Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(101,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 4 x^{11} + 11 x^{10} - 32 x^{9} + 64 x^{8} - 120 x^{7} + 237 x^{6} - 360 x^{5} + 576 x^{4} - 864 x^{3} + 891 x^{2} - 972 x + 729 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.4 | ||
Root | \(-0.384890 - 1.68874i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.101 |
Dual form | 210.2.r.a.131.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −1.68874 | + | 0.384890i | −0.974997 | + | 0.222217i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −1.27005 | + | 1.17770i | −0.518496 | + | 0.480793i | ||||
\(7\) | 2.63608 | + | 0.226058i | 0.996343 | + | 0.0854419i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.70372 | − | 1.29996i | 0.901240 | − | 0.433321i | ||||
\(10\) | 0.866025 | + | 0.500000i | 0.273861 | + | 0.158114i | ||||
\(11\) | 4.29143 | + | 2.47766i | 1.29392 | + | 0.747043i | 0.979346 | − | 0.202191i | \(-0.0648063\pi\) |
0.314570 | + | 0.949234i | \(0.398140\pi\) | |||||||
\(12\) | −0.511048 | + | 1.65494i | −0.147527 | + | 0.477740i | ||||
\(13\) | − | 6.37523i | − | 1.76817i | −0.467325 | − | 0.884086i | \(-0.654782\pi\) | ||
0.467325 | − | 0.884086i | \(-0.345218\pi\) | |||||||
\(14\) | 2.39594 | − | 1.12227i | 0.640341 | − | 0.299938i | ||||
\(15\) | −1.17770 | − | 1.27005i | −0.304080 | − | 0.327926i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.81377 | + | 3.14155i | −0.439905 | + | 0.761937i | −0.997682 | − | 0.0680536i | \(-0.978321\pi\) |
0.557777 | + | 0.829991i | \(0.311654\pi\) | |||||||
\(18\) | 1.69151 | − | 2.47766i | 0.398692 | − | 0.583990i | ||||
\(19\) | −3.64345 | + | 2.10355i | −0.835865 | + | 0.482587i | −0.855857 | − | 0.517213i | \(-0.826969\pi\) |
0.0199914 | + | 0.999800i | \(0.493636\pi\) | |||||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −4.53867 | + | 0.632846i | −0.990419 | + | 0.138098i | ||||
\(22\) | 4.95532 | 1.05648 | ||||||||
\(23\) | −1.65996 | + | 0.958379i | −0.346126 | + | 0.199836i | −0.662978 | − | 0.748639i | \(-0.730708\pi\) |
0.316852 | + | 0.948475i | \(0.397374\pi\) | |||||||
\(24\) | 0.384890 | + | 1.68874i | 0.0785654 | + | 0.344714i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −3.18762 | − | 5.52111i | −0.625143 | − | 1.08278i | ||||
\(27\) | −4.06555 | + | 3.23594i | −0.782415 | + | 0.622757i | ||||
\(28\) | 1.51381 | − | 2.16988i | 0.286083 | − | 0.410069i | ||||
\(29\) | − | 0.800269i | − | 0.148606i | −0.997236 | − | 0.0743031i | \(-0.976327\pi\) | ||
0.997236 | − | 0.0743031i | \(-0.0236732\pi\) | |||||||
\(30\) | −1.65494 | − | 0.511048i | −0.302150 | − | 0.0933041i | ||||
\(31\) | 4.36166 | + | 2.51820i | 0.783377 | + | 0.452283i | 0.837626 | − | 0.546245i | \(-0.183943\pi\) |
−0.0542489 | + | 0.998527i | \(0.517276\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −8.20077 | − | 2.53241i | −1.42757 | − | 0.440835i | ||||
\(34\) | 3.62755i | 0.622119i | ||||||||
\(35\) | 1.12227 | + | 2.39594i | 0.189698 | + | 0.404987i | ||||
\(36\) | 0.226058 | − | 2.99147i | 0.0376763 | − | 0.498578i | ||||
\(37\) | −2.91394 | − | 5.04710i | −0.479050 | − | 0.829738i | 0.520662 | − | 0.853763i | \(-0.325685\pi\) |
−0.999711 | + | 0.0240249i | \(0.992352\pi\) | |||||||
\(38\) | −2.10355 | + | 3.64345i | −0.341241 | + | 0.591046i | ||||
\(39\) | 2.45377 | + | 10.7661i | 0.392917 | + | 1.72396i | ||||
\(40\) | 0.866025 | − | 0.500000i | 0.136931 | − | 0.0790569i | ||||
\(41\) | −7.45163 | −1.16375 | −0.581874 | − | 0.813279i | \(-0.697680\pi\) | ||||
−0.581874 | + | 0.813279i | \(0.697680\pi\) | |||||||
\(42\) | −3.61418 | + | 2.81739i | −0.557680 | + | 0.434733i | ||||
\(43\) | −4.64827 | −0.708854 | −0.354427 | − | 0.935084i | \(-0.615324\pi\) | ||||
−0.354427 | + | 0.935084i | \(0.615324\pi\) | |||||||
\(44\) | 4.29143 | − | 2.47766i | 0.646958 | − | 0.373521i | ||||
\(45\) | 2.47766 | + | 1.69151i | 0.369348 | + | 0.252155i | ||||
\(46\) | −0.958379 | + | 1.65996i | −0.141305 | + | 0.244748i | ||||
\(47\) | −0.303890 | − | 0.526352i | −0.0443269 | − | 0.0767764i | 0.843011 | − | 0.537897i | \(-0.180781\pi\) |
−0.887338 | + | 0.461120i | \(0.847448\pi\) | |||||||
\(48\) | 1.17770 | + | 1.27005i | 0.169986 | + | 0.183316i | ||||
\(49\) | 6.89780 | + | 1.19181i | 0.985399 | + | 0.170259i | ||||
\(50\) | 1.00000i | 0.141421i | ||||||||
\(51\) | 1.85385 | − | 6.00338i | 0.259591 | − | 0.840641i | ||||
\(52\) | −5.52111 | − | 3.18762i | −0.765641 | − | 0.442043i | ||||
\(53\) | −12.3898 | − | 7.15326i | −1.70187 | − | 0.982576i | −0.943866 | − | 0.330329i | \(-0.892840\pi\) |
−0.758006 | − | 0.652247i | \(-0.773826\pi\) | |||||||
\(54\) | −1.90290 | + | 4.83518i | −0.258951 | + | 0.657985i | ||||
\(55\) | 4.95532i | 0.668175i | ||||||||
\(56\) | 0.226058 | − | 2.63608i | 0.0302083 | − | 0.352260i | ||||
\(57\) | 5.34323 | − | 4.95469i | 0.707727 | − | 0.656264i | ||||
\(58\) | −0.400134 | − | 0.693053i | −0.0525402 | − | 0.0910023i | ||||
\(59\) | 0.875658 | − | 1.51668i | 0.114001 | − | 0.197456i | −0.803379 | − | 0.595468i | \(-0.796967\pi\) |
0.917380 | + | 0.398013i | \(0.130300\pi\) | |||||||
\(60\) | −1.68874 | + | 0.384890i | −0.218016 | + | 0.0496891i | ||||
\(61\) | 2.96447 | − | 1.71154i | 0.379561 | − | 0.219140i | −0.298066 | − | 0.954545i | \(-0.596342\pi\) |
0.677627 | + | 0.735405i | \(0.263008\pi\) | |||||||
\(62\) | 5.03641 | 0.639624 | ||||||||
\(63\) | 7.42108 | − | 2.81561i | 0.934968 | − | 0.354733i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 5.52111 | − | 3.18762i | 0.684810 | − | 0.395375i | ||||
\(66\) | −8.36827 | + | 1.90726i | −1.03006 | + | 0.234767i | ||||
\(67\) | −3.99147 | + | 6.91343i | −0.487636 | + | 0.844610i | −0.999899 | − | 0.0142186i | \(-0.995474\pi\) |
0.512263 | + | 0.858829i | \(0.328807\pi\) | |||||||
\(68\) | 1.81377 | + | 3.14155i | 0.219952 | + | 0.380969i | ||||
\(69\) | 2.43438 | − | 2.25736i | 0.293065 | − | 0.271754i | ||||
\(70\) | 2.16988 | + | 1.51381i | 0.259350 | + | 0.180935i | ||||
\(71\) | 2.48759i | 0.295222i | 0.989045 | + | 0.147611i | \(0.0471584\pi\) | ||||
−0.989045 | + | 0.147611i | \(0.952842\pi\) | |||||||
\(72\) | −1.29996 | − | 2.70372i | −0.153202 | − | 0.318636i | ||||
\(73\) | 13.0712 | + | 7.54666i | 1.52987 | + | 0.883270i | 0.999367 | + | 0.0355852i | \(0.0113295\pi\) |
0.530501 | + | 0.847684i | \(0.322004\pi\) | |||||||
\(74\) | −5.04710 | − | 2.91394i | −0.586713 | − | 0.338739i | ||||
\(75\) | 0.511048 | − | 1.65494i | 0.0590107 | − | 0.191096i | ||||
\(76\) | 4.20710i | 0.482587i | ||||||||
\(77\) | 10.7525 | + | 7.50142i | 1.22536 | + | 0.854866i | ||||
\(78\) | 7.50809 | + | 8.09687i | 0.850124 | + | 0.916790i | ||||
\(79\) | −1.33404 | − | 2.31062i | −0.150091 | − | 0.259965i | 0.781170 | − | 0.624319i | \(-0.214623\pi\) |
−0.931261 | + | 0.364354i | \(0.881290\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | 5.62019 | − | 7.02947i | 0.624466 | − | 0.781052i | ||||
\(82\) | −6.45330 | + | 3.72581i | −0.712648 | + | 0.411447i | ||||
\(83\) | −7.27215 | −0.798222 | −0.399111 | − | 0.916903i | \(-0.630681\pi\) | ||||
−0.399111 | + | 0.916903i | \(0.630681\pi\) | |||||||
\(84\) | −1.72127 | + | 4.24702i | −0.187806 | + | 0.463388i | ||||
\(85\) | −3.62755 | −0.393463 | ||||||||
\(86\) | −4.02552 | + | 2.32413i | −0.434083 | + | 0.250618i | ||||
\(87\) | 0.308016 | + | 1.35145i | 0.0330227 | + | 0.144891i | ||||
\(88\) | 2.47766 | − | 4.29143i | 0.264120 | − | 0.457468i | ||||
\(89\) | −0.942474 | − | 1.63241i | −0.0999021 | − | 0.173035i | 0.811742 | − | 0.584016i | \(-0.198520\pi\) |
−0.911644 | + | 0.410981i | \(0.865186\pi\) | |||||||
\(90\) | 2.99147 | + | 0.226058i | 0.315329 | + | 0.0238286i | ||||
\(91\) | 1.44117 | − | 16.8056i | 0.151076 | − | 1.76171i | ||||
\(92\) | 1.91676i | 0.199836i | ||||||||
\(93\) | −8.33496 | − | 2.57384i | −0.864295 | − | 0.266895i | ||||
\(94\) | −0.526352 | − | 0.303890i | −0.0542891 | − | 0.0313438i | ||||
\(95\) | −3.64345 | − | 2.10355i | −0.373810 | − | 0.215819i | ||||
\(96\) | 1.65494 | + | 0.511048i | 0.168907 | + | 0.0521586i | ||||
\(97\) | − | 17.6562i | − | 1.79271i | −0.443334 | − | 0.896356i | \(-0.646205\pi\) | ||
0.443334 | − | 0.896356i | \(-0.353795\pi\) | |||||||
\(98\) | 6.56957 | − | 2.41676i | 0.663627 | − | 0.244129i | ||||
\(99\) | 14.8237 | + | 1.12019i | 1.48984 | + | 0.112583i | ||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −0.574210 | + | 0.994562i | −0.0571361 | + | 0.0989626i | −0.893179 | − | 0.449702i | \(-0.851530\pi\) |
0.836043 | + | 0.548664i | \(0.184864\pi\) | |||||||
\(102\) | −1.39621 | − | 6.12600i | −0.138245 | − | 0.606565i | ||||
\(103\) | −6.30781 | + | 3.64182i | −0.621527 | + | 0.358839i | −0.777463 | − | 0.628928i | \(-0.783494\pi\) |
0.155936 | + | 0.987767i | \(0.450161\pi\) | |||||||
\(104\) | −6.37523 | −0.625143 | ||||||||
\(105\) | −2.81739 | − | 3.61418i | −0.274950 | − | 0.352708i | ||||
\(106\) | −14.3065 | −1.38957 | ||||||||
\(107\) | 2.32646 | − | 1.34318i | 0.224908 | − | 0.129850i | −0.383313 | − | 0.923618i | \(-0.625217\pi\) |
0.608221 | + | 0.793768i | \(0.291884\pi\) | |||||||
\(108\) | 0.769634 | + | 5.13884i | 0.0740581 | + | 0.494485i | ||||
\(109\) | −4.51172 | + | 7.81452i | −0.432144 | + | 0.748495i | −0.997058 | − | 0.0766547i | \(-0.975576\pi\) |
0.564914 | + | 0.825150i | \(0.308909\pi\) | |||||||
\(110\) | 2.47766 | + | 4.29143i | 0.236236 | + | 0.409172i | ||||
\(111\) | 6.86349 | + | 7.40171i | 0.651454 | + | 0.702540i | ||||
\(112\) | −1.12227 | − | 2.39594i | −0.106044 | − | 0.226395i | ||||
\(113\) | 12.4267i | 1.16901i | 0.811391 | + | 0.584504i | \(0.198711\pi\) | ||||
−0.811391 | + | 0.584504i | \(0.801289\pi\) | |||||||
\(114\) | 2.15003 | − | 6.96250i | 0.201368 | − | 0.652098i | ||||
\(115\) | −1.65996 | − | 0.958379i | −0.154792 | − | 0.0893693i | ||||
\(116\) | −0.693053 | − | 0.400134i | −0.0643483 | − | 0.0371515i | ||||
\(117\) | −8.28757 | − | 17.2368i | −0.766186 | − | 1.59355i | ||||
\(118\) | − | 1.75132i | − | 0.161222i | ||||||
\(119\) | −5.49142 | + | 7.87134i | −0.503397 | + | 0.721565i | ||||
\(120\) | −1.27005 | + | 1.17770i | −0.115939 | + | 0.107509i | ||||
\(121\) | 6.77761 | + | 11.7392i | 0.616146 | + | 1.06720i | ||||
\(122\) | 1.71154 | − | 2.96447i | 0.154955 | − | 0.268390i | ||||
\(123\) | 12.5839 | − | 2.86806i | 1.13465 | − | 0.258604i | ||||
\(124\) | 4.36166 | − | 2.51820i | 0.391688 | − | 0.226141i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 5.01904 | − | 6.14892i | 0.447131 | − | 0.547790i | ||||
\(127\) | 8.06679 | 0.715812 | 0.357906 | − | 0.933758i | \(-0.383491\pi\) | ||||
0.357906 | + | 0.933758i | \(0.383491\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 7.84974 | − | 1.78907i | 0.691131 | − | 0.157519i | ||||
\(130\) | 3.18762 | − | 5.52111i | 0.279572 | − | 0.484234i | ||||
\(131\) | −1.69151 | − | 2.92978i | −0.147788 | − | 0.255976i | 0.782622 | − | 0.622497i | \(-0.213882\pi\) |
−0.930410 | + | 0.366522i | \(0.880549\pi\) | |||||||
\(132\) | −6.29351 | + | 5.83587i | −0.547780 | + | 0.507947i | ||||
\(133\) | −10.0799 | + | 4.72148i | −0.874042 | + | 0.409404i | ||||
\(134\) | 7.98294i | 0.689621i | ||||||||
\(135\) | −4.83518 | − | 1.90290i | −0.416146 | − | 0.163775i | ||||
\(136\) | 3.14155 | + | 1.81377i | 0.269386 | + | 0.155530i | ||||
\(137\) | 12.8409 | + | 7.41370i | 1.09707 | + | 0.633395i | 0.935451 | − | 0.353458i | \(-0.114994\pi\) |
0.161622 | + | 0.986853i | \(0.448327\pi\) | |||||||
\(138\) | 0.979554 | − | 3.17212i | 0.0833852 | − | 0.270029i | ||||
\(139\) | − | 7.24669i | − | 0.614656i | −0.951604 | − | 0.307328i | \(-0.900565\pi\) | ||
0.951604 | − | 0.307328i | \(-0.0994349\pi\) | |||||||
\(140\) | 2.63608 | + | 0.226058i | 0.222789 | + | 0.0191054i | ||||
\(141\) | 0.715780 | + | 0.771911i | 0.0602796 | + | 0.0650066i | ||||
\(142\) | 1.24379 | + | 2.15432i | 0.104377 | + | 0.180786i | ||||
\(143\) | 15.7957 | − | 27.3589i | 1.32090 | − | 2.28787i | ||||
\(144\) | −2.47766 | − | 1.69151i | −0.206472 | − | 0.140959i | ||||
\(145\) | 0.693053 | − | 0.400134i | 0.0575549 | − | 0.0332293i | ||||
\(146\) | 15.0933 | 1.24913 | ||||||||
\(147\) | −12.1073 | + | 0.642228i | −0.998596 | + | 0.0529701i | ||||
\(148\) | −5.82789 | −0.479050 | ||||||||
\(149\) | 5.70973 | − | 3.29651i | 0.467759 | − | 0.270061i | −0.247542 | − | 0.968877i | \(-0.579623\pi\) |
0.715301 | + | 0.698816i | \(0.246289\pi\) | |||||||
\(150\) | −0.384890 | − | 1.68874i | −0.0314262 | − | 0.137885i | ||||
\(151\) | −5.88717 | + | 10.1969i | −0.479091 | + | 0.829811i | −0.999713 | − | 0.0239772i | \(-0.992367\pi\) |
0.520621 | + | 0.853788i | \(0.325700\pi\) | |||||||
\(152\) | 2.10355 | + | 3.64345i | 0.170620 | + | 0.295523i | ||||
\(153\) | −0.820036 | + | 10.8517i | −0.0662960 | + | 0.877308i | ||||
\(154\) | 13.0626 | + | 1.12019i | 1.05261 | + | 0.0902675i | ||||
\(155\) | 5.03641i | 0.404534i | ||||||||
\(156\) | 10.5506 | + | 3.25805i | 0.844727 | + | 0.260853i | ||||
\(157\) | 1.33783 | + | 0.772397i | 0.106770 | + | 0.0616440i | 0.552434 | − | 0.833556i | \(-0.313699\pi\) |
−0.445664 | + | 0.895200i | \(0.647032\pi\) | |||||||
\(158\) | −2.31062 | − | 1.33404i | −0.183823 | − | 0.106130i | ||||
\(159\) | 23.6765 | + | 7.31132i | 1.87767 | + | 0.579825i | ||||
\(160\) | − | 1.00000i | − | 0.0790569i | ||||||
\(161\) | −4.59243 | + | 2.15111i | −0.361934 | + | 0.169531i | ||||
\(162\) | 1.35249 | − | 8.89780i | 0.106262 | − | 0.699077i | ||||
\(163\) | 1.68880 | + | 2.92508i | 0.132277 | + | 0.229110i | 0.924554 | − | 0.381051i | \(-0.124438\pi\) |
−0.792277 | + | 0.610161i | \(0.791105\pi\) | |||||||
\(164\) | −3.72581 | + | 6.45330i | −0.290937 | + | 0.503918i | ||||
\(165\) | −1.90726 | − | 8.36827i | −0.148480 | − | 0.651469i | ||||
\(166\) | −6.29787 | + | 3.63608i | −0.488809 | + | 0.282214i | ||||
\(167\) | 12.7685 | 0.988053 | 0.494027 | − | 0.869447i | \(-0.335525\pi\) | ||||
0.494027 | + | 0.869447i | \(0.335525\pi\) | |||||||
\(168\) | 0.632846 | + | 4.53867i | 0.0488251 | + | 0.350166i | ||||
\(169\) | −27.6436 | −2.12643 | ||||||||
\(170\) | −3.14155 | + | 1.81377i | −0.240946 | + | 0.139110i | ||||
\(171\) | −7.11633 | + | 10.4238i | −0.544200 | + | 0.797125i | ||||
\(172\) | −2.32413 | + | 4.02552i | −0.177214 | + | 0.306943i | ||||
\(173\) | 0.123778 | + | 0.214390i | 0.00941068 | + | 0.0162998i | 0.870692 | − | 0.491828i | \(-0.163671\pi\) |
−0.861282 | + | 0.508128i | \(0.830338\pi\) | |||||||
\(174\) | 0.942474 | + | 1.01638i | 0.0714488 | + | 0.0770517i | ||||
\(175\) | −1.51381 | + | 2.16988i | −0.114433 | + | 0.164028i | ||||
\(176\) | − | 4.95532i | − | 0.373521i | ||||||
\(177\) | −0.895006 | + | 2.89833i | −0.0672728 | + | 0.217852i | ||||
\(178\) | −1.63241 | − | 0.942474i | −0.122355 | − | 0.0706414i | ||||
\(179\) | −16.9709 | − | 9.79815i | −1.26846 | − | 0.732348i | −0.293767 | − | 0.955877i | \(-0.594909\pi\) |
−0.974697 | + | 0.223528i | \(0.928242\pi\) | |||||||
\(180\) | 2.70372 | − | 1.29996i | 0.201523 | − | 0.0968936i | ||||
\(181\) | 14.8103i | 1.10084i | 0.834887 | + | 0.550422i | \(0.185533\pi\) | ||||
−0.834887 | + | 0.550422i | \(0.814467\pi\) | |||||||
\(182\) | −7.15471 | − | 15.2747i | −0.530342 | − | 1.13223i | ||||
\(183\) | −4.34748 | + | 4.03134i | −0.321375 | + | 0.298005i | ||||
\(184\) | 0.958379 | + | 1.65996i | 0.0706526 | + | 0.122374i | ||||
\(185\) | 2.91394 | − | 5.04710i | 0.214237 | − | 0.371070i | ||||
\(186\) | −8.50521 | + | 1.93847i | −0.623632 | + | 0.142135i | ||||
\(187\) | −15.5674 | + | 8.98783i | −1.13840 | + | 0.657255i | ||||
\(188\) | −0.607779 | −0.0443269 | ||||||||
\(189\) | −11.4486 | + | 7.61114i | −0.832763 | + | 0.553629i | ||||
\(190\) | −4.20710 | −0.305215 | ||||||||
\(191\) | −0.463759 | + | 0.267752i | −0.0335564 | + | 0.0193738i | −0.516684 | − | 0.856176i | \(-0.672834\pi\) |
0.483128 | + | 0.875550i | \(0.339501\pi\) | |||||||
\(192\) | 1.68874 | − | 0.384890i | 0.121875 | − | 0.0277771i | ||||
\(193\) | 2.76772 | − | 4.79383i | 0.199225 | − | 0.345068i | −0.749052 | − | 0.662511i | \(-0.769491\pi\) |
0.948277 | + | 0.317443i | \(0.102824\pi\) | |||||||
\(194\) | −8.82809 | − | 15.2907i | −0.633820 | − | 1.09781i | ||||
\(195\) | −8.09687 | + | 7.50809i | −0.579829 | + | 0.537666i | ||||
\(196\) | 4.48104 | − | 5.37776i | 0.320074 | − | 0.384126i | ||||
\(197\) | − | 0.666454i | − | 0.0474829i | −0.999718 | − | 0.0237414i | \(-0.992442\pi\) | ||
0.999718 | − | 0.0237414i | \(-0.00755785\pi\) | |||||||
\(198\) | 13.3978 | − | 6.44174i | 0.952140 | − | 0.457794i | ||||
\(199\) | −7.81326 | − | 4.51099i | −0.553867 | − | 0.319775i | 0.196813 | − | 0.980441i | \(-0.436941\pi\) |
−0.750680 | + | 0.660666i | \(0.770274\pi\) | |||||||
\(200\) | 0.866025 | + | 0.500000i | 0.0612372 | + | 0.0353553i | ||||
\(201\) | 4.07966 | − | 13.2113i | 0.287757 | − | 0.931853i | ||||
\(202\) | 1.14842i | 0.0808026i | ||||||||
\(203\) | 0.180907 | − | 2.10957i | 0.0126972 | − | 0.148063i | ||||
\(204\) | −4.27215 | − | 4.60717i | −0.299110 | − | 0.322566i | ||||
\(205\) | −3.72581 | − | 6.45330i | −0.260222 | − | 0.450718i | ||||
\(206\) | −3.64182 | + | 6.30781i | −0.253737 | + | 0.439486i | ||||
\(207\) | −3.24221 | + | 4.74908i | −0.225349 | + | 0.330084i | ||||
\(208\) | −5.52111 | + | 3.18762i | −0.382820 | + | 0.221021i | ||||
\(209\) | −20.8475 | −1.44205 | ||||||||
\(210\) | −4.24702 | − | 1.72127i | −0.293073 | − | 0.118779i | ||||
\(211\) | 11.4386 | 0.787467 | 0.393733 | − | 0.919225i | \(-0.371183\pi\) | ||||
0.393733 | + | 0.919225i | \(0.371183\pi\) | |||||||
\(212\) | −12.3898 | + | 7.15326i | −0.850936 | + | 0.491288i | ||||
\(213\) | −0.957449 | − | 4.20090i | −0.0656033 | − | 0.287841i | ||||
\(214\) | 1.34318 | − | 2.32646i | 0.0918181 | − | 0.159034i | ||||
\(215\) | −2.32413 | − | 4.02552i | −0.158505 | − | 0.274538i | ||||
\(216\) | 3.23594 | + | 4.06555i | 0.220178 | + | 0.276625i | ||||
\(217\) | 10.9284 | + | 7.62417i | 0.741868 | + | 0.517562i | ||||
\(218\) | 9.02343i | 0.611144i | ||||||||
\(219\) | −24.9786 | − | 7.71340i | −1.68789 | − | 0.521223i | ||||
\(220\) | 4.29143 | + | 2.47766i | 0.289328 | + | 0.167044i | ||||
\(221\) | 20.0281 | + | 11.5632i | 1.34724 | + | 0.777827i | ||||
\(222\) | 9.64481 | + | 2.97833i | 0.647317 | + | 0.199892i | ||||
\(223\) | − | 5.23397i | − | 0.350493i | −0.984525 | − | 0.175246i | \(-0.943928\pi\) | ||
0.984525 | − | 0.175246i | \(-0.0560722\pi\) | |||||||
\(224\) | −2.16988 | − | 1.51381i | −0.144981 | − | 0.101146i | ||||
\(225\) | −0.226058 | + | 2.99147i | −0.0150705 | + | 0.199431i | ||||
\(226\) | 6.21336 | + | 10.7619i | 0.413306 | + | 0.715868i | ||||
\(227\) | −6.73117 | + | 11.6587i | −0.446763 | + | 0.773817i | −0.998173 | − | 0.0604178i | \(-0.980757\pi\) |
0.551410 | + | 0.834234i | \(0.314090\pi\) | |||||||
\(228\) | −1.61927 | − | 7.10471i | −0.107239 | − | 0.470521i | ||||
\(229\) | 14.3082 | − | 8.26082i | 0.945509 | − | 0.545890i | 0.0538263 | − | 0.998550i | \(-0.482858\pi\) |
0.891683 | + | 0.452660i | \(0.149525\pi\) | |||||||
\(230\) | −1.91676 | −0.126387 | ||||||||
\(231\) | −21.0454 | − | 8.52946i | −1.38468 | − | 0.561197i | ||||
\(232\) | −0.800269 | −0.0525402 | ||||||||
\(233\) | −16.1392 | + | 9.31796i | −1.05731 | + | 0.610440i | −0.924688 | − | 0.380727i | \(-0.875674\pi\) |
−0.132625 | + | 0.991166i | \(0.542341\pi\) | |||||||
\(234\) | −15.7957 | − | 10.7838i | −1.03259 | − | 0.704956i | ||||
\(235\) | 0.303890 | − | 0.526352i | 0.0198236 | − | 0.0343354i | ||||
\(236\) | −0.875658 | − | 1.51668i | −0.0570005 | − | 0.0987278i | ||||
\(237\) | 3.14218 | + | 3.38859i | 0.204107 | + | 0.220113i | ||||
\(238\) | −0.820036 | + | 9.56249i | −0.0531551 | + | 0.619844i | ||||
\(239\) | − | 24.8065i | − | 1.60460i | −0.596922 | − | 0.802299i | \(-0.703610\pi\) | ||
0.596922 | − | 0.802299i | \(-0.296390\pi\) | |||||||
\(240\) | −0.511048 | + | 1.65494i | −0.0329880 | + | 0.106826i | ||||
\(241\) | −19.3439 | − | 11.1682i | −1.24605 | − | 0.719408i | −0.275731 | − | 0.961235i | \(-0.588920\pi\) |
−0.970319 | + | 0.241827i | \(0.922253\pi\) | |||||||
\(242\) | 11.7392 | + | 6.77761i | 0.754622 | + | 0.435681i | ||||
\(243\) | −6.78549 | + | 14.0341i | −0.435290 | + | 0.900291i | ||||
\(244\) | − | 3.42307i | − | 0.219140i | ||||||
\(245\) | 2.41676 | + | 6.56957i | 0.154401 | + | 0.419715i | ||||
\(246\) | 9.46395 | − | 8.77576i | 0.603399 | − | 0.559522i | ||||
\(247\) | 13.4106 | + | 23.2279i | 0.853297 | + | 1.47795i | ||||
\(248\) | 2.51820 | − | 4.36166i | 0.159906 | − | 0.276966i | ||||
\(249\) | 12.2808 | − | 2.79898i | 0.778265 | − | 0.177378i | ||||
\(250\) | −0.866025 | + | 0.500000i | −0.0547723 | + | 0.0316228i | ||||
\(251\) | 2.72107 | 0.171752 | 0.0858762 | − | 0.996306i | \(-0.472631\pi\) | ||||
0.0858762 | + | 0.996306i | \(0.472631\pi\) | |||||||
\(252\) | 1.27215 | − | 7.83464i | 0.0801381 | − | 0.493536i | ||||
\(253\) | −9.49815 | −0.597144 | ||||||||
\(254\) | 6.98605 | − | 4.03340i | 0.438344 | − | 0.253078i | ||||
\(255\) | 6.12600 | − | 1.39621i | 0.383625 | − | 0.0874339i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.75189 | + | 9.96256i | 0.358793 | + | 0.621448i | 0.987759 | − | 0.155985i | \(-0.0498551\pi\) |
−0.628966 | + | 0.777432i | \(0.716522\pi\) | |||||||
\(258\) | 5.90354 | − | 5.47425i | 0.367538 | − | 0.340812i | ||||
\(259\) | −6.54044 | − | 13.9633i | −0.406403 | − | 0.867635i | ||||
\(260\) | − | 6.37523i | − | 0.395375i | ||||||
\(261\) | −1.04032 | − | 2.16370i | −0.0643942 | − | 0.133930i | ||||
\(262\) | −2.92978 | − | 1.69151i | −0.181002 | − | 0.104502i | ||||
\(263\) | 11.0726 | + | 6.39277i | 0.682766 | + | 0.394195i | 0.800896 | − | 0.598803i | \(-0.204357\pi\) |
−0.118130 | + | 0.992998i | \(0.537690\pi\) | |||||||
\(264\) | −2.53241 | + | 8.20077i | −0.155859 | + | 0.504722i | ||||
\(265\) | − | 14.3065i | − | 0.878843i | ||||||
\(266\) | −6.36874 | + | 9.12889i | −0.390493 | + | 0.559728i | ||||
\(267\) | 2.21990 | + | 2.39398i | 0.135856 | + | 0.146509i | ||||
\(268\) | 3.99147 | + | 6.91343i | 0.243818 | + | 0.422305i | ||||
\(269\) | −5.84575 | + | 10.1251i | −0.356422 | + | 0.617341i | −0.987360 | − | 0.158492i | \(-0.949337\pi\) |
0.630938 | + | 0.775833i | \(0.282670\pi\) | |||||||
\(270\) | −5.13884 | + | 0.769634i | −0.312740 | + | 0.0468384i | ||||
\(271\) | 19.1130 | − | 11.0349i | 1.16103 | − | 0.670323i | 0.209482 | − | 0.977812i | \(-0.432822\pi\) |
0.951552 | + | 0.307489i | \(0.0994888\pi\) | |||||||
\(272\) | 3.62755 | 0.219952 | ||||||||
\(273\) | 4.03454 | + | 28.9351i | 0.244181 | + | 1.75123i | ||||
\(274\) | 14.8274 | 0.895756 | ||||||||
\(275\) | −4.29143 | + | 2.47766i | −0.258783 | + | 0.149409i | ||||
\(276\) | −0.737742 | − | 3.23691i | −0.0444068 | − | 0.194839i | ||||
\(277\) | 3.90328 | − | 6.76068i | 0.234525 | − | 0.406210i | −0.724609 | − | 0.689160i | \(-0.757980\pi\) |
0.959135 | + | 0.282950i | \(0.0913131\pi\) | |||||||
\(278\) | −3.62334 | − | 6.27582i | −0.217314 | − | 0.376398i | ||||
\(279\) | 15.0663 | + | 1.13852i | 0.901994 | + | 0.0681615i | ||||
\(280\) | 2.39594 | − | 1.12227i | 0.143185 | − | 0.0670682i | ||||
\(281\) | − | 23.0892i | − | 1.37738i | −0.725054 | − | 0.688692i | \(-0.758185\pi\) | ||
0.725054 | − | 0.688692i | \(-0.241815\pi\) | |||||||
\(282\) | 1.00584 | + | 0.310604i | 0.0598968 | + | 0.0184962i | ||||
\(283\) | 21.4345 | + | 12.3752i | 1.27415 | + | 0.735631i | 0.975766 | − | 0.218815i | \(-0.0702190\pi\) |
0.298384 | + | 0.954446i | \(0.403552\pi\) | |||||||
\(284\) | 2.15432 | + | 1.24379i | 0.127835 | + | 0.0738056i | ||||
\(285\) | 6.96250 | + | 2.15003i | 0.412423 | + | 0.127357i | ||||
\(286\) | − | 31.5913i | − | 1.86803i | ||||||
\(287\) | −19.6431 | − | 1.68450i | −1.15949 | − | 0.0994329i | ||||
\(288\) | −2.99147 | − | 0.226058i | −0.176274 | − | 0.0133206i | ||||
\(289\) | 1.92045 | + | 3.32632i | 0.112968 | + | 0.195666i | ||||
\(290\) | 0.400134 | − | 0.693053i | 0.0234967 | − | 0.0406975i | ||||
\(291\) | 6.79569 | + | 29.8168i | 0.398370 | + | 1.74789i | ||||
\(292\) | 13.0712 | − | 7.54666i | 0.764934 | − | 0.441635i | ||||
\(293\) | 25.3384 | 1.48029 | 0.740143 | − | 0.672449i | \(-0.234758\pi\) | ||||
0.740143 | + | 0.672449i | \(0.234758\pi\) | |||||||
\(294\) | −10.1641 | + | 6.60985i | −0.592785 | + | 0.385494i | ||||
\(295\) | 1.75132 | 0.101966 | ||||||||
\(296\) | −5.04710 | + | 2.91394i | −0.293357 | + | 0.169370i | ||||
\(297\) | −25.4646 | + | 3.81378i | −1.47761 | + | 0.221298i | ||||
\(298\) | 3.29651 | − | 5.70973i | 0.190962 | − | 0.330756i | ||||
\(299\) | 6.10989 | + | 10.5826i | 0.353344 | + | 0.612010i | ||||
\(300\) | −1.17770 | − | 1.27005i | −0.0679944 | − | 0.0733264i | ||||
\(301\) | −12.2532 | − | 1.05078i | −0.706262 | − | 0.0605659i | ||||
\(302\) | 11.7743i | 0.677538i | ||||||||
\(303\) | 0.586898 | − | 1.90057i | 0.0337164 | − | 0.109185i | ||||
\(304\) | 3.64345 | + | 2.10355i | 0.208966 | + | 0.120647i | ||||
\(305\) | 2.96447 | + | 1.71154i | 0.169745 | + | 0.0980023i | ||||
\(306\) | 4.71568 | + | 9.80787i | 0.269577 | + | 0.560678i | ||||
\(307\) | − | 13.1396i | − | 0.749919i | −0.927041 | − | 0.374960i | \(-0.877657\pi\) | ||
0.927041 | − | 0.374960i | \(-0.122343\pi\) | |||||||
\(308\) | 11.8726 | − | 5.56119i | 0.676507 | − | 0.316878i | ||||
\(309\) | 9.25059 | − | 8.57792i | 0.526248 | − | 0.487981i | ||||
\(310\) | 2.51820 | + | 4.36166i | 0.143024 | + | 0.247725i | ||||
\(311\) | 3.80332 | − | 6.58755i | 0.215667 | − | 0.373545i | −0.737812 | − | 0.675006i | \(-0.764141\pi\) |
0.953479 | + | 0.301461i | \(0.0974742\pi\) | |||||||
\(312\) | 10.7661 | − | 2.45377i | 0.609513 | − | 0.138917i | ||||
\(313\) | 10.7608 | − | 6.21272i | 0.608234 | − | 0.351164i | −0.164040 | − | 0.986454i | \(-0.552453\pi\) |
0.772274 | + | 0.635290i | \(0.219119\pi\) | |||||||
\(314\) | 1.54479 | 0.0871777 | ||||||||
\(315\) | 6.14892 | + | 5.01904i | 0.346453 | + | 0.282791i | ||||
\(316\) | −2.66807 | −0.150091 | ||||||||
\(317\) | 24.0199 | − | 13.8679i | 1.34909 | − | 0.778898i | 0.360971 | − | 0.932577i | \(-0.382445\pi\) |
0.988121 | + | 0.153679i | \(0.0491121\pi\) | |||||||
\(318\) | 24.1601 | − | 5.50644i | 1.35483 | − | 0.308786i | ||||
\(319\) | 1.98279 | − | 3.43430i | 0.111015 | − | 0.192284i | ||||
\(320\) | −0.500000 | − | 0.866025i | −0.0279508 | − | 0.0484123i | ||||
\(321\) | −3.41182 | + | 3.16373i | −0.190429 | + | 0.176582i | ||||
\(322\) | −2.90161 | + | 4.15913i | −0.161700 | + | 0.231779i | ||||
\(323\) | − | 15.2614i | − | 0.849169i | ||||||
\(324\) | −3.27761 | − | 8.38196i | −0.182089 | − | 0.465665i | ||||
\(325\) | 5.52111 | + | 3.18762i | 0.306256 | + | 0.176817i | ||||
\(326\) | 2.92508 | + | 1.68880i | 0.162005 | + | 0.0935337i | ||||
\(327\) | 4.61140 | − | 14.9332i | 0.255011 | − | 0.825810i | ||||
\(328\) | 7.45163i | 0.411447i | ||||||||
\(329\) | −0.682090 | − | 1.45620i | −0.0376048 | − | 0.0802830i | ||||
\(330\) | −5.83587 | − | 6.29351i | −0.321254 | − | 0.346446i | ||||
\(331\) | −5.89462 | − | 10.2098i | −0.323997 | − | 0.561180i | 0.657312 | − | 0.753619i | \(-0.271694\pi\) |
−0.981309 | + | 0.192439i | \(0.938360\pi\) | |||||||
\(332\) | −3.63608 | + | 6.29787i | −0.199556 | + | 0.345640i | ||||
\(333\) | −14.4395 | − | 9.85792i | −0.791281 | − | 0.540211i | ||||
\(334\) | 11.0578 | − | 6.38423i | 0.605056 | − | 0.349329i | ||||
\(335\) | −7.98294 | −0.436155 | ||||||||
\(336\) | 2.81739 | + | 3.61418i | 0.153701 | + | 0.197170i | ||||
\(337\) | −5.58238 | −0.304092 | −0.152046 | − | 0.988373i | \(-0.548586\pi\) | ||||
−0.152046 | + | 0.988373i | \(0.548586\pi\) | |||||||
\(338\) | −23.9401 | + | 13.8218i | −1.30217 | + | 0.751807i | ||||
\(339\) | −4.78292 | − | 20.9856i | −0.259773 | − | 1.13978i | ||||
\(340\) | −1.81377 | + | 3.14155i | −0.0983657 | + | 0.170374i | ||||
\(341\) | 12.4785 | + | 21.6134i | 0.675749 | + | 1.17043i | ||||
\(342\) | −0.951048 | + | 12.5854i | −0.0514268 | + | 0.680541i | ||||
\(343\) | 17.9137 | + | 4.70101i | 0.967249 | + | 0.253831i | ||||
\(344\) | 4.64827i | 0.250618i | ||||||||
\(345\) | 3.17212 | + | 0.979554i | 0.170781 | + | 0.0527374i | ||||
\(346\) | 0.214390 | + | 0.123778i | 0.0115257 | + | 0.00665435i | ||||
\(347\) | −27.6342 | − | 15.9546i | −1.48348 | − | 0.856489i | −0.483659 | − | 0.875257i | \(-0.660692\pi\) |
−0.999824 | + | 0.0187674i | \(0.994026\pi\) | |||||||
\(348\) | 1.32440 | + | 0.408975i | 0.0709951 | + | 0.0219234i | ||||
\(349\) | 1.64353i | 0.0879759i | 0.999032 | + | 0.0439879i | \(0.0140063\pi\) | ||||
−0.999032 | + | 0.0439879i | \(0.985994\pi\) | |||||||
\(350\) | −0.226058 | + | 2.63608i | −0.0120833 | + | 0.140904i | ||||
\(351\) | 20.6299 | + | 25.9188i | 1.10114 | + | 1.38344i | ||||
\(352\) | −2.47766 | − | 4.29143i | −0.132060 | − | 0.228734i | ||||
\(353\) | 7.30038 | − | 12.6446i | 0.388560 | − | 0.673006i | −0.603696 | − | 0.797215i | \(-0.706306\pi\) |
0.992256 | + | 0.124209i | \(0.0396392\pi\) | |||||||
\(354\) | 0.674065 | + | 2.95753i | 0.0358261 | + | 0.157191i | ||||
\(355\) | −2.15432 | + | 1.24379i | −0.114339 | + | 0.0660138i | ||||
\(356\) | −1.88495 | −0.0999021 | ||||||||
\(357\) | 6.24400 | − | 15.4063i | 0.330468 | − | 0.815387i | ||||
\(358\) | −19.5963 | −1.03570 | ||||||||
\(359\) | 0.438209 | − | 0.253000i | 0.0231278 | − | 0.0133528i | −0.488392 | − | 0.872625i | \(-0.662416\pi\) |
0.511519 | + | 0.859272i | \(0.329083\pi\) | |||||||
\(360\) | 1.69151 | − | 2.47766i | 0.0891503 | − | 0.130584i | ||||
\(361\) | −0.650173 | + | 1.12613i | −0.0342196 | + | 0.0592701i | ||||
\(362\) | 7.40517 | + | 12.8261i | 0.389207 | + | 0.674127i | ||||
\(363\) | −15.9639 | − | 17.2158i | −0.837889 | − | 0.903595i | ||||
\(364\) | −13.8335 | − | 9.65089i | −0.725072 | − | 0.505844i | ||||
\(365\) | 15.0933i | 0.790020i | ||||||||
\(366\) | −1.74935 | + | 5.66498i | −0.0914401 | + | 0.296113i | ||||
\(367\) | −1.17547 | − | 0.678660i | −0.0613592 | − | 0.0354258i | 0.469007 | − | 0.883195i | \(-0.344612\pi\) |
−0.530366 | + | 0.847769i | \(0.677945\pi\) | |||||||
\(368\) | 1.65996 | + | 0.958379i | 0.0865314 | + | 0.0499590i | ||||
\(369\) | −20.1471 | + | 9.68684i | −1.04882 | + | 0.504277i | ||||
\(370\) | − | 5.82789i | − | 0.302978i | ||||||
\(371\) | −31.0434 | − | 21.6574i | −1.61170 | − | 1.12439i | ||||
\(372\) | −6.39649 | + | 5.93136i | −0.331643 | + | 0.307527i | ||||
\(373\) | 17.0548 | + | 29.5397i | 0.883062 | + | 1.52951i | 0.847919 | + | 0.530125i | \(0.177855\pi\) |
0.0351422 | + | 0.999382i | \(0.488812\pi\) | |||||||
\(374\) | −8.98783 | + | 15.5674i | −0.464750 | + | 0.804970i | ||||
\(375\) | 1.68874 | − | 0.384890i | 0.0872064 | − | 0.0198757i | ||||
\(376\) | −0.526352 | + | 0.303890i | −0.0271445 | + | 0.0156719i | ||||
\(377\) | −5.10190 | −0.262761 | ||||||||
\(378\) | −6.10921 | + | 12.3157i | −0.314224 | + | 0.633453i | ||||
\(379\) | −1.53951 | −0.0790795 | −0.0395398 | − | 0.999218i | \(-0.512589\pi\) | ||||
−0.0395398 | + | 0.999218i | \(0.512589\pi\) | |||||||
\(380\) | −3.64345 | + | 2.10355i | −0.186905 | + | 0.107910i | ||||
\(381\) | −13.6228 | + | 3.10483i | −0.697915 | + | 0.159065i | ||||
\(382\) | −0.267752 | + | 0.463759i | −0.0136994 | + | 0.0237280i | ||||
\(383\) | 16.2631 | + | 28.1685i | 0.831004 | + | 1.43934i | 0.897243 | + | 0.441537i | \(0.145567\pi\) |
−0.0662394 | + | 0.997804i | \(0.521100\pi\) | |||||||
\(384\) | 1.27005 | − | 1.17770i | 0.0648120 | − | 0.0600991i | ||||
\(385\) | −1.12019 | + | 13.0626i | −0.0570902 | + | 0.665732i | ||||
\(386\) | − | 5.53544i | − | 0.281747i | ||||||
\(387\) | −12.5676 | + | 6.04258i | −0.638848 | + | 0.307162i | ||||
\(388\) | −15.2907 | − | 8.82809i | −0.776267 | − | 0.448178i | ||||
\(389\) | −6.15025 | − | 3.55085i | −0.311830 | − | 0.180035i | 0.335915 | − | 0.941892i | \(-0.390954\pi\) |
−0.647745 | + | 0.761857i | \(0.724288\pi\) | |||||||
\(390\) | −3.25805 | + | 10.5506i | −0.164978 | + | 0.534252i | ||||
\(391\) | − | 6.95313i | − | 0.351635i | ||||||
\(392\) | 1.19181 | − | 6.89780i | 0.0601956 | − | 0.348391i | ||||
\(393\) | 3.98417 | + | 4.29660i | 0.200975 | + | 0.216735i | ||||
\(394\) | −0.333227 | − | 0.577166i | −0.0167877 | − | 0.0290772i | ||||
\(395\) | 1.33404 | − | 2.31062i | 0.0671227 | − | 0.116260i | ||||
\(396\) | 8.38196 | − | 12.2776i | 0.421209 | − | 0.616973i | ||||
\(397\) | 11.2790 | − | 6.51194i | 0.566077 | − | 0.326825i | −0.189504 | − | 0.981880i | \(-0.560688\pi\) |
0.755581 | + | 0.655055i | \(0.227355\pi\) | |||||||
\(398\) | −9.02198 | −0.452231 | ||||||||
\(399\) | 15.2052 | − | 11.8530i | 0.761212 | − | 0.593395i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 20.2676 | − | 11.7015i | 1.01211 | − | 0.584345i | 0.100305 | − | 0.994957i | \(-0.468018\pi\) |
0.911810 | + | 0.410612i | \(0.134685\pi\) | |||||||
\(402\) | −3.07256 | − | 13.4812i | −0.153245 | − | 0.672379i | ||||
\(403\) | 16.0541 | − | 27.8066i | 0.799714 | − | 1.38514i | ||||
\(404\) | 0.574210 | + | 0.994562i | 0.0285680 | + | 0.0494813i | ||||
\(405\) | 8.89780 | + | 1.35249i | 0.442135 | + | 0.0672059i | ||||
\(406\) | −0.898114 | − | 1.91739i | −0.0445727 | − | 0.0951587i | ||||
\(407\) | − | 28.8791i | − | 1.43148i | ||||||
\(408\) | −6.00338 | − | 1.85385i | −0.297211 | − | 0.0917792i | ||||
\(409\) | 11.4311 | + | 6.59972i | 0.565229 | + | 0.326335i | 0.755242 | − | 0.655447i | \(-0.227520\pi\) |
−0.190013 | + | 0.981782i | \(0.560853\pi\) | |||||||
\(410\) | −6.45330 | − | 3.72581i | −0.318706 | − | 0.184005i | ||||
\(411\) | −24.5385 | − | 7.57751i | −1.21039 | − | 0.373771i | ||||
\(412\) | 7.28364i | 0.358839i | ||||||||
\(413\) | 2.65116 | − | 3.80015i | 0.130455 | − | 0.186993i | ||||
\(414\) | −0.433299 | + | 5.73392i | −0.0212955 | + | 0.281807i | ||||
\(415\) | −3.63608 | − | 6.29787i | −0.178488 | − | 0.309150i | ||||
\(416\) | −3.18762 | + | 5.52111i | −0.156286 | + | 0.270695i | ||||
\(417\) | 2.78918 | + | 12.2378i | 0.136587 | + | 0.599288i | ||||
\(418\) | −18.0545 | + | 10.4238i | −0.883073 | + | 0.509843i | ||||
\(419\) | 27.9492 | 1.36541 | 0.682704 | − | 0.730695i | \(-0.260804\pi\) | ||||
0.682704 | + | 0.730695i | \(0.260804\pi\) | |||||||
\(420\) | −4.53867 | + | 0.632846i | −0.221464 | + | 0.0308797i | ||||
\(421\) | 24.6795 | 1.20281 | 0.601403 | − | 0.798946i | \(-0.294609\pi\) | ||||
0.601403 | + | 0.798946i | \(0.294609\pi\) | |||||||
\(422\) | 9.90613 | − | 5.71931i | 0.482223 | − | 0.278412i | ||||
\(423\) | −1.50587 | − | 1.02806i | −0.0732179 | − | 0.0499861i | ||||
\(424\) | −7.15326 | + | 12.3898i | −0.347393 | + | 0.601703i | ||||
\(425\) | −1.81377 | − | 3.14155i | −0.0879809 | − | 0.152387i | ||||
\(426\) | −2.92963 | − | 3.15936i | −0.141941 | − | 0.153072i | ||||
\(427\) | 8.20147 | − | 3.84160i | 0.396897 | − | 0.185908i | ||||
\(428\) | − | 2.68637i | − | 0.129850i | ||||||
\(429\) | −16.1447 | + | 52.2818i | −0.779472 | + | 2.52419i | ||||
\(430\) | −4.02552 | − | 2.32413i | −0.194128 | − | 0.112080i | ||||
\(431\) | 2.89638 | + | 1.67223i | 0.139514 | + | 0.0805483i | 0.568132 | − | 0.822937i | \(-0.307666\pi\) |
−0.428619 | + | 0.903486i | \(0.641000\pi\) | |||||||
\(432\) | 4.83518 | + | 1.90290i | 0.232633 | + | 0.0915532i | ||||
\(433\) | − | 14.6756i | − | 0.705264i | −0.935762 | − | 0.352632i | \(-0.885287\pi\) | ||
0.935762 | − | 0.352632i | \(-0.114713\pi\) | |||||||
\(434\) | 13.2764 | + | 1.13852i | 0.637285 | + | 0.0546507i | ||||
\(435\) | −1.01638 | + | 0.942474i | −0.0487318 | + | 0.0451882i | ||||
\(436\) | 4.51172 | + | 7.81452i | 0.216072 | + | 0.374248i | ||||
\(437\) | 4.03199 | − | 6.98361i | 0.192876 | − | 0.334072i | ||||
\(438\) | −25.4888 | + | 5.80927i | −1.21790 | + | 0.277578i | ||||
\(439\) | −5.70453 | + | 3.29351i | −0.272262 | + | 0.157191i | −0.629915 | − | 0.776664i | \(-0.716910\pi\) |
0.357653 | + | 0.933855i | \(0.383577\pi\) | |||||||
\(440\) | 4.95532 | 0.236236 | ||||||||
\(441\) | 20.1990 | − | 5.74456i | 0.961858 | − | 0.273550i | ||||
\(442\) | 23.1265 | 1.10001 | ||||||||
\(443\) | −35.2654 | + | 20.3605i | −1.67551 | + | 0.967357i | −0.711047 | + | 0.703144i | \(0.751779\pi\) |
−0.964464 | + | 0.264213i | \(0.914888\pi\) | |||||||
\(444\) | 9.84182 | − | 2.24310i | 0.467072 | − | 0.106453i | ||||
\(445\) | 0.942474 | − | 1.63241i | 0.0446776 | − | 0.0773838i | ||||
\(446\) | −2.61699 | − | 4.53275i | −0.123918 | − | 0.214632i | ||||
\(447\) | −8.37348 | + | 7.76459i | −0.396052 | + | 0.367253i | ||||
\(448\) | −2.63608 | − | 0.226058i | −0.124543 | − | 0.0106802i | ||||
\(449\) | 18.3485i | 0.865919i | 0.901413 | + | 0.432960i | \(0.142531\pi\) | ||||
−0.901413 | + | 0.432960i | \(0.857469\pi\) | |||||||
\(450\) | 1.29996 | + | 2.70372i | 0.0612809 | + | 0.127455i | ||||
\(451\) | −31.9782 | − | 18.4626i | −1.50579 | − | 0.869370i | ||||
\(452\) | 10.7619 | + | 6.21336i | 0.506195 | + | 0.292252i | ||||
\(453\) | 6.01725 | − | 19.4859i | 0.282715 | − | 0.915525i | ||||
\(454\) | 13.4623i | 0.631819i | ||||||||
\(455\) | 15.2747 | − | 7.15471i | 0.716087 | − | 0.335418i | ||||
\(456\) | −4.95469 | − | 5.34323i | −0.232024 | − | 0.250219i | ||||
\(457\) | 4.32166 | + | 7.48533i | 0.202159 | + | 0.350149i | 0.949224 | − | 0.314602i | \(-0.101871\pi\) |
−0.747065 | + | 0.664751i | \(0.768538\pi\) | |||||||
\(458\) | 8.26082 | − | 14.3082i | 0.386003 | − | 0.668576i | ||||
\(459\) | −2.79188 | − | 18.6414i | −0.130314 | − | 0.870105i | ||||
\(460\) | −1.65996 | + | 0.958379i | −0.0773961 | + | 0.0446846i | ||||
\(461\) | −24.7864 | −1.15442 | −0.577210 | − | 0.816596i | \(-0.695859\pi\) | ||||
−0.577210 | + | 0.816596i | \(0.695859\pi\) | |||||||
\(462\) | −22.4906 | + | 3.13596i | −1.04636 | + | 0.145898i | ||||
\(463\) | −17.9797 | −0.835589 | −0.417794 | − | 0.908542i | \(-0.637197\pi\) | ||||
−0.417794 | + | 0.908542i | \(0.637197\pi\) | |||||||
\(464\) | −0.693053 | + | 0.400134i | −0.0321742 | + | 0.0185758i | ||||
\(465\) | −1.93847 | − | 8.50521i | −0.0898942 | − | 0.394420i | ||||
\(466\) | −9.31796 | + | 16.1392i | −0.431646 | + | 0.747633i | ||||
\(467\) | −0.636712 | − | 1.10282i | −0.0294635 | − | 0.0510323i | 0.850918 | − | 0.525299i | \(-0.176047\pi\) |
−0.880381 | + | 0.474267i | \(0.842713\pi\) | |||||||
\(468\) | −19.0713 | − | 1.44117i | −0.881572 | − | 0.0666182i | ||||
\(469\) | −12.0847 | + | 17.3220i | −0.558018 | + | 0.799857i | ||||
\(470\) | − | 0.607779i | − | 0.0280348i | ||||||
\(471\) | −2.55654 | − | 0.789463i | −0.117799 | − | 0.0363765i | ||||
\(472\) | −1.51668 | − | 0.875658i | −0.0698111 | − | 0.0403054i | ||||
\(473\) | −19.9477 | − | 11.5168i | −0.917198 | − | 0.529545i | ||||
\(474\) | 4.41551 | + | 1.36351i | 0.202811 | + | 0.0626282i | ||||
\(475\) | − | 4.20710i | − | 0.193035i | ||||||
\(476\) | 4.07107 | + | 8.69138i | 0.186597 | + | 0.398369i | ||||
\(477\) | −42.7976 | − | 3.23411i | −1.95957 | − | 0.148080i | ||||
\(478\) | −12.4032 | − | 21.4831i | −0.567311 | − | 0.982612i | ||||
\(479\) | 7.11334 | − | 12.3207i | 0.325017 | − | 0.562945i | −0.656499 | − | 0.754327i | \(-0.727963\pi\) |
0.981516 | + | 0.191381i | \(0.0612967\pi\) | |||||||
\(480\) | 0.384890 | + | 1.68874i | 0.0175678 | + | 0.0770803i | ||||
\(481\) | −32.1764 | + | 18.5771i | −1.46712 | + | 0.847042i | ||||
\(482\) | −22.3364 | −1.01740 | ||||||||
\(483\) | 6.92751 | − | 5.40026i | 0.315212 | − | 0.245720i | ||||
\(484\) | 13.5552 | 0.616146 | ||||||||
\(485\) | 15.2907 | − | 8.82809i | 0.694315 | − | 0.400863i | ||||
\(486\) | 1.14066 | + | 15.5467i | 0.0517415 | + | 0.705211i | ||||
\(487\) | −19.9476 | + | 34.5502i | −0.903910 | + | 1.56562i | −0.0815361 | + | 0.996670i | \(0.525983\pi\) |
−0.822374 | + | 0.568947i | \(0.807351\pi\) | |||||||
\(488\) | −1.71154 | − | 2.96447i | −0.0774776 | − | 0.134195i | ||||
\(489\) | −3.97778 | − | 4.28971i | −0.179881 | − | 0.193988i | ||||
\(490\) | 5.37776 | + | 4.48104i | 0.242942 | + | 0.202433i | ||||
\(491\) | − | 15.9778i | − | 0.721069i | −0.932746 | − | 0.360535i | \(-0.882594\pi\) | ||
0.932746 | − | 0.360535i | \(-0.117406\pi\) | |||||||
\(492\) | 3.80814 | − | 12.3320i | 0.171684 | − | 0.555970i | ||||
\(493\) | 2.51408 | + | 1.45151i | 0.113229 | + | 0.0653725i | ||||
\(494\) | 23.2279 | + | 13.4106i | 1.04507 | + | 0.603372i | ||||
\(495\) | 6.44174 | + | 13.3978i | 0.289535 | + | 0.602186i | ||||
\(496\) | − | 5.03641i | − | 0.226141i | ||||||
\(497\) | −0.562340 | + | 6.55747i | −0.0252244 | + | 0.294143i | ||||
\(498\) | 9.23600 | − | 8.56439i | 0.413875 | − | 0.383780i | ||||
\(499\) | 6.90313 | + | 11.9566i | 0.309027 | + | 0.535250i | 0.978150 | − | 0.207902i | \(-0.0666634\pi\) |
−0.669123 | + | 0.743152i | \(0.733330\pi\) | |||||||
\(500\) | −0.500000 | + | 0.866025i | −0.0223607 | + | 0.0387298i | ||||
\(501\) | −21.5627 | + | 4.91446i | −0.963349 | + | 0.219562i | ||||
\(502\) | 2.35652 | − | 1.36054i | 0.105176 | − | 0.0607237i | ||||
\(503\) | 2.11183 | 0.0941620 | 0.0470810 | − | 0.998891i | \(-0.485008\pi\) | ||||
0.0470810 | + | 0.998891i | \(0.485008\pi\) | |||||||
\(504\) | −2.81561 | − | 7.42108i | −0.125417 | − | 0.330561i | ||||
\(505\) | −1.14842 | −0.0511041 | ||||||||
\(506\) | −8.22564 | + | 4.74908i | −0.365674 | + | 0.211122i | ||||
\(507\) | 46.6830 | − | 10.6398i | 2.07326 | − | 0.472528i | ||||
\(508\) | 4.03340 | − | 6.98605i | 0.178953 | − | 0.309956i | ||||
\(509\) | −8.09556 | − | 14.0219i | −0.358830 | − | 0.621511i | 0.628936 | − | 0.777457i | \(-0.283491\pi\) |
−0.987766 | + | 0.155946i | \(0.950157\pi\) | |||||||
\(510\) | 4.60717 | − | 4.27215i | 0.204009 | − | 0.189174i | ||||
\(511\) | 32.7507 | + | 22.8484i | 1.44880 | + | 1.01075i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 8.00567 | − | 20.3421i | 0.353459 | − | 0.898124i | ||||
\(514\) | 9.96256 | + | 5.75189i | 0.439430 | + | 0.253705i | ||||
\(515\) | −6.30781 | − | 3.64182i | −0.277955 | − | 0.160478i | ||||
\(516\) | 2.37549 | − | 7.69261i | 0.104575 | − | 0.338648i | ||||
\(517\) | − | 3.01174i | − | 0.132456i | ||||||
\(518\) | −12.6458 | − | 8.82232i | −0.555625 | − | 0.387630i | ||||
\(519\) | −0.291546 | − | 0.314409i | −0.0127975 | − | 0.0138010i | ||||
\(520\) | −3.18762 | − | 5.52111i | −0.139786 | − | 0.242117i | ||||
\(521\) | −12.4676 | + | 21.5945i | −0.546216 | + | 0.946073i | 0.452314 | + | 0.891859i | \(0.350599\pi\) |
−0.998529 | + | 0.0542143i | \(0.982735\pi\) | |||||||
\(522\) | −1.98279 | − | 1.35366i | −0.0867845 | − | 0.0592481i | ||||
\(523\) | 17.0768 | − | 9.85929i | 0.746716 | − | 0.431116i | −0.0777903 | − | 0.996970i | \(-0.524786\pi\) |
0.824506 | + | 0.565853i | \(0.191453\pi\) | |||||||
\(524\) | −3.38301 | −0.147788 | ||||||||
\(525\) | 1.72127 | − | 4.24702i | 0.0751225 | − | 0.185355i | ||||
\(526\) | 12.7855 | 0.557476 | ||||||||
\(527\) | −15.8221 | + | 9.13490i | −0.689222 | + | 0.397923i | ||||
\(528\) | 1.90726 | + | 8.36827i | 0.0830026 | + | 0.364182i | ||||
\(529\) | −9.66302 | + | 16.7368i | −0.420131 | + | 0.727689i | ||||
\(530\) | −7.15326 | − | 12.3898i | −0.310718 | − | 0.538179i | ||||
\(531\) | 0.395899 | − | 5.23901i | 0.0171806 | − | 0.227354i | ||||
\(532\) | −0.951048 | + | 11.0902i | −0.0412332 | + | 0.480822i | ||||
\(533\) | 47.5059i | 2.05771i | ||||||||
\(534\) | 3.11948 | + | 0.963298i | 0.134993 | + | 0.0416860i | ||||
\(535\) | 2.32646 | + | 1.34318i | 0.100582 | + | 0.0580709i | ||||
\(536\) | 6.91343 | + | 3.99147i | 0.298615 | + | 0.172405i | ||||
\(537\) | 32.4307 | + | 10.0146i | 1.39949 | + | 0.432164i | ||||
\(538\) | 11.6915i | 0.504057i | ||||||||
\(539\) | 26.6485 | + | 22.2050i | 1.14783 | + | 0.956436i | ||||
\(540\) | −4.06555 | + | 3.23594i | −0.174953 | + | 0.139253i | ||||
\(541\) | 4.27923 | + | 7.41184i | 0.183978 | + | 0.318660i | 0.943232 | − | 0.332135i | \(-0.107769\pi\) |
−0.759253 | + | 0.650795i | \(0.774436\pi\) | |||||||
\(542\) | 11.0349 | − | 19.1130i | 0.473990 | − | 0.820975i | ||||
\(543\) | −5.70036 | − | 25.0109i | −0.244626 | − | 1.07332i | ||||
\(544\) | 3.14155 | − | 1.81377i | 0.134693 | − | 0.0777649i | ||||
\(545\) | −9.02343 | −0.386521 | ||||||||
\(546\) | 17.9615 | + | 23.0412i | 0.768683 | + | 0.986074i | ||||
\(547\) | −33.5472 | −1.43437 | −0.717187 | − | 0.696881i | \(-0.754570\pi\) | ||||
−0.717187 | + | 0.696881i | \(0.754570\pi\) | |||||||
\(548\) | 12.8409 | − | 7.41370i | 0.548536 | − | 0.316698i | ||||
\(549\) | 5.79015 | − | 8.48121i | 0.247118 | − | 0.361969i | ||||
\(550\) | −2.47766 | + | 4.29143i | −0.105648 | + | 0.182987i | ||||
\(551\) | 1.68340 | + | 2.91574i | 0.0717154 | + | 0.124215i | ||||
\(552\) | −2.25736 | − | 2.43438i | −0.0960796 | − | 0.103614i | ||||
\(553\) | −2.99429 | − | 6.39254i | −0.127330 | − | 0.271838i | ||||
\(554\) | − | 7.80656i | − | 0.331669i | ||||||
\(555\) | −2.97833 | + | 9.64481i | −0.126423 | + | 0.409400i | ||||
\(556\) | −6.27582 | − | 3.62334i | −0.266154 | − | 0.153664i | ||||
\(557\) | 4.63348 | + | 2.67514i | 0.196327 | + | 0.113349i | 0.594941 | − | 0.803769i | \(-0.297175\pi\) |
−0.398614 | + | 0.917119i | \(0.630509\pi\) | |||||||
\(558\) | 13.6170 | − | 6.54715i | 0.576455 | − | 0.277163i | ||||
\(559\) | 29.6338i | 1.25338i | ||||||||
\(560\) | 1.51381 | − | 2.16988i | 0.0639702 | − | 0.0916942i | ||||
\(561\) | 22.8300 | − | 21.1699i | 0.963883 | − | 0.893793i | ||||
\(562\) | −11.5446 | − | 19.9958i | −0.486979 | − | 0.843472i | ||||
\(563\) | −14.6685 | + | 25.4066i | −0.618205 | + | 1.07076i | 0.371609 | + | 0.928390i | \(0.378806\pi\) |
−0.989813 | + | 0.142372i | \(0.954527\pi\) | |||||||
\(564\) | 1.02638 | − | 0.233928i | 0.0432186 | − | 0.00985016i | ||||
\(565\) | −10.7619 | + | 6.21336i | −0.452755 | + | 0.261398i | ||||
\(566\) | 24.7505 | 1.04034 | ||||||||
\(567\) | 16.4043 | − | 17.2597i | 0.688917 | − | 0.724841i | ||||
\(568\) | 2.48759 | 0.104377 | ||||||||
\(569\) | 36.5568 | − | 21.1061i | 1.53254 | − | 0.884812i | 0.533295 | − | 0.845929i | \(-0.320954\pi\) |
0.999244 | − | 0.0388825i | \(-0.0123798\pi\) | |||||||
\(570\) | 7.10471 | − | 1.61927i | 0.297584 | − | 0.0678238i | ||||
\(571\) | 15.6790 | − | 27.1568i | 0.656145 | − | 1.13648i | −0.325461 | − | 0.945556i | \(-0.605519\pi\) |
0.981605 | − | 0.190921i | \(-0.0611473\pi\) | |||||||
\(572\) | −15.7957 | − | 27.3589i | −0.660450 | − | 1.14393i | ||||
\(573\) | 0.680116 | − | 0.630661i | 0.0284123 | − | 0.0263462i | ||||
\(574\) | −17.8536 | + | 8.36271i | −0.745196 | + | 0.349053i | ||||
\(575\) | − | 1.91676i | − | 0.0799343i | ||||||
\(576\) | −2.70372 | + | 1.29996i | −0.112655 | + | 0.0541651i | ||||
\(577\) | −27.7794 | − | 16.0385i | −1.15647 | − | 0.667689i | −0.206016 | − | 0.978549i | \(-0.566050\pi\) |
−0.950456 | + | 0.310859i | \(0.899383\pi\) | |||||||
\(578\) | 3.32632 | + | 1.92045i | 0.138357 | + | 0.0798802i | ||||
\(579\) | −2.82887 | + | 9.16083i | −0.117564 | + | 0.380711i | ||||
\(580\) | − | 0.800269i | − | 0.0332293i | ||||||
\(581\) | −19.1699 | − | 1.64393i | −0.795303 | − | 0.0682017i | ||||
\(582\) | 20.7936 | + | 22.4242i | 0.861924 | + | 0.929515i | ||||
\(583\) | −35.4467 | − | 61.3955i | −1.46805 | − | 2.54274i | ||||
\(584\) | 7.54666 | − | 13.0712i | 0.312283 | − | 0.540890i | ||||
\(585\) | 10.7838 | − | 15.7957i | 0.445853 | − | 0.653070i | ||||
\(586\) | 21.9437 | − | 12.6692i | 0.906487 | − | 0.523360i | ||||
\(587\) | −1.93731 | −0.0799612 | −0.0399806 | − | 0.999200i | \(-0.512730\pi\) | ||||
−0.0399806 | + | 0.999200i | \(0.512730\pi\) | |||||||
\(588\) | −5.49748 | + | 10.8064i | −0.226712 | + | 0.445647i | ||||
\(589\) | −21.1887 | −0.873063 | ||||||||
\(590\) | 1.51668 | − | 0.875658i | 0.0624409 | − | 0.0360503i | ||||
\(591\) | 0.256512 | + | 1.12547i | 0.0105515 | + | 0.0462957i | ||||
\(592\) | −2.91394 | + | 5.04710i | −0.119762 | + | 0.207435i | ||||
\(593\) | 5.63074 | + | 9.75274i | 0.231227 | + | 0.400497i | 0.958169 | − | 0.286201i | \(-0.0923927\pi\) |
−0.726942 | + | 0.686698i | \(0.759059\pi\) | |||||||
\(594\) | −20.1461 | + | 16.0351i | −0.826604 | + | 0.657929i | ||||
\(595\) | −9.56249 | − | 0.820036i | −0.392024 | − | 0.0336182i | ||||
\(596\) | − | 6.59303i | − | 0.270061i | ||||||
\(597\) | 14.9308 | + | 4.61066i | 0.611079 | + | 0.188702i | ||||
\(598\) | 10.5826 | + | 6.10989i | 0.432756 | + | 0.249852i | ||||
\(599\) | 38.4047 | + | 22.1730i | 1.56917 | + | 0.905963i | 0.996265 | + | 0.0863446i | \(0.0275186\pi\) |
0.572909 | + | 0.819619i | \(0.305815\pi\) | |||||||
\(600\) | −1.65494 | − | 0.511048i | −0.0675627 | − | 0.0208634i | ||||
\(601\) | 17.7126i | 0.722514i | 0.932466 | + | 0.361257i | \(0.117652\pi\) | ||||
−0.932466 | + | 0.361257i | \(0.882348\pi\) | |||||||
\(602\) | −11.1370 | + | 5.21659i | −0.453909 | + | 0.212613i | ||||
\(603\) | −1.80461 | + | 23.8807i | −0.0734893 | + | 0.972499i | ||||
\(604\) | 5.88717 | + | 10.1969i | 0.239546 | + | 0.414905i | ||||
\(605\) | −6.77761 | + | 11.7392i | −0.275549 | + | 0.477265i | ||||
\(606\) | −0.442016 | − | 1.93939i | −0.0179557 | − | 0.0787823i | ||||
\(607\) | −15.8915 | + | 9.17497i | −0.645016 | + | 0.372400i | −0.786544 | − | 0.617534i | \(-0.788132\pi\) |
0.141528 | + | 0.989934i | \(0.454799\pi\) | |||||||
\(608\) | 4.20710 | 0.170620 | ||||||||
\(609\) | 0.506447 | + | 3.63215i | 0.0205223 | + | 0.147182i | ||||
\(610\) | 3.42307 | 0.138596 | ||||||||
\(611\) | −3.35562 | + | 1.93737i | −0.135754 | + | 0.0783775i | ||||
\(612\) | 8.98783 | + | 6.13602i | 0.363312 | + | 0.248034i | ||||
\(613\) | −0.315836 | + | 0.547045i | −0.0127565 | + | 0.0220949i | −0.872333 | − | 0.488912i | \(-0.837394\pi\) |
0.859577 | + | 0.511007i | \(0.170727\pi\) | |||||||
\(614\) | −6.56982 | − | 11.3793i | −0.265136 | − | 0.459230i | ||||
\(615\) | 8.77576 | + | 9.46395i | 0.353873 | + | 0.381623i | ||||
\(616\) | 7.50142 | − | 10.7525i | 0.302241 | − | 0.433229i | ||||
\(617\) | − | 15.5902i | − | 0.627638i | −0.949483 | − | 0.313819i | \(-0.898392\pi\) | ||
0.949483 | − | 0.313819i | \(-0.101608\pi\) | |||||||
\(618\) | 3.72228 | − | 12.0540i | 0.149732 | − | 0.484883i | ||||
\(619\) | 10.9863 | + | 6.34296i | 0.441578 | + | 0.254945i | 0.704267 | − | 0.709936i | \(-0.251276\pi\) |
−0.262689 | + | 0.964881i | \(0.584609\pi\) | |||||||
\(620\) | 4.36166 | + | 2.51820i | 0.175168 | + | 0.101134i | ||||
\(621\) | 3.64739 | − | 9.26787i | 0.146365 | − | 0.371907i | ||||
\(622\) | − | 7.60664i | − | 0.304999i | ||||||
\(623\) | −2.11541 | − | 4.51622i | −0.0847522 | − | 0.180938i | ||||
\(624\) | 8.09687 | − | 7.50809i | 0.324134 | − | 0.300564i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 6.21272 | − | 10.7608i | 0.248310 | − | 0.430086i | ||||
\(627\) | 35.2061 | − | 8.02401i | 1.40600 | − | 0.320448i | ||||
\(628\) | 1.33783 | − | 0.772397i | 0.0533852 | − | 0.0308220i | ||||
\(629\) | 21.1409 | 0.842945 | ||||||||
\(630\) | 7.83464 | + | 1.27215i | 0.312140 | + | 0.0506838i | ||||
\(631\) | −5.96052 | −0.237284 | −0.118642 | − | 0.992937i | \(-0.537854\pi\) | ||||
−0.118642 | + | 0.992937i | \(0.537854\pi\) | |||||||
\(632\) | −2.31062 | + | 1.33404i | −0.0919115 | + | 0.0530651i | ||||
\(633\) | −19.3169 | + | 4.40261i | −0.767778 | + | 0.174988i | ||||
\(634\) | 13.8679 | − | 24.0199i | 0.550764 | − | 0.953952i | ||||
\(635\) | 4.03340 | + | 6.98605i | 0.160060 | + | 0.277233i | ||||
\(636\) | 18.1700 | − | 16.8488i | 0.720488 | − | 0.668097i | ||||
\(637\) | 7.59808 | − | 43.9751i | 0.301047 | − | 1.74235i | ||||
\(638\) | − | 3.96559i | − | 0.156999i | ||||||
\(639\) | 3.23377 | + | 6.72574i | 0.127926 | + | 0.266066i | ||||
\(640\) | −0.866025 | − | 0.500000i | −0.0342327 | − | 0.0197642i | ||||
\(641\) | −11.2070 | − | 6.47036i | −0.442649 | − | 0.255564i | 0.262071 | − | 0.965048i | \(-0.415594\pi\) |
−0.704721 | + | 0.709485i | \(0.748928\pi\) | |||||||
\(642\) | −1.37286 | + | 4.44578i | −0.0541825 | + | 0.175461i | ||||
\(643\) | 27.7420i | 1.09404i | 0.837120 | + | 0.547019i | \(0.184237\pi\) | ||||
−0.837120 | + | 0.547019i | \(0.815763\pi\) | |||||||
\(644\) | −0.433299 | + | 5.05272i | −0.0170744 | + | 0.199105i | ||||
\(645\) | 5.47425 | + | 5.90354i | 0.215549 | + | 0.232452i | ||||
\(646\) | −7.63072 | − | 13.2168i | −0.300227 | − | 0.520008i | ||||
\(647\) | −23.3856 | + | 40.5050i | −0.919382 | + | 1.59242i | −0.119027 | + | 0.992891i | \(0.537977\pi\) |
−0.800356 | + | 0.599526i | \(0.795356\pi\) | |||||||
\(648\) | −7.02947 | − | 5.62019i | −0.276144 | − | 0.220782i | ||||
\(649\) | 7.51566 | − | 4.33917i | 0.295015 | − | 0.170327i | ||||
\(650\) | 6.37523 | 0.250057 | ||||||||
\(651\) | −21.3897 | − | 8.66903i | −0.838330 | − | 0.339766i | ||||
\(652\) | 3.37759 | 0.132277 | ||||||||
\(653\) | 27.3651 | − | 15.7992i | 1.07088 | − | 0.618271i | 0.142456 | − | 0.989801i | \(-0.454500\pi\) |
0.928421 | + | 0.371530i | \(0.121167\pi\) | |||||||
\(654\) | −3.47303 | − | 15.2383i | −0.135806 | − | 0.595864i | ||||
\(655\) | 1.69151 | − | 2.92978i | 0.0660927 | − | 0.114476i | ||||
\(656\) | 3.72581 | + | 6.45330i | 0.145469 | + | 0.251959i | ||||
\(657\) | 45.1512 | + | 3.41197i | 1.76152 | + | 0.133113i | ||||
\(658\) | −1.31881 | − | 0.920062i | −0.0514125 | − | 0.0358678i | ||||
\(659\) | 29.8627i | 1.16329i | 0.813444 | + | 0.581643i | \(0.197590\pi\) | ||||
−0.813444 | + | 0.581643i | \(0.802410\pi\) | |||||||
\(660\) | −8.20077 | − | 2.53241i | −0.319214 | − | 0.0985737i | ||||
\(661\) | −12.0007 | − | 6.92861i | −0.466773 | − | 0.269492i | 0.248115 | − | 0.968731i | \(-0.420189\pi\) |
−0.714888 | + | 0.699239i | \(0.753522\pi\) | |||||||
\(662\) | −10.2098 | − | 5.89462i | −0.396814 | − | 0.229101i | ||||
\(663\) | −38.2729 | − | 11.8187i | −1.48640 | − | 0.459001i | ||||
\(664\) | 7.27215i | 0.282214i | ||||||||
\(665\) | −9.12889 | − | 6.36874i | −0.354003 | − | 0.246969i | ||||
\(666\) | −17.4340 | − | 1.31744i | −0.675552 | − | 0.0510498i | ||||
\(667\) | 0.766960 | + | 1.32841i | 0.0296968 | + | 0.0514364i | ||||
\(668\) | 6.38423 | − | 11.0578i | 0.247013 | − | 0.427840i | ||||
\(669\) | 2.01450 | + | 8.83884i | 0.0778853 | + | 0.341729i | ||||
\(670\) | −6.91343 | + | 3.99147i | −0.267089 | + | 0.154204i | ||||
\(671\) | 16.9624 | 0.654827 | ||||||||
\(672\) | 4.24702 | + | 1.72127i | 0.163833 | + | 0.0663996i | ||||
\(673\) | 21.1836 | 0.816568 | 0.408284 | − | 0.912855i | \(-0.366127\pi\) | ||||
0.408284 | + | 0.912855i | \(0.366127\pi\) | |||||||
\(674\) | −4.83448 | + | 2.79119i | −0.186217 | + | 0.107513i | ||||
\(675\) | −0.769634 | − | 5.13884i | −0.0296232 | − | 0.197794i | ||||
\(676\) | −13.8218 | + | 23.9401i | −0.531608 | + | 0.920771i | ||||
\(677\) | −24.1682 | − | 41.8606i | −0.928860 | − | 1.60883i | −0.785232 | − | 0.619202i | \(-0.787456\pi\) |
−0.143628 | − | 0.989632i | \(-0.545877\pi\) | |||||||
\(678\) | −14.6349 | − | 15.7826i | −0.562050 | − | 0.606126i | ||||
\(679\) | 3.99132 | − | 46.5430i | 0.153173 | − | 1.78616i | ||||
\(680\) | 3.62755i | 0.139110i | ||||||||
\(681\) | 6.87989 | − | 22.2794i | 0.263638 | − | 0.853747i | ||||
\(682\) | 21.6134 | + | 12.4785i | 0.827620 | + | 0.477827i | ||||
\(683\) | −22.8004 | − | 13.1638i | −0.872433 | − | 0.503699i | −0.00427708 | − | 0.999991i | \(-0.501361\pi\) |
−0.868156 | + | 0.496291i | \(0.834695\pi\) | |||||||
\(684\) | 5.46907 | + | 11.3748i | 0.209115 | + | 0.434926i | ||||
\(685\) | 14.8274i | 0.566526i | ||||||||
\(686\) | 17.8642 | − | 4.88565i | 0.682059 | − | 0.186535i | ||||
\(687\) | −20.9833 | + | 19.4575i | −0.800563 | + | 0.742349i | ||||
\(688\) | 2.32413 | + | 4.02552i | 0.0886068 | + | 0.153471i | ||||
\(689\) | −45.6037 | + | 78.9880i | −1.73736 | + | 3.00920i | ||||
\(690\) | 3.23691 | − | 0.737742i | 0.123227 | − | 0.0280853i | ||||
\(691\) | −16.5539 | + | 9.55742i | −0.629741 | + | 0.363581i | −0.780652 | − | 0.624966i | \(-0.785113\pi\) |
0.150911 | + | 0.988547i | \(0.451779\pi\) | |||||||
\(692\) | 0.247556 | 0.00941068 | ||||||||
\(693\) | 38.8232 | + | 6.30392i | 1.47477 | + | 0.239466i | ||||
\(694\) | −31.9093 | −1.21126 | ||||||||
\(695\) | 6.27582 | − | 3.62334i | 0.238055 | − | 0.137441i | ||||
\(696\) | 1.35145 | − | 0.308016i | 0.0512266 | − | 0.0116753i | ||||
\(697\) | 13.5156 | − | 23.4096i | 0.511939 | − | 0.886704i | ||||
\(698\) | 0.821763 | + | 1.42333i | 0.0311042 | + | 0.0538740i | ||||
\(699\) | 23.6686 | − | 21.9475i | 0.895227 | − | 0.830130i | ||||
\(700\) | 1.12227 | + | 2.39594i | 0.0424177 | + | 0.0905579i | ||||
\(701\) | 36.3536i | 1.37306i | 0.727103 | + | 0.686528i | \(0.240866\pi\) | ||||
−0.727103 | + | 0.686528i | \(0.759134\pi\) | |||||||
\(702\) | 30.8254 | + | 12.1314i | 1.16343 | + | 0.457871i | ||||
\(703\) | 21.2336 | + | 12.2592i | 0.800842 | + | 0.462366i | ||||
\(704\) | −4.29143 | − | 2.47766i | −0.161740 | − | 0.0933804i | ||||
\(705\) | −0.310604 | + | 1.00584i | −0.0116980 | + | 0.0378821i | ||||
\(706\) | − | 14.6008i | − | 0.549507i | ||||||
\(707\) | −1.73849 | + | 2.49194i | −0.0653827 | + | 0.0937189i | ||||
\(708\) | 2.06252 | + | 2.22426i | 0.0775143 | + | 0.0835928i | ||||
\(709\) | −2.54606 | − | 4.40991i | −0.0956193 | − | 0.165618i | 0.814248 | − | 0.580518i | \(-0.197150\pi\) |
−0.909867 | + | 0.414900i | \(0.863816\pi\) | |||||||
\(710\) | −1.24379 | + | 2.15432i | −0.0466788 | + | 0.0808500i | ||||
\(711\) | −6.61058 | − | 4.51307i | −0.247916 | − | 0.169253i | ||||
\(712\) | −1.63241 | + | 0.942474i | −0.0611773 | + | 0.0353207i | ||||
\(713\) | −9.65357 | −0.361529 | ||||||||
\(714\) | −2.29568 | − | 16.4642i | −0.0859136 | − | 0.616158i | ||||
\(715\) | 31.5913 | 1.18145 | ||||||||
\(716\) | −16.9709 | + | 9.79815i | −0.634232 | + | 0.366174i | ||||
\(717\) | 9.54778 | + | 41.8918i | 0.356568 | + | 1.56448i | ||||
\(718\) | 0.253000 | − | 0.438209i | 0.00944189 | − | 0.0163538i | ||||
\(719\) | −20.5822 | − | 35.6494i | −0.767587 | − | 1.32950i | −0.938868 | − | 0.344278i | \(-0.888124\pi\) |
0.171281 | − | 0.985222i | \(-0.445209\pi\) | |||||||
\(720\) | 0.226058 | − | 2.99147i | 0.00842469 | − | 0.111486i | ||||
\(721\) | −17.4511 | + | 8.17418i | −0.649914 | + | 0.304422i | ||||
\(722\) | 1.30035i | 0.0483938i | ||||||||
\(723\) | 36.9655 | + | 11.4150i | 1.37476 | + | 0.424528i | ||||
\(724\) | 12.8261 | + | 7.40517i | 0.476679 | + | 0.275211i | ||||
\(725\) | 0.693053 | + | 0.400134i | 0.0257393 | + | 0.0148606i | ||||
\(726\) | −22.4331 | − | 6.92736i | −0.832570 | − | 0.257098i | ||||
\(727\) | 46.1288i | 1.71082i | 0.517948 | + | 0.855412i | \(0.326696\pi\) | ||||
−0.517948 | + | 0.855412i | \(0.673304\pi\) | |||||||
\(728\) | −16.8056 | − | 1.44117i | −0.622857 | − | 0.0534134i | ||||
\(729\) | 6.05736 | − | 26.3118i | 0.224347 | − | 0.974509i | ||||
\(730\) | 7.54666 | + | 13.0712i | 0.279314 | + | 0.483787i | ||||
\(731\) | 8.43091 | − | 14.6028i | 0.311828 | − | 0.540103i | ||||
\(732\) | 1.31751 | + | 5.78070i | 0.0486965 | + | 0.213661i | ||||
\(733\) | −8.65789 | + | 4.99864i | −0.319787 | + | 0.184629i | −0.651297 | − | 0.758823i | \(-0.725775\pi\) |
0.331511 | + | 0.943451i | \(0.392442\pi\) | |||||||
\(734\) | −1.35732 | −0.0500996 | ||||||||
\(735\) | −6.60985 | − | 10.1641i | −0.243808 | − | 0.374910i | ||||
\(736\) | 1.91676 | 0.0706526 | ||||||||
\(737\) | −34.2583 | + | 19.7790i | −1.26192 | + | 0.728570i | ||||
\(738\) | −12.6045 | + | 18.4626i | −0.463977 | + | 0.679618i | ||||
\(739\) | −0.418026 | + | 0.724042i | −0.0153773 | + | 0.0266343i | −0.873612 | − | 0.486624i | \(-0.838228\pi\) |
0.858234 | + | 0.513258i | \(0.171562\pi\) | |||||||
\(740\) | −2.91394 | − | 5.04710i | −0.107119 | − | 0.185535i | ||||
\(741\) | −31.5873 | − | 34.0643i | −1.16039 | − | 1.25138i | ||||
\(742\) | −37.7131 | − | 3.23411i | −1.38449 | − | 0.118728i | ||||
\(743\) | − | 53.3336i | − | 1.95662i | −0.207146 | − | 0.978310i | \(-0.566418\pi\) | ||
0.207146 | − | 0.978310i | \(-0.433582\pi\) | |||||||
\(744\) | −2.57384 | + | 8.33496i | −0.0943617 | + | 0.305574i | ||||
\(745\) | 5.70973 | + | 3.29651i | 0.209188 | + | 0.120775i | ||||
\(746\) | 29.5397 | + | 17.0548i | 1.08153 | + | 0.624419i | ||||
\(747\) | −19.6619 | + | 9.45353i | −0.719390 | + | 0.345887i | ||||
\(748\) | 17.9757i | 0.657255i | ||||||||
\(749\) | 6.43637 | − | 3.01482i | 0.235180 | − | 0.110159i | ||||
\(750\) | 1.27005 | − | 1.17770i | 0.0463757 | − | 0.0430034i | ||||
\(751\) | −16.8660 | − | 29.2127i | −0.615448 | − | 1.06599i | −0.990306 | − | 0.138905i | \(-0.955642\pi\) |
0.374858 | − | 0.927082i | \(-0.377691\pi\) | |||||||
\(752\) | −0.303890 | + | 0.526352i | −0.0110817 | + | 0.0191941i | ||||
\(753\) | −4.59519 | + | 1.04731i | −0.167458 | + | 0.0381662i | ||||
\(754\) | −4.41837 | + | 2.55095i | −0.160908 | + | 0.0929001i | ||||
\(755\) | −11.7743 | −0.428512 | ||||||||
\(756\) | 0.867138 | + | 13.7204i | 0.0315375 | + | 0.499004i | ||||
\(757\) | 37.1033 | 1.34854 | 0.674272 | − | 0.738483i | \(-0.264458\pi\) | ||||
0.674272 | + | 0.738483i | \(0.264458\pi\) | |||||||
\(758\) | −1.33326 | + | 0.769757i | −0.0484261 | + | 0.0279588i | ||||
\(759\) | 16.0400 | − | 3.65575i | 0.582213 | − | 0.132695i | ||||
\(760\) | −2.10355 | + | 3.64345i | −0.0763037 | + | 0.132162i | ||||
\(761\) | −8.95519 | − | 15.5108i | −0.324625 | − | 0.562268i | 0.656811 | − | 0.754055i | \(-0.271905\pi\) |
−0.981436 | + | 0.191787i | \(0.938572\pi\) | |||||||
\(762\) | −10.2452 | + | 9.50024i | −0.371146 | + | 0.344157i | ||||
\(763\) | −13.6598 | + | 19.5798i | −0.494517 | + | 0.708835i | ||||
\(764\) | 0.535503i | 0.0193738i | ||||||||
\(765\) | −9.80787 | + | 4.71568i | −0.354604 | + | 0.170496i | ||||
\(766\) | 28.1685 | + | 16.2631i | 1.01777 | + | 0.587608i | ||||
\(767\) | −9.66922 | − | 5.58252i | −0.349135 | − | 0.201573i | ||||
\(768\) | 0.511048 | − | 1.65494i | 0.0184408 | − | 0.0597175i | ||||
\(769\) | 0.619084i | 0.0223247i | 0.999938 | + | 0.0111624i | \(0.00355317\pi\) | ||||
−0.999938 | + | 0.0111624i | \(0.996447\pi\) | |||||||
\(770\) | 5.56119 | + | 11.8726i | 0.200411 | + | 0.427860i | ||||
\(771\) | −13.5480 | − | 14.6104i | −0.487918 | − | 0.526180i | ||||
\(772\) | −2.76772 | − | 4.79383i | −0.0996125 | − | 0.172534i | ||||
\(773\) | 24.4683 | − | 42.3803i | 0.880062 | − | 1.52431i | 0.0287914 | − | 0.999585i | \(-0.490834\pi\) |
0.851271 | − | 0.524727i | \(-0.175833\pi\) | |||||||
\(774\) | −7.86258 | + | 11.5168i | −0.282615 | + | 0.413964i | ||||
\(775\) | −4.36166 | + | 2.51820i | −0.156675 | + | 0.0904566i | ||||
\(776\) | −17.6562 | −0.633820 | ||||||||
\(777\) | 16.4195 | + | 21.0630i | 0.589045 | + | 0.755632i | ||||
\(778\) | −7.10169 | −0.254608 | ||||||||
\(779\) | 27.1496 | − | 15.6749i | 0.972737 | − | 0.561610i | ||||
\(780\) | 2.45377 | + | 10.7661i | 0.0878589 | + | 0.385490i | ||||
\(781\) | −6.16340 | + | 10.6753i | −0.220544 | + | 0.381993i | ||||
\(782\) | −3.47656 | − | 6.02159i | −0.124322 | − | 0.215331i | ||||
\(783\) | 2.58962 | + | 3.25353i | 0.0925456 | + | 0.116272i | ||||
\(784\) | −2.41676 | − | 6.56957i | −0.0863128 | − | 0.234628i | ||||
\(785\) | 1.54479i | 0.0551360i | ||||||||
\(786\) | 5.59869 | + | 1.72888i | 0.199699 | + | 0.0616672i | ||||
\(787\) | −0.0582062 | − | 0.0336053i | −0.00207483 | − | 0.00119790i | 0.498962 | − | 0.866624i | \(-0.333715\pi\) |
−0.501037 | + | 0.865426i | \(0.667048\pi\) | |||||||
\(788\) | −0.577166 | − | 0.333227i | −0.0205607 | − | 0.0118707i | ||||
\(789\) | −21.1593 | − | 6.53402i | −0.753292 | − | 0.232617i | ||||
\(790\) | − | 2.66807i | − | 0.0949258i | ||||||
\(791\) | −2.80916 | + | 32.7578i | −0.0998822 | + | 1.16473i | ||||
\(792\) | 1.12019 | − | 14.8237i | 0.0398042 | − | 0.526737i | ||||
\(793\) | −10.9114 | − | 18.8992i | −0.387477 | − | 0.671129i | ||||
\(794\) | 6.51194 | − | 11.2790i | 0.231100 | − | 0.400277i | ||||
\(795\) | 5.50644 | + | 24.1601i | 0.195293 | + | 0.856870i | ||||
\(796\) | −7.81326 | + | 4.51099i | −0.276934 | + | 0.159888i | ||||
\(797\) | 7.61311 | 0.269670 | 0.134835 | − | 0.990868i | \(-0.456950\pi\) | ||||
0.134835 | + | 0.990868i | \(0.456950\pi\) | |||||||
\(798\) | 7.24156 | − | 17.8676i | 0.256348 | − | 0.632508i | ||||
\(799\) | 2.20475 | 0.0779984 | ||||||||
\(800\) | 0.866025 | − | 0.500000i | 0.0306186 | − | 0.0176777i | ||||
\(801\) | −4.67026 | − | 3.18840i | −0.165016 | − | 0.112657i | ||||
\(802\) | 11.7015 | − | 20.2676i | 0.413194 | − | 0.715673i | ||||
\(803\) | 37.3961 | + | 64.7720i | 1.31968 | + | 2.28575i | ||||
\(804\) | −9.40149 | − | 10.1387i | −0.331565 | − | 0.357566i | ||||
\(805\) | −4.15913 | − | 2.90161i | −0.146590 | − | 0.102268i | ||||
\(806\) | − | 32.1083i | − | 1.13097i | ||||||
\(807\) | 5.97492 | − | 19.3488i | 0.210327 | − | 0.681108i | ||||
\(808\) | 0.994562 | + | 0.574210i | 0.0349886 | + | 0.0202007i | ||||
\(809\) | −16.9690 | − | 9.79703i | −0.596597 | − | 0.344445i | 0.171105 | − | 0.985253i | \(-0.445266\pi\) |
−0.767702 | + | 0.640807i | \(0.778600\pi\) | |||||||
\(810\) | 8.38196 | − | 3.27761i | 0.294512 | − | 0.115163i | ||||
\(811\) | 38.1099i | 1.33822i | 0.743164 | + | 0.669110i | \(0.233324\pi\) | ||||
−0.743164 | + | 0.669110i | \(0.766676\pi\) | |||||||
\(812\) | −1.73649 | − | 1.21145i | −0.0609387 | − | 0.0425137i | ||||
\(813\) | −28.0298 | + | 25.9916i | −0.983048 | + | 0.911564i | ||||
\(814\) | −14.4395 | − | 25.0100i | −0.506105 | − | 0.876600i | ||||
\(815\) | −1.68880 | + | 2.92508i | −0.0591559 | + | 0.102461i | ||||
\(816\) | −6.12600 | + | 1.39621i | −0.214453 | + | 0.0488771i | ||||
\(817\) | 16.9357 | − | 9.77786i | 0.592507 | − | 0.342084i | ||||
\(818\) | 13.1994 | 0.461508 | ||||||||
\(819\) | −17.9501 | − | 47.3111i | −0.627229 | − | 1.65318i | ||||
\(820\) | −7.45163 | −0.260222 | ||||||||
\(821\) | 32.4054 | − | 18.7093i | 1.13096 | − | 0.652958i | 0.186781 | − | 0.982402i | \(-0.440195\pi\) |
0.944175 | + | 0.329444i | \(0.106861\pi\) | |||||||
\(822\) | −25.0397 | + | 5.70692i | −0.873360 | + | 0.199052i | ||||
\(823\) | −17.1932 | + | 29.7795i | −0.599318 | + | 1.03805i | 0.393604 | + | 0.919280i | \(0.371228\pi\) |
−0.992922 | + | 0.118768i | \(0.962105\pi\) | |||||||
\(824\) | 3.64182 | + | 6.30781i | 0.126869 | + | 0.219743i | ||||
\(825\) | 6.29351 | − | 5.83587i | 0.219112 | − | 0.203179i | ||||
\(826\) | 0.395899 | − | 4.61660i | 0.0137751 | − | 0.160632i | ||||
\(827\) | − | 4.15552i | − | 0.144502i | −0.997386 | − | 0.0722508i | \(-0.976982\pi\) | ||
0.997386 | − | 0.0722508i | \(-0.0230182\pi\) | |||||||
\(828\) | 2.49171 | + | 5.18237i | 0.0865931 | + | 0.180100i | ||||
\(829\) | −24.3399 | − | 14.0526i | −0.845359 | − | 0.488068i | 0.0137231 | − | 0.999906i | \(-0.495632\pi\) |
−0.859082 | + | 0.511837i | \(0.828965\pi\) | |||||||
\(830\) | −6.29787 | − | 3.63608i | −0.218602 | − | 0.126210i | ||||
\(831\) | −3.98952 | + | 12.9194i | −0.138395 | + | 0.448169i | ||||
\(832\) | 6.37523i | 0.221021i | ||||||||
\(833\) | −16.2552 | + | 19.5081i | −0.563208 | + | 0.675915i | ||||
\(834\) | 8.53440 | + | 9.20366i | 0.295522 | + | 0.318697i | ||||
\(835\) | 6.38423 | + | 11.0578i | 0.220935 | + | 0.382671i | ||||
\(836\) | −10.4238 | + | 18.0545i | −0.360513 | + | 0.624427i | ||||
\(837\) | −25.8813 | + | 3.87619i | −0.894588 | + | 0.133981i | ||||
\(838\) | 24.2047 | − | 13.9746i | 0.836138 | − | 0.482745i | ||||
\(839\) | −23.6646 | −0.816992 | −0.408496 | − | 0.912760i | \(-0.633947\pi\) | ||||
−0.408496 | + | 0.912760i | \(0.633947\pi\) | |||||||
\(840\) | −3.61418 | + | 2.81739i | −0.124701 | + | 0.0972094i | ||||
\(841\) | 28.3596 | 0.977916 | ||||||||
\(842\) | 21.3731 | − | 12.3398i | 0.736565 | − | 0.425256i | ||||
\(843\) | 8.88680 | + | 38.9917i | 0.306078 | + | 1.34295i | ||||
\(844\) | 5.71931 | − | 9.90613i | 0.196867 | − | 0.340983i | ||||
\(845\) | −13.8218 | − | 23.9401i | −0.475484 | − | 0.823563i | ||||
\(846\) | −1.81815 | − | 0.137393i | −0.0625094 | − | 0.00472368i | ||||
\(847\) | 15.2126 | + | 32.4774i | 0.522709 | + | 1.11594i | ||||
\(848\) | 14.3065i | 0.491288i | ||||||||
\(849\) | −40.9606 | − | 12.6487i | −1.40576 | − | 0.434101i | ||||
\(850\) | −3.14155 | − | 1.81377i | −0.107754 | − | 0.0622119i | ||||
\(851\) | 9.67407 | + | 5.58533i | 0.331623 | + | 0.191462i | ||||
\(852\) | −4.11681 | − | 1.27128i | −0.141040 | − | 0.0435532i | ||||
\(853\) | 23.7742i | 0.814012i | 0.913426 | + | 0.407006i | \(0.133427\pi\) | ||||
−0.913426 | + | 0.407006i | \(0.866573\pi\) | |||||||
\(854\) | 5.18188 | − | 7.42766i | 0.177320 | − | 0.254169i | ||||
\(855\) | −12.5854 | − | 0.951048i | −0.430412 | − | 0.0325252i | ||||
\(856\) | −1.34318 | − | 2.32646i | −0.0459091 | − | 0.0795168i | ||||
\(857\) | 11.1811 | − | 19.3662i | 0.381938 | − | 0.661535i | −0.609402 | − | 0.792862i | \(-0.708590\pi\) |
0.991339 | + | 0.131326i | \(0.0419236\pi\) | |||||||
\(858\) | 12.1592 | + | 53.3497i | 0.415108 | + | 1.82133i | ||||
\(859\) | −37.1729 | + | 21.4618i | −1.26832 | + | 0.732267i | −0.974671 | − | 0.223645i | \(-0.928204\pi\) |
−0.293653 | + | 0.955912i | \(0.594871\pi\) | |||||||
\(860\) | −4.64827 | −0.158505 | ||||||||
\(861\) | 33.8205 | − | 4.71573i | 1.15260 | − | 0.160712i | ||||
\(862\) | 3.34445 | 0.113912 | ||||||||
\(863\) | 20.3687 | − | 11.7599i | 0.693360 | − | 0.400312i | −0.111510 | − | 0.993763i | \(-0.535569\pi\) |
0.804870 | + | 0.593452i | \(0.202235\pi\) | |||||||
\(864\) | 5.13884 | − | 0.769634i | 0.174827 | − | 0.0261835i | ||||
\(865\) | −0.123778 | + | 0.214390i | −0.00420858 | + | 0.00728948i | ||||
\(866\) | −7.33780 | − | 12.7094i | −0.249348 | − | 0.431884i | ||||
\(867\) | −4.52342 | − | 4.87814i | −0.153623 | − | 0.165670i | ||||
\(868\) | 12.0669 | − | 5.65219i | 0.409578 | − | 0.191848i | ||||
\(869\) | − | 13.2212i | − | 0.448497i | ||||||
\(870\) | −0.408975 | + | 1.32440i | −0.0138656 | + | 0.0449013i | ||||
\(871\) | 44.0747 | + | 25.4466i | 1.49342 | + | 0.862224i | ||||
\(872\) | 7.81452 | + | 4.51172i | 0.264633 | + | 0.152786i | ||||
\(873\) | −22.9524 | − | 47.7373i | −0.776820 | − | 1.61566i | ||||
\(874\) | − | 8.06398i | − | 0.272768i | ||||||
\(875\) | −2.63608 | − | 0.226058i | −0.0891156 | − | 0.00764216i | ||||
\(876\) | −19.1693 | + | 17.7754i | −0.647670 | + | 0.600574i | ||||
\(877\) | −4.09356 | − | 7.09026i | −0.138230 | − | 0.239421i | 0.788597 | − | 0.614911i | \(-0.210808\pi\) |
−0.926827 | + | 0.375490i | \(0.877475\pi\) | |||||||
\(878\) | −3.29351 | + | 5.70453i | −0.111151 | + | 0.192518i | ||||
\(879\) | −42.7901 | + | 9.75251i | −1.44328 | + | 0.328944i | ||||
\(880\) | 4.29143 | − | 2.47766i | 0.144664 | − | 0.0835219i | ||||
\(881\) | −26.6496 | −0.897847 | −0.448923 | − | 0.893570i | \(-0.648192\pi\) | ||||
−0.448923 | + | 0.893570i | \(0.648192\pi\) | |||||||
\(882\) | 14.6206 | − | 15.0744i | 0.492301 | − | 0.507583i | ||||
\(883\) | −5.41249 | −0.182145 | −0.0910724 | − | 0.995844i | \(-0.529029\pi\) | ||||
−0.0910724 | + | 0.995844i | \(0.529029\pi\) | |||||||
\(884\) | 20.0281 | − | 11.5632i | 0.673618 | − | 0.388913i | ||||
\(885\) | −2.95753 | + | 0.674065i | −0.0994162 | + | 0.0226584i | ||||
\(886\) | −20.3605 | + | 35.2654i | −0.684025 | + | 1.18477i | ||||
\(887\) | 12.0499 | + | 20.8711i | 0.404597 | + | 0.700782i | 0.994274 | − | 0.106856i | \(-0.0340785\pi\) |
−0.589678 | + | 0.807639i | \(0.700745\pi\) | |||||||
\(888\) | 7.40171 | − | 6.86349i | 0.248385 | − | 0.230324i | ||||
\(889\) | 21.2647 | + | 1.82356i | 0.713195 | + | 0.0611604i | ||||
\(890\) | − | 1.88495i | − | 0.0631836i | ||||||
\(891\) | 41.5353 | − | 16.2416i | 1.39149 | − | 0.544114i | ||||
\(892\) | −4.53275 | − | 2.61699i | −0.151768 | − | 0.0876231i | ||||
\(893\) | 2.21441 | + | 1.27849i | 0.0741026 | + | 0.0427831i | ||||
\(894\) | −3.36935 | + | 10.9111i | −0.112688 | + | 0.364921i | ||||
\(895\) | − | 19.5963i | − | 0.655032i | ||||||
\(896\) | −2.39594 | + | 1.12227i | −0.0800427 | + | 0.0374923i | ||||
\(897\) | −14.3912 | − | 15.5197i | −0.480508 | − | 0.518189i | ||||
\(898\) | 9.17425 | + | 15.8903i | 0.306149 | + | 0.530265i | ||||
\(899\) | 2.01524 | − | 3.49050i | 0.0672120 | − | 0.116415i | ||||
\(900\) | 2.47766 | + | 1.69151i | 0.0825887 | + | 0.0563836i | ||||
\(901\) | 44.9446 | − | 25.9488i | 1.49732 | − | 0.864480i | ||||
\(902\) | −36.9252 | −1.22948 | ||||||||
\(903\) | 21.0969 | − | 2.94164i | 0.702062 | − | 0.0978916i | ||||
\(904\) | 12.4267 | 0.413306 | ||||||||
\(905\) | −12.8261 | + | 7.40517i | −0.426355 | + | 0.246156i | ||||
\(906\) | −4.53183 | − | 19.8839i | −0.150560 | − | 0.660597i | ||||
\(907\) | 10.8290 | − | 18.7564i | 0.359572 | − | 0.622797i | −0.628317 | − | 0.777957i | \(-0.716256\pi\) |
0.987889 | + | 0.155160i | \(0.0495893\pi\) | |||||||
\(908\) | 6.73117 | + | 11.6587i | 0.223382 | + | 0.386908i | ||||
\(909\) | −0.259610 | + | 3.43547i | −0.00861071 | + | 0.113947i | ||||
\(910\) | 9.65089 | − | 13.8335i | 0.319924 | − | 0.458576i | ||||
\(911\) | 47.4302i | 1.57143i | 0.618587 | + | 0.785716i | \(0.287705\pi\) | ||||
−0.618587 | + | 0.785716i | \(0.712295\pi\) | |||||||
\(912\) | −6.96250 | − | 2.15003i | −0.230551 | − | 0.0711945i | ||||
\(913\) | −31.2080 | − | 18.0179i | −1.03283 | − | 0.596306i | ||||
\(914\) | 7.48533 | + | 4.32166i | 0.247593 | + | 0.142948i | ||||
\(915\) | −5.66498 | − | 1.74935i | −0.187279 | − | 0.0578318i | ||||
\(916\) | − | 16.5216i | − | 0.545890i | ||||||
\(917\) | −3.79664 | − | 8.10549i | −0.125376 | − | 0.267667i | ||||
\(918\) | −11.7385 | − | 14.7480i | −0.387429 | − | 0.486755i | ||||
\(919\) | −5.32208 | − | 9.21812i | −0.175559 | − | 0.304078i | 0.764795 | − | 0.644273i | \(-0.222840\pi\) |
−0.940355 | + | 0.340196i | \(0.889507\pi\) | |||||||
\(920\) | −0.958379 | + | 1.65996i | −0.0315968 | + | 0.0547273i | ||||
\(921\) | 5.05732 | + | 22.1895i | 0.166644 | + | 0.731169i | ||||
\(922\) | −21.4657 | + | 12.3932i | −0.706935 | + | 0.408149i | ||||
\(923\) | 15.8590 | 0.522004 | ||||||||
\(924\) | −17.9094 | + | 13.9611i | −0.589177 | + | 0.459286i | ||||
\(925\) | 5.82789 | 0.191620 | ||||||||
\(926\) | −15.5709 | + | 8.98986i | −0.511691 | + | 0.295425i | ||||
\(927\) | −12.3203 | + | 18.0464i | −0.404653 | + | 0.592721i | ||||
\(928\) | −0.400134 | + | 0.693053i | −0.0131351 | + | 0.0227506i | ||||
\(929\) | −17.1983 | − | 29.7883i | −0.564257 | − | 0.977322i | −0.997118 | − | 0.0758612i | \(-0.975829\pi\) |
0.432861 | − | 0.901460i | \(-0.357504\pi\) | |||||||
\(930\) | −5.93136 | − | 6.39649i | −0.194497 | − | 0.209749i | ||||
\(931\) | −27.6388 | + | 10.1675i | −0.905826 | + | 0.333227i | ||||
\(932\) | 18.6359i | 0.610440i | ||||||||
\(933\) | −3.88736 | + | 12.5885i | −0.127266 | + | 0.412131i | ||||
\(934\) | −1.10282 | − | 0.636712i | −0.0360853 | − | 0.0208339i | ||||
\(935\) | −15.5674 | − | 8.98783i | −0.509108 | − | 0.293933i | ||||
\(936\) | −17.2368 | + | 8.28757i | −0.563404 | + | 0.270888i | ||||
\(937\) | − | 40.0917i | − | 1.30974i | −0.755742 | − | 0.654870i | \(-0.772723\pi\) | ||
0.755742 | − | 0.654870i | \(-0.227277\pi\) | |||||||
\(938\) | −1.80461 | + | 21.0436i | −0.0589226 | + | 0.687099i | ||||
\(939\) | −15.7809 | + | 14.6334i | −0.514992 | + | 0.477543i | ||||
\(940\) | −0.303890 | − | 0.526352i | −0.00991179 | − | 0.0171677i | ||||
\(941\) | 13.6315 | − | 23.6104i | 0.444374 | − | 0.769678i | −0.553635 | − | 0.832760i | \(-0.686760\pi\) |
0.998008 | + | 0.0630819i | \(0.0200929\pi\) | |||||||
\(942\) | −2.60876 | + | 0.594576i | −0.0849980 | + | 0.0193723i | ||||
\(943\) | 12.3694 | − | 7.14148i | 0.402803 | − | 0.232559i | ||||
\(944\) | −1.75132 | −0.0570005 | ||||||||
\(945\) | −12.3157 | − | 6.10921i | −0.400631 | − | 0.198733i | ||||
\(946\) | −23.0337 | −0.748889 | ||||||||
\(947\) | −19.6642 | + | 11.3531i | −0.638999 | + | 0.368926i | −0.784229 | − | 0.620472i | \(-0.786941\pi\) |
0.145230 | + | 0.989398i | \(0.453608\pi\) | |||||||
\(948\) | 4.50570 | − | 1.02692i | 0.146338 | − | 0.0333527i | ||||
\(949\) | 48.1117 | − | 83.3319i | 1.56177 | − | 2.70507i | ||||
\(950\) | −2.10355 | − | 3.64345i | −0.0682481 | − | 0.118209i | ||||
\(951\) | −35.2258 | + | 32.6644i | −1.14228 | + | 1.05921i | ||||
\(952\) | 7.87134 | + | 5.49142i | 0.255112 | + | 0.177978i | ||||
\(953\) | − | 38.7288i | − | 1.25455i | −0.778799 | − | 0.627274i | \(-0.784171\pi\) | ||
0.778799 | − | 0.627274i | \(-0.215829\pi\) | |||||||
\(954\) | −38.6808 | + | 18.5980i | −1.25234 | + | 0.602131i | ||||
\(955\) | −0.463759 | − | 0.267752i | −0.0150069 | − | 0.00866424i | ||||
\(956\) | −21.4831 | − | 12.4032i | −0.694812 | − | 0.401150i | ||||
\(957\) | −2.02660 | + | 6.56281i | −0.0655108 | + | 0.212146i | ||||
\(958\) | − | 14.2267i | − | 0.459643i | ||||||
\(959\) | 32.1737 | + | 22.4459i | 1.03894 | + | 0.724815i | ||||
\(960\) | 1.17770 | + | 1.27005i | 0.0380100 | + | 0.0409907i | ||||
\(961\) | −2.81730 | − | 4.87970i | −0.0908805 | − | 0.157410i | ||||
\(962\) | −18.5771 | + | 32.1764i | −0.598949 | + | 1.03741i | ||||
\(963\) | 4.54401 | − | 6.65590i | 0.146429 | − | 0.214484i | ||||
\(964\) | −19.3439 | + | 11.1682i | −0.623025 | + | 0.359704i | ||||
\(965\) | 5.53544 | 0.178192 | ||||||||
\(966\) | 3.29926 | − | 8.14052i | 0.106152 | − | 0.261917i | ||||
\(967\) | 39.1631 | 1.25940 | 0.629700 | − | 0.776838i | \(-0.283178\pi\) | ||||
0.629700 | + | 0.776838i | \(0.283178\pi\) | |||||||
\(968\) | 11.7392 | − | 6.77761i | 0.377311 | − | 0.217840i | ||||
\(969\) | 5.87398 | + | 25.7727i | 0.188699 | + | 0.827938i | ||||
\(970\) | 8.82809 | − | 15.2907i | 0.283453 | − | 0.490955i | ||||
\(971\) | 13.4005 | + | 23.2104i | 0.430044 | + | 0.744858i | 0.996877 | − | 0.0789753i | \(-0.0251648\pi\) |
−0.566833 | + | 0.823833i | \(0.691831\pi\) | |||||||
\(972\) | 8.76118 | + | 12.8935i | 0.281015 | + | 0.413559i | ||||
\(973\) | 1.63817 | − | 19.1028i | 0.0525174 | − | 0.612408i | ||||
\(974\) | 39.8951i | 1.27832i | ||||||||
\(975\) | −10.5506 | − | 3.25805i | −0.337891 | − | 0.104341i | ||||
\(976\) | −2.96447 | − | 1.71154i | −0.0948903 | − | 0.0547849i | ||||
\(977\) | −24.1424 | − | 13.9386i | −0.772383 | − | 0.445936i | 0.0613410 | − | 0.998117i | \(-0.480462\pi\) |
−0.833724 | + | 0.552181i | \(0.813796\pi\) | |||||||
\(978\) | −5.58972 | − | 1.72611i | −0.178739 | − | 0.0551949i | ||||
\(979\) | − | 9.34052i | − | 0.298524i | ||||||
\(980\) | 6.89780 | + | 1.19181i | 0.220342 | + | 0.0380711i | ||||
\(981\) | −2.03982 | + | 26.9933i | −0.0651264 | + | 0.861831i | ||||
\(982\) | −7.98891 | − | 13.8372i | −0.254936 | − | 0.441563i | ||||
\(983\) | −10.9212 | + | 18.9161i | −0.348332 | + | 0.603329i | −0.985953 | − | 0.167021i | \(-0.946585\pi\) |
0.637621 | + | 0.770350i | \(0.279919\pi\) | |||||||
\(984\) | −2.86806 | − | 12.5839i | −0.0914304 | − | 0.401160i | ||||
\(985\) | 0.577166 | − | 0.333227i | 0.0183900 | − | 0.0106175i | ||||
\(986\) | 2.90301 | 0.0924507 | ||||||||
\(987\) | 1.71235 | + | 2.19662i | 0.0545048 | + | 0.0699193i | ||||
\(988\) | 26.8212 | 0.853297 | ||||||||
\(989\) | 7.71594 | − | 4.45480i | 0.245353 | − | 0.141654i | ||||
\(990\) | 12.2776 | + | 8.38196i | 0.390208 | + | 0.266396i | ||||
\(991\) | 29.4300 | − | 50.9743i | 0.934875 | − | 1.61925i | 0.160019 | − | 0.987114i | \(-0.448845\pi\) |
0.774856 | − | 0.632137i | \(-0.217822\pi\) | |||||||
\(992\) | −2.51820 | − | 4.36166i | −0.0799531 | − | 0.138483i | ||||
\(993\) | 13.8841 | + | 14.9729i | 0.440600 | + | 0.475151i | ||||
\(994\) | 2.79174 | + | 5.96011i | 0.0885485 | + | 0.189043i | ||||
\(995\) | − | 9.02198i | − | 0.286016i | ||||||
\(996\) | 3.71642 | − | 12.0350i | 0.117759 | − | 0.381343i | ||||
\(997\) | −10.4327 | − | 6.02334i | −0.330408 | − | 0.190761i | 0.325614 | − | 0.945503i | \(-0.394429\pi\) |
−0.656022 | + | 0.754742i | \(0.727762\pi\) | |||||||
\(998\) | 11.9566 | + | 6.90313i | 0.378479 | + | 0.218515i | ||||
\(999\) | 28.1789 | + | 11.0899i | 0.891541 | + | 0.350868i |
(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 | 210.2.r.a.101.4 | ✓ | 12 | |
3.2 | odd | 2 | 210.2.r.b.101.2 | yes | 12 | ||
5.2 | odd | 4 | 1050.2.u.g.899.5 | 12 | |||
5.3 | odd | 4 | 1050.2.u.f.899.2 | 12 | |||
5.4 | even | 2 | 1050.2.s.g.101.3 | 12 | |||
7.3 | odd | 6 | 1470.2.b.a.881.8 | 12 | |||
7.4 | even | 3 | 1470.2.b.b.881.11 | 12 | |||
7.5 | odd | 6 | 210.2.r.b.131.2 | yes | 12 | ||
15.2 | even | 4 | 1050.2.u.e.899.1 | 12 | |||
15.8 | even | 4 | 1050.2.u.h.899.6 | 12 | |||
15.14 | odd | 2 | 1050.2.s.f.101.5 | 12 | |||
21.5 | even | 6 | inner | 210.2.r.a.131.4 | yes | 12 | |
21.11 | odd | 6 | 1470.2.b.a.881.2 | 12 | |||
21.17 | even | 6 | 1470.2.b.b.881.5 | 12 | |||
35.12 | even | 12 | 1050.2.u.h.299.6 | 12 | |||
35.19 | odd | 6 | 1050.2.s.f.551.5 | 12 | |||
35.33 | even | 12 | 1050.2.u.e.299.1 | 12 | |||
105.47 | odd | 12 | 1050.2.u.f.299.2 | 12 | |||
105.68 | odd | 12 | 1050.2.u.g.299.5 | 12 | |||
105.89 | even | 6 | 1050.2.s.g.551.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.r.a.101.4 | ✓ | 12 | 1.1 | even | 1 | trivial | |
210.2.r.a.131.4 | yes | 12 | 21.5 | even | 6 | inner | |
210.2.r.b.101.2 | yes | 12 | 3.2 | odd | 2 | ||
210.2.r.b.131.2 | yes | 12 | 7.5 | odd | 6 | ||
1050.2.s.f.101.5 | 12 | 15.14 | odd | 2 | |||
1050.2.s.f.551.5 | 12 | 35.19 | odd | 6 | |||
1050.2.s.g.101.3 | 12 | 5.4 | even | 2 | |||
1050.2.s.g.551.3 | 12 | 105.89 | even | 6 | |||
1050.2.u.e.299.1 | 12 | 35.33 | even | 12 | |||
1050.2.u.e.899.1 | 12 | 15.2 | even | 4 | |||
1050.2.u.f.299.2 | 12 | 105.47 | odd | 12 | |||
1050.2.u.f.899.2 | 12 | 5.3 | odd | 4 | |||
1050.2.u.g.299.5 | 12 | 105.68 | odd | 12 | |||
1050.2.u.g.899.5 | 12 | 5.2 | odd | 4 | |||
1050.2.u.h.299.6 | 12 | 35.12 | even | 12 | |||
1050.2.u.h.899.6 | 12 | 15.8 | even | 4 | |||
1470.2.b.a.881.2 | 12 | 21.11 | odd | 6 | |||
1470.2.b.a.881.8 | 12 | 7.3 | odd | 6 | |||
1470.2.b.b.881.5 | 12 | 21.17 | even | 6 | |||
1470.2.b.b.881.11 | 12 | 7.4 | even | 3 |