Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 273.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.273 |
Dual form | 370.2.q.b.267.1 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 2.36603 | + | 0.633975i | 1.36603 | + | 0.366025i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2.23205 | − | 0.133975i | 0.998203 | − | 0.0599153i | ||||
\(6\) | −1.73205 | + | 1.73205i | −0.707107 | + | 0.707107i | ||||
\(7\) | −1.36603 | − | 0.366025i | −0.516309 | − | 0.138345i | −0.00875026 | − | 0.999962i | \(-0.502785\pi\) |
−0.507559 | + | 0.861617i | \(0.669452\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.59808 | + | 1.50000i | 0.866025 | + | 0.500000i | ||||
\(10\) | −1.00000 | + | 2.00000i | −0.316228 | + | 0.632456i | ||||
\(11\) | − | 0.464102i | − | 0.139932i | −0.997549 | − | 0.0699660i | \(-0.977711\pi\) | ||
0.997549 | − | 0.0699660i | \(-0.0222891\pi\) | |||||||
\(12\) | −0.633975 | − | 2.36603i | −0.183013 | − | 0.683013i | ||||
\(13\) | 1.86603 | + | 3.23205i | 0.517542 | + | 0.896410i | 0.999792 | + | 0.0203760i | \(0.00648633\pi\) |
−0.482250 | + | 0.876034i | \(0.660180\pi\) | |||||||
\(14\) | 1.00000 | − | 1.00000i | 0.267261 | − | 0.267261i | ||||
\(15\) | 5.36603 | + | 1.09808i | 1.38550 | + | 0.283522i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.633975 | − | 0.366025i | −0.153761 | − | 0.0887742i | 0.421145 | − | 0.906993i | \(-0.361628\pi\) |
−0.574907 | + | 0.818219i | \(0.694962\pi\) | |||||||
\(18\) | −2.59808 | + | 1.50000i | −0.612372 | + | 0.353553i | ||||
\(19\) | 0.133975 | − | 0.500000i | 0.0307359 | − | 0.114708i | −0.948854 | − | 0.315716i | \(-0.897755\pi\) |
0.979590 | + | 0.201008i | \(0.0644219\pi\) | |||||||
\(20\) | −1.23205 | − | 1.86603i | −0.275495 | − | 0.417256i | ||||
\(21\) | −3.00000 | − | 1.73205i | −0.654654 | − | 0.377964i | ||||
\(22\) | 0.401924 | + | 0.232051i | 0.0856904 | + | 0.0494734i | ||||
\(23\) | −0.267949 | −0.0558713 | −0.0279356 | − | 0.999610i | \(-0.508893\pi\) | ||||
−0.0279356 | + | 0.999610i | \(0.508893\pi\) | |||||||
\(24\) | 2.36603 | + | 0.633975i | 0.482963 | + | 0.129410i | ||||
\(25\) | 4.96410 | − | 0.598076i | 0.992820 | − | 0.119615i | ||||
\(26\) | −3.73205 | −0.731915 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.366025 | + | 1.36603i | 0.0691723 | + | 0.258155i | ||||
\(29\) | 1.46410 | − | 1.46410i | 0.271877 | − | 0.271877i | −0.557979 | − | 0.829855i | \(-0.688423\pi\) |
0.829855 | + | 0.557979i | \(0.188423\pi\) | |||||||
\(30\) | −3.63397 | + | 4.09808i | −0.663470 | + | 0.748203i | ||||
\(31\) | −6.19615 | − | 6.19615i | −1.11286 | − | 1.11286i | −0.992762 | − | 0.120100i | \(-0.961678\pi\) |
−0.120100 | − | 0.992762i | \(-0.538322\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.294229 | − | 1.09808i | 0.0512186 | − | 0.191151i | ||||
\(34\) | 0.633975 | − | 0.366025i | 0.108726 | − | 0.0627728i | ||||
\(35\) | −3.09808 | − | 0.633975i | −0.523670 | − | 0.107161i | ||||
\(36\) | − | 3.00000i | − | 0.500000i | ||||||
\(37\) | 0.500000 | + | 6.06218i | 0.0821995 | + | 0.996616i | ||||
\(38\) | 0.366025 | + | 0.366025i | 0.0593772 | + | 0.0593772i | ||||
\(39\) | 2.36603 | + | 8.83013i | 0.378867 | + | 1.41395i | ||||
\(40\) | 2.23205 | − | 0.133975i | 0.352918 | − | 0.0211832i | ||||
\(41\) | −8.19615 | + | 4.73205i | −1.28002 | + | 0.739022i | −0.976853 | − | 0.213914i | \(-0.931379\pi\) |
−0.303171 | + | 0.952936i | \(0.598045\pi\) | |||||||
\(42\) | 3.00000 | − | 1.73205i | 0.462910 | − | 0.267261i | ||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | −0.401924 | + | 0.232051i | −0.0605923 | + | 0.0349830i | ||||
\(45\) | 6.00000 | + | 3.00000i | 0.894427 | + | 0.447214i | ||||
\(46\) | 0.133975 | − | 0.232051i | 0.0197535 | − | 0.0342140i | ||||
\(47\) | 2.09808 | − | 2.09808i | 0.306036 | − | 0.306036i | −0.537334 | − | 0.843370i | \(-0.680568\pi\) |
0.843370 | + | 0.537334i | \(0.180568\pi\) | |||||||
\(48\) | −1.73205 | + | 1.73205i | −0.250000 | + | 0.250000i | ||||
\(49\) | −4.33013 | − | 2.50000i | −0.618590 | − | 0.357143i | ||||
\(50\) | −1.96410 | + | 4.59808i | −0.277766 | + | 0.650266i | ||||
\(51\) | −1.26795 | − | 1.26795i | −0.177548 | − | 0.177548i | ||||
\(52\) | 1.86603 | − | 3.23205i | 0.258771 | − | 0.448205i | ||||
\(53\) | −8.56218 | + | 2.29423i | −1.17611 | + | 0.315137i | −0.793381 | − | 0.608726i | \(-0.791681\pi\) |
−0.382725 | + | 0.923862i | \(0.625014\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0621778 | − | 1.03590i | −0.00838406 | − | 0.139681i | ||||
\(56\) | −1.36603 | − | 0.366025i | −0.182543 | − | 0.0489122i | ||||
\(57\) | 0.633975 | − | 1.09808i | 0.0839720 | − | 0.145444i | ||||
\(58\) | 0.535898 | + | 2.00000i | 0.0703669 | + | 0.262613i | ||||
\(59\) | −4.59808 | + | 1.23205i | −0.598619 | + | 0.160399i | −0.545389 | − | 0.838183i | \(-0.683618\pi\) |
−0.0532294 | + | 0.998582i | \(0.516951\pi\) | |||||||
\(60\) | −1.73205 | − | 5.19615i | −0.223607 | − | 0.670820i | ||||
\(61\) | −0.562178 | + | 2.09808i | −0.0719795 | + | 0.268631i | −0.992531 | − | 0.121989i | \(-0.961073\pi\) |
0.920552 | + | 0.390620i | \(0.127739\pi\) | |||||||
\(62\) | 8.46410 | − | 2.26795i | 1.07494 | − | 0.288030i | ||||
\(63\) | −3.00000 | − | 3.00000i | −0.377964 | − | 0.377964i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.59808 | + | 6.96410i | 0.570321 | + | 0.863790i | ||||
\(66\) | 0.803848 | + | 0.803848i | 0.0989468 | + | 0.0989468i | ||||
\(67\) | 2.83013 | − | 10.5622i | 0.345755 | − | 1.29038i | −0.545973 | − | 0.837803i | \(-0.683840\pi\) |
0.891728 | − | 0.452572i | \(-0.149494\pi\) | |||||||
\(68\) | 0.732051i | 0.0887742i | ||||||||
\(69\) | −0.633975 | − | 0.169873i | −0.0763216 | − | 0.0204503i | ||||
\(70\) | 2.09808 | − | 2.36603i | 0.250768 | − | 0.282794i | ||||
\(71\) | 3.00000 | + | 5.19615i | 0.356034 | + | 0.616670i | 0.987294 | − | 0.158901i | \(-0.0507952\pi\) |
−0.631260 | + | 0.775571i | \(0.717462\pi\) | |||||||
\(72\) | 2.59808 | + | 1.50000i | 0.306186 | + | 0.176777i | ||||
\(73\) | 5.92820 | − | 5.92820i | 0.693844 | − | 0.693844i | −0.269232 | − | 0.963075i | \(-0.586770\pi\) |
0.963075 | + | 0.269232i | \(0.0867697\pi\) | |||||||
\(74\) | −5.50000 | − | 2.59808i | −0.639362 | − | 0.302020i | ||||
\(75\) | 12.1244 | + | 1.73205i | 1.40000 | + | 0.200000i | ||||
\(76\) | −0.500000 | + | 0.133975i | −0.0573539 | + | 0.0153679i | ||||
\(77\) | −0.169873 | + | 0.633975i | −0.0193588 | + | 0.0722481i | ||||
\(78\) | −8.83013 | − | 2.36603i | −0.999815 | − | 0.267900i | ||||
\(79\) | −0.928203 | + | 3.46410i | −0.104431 | + | 0.389742i | −0.998280 | − | 0.0586263i | \(-0.981328\pi\) |
0.893849 | + | 0.448368i | \(0.147995\pi\) | |||||||
\(80\) | −1.00000 | + | 2.00000i | −0.111803 | + | 0.223607i | ||||
\(81\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(82\) | − | 9.46410i | − | 1.04514i | ||||||
\(83\) | −5.46410 | + | 1.46410i | −0.599763 | + | 0.160706i | −0.545911 | − | 0.837843i | \(-0.683816\pi\) |
−0.0538517 | + | 0.998549i | \(0.517150\pi\) | |||||||
\(84\) | 3.46410i | 0.377964i | ||||||||
\(85\) | −1.46410 | − | 0.732051i | −0.158804 | − | 0.0794021i | ||||
\(86\) | −2.00000 | + | 3.46410i | −0.215666 | + | 0.373544i | ||||
\(87\) | 4.39230 | − | 2.53590i | 0.470905 | − | 0.271877i | ||||
\(88\) | − | 0.464102i | − | 0.0494734i | ||||||
\(89\) | −3.79423 | − | 14.1603i | −0.402187 | − | 1.50098i | −0.809185 | − | 0.587555i | \(-0.800091\pi\) |
0.406997 | − | 0.913429i | \(-0.366576\pi\) | |||||||
\(90\) | −5.59808 | + | 3.69615i | −0.590089 | + | 0.389609i | ||||
\(91\) | −1.36603 | − | 5.09808i | −0.143198 | − | 0.534424i | ||||
\(92\) | 0.133975 | + | 0.232051i | 0.0139678 | + | 0.0241930i | ||||
\(93\) | −10.7321 | − | 18.5885i | −1.11286 | − | 1.92753i | ||||
\(94\) | 0.767949 | + | 2.86603i | 0.0792079 | + | 0.295608i | ||||
\(95\) | 0.232051 | − | 1.13397i | 0.0238079 | − | 0.116343i | ||||
\(96\) | −0.633975 | − | 2.36603i | −0.0647048 | − | 0.241481i | ||||
\(97\) | − | 9.46410i | − | 0.960934i | −0.877013 | − | 0.480467i | \(-0.840467\pi\) | ||
0.877013 | − | 0.480467i | \(-0.159533\pi\) | |||||||
\(98\) | 4.33013 | − | 2.50000i | 0.437409 | − | 0.252538i | ||||
\(99\) | 0.696152 | − | 1.20577i | 0.0699660 | − | 0.121185i | ||||
\(100\) | −3.00000 | − | 4.00000i | −0.300000 | − | 0.400000i | ||||
\(101\) | 12.3923i | 1.23308i | 0.787323 | + | 0.616540i | \(0.211466\pi\) | ||||
−0.787323 | + | 0.616540i | \(0.788534\pi\) | |||||||
\(102\) | 1.73205 | − | 0.464102i | 0.171499 | − | 0.0459529i | ||||
\(103\) | − | 17.3923i | − | 1.71371i | −0.515554 | − | 0.856857i | \(-0.672414\pi\) | ||
0.515554 | − | 0.856857i | \(-0.327586\pi\) | |||||||
\(104\) | 1.86603 | + | 3.23205i | 0.182979 | + | 0.316929i | ||||
\(105\) | −6.92820 | − | 3.46410i | −0.676123 | − | 0.338062i | ||||
\(106\) | 2.29423 | − | 8.56218i | 0.222835 | − | 0.831632i | ||||
\(107\) | 10.1962 | + | 2.73205i | 0.985699 | + | 0.264117i | 0.715443 | − | 0.698671i | \(-0.246225\pi\) |
0.270256 | + | 0.962788i | \(0.412892\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.83013 | + | 1.56218i | −0.558425 | + | 0.149629i | −0.526983 | − | 0.849876i | \(-0.676677\pi\) |
−0.0314423 | + | 0.999506i | \(0.510010\pi\) | |||||||
\(110\) | 0.928203 | + | 0.464102i | 0.0885007 | + | 0.0442504i | ||||
\(111\) | −2.66025 | + | 14.6603i | −0.252500 | + | 1.39149i | ||||
\(112\) | 1.00000 | − | 1.00000i | 0.0944911 | − | 0.0944911i | ||||
\(113\) | 5.36603 | + | 3.09808i | 0.504793 | + | 0.291442i | 0.730691 | − | 0.682709i | \(-0.239198\pi\) |
−0.225898 | + | 0.974151i | \(0.572531\pi\) | |||||||
\(114\) | 0.633975 | + | 1.09808i | 0.0593772 | + | 0.102844i | ||||
\(115\) | −0.598076 | + | 0.0358984i | −0.0557709 | + | 0.00334754i | ||||
\(116\) | −2.00000 | − | 0.535898i | −0.185695 | − | 0.0497569i | ||||
\(117\) | 11.1962i | 1.03508i | ||||||||
\(118\) | 1.23205 | − | 4.59808i | 0.113419 | − | 0.423287i | ||||
\(119\) | 0.732051 | + | 0.732051i | 0.0671070 | + | 0.0671070i | ||||
\(120\) | 5.36603 | + | 1.09808i | 0.489849 | + | 0.100240i | ||||
\(121\) | 10.7846 | 0.980419 | ||||||||
\(122\) | −1.53590 | − | 1.53590i | −0.139054 | − | 0.139054i | ||||
\(123\) | −22.3923 | + | 6.00000i | −2.01905 | + | 0.541002i | ||||
\(124\) | −2.26795 | + | 8.46410i | −0.203668 | + | 0.760099i | ||||
\(125\) | 11.0000 | − | 2.00000i | 0.983870 | − | 0.178885i | ||||
\(126\) | 4.09808 | − | 1.09808i | 0.365086 | − | 0.0978244i | ||||
\(127\) | −4.13397 | − | 15.4282i | −0.366831 | − | 1.36903i | −0.864922 | − | 0.501907i | \(-0.832632\pi\) |
0.498091 | − | 0.867125i | \(-0.334035\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 9.46410 | + | 2.53590i | 0.833268 | + | 0.223273i | ||||
\(130\) | −8.33013 | + | 0.500000i | −0.730600 | + | 0.0438529i | ||||
\(131\) | −5.36603 | + | 1.43782i | −0.468832 | + | 0.125623i | −0.485498 | − | 0.874238i | \(-0.661362\pi\) |
0.0166658 | + | 0.999861i | \(0.494695\pi\) | |||||||
\(132\) | −1.09808 | + | 0.294229i | −0.0955753 | + | 0.0256093i | ||||
\(133\) | −0.366025 | + | 0.633975i | −0.0317384 | + | 0.0549726i | ||||
\(134\) | 7.73205 | + | 7.73205i | 0.667947 | + | 0.667947i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.633975 | − | 0.366025i | −0.0543629 | − | 0.0313864i | ||||
\(137\) | −6.19615 | + | 6.19615i | −0.529373 | + | 0.529373i | −0.920385 | − | 0.391012i | \(-0.872125\pi\) |
0.391012 | + | 0.920385i | \(0.372125\pi\) | |||||||
\(138\) | 0.464102 | − | 0.464102i | 0.0395070 | − | 0.0395070i | ||||
\(139\) | −4.13397 | + | 7.16025i | −0.350639 | + | 0.607325i | −0.986362 | − | 0.164593i | \(-0.947369\pi\) |
0.635722 | + | 0.771918i | \(0.280702\pi\) | |||||||
\(140\) | 1.00000 | + | 3.00000i | 0.0845154 | + | 0.253546i | ||||
\(141\) | 6.29423 | − | 3.63397i | 0.530070 | − | 0.306036i | ||||
\(142\) | −6.00000 | −0.503509 | ||||||||
\(143\) | 1.50000 | − | 0.866025i | 0.125436 | − | 0.0724207i | ||||
\(144\) | −2.59808 | + | 1.50000i | −0.216506 | + | 0.125000i | ||||
\(145\) | 3.07180 | − | 3.46410i | 0.255099 | − | 0.287678i | ||||
\(146\) | 2.16987 | + | 8.09808i | 0.179580 | + | 0.670202i | ||||
\(147\) | −8.66025 | − | 8.66025i | −0.714286 | − | 0.714286i | ||||
\(148\) | 5.00000 | − | 3.46410i | 0.410997 | − | 0.284747i | ||||
\(149\) | 14.5359i | 1.19083i | 0.803419 | + | 0.595414i | \(0.203012\pi\) | ||||
−0.803419 | + | 0.595414i | \(0.796988\pi\) | |||||||
\(150\) | −7.56218 | + | 9.63397i | −0.617449 | + | 0.786611i | ||||
\(151\) | −5.83013 | + | 3.36603i | −0.474449 | + | 0.273923i | −0.718100 | − | 0.695940i | \(-0.754988\pi\) |
0.243651 | + | 0.969863i | \(0.421655\pi\) | |||||||
\(152\) | 0.133975 | − | 0.500000i | 0.0108668 | − | 0.0405554i | ||||
\(153\) | −1.09808 | − | 1.90192i | −0.0887742 | − | 0.153761i | ||||
\(154\) | −0.464102 | − | 0.464102i | −0.0373984 | − | 0.0373984i | ||||
\(155\) | −14.6603 | − | 13.0000i | −1.17754 | − | 1.04419i | ||||
\(156\) | 6.46410 | − | 6.46410i | 0.517542 | − | 0.517542i | ||||
\(157\) | 5.23205 | + | 19.5263i | 0.417563 | + | 1.55837i | 0.779646 | + | 0.626221i | \(0.215399\pi\) |
−0.362083 | + | 0.932146i | \(0.617934\pi\) | |||||||
\(158\) | −2.53590 | − | 2.53590i | −0.201745 | − | 0.201745i | ||||
\(159\) | −21.7128 | −1.72194 | ||||||||
\(160\) | −1.23205 | − | 1.86603i | −0.0974022 | − | 0.147522i | ||||
\(161\) | 0.366025 | + | 0.0980762i | 0.0288468 | + | 0.00772949i | ||||
\(162\) | 9.00000 | 0.707107 | ||||||||
\(163\) | 4.09808 | + | 2.36603i | 0.320986 | + | 0.185321i | 0.651832 | − | 0.758363i | \(-0.274001\pi\) |
−0.330846 | + | 0.943685i | \(0.607334\pi\) | |||||||
\(164\) | 8.19615 | + | 4.73205i | 0.640012 | + | 0.369511i | ||||
\(165\) | 0.509619 | − | 2.49038i | 0.0396738 | − | 0.193876i | ||||
\(166\) | 1.46410 | − | 5.46410i | 0.113636 | − | 0.424097i | ||||
\(167\) | 13.8564 | − | 8.00000i | 1.07224 | − | 0.619059i | 0.143448 | − | 0.989658i | \(-0.454181\pi\) |
0.928793 | + | 0.370599i | \(0.120848\pi\) | |||||||
\(168\) | −3.00000 | − | 1.73205i | −0.231455 | − | 0.133631i | ||||
\(169\) | −0.464102 | + | 0.803848i | −0.0357001 | + | 0.0618344i | ||||
\(170\) | 1.36603 | − | 0.901924i | 0.104769 | − | 0.0691744i | ||||
\(171\) | 1.09808 | − | 1.09808i | 0.0839720 | − | 0.0839720i | ||||
\(172\) | −2.00000 | − | 3.46410i | −0.152499 | − | 0.264135i | ||||
\(173\) | 5.83975 | + | 21.7942i | 0.443988 | + | 1.65698i | 0.718596 | + | 0.695428i | \(0.244785\pi\) |
−0.274608 | + | 0.961556i | \(0.588548\pi\) | |||||||
\(174\) | 5.07180i | 0.384492i | ||||||||
\(175\) | −7.00000 | − | 1.00000i | −0.529150 | − | 0.0755929i | ||||
\(176\) | 0.401924 | + | 0.232051i | 0.0302961 | + | 0.0174915i | ||||
\(177\) | −11.6603 | −0.876438 | ||||||||
\(178\) | 14.1603 | + | 3.79423i | 1.06136 | + | 0.284389i | ||||
\(179\) | 12.5622 | − | 12.5622i | 0.938941 | − | 0.938941i | −0.0592990 | − | 0.998240i | \(-0.518887\pi\) |
0.998240 | + | 0.0592990i | \(0.0188865\pi\) | |||||||
\(180\) | −0.401924 | − | 6.69615i | −0.0299576 | − | 0.499102i | ||||
\(181\) | 6.02628 | + | 10.4378i | 0.447930 | + | 0.775837i | 0.998251 | − | 0.0591158i | \(-0.0188281\pi\) |
−0.550321 | + | 0.834953i | \(0.685495\pi\) | |||||||
\(182\) | 5.09808 | + | 1.36603i | 0.377895 | + | 0.101257i | ||||
\(183\) | −2.66025 | + | 4.60770i | −0.196652 | + | 0.340611i | ||||
\(184\) | −0.267949 | −0.0197535 | ||||||||
\(185\) | 1.92820 | + | 13.4641i | 0.141764 | + | 0.989900i | ||||
\(186\) | 21.4641 | 1.57382 | ||||||||
\(187\) | −0.169873 | + | 0.294229i | −0.0124223 | + | 0.0215161i | ||||
\(188\) | −2.86603 | − | 0.767949i | −0.209026 | − | 0.0560085i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.866025 | + | 0.767949i | 0.0628281 | + | 0.0557129i | ||||
\(191\) | −16.1962 | + | 16.1962i | −1.17191 | + | 1.17191i | −0.190159 | + | 0.981753i | \(0.560900\pi\) |
−0.981753 | + | 0.190159i | \(0.939100\pi\) | |||||||
\(192\) | 2.36603 | + | 0.633975i | 0.170753 | + | 0.0457532i | ||||
\(193\) | 22.1962 | 1.59771 | 0.798857 | − | 0.601521i | \(-0.205438\pi\) | ||||
0.798857 | + | 0.601521i | \(0.205438\pi\) | |||||||
\(194\) | 8.19615 | + | 4.73205i | 0.588449 | + | 0.339741i | ||||
\(195\) | 6.46410 | + | 19.3923i | 0.462904 | + | 1.38871i | ||||
\(196\) | 5.00000i | 0.357143i | ||||||||
\(197\) | 4.56218 | + | 17.0263i | 0.325042 | + | 1.21307i | 0.914270 | + | 0.405106i | \(0.132765\pi\) |
−0.589228 | + | 0.807967i | \(0.700568\pi\) | |||||||
\(198\) | 0.696152 | + | 1.20577i | 0.0494734 | + | 0.0856904i | ||||
\(199\) | 10.9282 | − | 10.9282i | 0.774680 | − | 0.774680i | −0.204241 | − | 0.978921i | \(-0.565473\pi\) |
0.978921 | + | 0.204241i | \(0.0654726\pi\) | |||||||
\(200\) | 4.96410 | − | 0.598076i | 0.351015 | − | 0.0422904i | ||||
\(201\) | 13.3923 | − | 23.1962i | 0.944620 | − | 1.63613i | ||||
\(202\) | −10.7321 | − | 6.19615i | −0.755104 | − | 0.435960i | ||||
\(203\) | −2.53590 | + | 1.46410i | −0.177985 | + | 0.102760i | ||||
\(204\) | −0.464102 | + | 1.73205i | −0.0324936 | + | 0.121268i | ||||
\(205\) | −17.6603 | + | 11.6603i | −1.23345 | + | 0.814387i | ||||
\(206\) | 15.0622 | + | 8.69615i | 1.04943 | + | 0.605890i | ||||
\(207\) | −0.696152 | − | 0.401924i | −0.0483859 | − | 0.0279356i | ||||
\(208\) | −3.73205 | −0.258771 | ||||||||
\(209\) | −0.232051 | − | 0.0621778i | −0.0160513 | − | 0.00430093i | ||||
\(210\) | 6.46410 | − | 4.26795i | 0.446065 | − | 0.294516i | ||||
\(211\) | −0.856406 | −0.0589575 | −0.0294787 | − | 0.999565i | \(-0.509385\pi\) | ||||
−0.0294787 | + | 0.999565i | \(0.509385\pi\) | |||||||
\(212\) | 6.26795 | + | 6.26795i | 0.430485 | + | 0.430485i | ||||
\(213\) | 3.80385 | + | 14.1962i | 0.260635 | + | 0.972704i | ||||
\(214\) | −7.46410 | + | 7.46410i | −0.510235 | + | 0.510235i | ||||
\(215\) | 8.92820 | − | 0.535898i | 0.608898 | − | 0.0365480i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.19615 | + | 10.7321i | 0.420622 | + | 0.728539i | ||||
\(218\) | 1.56218 | − | 5.83013i | 0.105804 | − | 0.394866i | ||||
\(219\) | 17.7846 | − | 10.2679i | 1.20177 | − | 0.693844i | ||||
\(220\) | −0.866025 | + | 0.571797i | −0.0583874 | + | 0.0385505i | ||||
\(221\) | − | 2.73205i | − | 0.183778i | ||||||
\(222\) | −11.3660 | − | 9.63397i | −0.762838 | − | 0.646590i | ||||
\(223\) | 11.3660 | + | 11.3660i | 0.761125 | + | 0.761125i | 0.976526 | − | 0.215400i | \(-0.0691057\pi\) |
−0.215400 | + | 0.976526i | \(0.569106\pi\) | |||||||
\(224\) | 0.366025 | + | 1.36603i | 0.0244561 | + | 0.0912714i | ||||
\(225\) | 13.7942 | + | 5.89230i | 0.919615 | + | 0.392820i | ||||
\(226\) | −5.36603 | + | 3.09808i | −0.356943 | + | 0.206081i | ||||
\(227\) | −25.0981 | + | 14.4904i | −1.66582 | + | 0.961760i | −0.695963 | + | 0.718078i | \(0.745022\pi\) |
−0.969855 | + | 0.243682i | \(0.921645\pi\) | |||||||
\(228\) | −1.26795 | −0.0839720 | ||||||||
\(229\) | 10.8564 | − | 6.26795i | 0.717412 | − | 0.414198i | −0.0963877 | − | 0.995344i | \(-0.530729\pi\) |
0.813799 | + | 0.581146i | \(0.197396\pi\) | |||||||
\(230\) | 0.267949 | − | 0.535898i | 0.0176680 | − | 0.0353361i | ||||
\(231\) | −0.803848 | + | 1.39230i | −0.0528893 | + | 0.0916069i | ||||
\(232\) | 1.46410 | − | 1.46410i | 0.0961230 | − | 0.0961230i | ||||
\(233\) | −3.19615 | + | 3.19615i | −0.209387 | + | 0.209387i | −0.804007 | − | 0.594620i | \(-0.797303\pi\) |
0.594620 | + | 0.804007i | \(0.297303\pi\) | |||||||
\(234\) | −9.69615 | − | 5.59808i | −0.633857 | − | 0.365958i | ||||
\(235\) | 4.40192 | − | 4.96410i | 0.287150 | − | 0.323822i | ||||
\(236\) | 3.36603 | + | 3.36603i | 0.219110 | + | 0.219110i | ||||
\(237\) | −4.39230 | + | 7.60770i | −0.285311 | + | 0.494173i | ||||
\(238\) | −1.00000 | + | 0.267949i | −0.0648204 | + | 0.0173686i | ||||
\(239\) | −24.4904 | + | 6.56218i | −1.58415 | + | 0.424472i | −0.940208 | − | 0.340601i | \(-0.889369\pi\) |
−0.643943 | + | 0.765073i | \(0.722703\pi\) | |||||||
\(240\) | −3.63397 | + | 4.09808i | −0.234572 | + | 0.264530i | ||||
\(241\) | −8.96410 | − | 2.40192i | −0.577429 | − | 0.154722i | −0.0417272 | − | 0.999129i | \(-0.513286\pi\) |
−0.535701 | + | 0.844408i | \(0.679953\pi\) | |||||||
\(242\) | −5.39230 | + | 9.33975i | −0.346630 | + | 0.600382i | ||||
\(243\) | −5.70577 | − | 21.2942i | −0.366025 | − | 1.36603i | ||||
\(244\) | 2.09808 | − | 0.562178i | 0.134316 | − | 0.0359897i | ||||
\(245\) | −10.0000 | − | 5.00000i | −0.638877 | − | 0.319438i | ||||
\(246\) | 6.00000 | − | 22.3923i | 0.382546 | − | 1.42768i | ||||
\(247\) | 1.86603 | − | 0.500000i | 0.118732 | − | 0.0318142i | ||||
\(248\) | −6.19615 | − | 6.19615i | −0.393456 | − | 0.393456i | ||||
\(249\) | −13.8564 | −0.878114 | ||||||||
\(250\) | −3.76795 | + | 10.5263i | −0.238306 | + | 0.665740i | ||||
\(251\) | −12.0981 | − | 12.0981i | −0.763624 | − | 0.763624i | 0.213352 | − | 0.976975i | \(-0.431562\pi\) |
−0.976975 | + | 0.213352i | \(0.931562\pi\) | |||||||
\(252\) | −1.09808 | + | 4.09808i | −0.0691723 | + | 0.258155i | ||||
\(253\) | 0.124356i | 0.00781817i | ||||||||
\(254\) | 15.4282 | + | 4.13397i | 0.968052 | + | 0.259389i | ||||
\(255\) | −3.00000 | − | 2.66025i | −0.187867 | − | 0.166592i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 13.0981 | + | 7.56218i | 0.817036 | + | 0.471716i | 0.849393 | − | 0.527761i | \(-0.176968\pi\) |
−0.0323576 | + | 0.999476i | \(0.510302\pi\) | |||||||
\(258\) | −6.92820 | + | 6.92820i | −0.431331 | + | 0.431331i | ||||
\(259\) | 1.53590 | − | 8.46410i | 0.0954361 | − | 0.525934i | ||||
\(260\) | 3.73205 | − | 7.46410i | 0.231452 | − | 0.462904i | ||||
\(261\) | 6.00000 | − | 1.60770i | 0.371391 | − | 0.0995138i | ||||
\(262\) | 1.43782 | − | 5.36603i | 0.0888290 | − | 0.331514i | ||||
\(263\) | 2.50000 | + | 0.669873i | 0.154157 | + | 0.0413061i | 0.335072 | − | 0.942193i | \(-0.391239\pi\) |
−0.180915 | + | 0.983499i | \(0.557906\pi\) | |||||||
\(264\) | 0.294229 | − | 1.09808i | 0.0181085 | − | 0.0675819i | ||||
\(265\) | −18.8038 | + | 6.26795i | −1.15511 | + | 0.385037i | ||||
\(266\) | −0.366025 | − | 0.633975i | −0.0224425 | − | 0.0388715i | ||||
\(267\) | − | 35.9090i | − | 2.19759i | ||||||
\(268\) | −10.5622 | + | 2.83013i | −0.645188 | + | 0.172878i | ||||
\(269\) | − | 9.26795i | − | 0.565077i | −0.959256 | − | 0.282538i | \(-0.908824\pi\) | ||
0.959256 | − | 0.282538i | \(-0.0911765\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.8564 | + | 25.7321i | −0.902462 | + | 1.56311i | −0.0781747 | + | 0.996940i | \(0.524909\pi\) |
−0.824288 | + | 0.566171i | \(0.808424\pi\) | |||||||
\(272\) | 0.633975 | − | 0.366025i | 0.0384404 | − | 0.0221936i | ||||
\(273\) | − | 12.9282i | − | 0.782450i | ||||||
\(274\) | −2.26795 | − | 8.46410i | −0.137012 | − | 0.511335i | ||||
\(275\) | −0.277568 | − | 2.30385i | −0.0167380 | − | 0.138927i | ||||
\(276\) | 0.169873 | + | 0.633975i | 0.0102252 | + | 0.0381608i | ||||
\(277\) | 7.26795 | + | 12.5885i | 0.436689 | + | 0.756367i | 0.997432 | − | 0.0716228i | \(-0.0228178\pi\) |
−0.560743 | + | 0.827990i | \(0.689484\pi\) | |||||||
\(278\) | −4.13397 | − | 7.16025i | −0.247939 | − | 0.429443i | ||||
\(279\) | −6.80385 | − | 25.3923i | −0.407336 | − | 1.52020i | ||||
\(280\) | −3.09808 | − | 0.633975i | −0.185145 | − | 0.0378872i | ||||
\(281\) | −6.50000 | − | 24.2583i | −0.387757 | − | 1.44713i | −0.833774 | − | 0.552106i | \(-0.813824\pi\) |
0.446016 | − | 0.895025i | \(-0.352842\pi\) | |||||||
\(282\) | 7.26795i | 0.432800i | ||||||||
\(283\) | 12.2942 | − | 7.09808i | 0.730816 | − | 0.421937i | −0.0879046 | − | 0.996129i | \(-0.528017\pi\) |
0.818721 | + | 0.574192i | \(0.194684\pi\) | |||||||
\(284\) | 3.00000 | − | 5.19615i | 0.178017 | − | 0.308335i | ||||
\(285\) | 1.26795 | − | 2.53590i | 0.0751068 | − | 0.150214i | ||||
\(286\) | 1.73205i | 0.102418i | ||||||||
\(287\) | 12.9282 | − | 3.46410i | 0.763128 | − | 0.204479i | ||||
\(288\) | − | 3.00000i | − | 0.176777i | ||||||
\(289\) | −8.23205 | − | 14.2583i | −0.484238 | − | 0.838725i | ||||
\(290\) | 1.46410 | + | 4.39230i | 0.0859750 | + | 0.257925i | ||||
\(291\) | 6.00000 | − | 22.3923i | 0.351726 | − | 1.31266i | ||||
\(292\) | −8.09808 | − | 2.16987i | −0.473904 | − | 0.126982i | ||||
\(293\) | 3.06218 | − | 11.4282i | 0.178894 | − | 0.667643i | −0.816961 | − | 0.576693i | \(-0.804343\pi\) |
0.995855 | − | 0.0909500i | \(-0.0289903\pi\) | |||||||
\(294\) | 11.8301 | − | 3.16987i | 0.689947 | − | 0.184871i | ||||
\(295\) | −10.0981 | + | 3.36603i | −0.587933 | + | 0.195978i | ||||
\(296\) | 0.500000 | + | 6.06218i | 0.0290619 | + | 0.352357i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.5885 | − | 7.26795i | −0.729230 | − | 0.421021i | ||||
\(299\) | −0.500000 | − | 0.866025i | −0.0289157 | − | 0.0500835i | ||||
\(300\) | −4.56218 | − | 11.3660i | −0.263397 | − | 0.656218i | ||||
\(301\) | −5.46410 | − | 1.46410i | −0.314946 | − | 0.0843894i | ||||
\(302\) | − | 6.73205i | − | 0.387386i | ||||||
\(303\) | −7.85641 | + | 29.3205i | −0.451339 | + | 1.68442i | ||||
\(304\) | 0.366025 | + | 0.366025i | 0.0209930 | + | 0.0209930i | ||||
\(305\) | −0.973721 | + | 4.75833i | −0.0557551 | + | 0.272461i | ||||
\(306\) | 2.19615 | 0.125546 | ||||||||
\(307\) | 1.73205 | + | 1.73205i | 0.0988534 | + | 0.0988534i | 0.754804 | − | 0.655951i | \(-0.227732\pi\) |
−0.655951 | + | 0.754804i | \(0.727732\pi\) | |||||||
\(308\) | 0.633975 | − | 0.169873i | 0.0361241 | − | 0.00967941i | ||||
\(309\) | 11.0263 | − | 41.1506i | 0.627263 | − | 2.34098i | ||||
\(310\) | 18.5885 | − | 6.19615i | 1.05575 | − | 0.351918i | ||||
\(311\) | −0.366025 | + | 0.0980762i | −0.0207554 | + | 0.00556139i | −0.269182 | − | 0.963089i | \(-0.586753\pi\) |
0.248426 | + | 0.968651i | \(0.420087\pi\) | |||||||
\(312\) | 2.36603 | + | 8.83013i | 0.133950 | + | 0.499908i | ||||
\(313\) | 0.0717968 | − | 0.124356i | 0.00405819 | − | 0.00702900i | −0.863989 | − | 0.503510i | \(-0.832042\pi\) |
0.868047 | + | 0.496481i | \(0.165375\pi\) | |||||||
\(314\) | −19.5263 | − | 5.23205i | −1.10193 | − | 0.295262i | ||||
\(315\) | −7.09808 | − | 6.29423i | −0.399931 | − | 0.354640i | ||||
\(316\) | 3.46410 | − | 0.928203i | 0.194871 | − | 0.0522155i | ||||
\(317\) | −22.5263 | + | 6.03590i | −1.26520 | + | 0.339010i | −0.828191 | − | 0.560446i | \(-0.810630\pi\) |
−0.437011 | + | 0.899456i | \(0.643963\pi\) | |||||||
\(318\) | 10.8564 | − | 18.8038i | 0.608797 | − | 1.05447i | ||||
\(319\) | −0.679492 | − | 0.679492i | −0.0380442 | − | 0.0380442i | ||||
\(320\) | 2.23205 | − | 0.133975i | 0.124775 | − | 0.00748941i | ||||
\(321\) | 22.3923 | + | 12.9282i | 1.24982 | + | 0.721582i | ||||
\(322\) | −0.267949 | + | 0.267949i | −0.0149322 | + | 0.0149322i | ||||
\(323\) | −0.267949 | + | 0.267949i | −0.0149091 | + | 0.0149091i | ||||
\(324\) | −4.50000 | + | 7.79423i | −0.250000 | + | 0.433013i | ||||
\(325\) | 11.1962 | + | 14.9282i | 0.621051 | + | 0.828068i | ||||
\(326\) | −4.09808 | + | 2.36603i | −0.226971 | + | 0.131042i | ||||
\(327\) | −14.7846 | −0.817591 | ||||||||
\(328\) | −8.19615 | + | 4.73205i | −0.452557 | + | 0.261284i | ||||
\(329\) | −3.63397 | + | 2.09808i | −0.200348 | + | 0.115671i | ||||
\(330\) | 1.90192 | + | 1.68653i | 0.104697 | + | 0.0928406i | ||||
\(331\) | 1.33013 | + | 4.96410i | 0.0731104 | + | 0.272852i | 0.992798 | − | 0.119799i | \(-0.0382249\pi\) |
−0.919688 | + | 0.392650i | \(0.871558\pi\) | |||||||
\(332\) | 4.00000 | + | 4.00000i | 0.219529 | + | 0.219529i | ||||
\(333\) | −7.79423 | + | 16.5000i | −0.427121 | + | 0.904194i | ||||
\(334\) | 16.0000i | 0.875481i | ||||||||
\(335\) | 4.90192 | − | 23.9545i | 0.267821 | − | 1.30877i | ||||
\(336\) | 3.00000 | − | 1.73205i | 0.163663 | − | 0.0944911i | ||||
\(337\) | 0.679492 | − | 2.53590i | 0.0370143 | − | 0.138139i | −0.944946 | − | 0.327226i | \(-0.893886\pi\) |
0.981960 | + | 0.189087i | \(0.0605528\pi\) | |||||||
\(338\) | −0.464102 | − | 0.803848i | −0.0252438 | − | 0.0437235i | ||||
\(339\) | 10.7321 | + | 10.7321i | 0.582885 | + | 0.582885i | ||||
\(340\) | 0.0980762 | + | 1.63397i | 0.00531893 | + | 0.0886147i | ||||
\(341\) | −2.87564 | + | 2.87564i | −0.155725 | + | 0.155725i | ||||
\(342\) | 0.401924 | + | 1.50000i | 0.0217335 | + | 0.0811107i | ||||
\(343\) | 12.0000 | + | 12.0000i | 0.647939 | + | 0.647939i | ||||
\(344\) | 4.00000 | 0.215666 | ||||||||
\(345\) | −1.43782 | − | 0.294229i | −0.0774097 | − | 0.0158407i | ||||
\(346\) | −21.7942 | − | 5.83975i | −1.17166 | − | 0.313947i | ||||
\(347\) | −9.12436 | −0.489821 | −0.244911 | − | 0.969546i | \(-0.578759\pi\) | ||||
−0.244911 | + | 0.969546i | \(0.578759\pi\) | |||||||
\(348\) | −4.39230 | − | 2.53590i | −0.235452 | − | 0.135938i | ||||
\(349\) | 15.9282 | + | 9.19615i | 0.852617 | + | 0.492259i | 0.861533 | − | 0.507701i | \(-0.169505\pi\) |
−0.00891587 | + | 0.999960i | \(0.502838\pi\) | |||||||
\(350\) | 4.36603 | − | 5.56218i | 0.233374 | − | 0.297311i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.401924 | + | 0.232051i | −0.0214226 | + | 0.0123683i | ||||
\(353\) | 11.4904 | + | 6.63397i | 0.611571 | + | 0.353091i | 0.773580 | − | 0.633698i | \(-0.218464\pi\) |
−0.162009 | + | 0.986789i | \(0.551797\pi\) | |||||||
\(354\) | 5.83013 | − | 10.0981i | 0.309868 | − | 0.536707i | ||||
\(355\) | 7.39230 | + | 11.1962i | 0.392343 | + | 0.594230i | ||||
\(356\) | −10.3660 | + | 10.3660i | −0.549398 | + | 0.549398i | ||||
\(357\) | 1.26795 | + | 2.19615i | 0.0671070 | + | 0.116233i | ||||
\(358\) | 4.59808 | + | 17.1603i | 0.243016 | + | 0.906948i | ||||
\(359\) | − | 3.12436i | − | 0.164897i | −0.996595 | − | 0.0824486i | \(-0.973726\pi\) | ||
0.996595 | − | 0.0824486i | \(-0.0262740\pi\) | |||||||
\(360\) | 6.00000 | + | 3.00000i | 0.316228 | + | 0.158114i | ||||
\(361\) | 16.2224 | + | 9.36603i | 0.853812 | + | 0.492949i | ||||
\(362\) | −12.0526 | −0.633468 | ||||||||
\(363\) | 25.5167 | + | 6.83717i | 1.33928 | + | 0.358858i | ||||
\(364\) | −3.73205 | + | 3.73205i | −0.195613 | + | 0.195613i | ||||
\(365\) | 12.4378 | − | 14.0263i | 0.651025 | − | 0.734169i | ||||
\(366\) | −2.66025 | − | 4.60770i | −0.139054 | − | 0.240848i | ||||
\(367\) | −14.2583 | − | 3.82051i | −0.744279 | − | 0.199429i | −0.133300 | − | 0.991076i | \(-0.542557\pi\) |
−0.610979 | + | 0.791647i | \(0.709224\pi\) | |||||||
\(368\) | 0.133975 | − | 0.232051i | 0.00698391 | − | 0.0120965i | ||||
\(369\) | −28.3923 | −1.47804 | ||||||||
\(370\) | −12.6244 | − | 5.06218i | −0.656309 | − | 0.263170i | ||||
\(371\) | 12.5359 | 0.650831 | ||||||||
\(372\) | −10.7321 | + | 18.5885i | −0.556431 | + | 0.963767i | ||||
\(373\) | −1.76795 | − | 0.473721i | −0.0915409 | − | 0.0245283i | 0.212758 | − | 0.977105i | \(-0.431755\pi\) |
−0.304299 | + | 0.952577i | \(0.598422\pi\) | |||||||
\(374\) | −0.169873 | − | 0.294229i | −0.00878392 | − | 0.0152142i | ||||
\(375\) | 27.2942 | + | 2.24167i | 1.40947 | + | 0.115759i | ||||
\(376\) | 2.09808 | − | 2.09808i | 0.108200 | − | 0.108200i | ||||
\(377\) | 7.46410 | + | 2.00000i | 0.384421 | + | 0.103005i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.87564 | + | 5.12436i | 0.455911 | + | 0.263220i | 0.710323 | − | 0.703875i | \(-0.248549\pi\) |
−0.254412 | + | 0.967096i | \(0.581882\pi\) | |||||||
\(380\) | −1.09808 | + | 0.366025i | −0.0563301 | + | 0.0187767i | ||||
\(381\) | − | 39.1244i | − | 2.00440i | ||||||
\(382\) | −5.92820 | − | 22.1244i | −0.303313 | − | 1.13198i | ||||
\(383\) | 10.3301 | + | 17.8923i | 0.527845 | + | 0.914254i | 0.999473 | + | 0.0324566i | \(0.0103331\pi\) |
−0.471628 | + | 0.881797i | \(0.656334\pi\) | |||||||
\(384\) | −1.73205 | + | 1.73205i | −0.0883883 | + | 0.0883883i | ||||
\(385\) | −0.294229 | + | 1.43782i | −0.0149953 | + | 0.0732782i | ||||
\(386\) | −11.0981 | + | 19.2224i | −0.564877 | + | 0.978396i | ||||
\(387\) | 10.3923 | + | 6.00000i | 0.528271 | + | 0.304997i | ||||
\(388\) | −8.19615 | + | 4.73205i | −0.416097 | + | 0.240233i | ||||
\(389\) | 4.00000 | − | 14.9282i | 0.202808 | − | 0.756890i | −0.787298 | − | 0.616572i | \(-0.788521\pi\) |
0.990107 | − | 0.140318i | \(-0.0448124\pi\) | |||||||
\(390\) | −20.0263 | − | 4.09808i | −1.01407 | − | 0.207514i | ||||
\(391\) | 0.169873 | + | 0.0980762i | 0.00859085 | + | 0.00495993i | ||||
\(392\) | −4.33013 | − | 2.50000i | −0.218704 | − | 0.126269i | ||||
\(393\) | −13.6077 | −0.686417 | ||||||||
\(394\) | −17.0263 | − | 4.56218i | −0.857772 | − | 0.229839i | ||||
\(395\) | −1.60770 | + | 7.85641i | −0.0808919 | + | 0.395299i | ||||
\(396\) | −1.39230 | −0.0699660 | ||||||||
\(397\) | −11.9019 | − | 11.9019i | −0.597340 | − | 0.597340i | 0.342264 | − | 0.939604i | \(-0.388806\pi\) |
−0.939604 | + | 0.342264i | \(0.888806\pi\) | |||||||
\(398\) | 4.00000 | + | 14.9282i | 0.200502 | + | 0.748283i | ||||
\(399\) | −1.26795 | + | 1.26795i | −0.0634769 | + | 0.0634769i | ||||
\(400\) | −1.96410 | + | 4.59808i | −0.0982051 | + | 0.229904i | ||||
\(401\) | 14.5622 | + | 14.5622i | 0.727200 | + | 0.727200i | 0.970061 | − | 0.242861i | \(-0.0780858\pi\) |
−0.242861 | + | 0.970061i | \(0.578086\pi\) | |||||||
\(402\) | 13.3923 | + | 23.1962i | 0.667947 | + | 1.15692i | ||||
\(403\) | 8.46410 | − | 31.5885i | 0.421627 | − | 1.57353i | ||||
\(404\) | 10.7321 | − | 6.19615i | 0.533939 | − | 0.308270i | ||||
\(405\) | −11.0885 | − | 16.7942i | −0.550990 | − | 0.834512i | ||||
\(406\) | − | 2.92820i | − | 0.145324i | ||||||
\(407\) | 2.81347 | − | 0.232051i | 0.139458 | − | 0.0115023i | ||||
\(408\) | −1.26795 | − | 1.26795i | −0.0627728 | − | 0.0627728i | ||||
\(409\) | −2.43782 | − | 9.09808i | −0.120543 | − | 0.449871i | 0.879099 | − | 0.476639i | \(-0.158145\pi\) |
−0.999642 | + | 0.0267681i | \(0.991478\pi\) | |||||||
\(410\) | −1.26795 | − | 21.1244i | −0.0626195 | − | 1.04326i | ||||
\(411\) | −18.5885 | + | 10.7321i | −0.916901 | + | 0.529373i | ||||
\(412\) | −15.0622 | + | 8.69615i | −0.742060 | + | 0.428429i | ||||
\(413\) | 6.73205 | 0.331263 | ||||||||
\(414\) | 0.696152 | − | 0.401924i | 0.0342140 | − | 0.0197535i | ||||
\(415\) | −12.0000 | + | 4.00000i | −0.589057 | + | 0.196352i | ||||
\(416\) | 1.86603 | − | 3.23205i | 0.0914894 | − | 0.158464i | ||||
\(417\) | −14.3205 | + | 14.3205i | −0.701278 | + | 0.701278i | ||||
\(418\) | 0.169873 | − | 0.169873i | 0.00830876 | − | 0.00830876i | ||||
\(419\) | 23.0885 | + | 13.3301i | 1.12794 | + | 0.651219i | 0.943417 | − | 0.331608i | \(-0.107591\pi\) |
0.184528 | + | 0.982827i | \(0.440924\pi\) | |||||||
\(420\) | 0.464102 | + | 7.73205i | 0.0226458 | + | 0.377285i | ||||
\(421\) | 19.3205 | + | 19.3205i | 0.941624 | + | 0.941624i | 0.998388 | − | 0.0567637i | \(-0.0180782\pi\) |
−0.0567637 | + | 0.998388i | \(0.518078\pi\) | |||||||
\(422\) | 0.428203 | − | 0.741670i | 0.0208446 | − | 0.0361039i | ||||
\(423\) | 8.59808 | − | 2.30385i | 0.418053 | − | 0.112017i | ||||
\(424\) | −8.56218 | + | 2.29423i | −0.415816 | + | 0.111418i | ||||
\(425\) | −3.36603 | − | 1.43782i | −0.163276 | − | 0.0697446i | ||||
\(426\) | −14.1962 | − | 3.80385i | −0.687806 | − | 0.184297i | ||||
\(427\) | 1.53590 | − | 2.66025i | 0.0743273 | − | 0.128739i | ||||
\(428\) | −2.73205 | − | 10.1962i | −0.132059 | − | 0.492850i | ||||
\(429\) | 4.09808 | − | 1.09808i | 0.197857 | − | 0.0530156i | ||||
\(430\) | −4.00000 | + | 8.00000i | −0.192897 | + | 0.385794i | ||||
\(431\) | 7.24167 | − | 27.0263i | 0.348819 | − | 1.30181i | −0.539268 | − | 0.842134i | \(-0.681299\pi\) |
0.888087 | − | 0.459676i | \(-0.152034\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.5167 | + | 28.5167i | 1.37042 | + | 1.37042i | 0.859811 | + | 0.510612i | \(0.170581\pi\) |
0.510612 | + | 0.859811i | \(0.329419\pi\) | |||||||
\(434\) | −12.3923 | −0.594850 | ||||||||
\(435\) | 9.46410 | − | 6.24871i | 0.453769 | − | 0.299603i | ||||
\(436\) | 4.26795 | + | 4.26795i | 0.204398 | + | 0.204398i | ||||
\(437\) | −0.0358984 | + | 0.133975i | −0.00171725 | + | 0.00640887i | ||||
\(438\) | 20.5359i | 0.981243i | ||||||||
\(439\) | 6.36603 | + | 1.70577i | 0.303834 | + | 0.0814120i | 0.407515 | − | 0.913199i | \(-0.366395\pi\) |
−0.103681 | + | 0.994611i | \(0.533062\pi\) | |||||||
\(440\) | −0.0621778 | − | 1.03590i | −0.00296421 | − | 0.0493845i | ||||
\(441\) | −7.50000 | − | 12.9904i | −0.357143 | − | 0.618590i | ||||
\(442\) | 2.36603 | + | 1.36603i | 0.112540 | + | 0.0649752i | ||||
\(443\) | −9.85641 | + | 9.85641i | −0.468292 | + | 0.468292i | −0.901361 | − | 0.433069i | \(-0.857431\pi\) |
0.433069 | + | 0.901361i | \(0.357431\pi\) | |||||||
\(444\) | 14.0263 | − | 5.02628i | 0.665658 | − | 0.238537i | ||||
\(445\) | −10.3660 | − | 31.0981i | −0.491397 | − | 1.47419i | ||||
\(446\) | −15.5263 | + | 4.16025i | −0.735191 | + | 0.196994i | ||||
\(447\) | −9.21539 | + | 34.3923i | −0.435873 | + | 1.62670i | ||||
\(448\) | −1.36603 | − | 0.366025i | −0.0645386 | − | 0.0172931i | ||||
\(449\) | 3.22243 | − | 12.0263i | 0.152076 | − | 0.567555i | −0.847262 | − | 0.531175i | \(-0.821751\pi\) |
0.999338 | − | 0.0363801i | \(-0.0115827\pi\) | |||||||
\(450\) | −12.0000 | + | 9.00000i | −0.565685 | + | 0.424264i | ||||
\(451\) | 2.19615 | + | 3.80385i | 0.103413 | + | 0.179116i | ||||
\(452\) | − | 6.19615i | − | 0.291442i | ||||||
\(453\) | −15.9282 | + | 4.26795i | −0.748372 | + | 0.200526i | ||||
\(454\) | − | 28.9808i | − | 1.36013i | ||||||
\(455\) | −3.73205 | − | 11.1962i | −0.174961 | − | 0.524884i | ||||
\(456\) | 0.633975 | − | 1.09808i | 0.0296886 | − | 0.0514221i | ||||
\(457\) | −1.26795 | + | 0.732051i | −0.0593122 | + | 0.0342439i | −0.529363 | − | 0.848396i | \(-0.677569\pi\) |
0.470051 | + | 0.882639i | \(0.344236\pi\) | |||||||
\(458\) | 12.5359i | 0.585764i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.330127 | + | 0.500000i | 0.0153923 | + | 0.0233126i | ||||
\(461\) | −5.90192 | − | 22.0263i | −0.274880 | − | 1.02587i | −0.955922 | − | 0.293622i | \(-0.905139\pi\) |
0.681042 | − | 0.732245i | \(-0.261527\pi\) | |||||||
\(462\) | −0.803848 | − | 1.39230i | −0.0373984 | − | 0.0647759i | ||||
\(463\) | −18.3923 | − | 31.8564i | −0.854763 | − | 1.48049i | −0.876865 | − | 0.480737i | \(-0.840369\pi\) |
0.0221019 | − | 0.999756i | \(-0.492964\pi\) | |||||||
\(464\) | 0.535898 | + | 2.00000i | 0.0248785 | + | 0.0928477i | ||||
\(465\) | −26.4449 | − | 40.0526i | −1.22635 | − | 1.85739i | ||||
\(466\) | −1.16987 | − | 4.36603i | −0.0541933 | − | 0.202252i | ||||
\(467\) | 10.3397i | 0.478466i | 0.970962 | + | 0.239233i | \(0.0768960\pi\) | ||||
−0.970962 | + | 0.239233i | \(0.923104\pi\) | |||||||
\(468\) | 9.69615 | − | 5.59808i | 0.448205 | − | 0.258771i | ||||
\(469\) | −7.73205 | + | 13.3923i | −0.357033 | + | 0.618399i | ||||
\(470\) | 2.09808 | + | 6.29423i | 0.0967770 | + | 0.290331i | ||||
\(471\) | 49.5167i | 2.28161i | ||||||||
\(472\) | −4.59808 | + | 1.23205i | −0.211644 | + | 0.0567097i | ||||
\(473\) | − | 1.85641i | − | 0.0853577i | ||||||
\(474\) | −4.39230 | − | 7.60770i | −0.201745 | − | 0.349433i | ||||
\(475\) | 0.366025 | − | 2.56218i | 0.0167944 | − | 0.117561i | ||||
\(476\) | 0.267949 | − | 1.00000i | 0.0122814 | − | 0.0458349i | ||||
\(477\) | −25.6865 | − | 6.88269i | −1.17611 | − | 0.315137i | ||||
\(478\) | 6.56218 | − | 24.4904i | 0.300147 | − | 1.12016i | ||||
\(479\) | −8.92820 | + | 2.39230i | −0.407940 | + | 0.109307i | −0.456953 | − | 0.889491i | \(-0.651059\pi\) |
0.0490128 | + | 0.998798i | \(0.484393\pi\) | |||||||
\(480\) | −1.73205 | − | 5.19615i | −0.0790569 | − | 0.237171i | ||||
\(481\) | −18.6603 | + | 12.9282i | −0.850834 | + | 0.589475i | ||||
\(482\) | 6.56218 | − | 6.56218i | 0.298899 | − | 0.298899i | ||||
\(483\) | 0.803848 | + | 0.464102i | 0.0365763 | + | 0.0211174i | ||||
\(484\) | −5.39230 | − | 9.33975i | −0.245105 | − | 0.424534i | ||||
\(485\) | −1.26795 | − | 21.1244i | −0.0575746 | − | 0.959208i | ||||
\(486\) | 21.2942 | + | 5.70577i | 0.965926 | + | 0.258819i | ||||
\(487\) | 10.7846i | 0.488697i | 0.969687 | + | 0.244349i | \(0.0785741\pi\) | ||||
−0.969687 | + | 0.244349i | \(0.921426\pi\) | |||||||
\(488\) | −0.562178 | + | 2.09808i | −0.0254486 | + | 0.0949754i | ||||
\(489\) | 8.19615 | + | 8.19615i | 0.370643 | + | 0.370643i | ||||
\(490\) | 9.33013 | − | 6.16025i | 0.421492 | − | 0.278292i | ||||
\(491\) | 2.60770 | 0.117684 | 0.0588418 | − | 0.998267i | \(-0.481259\pi\) | ||||
0.0588418 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(492\) | 16.3923 | + | 16.3923i | 0.739022 | + | 0.739022i | ||||
\(493\) | −1.46410 | + | 0.392305i | −0.0659398 | + | 0.0176685i | ||||
\(494\) | −0.500000 | + | 1.86603i | −0.0224961 | + | 0.0839565i | ||||
\(495\) | 1.39230 | − | 2.78461i | 0.0625794 | − | 0.125159i | ||||
\(496\) | 8.46410 | − | 2.26795i | 0.380049 | − | 0.101834i | ||||
\(497\) | −2.19615 | − | 8.19615i | −0.0985109 | − | 0.367648i | ||||
\(498\) | 6.92820 | − | 12.0000i | 0.310460 | − | 0.537733i | ||||
\(499\) | 21.2224 | + | 5.68653i | 0.950047 | + | 0.254564i | 0.700382 | − | 0.713768i | \(-0.253013\pi\) |
0.249665 | + | 0.968332i | \(0.419680\pi\) | |||||||
\(500\) | −7.23205 | − | 8.52628i | −0.323427 | − | 0.381307i | ||||
\(501\) | 37.8564 | − | 10.1436i | 1.69130 | − | 0.453182i | ||||
\(502\) | 16.5263 | − | 4.42820i | 0.737604 | − | 0.197640i | ||||
\(503\) | 10.6603 | − | 18.4641i | 0.475317 | − | 0.823274i | −0.524283 | − | 0.851544i | \(-0.675667\pi\) |
0.999600 | + | 0.0282704i | \(0.00899996\pi\) | |||||||
\(504\) | −3.00000 | − | 3.00000i | −0.133631 | − | 0.133631i | ||||
\(505\) | 1.66025 | + | 27.6603i | 0.0738803 | + | 1.23087i | ||||
\(506\) | −0.107695 | − | 0.0621778i | −0.00478763 | − | 0.00276414i | ||||
\(507\) | −1.60770 | + | 1.60770i | −0.0714002 | + | 0.0714002i | ||||
\(508\) | −11.2942 | + | 11.2942i | −0.501100 | + | 0.501100i | ||||
\(509\) | −16.7321 | + | 28.9808i | −0.741635 | + | 1.28455i | 0.210115 | + | 0.977677i | \(0.432616\pi\) |
−0.951750 | + | 0.306873i | \(0.900717\pi\) | |||||||
\(510\) | 3.80385 | − | 1.26795i | 0.168437 | − | 0.0561457i | ||||
\(511\) | −10.2679 | + | 5.92820i | −0.454227 | + | 0.262248i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.0981 | + | 7.56218i | −0.577731 | + | 0.333553i | ||||
\(515\) | −2.33013 | − | 38.8205i | −0.102678 | − | 1.71064i | ||||
\(516\) | −2.53590 | − | 9.46410i | −0.111637 | − | 0.416634i | ||||
\(517\) | −0.973721 | − | 0.973721i | −0.0428242 | − | 0.0428242i | ||||
\(518\) | 6.56218 | + | 5.56218i | 0.288326 | + | 0.244388i | ||||
\(519\) | 55.2679i | 2.42599i | ||||||||
\(520\) | 4.59808 | + | 6.96410i | 0.201639 | + | 0.305396i | ||||
\(521\) | 18.8660 | − | 10.8923i | 0.826536 | − | 0.477201i | −0.0261294 | − | 0.999659i | \(-0.508318\pi\) |
0.852665 | + | 0.522458i | \(0.174985\pi\) | |||||||
\(522\) | −1.60770 | + | 6.00000i | −0.0703669 | + | 0.262613i | ||||
\(523\) | 11.9545 | + | 20.7058i | 0.522733 | + | 0.905400i | 0.999650 | + | 0.0264519i | \(0.00842087\pi\) |
−0.476917 | + | 0.878948i | \(0.658246\pi\) | |||||||
\(524\) | 3.92820 | + | 3.92820i | 0.171604 | + | 0.171604i | ||||
\(525\) | −15.9282 | − | 6.80385i | −0.695164 | − | 0.296944i | ||||
\(526\) | −1.83013 | + | 1.83013i | −0.0797973 | + | 0.0797973i | ||||
\(527\) | 1.66025 | + | 6.19615i | 0.0723218 | + | 0.269909i | ||||
\(528\) | 0.803848 | + | 0.803848i | 0.0349830 | + | 0.0349830i | ||||
\(529\) | −22.9282 | −0.996878 | ||||||||
\(530\) | 3.97372 | − | 19.4186i | 0.172607 | − | 0.843489i | ||||
\(531\) | −13.7942 | − | 3.69615i | −0.598619 | − | 0.160399i | ||||
\(532\) | 0.732051 | 0.0317384 | ||||||||
\(533\) | −30.5885 | − | 17.6603i | −1.32493 | − | 0.764951i | ||||
\(534\) | 31.0981 | + | 17.9545i | 1.34575 | + | 0.776966i | ||||
\(535\) | 23.1244 | + | 4.73205i | 0.999753 | + | 0.204584i | ||||
\(536\) | 2.83013 | − | 10.5622i | 0.122243 | − | 0.456217i | ||||
\(537\) | 37.6865 | − | 21.7583i | 1.62629 | − | 0.938941i | ||||
\(538\) | 8.02628 | + | 4.63397i | 0.346037 | + | 0.199785i | ||||
\(539\) | −1.16025 | + | 2.00962i | −0.0499757 | + | 0.0865604i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.07180 | − | 1.07180i | 0.0460801 | − | 0.0460801i | −0.683691 | − | 0.729771i | \(-0.739626\pi\) |
0.729771 | + | 0.683691i | \(0.239626\pi\) | |||||||
\(542\) | −14.8564 | − | 25.7321i | −0.638137 | − | 1.10529i | ||||
\(543\) | 7.64102 | + | 28.5167i | 0.327907 | + | 1.22377i | ||||
\(544\) | 0.732051i | 0.0313864i | ||||||||
\(545\) | −12.8038 | + | 4.26795i | −0.548457 | + | 0.182819i | ||||
\(546\) | 11.1962 | + | 6.46410i | 0.479151 | + | 0.276638i | ||||
\(547\) | −0.535898 | −0.0229134 | −0.0114567 | − | 0.999934i | \(-0.503647\pi\) | ||||
−0.0114567 | + | 0.999934i | \(0.503647\pi\) | |||||||
\(548\) | 8.46410 | + | 2.26795i | 0.361569 | + | 0.0968820i | ||||
\(549\) | −4.60770 | + | 4.60770i | −0.196652 | + | 0.196652i | ||||
\(550\) | 2.13397 | + | 0.911543i | 0.0909930 | + | 0.0388683i | ||||
\(551\) | −0.535898 | − | 0.928203i | −0.0228300 | − | 0.0395428i | ||||
\(552\) | −0.633975 | − | 0.169873i | −0.0269838 | − | 0.00723027i | ||||
\(553\) | 2.53590 | − | 4.39230i | 0.107837 | − | 0.186780i | ||||
\(554\) | −14.5359 | −0.617571 | ||||||||
\(555\) | −3.97372 | + | 33.0788i | −0.168675 | + | 1.40412i | ||||
\(556\) | 8.26795 | 0.350639 | ||||||||
\(557\) | 3.40192 | − | 5.89230i | 0.144144 | − | 0.249665i | −0.784909 | − | 0.619611i | \(-0.787290\pi\) |
0.929053 | + | 0.369946i | \(0.120624\pi\) | |||||||
\(558\) | 25.3923 | + | 6.80385i | 1.07494 | + | 0.288030i | ||||
\(559\) | 7.46410 | + | 12.9282i | 0.315698 | + | 0.546805i | ||||
\(560\) | 2.09808 | − | 2.36603i | 0.0886599 | − | 0.0999828i | ||||
\(561\) | −0.588457 | + | 0.588457i | −0.0248447 | + | 0.0248447i | ||||
\(562\) | 24.2583 | + | 6.50000i | 1.02328 | + | 0.274186i | ||||
\(563\) | 33.1244 | 1.39603 | 0.698013 | − | 0.716086i | \(-0.254068\pi\) | ||||
0.698013 | + | 0.716086i | \(0.254068\pi\) | |||||||
\(564\) | −6.29423 | − | 3.63397i | −0.265035 | − | 0.153018i | ||||
\(565\) | 12.3923 | + | 6.19615i | 0.521348 | + | 0.260674i | ||||
\(566\) | 14.1962i | 0.596709i | ||||||||
\(567\) | 3.29423 | + | 12.2942i | 0.138345 | + | 0.516309i | ||||
\(568\) | 3.00000 | + | 5.19615i | 0.125877 | + | 0.218026i | ||||
\(569\) | −25.3468 | + | 25.3468i | −1.06259 | + | 1.06259i | −0.0646870 | + | 0.997906i | \(0.520605\pi\) |
−0.997906 | + | 0.0646870i | \(0.979395\pi\) | |||||||
\(570\) | 1.56218 | + | 2.36603i | 0.0654324 | + | 0.0991019i | ||||
\(571\) | 20.7224 | − | 35.8923i | 0.867207 | − | 1.50205i | 0.00236761 | − | 0.999997i | \(-0.499246\pi\) |
0.864839 | − | 0.502049i | \(-0.167420\pi\) | |||||||
\(572\) | −1.50000 | − | 0.866025i | −0.0627182 | − | 0.0362103i | ||||
\(573\) | −48.5885 | + | 28.0526i | −2.02981 | + | 1.17191i | ||||
\(574\) | −3.46410 | + | 12.9282i | −0.144589 | + | 0.539613i | ||||
\(575\) | −1.33013 | + | 0.160254i | −0.0554701 | + | 0.00668306i | ||||
\(576\) | 2.59808 | + | 1.50000i | 0.108253 | + | 0.0625000i | ||||
\(577\) | −37.1769 | − | 21.4641i | −1.54770 | − | 0.893562i | −0.998317 | − | 0.0579883i | \(-0.981531\pi\) |
−0.549378 | − | 0.835574i | \(-0.685135\pi\) | |||||||
\(578\) | 16.4641 | 0.684816 | ||||||||
\(579\) | 52.5167 | + | 14.0718i | 2.18252 | + | 0.584804i | ||||
\(580\) | −4.53590 | − | 0.928203i | −0.188343 | − | 0.0385415i | ||||
\(581\) | 8.00000 | 0.331896 | ||||||||
\(582\) | 16.3923 | + | 16.3923i | 0.679483 | + | 0.679483i | ||||
\(583\) | 1.06476 | + | 3.97372i | 0.0440977 | + | 0.164575i | ||||
\(584\) | 5.92820 | − | 5.92820i | 0.245311 | − | 0.245311i | ||||
\(585\) | 1.50000 | + | 24.9904i | 0.0620174 | + | 1.03323i | ||||
\(586\) | 8.36603 | + | 8.36603i | 0.345597 | + | 0.345597i | ||||
\(587\) | 10.1699 | + | 17.6147i | 0.419756 | + | 0.727038i | 0.995915 | − | 0.0902996i | \(-0.0287825\pi\) |
−0.576159 | + | 0.817338i | \(0.695449\pi\) | |||||||
\(588\) | −3.16987 | + | 11.8301i | −0.130723 | + | 0.487866i | ||||
\(589\) | −3.92820 | + | 2.26795i | −0.161859 | + | 0.0934492i | ||||
\(590\) | 2.13397 | − | 10.4282i | 0.0878543 | − | 0.429322i | ||||
\(591\) | 43.1769i | 1.77606i | ||||||||
\(592\) | −5.50000 | − | 2.59808i | −0.226049 | − | 0.106780i | ||||
\(593\) | −30.7846 | − | 30.7846i | −1.26417 | − | 1.26417i | −0.949052 | − | 0.315121i | \(-0.897955\pi\) |
−0.315121 | − | 0.949052i | \(-0.602045\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.73205 | + | 1.53590i | 0.0710072 | + | 0.0629657i | ||||
\(596\) | 12.5885 | − | 7.26795i | 0.515643 | − | 0.297707i | ||||
\(597\) | 32.7846 | − | 18.9282i | 1.34178 | − | 0.774680i | ||||
\(598\) | 1.00000 | 0.0408930 | ||||||||
\(599\) | −6.58846 | + | 3.80385i | −0.269197 | + | 0.155421i | −0.628523 | − | 0.777791i | \(-0.716340\pi\) |
0.359326 | + | 0.933212i | \(0.383007\pi\) | |||||||
\(600\) | 12.1244 | + | 1.73205i | 0.494975 | + | 0.0707107i | ||||
\(601\) | −0.303848 | + | 0.526279i | −0.0123942 | + | 0.0214674i | −0.872156 | − | 0.489228i | \(-0.837279\pi\) |
0.859762 | + | 0.510695i | \(0.170612\pi\) | |||||||
\(602\) | 4.00000 | − | 4.00000i | 0.163028 | − | 0.163028i | ||||
\(603\) | 23.1962 | − | 23.1962i | 0.944620 | − | 0.944620i | ||||
\(604\) | 5.83013 | + | 3.36603i | 0.237225 | + | 0.136962i | ||||
\(605\) | 24.0718 | − | 1.44486i | 0.978658 | − | 0.0587421i | ||||
\(606\) | −21.4641 | − | 21.4641i | −0.871920 | − | 0.871920i | ||||
\(607\) | 1.73205 | − | 3.00000i | 0.0703018 | − | 0.121766i | −0.828732 | − | 0.559646i | \(-0.810937\pi\) |
0.899034 | + | 0.437880i | \(0.144270\pi\) | |||||||
\(608\) | −0.500000 | + | 0.133975i | −0.0202777 | + | 0.00543339i | ||||
\(609\) | −6.92820 | + | 1.85641i | −0.280745 | + | 0.0752254i | ||||
\(610\) | −3.63397 | − | 3.22243i | −0.147135 | − | 0.130472i | ||||
\(611\) | 10.6962 | + | 2.86603i | 0.432720 | + | 0.115947i | ||||
\(612\) | −1.09808 | + | 1.90192i | −0.0443871 | + | 0.0768807i | ||||
\(613\) | −4.86603 | − | 18.1603i | −0.196537 | − | 0.733486i | −0.991864 | − | 0.127305i | \(-0.959367\pi\) |
0.795327 | − | 0.606181i | \(-0.207299\pi\) | |||||||
\(614\) | −2.36603 | + | 0.633975i | −0.0954850 | + | 0.0255851i | ||||
\(615\) | −49.1769 | + | 16.3923i | −1.98300 | + | 0.661002i | ||||
\(616\) | −0.169873 | + | 0.633975i | −0.00684438 | + | 0.0255436i | ||||
\(617\) | −2.53590 | + | 0.679492i | −0.102091 | + | 0.0273553i | −0.309503 | − | 0.950898i | \(-0.600163\pi\) |
0.207412 | + | 0.978254i | \(0.433496\pi\) | |||||||
\(618\) | 30.1244 | + | 30.1244i | 1.21178 | + | 1.21178i | ||||
\(619\) | −41.3205 | −1.66081 | −0.830406 | − | 0.557159i | \(-0.811891\pi\) | ||||
−0.830406 | + | 0.557159i | \(0.811891\pi\) | |||||||
\(620\) | −3.92820 | + | 19.1962i | −0.157760 | + | 0.770936i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.0980762 | − | 0.366025i | 0.00393250 | − | 0.0146763i | ||||
\(623\) | 20.7321i | 0.830612i | ||||||||
\(624\) | −8.83013 | − | 2.36603i | −0.353488 | − | 0.0947168i | ||||
\(625\) | 24.2846 | − | 5.93782i | 0.971384 | − | 0.237513i | ||||
\(626\) | 0.0717968 | + | 0.124356i | 0.00286958 | + | 0.00497025i | ||||
\(627\) | −0.509619 | − | 0.294229i | −0.0203522 | − | 0.0117504i | ||||
\(628\) | 14.2942 | − | 14.2942i | 0.570402 | − | 0.570402i | ||||
\(629\) | 1.90192 | − | 4.02628i | 0.0758347 | − | 0.160538i | ||||
\(630\) | 9.00000 | − | 3.00000i | 0.358569 | − | 0.119523i | ||||
\(631\) | 15.8301 | − | 4.24167i | 0.630187 | − | 0.168858i | 0.0704327 | − | 0.997517i | \(-0.477562\pi\) |
0.559755 | + | 0.828658i | \(0.310895\pi\) | |||||||
\(632\) | −0.928203 | + | 3.46410i | −0.0369219 | + | 0.137795i | ||||
\(633\) | −2.02628 | − | 0.542940i | −0.0805374 | − | 0.0215799i | ||||
\(634\) | 6.03590 | − | 22.5263i | 0.239716 | − | 0.894633i | ||||
\(635\) | −11.2942 | − | 33.8827i | −0.448198 | − | 1.34459i | ||||
\(636\) | 10.8564 | + | 18.8038i | 0.430485 | + | 0.745621i | ||||
\(637\) | − | 18.6603i | − | 0.739346i | ||||||
\(638\) | 0.928203 | − | 0.248711i | 0.0367479 | − | 0.00984657i | ||||
\(639\) | 18.0000i | 0.712069i | ||||||||
\(640\) | −1.00000 | + | 2.00000i | −0.0395285 | + | 0.0790569i | ||||
\(641\) | 16.1603 | − | 27.9904i | 0.638292 | − | 1.10555i | −0.347516 | − | 0.937674i | \(-0.612975\pi\) |
0.985808 | − | 0.167879i | \(-0.0536919\pi\) | |||||||
\(642\) | −22.3923 | + | 12.9282i | −0.883754 | + | 0.510235i | ||||
\(643\) | − | 46.2487i | − | 1.82387i | −0.410333 | − | 0.911936i | \(-0.634588\pi\) | ||
0.410333 | − | 0.911936i | \(-0.365412\pi\) | |||||||
\(644\) | −0.0980762 | − | 0.366025i | −0.00386474 | − | 0.0144234i | ||||
\(645\) | 21.4641 | + | 4.39230i | 0.845148 | + | 0.172947i | ||||
\(646\) | −0.0980762 | − | 0.366025i | −0.00385876 | − | 0.0144011i | ||||
\(647\) | 9.08846 | + | 15.7417i | 0.357304 | + | 0.618869i | 0.987509 | − | 0.157560i | \(-0.0503626\pi\) |
−0.630205 | + | 0.776428i | \(0.717029\pi\) | |||||||
\(648\) | −4.50000 | − | 7.79423i | −0.176777 | − | 0.306186i | ||||
\(649\) | 0.571797 | + | 2.13397i | 0.0224450 | + | 0.0837658i | ||||
\(650\) | −18.5263 | + | 2.23205i | −0.726660 | + | 0.0875482i | ||||
\(651\) | 7.85641 | + | 29.3205i | 0.307917 | + | 1.14916i | ||||
\(652\) | − | 4.73205i | − | 0.185321i | ||||||
\(653\) | 1.45448 | − | 0.839746i | 0.0569183 | − | 0.0328618i | −0.471271 | − | 0.881989i | \(-0.656205\pi\) |
0.528189 | + | 0.849127i | \(0.322871\pi\) | |||||||
\(654\) | 7.39230 | − | 12.8038i | 0.289062 | − | 0.500670i | ||||
\(655\) | −11.7846 | + | 3.92820i | −0.460463 | + | 0.153488i | ||||
\(656\) | − | 9.46410i | − | 0.369511i | ||||||
\(657\) | 24.2942 | − | 6.50962i | 0.947808 | − | 0.253964i | ||||
\(658\) | − | 4.19615i | − | 0.163583i | ||||||
\(659\) | −5.79423 | − | 10.0359i | −0.225711 | − | 0.390943i | 0.730821 | − | 0.682569i | \(-0.239137\pi\) |
−0.956533 | + | 0.291626i | \(0.905804\pi\) | |||||||
\(660\) | −2.41154 | + | 0.803848i | −0.0938692 | + | 0.0312897i | ||||
\(661\) | 9.29423 | − | 34.6865i | 0.361504 | − | 1.34915i | −0.510596 | − | 0.859821i | \(-0.670575\pi\) |
0.872099 | − | 0.489329i | \(-0.162758\pi\) | |||||||
\(662\) | −4.96410 | − | 1.33013i | −0.192935 | − | 0.0516969i | ||||
\(663\) | 1.73205 | − | 6.46410i | 0.0672673 | − | 0.251045i | ||||
\(664\) | −5.46410 | + | 1.46410i | −0.212048 | + | 0.0568182i | ||||
\(665\) | −0.732051 | + | 1.46410i | −0.0283877 | + | 0.0567754i | ||||
\(666\) | −10.3923 | − | 15.0000i | −0.402694 | − | 0.581238i | ||||
\(667\) | −0.392305 | + | 0.392305i | −0.0151901 | + | 0.0151901i | ||||
\(668\) | −13.8564 | − | 8.00000i | −0.536120 | − | 0.309529i | ||||
\(669\) | 19.6865 | + | 34.0981i | 0.761125 | + | 1.31831i | ||||
\(670\) | 18.2942 | + | 16.2224i | 0.706768 | + | 0.626727i | ||||
\(671\) | 0.973721 | + | 0.260908i | 0.0375901 | + | 0.0100722i | ||||
\(672\) | 3.46410i | 0.133631i | ||||||||
\(673\) | −8.07180 | + | 30.1244i | −0.311145 | + | 1.16121i | 0.616381 | + | 0.787448i | \(0.288598\pi\) |
−0.927525 | + | 0.373760i | \(0.878068\pi\) | |||||||
\(674\) | 1.85641 | + | 1.85641i | 0.0715061 | + | 0.0715061i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.928203 | 0.0357001 | ||||||||
\(677\) | 14.4378 | + | 14.4378i | 0.554891 | + | 0.554891i | 0.927848 | − | 0.372958i | \(-0.121656\pi\) |
−0.372958 | + | 0.927848i | \(0.621656\pi\) | |||||||
\(678\) | −14.6603 | + | 3.92820i | −0.563024 | + | 0.150862i | ||||
\(679\) | −3.46410 | + | 12.9282i | −0.132940 | + | 0.496139i | ||||
\(680\) | −1.46410 | − | 0.732051i | −0.0561457 | − | 0.0280729i | ||||
\(681\) | −68.5692 | + | 18.3731i | −2.62758 | + | 0.704057i | ||||
\(682\) | −1.05256 | − | 3.92820i | −0.0403046 | − | 0.150419i | ||||
\(683\) | −0.803848 | + | 1.39230i | −0.0307584 | + | 0.0532751i | −0.880995 | − | 0.473126i | \(-0.843126\pi\) |
0.850236 | + | 0.526401i | \(0.176459\pi\) | |||||||
\(684\) | −1.50000 | − | 0.401924i | −0.0573539 | − | 0.0153679i | ||||
\(685\) | −13.0000 | + | 14.6603i | −0.496704 | + | 0.560140i | ||||
\(686\) | −16.3923 | + | 4.39230i | −0.625861 | + | 0.167699i | ||||
\(687\) | 29.6603 | − | 7.94744i | 1.13161 | − | 0.303214i | ||||
\(688\) | −2.00000 | + | 3.46410i | −0.0762493 | + | 0.132068i | ||||
\(689\) | −23.3923 | − | 23.3923i | −0.891176 | − | 0.891176i | ||||
\(690\) | 0.973721 | − | 1.09808i | 0.0370689 | − | 0.0418030i | ||||
\(691\) | −41.6603 | − | 24.0526i | −1.58483 | − | 0.915002i | −0.994140 | − | 0.108105i | \(-0.965522\pi\) |
−0.590691 | − | 0.806898i | \(-0.701145\pi\) | |||||||
\(692\) | 15.9545 | − | 15.9545i | 0.606498 | − | 0.606498i | ||||
\(693\) | −1.39230 | + | 1.39230i | −0.0528893 | + | 0.0528893i | ||||
\(694\) | 4.56218 | − | 7.90192i | 0.173178 | − | 0.299953i | ||||
\(695\) | −8.26795 | + | 16.5359i | −0.313621 | + | 0.627242i | ||||
\(696\) | 4.39230 | − | 2.53590i | 0.166490 | − | 0.0961230i | ||||
\(697\) | 6.92820 | 0.262424 | ||||||||
\(698\) | −15.9282 | + | 9.19615i | −0.602891 | + | 0.348080i | ||||
\(699\) | −9.58846 | + | 5.53590i | −0.362669 | + | 0.209387i | ||||
\(700\) | 2.63397 | + | 6.56218i | 0.0995549 | + | 0.248027i | ||||
\(701\) | −3.68653 | − | 13.7583i | −0.139238 | − | 0.519645i | −0.999944 | − | 0.0105426i | \(-0.996644\pi\) |
0.860706 | − | 0.509102i | \(-0.170023\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.09808 | + | 0.562178i | 0.116846 | + | 0.0212029i | ||||
\(704\) | − | 0.464102i | − | 0.0174915i | ||||||
\(705\) | 13.5622 | − | 8.95448i | 0.510781 | − | 0.337245i | ||||
\(706\) | −11.4904 | + | 6.63397i | −0.432446 | + | 0.249673i | ||||
\(707\) | 4.53590 | − | 16.9282i | 0.170590 | − | 0.636651i | ||||
\(708\) | 5.83013 | + | 10.0981i | 0.219110 | + | 0.379509i | ||||
\(709\) | −20.1962 | − | 20.1962i | −0.758482 | − | 0.758482i | 0.217564 | − | 0.976046i | \(-0.430189\pi\) |
−0.976046 | + | 0.217564i | \(0.930189\pi\) | |||||||
\(710\) | −13.3923 | + | 0.803848i | −0.502604 | + | 0.0301679i | ||||
\(711\) | −7.60770 | + | 7.60770i | −0.285311 | + | 0.285311i | ||||
\(712\) | −3.79423 | − | 14.1603i | −0.142195 | − | 0.530678i | ||||
\(713\) | 1.66025 | + | 1.66025i | 0.0621770 | + | 0.0621770i | ||||
\(714\) | −2.53590 | −0.0949036 | ||||||||
\(715\) | 3.23205 | − | 2.13397i | 0.120872 | − | 0.0798061i | ||||
\(716\) | −17.1603 | − | 4.59808i | −0.641309 | − | 0.171838i | ||||
\(717\) | −62.1051 | −2.31936 | ||||||||
\(718\) | 2.70577 | + | 1.56218i | 0.100978 | + | 0.0583000i | ||||
\(719\) | 10.2679 | + | 5.92820i | 0.382930 | + | 0.221085i | 0.679092 | − | 0.734053i | \(-0.262374\pi\) |
−0.296162 | + | 0.955138i | \(0.595707\pi\) | |||||||
\(720\) | −5.59808 | + | 3.69615i | −0.208628 | + | 0.137747i | ||||
\(721\) | −6.36603 | + | 23.7583i | −0.237083 | + | 0.884806i | ||||
\(722\) | −16.2224 | + | 9.36603i | −0.603736 | + | 0.348567i | ||||
\(723\) | −19.6865 | − | 11.3660i | −0.732150 | − | 0.422707i | ||||
\(724\) | 6.02628 | − | 10.4378i | 0.223965 | − | 0.387919i | ||||
\(725\) | 6.39230 | − | 8.14359i | 0.237404 | − | 0.302445i | ||||
\(726\) | −18.6795 | + | 18.6795i | −0.693261 | + | 0.693261i | ||||
\(727\) | 8.79423 | + | 15.2321i | 0.326160 | + | 0.564925i | 0.981746 | − | 0.190195i | \(-0.0609119\pi\) |
−0.655587 | + | 0.755120i | \(0.727579\pi\) | |||||||
\(728\) | −1.36603 | − | 5.09808i | −0.0506283 | − | 0.188947i | ||||
\(729\) | − | 27.0000i | − | 1.00000i | ||||||
\(730\) | 5.92820 | + | 17.7846i | 0.219413 | + | 0.658238i | ||||
\(731\) | −2.53590 | − | 1.46410i | −0.0937936 | − | 0.0541518i | ||||
\(732\) | 5.32051 | 0.196652 | ||||||||
\(733\) | −12.6962 | − | 3.40192i | −0.468943 | − | 0.125653i | 0.0166064 | − | 0.999862i | \(-0.494714\pi\) |
−0.485549 | + | 0.874209i | \(0.661380\pi\) | |||||||
\(734\) | 10.4378 | − | 10.4378i | 0.385267 | − | 0.385267i | ||||
\(735\) | −20.4904 | − | 18.1699i | −0.755799 | − | 0.670206i | ||||
\(736\) | 0.133975 | + | 0.232051i | 0.00493837 | + | 0.00855351i | ||||
\(737\) | −4.90192 | − | 1.31347i | −0.180565 | − | 0.0483822i | ||||
\(738\) | 14.1962 | − | 24.5885i | 0.522568 | − | 0.905114i | ||||
\(739\) | 47.7321 | 1.75585 | 0.877926 | − | 0.478796i | \(-0.158927\pi\) | ||||
0.877926 | + | 0.478796i | \(0.158927\pi\) | |||||||
\(740\) | 10.6962 | − | 8.40192i | 0.393198 | − | 0.308861i | ||||
\(741\) | 4.73205 | 0.173836 | ||||||||
\(742\) | −6.26795 | + | 10.8564i | −0.230104 | + | 0.398551i | ||||
\(743\) | −21.4282 | − | 5.74167i | −0.786125 | − | 0.210641i | −0.156641 | − | 0.987656i | \(-0.550067\pi\) |
−0.629483 | + | 0.777014i | \(0.716733\pi\) | |||||||
\(744\) | −10.7321 | − | 18.5885i | −0.393456 | − | 0.681486i | ||||
\(745\) | 1.94744 | + | 32.4449i | 0.0713487 | + | 1.18869i | ||||
\(746\) | 1.29423 | − | 1.29423i | 0.0473851 | − | 0.0473851i | ||||
\(747\) | −16.3923 | − | 4.39230i | −0.599763 | − | 0.160706i | ||||
\(748\) | 0.339746 | 0.0124223 | ||||||||
\(749\) | −12.9282 | − | 7.46410i | −0.472386 | − | 0.272732i | ||||
\(750\) | −15.5885 | + | 22.5167i | −0.569210 | + | 0.822192i | ||||
\(751\) | 45.1769i | 1.64853i | 0.566205 | + | 0.824265i | \(0.308411\pi\) | ||||
−0.566205 | + | 0.824265i | \(0.691589\pi\) | |||||||
\(752\) | 0.767949 | + | 2.86603i | 0.0280042 | + | 0.104513i | ||||
\(753\) | −20.9545 | − | 36.2942i | −0.763624 | − | 1.32264i | ||||
\(754\) | −5.46410 | + | 5.46410i | −0.198991 | + | 0.198991i | ||||
\(755\) | −12.5622 | + | 8.29423i | −0.457184 | + | 0.301858i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.0429 | + | 20.2321i | 1.27366 | + | 0.735346i | 0.975674 | − | 0.219225i | \(-0.0703528\pi\) |
0.297983 | + | 0.954571i | \(0.403686\pi\) | |||||||
\(758\) | −8.87564 | + | 5.12436i | −0.322378 | + | 0.186125i | ||||
\(759\) | −0.0788383 | + | 0.294229i | −0.00286165 | + | 0.0106798i | ||||
\(760\) | 0.232051 | − | 1.13397i | 0.00841737 | − | 0.0411336i | ||||
\(761\) | 7.50000 | + | 4.33013i | 0.271875 | + | 0.156967i | 0.629739 | − | 0.776807i | \(-0.283162\pi\) |
−0.357865 | + | 0.933774i | \(0.616495\pi\) | |||||||
\(762\) | 33.8827 | + | 19.5622i | 1.22744 | + | 0.708663i | ||||
\(763\) | 8.53590 | 0.309020 | ||||||||
\(764\) | 22.1244 | + | 5.92820i | 0.800431 | + | 0.214475i | ||||
\(765\) | −2.70577 | − | 4.09808i | −0.0978274 | − | 0.148166i | ||||
\(766\) | −20.6603 | −0.746485 | ||||||||
\(767\) | −12.5622 | − | 12.5622i | −0.453594 | − | 0.453594i | ||||
\(768\) | −0.633975 | − | 2.36603i | −0.0228766 | − | 0.0853766i | ||||
\(769\) | 3.58846 | − | 3.58846i | 0.129403 | − | 0.129403i | −0.639439 | − | 0.768842i | \(-0.720833\pi\) |
0.768842 | + | 0.639439i | \(0.220833\pi\) | |||||||
\(770\) | −1.09808 | − | 0.973721i | −0.0395719 | − | 0.0350905i | ||||
\(771\) | 26.1962 | + | 26.1962i | 0.943431 | + | 0.943431i | ||||
\(772\) | −11.0981 | − | 19.2224i | −0.399429 | − | 0.691830i | ||||
\(773\) | 8.55256 | − | 31.9186i | 0.307614 | − | 1.14803i | −0.623057 | − | 0.782176i | \(-0.714110\pi\) |
0.930672 | − | 0.365856i | \(-0.119224\pi\) | |||||||
\(774\) | −10.3923 | + | 6.00000i | −0.373544 | + | 0.215666i | ||||
\(775\) | −34.4641 | − | 27.0526i | −1.23799 | − | 0.971757i | ||||
\(776\) | − | 9.46410i | − | 0.339741i | ||||||
\(777\) | 9.00000 | − | 19.0526i | 0.322873 | − | 0.683507i | ||||
\(778\) | 10.9282 | + | 10.9282i | 0.391795 | + | 0.391795i | ||||
\(779\) | 1.26795 | + | 4.73205i | 0.0454290 | + | 0.169543i | ||||
\(780\) | 13.5622 | − | 15.2942i | 0.485604 | − | 0.547621i | ||||
\(781\) | 2.41154 | − | 1.39230i | 0.0862918 | − | 0.0498206i | ||||
\(782\) | −0.169873 | + | 0.0980762i | −0.00607465 | + | 0.00350720i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.33013 | − | 2.50000i | 0.154647 | − | 0.0892857i | ||||
\(785\) | 14.2942 | + | 42.8827i | 0.510183 | + | 1.53055i | ||||
\(786\) | 6.80385 | − | 11.7846i | 0.242685 | − | 0.420343i | ||||
\(787\) | 21.9282 | − | 21.9282i | 0.781656 | − | 0.781656i | −0.198454 | − | 0.980110i | \(-0.563592\pi\) |
0.980110 | + | 0.198454i | \(0.0635921\pi\) | |||||||
\(788\) | 12.4641 | − | 12.4641i | 0.444015 | − | 0.444015i | ||||
\(789\) | 5.49038 | + | 3.16987i | 0.195463 | + | 0.112850i | ||||
\(790\) | −6.00000 | − | 5.32051i | −0.213470 | − | 0.189295i | ||||
\(791\) | −6.19615 | − | 6.19615i | −0.220310 | − | 0.220310i | ||||
\(792\) | 0.696152 | − | 1.20577i | 0.0247367 | − | 0.0428452i | ||||
\(793\) | −7.83013 | + | 2.09808i | −0.278056 | + | 0.0745049i | ||||
\(794\) | 16.2583 | − | 4.35641i | 0.576987 | − | 0.154603i | ||||
\(795\) | −48.4641 | + | 2.90897i | −1.71884 | + | 0.103170i | ||||
\(796\) | −14.9282 | − | 4.00000i | −0.529116 | − | 0.141776i | ||||
\(797\) | −4.30385 | + | 7.45448i | −0.152450 | + | 0.264051i | −0.932128 | − | 0.362130i | \(-0.882050\pi\) |
0.779678 | + | 0.626181i | \(0.215383\pi\) | |||||||
\(798\) | −0.464102 | − | 1.73205i | −0.0164290 | − | 0.0613139i | ||||
\(799\) | −2.09808 | + | 0.562178i | −0.0742246 | + | 0.0198884i | ||||
\(800\) | −3.00000 | − | 4.00000i | −0.106066 | − | 0.141421i | ||||
\(801\) | 11.3827 | − | 42.4808i | 0.402187 | − | 1.50098i | ||||
\(802\) | −19.8923 | + | 5.33013i | −0.702422 | + | 0.188213i | ||||
\(803\) | −2.75129 | − | 2.75129i | −0.0970909 | − | 0.0970909i | ||||
\(804\) | −26.7846 | −0.944620 | ||||||||
\(805\) | 0.830127 | + | 0.169873i | 0.0292581 | + | 0.00598724i | ||||
\(806\) | 23.1244 | + | 23.1244i | 0.814521 | + | 0.814521i | ||||
\(807\) | 5.87564 | − | 21.9282i | 0.206832 | − | 0.771909i | ||||
\(808\) | 12.3923i | 0.435960i | ||||||||
\(809\) | 30.2583 | + | 8.10770i | 1.06383 | + | 0.285051i | 0.747954 | − | 0.663750i | \(-0.231036\pi\) |
0.315872 | + | 0.948802i | \(0.397703\pi\) | |||||||
\(810\) | 20.0885 | − | 1.20577i | 0.705836 | − | 0.0423665i | ||||
\(811\) | −14.9378 | − | 25.8731i | −0.524538 | − | 0.908526i | −0.999592 | − | 0.0285696i | \(-0.990905\pi\) |
0.475054 | − | 0.879957i | \(-0.342429\pi\) | |||||||
\(812\) | 2.53590 | + | 1.46410i | 0.0889926 | + | 0.0513799i | ||||
\(813\) | −51.4641 | + | 51.4641i | −1.80492 | + | 1.80492i | ||||
\(814\) | −1.20577 | + | 2.55256i | −0.0422623 | + | 0.0894671i | ||||
\(815\) | 9.46410 | + | 4.73205i | 0.331513 | + | 0.165757i | ||||
\(816\) | 1.73205 | − | 0.464102i | 0.0606339 | − | 0.0162468i | ||||
\(817\) | 0.535898 | − | 2.00000i | 0.0187487 | − | 0.0699711i | ||||
\(818\) | 9.09808 | + | 2.43782i | 0.318107 | + | 0.0852365i | ||||
\(819\) | 4.09808 | − | 15.2942i | 0.143198 | − | 0.534424i | ||||
\(820\) | 18.9282 | + | 9.46410i | 0.661002 | + | 0.330501i | ||||
\(821\) | −14.6603 | − | 25.3923i | −0.511646 | − | 0.886198i | −0.999909 | − | 0.0135007i | \(-0.995702\pi\) |
0.488262 | − | 0.872697i | \(-0.337631\pi\) | |||||||
\(822\) | − | 21.4641i | − | 0.748647i | ||||||
\(823\) | −8.90192 | + | 2.38526i | −0.310302 | + | 0.0831451i | −0.410609 | − | 0.911811i | \(-0.634684\pi\) |
0.100308 | + | 0.994956i | \(0.468017\pi\) | |||||||
\(824\) | − | 17.3923i | − | 0.605890i | ||||||
\(825\) | 0.803848 | − | 5.62693i | 0.0279864 | − | 0.195905i | ||||
\(826\) | −3.36603 | + | 5.83013i | −0.117119 | + | 0.202856i | ||||
\(827\) | −20.8301 | + | 12.0263i | −0.724334 | + | 0.418195i | −0.816346 | − | 0.577563i | \(-0.804004\pi\) |
0.0920115 | + | 0.995758i | \(0.470670\pi\) | |||||||
\(828\) | 0.803848i | 0.0279356i | ||||||||
\(829\) | −10.8301 | − | 40.4186i | −0.376146 | − | 1.40380i | −0.851663 | − | 0.524089i | \(-0.824406\pi\) |
0.475518 | − | 0.879706i | \(-0.342261\pi\) | |||||||
\(830\) | 2.53590 | − | 12.3923i | 0.0880223 | − | 0.430143i | ||||
\(831\) | 9.21539 | + | 34.3923i | 0.319678 | + | 1.19306i | ||||
\(832\) | 1.86603 | + | 3.23205i | 0.0646928 | + | 0.112051i | ||||
\(833\) | 1.83013 | + | 3.16987i | 0.0634101 | + | 0.109830i | ||||
\(834\) | −5.24167 | − | 19.5622i | −0.181504 | − | 0.677383i | ||||
\(835\) | 29.8564 | − | 19.7128i | 1.03322 | − | 0.682190i | ||||
\(836\) | 0.0621778 | + | 0.232051i | 0.00215047 | + | 0.00802564i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −23.0885 | + | 13.3301i | −0.797578 | + | 0.460482i | ||||
\(839\) | 11.8301 | − | 20.4904i | 0.408421 | − | 0.707407i | −0.586292 | − | 0.810100i | \(-0.699413\pi\) |
0.994713 | + | 0.102694i | \(0.0327461\pi\) | |||||||
\(840\) | −6.92820 | − | 3.46410i | −0.239046 | − | 0.119523i | ||||
\(841\) | 24.7128i | 0.852166i | ||||||||
\(842\) | −26.3923 | + | 7.07180i | −0.909539 | + | 0.243710i | ||||
\(843\) | − | 61.5167i | − | 2.11875i | ||||||
\(844\) | 0.428203 | + | 0.741670i | 0.0147394 | + | 0.0255293i | ||||
\(845\) | −0.928203 | + | 1.85641i | −0.0319312 | + | 0.0638623i | ||||
\(846\) | −2.30385 | + | 8.59808i | −0.0792079 | + | 0.295608i | ||||
\(847\) | −14.7321 | − | 3.94744i | −0.506199 | − | 0.135636i | ||||
\(848\) | 2.29423 | − | 8.56218i | 0.0787841 | − | 0.294026i | ||||
\(849\) | 33.5885 | − | 9.00000i | 1.15275 | − | 0.308879i | ||||
\(850\) | 2.92820 | − | 2.19615i | 0.100437 | − | 0.0753274i | ||||
\(851\) | −0.133975 | − | 1.62436i | −0.00459259 | − | 0.0556822i | ||||
\(852\) | 10.3923 | − | 10.3923i | 0.356034 | − | 0.356034i | ||||
\(853\) | −7.45448 | − | 4.30385i | −0.255237 | − | 0.147361i | 0.366923 | − | 0.930251i | \(-0.380411\pi\) |
−0.622160 | + | 0.782890i | \(0.713745\pi\) | |||||||
\(854\) | 1.53590 | + | 2.66025i | 0.0525574 | + | 0.0910320i | ||||
\(855\) | 2.30385 | − | 2.59808i | 0.0787899 | − | 0.0888523i | ||||
\(856\) | 10.1962 | + | 2.73205i | 0.348497 | + | 0.0933796i | ||||
\(857\) | − | 23.0718i | − | 0.788118i | −0.919085 | − | 0.394059i | \(-0.871071\pi\) | ||
0.919085 | − | 0.394059i | \(-0.128929\pi\) | |||||||
\(858\) | −1.09808 | + | 4.09808i | −0.0374877 | + | 0.139906i | ||||
\(859\) | −1.31347 | − | 1.31347i | −0.0448149 | − | 0.0448149i | 0.684344 | − | 0.729159i | \(-0.260089\pi\) |
−0.729159 | + | 0.684344i | \(0.760089\pi\) | |||||||
\(860\) | −4.92820 | − | 7.46410i | −0.168050 | − | 0.254524i | ||||
\(861\) | 32.7846 | 1.11730 | ||||||||
\(862\) | 19.7846 | + | 19.7846i | 0.673866 | + | 0.673866i | ||||
\(863\) | −48.7487 | + | 13.0622i | −1.65943 | + | 0.444642i | −0.962230 | − | 0.272239i | \(-0.912236\pi\) |
−0.697196 | + | 0.716881i | \(0.745569\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.9545 | + | 47.8634i | 0.542469 | + | 1.62741i | ||||
\(866\) | −38.9545 | + | 10.4378i | −1.32373 | + | 0.354692i | ||||
\(867\) | −10.4378 | − | 38.9545i | −0.354487 | − | 1.32296i | ||||
\(868\) | 6.19615 | − | 10.7321i | 0.210311 | − | 0.364270i | ||||
\(869\) | 1.60770 | + | 0.430781i | 0.0545373 | + | 0.0146132i | ||||
\(870\) | 0.679492 | + | 11.3205i | 0.0230369 | + | 0.383801i | ||||
\(871\) | 39.4186 | − | 10.5622i | 1.33565 | − | 0.357886i | ||||
\(872\) | −5.83013 | + | 1.56218i | −0.197433 | + | 0.0529020i | ||||
\(873\) | 14.1962 | − | 24.5885i | 0.480467 | − | 0.832193i | ||||
\(874\) | −0.0980762 | − | 0.0980762i | −0.00331748 | − | 0.00331748i | ||||
\(875\) | −15.7583 | − | 1.29423i | −0.532729 | − | 0.0437529i | ||||
\(876\) | −17.7846 | − | 10.2679i | −0.600886 | − | 0.346922i | ||||
\(877\) | 12.2224 | − | 12.2224i | 0.412722 | − | 0.412722i | −0.469964 | − | 0.882686i | \(-0.655733\pi\) |
0.882686 | + | 0.469964i | \(0.155733\pi\) | |||||||
\(878\) | −4.66025 | + | 4.66025i | −0.157276 | + | 0.157276i | ||||
\(879\) | 14.4904 | − | 25.0981i | 0.488748 | − | 0.846537i | ||||
\(880\) | 0.928203 | + | 0.464102i | 0.0312897 | + | 0.0156449i | ||||
\(881\) | −31.5788 | + | 18.2321i | −1.06392 | + | 0.614253i | −0.926513 | − | 0.376262i | \(-0.877209\pi\) |
−0.137405 | + | 0.990515i | \(0.543876\pi\) | |||||||
\(882\) | 15.0000 | 0.505076 | ||||||||
\(883\) | −10.9808 | + | 6.33975i | −0.369532 | + | 0.213349i | −0.673254 | − | 0.739411i | \(-0.735104\pi\) |
0.303722 | + | 0.952761i | \(0.401771\pi\) | |||||||
\(884\) | −2.36603 | + | 1.36603i | −0.0795780 | + | 0.0459444i | ||||
\(885\) | −26.0263 | + | 1.56218i | −0.874864 | + | 0.0525120i | ||||
\(886\) | −3.60770 | − | 13.4641i | −0.121203 | − | 0.452335i | ||||
\(887\) | 33.1962 | + | 33.1962i | 1.11462 | + | 1.11462i | 0.992518 | + | 0.122100i | \(0.0389628\pi\) |
0.122100 | + | 0.992518i | \(0.461037\pi\) | |||||||
\(888\) | −2.66025 | + | 14.6603i | −0.0892723 | + | 0.491966i | ||||
\(889\) | 22.5885i | 0.757593i | ||||||||
\(890\) | 32.1147 | + | 6.57180i | 1.07649 | + | 0.220287i | ||||
\(891\) | −3.61731 | + | 2.08846i | −0.121185 | + | 0.0699660i | ||||
\(892\) | 4.16025 | − | 15.5263i | 0.139296 | − | 0.519858i | ||||
\(893\) | −0.767949 | − | 1.33013i | −0.0256984 | − | 0.0445110i | ||||
\(894\) | −25.1769 | − | 25.1769i | −0.842042 | − | 0.842042i | ||||
\(895\) | 26.3564 | − | 29.7224i | 0.880998 | − | 0.993511i | ||||
\(896\) | 1.00000 | − | 1.00000i | 0.0334077 | − | 0.0334077i | ||||
\(897\) | −0.633975 | − | 2.36603i | −0.0211678 | − | 0.0789993i | ||||
\(898\) | 8.80385 | + | 8.80385i | 0.293788 | + | 0.293788i | ||||
\(899\) | −18.1436 | −0.605123 | ||||||||
\(900\) | −1.79423 | − | 14.8923i | −0.0598076 | − | 0.496410i | ||||
\(901\) | 6.26795 | + | 1.67949i | 0.208816 | + | 0.0559520i | ||||
\(902\) | −4.39230 | −0.146248 | ||||||||
\(903\) | −12.0000 | − | 6.92820i | −0.399335 | − | 0.230556i | ||||
\(904\) | 5.36603 | + | 3.09808i | 0.178471 | + | 0.103040i | ||||
\(905\) | 14.8494 | + | 22.4904i | 0.493610 | + | 0.747606i | ||||
\(906\) | 4.26795 | − | 15.9282i | 0.141793 | − | 0.529179i | ||||
\(907\) | −5.61474 | + | 3.24167i | −0.186434 | + | 0.107638i | −0.590312 | − | 0.807175i | \(-0.700995\pi\) |
0.403878 | + | 0.914813i | \(0.367662\pi\) | |||||||
\(908\) | 25.0981 | + | 14.4904i | 0.832909 | + | 0.480880i | ||||
\(909\) | −18.5885 | + | 32.1962i | −0.616540 | + | 1.06788i | ||||
\(910\) | 11.5622 | + | 2.36603i | 0.383282 | + | 0.0784330i | ||||
\(911\) | 15.5359 | − | 15.5359i | 0.514727 | − | 0.514727i | −0.401244 | − | 0.915971i | \(-0.631422\pi\) |
0.915971 | + | 0.401244i | \(0.131422\pi\) | |||||||
\(912\) | 0.633975 | + | 1.09808i | 0.0209930 | + | 0.0363609i | ||||
\(913\) | 0.679492 | + | 2.53590i | 0.0224879 | + | 0.0839260i | ||||
\(914\) | − | 1.46410i | − | 0.0484282i | ||||||
\(915\) | −5.32051 | + | 10.6410i | −0.175891 | + | 0.351781i | ||||
\(916\) | −10.8564 | − | 6.26795i | −0.358706 | − | 0.207099i | ||||
\(917\) | 7.85641 | 0.259441 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.33975 | + | 7.33975i | −0.242116 | + | 0.242116i | −0.817725 | − | 0.575609i | \(-0.804765\pi\) |
0.575609 | + | 0.817725i | \(0.304765\pi\) | |||||||
\(920\) | −0.598076 | + | 0.0358984i | −0.0197180 | + | 0.00118353i | ||||
\(921\) | 3.00000 | + | 5.19615i | 0.0988534 | + | 0.171219i | ||||
\(922\) | 22.0263 | + | 5.90192i | 0.725397 | + | 0.194370i | ||||
\(923\) | −11.1962 | + | 19.3923i | −0.368526 | + | 0.638305i | ||||
\(924\) | 1.60770 | 0.0528893 | ||||||||
\(925\) | 6.10770 | + | 29.7942i | 0.200820 | + | 0.979628i | ||||
\(926\) | 36.7846 | 1.20882 | ||||||||
\(927\) | 26.0885 | − | 45.1865i | 0.856857 | − | 1.48412i | ||||
\(928\) | −2.00000 | − | 0.535898i | −0.0656532 | − | 0.0175917i | ||||
\(929\) | −5.45448 | − | 9.44744i | −0.178956 | − | 0.309960i | 0.762567 | − | 0.646909i | \(-0.223939\pi\) |
−0.941523 | + | 0.336948i | \(0.890605\pi\) | |||||||
\(930\) | 47.9090 | − | 2.87564i | 1.57100 | − | 0.0942961i | ||||
\(931\) | −1.83013 | + | 1.83013i | −0.0599800 | + | 0.0599800i | ||||
\(932\) | 4.36603 | + | 1.16987i | 0.143014 | + | 0.0383205i | ||||
\(933\) | −0.928203 | −0.0303880 | ||||||||
\(934\) | −8.95448 | − | 5.16987i | −0.293000 | − | 0.169163i | ||||
\(935\) | −0.339746 | + | 0.679492i | −0.0111109 | + | 0.0222218i | ||||
\(936\) | 11.1962i | 0.365958i | ||||||||
\(937\) | −7.97372 | − | 29.7583i | −0.260490 | − | 0.972162i | −0.964953 | − | 0.262422i | \(-0.915479\pi\) |
0.704463 | − | 0.709741i | \(-0.251188\pi\) | |||||||
\(938\) | −7.73205 | − | 13.3923i | −0.252460 | − | 0.437274i | ||||
\(939\) | 0.248711 | − | 0.248711i | 0.00811639 | − | 0.00811639i | ||||
\(940\) | −6.50000 | − | 1.33013i | −0.212007 | − | 0.0433840i | ||||
\(941\) | 24.6603 | − | 42.7128i | 0.803901 | − | 1.39240i | −0.113129 | − | 0.993580i | \(-0.536087\pi\) |
0.917030 | − | 0.398818i | \(-0.130579\pi\) | |||||||
\(942\) | −42.8827 | − | 24.7583i | −1.39719 | − | 0.806670i | ||||
\(943\) | 2.19615 | − | 1.26795i | 0.0715166 | − | 0.0412901i | ||||
\(944\) | 1.23205 | − | 4.59808i | 0.0400998 | − | 0.149655i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.60770 | + | 0.928203i | 0.0522707 | + | 0.0301785i | ||||
\(947\) | −14.0263 | − | 8.09808i | −0.455793 | − | 0.263152i | 0.254481 | − | 0.967078i | \(-0.418095\pi\) |
−0.710274 | + | 0.703926i | \(0.751429\pi\) | |||||||
\(948\) | 8.78461 | 0.285311 | ||||||||
\(949\) | 30.2224 | + | 8.09808i | 0.981062 | + | 0.262875i | ||||
\(950\) | 2.03590 | + | 1.59808i | 0.0660533 | + | 0.0518484i | ||||
\(951\) | −57.1244 | −1.85238 | ||||||||
\(952\) | 0.732051 | + | 0.732051i | 0.0237259 | + | 0.0237259i | ||||
\(953\) | 1.60770 | + | 6.00000i | 0.0520784 | + | 0.194359i | 0.987064 | − | 0.160326i | \(-0.0512546\pi\) |
−0.934986 | + | 0.354685i | \(0.884588\pi\) | |||||||
\(954\) | 18.8038 | − | 18.8038i | 0.608797 | − | 0.608797i | ||||
\(955\) | −33.9808 | + | 38.3205i | −1.09959 | + | 1.24002i | ||||
\(956\) | 17.9282 | + | 17.9282i | 0.579840 | + | 0.579840i | ||||
\(957\) | −1.17691 | − | 2.03848i | −0.0380442 | − | 0.0658946i | ||||
\(958\) | 2.39230 | − | 8.92820i | 0.0772919 | − | 0.288457i | ||||
\(959\) | 10.7321 | − | 6.19615i | 0.346556 | − | 0.200084i | ||||
\(960\) | 5.36603 | + | 1.09808i | 0.173188 | + | 0.0354403i | ||||
\(961\) | 45.7846i | 1.47692i | ||||||||
\(962\) | −1.86603 | − | 22.6244i | −0.0601631 | − | 0.729439i | ||||
\(963\) | 22.3923 | + | 22.3923i | 0.721582 | + | 0.721582i | ||||
\(964\) | 2.40192 | + | 8.96410i | 0.0773608 | + | 0.288714i | ||||
\(965\) | 49.5429 | − | 2.97372i | 1.59484 | − | 0.0957275i | ||||
\(966\) | −0.803848 | + | 0.464102i | −0.0258634 | + | 0.0149322i | ||||
\(967\) | −35.0885 | + | 20.2583i | −1.12837 | + | 0.651464i | −0.943524 | − | 0.331304i | \(-0.892512\pi\) |
−0.184845 | + | 0.982768i | \(0.559178\pi\) | |||||||
\(968\) | 10.7846 | 0.346630 | ||||||||
\(969\) | −0.803848 | + | 0.464102i | −0.0258233 | + | 0.0149091i | ||||
\(970\) | 18.9282 | + | 9.46410i | 0.607748 | + | 0.303874i | ||||
\(971\) | 17.9641 | − | 31.1147i | 0.576495 | − | 0.998519i | −0.419382 | − | 0.907810i | \(-0.637753\pi\) |
0.995877 | − | 0.0907095i | \(-0.0289135\pi\) | |||||||
\(972\) | −15.5885 | + | 15.5885i | −0.500000 | + | 0.500000i | ||||
\(973\) | 8.26795 | − | 8.26795i | 0.265058 | − | 0.265058i | ||||
\(974\) | −9.33975 | − | 5.39230i | −0.299265 | − | 0.172781i | ||||
\(975\) | 17.0263 | + | 42.4186i | 0.545277 | + | 1.35848i | ||||
\(976\) | −1.53590 | − | 1.53590i | −0.0491629 | − | 0.0491629i | ||||
\(977\) | −25.0981 | + | 43.4711i | −0.802959 | + | 1.39077i | 0.114702 | + | 0.993400i | \(0.463409\pi\) |
−0.917661 | + | 0.397365i | \(0.869925\pi\) | |||||||
\(978\) | −11.1962 | + | 3.00000i | −0.358013 | + | 0.0959294i | ||||
\(979\) | −6.57180 | + | 1.76091i | −0.210036 | + | 0.0562789i | ||||
\(980\) | 0.669873 | + | 11.1603i | 0.0213983 | + | 0.356501i | ||||
\(981\) | −17.4904 | − | 4.68653i | −0.558425 | − | 0.149629i | ||||
\(982\) | −1.30385 | + | 2.25833i | −0.0416074 | + | 0.0720662i | ||||
\(983\) | 13.9641 | + | 52.1147i | 0.445386 | + | 1.66220i | 0.714916 | + | 0.699210i | \(0.246465\pi\) |
−0.269531 | + | 0.962992i | \(0.586869\pi\) | |||||||
\(984\) | −22.3923 | + | 6.00000i | −0.713841 | + | 0.191273i | ||||
\(985\) | 12.4641 | + | 37.3923i | 0.397139 | + | 1.19142i | ||||
\(986\) | 0.392305 | − | 1.46410i | 0.0124935 | − | 0.0466265i | ||||
\(987\) | −9.92820 | + | 2.66025i | −0.316018 | + | 0.0846768i | ||||
\(988\) | −1.36603 | − | 1.36603i | −0.0434591 | − | 0.0434591i | ||||
\(989\) | −1.07180 | −0.0340812 | ||||||||
\(990\) | 1.71539 | + | 2.59808i | 0.0545187 | + | 0.0825723i | ||||
\(991\) | −18.5359 | − | 18.5359i | −0.588812 | − | 0.588812i | 0.348497 | − | 0.937310i | \(-0.386692\pi\) |
−0.937310 | + | 0.348497i | \(0.886692\pi\) | |||||||
\(992\) | −2.26795 | + | 8.46410i | −0.0720075 | + | 0.268735i | ||||
\(993\) | 12.5885i | 0.399483i | ||||||||
\(994\) | 8.19615 | + | 2.19615i | 0.259966 | + | 0.0696577i | ||||
\(995\) | 22.9282 | − | 25.8564i | 0.726873 | − | 0.819703i | ||||
\(996\) | 6.92820 | + | 12.0000i | 0.219529 | + | 0.380235i | ||||
\(997\) | −34.1147 | − | 19.6962i | −1.08042 | − | 0.623783i | −0.149414 | − | 0.988775i | \(-0.547739\pi\) |
−0.931011 | + | 0.364991i | \(0.881072\pi\) | |||||||
\(998\) | −15.5359 | + | 15.5359i | −0.491780 | + | 0.491780i | ||||
\(999\) | 0 | 0 |
(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 | 370.2.q.b.273.1 | yes | 4 | |
5.2 | odd | 4 | 370.2.r.b.347.1 | yes | 4 | ||
37.8 | odd | 12 | 370.2.r.b.193.1 | yes | 4 | ||
185.82 | even | 12 | inner | 370.2.q.b.267.1 | ✓ | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.b.267.1 | ✓ | 4 | 185.82 | even | 12 | inner | |
370.2.q.b.273.1 | yes | 4 | 1.1 | even | 1 | trivial | |
370.2.r.b.193.1 | yes | 4 | 37.8 | odd | 12 | ||
370.2.r.b.347.1 | yes | 4 | 5.2 | odd | 4 |