Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(61,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.k (of order \(2\), degree \(1\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.399424.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 3x^{4} - 6x^{3} + 6x^{2} - 8x + 8 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 61.5 | ||
Root | \(1.40680 + 0.144584i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.61 |
Dual form | 120.2.k.b.61.6 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40680 | − | 0.144584i | 0.994760 | − | 0.102237i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 1.95819 | − | 0.406803i | 0.979095 | − | 0.203402i | ||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0.144584 | + | 1.40680i | 0.0590263 | + | 0.574325i | ||||
\(7\) | −3.62721 | −1.37096 | −0.685479 | − | 0.728093i | \(-0.740407\pi\) | ||||
−0.685479 | + | 0.728093i | \(0.740407\pi\) | |||||||
\(8\) | 2.69597 | − | 0.855416i | 0.953170 | − | 0.302435i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.144584 | + | 1.40680i | 0.0457216 | + | 0.444870i | ||||
\(11\) | − | 6.20555i | − | 1.87104i | −0.353269 | − | 0.935522i | \(-0.614930\pi\) | ||
0.353269 | − | 0.935522i | \(-0.385070\pi\) | |||||||
\(12\) | 0.406803 | + | 1.95819i | 0.117434 | + | 0.565281i | ||||
\(13\) | 0.578337i | 0.160402i | 0.996779 | + | 0.0802009i | \(0.0255562\pi\) | ||||
−0.996779 | + | 0.0802009i | \(0.974444\pi\) | |||||||
\(14\) | −5.10278 | + | 0.524438i | −1.36377 | + | 0.140162i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 3.66902 | − | 1.59320i | 0.917256 | − | 0.398299i | ||||
\(17\) | 1.42166 | 0.344804 | 0.172402 | − | 0.985027i | \(-0.444847\pi\) | ||||
0.172402 | + | 0.985027i | \(0.444847\pi\) | |||||||
\(18\) | −1.40680 | + | 0.144584i | −0.331587 | + | 0.0340788i | ||||
\(19\) | 5.62721i | 1.29097i | 0.763772 | + | 0.645486i | \(0.223345\pi\) | ||||
−0.763772 | + | 0.645486i | \(0.776655\pi\) | |||||||
\(20\) | 0.406803 | + | 1.95819i | 0.0909640 | + | 0.437865i | ||||
\(21\) | − | 3.62721i | − | 0.791523i | ||||||
\(22\) | −0.897225 | − | 8.72999i | −0.191289 | − | 1.86124i | ||||
\(23\) | −5.62721 | −1.17336 | −0.586678 | − | 0.809821i | \(-0.699564\pi\) | ||||
−0.586678 | + | 0.809821i | \(0.699564\pi\) | |||||||
\(24\) | 0.855416 | + | 2.69597i | 0.174611 | + | 0.550313i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0.0836184 | + | 0.813607i | 0.0163989 | + | 0.159561i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −7.10278 | + | 1.47556i | −1.34230 | + | 0.278855i | ||||
\(29\) | − | 2.00000i | − | 0.371391i | −0.982607 | − | 0.185695i | \(-0.940546\pi\) | ||
0.982607 | − | 0.185695i | \(-0.0594537\pi\) | |||||||
\(30\) | −1.40680 | + | 0.144584i | −0.256846 | + | 0.0263974i | ||||
\(31\) | −2.57834 | −0.463083 | −0.231542 | − | 0.972825i | \(-0.574377\pi\) | ||||
−0.231542 | + | 0.972825i | \(0.574377\pi\) | |||||||
\(32\) | 4.93124 | − | 2.77180i | 0.871729 | − | 0.489989i | ||||
\(33\) | 6.20555 | 1.08025 | ||||||||
\(34\) | 2.00000 | − | 0.205550i | 0.342997 | − | 0.0352516i | ||||
\(35\) | − | 3.62721i | − | 0.613111i | ||||||
\(36\) | −1.95819 | + | 0.406803i | −0.326365 | + | 0.0678005i | ||||
\(37\) | 7.83276i | 1.28770i | 0.765152 | + | 0.643849i | \(0.222664\pi\) | ||||
−0.765152 | + | 0.643849i | \(0.777336\pi\) | |||||||
\(38\) | 0.813607 | + | 7.91638i | 0.131984 | + | 1.28421i | ||||
\(39\) | −0.578337 | −0.0926081 | ||||||||
\(40\) | 0.855416 | + | 2.69597i | 0.135253 | + | 0.426271i | ||||
\(41\) | 5.25443 | 0.820603 | 0.410302 | − | 0.911950i | \(-0.365423\pi\) | ||||
0.410302 | + | 0.911950i | \(0.365423\pi\) | |||||||
\(42\) | −0.524438 | − | 5.10278i | −0.0809225 | − | 0.787375i | ||||
\(43\) | 7.25443i | 1.10629i | 0.833085 | + | 0.553145i | \(0.186572\pi\) | ||||
−0.833085 | + | 0.553145i | \(0.813428\pi\) | |||||||
\(44\) | −2.52444 | − | 12.1517i | −0.380573 | − | 1.83193i | ||||
\(45\) | − | 1.00000i | − | 0.149071i | ||||||
\(46\) | −7.91638 | + | 0.813607i | −1.16721 | + | 0.119960i | ||||
\(47\) | 6.78389 | 0.989532 | 0.494766 | − | 0.869026i | \(-0.335254\pi\) | ||||
0.494766 | + | 0.869026i | \(0.335254\pi\) | |||||||
\(48\) | 1.59320 | + | 3.66902i | 0.229958 | + | 0.529578i | ||||
\(49\) | 6.15667 | 0.879525 | ||||||||
\(50\) | −1.40680 | + | 0.144584i | −0.198952 | + | 0.0204473i | ||||
\(51\) | 1.42166i | 0.199073i | ||||||||
\(52\) | 0.235269 | + | 1.13249i | 0.0326260 | + | 0.157049i | ||||
\(53\) | 2.00000i | 0.274721i | 0.990521 | + | 0.137361i | \(0.0438619\pi\) | ||||
−0.990521 | + | 0.137361i | \(0.956138\pi\) | |||||||
\(54\) | −0.144584 | − | 1.40680i | −0.0196754 | − | 0.191442i | ||||
\(55\) | 6.20555 | 0.836756 | ||||||||
\(56\) | −9.77886 | + | 3.10278i | −1.30676 | + | 0.414626i | ||||
\(57\) | −5.62721 | −0.745343 | ||||||||
\(58\) | −0.289169 | − | 2.81361i | −0.0379697 | − | 0.369445i | ||||
\(59\) | 2.20555i | 0.287138i | 0.989640 | + | 0.143569i | \(0.0458579\pi\) | ||||
−0.989640 | + | 0.143569i | \(0.954142\pi\) | |||||||
\(60\) | −1.95819 | + | 0.406803i | −0.252801 | + | 0.0525181i | ||||
\(61\) | − | 12.4111i | − | 1.58908i | −0.607213 | − | 0.794539i | \(-0.707712\pi\) | ||
0.607213 | − | 0.794539i | \(-0.292288\pi\) | |||||||
\(62\) | −3.62721 | + | 0.372787i | −0.460657 | + | 0.0473440i | ||||
\(63\) | 3.62721 | 0.456986 | ||||||||
\(64\) | 6.53653 | − | 4.61235i | 0.817066 | − | 0.576544i | ||||
\(65\) | −0.578337 | −0.0717339 | ||||||||
\(66\) | 8.72999 | − | 0.897225i | 1.07459 | − | 0.110441i | ||||
\(67\) | − | 4.00000i | − | 0.488678i | −0.969690 | − | 0.244339i | \(-0.921429\pi\) | ||
0.969690 | − | 0.244339i | \(-0.0785709\pi\) | |||||||
\(68\) | 2.78389 | − | 0.578337i | 0.337596 | − | 0.0701337i | ||||
\(69\) | − | 5.62721i | − | 0.677437i | ||||||
\(70\) | −0.524438 | − | 5.10278i | −0.0626823 | − | 0.609898i | ||||
\(71\) | 8.41110 | 0.998214 | 0.499107 | − | 0.866540i | \(-0.333661\pi\) | ||||
0.499107 | + | 0.866540i | \(0.333661\pi\) | |||||||
\(72\) | −2.69597 | + | 0.855416i | −0.317723 | + | 0.100812i | ||||
\(73\) | −6.00000 | −0.702247 | −0.351123 | − | 0.936329i | \(-0.614200\pi\) | ||||
−0.351123 | + | 0.936329i | \(0.614200\pi\) | |||||||
\(74\) | 1.13249 | + | 11.0192i | 0.131650 | + | 1.28095i | ||||
\(75\) | − | 1.00000i | − | 0.115470i | ||||||
\(76\) | 2.28917 | + | 11.0192i | 0.262586 | + | 1.26398i | ||||
\(77\) | 22.5089i | 2.56512i | ||||||||
\(78\) | −0.813607 | + | 0.0836184i | −0.0921228 | + | 0.00946792i | ||||
\(79\) | 5.42166 | 0.609985 | 0.304992 | − | 0.952355i | \(-0.401346\pi\) | ||||
0.304992 | + | 0.952355i | \(0.401346\pi\) | |||||||
\(80\) | 1.59320 | + | 3.66902i | 0.178125 | + | 0.410209i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 7.39194 | − | 0.759707i | 0.816304 | − | 0.0838956i | ||||
\(83\) | − | 3.25443i | − | 0.357220i | −0.983920 | − | 0.178610i | \(-0.942840\pi\) | ||
0.983920 | − | 0.178610i | \(-0.0571600\pi\) | |||||||
\(84\) | −1.47556 | − | 7.10278i | −0.160997 | − | 0.774976i | ||||
\(85\) | 1.42166i | 0.154201i | ||||||||
\(86\) | 1.04888 | + | 10.2056i | 0.113103 | + | 1.10049i | ||||
\(87\) | 2.00000 | 0.214423 | ||||||||
\(88\) | −5.30833 | − | 16.7300i | −0.565869 | − | 1.78342i | ||||
\(89\) | −13.2544 | −1.40497 | −0.702483 | − | 0.711700i | \(-0.747925\pi\) | ||||
−0.702483 | + | 0.711700i | \(0.747925\pi\) | |||||||
\(90\) | −0.144584 | − | 1.40680i | −0.0152405 | − | 0.148290i | ||||
\(91\) | − | 2.09775i | − | 0.219904i | ||||||
\(92\) | −11.0192 | + | 2.28917i | −1.14883 | + | 0.238662i | ||||
\(93\) | − | 2.57834i | − | 0.267361i | ||||||
\(94\) | 9.54359 | − | 0.980843i | 0.984347 | − | 0.101166i | ||||
\(95\) | −5.62721 | −0.577340 | ||||||||
\(96\) | 2.77180 | + | 4.93124i | 0.282895 | + | 0.503293i | ||||
\(97\) | 4.84333 | 0.491765 | 0.245883 | − | 0.969300i | \(-0.420922\pi\) | ||||
0.245883 | + | 0.969300i | \(0.420922\pi\) | |||||||
\(98\) | 8.66123 | − | 0.890158i | 0.874916 | − | 0.0899196i | ||||
\(99\) | 6.20555i | 0.623681i | ||||||||
\(100\) | −1.95819 | + | 0.406803i | −0.195819 | + | 0.0406803i | ||||
\(101\) | 2.00000i | 0.199007i | 0.995037 | + | 0.0995037i | \(0.0317255\pi\) | ||||
−0.995037 | + | 0.0995037i | \(0.968274\pi\) | |||||||
\(102\) | 0.205550 | + | 2.00000i | 0.0203525 | + | 0.198030i | ||||
\(103\) | 2.47054 | 0.243429 | 0.121715 | − | 0.992565i | \(-0.461161\pi\) | ||||
0.121715 | + | 0.992565i | \(0.461161\pi\) | |||||||
\(104\) | 0.494719 | + | 1.55918i | 0.0485112 | + | 0.152890i | ||||
\(105\) | 3.62721 | 0.353980 | ||||||||
\(106\) | 0.289169 | + | 2.81361i | 0.0280865 | + | 0.273282i | ||||
\(107\) | − | 14.0978i | − | 1.36288i | −0.731873 | − | 0.681441i | \(-0.761354\pi\) | ||
0.731873 | − | 0.681441i | \(-0.238646\pi\) | |||||||
\(108\) | −0.406803 | − | 1.95819i | −0.0391447 | − | 0.188427i | ||||
\(109\) | − | 7.25443i | − | 0.694848i | −0.937708 | − | 0.347424i | \(-0.887056\pi\) | ||
0.937708 | − | 0.347424i | \(-0.112944\pi\) | |||||||
\(110\) | 8.72999 | − | 0.897225i | 0.832372 | − | 0.0855470i | ||||
\(111\) | −7.83276 | −0.743453 | ||||||||
\(112\) | −13.3083 | + | 5.77886i | −1.25752 | + | 0.546051i | ||||
\(113\) | −9.08719 | −0.854851 | −0.427425 | − | 0.904051i | \(-0.640579\pi\) | ||||
−0.427425 | + | 0.904051i | \(0.640579\pi\) | |||||||
\(114\) | −7.91638 | + | 0.813607i | −0.741437 | + | 0.0762012i | ||||
\(115\) | − | 5.62721i | − | 0.524740i | ||||||
\(116\) | −0.813607 | − | 3.91638i | −0.0755415 | − | 0.363627i | ||||
\(117\) | − | 0.578337i | − | 0.0534673i | ||||||
\(118\) | 0.318888 | + | 3.10278i | 0.0293560 | + | 0.285634i | ||||
\(119\) | −5.15667 | −0.472712 | ||||||||
\(120\) | −2.69597 | + | 0.855416i | −0.246107 | + | 0.0780884i | ||||
\(121\) | −27.5089 | −2.50080 | ||||||||
\(122\) | −1.79445 | − | 17.4600i | −0.162462 | − | 1.58075i | ||||
\(123\) | 5.25443i | 0.473776i | ||||||||
\(124\) | −5.04888 | + | 1.04888i | −0.453402 | + | 0.0941918i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 5.10278 | − | 0.524438i | 0.454591 | − | 0.0467206i | ||||
\(127\) | −10.4705 | −0.929110 | −0.464555 | − | 0.885544i | \(-0.653786\pi\) | ||||
−0.464555 | + | 0.885544i | \(0.653786\pi\) | |||||||
\(128\) | 8.52873 | − | 7.43375i | 0.753841 | − | 0.657057i | ||||
\(129\) | −7.25443 | −0.638717 | ||||||||
\(130\) | −0.813607 | + | 0.0836184i | −0.0713580 | + | 0.00733382i | ||||
\(131\) | 13.4600i | 1.17600i | 0.808860 | + | 0.588002i | \(0.200085\pi\) | ||||
−0.808860 | + | 0.588002i | \(0.799915\pi\) | |||||||
\(132\) | 12.1517 | − | 2.52444i | 1.05767 | − | 0.219724i | ||||
\(133\) | − | 20.4111i | − | 1.76987i | ||||||
\(134\) | −0.578337 | − | 5.62721i | −0.0499607 | − | 0.486117i | ||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | 3.83276 | − | 1.21611i | 0.328657 | − | 0.104281i | ||||
\(137\) | −10.5783 | −0.903768 | −0.451884 | − | 0.892077i | \(-0.649248\pi\) | ||||
−0.451884 | + | 0.892077i | \(0.649248\pi\) | |||||||
\(138\) | −0.813607 | − | 7.91638i | −0.0692588 | − | 0.673887i | ||||
\(139\) | 12.4705i | 1.05774i | 0.848704 | + | 0.528869i | \(0.177384\pi\) | ||||
−0.848704 | + | 0.528869i | \(0.822616\pi\) | |||||||
\(140\) | −1.47556 | − | 7.10278i | −0.124708 | − | 0.600294i | ||||
\(141\) | 6.78389i | 0.571306i | ||||||||
\(142\) | 11.8328 | − | 1.21611i | 0.992983 | − | 0.102054i | ||||
\(143\) | 3.58890 | 0.300119 | ||||||||
\(144\) | −3.66902 | + | 1.59320i | −0.305752 | + | 0.132766i | ||||
\(145\) | 2.00000 | 0.166091 | ||||||||
\(146\) | −8.44082 | + | 0.867506i | −0.698567 | + | 0.0717953i | ||||
\(147\) | 6.15667i | 0.507794i | ||||||||
\(148\) | 3.18639 | + | 15.3380i | 0.261920 | + | 1.26078i | ||||
\(149\) | − | 2.00000i | − | 0.163846i | −0.996639 | − | 0.0819232i | \(-0.973894\pi\) | ||
0.996639 | − | 0.0819232i | \(-0.0261062\pi\) | |||||||
\(150\) | −0.144584 | − | 1.40680i | −0.0118053 | − | 0.114865i | ||||
\(151\) | 12.6761 | 1.03157 | 0.515783 | − | 0.856719i | \(-0.327501\pi\) | ||||
0.515783 | + | 0.856719i | \(0.327501\pi\) | |||||||
\(152\) | 4.81361 | + | 15.1708i | 0.390435 | + | 1.23051i | ||||
\(153\) | −1.42166 | −0.114935 | ||||||||
\(154\) | 3.25443 | + | 31.6655i | 0.262249 | + | 2.55168i | ||||
\(155\) | − | 2.57834i | − | 0.207097i | ||||||
\(156\) | −1.13249 | + | 0.235269i | −0.0906721 | + | 0.0188366i | ||||
\(157\) | 1.32391i | 0.105660i | 0.998604 | + | 0.0528298i | \(0.0168241\pi\) | ||||
−0.998604 | + | 0.0528298i | \(0.983176\pi\) | |||||||
\(158\) | 7.62721 | − | 0.783887i | 0.606788 | − | 0.0623627i | ||||
\(159\) | −2.00000 | −0.158610 | ||||||||
\(160\) | 2.77180 | + | 4.93124i | 0.219130 | + | 0.389849i | ||||
\(161\) | 20.4111 | 1.60862 | ||||||||
\(162\) | 1.40680 | − | 0.144584i | 0.110529 | − | 0.0113596i | ||||
\(163\) | − | 15.2544i | − | 1.19482i | −0.801936 | − | 0.597409i | \(-0.796197\pi\) | ||
0.801936 | − | 0.597409i | \(-0.203803\pi\) | |||||||
\(164\) | 10.2892 | − | 2.13752i | 0.803449 | − | 0.166912i | ||||
\(165\) | 6.20555i | 0.483101i | ||||||||
\(166\) | −0.470539 | − | 4.57834i | −0.0365209 | − | 0.355348i | ||||
\(167\) | 10.7839 | 0.834482 | 0.417241 | − | 0.908796i | \(-0.362997\pi\) | ||||
0.417241 | + | 0.908796i | \(0.362997\pi\) | |||||||
\(168\) | −3.10278 | − | 9.77886i | −0.239384 | − | 0.754456i | ||||
\(169\) | 12.6655 | 0.974271 | ||||||||
\(170\) | 0.205550 | + | 2.00000i | 0.0157650 | + | 0.153393i | ||||
\(171\) | − | 5.62721i | − | 0.430324i | ||||||
\(172\) | 2.95112 | + | 14.2056i | 0.225021 | + | 1.08316i | ||||
\(173\) | − | 13.6655i | − | 1.03897i | −0.854479 | − | 0.519485i | \(-0.826124\pi\) | ||
0.854479 | − | 0.519485i | \(-0.173876\pi\) | |||||||
\(174\) | 2.81361 | − | 0.289169i | 0.213299 | − | 0.0219218i | ||||
\(175\) | 3.62721 | 0.274192 | ||||||||
\(176\) | −9.88666 | − | 22.7683i | −0.745235 | − | 1.71623i | ||||
\(177\) | −2.20555 | −0.165779 | ||||||||
\(178\) | −18.6464 | + | 1.91638i | −1.39760 | + | 0.143639i | ||||
\(179\) | 9.04888i | 0.676345i | 0.941084 | + | 0.338172i | \(0.109809\pi\) | ||||
−0.941084 | + | 0.338172i | \(0.890191\pi\) | |||||||
\(180\) | −0.406803 | − | 1.95819i | −0.0303213 | − | 0.145955i | ||||
\(181\) | 23.2544i | 1.72849i | 0.503073 | + | 0.864244i | \(0.332203\pi\) | ||||
−0.503073 | + | 0.864244i | \(0.667797\pi\) | |||||||
\(182\) | −0.303302 | − | 2.95112i | −0.0224822 | − | 0.218752i | ||||
\(183\) | 12.4111 | 0.917455 | ||||||||
\(184\) | −15.1708 | + | 4.81361i | −1.11841 | + | 0.354864i | ||||
\(185\) | −7.83276 | −0.575876 | ||||||||
\(186\) | −0.372787 | − | 3.62721i | −0.0273341 | − | 0.265960i | ||||
\(187\) | − | 8.82220i | − | 0.645143i | ||||||
\(188\) | 13.2841 | − | 2.75971i | 0.968846 | − | 0.201272i | ||||
\(189\) | 3.62721i | 0.263841i | ||||||||
\(190\) | −7.91638 | + | 0.813607i | −0.574315 | + | 0.0590252i | ||||
\(191\) | −8.00000 | −0.578860 | −0.289430 | − | 0.957199i | \(-0.593466\pi\) | ||||
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(192\) | 4.61235 | + | 6.53653i | 0.332868 | + | 0.471733i | ||||
\(193\) | 25.6655 | 1.84745 | 0.923723 | − | 0.383062i | \(-0.125131\pi\) | ||||
0.923723 | + | 0.383062i | \(0.125131\pi\) | |||||||
\(194\) | 6.81361 | − | 0.700269i | 0.489188 | − | 0.0502764i | ||||
\(195\) | − | 0.578337i | − | 0.0414156i | ||||||
\(196\) | 12.0559 | − | 2.50456i | 0.861139 | − | 0.178897i | ||||
\(197\) | − | 15.1567i | − | 1.07987i | −0.841707 | − | 0.539934i | \(-0.818449\pi\) | ||
0.841707 | − | 0.539934i | \(-0.181551\pi\) | |||||||
\(198\) | 0.897225 | + | 8.72999i | 0.0637630 | + | 0.620413i | ||||
\(199\) | −20.6761 | −1.46569 | −0.732845 | − | 0.680396i | \(-0.761808\pi\) | ||||
−0.732845 | + | 0.680396i | \(0.761808\pi\) | |||||||
\(200\) | −2.69597 | + | 0.855416i | −0.190634 | + | 0.0604870i | ||||
\(201\) | 4.00000 | 0.282138 | ||||||||
\(202\) | 0.289169 | + | 2.81361i | 0.0203458 | + | 0.197965i | ||||
\(203\) | 7.25443i | 0.509161i | ||||||||
\(204\) | 0.578337 | + | 2.78389i | 0.0404917 | + | 0.194911i | ||||
\(205\) | 5.25443i | 0.366985i | ||||||||
\(206\) | 3.47556 | − | 0.357201i | 0.242154 | − | 0.0248874i | ||||
\(207\) | 5.62721 | 0.391118 | ||||||||
\(208\) | 0.921405 | + | 2.12193i | 0.0638879 | + | 0.147129i | ||||
\(209\) | 34.9200 | 2.41546 | ||||||||
\(210\) | 5.10278 | − | 0.524438i | 0.352125 | − | 0.0361897i | ||||
\(211\) | 2.03831i | 0.140323i | 0.997536 | + | 0.0701616i | \(0.0223515\pi\) | ||||
−0.997536 | + | 0.0701616i | \(0.977648\pi\) | |||||||
\(212\) | 0.813607 | + | 3.91638i | 0.0558787 | + | 0.268978i | ||||
\(213\) | 8.41110i | 0.576319i | ||||||||
\(214\) | −2.03831 | − | 19.8328i | −0.139336 | − | 1.35574i | ||||
\(215\) | −7.25443 | −0.494748 | ||||||||
\(216\) | −0.855416 | − | 2.69597i | −0.0582037 | − | 0.183438i | ||||
\(217\) | 9.35218 | 0.634867 | ||||||||
\(218\) | −1.04888 | − | 10.2056i | −0.0710388 | − | 0.691207i | ||||
\(219\) | − | 6.00000i | − | 0.405442i | ||||||
\(220\) | 12.1517 | − | 2.52444i | 0.819264 | − | 0.170198i | ||||
\(221\) | 0.822200i | 0.0553072i | ||||||||
\(222\) | −11.0192 | + | 1.13249i | −0.739557 | + | 0.0760080i | ||||
\(223\) | −7.21611 | −0.483227 | −0.241613 | − | 0.970373i | \(-0.577677\pi\) | ||||
−0.241613 | + | 0.970373i | \(0.577677\pi\) | |||||||
\(224\) | −17.8867 | + | 10.0539i | −1.19510 | + | 0.671754i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | −12.7839 | + | 1.31386i | −0.850372 | + | 0.0873970i | ||||
\(227\) | − | 1.15667i | − | 0.0767712i | −0.999263 | − | 0.0383856i | \(-0.987778\pi\) | ||
0.999263 | − | 0.0383856i | \(-0.0122215\pi\) | |||||||
\(228\) | −11.0192 | + | 2.28917i | −0.729761 | + | 0.151604i | ||||
\(229\) | − | 14.0978i | − | 0.931606i | −0.884889 | − | 0.465803i | \(-0.845766\pi\) | ||
0.884889 | − | 0.465803i | \(-0.154234\pi\) | |||||||
\(230\) | −0.813607 | − | 7.91638i | −0.0536476 | − | 0.521991i | ||||
\(231\) | −22.5089 | −1.48097 | ||||||||
\(232\) | −1.71083 | − | 5.39194i | −0.112322 | − | 0.353998i | ||||
\(233\) | −14.5783 | −0.955059 | −0.477529 | − | 0.878616i | \(-0.658468\pi\) | ||||
−0.477529 | + | 0.878616i | \(0.658468\pi\) | |||||||
\(234\) | −0.0836184 | − | 0.813607i | −0.00546631 | − | 0.0531871i | ||||
\(235\) | 6.78389i | 0.442532i | ||||||||
\(236\) | 0.897225 | + | 4.31889i | 0.0584044 | + | 0.281136i | ||||
\(237\) | 5.42166i | 0.352175i | ||||||||
\(238\) | −7.25443 | + | 0.745574i | −0.470235 | + | 0.0483284i | ||||
\(239\) | 19.2544 | 1.24547 | 0.622733 | − | 0.782435i | \(-0.286022\pi\) | ||||
0.622733 | + | 0.782435i | \(0.286022\pi\) | |||||||
\(240\) | −3.66902 | + | 1.59320i | −0.236834 | + | 0.102840i | ||||
\(241\) | −13.6655 | −0.880274 | −0.440137 | − | 0.897931i | \(-0.645070\pi\) | ||||
−0.440137 | + | 0.897931i | \(0.645070\pi\) | |||||||
\(242\) | −38.6995 | + | 3.97735i | −2.48770 | + | 0.255674i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −5.04888 | − | 24.3033i | −0.323221 | − | 1.55586i | ||||
\(245\) | 6.15667i | 0.393335i | ||||||||
\(246\) | 0.759707 | + | 7.39194i | 0.0484372 | + | 0.471293i | ||||
\(247\) | −3.25443 | −0.207074 | ||||||||
\(248\) | −6.95112 | + | 2.20555i | −0.441397 | + | 0.140053i | ||||
\(249\) | 3.25443 | 0.206241 | ||||||||
\(250\) | −0.144584 | − | 1.40680i | −0.00914431 | − | 0.0889740i | ||||
\(251\) | 7.14663i | 0.451091i | 0.974233 | + | 0.225546i | \(0.0724165\pi\) | ||||
−0.974233 | + | 0.225546i | \(0.927584\pi\) | |||||||
\(252\) | 7.10278 | − | 1.47556i | 0.447433 | − | 0.0929517i | ||||
\(253\) | 34.9200i | 2.19540i | ||||||||
\(254\) | −14.7300 | + | 1.51388i | −0.924242 | + | 0.0949890i | ||||
\(255\) | −1.42166 | −0.0890280 | ||||||||
\(256\) | 10.9234 | − | 11.6909i | 0.682716 | − | 0.730684i | ||||
\(257\) | 7.73501 | 0.482497 | 0.241248 | − | 0.970463i | \(-0.422443\pi\) | ||||
0.241248 | + | 0.970463i | \(0.422443\pi\) | |||||||
\(258\) | −10.2056 | + | 1.04888i | −0.635370 | + | 0.0653002i | ||||
\(259\) | − | 28.4111i | − | 1.76538i | ||||||
\(260\) | −1.13249 | + | 0.235269i | −0.0702343 | + | 0.0145908i | ||||
\(261\) | 2.00000i | 0.123797i | ||||||||
\(262\) | 1.94610 | + | 18.9355i | 0.120231 | + | 1.16984i | ||||
\(263\) | −18.7839 | −1.15826 | −0.579132 | − | 0.815234i | \(-0.696608\pi\) | ||||
−0.579132 | + | 0.815234i | \(0.696608\pi\) | |||||||
\(264\) | 16.7300 | − | 5.30833i | 1.02966 | − | 0.326705i | ||||
\(265\) | −2.00000 | −0.122859 | ||||||||
\(266\) | −2.95112 | − | 28.7144i | −0.180945 | − | 1.76059i | ||||
\(267\) | − | 13.2544i | − | 0.811158i | ||||||
\(268\) | −1.62721 | − | 7.83276i | −0.0993979 | − | 0.478462i | ||||
\(269\) | − | 8.50885i | − | 0.518794i | −0.965771 | − | 0.259397i | \(-0.916476\pi\) | ||
0.965771 | − | 0.259397i | \(-0.0835238\pi\) | |||||||
\(270\) | 1.40680 | − | 0.144584i | 0.0856153 | − | 0.00879912i | ||||
\(271\) | 30.9894 | 1.88247 | 0.941237 | − | 0.337746i | \(-0.109665\pi\) | ||||
0.941237 | + | 0.337746i | \(0.109665\pi\) | |||||||
\(272\) | 5.21611 | − | 2.26499i | 0.316273 | − | 0.137335i | ||||
\(273\) | 2.09775 | 0.126962 | ||||||||
\(274\) | −14.8816 | + | 1.52946i | −0.899033 | + | 0.0923981i | ||||
\(275\) | 6.20555i | 0.374209i | ||||||||
\(276\) | −2.28917 | − | 11.0192i | −0.137792 | − | 0.663275i | ||||
\(277\) | − | 9.51941i | − | 0.571966i | −0.958235 | − | 0.285983i | \(-0.907680\pi\) | ||
0.958235 | − | 0.285983i | \(-0.0923201\pi\) | |||||||
\(278\) | 1.80304 | + | 17.5436i | 0.108139 | + | 1.05219i | ||||
\(279\) | 2.57834 | 0.154361 | ||||||||
\(280\) | −3.10278 | − | 9.77886i | −0.185426 | − | 0.584399i | ||||
\(281\) | 13.6655 | 0.815217 | 0.407608 | − | 0.913157i | \(-0.366363\pi\) | ||||
0.407608 | + | 0.913157i | \(0.366363\pi\) | |||||||
\(282\) | 0.980843 | + | 9.54359i | 0.0584084 | + | 0.568313i | ||||
\(283\) | 20.0000i | 1.18888i | 0.804141 | + | 0.594438i | \(0.202626\pi\) | ||||
−0.804141 | + | 0.594438i | \(0.797374\pi\) | |||||||
\(284\) | 16.4705 | − | 3.42166i | 0.977347 | − | 0.203038i | ||||
\(285\) | − | 5.62721i | − | 0.333327i | ||||||
\(286\) | 5.04888 | − | 0.518898i | 0.298546 | − | 0.0306831i | ||||
\(287\) | −19.0589 | −1.12501 | ||||||||
\(288\) | −4.93124 | + | 2.77180i | −0.290576 | + | 0.163330i | ||||
\(289\) | −14.9789 | −0.881110 | ||||||||
\(290\) | 2.81361 | − | 0.289169i | 0.165221 | − | 0.0169806i | ||||
\(291\) | 4.84333i | 0.283921i | ||||||||
\(292\) | −11.7491 | + | 2.44082i | −0.687567 | + | 0.142838i | ||||
\(293\) | 4.31335i | 0.251989i | 0.992031 | + | 0.125994i | \(0.0402121\pi\) | ||||
−0.992031 | + | 0.125994i | \(0.959788\pi\) | |||||||
\(294\) | 0.890158 | + | 8.66123i | 0.0519151 | + | 0.505133i | ||||
\(295\) | −2.20555 | −0.128412 | ||||||||
\(296\) | 6.70027 | + | 21.1169i | 0.389445 | + | 1.22740i | ||||
\(297\) | −6.20555 | −0.360083 | ||||||||
\(298\) | −0.289169 | − | 2.81361i | −0.0167511 | − | 0.162988i | ||||
\(299\) | − | 3.25443i | − | 0.188208i | ||||||
\(300\) | −0.406803 | − | 1.95819i | −0.0234868 | − | 0.113056i | ||||
\(301\) | − | 26.3133i | − | 1.51668i | ||||||
\(302\) | 17.8328 | − | 1.83276i | 1.02616 | − | 0.105464i | ||||
\(303\) | −2.00000 | −0.114897 | ||||||||
\(304\) | 8.96526 | + | 20.6464i | 0.514193 | + | 1.18415i | ||||
\(305\) | 12.4111 | 0.710658 | ||||||||
\(306\) | −2.00000 | + | 0.205550i | −0.114332 | + | 0.0117505i | ||||
\(307\) | − | 25.5678i | − | 1.45923i | −0.683858 | − | 0.729615i | \(-0.739699\pi\) | ||
0.683858 | − | 0.729615i | \(-0.260301\pi\) | |||||||
\(308\) | 9.15667 | + | 44.0766i | 0.521750 | + | 2.51150i | ||||
\(309\) | 2.47054i | 0.140544i | ||||||||
\(310\) | −0.372787 | − | 3.62721i | −0.0211729 | − | 0.206012i | ||||
\(311\) | −20.0766 | −1.13844 | −0.569221 | − | 0.822185i | \(-0.692755\pi\) | ||||
−0.569221 | + | 0.822185i | \(0.692755\pi\) | |||||||
\(312\) | −1.55918 | + | 0.494719i | −0.0882712 | + | 0.0280079i | ||||
\(313\) | 7.15667 | 0.404519 | 0.202260 | − | 0.979332i | \(-0.435172\pi\) | ||||
0.202260 | + | 0.979332i | \(0.435172\pi\) | |||||||
\(314\) | 0.191417 | + | 1.86248i | 0.0108023 | + | 0.105106i | ||||
\(315\) | 3.62721i | 0.204370i | ||||||||
\(316\) | 10.6167 | − | 2.20555i | 0.597233 | − | 0.124072i | ||||
\(317\) | − | 24.1744i | − | 1.35777i | −0.734245 | − | 0.678884i | \(-0.762464\pi\) | ||
0.734245 | − | 0.678884i | \(-0.237536\pi\) | |||||||
\(318\) | −2.81361 | + | 0.289169i | −0.157779 | + | 0.0162158i | ||||
\(319\) | −12.4111 | −0.694888 | ||||||||
\(320\) | 4.61235 | + | 6.53653i | 0.257838 | + | 0.365403i | ||||
\(321\) | 14.0978 | 0.786860 | ||||||||
\(322\) | 28.7144 | − | 2.95112i | 1.60019 | − | 0.164460i | ||||
\(323\) | 8.00000i | 0.445132i | ||||||||
\(324\) | 1.95819 | − | 0.406803i | 0.108788 | − | 0.0226002i | ||||
\(325\) | − | 0.578337i | − | 0.0320804i | ||||||
\(326\) | −2.20555 | − | 21.4600i | −0.122154 | − | 1.18856i | ||||
\(327\) | 7.25443 | 0.401171 | ||||||||
\(328\) | 14.1658 | − | 4.49472i | 0.782175 | − | 0.248179i | ||||
\(329\) | −24.6066 | −1.35661 | ||||||||
\(330\) | 0.897225 | + | 8.72999i | 0.0493906 | + | 0.480570i | ||||
\(331\) | 27.1950i | 1.49477i | 0.664390 | + | 0.747386i | \(0.268691\pi\) | ||||
−0.664390 | + | 0.747386i | \(0.731309\pi\) | |||||||
\(332\) | −1.32391 | − | 6.37279i | −0.0726591 | − | 0.349752i | ||||
\(333\) | − | 7.83276i | − | 0.429233i | ||||||
\(334\) | 15.1708 | − | 1.55918i | 0.830110 | − | 0.0853146i | ||||
\(335\) | 4.00000 | 0.218543 | ||||||||
\(336\) | −5.77886 | − | 13.3083i | −0.315263 | − | 0.726029i | ||||
\(337\) | 22.8222 | 1.24320 | 0.621602 | − | 0.783333i | \(-0.286482\pi\) | ||||
0.621602 | + | 0.783333i | \(0.286482\pi\) | |||||||
\(338\) | 17.8179 | − | 1.83124i | 0.969166 | − | 0.0996061i | ||||
\(339\) | − | 9.08719i | − | 0.493548i | ||||||
\(340\) | 0.578337 | + | 2.78389i | 0.0313647 | + | 0.150977i | ||||
\(341\) | 16.0000i | 0.866449i | ||||||||
\(342\) | −0.813607 | − | 7.91638i | −0.0439948 | − | 0.428069i | ||||
\(343\) | 3.05892 | 0.165166 | ||||||||
\(344\) | 6.20555 | + | 19.5577i | 0.334581 | + | 1.05448i | ||||
\(345\) | 5.62721 | 0.302959 | ||||||||
\(346\) | −1.97582 | − | 19.2247i | −0.106221 | − | 1.03353i | ||||
\(347\) | 23.6655i | 1.27043i | 0.772335 | + | 0.635216i | \(0.219089\pi\) | ||||
−0.772335 | + | 0.635216i | \(0.780911\pi\) | |||||||
\(348\) | 3.91638 | − | 0.813607i | 0.209940 | − | 0.0436139i | ||||
\(349\) | 34.9200i | 1.86922i | 0.355671 | + | 0.934611i | \(0.384252\pi\) | ||||
−0.355671 | + | 0.934611i | \(0.615748\pi\) | |||||||
\(350\) | 5.10278 | − | 0.524438i | 0.272755 | − | 0.0280324i | ||||
\(351\) | 0.578337 | 0.0308694 | ||||||||
\(352\) | −17.2005 | − | 30.6011i | −0.916791 | − | 1.63104i | ||||
\(353\) | −15.9305 | −0.847896 | −0.423948 | − | 0.905687i | \(-0.639356\pi\) | ||||
−0.423948 | + | 0.905687i | \(0.639356\pi\) | |||||||
\(354\) | −3.10278 | + | 0.318888i | −0.164911 | + | 0.0169487i | ||||
\(355\) | 8.41110i | 0.446415i | ||||||||
\(356\) | −25.9547 | + | 5.39194i | −1.37560 | + | 0.285772i | ||||
\(357\) | − | 5.15667i | − | 0.272920i | ||||||
\(358\) | 1.30833 | + | 12.7300i | 0.0691471 | + | 0.672801i | ||||
\(359\) | 8.41110 | 0.443921 | 0.221960 | − | 0.975056i | \(-0.428754\pi\) | ||||
0.221960 | + | 0.975056i | \(0.428754\pi\) | |||||||
\(360\) | −0.855416 | − | 2.69597i | −0.0450844 | − | 0.142090i | ||||
\(361\) | −12.6655 | −0.666607 | ||||||||
\(362\) | 3.36222 | + | 32.7144i | 0.176715 | + | 1.71943i | ||||
\(363\) | − | 27.5089i | − | 1.44384i | ||||||
\(364\) | −0.853372 | − | 4.10780i | −0.0447289 | − | 0.215307i | ||||
\(365\) | − | 6.00000i | − | 0.314054i | ||||||
\(366\) | 17.4600 | − | 1.79445i | 0.912648 | − | 0.0937974i | ||||
\(367\) | −24.4494 | −1.27625 | −0.638124 | − | 0.769933i | \(-0.720289\pi\) | ||||
−0.638124 | + | 0.769933i | \(0.720289\pi\) | |||||||
\(368\) | −20.6464 | + | 8.96526i | −1.07627 | + | 0.467346i | ||||
\(369\) | −5.25443 | −0.273534 | ||||||||
\(370\) | −11.0192 | + | 1.13249i | −0.572859 | + | 0.0588756i | ||||
\(371\) | − | 7.25443i | − | 0.376631i | ||||||
\(372\) | −1.04888 | − | 5.04888i | −0.0543817 | − | 0.261772i | ||||
\(373\) | 0.167237i | 0.00865920i | 0.999991 | + | 0.00432960i | \(0.00137816\pi\) | ||||
−0.999991 | + | 0.00432960i | \(0.998622\pi\) | |||||||
\(374\) | −1.27555 | − | 12.4111i | −0.0659572 | − | 0.641763i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | 18.2892 | − | 5.80304i | 0.943192 | − | 0.299269i | ||||
\(377\) | 1.15667 | 0.0595718 | ||||||||
\(378\) | 0.524438 | + | 5.10278i | 0.0269742 | + | 0.262458i | ||||
\(379\) | − | 7.72496i | − | 0.396805i | −0.980121 | − | 0.198402i | \(-0.936425\pi\) | ||
0.980121 | − | 0.198402i | \(-0.0635753\pi\) | |||||||
\(380\) | −11.0192 | + | 2.28917i | −0.565271 | + | 0.117432i | ||||
\(381\) | − | 10.4705i | − | 0.536422i | ||||||
\(382\) | −11.2544 | + | 1.15667i | −0.575827 | + | 0.0591806i | ||||
\(383\) | −1.62721 | −0.0831467 | −0.0415734 | − | 0.999135i | \(-0.513237\pi\) | ||||
−0.0415734 | + | 0.999135i | \(0.513237\pi\) | |||||||
\(384\) | 7.43375 | + | 8.52873i | 0.379352 | + | 0.435230i | ||||
\(385\) | −22.5089 | −1.14716 | ||||||||
\(386\) | 36.1063 | − | 3.71083i | 1.83776 | − | 0.188876i | ||||
\(387\) | − | 7.25443i | − | 0.368763i | ||||||
\(388\) | 9.48416 | − | 1.97028i | 0.481485 | − | 0.100026i | ||||
\(389\) | − | 12.3133i | − | 0.624312i | −0.950031 | − | 0.312156i | \(-0.898949\pi\) | ||
0.950031 | − | 0.312156i | \(-0.101051\pi\) | |||||||
\(390\) | −0.0836184 | − | 0.813607i | −0.00423418 | − | 0.0411986i | ||||
\(391\) | −8.00000 | −0.404577 | ||||||||
\(392\) | 16.5982 | − | 5.26652i | 0.838337 | − | 0.265999i | ||||
\(393\) | −13.4600 | −0.678966 | ||||||||
\(394\) | −2.19142 | − | 21.3225i | −0.110402 | − | 1.07421i | ||||
\(395\) | 5.42166i | 0.272793i | ||||||||
\(396\) | 2.52444 | + | 12.1517i | 0.126858 | + | 0.610643i | ||||
\(397\) | 19.0872i | 0.957959i | 0.877826 | + | 0.478979i | \(0.158993\pi\) | ||||
−0.877826 | + | 0.478979i | \(0.841007\pi\) | |||||||
\(398\) | −29.0872 | + | 2.98944i | −1.45801 | + | 0.149847i | ||||
\(399\) | 20.4111 | 1.02183 | ||||||||
\(400\) | −3.66902 | + | 1.59320i | −0.183451 | + | 0.0796598i | ||||
\(401\) | −14.4111 | −0.719656 | −0.359828 | − | 0.933019i | \(-0.617165\pi\) | ||||
−0.359828 | + | 0.933019i | \(0.617165\pi\) | |||||||
\(402\) | 5.62721 | − | 0.578337i | 0.280660 | − | 0.0288448i | ||||
\(403\) | − | 1.49115i | − | 0.0742794i | ||||||
\(404\) | 0.813607 | + | 3.91638i | 0.0404784 | + | 0.194847i | ||||
\(405\) | 1.00000i | 0.0496904i | ||||||||
\(406\) | 1.04888 | + | 10.2056i | 0.0520548 | + | 0.506493i | ||||
\(407\) | 48.6066 | 2.40934 | ||||||||
\(408\) | 1.21611 | + | 3.83276i | 0.0602066 | + | 0.189750i | ||||
\(409\) | −8.31335 | −0.411069 | −0.205534 | − | 0.978650i | \(-0.565893\pi\) | ||||
−0.205534 | + | 0.978650i | \(0.565893\pi\) | |||||||
\(410\) | 0.759707 | + | 7.39194i | 0.0375193 | + | 0.365062i | ||||
\(411\) | − | 10.5783i | − | 0.521791i | ||||||
\(412\) | 4.83779 | − | 1.00502i | 0.238341 | − | 0.0495139i | ||||
\(413\) | − | 8.00000i | − | 0.393654i | ||||||
\(414\) | 7.91638 | − | 0.813607i | 0.389069 | − | 0.0399866i | ||||
\(415\) | 3.25443 | 0.159753 | ||||||||
\(416\) | 1.60303 | + | 2.85192i | 0.0785952 | + | 0.139827i | ||||
\(417\) | −12.4705 | −0.610685 | ||||||||
\(418\) | 49.1255 | − | 5.04888i | 2.40281 | − | 0.246949i | ||||
\(419\) | 7.36222i | 0.359668i | 0.983697 | + | 0.179834i | \(0.0575561\pi\) | ||||
−0.983697 | + | 0.179834i | \(0.942444\pi\) | |||||||
\(420\) | 7.10278 | − | 1.47556i | 0.346580 | − | 0.0720001i | ||||
\(421\) | 30.0978i | 1.46687i | 0.679757 | + | 0.733437i | \(0.262085\pi\) | ||||
−0.679757 | + | 0.733437i | \(0.737915\pi\) | |||||||
\(422\) | 0.294708 | + | 2.86751i | 0.0143462 | + | 0.139588i | ||||
\(423\) | −6.78389 | −0.329844 | ||||||||
\(424\) | 1.71083 | + | 5.39194i | 0.0830853 | + | 0.261856i | ||||
\(425\) | −1.42166 | −0.0689608 | ||||||||
\(426\) | 1.21611 | + | 11.8328i | 0.0589209 | + | 0.573299i | ||||
\(427\) | 45.0177i | 2.17856i | ||||||||
\(428\) | −5.73501 | − | 27.6061i | −0.277212 | − | 1.33439i | ||||
\(429\) | 3.58890i | 0.173274i | ||||||||
\(430\) | −10.2056 | + | 1.04888i | −0.492155 | + | 0.0505813i | ||||
\(431\) | 8.41110 | 0.405148 | 0.202574 | − | 0.979267i | \(-0.435069\pi\) | ||||
0.202574 | + | 0.979267i | \(0.435069\pi\) | |||||||
\(432\) | −1.59320 | − | 3.66902i | −0.0766527 | − | 0.176526i | ||||
\(433\) | −4.31335 | −0.207286 | −0.103643 | − | 0.994615i | \(-0.533050\pi\) | ||||
−0.103643 | + | 0.994615i | \(0.533050\pi\) | |||||||
\(434\) | 13.1567 | − | 1.35218i | 0.631541 | − | 0.0649066i | ||||
\(435\) | 2.00000i | 0.0958927i | ||||||||
\(436\) | −2.95112 | − | 14.2056i | −0.141333 | − | 0.680322i | ||||
\(437\) | − | 31.6655i | − | 1.51477i | ||||||
\(438\) | −0.867506 | − | 8.44082i | −0.0414510 | − | 0.403318i | ||||
\(439\) | 9.83276 | 0.469292 | 0.234646 | − | 0.972081i | \(-0.424607\pi\) | ||||
0.234646 | + | 0.972081i | \(0.424607\pi\) | |||||||
\(440\) | 16.7300 | − | 5.30833i | 0.797571 | − | 0.253064i | ||||
\(441\) | −6.15667 | −0.293175 | ||||||||
\(442\) | 0.118877 | + | 1.15667i | 0.00565441 | + | 0.0550174i | ||||
\(443\) | − | 21.3522i | − | 1.01447i | −0.861807 | − | 0.507236i | \(-0.830667\pi\) | ||
0.861807 | − | 0.507236i | \(-0.169333\pi\) | |||||||
\(444\) | −15.3380 | + | 3.18639i | −0.727911 | + | 0.151220i | ||||
\(445\) | − | 13.2544i | − | 0.628320i | ||||||
\(446\) | −10.1517 | + | 1.04334i | −0.480695 | + | 0.0494034i | ||||
\(447\) | 2.00000 | 0.0945968 | ||||||||
\(448\) | −23.7094 | + | 16.7300i | −1.12016 | + | 0.790418i | ||||
\(449\) | −20.3133 | −0.958646 | −0.479323 | − | 0.877639i | \(-0.659118\pi\) | ||||
−0.479323 | + | 0.877639i | \(0.659118\pi\) | |||||||
\(450\) | 1.40680 | − | 0.144584i | 0.0663173 | − | 0.00681577i | ||||
\(451\) | − | 32.6066i | − | 1.53539i | ||||||
\(452\) | −17.7944 | + | 3.69670i | −0.836981 | + | 0.173878i | ||||
\(453\) | 12.6761i | 0.595575i | ||||||||
\(454\) | −0.167237 | − | 1.62721i | −0.00784882 | − | 0.0763689i | ||||
\(455\) | 2.09775 | 0.0983441 | ||||||||
\(456\) | −15.1708 | + | 4.81361i | −0.710438 | + | 0.225418i | ||||
\(457\) | −3.35218 | −0.156808 | −0.0784041 | − | 0.996922i | \(-0.524982\pi\) | ||||
−0.0784041 | + | 0.996922i | \(0.524982\pi\) | |||||||
\(458\) | −2.03831 | − | 19.8328i | −0.0952441 | − | 0.926724i | ||||
\(459\) | − | 1.42166i | − | 0.0663575i | ||||||
\(460\) | −2.28917 | − | 11.0192i | −0.106733 | − | 0.513771i | ||||
\(461\) | − | 28.5089i | − | 1.32779i | −0.747826 | − | 0.663895i | \(-0.768902\pi\) | ||
0.747826 | − | 0.663895i | \(-0.231098\pi\) | |||||||
\(462\) | −31.6655 | + | 3.25443i | −1.47321 | + | 0.151410i | ||||
\(463\) | 23.6272 | 1.09805 | 0.549025 | − | 0.835806i | \(-0.314999\pi\) | ||||
0.549025 | + | 0.835806i | \(0.314999\pi\) | |||||||
\(464\) | −3.18639 | − | 7.33804i | −0.147925 | − | 0.340660i | ||||
\(465\) | 2.57834 | 0.119568 | ||||||||
\(466\) | −20.5089 | + | 2.10780i | −0.950054 | + | 0.0976419i | ||||
\(467\) | 29.5678i | 1.36823i | 0.729373 | + | 0.684117i | \(0.239812\pi\) | ||||
−0.729373 | + | 0.684117i | \(0.760188\pi\) | |||||||
\(468\) | −0.235269 | − | 1.13249i | −0.0108753 | − | 0.0523496i | ||||
\(469\) | 14.5089i | 0.669957i | ||||||||
\(470\) | 0.980843 | + | 9.54359i | 0.0452429 | + | 0.440213i | ||||
\(471\) | −1.32391 | −0.0610026 | ||||||||
\(472\) | 1.88666 | + | 5.94610i | 0.0868407 | + | 0.273691i | ||||
\(473\) | 45.0177 | 2.06992 | ||||||||
\(474\) | 0.783887 | + | 7.62721i | 0.0360051 | + | 0.350329i | ||||
\(475\) | − | 5.62721i | − | 0.258194i | ||||||
\(476\) | −10.0978 | + | 2.09775i | −0.462830 | + | 0.0961503i | ||||
\(477\) | − | 2.00000i | − | 0.0915737i | ||||||
\(478\) | 27.0872 | − | 2.78389i | 1.23894 | − | 0.127332i | ||||
\(479\) | −22.0978 | −1.00967 | −0.504836 | − | 0.863215i | \(-0.668447\pi\) | ||||
−0.504836 | + | 0.863215i | \(0.668447\pi\) | |||||||
\(480\) | −4.93124 | + | 2.77180i | −0.225079 | + | 0.126515i | ||||
\(481\) | −4.52998 | −0.206549 | ||||||||
\(482\) | −19.2247 | + | 1.97582i | −0.875661 | + | 0.0899961i | ||||
\(483\) | 20.4111i | 0.928737i | ||||||||
\(484\) | −53.8676 | + | 11.1907i | −2.44853 | + | 0.508668i | ||||
\(485\) | 4.84333i | 0.219924i | ||||||||
\(486\) | 0.144584 | + | 1.40680i | 0.00655848 | + | 0.0638139i | ||||
\(487\) | 4.03831 | 0.182993 | 0.0914967 | − | 0.995805i | \(-0.470835\pi\) | ||||
0.0914967 | + | 0.995805i | \(0.470835\pi\) | |||||||
\(488\) | −10.6167 | − | 33.4600i | −0.480593 | − | 1.51466i | ||||
\(489\) | 15.2544 | 0.689829 | ||||||||
\(490\) | 0.890158 | + | 8.66123i | 0.0402133 | + | 0.391274i | ||||
\(491\) | − | 18.2056i | − | 0.821605i | −0.911724 | − | 0.410802i | \(-0.865249\pi\) | ||
0.911724 | − | 0.410802i | \(-0.134751\pi\) | |||||||
\(492\) | 2.13752 | + | 10.2892i | 0.0963667 | + | 0.463872i | ||||
\(493\) | − | 2.84333i | − | 0.128057i | ||||||
\(494\) | −4.57834 | + | 0.470539i | −0.205989 | + | 0.0211705i | ||||
\(495\) | −6.20555 | −0.278919 | ||||||||
\(496\) | −9.45998 | + | 4.10780i | −0.424765 | + | 0.184446i | ||||
\(497\) | −30.5089 | −1.36851 | ||||||||
\(498\) | 4.57834 | − | 0.470539i | 0.205160 | − | 0.0210853i | ||||
\(499\) | − | 0.0594386i | − | 0.00266084i | −0.999999 | − | 0.00133042i | \(-0.999577\pi\) | ||
0.999999 | − | 0.00133042i | \(-0.000423486\pi\) | |||||||
\(500\) | −0.406803 | − | 1.95819i | −0.0181928 | − | 0.0875730i | ||||
\(501\) | 10.7839i | 0.481789i | ||||||||
\(502\) | 1.03329 | + | 10.0539i | 0.0461180 | + | 0.448727i | ||||
\(503\) | 2.03831 | 0.0908839 | 0.0454419 | − | 0.998967i | \(-0.485530\pi\) | ||||
0.0454419 | + | 0.998967i | \(0.485530\pi\) | |||||||
\(504\) | 9.77886 | − | 3.10278i | 0.435585 | − | 0.138209i | ||||
\(505\) | −2.00000 | −0.0889988 | ||||||||
\(506\) | 5.04888 | + | 49.1255i | 0.224450 | + | 2.18389i | ||||
\(507\) | 12.6655i | 0.562496i | ||||||||
\(508\) | −20.5033 | + | 4.25945i | −0.909687 | + | 0.188983i | ||||
\(509\) | 40.7044i | 1.80419i | 0.431539 | + | 0.902094i | \(0.357971\pi\) | ||||
−0.431539 | + | 0.902094i | \(0.642029\pi\) | |||||||
\(510\) | −2.00000 | + | 0.205550i | −0.0885615 | + | 0.00910191i | ||||
\(511\) | 21.7633 | 0.962751 | ||||||||
\(512\) | 13.6768 | − | 18.0262i | 0.604436 | − | 0.796654i | ||||
\(513\) | 5.62721 | 0.248448 | ||||||||
\(514\) | 10.8816 | − | 1.11836i | 0.479969 | − | 0.0493288i | ||||
\(515\) | 2.47054i | 0.108865i | ||||||||
\(516\) | −14.2056 | + | 2.95112i | −0.625364 | + | 0.129916i | ||||
\(517\) | − | 42.0978i | − | 1.85146i | ||||||
\(518\) | −4.10780 | − | 39.9688i | −0.180486 | − | 1.75613i | ||||
\(519\) | 13.6655 | 0.599850 | ||||||||
\(520\) | −1.55918 | + | 0.494719i | −0.0683746 | + | 0.0216948i | ||||
\(521\) | 10.0000 | 0.438108 | 0.219054 | − | 0.975713i | \(-0.429703\pi\) | ||||
0.219054 | + | 0.975713i | \(0.429703\pi\) | |||||||
\(522\) | 0.289169 | + | 2.81361i | 0.0126566 | + | 0.123148i | ||||
\(523\) | − | 35.3311i | − | 1.54492i | −0.635064 | − | 0.772460i | \(-0.719026\pi\) | ||
0.635064 | − | 0.772460i | \(-0.280974\pi\) | |||||||
\(524\) | 5.47556 | + | 26.3572i | 0.239201 | + | 1.15142i | ||||
\(525\) | 3.62721i | 0.158305i | ||||||||
\(526\) | −26.4252 | + | 2.71585i | −1.15219 | + | 0.118417i | ||||
\(527\) | −3.66553 | −0.159673 | ||||||||
\(528\) | 22.7683 | − | 9.88666i | 0.990863 | − | 0.430262i | ||||
\(529\) | 8.66553 | 0.376762 | ||||||||
\(530\) | −2.81361 | + | 0.289169i | −0.122215 | + | 0.0125607i | ||||
\(531\) | − | 2.20555i | − | 0.0957127i | ||||||
\(532\) | −8.30330 | − | 39.9688i | −0.359994 | − | 1.73287i | ||||
\(533\) | 3.03883i | 0.131626i | ||||||||
\(534\) | −1.91638 | − | 18.6464i | −0.0829299 | − | 0.806907i | ||||
\(535\) | 14.0978 | 0.609499 | ||||||||
\(536\) | −3.42166 | − | 10.7839i | −0.147793 | − | 0.465793i | ||||
\(537\) | −9.04888 | −0.390488 | ||||||||
\(538\) | −1.23025 | − | 11.9703i | −0.0530397 | − | 0.516075i | ||||
\(539\) | − | 38.2056i | − | 1.64563i | ||||||
\(540\) | 1.95819 | − | 0.406803i | 0.0842671 | − | 0.0175060i | ||||
\(541\) | − | 3.05892i | − | 0.131513i | −0.997836 | − | 0.0657567i | \(-0.979054\pi\) | ||
0.997836 | − | 0.0657567i | \(-0.0209461\pi\) | |||||||
\(542\) | 43.5960 | − | 4.48059i | 1.87261 | − | 0.192458i | ||||
\(543\) | −23.2544 | −0.997943 | ||||||||
\(544\) | 7.01056 | − | 3.94056i | 0.300575 | − | 0.168950i | ||||
\(545\) | 7.25443 | 0.310745 | ||||||||
\(546\) | 2.95112 | − | 0.303302i | 0.126296 | − | 0.0129801i | ||||
\(547\) | 32.0766i | 1.37150i | 0.727838 | + | 0.685749i | \(0.240525\pi\) | ||||
−0.727838 | + | 0.685749i | \(0.759475\pi\) | |||||||
\(548\) | −20.7144 | + | 4.30330i | −0.884875 | + | 0.183828i | ||||
\(549\) | 12.4111i | 0.529693i | ||||||||
\(550\) | 0.897225 | + | 8.72999i | 0.0382578 | + | 0.372248i | ||||
\(551\) | 11.2544 | 0.479455 | ||||||||
\(552\) | −4.81361 | − | 15.1708i | −0.204881 | − | 0.645712i | ||||
\(553\) | −19.6655 | −0.836263 | ||||||||
\(554\) | −1.37636 | − | 13.3919i | −0.0584758 | − | 0.568969i | ||||
\(555\) | − | 7.83276i | − | 0.332482i | ||||||
\(556\) | 5.07306 | + | 24.4197i | 0.215145 | + | 1.03563i | ||||
\(557\) | 33.6655i | 1.42645i | 0.700933 | + | 0.713227i | \(0.252767\pi\) | ||||
−0.700933 | + | 0.713227i | \(0.747233\pi\) | |||||||
\(558\) | 3.62721 | − | 0.372787i | 0.153552 | − | 0.0157813i | ||||
\(559\) | −4.19550 | −0.177451 | ||||||||
\(560\) | −5.77886 | − | 13.3083i | −0.244202 | − | 0.562379i | ||||
\(561\) | 8.82220 | 0.372474 | ||||||||
\(562\) | 19.2247 | − | 1.97582i | 0.810945 | − | 0.0833449i | ||||
\(563\) | 5.35218i | 0.225567i | 0.993620 | + | 0.112784i | \(0.0359767\pi\) | ||||
−0.993620 | + | 0.112784i | \(0.964023\pi\) | |||||||
\(564\) | 2.75971 | + | 13.2841i | 0.116205 | + | 0.559363i | ||||
\(565\) | − | 9.08719i | − | 0.382301i | ||||||
\(566\) | 2.89169 | + | 28.1361i | 0.121547 | + | 1.18265i | ||||
\(567\) | −3.62721 | −0.152329 | ||||||||
\(568\) | 22.6761 | − | 7.19499i | 0.951468 | − | 0.301895i | ||||
\(569\) | 5.58890 | 0.234299 | 0.117149 | − | 0.993114i | \(-0.462624\pi\) | ||||
0.117149 | + | 0.993114i | \(0.462624\pi\) | |||||||
\(570\) | −0.813607 | − | 7.91638i | −0.0340782 | − | 0.331581i | ||||
\(571\) | 10.3728i | 0.434088i | 0.976162 | + | 0.217044i | \(0.0696414\pi\) | ||||
−0.976162 | + | 0.217044i | \(0.930359\pi\) | |||||||
\(572\) | 7.02775 | − | 1.45998i | 0.293845 | − | 0.0610447i | ||||
\(573\) | − | 8.00000i | − | 0.334205i | ||||||
\(574\) | −26.8122 | + | 2.75562i | −1.11912 | + | 0.115017i | ||||
\(575\) | 5.62721 | 0.234671 | ||||||||
\(576\) | −6.53653 | + | 4.61235i | −0.272355 | + | 0.192181i | ||||
\(577\) | 21.6655 | 0.901948 | 0.450974 | − | 0.892537i | \(-0.351077\pi\) | ||||
0.450974 | + | 0.892537i | \(0.351077\pi\) | |||||||
\(578\) | −21.0723 | + | 2.16571i | −0.876493 | + | 0.0900816i | ||||
\(579\) | 25.6655i | 1.06662i | ||||||||
\(580\) | 3.91638 | − | 0.813607i | 0.162619 | − | 0.0337832i | ||||
\(581\) | 11.8045i | 0.489733i | ||||||||
\(582\) | 0.700269 | + | 6.81361i | 0.0290271 | + | 0.282433i | ||||
\(583\) | 12.4111 | 0.514015 | ||||||||
\(584\) | −16.1758 | + | 5.13249i | −0.669361 | + | 0.212384i | ||||
\(585\) | 0.578337 | 0.0239113 | ||||||||
\(586\) | 0.623642 | + | 6.06803i | 0.0257624 | + | 0.250668i | ||||
\(587\) | − | 1.90225i | − | 0.0785142i | −0.999229 | − | 0.0392571i | \(-0.987501\pi\) | ||
0.999229 | − | 0.0392571i | \(-0.0124991\pi\) | |||||||
\(588\) | 2.50456 | + | 12.0559i | 0.103286 | + | 0.497179i | ||||
\(589\) | − | 14.5089i | − | 0.597827i | ||||||
\(590\) | −3.10278 | + | 0.318888i | −0.127739 | + | 0.0131284i | ||||
\(591\) | 15.1567 | 0.623462 | ||||||||
\(592\) | 12.4791 | + | 28.7386i | 0.512889 | + | 1.18115i | ||||
\(593\) | −2.57834 | −0.105880 | −0.0529398 | − | 0.998598i | \(-0.516859\pi\) | ||||
−0.0529398 | + | 0.998598i | \(0.516859\pi\) | |||||||
\(594\) | −8.72999 | + | 0.897225i | −0.358196 | + | 0.0368136i | ||||
\(595\) | − | 5.15667i | − | 0.211403i | ||||||
\(596\) | −0.813607 | − | 3.91638i | −0.0333266 | − | 0.160421i | ||||
\(597\) | − | 20.6761i | − | 0.846216i | ||||||
\(598\) | −0.470539 | − | 4.57834i | −0.0192418 | − | 0.187222i | ||||
\(599\) | 26.7244 | 1.09193 | 0.545966 | − | 0.837808i | \(-0.316163\pi\) | ||||
0.545966 | + | 0.837808i | \(0.316163\pi\) | |||||||
\(600\) | −0.855416 | − | 2.69597i | −0.0349222 | − | 0.110063i | ||||
\(601\) | 33.3311 | 1.35960 | 0.679801 | − | 0.733397i | \(-0.262066\pi\) | ||||
0.679801 | + | 0.733397i | \(0.262066\pi\) | |||||||
\(602\) | −3.80450 | − | 37.0177i | −0.155060 | − | 1.50873i | ||||
\(603\) | 4.00000i | 0.162893i | ||||||||
\(604\) | 24.8222 | − | 5.15667i | 1.01000 | − | 0.209822i | ||||
\(605\) | − | 27.5089i | − | 1.11839i | ||||||
\(606\) | −2.81361 | + | 0.289169i | −0.114295 | + | 0.0117467i | ||||
\(607\) | −21.9406 | −0.890540 | −0.445270 | − | 0.895396i | \(-0.646892\pi\) | ||||
−0.445270 | + | 0.895396i | \(0.646892\pi\) | |||||||
\(608\) | 15.5975 | + | 27.7491i | 0.632562 | + | 1.12538i | ||||
\(609\) | −7.25443 | −0.293964 | ||||||||
\(610\) | 17.4600 | − | 1.79445i | 0.706934 | − | 0.0726552i | ||||
\(611\) | 3.92337i | 0.158723i | ||||||||
\(612\) | −2.78389 | + | 0.578337i | −0.112532 | + | 0.0233779i | ||||
\(613\) | 3.42166i | 0.138200i | 0.997610 | + | 0.0690998i | \(0.0220127\pi\) | ||||
−0.997610 | + | 0.0690998i | \(0.977987\pi\) | |||||||
\(614\) | −3.69670 | − | 35.9688i | −0.149187 | − | 1.45158i | ||||
\(615\) | −5.25443 | −0.211879 | ||||||||
\(616\) | 19.2544 | + | 60.6832i | 0.775783 | + | 2.44500i | ||||
\(617\) | 19.7350 | 0.794502 | 0.397251 | − | 0.917710i | \(-0.369964\pi\) | ||||
0.397251 | + | 0.917710i | \(0.369964\pi\) | |||||||
\(618\) | 0.357201 | + | 3.47556i | 0.0143687 | + | 0.139808i | ||||
\(619\) | 20.4705i | 0.822780i | 0.911459 | + | 0.411390i | \(0.134957\pi\) | ||||
−0.911459 | + | 0.411390i | \(0.865043\pi\) | |||||||
\(620\) | −1.04888 | − | 5.04888i | −0.0421239 | − | 0.202768i | ||||
\(621\) | 5.62721i | 0.225812i | ||||||||
\(622\) | −28.2439 | + | 2.90276i | −1.13248 | + | 0.116390i | ||||
\(623\) | 48.0766 | 1.92615 | ||||||||
\(624\) | −2.12193 | + | 0.921405i | −0.0849452 | + | 0.0368857i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 10.0680 | − | 1.03474i | 0.402400 | − | 0.0413566i | ||||
\(627\) | 34.9200i | 1.39457i | ||||||||
\(628\) | 0.538571 | + | 2.59247i | 0.0214913 | + | 0.103451i | ||||
\(629\) | 11.1355i | 0.444003i | ||||||||
\(630\) | 0.524438 | + | 5.10278i | 0.0208941 | + | 0.203299i | ||||
\(631\) | 1.08719 | 0.0432803 | 0.0216402 | − | 0.999766i | \(-0.493111\pi\) | ||||
0.0216402 | + | 0.999766i | \(0.493111\pi\) | |||||||
\(632\) | 14.6167 | − | 4.63778i | 0.581419 | − | 0.184481i | ||||
\(633\) | −2.03831 | −0.0810157 | ||||||||
\(634\) | −3.49523 | − | 34.0086i | −0.138814 | − | 1.35065i | ||||
\(635\) | − | 10.4705i | − | 0.415511i | ||||||
\(636\) | −3.91638 | + | 0.813607i | −0.155295 | + | 0.0322616i | ||||
\(637\) | 3.56063i | 0.141077i | ||||||||
\(638\) | −17.4600 | + | 1.79445i | −0.691247 | + | 0.0710430i | ||||
\(639\) | −8.41110 | −0.332738 | ||||||||
\(640\) | 7.43375 | + | 8.52873i | 0.293845 | + | 0.337128i | ||||
\(641\) | −27.9789 | −1.10510 | −0.552550 | − | 0.833480i | \(-0.686345\pi\) | ||||
−0.552550 | + | 0.833480i | \(0.686345\pi\) | |||||||
\(642\) | 19.8328 | − | 2.03831i | 0.782737 | − | 0.0804458i | ||||
\(643\) | 4.94108i | 0.194857i | 0.995243 | + | 0.0974285i | \(0.0310617\pi\) | ||||
−0.995243 | + | 0.0974285i | \(0.968938\pi\) | |||||||
\(644\) | 39.9688 | − | 8.30330i | 1.57499 | − | 0.327196i | ||||
\(645\) | − | 7.25443i | − | 0.285643i | ||||||
\(646\) | 1.15667 | + | 11.2544i | 0.0455087 | + | 0.442799i | ||||
\(647\) | −49.3694 | −1.94091 | −0.970455 | − | 0.241282i | \(-0.922432\pi\) | ||||
−0.970455 | + | 0.241282i | \(0.922432\pi\) | |||||||
\(648\) | 2.69597 | − | 0.855416i | 0.105908 | − | 0.0336039i | ||||
\(649\) | 13.6867 | 0.537248 | ||||||||
\(650\) | −0.0836184 | − | 0.813607i | −0.00327979 | − | 0.0319123i | ||||
\(651\) | 9.35218i | 0.366541i | ||||||||
\(652\) | −6.20555 | − | 29.8711i | −0.243028 | − | 1.16984i | ||||
\(653\) | 40.1744i | 1.57214i | 0.618134 | + | 0.786072i | \(0.287889\pi\) | ||||
−0.618134 | + | 0.786072i | \(0.712111\pi\) | |||||||
\(654\) | 10.2056 | − | 1.04888i | 0.399069 | − | 0.0410143i | ||||
\(655\) | −13.4600 | −0.525925 | ||||||||
\(656\) | 19.2786 | − | 8.37133i | 0.752703 | − | 0.326846i | ||||
\(657\) | 6.00000 | 0.234082 | ||||||||
\(658\) | −34.6167 | + | 3.55773i | −1.34950 | + | 0.138695i | ||||
\(659\) | − | 21.1255i | − | 0.822933i | −0.911425 | − | 0.411466i | \(-0.865017\pi\) | ||
0.911425 | − | 0.411466i | \(-0.134983\pi\) | |||||||
\(660\) | 2.52444 | + | 12.1517i | 0.0982636 | + | 0.473002i | ||||
\(661\) | − | 10.9200i | − | 0.424737i | −0.977190 | − | 0.212368i | \(-0.931882\pi\) | ||
0.977190 | − | 0.212368i | \(-0.0681177\pi\) | |||||||
\(662\) | 3.93197 | + | 38.2580i | 0.152820 | + | 1.48694i | ||||
\(663\) | −0.822200 | −0.0319316 | ||||||||
\(664\) | −2.78389 | − | 8.77384i | −0.108036 | − | 0.340491i | ||||
\(665\) | 20.4111 | 0.791509 | ||||||||
\(666\) | −1.13249 | − | 11.0192i | −0.0438833 | − | 0.426984i | ||||
\(667\) | 11.2544i | 0.435773i | ||||||||
\(668\) | 21.1169 | − | 4.38692i | 0.817038 | − | 0.169735i | ||||
\(669\) | − | 7.21611i | − | 0.278991i | ||||||
\(670\) | 5.62721 | − | 0.578337i | 0.217398 | − | 0.0223431i | ||||
\(671\) | −77.0177 | −2.97324 | ||||||||
\(672\) | −10.0539 | − | 17.8867i | −0.387838 | − | 0.689993i | ||||
\(673\) | −18.0000 | −0.693849 | −0.346925 | − | 0.937893i | \(-0.612774\pi\) | ||||
−0.346925 | + | 0.937893i | \(0.612774\pi\) | |||||||
\(674\) | 32.1063 | − | 3.29973i | 1.23669 | − | 0.127101i | ||||
\(675\) | 1.00000i | 0.0384900i | ||||||||
\(676\) | 24.8015 | − | 5.15238i | 0.953904 | − | 0.198168i | ||||
\(677\) | 30.4877i | 1.17174i | 0.810406 | + | 0.585869i | \(0.199247\pi\) | ||||
−0.810406 | + | 0.585869i | \(0.800753\pi\) | |||||||
\(678\) | −1.31386 | − | 12.7839i | −0.0504587 | − | 0.490962i | ||||
\(679\) | −17.5678 | −0.674189 | ||||||||
\(680\) | 1.21611 | + | 3.83276i | 0.0466358 | + | 0.146980i | ||||
\(681\) | 1.15667 | 0.0443239 | ||||||||
\(682\) | 2.31335 | + | 22.5089i | 0.0885827 | + | 0.861908i | ||||
\(683\) | − | 35.2544i | − | 1.34897i | −0.738287 | − | 0.674487i | \(-0.764365\pi\) | ||
0.738287 | − | 0.674487i | \(-0.235635\pi\) | |||||||
\(684\) | −2.28917 | − | 11.0192i | −0.0875285 | − | 0.421328i | ||||
\(685\) | − | 10.5783i | − | 0.404177i | ||||||
\(686\) | 4.30330 | − | 0.442272i | 0.164301 | − | 0.0168860i | ||||
\(687\) | 14.0978 | 0.537863 | ||||||||
\(688\) | 11.5577 | + | 26.6167i | 0.440634 | + | 1.01475i | ||||
\(689\) | −1.15667 | −0.0440658 | ||||||||
\(690\) | 7.91638 | − | 0.813607i | 0.301371 | − | 0.0309735i | ||||
\(691\) | − | 28.1361i | − | 1.07035i | −0.844742 | − | 0.535173i | \(-0.820246\pi\) | ||
0.844742 | − | 0.535173i | \(-0.179754\pi\) | |||||||
\(692\) | −5.55918 | − | 26.7597i | −0.211328 | − | 1.01725i | ||||
\(693\) | − | 22.5089i | − | 0.855041i | ||||||
\(694\) | 3.42166 | + | 33.2927i | 0.129885 | + | 1.26378i | ||||
\(695\) | −12.4705 | −0.473034 | ||||||||
\(696\) | 5.39194 | − | 1.71083i | 0.204381 | − | 0.0648489i | ||||
\(697\) | 7.47002 | 0.282947 | ||||||||
\(698\) | 5.04888 | + | 49.1255i | 0.191103 | + | 1.85943i | ||||
\(699\) | − | 14.5783i | − | 0.551403i | ||||||
\(700\) | 7.10278 | − | 1.47556i | 0.268460 | − | 0.0557710i | ||||
\(701\) | − | 34.8222i | − | 1.31522i | −0.753360 | − | 0.657608i | \(-0.771568\pi\) | ||
0.753360 | − | 0.657608i | \(-0.228432\pi\) | |||||||
\(702\) | 0.813607 | − | 0.0836184i | 0.0307076 | − | 0.00315597i | ||||
\(703\) | −44.0766 | −1.66238 | ||||||||
\(704\) | −28.6222 | − | 40.5628i | −1.07874 | − | 1.52877i | ||||
\(705\) | −6.78389 | −0.255496 | ||||||||
\(706\) | −22.4111 | + | 2.30330i | −0.843453 | + | 0.0866859i | ||||
\(707\) | − | 7.25443i | − | 0.272831i | ||||||
\(708\) | −4.31889 | + | 0.897225i | −0.162314 | + | 0.0337198i | ||||
\(709\) | − | 7.58890i | − | 0.285007i | −0.989794 | − | 0.142504i | \(-0.954485\pi\) | ||
0.989794 | − | 0.142504i | \(-0.0455152\pi\) | |||||||
\(710\) | 1.21611 | + | 11.8328i | 0.0456399 | + | 0.444076i | ||||
\(711\) | −5.42166 | −0.203328 | ||||||||
\(712\) | −35.7336 | + | 11.3380i | −1.33917 | + | 0.424911i | ||||
\(713\) | 14.5089 | 0.543361 | ||||||||
\(714\) | −0.745574 | − | 7.25443i | −0.0279024 | − | 0.271490i | ||||
\(715\) | 3.58890i | 0.134217i | ||||||||
\(716\) | 3.68111 | + | 17.7194i | 0.137570 | + | 0.662206i | ||||
\(717\) | 19.2544i | 0.719070i | ||||||||
\(718\) | 11.8328 | − | 1.21611i | 0.441595 | − | 0.0453849i | ||||
\(719\) | −3.66553 | −0.136701 | −0.0683505 | − | 0.997661i | \(-0.521774\pi\) | ||||
−0.0683505 | + | 0.997661i | \(0.521774\pi\) | |||||||
\(720\) | −1.59320 | − | 3.66902i | −0.0593749 | − | 0.136736i | ||||
\(721\) | −8.96117 | −0.333731 | ||||||||
\(722\) | −17.8179 | + | 1.83124i | −0.663114 | + | 0.0681515i | ||||
\(723\) | − | 13.6655i | − | 0.508226i | ||||||
\(724\) | 9.45998 | + | 45.5366i | 0.351577 | + | 1.69235i | ||||
\(725\) | 2.00000i | 0.0742781i | ||||||||
\(726\) | −3.97735 | − | 38.6995i | −0.147613 | − | 1.43627i | ||||
\(727\) | −36.1149 | −1.33943 | −0.669714 | − | 0.742619i | \(-0.733584\pi\) | ||||
−0.669714 | + | 0.742619i | \(0.733584\pi\) | |||||||
\(728\) | −1.79445 | − | 5.65548i | −0.0665067 | − | 0.209606i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −0.867506 | − | 8.44082i | −0.0321078 | − | 0.312409i | ||||
\(731\) | 10.3133i | 0.381453i | ||||||||
\(732\) | 24.3033 | − | 5.04888i | 0.898276 | − | 0.186612i | ||||
\(733\) | − | 34.0071i | − | 1.25608i | −0.778180 | − | 0.628041i | \(-0.783857\pi\) | ||
0.778180 | − | 0.628041i | \(-0.216143\pi\) | |||||||
\(734\) | −34.3955 | + | 3.53500i | −1.26956 | + | 0.130479i | ||||
\(735\) | −6.15667 | −0.227092 | ||||||||
\(736\) | −27.7491 | + | 15.5975i | −1.02285 | + | 0.574931i | ||||
\(737\) | −24.8222 | −0.914338 | ||||||||
\(738\) | −7.39194 | + | 0.759707i | −0.272101 | + | 0.0279652i | ||||
\(739\) | − | 52.0172i | − | 1.91348i | −0.290939 | − | 0.956742i | \(-0.593968\pi\) | ||
0.290939 | − | 0.956742i | \(-0.406032\pi\) | |||||||
\(740\) | −15.3380 | + | 3.18639i | −0.563838 | + | 0.117134i | ||||
\(741\) | − | 3.25443i | − | 0.119554i | ||||||
\(742\) | −1.04888 | − | 10.2056i | −0.0385054 | − | 0.374658i | ||||
\(743\) | −23.3139 | −0.855303 | −0.427651 | − | 0.903944i | \(-0.640659\pi\) | ||||
−0.427651 | + | 0.903944i | \(0.640659\pi\) | |||||||
\(744\) | −2.20555 | − | 6.95112i | −0.0808594 | − | 0.254841i | ||||
\(745\) | 2.00000 | 0.0732743 | ||||||||
\(746\) | 0.0241798 | + | 0.235269i | 0.000885286 | + | 0.00861383i | ||||
\(747\) | 3.25443i | 0.119073i | ||||||||
\(748\) | −3.58890 | − | 17.2756i | −0.131223 | − | 0.631657i | ||||
\(749\) | 51.1355i | 1.86845i | ||||||||
\(750\) | 1.40680 | − | 0.144584i | 0.0513692 | − | 0.00527947i | ||||
\(751\) | 11.1083 | 0.405348 | 0.202674 | − | 0.979246i | \(-0.435037\pi\) | ||||
0.202674 | + | 0.979246i | \(0.435037\pi\) | |||||||
\(752\) | 24.8902 | − | 10.8081i | 0.907653 | − | 0.394130i | ||||
\(753\) | −7.14663 | −0.260438 | ||||||||
\(754\) | 1.62721 | − | 0.167237i | 0.0592596 | − | 0.00609041i | ||||
\(755\) | 12.6761i | 0.461330i | ||||||||
\(756\) | 1.47556 | + | 7.10278i | 0.0536657 | + | 0.258325i | ||||
\(757\) | − | 13.3239i | − | 0.484266i | −0.970243 | − | 0.242133i | \(-0.922153\pi\) | ||
0.970243 | − | 0.242133i | \(-0.0778470\pi\) | |||||||
\(758\) | −1.11691 | − | 10.8675i | −0.0405679 | − | 0.394726i | ||||
\(759\) | −34.9200 | −1.26751 | ||||||||
\(760\) | −15.1708 | + | 4.81361i | −0.550303 | + | 0.174608i | ||||
\(761\) | −17.1355 | −0.621163 | −0.310582 | − | 0.950547i | \(-0.600524\pi\) | ||||
−0.310582 | + | 0.950547i | \(0.600524\pi\) | |||||||
\(762\) | −1.51388 | − | 14.7300i | −0.0548419 | − | 0.533611i | ||||
\(763\) | 26.3133i | 0.952607i | ||||||||
\(764\) | −15.6655 | + | 3.25443i | −0.566759 | + | 0.117741i | ||||
\(765\) | − | 1.42166i | − | 0.0514003i | ||||||
\(766\) | −2.28917 | + | 0.235269i | −0.0827110 | + | 0.00850063i | ||||
\(767\) | −1.27555 | −0.0460575 | ||||||||
\(768\) | 11.6909 | + | 10.9234i | 0.421861 | + | 0.394166i | ||||
\(769\) | 5.47002 | 0.197254 | 0.0986270 | − | 0.995124i | \(-0.468555\pi\) | ||||
0.0986270 | + | 0.995124i | \(0.468555\pi\) | |||||||
\(770\) | −31.6655 | + | 3.25443i | −1.14115 | + | 0.117281i | ||||
\(771\) | 7.73501i | 0.278570i | ||||||||
\(772\) | 50.2580 | − | 10.4408i | 1.80882 | − | 0.375773i | ||||
\(773\) | 3.15667i | 0.113538i | 0.998387 | + | 0.0567688i | \(0.0180798\pi\) | ||||
−0.998387 | + | 0.0567688i | \(0.981920\pi\) | |||||||
\(774\) | −1.04888 | − | 10.2056i | −0.0377011 | − | 0.366831i | ||||
\(775\) | 2.57834 | 0.0926166 | ||||||||
\(776\) | 13.0575 | − | 4.14306i | 0.468736 | − | 0.148727i | ||||
\(777\) | 28.4111 | 1.01924 | ||||||||
\(778\) | −1.78032 | − | 17.3225i | −0.0638274 | − | 0.621040i | ||||
\(779\) | 29.5678i | 1.05938i | ||||||||
\(780\) | −0.235269 | − | 1.13249i | −0.00842400 | − | 0.0405498i | ||||
\(781\) | − | 52.1955i | − | 1.86770i | ||||||
\(782\) | −11.2544 | + | 1.15667i | −0.402457 | + | 0.0413626i | ||||
\(783\) | −2.00000 | −0.0714742 | ||||||||
\(784\) | 22.5890 | − | 9.80879i | 0.806749 | − | 0.350314i | ||||
\(785\) | −1.32391 | −0.0472524 | ||||||||
\(786\) | −18.9355 | + | 1.94610i | −0.675408 | + | 0.0694151i | ||||
\(787\) | − | 31.1355i | − | 1.10986i | −0.831896 | − | 0.554931i | \(-0.812745\pi\) | ||
0.831896 | − | 0.554931i | \(-0.187255\pi\) | |||||||
\(788\) | −6.16578 | − | 29.6797i | −0.219647 | − | 1.05729i | ||||
\(789\) | − | 18.7839i | − | 0.668724i | ||||||
\(790\) | 0.783887 | + | 7.62721i | 0.0278895 | + | 0.271364i | ||||
\(791\) | 32.9612 | 1.17196 | ||||||||
\(792\) | 5.30833 | + | 16.7300i | 0.188623 | + | 0.594474i | ||||
\(793\) | 7.17780 | 0.254891 | ||||||||
\(794\) | 2.75971 | + | 26.8519i | 0.0979383 | + | 0.952939i | ||||
\(795\) | − | 2.00000i | − | 0.0709327i | ||||||
\(796\) | −40.4877 | + | 8.41110i | −1.43505 | + | 0.298124i | ||||
\(797\) | 10.0000i | 0.354218i | 0.984191 | + | 0.177109i | \(0.0566745\pi\) | ||||
−0.984191 | + | 0.177109i | \(0.943325\pi\) | |||||||
\(798\) | 28.7144 | − | 2.95112i | 1.01648 | − | 0.104469i | ||||
\(799\) | 9.64440 | 0.341194 | ||||||||
\(800\) | −4.93124 | + | 2.77180i | −0.174346 | + | 0.0979978i | ||||
\(801\) | 13.2544 | 0.468322 | ||||||||
\(802\) | −20.2736 | + | 2.08362i | −0.715885 | + | 0.0735751i | ||||
\(803\) | 37.2333i | 1.31393i | ||||||||
\(804\) | 7.83276 | − | 1.62721i | 0.276240 | − | 0.0573874i | ||||
\(805\) | 20.4111i | 0.719397i | ||||||||
\(806\) | −0.215597 | − | 2.09775i | −0.00759406 | − | 0.0738902i | ||||
\(807\) | 8.50885 | 0.299526 | ||||||||
\(808\) | 1.71083 | + | 5.39194i | 0.0601868 | + | 0.189688i | ||||
\(809\) | 29.0388 | 1.02095 | 0.510475 | − | 0.859892i | \(-0.329469\pi\) | ||||
0.510475 | + | 0.859892i | \(0.329469\pi\) | |||||||
\(810\) | 0.144584 | + | 1.40680i | 0.00508017 | + | 0.0494300i | ||||
\(811\) | − | 2.58838i | − | 0.0908904i | −0.998967 | − | 0.0454452i | \(-0.985529\pi\) | ||
0.998967 | − | 0.0454452i | \(-0.0144706\pi\) | |||||||
\(812\) | 2.95112 | + | 14.2056i | 0.103564 | + | 0.498517i | ||||
\(813\) | 30.9894i | 1.08685i | ||||||||
\(814\) | 68.3799 | − | 7.02775i | 2.39672 | − | 0.246323i | ||||
\(815\) | 15.2544 | 0.534339 | ||||||||
\(816\) | 2.26499 | + | 5.21611i | 0.0792905 | + | 0.182600i | ||||
\(817\) | −40.8222 | −1.42819 | ||||||||
\(818\) | −11.6952 | + | 1.20198i | −0.408915 | + | 0.0420262i | ||||
\(819\) | 2.09775i | 0.0733014i | ||||||||
\(820\) | 2.13752 | + | 10.2892i | 0.0746454 | + | 0.359313i | ||||
\(821\) | 38.1955i | 1.33303i | 0.745491 | + | 0.666516i | \(0.232215\pi\) | ||||
−0.745491 | + | 0.666516i | \(0.767785\pi\) | |||||||
\(822\) | −1.52946 | − | 14.8816i | −0.0533461 | − | 0.519057i | ||||
\(823\) | −18.3517 | −0.639699 | −0.319849 | − | 0.947468i | \(-0.603632\pi\) | ||||
−0.319849 | + | 0.947468i | \(0.603632\pi\) | |||||||
\(824\) | 6.66050 | − | 2.11334i | 0.232030 | − | 0.0736216i | ||||
\(825\) | −6.20555 | −0.216050 | ||||||||
\(826\) | −1.15667 | − | 11.2544i | −0.0402458 | − | 0.391592i | ||||
\(827\) | − | 20.0000i | − | 0.695468i | −0.937593 | − | 0.347734i | \(-0.886951\pi\) | ||
0.937593 | − | 0.347734i | \(-0.113049\pi\) | |||||||
\(828\) | 11.0192 | − | 2.28917i | 0.382942 | − | 0.0795541i | ||||
\(829\) | 24.7456i | 0.859449i | 0.902960 | + | 0.429725i | \(0.141389\pi\) | ||||
−0.902960 | + | 0.429725i | \(0.858611\pi\) | |||||||
\(830\) | 4.57834 | − | 0.470539i | 0.158916 | − | 0.0163326i | ||||
\(831\) | 9.51941 | 0.330225 | ||||||||
\(832\) | 2.66750 | + | 3.78032i | 0.0924788 | + | 0.131059i | ||||
\(833\) | 8.75272 | 0.303264 | ||||||||
\(834\) | −17.5436 | + | 1.80304i | −0.607485 | + | 0.0624343i | ||||
\(835\) | 10.7839i | 0.373192i | ||||||||
\(836\) | 68.3799 | − | 14.2056i | 2.36497 | − | 0.491309i | ||||
\(837\) | 2.57834i | 0.0891204i | ||||||||
\(838\) | 1.06446 | + | 10.3572i | 0.0367712 | + | 0.357784i | ||||
\(839\) | −53.4288 | −1.84457 | −0.922284 | − | 0.386514i | \(-0.873679\pi\) | ||||
−0.922284 | + | 0.386514i | \(0.873679\pi\) | |||||||
\(840\) | 9.77886 | − | 3.10278i | 0.337403 | − | 0.107056i | ||||
\(841\) | 25.0000 | 0.862069 | ||||||||
\(842\) | 4.35166 | + | 42.3416i | 0.149968 | + | 1.45919i | ||||
\(843\) | 13.6655i | 0.470666i | ||||||||
\(844\) | 0.829192 | + | 3.99141i | 0.0285420 | + | 0.137390i | ||||
\(845\) | 12.6655i | 0.435707i | ||||||||
\(846\) | −9.54359 | + | 0.980843i | −0.328116 | + | 0.0337221i | ||||
\(847\) | 99.7805 | 3.42850 | ||||||||
\(848\) | 3.18639 | + | 7.33804i | 0.109421 | + | 0.251989i | ||||
\(849\) | −20.0000 | −0.686398 | ||||||||
\(850\) | −2.00000 | + | 0.205550i | −0.0685994 | + | 0.00705031i | ||||
\(851\) | − | 44.0766i | − | 1.51093i | ||||||
\(852\) | 3.42166 | + | 16.4705i | 0.117224 | + | 0.564271i | ||||
\(853\) | 29.0661i | 0.995203i | 0.867406 | + | 0.497602i | \(0.165786\pi\) | ||||
−0.867406 | + | 0.497602i | \(0.834214\pi\) | |||||||
\(854\) | 6.50885 | + | 63.3311i | 0.222728 | + | 2.16714i | ||||
\(855\) | 5.62721 | 0.192447 | ||||||||
\(856\) | −12.0594 | − | 38.0071i | −0.412183 | − | 1.29906i | ||||
\(857\) | −10.2439 | −0.349924 | −0.174962 | − | 0.984575i | \(-0.555980\pi\) | ||||
−0.174962 | + | 0.984575i | \(0.555980\pi\) | |||||||
\(858\) | 0.518898 | + | 5.04888i | 0.0177149 | + | 0.172366i | ||||
\(859\) | 10.9794i | 0.374612i | 0.982302 | + | 0.187306i | \(0.0599756\pi\) | ||||
−0.982302 | + | 0.187306i | \(0.940024\pi\) | |||||||
\(860\) | −14.2056 | + | 2.95112i | −0.484405 | + | 0.100632i | ||||
\(861\) | − | 19.0589i | − | 0.649526i | ||||||
\(862\) | 11.8328 | − | 1.21611i | 0.403026 | − | 0.0414210i | ||||
\(863\) | 38.8605 | 1.32283 | 0.661414 | − | 0.750021i | \(-0.269957\pi\) | ||||
0.661414 | + | 0.750021i | \(0.269957\pi\) | |||||||
\(864\) | −2.77180 | − | 4.93124i | −0.0942985 | − | 0.167764i | ||||
\(865\) | 13.6655 | 0.464642 | ||||||||
\(866\) | −6.06803 | + | 0.623642i | −0.206200 | + | 0.0211922i | ||||
\(867\) | − | 14.9789i | − | 0.508709i | ||||||
\(868\) | 18.3133 | − | 3.80450i | 0.621596 | − | 0.129133i | ||||
\(869\) | − | 33.6444i | − | 1.14131i | ||||||
\(870\) | 0.289169 | + | 2.81361i | 0.00980373 | + | 0.0953902i | ||||
\(871\) | 2.31335 | 0.0783848 | ||||||||
\(872\) | −6.20555 | − | 19.5577i | −0.210146 | − | 0.662308i | ||||
\(873\) | −4.84333 | −0.163922 | ||||||||
\(874\) | −4.57834 | − | 44.5472i | −0.154865 | − | 1.50683i | ||||
\(875\) | 3.62721i | 0.122622i | ||||||||
\(876\) | −2.44082 | − | 11.7491i | −0.0824676 | − | 0.396967i | ||||
\(877\) | 22.3416i | 0.754423i | 0.926127 | + | 0.377211i | \(0.123117\pi\) | ||||
−0.926127 | + | 0.377211i | \(0.876883\pi\) | |||||||
\(878\) | 13.8328 | − | 1.42166i | 0.466833 | − | 0.0479788i | ||||
\(879\) | −4.31335 | −0.145486 | ||||||||
\(880\) | 22.7683 | − | 9.88666i | 0.767519 | − | 0.333279i | ||||
\(881\) | 9.88112 | 0.332903 | 0.166452 | − | 0.986050i | \(-0.446769\pi\) | ||||
0.166452 | + | 0.986050i | \(0.446769\pi\) | |||||||
\(882\) | −8.66123 | + | 0.890158i | −0.291639 | + | 0.0299732i | ||||
\(883\) | − | 10.6277i | − | 0.357652i | −0.983881 | − | 0.178826i | \(-0.942770\pi\) | ||
0.983881 | − | 0.178826i | \(-0.0572298\pi\) | |||||||
\(884\) | 0.334474 | + | 1.61003i | 0.0112496 | + | 0.0541510i | ||||
\(885\) | − | 2.20555i | − | 0.0741388i | ||||||
\(886\) | −3.08719 | − | 30.0383i | −0.103716 | − | 1.00916i | ||||
\(887\) | 11.6061 | 0.389694 | 0.194847 | − | 0.980834i | \(-0.437579\pi\) | ||||
0.194847 | + | 0.980834i | \(0.437579\pi\) | |||||||
\(888\) | −21.1169 | + | 6.70027i | −0.708637 | + | 0.224846i | ||||
\(889\) | 37.9789 | 1.27377 | ||||||||
\(890\) | −1.91638 | − | 18.6464i | −0.0642373 | − | 0.625028i | ||||
\(891\) | − | 6.20555i | − | 0.207894i | ||||||
\(892\) | −14.1305 | + | 2.93554i | −0.473125 | + | 0.0982891i | ||||
\(893\) | 38.1744i | 1.27746i | ||||||||
\(894\) | 2.81361 | − | 0.289169i | 0.0941011 | − | 0.00967124i | ||||
\(895\) | −9.04888 | −0.302471 | ||||||||
\(896\) | −30.9355 | + | 26.9638i | −1.03348 | + | 0.900797i | ||||
\(897\) | 3.25443 | 0.108662 | ||||||||
\(898\) | −28.5769 | + | 2.93699i | −0.953623 | + | 0.0980086i | ||||
\(899\) | 5.15667i | 0.171985i | ||||||||
\(900\) | 1.95819 | − | 0.406803i | 0.0652730 | − | 0.0135601i | ||||
\(901\) | 2.84333i | 0.0947249i | ||||||||
\(902\) | −4.71440 | − | 45.8711i | −0.156972 | − | 1.52734i | ||||
\(903\) | 26.3133 | 0.875653 | ||||||||
\(904\) | −24.4988 | + | 7.77332i | −0.814818 | + | 0.258537i | ||||
\(905\) | −23.2544 | −0.773003 | ||||||||
\(906\) | 1.83276 | + | 17.8328i | 0.0608895 | + | 0.592454i | ||||
\(907\) | − | 0.195504i | − | 0.00649159i | −0.999995 | − | 0.00324580i | \(-0.998967\pi\) | ||
0.999995 | − | 0.00324580i | \(-0.00103317\pi\) | |||||||
\(908\) | −0.470539 | − | 2.26499i | −0.0156154 | − | 0.0751663i | ||||
\(909\) | − | 2.00000i | − | 0.0663358i | ||||||
\(910\) | 2.95112 | − | 0.303302i | 0.0978288 | − | 0.0100544i | ||||
\(911\) | −7.88112 | −0.261113 | −0.130557 | − | 0.991441i | \(-0.541676\pi\) | ||||
−0.130557 | + | 0.991441i | \(0.541676\pi\) | |||||||
\(912\) | −20.6464 | + | 8.96526i | −0.683670 | + | 0.296869i | ||||
\(913\) | −20.1955 | −0.668374 | ||||||||
\(914\) | −4.71585 | + | 0.484672i | −0.155987 | + | 0.0160315i | ||||
\(915\) | 12.4111i | 0.410298i | ||||||||
\(916\) | −5.73501 | − | 27.6061i | −0.189490 | − | 0.912131i | ||||
\(917\) | − | 48.8222i | − | 1.61225i | ||||||
\(918\) | −0.205550 | − | 2.00000i | −0.00678416 | − | 0.0660098i | ||||
\(919\) | 9.75614 | 0.321825 | 0.160913 | − | 0.986969i | \(-0.448556\pi\) | ||||
0.160913 | + | 0.986969i | \(0.448556\pi\) | |||||||
\(920\) | −4.81361 | − | 15.1708i | −0.158700 | − | 0.500167i | ||||
\(921\) | 25.5678 | 0.842487 | ||||||||
\(922\) | −4.12193 | − | 40.1063i | −0.135749 | − | 1.32083i | ||||
\(923\) | 4.86445i | 0.160115i | ||||||||
\(924\) | −44.0766 | + | 9.15667i | −1.45001 | + | 0.301232i | ||||
\(925\) | − | 7.83276i | − | 0.257540i | ||||||
\(926\) | 33.2388 | − | 3.41612i | 1.09230 | − | 0.112261i | ||||
\(927\) | −2.47054 | −0.0811431 | ||||||||
\(928\) | −5.54359 | − | 9.86248i | −0.181977 | − | 0.323752i | ||||
\(929\) | 6.82220 | 0.223829 | 0.111915 | − | 0.993718i | \(-0.464302\pi\) | ||||
0.111915 | + | 0.993718i | \(0.464302\pi\) | |||||||
\(930\) | 3.62721 | − | 0.372787i | 0.118941 | − | 0.0122242i | ||||
\(931\) | 34.6449i | 1.13544i | ||||||||
\(932\) | −28.5472 | + | 5.93051i | −0.935093 | + | 0.194260i | ||||
\(933\) | − | 20.0766i | − | 0.657279i | ||||||
\(934\) | 4.27504 | + | 41.5960i | 0.139883 | + | 1.36106i | ||||
\(935\) | 8.82220 | 0.288517 | ||||||||
\(936\) | −0.494719 | − | 1.55918i | −0.0161704 | − | 0.0509634i | ||||
\(937\) | 57.5266 | 1.87931 | 0.939655 | − | 0.342123i | \(-0.111146\pi\) | ||||
0.939655 | + | 0.342123i | \(0.111146\pi\) | |||||||
\(938\) | 2.09775 | + | 20.4111i | 0.0684940 | + | 0.666446i | ||||
\(939\) | 7.15667i | 0.233549i | ||||||||
\(940\) | 2.75971 | + | 13.2841i | 0.0900117 | + | 0.433281i | ||||
\(941\) | 0.508852i | 0.0165881i | 0.999966 | + | 0.00829405i | \(0.00264011\pi\) | ||||
−0.999966 | + | 0.00829405i | \(0.997360\pi\) | |||||||
\(942\) | −1.86248 | + | 0.191417i | −0.0606830 | + | 0.00623669i | ||||
\(943\) | −29.5678 | −0.962859 | ||||||||
\(944\) | 3.51388 | + | 8.09221i | 0.114367 | + | 0.263379i | ||||
\(945\) | −3.62721 | −0.117993 | ||||||||
\(946\) | 63.3311 | − | 6.50885i | 2.05907 | − | 0.211621i | ||||
\(947\) | − | 1.68665i | − | 0.0548088i | −0.999624 | − | 0.0274044i | \(-0.991276\pi\) | ||
0.999624 | − | 0.0274044i | \(-0.00872419\pi\) | |||||||
\(948\) | 2.20555 | + | 10.6167i | 0.0716329 | + | 0.344813i | ||||
\(949\) | − | 3.47002i | − | 0.112642i | ||||||
\(950\) | −0.813607 | − | 7.91638i | −0.0263969 | − | 0.256841i | ||||
\(951\) | 24.1744 | 0.783908 | ||||||||
\(952\) | −13.9022 | + | 4.41110i | −0.450574 | + | 0.142965i | ||||
\(953\) | 9.22616 | 0.298865 | 0.149432 | − | 0.988772i | \(-0.452255\pi\) | ||||
0.149432 | + | 0.988772i | \(0.452255\pi\) | |||||||
\(954\) | −0.289169 | − | 2.81361i | −0.00936218 | − | 0.0910939i | ||||
\(955\) | − | 8.00000i | − | 0.258874i | ||||||
\(956\) | 37.7038 | − | 7.83276i | 1.21943 | − | 0.253330i | ||||
\(957\) | − | 12.4111i | − | 0.401194i | ||||||
\(958\) | −31.0872 | + | 3.19499i | −1.00438 | + | 0.103225i | ||||
\(959\) | 38.3699 | 1.23903 | ||||||||
\(960\) | −6.53653 | + | 4.61235i | −0.210966 | + | 0.148863i | ||||
\(961\) | −24.3522 | −0.785554 | ||||||||
\(962\) | −6.37279 | + | 0.654963i | −0.205467 | + | 0.0211169i | ||||
\(963\) | 14.0978i | 0.454294i | ||||||||
\(964\) | −26.7597 | + | 5.55918i | −0.861872 | + | 0.179049i | ||||
\(965\) | 25.6655i | 0.826203i | ||||||||
\(966\) | 2.95112 | + | 28.7144i | 0.0949509 | + | 0.923871i | ||||
\(967\) | 12.2338 | 0.393413 | 0.196707 | − | 0.980462i | \(-0.436975\pi\) | ||||
0.196707 | + | 0.980462i | \(0.436975\pi\) | |||||||
\(968\) | −74.1631 | + | 23.5315i | −2.38369 | + | 0.756331i | ||||
\(969\) | −8.00000 | −0.256997 | ||||||||
\(970\) | 0.700269 | + | 6.81361i | 0.0224843 | + | 0.218772i | ||||
\(971\) | − | 33.2444i | − | 1.06686i | −0.845843 | − | 0.533431i | \(-0.820902\pi\) | ||
0.845843 | − | 0.533431i | \(-0.179098\pi\) | |||||||
\(972\) | 0.406803 | + | 1.95819i | 0.0130482 | + | 0.0628090i | ||||
\(973\) | − | 45.2333i | − | 1.45011i | ||||||
\(974\) | 5.68111 | − | 0.583877i | 0.182035 | − | 0.0187086i | ||||
\(975\) | 0.578337 | 0.0185216 | ||||||||
\(976\) | −19.7733 | − | 45.5366i | −0.632929 | − | 1.45759i | ||||
\(977\) | 7.93051 | 0.253720 | 0.126860 | − | 0.991921i | \(-0.459510\pi\) | ||||
0.126860 | + | 0.991921i | \(0.459510\pi\) | |||||||
\(978\) | 21.4600 | − | 2.20555i | 0.686214 | − | 0.0705257i | ||||
\(979\) | 82.2510i | 2.62875i | ||||||||
\(980\) | 2.50456 | + | 12.0559i | 0.0800051 | + | 0.385113i | ||||
\(981\) | 7.25443i | 0.231616i | ||||||||
\(982\) | −2.63224 | − | 25.6116i | −0.0839980 | − | 0.817300i | ||||
\(983\) | 41.8993 | 1.33638 | 0.668191 | − | 0.743990i | \(-0.267069\pi\) | ||||
0.668191 | + | 0.743990i | \(0.267069\pi\) | |||||||
\(984\) | 4.49472 | + | 14.1658i | 0.143286 | + | 0.451589i | ||||
\(985\) | 15.1567 | 0.482932 | ||||||||
\(986\) | −0.411100 | − | 4.00000i | −0.0130921 | − | 0.127386i | ||||
\(987\) | − | 24.6066i | − | 0.783237i | ||||||
\(988\) | −6.37279 | + | 1.32391i | −0.202745 | + | 0.0421192i | ||||
\(989\) | − | 40.8222i | − | 1.29807i | ||||||
\(990\) | −8.72999 | + | 0.897225i | −0.277457 | + | 0.0285157i | ||||
\(991\) | −35.1849 | −1.11769 | −0.558843 | − | 0.829273i | \(-0.688755\pi\) | ||||
−0.558843 | + | 0.829273i | \(0.688755\pi\) | |||||||
\(992\) | −12.7144 | + | 7.14663i | −0.403683 | + | 0.226906i | ||||
\(993\) | −27.1950 | −0.863007 | ||||||||
\(994\) | −42.9200 | + | 4.41110i | −1.36134 | + | 0.139912i | ||||
\(995\) | − | 20.6761i | − | 0.655476i | ||||||
\(996\) | 6.37279 | − | 1.32391i | 0.201929 | − | 0.0419497i | ||||
\(997\) | − | 8.04836i | − | 0.254894i | −0.991845 | − | 0.127447i | \(-0.959322\pi\) | ||
0.991845 | − | 0.127447i | \(-0.0406783\pi\) | |||||||
\(998\) | −0.00859389 | − | 0.0836184i | −0.000272035 | − | 0.00264690i | ||||
\(999\) | 7.83276 | 0.247818 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))