Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(52,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.52");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.u (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: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.4 | ||
Character | \(\chi\) | \(=\) | 105.52 |
Dual form | 105.4.u.a.103.4 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17018 | + | 4.36716i | −0.413720 | + | 1.54402i | 0.373666 | + | 0.927564i | \(0.378101\pi\) |
−0.787386 | + | 0.616461i | \(0.788566\pi\) | |||||||
\(3\) | 2.89778 | − | 0.776457i | 0.557678 | − | 0.149429i | ||||
\(4\) | −10.7746 | − | 6.22070i | −1.34682 | − | 0.777588i | ||||
\(5\) | −6.73223 | − | 8.92620i | −0.602149 | − | 0.798384i | ||||
\(6\) | 13.5637i | 0.922890i | ||||||||
\(7\) | −1.57380 | − | 18.4533i | −0.0849771 | − | 0.996383i | ||||
\(8\) | 14.1991 | − | 14.1991i | 0.627517 | − | 0.627517i | ||||
\(9\) | 7.79423 | − | 4.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | 46.8601 | − | 18.9555i | 1.48184 | − | 0.599425i | ||||
\(11\) | 19.3043 | − | 33.4361i | 0.529134 | − | 0.916487i | −0.470288 | − | 0.882513i | \(-0.655850\pi\) |
0.999423 | − | 0.0339746i | \(-0.0108165\pi\) | |||||||
\(12\) | −36.0524 | − | 9.66022i | −0.867286 | − | 0.232389i | ||||
\(13\) | −34.4805 | − | 34.4805i | −0.735629 | − | 0.735629i | 0.236100 | − | 0.971729i | \(-0.424131\pi\) |
−0.971729 | + | 0.236100i | \(0.924131\pi\) | |||||||
\(14\) | 82.4300 | + | 14.7206i | 1.57360 | + | 0.281017i | ||||
\(15\) | −26.4393 | − | 20.6389i | −0.455107 | − | 0.355262i | ||||
\(16\) | −4.37136 | − | 7.57141i | −0.0683024 | − | 0.118303i | ||||
\(17\) | 20.7911 | + | 77.5933i | 0.296622 | + | 1.10701i | 0.939921 | + | 0.341393i | \(0.110899\pi\) |
−0.643299 | + | 0.765615i | \(0.722435\pi\) | |||||||
\(18\) | 10.5316 | + | 39.3044i | 0.137907 | + | 0.514675i | ||||
\(19\) | −41.7160 | − | 72.2543i | −0.503701 | − | 0.872435i | −0.999991 | − | 0.00427834i | \(-0.998638\pi\) |
0.496290 | − | 0.868157i | \(-0.334695\pi\) | |||||||
\(20\) | 17.0097 | + | 138.055i | 0.190174 | + | 1.54350i | ||||
\(21\) | −18.8887 | − | 52.2515i | −0.196279 | − | 0.542962i | ||||
\(22\) | 123.431 | + | 123.431i | 1.19617 | + | 1.19617i | ||||
\(23\) | 50.8102 | + | 13.6146i | 0.460638 | + | 0.123427i | 0.481673 | − | 0.876351i | \(-0.340029\pi\) |
−0.0210349 | + | 0.999779i | \(0.506696\pi\) | |||||||
\(24\) | 30.1208 | − | 52.1708i | 0.256183 | − | 0.443722i | ||||
\(25\) | −34.3541 | + | 120.186i | −0.274833 | + | 0.961492i | ||||
\(26\) | 190.930 | − | 110.234i | 1.44017 | − | 0.831485i | ||||
\(27\) | 19.0919 | − | 19.0919i | 0.136083 | − | 0.136083i | ||||
\(28\) | −97.8353 | + | 208.616i | −0.660326 | + | 1.40803i | ||||
\(29\) | 83.4317i | 0.534237i | 0.963664 | + | 0.267119i | \(0.0860716\pi\) | ||||
−0.963664 | + | 0.267119i | \(0.913928\pi\) | |||||||
\(30\) | 121.072 | − | 91.3136i | 0.736820 | − | 0.555717i | ||||
\(31\) | −81.2237 | − | 46.8945i | −0.470587 | − | 0.271694i | 0.245898 | − | 0.969296i | \(-0.420917\pi\) |
−0.716485 | + | 0.697602i | \(0.754250\pi\) | |||||||
\(32\) | 193.351 | − | 51.8083i | 1.06813 | − | 0.286203i | ||||
\(33\) | 29.9780 | − | 111.879i | 0.158136 | − | 0.590173i | ||||
\(34\) | −363.192 | −1.83197 | ||||||||
\(35\) | −154.122 | + | 138.280i | −0.744327 | + | 0.667815i | ||||
\(36\) | −111.973 | −0.518392 | ||||||||
\(37\) | 42.2257 | − | 157.588i | 0.187618 | − | 0.700199i | −0.806437 | − | 0.591320i | \(-0.798607\pi\) |
0.994055 | − | 0.108879i | \(-0.0347262\pi\) | |||||||
\(38\) | 364.361 | − | 97.6303i | 1.55545 | − | 0.416782i | ||||
\(39\) | −126.690 | − | 73.1443i | −0.520168 | − | 0.300319i | ||||
\(40\) | −222.336 | − | 31.1524i | −0.878858 | − | 0.123141i | ||||
\(41\) | − | 412.940i | − | 1.57294i | −0.617630 | − | 0.786469i | \(-0.711907\pi\) | ||
0.617630 | − | 0.786469i | \(-0.288093\pi\) | |||||||
\(42\) | 250.294 | − | 21.3465i | 0.919551 | − | 0.0784245i | ||||
\(43\) | 31.4152 | − | 31.4152i | 0.111413 | − | 0.111413i | −0.649202 | − | 0.760616i | \(-0.724897\pi\) |
0.760616 | + | 0.649202i | \(0.224897\pi\) | |||||||
\(44\) | −415.992 | + | 240.173i | −1.42530 | + | 0.822897i | ||||
\(45\) | −92.6405 | − | 39.2778i | −0.306889 | − | 0.130115i | ||||
\(46\) | −118.914 | + | 205.965i | −0.381150 | + | 0.660171i | ||||
\(47\) | −406.470 | − | 108.913i | −1.26148 | − | 0.338013i | −0.434721 | − | 0.900565i | \(-0.643153\pi\) |
−0.826762 | + | 0.562552i | \(0.809820\pi\) | |||||||
\(48\) | −18.5461 | − | 18.5461i | −0.0557687 | − | 0.0557687i | ||||
\(49\) | −338.046 | + | 58.0835i | −0.985558 | + | 0.169340i | ||||
\(50\) | −484.673 | − | 290.669i | −1.37086 | − | 0.822137i | ||||
\(51\) | 120.496 | + | 208.705i | 0.330839 | + | 0.573030i | ||||
\(52\) | 157.020 | + | 586.006i | 0.418745 | + | 1.56278i | ||||
\(53\) | 146.952 | + | 548.432i | 0.380856 | + | 1.42137i | 0.844596 | + | 0.535404i | \(0.179840\pi\) |
−0.463740 | + | 0.885971i | \(0.653493\pi\) | |||||||
\(54\) | 61.0364 | + | 105.718i | 0.153815 | + | 0.266415i | ||||
\(55\) | −428.419 | + | 52.7851i | −1.05033 | + | 0.129410i | ||||
\(56\) | −284.366 | − | 239.673i | −0.678572 | − | 0.571923i | ||||
\(57\) | −176.986 | − | 176.986i | −0.411270 | − | 0.411270i | ||||
\(58\) | −364.360 | − | 97.6299i | −0.824876 | − | 0.221025i | ||||
\(59\) | 280.188 | − | 485.300i | 0.618261 | − | 1.07086i | −0.371542 | − | 0.928416i | \(-0.621171\pi\) |
0.989803 | − | 0.142443i | \(-0.0454959\pi\) | |||||||
\(60\) | 156.484 | + | 386.846i | 0.336700 | + | 0.832360i | ||||
\(61\) | 204.399 | − | 118.010i | 0.429025 | − | 0.247698i | −0.269906 | − | 0.962887i | \(-0.586993\pi\) |
0.698931 | + | 0.715189i | \(0.253659\pi\) | |||||||
\(62\) | 299.842 | − | 299.842i | 0.614193 | − | 0.614193i | ||||
\(63\) | −95.3063 | − | 136.747i | −0.190595 | − | 0.273468i | ||||
\(64\) | 835.080i | 1.63102i | ||||||||
\(65\) | −75.6493 | + | 539.911i | −0.144356 | + | 1.03027i | ||||
\(66\) | 453.515 | + | 261.837i | 0.845817 | + | 0.488332i | ||||
\(67\) | 956.795 | − | 256.372i | 1.74464 | − | 0.467476i | 0.761173 | − | 0.648548i | \(-0.224624\pi\) |
0.983470 | + | 0.181073i | \(0.0579569\pi\) | |||||||
\(68\) | 258.670 | − | 965.369i | 0.461299 | − | 1.72159i | ||||
\(69\) | 157.808 | 0.275331 | ||||||||
\(70\) | −423.539 | − | 834.889i | −0.723180 | − | 1.42555i | ||||
\(71\) | −738.029 | −1.23363 | −0.616816 | − | 0.787107i | \(-0.711578\pi\) | ||||
−0.616816 | + | 0.787107i | \(0.711578\pi\) | |||||||
\(72\) | 46.7751 | − | 174.567i | 0.0765624 | − | 0.285735i | ||||
\(73\) | 608.633 | − | 163.083i | 0.975824 | − | 0.261471i | 0.264539 | − | 0.964375i | \(-0.414780\pi\) |
0.711285 | + | 0.702904i | \(0.248114\pi\) | |||||||
\(74\) | 638.802 | + | 368.812i | 1.00350 | + | 0.579373i | ||||
\(75\) | −6.23097 | + | 374.948i | −0.00959321 | + | 0.577271i | ||||
\(76\) | 1038.01i | 1.56669i | ||||||||
\(77\) | −647.386 | − | 303.606i | −0.958137 | − | 0.449340i | ||||
\(78\) | 467.682 | − | 467.682i | 0.678904 | − | 0.678904i | ||||
\(79\) | −153.129 | + | 88.4091i | −0.218081 | + | 0.125909i | −0.605061 | − | 0.796179i | \(-0.706851\pi\) |
0.386981 | + | 0.922088i | \(0.373518\pi\) | |||||||
\(80\) | −38.1550 | + | 89.9921i | −0.0533232 | + | 0.125768i | ||||
\(81\) | 40.5000 | − | 70.1481i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 1803.38 | + | 483.213i | 2.42865 | + | 0.650756i | ||||
\(83\) | 712.405 | + | 712.405i | 0.942128 | + | 0.942128i | 0.998415 | − | 0.0562866i | \(-0.0179261\pi\) |
−0.0562866 | + | 0.998415i | \(0.517926\pi\) | |||||||
\(84\) | −121.523 | + | 680.488i | −0.157849 | + | 0.883897i | ||||
\(85\) | 552.643 | − | 707.961i | 0.705207 | − | 0.903402i | ||||
\(86\) | 100.434 | + | 173.957i | 0.125931 | + | 0.218119i | ||||
\(87\) | 64.7812 | + | 241.767i | 0.0798307 | + | 0.297932i | ||||
\(88\) | −200.658 | − | 748.866i | −0.243071 | − | 0.907152i | ||||
\(89\) | 489.207 | + | 847.331i | 0.582650 | + | 1.00918i | 0.995164 | + | 0.0982280i | \(0.0313174\pi\) |
−0.412514 | + | 0.910951i | \(0.635349\pi\) | |||||||
\(90\) | 279.938 | − | 358.614i | 0.327868 | − | 0.420013i | ||||
\(91\) | −582.013 | + | 690.544i | −0.670457 | + | 0.795480i | ||||
\(92\) | −462.766 | − | 462.766i | −0.524421 | − | 0.524421i | ||||
\(93\) | −271.780 | − | 72.8231i | −0.303035 | − | 0.0811979i | ||||
\(94\) | 951.283 | − | 1647.67i | 1.04380 | − | 1.80792i | ||||
\(95\) | −364.114 | + | 858.798i | −0.393235 | + | 0.927482i | ||||
\(96\) | 520.062 | − | 300.258i | 0.552902 | − | 0.319218i | ||||
\(97\) | −1266.78 | + | 1266.78i | −1.32600 | + | 1.32600i | −0.417164 | + | 0.908831i | \(0.636976\pi\) |
−0.908831 | + | 0.417164i | \(0.863024\pi\) | |||||||
\(98\) | 141.914 | − | 1544.27i | 0.146281 | − | 1.59178i | ||||
\(99\) | − | 347.478i | − | 0.352756i | ||||||
\(100\) | 1117.80 | − | 1081.25i | 1.11780 | − | 1.08125i | ||||
\(101\) | −332.434 | − | 191.931i | −0.327509 | − | 0.189088i | 0.327225 | − | 0.944946i | \(-0.393886\pi\) |
−0.654735 | + | 0.755859i | \(0.727220\pi\) | |||||||
\(102\) | −1052.45 | + | 282.003i | −1.02165 | + | 0.273749i | ||||
\(103\) | 154.776 | − | 577.631i | 0.148063 | − | 0.552579i | −0.851537 | − | 0.524295i | \(-0.824329\pi\) |
0.999600 | − | 0.0282845i | \(-0.00900442\pi\) | |||||||
\(104\) | −979.184 | −0.923240 | ||||||||
\(105\) | −339.244 | + | 520.373i | −0.315303 | + | 0.483650i | ||||
\(106\) | −2567.05 | −2.35221 | ||||||||
\(107\) | −440.222 | + | 1642.93i | −0.397737 | + | 1.48437i | 0.419331 | + | 0.907834i | \(0.362265\pi\) |
−0.817068 | + | 0.576541i | \(0.804402\pi\) | |||||||
\(108\) | −324.472 | + | 86.9419i | −0.289095 | + | 0.0774629i | ||||
\(109\) | −650.138 | − | 375.357i | −0.571302 | − | 0.329841i | 0.186367 | − | 0.982480i | \(-0.440329\pi\) |
−0.757669 | + | 0.652639i | \(0.773662\pi\) | |||||||
\(110\) | 270.805 | − | 1932.74i | 0.234729 | − | 1.67527i | ||||
\(111\) | − | 489.442i | − | 0.418521i | ||||||
\(112\) | −132.838 | + | 92.5817i | −0.112071 | + | 0.0781085i | ||||
\(113\) | 924.567 | − | 924.567i | 0.769698 | − | 0.769698i | −0.208355 | − | 0.978053i | \(-0.566811\pi\) |
0.978053 | + | 0.208355i | \(0.0668109\pi\) | |||||||
\(114\) | 980.032 | − | 565.822i | 0.805161 | − | 0.464860i | ||||
\(115\) | −220.540 | − | 545.199i | −0.178830 | − | 0.442087i | ||||
\(116\) | 519.004 | − | 898.941i | 0.415416 | − | 0.719522i | ||||
\(117\) | −423.912 | − | 113.587i | −0.334963 | − | 0.0897530i | ||||
\(118\) | 1791.51 | + | 1791.51i | 1.39765 | + | 1.39765i | ||||
\(119\) | 1399.13 | − | 505.779i | 1.07780 | − | 0.389619i | ||||
\(120\) | −668.467 | + | 82.3613i | −0.508520 | + | 0.0626544i | ||||
\(121\) | −79.8148 | − | 138.243i | −0.0599660 | − | 0.103864i | ||||
\(122\) | 276.184 | + | 1030.73i | 0.204955 | + | 0.764903i | ||||
\(123\) | −320.630 | − | 1196.61i | −0.235043 | − | 0.877192i | ||||
\(124\) | 583.433 | + | 1010.54i | 0.422531 | + | 0.731846i | ||||
\(125\) | 1304.09 | − | 502.471i | 0.933130 | − | 0.359539i | ||||
\(126\) | 708.721 | − | 256.200i | 0.501094 | − | 0.181143i | ||||
\(127\) | 355.909 | + | 355.909i | 0.248676 | + | 0.248676i | 0.820427 | − | 0.571751i | \(-0.193736\pi\) |
−0.571751 | + | 0.820427i | \(0.693736\pi\) | |||||||
\(128\) | −2100.12 | − | 562.724i | −1.45020 | − | 0.388580i | ||||
\(129\) | 66.6417 | − | 115.427i | 0.0454843 | − | 0.0787811i | ||||
\(130\) | −2269.36 | − | 962.164i | −1.53104 | − | 0.649134i | ||||
\(131\) | −197.652 | + | 114.114i | −0.131824 | + | 0.0761085i | −0.564462 | − | 0.825459i | \(-0.690916\pi\) |
0.432638 | + | 0.901568i | \(0.357583\pi\) | |||||||
\(132\) | −1018.97 | + | 1018.97i | −0.671892 | + | 0.671892i | ||||
\(133\) | −1267.67 | + | 883.511i | −0.826476 | + | 0.576016i | ||||
\(134\) | 4478.48i | 2.88718i | ||||||||
\(135\) | −298.949 | − | 41.8870i | −0.190588 | − | 0.0267042i | ||||
\(136\) | 1396.97 | + | 806.540i | 0.880802 | + | 0.508531i | ||||
\(137\) | 846.689 | − | 226.870i | 0.528011 | − | 0.141480i | 0.0150415 | − | 0.999887i | \(-0.495212\pi\) |
0.512970 | + | 0.858407i | \(0.328545\pi\) | |||||||
\(138\) | −184.663 | + | 689.172i | −0.113910 | + | 0.425118i | ||||
\(139\) | 1381.39 | 0.842933 | 0.421467 | − | 0.906844i | \(-0.361515\pi\) | ||||
0.421467 | + | 0.906844i | \(0.361515\pi\) | |||||||
\(140\) | 2520.80 | − | 531.155i | 1.52176 | − | 0.320649i | ||||
\(141\) | −1262.43 | −0.754010 | ||||||||
\(142\) | 863.624 | − | 3223.09i | 0.510378 | − | 1.90476i | ||||
\(143\) | −1818.52 | + | 487.270i | −1.06344 | + | 0.284948i | ||||
\(144\) | −68.1427 | − | 39.3422i | −0.0394344 | − | 0.0227675i | ||||
\(145\) | 744.728 | − | 561.682i | 0.426526 | − | 0.321691i | ||||
\(146\) | 2848.84i | 1.61487i | ||||||||
\(147\) | −934.484 | + | 430.791i | −0.524319 | + | 0.241708i | ||||
\(148\) | −1435.27 | + | 1435.27i | −0.797154 | + | 0.797154i | ||||
\(149\) | −1185.88 | + | 684.668i | −0.652021 | + | 0.376444i | −0.789230 | − | 0.614098i | \(-0.789520\pi\) |
0.137209 | + | 0.990542i | \(0.456187\pi\) | |||||||
\(150\) | −1630.17 | − | 465.967i | −0.887351 | − | 0.253641i | ||||
\(151\) | 1505.27 | − | 2607.20i | 0.811238 | − | 1.40511i | −0.100759 | − | 0.994911i | \(-0.532127\pi\) |
0.911998 | − | 0.410195i | \(-0.134539\pi\) | |||||||
\(152\) | −1618.27 | − | 433.615i | −0.863549 | − | 0.231387i | ||||
\(153\) | 511.220 | + | 511.220i | 0.270129 | + | 0.270129i | ||||
\(154\) | 2083.45 | − | 2471.97i | 1.09019 | − | 1.29349i | ||||
\(155\) | 128.227 | + | 1040.72i | 0.0664478 | + | 0.539309i | ||||
\(156\) | 910.017 | + | 1576.20i | 0.467049 | + | 0.808953i | ||||
\(157\) | 193.602 | + | 722.533i | 0.0984149 | + | 0.367289i | 0.997515 | − | 0.0704536i | \(-0.0224447\pi\) |
−0.899100 | + | 0.437743i | \(0.855778\pi\) | |||||||
\(158\) | −206.909 | − | 772.194i | −0.104182 | − | 0.388813i | ||||
\(159\) | 851.667 | + | 1475.13i | 0.424790 | + | 0.735758i | ||||
\(160\) | −1764.14 | − | 1377.11i | −0.871671 | − | 0.680437i | ||||
\(161\) | 171.268 | − | 959.042i | 0.0838374 | − | 0.469460i | ||||
\(162\) | 258.956 | + | 258.956i | 0.125589 | + | 0.125589i | ||||
\(163\) | 2891.63 | + | 774.809i | 1.38951 | + | 0.372318i | 0.874566 | − | 0.484907i | \(-0.161147\pi\) |
0.514942 | + | 0.857225i | \(0.327813\pi\) | |||||||
\(164\) | −2568.78 | + | 4449.25i | −1.22310 | + | 2.11847i | ||||
\(165\) | −1200.48 | + | 485.608i | −0.566406 | + | 0.229118i | ||||
\(166\) | −3944.83 | + | 2277.55i | −1.84445 | + | 1.06489i | ||||
\(167\) | 187.527 | − | 187.527i | 0.0868940 | − | 0.0868940i | −0.662324 | − | 0.749218i | \(-0.730430\pi\) |
0.749218 | + | 0.662324i | \(0.230430\pi\) | |||||||
\(168\) | −1010.13 | − | 473.721i | −0.463886 | − | 0.217550i | ||||
\(169\) | 180.814i | 0.0823005i | ||||||||
\(170\) | 2445.09 | + | 3241.92i | 1.10312 | + | 1.46261i | ||||
\(171\) | −650.288 | − | 375.444i | −0.290812 | − | 0.167900i | ||||
\(172\) | −533.910 | + | 143.061i | −0.236687 | + | 0.0634202i | ||||
\(173\) | 432.171 | − | 1612.89i | 0.189927 | − | 0.708817i | −0.803595 | − | 0.595177i | \(-0.797082\pi\) |
0.993522 | − | 0.113641i | \(-0.0362512\pi\) | |||||||
\(174\) | −1131.64 | −0.493042 | ||||||||
\(175\) | 2271.90 | + | 444.797i | 0.981369 | + | 0.192134i | ||||
\(176\) | −337.545 | −0.144565 | ||||||||
\(177\) | 435.108 | − | 1623.85i | 0.184773 | − | 0.689581i | ||||
\(178\) | −4272.89 | + | 1144.92i | −1.79925 | + | 0.482108i | ||||
\(179\) | 1049.59 | + | 605.980i | 0.438267 | + | 0.253034i | 0.702862 | − | 0.711326i | \(-0.251905\pi\) |
−0.264595 | + | 0.964360i | \(0.585238\pi\) | |||||||
\(180\) | 753.826 | + | 999.490i | 0.312149 | + | 0.413876i | ||||
\(181\) | − | 3068.84i | − | 1.26025i | −0.776493 | − | 0.630126i | \(-0.783003\pi\) | ||
0.776493 | − | 0.630126i | \(-0.216997\pi\) | |||||||
\(182\) | −2334.66 | − | 3349.80i | −0.950859 | − | 1.36431i | ||||
\(183\) | 500.672 | − | 500.672i | 0.202245 | − | 0.202245i | ||||
\(184\) | 914.774 | − | 528.145i | 0.366511 | − | 0.211605i | ||||
\(185\) | −1690.94 | + | 684.006i | −0.672001 | + | 0.271833i | ||||
\(186\) | 636.061 | − | 1101.69i | 0.250743 | − | 0.434300i | ||||
\(187\) | 2995.77 | + | 802.715i | 1.17151 | + | 0.313906i | ||||
\(188\) | 3702.02 | + | 3702.02i | 1.43616 | + | 1.43616i | ||||
\(189\) | −382.354 | − | 322.261i | −0.147154 | − | 0.124027i | ||||
\(190\) | −3324.43 | − | 2595.09i | −1.26937 | − | 0.990883i | ||||
\(191\) | 188.360 | + | 326.249i | 0.0713574 | + | 0.123595i | 0.899496 | − | 0.436928i | \(-0.143934\pi\) |
−0.828139 | + | 0.560523i | \(0.810600\pi\) | |||||||
\(192\) | 648.404 | + | 2419.88i | 0.243721 | + | 0.909580i | ||||
\(193\) | −479.735 | − | 1790.39i | −0.178923 | − | 0.667748i | −0.995850 | − | 0.0910078i | \(-0.970991\pi\) |
0.816928 | − | 0.576740i | \(-0.195675\pi\) | |||||||
\(194\) | −4049.86 | − | 7014.56i | −1.49878 | − | 2.59596i | ||||
\(195\) | 200.003 | + | 1623.28i | 0.0734488 | + | 0.596131i | ||||
\(196\) | 4003.62 | + | 1477.06i | 1.45905 | + | 0.538287i | ||||
\(197\) | −1948.20 | − | 1948.20i | −0.704586 | − | 0.704586i | 0.260805 | − | 0.965391i | \(-0.416012\pi\) |
−0.965391 | + | 0.260805i | \(0.916012\pi\) | |||||||
\(198\) | 1517.49 | + | 406.611i | 0.544664 | + | 0.145942i | ||||
\(199\) | 2581.45 | − | 4471.20i | 0.919569 | − | 1.59274i | 0.119497 | − | 0.992835i | \(-0.461872\pi\) |
0.800071 | − | 0.599905i | \(-0.204795\pi\) | |||||||
\(200\) | 1218.74 | + | 2194.34i | 0.430890 | + | 0.775815i | ||||
\(201\) | 2573.52 | − | 1485.82i | 0.903094 | − | 0.521401i | ||||
\(202\) | 1227.20 | − | 1227.20i | 0.427453 | − | 0.427453i | ||||
\(203\) | 1539.59 | − | 131.305i | 0.532305 | − | 0.0453980i | ||||
\(204\) | − | 2998.27i | − | 1.02902i | ||||||
\(205\) | −3685.99 | + | 2780.01i | −1.25581 | + | 0.947143i | ||||
\(206\) | 2341.49 | + | 1351.86i | 0.791939 | + | 0.457226i | ||||
\(207\) | 457.292 | − | 122.531i | 0.153546 | − | 0.0411425i | ||||
\(208\) | −110.340 | + | 411.793i | −0.0367821 | + | 0.137273i | ||||
\(209\) | −3221.20 | −1.06610 | ||||||||
\(210\) | −1875.58 | − | 2090.46i | −0.616320 | − | 0.686932i | ||||
\(211\) | 1316.10 | 0.429403 | 0.214702 | − | 0.976680i | \(-0.431122\pi\) | ||||
0.214702 | + | 0.976680i | \(0.431122\pi\) | |||||||
\(212\) | 1828.29 | − | 6823.26i | 0.592298 | − | 2.21049i | ||||
\(213\) | −2138.64 | + | 573.048i | −0.687969 | + | 0.184341i | ||||
\(214\) | −6659.80 | − | 3845.04i | −2.12736 | − | 1.22823i | ||||
\(215\) | −491.913 | − | 68.9240i | −0.156038 | − | 0.0218631i | ||||
\(216\) | − | 542.175i | − | 0.170789i | ||||||
\(217\) | −737.527 | + | 1572.64i | −0.230722 | + | 0.491973i | ||||
\(218\) | 2400.02 | − | 2400.02i | 0.745642 | − | 0.745642i | ||||
\(219\) | 1637.06 | − | 945.156i | 0.505124 | − | 0.291633i | ||||
\(220\) | 4944.39 | + | 2096.33i | 1.51523 | + | 0.642429i | ||||
\(221\) | 1958.57 | − | 3392.34i | 0.596144 | − | 1.03255i | ||||
\(222\) | 2137.47 | + | 572.734i | 0.646206 | + | 0.173150i | ||||
\(223\) | 2362.48 | + | 2362.48i | 0.709431 | + | 0.709431i | 0.966416 | − | 0.256984i | \(-0.0827289\pi\) |
−0.256984 | + | 0.966416i | \(0.582729\pi\) | |||||||
\(224\) | −1260.33 | − | 3486.43i | −0.375934 | − | 1.03994i | ||||
\(225\) | 273.075 | + | 1091.35i | 0.0809112 | + | 0.323364i | ||||
\(226\) | 2955.82 | + | 5119.64i | 0.869993 | + | 1.50687i | ||||
\(227\) | −927.009 | − | 3459.64i | −0.271047 | − | 1.01156i | −0.958444 | − | 0.285280i | \(-0.907913\pi\) |
0.687397 | − | 0.726282i | \(-0.258753\pi\) | |||||||
\(228\) | 805.972 | + | 3007.93i | 0.234109 | + | 0.873705i | ||||
\(229\) | 721.608 | + | 1249.86i | 0.208232 | + | 0.360669i | 0.951158 | − | 0.308705i | \(-0.0998957\pi\) |
−0.742925 | + | 0.669374i | \(0.766562\pi\) | |||||||
\(230\) | 2639.04 | − | 325.154i | 0.756579 | − | 0.0932175i | ||||
\(231\) | −2111.72 | − | 377.116i | −0.601476 | − | 0.107413i | ||||
\(232\) | 1184.65 | + | 1184.65i | 0.335243 | + | 0.335243i | ||||
\(233\) | −5460.44 | − | 1463.12i | −1.53530 | − | 0.411383i | −0.610557 | − | 0.791973i | \(-0.709054\pi\) |
−0.924744 | + | 0.380590i | \(0.875721\pi\) | |||||||
\(234\) | 992.103 | − | 1718.37i | 0.277162 | − | 0.480058i | ||||
\(235\) | 1764.27 | + | 4361.46i | 0.489736 | + | 1.21068i | ||||
\(236\) | −6037.82 | + | 3485.94i | −1.66537 | + | 0.961505i | ||||
\(237\) | −375.088 | + | 375.088i | −0.102804 | + | 0.102804i | ||||
\(238\) | 571.590 | + | 6702.07i | 0.155675 | + | 1.82534i | ||||
\(239\) | 3858.74i | 1.04436i | 0.852836 | + | 0.522178i | \(0.174880\pi\) | ||||
−0.852836 | + | 0.522178i | \(0.825120\pi\) | |||||||
\(240\) | −40.6896 | + | 290.403i | −0.0109438 | + | 0.0781059i | ||||
\(241\) | −1117.34 | − | 645.098i | −0.298649 | − | 0.172425i | 0.343187 | − | 0.939267i | \(-0.388494\pi\) |
−0.641836 | + | 0.766842i | \(0.721827\pi\) | |||||||
\(242\) | 697.128 | − | 186.795i | 0.185178 | − | 0.0496183i | ||||
\(243\) | 62.8930 | − | 234.720i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | −2936.41 | −0.770427 | ||||||||
\(245\) | 2794.27 | + | 2626.44i | 0.728651 | + | 0.684886i | ||||
\(246\) | 5600.98 | 1.45165 | ||||||||
\(247\) | −1052.97 | + | 3929.76i | −0.271252 | + | 1.01233i | ||||
\(248\) | −1819.16 | + | 487.443i | −0.465794 | + | 0.124809i | ||||
\(249\) | 2617.54 | + | 1511.24i | 0.666185 | + | 0.384622i | ||||
\(250\) | 668.358 | + | 6283.15i | 0.169083 | + | 1.58952i | ||||
\(251\) | − | 2795.67i | − | 0.703032i | −0.936182 | − | 0.351516i | \(-0.885666\pi\) | ||
0.936182 | − | 0.351516i | \(-0.114334\pi\) | |||||||
\(252\) | 176.222 | + | 2066.26i | 0.0440515 | + | 0.516517i | ||||
\(253\) | 1436.08 | − | 1436.08i | 0.356859 | − | 0.356859i | ||||
\(254\) | −1970.79 | + | 1137.84i | −0.486844 | + | 0.281079i | ||||
\(255\) | 1051.74 | − | 2480.62i | 0.258283 | − | 0.609185i | ||||
\(256\) | 1574.70 | − | 2727.45i | 0.384447 | − | 0.665882i | ||||
\(257\) | 3460.57 | + | 927.257i | 0.839939 | + | 0.225061i | 0.653045 | − | 0.757319i | \(-0.273491\pi\) |
0.186894 | + | 0.982380i | \(0.440158\pi\) | |||||||
\(258\) | 426.105 | + | 426.105i | 0.102822 | + | 0.102822i | ||||
\(259\) | −2974.47 | − | 531.189i | −0.713609 | − | 0.127438i | ||||
\(260\) | 4173.71 | − | 5346.72i | 0.995549 | − | 1.27534i | ||||
\(261\) | 375.443 | + | 650.286i | 0.0890396 | + | 0.154221i | ||||
\(262\) | −267.068 | − | 996.711i | −0.0629752 | − | 0.235027i | ||||
\(263\) | 1560.02 | + | 5822.07i | 0.365760 | + | 1.36504i | 0.866387 | + | 0.499373i | \(0.166436\pi\) |
−0.500627 | + | 0.865663i | \(0.666897\pi\) | |||||||
\(264\) | −1162.92 | − | 2014.25i | −0.271110 | − | 0.469577i | ||||
\(265\) | 3906.10 | − | 5003.89i | 0.905470 | − | 1.15995i | ||||
\(266\) | −2375.03 | − | 6570.00i | −0.547452 | − | 1.51441i | ||||
\(267\) | 2075.53 | + | 2075.53i | 0.475732 | + | 0.475732i | ||||
\(268\) | −11903.9 | − | 3189.63i | −2.71323 | − | 0.727007i | ||||
\(269\) | 3266.46 | − | 5657.68i | 0.740371 | − | 1.28236i | −0.211955 | − | 0.977279i | \(-0.567983\pi\) |
0.952326 | − | 0.305081i | \(-0.0986836\pi\) | |||||||
\(270\) | 532.751 | − | 1256.54i | 0.120082 | − | 0.283225i | ||||
\(271\) | 1400.35 | − | 808.494i | 0.313894 | − | 0.181227i | −0.334774 | − | 0.942299i | \(-0.608660\pi\) |
0.648668 | + | 0.761072i | \(0.275326\pi\) | |||||||
\(272\) | 496.606 | − | 496.606i | 0.110703 | − | 0.110703i | ||||
\(273\) | −1150.37 | + | 2452.95i | −0.255031 | + | 0.543807i | ||||
\(274\) | 3963.10i | 0.873795i | ||||||||
\(275\) | 3355.38 | + | 3468.79i | 0.735772 | + | 0.760639i | ||||
\(276\) | −1700.31 | − | 981.676i | −0.370822 | − | 0.214094i | ||||
\(277\) | −1993.75 | + | 534.223i | −0.432465 | + | 0.115879i | −0.468483 | − | 0.883473i | \(-0.655199\pi\) |
0.0360181 | + | 0.999351i | \(0.488533\pi\) | |||||||
\(278\) | −1616.47 | + | 6032.74i | −0.348738 | + | 1.30151i | ||||
\(279\) | −844.101 | −0.181129 | ||||||||
\(280\) | −224.952 | + | 4151.84i | −0.0480123 | + | 0.886143i | ||||
\(281\) | −1707.65 | −0.362526 | −0.181263 | − | 0.983435i | \(-0.558019\pi\) | ||||
−0.181263 | + | 0.983435i | \(0.558019\pi\) | |||||||
\(282\) | 1477.26 | − | 5513.21i | 0.311949 | − | 1.16421i | ||||
\(283\) | 3322.02 | − | 890.132i | 0.697786 | − | 0.186971i | 0.107548 | − | 0.994200i | \(-0.465700\pi\) |
0.590239 | + | 0.807229i | \(0.299034\pi\) | |||||||
\(284\) | 7951.94 | + | 4591.06i | 1.66148 | + | 0.959257i | ||||
\(285\) | −388.302 | + | 2771.32i | −0.0807054 | + | 0.575997i | ||||
\(286\) | − | 8511.95i | − | 1.75987i | ||||||
\(287\) | −7620.10 | + | 649.885i | −1.56725 | + | 0.133664i | ||||
\(288\) | 1273.89 | − | 1273.89i | 0.260641 | − | 0.260641i | ||||
\(289\) | −1333.67 | + | 769.993i | −0.271457 | + | 0.156726i | ||||
\(290\) | 1581.49 | + | 3909.62i | 0.320235 | + | 0.791657i | ||||
\(291\) | −2687.24 | + | 4654.43i | −0.541335 | + | 0.937620i | ||||
\(292\) | −7572.25 | − | 2028.98i | −1.51758 | − | 0.406634i | ||||
\(293\) | −3697.62 | − | 3697.62i | −0.737260 | − | 0.737260i | 0.234787 | − | 0.972047i | \(-0.424561\pi\) |
−0.972047 | + | 0.234787i | \(0.924561\pi\) | |||||||
\(294\) | −787.824 | − | 4585.14i | −0.156282 | − | 0.909561i | ||||
\(295\) | −6218.18 | + | 766.137i | −1.22724 | + | 0.151208i | ||||
\(296\) | −1638.04 | − | 2837.18i | −0.321653 | − | 0.557120i | ||||
\(297\) | −269.802 | − | 1006.91i | −0.0527121 | − | 0.196724i | ||||
\(298\) | −1602.37 | − | 5980.11i | −0.311485 | − | 1.16248i | ||||
\(299\) | −1282.53 | − | 2221.40i | −0.248062 | − | 0.429655i | ||||
\(300\) | 2399.58 | − | 4001.15i | 0.461799 | − | 0.770021i | ||||
\(301\) | −629.154 | − | 530.272i | −0.120478 | − | 0.101543i | ||||
\(302\) | 9624.63 | + | 9624.63i | 1.83389 | + | 1.83389i | ||||
\(303\) | −1112.35 | − | 298.053i | −0.210900 | − | 0.0565105i | ||||
\(304\) | −364.711 | + | 631.698i | −0.0688080 | + | 0.119179i | ||||
\(305\) | −2429.44 | − | 1030.03i | −0.456095 | − | 0.193376i | ||||
\(306\) | −2830.80 | + | 1634.36i | −0.528843 | + | 0.305328i | ||||
\(307\) | −6817.56 | + | 6817.56i | −1.26742 | + | 1.26742i | −0.320008 | + | 0.947415i | \(0.603686\pi\) |
−0.947415 | + | 0.320008i | \(0.896314\pi\) | |||||||
\(308\) | 5086.67 | + | 7298.43i | 0.941038 | + | 1.35022i | ||||
\(309\) | − | 1794.02i | − | 0.330286i | ||||||
\(310\) | −4695.05 | − | 657.844i | −0.860197 | − | 0.120526i | ||||
\(311\) | 1173.84 | + | 677.715i | 0.214026 | + | 0.123568i | 0.603181 | − | 0.797604i | \(-0.293900\pi\) |
−0.389155 | + | 0.921172i | \(0.627233\pi\) | |||||||
\(312\) | −2837.46 | + | 760.295i | −0.514870 | + | 0.137959i | ||||
\(313\) | 1530.87 | − | 5713.30i | 0.276454 | − | 1.03174i | −0.678407 | − | 0.734687i | \(-0.737329\pi\) |
0.954861 | − | 0.297054i | \(-0.0960041\pi\) | |||||||
\(314\) | −3381.97 | −0.607820 | ||||||||
\(315\) | −579.007 | + | 1771.33i | −0.103566 | + | 0.316836i | ||||
\(316\) | 2199.87 | 0.391621 | ||||||||
\(317\) | −1509.30 | + | 5632.80i | −0.267416 | + | 0.998011i | 0.693339 | + | 0.720612i | \(0.256139\pi\) |
−0.960755 | + | 0.277399i | \(0.910528\pi\) | |||||||
\(318\) | −7438.73 | + | 1993.20i | −1.31177 | + | 0.351488i | ||||
\(319\) | 2789.63 | + | 1610.59i | 0.489622 | + | 0.282683i | ||||
\(320\) | 7454.09 | − | 5621.95i | 1.30218 | − | 0.982114i | ||||
\(321\) | 5102.66i | 0.887236i | ||||||||
\(322\) | 3987.87 | + | 1870.20i | 0.690172 | + | 0.323672i | ||||
\(323\) | 4739.13 | − | 4739.13i | 0.816384 | − | 0.816384i | ||||
\(324\) | −872.740 | + | 503.877i | −0.149647 | + | 0.0863986i | ||||
\(325\) | 5328.64 | − | 2959.55i | 0.909477 | − | 0.505126i | ||||
\(326\) | −6767.43 | + | 11721.5i | −1.14973 | + | 1.99140i | ||||
\(327\) | −2175.40 | − | 582.898i | −0.367890 | − | 0.0985759i | ||||
\(328\) | −5863.38 | − | 5863.38i | −0.987045 | − | 0.987045i | ||||
\(329\) | −1370.10 | + | 7672.10i | −0.229593 | + | 1.28564i | ||||
\(330\) | −715.959 | − | 5810.92i | −0.119431 | − | 0.969335i | ||||
\(331\) | 1758.33 | + | 3045.51i | 0.291983 | + | 0.505729i | 0.974278 | − | 0.225347i | \(-0.0723517\pi\) |
−0.682296 | + | 0.731076i | \(0.739018\pi\) | |||||||
\(332\) | −3244.20 | − | 12107.5i | −0.536291 | − | 2.00147i | ||||
\(333\) | −380.031 | − | 1418.29i | −0.0625392 | − | 0.233400i | ||||
\(334\) | 599.522 | + | 1038.40i | 0.0982167 | + | 0.170116i | ||||
\(335\) | −8729.80 | − | 6814.59i | −1.42376 | − | 1.11140i | ||||
\(336\) | −313.048 | + | 371.424i | −0.0508279 | + | 0.0603061i | ||||
\(337\) | −5527.15 | − | 5527.15i | −0.893422 | − | 0.893422i | 0.101422 | − | 0.994844i | \(-0.467661\pi\) |
−0.994844 | + | 0.101422i | \(0.967661\pi\) | |||||||
\(338\) | −789.644 | − | 211.585i | −0.127074 | − | 0.0340494i | ||||
\(339\) | 1961.30 | − | 3397.07i | 0.314228 | − | 0.544259i | ||||
\(340\) | −10358.5 | + | 4190.15i | −1.65226 | + | 0.668361i | ||||
\(341\) | −3135.94 | + | 1810.53i | −0.498008 | + | 0.287525i | ||||
\(342\) | 2400.58 | − | 2400.58i | 0.379557 | − | 0.379557i | ||||
\(343\) | 1603.85 | + | 6146.65i | 0.252477 | + | 0.967603i | ||||
\(344\) | − | 892.134i | − | 0.139827i | ||||||
\(345\) | −1062.40 | − | 1408.62i | −0.165790 | − | 0.219820i | ||||
\(346\) | 6538.01 | + | 3774.72i | 1.01585 | + | 0.586504i | ||||
\(347\) | −1969.11 | + | 527.622i | −0.304633 | + | 0.0816261i | −0.407897 | − | 0.913028i | \(-0.633738\pi\) |
0.103265 | + | 0.994654i | \(0.467071\pi\) | |||||||
\(348\) | 805.969 | − | 3007.92i | 0.124151 | − | 0.463337i | ||||
\(349\) | −762.358 | −0.116929 | −0.0584643 | − | 0.998289i | \(-0.518620\pi\) | ||||
−0.0584643 | + | 0.998289i | \(0.518620\pi\) | |||||||
\(350\) | −4601.02 | + | 9401.26i | −0.702672 | + | 1.43577i | ||||
\(351\) | −1316.60 | −0.200213 | ||||||||
\(352\) | 2000.25 | − | 7465.04i | 0.302880 | − | 1.13036i | ||||
\(353\) | 319.095 | − | 85.5012i | 0.0481125 | − | 0.0128917i | −0.234683 | − | 0.972072i | \(-0.575405\pi\) |
0.282795 | + | 0.959180i | \(0.408738\pi\) | |||||||
\(354\) | 6582.44 | + | 3800.38i | 0.988285 | + | 0.570587i | ||||
\(355\) | 4968.58 | + | 6587.79i | 0.742830 | + | 0.984912i | ||||
\(356\) | − | 12172.8i | − | 1.81225i | ||||||
\(357\) | 3661.65 | − | 2552.00i | 0.542843 | − | 0.378336i | ||||
\(358\) | −3874.61 | + | 3874.61i | −0.572010 | + | 0.572010i | ||||
\(359\) | 8345.62 | − | 4818.35i | 1.22692 | − | 0.708364i | 0.260538 | − | 0.965464i | \(-0.416100\pi\) |
0.966385 | + | 0.257100i | \(0.0827669\pi\) | |||||||
\(360\) | −1873.12 | + | 757.701i | −0.274228 | + | 0.110929i | ||||
\(361\) | −50.9524 | + | 88.2521i | −0.00742854 | + | 0.0128666i | ||||
\(362\) | 13402.1 | + | 3591.09i | 1.94586 | + | 0.521391i | ||||
\(363\) | −338.626 | − | 338.626i | −0.0489621 | − | 0.0489621i | ||||
\(364\) | 10566.6 | − | 3819.79i | 1.52154 | − | 0.550031i | ||||
\(365\) | −5553.17 | − | 4334.87i | −0.796346 | − | 0.621637i | ||||
\(366\) | 1600.64 | + | 2772.39i | 0.228598 | + | 0.395943i | ||||
\(367\) | −970.801 | − | 3623.08i | −0.138080 | − | 0.515322i | −0.999966 | − | 0.00822014i | \(-0.997383\pi\) |
0.861886 | − | 0.507102i | \(-0.169283\pi\) | |||||||
\(368\) | −119.028 | − | 444.219i | −0.0168608 | − | 0.0629254i | ||||
\(369\) | −1858.23 | − | 3218.55i | −0.262156 | − | 0.454068i | ||||
\(370\) | −1008.47 | − | 8185.00i | −0.141697 | − | 1.15005i | ||||
\(371\) | 9889.08 | − | 3574.86i | 1.38387 | − | 0.500263i | ||||
\(372\) | 2475.30 | + | 2475.30i | 0.344995 | + | 0.344995i | ||||
\(373\) | −5717.11 | − | 1531.89i | −0.793621 | − | 0.212650i | −0.160839 | − | 0.986981i | \(-0.551420\pi\) |
−0.632781 | + | 0.774331i | \(0.718087\pi\) | |||||||
\(374\) | −7011.17 | + | 12143.7i | −0.969356 | + | 1.67897i | ||||
\(375\) | 3388.81 | − | 2468.62i | 0.466660 | − | 0.339944i | ||||
\(376\) | −7317.97 | + | 4225.03i | −1.00371 | + | 0.579493i | ||||
\(377\) | 2876.77 | − | 2876.77i | 0.393001 | − | 0.393001i | ||||
\(378\) | 1854.79 | − | 1292.70i | 0.252381 | − | 0.175898i | ||||
\(379\) | 9473.48i | 1.28396i | 0.766722 | + | 0.641979i | \(0.221886\pi\) | ||||
−0.766722 | + | 0.641979i | \(0.778114\pi\) | |||||||
\(380\) | 9265.50 | − | 6988.13i | 1.25082 | − | 0.943378i | ||||
\(381\) | 1307.69 | + | 754.998i | 0.175840 | + | 0.101522i | ||||
\(382\) | −1645.20 | + | 440.829i | −0.220355 | + | 0.0590440i | ||||
\(383\) | 663.707 | − | 2476.99i | 0.0885479 | − | 0.330465i | −0.907415 | − | 0.420237i | \(-0.861947\pi\) |
0.995962 | + | 0.0897716i | \(0.0286137\pi\) | |||||||
\(384\) | −6522.60 | −0.866810 | ||||||||
\(385\) | 1648.30 | + | 7822.65i | 0.218195 | + | 1.03553i | ||||
\(386\) | 8380.31 | 1.10504 | ||||||||
\(387\) | 103.489 | − | 386.226i | 0.0135934 | − | 0.0507311i | ||||
\(388\) | 21529.2 | − | 5768.73i | 2.81696 | − | 0.754801i | ||||
\(389\) | 10784.1 | + | 6226.21i | 1.40559 | + | 0.811521i | 0.994959 | − | 0.100279i | \(-0.0319736\pi\) |
0.410635 | + | 0.911800i | \(0.365307\pi\) | |||||||
\(390\) | −7323.17 | − | 1026.08i | −0.950828 | − | 0.133225i | ||||
\(391\) | 4225.59i | 0.546541i | ||||||||
\(392\) | −3975.22 | + | 5624.68i | −0.512191 | + | 0.724718i | ||||
\(393\) | −484.146 | + | 484.146i | −0.0621423 | + | 0.0621423i | ||||
\(394\) | 10787.8 | − | 6228.36i | 1.37940 | − | 0.796397i | ||||
\(395\) | 1820.06 | + | 771.670i | 0.231841 | + | 0.0982961i | ||||
\(396\) | −2161.56 | + | 3743.93i | −0.274299 | + | 0.475100i | ||||
\(397\) | −13241.2 | − | 3547.98i | −1.67395 | − | 0.448534i | −0.707779 | − | 0.706434i | \(-0.750303\pi\) |
−0.966171 | + | 0.257901i | \(0.916969\pi\) | |||||||
\(398\) | 16505.7 | + | 16505.7i | 2.07878 | + | 2.07878i | ||||
\(399\) | −2987.43 | + | 3544.51i | −0.374834 | + | 0.444731i | ||||
\(400\) | 1060.16 | − | 265.269i | 0.132519 | − | 0.0331586i | ||||
\(401\) | 955.935 | + | 1655.73i | 0.119045 | + | 0.206192i | 0.919390 | − | 0.393348i | \(-0.128683\pi\) |
−0.800344 | + | 0.599541i | \(0.795350\pi\) | |||||||
\(402\) | 3477.35 | + | 12977.6i | 0.431428 | + | 1.61011i | ||||
\(403\) | 1183.69 | + | 4417.58i | 0.146312 | + | 0.546043i | ||||
\(404\) | 2387.89 | + | 4135.95i | 0.294065 | + | 0.509335i | ||||
\(405\) | −898.811 | + | 110.742i | −0.110277 | + | 0.0135872i | ||||
\(406\) | −1228.16 | + | 6877.28i | −0.150130 | + | 0.840674i | ||||
\(407\) | −4454.00 | − | 4454.00i | −0.542448 | − | 0.542448i | ||||
\(408\) | 4674.35 | + | 1252.49i | 0.567193 | + | 0.151979i | ||||
\(409\) | −6050.07 | + | 10479.0i | −0.731434 | + | 1.26688i | 0.224836 | + | 0.974397i | \(0.427815\pi\) |
−0.956270 | + | 0.292485i | \(0.905518\pi\) | |||||||
\(410\) | −7827.49 | − | 19350.4i | −0.942859 | − | 2.33085i | ||||
\(411\) | 2277.36 | − | 1314.84i | 0.273319 | − | 0.157801i | ||||
\(412\) | −5260.91 | + | 5260.91i | −0.629094 | + | 0.629094i | ||||
\(413\) | −9396.34 | − | 4406.62i | −1.11952 | − | 0.525026i | ||||
\(414\) | 2140.45i | 0.254100i | ||||||||
\(415\) | 1563.00 | − | 11155.1i | 0.184878 | − | 1.31948i | ||||
\(416\) | −8453.24 | − | 4880.48i | −0.996284 | − | 0.575205i | ||||
\(417\) | 4002.95 | − | 1072.59i | 0.470085 | − | 0.125959i | ||||
\(418\) | 3769.37 | − | 14067.5i | 0.441067 | − | 1.64609i | ||||
\(419\) | −3652.75 | −0.425891 | −0.212946 | − | 0.977064i | \(-0.568306\pi\) | ||||
−0.212946 | + | 0.977064i | \(0.568306\pi\) | |||||||
\(420\) | 6892.30 | − | 3496.46i | 0.800737 | − | 0.406214i | ||||
\(421\) | 15908.6 | 1.84166 | 0.920831 | − | 0.389961i | \(-0.127512\pi\) | ||||
0.920831 | + | 0.389961i | \(0.127512\pi\) | |||||||
\(422\) | −1540.07 | + | 5747.62i | −0.177653 | + | 0.663009i | ||||
\(423\) | −3658.23 | + | 980.219i | −0.420494 | + | 0.112671i | ||||
\(424\) | 9873.81 | + | 5700.65i | 1.13093 | + | 0.652943i | ||||
\(425\) | −10039.9 | − | 166.846i | −1.14590 | − | 0.0190428i | ||||
\(426\) | − | 10010.4i | − | 1.13851i | ||||||
\(427\) | −2499.34 | − | 3586.10i | −0.283259 | − | 0.406425i | ||||
\(428\) | 14963.4 | − | 14963.4i | 1.68991 | − | 1.68991i | ||||
\(429\) | −4891.32 | + | 2824.00i | −0.550478 | + | 0.317818i | ||||
\(430\) | 876.627 | − | 2067.61i | 0.0983133 | − | 0.231881i | ||||
\(431\) | −4523.39 | + | 7834.74i | −0.505532 | + | 0.875606i | 0.494448 | + | 0.869207i | \(0.335370\pi\) |
−0.999980 | + | 0.00639914i | \(0.997963\pi\) | |||||||
\(432\) | −228.010 | − | 61.0951i | −0.0253938 | − | 0.00680425i | ||||
\(433\) | −3918.73 | − | 3918.73i | −0.434924 | − | 0.434924i | 0.455375 | − | 0.890300i | \(-0.349505\pi\) |
−0.890300 | + | 0.455375i | \(0.849505\pi\) | |||||||
\(434\) | −6004.95 | − | 5061.17i | −0.664164 | − | 0.559779i | ||||
\(435\) | 1721.94 | − | 2205.88i | 0.189794 | − | 0.243135i | ||||
\(436\) | 4669.97 | + | 8088.63i | 0.512961 | + | 0.888475i | ||||
\(437\) | −1135.89 | − | 4239.20i | −0.124341 | − | 0.464047i | ||||
\(438\) | 2212.00 | + | 8255.29i | 0.241309 | + | 0.900578i | ||||
\(439\) | −3221.24 | − | 5579.35i | −0.350208 | − | 0.606578i | 0.636078 | − | 0.771625i | \(-0.280556\pi\) |
−0.986286 | + | 0.165047i | \(0.947222\pi\) | |||||||
\(440\) | −5333.65 | + | 6832.65i | −0.577891 | + | 0.740305i | ||||
\(441\) | −2373.43 | + | 1973.92i | −0.256283 | + | 0.213144i | ||||
\(442\) | 12523.0 | + | 12523.0i | 1.34765 | + | 1.34765i | ||||
\(443\) | −7918.55 | − | 2121.77i | −0.849259 | − | 0.227558i | −0.192161 | − | 0.981363i | \(-0.561550\pi\) |
−0.657098 | + | 0.753805i | \(0.728216\pi\) | |||||||
\(444\) | −3044.67 | + | 5273.53i | −0.325437 | + | 0.563673i | ||||
\(445\) | 4270.00 | − | 10071.2i | 0.454870 | − | 1.07285i | ||||
\(446\) | −13081.8 | + | 7552.80i | −1.38888 | + | 0.801873i | ||||
\(447\) | −2904.80 | + | 2904.80i | −0.307366 | + | 0.307366i | ||||
\(448\) | 15410.0 | − | 1314.25i | 1.62512 | − | 0.138599i | ||||
\(449\) | − | 9021.47i | − | 0.948217i | −0.880467 | − | 0.474108i | \(-0.842770\pi\) | ||
0.880467 | − | 0.474108i | \(-0.157230\pi\) | |||||||
\(450\) | −5085.67 | − | 84.5148i | −0.532757 | − | 0.00885347i | ||||
\(451\) | −13807.1 | − | 7971.54i | −1.44158 | − | 0.832295i | ||||
\(452\) | −15713.3 | + | 4210.36i | −1.63515 | + | 0.438138i | ||||
\(453\) | 2337.55 | − | 8723.86i | 0.242445 | − | 0.904819i | ||||
\(454\) | 16193.6 | 1.67401 | ||||||||
\(455\) | 10082.2 | + | 546.265i | 1.03881 | + | 0.0562841i | ||||
\(456\) | −5026.08 | −0.516158 | ||||||||
\(457\) | 806.142 | − | 3008.56i | 0.0825158 | − | 0.307953i | −0.912316 | − | 0.409486i | \(-0.865708\pi\) |
0.994832 | + | 0.101533i | \(0.0323747\pi\) | |||||||
\(458\) | −6302.75 | + | 1688.82i | −0.643031 | + | 0.172300i | ||||
\(459\) | 1878.34 | + | 1084.46i | 0.191010 | + | 0.110280i | ||||
\(460\) | −1015.30 | + | 7246.20i | −0.102910 | + | 0.734469i | ||||
\(461\) | 1056.67i | 0.106755i | 0.998574 | + | 0.0533776i | \(0.0169987\pi\) | ||||
−0.998574 | + | 0.0533776i | \(0.983001\pi\) | |||||||
\(462\) | 4118.01 | − | 8780.92i | 0.414691 | − | 0.884254i | ||||
\(463\) | 4783.03 | − | 4783.03i | 0.480100 | − | 0.480100i | −0.425064 | − | 0.905163i | \(-0.639748\pi\) |
0.905163 | + | 0.425064i | \(0.139748\pi\) | |||||||
\(464\) | 631.696 | − | 364.710i | 0.0632020 | − | 0.0364897i | ||||
\(465\) | 1179.65 | + | 2916.22i | 0.117645 | + | 0.290831i | ||||
\(466\) | 12779.4 | − | 22134.5i | 1.27037 | − | 2.20034i | ||||
\(467\) | 9772.64 | + | 2618.57i | 0.968359 | + | 0.259471i | 0.708135 | − | 0.706077i | \(-0.249537\pi\) |
0.260224 | + | 0.965548i | \(0.416204\pi\) | |||||||
\(468\) | 3860.88 | + | 3860.88i | 0.381344 | + | 0.381344i | ||||
\(469\) | −6236.71 | − | 17252.5i | −0.614040 | − | 1.69861i | ||||
\(470\) | −21111.7 | + | 2601.16i | −2.07194 | + | 0.255282i | ||||
\(471\) | 1122.03 | + | 1943.42i | 0.109768 | + | 0.190123i | ||||
\(472\) | −2912.40 | − | 10869.2i | −0.284013 | − | 1.05995i | ||||
\(473\) | −443.952 | − | 1656.85i | −0.0431563 | − | 0.161061i | ||||
\(474\) | −1199.15 | − | 2076.99i | −0.116200 | − | 0.201264i | ||||
\(475\) | 10117.1 | − | 2531.47i | 0.977273 | − | 0.244530i | ||||
\(476\) | −18221.3 | − | 3254.01i | −1.75456 | − | 0.313335i | ||||
\(477\) | 3613.32 | + | 3613.32i | 0.346840 | + | 0.346840i | ||||
\(478\) | −16851.7 | − | 4515.41i | −1.61251 | − | 0.432071i | ||||
\(479\) | −1182.06 | + | 2047.38i | −0.112755 | + | 0.195297i | −0.916880 | − | 0.399163i | \(-0.869301\pi\) |
0.804125 | + | 0.594460i | \(0.202634\pi\) | |||||||
\(480\) | −6181.34 | − | 2620.77i | −0.587788 | − | 0.249211i | ||||
\(481\) | −6889.69 | + | 3977.77i | −0.653104 | + | 0.377070i | ||||
\(482\) | 4124.74 | − | 4124.74i | 0.389785 | − | 0.389785i | ||||
\(483\) | −248.358 | − | 2912.07i | −0.0233968 | − | 0.274335i | ||||
\(484\) | 1986.02i | 0.186515i | ||||||||
\(485\) | 19835.7 | + | 2779.27i | 1.85710 | + | 0.260206i | ||||
\(486\) | 951.464 | + | 549.328i | 0.0888051 | + | 0.0512716i | ||||
\(487\) | 12270.3 | − | 3287.81i | 1.14172 | − | 0.305923i | 0.362079 | − | 0.932148i | \(-0.382067\pi\) |
0.779643 | + | 0.626224i | \(0.215401\pi\) | |||||||
\(488\) | 1226.65 | − | 4577.90i | 0.113786 | − | 0.424655i | ||||
\(489\) | 8980.90 | 0.830533 | ||||||||
\(490\) | −14739.9 | + | 9129.63i | −1.35894 | + | 0.841703i | ||||
\(491\) | −5861.11 | −0.538714 | −0.269357 | − | 0.963040i | \(-0.586811\pi\) | ||||
−0.269357 | + | 0.963040i | \(0.586811\pi\) | |||||||
\(492\) | −3989.09 | + | 14887.5i | −0.365533 | + | 1.36419i | ||||
\(493\) | −6473.74 | + | 1734.63i | −0.591405 | + | 0.158467i | ||||
\(494\) | −15929.7 | − | 9197.02i | −1.45083 | − | 0.837639i | ||||
\(495\) | −3101.66 | + | 2339.30i | −0.281635 | + | 0.212412i | ||||
\(496\) | 819.970i | 0.0742293i | ||||||||
\(497\) | 1161.51 | + | 13619.0i | 0.104831 | + | 1.22917i | ||||
\(498\) | −9662.82 | + | 9662.82i | −0.869480 | + | 0.869480i | ||||
\(499\) | −10907.2 | + | 6297.30i | −0.978508 | + | 0.564942i | −0.901819 | − | 0.432113i | \(-0.857768\pi\) |
−0.0766887 | + | 0.997055i | \(0.524435\pi\) | |||||||
\(500\) | −17176.7 | − | 2698.43i | −1.53633 | − | 0.241355i | ||||
\(501\) | 397.806 | − | 689.020i | 0.0354743 | − | 0.0614434i | ||||
\(502\) | 12209.1 | + | 3271.43i | 1.08550 | + | 0.290858i | ||||
\(503\) | −7660.55 | − | 7660.55i | −0.679059 | − | 0.679059i | 0.280728 | − | 0.959787i | \(-0.409424\pi\) |
−0.959787 | + | 0.280728i | \(0.909424\pi\) | |||||||
\(504\) | −3294.94 | − | 588.420i | −0.291207 | − | 0.0520045i | ||||
\(505\) | 524.810 | + | 4259.50i | 0.0462450 | + | 0.375337i | ||||
\(506\) | 4591.11 | + | 7952.04i | 0.403359 | + | 0.698638i | ||||
\(507\) | 140.394 | + | 523.959i | 0.0122981 | + | 0.0458971i | ||||
\(508\) | −1620.76 | − | 6048.78i | −0.141555 | − | 0.528289i | ||||
\(509\) | 5787.83 | + | 10024.8i | 0.504010 | + | 0.872971i | 0.999989 | + | 0.00463649i | \(0.00147584\pi\) |
−0.495979 | + | 0.868334i | \(0.665191\pi\) | |||||||
\(510\) | 9602.54 | + | 7495.86i | 0.833740 | + | 0.650828i | ||||
\(511\) | −3967.28 | − | 10974.6i | −0.343448 | − | 0.950075i | ||||
\(512\) | −2230.58 | − | 2230.58i | −0.192536 | − | 0.192536i | ||||
\(513\) | −2175.91 | − | 583.033i | −0.187268 | − | 0.0501784i | ||||
\(514\) | −8098.96 | + | 14027.8i | −0.694999 | + | 1.20377i | ||||
\(515\) | −6198.04 | + | 2507.19i | −0.530327 | + | 0.214524i | ||||
\(516\) | −1436.07 | + | 829.116i | −0.122518 | + | 0.0707360i | ||||
\(517\) | −11488.3 | + | 11488.3i | −0.977279 | + | 0.977279i | ||||
\(518\) | 5800.45 | − | 12368.4i | 0.492002 | − | 1.04911i | ||||
\(519\) | − | 5009.34i | − | 0.423672i | ||||||
\(520\) | 6592.10 | + | 8740.40i | 0.555928 | + | 0.737100i | ||||
\(521\) | 15690.1 | + | 9058.67i | 1.31938 | + | 0.761742i | 0.983628 | − | 0.180210i | \(-0.0576777\pi\) |
0.335748 | + | 0.941952i | \(0.391011\pi\) | |||||||
\(522\) | −3279.24 | + | 878.669i | −0.274959 | + | 0.0736749i | ||||
\(523\) | −2185.34 | + | 8155.81i | −0.182712 | + | 0.681891i | 0.812397 | + | 0.583105i | \(0.198162\pi\) |
−0.995109 | + | 0.0987856i | \(0.968504\pi\) | |||||||
\(524\) | 2839.48 | 0.236724 | ||||||||
\(525\) | 6928.83 | − | 475.111i | 0.575998 | − | 0.0394963i | ||||
\(526\) | −27251.4 | −2.25897 | ||||||||
\(527\) | 1949.97 | − | 7277.40i | 0.161181 | − | 0.601534i | ||||
\(528\) | −978.129 | + | 262.089i | −0.0806204 | + | 0.0216022i | ||||
\(529\) | −8140.61 | − | 4699.98i | −0.669073 | − | 0.386289i | ||||
\(530\) | 17282.0 | + | 22914.0i | 1.41638 | + | 1.87796i | ||||
\(531\) | − | 5043.39i | − | 0.412174i | ||||||
\(532\) | 19154.7 | − | 1633.62i | 1.56102 | − | 0.133132i | ||||
\(533\) | −14238.4 | + | 14238.4i | −1.15710 | + | 1.15710i | ||||
\(534\) | −11492.9 | + | 6635.43i | −0.931361 | + | 0.537722i | ||||
\(535\) | 17628.8 | − | 7131.08i | 1.42460 | − | 0.576268i | ||||
\(536\) | 9945.36 | − | 17225.9i | 0.801444 | − | 1.38814i | ||||
\(537\) | 3511.99 | + | 941.034i | 0.282223 | + | 0.0756213i | ||||
\(538\) | 20885.7 | + | 20885.7i | 1.67369 | + | 1.67369i | ||||
\(539\) | −4583.68 | + | 12424.2i | −0.366295 | + | 0.992855i | ||||
\(540\) | 2960.48 | + | 2310.99i | 0.235924 | + | 0.184165i | ||||
\(541\) | −1462.87 | − | 2533.76i | −0.116254 | − | 0.201358i | 0.802026 | − | 0.597289i | \(-0.203755\pi\) |
−0.918280 | + | 0.395931i | \(0.870422\pi\) | |||||||
\(542\) | 1892.16 | + | 7061.64i | 0.149954 | + | 0.559638i | ||||
\(543\) | −2382.83 | − | 8892.83i | −0.188318 | − | 0.702814i | ||||
\(544\) | 8039.96 | + | 13925.6i | 0.633659 | + | 1.09753i | ||||
\(545\) | 1026.36 | + | 8330.25i | 0.0806690 | + | 0.654732i | ||||
\(546\) | −9366.30 | − | 7894.22i | −0.734140 | − | 0.618757i | ||||
\(547\) | 11390.3 | + | 11390.3i | 0.890337 | + | 0.890337i | 0.994555 | − | 0.104218i | \(-0.0332339\pi\) |
−0.104218 | + | 0.994555i | \(0.533234\pi\) | |||||||
\(548\) | −10534.0 | − | 2822.58i | −0.821150 | − | 0.220026i | ||||
\(549\) | 1062.09 | − | 1839.59i | 0.0825660 | − | 0.143008i | ||||
\(550\) | −19075.1 | + | 10594.4i | −1.47885 | + | 0.821358i | ||||
\(551\) | 6028.30 | − | 3480.44i | 0.466087 | − | 0.269096i | ||||
\(552\) | 2240.73 | − | 2240.73i | 0.172775 | − | 0.172775i | ||||
\(553\) | 1872.43 | + | 2686.59i | 0.143985 | + | 0.206592i | ||||
\(554\) | − | 9332.16i | − | 0.715677i | ||||||
\(555\) | −4368.86 | + | 3295.04i | −0.334140 | + | 0.252012i | ||||
\(556\) | −14883.9 | − | 8593.20i | −1.13528 | − | 0.655455i | ||||
\(557\) | 13106.7 | − | 3511.92i | 0.997034 | − | 0.267154i | 0.276831 | − | 0.960918i | \(-0.410716\pi\) |
0.720202 | + | 0.693764i | \(0.244049\pi\) | |||||||
\(558\) | 987.748 | − | 3686.32i | 0.0749367 | − | 0.279668i | ||||
\(559\) | −2166.42 | −0.163918 | ||||||||
\(560\) | 1720.70 | + | 562.454i | 0.129844 | + | 0.0424429i | ||||
\(561\) | 9304.36 | 0.700232 | ||||||||
\(562\) | 1998.25 | − | 7457.57i | 0.149984 | − | 0.559749i | ||||
\(563\) | 7608.60 | − | 2038.72i | 0.569564 | − | 0.152614i | 0.0374672 | − | 0.999298i | \(-0.488071\pi\) |
0.532096 | + | 0.846684i | \(0.321404\pi\) | |||||||
\(564\) | 13602.1 | + | 7853.17i | 1.01552 | + | 0.586309i | ||||
\(565\) | −14477.3 | − | 2028.47i | −1.07799 | − | 0.151041i | ||||
\(566\) | 15549.4i | 1.15475i | ||||||||
\(567\) | −1358.20 | − | 636.958i | −0.100598 | − | 0.0471777i | ||||
\(568\) | −10479.3 | + | 10479.3i | −0.774125 | + | 0.774125i | ||||
\(569\) | −3943.73 | + | 2276.91i | −0.290562 | + | 0.167756i | −0.638195 | − | 0.769874i | \(-0.720319\pi\) |
0.347633 | + | 0.937631i | \(0.386985\pi\) | |||||||
\(570\) | −11648.4 | − | 4938.72i | −0.855964 | − | 0.362913i | ||||
\(571\) | 7554.25 | − | 13084.3i | 0.553652 | − | 0.958954i | −0.444355 | − | 0.895851i | \(-0.646567\pi\) |
0.998007 | − | 0.0631031i | \(-0.0200997\pi\) | |||||||
\(572\) | 22624.9 | + | 6062.33i | 1.65384 | + | 0.443145i | ||||
\(573\) | 799.144 | + | 799.144i | 0.0582631 | + | 0.0582631i | ||||
\(574\) | 6078.71 | − | 34038.7i | 0.442022 | − | 2.47517i | ||||
\(575\) | −3381.83 | + | 5638.99i | −0.245273 | + | 0.408977i | ||||
\(576\) | 3757.86 | + | 6508.80i | 0.271836 | + | 0.470833i | ||||
\(577\) | −212.586 | − | 793.380i | −0.0153380 | − | 0.0572424i | 0.957833 | − | 0.287327i | \(-0.0927665\pi\) |
−0.973171 | + | 0.230084i | \(0.926100\pi\) | |||||||
\(578\) | −1802.06 | − | 6725.37i | −0.129681 | − | 0.483977i | ||||
\(579\) | −2780.33 | − | 4815.67i | −0.199562 | − | 0.345652i | ||||
\(580\) | −11518.2 | + | 1419.15i | −0.824598 | + | 0.101598i | ||||
\(581\) | 12025.0 | − | 14267.4i | 0.858661 | − | 1.01878i | ||||
\(582\) | −17182.1 | − | 17182.1i | −1.22375 | − | 1.22375i | ||||
\(583\) | 21174.2 | + | 5673.61i | 1.50420 | + | 0.403048i | ||||
\(584\) | 6326.41 | − | 10957.7i | 0.448269 | − | 0.776424i | ||||
\(585\) | 1839.97 | + | 4548.61i | 0.130040 | + | 0.321473i | ||||
\(586\) | 20475.0 | − | 11821.2i | 1.44337 | − | 0.833329i | ||||
\(587\) | 5660.66 | − | 5660.66i | 0.398025 | − | 0.398025i | −0.479511 | − | 0.877536i | \(-0.659186\pi\) |
0.877536 | + | 0.479511i | \(0.159186\pi\) | |||||||
\(588\) | 12748.5 | + | 1171.55i | 0.894113 | + | 0.0821666i | ||||
\(589\) | 7825.01i | 0.547409i | ||||||||
\(590\) | 3930.53 | − | 28052.3i | 0.274267 | − | 1.95745i | ||||
\(591\) | −7158.14 | − | 4132.76i | −0.498218 | − | 0.287646i | ||||
\(592\) | −1377.75 | + | 369.167i | −0.0956506 | + | 0.0256295i | ||||
\(593\) | −6753.23 | + | 25203.4i | −0.467659 | + | 1.74533i | 0.180261 | + | 0.983619i | \(0.442306\pi\) |
−0.647920 | + | 0.761708i | \(0.724361\pi\) | |||||||
\(594\) | 4713.07 | 0.325555 | ||||||||
\(595\) | −13933.9 | − | 9083.88i | −0.960061 | − | 0.625887i | ||||
\(596\) | 17036.5 | 1.17087 | ||||||||
\(597\) | 4008.77 | − | 14960.9i | 0.274821 | − | 1.02565i | ||||
\(598\) | 11202.0 | − | 3001.57i | 0.766026 | − | 0.205256i | ||||
\(599\) | −8018.89 | − | 4629.71i | −0.546984 | − | 0.315801i | 0.200921 | − | 0.979607i | \(-0.435607\pi\) |
−0.747904 | + | 0.663806i | \(0.768940\pi\) | |||||||
\(600\) | 5235.45 | + | 5412.40i | 0.356227 | + | 0.368267i | ||||
\(601\) | 22508.8i | 1.52771i | 0.645389 | + | 0.763854i | \(0.276695\pi\) | ||||
−0.645389 | + | 0.763854i | \(0.723305\pi\) | |||||||
\(602\) | 3052.00 | − | 2127.11i | 0.206629 | − | 0.144011i | ||||
\(603\) | 6303.80 | − | 6303.80i | 0.425722 | − | 0.425722i | ||||
\(604\) | −32437.2 | + | 18727.6i | −2.18519 | + | 1.26162i | ||||
\(605\) | −696.656 | + | 1643.13i | −0.0468150 | + | 0.110418i | ||||
\(606\) | 2603.29 | − | 4509.02i | 0.174507 | − | 0.302255i | ||||
\(607\) | −11256.7 | − | 3016.21i | −0.752708 | − | 0.201687i | −0.137989 | − | 0.990434i | \(-0.544064\pi\) |
−0.614719 | + | 0.788746i | \(0.710730\pi\) | |||||||
\(608\) | −11809.2 | − | 11809.2i | −0.787709 | − | 0.787709i | ||||
\(609\) | 4359.43 | − | 1575.92i | 0.290071 | − | 0.104859i | ||||
\(610\) | 7341.20 | − | 9404.41i | 0.487273 | − | 0.624219i | ||||
\(611\) | 10259.9 | + | 17770.7i | 0.679331 | + | 1.17664i | ||||
\(612\) | −2328.03 | − | 8688.32i | −0.153766 | − | 0.573864i | ||||
\(613\) | 5896.55 | + | 22006.2i | 0.388514 | + | 1.44996i | 0.832552 | + | 0.553947i | \(0.186879\pi\) |
−0.444038 | + | 0.896008i | \(0.646454\pi\) | |||||||
\(614\) | −21795.6 | − | 37751.1i | −1.43257 | − | 2.48129i | ||||
\(615\) | −8522.61 | + | 10917.9i | −0.558805 | + | 0.715855i | ||||
\(616\) | −13503.2 | + | 4881.36i | −0.883216 | + | 0.319279i | ||||
\(617\) | −8634.24 | − | 8634.24i | −0.563373 | − | 0.563373i | 0.366891 | − | 0.930264i | \(-0.380422\pi\) |
−0.930264 | + | 0.366891i | \(0.880422\pi\) | |||||||
\(618\) | 7834.79 | + | 2099.32i | 0.509970 | + | 0.136646i | ||||
\(619\) | −1622.58 | + | 2810.38i | −0.105358 | + | 0.182486i | −0.913885 | − | 0.405974i | \(-0.866932\pi\) |
0.808526 | + | 0.588460i | \(0.200266\pi\) | |||||||
\(620\) | 5092.44 | − | 12011.0i | 0.329867 | − | 0.778022i | ||||
\(621\) | 1229.99 | − | 710.135i | 0.0794812 | − | 0.0458885i | ||||
\(622\) | −4333.29 | + | 4333.29i | −0.279339 | + | 0.279339i | ||||
\(623\) | 14866.1 | − | 10361.0i | 0.956017 | − | 0.666300i | ||||
\(624\) | 1278.96i | 0.0820502i | ||||||||
\(625\) | −13264.6 | − | 8257.81i | −0.848934 | − | 0.528500i | ||||
\(626\) | 23159.5 | + | 13371.1i | 1.47866 | + | 0.853704i | ||||
\(627\) | −9334.32 | + | 2501.12i | −0.594540 | + | 0.159307i | ||||
\(628\) | 2408.68 | − | 8989.33i | 0.153052 | − | 0.571199i | ||||
\(629\) | 13105.7 | 0.830777 | ||||||||
\(630\) | −7058.16 | − | 4601.39i | −0.446355 | − | 0.290990i | ||||
\(631\) | −18151.9 | −1.14519 | −0.572597 | − | 0.819837i | \(-0.694064\pi\) | ||||
−0.572597 | + | 0.819837i | \(0.694064\pi\) | |||||||
\(632\) | −918.965 | + | 3429.62i | −0.0578393 | + | 0.215859i | ||||
\(633\) | 3813.77 | − | 1021.90i | 0.239469 | − | 0.0641654i | ||||
\(634\) | −22833.2 | − | 13182.7i | −1.43032 | − | 0.825794i | ||||
\(635\) | 780.854 | − | 5572.98i | 0.0487988 | − | 0.348279i | ||||
\(636\) | − | 21191.9i | − | 1.32125i | ||||||
\(637\) | 13658.8 | + | 9653.27i | 0.849576 | + | 0.600434i | ||||
\(638\) | −10298.1 | + | 10298.1i | −0.639036 | + | 0.639036i | ||||
\(639\) | −5752.36 | + | 3321.13i | −0.356119 | + | 0.205605i | ||||
\(640\) | 9115.47 | + | 22534.4i | 0.563001 | + | 1.39180i | ||||
\(641\) | −4787.72 | + | 8292.58i | −0.295014 | + | 0.510978i | −0.974988 | − | 0.222257i | \(-0.928657\pi\) |
0.679975 | + | 0.733236i | \(0.261991\pi\) | |||||||
\(642\) | −22284.1 | − | 5971.02i | −1.36991 | − | 0.367067i | ||||
\(643\) | −10557.7 | − | 10557.7i | −0.647519 | − | 0.647519i | 0.304874 | − | 0.952393i | \(-0.401386\pi\) |
−0.952393 | + | 0.304874i | \(0.901386\pi\) | |||||||
\(644\) | −7811.25 | + | 9267.85i | −0.477960 | + | 0.567088i | ||||
\(645\) | −1478.97 | + | 182.223i | −0.0902859 | + | 0.0111240i | ||||
\(646\) | 15150.9 | + | 26242.1i | 0.922762 | + | 1.59827i | ||||
\(647\) | 3237.92 | + | 12084.1i | 0.196748 | + | 0.734272i | 0.991808 | + | 0.127741i | \(0.0407727\pi\) |
−0.795060 | + | 0.606531i | \(0.792561\pi\) | |||||||
\(648\) | −420.975 | − | 1571.10i | −0.0255208 | − | 0.0952449i | ||||
\(649\) | −10817.7 | − | 18736.8i | −0.654286 | − | 1.13326i | ||||
\(650\) | 6689.35 | + | 26734.2i | 0.403659 | + | 1.61324i | ||||
\(651\) | −916.099 | + | 5129.83i | −0.0551532 | + | 0.308839i | ||||
\(652\) | −26336.2 | − | 26336.2i | −1.58191 | − | 1.58191i | ||||
\(653\) | 30306.4 | + | 8120.58i | 1.81621 | + | 0.486651i | 0.996307 | − | 0.0858590i | \(-0.0273634\pi\) |
0.819898 | + | 0.572510i | \(0.194030\pi\) | |||||||
\(654\) | 5091.21 | − | 8818.24i | 0.304407 | − | 0.527248i | ||||
\(655\) | 2349.24 | + | 996.035i | 0.140141 | + | 0.0594173i | ||||
\(656\) | −3126.54 | + | 1805.11i | −0.186084 | + | 0.107435i | ||||
\(657\) | 4009.96 | − | 4009.96i | 0.238118 | − | 0.238118i | ||||
\(658\) | −31902.0 | − | 14961.2i | −1.89008 | − | 0.886394i | ||||
\(659\) | 22866.2i | 1.35165i | 0.737061 | + | 0.675826i | \(0.236213\pi\) | ||||
−0.737061 | + | 0.675826i | \(0.763787\pi\) | |||||||
\(660\) | 15955.4 | + | 2235.59i | 0.941007 | + | 0.131849i | ||||
\(661\) | 10029.1 | + | 5790.28i | 0.590144 | + | 0.340720i | 0.765154 | − | 0.643847i | \(-0.222663\pi\) |
−0.175011 | + | 0.984567i | \(0.555996\pi\) | |||||||
\(662\) | −15357.8 | + | 4115.10i | −0.901657 | + | 0.241598i | ||||
\(663\) | 3041.49 | − | 11351.0i | 0.178163 | − | 0.664912i | ||||
\(664\) | 20231.0 | 1.18240 | ||||||||
\(665\) | 16420.7 | + | 5367.52i | 0.957543 | + | 0.312998i | ||||
\(666\) | 6638.62 | 0.386248 | ||||||||
\(667\) | −1135.89 | + | 4239.19i | −0.0659396 | + | 0.246090i | ||||
\(668\) | −3187.08 | + | 853.975i | −0.184598 | + | 0.0494630i | ||||
\(669\) | 8680.29 | + | 5011.57i | 0.501644 | + | 0.289624i | ||||
\(670\) | 39975.8 | − | 30150.1i | 2.30507 | − | 1.73851i | ||||
\(671\) | − | 9112.38i | − | 0.524262i | ||||||
\(672\) | −6359.22 | − | 9124.30i | −0.365048 | − | 0.523776i | ||||
\(673\) | 139.882 | − | 139.882i | 0.00801196 | − | 0.00801196i | −0.703089 | − | 0.711101i | \(-0.748197\pi\) |
0.711101 | + | 0.703089i | \(0.248197\pi\) | |||||||
\(674\) | 30605.7 | − | 17670.2i | 1.74909 | − | 1.00984i | ||||
\(675\) | 1638.70 | + | 2950.47i | 0.0934424 | + | 0.168243i | ||||
\(676\) | 1124.79 | − | 1948.19i | 0.0639958 | − | 0.110844i | ||||
\(677\) | −12399.9 | − | 3322.53i | −0.703937 | − | 0.188619i | −0.110944 | − | 0.993827i | \(-0.535387\pi\) |
−0.592993 | + | 0.805207i | \(0.702054\pi\) | |||||||
\(678\) | 12540.5 | + | 12540.5i | 0.710347 | + | 0.710347i | ||||
\(679\) | 25369.8 | + | 21382.5i | 1.43388 | + | 1.20852i | ||||
\(680\) | −2205.37 | − | 17899.4i | −0.124371 | − | 1.00943i | ||||
\(681\) | −5372.53 | − | 9305.49i | −0.302314 | − | 0.523623i | ||||
\(682\) | −4237.29 | − | 15813.8i | −0.237910 | − | 0.887890i | ||||
\(683\) | 1586.44 | + | 5920.69i | 0.0888779 | + | 0.331697i | 0.996020 | − | 0.0891270i | \(-0.0284077\pi\) |
−0.907142 | + | 0.420824i | \(0.861741\pi\) | |||||||
\(684\) | 4671.05 | + | 8090.50i | 0.261114 | + | 0.452263i | ||||
\(685\) | −7725.19 | − | 6030.38i | −0.430897 | − | 0.336363i | ||||
\(686\) | −28720.2 | − | 188.411i | −1.59846 | − | 0.0104862i | ||||
\(687\) | 3061.52 | + | 3061.52i | 0.170021 | + | 0.170021i | ||||
\(688\) | −375.184 | − | 100.530i | −0.0207904 | − | 0.00557076i | ||||
\(689\) | 13843.2 | − | 23977.2i | 0.765436 | − | 1.32577i | ||||
\(690\) | 7394.89 | − | 2991.33i | 0.407998 | − | 0.165040i | ||||
\(691\) | −5833.87 | + | 3368.18i | −0.321173 | + | 0.185429i | −0.651915 | − | 0.758292i | \(-0.726034\pi\) |
0.330742 | + | 0.943721i | \(0.392701\pi\) | |||||||
\(692\) | −14689.7 | + | 14689.7i | −0.806965 | + | 0.806965i | ||||
\(693\) | −6412.11 | + | 546.861i | −0.351480 | + | 0.0299762i | ||||
\(694\) | − | 9216.84i | − | 0.504130i | ||||||
\(695\) | −9299.82 | − | 12330.5i | −0.507571 | − | 0.672984i | ||||
\(696\) | 4352.70 | + | 2513.03i | 0.237053 | + | 0.136862i | ||||
\(697\) | 32041.4 | − | 8585.46i | 1.74125 | − | 0.466568i | ||||
\(698\) | 892.094 | − | 3329.34i | 0.0483757 | − | 0.180541i | ||||
\(699\) | −16959.2 | −0.917675 | ||||||||
\(700\) | −21711.8 | − | 18925.3i | −1.17233 | − | 1.02187i | ||||
\(701\) | 19829.6 | 1.06841 | 0.534205 | − | 0.845355i | \(-0.320611\pi\) | ||||
0.534205 | + | 0.845355i | \(0.320611\pi\) | |||||||
\(702\) | 1540.65 | − | 5749.79i | 0.0828321 | − | 0.309134i | ||||
\(703\) | −13147.9 | + | 3522.97i | −0.705381 | + | 0.189006i | ||||
\(704\) | 27921.8 | + | 16120.7i | 1.49480 | + | 0.863026i | ||||
\(705\) | 8498.94 | + | 11268.7i | 0.454026 | + | 0.601989i | ||||
\(706\) | 1493.59i | 0.0796204i | ||||||||
\(707\) | −3018.57 | + | 6436.56i | −0.160573 | + | 0.342393i | ||||
\(708\) | −14789.6 | + | 14789.6i | −0.785065 | + | 0.785065i | ||||
\(709\) | −3288.67 | + | 1898.71i | −0.174201 | + | 0.100575i | −0.584565 | − | 0.811347i | \(-0.698735\pi\) |
0.410364 | + | 0.911922i | \(0.365402\pi\) | |||||||
\(710\) | −34584.1 | + | 13989.7i | −1.82805 | + | 0.739470i | ||||
\(711\) | −795.682 | + | 1378.16i | −0.0419696 | + | 0.0726935i | ||||
\(712\) | 18977.6 | + | 5085.04i | 0.998900 | + | 0.267654i | ||||
\(713\) | −3488.55 | − | 3488.55i | −0.183236 | − | 0.183236i | ||||
\(714\) | 6860.21 | + | 18977.3i | 0.359576 | + | 0.994688i | ||||
\(715\) | 16592.2 | + | 12952.0i | 0.867848 | + | 0.677453i | ||||
\(716\) | −7539.24 | − | 13058.3i | −0.393512 | − | 0.681583i | ||||
\(717\) | 2996.15 | + | 11181.8i | 0.156057 | + | 0.582414i | ||||
\(718\) | 11276.6 | + | 42085.0i | 0.586129 | + | 2.18746i | ||||
\(719\) | −8770.35 | − | 15190.7i | −0.454908 | − | 0.787923i | 0.543775 | − | 0.839231i | \(-0.316994\pi\) |
−0.998683 | + | 0.0513075i | \(0.983661\pi\) | |||||||
\(720\) | 107.576 | + | 873.116i | 0.00556822 | + | 0.0451932i | ||||
\(721\) | −10902.8 | − | 1947.04i | −0.563163 | − | 0.100571i | ||||
\(722\) | −325.788 | − | 325.788i | −0.0167930 | − | 0.0167930i | ||||
\(723\) | −3738.70 | − | 1001.78i | −0.192315 | − | 0.0515307i | ||||
\(724\) | −19090.4 | + | 33065.5i | −0.979956 | + | 1.69733i | ||||
\(725\) | −10027.4 | − | 2866.23i | −0.513665 | − | 0.146826i | ||||
\(726\) | 1875.08 | − | 1082.58i | 0.0958552 | − | 0.0553420i | ||||
\(727\) | 3993.19 | − | 3993.19i | 0.203713 | − | 0.203713i | −0.597876 | − | 0.801589i | \(-0.703988\pi\) |
0.801589 | + | 0.597876i | \(0.203988\pi\) | |||||||
\(728\) | 1541.04 | + | 18069.2i | 0.0784543 | + | 0.919900i | ||||
\(729\) | − | 729.000i | − | 0.0370370i | ||||||
\(730\) | 25429.3 | − | 19179.0i | 1.28929 | − | 0.972394i | ||||
\(731\) | 3090.76 | + | 1784.45i | 0.156383 | + | 0.0902878i | ||||
\(732\) | −8509.06 | + | 2280.00i | −0.429650 | + | 0.115124i | ||||
\(733\) | 3105.65 | − | 11590.4i | 0.156494 | − | 0.584042i | −0.842479 | − | 0.538729i | \(-0.818905\pi\) |
0.998973 | − | 0.0453132i | \(-0.0144286\pi\) | |||||||
\(734\) | 16958.6 | 0.852796 | ||||||||
\(735\) | 10136.5 | + | 5441.20i | 0.508694 | + | 0.273064i | ||||
\(736\) | 10529.6 | 0.527344 | ||||||||
\(737\) | 9898.20 | − | 36940.6i | 0.494715 | − | 1.84630i | ||||
\(738\) | 16230.4 | − | 4348.92i | 0.809551 | − | 0.216919i | ||||
\(739\) | −15999.3 | − | 9237.22i | −0.796407 | − | 0.459806i | 0.0458061 | − | 0.998950i | \(-0.485414\pi\) |
−0.842213 | + | 0.539144i | \(0.818748\pi\) | |||||||
\(740\) | 22474.1 | + | 3148.95i | 1.11644 | + | 0.156429i | ||||
\(741\) | 12205.1i | 0.605084i | ||||||||
\(742\) | 4040.02 | + | 47370.4i | 0.199884 | + | 2.34370i | ||||
\(743\) | −9256.44 | + | 9256.44i | −0.457047 | + | 0.457047i | −0.897685 | − | 0.440638i | \(-0.854752\pi\) |
0.440638 | + | 0.897685i | \(0.354752\pi\) | |||||||
\(744\) | −4893.05 | + | 2825.00i | −0.241113 | + | 0.139206i | ||||
\(745\) | 14095.1 | + | 5976.06i | 0.693161 | + | 0.293887i | ||||
\(746\) | 13380.1 | − | 23174.9i | 0.656674 | − | 1.13739i | ||||
\(747\) | 8758.47 | + | 2346.83i | 0.428990 | + | 0.114948i | ||||
\(748\) | −27284.7 | − | 27284.7i | −1.33373 | − | 1.33373i | ||||
\(749\) | 31010.3 | + | 5537.89i | 1.51280 | + | 0.270160i | ||||
\(750\) | 6815.35 | + | 17688.2i | 0.331815 | + | 0.861176i | ||||
\(751\) | −8451.47 | − | 14638.4i | −0.410650 | − | 0.711267i | 0.584311 | − | 0.811530i | \(-0.301365\pi\) |
−0.994961 | + | 0.100263i | \(0.968032\pi\) | |||||||
\(752\) | 952.197 | + | 3553.65i | 0.0461743 | + | 0.172325i | ||||
\(753\) | −2170.72 | − | 8101.22i | −0.105054 | − | 0.392065i | ||||
\(754\) | 9196.99 | + | 15929.6i | 0.444210 | + | 0.769395i | ||||
\(755\) | −33406.2 | + | 4115.95i | −1.61030 | + | 0.198404i | ||||
\(756\) | 2115.02 | + | 5850.74i | 0.101749 | + | 0.281467i | ||||
\(757\) | −26269.9 | − | 26269.9i | −1.26129 | − | 1.26129i | −0.950470 | − | 0.310817i | \(-0.899397\pi\) |
−0.310817 | − | 0.950470i | \(-0.600603\pi\) | |||||||
\(758\) | −41372.2 | − | 11085.7i | −1.98246 | − | 0.531199i | ||||
\(759\) | 3046.38 | − | 5276.48i | 0.145687 | − | 0.252337i | ||||
\(760\) | 7024.06 | + | 17364.2i | 0.335249 | + | 0.828773i | ||||
\(761\) | 11373.1 | − | 6566.28i | 0.541755 | − | 0.312782i | −0.204035 | − | 0.978964i | \(-0.565406\pi\) |
0.745790 | + | 0.666181i | \(0.232072\pi\) | |||||||
\(762\) | −4827.43 | + | 4827.43i | −0.229500 | + | 0.229500i | ||||
\(763\) | −5903.38 | + | 12587.9i | −0.280101 | + | 0.597264i | ||||
\(764\) | − | 4686.93i | − | 0.221946i | ||||||
\(765\) | 1121.60 | − | 8004.90i | 0.0530086 | − | 0.378324i | ||||
\(766\) | 10040.7 | + | 5797.03i | 0.473612 | + | 0.273440i | ||||
\(767\) | −26394.5 | + | 7072.37i | −1.24257 | + | 0.332945i | ||||
\(768\) | 2445.37 | − | 9126.24i | 0.114895 | − | 0.428795i | ||||
\(769\) | 5269.42 | 0.247100 | 0.123550 | − | 0.992338i | \(-0.460572\pi\) | ||||
0.123550 | + | 0.992338i | \(0.460572\pi\) | |||||||
\(770\) | −36091.6 | − | 1955.48i | −1.68916 | − | 0.0915205i | ||||
\(771\) | 10747.9 | 0.502046 | ||||||||
\(772\) | −5968.57 | + | 22275.0i | −0.278256 | + | 1.03847i | ||||
\(773\) | −13883.2 | + | 3719.98i | −0.645980 | + | 0.173090i | −0.566911 | − | 0.823779i | \(-0.691862\pi\) |
−0.0790693 | + | 0.996869i | \(0.525195\pi\) | |||||||
\(774\) | 1565.61 | + | 903.905i | 0.0727062 | + | 0.0419770i | ||||
\(775\) | 8426.46 | − | 8150.97i | 0.390564 | − | 0.377795i | ||||
\(776\) | 35974.1i | 1.66417i | ||||||||
\(777\) | −9031.81 | + | 770.284i | −0.417007 | + | 0.0355647i | ||||
\(778\) | −39810.2 | + | 39810.2i | −1.83453 | + | 1.83453i | ||||
\(779\) | −29836.7 | + | 17226.2i | −1.37229 | + | 0.792289i | ||||
\(780\) | 7943.00 | − | 18734.3i | 0.364622 | − | 0.859995i | ||||
\(781\) | −14247.2 | + | 24676.8i | −0.652757 | + | 1.13061i | ||||
\(782\) | −18453.8 | − | 4944.69i | −0.843872 | − | 0.226115i | ||||
\(783\) | 1592.87 | + | 1592.87i | 0.0727005 | + | 0.0727005i | ||||
\(784\) | 1917.49 | + | 2305.58i | 0.0873494 | + | 0.105028i | ||||
\(785\) | 5146.10 | − | 6592.39i | 0.233977 | − | 0.299736i | ||||
\(786\) | −1547.81 | − | 2680.88i | −0.0702397 | − | 0.121659i | ||||
\(787\) | 6639.77 | + | 24780.0i | 0.300740 | + | 1.12238i | 0.936551 | + | 0.350532i | \(0.113999\pi\) |
−0.635811 | + | 0.771845i | \(0.719334\pi\) | |||||||
\(788\) | 8871.85 | + | 33110.2i | 0.401074 | + | 1.49683i | ||||
\(789\) | 9041.18 | + | 15659.8i | 0.407952 | + | 0.706594i | ||||
\(790\) | −5499.80 | + | 7045.49i | −0.247689 | + | 0.317301i | ||||
\(791\) | −18516.4 | − | 15606.2i | −0.832321 | − | 0.701508i | ||||
\(792\) | −4933.87 | − | 4933.87i | −0.221361 | − | 0.221361i | ||||
\(793\) | −11116.8 | − | 2978.74i | −0.497817 | − | 0.133390i | ||||
\(794\) | 30989.2 | − | 53674.8i | 1.38509 | − | 2.39905i | ||||
\(795\) | 7433.69 | − | 17533.1i | 0.331630 | − | 0.782181i | ||||
\(796\) | −55628.0 | + | 32116.9i | −2.47699 | + | 1.43009i | ||||
\(797\) | −5875.40 | + | 5875.40i | −0.261126 | + | 0.261126i | −0.825511 | − | 0.564385i | \(-0.809113\pi\) |
0.564385 | + | 0.825511i | \(0.309113\pi\) | |||||||
\(798\) | −11983.6 | − | 17194.3i | −0.531599 | − | 0.762746i | ||||
\(799\) | − | 33803.7i | − | 1.49673i | ||||||
\(800\) | −415.756 | + | 25018.1i | −0.0183740 | + | 1.10565i | ||||
\(801\) | 7625.98 | + | 4402.86i | 0.336393 | + | 0.194217i | ||||
\(802\) | −8349.44 | + | 2237.23i | −0.367617 | + | 0.0985027i | ||||
\(803\) | 6296.41 | − | 23498.5i | 0.276707 | − | 1.03268i | ||||
\(804\) | −36971.4 | −1.62174 | ||||||||
\(805\) | −9713.61 | + | 4927.72i | −0.425292 | + | 0.215751i | ||||
\(806\) | −20677.4 | −0.903636 | ||||||||
\(807\) | 5072.54 | − | 18931.0i | 0.221266 | − | 0.825777i | ||||
\(808\) | −7445.51 | + | 1995.02i | −0.324174 | + | 0.0868620i | ||||
\(809\) | −1934.15 | − | 1116.68i | −0.0840556 | − | 0.0485295i | 0.457383 | − | 0.889270i | \(-0.348787\pi\) |
−0.541439 | + | 0.840740i | \(0.682120\pi\) | |||||||
\(810\) | 568.141 | − | 4054.84i | 0.0246450 | − | 0.175892i | ||||
\(811\) | 7079.14i | 0.306513i | 0.988186 | + | 0.153257i | \(0.0489761\pi\) | ||||
−0.988186 | + | 0.153257i | \(0.951024\pi\) | |||||||
\(812\) | −17405.2 | − | 8162.57i | −0.752221 | − | 0.352771i | ||||
\(813\) | 3430.15 | − | 3430.15i | 0.147971 | − | 0.147971i | ||||
\(814\) | 24663.3 | − | 14239.4i | 1.06198 | − | 0.613132i | ||||
\(815\) | −12551.0 | − | 31027.5i | −0.539439 | − | 1.33355i | ||||
\(816\) | 1053.46 | − | 1824.65i | 0.0451942 | − | 0.0782786i | ||||
\(817\) | −3580.40 | − | 959.365i | −0.153320 | − | 0.0410819i | ||||
\(818\) | −38683.9 | − | 38683.9i | −1.65349 | − | 1.65349i | ||||
\(819\) | −1428.90 | + | 8001.32i | −0.0609642 | + | 0.341378i | ||||
\(820\) | 57008.5 | − | 7023.98i | 2.42783 | − | 0.299132i | ||||
\(821\) | −21268.7 | − | 36838.5i | −0.904120 | − | 1.56598i | −0.822094 | − | 0.569352i | \(-0.807194\pi\) |
−0.0820268 | − | 0.996630i | \(-0.526139\pi\) | |||||||
\(822\) | 3077.18 | + | 11484.2i | 0.130571 | + | 0.487296i | ||||
\(823\) | 6978.20 | + | 26043.0i | 0.295559 | + | 1.10304i | 0.940773 | + | 0.339038i | \(0.110102\pi\) |
−0.645214 | + | 0.764002i | \(0.723232\pi\) | |||||||
\(824\) | −6004.16 | − | 10399.5i | −0.253841 | − | 0.439665i | ||||
\(825\) | 12416.5 | + | 7446.47i | 0.523985 | + | 0.314246i | ||||
\(826\) | 30239.8 | − | 35878.8i | 1.27382 | − | 1.51136i | ||||
\(827\) | −18899.7 | − | 18899.7i | −0.794688 | − | 0.794688i | 0.187565 | − | 0.982252i | \(-0.439941\pi\) |
−0.982252 | + | 0.187565i | \(0.939941\pi\) | |||||||
\(828\) | −5689.36 | − | 1524.46i | −0.238791 | − | 0.0639838i | ||||
\(829\) | 4710.37 | − | 8158.59i | 0.197344 | − | 0.341809i | −0.750323 | − | 0.661072i | \(-0.770102\pi\) |
0.947666 | + | 0.319263i | \(0.103435\pi\) | |||||||
\(830\) | 46887.3 | + | 19879.4i | 1.96082 | + | 0.831352i | ||||
\(831\) | −5362.64 | + | 3096.12i | −0.223860 | + | 0.129246i | ||||
\(832\) | 28794.0 | − | 28794.0i | 1.19982 | − | 1.19982i | ||||
\(833\) | −11535.2 | − | 25022.5i | −0.479798 | − | 1.04079i | ||||
\(834\) | 18736.7i | 0.777934i | ||||||||
\(835\) | −2936.38 | − | 411.429i | −0.121698 | − | 0.0170516i | ||||
\(836\) | 34707.1 | + | 20038.1i | 1.43585 | + | 0.828987i | ||||
\(837\) | −2446.02 | + | 655.408i | −0.101012 | + | 0.0270660i | ||||
\(838\) | 4274.36 | − | 15952.1i | 0.176200 | − | 0.657586i | ||||
\(839\) | 9642.92 | 0.396795 | 0.198397 | − | 0.980122i | \(-0.436426\pi\) | ||||
0.198397 | + | 0.980122i | \(0.436426\pi\) | |||||||
\(840\) | 2571.87 | + | 12205.8i | 0.105640 | + | 0.501357i | ||||
\(841\) | 17428.1 | 0.714590 | ||||||||
\(842\) | −18615.9 | + | 69475.6i | −0.761933 | + | 2.84357i | ||||
\(843\) | −4948.39 | + | 1325.92i | −0.202173 | + | 0.0541720i | ||||
\(844\) | −14180.4 | − | 8187.07i | −0.578330 | − | 0.333899i | ||||
\(845\) | 1613.98 | − | 1217.28i | 0.0657073 | − | 0.0495571i | ||||
\(846\) | − | 17123.1i | − | 0.695868i | ||||||
\(847\) | −2425.43 | + | 1690.41i | −0.0983928 | + | 0.0685752i | ||||
\(848\) | 3510.02 | − | 3510.02i | 0.142140 | − | 0.142140i | ||||
\(849\) | 8935.32 | − | 5158.81i | 0.361201 | − | 0.208539i | ||||
\(850\) | 12477.1 | − | 43650.7i | 0.503485 | − | 1.76142i | ||||
\(851\) | 4290.99 | − | 7432.22i | 0.172848 | − | 0.299381i | ||||
\(852\) | 26607.7 | + | 7129.52i | 1.06991 | + | 0.286682i | ||||
\(853\) | −897.027 | − | 897.027i | −0.0360066 | − | 0.0360066i | 0.688874 | − | 0.724881i | \(-0.258105\pi\) |
−0.724881 | + | 0.688874i | \(0.758105\pi\) | |||||||
\(854\) | 18585.7 | − | 6718.67i | 0.744720 | − | 0.269213i | ||||
\(855\) | 1026.60 | + | 8332.18i | 0.0410632 | + | 0.333280i | ||||
\(856\) | 17077.4 | + | 29578.9i | 0.681884 | + | 1.18106i | ||||
\(857\) | 8415.12 | + | 31405.7i | 0.335420 | + | 1.25181i | 0.903413 | + | 0.428772i | \(0.141054\pi\) |
−0.567993 | + | 0.823034i | \(0.692280\pi\) | |||||||
\(858\) | −6609.17 | − | 24665.7i | −0.262976 | − | 0.981439i | ||||
\(859\) | 6852.51 | + | 11868.9i | 0.272182 | + | 0.471434i | 0.969420 | − | 0.245406i | \(-0.0789212\pi\) |
−0.697238 | + | 0.716840i | \(0.745588\pi\) | |||||||
\(860\) | 4871.39 | + | 3802.67i | 0.193155 | + | 0.150779i | ||||
\(861\) | −21576.7 | + | 7799.90i | −0.854046 | + | 0.308734i | ||||
\(862\) | −28922.4 | − | 28922.4i | −1.14281 | − | 1.14281i | ||||
\(863\) | 21779.0 | + | 5835.67i | 0.859057 | + | 0.230184i | 0.661350 | − | 0.750078i | \(-0.269984\pi\) |
0.197707 | + | 0.980261i | \(0.436651\pi\) | |||||||
\(864\) | 2702.32 | − | 4680.56i | 0.106406 | − | 0.184301i | ||||
\(865\) | −17306.4 | + | 7000.67i | −0.680272 | + | 0.275179i | ||||
\(866\) | 21699.3 | − | 12528.1i | 0.851471 | − | 0.491597i | ||||
\(867\) | −3266.81 | + | 3266.81i | −0.127966 | + | 0.127966i | ||||
\(868\) | 17729.5 | − | 12356.6i | 0.693293 | − | 0.483193i | ||||
\(869\) | 6826.72i | 0.266491i | ||||||||
\(870\) | 7618.45 | + | 10101.2i | 0.296885 | + | 0.393637i | ||||
\(871\) | −41830.7 | − | 24150.9i | −1.62730 | − | 0.939522i | ||||
\(872\) | −14561.1 | + | 3901.63i | −0.565483 | + | 0.151521i | ||||
\(873\) | −4173.05 | + | 15574.0i | −0.161783 | + | 0.603781i | ||||
\(874\) | 19842.5 | 0.767942 | ||||||||
\(875\) | −11324.6 | − | 23273.9i | −0.437533 | − | 0.899202i | ||||
\(876\) | −23518.1 | −0.907082 | ||||||||
\(877\) | −3432.61 | + | 12810.7i | −0.132168 | + | 0.493257i | −0.999993 | − | 0.00361194i | \(-0.998850\pi\) |
0.867826 | + | 0.496869i | \(0.165517\pi\) | |||||||
\(878\) | 28135.3 | − | 7538.83i | 1.08146 | − | 0.289776i | ||||
\(879\) | −13585.9 | − | 7843.84i | −0.521322 | − | 0.300985i | ||||
\(880\) | 2272.43 | + | 3012.99i | 0.0870495 | + | 0.115418i | ||||
\(881\) | − | 8865.99i | − | 0.339050i | −0.985526 | − | 0.169525i | \(-0.945777\pi\) | ||
0.985526 | − | 0.169525i | \(-0.0542233\pi\) | |||||||
\(882\) | −5843.10 | − | 12675.0i | −0.223070 | − | 0.483889i | ||||
\(883\) | 16117.3 | − | 16117.3i | 0.614260 | − | 0.614260i | −0.329793 | − | 0.944053i | \(-0.606979\pi\) |
0.944053 | + | 0.329793i | \(0.106979\pi\) | |||||||
\(884\) | −42205.5 | + | 24367.4i | −1.60580 | + | 0.927108i | ||||
\(885\) | −17424.0 | + | 7048.25i | −0.661811 | + | 0.267711i | ||||
\(886\) | 18532.2 | − | 32098.7i | 0.702711 | − | 1.21713i | ||||
\(887\) | −7962.66 | − | 2133.59i | −0.301420 | − | 0.0807654i | 0.104939 | − | 0.994479i | \(-0.466535\pi\) |
−0.406359 | + | 0.913713i | \(0.633202\pi\) | |||||||
\(888\) | −6949.64 | − | 6949.64i | −0.262629 | − | 0.262629i | ||||
\(889\) | 6007.56 | − | 7127.82i | 0.226645 | − | 0.268908i | ||||
\(890\) | 38985.9 | + | 30432.8i | 1.46832 | + | 1.14619i | ||||
\(891\) | −1563.65 | − | 2708.32i | −0.0587927 | − | 0.101832i | ||||
\(892\) | −10758.4 | − | 40150.9i | −0.403832 | − | 1.50712i | ||||
\(893\) | 9086.85 | + | 33912.6i | 0.340515 | + | 1.27082i | ||||
\(894\) | −9286.60 | − | 16084.9i | −0.347417 | − | 0.601743i | ||||
\(895\) | −1656.97 | − | 13448.4i | −0.0618842 | − | 0.502270i | ||||
\(896\) | −7078.94 | + | 39639.6i | −0.263941 | + | 1.47798i | ||||
\(897\) | −5441.30 | − | 5441.30i | −0.202541 | − | 0.202541i | ||||
\(898\) | 39398.2 | + | 10556.7i | 1.46407 | + | 0.392296i | ||||
\(899\) | 3912.49 | − | 6776.63i | 0.145149 | − | 0.251405i | ||||
\(900\) | 3846.72 | − | 13457.6i | 0.142471 | − | 0.498430i | ||||
\(901\) | −39499.3 | + | 22804.9i | −1.46050 | + | 0.843222i | ||||
\(902\) | 50969.7 | − | 50969.7i | 1.88149 | − | 1.88149i | ||||
\(903\) | −2234.88 | − | 1048.10i | −0.0823613 | − | 0.0386252i | ||||
\(904\) | − | 26256.0i | − | 0.965998i | ||||||
\(905\) | −27393.1 | + | 20660.2i | −1.00616 | + | 0.758859i | ||||
\(906\) | 35363.2 | + | 20416.9i | 1.29676 | + | 0.748683i | ||||
\(907\) | 47960.8 | − | 12851.1i | 1.75580 | − | 0.470466i | 0.769952 | − | 0.638101i | \(-0.220280\pi\) |
0.985849 | + | 0.167636i | \(0.0536133\pi\) | |||||||
\(908\) | −11533.3 | + | 43042.8i | −0.421526 | + | 1.57316i | ||||
\(909\) | −3454.76 | −0.126058 | ||||||||
\(910\) | −14183.6 | + | 43391.3i | −0.516682 | + | 1.58067i | ||||
\(911\) | 13361.9 | 0.485949 | 0.242974 | − | 0.970033i | \(-0.421877\pi\) | ||||
0.242974 | + | 0.970033i | \(0.421877\pi\) | |||||||
\(912\) | −566.365 | + | 2113.70i | −0.0205638 | + | 0.0767453i | ||||
\(913\) | 37572.6 | − | 10067.5i | 1.36196 | − | 0.364936i | ||||
\(914\) | 12195.6 | + | 7041.10i | 0.441349 | + | 0.254813i | ||||
\(915\) | −7839.74 | − | 1098.46i | −0.283250 | − | 0.0396874i | ||||
\(916\) | − | 17955.6i | − | 0.647675i | ||||||
\(917\) | 2416.85 | + | 3467.73i | 0.0870352 | + | 0.124879i | ||||
\(918\) | −6934.01 | + | 6934.01i | −0.249299 | + | 0.249299i | ||||
\(919\) | −20340.6 | + | 11743.7i | −0.730115 | + | 0.421532i | −0.818464 | − | 0.574557i | \(-0.805174\pi\) |
0.0883490 | + | 0.996090i | \(0.471841\pi\) | |||||||
\(920\) | −10872.8 | − | 4609.86i | −0.389636 | − | 0.165198i | ||||
\(921\) | −14462.2 | + | 25049.3i | −0.517423 | + | 0.896203i | ||||
\(922\) | −4614.66 | − | 1236.49i | −0.164833 | − | 0.0441668i | ||||
\(923\) | 25447.6 | + | 25447.6i | 0.907496 | + | 0.907496i | ||||
\(924\) | 20406.9 | + | 17199.6i | 0.726557 | + | 0.612366i | ||||
\(925\) | 17489.4 | + | 10488.8i | 0.621672 | + | 0.372831i | ||||
\(926\) | 15291.3 | + | 26485.2i | 0.542659 | + | 0.939913i | ||||
\(927\) | −1392.98 | − | 5198.68i | −0.0493544 | − | 0.184193i | ||||
\(928\) | 4322.46 | + | 16131.6i | 0.152901 | + | 0.570633i | ||||
\(929\) | −7462.40 | − | 12925.3i | −0.263545 | − | 0.456474i | 0.703636 | − | 0.710560i | \(-0.251558\pi\) |
−0.967181 | + | 0.254087i | \(0.918225\pi\) | |||||||
\(930\) | −14116.0 | + | 1739.22i | −0.497723 | + | 0.0613240i | ||||
\(931\) | 18298.7 | + | 22002.3i | 0.644164 | + | 0.774539i | ||||
\(932\) | 49732.2 | + | 49732.2i | 1.74789 | + | 1.74789i | ||||
\(933\) | 3927.74 | + | 1052.43i | 0.137822 | + | 0.0369294i | ||||
\(934\) | −22871.4 | + | 39614.5i | −0.801259 | + | 1.38782i | ||||
\(935\) | −13003.0 | − | 32144.9i | −0.454808 | − | 1.12433i | ||||
\(936\) | −7631.99 | + | 4406.33i | −0.266516 | + | 0.153873i | ||||
\(937\) | 13442.5 | − | 13442.5i | 0.468672 | − | 0.468672i | −0.432812 | − | 0.901484i | \(-0.642479\pi\) |
0.901484 | + | 0.432812i | \(0.142479\pi\) | |||||||
\(938\) | 82642.6 | − | 7048.22i | 2.87673 | − | 0.245344i | ||||
\(939\) | − | 17744.5i | − | 0.616689i | ||||||
\(940\) | 8122.12 | − | 57967.8i | 0.281824 | − | 2.01139i | ||||
\(941\) | −3195.47 | − | 1844.90i | −0.110701 | − | 0.0639130i | 0.443627 | − | 0.896211i | \(-0.353691\pi\) |
−0.554328 | + | 0.832298i | \(0.687025\pi\) | |||||||
\(942\) | −9800.19 | + | 2625.95i | −0.338968 | + | 0.0908261i | ||||
\(943\) | 5622.00 | − | 20981.6i | 0.194144 | − | 0.724554i | ||||
\(944\) | −4899.21 | −0.168915 | ||||||||
\(945\) | −302.467 | + | 5582.51i | −0.0104119 | + | 0.192168i | ||||
\(946\) | 7755.23 | 0.266537 | ||||||||
\(947\) | −12206.7 | + | 45555.9i | −0.418863 | + | 1.56322i | 0.358106 | + | 0.933681i | \(0.383423\pi\) |
−0.776969 | + | 0.629538i | \(0.783244\pi\) | |||||||
\(948\) | 6374.73 | − | 1708.10i | 0.218398 | − | 0.0585196i | ||||
\(949\) | −26609.2 | − | 15362.8i | −0.910191 | − | 0.525499i | ||||
\(950\) | −783.471 | + | 47145.3i | −0.0267570 | + | 1.61010i | ||||
\(951\) | 17494.5i | 0.596528i | ||||||||
\(952\) | 12684.8 | − | 27048.0i | 0.431844 | − | 0.920829i | ||||
\(953\) | −24250.5 | + | 24250.5i | −0.824294 | + | 0.824294i | −0.986721 | − | 0.162426i | \(-0.948068\pi\) |
0.162426 | + | 0.986721i | \(0.448068\pi\) | |||||||
\(954\) | −20008.2 | + | 11551.7i | −0.679023 | + | 0.392034i | ||||
\(955\) | 1644.08 | − | 3877.73i | 0.0557081 | − | 0.131393i | ||||
\(956\) | 24004.1 | − | 41576.3i | 0.812079 | − | 1.40656i | ||||
\(957\) | 9334.29 | + | 2501.11i | 0.315292 | + | 0.0844823i | ||||
\(958\) | −7558.02 | − | 7558.02i | −0.254894 | − | 0.254894i | ||||
\(959\) | −5519.01 | − | 15267.1i | −0.185837 | − | 0.514079i | ||||
\(960\) | 17235.1 | − | 22078.9i | 0.579438 | − | 0.742286i | ||||
\(961\) | −10497.3 | − | 18181.9i | −0.352365 | − | 0.610314i | ||||
\(962\) | −9309.38 | − | 34743.1i | −0.312003 | − | 1.16441i | ||||
\(963\) | 3962.00 | + | 14786.4i | 0.132579 | + | 0.494792i | ||||
\(964\) | 8025.93 | + | 13901.3i | 0.268151 | + | 0.464451i | ||||
\(965\) | −12751.7 | + | 16335.6i | −0.425381 | + | 0.544933i | ||||
\(966\) | 13008.1 | + | 2323.02i | 0.433260 | + | 0.0773726i | ||||
\(967\) | 9621.23 | + | 9621.23i | 0.319956 | + | 0.319956i | 0.848750 | − | 0.528794i | \(-0.177356\pi\) |
−0.528794 | + | 0.848750i | \(0.677356\pi\) | |||||||
\(968\) | −3096.23 | − | 829.632i | −0.102806 | − | 0.0275469i | ||||
\(969\) | 10053.2 | − | 17412.7i | 0.333287 | − | 0.577271i | ||||
\(970\) | −35348.8 | + | 83373.5i | −1.17008 | + | 2.75975i | ||||
\(971\) | 12347.0 | − | 7128.54i | 0.408068 | − | 0.235598i | −0.281891 | − | 0.959446i | \(-0.590962\pi\) |
0.689959 | + | 0.723848i | \(0.257628\pi\) | |||||||
\(972\) | −2137.77 | + | 2137.77i | −0.0705442 | + | 0.0705442i | ||||
\(973\) | −2174.03 | − | 25491.1i | −0.0716301 | − | 0.839884i | ||||
\(974\) | 57433.5i | 1.88941i | ||||||||
\(975\) | 13143.3 | − | 12713.6i | 0.431714 | − | 0.417600i | ||||
\(976\) | −1787.00 | − | 1031.72i | −0.0586070 | − | 0.0338367i | ||||
\(977\) | 31938.1 | − | 8557.79i | 1.04584 | − | 0.280233i | 0.305311 | − | 0.952253i | \(-0.401240\pi\) |
0.740534 | + | 0.672019i | \(0.234573\pi\) | |||||||
\(978\) | −10509.2 | + | 39221.0i | −0.343608 | + | 1.28236i | ||||
\(979\) | 37775.3 | 1.23320 | ||||||||
\(980\) | −13768.8 | − | 45681.1i | −0.448804 | − | 1.48901i | ||||
\(981\) | −6756.43 | −0.219894 | ||||||||
\(982\) | 6858.54 | − | 25596.4i | 0.222877 | − | 0.831787i | ||||
\(983\) | −46820.0 | + | 12545.4i | −1.51915 | + | 0.407056i | −0.919463 | − | 0.393177i | \(-0.871376\pi\) |
−0.599689 | + | 0.800233i | \(0.704709\pi\) | |||||||
\(984\) | −21543.4 | − | 12438.1i | −0.697946 | − | 0.402959i | ||||
\(985\) | −4274.29 | + | 30505.8i | −0.138264 | + | 0.986796i | ||||
\(986\) | − | 30301.7i | − | 0.978705i | ||||||
\(987\) | 1986.80 | + | 23295.9i | 0.0640736 | + | 0.751282i | ||||
\(988\) | 35791.2 | − | 35791.2i | 1.15250 | − | 1.15250i | ||||
\(989\) | 2023.92 | − | 1168.51i | 0.0650726 | − | 0.0375697i | ||||
\(990\) | −6586.62 | − | 16282.8i | −0.211451 | − | 0.522730i | ||||
\(991\) | 5630.41 | − | 9752.16i | 0.180480 | − | 0.312601i | −0.761564 | − | 0.648090i | \(-0.775568\pi\) |
0.942044 | + | 0.335489i | \(0.108901\pi\) | |||||||
\(992\) | −18134.2 | − | 4859.05i | −0.580406 | − | 0.155519i | ||||
\(993\) | 7459.94 | + | 7459.94i | 0.238403 | + | 0.238403i | ||||
\(994\) | −60835.7 | − | 10864.2i | −1.94124 | − | 0.346671i | ||||
\(995\) | −57289.8 | + | 7058.63i | −1.82533 | + | 0.224898i | ||||
\(996\) | −18801.9 | − | 32565.9i | −0.598155 | − | 1.03603i | ||||
\(997\) | −696.688 | − | 2600.07i | −0.0221307 | − | 0.0825930i | 0.953977 | − | 0.299879i | \(-0.0969463\pi\) |
−0.976108 | + | 0.217286i | \(0.930280\pi\) | |||||||
\(998\) | −14737.9 | − | 55002.7i | −0.467456 | − | 1.74457i | ||||
\(999\) | −2202.49 | − | 3814.82i | −0.0697535 | − | 0.120817i |
(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 | 105.4.u.a.52.4 | ✓ | 96 | |
5.3 | odd | 4 | inner | 105.4.u.a.73.21 | yes | 96 | |
7.5 | odd | 6 | inner | 105.4.u.a.82.21 | yes | 96 | |
35.33 | even | 12 | inner | 105.4.u.a.103.4 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.u.a.52.4 | ✓ | 96 | 1.1 | even | 1 | trivial | |
105.4.u.a.73.21 | yes | 96 | 5.3 | odd | 4 | inner | |
105.4.u.a.82.21 | yes | 96 | 7.5 | odd | 6 | inner | |
105.4.u.a.103.4 | yes | 96 | 35.33 | even | 12 | inner |