Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(77,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.br (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: | \(2.87461447277\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 173.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 360.173 |
Dual form | 360.2.br.c.77.1 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | − | 0.366025i | −0.965926 | − | 0.258819i | ||||
\(3\) | −1.50000 | + | 0.866025i | −0.866025 | + | 0.500000i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.866025 | + | 0.500000i | ||||
\(5\) | 2.23205 | − | 0.133975i | 0.998203 | − | 0.0599153i | ||||
\(6\) | 2.36603 | − | 0.633975i | 0.965926 | − | 0.258819i | ||||
\(7\) | 1.13397 | + | 4.23205i | 0.428602 | + | 1.59956i | 0.755929 | + | 0.654654i | \(0.227186\pi\) |
−0.327327 | + | 0.944911i | \(0.606148\pi\) | |||||||
\(8\) | −2.00000 | − | 2.00000i | −0.707107 | − | 0.707107i | ||||
\(9\) | 1.50000 | − | 2.59808i | 0.500000 | − | 0.866025i | ||||
\(10\) | −3.09808 | − | 0.633975i | −0.979698 | − | 0.200480i | ||||
\(11\) | 1.00000 | − | 1.73205i | 0.301511 | − | 0.522233i | −0.674967 | − | 0.737848i | \(-0.735842\pi\) |
0.976478 | + | 0.215615i | \(0.0691756\pi\) | |||||||
\(12\) | −3.46410 | −1.00000 | ||||||||
\(13\) | −1.73205 | − | 0.464102i | −0.480384 | − | 0.128719i | 0.0104972 | − | 0.999945i | \(-0.496659\pi\) |
−0.490882 | + | 0.871226i | \(0.663325\pi\) | |||||||
\(14\) | − | 6.19615i | − | 1.65599i | ||||||
\(15\) | −3.23205 | + | 2.13397i | −0.834512 | + | 0.550990i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | 3.00000 | + | 3.00000i | 0.727607 | + | 0.727607i | 0.970143 | − | 0.242536i | \(-0.0779791\pi\) |
−0.242536 | + | 0.970143i | \(0.577979\pi\) | |||||||
\(18\) | −3.00000 | + | 3.00000i | −0.707107 | + | 0.707107i | ||||
\(19\) | −4.73205 | −1.08561 | −0.542803 | − | 0.839860i | \(-0.682637\pi\) | ||||
−0.542803 | + | 0.839860i | \(0.682637\pi\) | |||||||
\(20\) | 4.00000 | + | 2.00000i | 0.894427 | + | 0.447214i | ||||
\(21\) | −5.36603 | − | 5.36603i | −1.17096 | − | 1.17096i | ||||
\(22\) | −2.00000 | + | 2.00000i | −0.426401 | + | 0.426401i | ||||
\(23\) | 0.866025 | + | 0.232051i | 0.180579 | + | 0.0483859i | 0.347975 | − | 0.937504i | \(-0.386869\pi\) |
−0.167396 | + | 0.985890i | \(0.553536\pi\) | |||||||
\(24\) | 4.73205 | + | 1.26795i | 0.965926 | + | 0.258819i | ||||
\(25\) | 4.96410 | − | 0.598076i | 0.992820 | − | 0.119615i | ||||
\(26\) | 2.19615 | + | 1.26795i | 0.430701 | + | 0.248665i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | −2.26795 | + | 8.46410i | −0.428602 | + | 1.59956i | ||||
\(29\) | 2.76795 | + | 1.59808i | 0.513995 | + | 0.296755i | 0.734474 | − | 0.678636i | \(-0.237429\pi\) |
−0.220479 | + | 0.975392i | \(0.570762\pi\) | |||||||
\(30\) | 5.19615 | − | 1.73205i | 0.948683 | − | 0.316228i | ||||
\(31\) | 4.09808 | + | 7.09808i | 0.736036 | + | 1.27485i | 0.954267 | + | 0.298955i | \(0.0966380\pi\) |
−0.218231 | + | 0.975897i | \(0.570029\pi\) | |||||||
\(32\) | −1.46410 | − | 5.46410i | −0.258819 | − | 0.965926i | ||||
\(33\) | 3.46410i | 0.603023i | ||||||||
\(34\) | −3.00000 | − | 5.19615i | −0.514496 | − | 0.891133i | ||||
\(35\) | 3.09808 | + | 9.29423i | 0.523670 | + | 1.57101i | ||||
\(36\) | 5.19615 | − | 3.00000i | 0.866025 | − | 0.500000i | ||||
\(37\) | −0.464102 | − | 0.464102i | −0.0762978 | − | 0.0762978i | 0.667928 | − | 0.744226i | \(-0.267181\pi\) |
−0.744226 | + | 0.667928i | \(0.767181\pi\) | |||||||
\(38\) | 6.46410 | + | 1.73205i | 1.04862 | + | 0.280976i | ||||
\(39\) | 3.00000 | − | 0.803848i | 0.480384 | − | 0.128719i | ||||
\(40\) | −4.73205 | − | 4.19615i | −0.748203 | − | 0.663470i | ||||
\(41\) | −5.59808 | + | 3.23205i | −0.874273 | + | 0.504762i | −0.868766 | − | 0.495223i | \(-0.835086\pi\) |
−0.00550690 | + | 0.999985i | \(0.501753\pi\) | |||||||
\(42\) | 5.36603 | + | 9.29423i | 0.827996 | + | 1.43413i | ||||
\(43\) | 2.36603 | + | 8.83013i | 0.360815 | + | 1.34658i | 0.873006 | + | 0.487710i | \(0.162168\pi\) |
−0.512190 | + | 0.858872i | \(0.671166\pi\) | |||||||
\(44\) | 3.46410 | − | 2.00000i | 0.522233 | − | 0.301511i | ||||
\(45\) | 3.00000 | − | 6.00000i | 0.447214 | − | 0.894427i | ||||
\(46\) | −1.09808 | − | 0.633975i | −0.161903 | − | 0.0934745i | ||||
\(47\) | −1.50000 | + | 0.401924i | −0.218797 | + | 0.0586266i | −0.366552 | − | 0.930397i | \(-0.619462\pi\) |
0.147755 | + | 0.989024i | \(0.452795\pi\) | |||||||
\(48\) | −6.00000 | − | 3.46410i | −0.866025 | − | 0.500000i | ||||
\(49\) | −10.5622 | + | 6.09808i | −1.50888 | + | 0.871154i | ||||
\(50\) | −7.00000 | − | 1.00000i | −0.989949 | − | 0.141421i | ||||
\(51\) | −7.09808 | − | 1.90192i | −0.993929 | − | 0.266323i | ||||
\(52\) | −2.53590 | − | 2.53590i | −0.351666 | − | 0.351666i | ||||
\(53\) | −5.19615 | − | 5.19615i | −0.713746 | − | 0.713746i | 0.253570 | − | 0.967317i | \(-0.418395\pi\) |
−0.967317 | + | 0.253570i | \(0.918395\pi\) | |||||||
\(54\) | 1.90192 | − | 7.09808i | 0.258819 | − | 0.965926i | ||||
\(55\) | 2.00000 | − | 4.00000i | 0.269680 | − | 0.539360i | ||||
\(56\) | 6.19615 | − | 10.7321i | 0.827996 | − | 1.43413i | ||||
\(57\) | 7.09808 | − | 4.09808i | 0.940163 | − | 0.542803i | ||||
\(58\) | −3.19615 | − | 3.19615i | −0.419675 | − | 0.419675i | ||||
\(59\) | 1.56218 | − | 0.901924i | 0.203378 | − | 0.117420i | −0.394852 | − | 0.918745i | \(-0.629204\pi\) |
0.598230 | + | 0.801324i | \(0.295871\pi\) | |||||||
\(60\) | −7.73205 | + | 0.464102i | −0.998203 | + | 0.0599153i | ||||
\(61\) | 12.6962 | + | 7.33013i | 1.62558 | + | 0.938527i | 0.985391 | + | 0.170305i | \(0.0544754\pi\) |
0.640184 | + | 0.768221i | \(0.278858\pi\) | |||||||
\(62\) | −3.00000 | − | 11.1962i | −0.381000 | − | 1.42191i | ||||
\(63\) | 12.6962 | + | 3.40192i | 1.59956 | + | 0.428602i | ||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | −3.92820 | − | 0.803848i | −0.487234 | − | 0.0997050i | ||||
\(66\) | 1.26795 | − | 4.73205i | 0.156074 | − | 0.582475i | ||||
\(67\) | 1.96410 | − | 7.33013i | 0.239953 | − | 0.895518i | −0.735900 | − | 0.677090i | \(-0.763241\pi\) |
0.975853 | − | 0.218427i | \(-0.0700927\pi\) | |||||||
\(68\) | 2.19615 | + | 8.19615i | 0.266323 | + | 0.993929i | ||||
\(69\) | −1.50000 | + | 0.401924i | −0.180579 | + | 0.0483859i | ||||
\(70\) | −0.830127 | − | 13.8301i | −0.0992192 | − | 1.65302i | ||||
\(71\) | − | 12.0000i | − | 1.42414i | −0.702109 | − | 0.712069i | \(-0.747758\pi\) | ||
0.702109 | − | 0.712069i | \(-0.252242\pi\) | |||||||
\(72\) | −8.19615 | + | 2.19615i | −0.965926 | + | 0.258819i | ||||
\(73\) | −10.1962 | − | 10.1962i | −1.19337 | − | 1.19337i | −0.976115 | − | 0.217254i | \(-0.930290\pi\) |
−0.217254 | − | 0.976115i | \(-0.569710\pi\) | |||||||
\(74\) | 0.464102 | + | 0.803848i | 0.0539507 | + | 0.0934454i | ||||
\(75\) | −6.92820 | + | 5.19615i | −0.800000 | + | 0.600000i | ||||
\(76\) | −8.19615 | − | 4.73205i | −0.940163 | − | 0.542803i | ||||
\(77\) | 8.46410 | + | 2.26795i | 0.964574 | + | 0.258457i | ||||
\(78\) | −4.39230 | −0.497331 | ||||||||
\(79\) | 1.90192 | + | 1.09808i | 0.213983 | + | 0.123543i | 0.603161 | − | 0.797619i | \(-0.293908\pi\) |
−0.389178 | + | 0.921163i | \(0.627241\pi\) | |||||||
\(80\) | 4.92820 | + | 7.46410i | 0.550990 | + | 0.834512i | ||||
\(81\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(82\) | 8.83013 | − | 2.36603i | 0.975124 | − | 0.261284i | ||||
\(83\) | −11.3301 | + | 3.03590i | −1.24364 | + | 0.333233i | −0.819878 | − | 0.572539i | \(-0.805959\pi\) |
−0.423765 | + | 0.905772i | \(0.639292\pi\) | |||||||
\(84\) | −3.92820 | − | 14.6603i | −0.428602 | − | 1.59956i | ||||
\(85\) | 7.09808 | + | 6.29423i | 0.769894 | + | 0.682705i | ||||
\(86\) | − | 12.9282i | − | 1.39408i | ||||||
\(87\) | −5.53590 | −0.593511 | ||||||||
\(88\) | −5.46410 | + | 1.46410i | −0.582475 | + | 0.156074i | ||||
\(89\) | 2.66025 | 0.281986 | 0.140993 | − | 0.990011i | \(-0.454970\pi\) | ||||
0.140993 | + | 0.990011i | \(0.454970\pi\) | |||||||
\(90\) | −6.29423 | + | 7.09808i | −0.663470 | + | 0.748203i | ||||
\(91\) | − | 7.85641i | − | 0.823575i | ||||||
\(92\) | 1.26795 | + | 1.26795i | 0.132193 | + | 0.132193i | ||||
\(93\) | −12.2942 | − | 7.09808i | −1.27485 | − | 0.736036i | ||||
\(94\) | 2.19615 | 0.226516 | ||||||||
\(95\) | −10.5622 | + | 0.633975i | −1.08366 | + | 0.0650444i | ||||
\(96\) | 6.92820 | + | 6.92820i | 0.707107 | + | 0.707107i | ||||
\(97\) | 1.83013 | + | 6.83013i | 0.185821 | + | 0.693494i | 0.994453 | + | 0.105180i | \(0.0335417\pi\) |
−0.808632 | + | 0.588315i | \(0.799792\pi\) | |||||||
\(98\) | 16.6603 | − | 4.46410i | 1.68294 | − | 0.450942i | ||||
\(99\) | −3.00000 | − | 5.19615i | −0.301511 | − | 0.522233i | ||||
\(100\) | 9.19615 | + | 3.92820i | 0.919615 | + | 0.392820i | ||||
\(101\) | −1.00000 | + | 1.73205i | −0.0995037 | + | 0.172345i | −0.911479 | − | 0.411346i | \(-0.865059\pi\) |
0.811976 | + | 0.583691i | \(0.198392\pi\) | |||||||
\(102\) | 9.00000 | + | 5.19615i | 0.891133 | + | 0.514496i | ||||
\(103\) | 4.16987 | − | 15.5622i | 0.410870 | − | 1.53339i | −0.382097 | − | 0.924122i | \(-0.624798\pi\) |
0.792967 | − | 0.609265i | \(-0.208535\pi\) | |||||||
\(104\) | 2.53590 | + | 4.39230i | 0.248665 | + | 0.430701i | ||||
\(105\) | −12.6962 | − | 11.2583i | −1.23902 | − | 1.09870i | ||||
\(106\) | 5.19615 | + | 9.00000i | 0.504695 | + | 0.874157i | ||||
\(107\) | −6.09808 | + | 6.09808i | −0.589523 | + | 0.589523i | −0.937502 | − | 0.347979i | \(-0.886868\pi\) |
0.347979 | + | 0.937502i | \(0.386868\pi\) | |||||||
\(108\) | −5.19615 | + | 9.00000i | −0.500000 | + | 0.866025i | ||||
\(109\) | 8.66025 | 0.829502 | 0.414751 | − | 0.909935i | \(-0.363869\pi\) | ||||
0.414751 | + | 0.909935i | \(0.363869\pi\) | |||||||
\(110\) | −4.19615 | + | 4.73205i | −0.400087 | + | 0.451183i | ||||
\(111\) | 1.09808 | + | 0.294229i | 0.104225 | + | 0.0279269i | ||||
\(112\) | −12.3923 | + | 12.3923i | −1.17096 | + | 1.17096i | ||||
\(113\) | 1.73205 | + | 0.464102i | 0.162938 | + | 0.0436590i | 0.339366 | − | 0.940655i | \(-0.389788\pi\) |
−0.176428 | + | 0.984314i | \(0.556454\pi\) | |||||||
\(114\) | −11.1962 | + | 3.00000i | −1.04862 | + | 0.280976i | ||||
\(115\) | 1.96410 | + | 0.401924i | 0.183153 | + | 0.0374796i | ||||
\(116\) | 3.19615 | + | 5.53590i | 0.296755 | + | 0.513995i | ||||
\(117\) | −3.80385 | + | 3.80385i | −0.351666 | + | 0.351666i | ||||
\(118\) | −2.46410 | + | 0.660254i | −0.226839 | + | 0.0607813i | ||||
\(119\) | −9.29423 | + | 16.0981i | −0.852001 | + | 1.47571i | ||||
\(120\) | 10.7321 | + | 2.19615i | 0.979698 | + | 0.200480i | ||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | −14.6603 | − | 14.6603i | −1.32728 | − | 1.32728i | ||||
\(123\) | 5.59808 | − | 9.69615i | 0.504762 | − | 0.874273i | ||||
\(124\) | 16.3923i | 1.47207i | ||||||||
\(125\) | 11.0000 | − | 2.00000i | 0.983870 | − | 0.178885i | ||||
\(126\) | −16.0981 | − | 9.29423i | −1.43413 | − | 0.827996i | ||||
\(127\) | 5.90192 | − | 5.90192i | 0.523711 | − | 0.523711i | −0.394979 | − | 0.918690i | \(-0.629248\pi\) |
0.918690 | + | 0.394979i | \(0.129248\pi\) | |||||||
\(128\) | 2.92820 | − | 10.9282i | 0.258819 | − | 0.965926i | ||||
\(129\) | −11.1962 | − | 11.1962i | −0.985766 | − | 0.985766i | ||||
\(130\) | 5.07180 | + | 2.53590i | 0.444826 | + | 0.222413i | ||||
\(131\) | 3.90192 | + | 6.75833i | 0.340913 | + | 0.590478i | 0.984602 | − | 0.174808i | \(-0.0559306\pi\) |
−0.643690 | + | 0.765287i | \(0.722597\pi\) | |||||||
\(132\) | −3.46410 | + | 6.00000i | −0.301511 | + | 0.522233i | ||||
\(133\) | −5.36603 | − | 20.0263i | −0.465293 | − | 1.73650i | ||||
\(134\) | −5.36603 | + | 9.29423i | −0.463554 | + | 0.802899i | ||||
\(135\) | 0.696152 | + | 11.5981i | 0.0599153 | + | 0.998203i | ||||
\(136\) | − | 12.0000i | − | 1.02899i | ||||||
\(137\) | 12.9282 | − | 3.46410i | 1.10453 | − | 0.295958i | 0.339923 | − | 0.940453i | \(-0.389599\pi\) |
0.764608 | + | 0.644495i | \(0.222932\pi\) | |||||||
\(138\) | 2.19615 | 0.186949 | ||||||||
\(139\) | −3.46410 | − | 6.00000i | −0.293821 | − | 0.508913i | 0.680889 | − | 0.732387i | \(-0.261594\pi\) |
−0.974710 | + | 0.223474i | \(0.928260\pi\) | |||||||
\(140\) | −3.92820 | + | 19.1962i | −0.331994 | + | 1.62237i | ||||
\(141\) | 1.90192 | − | 1.90192i | 0.160171 | − | 0.160171i | ||||
\(142\) | −4.39230 | + | 16.3923i | −0.368594 | + | 1.37561i | ||||
\(143\) | −2.53590 | + | 2.53590i | −0.212062 | + | 0.212062i | ||||
\(144\) | 12.0000 | 1.00000 | ||||||||
\(145\) | 6.39230 | + | 3.19615i | 0.530852 | + | 0.265426i | ||||
\(146\) | 10.1962 | + | 17.6603i | 0.843840 | + | 1.46157i | ||||
\(147\) | 10.5622 | − | 18.2942i | 0.871154 | − | 1.50888i | ||||
\(148\) | −0.339746 | − | 1.26795i | −0.0279269 | − | 0.104225i | ||||
\(149\) | −6.06218 | + | 3.50000i | −0.496633 | + | 0.286731i | −0.727322 | − | 0.686296i | \(-0.759235\pi\) |
0.230689 | + | 0.973028i | \(0.425902\pi\) | |||||||
\(150\) | 11.3660 | − | 4.56218i | 0.928032 | − | 0.372500i | ||||
\(151\) | 8.00000 | − | 13.8564i | 0.651031 | − | 1.12762i | −0.331842 | − | 0.943335i | \(-0.607670\pi\) |
0.982873 | − | 0.184284i | \(-0.0589965\pi\) | |||||||
\(152\) | 9.46410 | + | 9.46410i | 0.767640 | + | 0.767640i | ||||
\(153\) | 12.2942 | − | 3.29423i | 0.993929 | − | 0.266323i | ||||
\(154\) | −10.7321 | − | 6.19615i | −0.864813 | − | 0.499300i | ||||
\(155\) | 10.0981 | + | 15.2942i | 0.811097 | + | 1.22846i | ||||
\(156\) | 6.00000 | + | 1.60770i | 0.480384 | + | 0.128719i | ||||
\(157\) | 3.29423 | − | 12.2942i | 0.262908 | − | 0.981186i | −0.700610 | − | 0.713544i | \(-0.747089\pi\) |
0.963518 | − | 0.267642i | \(-0.0862445\pi\) | |||||||
\(158\) | −2.19615 | − | 2.19615i | −0.174717 | − | 0.174717i | ||||
\(159\) | 12.2942 | + | 3.29423i | 0.974996 | + | 0.261249i | ||||
\(160\) | −4.00000 | − | 12.0000i | −0.316228 | − | 0.948683i | ||||
\(161\) | 3.92820i | 0.309586i | ||||||||
\(162\) | 3.29423 | + | 12.2942i | 0.258819 | + | 0.965926i | ||||
\(163\) | 6.46410 | − | 6.46410i | 0.506308 | − | 0.506308i | −0.407083 | − | 0.913391i | \(-0.633454\pi\) |
0.913391 | + | 0.407083i | \(0.133454\pi\) | |||||||
\(164\) | −12.9282 | −1.00952 | ||||||||
\(165\) | 0.464102 | + | 7.73205i | 0.0361303 | + | 0.601939i | ||||
\(166\) | 16.5885 | 1.28751 | ||||||||
\(167\) | 4.79423 | − | 17.8923i | 0.370989 | − | 1.38455i | −0.488130 | − | 0.872771i | \(-0.662321\pi\) |
0.859118 | − | 0.511777i | \(-0.171013\pi\) | |||||||
\(168\) | 21.4641i | 1.65599i | ||||||||
\(169\) | −8.47372 | − | 4.89230i | −0.651825 | − | 0.376331i | ||||
\(170\) | −7.39230 | − | 11.1962i | −0.566964 | − | 0.858706i | ||||
\(171\) | −7.09808 | + | 12.2942i | −0.542803 | + | 0.940163i | ||||
\(172\) | −4.73205 | + | 17.6603i | −0.360815 | + | 1.34658i | ||||
\(173\) | 2.73205 | − | 0.732051i | 0.207714 | − | 0.0556568i | −0.153462 | − | 0.988155i | \(-0.549042\pi\) |
0.361176 | + | 0.932498i | \(0.382375\pi\) | |||||||
\(174\) | 7.56218 | + | 2.02628i | 0.573287 | + | 0.153612i | ||||
\(175\) | 8.16025 | + | 20.3301i | 0.616857 | + | 1.53681i | ||||
\(176\) | 8.00000 | 0.603023 | ||||||||
\(177\) | −1.56218 | + | 2.70577i | −0.117420 | + | 0.203378i | ||||
\(178\) | −3.63397 | − | 0.973721i | −0.272378 | − | 0.0729834i | ||||
\(179\) | − | 6.39230i | − | 0.477783i | −0.971046 | − | 0.238892i | \(-0.923216\pi\) | ||
0.971046 | − | 0.238892i | \(-0.0767841\pi\) | |||||||
\(180\) | 11.1962 | − | 7.39230i | 0.834512 | − | 0.550990i | ||||
\(181\) | − | 3.00000i | − | 0.222988i | −0.993765 | − | 0.111494i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111494i | \(-0.0355636\pi\) | |||||||
\(182\) | −2.87564 | + | 10.7321i | −0.213157 | + | 0.795513i | ||||
\(183\) | −25.3923 | −1.87705 | ||||||||
\(184\) | −1.26795 | − | 2.19615i | −0.0934745 | − | 0.161903i | ||||
\(185\) | −1.09808 | − | 0.973721i | −0.0807322 | − | 0.0715894i | ||||
\(186\) | 14.1962 | + | 14.1962i | 1.04091 | + | 1.04091i | ||||
\(187\) | 8.19615 | − | 2.19615i | 0.599362 | − | 0.160599i | ||||
\(188\) | −3.00000 | − | 0.803848i | −0.218797 | − | 0.0586266i | ||||
\(189\) | −21.9904 | + | 5.89230i | −1.59956 | + | 0.428602i | ||||
\(190\) | 14.6603 | + | 3.00000i | 1.06357 | + | 0.217643i | ||||
\(191\) | −16.0981 | − | 9.29423i | −1.16482 | − | 0.672507i | −0.212362 | − | 0.977191i | \(-0.568116\pi\) |
−0.952453 | + | 0.304684i | \(0.901449\pi\) | |||||||
\(192\) | −6.92820 | − | 12.0000i | −0.500000 | − | 0.866025i | ||||
\(193\) | −3.66025 | + | 13.6603i | −0.263471 | + | 0.983287i | 0.699709 | + | 0.714428i | \(0.253313\pi\) |
−0.963180 | + | 0.268858i | \(0.913354\pi\) | |||||||
\(194\) | − | 10.0000i | − | 0.717958i | ||||||
\(195\) | 6.58846 | − | 2.19615i | 0.471809 | − | 0.157270i | ||||
\(196\) | −24.3923 | −1.74231 | ||||||||
\(197\) | 12.0000 | − | 12.0000i | 0.854965 | − | 0.854965i | −0.135775 | − | 0.990740i | \(-0.543352\pi\) |
0.990740 | + | 0.135775i | \(0.0433525\pi\) | |||||||
\(198\) | 2.19615 | + | 8.19615i | 0.156074 | + | 0.582475i | ||||
\(199\) | − | 4.19615i | − | 0.297457i | −0.988878 | − | 0.148729i | \(-0.952482\pi\) | ||
0.988878 | − | 0.148729i | \(-0.0475181\pi\) | |||||||
\(200\) | −11.1244 | − | 8.73205i | −0.786611 | − | 0.617449i | ||||
\(201\) | 3.40192 | + | 12.6962i | 0.239953 | + | 0.895518i | ||||
\(202\) | 2.00000 | − | 2.00000i | 0.140720 | − | 0.140720i | ||||
\(203\) | −3.62436 | + | 13.5263i | −0.254380 | + | 0.949359i | ||||
\(204\) | −10.3923 | − | 10.3923i | −0.727607 | − | 0.727607i | ||||
\(205\) | −12.0622 | + | 7.96410i | −0.842459 | + | 0.556237i | ||||
\(206\) | −11.3923 | + | 19.7321i | −0.793739 | + | 1.37480i | ||||
\(207\) | 1.90192 | − | 1.90192i | 0.132193 | − | 0.132193i | ||||
\(208\) | −1.85641 | − | 6.92820i | −0.128719 | − | 0.480384i | ||||
\(209\) | −4.73205 | + | 8.19615i | −0.327323 | + | 0.566940i | ||||
\(210\) | 13.2224 | + | 20.0263i | 0.912434 | + | 1.38194i | ||||
\(211\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(212\) | −3.80385 | − | 14.1962i | −0.261249 | − | 0.974996i | ||||
\(213\) | 10.3923 | + | 18.0000i | 0.712069 | + | 1.23334i | ||||
\(214\) | 10.5622 | − | 6.09808i | 0.722016 | − | 0.416856i | ||||
\(215\) | 6.46410 | + | 19.3923i | 0.440848 | + | 1.32254i | ||||
\(216\) | 10.3923 | − | 10.3923i | 0.707107 | − | 0.707107i | ||||
\(217\) | −25.3923 | + | 25.3923i | −1.72374 | + | 1.72374i | ||||
\(218\) | −11.8301 | − | 3.16987i | −0.801237 | − | 0.214691i | ||||
\(219\) | 24.1244 | + | 6.46410i | 1.63017 | + | 0.436804i | ||||
\(220\) | 7.46410 | − | 4.92820i | 0.503230 | − | 0.332259i | ||||
\(221\) | −3.80385 | − | 6.58846i | −0.255874 | − | 0.443188i | ||||
\(222\) | −1.39230 | − | 0.803848i | −0.0934454 | − | 0.0539507i | ||||
\(223\) | −16.5263 | + | 4.42820i | −1.10668 | + | 0.296534i | −0.765483 | − | 0.643457i | \(-0.777500\pi\) |
−0.341199 | + | 0.939991i | \(0.610833\pi\) | |||||||
\(224\) | 21.4641 | − | 12.3923i | 1.43413 | − | 0.827996i | ||||
\(225\) | 5.89230 | − | 13.7942i | 0.392820 | − | 0.919615i | ||||
\(226\) | −2.19615 | − | 1.26795i | −0.146086 | − | 0.0843427i | ||||
\(227\) | −2.70577 | − | 10.0981i | −0.179588 | − | 0.670233i | −0.995724 | − | 0.0923731i | \(-0.970555\pi\) |
0.816136 | − | 0.577860i | \(-0.196112\pi\) | |||||||
\(228\) | 16.3923 | 1.08561 | ||||||||
\(229\) | 5.76795 | + | 9.99038i | 0.381157 | + | 0.660183i | 0.991228 | − | 0.132164i | \(-0.0421925\pi\) |
−0.610071 | + | 0.792347i | \(0.708859\pi\) | |||||||
\(230\) | −2.53590 | − | 1.26795i | −0.167212 | − | 0.0836061i | ||||
\(231\) | −14.6603 | + | 3.92820i | −0.964574 | + | 0.258457i | ||||
\(232\) | −2.33975 | − | 8.73205i | −0.153612 | − | 0.573287i | ||||
\(233\) | 18.1244 | − | 18.1244i | 1.18737 | − | 1.18737i | 0.209573 | − | 0.977793i | \(-0.432793\pi\) |
0.977793 | − | 0.209573i | \(-0.0672074\pi\) | |||||||
\(234\) | 6.58846 | − | 3.80385i | 0.430701 | − | 0.248665i | ||||
\(235\) | −3.29423 | + | 1.09808i | −0.214892 | + | 0.0716306i | ||||
\(236\) | 3.60770 | 0.234841 | ||||||||
\(237\) | −3.80385 | −0.247086 | ||||||||
\(238\) | 18.5885 | − | 18.5885i | 1.20491 | − | 1.20491i | ||||
\(239\) | −9.46410 | − | 16.3923i | −0.612182 | − | 1.06033i | −0.990872 | − | 0.134807i | \(-0.956959\pi\) |
0.378690 | − | 0.925524i | \(-0.376375\pi\) | |||||||
\(240\) | −13.8564 | − | 6.92820i | −0.894427 | − | 0.447214i | ||||
\(241\) | 9.40192 | − | 16.2846i | 0.605631 | − | 1.04898i | −0.386320 | − | 0.922365i | \(-0.626254\pi\) |
0.991951 | − | 0.126619i | \(-0.0404126\pi\) | |||||||
\(242\) | −2.56218 | − | 9.56218i | −0.164703 | − | 0.614680i | ||||
\(243\) | 13.5000 | + | 7.79423i | 0.866025 | + | 0.500000i | ||||
\(244\) | 14.6603 | + | 25.3923i | 0.938527 | + | 1.62558i | ||||
\(245\) | −22.7583 | + | 15.0263i | −1.45398 | + | 0.959994i | ||||
\(246\) | −11.1962 | + | 11.1962i | −0.713841 | + | 0.713841i | ||||
\(247\) | 8.19615 | + | 2.19615i | 0.521509 | + | 0.139738i | ||||
\(248\) | 6.00000 | − | 22.3923i | 0.381000 | − | 1.42191i | ||||
\(249\) | 14.3660 | − | 14.3660i | 0.910410 | − | 0.910410i | ||||
\(250\) | −15.7583 | − | 1.29423i | −0.996644 | − | 0.0818542i | ||||
\(251\) | −26.5885 | −1.67825 | −0.839124 | − | 0.543940i | \(-0.816932\pi\) | ||||
−0.839124 | + | 0.543940i | \(0.816932\pi\) | |||||||
\(252\) | 18.5885 | + | 18.5885i | 1.17096 | + | 1.17096i | ||||
\(253\) | 1.26795 | − | 1.26795i | 0.0797153 | − | 0.0797153i | ||||
\(254\) | −10.2224 | + | 5.90192i | −0.641412 | + | 0.370320i | ||||
\(255\) | −16.0981 | − | 3.29423i | −1.00810 | − | 0.206293i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | −4.22243 | + | 15.7583i | −0.263388 | + | 0.982978i | 0.699842 | + | 0.714298i | \(0.253254\pi\) |
−0.963230 | + | 0.268680i | \(0.913413\pi\) | |||||||
\(258\) | 11.1962 | + | 19.3923i | 0.697042 | + | 1.20731i | ||||
\(259\) | 1.43782 | − | 2.49038i | 0.0893419 | − | 0.154745i | ||||
\(260\) | −6.00000 | − | 5.32051i | −0.372104 | − | 0.329964i | ||||
\(261\) | 8.30385 | − | 4.79423i | 0.513995 | − | 0.296755i | ||||
\(262\) | −2.85641 | − | 10.6603i | −0.176469 | − | 0.658593i | ||||
\(263\) | 3.63397 | + | 13.5622i | 0.224080 | + | 0.836280i | 0.982771 | + | 0.184828i | \(0.0591729\pi\) |
−0.758690 | + | 0.651451i | \(0.774160\pi\) | |||||||
\(264\) | 6.92820 | − | 6.92820i | 0.426401 | − | 0.426401i | ||||
\(265\) | −12.2942 | − | 10.9019i | −0.755228 | − | 0.669700i | ||||
\(266\) | 29.3205i | 1.79776i | ||||||||
\(267\) | −3.99038 | + | 2.30385i | −0.244207 | + | 0.140993i | ||||
\(268\) | 10.7321 | − | 10.7321i | 0.655564 | − | 0.655564i | ||||
\(269\) | 1.00000i | 0.0609711i | 0.999535 | + | 0.0304855i | \(0.00970535\pi\) | ||||
−0.999535 | + | 0.0304855i | \(0.990295\pi\) | |||||||
\(270\) | 3.29423 | − | 16.0981i | 0.200480 | − | 0.979698i | ||||
\(271\) | 4.58846 | 0.278729 | 0.139364 | − | 0.990241i | \(-0.455494\pi\) | ||||
0.139364 | + | 0.990241i | \(0.455494\pi\) | |||||||
\(272\) | −4.39230 | + | 16.3923i | −0.266323 | + | 0.993929i | ||||
\(273\) | 6.80385 | + | 11.7846i | 0.411788 | + | 0.713237i | ||||
\(274\) | −18.9282 | −1.14349 | ||||||||
\(275\) | 3.92820 | − | 9.19615i | 0.236880 | − | 0.554549i | ||||
\(276\) | −3.00000 | − | 0.803848i | −0.180579 | − | 0.0483859i | ||||
\(277\) | 8.83013 | − | 2.36603i | 0.530551 | − | 0.142161i | 0.0164083 | − | 0.999865i | \(-0.494777\pi\) |
0.514143 | + | 0.857705i | \(0.328110\pi\) | |||||||
\(278\) | 2.53590 | + | 9.46410i | 0.152093 | + | 0.567619i | ||||
\(279\) | 24.5885 | 1.47207 | ||||||||
\(280\) | 12.3923 | − | 24.7846i | 0.740582 | − | 1.48116i | ||||
\(281\) | −1.79423 | − | 1.03590i | −0.107035 | − | 0.0617965i | 0.445527 | − | 0.895268i | \(-0.353016\pi\) |
−0.552562 | + | 0.833472i | \(0.686350\pi\) | |||||||
\(282\) | −3.29423 | + | 1.90192i | −0.196168 | + | 0.113258i | ||||
\(283\) | −4.50000 | − | 1.20577i | −0.267497 | − | 0.0716757i | 0.122577 | − | 0.992459i | \(-0.460884\pi\) |
−0.390074 | + | 0.920783i | \(0.627551\pi\) | |||||||
\(284\) | 12.0000 | − | 20.7846i | 0.712069 | − | 1.23334i | ||||
\(285\) | 15.2942 | − | 10.0981i | 0.905952 | − | 0.598158i | ||||
\(286\) | 4.39230 | − | 2.53590i | 0.259722 | − | 0.149951i | ||||
\(287\) | −20.0263 | − | 20.0263i | −1.18211 | − | 1.18211i | ||||
\(288\) | −16.3923 | − | 4.39230i | −0.965926 | − | 0.258819i | ||||
\(289\) | 1.00000i | 0.0588235i | ||||||||
\(290\) | −7.56218 | − | 6.70577i | −0.444066 | − | 0.393776i | ||||
\(291\) | −8.66025 | − | 8.66025i | −0.507673 | − | 0.507673i | ||||
\(292\) | −7.46410 | − | 27.8564i | −0.436804 | − | 1.63017i | ||||
\(293\) | −0.294229 | + | 1.09808i | −0.0171890 | + | 0.0641503i | −0.973988 | − | 0.226601i | \(-0.927239\pi\) |
0.956799 | + | 0.290751i | \(0.0939053\pi\) | |||||||
\(294\) | −21.1244 | + | 21.1244i | −1.23200 | + | 1.23200i | ||||
\(295\) | 3.36603 | − | 2.22243i | 0.195978 | − | 0.129395i | ||||
\(296\) | 1.85641i | 0.107901i | ||||||||
\(297\) | 9.00000 | + | 5.19615i | 0.522233 | + | 0.301511i | ||||
\(298\) | 9.56218 | − | 2.56218i | 0.553922 | − | 0.148423i | ||||
\(299\) | −1.39230 | − | 0.803848i | −0.0805191 | − | 0.0464877i | ||||
\(300\) | −17.1962 | + | 2.07180i | −0.992820 | + | 0.119615i | ||||
\(301\) | −34.6865 | + | 20.0263i | −1.99930 | + | 1.15430i | ||||
\(302\) | −16.0000 | + | 16.0000i | −0.920697 | + | 0.920697i | ||||
\(303\) | − | 3.46410i | − | 0.199007i | ||||||
\(304\) | −9.46410 | − | 16.3923i | −0.542803 | − | 0.940163i | ||||
\(305\) | 29.3205 | + | 14.6603i | 1.67889 | + | 0.839444i | ||||
\(306\) | −18.0000 | −1.02899 | ||||||||
\(307\) | −14.3660 | − | 14.3660i | −0.819912 | − | 0.819912i | 0.166183 | − | 0.986095i | \(-0.446856\pi\) |
−0.986095 | + | 0.166183i | \(0.946856\pi\) | |||||||
\(308\) | 12.3923 | + | 12.3923i | 0.706117 | + | 0.706117i | ||||
\(309\) | 7.22243 | + | 26.9545i | 0.410870 | + | 1.53339i | ||||
\(310\) | −8.19615 | − | 24.5885i | −0.465510 | − | 1.39653i | ||||
\(311\) | 12.2942 | − | 7.09808i | 0.697142 | − | 0.402495i | −0.109140 | − | 0.994026i | \(-0.534810\pi\) |
0.806282 | + | 0.591531i | \(0.201476\pi\) | |||||||
\(312\) | −7.60770 | − | 4.39230i | −0.430701 | − | 0.248665i | ||||
\(313\) | 14.4641 | − | 3.87564i | 0.817559 | − | 0.219064i | 0.174280 | − | 0.984696i | \(-0.444240\pi\) |
0.643279 | + | 0.765632i | \(0.277573\pi\) | |||||||
\(314\) | −9.00000 | + | 15.5885i | −0.507899 | + | 0.879708i | ||||
\(315\) | 28.7942 | + | 5.89230i | 1.62237 | + | 0.331994i | ||||
\(316\) | 2.19615 | + | 3.80385i | 0.123543 | + | 0.213983i | ||||
\(317\) | 3.66025 | + | 13.6603i | 0.205580 | + | 0.767236i | 0.989272 | + | 0.146086i | \(0.0466677\pi\) |
−0.783692 | + | 0.621150i | \(0.786666\pi\) | |||||||
\(318\) | −15.5885 | − | 9.00000i | −0.874157 | − | 0.504695i | ||||
\(319\) | 5.53590 | − | 3.19615i | 0.309951 | − | 0.178950i | ||||
\(320\) | 1.07180 | + | 17.8564i | 0.0599153 | + | 0.998203i | ||||
\(321\) | 3.86603 | − | 14.4282i | 0.215780 | − | 0.805304i | ||||
\(322\) | 1.43782 | − | 5.36603i | 0.0801267 | − | 0.299037i | ||||
\(323\) | −14.1962 | − | 14.1962i | −0.789895 | − | 0.789895i | ||||
\(324\) | − | 18.0000i | − | 1.00000i | ||||||
\(325\) | −8.87564 | − | 1.26795i | −0.492332 | − | 0.0703332i | ||||
\(326\) | −11.1962 | + | 6.46410i | −0.620098 | + | 0.358013i | ||||
\(327\) | −12.9904 | + | 7.50000i | −0.718370 | + | 0.414751i | ||||
\(328\) | 17.6603 | + | 4.73205i | 0.975124 | + | 0.261284i | ||||
\(329\) | −3.40192 | − | 5.89230i | −0.187554 | − | 0.324853i | ||||
\(330\) | 2.19615 | − | 10.7321i | 0.120894 | − | 0.590780i | ||||
\(331\) | 0.509619 | + | 0.294229i | 0.0280112 | + | 0.0161723i | 0.513940 | − | 0.857826i | \(-0.328185\pi\) |
−0.485929 | + | 0.873998i | \(0.661519\pi\) | |||||||
\(332\) | −22.6603 | − | 6.07180i | −1.24364 | − | 0.333233i | ||||
\(333\) | −1.90192 | + | 0.509619i | −0.104225 | + | 0.0279269i | ||||
\(334\) | −13.0981 | + | 22.6865i | −0.716695 | + | 1.24135i | ||||
\(335\) | 3.40192 | − | 16.6244i | 0.185867 | − | 0.908286i | ||||
\(336\) | 7.85641 | − | 29.3205i | 0.428602 | − | 1.59956i | ||||
\(337\) | −0.267949 | − | 0.0717968i | −0.0145961 | − | 0.00391102i | 0.251514 | − | 0.967854i | \(-0.419072\pi\) |
−0.266110 | + | 0.963943i | \(0.585738\pi\) | |||||||
\(338\) | 9.78461 | + | 9.78461i | 0.532213 | + | 0.532213i | ||||
\(339\) | −3.00000 | + | 0.803848i | −0.162938 | + | 0.0436590i | ||||
\(340\) | 6.00000 | + | 18.0000i | 0.325396 | + | 0.976187i | ||||
\(341\) | 16.3923 | 0.887693 | ||||||||
\(342\) | 14.1962 | − | 14.1962i | 0.767640 | − | 0.767640i | ||||
\(343\) | −16.0981 | − | 16.0981i | −0.869214 | − | 0.869214i | ||||
\(344\) | 12.9282 | − | 22.3923i | 0.697042 | − | 1.20731i | ||||
\(345\) | −3.29423 | + | 1.09808i | −0.177355 | + | 0.0591184i | ||||
\(346\) | −4.00000 | −0.215041 | ||||||||
\(347\) | −7.09808 | − | 1.90192i | −0.381045 | − | 0.102101i | 0.0632121 | − | 0.998000i | \(-0.479866\pi\) |
−0.444257 | + | 0.895899i | \(0.646532\pi\) | |||||||
\(348\) | −9.58846 | − | 5.53590i | −0.513995 | − | 0.296755i | ||||
\(349\) | −18.2321 | + | 31.5788i | −0.975939 | + | 1.69038i | −0.299139 | + | 0.954209i | \(0.596700\pi\) |
−0.676800 | + | 0.736167i | \(0.736634\pi\) | |||||||
\(350\) | −3.70577 | − | 30.7583i | −0.198082 | − | 1.64410i | ||||
\(351\) | 2.41154 | − | 9.00000i | 0.128719 | − | 0.480384i | ||||
\(352\) | −10.9282 | − | 2.92820i | −0.582475 | − | 0.156074i | ||||
\(353\) | 3.46410 | + | 12.9282i | 0.184376 | + | 0.688099i | 0.994763 | + | 0.102205i | \(0.0325898\pi\) |
−0.810388 | + | 0.585894i | \(0.800744\pi\) | |||||||
\(354\) | 3.12436 | − | 3.12436i | 0.166058 | − | 0.166058i | ||||
\(355\) | −1.60770 | − | 26.7846i | −0.0853276 | − | 1.42158i | ||||
\(356\) | 4.60770 | + | 2.66025i | 0.244207 | + | 0.140993i | ||||
\(357\) | − | 32.1962i | − | 1.70400i | ||||||
\(358\) | −2.33975 | + | 8.73205i | −0.123659 | + | 0.461503i | ||||
\(359\) | −2.19615 | −0.115908 | −0.0579542 | − | 0.998319i | \(-0.518458\pi\) | ||||
−0.0579542 | + | 0.998319i | \(0.518458\pi\) | |||||||
\(360\) | −18.0000 | + | 6.00000i | −0.948683 | + | 0.316228i | ||||
\(361\) | 3.39230 | 0.178542 | ||||||||
\(362\) | −1.09808 | + | 4.09808i | −0.0577136 | + | 0.215390i | ||||
\(363\) | −10.5000 | − | 6.06218i | −0.551107 | − | 0.318182i | ||||
\(364\) | 7.85641 | − | 13.6077i | 0.411788 | − | 0.713237i | ||||
\(365\) | −24.1244 | − | 21.3923i | −1.26273 | − | 1.11972i | ||||
\(366\) | 34.6865 | + | 9.29423i | 1.81309 | + | 0.485817i | ||||
\(367\) | 2.56218 | + | 9.56218i | 0.133745 | + | 0.499142i | 1.00000 | 0.000459976i | \(-0.000146415\pi\) | |
−0.866255 | + | 0.499602i | \(0.833480\pi\) | |||||||
\(368\) | 0.928203 | + | 3.46410i | 0.0483859 | + | 0.180579i | ||||
\(369\) | 19.3923i | 1.00952i | ||||||||
\(370\) | 1.14359 | + | 1.73205i | 0.0594526 | + | 0.0900450i | ||||
\(371\) | 16.0981 | − | 27.8827i | 0.835770 | − | 1.44760i | ||||
\(372\) | −14.1962 | − | 24.5885i | −0.736036 | − | 1.27485i | ||||
\(373\) | −3.63397 | − | 0.973721i | −0.188160 | − | 0.0504173i | 0.163508 | − | 0.986542i | \(-0.447719\pi\) |
−0.351669 | + | 0.936125i | \(0.614386\pi\) | |||||||
\(374\) | −12.0000 | −0.620505 | ||||||||
\(375\) | −14.7679 | + | 12.5263i | −0.762614 | + | 0.646854i | ||||
\(376\) | 3.80385 | + | 2.19615i | 0.196168 | + | 0.113258i | ||||
\(377\) | −4.05256 | − | 4.05256i | −0.208717 | − | 0.208717i | ||||
\(378\) | 32.1962 | 1.65599 | ||||||||
\(379\) | 33.1244 | 1.70148 | 0.850742 | − | 0.525584i | \(-0.176153\pi\) | ||||
0.850742 | + | 0.525584i | \(0.176153\pi\) | |||||||
\(380\) | −18.9282 | − | 9.46410i | −0.970996 | − | 0.485498i | ||||
\(381\) | −3.74167 | + | 13.9641i | −0.191692 | + | 0.715403i | ||||
\(382\) | 18.5885 | + | 18.5885i | 0.951068 | + | 0.951068i | ||||
\(383\) | 27.7583 | + | 7.43782i | 1.41838 | + | 0.380055i | 0.884910 | − | 0.465761i | \(-0.154220\pi\) |
0.533474 | + | 0.845816i | \(0.320886\pi\) | |||||||
\(384\) | 5.07180 | + | 18.9282i | 0.258819 | + | 0.965926i | ||||
\(385\) | 19.1962 | + | 3.92820i | 0.978327 | + | 0.200200i | ||||
\(386\) | 10.0000 | − | 17.3205i | 0.508987 | − | 0.881591i | ||||
\(387\) | 26.4904 | + | 7.09808i | 1.34658 | + | 0.360815i | ||||
\(388\) | −3.66025 | + | 13.6603i | −0.185821 | + | 0.693494i | ||||
\(389\) | −15.0622 | − | 8.69615i | −0.763683 | − | 0.440912i | 0.0669337 | − | 0.997757i | \(-0.478678\pi\) |
−0.830616 | + | 0.556845i | \(0.812012\pi\) | |||||||
\(390\) | −9.80385 | + | 0.588457i | −0.496437 | + | 0.0297977i | ||||
\(391\) | 1.90192 | + | 3.29423i | 0.0961844 | + | 0.166596i | ||||
\(392\) | 33.3205 | + | 8.92820i | 1.68294 | + | 0.450942i | ||||
\(393\) | −11.7058 | − | 6.75833i | −0.590478 | − | 0.340913i | ||||
\(394\) | −20.7846 | + | 12.0000i | −1.04711 | + | 0.604551i | ||||
\(395\) | 4.39230 | + | 2.19615i | 0.221001 | + | 0.110500i | ||||
\(396\) | − | 12.0000i | − | 0.603023i | ||||||
\(397\) | 0.803848 | + | 0.803848i | 0.0403440 | + | 0.0403440i | 0.726991 | − | 0.686647i | \(-0.240918\pi\) |
−0.686647 | + | 0.726991i | \(0.740918\pi\) | |||||||
\(398\) | −1.53590 | + | 5.73205i | −0.0769876 | + | 0.287322i | ||||
\(399\) | 25.3923 | + | 25.3923i | 1.27121 | + | 1.27121i | ||||
\(400\) | 12.0000 | + | 16.0000i | 0.600000 | + | 0.800000i | ||||
\(401\) | −31.3923 | + | 18.1244i | −1.56766 | + | 0.905087i | −0.571215 | + | 0.820800i | \(0.693528\pi\) |
−0.996442 | + | 0.0842869i | \(0.973139\pi\) | |||||||
\(402\) | − | 18.5885i | − | 0.927108i | ||||||
\(403\) | −3.80385 | − | 14.1962i | −0.189483 | − | 0.707161i | ||||
\(404\) | −3.46410 | + | 2.00000i | −0.172345 | + | 0.0995037i | ||||
\(405\) | −11.0885 | − | 16.7942i | −0.550990 | − | 0.834512i | ||||
\(406\) | 9.90192 | − | 17.1506i | 0.491424 | − | 0.851172i | ||||
\(407\) | −1.26795 | + | 0.339746i | −0.0628499 | + | 0.0168406i | ||||
\(408\) | 10.3923 | + | 18.0000i | 0.514496 | + | 0.891133i | ||||
\(409\) | 5.19615 | − | 3.00000i | 0.256933 | − | 0.148340i | −0.366002 | − | 0.930614i | \(-0.619274\pi\) |
0.622935 | + | 0.782274i | \(0.285940\pi\) | |||||||
\(410\) | 19.3923 | − | 6.46410i | 0.957718 | − | 0.319239i | ||||
\(411\) | −16.3923 | + | 16.3923i | −0.808573 | + | 0.808573i | ||||
\(412\) | 22.7846 | − | 22.7846i | 1.12252 | − | 1.12252i | ||||
\(413\) | 5.58846 | + | 5.58846i | 0.274990 | + | 0.274990i | ||||
\(414\) | −3.29423 | + | 1.90192i | −0.161903 | + | 0.0934745i | ||||
\(415\) | −24.8827 | + | 8.29423i | −1.22144 | + | 0.407148i | ||||
\(416\) | 10.1436i | 0.497331i | ||||||||
\(417\) | 10.3923 | + | 6.00000i | 0.508913 | + | 0.293821i | ||||
\(418\) | 9.46410 | − | 9.46410i | 0.462904 | − | 0.462904i | ||||
\(419\) | 10.7321 | − | 6.19615i | 0.524295 | − | 0.302702i | −0.214395 | − | 0.976747i | \(-0.568778\pi\) |
0.738690 | + | 0.674045i | \(0.235445\pi\) | |||||||
\(420\) | −10.7321 | − | 32.1962i | −0.523670 | − | 1.57101i | ||||
\(421\) | 4.60770 | + | 2.66025i | 0.224565 | + | 0.129653i | 0.608062 | − | 0.793889i | \(-0.291947\pi\) |
−0.383497 | + | 0.923542i | \(0.625280\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.20577 | + | 4.50000i | −0.0586266 | + | 0.218797i | ||||
\(424\) | 20.7846i | 1.00939i | ||||||||
\(425\) | 16.6865 | + | 13.0981i | 0.809416 | + | 0.635350i | ||||
\(426\) | −7.60770 | − | 28.3923i | −0.368594 | − | 1.37561i | ||||
\(427\) | −16.6244 | + | 62.0429i | −0.804509 | + | 3.00247i | ||||
\(428\) | −16.6603 | + | 4.46410i | −0.805304 | + | 0.215780i | ||||
\(429\) | 1.60770 | − | 6.00000i | 0.0776203 | − | 0.289683i | ||||
\(430\) | −1.73205 | − | 28.8564i | −0.0835269 | − | 1.39158i | ||||
\(431\) | 22.0526i | 1.06223i | 0.847298 | + | 0.531117i | \(0.178228\pi\) | ||||
−0.847298 | + | 0.531117i | \(0.821772\pi\) | |||||||
\(432\) | −18.0000 | + | 10.3923i | −0.866025 | + | 0.500000i | ||||
\(433\) | −15.3923 | − | 15.3923i | −0.739707 | − | 0.739707i | 0.232814 | − | 0.972521i | \(-0.425207\pi\) |
−0.972521 | + | 0.232814i | \(0.925207\pi\) | |||||||
\(434\) | 43.9808 | − | 25.3923i | 2.11114 | − | 1.21887i | ||||
\(435\) | −12.3564 | + | 0.741670i | −0.592444 | + | 0.0355603i | ||||
\(436\) | 15.0000 | + | 8.66025i | 0.718370 | + | 0.414751i | ||||
\(437\) | −4.09808 | − | 1.09808i | −0.196038 | − | 0.0525281i | ||||
\(438\) | −30.5885 | − | 17.6603i | −1.46157 | − | 0.843840i | ||||
\(439\) | 16.2679 | + | 9.39230i | 0.776427 | + | 0.448270i | 0.835162 | − | 0.550003i | \(-0.185374\pi\) |
−0.0587356 | + | 0.998274i | \(0.518707\pi\) | |||||||
\(440\) | −12.0000 | + | 4.00000i | −0.572078 | + | 0.190693i | ||||
\(441\) | 36.5885i | 1.74231i | ||||||||
\(442\) | 2.78461 | + | 10.3923i | 0.132450 | + | 0.494312i | ||||
\(443\) | 37.2846 | − | 9.99038i | 1.77145 | − | 0.474657i | 0.782464 | − | 0.622696i | \(-0.213963\pi\) |
0.988982 | + | 0.148039i | \(0.0472961\pi\) | |||||||
\(444\) | 1.60770 | + | 1.60770i | 0.0762978 | + | 0.0762978i | ||||
\(445\) | 5.93782 | − | 0.356406i | 0.281480 | − | 0.0168953i | ||||
\(446\) | 24.1962 | 1.14572 | ||||||||
\(447\) | 6.06218 | − | 10.5000i | 0.286731 | − | 0.496633i | ||||
\(448\) | −33.8564 | + | 9.07180i | −1.59956 | + | 0.428602i | ||||
\(449\) | −32.7846 | −1.54720 | −0.773601 | − | 0.633673i | \(-0.781546\pi\) | ||||
−0.773601 | + | 0.633673i | \(0.781546\pi\) | |||||||
\(450\) | −13.0981 | + | 16.6865i | −0.617449 | + | 0.786611i | ||||
\(451\) | 12.9282i | 0.608765i | ||||||||
\(452\) | 2.53590 | + | 2.53590i | 0.119279 | + | 0.119279i | ||||
\(453\) | 27.7128i | 1.30206i | ||||||||
\(454\) | 14.7846i | 0.693876i | ||||||||
\(455\) | −1.05256 | − | 17.5359i | −0.0493447 | − | 0.822096i | ||||
\(456\) | −22.3923 | − | 6.00000i | −1.04862 | − | 0.280976i | ||||
\(457\) | −2.63397 | − | 9.83013i | −0.123212 | − | 0.459834i | 0.876558 | − | 0.481297i | \(-0.159834\pi\) |
−0.999770 | + | 0.0214632i | \(0.993168\pi\) | |||||||
\(458\) | −4.22243 | − | 15.7583i | −0.197301 | − | 0.736338i | ||||
\(459\) | −15.5885 | + | 15.5885i | −0.727607 | + | 0.727607i | ||||
\(460\) | 3.00000 | + | 2.66025i | 0.139876 | + | 0.124035i | ||||
\(461\) | 6.79423 | − | 11.7679i | 0.316439 | − | 0.548088i | −0.663304 | − | 0.748350i | \(-0.730846\pi\) |
0.979742 | + | 0.200262i | \(0.0641795\pi\) | |||||||
\(462\) | 21.4641 | 0.998600 | ||||||||
\(463\) | −1.75833 | + | 6.56218i | −0.0817165 | + | 0.304970i | −0.994672 | − | 0.103089i | \(-0.967127\pi\) |
0.912956 | + | 0.408059i | \(0.133794\pi\) | |||||||
\(464\) | 12.7846i | 0.593511i | ||||||||
\(465\) | −28.3923 | − | 14.1962i | −1.31666 | − | 0.658331i | ||||
\(466\) | −31.3923 | + | 18.1244i | −1.45422 | + | 0.839595i | ||||
\(467\) | −8.60770 | + | 8.60770i | −0.398317 | + | 0.398317i | −0.877639 | − | 0.479322i | \(-0.840882\pi\) |
0.479322 | + | 0.877639i | \(0.340882\pi\) | |||||||
\(468\) | −10.3923 | + | 2.78461i | −0.480384 | + | 0.128719i | ||||
\(469\) | 33.2487 | 1.53528 | ||||||||
\(470\) | 4.90192 | − | 0.294229i | 0.226109 | − | 0.0135718i | ||||
\(471\) | 5.70577 | + | 21.2942i | 0.262908 | + | 0.981186i | ||||
\(472\) | −4.92820 | − | 1.32051i | −0.226839 | − | 0.0607813i | ||||
\(473\) | 17.6603 | + | 4.73205i | 0.812019 | + | 0.217580i | ||||
\(474\) | 5.19615 | + | 1.39230i | 0.238667 | + | 0.0639507i | ||||
\(475\) | −23.4904 | + | 2.83013i | −1.07781 | + | 0.129855i | ||||
\(476\) | −32.1962 | + | 18.5885i | −1.47571 | + | 0.852001i | ||||
\(477\) | −21.2942 | + | 5.70577i | −0.974996 | + | 0.261249i | ||||
\(478\) | 6.92820 | + | 25.8564i | 0.316889 | + | 1.18264i | ||||
\(479\) | 10.5622 | − | 18.2942i | 0.482598 | − | 0.835885i | −0.517202 | − | 0.855863i | \(-0.673026\pi\) |
0.999800 | + | 0.0199786i | \(0.00635981\pi\) | |||||||
\(480\) | 16.3923 | + | 14.5359i | 0.748203 | + | 0.663470i | ||||
\(481\) | 0.588457 | + | 1.01924i | 0.0268313 | + | 0.0464732i | ||||
\(482\) | −18.8038 | + | 18.8038i | −0.856492 | + | 0.856492i | ||||
\(483\) | −3.40192 | − | 5.89230i | −0.154793 | − | 0.268109i | ||||
\(484\) | 14.0000i | 0.636364i | ||||||||
\(485\) | 5.00000 | + | 15.0000i | 0.227038 | + | 0.681115i | ||||
\(486\) | −15.5885 | − | 15.5885i | −0.707107 | − | 0.707107i | ||||
\(487\) | 3.39230 | − | 3.39230i | 0.153720 | − | 0.153720i | −0.626057 | − | 0.779777i | \(-0.715332\pi\) |
0.779777 | + | 0.626057i | \(0.215332\pi\) | |||||||
\(488\) | −10.7321 | − | 40.0526i | −0.485817 | − | 1.81309i | ||||
\(489\) | −4.09808 | + | 15.2942i | −0.185321 | + | 0.691629i | ||||
\(490\) | 36.5885 | − | 12.1962i | 1.65290 | − | 0.550966i | ||||
\(491\) | 12.3923 | + | 21.4641i | 0.559257 | + | 0.968661i | 0.997559 | + | 0.0698335i | \(0.0222468\pi\) |
−0.438302 | + | 0.898828i | \(0.644420\pi\) | |||||||
\(492\) | 19.3923 | − | 11.1962i | 0.874273 | − | 0.504762i | ||||
\(493\) | 3.50962 | + | 13.0981i | 0.158065 | + | 0.589908i | ||||
\(494\) | −10.3923 | − | 6.00000i | −0.467572 | − | 0.269953i | ||||
\(495\) | −7.39230 | − | 11.1962i | −0.332259 | − | 0.503230i | ||||
\(496\) | −16.3923 | + | 28.3923i | −0.736036 | + | 1.27485i | ||||
\(497\) | 50.7846 | − | 13.6077i | 2.27800 | − | 0.610389i | ||||
\(498\) | −24.8827 | + | 14.3660i | −1.11502 | + | 0.643757i | ||||
\(499\) | −13.3923 | − | 23.1962i | −0.599522 | − | 1.03840i | −0.992892 | − | 0.119022i | \(-0.962024\pi\) |
0.393370 | − | 0.919380i | \(-0.371309\pi\) | |||||||
\(500\) | 21.0526 | + | 7.53590i | 0.941499 | + | 0.337016i | ||||
\(501\) | 8.30385 | + | 30.9904i | 0.370989 | + | 1.38455i | ||||
\(502\) | 36.3205 | + | 9.73205i | 1.62106 | + | 0.434363i | ||||
\(503\) | −3.97372 | + | 3.97372i | −0.177179 | + | 0.177179i | −0.790125 | − | 0.612946i | \(-0.789984\pi\) |
0.612946 | + | 0.790125i | \(0.289984\pi\) | |||||||
\(504\) | −18.5885 | − | 32.1962i | −0.827996 | − | 1.43413i | ||||
\(505\) | −2.00000 | + | 4.00000i | −0.0889988 | + | 0.177998i | ||||
\(506\) | −2.19615 | + | 1.26795i | −0.0976309 | + | 0.0563672i | ||||
\(507\) | 16.9474 | 0.752662 | ||||||||
\(508\) | 16.1244 | − | 4.32051i | 0.715403 | − | 0.191692i | ||||
\(509\) | −6.57180 | + | 3.79423i | −0.291290 | + | 0.168176i | −0.638523 | − | 0.769602i | \(-0.720454\pi\) |
0.347234 | + | 0.937779i | \(0.387121\pi\) | |||||||
\(510\) | 20.7846 | + | 10.3923i | 0.920358 | + | 0.460179i | ||||
\(511\) | 31.5885 | − | 54.7128i | 1.39739 | − | 2.42035i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.707107 | − | 0.707107i | ||||
\(513\) | − | 24.5885i | − | 1.08561i | ||||||
\(514\) | 11.5359 | − | 19.9808i | 0.508827 | − | 0.881314i | ||||
\(515\) | 7.22243 | − | 35.2942i | 0.318258 | − | 1.55525i | ||||
\(516\) | −8.19615 | − | 30.5885i | −0.360815 | − | 1.34658i | ||||
\(517\) | −0.803848 | + | 3.00000i | −0.0353532 | + | 0.131940i | ||||
\(518\) | −2.87564 | + | 2.87564i | −0.126349 | + | 0.126349i | ||||
\(519\) | −3.46410 | + | 3.46410i | −0.152057 | + | 0.152057i | ||||
\(520\) | 6.24871 | + | 9.46410i | 0.274024 | + | 0.415028i | ||||
\(521\) | − | 14.6603i | − | 0.642277i | −0.947032 | − | 0.321139i | \(-0.895934\pi\) | ||
0.947032 | − | 0.321139i | \(-0.104066\pi\) | |||||||
\(522\) | −13.0981 | + | 3.50962i | −0.573287 | + | 0.153612i | ||||
\(523\) | 1.56218 | − | 1.56218i | 0.0683093 | − | 0.0683093i | −0.672127 | − | 0.740436i | \(-0.734619\pi\) |
0.740436 | + | 0.672127i | \(0.234619\pi\) | |||||||
\(524\) | 15.6077i | 0.681825i | ||||||||
\(525\) | −29.8468 | − | 23.4282i | −1.30262 | − | 1.02249i | ||||
\(526\) | − | 19.8564i | − | 0.865780i | ||||||
\(527\) | −9.00000 | + | 33.5885i | −0.392046 | + | 1.46314i | ||||
\(528\) | −12.0000 | + | 6.92820i | −0.522233 | + | 0.301511i | ||||
\(529\) | −19.2224 | − | 11.0981i | −0.835758 | − | 0.482525i | ||||
\(530\) | 12.8038 | + | 19.3923i | 0.556164 | + | 0.842348i | ||||
\(531\) | − | 5.41154i | − | 0.234841i | ||||||
\(532\) | 10.7321 | − | 40.0526i | 0.465293 | − | 1.73650i | ||||
\(533\) | 11.1962 | − | 3.00000i | 0.484959 | − | 0.129944i | ||||
\(534\) | 6.29423 | − | 1.68653i | 0.272378 | − | 0.0729834i | ||||
\(535\) | −12.7942 | + | 14.4282i | −0.553143 | + | 0.623786i | ||||
\(536\) | −18.5885 | + | 10.7321i | −0.802899 | + | 0.463554i | ||||
\(537\) | 5.53590 | + | 9.58846i | 0.238892 | + | 0.413772i | ||||
\(538\) | 0.366025 | − | 1.36603i | 0.0157805 | − | 0.0588935i | ||||
\(539\) | 24.3923i | 1.05065i | ||||||||
\(540\) | −10.3923 | + | 20.7846i | −0.447214 | + | 0.894427i | ||||
\(541\) | 12.4641i | 0.535874i | 0.963436 | + | 0.267937i | \(0.0863418\pi\) | ||||
−0.963436 | + | 0.267937i | \(0.913658\pi\) | |||||||
\(542\) | −6.26795 | − | 1.67949i | −0.269231 | − | 0.0721404i | ||||
\(543\) | 2.59808 | + | 4.50000i | 0.111494 | + | 0.193113i | ||||
\(544\) | 12.0000 | − | 20.7846i | 0.514496 | − | 0.891133i | ||||
\(545\) | 19.3301 | − | 1.16025i | 0.828012 | − | 0.0496998i | ||||
\(546\) | −4.98076 | − | 18.5885i | −0.213157 | − | 0.795513i | ||||
\(547\) | −26.5526 | + | 7.11474i | −1.13531 | + | 0.304204i | −0.777062 | − | 0.629424i | \(-0.783291\pi\) |
−0.358243 | + | 0.933628i | \(0.616624\pi\) | |||||||
\(548\) | 25.8564 | + | 6.92820i | 1.10453 | + | 0.295958i | ||||
\(549\) | 38.0885 | − | 21.9904i | 1.62558 | − | 0.938527i | ||||
\(550\) | −8.73205 | + | 11.1244i | −0.372336 | + | 0.474344i | ||||
\(551\) | −13.0981 | − | 7.56218i | −0.557997 | − | 0.322160i | ||||
\(552\) | 3.80385 | + | 2.19615i | 0.161903 | + | 0.0934745i | ||||
\(553\) | −2.49038 | + | 9.29423i | −0.105902 | + | 0.395231i | ||||
\(554\) | −12.9282 | −0.549267 | ||||||||
\(555\) | 2.49038 | + | 0.509619i | 0.105711 | + | 0.0216321i | ||||
\(556\) | − | 13.8564i | − | 0.587643i | ||||||
\(557\) | 0.803848 | − | 0.803848i | 0.0340601 | − | 0.0340601i | −0.689872 | − | 0.723932i | \(-0.742333\pi\) |
0.723932 | + | 0.689872i | \(0.242333\pi\) | |||||||
\(558\) | −33.5885 | − | 9.00000i | −1.42191 | − | 0.381000i | ||||
\(559\) | − | 16.3923i | − | 0.693321i | ||||||
\(560\) | −26.0000 | + | 29.3205i | −1.09870 | + | 1.23902i | ||||
\(561\) | −10.3923 | + | 10.3923i | −0.438763 | + | 0.438763i | ||||
\(562\) | 2.07180 | + | 2.07180i | 0.0873935 | + | 0.0873935i | ||||
\(563\) | −8.59808 | + | 32.0885i | −0.362366 | + | 1.35237i | 0.508591 | + | 0.861008i | \(0.330166\pi\) |
−0.870957 | + | 0.491359i | \(0.836500\pi\) | |||||||
\(564\) | 5.19615 | − | 1.39230i | 0.218797 | − | 0.0586266i | ||||
\(565\) | 3.92820 | + | 0.803848i | 0.165261 | + | 0.0338181i | ||||
\(566\) | 5.70577 | + | 3.29423i | 0.239831 | + | 0.138467i | ||||
\(567\) | 27.8827 | − | 27.8827i | 1.17096 | − | 1.17096i | ||||
\(568\) | −24.0000 | + | 24.0000i | −1.00702 | + | 1.00702i | ||||
\(569\) | −1.26795 | + | 2.19615i | −0.0531552 | + | 0.0920675i | −0.891379 | − | 0.453259i | \(-0.850261\pi\) |
0.838223 | + | 0.545327i | \(0.183594\pi\) | |||||||
\(570\) | −24.5885 | + | 8.19615i | −1.02990 | + | 0.343299i | ||||
\(571\) | 3.00000 | − | 1.73205i | 0.125546 | − | 0.0724841i | −0.435912 | − | 0.899989i | \(-0.643574\pi\) |
0.561458 | + | 0.827505i | \(0.310241\pi\) | |||||||
\(572\) | −6.92820 | + | 1.85641i | −0.289683 | + | 0.0776203i | ||||
\(573\) | 32.1962 | 1.34501 | ||||||||
\(574\) | 20.0263 | + | 34.6865i | 0.835881 | + | 1.44779i | ||||
\(575\) | 4.43782 | + | 0.633975i | 0.185070 | + | 0.0264386i | ||||
\(576\) | 20.7846 | + | 12.0000i | 0.866025 | + | 0.500000i | ||||
\(577\) | 5.39230 | − | 5.39230i | 0.224485 | − | 0.224485i | −0.585899 | − | 0.810384i | \(-0.699259\pi\) |
0.810384 | + | 0.585899i | \(0.199259\pi\) | |||||||
\(578\) | 0.366025 | − | 1.36603i | 0.0152246 | − | 0.0568192i | ||||
\(579\) | −6.33975 | − | 23.6603i | −0.263471 | − | 0.983287i | ||||
\(580\) | 7.87564 | + | 11.9282i | 0.327018 | + | 0.495292i | ||||
\(581\) | −25.6962 | − | 44.5070i | −1.06606 | − | 1.84646i | ||||
\(582\) | 8.66025 | + | 15.0000i | 0.358979 | + | 0.621770i | ||||
\(583\) | −14.1962 | + | 3.80385i | −0.587945 | + | 0.157539i | ||||
\(584\) | 40.7846i | 1.68768i | ||||||||
\(585\) | −7.98076 | + | 9.00000i | −0.329964 | + | 0.372104i | ||||
\(586\) | 0.803848 | − | 1.39230i | 0.0332066 | − | 0.0575156i | ||||
\(587\) | −8.74871 | − | 32.6506i | −0.361098 | − | 1.34764i | −0.872634 | − | 0.488374i | \(-0.837590\pi\) |
0.511536 | − | 0.859262i | \(-0.329077\pi\) | |||||||
\(588\) | 36.5885 | − | 21.1244i | 1.50888 | − | 0.871154i | ||||
\(589\) | −19.3923 | − | 33.5885i | −0.799046 | − | 1.38399i | ||||
\(590\) | −5.41154 | + | 1.80385i | −0.222790 | + | 0.0742632i | ||||
\(591\) | −7.60770 | + | 28.3923i | −0.312939 | + | 1.16790i | ||||
\(592\) | 0.679492 | − | 2.53590i | 0.0279269 | − | 0.104225i | ||||
\(593\) | −14.6603 | + | 14.6603i | −0.602024 | + | 0.602024i | −0.940849 | − | 0.338825i | \(-0.889971\pi\) |
0.338825 | + | 0.940849i | \(0.389971\pi\) | |||||||
\(594\) | −10.3923 | − | 10.3923i | −0.426401 | − | 0.426401i | ||||
\(595\) | −18.5885 | + | 37.1769i | −0.762052 | + | 1.52410i | ||||
\(596\) | −14.0000 | −0.573462 | ||||||||
\(597\) | 3.63397 | + | 6.29423i | 0.148729 | + | 0.257606i | ||||
\(598\) | 1.60770 | + | 1.60770i | 0.0657435 | + | 0.0657435i | ||||
\(599\) | 15.2942 | + | 26.4904i | 0.624905 | + | 1.08237i | 0.988559 | + | 0.150834i | \(0.0481957\pi\) |
−0.363654 | + | 0.931534i | \(0.618471\pi\) | |||||||
\(600\) | 24.2487 | + | 3.46410i | 0.989949 | + | 0.141421i | ||||
\(601\) | −21.1962 | + | 36.7128i | −0.864609 | + | 1.49755i | 0.00282571 | + | 0.999996i | \(0.499101\pi\) |
−0.867435 | + | 0.497551i | \(0.834233\pi\) | |||||||
\(602\) | 54.7128 | − | 14.6603i | 2.22993 | − | 0.597507i | ||||
\(603\) | −16.0981 | − | 16.0981i | −0.655564 | − | 0.655564i | ||||
\(604\) | 27.7128 | − | 16.0000i | 1.12762 | − | 0.651031i | ||||
\(605\) | 8.62436 | + | 13.0622i | 0.350630 | + | 0.531053i | ||||
\(606\) | −1.26795 | + | 4.73205i | −0.0515069 | + | 0.192226i | ||||
\(607\) | −28.2583 | − | 7.57180i | −1.14697 | − | 0.307330i | −0.365220 | − | 0.930921i | \(-0.619006\pi\) |
−0.781750 | + | 0.623592i | \(0.785673\pi\) | |||||||
\(608\) | 6.92820 | + | 25.8564i | 0.280976 | + | 1.04862i | ||||
\(609\) | −6.27757 | − | 23.4282i | −0.254380 | − | 0.949359i | ||||
\(610\) | −34.6865 | − | 30.7583i | −1.40442 | − | 1.24537i | ||||
\(611\) | 2.78461 | 0.112653 | ||||||||
\(612\) | 24.5885 | + | 6.58846i | 0.993929 | + | 0.266323i | ||||
\(613\) | −23.7846 | + | 23.7846i | −0.960651 | + | 0.960651i | −0.999255 | − | 0.0386033i | \(-0.987709\pi\) |
0.0386033 | + | 0.999255i | \(0.487709\pi\) | |||||||
\(614\) | 14.3660 | + | 24.8827i | 0.579766 | + | 1.00418i | ||||
\(615\) | 11.1962 | − | 22.3923i | 0.451472 | − | 0.902945i | ||||
\(616\) | −12.3923 | − | 21.4641i | −0.499300 | − | 0.864813i | ||||
\(617\) | 7.51666 | − | 28.0526i | 0.302609 | − | 1.12935i | −0.632374 | − | 0.774663i | \(-0.717920\pi\) |
0.934984 | − | 0.354691i | \(-0.115414\pi\) | |||||||
\(618\) | − | 39.4641i | − | 1.58748i | ||||||
\(619\) | 1.90192 | − | 3.29423i | 0.0764448 | − | 0.132406i | −0.825269 | − | 0.564740i | \(-0.808976\pi\) |
0.901714 | + | 0.432334i | \(0.142310\pi\) | |||||||
\(620\) | 2.19615 | + | 36.5885i | 0.0881996 | + | 1.46943i | ||||
\(621\) | −1.20577 | + | 4.50000i | −0.0483859 | + | 0.180579i | ||||
\(622\) | −19.3923 | + | 5.19615i | −0.777561 | + | 0.208347i | ||||
\(623\) | 3.01666 | + | 11.2583i | 0.120860 | + | 0.451055i | ||||
\(624\) | 8.78461 | + | 8.78461i | 0.351666 | + | 0.351666i | ||||
\(625\) | 24.2846 | − | 5.93782i | 0.971384 | − | 0.237513i | ||||
\(626\) | −21.1769 | −0.846400 | ||||||||
\(627\) | − | 16.3923i | − | 0.654646i | ||||||
\(628\) | 18.0000 | − | 18.0000i | 0.718278 | − | 0.718278i | ||||
\(629\) | − | 2.78461i | − | 0.111030i | ||||||
\(630\) | −37.1769 | − | 18.5885i | −1.48116 | − | 0.740582i | ||||
\(631\) | −18.0000 | −0.716569 | −0.358284 | − | 0.933613i | \(-0.616638\pi\) | ||||
−0.358284 | + | 0.933613i | \(0.616638\pi\) | |||||||
\(632\) | −1.60770 | − | 6.00000i | −0.0639507 | − | 0.238667i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | − | 20.0000i | − | 0.794301i | ||||||
\(635\) | 12.3827 | − | 13.9641i | 0.491392 | − | 0.554148i | ||||
\(636\) | 18.0000 | + | 18.0000i | 0.713746 | + | 0.713746i | ||||
\(637\) | 21.1244 | − | 5.66025i | 0.836977 | − | 0.224267i | ||||
\(638\) | −8.73205 | + | 2.33975i | −0.345705 | + | 0.0926314i | ||||
\(639\) | −31.1769 | − | 18.0000i | −1.23334 | − | 0.712069i | ||||
\(640\) | 5.07180 | − | 24.7846i | 0.200480 | − | 0.979698i | ||||
\(641\) | −36.1865 | − | 20.8923i | −1.42928 | − | 0.825196i | −0.432218 | − | 0.901769i | \(-0.642269\pi\) |
−0.997064 | + | 0.0765727i | \(0.975602\pi\) | |||||||
\(642\) | −10.5622 | + | 18.2942i | −0.416856 | + | 0.722016i | ||||
\(643\) | 25.7942 | + | 6.91154i | 1.01723 | + | 0.272565i | 0.728645 | − | 0.684891i | \(-0.240150\pi\) |
0.288580 | + | 0.957456i | \(0.406817\pi\) | |||||||
\(644\) | −3.92820 | + | 6.80385i | −0.154793 | + | 0.268109i | ||||
\(645\) | −26.4904 | − | 23.4904i | −1.04306 | − | 0.924933i | ||||
\(646\) | 14.1962 | + | 24.5885i | 0.558540 | + | 0.967420i | ||||
\(647\) | 19.6865 | + | 19.6865i | 0.773957 | + | 0.773957i | 0.978796 | − | 0.204838i | \(-0.0656669\pi\) |
−0.204838 | + | 0.978796i | \(0.565667\pi\) | |||||||
\(648\) | −6.58846 | + | 24.5885i | −0.258819 | + | 0.965926i | ||||
\(649\) | − | 3.60770i | − | 0.141614i | ||||||
\(650\) | 11.6603 | + | 4.98076i | 0.457353 | + | 0.195362i | ||||
\(651\) | 16.0981 | − | 60.0788i | 0.630933 | − | 2.35468i | ||||
\(652\) | 17.6603 | − | 4.73205i | 0.691629 | − | 0.185321i | ||||
\(653\) | 7.83013 | − | 29.2224i | 0.306417 | − | 1.14356i | −0.625303 | − | 0.780382i | \(-0.715024\pi\) |
0.931719 | − | 0.363180i | \(-0.118309\pi\) | |||||||
\(654\) | 20.4904 | − | 5.49038i | 0.801237 | − | 0.214691i | ||||
\(655\) | 9.61474 | + | 14.5622i | 0.375679 | + | 0.568991i | ||||
\(656\) | −22.3923 | − | 12.9282i | −0.874273 | − | 0.504762i | ||||
\(657\) | −41.7846 | + | 11.1962i | −1.63017 | + | 0.436804i | ||||
\(658\) | 2.49038 | + | 9.29423i | 0.0970852 | + | 0.362327i | ||||
\(659\) | −10.7321 | − | 6.19615i | −0.418061 | − | 0.241368i | 0.276186 | − | 0.961104i | \(-0.410929\pi\) |
−0.694248 | + | 0.719736i | \(0.744263\pi\) | |||||||
\(660\) | −6.92820 | + | 13.8564i | −0.269680 | + | 0.539360i | ||||
\(661\) | −6.00000 | + | 3.46410i | −0.233373 | + | 0.134738i | −0.612127 | − | 0.790759i | \(-0.709686\pi\) |
0.378754 | + | 0.925497i | \(0.376353\pi\) | |||||||
\(662\) | −0.588457 | − | 0.588457i | −0.0228710 | − | 0.0228710i | ||||
\(663\) | 11.4115 | + | 6.58846i | 0.443188 | + | 0.255874i | ||||
\(664\) | 28.7321 | + | 16.5885i | 1.11502 | + | 0.643757i | ||||
\(665\) | −14.6603 | − | 43.9808i | −0.568500 | − | 1.70550i | ||||
\(666\) | 2.78461 | 0.107901 | ||||||||
\(667\) | 2.02628 | + | 2.02628i | 0.0784579 | + | 0.0784579i | ||||
\(668\) | 26.1962 | − | 26.1962i | 1.01356 | − | 1.01356i | ||||
\(669\) | 20.9545 | − | 20.9545i | 0.810147 | − | 0.810147i | ||||
\(670\) | −10.7321 | + | 21.4641i | −0.414615 | + | 0.829231i | ||||
\(671\) | 25.3923 | − | 14.6603i | 0.980259 | − | 0.565953i | ||||
\(672\) | −21.4641 | + | 37.1769i | −0.827996 | + | 1.43413i | ||||
\(673\) | 4.66025 | − | 1.24871i | 0.179640 | − | 0.0481343i | −0.167878 | − | 0.985808i | \(-0.553691\pi\) |
0.347517 | + | 0.937674i | \(0.387025\pi\) | |||||||
\(674\) | 0.339746 | + | 0.196152i | 0.0130865 | + | 0.00755551i | ||||
\(675\) | 3.10770 | + | 25.7942i | 0.119615 | + | 0.992820i | ||||
\(676\) | −9.78461 | − | 16.9474i | −0.376331 | − | 0.651825i | ||||
\(677\) | 10.5359 | + | 39.3205i | 0.404927 | + | 1.51121i | 0.804189 | + | 0.594373i | \(0.202600\pi\) |
−0.399262 | + | 0.916837i | \(0.630734\pi\) | |||||||
\(678\) | 4.39230 | 0.168685 | ||||||||
\(679\) | −26.8301 | + | 15.4904i | −1.02965 | + | 0.594466i | ||||
\(680\) | −1.60770 | − | 26.7846i | −0.0616523 | − | 1.02714i | ||||
\(681\) | 12.8038 | + | 12.8038i | 0.490645 | + | 0.490645i | ||||
\(682\) | −22.3923 | − | 6.00000i | −0.857446 | − | 0.229752i | ||||
\(683\) | −7.00000 | − | 7.00000i | −0.267848 | − | 0.267848i | 0.560385 | − | 0.828232i | \(-0.310653\pi\) |
−0.828232 | + | 0.560385i | \(0.810653\pi\) | |||||||
\(684\) | −24.5885 | + | 14.1962i | −0.940163 | + | 0.542803i | ||||
\(685\) | 28.3923 | − | 9.46410i | 1.08481 | − | 0.361605i | ||||
\(686\) | 16.0981 | + | 27.8827i | 0.614627 | + | 1.06457i | ||||
\(687\) | −17.3038 | − | 9.99038i | −0.660183 | − | 0.381157i | ||||
\(688\) | −25.8564 | + | 25.8564i | −0.985766 | + | 0.985766i | ||||
\(689\) | 6.58846 | + | 11.4115i | 0.251000 | + | 0.434745i | ||||
\(690\) | 4.90192 | − | 0.294229i | 0.186613 | − | 0.0112011i | ||||
\(691\) | 40.4711 | + | 23.3660i | 1.53959 | + | 0.888885i | 0.998862 | + | 0.0476910i | \(0.0151863\pi\) |
0.540733 | + | 0.841194i | \(0.318147\pi\) | |||||||
\(692\) | 5.46410 | + | 1.46410i | 0.207714 | + | 0.0556568i | ||||
\(693\) | 18.5885 | − | 18.5885i | 0.706117 | − | 0.706117i | ||||
\(694\) | 9.00000 | + | 5.19615i | 0.341635 | + | 0.197243i | ||||
\(695\) | −8.53590 | − | 12.9282i | −0.323785 | − | 0.490395i | ||||
\(696\) | 11.0718 | + | 11.0718i | 0.419675 | + | 0.419675i | ||||
\(697\) | −26.4904 | − | 7.09808i | −1.00339 | − | 0.268859i | ||||
\(698\) | 36.4641 | − | 36.4641i | 1.38019 | − | 1.38019i | ||||
\(699\) | −11.4904 | + | 42.8827i | −0.434606 | + | 1.62197i | ||||
\(700\) | −6.19615 | + | 43.3731i | −0.234193 | + | 1.63935i | ||||
\(701\) | 50.1769 | 1.89516 | 0.947578 | − | 0.319525i | \(-0.103523\pi\) | ||||
0.947578 | + | 0.319525i | \(0.103523\pi\) | |||||||
\(702\) | −6.58846 | + | 11.4115i | −0.248665 | + | 0.430701i | ||||
\(703\) | 2.19615 | + | 2.19615i | 0.0828295 | + | 0.0828295i | ||||
\(704\) | 13.8564 | + | 8.00000i | 0.522233 | + | 0.301511i | ||||
\(705\) | 3.99038 | − | 4.50000i | 0.150286 | − | 0.169480i | ||||
\(706\) | − | 18.9282i | − | 0.712372i | ||||||
\(707\) | −8.46410 | − | 2.26795i | −0.318325 | − | 0.0852950i | ||||
\(708\) | −5.41154 | + | 3.12436i | −0.203378 | + | 0.117420i | ||||
\(709\) | 9.57180 | − | 16.5788i | 0.359476 | − | 0.622631i | −0.628397 | − | 0.777893i | \(-0.716289\pi\) |
0.987873 | + | 0.155261i | \(0.0496220\pi\) | |||||||
\(710\) | −7.60770 | + | 37.1769i | −0.285512 | + | 1.39522i | ||||
\(711\) | 5.70577 | − | 3.29423i | 0.213983 | − | 0.123543i | ||||
\(712\) | −5.32051 | − | 5.32051i | −0.199394 | − | 0.199394i | ||||
\(713\) | 1.90192 | + | 7.09808i | 0.0712276 | + | 0.265825i | ||||
\(714\) | −11.7846 | + | 43.9808i | −0.441028 | + | 1.64594i | ||||
\(715\) | −5.32051 | + | 6.00000i | −0.198976 | + | 0.224387i | ||||
\(716\) | 6.39230 | − | 11.0718i | 0.238892 | − | 0.413772i | ||||
\(717\) | 28.3923 | + | 16.3923i | 1.06033 | + | 0.612182i | ||||
\(718\) | 3.00000 | + | 0.803848i | 0.111959 | + | 0.0299993i | ||||
\(719\) | −1.51666 | −0.0565619 | −0.0282809 | − | 0.999600i | \(-0.509003\pi\) | ||||
−0.0282809 | + | 0.999600i | \(0.509003\pi\) | |||||||
\(720\) | 26.7846 | − | 1.60770i | 0.998203 | − | 0.0599153i | ||||
\(721\) | 70.5885 | 2.62885 | ||||||||
\(722\) | −4.63397 | − | 1.24167i | −0.172459 | − | 0.0462102i | ||||
\(723\) | 32.5692i | 1.21126i | ||||||||
\(724\) | 3.00000 | − | 5.19615i | 0.111494 | − | 0.193113i | ||||
\(725\) | 14.6962 | + | 6.27757i | 0.545801 | + | 0.233143i | ||||
\(726\) | 12.1244 | + | 12.1244i | 0.449977 | + | 0.449977i | ||||
\(727\) | −0.767949 | − | 2.86603i | −0.0284817 | − | 0.106295i | 0.950222 | − | 0.311574i | \(-0.100856\pi\) |
−0.978703 | + | 0.205279i | \(0.934190\pi\) | |||||||
\(728\) | −15.7128 | + | 15.7128i | −0.582356 | + | 0.582356i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 25.1244 | + | 38.0526i | 0.929894 | + | 1.40839i | ||||
\(731\) | −19.3923 | + | 33.5885i | −0.717250 | + | 1.24231i | ||||
\(732\) | −43.9808 | − | 25.3923i | −1.62558 | − | 0.938527i | ||||
\(733\) | 10.5622 | + | 2.83013i | 0.390123 | + | 0.104533i | 0.448548 | − | 0.893759i | \(-0.351941\pi\) |
−0.0584252 | + | 0.998292i | \(0.518608\pi\) | |||||||
\(734\) | − | 14.0000i | − | 0.516749i | ||||||
\(735\) | 21.1244 | − | 42.2487i | 0.779184 | − | 1.55837i | ||||
\(736\) | − | 5.07180i | − | 0.186949i | ||||||
\(737\) | −10.7321 | − | 10.7321i | −0.395320 | − | 0.395320i | ||||
\(738\) | 7.09808 | − | 26.4904i | 0.261284 | − | 0.975124i | ||||
\(739\) | −22.7321 | −0.836212 | −0.418106 | − | 0.908398i | \(-0.637306\pi\) | ||||
−0.418106 | + | 0.908398i | \(0.637306\pi\) | |||||||
\(740\) | −0.928203 | − | 2.78461i | −0.0341214 | − | 0.102364i | ||||
\(741\) | −14.1962 | + | 3.80385i | −0.521509 | + | 0.139738i | ||||
\(742\) | −32.1962 | + | 32.1962i | −1.18196 | + | 1.18196i | ||||
\(743\) | −25.4545 | − | 6.82051i | −0.933834 | − | 0.250220i | −0.240345 | − | 0.970687i | \(-0.577261\pi\) |
−0.693489 | + | 0.720467i | \(0.743927\pi\) | |||||||
\(744\) | 10.3923 | + | 38.7846i | 0.381000 | + | 1.42191i | ||||
\(745\) | −13.0622 | + | 8.62436i | −0.478561 | + | 0.315972i | ||||
\(746\) | 4.60770 | + | 2.66025i | 0.168700 | + | 0.0973988i | ||||
\(747\) | −9.10770 | + | 33.9904i | −0.333233 | + | 1.24364i | ||||
\(748\) | 16.3923 | + | 4.39230i | 0.599362 | + | 0.160599i | ||||
\(749\) | −32.7224 | − | 18.8923i | −1.19565 | − | 0.690310i | ||||
\(750\) | 24.7583 | − | 11.7058i | 0.904046 | − | 0.427434i | ||||
\(751\) | −6.80385 | − | 11.7846i | −0.248276 | − | 0.430027i | 0.714772 | − | 0.699358i | \(-0.246531\pi\) |
−0.963048 | + | 0.269331i | \(0.913197\pi\) | |||||||
\(752\) | −4.39230 | − | 4.39230i | −0.160171 | − | 0.160171i | ||||
\(753\) | 39.8827 | − | 23.0263i | 1.45341 | − | 0.839124i | ||||
\(754\) | 4.05256 | + | 7.01924i | 0.147585 | + | 0.255626i | ||||
\(755\) | 16.0000 | − | 32.0000i | 0.582300 | − | 1.16460i | ||||
\(756\) | −43.9808 | − | 11.7846i | −1.59956 | − | 0.428602i | ||||
\(757\) | −34.0526 | − | 34.0526i | −1.23766 | − | 1.23766i | −0.960954 | − | 0.276707i | \(-0.910757\pi\) |
−0.276707 | − | 0.960954i | \(-0.589243\pi\) | |||||||
\(758\) | −45.2487 | − | 12.1244i | −1.64351 | − | 0.440376i | ||||
\(759\) | −0.803848 | + | 3.00000i | −0.0291778 | + | 0.108893i | ||||
\(760\) | 22.3923 | + | 19.8564i | 0.812254 | + | 0.720268i | ||||
\(761\) | 21.4808 | − | 12.4019i | 0.778677 | − | 0.449569i | −0.0572842 | − | 0.998358i | \(-0.518244\pi\) |
0.835961 | + | 0.548789i | \(0.184911\pi\) | |||||||
\(762\) | 10.2224 | − | 17.7058i | 0.370320 | − | 0.641412i | ||||
\(763\) | 9.82051 | + | 36.6506i | 0.355526 | + | 1.32684i | ||||
\(764\) | −18.5885 | − | 32.1962i | −0.672507 | − | 1.16482i | ||||
\(765\) | 27.0000 | − | 9.00000i | 0.976187 | − | 0.325396i | ||||
\(766\) | −35.1962 | − | 20.3205i | −1.27169 | − | 0.734210i | ||||
\(767\) | −3.12436 | + | 0.837169i | −0.112814 | + | 0.0302284i | ||||
\(768\) | − | 27.7128i | − | 1.00000i | ||||||
\(769\) | 29.9378 | − | 17.2846i | 1.07959 | − | 0.623299i | 0.148801 | − | 0.988867i | \(-0.452459\pi\) |
0.930785 | + | 0.365568i | \(0.119125\pi\) | |||||||
\(770\) | −24.7846 | − | 12.3923i | −0.893175 | − | 0.446588i | ||||
\(771\) | −7.31347 | − | 27.2942i | −0.263388 | − | 0.982978i | ||||
\(772\) | −20.0000 | + | 20.0000i | −0.719816 | + | 0.719816i | ||||
\(773\) | −16.1962 | − | 16.1962i | −0.582535 | − | 0.582535i | 0.353064 | − | 0.935599i | \(-0.385140\pi\) |
−0.935599 | + | 0.353064i | \(0.885140\pi\) | |||||||
\(774\) | −33.5885 | − | 19.3923i | −1.20731 | − | 0.697042i | ||||
\(775\) | 24.5885 | + | 32.7846i | 0.883243 | + | 1.17766i | ||||
\(776\) | 10.0000 | − | 17.3205i | 0.358979 | − | 0.621770i | ||||
\(777\) | 4.98076i | 0.178684i | ||||||||
\(778\) | 17.3923 | + | 17.3923i | 0.623544 | + | 0.623544i | ||||
\(779\) | 26.4904 | − | 15.2942i | 0.949116 | − | 0.547973i | ||||
\(780\) | 13.6077 | + | 2.78461i | 0.487234 | + | 0.0997050i | ||||
\(781\) | −20.7846 | − | 12.0000i | −0.743732 | − | 0.429394i | ||||
\(782\) | −1.39230 | − | 5.19615i | −0.0497887 | − | 0.185814i | ||||
\(783\) | −8.30385 | + | 14.3827i | −0.296755 | + | 0.513995i | ||||
\(784\) | −42.2487 | − | 24.3923i | −1.50888 | − | 0.871154i | ||||
\(785\) | 5.70577 | − | 27.8827i | 0.203648 | − | 0.995176i | ||||
\(786\) | 13.5167 | + | 13.5167i | 0.482123 | + | 0.482123i | ||||
\(787\) | −10.4378 | + | 38.9545i | −0.372068 | + | 1.38858i | 0.485513 | + | 0.874229i | \(0.338633\pi\) |
−0.857582 | + | 0.514348i | \(0.828034\pi\) | |||||||
\(788\) | 32.7846 | − | 8.78461i | 1.16790 | − | 0.312939i | ||||
\(789\) | −17.1962 | − | 17.1962i | −0.612199 | − | 0.612199i | ||||
\(790\) | −5.19615 | − | 4.60770i | −0.184871 | − | 0.163934i | ||||
\(791\) | 7.85641i | 0.279342i | ||||||||
\(792\) | −4.39230 | + | 16.3923i | −0.156074 | + | 0.582475i | ||||
\(793\) | −18.5885 | − | 18.5885i | −0.660095 | − | 0.660095i | ||||
\(794\) | −0.803848 | − | 1.39230i | −0.0285275 | − | 0.0494111i | ||||
\(795\) | 27.8827 | + | 5.70577i | 0.988897 | + | 0.202363i | ||||
\(796\) | 4.19615 | − | 7.26795i | 0.148729 | − | 0.257606i | ||||
\(797\) | 22.1244 | + | 5.92820i | 0.783685 | + | 0.209988i | 0.628409 | − | 0.777883i | \(-0.283707\pi\) |
0.155276 | + | 0.987871i | \(0.450373\pi\) | |||||||
\(798\) | −25.3923 | − | 43.9808i | −0.898878 | − | 1.55690i | ||||
\(799\) | −5.70577 | − | 3.29423i | −0.201856 | − | 0.116541i | ||||
\(800\) | −10.5359 | − | 26.2487i | −0.372500 | − | 0.928032i | ||||
\(801\) | 3.99038 | − | 6.91154i | 0.140993 | − | 0.244207i | ||||
\(802\) | 49.5167 | − | 13.2679i | 1.74849 | − | 0.468508i | ||||
\(803\) | −27.8564 | + | 7.46410i | −0.983031 | + | 0.263402i | ||||
\(804\) | −6.80385 | + | 25.3923i | −0.239953 | + | 0.895518i | ||||
\(805\) | 0.526279 | + | 8.76795i | 0.0185489 | + | 0.309030i | ||||
\(806\) | 20.7846i | 0.732107i | ||||||||
\(807\) | −0.866025 | − | 1.50000i | −0.0304855 | − | 0.0528025i | ||||
\(808\) | 5.46410 | − | 1.46410i | 0.192226 | − | 0.0515069i | ||||
\(809\) | −45.7128 | −1.60718 | −0.803588 | − | 0.595185i | \(-0.797079\pi\) | ||||
−0.803588 | + | 0.595185i | \(0.797079\pi\) | |||||||
\(810\) | 9.00000 | + | 27.0000i | 0.316228 | + | 0.948683i | ||||
\(811\) | 16.7321i | 0.587542i | 0.955876 | + | 0.293771i | \(0.0949103\pi\) | ||||
−0.955876 | + | 0.293771i | \(0.905090\pi\) | |||||||
\(812\) | −19.8038 | + | 19.8038i | −0.694979 | + | 0.694979i | ||||
\(813\) | −6.88269 | + | 3.97372i | −0.241386 | + | 0.139364i | ||||
\(814\) | 1.85641 | 0.0650670 | ||||||||
\(815\) | 13.5622 | − | 15.2942i | 0.475062 | − | 0.535733i | ||||
\(816\) | −7.60770 | − | 28.3923i | −0.266323 | − | 0.993929i | ||||
\(817\) | −11.1962 | − | 41.7846i | −0.391704 | − | 1.46186i | ||||
\(818\) | −8.19615 | + | 2.19615i | −0.286572 | + | 0.0767867i | ||||
\(819\) | −20.4115 | − | 11.7846i | −0.713237 | − | 0.411788i | ||||
\(820\) | −28.8564 | + | 1.73205i | −1.00771 | + | 0.0604858i | ||||
\(821\) | 14.2846 | − | 24.7417i | 0.498536 | − | 0.863490i | −0.501462 | − | 0.865180i | \(-0.667204\pi\) |
0.999999 | + | 0.00168929i | \(0.000537719\pi\) | |||||||
\(822\) | 28.3923 | − | 16.3923i | 0.990295 | − | 0.571747i | ||||
\(823\) | 2.96410 | − | 11.0622i | 0.103322 | − | 0.385603i | −0.894827 | − | 0.446412i | \(-0.852701\pi\) |
0.998149 | + | 0.0608092i | \(0.0193681\pi\) | |||||||
\(824\) | −39.4641 | + | 22.7846i | −1.37480 | + | 0.793739i | ||||
\(825\) | 2.07180 | + | 17.1962i | 0.0721307 | + | 0.598693i | ||||
\(826\) | −5.58846 | − | 9.67949i | −0.194447 | − | 0.336793i | ||||
\(827\) | −9.29423 | + | 9.29423i | −0.323192 | + | 0.323192i | −0.849990 | − | 0.526798i | \(-0.823392\pi\) |
0.526798 | + | 0.849990i | \(0.323392\pi\) | |||||||
\(828\) | 5.19615 | − | 1.39230i | 0.180579 | − | 0.0483859i | ||||
\(829\) | −25.0526 | −0.870111 | −0.435056 | − | 0.900404i | \(-0.643271\pi\) | ||||
−0.435056 | + | 0.900404i | \(0.643271\pi\) | |||||||
\(830\) | 37.0263 | − | 2.22243i | 1.28520 | − | 0.0771417i | ||||
\(831\) | −11.1962 | + | 11.1962i | −0.388390 | + | 0.388390i | ||||
\(832\) | 3.71281 | − | 13.8564i | 0.128719 | − | 0.480384i | ||||
\(833\) | −49.9808 | − | 13.3923i | −1.73173 | − | 0.464016i | ||||
\(834\) | −12.0000 | − | 12.0000i | −0.415526 | − | 0.415526i | ||||
\(835\) | 8.30385 | − | 40.5788i | 0.287366 | − | 1.40429i | ||||
\(836\) | −16.3923 | + | 9.46410i | −0.566940 | + | 0.327323i | ||||
\(837\) | −36.8827 | + | 21.2942i | −1.27485 | + | 0.736036i | ||||
\(838\) | −16.9282 | + | 4.53590i | −0.584775 | + | 0.156690i | ||||
\(839\) | 14.0263 | − | 24.2942i | 0.484241 | − | 0.838730i | −0.515595 | − | 0.856832i | \(-0.672429\pi\) |
0.999836 | + | 0.0181024i | \(0.00576248\pi\) | |||||||
\(840\) | 2.87564 | + | 47.9090i | 0.0992192 | + | 1.65302i | ||||
\(841\) | −9.39230 | − | 16.2679i | −0.323873 | − | 0.560964i | ||||
\(842\) | −5.32051 | − | 5.32051i | −0.183357 | − | 0.183357i | ||||
\(843\) | 3.58846 | 0.123593 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −19.5692 | − | 9.78461i | −0.673202 | − | 0.336601i | ||||
\(846\) | 3.29423 | − | 5.70577i | 0.113258 | − | 0.196168i | ||||
\(847\) | −21.6865 | + | 21.6865i | −0.745158 | + | 0.745158i | ||||
\(848\) | 7.60770 | − | 28.3923i | 0.261249 | − | 0.974996i | ||||
\(849\) | 7.79423 | − | 2.08846i | 0.267497 | − | 0.0716757i | ||||
\(850\) | −18.0000 | − | 24.0000i | −0.617395 | − | 0.823193i | ||||
\(851\) | −0.294229 | − | 0.509619i | −0.0100860 | − | 0.0174695i | ||||
\(852\) | 41.5692i | 1.42414i | ||||||||
\(853\) | −12.0000 | − | 44.7846i | −0.410872 | − | 1.53340i | −0.792962 | − | 0.609271i | \(-0.791462\pi\) |
0.382090 | − | 0.924125i | \(-0.375204\pi\) | |||||||
\(854\) | 45.4186 | − | 78.6673i | 1.55419 | − | 2.69194i | ||||
\(855\) | −14.1962 | + | 28.3923i | −0.485498 | + | 0.970996i | ||||
\(856\) | 24.3923 | 0.833712 | ||||||||
\(857\) | −27.9282 | + | 7.48334i | −0.954009 | + | 0.255626i | −0.702063 | − | 0.712115i | \(-0.747737\pi\) |
−0.251947 | + | 0.967741i | \(0.581071\pi\) | |||||||
\(858\) | −4.39230 | + | 7.60770i | −0.149951 | + | 0.259722i | ||||
\(859\) | −8.66025 | − | 15.0000i | −0.295484 | − | 0.511793i | 0.679613 | − | 0.733571i | \(-0.262148\pi\) |
−0.975097 | + | 0.221777i | \(0.928814\pi\) | |||||||
\(860\) | −8.19615 | + | 40.0526i | −0.279486 | + | 1.36578i | ||||
\(861\) | 47.3827 | + | 12.6962i | 1.61480 | + | 0.432684i | ||||
\(862\) | 8.07180 | − | 30.1244i | 0.274926 | − | 1.02604i | ||||
\(863\) | −12.4186 | + | 12.4186i | −0.422734 | + | 0.422734i | −0.886144 | − | 0.463410i | \(-0.846626\pi\) |
0.463410 | + | 0.886144i | \(0.346626\pi\) | |||||||
\(864\) | 28.3923 | − | 7.60770i | 0.965926 | − | 0.258819i | ||||
\(865\) | 6.00000 | − | 2.00000i | 0.204006 | − | 0.0680020i | ||||
\(866\) | 15.3923 | + | 26.6603i | 0.523052 | + | 0.905952i | ||||
\(867\) | −0.866025 | − | 1.50000i | −0.0294118 | − | 0.0509427i | ||||
\(868\) | −69.3731 | + | 18.5885i | −2.35468 | + | 0.630933i | ||||
\(869\) | 3.80385 | − | 2.19615i | 0.129037 | − | 0.0744994i | ||||
\(870\) | 17.1506 | + | 3.50962i | 0.581461 | + | 0.118987i | ||||
\(871\) | −6.80385 | + | 11.7846i | −0.230540 | + | 0.399306i | ||||
\(872\) | −17.3205 | − | 17.3205i | −0.586546 | − | 0.586546i | ||||
\(873\) | 20.4904 | + | 5.49038i | 0.693494 | + | 0.185821i | ||||
\(874\) | 5.19615 | + | 3.00000i | 0.175762 | + | 0.101477i | ||||
\(875\) | 20.9378 | + | 44.2846i | 0.707828 | + | 1.49709i | ||||
\(876\) | 35.3205 | + | 35.3205i | 1.19337 | + | 1.19337i | ||||
\(877\) | 6.46410 | − | 24.1244i | 0.218277 | − | 0.814622i | −0.766710 | − | 0.641994i | \(-0.778108\pi\) |
0.984987 | − | 0.172628i | \(-0.0552258\pi\) | |||||||
\(878\) | −18.7846 | − | 18.7846i | −0.633950 | − | 0.633950i | ||||
\(879\) | −0.509619 | − | 1.90192i | −0.0171890 | − | 0.0641503i | ||||
\(880\) | 17.8564 | − | 1.07180i | 0.601939 | − | 0.0361303i | ||||
\(881\) | − | 2.07180i | − | 0.0698006i | −0.999391 | − | 0.0349003i | \(-0.988889\pi\) | ||
0.999391 | − | 0.0349003i | \(-0.0111114\pi\) | |||||||
\(882\) | 13.3923 | − | 49.9808i | 0.450942 | − | 1.68294i | ||||
\(883\) | 27.4186 | − | 27.4186i | 0.922709 | − | 0.922709i | −0.0745113 | − | 0.997220i | \(-0.523740\pi\) |
0.997220 | + | 0.0745113i | \(0.0237397\pi\) | |||||||
\(884\) | − | 15.2154i | − | 0.511749i | ||||||
\(885\) | −3.12436 | + | 6.24871i | −0.105024 | + | 0.210048i | ||||
\(886\) | −54.5885 | −1.83394 | ||||||||
\(887\) | −0.418584 | + | 1.56218i | −0.0140547 | + | 0.0524528i | −0.972597 | − | 0.232497i | \(-0.925310\pi\) |
0.958542 | + | 0.284950i | \(0.0919770\pi\) | |||||||
\(888\) | −1.60770 | − | 2.78461i | −0.0539507 | − | 0.0934454i | ||||
\(889\) | 31.6699 | + | 18.2846i | 1.06217 | + | 0.613246i | ||||
\(890\) | −8.24167 | − | 1.68653i | −0.276261 | − | 0.0565327i | ||||
\(891\) | −18.0000 | −0.603023 | ||||||||
\(892\) | −33.0526 | − | 8.85641i | −1.10668 | − | 0.296534i | ||||
\(893\) | 7.09808 | − | 1.90192i | 0.237528 | − | 0.0636455i | ||||
\(894\) | −12.1244 | + | 12.1244i | −0.405499 | + | 0.405499i | ||||
\(895\) | −0.856406 | − | 14.2679i | −0.0286265 | − | 0.476925i | ||||
\(896\) | 49.5692 | 1.65599 | ||||||||
\(897\) | 2.78461 | 0.0929754 | ||||||||
\(898\) | 44.7846 | + | 12.0000i | 1.49448 | + | 0.400445i | ||||
\(899\) | 26.1962i | 0.873691i | ||||||||
\(900\) | 24.0000 | − | 18.0000i | 0.800000 | − | 0.600000i | ||||
\(901\) | − | 31.1769i | − | 1.03865i | ||||||
\(902\) | 4.73205 | − | 17.6603i | 0.157560 | − | 0.588022i | ||||
\(903\) | 34.6865 | − | 60.0788i | 1.15430 | − | 1.99930i | ||||
\(904\) | −2.53590 | − | 4.39230i | −0.0843427 | − | 0.146086i | ||||
\(905\) | −0.401924 | − | 6.69615i | −0.0133604 | − | 0.222588i | ||||
\(906\) | 10.1436 | − | 37.8564i | 0.336998 | − | 1.25769i | ||||
\(907\) | −3.52628 | + | 0.944864i | −0.117088 | + | 0.0313737i | −0.316887 | − | 0.948463i | \(-0.602638\pi\) |
0.199799 | + | 0.979837i | \(0.435971\pi\) | |||||||
\(908\) | 5.41154 | − | 20.1962i | 0.179588 | − | 0.670233i | ||||
\(909\) | 3.00000 | + | 5.19615i | 0.0995037 | + | 0.172345i | ||||
\(910\) | −4.98076 | + | 24.3397i | −0.165111 | + | 0.806855i | ||||
\(911\) | 23.4904 | + | 13.5622i | 0.778271 | + | 0.449335i | 0.835817 | − | 0.549008i | \(-0.184994\pi\) |
−0.0575461 | + | 0.998343i | \(0.518328\pi\) | |||||||
\(912\) | 28.3923 | + | 16.3923i | 0.940163 | + | 0.542803i | ||||
\(913\) | −6.07180 | + | 22.6603i | −0.200947 | + | 0.749945i | ||||
\(914\) | 14.3923i | 0.476055i | ||||||||
\(915\) | −56.6769 | + | 3.40192i | −1.87368 | + | 0.112464i | ||||
\(916\) | 23.0718i | 0.762314i | ||||||||
\(917\) | −24.1769 | + | 24.1769i | −0.798392 | + | 0.798392i | ||||
\(918\) | 27.0000 | − | 15.5885i | 0.891133 | − | 0.514496i | ||||
\(919\) | 20.1962i | 0.666210i | 0.942890 | + | 0.333105i | \(0.108096\pi\) | ||||
−0.942890 | + | 0.333105i | \(0.891904\pi\) | |||||||
\(920\) | −3.12436 | − | 4.73205i | −0.103007 | − | 0.156011i | ||||
\(921\) | 33.9904 | + | 9.10770i | 1.12002 | + | 0.300109i | ||||
\(922\) | −13.5885 | + | 13.5885i | −0.447512 | + | 0.447512i | ||||
\(923\) | −5.56922 | + | 20.7846i | −0.183313 | + | 0.684134i | ||||
\(924\) | −29.3205 | − | 7.85641i | −0.964574 | − | 0.258457i | ||||
\(925\) | −2.58142 | − | 2.02628i | −0.0848764 | − | 0.0666237i | ||||
\(926\) | 4.80385 | − | 8.32051i | 0.157864 | − | 0.273429i | ||||
\(927\) | −34.1769 | − | 34.1769i | −1.12252 | − | 1.12252i | ||||
\(928\) | 4.67949 | − | 17.4641i | 0.153612 | − | 0.573287i | ||||
\(929\) | 2.19615 | − | 3.80385i | 0.0720534 | − | 0.124800i | −0.827748 | − | 0.561100i | \(-0.810378\pi\) |
0.899801 | + | 0.436300i | \(0.143711\pi\) | |||||||
\(930\) | 33.5885 | + | 29.7846i | 1.10141 | + | 0.976676i | ||||
\(931\) | 49.9808 | − | 28.8564i | 1.63805 | − | 0.945731i | ||||
\(932\) | 49.5167 | − | 13.2679i | 1.62197 | − | 0.434606i | ||||
\(933\) | −12.2942 | + | 21.2942i | −0.402495 | + | 0.697142i | ||||
\(934\) | 14.9090 | − | 8.60770i | 0.487836 | − | 0.281652i | ||||
\(935\) | 18.0000 | − | 6.00000i | 0.588663 | − | 0.196221i | ||||
\(936\) | 15.2154 | 0.497331 | ||||||||
\(937\) | −4.58846 | + | 4.58846i | −0.149898 | + | 0.149898i | −0.778073 | − | 0.628174i | \(-0.783802\pi\) |
0.628174 | + | 0.778073i | \(0.283802\pi\) | |||||||
\(938\) | −45.4186 | − | 12.1699i | −1.48297 | − | 0.397360i | ||||
\(939\) | −18.3397 | + | 18.3397i | −0.598495 | + | 0.598495i | ||||
\(940\) | −6.80385 | − | 1.39230i | −0.221917 | − | 0.0454120i | ||||
\(941\) | 4.40192 | + | 7.62436i | 0.143499 | + | 0.248547i | 0.928812 | − | 0.370552i | \(-0.120831\pi\) |
−0.785313 | + | 0.619099i | \(0.787498\pi\) | |||||||
\(942\) | − | 31.1769i | − | 1.01580i | ||||||
\(943\) | −5.59808 | + | 1.50000i | −0.182298 | + | 0.0488467i | ||||
\(944\) | 6.24871 | + | 3.60770i | 0.203378 | + | 0.117420i | ||||
\(945\) | −48.2942 | + | 16.0981i | −1.57101 | + | 0.523670i | ||||
\(946\) | −22.3923 | − | 12.9282i | −0.728037 | − | 0.420332i | ||||
\(947\) | −6.18653 | − | 23.0885i | −0.201035 | − | 0.750274i | −0.990622 | − | 0.136634i | \(-0.956371\pi\) |
0.789586 | − | 0.613640i | \(-0.210295\pi\) | |||||||
\(948\) | −6.58846 | − | 3.80385i | −0.213983 | − | 0.123543i | ||||
\(949\) | 12.9282 | + | 22.3923i | 0.419667 | + | 0.726885i | ||||
\(950\) | 33.1244 | + | 4.73205i | 1.07470 | + | 0.153528i | ||||
\(951\) | −17.3205 | − | 17.3205i | −0.561656 | − | 0.561656i | ||||
\(952\) | 50.7846 | − | 13.6077i | 1.64594 | − | 0.441028i | ||||
\(953\) | −24.9282 | + | 24.9282i | −0.807504 | + | 0.807504i | −0.984255 | − | 0.176752i | \(-0.943441\pi\) |
0.176752 | + | 0.984255i | \(0.443441\pi\) | |||||||
\(954\) | 31.1769 | 1.00939 | ||||||||
\(955\) | −37.1769 | − | 18.5885i | −1.20302 | − | 0.601508i | ||||
\(956\) | − | 37.8564i | − | 1.22436i | ||||||
\(957\) | −5.53590 | + | 9.58846i | −0.178950 | + | 0.309951i | ||||
\(958\) | −21.1244 | + | 21.1244i | −0.682497 | + | 0.682497i | ||||
\(959\) | 29.3205 | + | 50.7846i | 0.946809 | + | 1.63992i | ||||
\(960\) | −17.0718 | − | 25.8564i | −0.550990 | − | 0.834512i | ||||
\(961\) | −18.0885 | + | 31.3301i | −0.583499 | + | 1.01065i | ||||
\(962\) | −0.430781 | − | 1.60770i | −0.0138889 | − | 0.0518342i | ||||
\(963\) | 6.69615 | + | 24.9904i | 0.215780 | + | 0.805304i | ||||
\(964\) | 32.5692 | − | 18.8038i | 1.04898 | − | 0.605631i | ||||
\(965\) | −6.33975 | + | 30.9808i | −0.204084 | + | 0.997306i | ||||
\(966\) | 2.49038 | + | 9.29423i | 0.0801267 | + | 0.299037i | ||||
\(967\) | 15.9641 | + | 4.27757i | 0.513371 | + | 0.137557i | 0.506199 | − | 0.862417i | \(-0.331050\pi\) |
0.00717234 | + | 0.999974i | \(0.497717\pi\) | |||||||
\(968\) | 5.12436 | − | 19.1244i | 0.164703 | − | 0.614680i | ||||
\(969\) | 33.5885 | + | 9.00000i | 1.07902 | + | 0.289122i | ||||
\(970\) | −1.33975 | − | 22.3205i | −0.0430167 | − | 0.716668i | ||||
\(971\) | 29.8038 | 0.956451 | 0.478225 | − | 0.878237i | \(-0.341280\pi\) | ||||
0.478225 | + | 0.878237i | \(0.341280\pi\) | |||||||
\(972\) | 15.5885 | + | 27.0000i | 0.500000 | + | 0.866025i | ||||
\(973\) | 21.4641 | − | 21.4641i | 0.688108 | − | 0.688108i | ||||
\(974\) | −5.87564 | + | 3.39230i | −0.188268 | + | 0.108696i | ||||
\(975\) | 14.4115 | − | 5.78461i | 0.461539 | − | 0.185256i | ||||
\(976\) | 58.6410i | 1.87705i | ||||||||
\(977\) | −10.7321 | + | 40.0526i | −0.343349 | + | 1.28139i | 0.551181 | + | 0.834386i | \(0.314177\pi\) |
−0.894529 | + | 0.447009i | \(0.852489\pi\) | |||||||
\(978\) | 11.1962 | − | 19.3923i | 0.358013 | − | 0.620098i | ||||
\(979\) | 2.66025 | − | 4.60770i | 0.0850221 | − | 0.147263i | ||||
\(980\) | −54.4449 | + | 3.26795i | −1.73918 | + | 0.104391i | ||||
\(981\) | 12.9904 | − | 22.5000i | 0.414751 | − | 0.718370i | ||||
\(982\) | −9.07180 | − | 33.8564i | −0.289493 | − | 1.08040i | ||||
\(983\) | 3.57180 | + | 13.3301i | 0.113923 | + | 0.425165i | 0.999204 | − | 0.0398907i | \(-0.0127010\pi\) |
−0.885281 | + | 0.465056i | \(0.846034\pi\) | |||||||
\(984\) | −30.5885 | + | 8.19615i | −0.975124 | + | 0.261284i | ||||
\(985\) | 25.1769 | − | 28.3923i | 0.802203 | − | 0.904654i | ||||
\(986\) | − | 19.1769i | − | 0.610717i | ||||||
\(987\) | 10.2058 | + | 5.89230i | 0.324853 | + | 0.187554i | ||||
\(988\) | 12.0000 | + | 12.0000i | 0.381771 | + | 0.381771i | ||||
\(989\) | 8.19615i | 0.260622i | ||||||||
\(990\) | 6.00000 | + | 18.0000i | 0.190693 | + | 0.572078i | ||||
\(991\) | 10.1962 | 0.323891 | 0.161946 | − | 0.986800i | \(-0.448223\pi\) | ||||
0.161946 | + | 0.986800i | \(0.448223\pi\) | |||||||
\(992\) | 32.7846 | − | 32.7846i | 1.04091 | − | 1.04091i | ||||
\(993\) | −1.01924 | −0.0323445 | ||||||||
\(994\) | −74.3538 | −2.35836 | ||||||||
\(995\) | −0.562178 | − | 9.36603i | −0.0178222 | − | 0.296923i | ||||
\(996\) | 39.2487 | − | 10.5167i | 1.24364 | − | 0.333233i | ||||
\(997\) | −6.63397 | + | 1.77757i | −0.210100 | + | 0.0562961i | −0.362334 | − | 0.932048i | \(-0.618020\pi\) |
0.152234 | + | 0.988345i | \(0.451353\pi\) | |||||||
\(998\) | 9.80385 | + | 36.5885i | 0.310335 | + | 1.15819i | ||||
\(999\) | 2.41154 | − | 2.41154i | 0.0762978 | − | 0.0762978i |
(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 | 360.2.br.c.173.1 | yes | 4 | |
5.2 | odd | 4 | 360.2.br.d.317.1 | yes | 4 | ||
8.5 | even | 2 | 360.2.br.b.173.1 | yes | 4 | ||
9.5 | odd | 6 | 360.2.br.a.293.1 | ✓ | 4 | ||
40.37 | odd | 4 | 360.2.br.a.317.1 | yes | 4 | ||
45.32 | even | 12 | 360.2.br.b.77.1 | yes | 4 | ||
72.5 | odd | 6 | 360.2.br.d.293.1 | yes | 4 | ||
360.77 | even | 12 | inner | 360.2.br.c.77.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.br.a.293.1 | ✓ | 4 | 9.5 | odd | 6 | ||
360.2.br.a.317.1 | yes | 4 | 40.37 | odd | 4 | ||
360.2.br.b.77.1 | yes | 4 | 45.32 | even | 12 | ||
360.2.br.b.173.1 | yes | 4 | 8.5 | even | 2 | ||
360.2.br.c.77.1 | yes | 4 | 360.77 | even | 12 | inner | |
360.2.br.c.173.1 | yes | 4 | 1.1 | even | 1 | trivial | |
360.2.br.d.293.1 | yes | 4 | 72.5 | odd | 6 | ||
360.2.br.d.317.1 | yes | 4 | 5.2 | odd | 4 |