i | \(0.956002\pi\) | |||||||
\(744\) | − | 78.6279i | − | 2.88264i | ||||||
\(745\) | 19.8165 | − | 8.20826i | 0.726020 | − | 0.300727i | ||||
\(746\) | −14.2307 | − | 14.2307i | −0.521021 | − | 0.521021i | ||||
\(747\) | −73.3275 | −2.68291 | ||||||||
\(748\) | −0.239215 | − | 1.67234i | −0.00874657 | − | 0.0611469i | ||||
\(749\) | −20.1095 | −0.734784 | ||||||||
\(750\) | −0.832422 | − | 0.832422i | −0.0303957 | − | 0.0303957i | ||||
\(751\) | 50.1528 | − | 20.7740i | 1.83010 | − | 0.758053i | 0.862274 | − | 0.506441i | \(-0.169039\pi\) |
0.967828 | − | 0.251612i | \(-0.0809607\pi\) | |||||||
\(752\) | − | 0.329377i | − | 0.0120111i | ||||||
\(753\) | −23.5633 | − | 56.8869i | −0.858695 | − | 2.07307i | ||||
\(754\) | 15.2429 | + | 6.31384i | 0.555115 | + | 0.229936i | ||||
\(755\) | 25.2684 | − | 61.0033i | 0.919611 | − | 2.22014i | ||||
\(756\) | −24.1662 | + | 24.1662i | −0.878918 | + | 0.878918i | ||||
\(757\) | −21.8212 | + | 21.8212i | −0.793104 | + | 0.793104i | −0.981998 | − | 0.188894i | \(-0.939510\pi\) |
0.188894 | + | 0.981998i | \(0.439510\pi\) | |||||||
\(758\) | −4.92675 | + | 11.8942i | −0.178948 | + | 0.432018i | ||||
\(759\) | 6.52038 | + | 2.70083i | 0.236675 | + | 0.0980339i | ||||
\(760\) | 14.2019 | + | 34.2863i | 0.515156 | + | 1.24370i | ||||
\(761\) | − | 21.0626i | − | 0.763517i | −0.924262 | − | 0.381759i | \(-0.875319\pi\) | ||
0.924262 | − | 0.381759i | \(-0.124681\pi\) | |||||||
\(762\) | 24.4310 | − | 10.1196i | 0.885040 | − | 0.366596i | ||||
\(763\) | −10.4106 | − | 10.4106i | −0.376888 | − | 0.376888i | ||||
\(764\) | −19.7519 | −0.714597 | ||||||||
\(765\) | −87.4894 | + | 12.5147i | −3.16319 | + | 0.452468i | ||||
\(766\) | −10.5600 | −0.381550 | ||||||||
\(767\) | −30.3111 | − | 30.3111i | −1.09447 | − | 1.09447i | ||||
\(768\) | −46.6291 | + | 19.3144i | −1.68258 | + | 0.696949i | ||||
\(769\) | − | 14.1304i | − | 0.509556i | −0.967000 | − | 0.254778i | \(-0.917998\pi\) | ||
0.967000 | − | 0.254778i | \(-0.0820023\pi\) | |||||||
\(770\) | 0.870599 | + | 2.10181i | 0.0313742 | + | 0.0757441i | ||||
\(771\) | 52.2949 | + | 21.6613i | 1.88336 | + | 0.780112i | ||||
\(772\) | 7.33068 | − | 17.6978i | 0.263837 | − | 0.636959i | ||||
\(773\) | 4.80239 | − | 4.80239i | 0.172730 | − | 0.172730i | −0.615448 | − | 0.788178i | \(-0.711025\pi\) |
0.788178 | + | 0.615448i | \(0.211025\pi\) | |||||||
\(774\) | 4.20713 | − | 4.20713i | 0.151222 | − | 0.151222i | ||||
\(775\) | 17.4075 | − | 42.0254i | 0.625296 | − | 1.50960i | ||||
\(776\) | 24.6673 | + | 10.2175i | 0.885505 | + | 0.366788i | ||||
\(777\) | 25.2385 | + | 60.9311i | 0.905426 | + | 2.18589i | ||||
\(778\) | 8.88531i | 0.318554i | ||||||||
\(779\) | 31.3347 | − | 12.9793i | 1.12268 | − | 0.465031i | ||||
\(780\) | −46.6992 | − | 46.6992i | −1.67210 | − | 1.67210i | ||||
\(781\) | 2.55025 | 0.0912552 | ||||||||
\(782\) | −19.6221 | − | 14.7110i | −0.701685 | − | 0.526065i | ||||
\(783\) | 39.8760 | 1.42505 | ||||||||
\(784\) | 0.0641403 | + | 0.0641403i | 0.00229072 | + | 0.00229072i | ||||
\(785\) | 3.83210 | − | 1.58731i | 0.136773 | − | 0.0566534i | ||||
\(786\) | − | 29.3121i | − | 1.04553i | ||||||
\(787\) | 17.2753 | + | 41.7063i | 0.615798 | + | 1.48667i | 0.856541 | + | 0.516079i | \(0.172609\pi\) |
−0.240743 | + | 0.970589i | \(0.577391\pi\) | |||||||
\(788\) | −16.5159 | − | 6.84111i | −0.588354 | − | 0.243704i | ||||
\(789\) | −18.3501 | + | 44.3010i | −0.653280 | + | 1.57716i | ||||
\(790\) | 0.604354 | − | 0.604354i | 0.0215019 | − | 0.0215019i | ||||
\(791\) | 4.62969 | − | 4.62969i | 0.164613 | − | 0.164613i | ||||
\(792\) | −2.46325 | + | 5.94681i | −0.0875277 | + | 0.211311i | ||||
\(793\) | −49.6585 | − | 20.5692i | −1.76342 | − | 0.730434i | ||||
\(794\) | 8.72094 | + | 21.0542i | 0.309495 | + | 0.747186i | ||||
\(795\) | − | 94.7528i | − | 3.36054i | ||||||
\(796\) | 7.44888 | − | 3.08543i | 0.264018 | − | 0.109360i | ||||
\(797\) | 16.3821 | + | 16.3821i | 0.580283 | + | 0.580283i | 0.934981 | − | 0.354698i | \(-0.115416\pi\) |
−0.354698 | + | 0.934981i | \(0.615416\pi\) | |||||||
\(798\) | −27.1893 | −0.962489 | ||||||||
\(799\) | −9.21977 | − | 15.5647i | −0.326172 | − | 0.550639i | ||||
\(800\) | −28.8682 | −1.02064 | ||||||||
\(801\) | 7.18646 | + | 7.18646i | 0.253921 | + | 0.253921i | ||||
\(802\) | −11.4436 | + | 4.74009i | −0.404087 | + | 0.167378i | ||||
\(803\) | − | 3.35082i | − | 0.118248i | ||||||
\(804\) | 2.71108 | + | 6.54512i | 0.0956123 | + | 0.230829i | ||||
\(805\) | −47.6452 | − | 19.7353i | −1.67927 | − | 0.695577i | ||||
\(806\) | −16.3399 | + | 39.4481i | −0.575549 | + | 1.38950i | ||||
\(807\) | −41.0072 | + | 41.0072i | −1.44352 | + | 1.44352i | ||||
\(808\) | 16.9560 | − | 16.9560i | 0.596511 | − | 0.596511i | ||||
\(809\) | −6.97793 | + | 16.8462i | −0.245331 | + | 0.592281i | −0.997796 | − | 0.0663505i | \(-0.978864\pi\) |
0.752465 | + | 0.658632i | \(0.228864\pi\) | |||||||
\(810\) | 41.9413 | + | 17.3727i | 1.47367 | + | 0.610414i | ||||
\(811\) | 13.9622 | + | 33.7077i | 0.490278 | + | 1.18364i | 0.954579 | + | 0.297959i | \(0.0963059\pi\) |
−0.464300 | + | 0.885678i | \(0.653694\pi\) | |||||||
\(812\) | − | 10.0452i | − | 0.352516i | ||||||
\(813\) | −24.8139 | + | 10.2783i | −0.870263 | + | 0.360475i | ||||
\(814\) | 1.84440 | + | 1.84440i | 0.0646462 | + | 0.0646462i | ||||
\(815\) | 26.0987 | 0.914196 | ||||||||
\(816\) | 0.579258 | − | 0.772636i | 0.0202781 | − | 0.0270477i | ||||
\(817\) | −4.09824 | −0.143379 | ||||||||
\(818\) | 7.80365 | + | 7.80365i | 0.272848 | + | 0.272848i | ||||
\(819\) | 81.6527 | − | 33.8217i | 2.85318 | − | 1.18182i | ||||
\(820\) | 32.1210i | 1.12171i | ||||||||
\(821\) | 4.01459 | + | 9.69209i | 0.140110 | + | 0.338256i | 0.978322 | − | 0.207088i | \(-0.0663988\pi\) |
−0.838212 | + | 0.545345i | \(0.816399\pi\) | |||||||
\(822\) | 49.6277 | + | 20.5564i | 1.73096 | + | 0.716988i | ||||
\(823\) | −9.03353 | + | 21.8089i | −0.314889 | + | 0.760210i | 0.684621 | + | 0.728900i | \(0.259968\pi\) |
−0.999510 | + | 0.0313101i | \(0.990032\pi\) | |||||||
\(824\) | 0.803691 | − | 0.803691i | 0.0279979 | − | 0.0279979i | ||||
\(825\) | −3.80630 | + | 3.80630i | −0.132518 | + | 0.132518i | ||||
\(826\) | 6.39598 | − | 15.4413i | 0.222545 | − | 0.537271i | ||||
\(827\) | 2.63746 | + | 1.09247i | 0.0917136 | + | 0.0379890i | 0.428069 | − | 0.903746i | \(-0.359194\pi\) |
−0.336355 | + | 0.941735i | \(0.609194\pi\) | |||||||
\(828\) | −21.1478 | − | 51.0552i | −0.734935 | − | 1.77429i | ||||
\(829\) | − | 7.66903i | − | 0.266356i | −0.991092 | − | 0.133178i | \(-0.957482\pi\) | ||
0.991092 | − | 0.133178i | \(-0.0425182\pi\) | |||||||
\(830\) | 28.3012 | − | 11.7227i | 0.982349 | − | 0.406902i | ||||
\(831\) | 14.5664 | + | 14.5664i | 0.505304 | + | 0.505304i | ||||
\(832\) | 27.9166 | 0.967834 | ||||||||
\(833\) | 4.82633 | + | 1.23556i | 0.167222 | + | 0.0428095i | ||||
\(834\) | −34.7600 | −1.20364 | ||||||||
\(835\) | −34.1685 | − | 34.1685i | −1.18245 | − | 1.18245i | ||||
\(836\) | 1.55135 | − | 0.642592i | 0.0536547 | − | 0.0222245i | ||||
\(837\) | 103.197i | 3.56702i | ||||||||
\(838\) | −1.50150 | − | 3.62495i | −0.0518686 | − | 0.125222i | ||||
\(839\) | −43.5084 | − | 18.0218i | −1.50208 | − | 0.622180i | −0.528172 | − | 0.849138i | \(-0.677122\pi\) |
−0.973905 | + | 0.226957i | \(0.927122\pi\) | |||||||
\(840\) | 26.0186 | − | 62.8145i | 0.897727 | − | 2.16730i | ||||
\(841\) | 12.2185 | − | 12.2185i | 0.421327 | − | 0.421327i | ||||
\(842\) | 4.48411 | − | 4.48411i | 0.154533 | − | 0.154533i | ||||
\(843\) | −17.2529 | + | 41.6521i | −0.594221 | + | 1.43458i | ||||
\(844\) | −4.06756 | − | 1.68484i | −0.140011 | − | 0.0579946i | ||||
\(845\) | 20.4010 | + | 49.2525i | 0.701817 | + | 1.69434i | ||||
\(846\) | 26.1051i | 0.897511i | ||||||||
\(847\) | −24.2063 | + | 10.0266i | −0.831739 | + | 0.344518i | ||||
\(848\) | 0.506430 | + | 0.506430i | 0.0173909 | + | 0.0173909i | ||||
\(849\) | −25.0551 | −0.859890 | ||||||||
\(850\) | 16.0934 | − | 9.53298i | 0.552000 | − | 0.326979i | ||||
\(851\) | −59.1283 | −2.02689 | ||||||||
\(852\) | −20.4110 | − | 20.4110i | −0.699270 | − | 0.699270i | ||||
\(853\) | −17.6180 | + | 7.29762i | −0.603229 | + | 0.249866i | −0.663330 | − | 0.748327i | \(-0.730858\pi\) |
0.0601015 | + | 0.998192i | \(0.480858\pi\) | |||||||
\(854\) | − | 20.9570i | − | 0.717133i | ||||||
\(855\) | −33.6175 | − | 81.1599i | −1.14970 | − | 2.77561i | ||||
\(856\) | 21.9598 | + | 9.09605i | 0.750571 | + | 0.310897i | ||||
\(857\) | 5.22687 | − | 12.6188i | 0.178547 | − | 0.431049i | −0.809116 | − | 0.587650i | \(-0.800053\pi\) |
0.987662 | + | 0.156600i | \(0.0500534\pi\) | |||||||
\(858\) | 3.57287 | − | 3.57287i | 0.121976 | − | 0.121976i | ||||
\(859\) | 11.3842 | − | 11.3842i | 0.388424 | − | 0.388424i | −0.485701 | − | 0.874125i | \(-0.661436\pi\) |
0.874125 | + | 0.485701i | \(0.161436\pi\) | |||||||
\(860\) | 1.48530 | − | 3.58584i | 0.0506484 | − | 0.122276i | ||||
\(861\) | −57.4070 | − | 23.7787i | −1.95642 | − | 0.810377i | ||||
\(862\) | 4.25951 | + | 10.2834i | 0.145079 | + | 0.350253i | ||||
\(863\) | − | 49.6163i | − | 1.68896i | −0.535587 | − | 0.844480i | \(-0.679910\pi\) | ||
0.535587 | − | 0.844480i | \(-0.320090\pi\) | |||||||
\(864\) | 60.5072 | − | 25.0629i | 2.05850 | − | 0.852657i | ||||
\(865\) | 1.16626 | + | 1.16626i | 0.0396541 | + | 0.0396541i | ||||
\(866\) | −19.7527 | −0.671225 | ||||||||
\(867\) | 5.74553 | − | 52.7252i | 0.195128 | − | 1.79064i | ||||
\(868\) | 25.9964 | 0.882375 | ||||||||
\(869\) | −0.0722022 | − | 0.0722022i | −0.00244929 | − | 0.00244929i | ||||
\(870\) | −27.7574 | + | 11.4975i | −0.941064 | + | 0.389801i | ||||
\(871\) | − | 10.1579i | − | 0.344188i | ||||||
\(872\) | 6.65951 | + | 16.0775i | 0.225519 | + | 0.544452i | ||||
\(873\) | −58.3905 | − | 24.1862i | −1.97622 | − | 0.818577i | ||||
\(874\) | 9.32844 | − | 22.5208i | 0.315539 | − | 0.761779i | ||||
\(875\) | 0.726689 | − | 0.726689i | 0.0245666 | − | 0.0245666i | ||||
\(876\) | −26.8184 | + | 26.8184i | −0.906109 | + | 0.906109i | ||||
\(877\) | −6.09712 | + | 14.7198i | −0.205885 | + | 0.497051i | −0.992768 | − | 0.120052i | \(-0.961694\pi\) |
0.786882 | + | 0.617103i | \(0.211694\pi\) | |||||||
\(878\) | 24.7277 | + | 10.2426i | 0.834520 | + | 0.345670i | ||||
\(879\) | 30.6639 | + | 74.0291i | 1.03427 | + | 2.49694i | ||||
\(880\) | − | 0.0803118i | − | 0.00270731i | ||||||
\(881\) | 48.7359 | − | 20.1871i | 1.64195 | − | 0.680119i | 0.645460 | − | 0.763794i | \(-0.276666\pi\) |
0.996493 | + | 0.0836748i | \(0.0266657\pi\) | |||||||
\(882\) | −5.08350 | − | 5.08350i | −0.171170 | − | 0.171170i | ||||
\(883\) | −0.453187 | −0.0152510 | −0.00762548 | − | 0.999971i | \(-0.502427\pi\) | ||||
−0.00762548 | + | 0.999971i | \(0.502427\pi\) | |||||||
\(884\) | 23.5892 | − | 13.9731i | 0.793392 | − | 0.469967i | ||||
\(885\) | 78.0596 | 2.62395 | ||||||||
\(886\) | −15.8394 | − | 15.8394i | −0.532137 | − | 0.532137i | ||||
\(887\) | −4.27590 | + | 1.77113i | −0.143571 | + | 0.0594689i | −0.453312 | − | 0.891352i | \(-0.649758\pi\) |
0.309741 | + | 0.950821i | \(0.399758\pi\) | |||||||
\(888\) | − | 77.9536i | − | 2.61595i | ||||||
\(889\) | 8.83426 | + | 21.3278i | 0.296292 | + | 0.715311i | ||||
\(890\) | −3.92255 | − | 1.62477i | −0.131484 | − | 0.0544625i | ||||
\(891\) | 2.07551 | − | 5.01074i | 0.0695324 | − | 0.167866i | ||||
\(892\) | 24.6961 | − | 24.6961i | 0.826888 | − | 0.826888i | ||||
\(893\) | 12.7147 | − | 12.7147i | 0.425481 | − | 0.425481i | ||||
\(894\) | 7.10812 | − | 17.1605i | 0.237731 | − | 0.573934i | ||||
\(895\) | 32.5092 | + | 13.4657i | 1.08666 | + | 0.450110i | ||||
\(896\) | −6.19140 | − | 14.9474i | −0.206840 | − | 0.499356i | ||||
\(897\) | 114.540i | 3.82438i | ||||||||
\(898\) | −3.85073 | + | 1.59502i | −0.128500 | + | 0.0532266i | ||||
\(899\) | −21.4480 | − | 21.4480i | −0.715330 | − | 0.715330i | ||||
\(900\) | 42.1488 | 1.40496 | ||||||||
\(901\) | 38.1071 | + | 9.75555i | 1.26953 | + | 0.325005i | ||||
\(902\) | −2.45751 | −0.0818262 | ||||||||
\(903\) | 5.30910 | + | 5.30910i | 0.176676 | + | 0.176676i | ||||
\(904\) | −7.14982 | + | 2.96155i | −0.237799 | + | 0.0984998i | ||||
\(905\) | 47.2179i | 1.56958i | ||||||||
\(906\) | −21.8817 | − | 52.8272i | −0.726972 | − | 1.75507i | ||||
\(907\) | 7.46823 | + | 3.09344i | 0.247978 | + | 0.102716i | 0.503211 | − | 0.864164i | \(-0.332152\pi\) |
−0.255232 | + | 0.966880i | \(0.582152\pi\) | |||||||
\(908\) | −2.97221 | + | 7.17555i | −0.0986363 | + | 0.238129i | ||||
\(909\) | −40.1370 | + | 40.1370i | −1.33126 | + | 1.33126i | ||||
\(910\) | −26.1073 | + | 26.1073i | −0.865450 | + | 0.865450i | ||||
\(911\) | −3.75144 | + | 9.05677i | −0.124291 | + | 0.300064i | −0.973761 | − | 0.227572i | \(-0.926921\pi\) |
0.849471 | + | 0.527636i | \(0.176921\pi\) | |||||||
\(912\) | 0.886775 | + | 0.367314i | 0.0293641 | + | 0.0121630i | ||||
\(913\) | −1.40052 | − | 3.38115i | −0.0463504 | − | 0.111900i | ||||
\(914\) | − | 22.4392i | − | 0.742222i | ||||||
\(915\) | 90.4280 | − | 37.4565i | 2.98946 | − | 1.23827i | ||||
\(916\) | 9.33764 | + | 9.33764i | 0.308524 | + | 0.308524i | ||||
\(917\) | 25.5889 | 0.845021 | ||||||||
\(918\) | −25.4551 | + | 33.9530i | −0.840145 | + | 1.12062i | ||||
\(919\) | 41.4778 | 1.36823 | 0.684114 | − | 0.729375i | \(-0.260189\pi\) | ||||
0.684114 | + | 0.729375i | \(0.260189\pi\) | |||||||
\(920\) | 43.1024 | + | 43.1024i | 1.42104 | + | 1.42104i | ||||
\(921\) | −79.8098 | + | 33.0583i | −2.62982 | + | 1.08931i | ||||
\(922\) | 31.4236i | 1.03488i | ||||||||
\(923\) | 15.8388 | + | 38.2382i | 0.521340 | + | 1.25863i | ||||
\(924\) | −2.84217 | − | 1.17726i | −0.0935005 | − | 0.0387292i | ||||
\(925\) | 17.2582 | − | 41.6650i | 0.567446 | − | 1.36994i | ||||
\(926\) | 12.3183 | − | 12.3183i | 0.404805 | − | 0.404805i | ||||
\(927\) | −1.90243 | + | 1.90243i | −0.0624841 | + | 0.0624841i | ||||
\(928\) | −7.36654 | + | 17.7844i | −0.241819 | + | 0.583802i | ||||
\(929\) | 54.4376 | + | 22.5488i | 1.78604 | + | 0.739802i | 0.991101 | + | 0.133115i | \(0.0424980\pi\) |
0.794940 | + | 0.606687i | \(0.207502\pi\) | |||||||
\(930\) | −29.7550 | − | 71.8349i | −0.975704 | − | 2.35556i | ||||
\(931\) | 4.95193i | 0.162293i | ||||||||
\(932\) | −15.4470 | + | 6.39836i | −0.505984 | + | 0.209585i | ||||
\(933\) | −3.26445 | − | 3.26445i | −0.106873 | − | 0.106873i | ||||
\(934\) | −7.59707 | −0.248584 | ||||||||
\(935\) | −2.24805 | − | 3.79513i | −0.0735193 | − | 0.124114i | ||||
\(936\) | −104.464 | −3.41452 | ||||||||
\(937\) | 24.1077 | + | 24.1077i | 0.787564 | + | 0.787564i | 0.981094 | − | 0.193530i | \(-0.0619938\pi\) |
−0.193530 | + | 0.981094i | \(0.561994\pi\) | |||||||
\(938\) | 3.65907 | − | 1.51564i | 0.119473 | − | 0.0494873i | ||||
\(939\) | 75.6320i | 2.46816i | ||||||||
\(940\) | 6.51687 | + | 15.7331i | 0.212557 | + | 0.513157i | ||||
\(941\) | 26.0015 | + | 10.7702i | 0.847626 | + | 0.351098i | 0.763856 | − | 0.645387i | \(-0.223304\pi\) |
0.0837702 | + | 0.996485i | \(0.473304\pi\) | |||||||
\(942\) | 1.37456 | − | 3.31849i | 0.0447857 | − | 0.108122i | ||||
\(943\) | 39.3918 | − | 39.3918i | 1.28277 | − | 1.28277i | ||||
\(944\) | −0.417209 | + | 0.417209i | −0.0135790 | + | 0.0135790i | ||||
\(945\) | −34.1488 | + | 82.4426i | −1.11086 | + | 2.68186i | ||||
\(946\) | 0.274345 | + | 0.113638i | 0.00891974 | + | 0.00369468i | ||||
\(947\) | 18.9200 | + | 45.6768i | 0.614816 | + | 1.48430i | 0.857652 | + | 0.514230i | \(0.171922\pi\) |
−0.242836 | + | 0.970067i | \(0.578078\pi\) | |||||||
\(948\) | 1.15574i | 0.0375368i | ||||||||
\(949\) | 50.2418 | − | 20.8108i | 1.63092 | − | 0.675549i | ||||
\(950\) | 13.1466 | + | 13.1466i | 0.426533 | + | 0.426533i | ||||
\(951\) | 32.2462 | 1.04565 | ||||||||
\(952\) | 22.5835 | + | 16.9312i | 0.731936 | + | 0.548745i | ||||
\(953\) | 40.8578 | 1.32351 | 0.661757 | − | 0.749718i | \(-0.269811\pi\) | ||||
0.661757 | + | 0.749718i | \(0.269811\pi\) | |||||||
\(954\) | −40.1376 | − | 40.1376i | −1.29950 | − | 1.29950i | ||||
\(955\) | −47.6470 | + | 19.7360i | −1.54182 | + | 0.638643i | ||||
\(956\) | − | 26.6375i | − | 0.861518i | ||||||
\(957\) | 1.37361 | + | 3.31618i | 0.0444024 | + | 0.107197i | ||||
\(958\) | 1.87874 | + | 0.778199i | 0.0606993 | + | 0.0251425i | ||||
\(959\) | −17.9454 | + | 43.3240i | −0.579487 | + | 1.39901i | ||||
\(960\) | −35.9466 | + | 35.9466i | −1.16017 | + | 1.16017i | ||||
\(961\) | 33.5860 | − | 33.5860i | 1.08342 | − | 1.08342i | ||||
\(962\) | −16.1998 | + | 39.1097i | −0.522302 | + | 1.26095i | ||||
\(963\) | −51.9815 | − | 21.5315i | −1.67508 | − | 0.693842i | ||||
\(964\) | −11.0905 | − | 26.7748i | −0.357200 | − | 0.862357i | ||||
\(965\) | − | 50.0169i | − | 1.61010i | ||||||
\(966\) | −41.2594 | + | 17.0902i | −1.32750 | + | 0.549869i | ||||
\(967\) | 26.1838 | + | 26.1838i | 0.842013 | + | 0.842013i | 0.989120 | − | 0.147108i | \(-0.0469964\pi\) |
−0.147108 | + | 0.989120i | \(0.546996\pi\) | |||||||
\(968\) | 30.9689 | 0.995379 | ||||||||
\(969\) | 52.1862 | − | 7.46482i | 1.67646 | − | 0.239804i | ||||
\(970\) | 26.4028 | 0.847742 | ||||||||
\(971\) | −19.1226 | − | 19.1226i | −0.613675 | − | 0.613675i | 0.330227 | − | 0.943902i | \(-0.392875\pi\) |
−0.943902 | + | 0.330227i | \(0.892875\pi\) | |||||||
\(972\) | −17.3548 | + | 7.18859i | −0.556655 | + | 0.230574i | ||||
\(973\) | − | 30.3448i | − | 0.972810i | ||||||
\(974\) | 14.0279 | + | 33.8664i | 0.449483 | + | 1.08515i | ||||
\(975\) | −80.7110 | − | 33.4316i | −2.58482 | − | 1.07067i | ||||
\(976\) | −0.283119 | + | 0.683510i | −0.00906243 | + | 0.0218786i | ||||
\(977\) | −43.4258 | + | 43.4258i | −1.38931 | + | 1.38931i | −0.562554 | + | 0.826761i | \(0.690181\pi\) |
−0.826761 | + | 0.562554i | \(0.809819\pi\) | |||||||
\(978\) | 15.9811 | − | 15.9811i | 0.511020 | − | 0.511020i | ||||
\(979\) | −0.194112 | + | 0.468627i | −0.00620383 | + | 0.0149774i | ||||
\(980\) | −4.33279 | − | 1.79470i | −0.138406 | − | 0.0573296i | ||||
\(981\) | −15.7639 | − | 38.0573i | −0.503301 | − | 1.21508i | ||||
\(982\) | − | 9.50041i | − | 0.303170i | ||||||
\(983\) | −12.6539 | + | 5.24142i | −0.403597 | + | 0.167175i | −0.575241 | − | 0.817984i | \(-0.695092\pi\) |
0.171645 | + | 0.985159i | \(0.445092\pi\) | |||||||
\(984\) | 51.9334 | + | 51.9334i | 1.65558 | + | 1.65558i | ||||
\(985\) | −46.6765 | −1.48724 | ||||||||
\(986\) | −1.76615 | − | 12.3471i | −0.0562455 | − | 0.393210i | ||||
\(987\) | −32.9427 | −1.04858 | ||||||||
\(988\) | 19.2699 | + | 19.2699i | 0.613058 | + | 0.613058i | ||||
\(989\) | −6.21903 | + | 2.57601i | −0.197754 | + | 0.0819123i | ||||
\(990\) | 6.36519i | 0.202299i | ||||||||
\(991\) | 2.59660 | + | 6.26874i | 0.0824836 | + | 0.199133i | 0.959741 | − | 0.280888i | \(-0.0906290\pi\) |
−0.877257 | + | 0.480021i | \(0.840629\pi\) | |||||||
\(992\) | −46.0252 | − | 19.0643i | −1.46130 | − | 0.605291i | ||||
\(993\) | −23.1749 | + | 55.9492i | −0.735434 | + | 1.77550i | ||||
\(994\) | −11.4109 | + | 11.4109i | −0.361930 | + | 0.361930i | ||||
\(995\) | 14.8858 | − | 14.8858i | 0.471912 | − | 0.471912i | ||||
\(996\) | −15.8520 | + | 38.2702i | −0.502291 | + | 1.21264i | ||||
\(997\) | 35.9963 | + | 14.9102i | 1.14002 | + | 0.472210i | 0.871174 | − | 0.490975i | \(-0.163359\pi\) |
0.268841 | + | 0.963184i | \(0.413359\pi\) | |||||||
\(998\) | −7.45197 | − | 17.9906i | −0.235888 | − | 0.569484i | ||||
\(999\) | 102.312i | 3.23702i |
(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 | 731.2.m.c.87.11 | ✓ | 128 | |
17.9 | even | 8 | inner | 731.2.m.c.689.11 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.m.c.87.11 | ✓ | 128 | 1.1 | even | 1 | trivial | |
731.2.m.c.689.11 | yes | 128 | 17.9 | even | 8 | inner |