Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(53,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.w (of order \(4\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 77.3 | ||
Character | \(\chi\) | \(=\) | 120.77 |
Dual form | 120.2.w.c.53.3 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30986 | − | 0.533177i | −0.926208 | − | 0.377013i | ||||
\(3\) | −1.59834 | − | 0.667305i | −0.922805 | − | 0.385268i | ||||
\(4\) | 1.43144 | + | 1.39677i | 0.715722 | + | 0.698385i | ||||
\(5\) | −0.143028 | + | 2.23149i | −0.0639642 | + | 0.997952i | ||||
\(6\) | 1.73781 | + | 1.72627i | 0.709457 | + | 0.704748i | ||||
\(7\) | 0.582772 | + | 0.582772i | 0.220267 | + | 0.220267i | 0.808611 | − | 0.588344i | \(-0.200220\pi\) |
−0.588344 | + | 0.808611i | \(0.700220\pi\) | |||||||
\(8\) | −1.13026 | − | 2.59278i | −0.399606 | − | 0.916687i | ||||
\(9\) | 2.10941 | + | 2.13317i | 0.703136 | + | 0.711055i | ||||
\(10\) | 1.37713 | − | 2.84667i | 0.435485 | − | 0.900196i | ||||
\(11\) | 3.68607 | 1.11139 | 0.555695 | − | 0.831386i | \(-0.312452\pi\) | ||||
0.555695 | + | 0.831386i | \(0.312452\pi\) | |||||||
\(12\) | −1.35587 | − | 3.18773i | −0.391405 | − | 0.920218i | ||||
\(13\) | 3.88771 | + | 3.88771i | 1.07826 | + | 1.07826i | 0.996666 | + | 0.0815911i | \(0.0260002\pi\) |
0.0815911 | + | 0.996666i | \(0.474000\pi\) | |||||||
\(14\) | −0.452626 | − | 1.07407i | −0.120969 | − | 0.287057i | ||||
\(15\) | 1.71769 | − | 3.47124i | 0.443506 | − | 0.896271i | ||||
\(16\) | 0.0980619 | + | 3.99880i | 0.0245155 | + | 0.999699i | ||||
\(17\) | −0.880105 | + | 0.880105i | −0.213457 | + | 0.213457i | −0.805734 | − | 0.592277i | \(-0.798229\pi\) |
0.592277 | + | 0.805734i | \(0.298229\pi\) | |||||||
\(18\) | −1.62567 | − | 3.91883i | −0.383173 | − | 0.923677i | ||||
\(19\) | −6.32919 | −1.45201 | −0.726007 | − | 0.687687i | \(-0.758626\pi\) | ||||
−0.726007 | + | 0.687687i | \(0.758626\pi\) | |||||||
\(20\) | −3.32162 | + | 2.99447i | −0.742736 | + | 0.669585i | ||||
\(21\) | −0.542584 | − | 1.32036i | −0.118402 | − | 0.288125i | ||||
\(22\) | −4.82821 | − | 1.96533i | −1.02938 | − | 0.419009i | ||||
\(23\) | 2.06626 | + | 2.06626i | 0.430844 | + | 0.430844i | 0.888916 | − | 0.458071i | \(-0.151460\pi\) |
−0.458071 | + | 0.888916i | \(0.651460\pi\) | |||||||
\(24\) | 0.0763660 | + | 4.89838i | 0.0155882 | + | 0.999878i | ||||
\(25\) | −4.95909 | − | 0.638332i | −0.991817 | − | 0.127666i | ||||
\(26\) | −3.01950 | − | 7.16518i | −0.592173 | − | 1.40521i | ||||
\(27\) | −1.94809 | − | 4.81715i | −0.374910 | − | 0.927061i | ||||
\(28\) | 0.0202063 | + | 1.64820i | 0.00381863 | + | 0.311481i | ||||
\(29\) | 1.37122i | 0.254630i | 0.991862 | + | 0.127315i | \(0.0406359\pi\) | ||||
−0.991862 | + | 0.127315i | \(0.959364\pi\) | |||||||
\(30\) | −4.10072 | + | 3.63099i | −0.748685 | + | 0.662926i | ||||
\(31\) | 3.32075 | 0.596425 | 0.298212 | − | 0.954500i | \(-0.403610\pi\) | ||||
0.298212 | + | 0.954500i | \(0.403610\pi\) | |||||||
\(32\) | 2.00362 | − | 5.29013i | 0.354194 | − | 0.935172i | ||||
\(33\) | −5.89160 | − | 2.45973i | −1.02560 | − | 0.428184i | ||||
\(34\) | 1.62206 | − | 0.683558i | 0.278181 | − | 0.117229i | ||||
\(35\) | −1.38380 | + | 1.21710i | −0.233905 | + | 0.205727i | ||||
\(36\) | 0.0399575 | + | 5.99987i | 0.00665958 | + | 0.999978i | ||||
\(37\) | 2.44147 | − | 2.44147i | 0.401376 | − | 0.401376i | −0.477342 | − | 0.878718i | \(-0.658400\pi\) |
0.878718 | + | 0.477342i | \(0.158400\pi\) | |||||||
\(38\) | 8.29032 | + | 3.37458i | 1.34487 | + | 0.547429i | ||||
\(39\) | −3.61961 | − | 8.80819i | −0.579602 | − | 1.41044i | ||||
\(40\) | 5.94742 | − | 2.15132i | 0.940370 | − | 0.340153i | ||||
\(41\) | − | 0.648104i | − | 0.101217i | −0.998719 | − | 0.0506084i | \(-0.983884\pi\) | ||
0.998719 | − | 0.0506084i | \(-0.0161160\pi\) | |||||||
\(42\) | 0.00672215 | + | 2.01877i | 0.00103725 | + | 0.311503i | ||||
\(43\) | 0.819412 | + | 0.819412i | 0.124959 | + | 0.124959i | 0.766821 | − | 0.641861i | \(-0.221838\pi\) |
−0.641861 | + | 0.766821i | \(0.721838\pi\) | |||||||
\(44\) | 5.27640 | + | 5.14859i | 0.795447 | + | 0.776179i | ||||
\(45\) | −5.06184 | + | 4.40202i | −0.754574 | + | 0.656214i | ||||
\(46\) | −1.60482 | − | 3.80818i | −0.236617 | − | 0.561485i | ||||
\(47\) | −6.28508 | + | 6.28508i | −0.916772 | + | 0.916772i | −0.996793 | − | 0.0800208i | \(-0.974501\pi\) |
0.0800208 | + | 0.996793i | \(0.474501\pi\) | |||||||
\(48\) | 2.51168 | − | 6.45689i | 0.362530 | − | 0.931972i | ||||
\(49\) | − | 6.32075i | − | 0.902965i | ||||||
\(50\) | 6.15534 | + | 3.48020i | 0.870497 | + | 0.492174i | ||||
\(51\) | 1.99401 | − | 0.819412i | 0.279217 | − | 0.114741i | ||||
\(52\) | 0.134798 | + | 10.9953i | 0.0186931 | + | 1.52477i | ||||
\(53\) | 5.60782 | − | 5.60782i | 0.770293 | − | 0.770293i | −0.207864 | − | 0.978158i | \(-0.566651\pi\) |
0.978158 | + | 0.207864i | \(0.0666512\pi\) | |||||||
\(54\) | −0.0166776 | + | 7.34845i | −0.00226953 | + | 0.999997i | ||||
\(55\) | −0.527212 | + | 8.22542i | −0.0710892 | + | 1.10911i | ||||
\(56\) | 0.852318 | − | 2.16968i | 0.113896 | − | 0.289936i | ||||
\(57\) | 10.1162 | + | 4.22349i | 1.33993 | + | 0.559415i | ||||
\(58\) | 0.731106 | − | 1.79611i | 0.0959989 | − | 0.235840i | ||||
\(59\) | − | 6.12026i | − | 0.796790i | −0.917214 | − | 0.398395i | \(-0.869567\pi\) | ||
0.917214 | − | 0.398395i | \(-0.130433\pi\) | |||||||
\(60\) | 7.30731 | − | 2.56967i | 0.943370 | − | 0.331743i | ||||
\(61\) | − | 5.13471i | − | 0.657432i | −0.944429 | − | 0.328716i | \(-0.893384\pi\) | ||
0.944429 | − | 0.328716i | \(-0.106616\pi\) | |||||||
\(62\) | −4.34971 | − | 1.77055i | −0.552413 | − | 0.224860i | ||||
\(63\) | −0.0138443 | + | 2.47245i | −0.00174421 | + | 0.311500i | ||||
\(64\) | −5.44503 | + | 5.86102i | −0.680629 | + | 0.732628i | ||||
\(65\) | −9.23144 | + | 8.11933i | −1.14502 | + | 1.00708i | ||||
\(66\) | 6.40568 | + | 6.36316i | 0.788484 | + | 0.783251i | ||||
\(67\) | 4.90636 | − | 4.90636i | 0.599408 | − | 0.599408i | −0.340747 | − | 0.940155i | \(-0.610680\pi\) |
0.940155 | + | 0.340747i | \(0.110680\pi\) | |||||||
\(68\) | −2.48912 | + | 0.0305156i | −0.301851 | + | 0.00370056i | ||||
\(69\) | −1.92377 | − | 4.68141i | −0.231594 | − | 0.563576i | ||||
\(70\) | 2.46151 | − | 0.856408i | 0.294207 | − | 0.102360i | ||||
\(71\) | − | 4.13251i | − | 0.490439i | −0.969468 | − | 0.245220i | \(-0.921140\pi\) | ||
0.969468 | − | 0.245220i | \(-0.0788601\pi\) | |||||||
\(72\) | 3.14666 | − | 7.88026i | 0.370837 | − | 0.928698i | ||||
\(73\) | 4.69820 | − | 4.69820i | 0.549883 | − | 0.549883i | −0.376524 | − | 0.926407i | \(-0.622881\pi\) |
0.926407 | + | 0.376524i | \(0.122881\pi\) | |||||||
\(74\) | −4.49972 | + | 1.89624i | −0.523082 | + | 0.220433i | ||||
\(75\) | 7.50036 | + | 4.32950i | 0.866068 | + | 0.499927i | ||||
\(76\) | −9.05987 | − | 8.84042i | −1.03924 | − | 1.01407i | ||||
\(77\) | 2.14814 | + | 2.14814i | 0.244803 | + | 0.244803i | ||||
\(78\) | 0.0448439 | + | 13.4674i | 0.00507757 | + | 1.52488i | ||||
\(79\) | 1.10079i | 0.123848i | 0.998081 | + | 0.0619241i | \(0.0197237\pi\) | ||||
−0.998081 | + | 0.0619241i | \(0.980276\pi\) | |||||||
\(80\) | −8.93730 | − | 0.353117i | −0.999220 | − | 0.0394797i | ||||
\(81\) | −0.100786 | + | 8.99944i | −0.0111985 | + | 0.999937i | ||||
\(82\) | −0.345554 | + | 0.848922i | −0.0381601 | + | 0.0937478i | ||||
\(83\) | −6.27439 | + | 6.27439i | −0.688703 | + | 0.688703i | −0.961945 | − | 0.273242i | \(-0.911904\pi\) |
0.273242 | + | 0.961945i | \(0.411904\pi\) | |||||||
\(84\) | 1.06756 | − | 2.64788i | 0.116480 | − | 0.288908i | ||||
\(85\) | −1.83806 | − | 2.08982i | −0.199366 | − | 0.226673i | ||||
\(86\) | −0.636420 | − | 1.51020i | −0.0686269 | − | 0.162849i | ||||
\(87\) | 0.915024 | − | 2.19169i | 0.0981009 | − | 0.234974i | ||||
\(88\) | −4.16621 | − | 9.55717i | −0.444119 | − | 1.01880i | ||||
\(89\) | 15.3562 | 1.62775 | 0.813875 | − | 0.581040i | \(-0.197354\pi\) | ||||
0.813875 | + | 0.581040i | \(0.197354\pi\) | |||||||
\(90\) | 8.97734 | − | 3.06715i | 0.946294 | − | 0.323306i | ||||
\(91\) | 4.53130i | 0.475009i | ||||||||
\(92\) | 0.0716428 | + | 5.84382i | 0.00746928 | + | 0.609260i | ||||
\(93\) | −5.30771 | − | 2.21595i | −0.550384 | − | 0.229784i | ||||
\(94\) | 11.5836 | − | 4.88148i | 1.19476 | − | 0.503486i | ||||
\(95\) | 0.905253 | − | 14.1235i | 0.0928770 | − | 1.44904i | ||||
\(96\) | −6.73261 | + | 7.11843i | −0.687144 | + | 0.726521i | ||||
\(97\) | −5.42154 | − | 5.42154i | −0.550474 | − | 0.550474i | 0.376104 | − | 0.926578i | \(-0.377264\pi\) |
−0.926578 | + | 0.376104i | \(0.877264\pi\) | |||||||
\(98\) | −3.37008 | + | 8.27927i | −0.340430 | + | 0.836333i | ||||
\(99\) | 7.77542 | + | 7.86299i | 0.781459 | + | 0.790260i | ||||
\(100\) | −6.20705 | − | 7.84044i | −0.620705 | − | 0.784044i | ||||
\(101\) | −9.84442 | −0.979556 | −0.489778 | − | 0.871847i | \(-0.662922\pi\) | ||||
−0.489778 | + | 0.871847i | \(0.662922\pi\) | |||||||
\(102\) | −3.04875 | + | 0.0101518i | −0.301872 | + | 0.00100518i | ||||
\(103\) | −8.28098 | + | 8.28098i | −0.815949 | + | 0.815949i | −0.985518 | − | 0.169569i | \(-0.945762\pi\) |
0.169569 | + | 0.985518i | \(0.445762\pi\) | |||||||
\(104\) | 5.68587 | − | 14.4741i | 0.557545 | − | 1.41930i | ||||
\(105\) | 3.02397 | − | 1.02192i | 0.295109 | − | 0.0997293i | ||||
\(106\) | −10.3354 | + | 4.35547i | −1.00386 | + | 0.423041i | ||||
\(107\) | 5.84678 | + | 5.84678i | 0.565230 | + | 0.565230i | 0.930788 | − | 0.365559i | \(-0.119122\pi\) |
−0.365559 | + | 0.930788i | \(0.619122\pi\) | |||||||
\(108\) | 3.93987 | − | 9.61652i | 0.379114 | − | 0.925350i | ||||
\(109\) | −11.7033 | −1.12097 | −0.560487 | − | 0.828163i | \(-0.689386\pi\) | ||||
−0.560487 | + | 0.828163i | \(0.689386\pi\) | |||||||
\(110\) | 5.07618 | − | 10.4930i | 0.483995 | − | 1.00047i | ||||
\(111\) | −5.53152 | + | 2.27311i | −0.525029 | + | 0.215754i | ||||
\(112\) | −2.27324 | + | 2.38754i | −0.214801 | + | 0.225601i | ||||
\(113\) | −8.58333 | − | 8.58333i | −0.807452 | − | 0.807452i | 0.176796 | − | 0.984248i | \(-0.443427\pi\) |
−0.984248 | + | 0.176796i | \(0.943427\pi\) | |||||||
\(114\) | −10.9989 | − | 10.9259i | −1.03014 | − | 1.02330i | ||||
\(115\) | −4.90636 | + | 4.31530i | −0.457521 | + | 0.402403i | ||||
\(116\) | −1.91529 | + | 1.96283i | −0.177830 | + | 0.182244i | ||||
\(117\) | −0.0923560 | + | 16.4939i | −0.00853832 | + | 1.52486i | ||||
\(118\) | −3.26318 | + | 8.01666i | −0.300400 | + | 0.737993i | ||||
\(119\) | −1.02580 | −0.0940350 | ||||||||
\(120\) | −10.9416 | − | 0.530198i | −0.998828 | − | 0.0484002i | ||||
\(121\) | 2.58708 | 0.235189 | ||||||||
\(122\) | −2.73771 | + | 6.72573i | −0.247861 | + | 0.608919i | ||||
\(123\) | −0.432483 | + | 1.03589i | −0.0389956 | + | 0.0934033i | ||||
\(124\) | 4.75347 | + | 4.63833i | 0.426874 | + | 0.416535i | ||||
\(125\) | 2.13372 | − | 10.9748i | 0.190846 | − | 0.981620i | ||||
\(126\) | 1.33639 | − | 3.23118i | 0.119055 | − | 0.287856i | ||||
\(127\) | −0.0146460 | − | 0.0146460i | −0.00129962 | − | 0.00129962i | 0.706457 | − | 0.707756i | \(-0.250293\pi\) |
−0.707756 | + | 0.706457i | \(0.750293\pi\) | |||||||
\(128\) | 10.2572 | − | 4.77393i | 0.906615 | − | 0.421959i | ||||
\(129\) | −0.762905 | − | 1.85650i | −0.0671701 | − | 0.163456i | ||||
\(130\) | 16.4209 | − | 5.71316i | 1.44021 | − | 0.501077i | ||||
\(131\) | −5.23989 | −0.457811 | −0.228906 | − | 0.973449i | \(-0.573515\pi\) | ||||
−0.228906 | + | 0.973449i | \(0.573515\pi\) | |||||||
\(132\) | −4.99782 | − | 11.7502i | −0.435004 | − | 1.02272i | ||||
\(133\) | −3.68847 | − | 3.68847i | −0.319831 | − | 0.319831i | ||||
\(134\) | −9.04259 | + | 3.81066i | −0.781161 | + | 0.329191i | ||||
\(135\) | 11.0281 | − | 3.65816i | 0.949143 | − | 0.314844i | ||||
\(136\) | 3.27666 | + | 1.28717i | 0.280972 | + | 0.110374i | ||||
\(137\) | 14.0984 | − | 14.0984i | 1.20450 | − | 1.20450i | 0.231722 | − | 0.972782i | \(-0.425564\pi\) |
0.972782 | − | 0.231722i | \(-0.0744360\pi\) | |||||||
\(138\) | 0.0238338 | + | 7.15768i | 0.00202887 | + | 0.609302i | ||||
\(139\) | 9.22166 | 0.782171 | 0.391085 | − | 0.920354i | \(-0.372100\pi\) | ||||
0.391085 | + | 0.920354i | \(0.372100\pi\) | |||||||
\(140\) | −3.68084 | − | 0.190650i | −0.311088 | − | 0.0161128i | ||||
\(141\) | 14.2398 | − | 5.85165i | 1.19921 | − | 0.492798i | ||||
\(142\) | −2.20336 | + | 5.41300i | −0.184902 | + | 0.454249i | ||||
\(143\) | 14.3304 | + | 14.3304i | 1.19836 | + | 1.19836i | ||||
\(144\) | −8.32324 | + | 8.64428i | −0.693604 | + | 0.720357i | ||||
\(145\) | −3.05987 | − | 0.196124i | −0.254109 | − | 0.0162872i | ||||
\(146\) | −8.65895 | + | 3.64899i | −0.716619 | + | 0.301993i | ||||
\(147\) | −4.21787 | + | 10.1027i | −0.347884 | + | 0.833260i | ||||
\(148\) | 6.90501 | − | 0.0846526i | 0.567589 | − | 0.00695840i | ||||
\(149\) | 14.0054i | 1.14737i | 0.819076 | + | 0.573685i | \(0.194487\pi\) | ||||
−0.819076 | + | 0.573685i | \(0.805513\pi\) | |||||||
\(150\) | −7.51601 | − | 9.67004i | −0.613679 | − | 0.789555i | ||||
\(151\) | 13.1301 | 1.06851 | 0.534255 | − | 0.845323i | \(-0.320592\pi\) | ||||
0.534255 | + | 0.845323i | \(0.320592\pi\) | |||||||
\(152\) | 7.15361 | + | 16.4102i | 0.580234 | + | 1.33104i | ||||
\(153\) | −3.73391 | − | 0.0209077i | −0.301869 | − | 0.00169028i | ||||
\(154\) | −1.66841 | − | 3.95909i | −0.134444 | − | 0.319032i | ||||
\(155\) | −0.474962 | + | 7.41023i | −0.0381498 | + | 0.595204i | ||||
\(156\) | 7.12175 | − | 17.6642i | 0.570196 | − | 1.41427i | ||||
\(157\) | 6.36936 | − | 6.36936i | 0.508330 | − | 0.508330i | −0.405683 | − | 0.914014i | \(-0.632966\pi\) |
0.914014 | + | 0.405683i | \(0.132966\pi\) | |||||||
\(158\) | 0.586914 | − | 1.44187i | 0.0466924 | − | 0.114709i | ||||
\(159\) | −12.7054 | + | 5.22110i | −1.00760 | + | 0.414060i | ||||
\(160\) | 11.5183 | + | 5.22770i | 0.910601 | + | 0.413286i | ||||
\(161\) | 2.40831i | 0.189802i | ||||||||
\(162\) | 4.93031 | − | 11.7342i | 0.387362 | − | 0.921928i | ||||
\(163\) | 3.46013 | + | 3.46013i | 0.271018 | + | 0.271018i | 0.829510 | − | 0.558492i | \(-0.188620\pi\) |
−0.558492 | + | 0.829510i | \(0.688620\pi\) | |||||||
\(164\) | 0.905253 | − | 0.927724i | 0.0706884 | − | 0.0724431i | ||||
\(165\) | 6.33152 | − | 12.7952i | 0.492908 | − | 0.996108i | ||||
\(166\) | 11.5639 | − | 4.87318i | 0.897533 | − | 0.378232i | ||||
\(167\) | −0.954151 | + | 0.954151i | −0.0738345 | + | 0.0738345i | −0.743060 | − | 0.669225i | \(-0.766626\pi\) |
0.669225 | + | 0.743060i | \(0.266626\pi\) | |||||||
\(168\) | −2.81014 | + | 2.89915i | −0.216807 | + | 0.223674i | ||||
\(169\) | 17.2286i | 1.32528i | ||||||||
\(170\) | 1.29335 | + | 3.71738i | 0.0991955 | + | 0.285110i | ||||
\(171\) | −13.3508 | − | 13.5012i | −1.02096 | − | 1.03246i | ||||
\(172\) | 0.0284113 | + | 2.31747i | 0.00216634 | + | 0.176706i | ||||
\(173\) | −1.80240 | + | 1.80240i | −0.137034 | + | 0.137034i | −0.772296 | − | 0.635262i | \(-0.780892\pi\) |
0.635262 | + | 0.772296i | \(0.280892\pi\) | |||||||
\(174\) | −2.36711 | + | 2.38293i | −0.179450 | + | 0.180649i | ||||
\(175\) | −2.51801 | − | 3.26202i | −0.190344 | − | 0.246585i | ||||
\(176\) | 0.361463 | + | 14.7398i | 0.0272463 | + | 1.11106i | ||||
\(177\) | −4.08408 | + | 9.78228i | −0.306978 | + | 0.735281i | ||||
\(178\) | −20.1144 | − | 8.18756i | −1.50763 | − | 0.613683i | ||||
\(179\) | − | 24.0166i | − | 1.79508i | −0.440930 | − | 0.897541i | \(-0.645351\pi\) | ||
0.440930 | − | 0.897541i | \(-0.354649\pi\) | |||||||
\(180\) | −13.3944 | − | 0.768986i | −0.998356 | − | 0.0573168i | ||||
\(181\) | 21.7210i | 1.61451i | 0.590205 | + | 0.807253i | \(0.299047\pi\) | ||||
−0.590205 | + | 0.807253i | \(0.700953\pi\) | |||||||
\(182\) | 2.41599 | − | 5.93535i | 0.179085 | − | 0.439957i | ||||
\(183\) | −3.42641 | + | 8.20703i | −0.253288 | + | 0.606681i | ||||
\(184\) | 3.02195 | − | 7.69276i | 0.222781 | − | 0.567117i | ||||
\(185\) | 5.09892 | + | 5.79732i | 0.374880 | + | 0.426228i | ||||
\(186\) | 5.77083 | + | 5.73253i | 0.423138 | + | 0.420329i | ||||
\(187\) | −3.24412 | + | 3.24412i | −0.237234 | + | 0.237234i | ||||
\(188\) | −17.7755 | + | 0.217921i | −1.29641 | + | 0.0158935i | ||||
\(189\) | 1.67201 | − | 3.94259i | 0.121621 | − | 0.286781i | ||||
\(190\) | −8.71609 | + | 18.0171i | −0.632331 | + | 1.30710i | ||||
\(191\) | − | 12.9839i | − | 0.939479i | −0.882805 | − | 0.469739i | \(-0.844348\pi\) | ||
0.882805 | − | 0.469739i | \(-0.155652\pi\) | |||||||
\(192\) | 12.6141 | − | 5.73444i | 0.910346 | − | 0.413847i | ||||
\(193\) | 9.48630 | − | 9.48630i | 0.682839 | − | 0.682839i | −0.277800 | − | 0.960639i | \(-0.589605\pi\) |
0.960639 | + | 0.277800i | \(0.0896053\pi\) | |||||||
\(194\) | 4.21079 | + | 9.99208i | 0.302317 | + | 0.717389i | ||||
\(195\) | 20.1731 | − | 6.81731i | 1.44462 | − | 0.488197i | ||||
\(196\) | 8.82864 | − | 9.04780i | 0.630617 | − | 0.646272i | ||||
\(197\) | −12.8606 | − | 12.8606i | −0.916280 | − | 0.916280i | 0.0804765 | − | 0.996757i | \(-0.474356\pi\) |
−0.996757 | + | 0.0804765i | \(0.974356\pi\) | |||||||
\(198\) | −5.99231 | − | 14.4451i | −0.425855 | − | 1.02657i | ||||
\(199\) | − | 0.0463625i | − | 0.00328655i | −0.999999 | − | 0.00164328i | \(-0.999477\pi\) | ||
0.999999 | − | 0.00164328i | \(-0.000523071\pi\) | |||||||
\(200\) | 3.94999 | + | 13.5793i | 0.279306 | + | 0.960202i | ||||
\(201\) | −11.1161 | + | 4.56802i | −0.784069 | + | 0.322203i | ||||
\(202\) | 12.8948 | + | 5.24882i | 0.907273 | + | 0.369306i | ||||
\(203\) | −0.799111 | + | 0.799111i | −0.0560866 | + | 0.0560866i | ||||
\(204\) | 3.99884 | + | 1.61223i | 0.279975 | + | 0.112879i | ||||
\(205\) | 1.44624 | + | 0.0926972i | 0.101010 | + | 0.00647425i | ||||
\(206\) | 15.2621 | − | 6.43165i | 1.06336 | − | 0.448115i | ||||
\(207\) | −0.0490858 | + | 8.76625i | −0.00341170 | + | 0.609296i | ||||
\(208\) | −15.1649 | + | 15.9274i | −1.05150 | + | 1.10437i | ||||
\(209\) | −23.3298 | −1.61376 | ||||||||
\(210\) | −4.50582 | − | 0.273741i | −0.310931 | − | 0.0188899i | ||||
\(211\) | 0.591066i | 0.0406907i | 0.999793 | + | 0.0203453i | \(0.00647657\pi\) | ||||
−0.999793 | + | 0.0203453i | \(0.993523\pi\) | |||||||
\(212\) | 15.8601 | − | 0.194439i | 1.08928 | − | 0.0133541i | ||||
\(213\) | −2.75765 | + | 6.60518i | −0.188951 | + | 0.452579i | ||||
\(214\) | −4.54107 | − | 10.7758i | −0.310421 | − | 0.736619i | ||||
\(215\) | −1.94571 | + | 1.71131i | −0.132696 | + | 0.116710i | ||||
\(216\) | −10.2880 | + | 10.4956i | −0.700008 | + | 0.714135i | ||||
\(217\) | 1.93524 | + | 1.93524i | 0.131373 | + | 0.131373i | ||||
\(218\) | 15.3296 | + | 6.23994i | 1.03825 | + | 0.422622i | ||||
\(219\) | −10.6445 | + | 4.37421i | −0.719287 | + | 0.295582i | ||||
\(220\) | −12.2437 | + | 11.0378i | −0.825470 | + | 0.744170i | ||||
\(221\) | −6.84318 | −0.460322 | ||||||||
\(222\) | 8.45747 | − | 0.0281619i | 0.567628 | − | 0.00189010i | ||||
\(223\) | 16.8577 | − | 16.8577i | 1.12888 | − | 1.12888i | 0.138517 | − | 0.990360i | \(-0.455767\pi\) |
0.990360 | − | 0.138517i | \(-0.0442335\pi\) | |||||||
\(224\) | 4.25060 | − | 1.91529i | 0.284005 | − | 0.127970i | ||||
\(225\) | −9.09907 | − | 11.9251i | −0.606605 | − | 0.795003i | ||||
\(226\) | 6.66649 | + | 15.8194i | 0.443448 | + | 1.05229i | ||||
\(227\) | −7.23390 | − | 7.23390i | −0.480131 | − | 0.480131i | 0.425043 | − | 0.905173i | \(-0.360259\pi\) |
−0.905173 | + | 0.425043i | \(0.860259\pi\) | |||||||
\(228\) | 8.58154 | + | 20.1757i | 0.568326 | + | 1.33617i | ||||
\(229\) | 23.0081 | 1.52042 | 0.760210 | − | 0.649677i | \(-0.225096\pi\) | ||||
0.760210 | + | 0.649677i | \(0.225096\pi\) | |||||||
\(230\) | 8.72744 | − | 3.03645i | 0.575471 | − | 0.200218i | ||||
\(231\) | −2.00000 | − | 4.86692i | −0.131590 | − | 0.320220i | ||||
\(232\) | 3.55529 | − | 1.54984i | 0.233416 | − | 0.101752i | ||||
\(233\) | 4.45082 | + | 4.45082i | 0.291583 | + | 0.291583i | 0.837705 | − | 0.546122i | \(-0.183897\pi\) |
−0.546122 | + | 0.837705i | \(0.683897\pi\) | |||||||
\(234\) | 8.91515 | − | 21.5554i | 0.582802 | − | 1.40912i | ||||
\(235\) | −13.1261 | − | 14.9240i | −0.856254 | − | 0.973536i | ||||
\(236\) | 8.54860 | − | 8.76081i | 0.556466 | − | 0.570280i | ||||
\(237\) | 0.734560 | − | 1.75944i | 0.0477148 | − | 0.114288i | ||||
\(238\) | 1.34365 | + | 0.546934i | 0.0870959 | + | 0.0354524i | ||||
\(239\) | −4.03472 | −0.260984 | −0.130492 | − | 0.991449i | \(-0.541656\pi\) | ||||
−0.130492 | + | 0.991449i | \(0.541656\pi\) | |||||||
\(240\) | 14.0492 | + | 6.52830i | 0.906875 | + | 0.421400i | ||||
\(241\) | −11.4612 | −0.738279 | −0.369139 | − | 0.929374i | \(-0.620347\pi\) | ||||
−0.369139 | + | 0.929374i | \(0.620347\pi\) | |||||||
\(242\) | −3.38871 | − | 1.37937i | −0.217834 | − | 0.0886696i | ||||
\(243\) | 6.16646 | − | 14.3169i | 0.395578 | − | 0.918432i | ||||
\(244\) | 7.17201 | − | 7.35005i | 0.459141 | − | 0.470538i | ||||
\(245\) | 14.1047 | + | 0.904047i | 0.901116 | + | 0.0577574i | ||||
\(246\) | 1.11880 | − | 1.12628i | 0.0713324 | − | 0.0718090i | ||||
\(247\) | −24.6060 | − | 24.6060i | −1.56564 | − | 1.56564i | ||||
\(248\) | −3.75331 | − | 8.60999i | −0.238335 | − | 0.546735i | ||||
\(249\) | 14.2156 | − | 5.84170i | 0.900874 | − | 0.370203i | ||||
\(250\) | −8.64641 | + | 13.2378i | −0.546847 | + | 0.837233i | ||||
\(251\) | 17.4804 | 1.10335 | 0.551677 | − | 0.834058i | \(-0.313988\pi\) | ||||
0.551677 | + | 0.834058i | \(0.313988\pi\) | |||||||
\(252\) | −3.47327 | + | 3.51984i | −0.218795 | + | 0.221729i | ||||
\(253\) | 7.61636 | + | 7.61636i | 0.478836 | + | 0.478836i | ||||
\(254\) | 0.0113752 | + | 0.0269930i | 0.000713745 | + | 0.00169369i | ||||
\(255\) | 1.54331 | + | 4.56681i | 0.0966458 | + | 0.285984i | ||||
\(256\) | −15.9808 | + | 0.784260i | −0.998798 | + | 0.0490162i | ||||
\(257\) | −6.77283 | + | 6.77283i | −0.422477 | + | 0.422477i | −0.886056 | − | 0.463578i | \(-0.846565\pi\) |
0.463578 | + | 0.886056i | \(0.346565\pi\) | |||||||
\(258\) | 0.00945175 | + | 2.83851i | 0.000588440 | + | 0.176718i | ||||
\(259\) | 2.84565 | 0.176820 | ||||||||
\(260\) | −24.5551 | − | 1.27184i | −1.52284 | − | 0.0788760i | ||||
\(261\) | −2.92505 | + | 2.89247i | −0.181056 | + | 0.179040i | ||||
\(262\) | 6.86350 | + | 2.79379i | 0.424028 | + | 0.172601i | ||||
\(263\) | −15.3708 | − | 15.3708i | −0.947805 | − | 0.947805i | 0.0508987 | − | 0.998704i | \(-0.483791\pi\) |
−0.998704 | + | 0.0508987i | \(0.983791\pi\) | |||||||
\(264\) | 0.281490 | + | 18.0558i | 0.0173245 | + | 1.11126i | ||||
\(265\) | 11.7117 | + | 13.3159i | 0.719445 | + | 0.817987i | ||||
\(266\) | 2.86476 | + | 6.79798i | 0.175649 | + | 0.416811i | ||||
\(267\) | −24.5444 | − | 10.2472i | −1.50209 | − | 0.627121i | ||||
\(268\) | 13.8762 | − | 0.170117i | 0.847627 | − | 0.0103916i | ||||
\(269\) | 9.58859i | 0.584627i | 0.956323 | + | 0.292313i | \(0.0944250\pi\) | ||||
−0.956323 | + | 0.292313i | \(0.905575\pi\) | |||||||
\(270\) | −16.3956 | − | 1.08825i | −0.997804 | − | 0.0662289i | ||||
\(271\) | −20.9078 | −1.27006 | −0.635030 | − | 0.772487i | \(-0.719012\pi\) | ||||
−0.635030 | + | 0.772487i | \(0.719012\pi\) | |||||||
\(272\) | −3.60567 | − | 3.43306i | −0.218626 | − | 0.208160i | ||||
\(273\) | 3.02376 | − | 7.24257i | 0.183006 | − | 0.438341i | ||||
\(274\) | −25.9837 | + | 10.9499i | −1.56974 | + | 0.661507i | ||||
\(275\) | −18.2795 | − | 2.35293i | −1.10230 | − | 0.141887i | ||||
\(276\) | 3.78510 | − | 9.38824i | 0.227836 | − | 0.565106i | ||||
\(277\) | −8.86336 | + | 8.86336i | −0.532547 | + | 0.532547i | −0.921330 | − | 0.388782i | \(-0.872896\pi\) |
0.388782 | + | 0.921330i | \(0.372896\pi\) | |||||||
\(278\) | −12.0790 | − | 4.91678i | −0.724453 | − | 0.294889i | ||||
\(279\) | 7.00483 | + | 7.08372i | 0.419368 | + | 0.424091i | ||||
\(280\) | 4.71972 | + | 2.21226i | 0.282057 | + | 0.132208i | ||||
\(281\) | − | 12.1925i | − | 0.727341i | −0.931528 | − | 0.363670i | \(-0.881523\pi\) | ||
0.931528 | − | 0.363670i | \(-0.118477\pi\) | |||||||
\(282\) | −21.7720 | + | 0.0724970i | −1.29650 | + | 0.00431713i | ||||
\(283\) | −11.6799 | − | 11.6799i | −0.694298 | − | 0.694298i | 0.268877 | − | 0.963175i | \(-0.413348\pi\) |
−0.963175 | + | 0.268877i | \(0.913348\pi\) | |||||||
\(284\) | 5.77217 | − | 5.91546i | 0.342516 | − | 0.351018i | ||||
\(285\) | −10.8716 | + | 21.9701i | −0.643977 | + | 1.30140i | ||||
\(286\) | −11.1301 | − | 26.4113i | −0.658135 | − | 1.56173i | ||||
\(287\) | 0.377697 | − | 0.377697i | 0.0222947 | − | 0.0222947i | ||||
\(288\) | 15.5112 | − | 6.88500i | 0.914005 | − | 0.405702i | ||||
\(289\) | 15.4508i | 0.908872i | ||||||||
\(290\) | 3.90342 | + | 1.88835i | 0.229217 | + | 0.110888i | ||||
\(291\) | 5.04767 | + | 12.2833i | 0.295900 | + | 0.720060i | ||||
\(292\) | 13.2875 | − | 0.162900i | 0.777594 | − | 0.00953298i | ||||
\(293\) | 5.16432 | − | 5.16432i | 0.301703 | − | 0.301703i | −0.539977 | − | 0.841680i | \(-0.681567\pi\) |
0.841680 | + | 0.539977i | \(0.181567\pi\) | |||||||
\(294\) | 10.9114 | − | 10.9843i | 0.636363 | − | 0.640615i | ||||
\(295\) | 13.6573 | + | 0.875370i | 0.795158 | + | 0.0509660i | ||||
\(296\) | −9.08971 | − | 3.57071i | −0.528328 | − | 0.207544i | ||||
\(297\) | −7.18079 | − | 17.7563i | −0.416672 | − | 1.03033i | ||||
\(298\) | 7.46739 | − | 18.3451i | 0.432574 | − | 1.06270i | ||||
\(299\) | 16.0660i | 0.929122i | ||||||||
\(300\) | 4.68904 | + | 16.6737i | 0.270722 | + | 0.962658i | ||||
\(301\) | 0.955061i | 0.0550488i | ||||||||
\(302\) | −17.1985 | − | 7.00066i | −0.989663 | − | 0.402843i | ||||
\(303\) | 15.7348 | + | 6.56923i | 0.903939 | + | 0.377392i | ||||
\(304\) | −0.620652 | − | 25.3091i | −0.0355968 | − | 1.45158i | ||||
\(305\) | 11.4580 | + | 0.734409i | 0.656086 | + | 0.0420521i | ||||
\(306\) | 4.87973 | + | 2.01822i | 0.278956 | + | 0.115374i | ||||
\(307\) | 9.19824 | − | 9.19824i | 0.524972 | − | 0.524972i | −0.394097 | − | 0.919069i | \(-0.628943\pi\) |
0.919069 | + | 0.394097i | \(0.128943\pi\) | |||||||
\(308\) | 0.0744818 | + | 6.07539i | 0.00424399 | + | 0.346177i | ||||
\(309\) | 18.7618 | − | 7.70992i | 1.06732 | − | 0.438602i | ||||
\(310\) | 4.57310 | − | 9.45309i | 0.259734 | − | 0.536899i | ||||
\(311\) | 30.5690i | 1.73341i | 0.498821 | + | 0.866705i | \(0.333767\pi\) | ||||
−0.498821 | + | 0.866705i | \(0.666233\pi\) | |||||||
\(312\) | −18.7466 | + | 19.3404i | −1.06132 | + | 1.09493i | ||||
\(313\) | −16.4612 | + | 16.4612i | −0.930440 | + | 0.930440i | −0.997733 | − | 0.0672931i | \(-0.978564\pi\) |
0.0672931 | + | 0.997733i | \(0.478564\pi\) | |||||||
\(314\) | −11.7389 | + | 4.94694i | −0.662467 | + | 0.279172i | ||||
\(315\) | −5.51527 | − | 0.384524i | −0.310750 | − | 0.0216655i | ||||
\(316\) | −1.53755 | + | 1.57571i | −0.0864937 | + | 0.0886408i | ||||
\(317\) | 0.000616701 | 0 | 0.000616701i | 3.46374e−5 | 0 | 3.46374e-5i | 0.707124 | − | 0.707089i | \(-0.249992\pi\) |
−0.707089 | + | 0.707124i | \(0.749992\pi\) | |||||||
\(318\) | 19.4260 | − | 0.0646850i | 1.08935 | − | 0.00362736i | ||||
\(319\) | 5.05442i | 0.282993i | ||||||||
\(320\) | −12.3000 | − | 12.9888i | −0.687592 | − | 0.726097i | ||||
\(321\) | −5.44358 | − | 13.2468i | −0.303831 | − | 0.739362i | ||||
\(322\) | 1.28406 | − | 3.15454i | 0.0715578 | − | 0.175796i | ||||
\(323\) | 5.57034 | − | 5.57034i | 0.309942 | − | 0.309942i | ||||
\(324\) | −12.7144 | + | 12.7414i | −0.706357 | + | 0.707856i | ||||
\(325\) | −16.7978 | − | 21.7611i | −0.931777 | − | 1.20709i | ||||
\(326\) | −2.68740 | − | 6.37713i | −0.148842 | − | 0.353196i | ||||
\(327\) | 18.7059 | + | 7.80967i | 1.03444 | + | 0.431876i | ||||
\(328\) | −1.68039 | + | 0.732524i | −0.0927841 | + | 0.0404469i | ||||
\(329\) | −7.32553 | −0.403870 | ||||||||
\(330\) | −15.1155 | + | 13.3841i | −0.832082 | + | 0.736770i | ||||
\(331\) | 8.28613i | 0.455447i | 0.973726 | + | 0.227724i | \(0.0731283\pi\) | ||||
−0.973726 | + | 0.227724i | \(0.926872\pi\) | |||||||
\(332\) | −17.7453 | + | 0.217550i | −0.973901 | + | 0.0119396i | ||||
\(333\) | 10.3581 | + | 0.0579994i | 0.567622 | + | 0.00317835i | ||||
\(334\) | 1.75853 | − | 0.741069i | 0.0962226 | − | 0.0405495i | ||||
\(335\) | 10.2467 | + | 11.6502i | 0.559839 | + | 0.636521i | ||||
\(336\) | 5.22663 | − | 2.29916i | 0.285136 | − | 0.125429i | ||||
\(337\) | 2.27666 | + | 2.27666i | 0.124018 | + | 0.124018i | 0.766392 | − | 0.642374i | \(-0.222050\pi\) |
−0.642374 | + | 0.766392i | \(0.722050\pi\) | |||||||
\(338\) | 9.18590 | − | 22.5670i | 0.499647 | − | 1.22748i | ||||
\(339\) | 7.99142 | + | 19.4468i | 0.434035 | + | 1.05621i | ||||
\(340\) | 0.287920 | − | 5.55882i | 0.0156147 | − | 0.301469i | ||||
\(341\) | 12.2405 | 0.662861 | ||||||||
\(342\) | 10.2891 | + | 24.8030i | 0.556373 | + | 1.34119i | ||||
\(343\) | 7.76296 | − | 7.76296i | 0.419161 | − | 0.419161i | ||||
\(344\) | 1.19841 | − | 3.05070i | 0.0646139 | − | 0.164483i | ||||
\(345\) | 10.7217 | − | 3.62329i | 0.577235 | − | 0.195071i | ||||
\(346\) | 3.32189 | − | 1.39989i | 0.178586 | − | 0.0752584i | ||||
\(347\) | 18.6384 | + | 18.6384i | 1.00056 | + | 1.00056i | 1.00000 | 0.000564305i | \(0.000179624\pi\) | |
0.000564305 | 1.00000i | \(0.499820\pi\) | ||||||||
\(348\) | 4.37109 | − | 1.85920i | 0.234315 | − | 0.0996636i | ||||
\(349\) | −17.7267 | −0.948889 | −0.474445 | − | 0.880285i | \(-0.657351\pi\) | ||||
−0.474445 | + | 0.880285i | \(0.657351\pi\) | |||||||
\(350\) | 1.55900 | + | 5.61532i | 0.0833321 | + | 0.300152i | ||||
\(351\) | 11.1541 | − | 26.3013i | 0.595360 | − | 1.40386i | ||||
\(352\) | 7.38548 | − | 19.4998i | 0.393648 | − | 1.03934i | ||||
\(353\) | 10.5779 | + | 10.5779i | 0.563007 | + | 0.563007i | 0.930160 | − | 0.367153i | \(-0.119668\pi\) |
−0.367153 | + | 0.930160i | \(0.619668\pi\) | |||||||
\(354\) | 10.5652 | − | 10.6358i | 0.561536 | − | 0.565288i | ||||
\(355\) | 9.22166 | + | 0.591066i | 0.489435 | + | 0.0313705i | ||||
\(356\) | 21.9815 | + | 21.4490i | 1.16502 | + | 1.13680i | ||||
\(357\) | 1.63958 | + | 0.684521i | 0.0867759 | + | 0.0362287i | ||||
\(358\) | −12.8051 | + | 31.4582i | −0.676770 | + | 1.66262i | ||||
\(359\) | 24.7266 | 1.30502 | 0.652510 | − | 0.757780i | \(-0.273716\pi\) | ||||
0.652510 | + | 0.757780i | \(0.273716\pi\) | |||||||
\(360\) | 17.1347 | + | 8.14883i | 0.903076 | + | 0.429481i | ||||
\(361\) | 21.0586 | 1.10835 | ||||||||
\(362\) | 11.5811 | − | 28.4513i | 0.608691 | − | 1.49537i | ||||
\(363\) | −4.13505 | − | 1.72637i | −0.217034 | − | 0.0906111i | ||||
\(364\) | −6.32919 | + | 6.48630i | −0.331739 | + | 0.339974i | ||||
\(365\) | 9.81201 | + | 11.1560i | 0.513584 | + | 0.583930i | ||||
\(366\) | 8.86391 | − | 8.92314i | 0.463324 | − | 0.466420i | ||||
\(367\) | 9.33767 | + | 9.33767i | 0.487423 | + | 0.487423i | 0.907492 | − | 0.420069i | \(-0.137994\pi\) |
−0.420069 | + | 0.907492i | \(0.637994\pi\) | |||||||
\(368\) | −8.05992 | + | 8.46516i | −0.420152 | + | 0.441277i | ||||
\(369\) | 1.38251 | − | 1.36712i | 0.0719707 | − | 0.0711692i | ||||
\(370\) | −3.58785 | − | 10.3123i | −0.186524 | − | 0.536110i | ||||
\(371\) | 6.53616 | 0.339341 | ||||||||
\(372\) | −4.50250 | − | 10.5857i | −0.233444 | − | 0.548841i | ||||
\(373\) | −11.9025 | − | 11.9025i | −0.616291 | − | 0.616291i | 0.328287 | − | 0.944578i | \(-0.393529\pi\) |
−0.944578 | + | 0.328287i | \(0.893529\pi\) | |||||||
\(374\) | 5.97903 | − | 2.51964i | 0.309168 | − | 0.130288i | ||||
\(375\) | −10.7340 | + | 16.1177i | −0.554301 | + | 0.832317i | ||||
\(376\) | 23.3996 | + | 9.19207i | 1.20674 | + | 0.474045i | ||||
\(377\) | −5.33092 | + | 5.33092i | −0.274557 | + | 0.274557i | ||||
\(378\) | −4.29219 | + | 4.27275i | −0.220766 | + | 0.219767i | ||||
\(379\) | −2.73341 | −0.140406 | −0.0702029 | − | 0.997533i | \(-0.522365\pi\) | ||||
−0.0702029 | + | 0.997533i | \(0.522365\pi\) | |||||||
\(380\) | 21.0231 | − | 18.9526i | 1.07846 | − | 0.972247i | ||||
\(381\) | 0.0136360 | + | 0.0331827i | 0.000698593 | + | 0.00170000i | ||||
\(382\) | −6.92270 | + | 17.0070i | −0.354196 | + | 0.870153i | ||||
\(383\) | −17.6065 | − | 17.6065i | −0.899651 | − | 0.899651i | 0.0957539 | − | 0.995405i | \(-0.469474\pi\) |
−0.995405 | + | 0.0957539i | \(0.969474\pi\) | |||||||
\(384\) | −19.5802 | + | 0.785717i | −0.999196 | + | 0.0400960i | ||||
\(385\) | −5.10079 | + | 4.48630i | −0.259960 | + | 0.228643i | ||||
\(386\) | −17.4836 | + | 7.36780i | −0.889890 | + | 0.375011i | ||||
\(387\) | −0.0194659 | + | 3.47642i | −0.000989506 | + | 0.176716i | ||||
\(388\) | −0.187980 | − | 15.3333i | −0.00954322 | − | 0.778429i | ||||
\(389\) | 25.1335i | 1.27432i | 0.770731 | + | 0.637160i | \(0.219891\pi\) | ||||
−0.770731 | + | 0.637160i | \(0.780109\pi\) | |||||||
\(390\) | −30.0587 | − | 1.82614i | −1.52208 | − | 0.0924704i | ||||
\(391\) | −3.63704 | −0.183933 | ||||||||
\(392\) | −16.3883 | + | 7.14408i | −0.827736 | + | 0.360831i | ||||
\(393\) | 8.37515 | + | 3.49660i | 0.422470 | + | 0.176380i | ||||
\(394\) | 9.98855 | + | 23.7025i | 0.503216 | + | 1.19412i | ||||
\(395\) | −2.45639 | − | 0.157444i | −0.123594 | − | 0.00792185i | ||||
\(396\) | 0.147286 | + | 22.1159i | 0.00740139 | + | 1.11137i | ||||
\(397\) | 5.42664 | − | 5.42664i | 0.272355 | − | 0.272355i | −0.557692 | − | 0.830048i | \(-0.688313\pi\) |
0.830048 | + | 0.557692i | \(0.188313\pi\) | |||||||
\(398\) | −0.0247195 | + | 0.0607282i | −0.00123907 | + | 0.00304403i | ||||
\(399\) | 3.43411 | + | 8.35678i | 0.171921 | + | 0.418362i | ||||
\(400\) | 2.06626 | − | 19.8930i | 0.103313 | − | 0.994649i | ||||
\(401\) | 5.15831i | 0.257594i | 0.991671 | + | 0.128797i | \(0.0411115\pi\) | ||||
−0.991671 | + | 0.128797i | \(0.958888\pi\) | |||||||
\(402\) | 16.9960 | − | 0.0565939i | 0.847686 | − | 0.00282264i | ||||
\(403\) | 12.9101 | + | 12.9101i | 0.643099 | + | 0.643099i | ||||
\(404\) | −14.0917 | − | 13.7504i | −0.701090 | − | 0.684108i | ||||
\(405\) | −20.0677 | − | 1.51208i | −0.997173 | − | 0.0751357i | ||||
\(406\) | 1.47279 | − | 0.620652i | 0.0730933 | − | 0.0308025i | ||||
\(407\) | 8.99944 | − | 8.99944i | 0.446085 | − | 0.446085i | ||||
\(408\) | −4.37830 | − | 4.24388i | −0.216758 | − | 0.210103i | ||||
\(409\) | − | 14.1638i | − | 0.700356i | −0.936683 | − | 0.350178i | \(-0.886121\pi\) | ||
0.936683 | − | 0.350178i | \(-0.113879\pi\) | |||||||
\(410\) | −1.84494 | − | 0.892521i | −0.0911149 | − | 0.0440785i | ||||
\(411\) | −31.9419 | + | 13.1261i | −1.57558 | + | 0.647464i | ||||
\(412\) | −23.4204 | + | 0.287124i | −1.15384 | + | 0.0141456i | ||||
\(413\) | 3.56672 | − | 3.56672i | 0.175507 | − | 0.175507i | ||||
\(414\) | 4.73826 | − | 11.4563i | 0.232873 | − | 0.563049i | ||||
\(415\) | −13.1038 | − | 14.8986i | −0.643241 | − | 0.731345i | ||||
\(416\) | 28.3560 | − | 12.7770i | 1.39027 | − | 0.626444i | ||||
\(417\) | −14.7394 | − | 6.15365i | −0.721791 | − | 0.301346i | ||||
\(418\) | 30.5587 | + | 12.4389i | 1.49467 | + | 0.608407i | ||||
\(419\) | 4.80514i | 0.234746i | 0.993088 | + | 0.117373i | \(0.0374474\pi\) | ||||
−0.993088 | + | 0.117373i | \(0.962553\pi\) | |||||||
\(420\) | 5.75603 | + | 2.76097i | 0.280865 | + | 0.134721i | ||||
\(421\) | − | 15.2187i | − | 0.741716i | −0.928690 | − | 0.370858i | \(-0.879064\pi\) | ||
0.928690 | − | 0.370858i | \(-0.120936\pi\) | |||||||
\(422\) | 0.315143 | − | 0.774212i | 0.0153409 | − | 0.0376880i | ||||
\(423\) | −26.6649 | − | 0.149308i | −1.29649 | − | 0.00725958i | ||||
\(424\) | −20.8781 | − | 8.20157i | −1.01393 | − | 0.398304i | ||||
\(425\) | 4.92631 | − | 3.80272i | 0.238961 | − | 0.184459i | ||||
\(426\) | 7.13385 | − | 7.18152i | 0.345636 | − | 0.347946i | ||||
\(427\) | 2.99236 | − | 2.99236i | 0.144811 | − | 0.144811i | ||||
\(428\) | 0.202724 | + | 16.5359i | 0.00979903 | + | 0.799295i | ||||
\(429\) | −13.3421 | − | 32.4676i | −0.644164 | − | 1.56755i | ||||
\(430\) | 3.46103 | − | 1.20416i | 0.166906 | − | 0.0580698i | ||||
\(431\) | 27.8760i | 1.34274i | 0.741122 | + | 0.671370i | \(0.234294\pi\) | ||||
−0.741122 | + | 0.671370i | \(0.765706\pi\) | |||||||
\(432\) | 19.0718 | − | 8.26240i | 0.917591 | − | 0.397525i | ||||
\(433\) | −2.78003 | + | 2.78003i | −0.133600 | + | 0.133600i | −0.770744 | − | 0.637145i | \(-0.780115\pi\) |
0.637145 | + | 0.770744i | \(0.280115\pi\) | |||||||
\(434\) | −1.50306 | − | 3.56672i | −0.0721492 | − | 0.171208i | ||||
\(435\) | 4.75985 | + | 2.35534i | 0.228218 | + | 0.112930i | ||||
\(436\) | −16.7526 | − | 16.3468i | −0.802305 | − | 0.782872i | ||||
\(437\) | −13.0777 | − | 13.0777i | −0.625592 | − | 0.625592i | ||||
\(438\) | 16.2750 | − | 0.0541928i | 0.777648 | − | 0.00258943i | ||||
\(439\) | − | 10.8174i | − | 0.516286i | −0.966107 | − | 0.258143i | \(-0.916889\pi\) | ||
0.966107 | − | 0.258143i | \(-0.0831105\pi\) | |||||||
\(440\) | 21.9226 | − | 7.92990i | 1.04512 | − | 0.378043i | ||||
\(441\) | 13.4832 | − | 13.3331i | 0.642058 | − | 0.634907i | ||||
\(442\) | 8.96358 | + | 3.64863i | 0.426354 | + | 0.173548i | ||||
\(443\) | −5.74963 | + | 5.74963i | −0.273173 | + | 0.273173i | −0.830376 | − | 0.557203i | \(-0.811874\pi\) |
0.557203 | + | 0.830376i | \(0.311874\pi\) | |||||||
\(444\) | −11.0931 | − | 4.47244i | −0.526454 | − | 0.212253i | ||||
\(445\) | −2.19637 | + | 34.2671i | −0.104118 | + | 1.62442i | ||||
\(446\) | −31.0693 | + | 13.0930i | −1.47118 | + | 0.619973i | ||||
\(447\) | 9.34590 | − | 22.3855i | 0.442046 | − | 1.05880i | ||||
\(448\) | −6.58885 | + | 0.242427i | −0.311294 | + | 0.0114536i | ||||
\(449\) | −6.91183 | −0.326189 | −0.163095 | − | 0.986610i | \(-0.552148\pi\) | ||||
−0.163095 | + | 0.986610i | \(0.552148\pi\) | |||||||
\(450\) | 5.56030 | + | 20.4715i | 0.262115 | + | 0.965037i | ||||
\(451\) | − | 2.38895i | − | 0.112491i | ||||||
\(452\) | −0.297608 | − | 24.2755i | −0.0139983 | − | 1.14182i | ||||
\(453\) | −20.9864 | − | 8.76176i | −0.986026 | − | 0.411663i | ||||
\(454\) | 5.61841 | + | 13.3323i | 0.263685 | + | 0.625716i | ||||
\(455\) | −10.1115 | − | 0.648104i | −0.474036 | − | 0.0303836i | ||||
\(456\) | −0.483335 | − | 31.0028i | −0.0226342 | − | 1.45184i | ||||
\(457\) | −5.15748 | − | 5.15748i | −0.241257 | − | 0.241257i | 0.576113 | − | 0.817370i | \(-0.304569\pi\) |
−0.817370 | + | 0.576113i | \(0.804569\pi\) | |||||||
\(458\) | −30.1373 | − | 12.2674i | −1.40823 | − | 0.573219i | ||||
\(459\) | 5.95412 | + | 2.52507i | 0.277915 | + | 0.117860i | ||||
\(460\) | −13.0507 | − | 0.675961i | −0.608490 | − | 0.0315169i | ||||
\(461\) | −18.4555 | −0.859558 | −0.429779 | − | 0.902934i | \(-0.641408\pi\) | ||||
−0.429779 | + | 0.902934i | \(0.641408\pi\) | |||||||
\(462\) | 0.0247783 | + | 7.44132i | 0.00115279 | + | 0.346202i | ||||
\(463\) | −19.6899 | + | 19.6899i | −0.915068 | + | 0.915068i | −0.996665 | − | 0.0815977i | \(-0.973998\pi\) |
0.0815977 | + | 0.996665i | \(0.473998\pi\) | |||||||
\(464\) | −5.48325 | + | 0.134465i | −0.254553 | + | 0.00624238i | ||||
\(465\) | 5.70403 | − | 11.5271i | 0.264518 | − | 0.534559i | ||||
\(466\) | −3.45685 | − | 8.20301i | −0.160136 | − | 0.379997i | ||||
\(467\) | −2.07946 | − | 2.07946i | −0.0962257 | − | 0.0962257i | 0.657355 | − | 0.753581i | \(-0.271675\pi\) |
−0.753581 | + | 0.657355i | \(0.771675\pi\) | |||||||
\(468\) | −23.1704 | + | 23.4811i | −1.07105 | + | 1.08541i | ||||
\(469\) | 5.71858 | 0.264060 | ||||||||
\(470\) | 9.23619 | + | 26.5469i | 0.426034 | + | 1.22452i | ||||
\(471\) | −14.4307 | + | 5.93013i | −0.664933 | + | 0.273246i | ||||
\(472\) | −15.8685 | + | 6.91747i | −0.730407 | + | 0.318402i | ||||
\(473\) | 3.02041 | + | 3.02041i | 0.138879 | + | 0.138879i | ||||
\(474\) | −1.90026 | + | 1.91296i | −0.0872818 | + | 0.0878650i | ||||
\(475\) | 31.3870 | + | 4.04012i | 1.44013 | + | 0.185374i | ||||
\(476\) | −1.46838 | − | 1.43281i | −0.0673029 | − | 0.0656727i | ||||
\(477\) | 23.7916 | + | 0.133219i | 1.08934 | + | 0.00609967i | ||||
\(478\) | 5.28490 | + | 2.15122i | 0.241725 | + | 0.0983945i | ||||
\(479\) | −19.7088 | −0.900517 | −0.450259 | − | 0.892898i | \(-0.648668\pi\) | ||||
−0.450259 | + | 0.892898i | \(0.648668\pi\) | |||||||
\(480\) | −14.9217 | − | 16.0419i | −0.681081 | − | 0.732208i | ||||
\(481\) | 18.9835 | 0.865573 | ||||||||
\(482\) | 15.0125 | + | 6.11083i | 0.683799 | + | 0.278341i | ||||
\(483\) | 1.60708 | − | 3.84931i | 0.0731246 | − | 0.175150i | ||||
\(484\) | 3.70326 | + | 3.61356i | 0.168330 | + | 0.164253i | ||||
\(485\) | 12.8735 | − | 11.3227i | 0.584557 | − | 0.514136i | ||||
\(486\) | −15.7106 | + | 15.4653i | −0.712649 | + | 0.701521i | ||||
\(487\) | 4.21395 | + | 4.21395i | 0.190952 | + | 0.190952i | 0.796107 | − | 0.605155i | \(-0.206889\pi\) |
−0.605155 | + | 0.796107i | \(0.706889\pi\) | |||||||
\(488\) | −13.3132 | + | 5.80354i | −0.602659 | + | 0.262714i | ||||
\(489\) | −3.22151 | − | 7.83943i | −0.145682 | − | 0.354511i | ||||
\(490\) | −17.9931 | − | 8.70447i | −0.812845 | − | 0.393228i | ||||
\(491\) | 27.7215 | 1.25105 | 0.625527 | − | 0.780203i | \(-0.284884\pi\) | ||||
0.625527 | + | 0.780203i | \(0.284884\pi\) | |||||||
\(492\) | −2.06598 | + | 0.878743i | −0.0931416 | + | 0.0396168i | ||||
\(493\) | −1.20682 | − | 1.20682i | −0.0543525 | − | 0.0543525i | ||||
\(494\) | 19.1110 | + | 45.3497i | 0.859843 | + | 2.04038i | ||||
\(495\) | −18.6583 | + | 16.2261i | −0.838627 | + | 0.729311i | ||||
\(496\) | 0.325640 | + | 13.2790i | 0.0146216 | + | 0.596246i | ||||
\(497\) | 2.40831 | − | 2.40831i | 0.108028 | − | 0.108028i | ||||
\(498\) | −21.7350 | + | 0.0723737i | −0.973968 | + | 0.00324314i | ||||
\(499\) | −5.14705 | −0.230414 | −0.115207 | − | 0.993342i | \(-0.536753\pi\) | ||||
−0.115207 | + | 0.993342i | \(0.536753\pi\) | |||||||
\(500\) | 18.3836 | − | 12.7296i | 0.822142 | − | 0.569283i | ||||
\(501\) | 2.16177 | − | 0.888353i | 0.0965809 | − | 0.0396887i | ||||
\(502\) | −22.8968 | − | 9.32016i | −1.02193 | − | 0.415979i | ||||
\(503\) | −12.2281 | − | 12.2281i | −0.545224 | − | 0.545224i | 0.379832 | − | 0.925056i | \(-0.375982\pi\) |
−0.925056 | + | 0.379832i | \(0.875982\pi\) | |||||||
\(504\) | 6.42618 | − | 2.75861i | 0.286245 | − | 0.122878i | ||||
\(505\) | 1.40803 | − | 21.9677i | 0.0626565 | − | 0.977550i | ||||
\(506\) | −5.91546 | − | 14.0372i | −0.262974 | − | 0.624030i | ||||
\(507\) | 11.4967 | − | 27.5372i | 0.510587 | − | 1.22297i | ||||
\(508\) | −0.000507817 | − | 0.0414220i | −2.25307e−5 | − | 0.00183780i | ||||
\(509\) | − | 35.8361i | − | 1.58841i | −0.607651 | − | 0.794204i | \(-0.707888\pi\) | ||
0.607651 | − | 0.794204i | \(-0.292112\pi\) | |||||||
\(510\) | 0.413405 | − | 6.80471i | 0.0183059 | − | 0.301318i | ||||
\(511\) | 5.47596 | 0.242242 | ||||||||
\(512\) | 21.3506 | + | 7.49332i | 0.943574 | + | 0.331161i | ||||
\(513\) | 12.3298 | + | 30.4886i | 0.544375 | + | 1.34611i | ||||
\(514\) | 12.4825 | − | 5.26031i | 0.550581 | − | 0.232022i | ||||
\(515\) | −17.2945 | − | 19.6633i | −0.762086 | − | 0.866469i | ||||
\(516\) | 1.50105 | − | 3.72308i | 0.0660800 | − | 0.163899i | ||||
\(517\) | −23.1672 | + | 23.1672i | −1.01889 | + | 1.01889i | ||||
\(518\) | −3.72738 | − | 1.51723i | −0.163772 | − | 0.0666634i | ||||
\(519\) | 4.08361 | − | 1.67811i | 0.179251 | − | 0.0736608i | ||||
\(520\) | 31.4856 | + | 14.7582i | 1.38073 | + | 0.647188i | ||||
\(521\) | 18.1715i | 0.796107i | 0.917362 | + | 0.398054i | \(0.130314\pi\) | ||||
−0.917362 | + | 0.398054i | \(0.869686\pi\) | |||||||
\(522\) | 5.37359 | − | 2.22915i | 0.235196 | − | 0.0975674i | ||||
\(523\) | 21.7444 | + | 21.7444i | 0.950815 | + | 0.950815i | 0.998846 | − | 0.0480305i | \(-0.0152945\pi\) |
−0.0480305 | + | 0.998846i | \(0.515294\pi\) | |||||||
\(524\) | −7.50061 | − | 7.31893i | −0.327666 | − | 0.319729i | ||||
\(525\) | 1.84789 | + | 6.89411i | 0.0806487 | + | 0.300884i | ||||
\(526\) | 11.9382 | + | 28.3289i | 0.520529 | + | 1.23520i | ||||
\(527\) | −2.92261 | + | 2.92261i | −0.127311 | + | 0.127311i | ||||
\(528\) | 9.25822 | − | 23.8005i | 0.402912 | − | 1.03579i | ||||
\(529\) | − | 14.4612i | − | 0.628746i | ||||||
\(530\) | −8.24093 | − | 23.6863i | −0.357963 | − | 1.02887i | ||||
\(531\) | 13.0555 | − | 12.9101i | 0.566561 | − | 0.560252i | ||||
\(532\) | −0.127889 | − | 10.4318i | −0.00554471 | − | 0.452275i | ||||
\(533\) | 2.51964 | − | 2.51964i | 0.109138 | − | 0.109138i | ||||
\(534\) | 26.6861 | + | 26.5089i | 1.15482 | + | 1.14715i | ||||
\(535\) | −13.8833 | + | 12.2108i | −0.600227 | + | 0.527918i | ||||
\(536\) | −18.2666 | − | 7.17567i | −0.788996 | − | 0.309942i | ||||
\(537\) | −16.0264 | + | 38.3867i | −0.691589 | + | 1.65651i | ||||
\(538\) | 5.11242 | − | 12.5597i | 0.220412 | − | 0.541486i | ||||
\(539\) | − | 23.2987i | − | 1.00355i | ||||||
\(540\) | 20.8956 | + | 10.1672i | 0.899205 | + | 0.437527i | ||||
\(541\) | − | 26.6843i | − | 1.14725i | −0.819119 | − | 0.573623i | \(-0.805537\pi\) | ||
0.819119 | − | 0.573623i | \(-0.194463\pi\) | |||||||
\(542\) | 27.3862 | + | 11.1476i | 1.17634 | + | 0.478830i | ||||
\(543\) | 14.4945 | − | 34.7176i | 0.622019 | − | 1.48987i | ||||
\(544\) | 2.89247 | + | 6.41927i | 0.124014 | + | 0.275224i | ||||
\(545\) | 1.67390 | − | 26.1158i | 0.0717022 | − | 1.11868i | ||||
\(546\) | −7.82226 | + | 7.87453i | −0.334762 | + | 0.336999i | ||||
\(547\) | −22.2551 | + | 22.2551i | −0.951559 | + | 0.951559i | −0.998880 | − | 0.0473207i | \(-0.984932\pi\) |
0.0473207 | + | 0.998880i | \(0.484932\pi\) | |||||||
\(548\) | 39.8732 | − | 0.488829i | 1.70330 | − | 0.0208817i | ||||
\(549\) | 10.9532 | − | 10.8312i | 0.467470 | − | 0.462264i | ||||
\(550\) | 22.6890 | + | 12.8282i | 0.967462 | + | 0.546998i | ||||
\(551\) | − | 8.67873i | − | 0.369726i | ||||||
\(552\) | −9.96353 | + | 10.2791i | −0.424076 | + | 0.437508i | ||||
\(553\) | −0.641507 | + | 0.641507i | −0.0272797 | + | 0.0272797i | ||||
\(554\) | 16.3355 | − | 6.88398i | 0.694027 | − | 0.292472i | ||||
\(555\) | −4.28125 | − | 12.6687i | −0.181729 | − | 0.537754i | ||||
\(556\) | 13.2003 | + | 12.8805i | 0.559817 | + | 0.546257i | ||||
\(557\) | 7.30615 | + | 7.30615i | 0.309572 | + | 0.309572i | 0.844743 | − | 0.535172i | \(-0.179753\pi\) |
−0.535172 | + | 0.844743i | \(0.679753\pi\) | |||||||
\(558\) | −5.39844 | − | 13.0135i | −0.228534 | − | 0.550904i | ||||
\(559\) | 6.37128i | 0.269476i | ||||||||
\(560\) | −5.00262 | − | 5.41419i | −0.211399 | − | 0.228791i | ||||
\(561\) | 7.35005 | − | 3.02041i | 0.310319 | − | 0.127522i | ||||
\(562\) | −6.50074 | + | 15.9704i | −0.274217 | + | 0.673669i | ||||
\(563\) | −21.3458 | + | 21.3458i | −0.899616 | + | 0.899616i | −0.995402 | − | 0.0957856i | \(-0.969464\pi\) |
0.0957856 | + | 0.995402i | \(0.469464\pi\) | |||||||
\(564\) | 28.5569 | + | 11.5134i | 1.20246 | + | 0.484801i | ||||
\(565\) | 20.3813 | − | 17.9260i | 0.857447 | − | 0.754150i | ||||
\(566\) | 9.07152 | + | 21.5264i | 0.381304 | + | 0.904823i | ||||
\(567\) | −5.30335 | + | 5.18588i | −0.222720 | + | 0.217787i | ||||
\(568\) | −10.7147 | + | 4.67081i | −0.449579 | + | 0.195983i | ||||
\(569\) | −35.6410 | −1.49415 | −0.747075 | − | 0.664740i | \(-0.768542\pi\) | ||||
−0.747075 | + | 0.664740i | \(0.768542\pi\) | |||||||
\(570\) | 25.9542 | − | 22.9812i | 1.08710 | − | 0.962578i | ||||
\(571\) | − | 9.49296i | − | 0.397268i | −0.980074 | − | 0.198634i | \(-0.936350\pi\) | ||
0.980074 | − | 0.198634i | \(-0.0636505\pi\) | |||||||
\(572\) | 0.496873 | + | 40.5293i | 0.0207753 | + | 1.69462i | ||||
\(573\) | −8.66419 | + | 20.7527i | −0.361952 | + | 0.866955i | ||||
\(574\) | −0.696108 | + | 0.293349i | −0.0290550 | + | 0.0122441i | ||||
\(575\) | −8.92779 | − | 11.5657i | −0.372314 | − | 0.482323i | ||||
\(576\) | −23.9883 | + | 0.748140i | −0.999514 | + | 0.0311725i | ||||
\(577\) | 10.6312 | + | 10.6312i | 0.442582 | + | 0.442582i | 0.892879 | − | 0.450297i | \(-0.148682\pi\) |
−0.450297 | + | 0.892879i | \(0.648682\pi\) | |||||||
\(578\) | 8.23803 | − | 20.2384i | 0.342657 | − | 0.841805i | ||||
\(579\) | −21.4926 | + | 8.83212i | −0.893203 | + | 0.367050i | ||||
\(580\) | −4.10609 | − | 4.55468i | −0.170496 | − | 0.189123i | ||||
\(581\) | −7.31307 | −0.303397 | ||||||||
\(582\) | −0.0625363 | − | 18.7807i | −0.00259221 | − | 0.778483i | ||||
\(583\) | 20.6708 | − | 20.6708i | 0.856097 | − | 0.856097i | ||||
\(584\) | −17.4916 | − | 6.87124i | −0.723808 | − | 0.284334i | ||||
\(585\) | −36.7927 | − | 2.56519i | −1.52119 | − | 0.106057i | ||||
\(586\) | −9.51801 | + | 4.01102i | −0.393186 | + | 0.165694i | ||||
\(587\) | 17.1910 | + | 17.1910i | 0.709550 | + | 0.709550i | 0.966441 | − | 0.256891i | \(-0.0826980\pi\) |
−0.256891 | + | 0.966441i | \(0.582698\pi\) | |||||||
\(588\) | −20.1489 | + | 8.57011i | −0.830925 | + | 0.353425i | ||||
\(589\) | −21.0177 | −0.866018 | ||||||||
\(590\) | −17.4224 | − | 8.42837i | −0.717267 | − | 0.346990i | ||||
\(591\) | 11.9737 | + | 29.1376i | 0.492534 | + | 1.19856i | ||||
\(592\) | 10.0024 | + | 9.52355i | 0.411095 | + | 0.391415i | ||||
\(593\) | 9.69544 | + | 9.69544i | 0.398144 | + | 0.398144i | 0.877578 | − | 0.479434i | \(-0.159158\pi\) |
−0.479434 | + | 0.877578i | \(0.659158\pi\) | |||||||
\(594\) | −0.0614747 | + | 27.0869i | −0.00252234 | + | 1.11139i | ||||
\(595\) | 0.146719 | − | 2.28906i | 0.00601487 | − | 0.0938424i | ||||
\(596\) | −19.5624 | + | 20.0480i | −0.801307 | + | 0.821198i | ||||
\(597\) | −0.0309379 | + | 0.0741033i | −0.00126621 | + | 0.00303285i | ||||
\(598\) | 8.56604 | − | 21.0442i | 0.350291 | − | 0.860560i | ||||
\(599\) | 26.8502 | 1.09707 | 0.548535 | − | 0.836128i | \(-0.315186\pi\) | ||||
0.548535 | + | 0.836128i | \(0.315186\pi\) | |||||||
\(600\) | 2.74809 | − | 24.3403i | 0.112190 | − | 0.993687i | ||||
\(601\) | −42.9566 | −1.75224 | −0.876119 | − | 0.482095i | \(-0.839876\pi\) | ||||
−0.876119 | + | 0.482095i | \(0.839876\pi\) | |||||||
\(602\) | 0.509217 | − | 1.25099i | 0.0207541 | − | 0.0509866i | ||||
\(603\) | 20.8156 | + | 0.116555i | 0.847677 | + | 0.00474649i | ||||
\(604\) | 18.7950 | + | 18.3397i | 0.764756 | + | 0.746232i | ||||
\(605\) | −0.370026 | + | 5.77305i | −0.0150437 | + | 0.234708i | ||||
\(606\) | −17.1077 | − | 16.9942i | −0.694953 | − | 0.690341i | ||||
\(607\) | 32.0417 | + | 32.0417i | 1.30053 | + | 1.30053i | 0.928033 | + | 0.372498i | \(0.121499\pi\) |
0.372498 | + | 0.928033i | \(0.378501\pi\) | |||||||
\(608\) | −12.6813 | + | 33.4822i | −0.514294 | + | 1.35788i | ||||
\(609\) | 1.81051 | − | 0.744004i | 0.0733654 | − | 0.0301486i | ||||
\(610\) | −14.6168 | − | 7.07114i | −0.591818 | − | 0.286302i | ||||
\(611\) | −48.8691 | −1.97703 | ||||||||
\(612\) | −5.31568 | − | 5.24534i | −0.214874 | − | 0.212030i | ||||
\(613\) | 20.1419 | + | 20.1419i | 0.813522 | + | 0.813522i | 0.985160 | − | 0.171638i | \(-0.0549060\pi\) |
−0.171638 | + | 0.985160i | \(0.554906\pi\) | |||||||
\(614\) | −16.9527 | + | 7.14408i | −0.684154 | + | 0.288311i | ||||
\(615\) | −2.24973 | − | 1.11324i | −0.0907177 | − | 0.0448903i | ||||
\(616\) | 3.14170 | − | 7.99760i | 0.126583 | − | 0.322232i | ||||
\(617\) | −7.33463 | + | 7.33463i | −0.295281 | + | 0.295281i | −0.839162 | − | 0.543881i | \(-0.816954\pi\) |
0.543881 | + | 0.839162i | \(0.316954\pi\) | |||||||
\(618\) | −28.6860 | + | 0.0955193i | −1.15392 | + | 0.00384235i | ||||
\(619\) | −11.9287 | −0.479456 | −0.239728 | − | 0.970840i | \(-0.577058\pi\) | ||||
−0.239728 | + | 0.970840i | \(0.577058\pi\) | |||||||
\(620\) | −11.0303 | + | 9.94391i | −0.442986 | + | 0.399357i | ||||
\(621\) | 5.92821 | − | 13.9787i | 0.237891 | − | 0.560947i | ||||
\(622\) | 16.2987 | − | 40.0410i | 0.653519 | − | 1.60550i | ||||
\(623\) | 8.94914 | + | 8.94914i | 0.358540 | + | 0.358540i | ||||
\(624\) | 34.8672 | − | 15.3378i | 1.39581 | − | 0.614005i | ||||
\(625\) | 24.1851 | + | 6.33109i | 0.967403 | + | 0.253244i | ||||
\(626\) | 30.3385 | − | 12.7850i | 1.21257 | − | 0.510993i | ||||
\(627\) | 37.2890 | + | 15.5681i | 1.48918 | + | 0.621729i | ||||
\(628\) | 18.0139 | − | 0.220843i | 0.718834 | − | 0.00881260i | ||||
\(629\) | 4.29751i | 0.171353i | ||||||||
\(630\) | 7.01919 | + | 3.44429i | 0.279651 | + | 0.137224i | ||||
\(631\) | 7.13985 | 0.284233 | 0.142116 | − | 0.989850i | \(-0.454609\pi\) | ||||
0.142116 | + | 0.989850i | \(0.454609\pi\) | |||||||
\(632\) | 2.85410 | − | 1.24417i | 0.113530 | − | 0.0494905i | ||||
\(633\) | 0.394421 | − | 0.944728i | 0.0156768 | − | 0.0375496i | ||||
\(634\) | −0.000478978 | − | 0.00113660i | −1.90227e−5 | − | 4.51402e-5i | ||||
\(635\) | 0.0347772 | − | 0.0305876i | 0.00138009 | − | 0.00121383i | ||||
\(636\) | −25.4797 | − | 10.2728i | −1.01034 | − | 0.407341i | ||||
\(637\) | 24.5733 | − | 24.5733i | 0.973628 | − | 0.973628i | ||||
\(638\) | 2.69490 | − | 6.62057i | 0.106692 | − | 0.262111i | ||||
\(639\) | 8.81533 | − | 8.71716i | 0.348729 | − | 0.344846i | ||||
\(640\) | 9.18590 | + | 23.5716i | 0.363104 | + | 0.931748i | ||||
\(641\) | − | 30.0187i | − | 1.18567i | −0.805325 | − | 0.592834i | \(-0.798009\pi\) | ||
0.805325 | − | 0.592834i | \(-0.201991\pi\) | |||||||
\(642\) | 0.0674414 | + | 20.2537i | 0.00266170 | + | 0.799351i | ||||
\(643\) | −32.7048 | − | 32.7048i | −1.28975 | − | 1.28975i | −0.934938 | − | 0.354812i | \(-0.884545\pi\) |
−0.354812 | − | 0.934938i | \(-0.615455\pi\) | |||||||
\(644\) | −3.36386 | + | 3.44736i | −0.132555 | + | 0.135845i | ||||
\(645\) | 4.25188 | − | 1.43688i | 0.167418 | − | 0.0565772i | ||||
\(646\) | −10.2663 | + | 4.32637i | −0.403923 | + | 0.170219i | ||||
\(647\) | 2.53026 | − | 2.53026i | 0.0994747 | − | 0.0994747i | −0.655618 | − | 0.755093i | \(-0.727592\pi\) |
0.755093 | + | 0.655618i | \(0.227592\pi\) | |||||||
\(648\) | 23.4475 | − | 9.91037i | 0.921104 | − | 0.389316i | ||||
\(649\) | − | 22.5597i | − | 0.885545i | ||||||
\(650\) | 10.4002 | + | 37.4602i | 0.407929 | + | 1.46931i | ||||
\(651\) | −1.80179 | − | 4.38458i | −0.0706176 | − | 0.171845i | ||||
\(652\) | 0.119972 | + | 9.78598i | 0.00469847 | + | 0.383248i | ||||
\(653\) | −23.8061 | + | 23.8061i | −0.931604 | + | 0.931604i | −0.997806 | − | 0.0662023i | \(-0.978912\pi\) |
0.0662023 | + | 0.997806i | \(0.478912\pi\) | |||||||
\(654\) | −20.3381 | − | 20.2031i | −0.795283 | − | 0.790004i | ||||
\(655\) | 0.749453 | − | 11.6928i | 0.0292835 | − | 0.456874i | ||||
\(656\) | 2.59164 | − | 0.0635543i | 0.101186 | − | 0.00248138i | ||||
\(657\) | 19.9325 | + | 0.111610i | 0.777640 | + | 0.00435432i | ||||
\(658\) | 9.59539 | + | 3.90581i | 0.374067 | + | 0.152264i | ||||
\(659\) | − | 15.7130i | − | 0.612093i | −0.952017 | − | 0.306047i | \(-0.900994\pi\) | ||
0.952017 | − | 0.306047i | \(-0.0990063\pi\) | |||||||
\(660\) | 26.9352 | − | 9.47197i | 1.04845 | − | 0.368696i | ||||
\(661\) | 25.2637i | 0.982643i | 0.870978 | + | 0.491322i | \(0.163486\pi\) | ||||
−0.870978 | + | 0.491322i | \(0.836514\pi\) | |||||||
\(662\) | 4.41798 | − | 10.8536i | 0.171710 | − | 0.421839i | ||||
\(663\) | 10.9378 | + | 4.56649i | 0.424788 | + | 0.177348i | ||||
\(664\) | 23.3598 | + | 9.17644i | 0.906536 | + | 0.356115i | ||||
\(665\) | 8.75834 | − | 7.70323i | 0.339634 | − | 0.298718i | ||||
\(666\) | −13.5367 | − | 5.59869i | −0.524538 | − | 0.216945i | ||||
\(667\) | −2.83330 | + | 2.83330i | −0.109706 | + | 0.109706i | ||||
\(668\) | −2.69854 | + | 0.0330830i | −0.104410 | + | 0.00128002i | ||||
\(669\) | −38.1937 | + | 15.6952i | −1.47665 | + | 0.606812i | ||||
\(670\) | −7.21011 | − | 20.7235i | −0.278551 | − | 0.800617i | ||||
\(671\) | − | 18.9269i | − | 0.730664i | ||||||
\(672\) | −8.07199 | + | 0.224845i | −0.311384 | + | 0.00867359i | ||||
\(673\) | −15.4486 | + | 15.4486i | −0.595498 | + | 0.595498i | −0.939111 | − | 0.343613i | \(-0.888349\pi\) |
0.343613 | + | 0.939111i | \(0.388349\pi\) | |||||||
\(674\) | −1.76824 | − | 4.19597i | −0.0681099 | − | 0.161623i | ||||
\(675\) | 6.58581 | + | 25.1322i | 0.253488 | + | 0.967339i | ||||
\(676\) | −24.0644 | + | 24.6618i | −0.925554 | + | 0.948529i | ||||
\(677\) | −3.86002 | − | 3.86002i | −0.148353 | − | 0.148353i | 0.629029 | − | 0.777382i | \(-0.283453\pi\) |
−0.777382 | + | 0.629029i | \(0.783453\pi\) | |||||||
\(678\) | −0.0990069 | − | 29.7334i | −0.00380234 | − | 1.14190i | ||||
\(679\) | − | 6.31904i | − | 0.242503i | ||||||
\(680\) | −3.34097 | + | 7.12774i | −0.128120 | + | 0.273336i | ||||
\(681\) | 6.73505 | + | 16.3895i | 0.258088 | + | 0.628046i | ||||
\(682\) | −16.0333 | − | 6.52637i | −0.613947 | − | 0.249908i | ||||
\(683\) | 20.9584 | − | 20.9584i | 0.801949 | − | 0.801949i | −0.181451 | − | 0.983400i | \(-0.558079\pi\) |
0.983400 | + | 0.181451i | \(0.0580793\pi\) | |||||||
\(684\) | −0.252898 | − | 37.9743i | −0.00966980 | − | 1.45198i | ||||
\(685\) | 29.4439 | + | 33.4768i | 1.12499 | + | 1.27908i | ||||
\(686\) | −14.3074 | + | 6.02932i | −0.546259 | + | 0.230201i | ||||
\(687\) | −36.7749 | − | 15.3534i | −1.40305 | − | 0.585770i | ||||
\(688\) | −3.19631 | + | 3.35702i | −0.121858 | + | 0.127985i | ||||
\(689\) | 43.6032 | 1.66115 | ||||||||
\(690\) | −15.9757 | − | 0.970566i | −0.608185 | − | 0.0369488i | ||||
\(691\) | − | 26.8902i | − | 1.02295i | −0.859298 | − | 0.511475i | \(-0.829099\pi\) | ||
0.859298 | − | 0.511475i | \(-0.170901\pi\) | |||||||
\(692\) | −5.09759 | + | 0.0624943i | −0.193781 | + | 0.00237568i | ||||
\(693\) | −0.0510309 | + | 9.11363i | −0.00193850 | + | 0.346198i | ||||
\(694\) | −14.4761 | − | 34.3513i | −0.549504 | − | 1.30396i | ||||
\(695\) | −1.31896 | + | 20.5780i | −0.0500309 | + | 0.780569i | ||||
\(696\) | −6.71678 | + | 0.104715i | −0.254599 | + | 0.00396921i | ||||
\(697\) | 0.570399 | + | 0.570399i | 0.0216054 | + | 0.0216054i | ||||
\(698\) | 23.2194 | + | 9.45148i | 0.878869 | + | 0.357744i | ||||
\(699\) | −4.14389 | − | 10.0840i | −0.156736 | − | 0.381412i | ||||
\(700\) | 0.951897 | − | 8.18648i | 0.0359783 | − | 0.309420i | ||||
\(701\) | 35.7956 | 1.35198 | 0.675990 | − | 0.736911i | \(-0.263716\pi\) | ||||
0.675990 | + | 0.736911i | \(0.263716\pi\) | |||||||
\(702\) | −28.6335 | + | 28.5038i | −1.08070 | + | 1.07581i | ||||
\(703\) | −15.4525 | + | 15.4525i | −0.582804 | + | 0.582804i | ||||
\(704\) | −20.0708 | + | 21.6041i | −0.756445 | + | 0.814236i | ||||
\(705\) | 11.0212 | + | 32.6128i | 0.415083 | + | 1.22827i | ||||
\(706\) | −8.21566 | − | 19.4955i | −0.309200 | − | 0.733723i | ||||
\(707\) | −5.73705 | − | 5.73705i | −0.215764 | − | 0.215764i | ||||
\(708\) | −19.5097 | + | 8.29826i | −0.733221 | + | 0.311868i | ||||
\(709\) | 31.6856 | 1.18998 | 0.594988 | − | 0.803735i | \(-0.297157\pi\) | ||||
0.594988 | + | 0.803735i | \(0.297157\pi\) | |||||||
\(710\) | −11.7639 | − | 5.69099i | −0.441491 | − | 0.213579i | ||||
\(711\) | −2.34816 | + | 2.32201i | −0.0880628 | + | 0.0870821i | ||||
\(712\) | −17.3564 | − | 39.8152i | −0.650459 | − | 1.49214i | ||||
\(713\) | 6.86153 | + | 6.86153i | 0.256966 | + | 0.256966i | ||||
\(714\) | −1.78265 | − | 1.77081i | −0.0667138 | − | 0.0662710i | ||||
\(715\) | −34.0277 | + | 29.9284i | −1.27256 | + | 1.11926i | ||||
\(716\) | 33.5456 | − | 34.3784i | 1.25366 | − | 1.28478i | ||||
\(717\) | 6.44887 | + | 2.69238i | 0.240837 | + | 0.100549i | ||||
\(718\) | −32.3883 | − | 13.1837i | −1.20872 | − | 0.492010i | ||||
\(719\) | 47.9558 | 1.78845 | 0.894225 | − | 0.447618i | \(-0.147728\pi\) | ||||
0.894225 | + | 0.447618i | \(0.147728\pi\) | |||||||
\(720\) | −18.0992 | − | 19.8096i | −0.674516 | − | 0.738260i | ||||
\(721\) | −9.65184 | −0.359453 | ||||||||
\(722\) | −27.5837 | − | 11.2280i | −1.02656 | − | 0.417861i | ||||
\(723\) | 18.3189 | + | 7.64809i | 0.681287 | + | 0.284435i | ||||
\(724\) | −30.3392 | + | 31.0923i | −1.12755 | + | 1.15554i | ||||
\(725\) | 0.875297 | − | 6.80002i | 0.0325077 | − | 0.252546i | ||||
\(726\) | 4.49586 | + | 4.46601i | 0.166857 | + | 0.165749i | ||||
\(727\) | 20.8052 | + | 20.8052i | 0.771622 | + | 0.771622i | 0.978390 | − | 0.206768i | \(-0.0662946\pi\) |
−0.206768 | + | 0.978390i | \(0.566295\pi\) | |||||||
\(728\) | 11.7487 | − | 5.12153i | 0.435435 | − | 0.189817i | ||||
\(729\) | −19.4099 | + | 18.7685i | −0.718884 | + | 0.695130i | ||||
\(730\) | −6.90421 | − | 19.8443i | −0.255536 | − | 0.734469i | ||||
\(731\) | −1.44234 | −0.0533468 | ||||||||
\(732\) | −16.3681 | + | 6.96199i | −0.604981 | + | 0.257322i | ||||
\(733\) | −11.3990 | − | 11.3990i | −0.421033 | − | 0.421033i | 0.464526 | − | 0.885559i | \(-0.346225\pi\) |
−0.885559 | + | 0.464526i | \(0.846225\pi\) | |||||||
\(734\) | −7.25237 | − | 17.2096i | −0.267690 | − | 0.635219i | ||||
\(735\) | −21.9409 | − | 10.8571i | −0.809302 | − | 0.400470i | ||||
\(736\) | 15.0708 | − | 6.79077i | 0.555516 | − | 0.250311i | ||||
\(737\) | 18.0852 | − | 18.0852i | 0.666176 | − | 0.666176i | ||||
\(738\) | −2.53981 | + | 1.05360i | −0.0934916 | + | 0.0387836i | ||||
\(739\) | −9.60683 | −0.353393 | −0.176697 | − | 0.984265i | \(-0.556541\pi\) | ||||
−0.176697 | + | 0.984265i | \(0.556541\pi\) | |||||||
\(740\) | −0.798711 | + | 15.4206i | −0.0293612 | + | 0.566871i | ||||
\(741\) | 22.9092 | + | 55.7487i | 0.841591 | + | 2.04798i | ||||
\(742\) | −8.56143 | − | 3.48493i | −0.314300 | − | 0.127936i | ||||
\(743\) | −2.71436 | − | 2.71436i | −0.0995802 | − | 0.0995802i | 0.655562 | − | 0.755142i | \(-0.272432\pi\) |
−0.755142 | + | 0.655562i | \(0.772432\pi\) | |||||||
\(744\) | 0.253593 | + | 16.2663i | 0.00929716 | + | 0.596352i | ||||
\(745\) | −31.2530 | − | 2.00318i | −1.14502 | − | 0.0733907i | ||||
\(746\) | 9.24445 | + | 21.9368i | 0.338463 | + | 0.803163i | ||||
\(747\) | −26.6196 | − | 0.149054i | −0.973958 | − | 0.00545359i | ||||
\(748\) | −9.17508 | + | 0.112483i | −0.335474 | + | 0.00411277i | ||||
\(749\) | 6.81468i | 0.249003i | ||||||||
\(750\) | 22.6536 | − | 15.3888i | 0.827192 | − | 0.561919i | ||||
\(751\) | −18.9690 | −0.692189 | −0.346094 | − | 0.938200i | \(-0.612492\pi\) | ||||
−0.346094 | + | 0.938200i | \(0.612492\pi\) | |||||||
\(752\) | −25.7491 | − | 24.5164i | −0.938972 | − | 0.894022i | ||||
\(753\) | −27.9397 | − | 11.6648i | −1.01818 | − | 0.425087i | ||||
\(754\) | 9.82507 | − | 4.14041i | 0.357808 | − | 0.150785i | ||||
\(755\) | −1.87797 | + | 29.2996i | −0.0683464 | + | 1.06632i | ||||
\(756\) | 7.90028 | − | 3.30819i | 0.287331 | − | 0.120318i | ||||
\(757\) | −0.279592 | + | 0.279592i | −0.0101620 | + | 0.0101620i | −0.712170 | − | 0.702008i | \(-0.752287\pi\) |
0.702008 | + | 0.712170i | \(0.252287\pi\) | |||||||
\(758\) | 3.58037 | + | 1.45739i | 0.130045 | + | 0.0529349i | ||||
\(759\) | −7.09113 | − | 17.2560i | −0.257392 | − | 0.626353i | ||||
\(760\) | −37.6423 | + | 13.6161i | −1.36543 | + | 0.493907i | ||||
\(761\) | − | 20.3237i | − | 0.736733i | −0.929681 | − | 0.368366i | \(-0.879917\pi\) | ||
0.929681 | − | 0.368366i | \(-0.120083\pi\) | |||||||
\(762\) | −0.000168938 | − | 0.0507349i | −6.11999e−6 | − | 0.00183793i | ||||
\(763\) | −6.82036 | − | 6.82036i | −0.246914 | − | 0.246914i | ||||
\(764\) | 18.1355 | − | 18.5857i | 0.656118 | − | 0.672406i | ||||
\(765\) | 0.580710 | − | 8.32919i | 0.0209956 | − | 0.301142i | ||||
\(766\) | 13.6746 | + | 32.4494i | 0.494083 | + | 1.17244i | ||||
\(767\) | 23.7938 | − | 23.7938i | 0.859144 | − | 0.859144i | ||||
\(768\) | 26.0661 | + | 9.41052i | 0.940580 | + | 0.339573i | ||||
\(769\) | − | 25.1716i | − | 0.907711i | −0.891075 | − | 0.453855i | \(-0.850048\pi\) | ||
0.891075 | − | 0.453855i | \(-0.149952\pi\) | |||||||
\(770\) | 9.07329 | − | 3.15678i | 0.326979 | − | 0.113762i | ||||
\(771\) | 15.3448 | − | 6.30577i | 0.552631 | − | 0.227097i | ||||
\(772\) | 26.8293 | − | 0.328916i | 0.965607 | − | 0.0118379i | ||||
\(773\) | −24.0474 | + | 24.0474i | −0.864925 | + | 0.864925i | −0.991905 | − | 0.126980i | \(-0.959472\pi\) |
0.126980 | + | 0.991905i | \(0.459472\pi\) | |||||||
\(774\) | 1.87904 | − | 4.54323i | 0.0675409 | − | 0.163303i | ||||
\(775\) | −16.4679 | − | 2.11974i | −0.591545 | − | 0.0761434i | ||||
\(776\) | −7.92913 | + | 20.1846i | −0.284639 | + | 0.724585i | ||||
\(777\) | −4.54832 | − | 1.89891i | −0.163170 | − | 0.0681231i | ||||
\(778\) | 13.4006 | − | 32.9213i | 0.480436 | − | 1.18029i | ||||
\(779\) | 4.10197i | 0.146968i | ||||||||
\(780\) | 38.3988 | + | 18.4186i | 1.37490 | + | 0.659491i | ||||
\(781\) | − | 15.2327i | − | 0.545070i | ||||||
\(782\) | 4.76400 | + | 1.93919i | 0.170360 | + | 0.0693453i | ||||
\(783\) | 6.60539 | − | 2.67127i | 0.236058 | − | 0.0954634i | ||||
\(784\) | 25.2754 | − | 0.619825i | 0.902693 | − | 0.0221366i | ||||
\(785\) | 13.3022 | + | 15.1242i | 0.474774 | + | 0.539804i | ||||
\(786\) | −9.10593 | − | 9.04548i | −0.324798 | − | 0.322642i | ||||
\(787\) | −6.79695 | + | 6.79695i | −0.242285 | + | 0.242285i | −0.817795 | − | 0.575510i | \(-0.804804\pi\) |
0.575510 | + | 0.817795i | \(0.304804\pi\) | |||||||
\(788\) | −0.445912 | − | 36.3725i | −0.0158850 | − | 1.29572i | ||||
\(789\) | 14.3108 | + | 34.8249i | 0.509479 | + | 1.23980i | ||||
\(790\) | 3.13357 | + | 1.51592i | 0.111488 | + | 0.0539341i | ||||
\(791\) | − | 10.0043i | − | 0.355710i | ||||||
\(792\) | 11.5988 | − | 29.0472i | 0.412145 | − | 1.03215i | ||||
\(793\) | 19.9623 | − | 19.9623i | 0.708881 | − | 0.708881i | ||||
\(794\) | −10.0015 | + | 4.21476i | −0.354939 | + | 0.149576i | ||||
\(795\) | −9.83361 | − | 29.0986i | −0.348762 | − | 1.03202i | ||||
\(796\) | 0.0647578 | − | 0.0663654i | 0.00229528 | − | 0.00235226i | ||||
\(797\) | −6.72322 | − | 6.72322i | −0.238149 | − | 0.238149i | 0.577935 | − | 0.816083i | \(-0.303859\pi\) |
−0.816083 | + | 0.577935i | \(0.803859\pi\) | |||||||
\(798\) | −0.0425457 | − | 12.7772i | −0.00150610 | − | 0.452307i | ||||
\(799\) | − | 11.0630i | − | 0.391382i | ||||||
\(800\) | −13.3130 | + | 24.9552i | −0.470685 | + | 0.882301i | ||||
\(801\) | 32.3924 | + | 32.7572i | 1.14453 | + | 1.15742i | ||||
\(802\) | 2.75030 | − | 6.75665i | 0.0971164 | − | 0.238585i | ||||
\(803\) | 17.3179 | − | 17.3179i | 0.611135 | − | 0.611135i | ||||
\(804\) | −22.2925 | − | 8.98778i | −0.786197 | − | 0.316974i | ||||
\(805\) | −5.37412 | − | 0.344457i | −0.189413 | − | 0.0121405i | ||||
\(806\) | −10.0270 | − | 23.7938i | −0.353187 | − | 0.838101i | ||||
\(807\) | 6.39851 | − | 15.3259i | 0.225238 | − | 0.539496i | ||||
\(808\) | 11.1267 | + | 25.5244i | 0.391437 | + | 0.897946i | ||||
\(809\) | −35.3381 | −1.24242 | −0.621212 | − | 0.783643i | \(-0.713359\pi\) | ||||
−0.621212 | + | 0.783643i | \(0.713359\pi\) | |||||||
\(810\) | 25.4796 | + | 12.6803i | 0.895263 | + | 0.445539i | ||||
\(811\) | − | 37.1596i | − | 1.30485i | −0.757854 | − | 0.652425i | \(-0.773752\pi\) | ||
0.757854 | − | 0.652425i | \(-0.226248\pi\) | |||||||
\(812\) | −2.26006 | + | 0.0277074i | −0.0793125 | + | 0.000972338i | ||||
\(813\) | 33.4179 | + | 13.9519i | 1.17202 | + | 0.489314i | ||||
\(814\) | −16.5863 | + | 6.98967i | −0.581348 | + | 0.244988i | ||||
\(815\) | −8.21613 | + | 7.22634i | −0.287798 | + | 0.253128i | ||||
\(816\) | 3.47220 | + | 7.89328i | 0.121551 | + | 0.276320i | ||||
\(817\) | −5.18621 | − | 5.18621i | −0.181443 | − | 0.181443i | ||||
\(818\) | −7.55184 | + | 18.5526i | −0.264044 | + | 0.648676i | ||||
\(819\) | −9.66601 | + | 9.55836i | −0.337758 | + | 0.333996i | ||||
\(820\) | 1.94073 | + | 2.15275i | 0.0677732 | + | 0.0751774i | ||||
\(821\) | −28.5674 | −0.997010 | −0.498505 | − | 0.866887i | \(-0.666118\pi\) | ||||
−0.498505 | + | 0.866887i | \(0.666118\pi\) | |||||||
\(822\) | 48.8379 | − | 0.162622i | 1.70342 | − | 0.00567208i | ||||
\(823\) | −28.5682 | + | 28.5682i | −0.995823 | + | 0.995823i | −0.999991 | − | 0.00416817i | \(-0.998673\pi\) |
0.00416817 | + | 0.999991i | \(0.498673\pi\) | |||||||
\(824\) | 30.8304 | + | 12.1111i | 1.07403 | + | 0.421911i | ||||
\(825\) | 27.6468 | + | 15.9588i | 0.962539 | + | 0.555614i | ||||
\(826\) | −6.57357 | + | 2.77019i | −0.228724 | + | 0.0963872i | ||||
\(827\) | 5.31276 | + | 5.31276i | 0.184743 | + | 0.184743i | 0.793419 | − | 0.608676i | \(-0.208299\pi\) |
−0.608676 | + | 0.793419i | \(0.708299\pi\) | |||||||
\(828\) | −12.3147 | + | 12.4798i | −0.427966 | + | 0.433704i | ||||
\(829\) | −4.51176 | −0.156700 | −0.0783500 | − | 0.996926i | \(-0.524965\pi\) | ||||
−0.0783500 | + | 0.996926i | \(0.524965\pi\) | |||||||
\(830\) | 9.22048 | + | 26.5017i | 0.320048 | + | 0.919888i | ||||
\(831\) | 20.0813 | − | 8.25214i | 0.696611 | − | 0.286263i | ||||
\(832\) | −43.9547 | + | 1.61725i | −1.52385 | + | 0.0560679i | ||||
\(833\) | 5.56292 | + | 5.56292i | 0.192744 | + | 0.192744i | ||||
\(834\) | 16.0255 | + | 15.9191i | 0.554917 | + | 0.551234i | ||||
\(835\) | −1.99271 | − | 2.26565i | −0.0689605 | − | 0.0784060i | ||||
\(836\) | −33.3953 | − | 32.5864i | −1.15500 | − | 1.12702i | ||||
\(837\) | −6.46913 | − | 15.9966i | −0.223606 | − | 0.552922i | ||||
\(838\) | 2.56199 | − | 6.29404i | 0.0885025 | − | 0.217424i | ||||
\(839\) | −42.7255 | −1.47505 | −0.737523 | − | 0.675322i | \(-0.764005\pi\) | ||||
−0.737523 | + | 0.675322i | \(0.764005\pi\) | |||||||
\(840\) | −6.06748 | − | 6.68545i | −0.209348 | − | 0.230670i | ||||
\(841\) | 27.1197 | 0.935164 | ||||||||
\(842\) | −8.11428 | + | 19.9343i | −0.279637 | + | 0.686983i | ||||
\(843\) | −8.13608 | + | 19.4877i | −0.280221 | + | 0.671193i | ||||
\(844\) | −0.825584 | + | 0.846078i | −0.0284178 | + | 0.0291232i | ||||
\(845\) | −38.4454 | − | 2.46418i | −1.32256 | − | 0.0847702i | ||||
\(846\) | 34.8476 | + | 14.4127i | 1.19808 | + | 0.495519i | ||||
\(847\) | 1.50768 | + | 1.50768i | 0.0518045 | + | 0.0518045i | ||||
\(848\) | 22.9745 | + | 21.8746i | 0.788946 | + | 0.751178i | ||||
\(849\) | 10.8744 | + | 26.4625i | 0.373210 | + | 0.908192i | ||||
\(850\) | −8.48028 | + | 2.35441i | −0.290871 | + | 0.0807556i | ||||
\(851\) | 10.0894 | 0.345861 | ||||||||
\(852\) | −13.1733 | + | 5.60314i | −0.451311 | + | 0.191961i | ||||
\(853\) | −28.1027 | − | 28.1027i | −0.962217 | − | 0.962217i | 0.0370946 | − | 0.999312i | \(-0.488190\pi\) |
−0.999312 | + | 0.0370946i | \(0.988190\pi\) | |||||||
\(854\) | −5.51503 | + | 2.32410i | −0.188720 | + | 0.0795292i | ||||
\(855\) | 32.0373 | − | 27.8612i | 1.09565 | − | 0.952833i | ||||
\(856\) | 8.55106 | − | 21.7678i | 0.292269 | − | 0.744008i | ||||
\(857\) | −35.8406 | + | 35.8406i | −1.22429 | + | 1.22429i | −0.258198 | + | 0.966092i | \(0.583129\pi\) |
−0.966092 | + | 0.258198i | \(0.916871\pi\) | |||||||
\(858\) | 0.165298 | + | 49.6415i | 0.00564317 | + | 1.69473i | ||||
\(859\) | −1.55128 | −0.0529289 | −0.0264645 | − | 0.999650i | \(-0.508425\pi\) | ||||
−0.0264645 | + | 0.999650i | \(0.508425\pi\) | |||||||
\(860\) | −5.17548 | − | 0.268065i | −0.176482 | − | 0.00914094i | ||||
\(861\) | −0.855728 | + | 0.351651i | −0.0291631 | + | 0.0119842i | ||||
\(862\) | 14.8629 | − | 36.5136i | 0.506231 | − | 1.24366i | ||||
\(863\) | −22.7893 | − | 22.7893i | −0.775758 | − | 0.775758i | 0.203348 | − | 0.979107i | \(-0.434818\pi\) |
−0.979107 | + | 0.203348i | \(0.934818\pi\) | |||||||
\(864\) | −29.3866 | + | 0.653913i | −0.999753 | + | 0.0222466i | ||||
\(865\) | −3.76425 | − | 4.27984i | −0.127988 | − | 0.145519i | ||||
\(866\) | 5.12369 | − | 2.15919i | 0.174110 | − | 0.0733723i | ||||
\(867\) | 10.3104 | − | 24.6957i | 0.350160 | − | 0.838712i | ||||
\(868\) | 0.0671001 | + | 5.47328i | 0.00227753 | + | 0.185775i | ||||
\(869\) | 4.05757i | 0.137644i | ||||||||
\(870\) | −4.97891 | − | 5.62300i | −0.168801 | − | 0.190638i | ||||
\(871\) | 38.1490 | 1.29263 | ||||||||
\(872\) | 13.2278 | + | 30.3441i | 0.447948 | + | 1.02758i | ||||
\(873\) | 0.128793 | − | 23.0013i | 0.00435900 | − | 0.778476i | ||||
\(874\) | 10.1572 | + | 24.1027i | 0.343572 | + | 0.815285i | ||||
\(875\) | 7.63931 | − | 5.15236i | 0.258256 | − | 0.174182i | ||||
\(876\) | −21.3468 | − | 8.60646i | −0.721240 | − | 0.290785i | ||||
\(877\) | 22.8089 | − | 22.8089i | 0.770202 | − | 0.770202i | −0.207940 | − | 0.978142i | \(-0.566676\pi\) |
0.978142 | + | 0.207940i | \(0.0666758\pi\) | |||||||
\(878\) | −5.76759 | + | 14.1692i | −0.194647 | + | 0.478188i | ||||
\(879\) | −11.7005 | + | 4.80819i | −0.394649 | + | 0.162176i | ||||
\(880\) | −32.9435 | − | 1.30161i | −1.11052 | − | 0.0438774i | ||||
\(881\) | − | 1.47551i | − | 0.0497114i | −0.999691 | − | 0.0248557i | \(-0.992087\pi\) | ||
0.999691 | − | 0.0248557i | \(-0.00791262\pi\) | |||||||
\(882\) | −24.7699 | + | 10.2754i | −0.834047 | + | 0.345992i | ||||
\(883\) | −3.02812 | − | 3.02812i | −0.101904 | − | 0.101904i | 0.654316 | − | 0.756221i | \(-0.272956\pi\) |
−0.756221 | + | 0.654316i | \(0.772956\pi\) | |||||||
\(884\) | −9.79563 | − | 9.55836i | −0.329463 | − | 0.321482i | ||||
\(885\) | −21.2449 | − | 10.5127i | −0.714140 | − | 0.353381i | ||||
\(886\) | 10.5968 | − | 4.46561i | 0.356005 | − | 0.150025i | ||||
\(887\) | −19.9170 | + | 19.9170i | −0.668749 | + | 0.668749i | −0.957426 | − | 0.288678i | \(-0.906784\pi\) |
0.288678 | + | 0.957426i | \(0.406784\pi\) | |||||||
\(888\) | 12.1457 | + | 11.7728i | 0.407584 | + | 0.395070i | ||||
\(889\) | − | 0.0170705i | − | 0.000572528i | ||||||
\(890\) | 21.1474 | − | 43.7139i | 0.708861 | − | 1.46529i | ||||
\(891\) | −0.371504 | + | 33.1725i | −0.0124459 | + | 1.11132i | ||||
\(892\) | 47.6773 | − | 0.584504i | 1.59635 | − | 0.0195706i | ||||
\(893\) | 39.7794 | − | 39.7794i | 1.33117 | − | 1.33117i | ||||
\(894\) | −24.1772 | + | 24.3388i | −0.808608 | + | 0.814011i | ||||
\(895\) | 53.5927 | + | 3.43505i | 1.79141 | + | 0.114821i | ||||
\(896\) | 8.75970 | + | 3.19548i | 0.292641 | + | 0.106754i | ||||
\(897\) | 10.7209 | − | 25.6790i | 0.357961 | − | 0.857398i | ||||
\(898\) | 9.05349 | + | 3.68523i | 0.302119 | + | 0.122978i | ||||
\(899\) | 4.55350i | 0.151868i | ||||||||
\(900\) | 3.63176 | − | 29.7794i | 0.121059 | − | 0.992645i | ||||
\(901\) | 9.87094i | 0.328849i | ||||||||
\(902\) | −1.27374 | + | 3.12918i | −0.0424108 | + | 0.104190i | ||||
\(903\) | 0.637317 | − | 1.52652i | 0.0212086 | − | 0.0507993i | ||||
\(904\) | −12.5533 | + | 31.9561i | −0.417518 | + | 1.06284i | ||||
\(905\) | −48.4701 | − | 3.10671i | −1.61120 | − | 0.103271i | ||||
\(906\) | 22.8176 | + | 22.6661i | 0.758063 | + | 0.753031i | ||||
\(907\) | 6.11318 | − | 6.11318i | 0.202985 | − | 0.202985i | −0.598293 | − | 0.801278i | \(-0.704154\pi\) |
0.801278 | + | 0.598293i | \(0.204154\pi\) | |||||||
\(908\) | −0.250819 | − | 20.4590i | −0.00832372 | − | 0.678956i | ||||
\(909\) | −20.7659 | − | 20.9998i | −0.688762 | − | 0.696518i | ||||
\(910\) | 12.8991 | + | 6.24017i | 0.427601 | + | 0.206860i | ||||
\(911\) | 28.1492i | 0.932625i | 0.884620 | + | 0.466313i | \(0.154418\pi\) | ||||
−0.884620 | + | 0.466313i | \(0.845582\pi\) | |||||||
\(912\) | −15.8969 | + | 40.8669i | −0.526398 | + | 1.35324i | ||||
\(913\) | −23.1278 | + | 23.1278i | −0.765419 | + | 0.765419i | ||||
\(914\) | 4.00570 | + | 9.50541i | 0.132497 | + | 0.314411i | ||||
\(915\) | −17.8238 | − | 8.81984i | −0.589238 | − | 0.291575i | ||||
\(916\) | 32.9349 | + | 32.1371i | 1.08820 | + | 1.06184i | ||||
\(917\) | −3.05366 | − | 3.05366i | −0.100841 | − | 0.100841i | ||||
\(918\) | −6.45273 | − | 6.48208i | −0.212972 | − | 0.213941i | ||||
\(919\) | 49.4285i | 1.63049i | 0.579113 | + | 0.815247i | \(0.303399\pi\) | ||||
−0.579113 | + | 0.815247i | \(0.696601\pi\) | |||||||
\(920\) | 16.7341 | + | 7.84373i | 0.551706 | + | 0.258600i | ||||
\(921\) | −20.8400 | + | 8.56393i | −0.686701 | + | 0.282191i | ||||
\(922\) | 24.1740 | + | 9.84005i | 0.796129 | + | 0.324065i | ||||
\(923\) | 16.0660 | − | 16.0660i | 0.528819 | − | 0.528819i | ||||
\(924\) | 3.93509 | − | 9.76027i | 0.129455 | − | 0.321089i | ||||
\(925\) | −13.6660 | + | 10.5490i | −0.449334 | + | 0.346849i | ||||
\(926\) | 36.2892 | − | 15.2927i | 1.19254 | − | 0.502550i | ||||
\(927\) | −35.1327 | − | 0.196722i | −1.15391 | − | 0.00646120i | ||||
\(928\) | 7.25396 | + | 2.74741i | 0.238123 | + | 0.0901883i | ||||
\(929\) | 38.9204 | 1.27694 | 0.638468 | − | 0.769649i | \(-0.279569\pi\) | ||||
0.638468 | + | 0.769649i | \(0.279569\pi\) | |||||||
\(930\) | −13.6175 | + | 12.0576i | −0.446534 | + | 0.395386i | ||||
\(931\) | 40.0052i | 1.31112i | ||||||||
\(932\) | 0.154322 | + | 12.5879i | 0.00505499 | + | 0.412329i | ||||
\(933\) | 20.3988 | − | 48.8598i | 0.667828 | − | 1.59960i | ||||
\(934\) | 1.61507 | + | 3.83251i | 0.0528466 | + | 0.125403i | ||||
\(935\) | −6.77522 | − | 7.70323i | −0.221574 | − | 0.251922i | ||||
\(936\) | 42.8695 | − | 18.4029i | 1.40123 | − | 0.601518i | ||||
\(937\) | −4.49303 | − | 4.49303i | −0.146781 | − | 0.146781i | 0.629897 | − | 0.776678i | \(-0.283097\pi\) |
−0.776678 | + | 0.629897i | \(0.783097\pi\) | |||||||
\(938\) | −7.49052 | − | 3.04902i | −0.244574 | − | 0.0995540i | ||||
\(939\) | 37.2952 | − | 15.3260i | 1.21708 | − | 0.500145i | ||||
\(940\) | 2.05612 | − | 39.6971i | 0.0670632 | − | 1.29478i | ||||
\(941\) | 23.2736 | 0.758696 | 0.379348 | − | 0.925254i | \(-0.376148\pi\) | ||||
0.379348 | + | 0.925254i | \(0.376148\pi\) | |||||||
\(942\) | 22.0640 | − | 0.0734692i | 0.718884 | − | 0.00239376i | ||||
\(943\) | 1.33915 | − | 1.33915i | 0.0436087 | − | 0.0436087i | ||||
\(944\) | 24.4737 | − | 0.600164i | 0.796550 | − | 0.0195337i | ||||
\(945\) | 8.55871 | + | 4.29497i | 0.278415 | + | 0.139715i | ||||
\(946\) | −2.34589 | − | 5.56671i | −0.0762713 | − | 0.180989i | ||||
\(947\) | −28.1797 | − | 28.1797i | −0.915717 | − | 0.915717i | 0.0809978 | − | 0.996714i | \(-0.474189\pi\) |
−0.996714 | + | 0.0809978i | \(0.974189\pi\) | |||||||
\(948\) | 3.50901 | − | 1.49252i | 0.113967 | − | 0.0484748i | ||||
\(949\) | 36.5305 | 1.18583 | ||||||||
\(950\) | −38.9583 | − | 22.0268i | −1.26397 | − | 0.714644i | ||||
\(951\) | −0.000574173 | − | 0.00139723i | −1.86188e−5 | − | 4.53082e-5i | ||||
\(952\) | 1.15942 | + | 2.65968i | 0.0375770 | + | 0.0862006i | ||||
\(953\) | −28.5653 | − | 28.5653i | −0.925321 | − | 0.925321i | 0.0720776 | − | 0.997399i | \(-0.477037\pi\) |
−0.997399 | + | 0.0720776i | \(0.977037\pi\) | |||||||
\(954\) | −31.0925 | − | 12.8596i | −1.00666 | − | 0.416346i | ||||
\(955\) | 28.9733 | + | 1.85706i | 0.937555 | + | 0.0600930i | ||||
\(956\) | −5.77547 | − | 5.63557i | −0.186792 | − | 0.182267i | ||||
\(957\) | 3.37284 | − | 8.07871i | 0.109028 | − | 0.261148i | ||||
\(958\) | 25.8157 | + | 10.5083i | 0.834066 | + | 0.339507i | ||||
\(959\) | 16.4323 | 0.530625 | ||||||||
\(960\) | 10.9922 | + | 28.9685i | 0.354770 | + | 0.934953i | ||||
\(961\) | −19.9726 | −0.644277 | ||||||||
\(962\) | −24.8656 | − | 10.1216i | −0.801700 | − | 0.326332i | ||||
\(963\) | −0.138895 | + | 24.8054i | −0.00447584 | + | 0.799343i | ||||
\(964\) | −16.4060 | − | 16.0086i | −0.528402 | − | 0.515603i | ||||
\(965\) | 19.8118 | + | 22.5254i | 0.637763 | + | 0.725118i | ||||
\(966\) | −4.15741 | + | 4.18519i | −0.133762 | + | 0.134656i | ||||
\(967\) | −37.0606 | − | 37.0606i | −1.19179 | − | 1.19179i | −0.976565 | − | 0.215225i | \(-0.930952\pi\) |
−0.215225 | − | 0.976565i | \(-0.569048\pi\) | |||||||
\(968\) | −2.92407 | − | 6.70774i | −0.0939832 | − | 0.215595i | ||||
\(969\) | −12.6204 | + | 5.18621i | −0.405427 | + | 0.166605i | ||||
\(970\) | −22.8995 | + | 7.96719i | −0.735258 | + | 0.255811i | ||||
\(971\) | −11.8114 | −0.379044 | −0.189522 | − | 0.981876i | \(-0.560694\pi\) | ||||
−0.189522 | + | 0.981876i | \(0.560694\pi\) | |||||||
\(972\) | 28.8244 | − | 11.8808i | 0.924544 | − | 0.381076i | ||||
\(973\) | 5.37412 | + | 5.37412i | 0.172287 | + | 0.172287i | ||||
\(974\) | −3.27288 | − | 7.76644i | −0.104870 | − | 0.248853i | ||||
\(975\) | 12.3274 | + | 45.9911i | 0.394793 | + | 1.47289i | ||||
\(976\) | 20.5327 | − | 0.503519i | 0.657234 | − | 0.0161173i | ||||
\(977\) | 5.34002 | − | 5.34002i | 0.170842 | − | 0.170842i | −0.616507 | − | 0.787349i | \(-0.711453\pi\) |
0.787349 | + | 0.616507i | \(0.211453\pi\) | |||||||
\(978\) | 0.0399118 | + | 11.9862i | 0.00127624 | + | 0.383275i | ||||
\(979\) | 56.6038 | 1.80907 | ||||||||
\(980\) | 18.9273 | + | 20.9951i | 0.604611 | + | 0.670664i | ||||
\(981\) | −24.6871 | − | 24.9651i | −0.788197 | − | 0.797074i | ||||
\(982\) | −36.3111 | − | 14.7805i | −1.15874 | − | 0.471664i | ||||
\(983\) | 42.6490 | + | 42.6490i | 1.36029 | + | 1.36029i | 0.873540 | + | 0.486753i | \(0.161819\pi\) |
0.486753 | + | 0.873540i | \(0.338181\pi\) | |||||||
\(984\) | 3.17466 | − | 0.0494931i | 0.101205 | − | 0.00157778i | ||||
\(985\) | 30.5377 | − | 26.8589i | 0.973013 | − | 0.855795i | ||||
\(986\) | 0.937311 | + | 2.22421i | 0.0298501 | + | 0.0708333i | ||||
\(987\) | 11.7087 | + | 4.88836i | 0.372693 | + | 0.155598i | ||||
\(988\) | −0.853159 | − | 69.5912i | −0.0271426 | − | 2.21399i | ||||
\(989\) | 3.38623i | 0.107676i | ||||||||
\(990\) | 33.0911 | − | 11.3057i | 1.05170 | − | 0.359320i | ||||
\(991\) | −31.5197 | −1.00126 | −0.500629 | − | 0.865662i | \(-0.666898\pi\) | ||||
−0.500629 | + | 0.865662i | \(0.666898\pi\) | |||||||
\(992\) | 6.65353 | − | 17.5672i | 0.211250 | − | 0.557760i | ||||
\(993\) | 5.52938 | − | 13.2441i | 0.175469 | − | 0.420289i | ||||
\(994\) | −4.43860 | + | 1.87048i | −0.140784 | + | 0.0593282i | ||||
\(995\) | 0.103457 | + | 0.00663115i | 0.00327982 | + | 0.000210222i | ||||
\(996\) | 28.5083 | + | 11.4938i | 0.903320 | + | 0.364195i | ||||
\(997\) | −38.3474 | + | 38.3474i | −1.21447 | + | 1.21447i | −0.244935 | + | 0.969540i | \(0.578767\pi\) |
−0.969540 | + | 0.244935i | \(0.921233\pi\) | |||||||
\(998\) | 6.74190 | + | 2.74429i | 0.213411 | + | 0.0868690i | ||||
\(999\) | −16.5172 | − | 7.00473i | −0.522580 | − | 0.221620i |
(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 | 120.2.w.c.77.3 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.77.14 | yes | 32 | |
4.3 | odd | 2 | 480.2.bi.c.17.14 | 32 | |||
5.2 | odd | 4 | 600.2.w.j.293.11 | 32 | |||
5.3 | odd | 4 | inner | 120.2.w.c.53.6 | yes | 32 | |
5.4 | even | 2 | 600.2.w.j.557.14 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.17.3 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.77.11 | yes | 32 | |
12.11 | even | 2 | 480.2.bi.c.17.11 | 32 | |||
15.2 | even | 4 | 600.2.w.j.293.6 | 32 | |||
15.8 | even | 4 | inner | 120.2.w.c.53.11 | yes | 32 | |
15.14 | odd | 2 | 600.2.w.j.557.3 | 32 | |||
20.3 | even | 4 | 480.2.bi.c.113.6 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.77.6 | yes | 32 | |
24.11 | even | 2 | 480.2.bi.c.17.6 | 32 | |||
40.3 | even | 4 | 480.2.bi.c.113.11 | 32 | |||
40.13 | odd | 4 | inner | 120.2.w.c.53.14 | yes | 32 | |
40.29 | even | 2 | 600.2.w.j.557.6 | 32 | |||
40.37 | odd | 4 | 600.2.w.j.293.3 | 32 | |||
60.23 | odd | 4 | 480.2.bi.c.113.3 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.557.11 | 32 | |||
120.53 | even | 4 | inner | 120.2.w.c.53.3 | ✓ | 32 | |
120.77 | even | 4 | 600.2.w.j.293.14 | 32 | |||
120.83 | odd | 4 | 480.2.bi.c.113.14 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.3 | ✓ | 32 | 120.53 | even | 4 | inner | |
120.2.w.c.53.6 | yes | 32 | 5.3 | odd | 4 | inner | |
120.2.w.c.53.11 | yes | 32 | 15.8 | even | 4 | inner | |
120.2.w.c.53.14 | yes | 32 | 40.13 | odd | 4 | inner | |
120.2.w.c.77.3 | yes | 32 | 1.1 | even | 1 | trivial | |
120.2.w.c.77.6 | yes | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.77.11 | yes | 32 | 8.5 | even | 2 | inner | |
120.2.w.c.77.14 | yes | 32 | 3.2 | odd | 2 | inner | |
480.2.bi.c.17.3 | 32 | 8.3 | odd | 2 | |||
480.2.bi.c.17.6 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.17.11 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.17.14 | 32 | 4.3 | odd | 2 | |||
480.2.bi.c.113.3 | 32 | 60.23 | odd | 4 | |||
480.2.bi.c.113.6 | 32 | 20.3 | even | 4 | |||
480.2.bi.c.113.11 | 32 | 40.3 | even | 4 | |||
480.2.bi.c.113.14 | 32 | 120.83 | odd | 4 | |||
600.2.w.j.293.3 | 32 | 40.37 | odd | 4 | |||
600.2.w.j.293.6 | 32 | 15.2 | even | 4 | |||
600.2.w.j.293.11 | 32 | 5.2 | odd | 4 | |||
600.2.w.j.293.14 | 32 | 120.77 | even | 4 | |||
600.2.w.j.557.3 | 32 | 15.14 | odd | 2 | |||
600.2.w.j.557.6 | 32 | 40.29 | even | 2 | |||
600.2.w.j.557.11 | 32 | 120.29 | odd | 2 | |||
600.2.w.j.557.14 | 32 | 5.4 | even | 2 |