Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(84,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.84");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.n (of order \(6\), degree \(2\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 84.17 | ||
Character | \(\chi\) | \(=\) | 185.84 |
Dual form | 185.2.n.a.174.17 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.99875 | + | 1.15398i | 1.41333 | + | 0.815986i | 0.995701 | − | 0.0926310i | \(-0.0295277\pi\) |
0.417629 | + | 0.908617i | \(0.362861\pi\) | |||||||
\(3\) | 1.81123 | − | 1.04571i | 1.04571 | − | 0.603742i | 0.124266 | − | 0.992249i | \(-0.460342\pi\) |
0.921446 | + | 0.388507i | \(0.127009\pi\) | |||||||
\(4\) | 1.66334 | + | 2.88098i | 0.831668 | + | 1.44049i | ||||
\(5\) | −1.88979 | − | 1.19529i | −0.845138 | − | 0.534548i | ||||
\(6\) | 4.82692 | 1.97058 | ||||||||
\(7\) | −3.28655 | + | 1.89749i | −1.24220 | + | 0.717183i | −0.969541 | − | 0.244928i | \(-0.921236\pi\) |
−0.272657 | + | 0.962111i | \(0.587902\pi\) | |||||||
\(8\) | 3.06190i | 1.08255i | ||||||||
\(9\) | 0.687027 | − | 1.18997i | 0.229009 | − | 0.396655i | ||||
\(10\) | −2.39787 | − | 4.56985i | −0.758275 | − | 1.44511i | ||||
\(11\) | −3.98792 | −1.20240 | −0.601202 | − | 0.799097i | \(-0.705311\pi\) | ||||
−0.601202 | + | 0.799097i | \(0.705311\pi\) | |||||||
\(12\) | 6.02535 | + | 3.47874i | 1.73937 | + | 1.00423i | ||||
\(13\) | 5.14127 | − | 2.96831i | 1.42593 | − | 0.823261i | 0.429134 | − | 0.903241i | \(-0.358819\pi\) |
0.996797 | + | 0.0799795i | \(0.0254855\pi\) | |||||||
\(14\) | −8.75865 | −2.34085 | ||||||||
\(15\) | −4.67275 | − | 0.188762i | −1.20650 | − | 0.0487382i | ||||
\(16\) | −0.206698 | + | 0.358012i | −0.0516746 | + | 0.0895031i | ||||
\(17\) | 2.60081 | + | 1.50158i | 0.630789 | + | 0.364186i | 0.781057 | − | 0.624459i | \(-0.214681\pi\) |
−0.150269 | + | 0.988645i | \(0.548014\pi\) | |||||||
\(18\) | 2.74639 | − | 1.58563i | 0.647331 | − | 0.373736i | ||||
\(19\) | −0.477453 | − | 0.826973i | −0.109535 | − | 0.189721i | 0.806047 | − | 0.591852i | \(-0.201603\pi\) |
−0.915582 | + | 0.402131i | \(0.868270\pi\) | |||||||
\(20\) | 0.300250 | − | 7.43260i | 0.0671379 | − | 1.66198i | ||||
\(21\) | −3.96845 | + | 6.87356i | −0.865987 | + | 1.49993i | ||||
\(22\) | −7.97086 | − | 4.60198i | −1.69939 | − | 0.981145i | ||||
\(23\) | 0.297301i | 0.0619915i | 0.999520 | + | 0.0309958i | \(0.00986784\pi\) | ||||
−0.999520 | + | 0.0309958i | \(0.990132\pi\) | |||||||
\(24\) | 3.20187 | + | 5.54579i | 0.653578 | + | 1.13203i | ||||
\(25\) | 2.14258 | + | 4.51767i | 0.428516 | + | 0.903534i | ||||
\(26\) | 13.7015 | 2.68708 | ||||||||
\(27\) | 3.40054i | 0.654435i | ||||||||
\(28\) | −10.9333 | − | 6.31232i | −2.06619 | − | 1.19292i | ||||
\(29\) | −6.45700 | −1.19903 | −0.599517 | − | 0.800362i | \(-0.704641\pi\) | ||||
−0.599517 | + | 0.800362i | \(0.704641\pi\) | |||||||
\(30\) | −9.12184 | − | 5.76955i | −1.66541 | − | 1.05337i | ||||
\(31\) | −1.69659 | −0.304716 | −0.152358 | − | 0.988325i | \(-0.548687\pi\) | ||||
−0.152358 | + | 0.988325i | \(0.548687\pi\) | |||||||
\(32\) | 4.47709 | − | 2.58485i | 0.791445 | − | 0.456941i | ||||
\(33\) | −7.22303 | + | 4.17022i | −1.25737 | + | 0.725942i | ||||
\(34\) | 3.46558 | + | 6.00256i | 0.594342 | + | 1.02943i | ||||
\(35\) | 8.47891 | + | 0.342517i | 1.43320 | + | 0.0578959i | ||||
\(36\) | 4.57103 | 0.761838 | ||||||||
\(37\) | 3.31614 | − | 5.09934i | 0.545170 | − | 0.838326i | ||||
\(38\) | − | 2.20388i | − | 0.357517i | ||||||
\(39\) | 6.20800 | − | 10.7526i | 0.994075 | − | 1.72179i | ||||
\(40\) | 3.65985 | − | 5.78634i | 0.578673 | − | 0.914900i | ||||
\(41\) | 3.89586 | + | 6.74782i | 0.608430 | + | 1.05383i | 0.991499 | + | 0.130113i | \(0.0415339\pi\) |
−0.383069 | + | 0.923720i | \(0.625133\pi\) | |||||||
\(42\) | −15.8639 | + | 9.15902i | −2.44785 | + | 1.41327i | ||||
\(43\) | 4.65534i | 0.709933i | 0.934879 | + | 0.354966i | \(0.115508\pi\) | ||||
−0.934879 | + | 0.354966i | \(0.884492\pi\) | |||||||
\(44\) | −6.63325 | − | 11.4891i | −1.00000 | − | 1.73205i | ||||
\(45\) | −2.72068 | + | 1.42759i | −0.405576 | + | 0.212812i | ||||
\(46\) | −0.343079 | + | 0.594230i | −0.0505842 | + | 0.0876145i | ||||
\(47\) | 3.36817i | 0.491298i | 0.969359 | + | 0.245649i | \(0.0790010\pi\) | ||||
−0.969359 | + | 0.245649i | \(0.920999\pi\) | |||||||
\(48\) | 0.864588i | 0.124793i | ||||||||
\(49\) | 3.70092 | − | 6.41019i | 0.528704 | − | 0.915741i | ||||
\(50\) | −0.930812 | + | 11.5022i | −0.131637 | + | 1.62666i | ||||
\(51\) | 6.28087 | 0.879498 | ||||||||
\(52\) | 17.1033 | + | 9.87459i | 2.37180 | + | 1.36936i | ||||
\(53\) | −1.67257 | − | 0.965660i | −0.229745 | − | 0.132644i | 0.380709 | − | 0.924695i | \(-0.375680\pi\) |
−0.610455 | + | 0.792051i | \(0.709013\pi\) | |||||||
\(54\) | −3.92415 | + | 6.79684i | −0.534010 | + | 0.924932i | ||||
\(55\) | 7.53632 | + | 4.76671i | 1.01620 | + | 0.642743i | ||||
\(56\) | −5.80992 | − | 10.0631i | −0.776383 | − | 1.34474i | ||||
\(57\) | −1.72955 | − | 0.998557i | −0.229085 | − | 0.132262i | ||||
\(58\) | −12.9059 | − | 7.45124i | −1.69463 | − | 0.978396i | ||||
\(59\) | 2.90046 | − | 5.02375i | 0.377608 | − | 0.654036i | −0.613106 | − | 0.790001i | \(-0.710080\pi\) |
0.990714 | + | 0.135965i | \(0.0434133\pi\) | |||||||
\(60\) | −7.22854 | − | 13.7761i | −0.933200 | − | 1.77849i | ||||
\(61\) | −5.95659 | − | 10.3171i | −0.762663 | − | 1.32097i | −0.941473 | − | 0.337088i | \(-0.890558\pi\) |
0.178810 | − | 0.983884i | \(-0.442775\pi\) | |||||||
\(62\) | −3.39106 | − | 1.95783i | −0.430665 | − | 0.248645i | ||||
\(63\) | 5.21450i | 0.656966i | ||||||||
\(64\) | 12.7582 | 1.59478 | ||||||||
\(65\) | −13.2639 | − | 0.535812i | −1.64518 | − | 0.0664593i | ||||
\(66\) | −19.2494 | −2.36943 | ||||||||
\(67\) | 8.15773 | − | 4.70987i | 0.996625 | − | 0.575402i | 0.0893771 | − | 0.995998i | \(-0.471512\pi\) |
0.907248 | + | 0.420596i | \(0.138179\pi\) | |||||||
\(68\) | 9.99051i | 1.21153i | ||||||||
\(69\) | 0.310891 | + | 0.538479i | 0.0374269 | + | 0.0648253i | ||||
\(70\) | 16.5520 | + | 10.4691i | 1.97834 | + | 1.25130i | ||||
\(71\) | −6.41298 | − | 11.1076i | −0.761081 | − | 1.31823i | −0.942294 | − | 0.334787i | \(-0.891336\pi\) |
0.181213 | − | 0.983444i | \(-0.441998\pi\) | |||||||
\(72\) | 3.64356 | + | 2.10361i | 0.429397 | + | 0.247913i | ||||
\(73\) | 0.763021i | 0.0893048i | 0.999003 | + | 0.0446524i | \(0.0142180\pi\) | ||||
−0.999003 | + | 0.0446524i | \(0.985782\pi\) | |||||||
\(74\) | 12.5127 | − | 6.36555i | 1.45457 | − | 0.739980i | ||||
\(75\) | 8.60488 | + | 5.94200i | 0.993606 | + | 0.686123i | ||||
\(76\) | 1.58833 | − | 2.75107i | 0.182194 | − | 0.315569i | ||||
\(77\) | 13.1065 | − | 7.56703i | 1.49362 | − | 0.862344i | ||||
\(78\) | 24.8165 | − | 14.3278i | 2.80991 | − | 1.62230i | ||||
\(79\) | 4.90995 | + | 8.50429i | 0.552413 | + | 0.956807i | 0.998100 | + | 0.0616184i | \(0.0196262\pi\) |
−0.445687 | + | 0.895189i | \(0.647041\pi\) | |||||||
\(80\) | 0.818543 | − | 0.429503i | 0.0915159 | − | 0.0480199i | ||||
\(81\) | 5.61707 | + | 9.72905i | 0.624119 | + | 1.08101i | ||||
\(82\) | 17.9829i | 1.98588i | ||||||||
\(83\) | −13.4668 | − | 7.77505i | −1.47817 | − | 0.853422i | −0.478476 | − | 0.878101i | \(-0.658811\pi\) |
−0.999695 | + | 0.0246783i | \(0.992144\pi\) | |||||||
\(84\) | −26.4035 | −2.88085 | ||||||||
\(85\) | −3.12016 | − | 5.94637i | −0.338428 | − | 0.644974i | ||||
\(86\) | −5.37216 | + | 9.30486i | −0.579295 | + | 1.00337i | ||||
\(87\) | −11.6951 | + | 6.75216i | −1.25385 | + | 0.723908i | ||||
\(88\) | − | 12.2106i | − | 1.30166i | ||||||
\(89\) | −2.32232 | + | 4.02238i | −0.246166 | + | 0.426371i | −0.962459 | − | 0.271428i | \(-0.912504\pi\) |
0.716293 | + | 0.697799i | \(0.245837\pi\) | |||||||
\(90\) | −7.08537 | − | 0.286223i | −0.746864 | − | 0.0301706i | ||||
\(91\) | −11.2647 | + | 19.5110i | −1.18086 | + | 2.04531i | ||||
\(92\) | −0.856518 | + | 0.494511i | −0.0892982 | + | 0.0515564i | ||||
\(93\) | −3.07291 | + | 1.77414i | −0.318646 | + | 0.183970i | ||||
\(94\) | −3.88679 | + | 6.73212i | −0.400892 | + | 0.694365i | ||||
\(95\) | −0.0861854 | + | 2.13349i | −0.00884243 | + | 0.218892i | ||||
\(96\) | 5.40602 | − | 9.36349i | 0.551749 | − | 0.955658i | ||||
\(97\) | 8.16652i | 0.829184i | 0.910007 | + | 0.414592i | \(0.136076\pi\) | ||||
−0.910007 | + | 0.414592i | \(0.863924\pi\) | |||||||
\(98\) | 14.7944 | − | 8.54158i | 1.49447 | − | 0.862830i | ||||
\(99\) | −2.73981 | + | 4.74549i | −0.275361 | + | 0.476940i | ||||
\(100\) | −9.45149 | + | 13.6871i | −0.945149 | + | 1.36871i | ||||
\(101\) | 4.19509 | 0.417428 | 0.208714 | − | 0.977977i | \(-0.433072\pi\) | ||||
0.208714 | + | 0.977977i | \(0.433072\pi\) | |||||||
\(102\) | 12.5539 | + | 7.24799i | 1.24302 | + | 0.717658i | ||||
\(103\) | 14.8081i | 1.45909i | 0.683934 | + | 0.729544i | \(0.260268\pi\) | ||||
−0.683934 | + | 0.729544i | \(0.739732\pi\) | |||||||
\(104\) | 9.08867 | + | 15.7420i | 0.891218 | + | 1.54363i | ||||
\(105\) | 15.7154 | − | 8.24612i | 1.53367 | − | 0.804739i | ||||
\(106\) | −2.22870 | − | 3.86023i | −0.216471 | − | 0.374938i | ||||
\(107\) | −9.85119 | + | 5.68759i | −0.952351 | + | 0.549840i | −0.893810 | − | 0.448445i | \(-0.851978\pi\) |
−0.0585405 | + | 0.998285i | \(0.518645\pi\) | |||||||
\(108\) | −9.79690 | + | 5.65624i | −0.942707 | + | 0.544272i | ||||
\(109\) | 5.00955 | − | 8.67679i | 0.479828 | − | 0.831086i | −0.519905 | − | 0.854224i | \(-0.674033\pi\) |
0.999732 | + | 0.0231385i | \(0.00736586\pi\) | |||||||
\(110\) | 9.56254 | + | 18.2242i | 0.911752 | + | 1.73761i | ||||
\(111\) | 0.673837 | − | 12.7038i | 0.0639578 | − | 1.20579i | ||||
\(112\) | − | 1.56883i | − | 0.148241i | ||||||
\(113\) | 5.15467 | + | 2.97605i | 0.484911 | + | 0.279963i | 0.722461 | − | 0.691412i | \(-0.243011\pi\) |
−0.237550 | + | 0.971375i | \(0.576344\pi\) | |||||||
\(114\) | −2.30463 | − | 3.99173i | −0.215848 | − | 0.373860i | ||||
\(115\) | 0.355360 | − | 0.561835i | 0.0331375 | − | 0.0523914i | ||||
\(116\) | −10.7402 | − | 18.6025i | −0.997199 | − | 1.72720i | ||||
\(117\) | − | 8.15724i | − | 0.754137i | ||||||
\(118\) | 11.5946 | − | 6.69415i | 1.06737 | − | 0.616246i | ||||
\(119\) | −11.3969 | −1.04475 | ||||||||
\(120\) | 0.577971 | − | 14.3075i | 0.0527613 | − | 1.30609i | ||||
\(121\) | 4.90351 | 0.445774 | ||||||||
\(122\) | − | 27.4951i | − | 2.48929i | ||||||
\(123\) | 14.1126 | + | 8.14789i | 1.27249 | + | 0.734670i | ||||
\(124\) | −2.82200 | − | 4.88784i | −0.253423 | − | 0.438941i | ||||
\(125\) | 1.35089 | − | 11.0984i | 0.120827 | − | 0.992674i | ||||
\(126\) | −6.01743 | + | 10.4225i | −0.536075 | + | 0.928509i | ||||
\(127\) | −5.34788 | − | 3.08760i | −0.474548 | − | 0.273980i | 0.243594 | − | 0.969877i | \(-0.421674\pi\) |
−0.718141 | + | 0.695897i | \(0.755007\pi\) | |||||||
\(128\) | 16.5464 | + | 9.55305i | 1.46251 | + | 0.844378i | ||||
\(129\) | 4.86814 | + | 8.43187i | 0.428616 | + | 0.742385i | ||||
\(130\) | −25.8929 | − | 16.3772i | −2.27095 | − | 1.43637i | ||||
\(131\) | −1.97389 | + | 3.41888i | −0.172460 | + | 0.298709i | −0.939279 | − | 0.343154i | \(-0.888505\pi\) |
0.766820 | + | 0.641863i | \(0.221838\pi\) | |||||||
\(132\) | −24.0286 | − | 13.8729i | −2.09142 | − | 1.20748i | ||||
\(133\) | 3.13834 | + | 1.81192i | 0.272129 | + | 0.157114i | ||||
\(134\) | 21.7403 | 1.87808 | ||||||||
\(135\) | 4.06462 | − | 6.42630i | 0.349827 | − | 0.553088i | ||||
\(136\) | −4.59768 | + | 7.96342i | −0.394248 | + | 0.682857i | ||||
\(137\) | − | 6.00183i | − | 0.512771i | −0.966575 | − | 0.256385i | \(-0.917468\pi\) | ||
0.966575 | − | 0.256385i | \(-0.0825316\pi\) | |||||||
\(138\) | 1.43505i | 0.122159i | ||||||||
\(139\) | 3.42718 | − | 5.93605i | 0.290690 | − | 0.503489i | −0.683283 | − | 0.730153i | \(-0.739449\pi\) |
0.973973 | + | 0.226664i | \(0.0727819\pi\) | |||||||
\(140\) | 13.1165 | + | 24.9973i | 1.10855 | + | 2.11266i | ||||
\(141\) | 3.52213 | + | 6.10051i | 0.296617 | + | 0.513756i | ||||
\(142\) | − | 29.6018i | − | 2.48413i | ||||||
\(143\) | −20.5030 | + | 11.8374i | −1.71454 | + | 0.989892i | ||||
\(144\) | 0.284015 | + | 0.491928i | 0.0236679 | + | 0.0409940i | ||||
\(145\) | 12.2023 | + | 7.71796i | 1.01335 | + | 0.640942i | ||||
\(146\) | −0.880510 | + | 1.52509i | −0.0728715 | + | 0.126217i | ||||
\(147\) | − | 15.4804i | − | 1.27680i | ||||||
\(148\) | 20.2069 | + | 1.07182i | 1.66100 | + | 0.0881032i | ||||
\(149\) | −16.1859 | −1.32600 | −0.663001 | − | 0.748618i | \(-0.730718\pi\) | ||||
−0.663001 | + | 0.748618i | \(0.730718\pi\) | |||||||
\(150\) | 10.3421 | + | 21.8064i | 0.844426 | + | 1.78049i | ||||
\(151\) | −5.33153 | − | 9.23448i | −0.433874 | − | 0.751491i | 0.563329 | − | 0.826233i | \(-0.309520\pi\) |
−0.997203 | + | 0.0747411i | \(0.976187\pi\) | |||||||
\(152\) | 2.53211 | − | 1.46191i | 0.205381 | − | 0.118577i | ||||
\(153\) | 3.57365 | − | 2.06325i | 0.288913 | − | 0.166804i | ||||
\(154\) | 34.9288 | 2.81464 | ||||||||
\(155\) | 3.20619 | + | 2.02791i | 0.257527 | + | 0.162886i | ||||
\(156\) | 41.3039 | 3.30696 | ||||||||
\(157\) | 8.41129 | + | 4.85626i | 0.671294 | + | 0.387572i | 0.796567 | − | 0.604551i | \(-0.206647\pi\) |
−0.125273 | + | 0.992122i | \(0.539981\pi\) | |||||||
\(158\) | 22.6639i | 1.80305i | ||||||||
\(159\) | −4.03921 | −0.320330 | ||||||||
\(160\) | −11.5504 | − | 0.466593i | −0.913137 | − | 0.0368874i | ||||
\(161\) | −0.564125 | − | 0.977093i | −0.0444593 | − | 0.0770057i | ||||
\(162\) | 25.9279i | 2.03709i | ||||||||
\(163\) | −1.02622 | − | 0.592488i | −0.0803798 | − | 0.0464073i | 0.459271 | − | 0.888296i | \(-0.348111\pi\) |
−0.539651 | + | 0.841889i | \(0.681444\pi\) | |||||||
\(164\) | −12.9602 | + | 22.4478i | −1.01202 | + | 1.75288i | ||||
\(165\) | 18.6346 | + | 0.752769i | 1.45070 | + | 0.0586030i | ||||
\(166\) | −17.9445 | − | 31.0808i | −1.39276 | − | 2.41234i | ||||
\(167\) | 1.09916 | − | 0.634600i | 0.0850555 | − | 0.0491068i | −0.456869 | − | 0.889534i | \(-0.651029\pi\) |
0.541924 | + | 0.840427i | \(0.317696\pi\) | |||||||
\(168\) | −21.0462 | − | 12.1510i | −1.62375 | − | 0.937471i | ||||
\(169\) | 11.1217 | − | 19.2634i | 0.855518 | − | 1.48180i | ||||
\(170\) | 0.625574 | − | 15.4859i | 0.0479793 | − | 1.18771i | ||||
\(171\) | −1.31209 | −0.100338 | ||||||||
\(172\) | −13.4119 | + | 7.74339i | −1.02265 | + | 0.590428i | ||||
\(173\) | −9.26896 | − | 5.35144i | −0.704706 | − | 0.406862i | 0.104392 | − | 0.994536i | \(-0.466710\pi\) |
−0.809098 | + | 0.587674i | \(0.800044\pi\) | |||||||
\(174\) | −31.1674 | −2.36280 | ||||||||
\(175\) | −15.6139 | − | 10.7820i | −1.18030 | − | 0.815043i | ||||
\(176\) | 0.824297 | − | 1.42772i | 0.0621337 | − | 0.107619i | ||||
\(177\) | − | 12.1322i | − | 0.911912i | ||||||
\(178\) | −9.28348 | + | 5.35982i | −0.695826 | + | 0.401735i | ||||
\(179\) | 7.86907 | 0.588162 | 0.294081 | − | 0.955781i | \(-0.404986\pi\) | ||||
0.294081 | + | 0.955781i | \(0.404986\pi\) | |||||||
\(180\) | −8.63826 | − | 5.46368i | −0.643858 | − | 0.407239i | ||||
\(181\) | 6.08946 | + | 10.5473i | 0.452626 | + | 0.783972i | 0.998548 | − | 0.0538642i | \(-0.0171538\pi\) |
−0.545922 | + | 0.837836i | \(0.683820\pi\) | |||||||
\(182\) | −45.0305 | + | 25.9984i | −3.33789 | + | 1.92713i | ||||
\(183\) | −21.5775 | − | 12.4578i | −1.59505 | − | 0.920904i | ||||
\(184\) | −0.910306 | −0.0671086 | ||||||||
\(185\) | −12.3620 | + | 5.67292i | −0.908869 | + | 0.417081i | ||||
\(186\) | −8.18930 | −0.600469 | ||||||||
\(187\) | −10.3718 | − | 5.98817i | −0.758462 | − | 0.437898i | ||||
\(188\) | −9.70362 | + | 5.60239i | −0.707710 | + | 0.408596i | ||||
\(189\) | −6.45249 | − | 11.1760i | −0.469350 | − | 0.812937i | ||||
\(190\) | −2.63427 | + | 4.16487i | −0.191110 | + | 0.302151i | ||||
\(191\) | −24.3624 | −1.76280 | −0.881401 | − | 0.472368i | \(-0.843399\pi\) | ||||
−0.881401 | + | 0.472368i | \(0.843399\pi\) | |||||||
\(192\) | 23.1081 | − | 13.3414i | 1.66768 | − | 0.962836i | ||||
\(193\) | − | 8.15491i | − | 0.587003i | −0.955959 | − | 0.293502i | \(-0.905179\pi\) | ||
0.955959 | − | 0.293502i | \(-0.0948206\pi\) | |||||||
\(194\) | −9.42399 | + | 16.3228i | −0.676603 | + | 1.17191i | ||||
\(195\) | −24.5842 | + | 12.8997i | −1.76051 | + | 0.923768i | ||||
\(196\) | 24.6235 | 1.75882 | ||||||||
\(197\) | −0.797406 | − | 0.460382i | −0.0568128 | − | 0.0328009i | 0.471325 | − | 0.881960i | \(-0.343776\pi\) |
−0.528137 | + | 0.849159i | \(0.677109\pi\) | |||||||
\(198\) | −10.9524 | + | 6.32337i | −0.778352 | + | 0.449382i | ||||
\(199\) | 19.3007 | 1.36819 | 0.684096 | − | 0.729392i | \(-0.260197\pi\) | ||||
0.684096 | + | 0.729392i | \(0.260197\pi\) | |||||||
\(200\) | −13.8327 | + | 6.56037i | −0.978117 | + | 0.463888i | ||||
\(201\) | 9.85033 | − | 17.0613i | 0.694789 | − | 1.20341i | ||||
\(202\) | 8.38495 | + | 4.84105i | 0.589963 | + | 0.340615i | ||||
\(203\) | 21.2212 | − | 12.2521i | 1.48944 | − | 0.859928i | ||||
\(204\) | 10.4472 | + | 18.0951i | 0.731450 | + | 1.26691i | ||||
\(205\) | 0.703244 | − | 17.4086i | 0.0491167 | − | 1.21587i | ||||
\(206\) | −17.0883 | + | 29.5978i | −1.19060 | + | 2.06217i | ||||
\(207\) | 0.353778 | + | 0.204254i | 0.0245893 | + | 0.0141966i | ||||
\(208\) | 2.45418i | 0.170167i | ||||||||
\(209\) | 1.90404 | + | 3.29790i | 0.131706 | + | 0.228121i | ||||
\(210\) | 40.9270 | + | 1.65330i | 2.82423 | + | 0.114089i | ||||
\(211\) | −1.55777 | −0.107241 | −0.0536206 | − | 0.998561i | \(-0.517076\pi\) | ||||
−0.0536206 | + | 0.998561i | \(0.517076\pi\) | |||||||
\(212\) | − | 6.42487i | − | 0.441262i | ||||||
\(213\) | −23.2307 | − | 13.4123i | −1.59174 | − | 0.918993i | ||||
\(214\) | −26.2534 | −1.79465 | ||||||||
\(215\) | 5.56446 | − | 8.79759i | 0.379493 | − | 0.599991i | ||||
\(216\) | −10.4121 | −0.708455 | ||||||||
\(217\) | 5.57592 | − | 3.21926i | 0.378518 | − | 0.218538i | ||||
\(218\) | 20.0257 | − | 11.5618i | 1.35631 | − | 0.783066i | ||||
\(219\) | 0.797900 | + | 1.38200i | 0.0539171 | + | 0.0933871i | ||||
\(220\) | −1.19737 | + | 29.6406i | −0.0807268 | + | 1.99837i | ||||
\(221\) | 17.8286 | 1.19928 | ||||||||
\(222\) | 16.0067 | − | 24.6141i | 1.07430 | − | 1.65199i | ||||
\(223\) | 13.8220i | 0.925590i | 0.886465 | + | 0.462795i | \(0.153153\pi\) | ||||
−0.886465 | + | 0.462795i | \(0.846847\pi\) | |||||||
\(224\) | −9.80944 | + | 16.9905i | −0.655421 | + | 1.13522i | ||||
\(225\) | 6.84788 | + | 0.554163i | 0.456526 | + | 0.0369442i | ||||
\(226\) | 6.86860 | + | 11.8968i | 0.456892 | + | 0.791361i | ||||
\(227\) | 6.54664 | − | 3.77971i | 0.434516 | − | 0.250868i | −0.266753 | − | 0.963765i | \(-0.585951\pi\) |
0.701269 | + | 0.712897i | \(0.252617\pi\) | |||||||
\(228\) | − | 6.64374i | − | 0.439992i | ||||||
\(229\) | −11.1192 | − | 19.2589i | −0.734774 | − | 1.27267i | −0.954822 | − | 0.297178i | \(-0.903955\pi\) |
0.220048 | − | 0.975489i | \(-0.429379\pi\) | |||||||
\(230\) | 1.35862 | − | 0.712890i | 0.0895848 | − | 0.0470066i | ||||
\(231\) | 15.8259 | − | 27.4112i | 1.04127 | − | 1.80353i | ||||
\(232\) | − | 19.7707i | − | 1.29801i | ||||||
\(233\) | 5.45209i | 0.357179i | 0.983924 | + | 0.178589i | \(0.0571533\pi\) | ||||
−0.983924 | + | 0.178589i | \(0.942847\pi\) | |||||||
\(234\) | 9.41328 | − | 16.3043i | 0.615366 | − | 1.06584i | ||||
\(235\) | 4.02592 | − | 6.36511i | 0.262622 | − | 0.415214i | ||||
\(236\) | 19.2978 | 1.25618 | ||||||||
\(237\) | 17.7861 | + | 10.2688i | 1.15533 | + | 0.667030i | ||||
\(238\) | −22.7796 | − | 13.1518i | −1.47658 | − | 0.852504i | ||||
\(239\) | −12.7179 | + | 22.0281i | −0.822655 | + | 1.42488i | 0.0810427 | + | 0.996711i | \(0.474175\pi\) |
−0.903698 | + | 0.428170i | \(0.859158\pi\) | |||||||
\(240\) | 1.03343 | − | 1.63389i | 0.0667076 | − | 0.105467i | ||||
\(241\) | 12.0423 | + | 20.8579i | 0.775713 | + | 1.34358i | 0.934393 | + | 0.356245i | \(0.115943\pi\) |
−0.158679 | + | 0.987330i | \(0.550724\pi\) | |||||||
\(242\) | 9.80090 | + | 5.65855i | 0.630026 | + | 0.363746i | ||||
\(243\) | 11.5127 | + | 6.64686i | 0.738540 | + | 0.426396i | ||||
\(244\) | 19.8156 | − | 34.3217i | 1.26857 | − | 2.19722i | ||||
\(245\) | −14.6560 | + | 7.69022i | −0.936335 | + | 0.491310i | ||||
\(246\) | 18.8050 | + | 32.5712i | 1.19896 | + | 2.07666i | ||||
\(247\) | −4.90943 | − | 2.83446i | −0.312379 | − | 0.180352i | ||||
\(248\) | − | 5.19479i | − | 0.329869i | ||||||
\(249\) | −32.5218 | −2.06099 | ||||||||
\(250\) | 15.5074 | − | 20.6241i | 0.980777 | − | 1.30438i | ||||
\(251\) | 10.7434 | 0.678116 | 0.339058 | − | 0.940765i | \(-0.389892\pi\) | ||||
0.339058 | + | 0.940765i | \(0.389892\pi\) | |||||||
\(252\) | −15.0229 | + | 8.67347i | −0.946353 | + | 0.546377i | ||||
\(253\) | − | 1.18561i | − | 0.0745388i | ||||||
\(254\) | −7.12605 | − | 12.3427i | −0.447128 | − | 0.774449i | ||||
\(255\) | −11.8695 | − | 7.50744i | −0.743297 | − | 0.470134i | ||||
\(256\) | 9.28979 | + | 16.0904i | 0.580612 | + | 1.00565i | ||||
\(257\) | 19.7605 | + | 11.4087i | 1.23263 | + | 0.711657i | 0.967577 | − | 0.252578i | \(-0.0812784\pi\) |
0.265049 | + | 0.964235i | \(0.414612\pi\) | |||||||
\(258\) | 22.4709i | 1.39898i | ||||||||
\(259\) | −1.22271 | + | 23.0515i | −0.0759752 | + | 1.43235i | ||||
\(260\) | −20.5186 | − | 39.1042i | −1.27251 | − | 2.42514i | ||||
\(261\) | −4.43613 | + | 7.68361i | −0.274590 | + | 0.475603i | ||||
\(262\) | −7.89063 | + | 4.55566i | −0.487485 | + | 0.281449i | ||||
\(263\) | 6.72768 | − | 3.88423i | 0.414847 | − | 0.239512i | −0.278023 | − | 0.960574i | \(-0.589679\pi\) |
0.692870 | + | 0.721062i | \(0.256346\pi\) | |||||||
\(264\) | −12.7688 | − | 22.1162i | −0.785865 | − | 1.36116i | ||||
\(265\) | 2.00656 | + | 3.82409i | 0.123262 | + | 0.234912i | ||||
\(266\) | 4.18184 | + | 7.24316i | 0.256405 | + | 0.444107i | ||||
\(267\) | 9.71391i | 0.594482i | ||||||||
\(268\) | 27.1381 | + | 15.6682i | 1.65772 | + | 0.957086i | ||||
\(269\) | 11.6833 | 0.712341 | 0.356171 | − | 0.934421i | \(-0.384082\pi\) | ||||
0.356171 | + | 0.934421i | \(0.384082\pi\) | |||||||
\(270\) | 15.5400 | − | 8.15408i | 0.945733 | − | 0.496241i | ||||
\(271\) | −3.93577 | + | 6.81695i | −0.239081 | + | 0.414100i | −0.960451 | − | 0.278450i | \(-0.910179\pi\) |
0.721370 | + | 0.692550i | \(0.243513\pi\) | |||||||
\(272\) | −1.07517 | + | 0.620747i | −0.0651915 | + | 0.0376383i | ||||
\(273\) | 47.1184i | 2.85174i | ||||||||
\(274\) | 6.92598 | − | 11.9962i | 0.418414 | − | 0.724714i | ||||
\(275\) | −8.54445 | − | 18.0161i | −0.515249 | − | 1.08641i | ||||
\(276\) | −1.03423 | + | 1.79134i | −0.0622535 | + | 0.107826i | ||||
\(277\) | −10.6324 | + | 6.13859i | −0.638836 | + | 0.368832i | −0.784166 | − | 0.620551i | \(-0.786909\pi\) |
0.145330 | + | 0.989383i | \(0.453576\pi\) | |||||||
\(278\) | 13.7002 | − | 7.90979i | 0.821681 | − | 0.474398i | ||||
\(279\) | −1.16560 | + | 2.01888i | −0.0697828 | + | 0.120867i | ||||
\(280\) | −1.04875 | + | 25.9616i | −0.0626750 | + | 1.55150i | ||||
\(281\) | 13.4185 | − | 23.2415i | 0.800481 | − | 1.38647i | −0.118819 | − | 0.992916i | \(-0.537911\pi\) |
0.919300 | − | 0.393558i | \(-0.128756\pi\) | |||||||
\(282\) | 16.2579i | 0.968142i | ||||||||
\(283\) | −8.76161 | + | 5.05852i | −0.520824 | + | 0.300698i | −0.737272 | − | 0.675596i | \(-0.763886\pi\) |
0.216448 | + | 0.976294i | \(0.430553\pi\) | |||||||
\(284\) | 21.3339 | − | 36.9514i | 1.26593 | − | 2.19266i | ||||
\(285\) | 2.07492 | + | 3.95437i | 0.122908 | + | 0.234236i | ||||
\(286\) | −54.6404 | −3.23095 | ||||||||
\(287\) | −25.6078 | − | 14.7847i | −1.51158 | − | 0.872712i | ||||
\(288\) | − | 7.10344i | − | 0.418574i | ||||||
\(289\) | −3.99053 | − | 6.91180i | −0.234737 | − | 0.406577i | ||||
\(290\) | 15.4831 | + | 29.5075i | 0.909198 | + | 1.73274i | ||||
\(291\) | 8.53983 | + | 14.7914i | 0.500614 | + | 0.867088i | ||||
\(292\) | −2.19825 | + | 1.26916i | −0.128643 | + | 0.0742719i | ||||
\(293\) | 15.0791 | − | 8.70590i | 0.880928 | − | 0.508604i | 0.00996395 | − | 0.999950i | \(-0.496828\pi\) |
0.870964 | + | 0.491346i | \(0.163495\pi\) | |||||||
\(294\) | 17.8641 | − | 30.9415i | 1.04185 | − | 1.80454i | ||||
\(295\) | −11.4861 | + | 6.02693i | −0.668745 | + | 0.350901i | ||||
\(296\) | 15.6137 | + | 10.1537i | 0.907526 | + | 0.590171i | ||||
\(297\) | − | 13.5611i | − | 0.786895i | ||||||
\(298\) | −32.3516 | − | 18.6782i | −1.87408 | − | 1.08200i | ||||
\(299\) | 0.882482 | + | 1.52850i | 0.0510352 | + | 0.0883956i | ||||
\(300\) | −2.80599 | + | 34.6740i | −0.162004 | + | 2.00191i | ||||
\(301\) | −8.83345 | − | 15.3000i | −0.509152 | − | 0.881877i | ||||
\(302\) | − | 24.6099i | − | 1.41614i | ||||||
\(303\) | 7.59827 | − | 4.38686i | 0.436509 | − | 0.252019i | ||||
\(304\) | 0.394755 | 0.0226408 | ||||||||
\(305\) | −1.07523 | + | 26.6170i | −0.0615674 | + | 1.52408i | ||||
\(306\) | 9.52378 | 0.544438 | ||||||||
\(307\) | 18.3837i | 1.04922i | 0.851344 | + | 0.524608i | \(0.175788\pi\) | ||||
−0.851344 | + | 0.524608i | \(0.824212\pi\) | |||||||
\(308\) | 43.6010 | + | 25.1730i | 2.48440 | + | 1.43437i | ||||
\(309\) | 15.4850 | + | 26.8209i | 0.880913 | + | 1.52579i | ||||
\(310\) | 4.06821 | + | 7.75316i | 0.231059 | + | 0.440350i | ||||
\(311\) | 7.74307 | − | 13.4114i | 0.439069 | − | 0.760490i | −0.558549 | − | 0.829472i | \(-0.688642\pi\) |
0.997618 | + | 0.0689816i | \(0.0219750\pi\) | |||||||
\(312\) | 32.9233 | + | 19.0083i | 1.86391 | + | 1.07613i | ||||
\(313\) | 10.1881 | + | 5.88209i | 0.575865 | + | 0.332476i | 0.759488 | − | 0.650521i | \(-0.225449\pi\) |
−0.183624 | + | 0.982997i | \(0.558783\pi\) | |||||||
\(314\) | 11.2080 | + | 19.4129i | 0.632506 | + | 1.09553i | ||||
\(315\) | 6.23282 | − | 9.85429i | 0.351180 | − | 0.555227i | ||||
\(316\) | −16.3338 | + | 28.2910i | −0.918848 | + | 1.59149i | ||||
\(317\) | −4.62536 | − | 2.67045i | −0.259786 | − | 0.149988i | 0.364451 | − | 0.931223i | \(-0.381257\pi\) |
−0.624237 | + | 0.781235i | \(0.714590\pi\) | |||||||
\(318\) | −8.07337 | − | 4.66116i | −0.452732 | − | 0.261385i | ||||
\(319\) | 25.7500 | 1.44172 | ||||||||
\(320\) | −24.1103 | − | 15.2498i | −1.34781 | − | 0.852487i | ||||
\(321\) | −11.8952 | + | 20.6030i | −0.663923 | + | 1.14995i | ||||
\(322\) | − | 2.60395i | − | 0.145113i | ||||||
\(323\) | − | 2.86773i | − | 0.159565i | ||||||
\(324\) | −18.6861 | + | 32.3653i | −1.03812 | + | 1.79807i | ||||
\(325\) | 24.4254 | + | 16.8667i | 1.35488 | + | 0.935596i | ||||
\(326\) | −1.36744 | − | 2.36847i | −0.0757354 | − | 0.131178i | ||||
\(327\) | − | 20.9542i | − | 1.15877i | ||||||
\(328\) | −20.6612 | + | 11.9287i | −1.14082 | + | 0.658654i | ||||
\(329\) | −6.39106 | − | 11.0696i | −0.352350 | − | 0.610289i | ||||
\(330\) | 36.3772 | + | 23.0085i | 2.00250 | + | 1.26658i | ||||
\(331\) | −2.05186 | + | 3.55393i | −0.112780 | + | 0.195341i | −0.916890 | − | 0.399139i | \(-0.869309\pi\) |
0.804110 | + | 0.594481i | \(0.202642\pi\) | |||||||
\(332\) | − | 51.7301i | − | 2.83906i | ||||||
\(333\) | −3.78976 | − | 7.44947i | −0.207678 | − | 0.408229i | ||||
\(334\) | 2.92926 | 0.160282 | ||||||||
\(335\) | −21.0460 | − | 0.850181i | −1.14987 | − | 0.0464504i | ||||
\(336\) | −1.64055 | − | 2.84151i | −0.0894991 | − | 0.155017i | ||||
\(337\) | 22.2378 | − | 12.8390i | 1.21137 | − | 0.699386i | 0.248313 | − | 0.968680i | \(-0.420124\pi\) |
0.963058 | + | 0.269294i | \(0.0867904\pi\) | |||||||
\(338\) | 44.4592 | − | 25.6685i | 2.41826 | − | 1.39618i | ||||
\(339\) | 12.4484 | 0.676102 | ||||||||
\(340\) | 11.9415 | − | 18.8799i | 0.647620 | − | 1.02391i | ||||
\(341\) | 6.76587 | 0.366392 | ||||||||
\(342\) | −2.62255 | − | 1.51413i | −0.141811 | − | 0.0818746i | ||||
\(343\) | 1.52501i | 0.0823427i | ||||||||
\(344\) | −14.2542 | −0.768534 | ||||||||
\(345\) | 0.0561192 | − | 1.38921i | 0.00302135 | − | 0.0747928i | ||||
\(346\) | −12.3509 | − | 21.3924i | −0.663988 | − | 1.15006i | ||||
\(347\) | 21.0063i | 1.12768i | 0.825885 | + | 0.563838i | \(0.190676\pi\) | ||||
−0.825885 | + | 0.563838i | \(0.809324\pi\) | |||||||
\(348\) | −38.9057 | − | 22.4622i | −2.08556 | − | 1.20410i | ||||
\(349\) | −7.83579 | + | 13.5720i | −0.419440 | + | 0.726491i | −0.995883 | − | 0.0906458i | \(-0.971107\pi\) |
0.576443 | + | 0.817137i | \(0.304440\pi\) | |||||||
\(350\) | −18.7661 | − | 39.5687i | −1.00309 | − | 2.11504i | ||||
\(351\) | 10.0939 | + | 17.4831i | 0.538771 | + | 0.933178i | ||||
\(352\) | −17.8543 | + | 10.3082i | −0.951636 | + | 0.549428i | ||||
\(353\) | −18.1135 | − | 10.4578i | −0.964083 | − | 0.556613i | −0.0666556 | − | 0.997776i | \(-0.521233\pi\) |
−0.897427 | + | 0.441163i | \(0.854566\pi\) | |||||||
\(354\) | 14.0003 | − | 24.2492i | 0.744108 | − | 1.28883i | ||||
\(355\) | −1.15761 | + | 28.6563i | −0.0614396 | + | 1.52092i | ||||
\(356\) | −15.4512 | −0.818912 | ||||||||
\(357\) | −20.6424 | + | 11.9179i | −1.09251 | + | 0.630761i | ||||
\(358\) | 15.7283 | + | 9.08074i | 0.831267 | + | 0.479932i | ||||
\(359\) | −4.92946 | −0.260167 | −0.130083 | − | 0.991503i | \(-0.541524\pi\) | ||||
−0.130083 | + | 0.991503i | \(0.541524\pi\) | |||||||
\(360\) | −4.37113 | − | 8.33046i | −0.230379 | − | 0.439054i | ||||
\(361\) | 9.04408 | − | 15.6648i | 0.476004 | − | 0.824463i | ||||
\(362\) | 28.1085i | 1.47735i | ||||||||
\(363\) | 8.88137 | − | 5.12766i | 0.466151 | − | 0.269133i | ||||
\(364\) | −74.9477 | −3.92833 | ||||||||
\(365\) | 0.912028 | − | 1.44195i | 0.0477377 | − | 0.0754749i | ||||
\(366\) | −28.7520 | − | 49.7999i | −1.50289 | − | 2.60308i | ||||
\(367\) | 17.8199 | − | 10.2883i | 0.930191 | − | 0.537046i | 0.0433188 | − | 0.999061i | \(-0.486207\pi\) |
0.886872 | + | 0.462016i | \(0.152874\pi\) | |||||||
\(368\) | −0.106437 | − | 0.0614516i | −0.00554843 | − | 0.00320339i | ||||
\(369\) | 10.7062 | 0.557344 | ||||||||
\(370\) | −31.2549 | − | 2.92668i | −1.62486 | − | 0.152151i | ||||
\(371\) | 7.32932 | 0.380519 | ||||||||
\(372\) | −10.2226 | − | 5.90199i | −0.530015 | − | 0.306004i | ||||
\(373\) | 22.2507 | − | 12.8465i | 1.15210 | − | 0.665164i | 0.202701 | − | 0.979241i | \(-0.435028\pi\) |
0.949398 | + | 0.314077i | \(0.101695\pi\) | |||||||
\(374\) | −13.8204 | − | 23.9377i | −0.714638 | − | 1.23779i | ||||
\(375\) | −9.15899 | − | 21.5144i | −0.472968 | − | 1.11100i | ||||
\(376\) | −10.3130 | −0.531852 | ||||||||
\(377\) | −33.1972 | + | 19.1664i | −1.70974 | + | 0.987119i | ||||
\(378\) | − | 29.7842i | − | 1.53193i | ||||||
\(379\) | −14.8117 | + | 25.6547i | −0.760828 | + | 1.31779i | 0.181596 | + | 0.983373i | \(0.441874\pi\) |
−0.942424 | + | 0.334420i | \(0.891460\pi\) | |||||||
\(380\) | −6.28991 | + | 3.30042i | −0.322666 | + | 0.169308i | ||||
\(381\) | −12.9150 | −0.661654 | ||||||||
\(382\) | −48.6944 | − | 28.1137i | −2.49142 | − | 1.43842i | ||||
\(383\) | −8.06578 | + | 4.65678i | −0.412142 | + | 0.237950i | −0.691710 | − | 0.722176i | \(-0.743142\pi\) |
0.279568 | + | 0.960126i | \(0.409809\pi\) | |||||||
\(384\) | 39.9589 | 2.03915 | ||||||||
\(385\) | −33.8132 | − | 1.36593i | −1.72328 | − | 0.0696143i | ||||
\(386\) | 9.41059 | − | 16.2996i | 0.478987 | − | 0.829629i | ||||
\(387\) | 5.53969 | + | 3.19834i | 0.281598 | + | 0.162581i | ||||
\(388\) | −23.5276 | + | 13.5837i | −1.19443 | + | 0.689606i | ||||
\(389\) | 8.52767 | + | 14.7704i | 0.432370 | + | 0.748887i | 0.997077 | − | 0.0764048i | \(-0.0243441\pi\) |
−0.564707 | + | 0.825291i | \(0.691011\pi\) | |||||||
\(390\) | −64.0236 | − | 2.58632i | −3.24196 | − | 0.130963i | ||||
\(391\) | −0.446420 | + | 0.773223i | −0.0225764 | + | 0.0391035i | ||||
\(392\) | 19.6274 | + | 11.3319i | 0.991332 | + | 0.572346i | ||||
\(393\) | 8.25648i | 0.416484i | ||||||||
\(394\) | −1.06254 | − | 1.84038i | −0.0535302 | − | 0.0927170i | ||||
\(395\) | 0.886299 | − | 21.9401i | 0.0445945 | − | 1.10393i | ||||
\(396\) | −18.2289 | −0.916036 | ||||||||
\(397\) | 14.0827i | 0.706789i | 0.935474 | + | 0.353395i | \(0.114973\pi\) | ||||
−0.935474 | + | 0.353395i | \(0.885027\pi\) | |||||||
\(398\) | 38.5773 | + | 22.2726i | 1.93371 | + | 1.11643i | ||||
\(399\) | 7.57900 | 0.379424 | ||||||||
\(400\) | −2.06025 | − | 0.166725i | −0.103012 | − | 0.00833626i | ||||
\(401\) | −31.2660 | −1.56135 | −0.780675 | − | 0.624937i | \(-0.785125\pi\) | ||||
−0.780675 | + | 0.624937i | \(0.785125\pi\) | |||||||
\(402\) | 39.3767 | − | 22.7341i | 1.96393 | − | 1.13388i | ||||
\(403\) | −8.72262 | + | 5.03601i | −0.434504 | + | 0.250861i | ||||
\(404\) | 6.97785 | + | 12.0860i | 0.347161 | + | 0.601300i | ||||
\(405\) | 1.01394 | − | 25.0998i | 0.0503831 | − | 1.24722i | ||||
\(406\) | 56.5546 | 2.80676 | ||||||||
\(407\) | −13.2245 | + | 20.3358i | −0.655514 | + | 1.00801i | ||||
\(408\) | 19.2314i | 0.952096i | ||||||||
\(409\) | −5.91135 | + | 10.2388i | −0.292297 | + | 0.506274i | −0.974353 | − | 0.225027i | \(-0.927753\pi\) |
0.682055 | + | 0.731301i | \(0.261086\pi\) | |||||||
\(410\) | 21.4948 | − | 33.9839i | 1.06155 | − | 1.67835i | ||||
\(411\) | −6.27618 | − | 10.8707i | −0.309581 | − | 0.536210i | ||||
\(412\) | −42.6620 | + | 24.6309i | −2.10180 | + | 1.21348i | ||||
\(413\) | 22.0144i | 1.08326i | ||||||||
\(414\) | 0.471409 | + | 0.816505i | 0.0231685 | + | 0.0401290i | ||||
\(415\) | 16.1559 | + | 30.7898i | 0.793063 | + | 1.51141i | ||||
\(416\) | 15.3453 | − | 26.5788i | 0.752364 | − | 1.30313i | ||||
\(417\) | − | 14.3354i | − | 0.702006i | ||||||
\(418\) | 8.78891i | 0.429880i | ||||||||
\(419\) | 11.9697 | − | 20.7321i | 0.584758 | − | 1.01283i | −0.410148 | − | 0.912019i | \(-0.634523\pi\) |
0.994906 | − | 0.100811i | \(-0.0321438\pi\) | |||||||
\(420\) | 49.8969 | + | 31.5597i | 2.43472 | + | 1.53996i | ||||
\(421\) | −33.9711 | −1.65565 | −0.827826 | − | 0.560985i | \(-0.810422\pi\) | ||||
−0.827826 | + | 0.560985i | \(0.810422\pi\) | |||||||
\(422\) | −3.11359 | − | 1.79763i | −0.151567 | − | 0.0875073i | ||||
\(423\) | 4.00800 | + | 2.31402i | 0.194876 | + | 0.112512i | ||||
\(424\) | 2.95676 | − | 5.12125i | 0.143593 | − | 0.248710i | ||||
\(425\) | −1.21119 | + | 14.9668i | −0.0587512 | + | 0.725999i | ||||
\(426\) | −30.9549 | − | 53.6155i | −1.49977 | − | 2.59768i | ||||
\(427\) | 39.1532 | + | 22.6051i | 1.89476 | + | 1.09394i | ||||
\(428\) | −32.7717 | − | 18.9207i | −1.58408 | − | 0.914568i | ||||
\(429\) | −24.7570 | + | 42.8804i | −1.19528 | + | 2.07028i | ||||
\(430\) | 21.2742 | − | 11.1629i | 1.02593 | − | 0.538324i | ||||
\(431\) | 15.3695 | + | 26.6208i | 0.740323 | + | 1.28228i | 0.952348 | + | 0.305012i | \(0.0986606\pi\) |
−0.212026 | + | 0.977264i | \(0.568006\pi\) | |||||||
\(432\) | −1.21744 | − | 0.702887i | −0.0585739 | − | 0.0338177i | ||||
\(433\) | − | 5.62141i | − | 0.270148i | −0.990836 | − | 0.135074i | \(-0.956873\pi\) | ||
0.990836 | − | 0.135074i | \(-0.0431272\pi\) | |||||||
\(434\) | 14.8598 | 0.713295 | ||||||||
\(435\) | 30.1720 | + | 1.21884i | 1.44664 | + | 0.0584388i | ||||
\(436\) | 33.3302 | 1.59623 | ||||||||
\(437\) | 0.245860 | − | 0.141947i | 0.0117611 | − | 0.00679026i | ||||
\(438\) | 3.68304i | 0.175982i | ||||||||
\(439\) | −1.55342 | − | 2.69061i | −0.0741408 | − | 0.128416i | 0.826572 | − | 0.562832i | \(-0.190288\pi\) |
−0.900712 | + | 0.434416i | \(0.856955\pi\) | |||||||
\(440\) | −14.5952 | + | 23.0755i | −0.695798 | + | 1.10008i | ||||
\(441\) | −5.08527 | − | 8.80795i | −0.242156 | − | 0.419426i | ||||
\(442\) | 35.6349 | + | 20.5738i | 1.69498 | + | 0.978597i | ||||
\(443\) | − | 10.1236i | − | 0.480987i | −0.970651 | − | 0.240493i | \(-0.922691\pi\) | ||
0.970651 | − | 0.240493i | \(-0.0773092\pi\) | |||||||
\(444\) | 37.7202 | − | 19.1893i | 1.79012 | − | 0.910685i | ||||
\(445\) | 9.19658 | − | 4.82559i | 0.435960 | − | 0.228755i | ||||
\(446\) | −15.9503 | + | 27.6267i | −0.755269 | + | 1.30816i | ||||
\(447\) | −29.3164 | + | 16.9258i | −1.38662 | + | 0.800564i | ||||
\(448\) | −41.9306 | + | 24.2086i | −1.98103 | + | 1.14375i | ||||
\(449\) | −2.87984 | − | 4.98803i | −0.135908 | − | 0.235400i | 0.790036 | − | 0.613061i | \(-0.210062\pi\) |
−0.925944 | + | 0.377661i | \(0.876728\pi\) | |||||||
\(450\) | 13.0477 | + | 9.00995i | 0.615075 | + | 0.424733i | ||||
\(451\) | −15.5364 | − | 26.9098i | −0.731579 | − | 1.26713i | ||||
\(452\) | 19.8007i | 0.931345i | ||||||||
\(453\) | −19.3132 | − | 11.1505i | −0.907414 | − | 0.523896i | ||||
\(454\) | 17.4468 | 0.818819 | ||||||||
\(455\) | 44.6090 | − | 23.4071i | 2.09130 | − | 1.09734i | ||||
\(456\) | 3.05748 | − | 5.29571i | 0.143180 | − | 0.247994i | ||||
\(457\) | 2.37875 | − | 1.37337i | 0.111273 | − | 0.0642435i | −0.443331 | − | 0.896358i | \(-0.646203\pi\) |
0.554604 | + | 0.832115i | \(0.312870\pi\) | |||||||
\(458\) | − | 51.3251i | − | 2.39826i | ||||||
\(459\) | −5.10618 | + | 8.84416i | −0.238336 | + | 0.412810i | ||||
\(460\) | 2.20972 | + | 0.0892645i | 0.103029 | + | 0.00416198i | ||||
\(461\) | −8.19643 | + | 14.1966i | −0.381746 | + | 0.661203i | −0.991312 | − | 0.131532i | \(-0.958010\pi\) |
0.609566 | + | 0.792735i | \(0.291344\pi\) | |||||||
\(462\) | 63.2640 | − | 36.5255i | 2.94331 | − | 1.69932i | ||||
\(463\) | 15.1736 | − | 8.76049i | 0.705178 | − | 0.407134i | −0.104095 | − | 0.994567i | \(-0.533195\pi\) |
0.809273 | + | 0.587433i | \(0.199861\pi\) | |||||||
\(464\) | 1.33465 | − | 2.31168i | 0.0619597 | − | 0.107317i | ||||
\(465\) | 7.92775 | + | 0.320252i | 0.367640 | + | 0.0148513i | ||||
\(466\) | −6.29160 | + | 10.8974i | −0.291453 | + | 0.504811i | ||||
\(467\) | − | 5.44107i | − | 0.251783i | −0.992044 | − | 0.125891i | \(-0.959821\pi\) | ||
0.992044 | − | 0.125891i | \(-0.0401790\pi\) | |||||||
\(468\) | 23.5009 | − | 13.5682i | 1.08633 | − | 0.627191i | ||||
\(469\) | −17.8738 | + | 30.9584i | −0.825337 | + | 1.42953i | ||||
\(470\) | 15.3920 | − | 8.07644i | 0.709981 | − | 0.372538i | ||||
\(471\) | 20.3130 | 0.935973 | ||||||||
\(472\) | 15.3822 | + | 8.88093i | 0.708024 | + | 0.408778i | ||||
\(473\) | − | 18.5651i | − | 0.853625i | ||||||
\(474\) | 23.6999 | + | 41.0495i | 1.08857 | + | 1.88547i | ||||
\(475\) | 2.71301 | − | 3.92883i | 0.124481 | − | 0.180267i | ||||
\(476\) | −18.9569 | − | 32.8343i | −0.868887 | − | 1.50496i | ||||
\(477\) | −2.29820 | + | 1.32687i | −0.105228 | + | 0.0607532i | ||||
\(478\) | −50.8400 | + | 29.3525i | −2.32537 | + | 1.34255i | ||||
\(479\) | 8.03117 | − | 13.9104i | 0.366953 | − | 0.635582i | −0.622134 | − | 0.782911i | \(-0.713734\pi\) |
0.989088 | + | 0.147329i | \(0.0470675\pi\) | |||||||
\(480\) | −21.4083 | + | 11.2333i | −0.977149 | + | 0.512726i | ||||
\(481\) | 1.91272 | − | 36.0604i | 0.0872127 | − | 1.64421i | ||||
\(482\) | 55.5863i | 2.53189i | ||||||||
\(483\) | −2.04352 | − | 1.17982i | −0.0929832 | − | 0.0536839i | ||||
\(484\) | 8.15619 | + | 14.1269i | 0.370736 | + | 0.642133i | ||||
\(485\) | 9.76133 | − | 15.4330i | 0.443239 | − | 0.700775i | ||||
\(486\) | 15.3407 | + | 26.5708i | 0.695867 | + | 1.20528i | ||||
\(487\) | 30.0350i | 1.36101i | 0.732742 | + | 0.680507i | \(0.238240\pi\) | ||||
−0.732742 | + | 0.680507i | \(0.761760\pi\) | |||||||
\(488\) | 31.5900 | − | 18.2385i | 1.43001 | − | 0.825618i | ||||
\(489\) | −2.47829 | −0.112072 | ||||||||
\(490\) | −38.1680 | − | 1.54185i | −1.72425 | − | 0.0696535i | ||||
\(491\) | −1.58898 | −0.0717096 | −0.0358548 | − | 0.999357i | \(-0.511415\pi\) | ||||
−0.0358548 | + | 0.999357i | \(0.511415\pi\) | |||||||
\(492\) | 54.2107i | 2.44401i | ||||||||
\(493\) | −16.7934 | − | 9.69568i | −0.756337 | − | 0.436672i | ||||
\(494\) | −6.54181 | − | 11.3307i | −0.294330 | − | 0.509794i | ||||
\(495\) | 10.8499 | − | 5.69310i | 0.487665 | − | 0.255886i | ||||
\(496\) | 0.350682 | − | 0.607400i | 0.0157461 | − | 0.0272731i | ||||
\(497\) | 42.1531 | + | 24.3371i | 1.89083 | + | 1.09167i | ||||
\(498\) | −65.0031 | − | 37.5295i | −2.91286 | − | 1.68174i | ||||
\(499\) | −12.3576 | − | 21.4040i | −0.553204 | − | 0.958177i | −0.998041 | − | 0.0625654i | \(-0.980072\pi\) |
0.444837 | − | 0.895611i | \(-0.353262\pi\) | |||||||
\(500\) | 34.2213 | − | 14.5685i | 1.53043 | − | 0.651524i | ||||
\(501\) | 1.32722 | − | 2.29881i | 0.0592957 | − | 0.102703i | ||||
\(502\) | 21.4733 | + | 12.3976i | 0.958402 | + | 0.553334i | ||||
\(503\) | 3.54957 | + | 2.04934i | 0.158267 | + | 0.0913757i | 0.577042 | − | 0.816715i | \(-0.304207\pi\) |
−0.418775 | + | 0.908090i | \(0.637540\pi\) | |||||||
\(504\) | −15.9663 | −0.711195 | ||||||||
\(505\) | −7.92783 | − | 5.01434i | −0.352784 | − | 0.223135i | ||||
\(506\) | 1.36817 | − | 2.36974i | 0.0608227 | − | 0.105348i | ||||
\(507\) | − | 46.5205i | − | 2.06605i | ||||||
\(508\) | − | 20.5429i | − | 0.911442i | ||||||
\(509\) | 19.0932 | − | 33.0703i | 0.846289 | − | 1.46582i | −0.0382077 | − | 0.999270i | \(-0.512165\pi\) |
0.884497 | − | 0.466546i | \(-0.154502\pi\) | |||||||
\(510\) | −15.0607 | − | 28.7026i | −0.666901 | − | 1.27097i | ||||
\(511\) | −1.44782 | − | 2.50770i | −0.0640479 | − | 0.110934i | ||||
\(512\) | 4.66870i | 0.206329i | ||||||||
\(513\) | 2.81216 | − | 1.62360i | 0.124160 | − | 0.0716837i | ||||
\(514\) | 26.3309 | + | 45.6064i | 1.16140 | + | 2.01161i | ||||
\(515\) | 17.7000 | − | 27.9842i | 0.779953 | − | 1.23313i | ||||
\(516\) | −16.1947 | + | 28.0501i | −0.712932 | + | 1.23484i | ||||
\(517\) | − | 13.4320i | − | 0.590738i | ||||||
\(518\) | −29.0449 | + | 44.6633i | −1.27616 | + | 1.96239i | ||||
\(519\) | −22.3842 | −0.982559 | ||||||||
\(520\) | 1.64060 | − | 40.6127i | 0.0719452 | − | 1.78098i | ||||
\(521\) | −14.1969 | − | 24.5898i | −0.621978 | − | 1.07730i | −0.989117 | − | 0.147132i | \(-0.952996\pi\) |
0.367139 | − | 0.930166i | \(-0.380337\pi\) | |||||||
\(522\) | −17.7334 | + | 10.2384i | −0.776172 | + | 0.448123i | ||||
\(523\) | 8.85090 | − | 5.11007i | 0.387023 | − | 0.223448i | −0.293846 | − | 0.955853i | \(-0.594935\pi\) |
0.680869 | + | 0.732405i | \(0.261602\pi\) | |||||||
\(524\) | −13.1330 | −0.573716 | ||||||||
\(525\) | −39.5552 | − | 3.20100i | −1.72633 | − | 0.139703i | ||||
\(526\) | 17.9293 | 0.781754 | ||||||||
\(527\) | −4.41250 | − | 2.54756i | −0.192212 | − | 0.110973i | ||||
\(528\) | − | 3.44791i | − | 0.150051i | ||||||
\(529\) | 22.9116 | 0.996157 | ||||||||
\(530\) | −0.402305 | + | 9.95894i | −0.0174750 | + | 0.432589i | ||||
\(531\) | −3.98539 | − | 6.90290i | −0.172951 | − | 0.299560i | ||||
\(532\) | 12.0553i | 0.522665i | ||||||||
\(533\) | 40.0593 | + | 23.1282i | 1.73516 | + | 1.00179i | ||||
\(534\) | −11.2097 | + | 19.4157i | −0.485089 | + | 0.840199i | ||||
\(535\) | 25.4149 | + | 1.02667i | 1.09878 | + | 0.0443868i | ||||
\(536\) | 14.4211 | + | 24.9782i | 0.622899 | + | 1.07889i | ||||
\(537\) | 14.2527 | − | 8.22878i | 0.615048 | − | 0.355098i | ||||
\(538\) | 23.3519 | + | 13.4822i | 1.00677 | + | 0.581261i | ||||
\(539\) | −14.7590 | + | 25.5633i | −0.635715 | + | 1.10109i | ||||
\(540\) | 25.2749 | + | 1.02101i | 1.08766 | + | 0.0439374i | ||||
\(541\) | −20.1860 | −0.867866 | −0.433933 | − | 0.900945i | \(-0.642874\pi\) | ||||
−0.433933 | + | 0.900945i | \(0.642874\pi\) | |||||||
\(542\) | −15.7332 | + | 9.08358i | −0.675800 | + | 0.390173i | ||||
\(543\) | 22.0588 | + | 12.7357i | 0.946634 | + | 0.546539i | ||||
\(544\) | 15.5254 | 0.665646 | ||||||||
\(545\) | −19.8382 | + | 10.4094i | −0.849776 | + | 0.445891i | ||||
\(546\) | −54.3737 | + | 94.1779i | −2.32698 | + | 4.03044i | ||||
\(547\) | − | 27.0856i | − | 1.15810i | −0.815294 | − | 0.579048i | \(-0.803425\pi\) | ||
0.815294 | − | 0.579048i | \(-0.196575\pi\) | |||||||
\(548\) | 17.2912 | − | 9.98305i | 0.738641 | − | 0.426455i | ||||
\(549\) | −16.3694 | −0.698627 | ||||||||
\(550\) | 3.71200 | − | 45.8698i | 0.158280 | − | 1.95590i | ||||
\(551\) | 3.08291 | + | 5.33976i | 0.131337 | + | 0.227482i | ||||
\(552\) | −1.64877 | + | 0.951918i | −0.0701763 | + | 0.0405163i | ||||
\(553\) | −32.2736 | − | 18.6332i | −1.37241 | − | 0.792363i | ||||
\(554\) | −28.3352 | −1.20385 | ||||||||
\(555\) | −16.4581 | + | 23.2020i | −0.698606 | + | 0.984870i | ||||
\(556\) | 22.8022 | 0.967029 | ||||||||
\(557\) | 37.7624 | + | 21.8021i | 1.60004 | + | 0.923785i | 0.991477 | + | 0.130283i | \(0.0415884\pi\) |
0.608566 | + | 0.793503i | \(0.291745\pi\) | |||||||
\(558\) | −4.65950 | + | 2.69016i | −0.197252 | + | 0.113884i | ||||
\(559\) | 13.8185 | + | 23.9343i | 0.584460 | + | 1.01231i | ||||
\(560\) | −1.87520 | + | 2.96476i | −0.0792418 | + | 0.125284i | ||||
\(561\) | −25.0476 | −1.05751 | ||||||||
\(562\) | 53.6405 | − | 30.9693i | 2.26269 | − | 1.30636i | ||||
\(563\) | 28.7605i | 1.21211i | 0.795422 | + | 0.606056i | \(0.207249\pi\) | ||||
−0.795422 | + | 0.606056i | \(0.792751\pi\) | |||||||
\(564\) | −11.7170 | + | 20.2944i | −0.493374 | + | 0.854548i | ||||
\(565\) | −6.18399 | − | 11.7854i | −0.260162 | − | 0.495816i | ||||
\(566\) | −23.3497 | −0.981461 | ||||||||
\(567\) | −36.9215 | − | 21.3166i | −1.55056 | − | 0.895215i | ||||
\(568\) | 34.0104 | − | 19.6359i | 1.42704 | − | 0.823904i | ||||
\(569\) | −11.9040 | −0.499041 | −0.249521 | − | 0.968369i | \(-0.580273\pi\) | ||||
−0.249521 | + | 0.968369i | \(0.580273\pi\) | |||||||
\(570\) | −0.416010 | + | 10.2982i | −0.0174247 | + | 0.431344i | ||||
\(571\) | −10.9812 | + | 19.0200i | −0.459549 | + | 0.795963i | −0.998937 | − | 0.0460947i | \(-0.985322\pi\) |
0.539388 | + | 0.842058i | \(0.318656\pi\) | |||||||
\(572\) | −68.2066 | − | 39.3791i | −2.85186 | − | 1.64652i | ||||
\(573\) | −44.1258 | + | 25.4761i | −1.84338 | + | 1.06428i | ||||
\(574\) | −34.1224 | − | 59.1018i | −1.42424 | − | 2.46686i | ||||
\(575\) | −1.34311 | + | 0.636991i | −0.0560115 | + | 0.0265644i | ||||
\(576\) | 8.76526 | − | 15.1819i | 0.365219 | − | 0.632578i | ||||
\(577\) | −0.570941 | − | 0.329633i | −0.0237686 | − | 0.0137228i | 0.488069 | − | 0.872805i | \(-0.337702\pi\) |
−0.511837 | + | 0.859082i | \(0.671035\pi\) | |||||||
\(578\) | − | 18.4200i | − | 0.766169i | ||||||
\(579\) | −8.52768 | − | 14.7704i | −0.354398 | − | 0.613836i | ||||
\(580\) | −1.93871 | + | 47.9923i | −0.0805007 | + | 1.99277i | ||||
\(581\) | 59.0123 | 2.44824 | ||||||||
\(582\) | 39.4191i | 1.63398i | ||||||||
\(583\) | 6.67009 | + | 3.85098i | 0.276247 | + | 0.159491i | ||||
\(584\) | −2.33629 | −0.0966765 | ||||||||
\(585\) | −9.75024 | + | 15.4154i | −0.403123 | + | 0.637350i | ||||
\(586\) | 40.1857 | 1.66006 | ||||||||
\(587\) | 2.12772 | − | 1.22844i | 0.0878204 | − | 0.0507031i | −0.455447 | − | 0.890263i | \(-0.650520\pi\) |
0.543267 | + | 0.839560i | \(0.317187\pi\) | |||||||
\(588\) | 44.5988 | − | 25.7491i | 1.83922 | − | 1.06188i | ||||
\(589\) | 0.810042 | + | 1.40303i | 0.0333772 | + | 0.0578110i | ||||
\(590\) | −29.9127 | − | 1.20837i | −1.23149 | − | 0.0497476i | ||||
\(591\) | −1.92571 | −0.0792131 | ||||||||
\(592\) | 1.14018 | + | 2.24124i | 0.0468613 | + | 0.0921145i | ||||
\(593\) | 6.49585i | 0.266753i | 0.991065 | + | 0.133376i | \(0.0425819\pi\) | ||||
−0.991065 | + | 0.133376i | \(0.957418\pi\) | |||||||
\(594\) | 15.6492 | − | 27.1052i | 0.642095 | − | 1.11214i | ||||
\(595\) | 21.5377 | + | 13.6226i | 0.882960 | + | 0.558470i | ||||
\(596\) | −26.9226 | − | 46.6314i | −1.10279 | − | 1.91009i | ||||
\(597\) | 34.9580 | − | 20.1830i | 1.43074 | − | 0.826035i | ||||
\(598\) | 4.07346i | 0.166576i | ||||||||
\(599\) | −4.09270 | − | 7.08877i | −0.167223 | − | 0.289639i | 0.770219 | − | 0.637779i | \(-0.220147\pi\) |
−0.937443 | + | 0.348140i | \(0.886813\pi\) | |||||||
\(600\) | −18.1938 | + | 26.3473i | −0.742759 | + | 1.07562i | ||||
\(601\) | −5.02794 | + | 8.70864i | −0.205094 | + | 0.355233i | −0.950163 | − | 0.311755i | \(-0.899083\pi\) |
0.745069 | + | 0.666988i | \(0.232417\pi\) | |||||||
\(602\) | − | 40.7745i | − | 1.66184i | ||||||
\(603\) | − | 12.9432i | − | 0.527089i | ||||||
\(604\) | 17.7362 | − | 30.7201i | 0.721678 | − | 1.24998i | ||||
\(605\) | −9.26659 | − | 5.86110i | −0.376741 | − | 0.238288i | ||||
\(606\) | 20.2494 | 0.822575 | ||||||||
\(607\) | −35.8210 | − | 20.6813i | −1.45393 | − | 0.839426i | −0.455228 | − | 0.890375i | \(-0.650442\pi\) |
−0.998701 | + | 0.0509485i | \(0.983776\pi\) | |||||||
\(608\) | −4.27520 | − | 2.46829i | −0.173382 | − | 0.100102i | ||||
\(609\) | 25.6243 | − | 44.3826i | 1.03835 | − | 1.79847i | ||||
\(610\) | −32.8645 | + | 51.9599i | −1.33065 | + | 2.10380i | ||||
\(611\) | 9.99776 | + | 17.3166i | 0.404466 | + | 0.700556i | ||||
\(612\) | 11.8884 | + | 6.86375i | 0.480558 | + | 0.277451i | ||||
\(613\) | −5.19634 | − | 3.00011i | −0.209878 | − | 0.121173i | 0.391377 | − | 0.920231i | \(-0.371999\pi\) |
−0.601255 | + | 0.799057i | \(0.705332\pi\) | |||||||
\(614\) | −21.2144 | + | 36.7445i | −0.856145 | + | 1.48289i | ||||
\(615\) | −16.9306 | − | 32.2663i | −0.682710 | − | 1.30110i | ||||
\(616\) | 23.1695 | + | 40.1308i | 0.933526 | + | 1.61691i | ||||
\(617\) | −28.2055 | − | 16.2845i | −1.13551 | − | 0.655588i | −0.190197 | − | 0.981746i | \(-0.560913\pi\) |
−0.945315 | + | 0.326158i | \(0.894246\pi\) | |||||||
\(618\) | 71.4776i | 2.87525i | ||||||||
\(619\) | 11.4195 | 0.458988 | 0.229494 | − | 0.973310i | \(-0.426293\pi\) | ||||
0.229494 | + | 0.973310i | \(0.426293\pi\) | |||||||
\(620\) | −0.509401 | + | 12.6101i | −0.0204580 | + | 0.506433i | ||||
\(621\) | −1.01098 | −0.0405694 | ||||||||
\(622\) | 30.9529 | − | 17.8707i | 1.24110 | − | 0.716549i | ||||
\(623\) | − | 17.6263i | − | 0.706183i | ||||||
\(624\) | 2.56637 | + | 4.44508i | 0.102737 | + | 0.177945i | ||||
\(625\) | −15.8187 | + | 19.3590i | −0.632748 | + | 0.774358i | ||||
\(626\) | 13.5756 | + | 23.5137i | 0.542591 | + | 0.939795i | ||||
\(627\) | 6.89731 | + | 3.98216i | 0.275452 | + | 0.159032i | ||||
\(628\) | 32.3103i | 1.28932i | ||||||||
\(629\) | 16.2817 | − | 8.28296i | 0.649193 | − | 0.330263i | ||||
\(630\) | 23.8295 | − | 12.5037i | 0.949390 | − | 0.498160i | ||||
\(631\) | 10.0366 | − | 17.3839i | 0.399552 | − | 0.692044i | −0.594119 | − | 0.804377i | \(-0.702499\pi\) |
0.993671 | + | 0.112333i | \(0.0358324\pi\) | |||||||
\(632\) | −26.0393 | + | 15.0338i | −1.03579 | + | 0.598012i | ||||
\(633\) | −2.82147 | + | 1.62898i | −0.112143 | + | 0.0647460i | ||||
\(634\) | −6.16329 | − | 10.6751i | −0.244776 | − | 0.423964i | ||||
\(635\) | 6.41578 | + | 12.2272i | 0.254603 | + | 0.485220i | ||||
\(636\) | −6.71856 | − | 11.6369i | −0.266408 | − | 0.461433i | ||||
\(637\) | − | 43.9420i | − | 1.74104i | ||||||
\(638\) | 51.4678 | + | 29.7150i | 2.03763 | + | 1.17643i | ||||
\(639\) | −17.6236 | −0.697177 | ||||||||
\(640\) | −19.8505 | − | 37.8308i | −0.784658 | − | 1.49540i | ||||
\(641\) | −2.07726 | + | 3.59792i | −0.0820468 | + | 0.142109i | −0.904129 | − | 0.427260i | \(-0.859479\pi\) |
0.822082 | + | 0.569369i | \(0.192812\pi\) | |||||||
\(642\) | −47.5509 | + | 27.4535i | −1.87668 | + | 1.08350i | ||||
\(643\) | − | 42.2061i | − | 1.66445i | −0.554441 | − | 0.832223i | \(-0.687068\pi\) | ||
0.554441 | − | 0.832223i | \(-0.312932\pi\) | |||||||
\(644\) | 1.87666 | − | 3.25047i | 0.0739507 | − | 0.128086i | ||||
\(645\) | 0.878752 | − | 21.7533i | 0.0346008 | − | 0.856534i | ||||
\(646\) | 3.30930 | − | 5.73188i | 0.130203 | − | 0.225518i | ||||
\(647\) | 16.8409 | − | 9.72309i | 0.662083 | − | 0.382254i | −0.130987 | − | 0.991384i | \(-0.541815\pi\) |
0.793070 | + | 0.609130i | \(0.208481\pi\) | |||||||
\(648\) | −29.7894 | + | 17.1989i | −1.17024 | + | 0.675637i | ||||
\(649\) | −11.5668 | + | 20.0343i | −0.454037 | + | 0.786416i | ||||
\(650\) | 29.3565 | + | 61.8987i | 1.15146 | + | 2.42787i | ||||
\(651\) | 6.73284 | − | 11.6616i | 0.263881 | − | 0.457055i | ||||
\(652\) | − | 3.94203i | − | 0.154382i | ||||||
\(653\) | −1.41943 | + | 0.819511i | −0.0555467 | + | 0.0320699i | −0.527516 | − | 0.849545i | \(-0.676877\pi\) |
0.471969 | + | 0.881615i | \(0.343543\pi\) | |||||||
\(654\) | 24.1807 | − | 41.8822i | 0.945539 | − | 1.63772i | ||||
\(655\) | 7.81677 | − | 4.10158i | 0.305426 | − | 0.160262i | ||||
\(656\) | −3.22107 | −0.125762 | ||||||||
\(657\) | 0.907969 | + | 0.524216i | 0.0354232 | + | 0.0204516i | ||||
\(658\) | − | 29.5006i | − | 1.15005i | ||||||
\(659\) | 1.24047 | + | 2.14855i | 0.0483218 | + | 0.0836958i | 0.889175 | − | 0.457568i | \(-0.151279\pi\) |
−0.840853 | + | 0.541264i | \(0.817946\pi\) | |||||||
\(660\) | 28.8268 | + | 54.9380i | 1.12208 | + | 2.13846i | ||||
\(661\) | 12.1203 | + | 20.9929i | 0.471424 | + | 0.816530i | 0.999466 | − | 0.0326882i | \(-0.0104068\pi\) |
−0.528042 | + | 0.849219i | \(0.677073\pi\) | |||||||
\(662\) | −8.20231 | + | 4.73561i | −0.318792 | + | 0.184055i | ||||
\(663\) | 32.2916 | − | 18.6436i | 1.25410 | − | 0.724056i | ||||
\(664\) | 23.8064 | − | 41.2339i | 0.923869 | − | 1.60019i | ||||
\(665\) | −3.76503 | − | 7.17536i | −0.146002 | − | 0.278249i | ||||
\(666\) | 1.02175 | − | 19.2629i | 0.0395920 | − | 0.746424i | ||||
\(667\) | − | 1.91967i | − | 0.0743300i | ||||||
\(668\) | 3.65654 | + | 2.11110i | 0.141476 | + | 0.0816811i | ||||
\(669\) | 14.4538 | + | 25.0348i | 0.558818 | + | 0.967901i | ||||
\(670\) | −41.0846 | − | 25.9859i | −1.58724 | − | 1.00392i | ||||
\(671\) | 23.7544 | + | 41.1439i | 0.917029 | + | 1.58834i | ||||
\(672\) | 41.0314i | 1.58282i | ||||||||
\(673\) | 11.2215 | − | 6.47874i | 0.432557 | − | 0.249737i | −0.267878 | − | 0.963453i | \(-0.586322\pi\) |
0.700435 | + | 0.713716i | \(0.252989\pi\) | |||||||
\(674\) | 59.2638 | 2.28276 | ||||||||
\(675\) | −15.3625 | + | 7.28594i | −0.591304 | + | 0.280436i | ||||
\(676\) | 73.9967 | 2.84603 | ||||||||
\(677\) | 44.3844i | 1.70583i | 0.522049 | + | 0.852915i | \(0.325168\pi\) | ||||
−0.522049 | + | 0.852915i | \(0.674832\pi\) | |||||||
\(678\) | 24.8812 | + | 14.3652i | 0.955556 | + | 0.551690i | ||||
\(679\) | −15.4959 | − | 26.8396i | −0.594677 | − | 1.03001i | ||||
\(680\) | 18.2072 | − | 9.55361i | 0.698214 | − | 0.366364i | ||||
\(681\) | 7.90497 | − | 13.6918i | 0.302919 | − | 0.524671i | ||||
\(682\) | 13.5233 | + | 7.80767i | 0.517833 | + | 0.298971i | ||||
\(683\) | −11.0956 | − | 6.40603i | −0.424560 | − | 0.245120i | 0.272466 | − | 0.962165i | \(-0.412161\pi\) |
−0.697026 | + | 0.717045i | \(0.745494\pi\) | |||||||
\(684\) | −2.18245 | − | 3.78011i | −0.0834480 | − | 0.144536i | ||||
\(685\) | −7.17390 | + | 11.3422i | −0.274101 | + | 0.433362i | ||||
\(686\) | −1.75983 | + | 3.04811i | −0.0671905 | + | 0.116377i | ||||
\(687\) | −40.2786 | − | 23.2549i | −1.53672 | − | 0.887229i | ||||
\(688\) | −1.66667 | − | 0.962251i | −0.0635411 | − | 0.0366855i | ||||
\(689\) | −11.4655 | −0.436801 | ||||||||
\(690\) | 1.71529 | − | 2.71193i | 0.0653001 | − | 0.103242i | ||||
\(691\) | −11.6965 | + | 20.2589i | −0.444954 | + | 0.770683i | −0.998049 | − | 0.0624352i | \(-0.980113\pi\) |
0.553095 | + | 0.833118i | \(0.313447\pi\) | |||||||
\(692\) | − | 35.6049i | − | 1.35350i | ||||||
\(693\) | − | 20.7950i | − | 0.789938i | ||||||
\(694\) | −24.2408 | + | 41.9863i | −0.920169 | + | 1.59378i | ||||
\(695\) | −13.5719 | + | 7.12141i | −0.514812 | + | 0.270130i | ||||
\(696\) | −20.6744 | − | 35.8092i | −0.783663 | − | 1.35734i | ||||
\(697\) | 23.3997i | 0.886327i | ||||||||
\(698\) | −31.3236 | + | 18.0847i | −1.18561 | + | 0.684515i | ||||
\(699\) | 5.70132 | + | 9.87497i | 0.215644 | + | 0.373506i | ||||
\(700\) | 5.09158 | − | 62.9175i | 0.192444 | − | 2.37806i | ||||
\(701\) | −1.40986 | + | 2.44194i | −0.0532496 | + | 0.0922310i | −0.891422 | − | 0.453175i | \(-0.850291\pi\) |
0.838172 | + | 0.545406i | \(0.183625\pi\) | |||||||
\(702\) | 46.5924i | 1.75852i | ||||||||
\(703\) | −5.80031 | − | 0.307662i | −0.218763 | − | 0.0116037i | ||||
\(704\) | −50.8789 | −1.91757 | ||||||||
\(705\) | 0.635782 | − | 15.7386i | 0.0239449 | − | 0.592751i | ||||
\(706\) | −24.1362 | − | 41.8051i | −0.908378 | − | 1.57336i | ||||
\(707\) | −13.7874 | + | 7.96014i | −0.518528 | + | 0.299372i | ||||
\(708\) | 34.9526 | − | 20.1799i | 1.31360 | − | 0.758407i | ||||
\(709\) | 12.8646 | 0.483140 | 0.241570 | − | 0.970383i | \(-0.422338\pi\) | ||||
0.241570 | + | 0.970383i | \(0.422338\pi\) | |||||||
\(710\) | −35.3826 | + | 55.9410i | −1.32789 | + | 2.09943i | ||||
\(711\) | 13.4931 | 0.506030 | ||||||||
\(712\) | −12.3161 | − | 7.11072i | −0.461566 | − | 0.266485i | ||||
\(713\) | − | 0.504398i | − | 0.0188898i | ||||||
\(714\) | −55.0119 | −2.05877 | ||||||||
\(715\) | 52.8953 | + | 2.13678i | 1.97817 | + | 0.0799109i | ||||
\(716\) | 13.0889 | + | 22.6706i | 0.489155 | + | 0.847242i | ||||
\(717\) | 53.1972i | 1.98669i | ||||||||
\(718\) | −9.85275 | − | 5.68849i | −0.367701 | − | 0.212293i | ||||
\(719\) | 19.4619 | − | 33.7091i | 0.725807 | − | 1.25714i | −0.232833 | − | 0.972517i | \(-0.574800\pi\) |
0.958641 | − | 0.284619i | \(-0.0918670\pi\) | |||||||
\(720\) | 0.0512677 | − | 1.26912i | 0.00191063 | − | 0.0472972i | ||||
\(721\) | −28.0983 | − | 48.6676i | −1.04643 | − | 1.81248i | ||||
\(722\) | 36.1537 | − | 20.8734i | 1.34550 | − | 0.776826i | ||||
\(723\) | 43.6227 | + | 25.1856i | 1.62235 | + | 0.936662i | ||||
\(724\) | −20.2576 | + | 35.0873i | −0.752869 | + | 1.30401i | ||||
\(725\) | −13.8346 | − | 29.1706i | −0.513806 | − | 1.08337i | ||||
\(726\) | 23.6689 | 0.878434 | ||||||||
\(727\) | −7.10072 | + | 4.09960i | −0.263351 | + | 0.152046i | −0.625862 | − | 0.779934i | \(-0.715253\pi\) |
0.362511 | + | 0.931979i | \(0.381919\pi\) | |||||||
\(728\) | −59.7407 | − | 34.4913i | −2.21414 | − | 1.27833i | ||||
\(729\) | −5.89962 | −0.218504 | ||||||||
\(730\) | 3.48689 | − | 1.82963i | 0.129056 | − | 0.0677176i | ||||
\(731\) | −6.99035 | + | 12.1076i | −0.258547 | + | 0.447817i | ||||
\(732\) | − | 82.8857i | − | 3.06354i | ||||||
\(733\) | −25.6948 | + | 14.8349i | −0.949058 | + | 0.547939i | −0.892788 | − | 0.450477i | \(-0.851254\pi\) |
−0.0562697 | + | 0.998416i | \(0.517921\pi\) | |||||||
\(734\) | 47.4900 | 1.75289 | ||||||||
\(735\) | −18.5035 | + | 29.2546i | −0.682512 | + | 1.07907i | ||||
\(736\) | 0.768478 | + | 1.33104i | 0.0283265 | + | 0.0490629i | ||||
\(737\) | −32.5324 | + | 18.7826i | −1.19835 | + | 0.691865i | ||||
\(738\) | 21.3991 | + | 12.3548i | 0.787711 | + | 0.454785i | ||||
\(739\) | −6.71429 | −0.246989 | −0.123495 | − | 0.992345i | \(-0.539410\pi\) | ||||
−0.123495 | + | 0.992345i | \(0.539410\pi\) | |||||||
\(740\) | −36.9057 | − | 26.1786i | −1.35668 | − | 0.962344i | ||||
\(741\) | −11.8561 | −0.435545 | ||||||||
\(742\) | 14.6495 | + | 8.45788i | 0.537799 | + | 0.310498i | ||||
\(743\) | 16.3910 | − | 9.46336i | 0.601328 | − | 0.347177i | −0.168236 | − | 0.985747i | \(-0.553807\pi\) |
0.769564 | + | 0.638570i | \(0.220474\pi\) | |||||||
\(744\) | −5.43225 | − | 9.40894i | −0.199156 | − | 0.344948i | ||||
\(745\) | 30.5879 | + | 19.3468i | 1.12066 | + | 0.708812i | ||||
\(746\) | 59.2982 | 2.17106 | ||||||||
\(747\) | −18.5041 | + | 10.6833i | −0.677029 | + | 0.390883i | ||||
\(748\) | − | 39.8413i | − | 1.45674i | ||||||
\(749\) | 21.5843 | − | 37.3851i | 0.788672 | − | 1.36602i | ||||
\(750\) | 6.52063 | − | 53.5712i | 0.238100 | − | 1.95614i | ||||
\(751\) | −30.3147 | −1.10620 | −0.553099 | − | 0.833115i | \(-0.686555\pi\) | ||||
−0.553099 | + | 0.833115i | \(0.686555\pi\) | |||||||
\(752\) | −1.20584 | − | 0.696195i | −0.0439726 | − | 0.0253876i | ||||
\(753\) | 19.4587 | − | 11.2345i | 0.709114 | − | 0.409407i | ||||
\(754\) | −88.4704 | −3.22190 | ||||||||
\(755\) | −0.962398 | + | 23.8239i | −0.0350253 | + | 0.867040i | ||||
\(756\) | 21.4653 | − | 37.1790i | 0.780686 | − | 1.35219i | ||||
\(757\) | −9.57083 | − | 5.52572i | −0.347858 | − | 0.200836i | 0.315884 | − | 0.948798i | \(-0.397699\pi\) |
−0.663741 | + | 0.747962i | \(0.731032\pi\) | |||||||
\(758\) | −59.2100 | + | 34.1849i | −2.15060 | + | 1.24165i | ||||
\(759\) | −1.23981 | − | 2.14741i | −0.0450022 | − | 0.0779461i | ||||
\(760\) | −6.53255 | − | 0.263891i | −0.236960 | − | 0.00957233i | ||||
\(761\) | −13.3624 | + | 23.1444i | −0.484388 | + | 0.838984i | −0.999839 | − | 0.0179345i | \(-0.994291\pi\) |
0.515451 | + | 0.856919i | \(0.327624\pi\) | |||||||
\(762\) | −25.8138 | − | 14.9036i | −0.935135 | − | 0.539900i | ||||
\(763\) | 38.0222i | 1.37650i | ||||||||
\(764\) | −40.5229 | − | 70.1877i | −1.46607 | − | 2.53930i | ||||
\(765\) | −9.21961 | − | 0.372438i | −0.333336 | − | 0.0134655i | ||||
\(766\) | −21.4953 | −0.776657 | ||||||||
\(767\) | − | 34.4379i | − | 1.24348i | ||||||
\(768\) | 33.6518 | + | 19.4289i | 1.21431 | + | 0.701079i | ||||
\(769\) | 28.3203 | 1.02126 | 0.510628 | − | 0.859802i | \(-0.329413\pi\) | ||||
0.510628 | + | 0.859802i | \(0.329413\pi\) | |||||||
\(770\) | −66.0079 | − | 41.7499i | −2.37876 | − | 1.50456i | ||||
\(771\) | 47.7210 | 1.71863 | ||||||||
\(772\) | 23.4941 | − | 13.5643i | 0.845572 | − | 0.488191i | ||||
\(773\) | −14.2311 | + | 8.21633i | −0.511857 | + | 0.295521i | −0.733597 | − | 0.679585i | \(-0.762160\pi\) |
0.221739 | + | 0.975106i | \(0.428827\pi\) | |||||||
\(774\) | 7.38164 | + | 12.7854i | 0.265328 | + | 0.459561i | ||||
\(775\) | −3.63508 | − | 7.66463i | −0.130576 | − | 0.275322i | ||||
\(776\) | −25.0051 | −0.897630 | ||||||||
\(777\) | 21.8907 | + | 43.0301i | 0.785323 | + | 1.54370i | ||||
\(778\) | 39.3630i | 1.41123i | ||||||||
\(779\) | 3.72018 | − | 6.44353i | 0.133289 | − | 0.230864i | ||||
\(780\) | −78.0556 | − | 49.3700i | −2.79484 | − | 1.76773i | ||||
\(781\) | 25.5745 | + | 44.2963i | 0.915126 | + | 1.58504i | ||||
\(782\) | −1.78457 | + | 1.03032i | −0.0638159 | + | 0.0368441i | ||||
\(783\) | − | 21.9573i | − | 0.784690i | ||||||
\(784\) | 1.52995 | + | 2.64995i | 0.0546411 | + | 0.0946412i | ||||
\(785\) | −10.0909 | − | 19.2312i | −0.360160 | − | 0.686390i | ||||
\(786\) | −9.52781 | + | 16.5026i | −0.339846 | + | 0.588630i | ||||
\(787\) | 4.73135i | 0.168655i | 0.996438 | + | 0.0843273i | \(0.0268741\pi\) | ||||
−0.996438 | + | 0.0843273i | \(0.973126\pi\) | |||||||
\(788\) | − | 3.06308i | − | 0.109118i | ||||||
\(789\) | 8.12357 | − | 14.0704i | 0.289207 | − | 0.500921i | ||||
\(790\) | 27.0899 | − | 42.8300i | 0.963815 | − | 1.52382i | ||||
\(791\) | −22.5881 | −0.803140 | ||||||||
\(792\) | −14.5302 | − | 8.38902i | −0.516309 | − | 0.298091i | ||||
\(793\) | −61.2488 | − | 35.3620i | −2.17501 | − | 1.25574i | ||||
\(794\) | −16.2511 | + | 28.1478i | −0.576731 | + | 0.998927i | ||||
\(795\) | 7.63324 | + | 4.82801i | 0.270723 | + | 0.171232i | ||||
\(796\) | 32.1036 | + | 55.6050i | 1.13788 | + | 1.97087i | ||||
\(797\) | 29.3728 | + | 16.9584i | 1.04044 | + | 0.600698i | 0.919958 | − | 0.392018i | \(-0.128223\pi\) |
0.120482 | + | 0.992716i | \(0.461556\pi\) | |||||||
\(798\) | 15.1485 | + | 8.74601i | 0.536252 | + | 0.309605i | ||||
\(799\) | −5.05756 | + | 8.75995i | −0.178924 | + | 0.309905i | ||||
\(800\) | 21.2700 | + | 14.6878i | 0.752009 | + | 0.519291i | ||||
\(801\) | 3.19099 | + | 5.52696i | 0.112748 | + | 0.195286i | ||||
\(802\) | −62.4930 | − | 36.0803i | −2.20670 | − | 1.27404i | ||||
\(803\) | − | 3.04287i | − | 0.107380i | ||||||
\(804\) | 65.5376 | 2.31133 | ||||||||
\(805\) | −0.101831 | + | 2.52079i | −0.00358906 | + | 0.0888461i | ||||
\(806\) | −23.2458 | −0.818798 | ||||||||
\(807\) | 21.1610 | − | 12.2173i | 0.744904 | − | 0.430070i | ||||
\(808\) | 12.8450i | 0.451884i | ||||||||
\(809\) | 16.6274 | + | 28.7996i | 0.584589 | + | 1.01254i | 0.994926 | + | 0.100605i | \(0.0320777\pi\) |
−0.410337 | + | 0.911934i | \(0.634589\pi\) | |||||||
\(810\) | 30.9913 | − | 48.9982i | 1.08892 | − | 1.72162i | ||||
\(811\) | 11.2954 | + | 19.5642i | 0.396635 | + | 0.686993i | 0.993308 | − | 0.115492i | \(-0.0368444\pi\) |
−0.596673 | + | 0.802484i | \(0.703511\pi\) | |||||||
\(812\) | 70.5960 | + | 40.7586i | 2.47744 | + | 1.43035i | ||||
\(813\) | 16.4627i | 0.577373i | ||||||||
\(814\) | −49.8995 | + | 25.3853i | −1.74898 | + | 0.889754i | ||||
\(815\) | 1.23114 | + | 2.34630i | 0.0431251 | + | 0.0821874i | ||||
\(816\) | −1.29825 | + | 2.24863i | −0.0454477 | + | 0.0787177i | ||||
\(817\) | 3.84984 | − | 2.22271i | 0.134689 | − | 0.0777626i | ||||
\(818\) | −23.6306 | + | 13.6431i | −0.826225 | + | 0.477021i | ||||
\(819\) | 15.4783 | + | 26.8091i | 0.540854 | + | 0.936787i | ||||
\(820\) | 51.3236 | − | 26.9303i | 1.79230 | − | 0.940447i | ||||
\(821\) | 17.8443 | + | 30.9072i | 0.622770 | + | 1.07867i | 0.988968 | + | 0.148132i | \(0.0473261\pi\) |
−0.366197 | + | 0.930537i | \(0.619341\pi\) | |||||||
\(822\) | − | 28.9703i | − | 1.01046i | ||||||
\(823\) | 5.21625 | + | 3.01160i | 0.181827 | + | 0.104978i | 0.588151 | − | 0.808751i | \(-0.299856\pi\) |
−0.406324 | + | 0.913729i | \(0.633189\pi\) | |||||||
\(824\) | −45.3410 | −1.57953 | ||||||||
\(825\) | −34.3156 | − | 23.6962i | −1.19472 | − | 0.824997i | ||||
\(826\) | −25.4041 | + | 44.0013i | −0.883923 | + | 1.53100i | ||||
\(827\) | −19.8119 | + | 11.4384i | −0.688926 | + | 0.397752i | −0.803210 | − | 0.595696i | \(-0.796876\pi\) |
0.114283 | + | 0.993448i | \(0.463543\pi\) | |||||||
\(828\) | 1.35897i | 0.0472275i | ||||||||
\(829\) | 7.39881 | − | 12.8151i | 0.256971 | − | 0.445087i | −0.708458 | − | 0.705753i | \(-0.750609\pi\) |
0.965429 | + | 0.260666i | \(0.0839421\pi\) | |||||||
\(830\) | −3.23917 | + | 80.1848i | −0.112433 | + | 2.78325i | ||||
\(831\) | −12.8384 | + | 22.2368i | −0.445359 | + | 0.771384i | ||||
\(832\) | 65.5935 | − | 37.8704i | 2.27405 | − | 1.31292i | ||||
\(833\) | 19.2508 | − | 11.1144i | 0.667000 | − | 0.385093i | ||||
\(834\) | 16.5427 | − | 28.6528i | 0.572828 | − | 0.992167i | ||||
\(835\) | −2.83570 | − | 0.114552i | −0.0981335 | − | 0.00396424i | ||||
\(836\) | −6.33413 | + | 10.9710i | −0.219070 | + | 0.379441i | ||||
\(837\) | − | 5.76932i | − | 0.199417i | ||||||
\(838\) | 47.8489 | − | 27.6256i | 1.65291 | − | 0.954309i | ||||
\(839\) | 16.4019 | − | 28.4090i | 0.566258 | − | 0.980787i | −0.430674 | − | 0.902508i | \(-0.641724\pi\) |
0.996931 | − | 0.0782792i | \(-0.0249426\pi\) | |||||||
\(840\) | 25.2488 | + | 48.1190i | 0.871167 | + | 1.66026i | ||||
\(841\) | 12.6929 | 0.437684 | ||||||||
\(842\) | −67.8998 | − | 39.2020i | −2.33998 | − | 1.35099i | ||||
\(843\) | − | 56.1276i | − | 1.93314i | ||||||
\(844\) | −2.59109 | − | 4.48790i | −0.0891890 | − | 0.154480i | ||||
\(845\) | −44.0430 | + | 23.1101i | −1.51513 | + | 0.795011i | ||||
\(846\) | 5.34066 | + | 9.25030i | 0.183616 | + | 0.318032i | ||||
\(847\) | −16.1156 | + | 9.30436i | −0.553739 | + | 0.319702i | ||||
\(848\) | 0.691436 | − | 0.399201i | 0.0237440 | − | 0.0137086i | ||||
\(849\) | −10.5795 | + | 18.3242i | −0.363088 | + | 0.628886i | ||||
\(850\) | −19.6923 | + | 28.5173i | −0.675440 | + | 0.978135i | ||||
\(851\) | 1.51604 | + | 0.985891i | 0.0519691 | + | 0.0337959i | ||||
\(852\) | − | 89.2363i | − | 3.05719i | ||||||
\(853\) | 42.0097 | + | 24.2543i | 1.43838 | + | 0.830451i | 0.997738 | − | 0.0672295i | \(-0.0214160\pi\) |
0.440646 | + | 0.897681i | \(0.354749\pi\) | |||||||
\(854\) | 52.1717 | + | 90.3640i | 1.78528 | + | 3.09219i | ||||
\(855\) | 2.47957 | + | 1.56833i | 0.0847996 | + | 0.0536356i | ||||
\(856\) | −17.4148 | − | 30.1634i | −0.595227 | − | 1.03096i | ||||
\(857\) | − | 20.2397i | − | 0.691375i | −0.938350 | − | 0.345688i | \(-0.887646\pi\) | ||
0.938350 | − | 0.345688i | \(-0.112354\pi\) | |||||||
\(858\) | −98.9661 | + | 57.1381i | −3.37865 | + | 1.95066i | ||||
\(859\) | −19.3199 | −0.659185 | −0.329592 | − | 0.944123i | \(-0.606911\pi\) | ||||
−0.329592 | + | 0.944123i | \(0.606911\pi\) | |||||||
\(860\) | 34.6013 | + | 1.39776i | 1.17989 | + | 0.0476634i | ||||
\(861\) | −61.8421 | −2.10757 | ||||||||
\(862\) | 70.9443i | 2.41637i | ||||||||
\(863\) | −16.8755 | − | 9.74306i | −0.574448 | − | 0.331658i | 0.184476 | − | 0.982837i | \(-0.440941\pi\) |
−0.758924 | + | 0.651179i | \(0.774275\pi\) | |||||||
\(864\) | 8.78989 | + | 15.2245i | 0.299038 | + | 0.517949i | ||||
\(865\) | 11.1199 | + | 21.1921i | 0.378086 | + | 0.720554i | ||||
\(866\) | 6.48699 | − | 11.2358i | 0.220437 | − | 0.381808i | ||||
\(867\) | −14.4555 | − | 8.34589i | −0.490935 | − | 0.283441i | ||||
\(868\) | 18.5493 | + | 10.7094i | 0.629603 | + | 0.363501i | ||||
\(869\) | −19.5805 | − | 33.9144i | −0.664223 | − | 1.15047i | ||||
\(870\) | 58.8997 | + | 37.2540i | 1.99689 | + | 1.26303i | ||||
\(871\) | 27.9607 | − | 48.4293i | 0.947412 | − | 1.64097i | ||||
\(872\) | 26.5675 | + | 15.3387i | 0.899688 | + | 0.519435i | ||||
\(873\) | 9.71788 | + | 5.61062i | 0.328900 | + | 0.189891i | ||||
\(874\) | 0.655217 | 0.0221630 | ||||||||
\(875\) | 16.6194 | + | 39.0388i | 0.561838 | + | 1.31975i | ||||
\(876\) | −2.65435 | + | 4.59747i | −0.0896822 | + | 0.155334i | ||||
\(877\) | − | 24.2275i | − | 0.818103i | −0.912511 | − | 0.409051i | \(-0.865860\pi\) | ||
0.912511 | − | 0.409051i | \(-0.134140\pi\) | |||||||
\(878\) | − | 7.17046i | − | 0.241991i | ||||||
\(879\) | 18.2077 | − | 31.5367i | 0.614132 | − | 1.06371i | ||||
\(880\) | −3.26428 | + | 1.71282i | −0.110039 | + | 0.0577392i | ||||
\(881\) | −4.63680 | − | 8.03118i | −0.156218 | − | 0.270577i | 0.777284 | − | 0.629150i | \(-0.216597\pi\) |
−0.933502 | + | 0.358573i | \(0.883264\pi\) | |||||||
\(882\) | − | 23.4732i | − | 0.790383i | ||||||
\(883\) | 39.8672 | − | 23.0173i | 1.34164 | − | 0.774595i | 0.354590 | − | 0.935022i | \(-0.384621\pi\) |
0.987048 | + | 0.160427i | \(0.0512872\pi\) | |||||||
\(884\) | 29.6549 | + | 51.3638i | 0.997403 | + | 1.72755i | ||||
\(885\) | −14.5014 | + | 22.9273i | −0.487461 | + | 0.770691i | ||||
\(886\) | 11.6824 | − | 20.2345i | 0.392479 | − | 0.679793i | ||||
\(887\) | 5.69793i | 0.191318i | 0.995414 | + | 0.0956589i | \(0.0304958\pi\) | ||||
−0.995414 | + | 0.0956589i | \(0.969504\pi\) | |||||||
\(888\) | 38.8977 | + | 2.06322i | 1.30532 | + | 0.0692372i | ||||
\(889\) | 23.4347 | 0.785976 | ||||||||
\(890\) | 23.9503 | + | 0.967505i | 0.802816 | + | 0.0324308i | ||||
\(891\) | −22.4004 | − | 38.7987i | −0.750443 | − | 1.29980i | ||||
\(892\) | −39.8209 | + | 22.9906i | −1.33330 | + | 0.769783i | ||||
\(893\) | 2.78538 | − | 1.60814i | 0.0932093 | − | 0.0538144i | ||||
\(894\) | −78.1282 | −2.61300 | ||||||||
\(895\) | −14.8709 | − | 9.40579i | −0.497078 | − | 0.314401i | ||||
\(896\) | −72.5072 | −2.42229 | ||||||||
\(897\) | 3.19675 | + | 1.84564i | 0.106736 | + | 0.0616242i | ||||
\(898\) | − | 13.2931i | − | 0.443596i | ||||||
\(899\) | 10.9549 | 0.365366 | ||||||||
\(900\) | 9.79379 | + | 20.6504i | 0.326460 | + | 0.688346i | ||||
\(901\) | −2.90003 | − | 5.02299i | −0.0966139 | − | 0.167340i | ||||
\(902\) | − | 71.7146i | − | 2.38783i | ||||||
\(903\) | −31.9988 | − | 18.4745i | −1.06485 | − | 0.614793i | ||||
\(904\) | −9.11237 | + | 15.7831i | −0.303073 | + | 0.524938i | ||||
\(905\) | 1.09921 | − | 27.2107i | 0.0365391 | − | 0.904515i | ||||
\(906\) | −25.7349 | − | 44.5741i | −0.854984 | − | 1.48087i | ||||
\(907\) | −14.5959 | + | 8.42695i | −0.484649 | + | 0.279812i | −0.722352 | − | 0.691526i | \(-0.756939\pi\) |
0.237703 | + | 0.971338i | \(0.423606\pi\) | |||||||
\(908\) | 21.7785 | + | 12.5738i | 0.722746 | + | 0.417277i | ||||
\(909\) | 2.88214 | − | 4.99202i | 0.0955947 | − | 0.165575i | ||||
\(910\) | 116.174 | + | 4.69299i | 3.85112 | + | 0.155571i | ||||
\(911\) | −5.61622 | −0.186074 | −0.0930368 | − | 0.995663i | \(-0.529657\pi\) | ||||
−0.0930368 | + | 0.995663i | \(0.529657\pi\) | |||||||
\(912\) | 0.714991 | − | 0.412800i | 0.0236757 | − | 0.0136692i | ||||
\(913\) | 53.7045 | + | 31.0063i | 1.77736 | + | 1.02616i | ||||
\(914\) | 6.33936 | 0.209687 | ||||||||
\(915\) | 25.8862 | + | 49.3337i | 0.855772 | + | 1.63092i | ||||
\(916\) | 36.9898 | − | 64.0682i | 1.22218 | − | 2.11687i | ||||
\(917\) | − | 14.9817i | − | 0.494740i | ||||||
\(918\) | −20.4119 | + | 11.7848i | −0.673695 | + | 0.388958i | ||||
\(919\) | −22.4366 | −0.740114 | −0.370057 | − | 0.929009i | \(-0.620662\pi\) | ||||
−0.370057 | + | 0.929009i | \(0.620662\pi\) | |||||||
\(920\) | 1.72028 | + | 1.08808i | 0.0567161 | + | 0.0358728i | ||||
\(921\) | 19.2241 | + | 33.2971i | 0.633455 | + | 1.09718i | ||||
\(922\) | −32.7652 | + | 18.9170i | −1.07907 | + | 0.622999i | ||||
\(923\) | −65.9417 | − | 38.0714i | −2.17050 | − | 1.25314i | ||||
\(924\) | 105.295 | 3.46395 | ||||||||
\(925\) | 30.1422 | + | 4.05547i | 0.991070 | + | 0.133343i | ||||
\(926\) | 40.4377 | 1.32886 | ||||||||
\(927\) | 17.6212 | + | 10.1736i | 0.578755 | + | 0.334144i | ||||
\(928\) | −28.9086 | + | 16.6904i | −0.948970 | + | 0.547888i | ||||
\(929\) | −4.84876 | − | 8.39830i | −0.159083 | − | 0.275539i | 0.775455 | − | 0.631402i | \(-0.217520\pi\) |
−0.934538 | + | 0.355863i | \(0.884187\pi\) | |||||||
\(930\) | 15.4760 | + | 9.78856i | 0.507479 | + | 0.320979i | ||||
\(931\) | −7.06807 | −0.231647 | ||||||||
\(932\) | −15.7074 | + | 9.06866i | −0.514512 | + | 0.297054i | ||||
\(933\) | − | 32.3881i | − | 1.06034i | ||||||
\(934\) | 6.27888 | − | 10.8753i | 0.205451 | − | 0.355852i | ||||
\(935\) | 12.4429 | + | 23.7137i | 0.406927 | + | 0.775519i | ||||
\(936\) | 24.9767 | 0.816387 | ||||||||
\(937\) | −12.6815 | − | 7.32166i | −0.414286 | − | 0.239188i | 0.278344 | − | 0.960482i | \(-0.410215\pi\) |
−0.692630 | + | 0.721293i | \(0.743548\pi\) | |||||||
\(938\) | −71.4507 | + | 41.2521i | −2.33295 | + | 1.34693i | ||||
\(939\) | 24.6039 | 0.802918 | ||||||||
\(940\) | 25.0342 | + | 1.01129i | 0.816527 | + | 0.0329847i | ||||
\(941\) | −17.4688 | + | 30.2569i | −0.569467 | + | 0.986346i | 0.427151 | + | 0.904180i | \(0.359517\pi\) |
−0.996619 | + | 0.0821660i | \(0.973816\pi\) | |||||||
\(942\) | 40.6006 | + | 23.4408i | 1.32284 | + | 0.763741i | ||||
\(943\) | −2.00613 | + | 1.15824i | −0.0653287 | + | 0.0377175i | ||||
\(944\) | 1.19904 | + | 2.07680i | 0.0390255 | + | 0.0675942i | ||||
\(945\) | −1.16474 | + | 28.8329i | −0.0378891 | + | 0.937934i | ||||
\(946\) | 21.4238 | − | 37.1071i | 0.696547 | − | 1.20645i | ||||
\(947\) | 40.5223 | + | 23.3956i | 1.31680 | + | 0.760253i | 0.983212 | − | 0.182467i | \(-0.0584081\pi\) |
0.333585 | + | 0.942720i | \(0.391741\pi\) | |||||||
\(948\) | 68.3218i | 2.21899i | ||||||||
\(949\) | 2.26488 | + | 3.92289i | 0.0735212 | + | 0.127342i | ||||
\(950\) | 9.95642 | − | 4.72200i | 0.323029 | − | 0.153202i | ||||
\(951\) | −11.1701 | −0.362215 | ||||||||
\(952\) | − | 34.8962i | − | 1.13099i | ||||||
\(953\) | −30.2986 | − | 17.4929i | −0.981468 | − | 0.566651i | −0.0787553 | − | 0.996894i | \(-0.525095\pi\) |
−0.902713 | + | 0.430243i | \(0.858428\pi\) | |||||||
\(954\) | −6.12472 | −0.198295 | ||||||||
\(955\) | 46.0397 | + | 29.1201i | 1.48981 | + | 0.942303i | ||||
\(956\) | −84.6168 | −2.73670 | ||||||||
\(957\) | 46.6391 | − | 26.9271i | 1.50763 | − | 0.870429i | ||||
\(958\) | 32.1046 | − | 18.5356i | 1.03725 | − | 0.598858i | ||||
\(959\) | 11.3884 | + | 19.7253i | 0.367751 | + | 0.636963i | ||||
\(960\) | −59.6161 | − | 2.40827i | −1.92410 | − | 0.0777267i | ||||
\(961\) | −28.1216 | −0.907148 | ||||||||
\(962\) | 45.4360 | − | 69.8684i | 1.46491 | − | 2.25265i | ||||
\(963\) | 15.6301i | 0.503673i | ||||||||
\(964\) | −40.0608 | + | 69.3873i | −1.29027 | + | 2.23482i | ||||
\(965\) | −9.74745 | + | 15.4110i | −0.313781 | + | 0.496099i | ||||
\(966\) | −2.72299 | − | 4.71635i | −0.0876106 | − | 0.151746i | ||||
\(967\) | −38.3189 | + | 22.1234i | −1.23225 | + | 0.711441i | −0.967499 | − | 0.252876i | \(-0.918624\pi\) |
−0.264753 | + | 0.964316i | \(0.585290\pi\) | |||||||
\(968\) | 15.0141i | 0.482571i | ||||||||
\(969\) | −2.99882 | − | 5.19411i | −0.0963360 | − | 0.166859i | ||||
\(970\) | 37.3198 | − | 19.5823i | 1.19827 | − | 0.628750i | ||||
\(971\) | 1.02283 | − | 1.77159i | 0.0328240 | − | 0.0568529i | −0.849147 | − | 0.528157i | \(-0.822883\pi\) |
0.881971 | + | 0.471304i | \(0.156217\pi\) | |||||||
\(972\) | 44.2238i | 1.41848i | ||||||||
\(973\) | 26.0121i | 0.833911i | ||||||||
\(974\) | −34.6597 | + | 60.0324i | −1.11057 | + | 1.92356i | ||||
\(975\) | 61.8777 | + | 5.00743i | 1.98167 | + | 0.160366i | ||||
\(976\) | 4.92487 | 0.157641 | ||||||||
\(977\) | 12.1505 | + | 7.01509i | 0.388729 | + | 0.224433i | 0.681609 | − | 0.731716i | \(-0.261280\pi\) |
−0.292881 | + | 0.956149i | \(0.594614\pi\) | |||||||
\(978\) | −4.95348 | − | 2.85989i | −0.158395 | − | 0.0914493i | ||||
\(979\) | 9.26123 | − | 16.0409i | 0.295990 | − | 0.512670i | ||||
\(980\) | −46.5332 | − | 29.4321i | −1.48645 | − | 0.940176i | ||||
\(981\) | −6.88339 | − | 11.9224i | −0.219770 | − | 0.380652i | ||||
\(982\) | −3.17597 | − | 1.83365i | −0.101349 | − | 0.0585140i | ||||
\(983\) | 42.2609 | + | 24.3994i | 1.34791 | + | 0.778219i | 0.987954 | − | 0.154749i | \(-0.0494568\pi\) |
0.359961 | + | 0.932967i | \(0.382790\pi\) | |||||||
\(984\) | −24.9480 | + | 43.2112i | −0.795314 | + | 1.37752i | ||||
\(985\) | 0.956637 | + | 1.82315i | 0.0304810 | + | 0.0580905i | ||||
\(986\) | −22.3772 | − | 38.7585i | −0.712636 | − | 1.23432i | ||||
\(987\) | −23.1513 | − | 13.3664i | −0.736914 | − | 0.425457i | ||||
\(988\) | − | 18.8586i | − | 0.599973i | ||||||
\(989\) | −1.38404 | −0.0440098 | ||||||||
\(990\) | 28.2559 | + | 1.14143i | 0.898032 | + | 0.0362772i | ||||
\(991\) | −22.0622 | −0.700829 | −0.350414 | − | 0.936595i | \(-0.613959\pi\) | ||||
−0.350414 | + | 0.936595i | \(0.613959\pi\) | |||||||
\(992\) | −7.59578 | + | 4.38543i | −0.241166 | + | 0.139237i | ||||
\(993\) | 8.58262i | 0.272361i | ||||||||
\(994\) | 56.1690 | + | 97.2876i | 1.78157 | + | 3.08578i | ||||
\(995\) | −36.4742 | − | 23.0699i | −1.15631 | − | 0.731365i | ||||
\(996\) | −54.0947 | − | 93.6948i | −1.71406 | − | 2.96883i | ||||
\(997\) | −36.0049 | − | 20.7874i | −1.14029 | − | 0.658344i | −0.193785 | − | 0.981044i | \(-0.562076\pi\) |
−0.946501 | + | 0.322700i | \(0.895410\pi\) | |||||||
\(998\) | − | 57.0418i | − | 1.80563i | ||||||
\(999\) | 17.3405 | + | 11.2767i | 0.548629 | + | 0.356778i |
(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 | 185.2.n.a.84.17 | yes | 36 | |
5.2 | odd | 4 | 925.2.e.f.676.2 | 36 | |||
5.3 | odd | 4 | 925.2.e.f.676.17 | 36 | |||
5.4 | even | 2 | inner | 185.2.n.a.84.2 | ✓ | 36 | |
37.26 | even | 3 | inner | 185.2.n.a.174.2 | yes | 36 | |
185.63 | odd | 12 | 925.2.e.f.26.17 | 36 | |||
185.137 | odd | 12 | 925.2.e.f.26.2 | 36 | |||
185.174 | even | 6 | inner | 185.2.n.a.174.17 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.n.a.84.2 | ✓ | 36 | 5.4 | even | 2 | inner | |
185.2.n.a.84.17 | yes | 36 | 1.1 | even | 1 | trivial | |
185.2.n.a.174.2 | yes | 36 | 37.26 | even | 3 | inner | |
185.2.n.a.174.17 | yes | 36 | 185.174 | even | 6 | inner | |
925.2.e.f.26.2 | 36 | 185.137 | odd | 12 | |||
925.2.e.f.26.17 | 36 | 185.63 | odd | 12 | |||
925.2.e.f.676.2 | 36 | 5.2 | odd | 4 | |||
925.2.e.f.676.17 | 36 | 5.3 | odd | 4 |