Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,4,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), 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: | \(1.94706303019\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.4.f.a.17.6 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.325060 | − | 1.00043i | 0.114926 | − | 0.353706i | −0.877005 | − | 0.480480i | \(-0.840462\pi\) |
0.991932 | + | 0.126774i | \(0.0404623\pi\) | |||||||
\(3\) | 3.94851 | + | 3.37776i | 0.759892 | + | 0.650049i | ||||
\(4\) | 5.57694 | + | 4.05188i | 0.697117 | + | 0.506485i | ||||
\(5\) | −11.6880 | + | 3.79766i | −1.04541 | + | 0.339673i | −0.780864 | − | 0.624702i | \(-0.785221\pi\) |
−0.264542 | + | 0.964374i | \(0.585221\pi\) | |||||||
\(6\) | 4.66272 | − | 2.85225i | 0.317258 | − | 0.194071i | ||||
\(7\) | 13.1668 | − | 18.1225i | 0.710938 | − | 0.978522i | −0.288838 | − | 0.957378i | \(-0.593269\pi\) |
0.999776 | − | 0.0211444i | \(-0.00673097\pi\) | |||||||
\(8\) | 12.6746 | − | 9.20865i | 0.560144 | − | 0.406969i | ||||
\(9\) | 4.18154 | + | 26.6742i | 0.154872 | + | 0.987935i | ||||
\(10\) | 12.9275i | 0.408804i | ||||||||
\(11\) | −12.4720 | − | 34.2848i | −0.341859 | − | 0.939751i | ||||
\(12\) | 8.33435 | + | 34.8364i | 0.200493 | + | 0.838034i | ||||
\(13\) | −75.4132 | − | 24.5032i | −1.60891 | − | 0.522767i | −0.639622 | − | 0.768690i | \(-0.720909\pi\) |
−0.969289 | + | 0.245923i | \(0.920909\pi\) | |||||||
\(14\) | −13.8503 | − | 19.0633i | −0.264404 | − | 0.363921i | ||||
\(15\) | −58.9777 | − | 24.4840i | −1.01520 | − | 0.421450i | ||||
\(16\) | 11.9490 | + | 36.7752i | 0.186703 | + | 0.574612i | ||||
\(17\) | 10.2954 | + | 31.6859i | 0.146882 | + | 0.452056i | 0.997248 | − | 0.0741349i | \(-0.0236195\pi\) |
−0.850366 | + | 0.526191i | \(0.823620\pi\) | |||||||
\(18\) | 28.0450 | + | 4.48738i | 0.367237 | + | 0.0587604i | ||||
\(19\) | 21.2305 | + | 29.2213i | 0.256348 | + | 0.352833i | 0.917722 | − | 0.397224i | \(-0.130026\pi\) |
−0.661374 | + | 0.750057i | \(0.730026\pi\) | |||||||
\(20\) | −80.5708 | − | 26.1790i | −0.900809 | − | 0.292690i | ||||
\(21\) | 113.202 | − | 27.0828i | 1.17632 | − | 0.281427i | ||||
\(22\) | −38.3538 | + | 1.33276i | −0.371684 | + | 0.0129157i | ||||
\(23\) | − | 134.233i | − | 1.21693i | −0.793579 | − | 0.608467i | \(-0.791785\pi\) | ||
0.793579 | − | 0.608467i | \(-0.208215\pi\) | |||||||
\(24\) | 81.1505 | + | 6.45127i | 0.690199 | + | 0.0548692i | ||||
\(25\) | 21.0597 | − | 15.3007i | 0.168477 | − | 0.122406i | ||||
\(26\) | −49.0276 | + | 67.4808i | −0.369812 | + | 0.509002i | ||||
\(27\) | −73.5882 | + | 119.448i | −0.524520 | + | 0.851398i | ||||
\(28\) | 146.860 | − | 47.7178i | 0.991214 | − | 0.322065i | ||||
\(29\) | 87.6969 | + | 63.7155i | 0.561548 | + | 0.407989i | 0.832025 | − | 0.554738i | \(-0.187181\pi\) |
−0.270477 | + | 0.962726i | \(0.587181\pi\) | |||||||
\(30\) | −43.6660 | + | 51.0444i | −0.265743 | + | 0.310647i | ||||
\(31\) | 9.67702 | − | 29.7828i | 0.0560660 | − | 0.172553i | −0.919102 | − | 0.394019i | \(-0.871084\pi\) |
0.975168 | + | 0.221466i | \(0.0710842\pi\) | |||||||
\(32\) | 166.009 | 0.917078 | ||||||||
\(33\) | 66.5599 | − | 177.501i | 0.351109 | − | 0.936335i | ||||
\(34\) | 35.0462 | 0.176776 | ||||||||
\(35\) | −85.0699 | + | 261.818i | −0.410841 | + | 1.26444i | ||||
\(36\) | −84.7606 | + | 165.704i | −0.392410 | + | 0.767146i | ||||
\(37\) | −6.44457 | − | 4.68225i | −0.0286346 | − | 0.0208043i | 0.573376 | − | 0.819292i | \(-0.305633\pi\) |
−0.602011 | + | 0.798488i | \(0.705633\pi\) | |||||||
\(38\) | 36.1351 | − | 11.7410i | 0.154260 | − | 0.0501222i | ||||
\(39\) | −215.004 | − | 351.479i | −0.882775 | − | 1.44312i | ||||
\(40\) | −113.169 | + | 155.764i | −0.447342 | + | 0.615713i | ||||
\(41\) | −6.01493 | + | 4.37011i | −0.0229116 | + | 0.0166462i | −0.599182 | − | 0.800613i | \(-0.704507\pi\) |
0.576271 | + | 0.817259i | \(0.304507\pi\) | |||||||
\(42\) | 9.70308 | − | 122.055i | 0.0356480 | − | 0.448416i | ||||
\(43\) | 74.3056i | 0.263523i | 0.991281 | + | 0.131762i | \(0.0420633\pi\) | ||||
−0.991281 | + | 0.131762i | \(0.957937\pi\) | |||||||
\(44\) | 69.3625 | − | 241.739i | 0.237654 | − | 0.828263i | ||||
\(45\) | −150.173 | − | 295.888i | −0.497478 | − | 0.980186i | ||||
\(46\) | −134.291 | − | 43.6337i | −0.430437 | − | 0.139857i | ||||
\(47\) | 301.340 | + | 414.759i | 0.935211 | + | 1.28721i | 0.957792 | + | 0.287462i | \(0.0928116\pi\) |
−0.0225810 | + | 0.999745i | \(0.507188\pi\) | |||||||
\(48\) | −77.0368 | + | 185.568i | −0.231652 | + | 0.558009i | ||||
\(49\) | −49.0682 | − | 151.016i | −0.143056 | − | 0.440281i | ||||
\(50\) | −8.46170 | − | 26.0424i | −0.0239333 | − | 0.0736591i | ||||
\(51\) | −66.3758 | + | 159.888i | −0.182244 | + | 0.438995i | ||||
\(52\) | −321.290 | − | 442.218i | −0.856826 | − | 1.17932i | ||||
\(53\) | −327.878 | − | 106.534i | −0.849763 | − | 0.276105i | −0.148416 | − | 0.988925i | \(-0.547418\pi\) |
−0.701347 | + | 0.712820i | \(0.747418\pi\) | |||||||
\(54\) | 95.5789 | + | 112.448i | 0.240864 | + | 0.283374i | ||||
\(55\) | 275.974 | + | 353.356i | 0.676589 | + | 0.866301i | ||||
\(56\) | − | 350.944i | − | 0.837443i | ||||||
\(57\) | −14.8734 | + | 187.092i | −0.0345619 | + | 0.434754i | ||||
\(58\) | 92.2498 | − | 67.0234i | 0.208845 | − | 0.151735i | ||||
\(59\) | −344.564 | + | 474.252i | −0.760313 | + | 1.04648i | 0.236875 | + | 0.971540i | \(0.423877\pi\) |
−0.997188 | + | 0.0749404i | \(0.976123\pi\) | |||||||
\(60\) | −229.709 | − | 375.517i | −0.494254 | − | 0.807983i | ||||
\(61\) | −243.802 | + | 79.2161i | −0.511732 | + | 0.166272i | −0.553490 | − | 0.832856i | \(-0.686704\pi\) |
0.0417578 | + | 0.999128i | \(0.486704\pi\) | |||||||
\(62\) | −26.6501 | − | 19.3624i | −0.0545897 | − | 0.0396618i | ||||
\(63\) | 538.461 | + | 275.433i | 1.07682 | + | 0.550815i | ||||
\(64\) | −41.6290 | + | 128.121i | −0.0813066 | + | 0.250236i | ||||
\(65\) | 974.483 | 1.85953 | ||||||||
\(66\) | −155.942 | − | 124.287i | −0.290836 | − | 0.231799i | ||||
\(67\) | 664.138 | 1.21100 | 0.605502 | − | 0.795843i | \(-0.292972\pi\) | ||||
0.605502 | + | 0.795843i | \(0.292972\pi\) | |||||||
\(68\) | −70.9709 | + | 218.426i | −0.126566 | + | 0.389530i | ||||
\(69\) | 453.405 | − | 530.020i | 0.791067 | − | 0.924738i | ||||
\(70\) | 234.279 | + | 170.213i | 0.400023 | + | 0.290634i | ||||
\(71\) | 3.67241 | − | 1.19324i | 0.00613852 | − | 0.00199453i | −0.305946 | − | 0.952049i | \(-0.598973\pi\) |
0.312085 | + | 0.950054i | \(0.398973\pi\) | |||||||
\(72\) | 298.633 | + | 299.579i | 0.488809 | + | 0.490358i | ||||
\(73\) | 118.481 | − | 163.076i | 0.189962 | − | 0.261460i | −0.703404 | − | 0.710790i | \(-0.748337\pi\) |
0.893366 | + | 0.449331i | \(0.148337\pi\) | |||||||
\(74\) | −6.77915 | + | 4.92534i | −0.0106495 | + | 0.00773729i | ||||
\(75\) | 134.837 | + | 10.7192i | 0.207594 | + | 0.0165033i | ||||
\(76\) | 248.989i | 0.375802i | ||||||||
\(77\) | −785.542 | − | 225.396i | −1.16261 | − | 0.333588i | ||||
\(78\) | −421.520 | + | 100.845i | −0.611894 | + | 0.146391i | ||||
\(79\) | 172.844 | + | 56.1604i | 0.246158 | + | 0.0799815i | 0.429497 | − | 0.903068i | \(-0.358691\pi\) |
−0.183340 | + | 0.983050i | \(0.558691\pi\) | |||||||
\(80\) | −279.319 | − | 384.450i | −0.390360 | − | 0.537285i | ||||
\(81\) | −694.029 | + | 223.079i | −0.952029 | + | 0.306006i | ||||
\(82\) | 2.41678 | + | 7.43808i | 0.00325474 | + | 0.0100171i | ||||
\(83\) | −235.816 | − | 725.766i | −0.311857 | − | 0.959797i | −0.977029 | − | 0.213107i | \(-0.931642\pi\) |
0.665172 | − | 0.746690i | \(-0.268358\pi\) | |||||||
\(84\) | 741.059 | + | 307.644i | 0.962574 | + | 0.399603i | ||||
\(85\) | −240.664 | − | 331.246i | −0.307103 | − | 0.422690i | ||||
\(86\) | 74.3377 | + | 24.1538i | 0.0932098 | + | 0.0302857i | ||||
\(87\) | 131.057 | + | 547.800i | 0.161503 | + | 0.675061i | ||||
\(88\) | −473.795 | − | 319.697i | −0.573940 | − | 0.387271i | ||||
\(89\) | 311.998i | 0.371592i | 0.982588 | + | 0.185796i | \(0.0594864\pi\) | ||||
−0.982588 | + | 0.185796i | \(0.940514\pi\) | |||||||
\(90\) | −344.831 | + | 54.0569i | −0.403871 | + | 0.0633122i | ||||
\(91\) | −1437.01 | + | 1044.05i | −1.65538 | + | 1.20270i | ||||
\(92\) | 543.895 | − | 748.607i | 0.616359 | − | 0.848345i | ||||
\(93\) | 138.809 | − | 84.9113i | 0.154772 | − | 0.0946762i | ||||
\(94\) | 512.891 | − | 166.649i | 0.562774 | − | 0.182856i | ||||
\(95\) | −359.114 | − | 260.912i | −0.387835 | − | 0.281779i | ||||
\(96\) | 655.488 | + | 560.737i | 0.696880 | + | 0.596146i | ||||
\(97\) | 231.233 | − | 711.662i | 0.242043 | − | 0.744931i | −0.754066 | − | 0.656799i | \(-0.771910\pi\) |
0.996109 | − | 0.0881323i | \(-0.0280898\pi\) | |||||||
\(98\) | −167.032 | −0.172171 | ||||||||
\(99\) | 862.369 | − | 476.044i | 0.875468 | − | 0.483275i | ||||
\(100\) | 179.445 | 0.179445 | ||||||||
\(101\) | 94.9730 | − | 292.297i | 0.0935660 | − | 0.287966i | −0.893311 | − | 0.449438i | \(-0.851624\pi\) |
0.986877 | + | 0.161472i | \(0.0516241\pi\) | |||||||
\(102\) | 138.381 | + | 118.378i | 0.134331 | + | 0.114913i | ||||
\(103\) | −626.142 | − | 454.918i | −0.598986 | − | 0.435189i | 0.246533 | − | 0.969134i | \(-0.420709\pi\) |
−0.845519 | + | 0.533946i | \(0.820709\pi\) | |||||||
\(104\) | −1181.47 | + | 383.884i | −1.11397 | + | 0.361952i | ||||
\(105\) | −1220.26 | + | 746.448i | −1.13414 | + | 0.693770i | ||||
\(106\) | −213.160 | + | 293.389i | −0.195320 | + | 0.268835i | ||||
\(107\) | −170.312 | + | 123.739i | −0.153875 | + | 0.111797i | −0.662059 | − | 0.749452i | \(-0.730317\pi\) |
0.508183 | + | 0.861249i | \(0.330317\pi\) | |||||||
\(108\) | −894.385 | + | 367.982i | −0.796872 | + | 0.327862i | ||||
\(109\) | − | 1647.31i | − | 1.44756i | −0.690030 | − | 0.723780i | \(-0.742403\pi\) | ||
0.690030 | − | 0.723780i | \(-0.257597\pi\) | |||||||
\(110\) | 443.217 | − | 161.232i | 0.384174 | − | 0.139753i | ||||
\(111\) | −9.63097 | − | 40.2561i | −0.00823542 | − | 0.0344229i | ||||
\(112\) | 823.787 | + | 267.665i | 0.695005 | + | 0.225821i | ||||
\(113\) | 399.648 | + | 550.068i | 0.332705 | + | 0.457929i | 0.942293 | − | 0.334789i | \(-0.108665\pi\) |
−0.609588 | + | 0.792718i | \(0.708665\pi\) | |||||||
\(114\) | 182.338 | + | 75.6961i | 0.149803 | + | 0.0621894i | ||||
\(115\) | 509.770 | + | 1568.91i | 0.413359 | + | 1.27219i | ||||
\(116\) | 230.912 | + | 710.675i | 0.184825 | + | 0.568832i | ||||
\(117\) | 338.262 | − | 2114.05i | 0.267285 | − | 1.67046i | ||||
\(118\) | 362.453 | + | 498.874i | 0.282767 | + | 0.389195i | ||||
\(119\) | 709.784 | + | 230.623i | 0.546771 | + | 0.177657i | ||||
\(120\) | −972.986 | + | 232.779i | −0.740175 | + | 0.177081i | ||||
\(121\) | −1019.90 | + | 855.200i | −0.766265 | + | 0.642525i | ||||
\(122\) | 269.657i | 0.200112i | ||||||||
\(123\) | −38.5112 | − | 3.06155i | −0.0282312 | − | 0.00224431i | ||||
\(124\) | 174.645 | − | 126.887i | 0.126480 | − | 0.0918932i | ||||
\(125\) | 714.908 | − | 983.987i | 0.511547 | − | 0.704084i | ||||
\(126\) | 450.585 | − | 449.161i | 0.318581 | − | 0.317575i | ||||
\(127\) | 2124.85 | − | 690.406i | 1.48465 | − | 0.482390i | 0.549148 | − | 0.835725i | \(-0.314952\pi\) |
0.935497 | + | 0.353335i | \(0.114952\pi\) | |||||||
\(128\) | 1189.08 | + | 863.914i | 0.821097 | + | 0.596562i | ||||
\(129\) | −250.986 | + | 293.397i | −0.171303 | + | 0.200249i | ||||
\(130\) | 316.766 | − | 974.904i | 0.213709 | − | 0.657729i | ||||
\(131\) | −2011.16 | −1.34134 | −0.670671 | − | 0.741755i | \(-0.733994\pi\) | ||||
−0.670671 | + | 0.741755i | \(0.733994\pi\) | |||||||
\(132\) | 1090.42 | − | 720.222i | 0.719003 | − | 0.474903i | ||||
\(133\) | 809.100 | 0.527503 | ||||||||
\(134\) | 215.885 | − | 664.425i | 0.139176 | − | 0.428340i | ||||
\(135\) | 406.475 | − | 1675.57i | 0.259140 | − | 1.06822i | ||||
\(136\) | 422.274 | + | 306.800i | 0.266248 | + | 0.193441i | ||||
\(137\) | 2291.92 | − | 744.691i | 1.42929 | − | 0.464403i | 0.510747 | − | 0.859731i | \(-0.329369\pi\) |
0.918540 | + | 0.395328i | \(0.129369\pi\) | |||||||
\(138\) | −382.865 | − | 625.890i | −0.236171 | − | 0.386082i | ||||
\(139\) | −1103.72 | + | 1519.14i | −0.673499 | + | 0.926992i | −0.999833 | − | 0.0182626i | \(-0.994187\pi\) |
0.326334 | + | 0.945254i | \(0.394187\pi\) | |||||||
\(140\) | −1535.29 | + | 1115.45i | −0.926823 | + | 0.673377i | ||||
\(141\) | −211.108 | + | 2655.53i | −0.126089 | + | 1.58607i | ||||
\(142\) | − | 4.06187i | − | 0.00240046i | ||||||
\(143\) | 100.464 | + | 2891.13i | 0.0587498 | + | 1.69069i | ||||
\(144\) | −930.984 | + | 472.507i | −0.538764 | + | 0.273441i | ||||
\(145\) | −1266.97 | − | 411.663i | −0.725628 | − | 0.235771i | ||||
\(146\) | −124.633 | − | 171.542i | −0.0706484 | − | 0.0972391i | ||||
\(147\) | 316.350 | − | 762.031i | 0.177497 | − | 0.427559i | ||||
\(148\) | −16.9690 | − | 52.2253i | −0.00942463 | − | 0.0290060i | ||||
\(149\) | 325.187 | + | 1000.82i | 0.178794 | + | 0.550272i | 0.999786 | − | 0.0206677i | \(-0.00657919\pi\) |
−0.820992 | + | 0.570939i | \(0.806579\pi\) | |||||||
\(150\) | 54.5538 | − | 131.411i | 0.0296953 | − | 0.0715308i | ||||
\(151\) | −2013.27 | − | 2771.03i | −1.08502 | − | 1.49340i | −0.853876 | − | 0.520476i | \(-0.825754\pi\) |
−0.231140 | − | 0.972920i | \(-0.574246\pi\) | |||||||
\(152\) | 538.178 | + | 174.865i | 0.287184 | + | 0.0933117i | ||||
\(153\) | −802.147 | + | 407.117i | −0.423854 | + | 0.215121i | ||||
\(154\) | −480.842 | + | 712.614i | −0.251606 | + | 0.372884i | ||||
\(155\) | 384.851i | 0.199432i | ||||||||
\(156\) | 225.085 | − | 2831.34i | 0.115521 | − | 1.45313i | ||||
\(157\) | −86.0456 | + | 62.5158i | −0.0437400 | + | 0.0317790i | −0.609440 | − | 0.792832i | \(-0.708606\pi\) |
0.565700 | + | 0.824611i | \(0.308606\pi\) | |||||||
\(158\) | 112.369 | − | 154.663i | 0.0565799 | − | 0.0778756i | ||||
\(159\) | −934.784 | − | 1528.14i | −0.466247 | − | 0.762198i | ||||
\(160\) | −1940.31 | + | 630.444i | −0.958718 | + | 0.311506i | ||||
\(161\) | −2432.63 | − | 1767.41i | −1.19080 | − | 0.865164i | ||||
\(162\) | −2.42616 | + | 766.844i | −0.00117665 | + | 0.371907i | ||||
\(163\) | 97.2318 | − | 299.249i | 0.0467226 | − | 0.143797i | −0.924974 | − | 0.380031i | \(-0.875913\pi\) |
0.971696 | + | 0.236234i | \(0.0759132\pi\) | |||||||
\(164\) | −51.2520 | −0.0244031 | ||||||||
\(165\) | −103.861 | + | 2327.41i | −0.0490036 | + | 1.09811i | ||||
\(166\) | −802.734 | −0.375327 | ||||||||
\(167\) | 216.801 | − | 667.244i | 0.100458 | − | 0.309179i | −0.888179 | − | 0.459497i | \(-0.848030\pi\) |
0.988638 | + | 0.150318i | \(0.0480297\pi\) | |||||||
\(168\) | 1185.40 | − | 1385.71i | 0.544379 | − | 0.636367i | ||||
\(169\) | 3309.33 | + | 2404.37i | 1.50629 | + | 1.09439i | ||||
\(170\) | −409.620 | + | 133.094i | −0.184802 | + | 0.0600459i | ||||
\(171\) | −690.680 | + | 688.498i | −0.308875 | + | 0.307899i | ||||
\(172\) | −301.077 | + | 414.397i | −0.133470 | + | 0.183706i | ||||
\(173\) | 3634.63 | − | 2640.72i | 1.59732 | − | 1.16052i | 0.704904 | − | 0.709303i | \(-0.250990\pi\) |
0.892414 | − | 0.451217i | \(-0.149010\pi\) | |||||||
\(174\) | 590.639 | + | 46.9544i | 0.257334 | + | 0.0204575i | ||||
\(175\) | − | 583.115i | − | 0.251882i | ||||||
\(176\) | 1111.80 | − | 868.328i | 0.476166 | − | 0.371890i | ||||
\(177\) | −2962.42 | + | 708.737i | −1.25802 | + | 0.300972i | ||||
\(178\) | 312.133 | + | 101.418i | 0.131434 | + | 0.0427056i | ||||
\(179\) | −1276.72 | − | 1757.26i | −0.533109 | − | 0.733762i | 0.454491 | − | 0.890751i | \(-0.349821\pi\) |
−0.987600 | + | 0.156989i | \(0.949821\pi\) | |||||||
\(180\) | 361.396 | − | 2258.63i | 0.149649 | − | 0.935270i | ||||
\(181\) | 408.677 | + | 1257.78i | 0.167827 | + | 0.516518i | 0.999233 | − | 0.0391463i | \(-0.0124638\pi\) |
−0.831406 | + | 0.555665i | \(0.812464\pi\) | |||||||
\(182\) | 577.384 | + | 1777.01i | 0.235157 | + | 0.723738i | ||||
\(183\) | −1230.23 | − | 510.718i | −0.496946 | − | 0.206302i | ||||
\(184\) | −1236.10 | − | 1701.35i | −0.495254 | − | 0.681658i | ||||
\(185\) | 93.1056 | + | 30.2519i | 0.0370014 | + | 0.0120225i | ||||
\(186\) | −39.8267 | − | 166.470i | −0.0157002 | − | 0.0656247i | ||||
\(187\) | 957.942 | − | 748.162i | 0.374608 | − | 0.292572i | ||||
\(188\) | 3534.07i | 1.37100i | ||||||||
\(189\) | 1195.77 | + | 2906.34i | 0.460210 | + | 1.11855i | ||||
\(190\) | −377.759 | + | 274.458i | −0.144239 | + | 0.104796i | ||||
\(191\) | −873.603 | + | 1202.41i | −0.330951 | + | 0.455515i | −0.941771 | − | 0.336254i | \(-0.890840\pi\) |
0.610820 | + | 0.791769i | \(0.290840\pi\) | |||||||
\(192\) | −597.133 | + | 365.275i | −0.224450 | + | 0.137299i | ||||
\(193\) | 1964.89 | − | 638.433i | 0.732830 | − | 0.238111i | 0.0812532 | − | 0.996693i | \(-0.474108\pi\) |
0.651577 | + | 0.758583i | \(0.274108\pi\) | |||||||
\(194\) | −636.805 | − | 462.666i | −0.235670 | − | 0.171224i | ||||
\(195\) | 3847.76 | + | 3291.56i | 1.41305 | + | 1.20879i | ||||
\(196\) | 338.250 | − | 1041.03i | 0.123269 | − | 0.379383i | ||||
\(197\) | −5330.07 | −1.92767 | −0.963836 | − | 0.266494i | \(-0.914135\pi\) | ||||
−0.963836 | + | 0.266494i | \(0.914135\pi\) | |||||||
\(198\) | −195.928 | − | 1017.49i | −0.0703233 | − | 0.365200i | ||||
\(199\) | 1980.12 | 0.705361 | 0.352680 | − | 0.935744i | \(-0.385270\pi\) | ||||
0.352680 | + | 0.935744i | \(0.385270\pi\) | |||||||
\(200\) | 126.024 | − | 387.862i | 0.0445562 | − | 0.137130i | ||||
\(201\) | 2622.36 | + | 2243.29i | 0.920233 | + | 0.787213i | ||||
\(202\) | −261.551 | − | 190.028i | −0.0911024 | − | 0.0661897i | ||||
\(203\) | 2309.37 | − | 750.359i | 0.798452 | − | 0.259433i | ||||
\(204\) | −1018.02 | + | 622.736i | −0.349390 | + | 0.213727i | ||||
\(205\) | 53.7063 | − | 73.9204i | 0.0182976 | − | 0.0251845i | ||||
\(206\) | −658.649 | + | 478.536i | −0.222768 | + | 0.161851i | ||||
\(207\) | 3580.56 | − | 561.300i | 1.20225 | − | 0.188469i | ||||
\(208\) | − | 3066.12i | − | 1.02210i | ||||||
\(209\) | 737.060 | − | 1092.33i | 0.243940 | − | 0.361523i | ||||
\(210\) | 350.113 | + | 1463.43i | 0.115048 | + | 0.480885i | ||||
\(211\) | 2151.47 | + | 699.054i | 0.701958 | + | 0.228080i | 0.638183 | − | 0.769884i | \(-0.279686\pi\) |
0.0637745 | + | 0.997964i | \(0.479686\pi\) | |||||||
\(212\) | −1396.89 | − | 1922.65i | −0.452541 | − | 0.622870i | ||||
\(213\) | 18.5310 | + | 7.69299i | 0.00596115 | + | 0.00247472i | ||||
\(214\) | 68.4307 | + | 210.608i | 0.0218590 | + | 0.0672751i | ||||
\(215\) | −282.187 | − | 868.482i | −0.0895116 | − | 0.275488i | ||||
\(216\) | 167.251 | + | 2191.60i | 0.0526852 | + | 0.690369i | ||||
\(217\) | −412.324 | − | 567.515i | −0.128988 | − | 0.177536i | ||||
\(218\) | −1648.03 | − | 535.476i | −0.512011 | − | 0.166363i | ||||
\(219\) | 1018.65 | − | 243.705i | 0.314312 | − | 0.0751967i | ||||
\(220\) | 107.335 | + | 3088.86i | 0.0328932 | + | 0.946595i | ||||
\(221\) | − | 2641.80i | − | 0.804104i | ||||||
\(222\) | −43.4042 | − | 3.45053i | −0.0131221 | − | 0.00104317i | ||||
\(223\) | −2632.40 | + | 1912.55i | −0.790486 | + | 0.574322i | −0.908108 | − | 0.418737i | \(-0.862473\pi\) |
0.117622 | + | 0.993058i | \(0.462473\pi\) | |||||||
\(224\) | 2185.80 | − | 3008.49i | 0.651985 | − | 0.897381i | ||||
\(225\) | 496.197 | + | 497.770i | 0.147021 | + | 0.147487i | ||||
\(226\) | 680.215 | − | 221.015i | 0.200209 | − | 0.0650519i | ||||
\(227\) | −369.186 | − | 268.229i | −0.107946 | − | 0.0784273i | 0.532503 | − | 0.846428i | \(-0.321252\pi\) |
−0.640449 | + | 0.768001i | \(0.721252\pi\) | |||||||
\(228\) | −841.023 | + | 983.136i | −0.244290 | + | 0.285569i | ||||
\(229\) | −1162.71 | + | 3578.47i | −0.335521 | + | 1.03263i | 0.630944 | + | 0.775828i | \(0.282668\pi\) |
−0.966465 | + | 0.256799i | \(0.917332\pi\) | |||||||
\(230\) | 1735.30 | 0.497487 | ||||||||
\(231\) | −2340.39 | − | 3543.35i | −0.666608 | − | 1.00924i | ||||
\(232\) | 1698.26 | 0.480587 | ||||||||
\(233\) | 235.019 | − | 723.314i | 0.0660798 | − | 0.203373i | −0.912565 | − | 0.408932i | \(-0.865901\pi\) |
0.978645 | + | 0.205559i | \(0.0659013\pi\) | |||||||
\(234\) | −2005.01 | − | 1025.60i | −0.560135 | − | 0.286520i | ||||
\(235\) | −5097.16 | − | 3703.31i | −1.41490 | − | 1.02799i | ||||
\(236\) | −3843.22 | + | 1248.74i | −1.06005 | + | 0.344432i | ||||
\(237\) | 492.781 | + | 805.575i | 0.135061 | + | 0.220792i | ||||
\(238\) | 461.445 | − | 635.125i | 0.125677 | − | 0.172979i | ||||
\(239\) | −1997.27 | + | 1451.10i | −0.540556 | + | 0.392737i | −0.824291 | − | 0.566166i | \(-0.808426\pi\) |
0.283735 | + | 0.958903i | \(0.408426\pi\) | |||||||
\(240\) | 195.681 | − | 2461.48i | 0.0526299 | − | 0.662032i | ||||
\(241\) | 3255.97i | 0.870273i | 0.900365 | + | 0.435136i | \(0.143300\pi\) | ||||
−0.900365 | + | 0.435136i | \(0.856700\pi\) | |||||||
\(242\) | 524.042 | + | 1298.33i | 0.139201 | + | 0.344876i | ||||
\(243\) | −3493.89 | − | 1463.43i | −0.922359 | − | 0.386334i | ||||
\(244\) | −1680.64 | − | 546.074i | −0.440951 | − | 0.143274i | ||||
\(245\) | 1147.02 | + | 1578.73i | 0.299103 | + | 0.411680i | ||||
\(246\) | −15.5813 | + | 37.5327i | −0.00403833 | + | 0.00972763i | ||||
\(247\) | −885.045 | − | 2723.89i | −0.227992 | − | 0.701687i | ||||
\(248\) | −151.607 | − | 466.598i | −0.0388188 | − | 0.119472i | ||||
\(249\) | 1520.34 | − | 3662.23i | 0.386938 | − | 0.932065i | ||||
\(250\) | −752.024 | − | 1035.07i | −0.190249 | − | 0.261855i | ||||
\(251\) | 1357.24 | + | 440.993i | 0.341307 | + | 0.110897i | 0.474655 | − | 0.880172i | \(-0.342573\pi\) |
−0.133348 | + | 0.991069i | \(0.542573\pi\) | |||||||
\(252\) | 1886.94 | + | 3717.85i | 0.471690 | + | 0.929376i | ||||
\(253\) | −4602.15 | + | 1674.15i | −1.14361 | + | 0.416020i | ||||
\(254\) | − | 2350.19i | − | 0.580568i | ||||||
\(255\) | 168.601 | − | 2120.84i | 0.0414048 | − | 0.520831i | ||||
\(256\) | 378.920 | − | 275.301i | 0.0925098 | − | 0.0672123i | ||||
\(257\) | −3630.39 | + | 4996.80i | −0.881157 | + | 1.21281i | 0.0949424 | + | 0.995483i | \(0.469733\pi\) |
−0.976099 | + | 0.217325i | \(0.930267\pi\) | |||||||
\(258\) | 211.938 | + | 346.466i | 0.0511422 | + | 0.0836048i | ||||
\(259\) | −169.708 | + | 55.1415i | −0.0407149 | + | 0.0132291i | ||||
\(260\) | 5434.63 | + | 3948.49i | 1.29631 | + | 0.941826i | ||||
\(261\) | −1332.85 | + | 2605.68i | −0.316098 | + | 0.617959i | ||||
\(262\) | −653.747 | + | 2012.03i | −0.154155 | + | 0.474441i | ||||
\(263\) | 5256.94 | 1.23254 | 0.616268 | − | 0.787537i | \(-0.288644\pi\) | ||||
0.616268 | + | 0.787537i | \(0.288644\pi\) | |||||||
\(264\) | −790.928 | − | 2862.69i | −0.184387 | − | 0.667373i | ||||
\(265\) | 4236.81 | 0.982132 | ||||||||
\(266\) | 263.006 | − | 809.450i | 0.0606238 | − | 0.186581i | ||||
\(267\) | −1053.85 | + | 1231.93i | −0.241553 | + | 0.282370i | ||||
\(268\) | 3703.85 | + | 2691.01i | 0.844212 | + | 0.613356i | ||||
\(269\) | 2054.07 | − | 667.407i | 0.465572 | − | 0.151273i | −0.0668317 | − | 0.997764i | \(-0.521289\pi\) |
0.532403 | + | 0.846491i | \(0.321289\pi\) | |||||||
\(270\) | −1544.16 | − | 951.311i | −0.348055 | − | 0.214426i | ||||
\(271\) | 2862.23 | − | 3939.52i | 0.641579 | − | 0.883058i | −0.357120 | − | 0.934059i | \(-0.616241\pi\) |
0.998699 | + | 0.0510009i | \(0.0162411\pi\) | |||||||
\(272\) | −1042.24 | + | 757.228i | −0.232334 | + | 0.168800i | ||||
\(273\) | −9200.57 | − | 731.423i | −2.03972 | − | 0.162153i | ||||
\(274\) | − | 2534.98i | − | 0.558920i | ||||||
\(275\) | −787.239 | − | 531.196i | −0.172627 | − | 0.116481i | ||||
\(276\) | 4676.19 | − | 1118.74i | 1.01983 | − | 0.243987i | ||||
\(277\) | −5526.72 | − | 1795.74i | −1.19880 | − | 0.389515i | −0.359483 | − | 0.933152i | \(-0.617047\pi\) |
−0.839320 | + | 0.543637i | \(0.817047\pi\) | |||||||
\(278\) | 1161.02 | + | 1598.01i | 0.250480 | + | 0.344756i | ||||
\(279\) | 834.899 | + | 133.589i | 0.179154 | + | 0.0286659i | ||||
\(280\) | 1332.76 | + | 4101.82i | 0.284457 | + | 0.875468i | ||||
\(281\) | −1729.34 | − | 5322.38i | −0.367132 | − | 1.12992i | −0.948635 | − | 0.316372i | \(-0.897535\pi\) |
0.581503 | − | 0.813544i | \(-0.302465\pi\) | |||||||
\(282\) | 2588.06 | + | 1074.41i | 0.546513 | + | 0.226880i | ||||
\(283\) | 518.326 | + | 713.414i | 0.108874 | + | 0.149852i | 0.859977 | − | 0.510333i | \(-0.170478\pi\) |
−0.751103 | + | 0.660185i | \(0.770478\pi\) | |||||||
\(284\) | 25.3157 | + | 8.22556i | 0.00528947 | + | 0.00171865i | ||||
\(285\) | −536.672 | − | 2243.22i | −0.111543 | − | 0.466234i | ||||
\(286\) | 2925.04 | + | 839.284i | 0.604759 | + | 0.173524i | ||||
\(287\) | 166.546i | 0.0342539i | ||||||||
\(288\) | 694.172 | + | 4428.16i | 0.142029 | + | 0.906013i | ||||
\(289\) | 3076.70 | − | 2235.35i | 0.626236 | − | 0.454987i | ||||
\(290\) | −823.683 | + | 1133.70i | −0.166787 | + | 0.229563i | ||||
\(291\) | 3316.85 | − | 2028.96i | 0.668168 | − | 0.408727i | ||||
\(292\) | 1321.53 | − | 429.390i | 0.264851 | − | 0.0860552i | ||||
\(293\) | 2989.93 | + | 2172.31i | 0.596155 | + | 0.433132i | 0.844512 | − | 0.535537i | \(-0.179891\pi\) |
−0.248357 | + | 0.968669i | \(0.579891\pi\) | |||||||
\(294\) | −659.527 | − | 564.192i | −0.130831 | − | 0.111920i | ||||
\(295\) | 2226.22 | − | 6851.59i | 0.439374 | − | 1.35225i | ||||
\(296\) | −124.800 | −0.0245062 | ||||||||
\(297\) | 5013.04 | + | 1033.20i | 0.979414 | + | 0.201861i | ||||
\(298\) | 1106.96 | 0.215183 | ||||||||
\(299\) | −3289.14 | + | 10122.9i | −0.636173 | + | 1.95794i | ||||
\(300\) | 708.542 | + | 606.122i | 0.136359 | + | 0.116648i | ||||
\(301\) | 1346.60 | + | 978.363i | 0.257863 | + | 0.187349i | ||||
\(302\) | −3426.66 | + | 1113.39i | −0.652921 | + | 0.212147i | ||||
\(303\) | 1362.31 | − | 833.343i | 0.258292 | − | 0.158001i | ||||
\(304\) | −820.936 | + | 1129.92i | −0.154881 | + | 0.213176i | ||||
\(305\) | 2548.72 | − | 1851.75i | 0.478489 | − | 0.347643i | ||||
\(306\) | 146.547 | + | 934.831i | 0.0273776 | + | 0.174643i | ||||
\(307\) | 8741.11i | 1.62502i | 0.582946 | + | 0.812511i | \(0.301900\pi\) | ||||
−0.582946 | + | 0.812511i | \(0.698100\pi\) | |||||||
\(308\) | −3467.64 | − | 4439.94i | −0.641516 | − | 0.821394i | ||||
\(309\) | −935.726 | − | 3911.21i | −0.172271 | − | 0.720067i | ||||
\(310\) | 385.018 | + | 125.100i | 0.0705404 | + | 0.0229200i | ||||
\(311\) | 3215.19 | + | 4425.33i | 0.586227 | + | 0.806873i | 0.994361 | − | 0.106049i | \(-0.0338202\pi\) |
−0.408133 | + | 0.912922i | \(0.633820\pi\) | |||||||
\(312\) | −5961.74 | − | 2474.96i | −1.08179 | − | 0.449093i | ||||
\(313\) | −1302.16 | − | 4007.63i | −0.235151 | − | 0.723720i | −0.997101 | − | 0.0760848i | \(-0.975758\pi\) |
0.761950 | − | 0.647635i | \(-0.224242\pi\) | |||||||
\(314\) | 34.5728 | + | 106.404i | 0.00621356 | + | 0.0191234i | ||||
\(315\) | −7339.52 | − | 1174.37i | −1.31281 | − | 0.210058i | ||||
\(316\) | 736.384 | + | 1013.55i | 0.131091 | + | 0.180432i | ||||
\(317\) | 61.3525 | + | 19.9346i | 0.0108703 | + | 0.00353199i | 0.314447 | − | 0.949275i | \(-0.398181\pi\) |
−0.303577 | + | 0.952807i | \(0.598181\pi\) | |||||||
\(318\) | −1832.66 | + | 438.451i | −0.323178 | + | 0.0773179i | ||||
\(319\) | 1090.72 | − | 3801.33i | 0.191438 | − | 0.667190i | ||||
\(320\) | − | 1655.57i | − | 0.289216i | ||||||
\(321\) | −1090.44 | − | 86.6873i | −0.189602 | − | 0.0150729i | ||||
\(322\) | −2558.93 | + | 1859.17i | −0.442868 | + | 0.321762i | ||||
\(323\) | −707.327 | + | 973.553i | −0.121848 | + | 0.167709i | ||||
\(324\) | −4774.45 | − | 1568.03i | −0.818663 | − | 0.268866i | ||||
\(325\) | −1963.09 | + | 637.848i | −0.335055 | + | 0.108866i | ||||
\(326\) | −267.772 | − | 194.548i | −0.0454924 | − | 0.0330522i | ||||
\(327\) | 5564.23 | − | 6504.45i | 0.940986 | − | 1.09999i | ||||
\(328\) | −35.9942 | + | 110.779i | −0.00605930 | + | 0.0186486i | ||||
\(329\) | 11484.1 | 1.92444 | ||||||||
\(330\) | 2294.65 | + | 860.453i | 0.382777 | + | 0.143535i | ||||
\(331\) | −6229.62 | −1.03447 | −0.517237 | − | 0.855842i | \(-0.673039\pi\) | ||||
−0.517237 | + | 0.855842i | \(0.673039\pi\) | |||||||
\(332\) | 1625.59 | − | 5003.05i | 0.268722 | − | 0.827042i | ||||
\(333\) | 97.9473 | − | 191.483i | 0.0161186 | − | 0.0315111i | ||||
\(334\) | −597.059 | − | 433.789i | −0.0978133 | − | 0.0710655i | ||||
\(335\) | −7762.43 | + | 2522.17i | −1.26599 | + | 0.411345i | ||||
\(336\) | 2348.63 | + | 3839.43i | 0.381334 | + | 0.623387i | ||||
\(337\) | −5667.45 | + | 7800.57i | −0.916099 | + | 1.26090i | 0.0489410 | + | 0.998802i | \(0.484415\pi\) |
−0.965040 | + | 0.262101i | \(0.915585\pi\) | |||||||
\(338\) | 3481.14 | − | 2529.19i | 0.560204 | − | 0.407012i | ||||
\(339\) | −279.980 | + | 3521.86i | −0.0448567 | + | 0.564252i | ||||
\(340\) | − | 2822.48i | − | 0.450207i | ||||||
\(341\) | −1141.79 | + | 39.6761i | −0.181324 | + | 0.00630082i | ||||
\(342\) | 464.283 | + | 914.782i | 0.0734081 | + | 0.144637i | ||||
\(343\) | 3924.50 | + | 1275.15i | 0.617793 | + | 0.200733i | ||||
\(344\) | 684.254 | + | 941.795i | 0.107246 | + | 0.147611i | ||||
\(345\) | −3286.56 | + | 7916.75i | −0.512877 | + | 1.23543i | ||||
\(346\) | −1460.38 | − | 4494.60i | −0.226909 | − | 0.698356i | ||||
\(347\) | −1854.30 | − | 5706.94i | −0.286870 | − | 0.882896i | −0.985832 | − | 0.167737i | \(-0.946354\pi\) |
0.698962 | − | 0.715159i | \(-0.253646\pi\) | |||||||
\(348\) | −1488.72 | + | 3586.07i | −0.229322 | + | 0.552396i | ||||
\(349\) | 1961.99 | + | 2700.45i | 0.300925 | + | 0.414188i | 0.932524 | − | 0.361107i | \(-0.117601\pi\) |
−0.631599 | + | 0.775295i | \(0.717601\pi\) | |||||||
\(350\) | −583.367 | − | 189.547i | −0.0890922 | − | 0.0289478i | ||||
\(351\) | 8476.37 | − | 7204.79i | 1.28899 | − | 1.09562i | ||||
\(352\) | −2070.46 | − | 5691.58i | −0.313511 | − | 0.861825i | ||||
\(353\) | − | 2450.05i | − | 0.369414i | −0.982794 | − | 0.184707i | \(-0.940866\pi\) | ||
0.982794 | − | 0.184707i | \(-0.0591336\pi\) | |||||||
\(354\) | −253.922 | + | 3194.09i | −0.0381238 | + | 0.479559i | ||||
\(355\) | −38.3916 | + | 27.8931i | −0.00573976 | + | 0.00417018i | ||||
\(356\) | −1264.18 | + | 1739.99i | −0.188206 | + | 0.259043i | ||||
\(357\) | 2023.61 | + | 3308.09i | 0.300002 | + | 0.490428i | ||||
\(358\) | −2173.03 | + | 706.059i | −0.320804 | + | 0.104236i | ||||
\(359\) | −6131.94 | − | 4455.11i | −0.901480 | − | 0.654964i | 0.0373658 | − | 0.999302i | \(-0.488103\pi\) |
−0.938846 | + | 0.344338i | \(0.888103\pi\) | |||||||
\(360\) | −4628.12 | − | 2367.37i | −0.677565 | − | 0.346588i | ||||
\(361\) | 1716.40 | − | 5282.53i | 0.250240 | − | 0.770160i | ||||
\(362\) | 1391.17 | 0.201984 | ||||||||
\(363\) | −6915.74 | − | 68.1962i | −0.999951 | − | 0.00986053i | ||||
\(364\) | −12244.4 | −1.76314 | ||||||||
\(365\) | −765.503 | + | 2355.98i | −0.109776 | + | 0.337856i | ||||
\(366\) | −910.837 | + | 1064.75i | −0.130083 | + | 0.152063i | ||||
\(367\) | −2230.23 | − | 1620.36i | −0.317212 | − | 0.230468i | 0.417773 | − | 0.908552i | \(-0.362811\pi\) |
−0.734985 | + | 0.678083i | \(0.762811\pi\) | |||||||
\(368\) | 4936.43 | − | 1603.94i | 0.699265 | − | 0.227205i | ||||
\(369\) | −141.721 | − | 142.170i | −0.0199938 | − | 0.0200571i | ||||
\(370\) | 60.5299 | − | 83.3122i | 0.00850486 | − | 0.0117059i | ||||
\(371\) | −6247.74 | + | 4539.25i | −0.874304 | + | 0.635219i | ||||
\(372\) | 1118.18 | + | 88.8925i | 0.155846 | + | 0.0123894i | ||||
\(373\) | 694.839i | 0.0964541i | 0.998836 | + | 0.0482271i | \(0.0153571\pi\) | ||||
−0.998836 | + | 0.0482271i | \(0.984643\pi\) | |||||||
\(374\) | −437.096 | − | 1201.55i | −0.0604324 | − | 0.166125i | ||||
\(375\) | 6146.49 | − | 1470.50i | 0.846409 | − | 0.202497i | ||||
\(376\) | 7638.73 | + | 2481.97i | 1.04771 | + | 0.340420i | ||||
\(377\) | −5052.26 | − | 6953.84i | −0.690198 | − | 0.949977i | ||||
\(378\) | 3296.30 | − | 251.555i | 0.448527 | − | 0.0342291i | ||||
\(379\) | 3139.92 | + | 9663.67i | 0.425559 | + | 1.30974i | 0.902458 | + | 0.430777i | \(0.141761\pi\) |
−0.476900 | + | 0.878958i | \(0.658239\pi\) | |||||||
\(380\) | −945.574 | − | 2910.18i | −0.127650 | − | 0.392866i | ||||
\(381\) | 10722.0 | + | 4451.15i | 1.44175 | + | 0.598528i | ||||
\(382\) | 918.958 | + | 1264.84i | 0.123084 | + | 0.169410i | ||||
\(383\) | 1793.21 | + | 582.651i | 0.239240 | + | 0.0777338i | 0.426183 | − | 0.904637i | \(-0.359858\pi\) |
−0.186943 | + | 0.982371i | \(0.559858\pi\) | |||||||
\(384\) | 1776.99 | + | 7427.58i | 0.236150 | + | 0.987076i | ||||
\(385\) | 10037.4 | − | 348.789i | 1.32871 | − | 0.0461713i | ||||
\(386\) | − | 2173.27i | − | 0.286572i | ||||||
\(387\) | −1982.04 | + | 310.712i | −0.260344 | + | 0.0408123i | ||||
\(388\) | 4173.14 | − | 3031.96i | 0.546028 | − | 0.396713i | ||||
\(389\) | −3391.19 | + | 4667.57i | −0.442005 | + | 0.608368i | −0.970656 | − | 0.240471i | \(-0.922698\pi\) |
0.528651 | + | 0.848839i | \(0.322698\pi\) | |||||||
\(390\) | 4543.74 | − | 2779.47i | 0.589952 | − | 0.360881i | ||||
\(391\) | 4253.29 | − | 1381.98i | 0.550123 | − | 0.178746i | ||||
\(392\) | −2012.58 | − | 1462.22i | −0.259313 | − | 0.188402i | ||||
\(393\) | −7941.09 | − | 6793.20i | −1.01927 | − | 0.871938i | ||||
\(394\) | −1732.59 | + | 5332.37i | −0.221540 | + | 0.681830i | ||||
\(395\) | −2233.48 | −0.284502 | ||||||||
\(396\) | 6738.25 | + | 839.349i | 0.855076 | + | 0.106512i | ||||
\(397\) | 7553.83 | 0.954952 | 0.477476 | − | 0.878645i | \(-0.341552\pi\) | ||||
0.477476 | + | 0.878645i | \(0.341552\pi\) | |||||||
\(398\) | 643.658 | − | 1980.97i | 0.0810644 | − | 0.249491i | ||||
\(399\) | 3194.74 | + | 2732.94i | 0.400845 | + | 0.342903i | ||||
\(400\) | 814.329 | + | 591.645i | 0.101791 | + | 0.0739556i | ||||
\(401\) | 5447.60 | − | 1770.03i | 0.678404 | − | 0.220427i | 0.0505078 | − | 0.998724i | \(-0.483916\pi\) |
0.627897 | + | 0.778297i | \(0.283916\pi\) | |||||||
\(402\) | 3096.69 | − | 1894.29i | 0.384201 | − | 0.235021i | ||||
\(403\) | −1459.55 | + | 2008.90i | −0.180410 | + | 0.248313i | ||||
\(404\) | 1714.01 | − | 1245.30i | 0.211077 | − | 0.153357i | ||||
\(405\) | 7264.63 | − | 5243.03i | 0.891314 | − | 0.643279i | ||||
\(406\) | − | 2554.28i | − | 0.312233i | ||||||
\(407\) | −80.1536 | + | 279.348i | −0.00976184 | + | 0.0340215i | ||||
\(408\) | 631.060 | + | 2637.75i | 0.0765739 | + | 0.320068i | ||||
\(409\) | −5904.51 | − | 1918.49i | −0.713837 | − | 0.231940i | −0.0704880 | − | 0.997513i | \(-0.522456\pi\) |
−0.643349 | + | 0.765573i | \(0.722456\pi\) | |||||||
\(410\) | −56.4946 | − | 77.7581i | −0.00680504 | − | 0.00936634i | ||||
\(411\) | 11565.1 | + | 4801.13i | 1.38799 | + | 0.576210i | ||||
\(412\) | −1648.68 | − | 5074.10i | −0.197147 | − | 0.606755i | ||||
\(413\) | 4057.83 | + | 12488.7i | 0.483469 | + | 1.48797i | ||||
\(414\) | 602.354 | − | 3764.56i | 0.0715075 | − | 0.446904i | ||||
\(415\) | 5512.42 | + | 7587.20i | 0.652034 | + | 0.897448i | ||||
\(416\) | −12519.2 | − | 4067.75i | −1.47550 | − | 0.479418i | ||||
\(417\) | −9489.34 | + | 2270.25i | −1.11438 | + | 0.266606i | ||||
\(418\) | −853.216 | − | 1092.45i | −0.0998377 | − | 0.127832i | ||||
\(419\) | − | 144.958i | − | 0.0169013i | −0.999964 | − | 0.00845065i | \(-0.997310\pi\) | ||
0.999964 | − | 0.00845065i | \(-0.00268996\pi\) | |||||||
\(420\) | −9829.81 | − | 781.447i | −1.14201 | − | 0.0907874i | ||||
\(421\) | 2880.30 | − | 2092.66i | 0.333437 | − | 0.242256i | −0.408450 | − | 0.912781i | \(-0.633931\pi\) |
0.741888 | + | 0.670524i | \(0.233931\pi\) | |||||||
\(422\) | 1398.71 | − | 1925.16i | 0.161347 | − | 0.222075i | ||||
\(423\) | −9803.30 | + | 9772.33i | −1.12684 | + | 1.12328i | ||||
\(424\) | −5136.76 | + | 1669.03i | −0.588356 | + | 0.191168i | ||||
\(425\) | 701.635 | + | 509.768i | 0.0800807 | + | 0.0581820i | ||||
\(426\) | 13.7200 | − | 16.0384i | 0.00156042 | − | 0.00182409i | ||||
\(427\) | −1774.49 | + | 5461.32i | −0.201109 | + | 0.618950i | ||||
\(428\) | −1451.19 | −0.163893 | ||||||||
\(429\) | −9368.85 | + | 11755.0i | −1.05439 | + | 1.32293i | ||||
\(430\) | −960.585 | −0.107729 | ||||||||
\(431\) | 1004.07 | − | 3090.22i | 0.112215 | − | 0.345362i | −0.879141 | − | 0.476561i | \(-0.841883\pi\) |
0.991356 | + | 0.131200i | \(0.0418830\pi\) | |||||||
\(432\) | −5272.02 | − | 1278.94i | −0.587153 | − | 0.142437i | ||||
\(433\) | −11380.1 | − | 8268.14i | −1.26303 | − | 0.917648i | −0.264131 | − | 0.964487i | \(-0.585085\pi\) |
−0.998902 | + | 0.0468392i | \(0.985085\pi\) | |||||||
\(434\) | −701.790 | + | 228.025i | −0.0776198 | + | 0.0252202i | ||||
\(435\) | −3612.15 | − | 5904.97i | −0.398136 | − | 0.650854i | ||||
\(436\) | 6674.72 | − | 9186.97i | 0.733168 | − | 1.00912i | ||||
\(437\) | 3922.46 | − | 2849.83i | 0.429374 | − | 0.311959i | ||||
\(438\) | 87.3134 | − | 1098.31i | 0.00952510 | − | 0.119816i | ||||
\(439\) | − | 5885.66i | − | 0.639880i | −0.947438 | − | 0.319940i | \(-0.896337\pi\) | ||
0.947438 | − | 0.319940i | \(-0.103663\pi\) | |||||||
\(440\) | 6751.81 | + | 1937.30i | 0.731545 | + | 0.209903i | ||||
\(441\) | 3823.06 | − | 1940.34i | 0.412813 | − | 0.209517i | ||||
\(442\) | −2642.95 | − | 858.745i | −0.284417 | − | 0.0924126i | ||||
\(443\) | 5299.12 | + | 7293.61i | 0.568327 | + | 0.782235i | 0.992355 | − | 0.123414i | \(-0.0393843\pi\) |
−0.424028 | + | 0.905649i | \(0.639384\pi\) | |||||||
\(444\) | 109.402 | − | 263.529i | 0.0116936 | − | 0.0281679i | ||||
\(445\) | −1184.86 | − | 3646.62i | −0.126220 | − | 0.388464i | ||||
\(446\) | 1057.69 | + | 3255.23i | 0.112294 | + | 0.345604i | ||||
\(447\) | −2096.53 | + | 5050.16i | −0.221839 | + | 0.534372i | ||||
\(448\) | 1773.75 | + | 2441.36i | 0.187058 | + | 0.257463i | ||||
\(449\) | 1167.28 | + | 379.272i | 0.122689 | + | 0.0398640i | 0.369718 | − | 0.929144i | \(-0.379454\pi\) |
−0.247029 | + | 0.969008i | \(0.579454\pi\) | |||||||
\(450\) | 659.279 | − | 334.607i | 0.0690638 | − | 0.0350523i | ||||
\(451\) | 224.847 | + | 151.717i | 0.0234759 | + | 0.0158405i | ||||
\(452\) | 4687.02i | 0.487741i | ||||||||
\(453\) | 1410.43 | − | 17741.8i | 0.146286 | − | 1.84013i | ||||
\(454\) | −388.353 | + | 282.155i | −0.0401461 | + | 0.0291678i | ||||
\(455\) | 12830.8 | − | 17660.0i | 1.32201 | − | 1.81960i | ||||
\(456\) | 1534.35 | + | 2508.29i | 0.157572 | + | 0.257591i | ||||
\(457\) | −5283.36 | + | 1716.67i | −0.540799 | + | 0.175716i | −0.566664 | − | 0.823949i | \(-0.691766\pi\) |
0.0258646 | + | 0.999665i | \(0.491766\pi\) | |||||||
\(458\) | 3202.06 | + | 2326.43i | 0.326687 | + | 0.237352i | ||||
\(459\) | −4542.43 | − | 1101.95i | −0.461923 | − | 0.112058i | ||||
\(460\) | −3514.08 | + | 10815.2i | −0.356185 | + | 1.09622i | ||||
\(461\) | −18525.0 | −1.87157 | −0.935787 | − | 0.352567i | \(-0.885309\pi\) | ||||
−0.935787 | + | 0.352567i | \(0.885309\pi\) | |||||||
\(462\) | −4305.65 | + | 1189.60i | −0.433586 | + | 0.119795i | ||||
\(463\) | −7701.23 | −0.773016 | −0.386508 | − | 0.922286i | \(-0.626319\pi\) | ||||
−0.386508 | + | 0.922286i | \(0.626319\pi\) | |||||||
\(464\) | −1295.26 | + | 3986.40i | −0.129593 | + | 0.398845i | ||||
\(465\) | −1299.93 | + | 1519.59i | −0.129641 | + | 0.151547i | ||||
\(466\) | −647.231 | − | 470.241i | −0.0643399 | − | 0.0467457i | ||||
\(467\) | 2138.35 | − | 694.791i | 0.211886 | − | 0.0688461i | −0.201151 | − | 0.979560i | \(-0.564468\pi\) |
0.413037 | + | 0.910714i | \(0.364468\pi\) | |||||||
\(468\) | 10452.3 | − | 10419.3i | 1.03239 | − | 1.02913i | ||||
\(469\) | 8744.54 | − | 12035.8i | 0.860949 | − | 1.18500i | ||||
\(470\) | −5361.79 | + | 3895.57i | −0.526215 | + | 0.382318i | ||||
\(471\) | −550.915 | − | 43.7965i | −0.0538956 | − | 0.00428457i | ||||
\(472\) | 9183.94i | 0.895604i | ||||||||
\(473\) | 2547.55 | − | 926.739i | 0.247646 | − | 0.0900877i | ||||
\(474\) | 966.107 | − | 231.134i | 0.0936176 | − | 0.0223973i | ||||
\(475\) | 894.215 | + | 290.548i | 0.0863777 | + | 0.0280658i | ||||
\(476\) | 3023.96 | + | 4162.13i | 0.291183 | + | 0.400779i | ||||
\(477\) | 1470.68 | − | 9191.36i | 0.141169 | − | 0.882271i | ||||
\(478\) | 802.498 | + | 2469.83i | 0.0767895 | + | 0.236334i | ||||
\(479\) | 149.064 | + | 458.770i | 0.0142190 | + | 0.0437615i | 0.957914 | − | 0.287054i | \(-0.0926761\pi\) |
−0.943695 | + | 0.330816i | \(0.892676\pi\) | |||||||
\(480\) | −9790.82 | − | 4064.57i | −0.931016 | − | 0.386503i | ||||
\(481\) | 371.275 | + | 511.016i | 0.0351948 | + | 0.0484415i | ||||
\(482\) | 3257.38 | + | 1058.39i | 0.307821 | + | 0.100017i | ||||
\(483\) | −3635.40 | − | 15195.5i | −0.342477 | − | 1.43151i | ||||
\(484\) | −9153.08 | + | 636.890i | −0.859605 | + | 0.0598131i | ||||
\(485\) | 9196.03i | 0.860970i | ||||||||
\(486\) | −2599.79 | + | 3019.70i | −0.242652 | + | 0.281844i | ||||
\(487\) | −5815.52 | + | 4225.22i | −0.541122 | + | 0.393148i | −0.824501 | − | 0.565860i | \(-0.808544\pi\) |
0.283380 | + | 0.959008i | \(0.408544\pi\) | |||||||
\(488\) | −2360.62 | + | 3249.12i | −0.218976 | + | 0.301395i | ||||
\(489\) | 1394.71 | − | 853.163i | 0.128980 | − | 0.0788985i | ||||
\(490\) | 1952.26 | − | 634.329i | 0.179988 | − | 0.0584818i | ||||
\(491\) | 8364.79 | + | 6077.37i | 0.768834 | + | 0.558591i | 0.901607 | − | 0.432556i | \(-0.142388\pi\) |
−0.132773 | + | 0.991146i | \(0.542388\pi\) | |||||||
\(492\) | −202.369 | − | 173.117i | −0.0185437 | − | 0.0158632i | ||||
\(493\) | −1116.01 | + | 3434.73i | −0.101953 | + | 0.313778i | ||||
\(494\) | −3012.76 | −0.274393 | ||||||||
\(495\) | −8271.51 | + | 8838.98i | −0.751064 | + | 0.802591i | ||||
\(496\) | 1210.90 | 0.109619 | ||||||||
\(497\) | 26.7293 | − | 82.2643i | 0.00241242 | − | 0.00742467i | ||||
\(498\) | −3169.61 | − | 2711.44i | −0.285208 | − | 0.243981i | ||||
\(499\) | 6902.73 | + | 5015.13i | 0.619256 | + | 0.449916i | 0.852662 | − | 0.522464i | \(-0.174987\pi\) |
−0.233406 | + | 0.972379i | \(0.574987\pi\) | |||||||
\(500\) | 7974.00 | − | 2590.91i | 0.713216 | − | 0.231738i | ||||
\(501\) | 3109.83 | − | 1902.32i | 0.277319 | − | 0.169640i | ||||
\(502\) | 882.367 | − | 1214.47i | 0.0784502 | − | 0.107977i | ||||
\(503\) | −8604.73 | + | 6251.70i | −0.762755 | + | 0.554174i | −0.899754 | − | 0.436397i | \(-0.856254\pi\) |
0.136999 | + | 0.990571i | \(0.456254\pi\) | |||||||
\(504\) | 9361.15 | − | 1467.49i | 0.827339 | − | 0.129696i | ||||
\(505\) | 3777.03i | 0.332823i | ||||||||
\(506\) | 178.900 | + | 5148.34i | 0.0157175 | + | 0.452315i | ||||
\(507\) | 4945.56 | + | 20671.8i | 0.433215 | + | 1.81078i | ||||
\(508\) | 14647.6 | + | 4759.29i | 1.27929 | + | 0.415668i | ||||
\(509\) | −11433.9 | − | 15737.4i | −0.995675 | − | 1.37043i | −0.927942 | − | 0.372726i | \(-0.878423\pi\) |
−0.0677336 | − | 0.997703i | \(-0.521577\pi\) | |||||||
\(510\) | −2066.95 | − | 858.073i | −0.179463 | − | 0.0745022i | ||||
\(511\) | −1395.32 | − | 4294.35i | −0.120793 | − | 0.371763i | ||||
\(512\) | 3481.24 | + | 10714.2i | 0.300490 | + | 0.924812i | ||||
\(513\) | −5052.74 | + | 385.597i | −0.434861 | + | 0.0331862i | ||||
\(514\) | 3818.86 | + | 5256.22i | 0.327710 | + | 0.451054i | ||||
\(515\) | 9045.96 | + | 2939.21i | 0.774005 | + | 0.251489i | ||||
\(516\) | −2588.54 | + | 619.289i | −0.220841 | + | 0.0528346i | ||||
\(517\) | 10461.6 | − | 15504.2i | 0.889945 | − | 1.31891i | ||||
\(518\) | 187.706i | 0.0159215i | ||||||||
\(519\) | 23271.1 | + | 1850.00i | 1.96818 | + | 0.156466i | ||||
\(520\) | 12351.2 | − | 8973.67i | 1.04161 | − | 0.756772i | ||||
\(521\) | 4768.37 | − | 6563.09i | 0.400971 | − | 0.551889i | −0.560016 | − | 0.828482i | \(-0.689205\pi\) |
0.960987 | + | 0.276592i | \(0.0892052\pi\) | |||||||
\(522\) | 2173.54 | + | 2180.43i | 0.182248 | + | 0.182826i | ||||
\(523\) | −12433.5 | + | 4039.87i | −1.03954 | + | 0.337765i | −0.778553 | − | 0.627578i | \(-0.784046\pi\) |
−0.260982 | + | 0.965344i | \(0.584046\pi\) | |||||||
\(524\) | −11216.1 | − | 8148.97i | −0.935071 | − | 0.679369i | ||||
\(525\) | 1969.62 | − | 2302.44i | 0.163736 | − | 0.191403i | ||||
\(526\) | 1708.82 | − | 5259.21i | 0.141650 | − | 0.435955i | ||||
\(527\) | 1043.32 | 0.0862389 | ||||||||
\(528\) | 7322.97 | + | 326.790i | 0.603582 | + | 0.0269350i | ||||
\(529\) | −5851.44 | −0.480927 | ||||||||
\(530\) | 1377.22 | − | 4238.64i | 0.112873 | − | 0.347386i | ||||
\(531\) | −14091.1 | − | 7207.88i | −1.15161 | − | 0.589069i | ||||
\(532\) | 4512.30 | + | 3278.38i | 0.367731 | + | 0.267172i | ||||
\(533\) | 560.687 | − | 182.178i | 0.0455648 | − | 0.0148049i | ||||
\(534\) | 889.895 | + | 1454.76i | 0.0721152 | + | 0.117891i | ||||
\(535\) | 1520.69 | − | 2093.04i | 0.122888 | − | 0.169141i | ||||
\(536\) | 8417.69 | − | 6115.81i | 0.678338 | − | 0.492841i | ||||
\(537\) | 894.427 | − | 11251.0i | 0.0718760 | − | 0.904127i | ||||
\(538\) | − | 2271.90i | − | 0.182061i | ||||||
\(539\) | −4565.59 | + | 3565.77i | −0.364850 | + | 0.284951i | ||||
\(540\) | 9056.08 | − | 7697.54i | 0.721689 | − | 0.613425i | ||||
\(541\) | −7395.20 | − | 2402.85i | −0.587698 | − | 0.190955i | 4.83900e−5 | − | 1.00000i | \(-0.499985\pi\) |
−0.587746 | + | 0.809045i | \(0.699985\pi\) | |||||||
\(542\) | −3010.82 | − | 4144.05i | −0.238609 | − | 0.328417i | ||||
\(543\) | −2634.80 | + | 6346.76i | −0.208232 | + | 0.501594i | ||||
\(544\) | 1709.12 | + | 5260.14i | 0.134702 | + | 0.414571i | ||||
\(545\) | 6255.93 | + | 19253.8i | 0.491697 | + | 1.51329i | ||||
\(546\) | −3722.48 | + | 8966.79i | −0.291772 | + | 0.702827i | ||||
\(547\) | 6652.92 | + | 9156.95i | 0.520033 | + | 0.715764i | 0.985571 | − | 0.169264i | \(-0.0541390\pi\) |
−0.465538 | + | 0.885028i | \(0.654139\pi\) | |||||||
\(548\) | 15799.3 | + | 5133.51i | 1.23159 | + | 0.400169i | ||||
\(549\) | −3132.50 | − | 6171.99i | −0.243519 | − | 0.479807i | ||||
\(550\) | −787.326 | + | 614.909i | −0.0610395 | + | 0.0476724i | ||||
\(551\) | 3915.33i | 0.302720i | ||||||||
\(552\) | 865.972 | − | 10893.1i | 0.0667721 | − | 0.839926i | ||||
\(553\) | 3293.56 | − | 2392.91i | 0.253267 | − | 0.184009i | ||||
\(554\) | −3593.03 | + | 4945.39i | −0.275548 | + | 0.379259i | ||||
\(555\) | 265.446 | + | 433.938i | 0.0203019 | + | 0.0331885i | ||||
\(556\) | −12310.8 | + | 4000.01i | −0.939015 | + | 0.305105i | ||||
\(557\) | −13091.0 | − | 9511.18i | −0.995842 | − | 0.723522i | −0.0346495 | − | 0.999400i | \(-0.511031\pi\) |
−0.961193 | + | 0.275878i | \(0.911031\pi\) | |||||||
\(558\) | 405.039 | − | 791.835i | 0.0307288 | − | 0.0600736i | ||||
\(559\) | 1820.73 | − | 5603.62i | 0.137761 | − | 0.423985i | ||||
\(560\) | −10644.9 | −0.803267 | ||||||||
\(561\) | 6309.55 | + | 281.566i | 0.474848 | + | 0.0211902i | ||||
\(562\) | −5886.82 | −0.441851 | ||||||||
\(563\) | 4970.63 | − | 15298.0i | 0.372091 | − | 1.14518i | −0.573330 | − | 0.819325i | \(-0.694349\pi\) |
0.945421 | − | 0.325853i | \(-0.105651\pi\) | |||||||
\(564\) | −11937.2 | + | 13954.3i | −0.891220 | + | 1.04182i | ||||
\(565\) | −6760.04 | − | 4911.46i | −0.503358 | − | 0.365711i | ||||
\(566\) | 882.210 | − | 286.647i | 0.0655160 | − | 0.0212874i | ||||
\(567\) | −5095.38 | + | 15514.8i | −0.377400 | + | 1.14913i | ||||
\(568\) | 35.5583 | − | 48.9418i | 0.00262675 | − | 0.00361541i | ||||
\(569\) | 12048.8 | − | 8753.93i | 0.887716 | − | 0.644963i | −0.0475658 | − | 0.998868i | \(-0.515146\pi\) |
0.935281 | + | 0.353905i | \(0.115146\pi\) | |||||||
\(570\) | −2418.64 | − | 192.276i | −0.177729 | − | 0.0141290i | ||||
\(571\) | 18417.6i | 1.34983i | 0.737895 | + | 0.674916i | \(0.235820\pi\) | ||||
−0.737895 | + | 0.674916i | \(0.764180\pi\) | |||||||
\(572\) | −11154.2 | + | 16530.7i | −0.815353 | + | 1.20836i | ||||
\(573\) | −7510.88 | + | 1796.92i | −0.547595 | + | 0.131008i | ||||
\(574\) | 166.618 | + | 54.1374i | 0.0121158 | + | 0.00393667i | ||||
\(575\) | −2053.86 | − | 2826.90i | −0.148960 | − | 0.205026i | ||||
\(576\) | −3591.60 | − | 574.679i | −0.259809 | − | 0.0415711i | ||||
\(577\) | −6872.56 | − | 21151.6i | −0.495855 | − | 1.52608i | −0.815620 | − | 0.578587i | \(-0.803604\pi\) |
0.319766 | − | 0.947497i | \(-0.396396\pi\) | |||||||
\(578\) | −1236.21 | − | 3804.65i | −0.0889609 | − | 0.273794i | ||||
\(579\) | 9914.89 | + | 4116.07i | 0.711656 | + | 0.295437i | ||||
\(580\) | −5397.80 | − | 7429.43i | −0.386433 | − | 0.531880i | ||||
\(581\) | −16257.6 | − | 5282.42i | −1.16089 | − | 0.377197i | ||||
\(582\) | −951.662 | − | 3977.81i | −0.0677795 | − | 0.283309i | ||||
\(583\) | 436.792 | + | 12569.9i | 0.0310293 | + | 0.892955i | ||||
\(584\) | − | 3157.97i | − | 0.223764i | ||||||
\(585\) | 4074.84 | + | 25993.6i | 0.287989 | + | 1.83710i | ||||
\(586\) | 3145.15 | − | 2285.09i | 0.221715 | − | 0.161086i | ||||
\(587\) | 10118.4 | − | 13926.8i | 0.711468 | − | 0.979252i | −0.288296 | − | 0.957541i | \(-0.593089\pi\) |
0.999764 | − | 0.0217104i | \(-0.00691116\pi\) | |||||||
\(588\) | 4851.92 | − | 2967.98i | 0.340289 | − | 0.208159i | ||||
\(589\) | 1075.74 | − | 349.529i | 0.0752549 | − | 0.0244518i | ||||
\(590\) | −6130.90 | − | 4454.36i | −0.427805 | − | 0.310819i | ||||
\(591\) | −21045.9 | − | 18003.7i | −1.46482 | − | 1.25308i | ||||
\(592\) | 95.1847 | − | 292.948i | 0.00660822 | − | 0.0203380i | ||||
\(593\) | −2358.18 | −0.163303 | −0.0816517 | − | 0.996661i | \(-0.526020\pi\) | ||||
−0.0816517 | + | 0.996661i | \(0.526020\pi\) | |||||||
\(594\) | 2663.19 | − | 4679.35i | 0.183960 | − | 0.323226i | ||||
\(595\) | −9171.77 | −0.631943 | ||||||||
\(596\) | −2241.66 | + | 6899.13i | −0.154064 | + | 0.474160i | ||||
\(597\) | 7818.52 | + | 6688.35i | 0.535998 | + | 0.458519i | ||||
\(598\) | 9058.13 | + | 6581.12i | 0.619422 | + | 0.450037i | ||||
\(599\) | −7979.02 | + | 2592.54i | −0.544264 | + | 0.176842i | −0.568229 | − | 0.822871i | \(-0.692371\pi\) |
0.0239648 | + | 0.999713i | \(0.492371\pi\) | |||||||
\(600\) | 1807.71 | − | 1105.80i | 0.122999 | − | 0.0752403i | ||||
\(601\) | −11018.3 | + | 15165.4i | −0.747832 | + | 1.02930i | 0.250297 | + | 0.968169i | \(0.419472\pi\) |
−0.998130 | + | 0.0611338i | \(0.980528\pi\) | |||||||
\(602\) | 1416.51 | − | 1029.16i | 0.0959016 | − | 0.0696766i | ||||
\(603\) | 2777.12 | + | 17715.4i | 0.187551 | + | 1.19639i | ||||
\(604\) | − | 23611.4i | − | 1.59062i | ||||||
\(605\) | 8672.80 | − | 13868.8i | 0.582809 | − | 0.931978i | ||||
\(606\) | −390.870 | − | 1633.78i | −0.0262014 | − | 0.109518i | ||||
\(607\) | −7649.61 | − | 2485.51i | −0.511513 | − | 0.166201i | 0.0418773 | − | 0.999123i | \(-0.486666\pi\) |
−0.553390 | + | 0.832922i | \(0.686666\pi\) | |||||||
\(608\) | 3524.45 | + | 4850.99i | 0.235091 | + | 0.323575i | ||||
\(609\) | 11653.1 | + | 4837.67i | 0.775382 | + | 0.321892i | ||||
\(610\) | −1024.07 | − | 3151.75i | −0.0679725 | − | 0.209198i | ||||
\(611\) | −12562.1 | − | 38662.0i | −0.831762 | − | 2.55990i | ||||
\(612\) | −6123.11 | − | 979.737i | −0.404431 | − | 0.0647116i | ||||
\(613\) | 9620.73 | + | 13241.8i | 0.633895 | + | 0.872481i | 0.998272 | − | 0.0587702i | \(-0.0187179\pi\) |
−0.364377 | + | 0.931252i | \(0.618718\pi\) | |||||||
\(614\) | 8744.89 | + | 2841.39i | 0.574780 | + | 0.186757i | ||||
\(615\) | 461.745 | − | 110.469i | 0.0302754 | − | 0.00724315i | ||||
\(616\) | −12032.0 | + | 4376.97i | −0.786988 | + | 0.286288i | ||||
\(617\) | 10135.6i | 0.661334i | 0.943747 | + | 0.330667i | \(0.107274\pi\) | ||||
−0.943747 | + | 0.330667i | \(0.892726\pi\) | |||||||
\(618\) | −4217.06 | − | 335.247i | −0.274491 | − | 0.0218213i | ||||
\(619\) | 24380.8 | − | 17713.7i | 1.58312 | − | 1.15020i | 0.670106 | − | 0.742265i | \(-0.266249\pi\) |
0.913011 | − | 0.407936i | \(-0.133751\pi\) | |||||||
\(620\) | −1559.37 | + | 2146.29i | −0.101009 | + | 0.139028i | ||||
\(621\) | 16033.8 | + | 9877.94i | 1.03609 | + | 0.638306i | ||||
\(622\) | 5472.37 | − | 1778.08i | 0.352769 | − | 0.114622i | ||||
\(623\) | 5654.17 | + | 4108.00i | 0.363611 | + | 0.264179i | ||||
\(624\) | 10356.6 | − | 12106.6i | 0.664417 | − | 0.776687i | ||||
\(625\) | −5624.50 | + | 17310.4i | −0.359968 | + | 1.10787i | ||||
\(626\) | −4432.64 | −0.283009 | ||||||||
\(627\) | 6599.93 | − | 1823.48i | 0.420376 | − | 0.116145i | ||||
\(628\) | −733.177 | −0.0465875 | ||||||||
\(629\) | 82.0122 | − | 252.408i | 0.00519879 | − | 0.0160002i | ||||
\(630\) | −3560.67 | + | 6960.95i | −0.225175 | + | 0.440208i | ||||
\(631\) | 5433.06 | + | 3947.35i | 0.342768 | + | 0.249036i | 0.745829 | − | 0.666138i | \(-0.232054\pi\) |
−0.403061 | + | 0.915173i | \(0.632054\pi\) | |||||||
\(632\) | 2707.89 | − | 879.848i | 0.170434 | − | 0.0553773i | ||||
\(633\) | 6133.87 | + | 10027.4i | 0.385149 | + | 0.629623i | ||||
\(634\) | 39.8865 | − | 54.8990i | 0.00249857 | − | 0.00343899i | ||||
\(635\) | −22213.3 | + | 16138.9i | −1.38820 | + | 1.00859i | ||||
\(636\) | 978.614 | − | 12310.0i | 0.0610135 | − | 0.767488i | ||||
\(637\) | 12590.9i | 0.783158i | ||||||||
\(638\) | −3448.43 | − | 2326.85i | −0.213988 | − | 0.144390i | ||||
\(639\) | 47.1851 | + | 92.9692i | 0.00292115 | + | 0.00575556i | ||||
\(640\) | −17178.7 | − | 5581.71i | −1.06101 | − | 0.344745i | ||||
\(641\) | 7799.48 | + | 10735.1i | 0.480594 | + | 0.661481i | 0.978619 | − | 0.205682i | \(-0.0659411\pi\) |
−0.498025 | + | 0.867163i | \(0.665941\pi\) | |||||||
\(642\) | −441.183 | + | 1062.73i | −0.0271217 | + | 0.0653313i | ||||
\(643\) | −6532.11 | − | 20103.8i | −0.400624 | − | 1.23299i | −0.924494 | − | 0.381196i | \(-0.875512\pi\) |
0.523870 | − | 0.851798i | \(-0.324488\pi\) | |||||||
\(644\) | −6405.29 | − | 19713.5i | −0.391932 | − | 1.20624i | ||||
\(645\) | 1819.30 | − | 4382.37i | 0.111062 | − | 0.267528i | ||||
\(646\) | 744.050 | + | 1024.10i | 0.0453162 | + | 0.0623723i | ||||
\(647\) | −3941.10 | − | 1280.54i | −0.239475 | − | 0.0778103i | 0.186820 | − | 0.982394i | \(-0.440182\pi\) |
−0.426296 | + | 0.904584i | \(0.640182\pi\) | |||||||
\(648\) | −6742.31 | + | 9218.51i | −0.408739 | + | 0.558854i | ||||
\(649\) | 20557.1 | + | 5898.46i | 1.24335 | + | 0.356756i | ||||
\(650\) | 2171.28i | 0.131023i | ||||||||
\(651\) | 288.860 | − | 3633.57i | 0.0173907 | − | 0.218757i | ||||
\(652\) | 1754.78 | − | 1274.92i | 0.105402 | − | 0.0765793i | ||||
\(653\) | −4210.52 | + | 5795.29i | −0.252329 | + | 0.347300i | −0.916325 | − | 0.400435i | \(-0.868859\pi\) |
0.663997 | + | 0.747736i | \(0.268859\pi\) | |||||||
\(654\) | −4698.55 | − | 7680.97i | −0.280929 | − | 0.459250i | ||||
\(655\) | 23506.4 | − | 7637.69i | 1.40224 | − | 0.455617i | ||||
\(656\) | −232.584 | − | 168.982i | −0.0138428 | − | 0.0100574i | ||||
\(657\) | 4845.35 | + | 2478.49i | 0.287725 | + | 0.147177i | ||||
\(658\) | 3733.03 | − | 11489.1i | 0.221168 | − | 0.680686i | ||||
\(659\) | 15364.3 | 0.908207 | 0.454104 | − | 0.890949i | \(-0.349960\pi\) | ||||
0.454104 | + | 0.890949i | \(0.349960\pi\) | |||||||
\(660\) | −10009.6 | + | 12559.0i | −0.590338 | + | 0.740692i | ||||
\(661\) | 8389.18 | 0.493648 | 0.246824 | − | 0.969060i | \(-0.420613\pi\) | ||||
0.246824 | + | 0.969060i | \(0.420613\pi\) | |||||||
\(662\) | −2025.00 | + | 6232.31i | −0.118888 | + | 0.365900i | ||||
\(663\) | 8923.37 | − | 10431.2i | 0.522707 | − | 0.611032i | ||||
\(664\) | −9672.20 | − | 7027.27i | −0.565293 | − | 0.410709i | ||||
\(665\) | −9456.75 | + | 3072.68i | −0.551454 | + | 0.179178i | ||||
\(666\) | −159.727 | − | 160.233i | −0.00929324 | − | 0.00932269i | ||||
\(667\) | 8552.71 | − | 11771.8i | 0.496495 | − | 0.683367i | ||||
\(668\) | 3912.68 | − | 2842.73i | 0.226626 | − | 0.164653i | ||||
\(669\) | −16854.2 | − | 1339.87i | −0.974021 | − | 0.0774324i | ||||
\(670\) | 8585.64i | 0.495063i | ||||||||
\(671\) | 5756.61 | + | 7370.73i | 0.331194 | + | 0.424059i | ||||
\(672\) | 18792.6 | − | 4495.99i | 1.07878 | − | 0.258090i | ||||
\(673\) | 9770.13 | + | 3174.51i | 0.559600 | + | 0.181825i | 0.575141 | − | 0.818054i | \(-0.304947\pi\) |
−0.0155412 | + | 0.999879i | \(0.504947\pi\) | |||||||
\(674\) | 5961.68 | + | 8205.55i | 0.340705 | + | 0.468941i | ||||
\(675\) | 277.898 | + | 3641.48i | 0.0158464 | + | 0.207646i | ||||
\(676\) | 8713.69 | + | 26818.0i | 0.495772 | + | 1.52583i | ||||
\(677\) | 7904.45 | + | 24327.4i | 0.448734 | + | 1.38106i | 0.878337 | + | 0.478042i | \(0.158653\pi\) |
−0.429603 | + | 0.903018i | \(0.641347\pi\) | |||||||
\(678\) | 3432.38 | + | 1424.92i | 0.194424 | + | 0.0807134i | ||||
\(679\) | −9852.49 | − | 13560.8i | −0.556854 | − | 0.766444i | ||||
\(680\) | −6100.66 | − | 1982.22i | −0.344044 | − | 0.111787i | ||||
\(681\) | −551.723 | − | 2306.13i | −0.0310456 | − | 0.129767i | ||||
\(682\) | −331.457 | + | 1155.18i | −0.0186102 | + | 0.0648595i | ||||
\(683\) | − | 15463.3i | − | 0.866306i | −0.901320 | − | 0.433153i | \(-0.857401\pi\) | ||
0.901320 | − | 0.433153i | \(-0.142599\pi\) | |||||||
\(684\) | −6641.59 | + | 1041.16i | −0.371268 | + | 0.0582012i | ||||
\(685\) | −23959.9 | + | 17407.9i | −1.33644 | + | 0.970979i | ||||
\(686\) | 2551.40 | − | 3511.70i | 0.142001 | − | 0.195448i | ||||
\(687\) | −16678.2 | + | 10202.3i | −0.926218 | + | 0.566580i | ||||
\(688\) | −2732.60 | + | 887.875i | −0.151424 | + | 0.0492005i | ||||
\(689\) | 22115.9 | + | 16068.1i | 1.22286 | + | 0.888456i | ||||
\(690\) | 6851.84 | + | 5861.40i | 0.378036 | + | 0.323391i | ||||
\(691\) | −2060.01 | + | 6340.07i | −0.113410 | + | 0.349041i | −0.991612 | − | 0.129249i | \(-0.958743\pi\) |
0.878202 | + | 0.478290i | \(0.158743\pi\) | |||||||
\(692\) | 30970.0 | 1.70130 | ||||||||
\(693\) | 2727.50 | − | 21896.2i | 0.149508 | − | 1.20024i | ||||
\(694\) | −6312.17 | −0.345255 | ||||||||
\(695\) | 7131.09 | − | 21947.3i | 0.389205 | − | 1.19785i | ||||
\(696\) | 6705.60 | + | 5736.30i | 0.365194 | + | 0.312405i | ||||
\(697\) | −200.397 | − | 145.597i | −0.0108903 | − | 0.00791230i | ||||
\(698\) | 3339.38 | − | 1085.03i | 0.181085 | − | 0.0588381i | ||||
\(699\) | 3371.15 | − | 2062.18i | 0.182416 | − | 0.111586i | ||||
\(700\) | 2362.71 | − | 3251.99i | 0.127574 | − | 0.175591i | ||||
\(701\) | −13298.5 | + | 9661.94i | −0.716517 | + | 0.520580i | −0.885269 | − | 0.465078i | \(-0.846026\pi\) |
0.168753 | + | 0.985658i | \(0.446026\pi\) | |||||||
\(702\) | −4452.58 | − | 10822.0i | −0.239390 | − | 0.581839i | ||||
\(703\) | − | 287.725i | − | 0.0154364i | ||||||
\(704\) | 4911.80 | − | 170.680i | 0.262955 | − | 0.00913743i | ||||
\(705\) | −7617.37 | − | 31839.5i | −0.406931 | − | 1.70092i | ||||
\(706\) | −2451.11 | − | 796.414i | −0.130664 | − | 0.0424553i | ||||
\(707\) | −4046.66 | − | 5569.75i | −0.215262 | − | 0.296283i | ||||
\(708\) | −19393.0 | − | 8050.81i | −1.02942 | − | 0.427356i | ||||
\(709\) | 8365.69 | + | 25746.9i | 0.443131 | + | 1.36382i | 0.884520 | + | 0.466502i | \(0.154486\pi\) |
−0.441389 | + | 0.897316i | \(0.645514\pi\) | |||||||
\(710\) | 15.4256 | + | 47.4751i | 0.000815370 | + | 0.00250945i | ||||
\(711\) | −775.282 | + | 4845.32i | −0.0408936 | + | 0.255575i | ||||
\(712\) | 2873.08 | + | 3954.45i | 0.151226 | + | 0.208145i | ||||
\(713\) | −3997.83 | − | 1298.97i | −0.209986 | − | 0.0682285i | ||||
\(714\) | 3967.32 | − | 949.151i | 0.207946 | − | 0.0497494i | ||||
\(715\) | −12153.7 | − | 33410.0i | −0.635698 | − | 1.74750i | ||||
\(716\) | − | 14973.2i | − | 0.781530i | ||||||
\(717\) | −12787.7 | − | 1016.59i | −0.666063 | − | 0.0529504i | ||||
\(718\) | −6450.29 | + | 4686.41i | −0.335268 | + | 0.243587i | ||||
\(719\) | −20078.3 | + | 27635.5i | −1.04144 | + | 1.43342i | −0.145440 | + | 0.989367i | \(0.546460\pi\) |
−0.896001 | + | 0.444053i | \(0.853540\pi\) | |||||||
\(720\) | 9086.91 | − | 9058.21i | 0.470346 | − | 0.468860i | ||||
\(721\) | −16488.5 | + | 5357.44i | −0.851684 | + | 0.276729i | ||||
\(722\) | −4726.88 | − | 3434.28i | −0.243651 | − | 0.177023i | ||||
\(723\) | −10997.9 | + | 12856.3i | −0.565720 | + | 0.661313i | ||||
\(724\) | −2817.20 | + | 8670.45i | −0.144614 | + | 0.445076i | ||||
\(725\) | 2821.76 | 0.144548 | ||||||||
\(726\) | −2316.26 | + | 6896.57i | −0.118408 | + | 0.352556i | ||||
\(727\) | 17015.3 | 0.868034 | 0.434017 | − | 0.900905i | \(-0.357096\pi\) | ||||
0.434017 | + | 0.900905i | \(0.357096\pi\) | |||||||
\(728\) | −8599.25 | + | 26465.8i | −0.437788 | + | 1.34737i | ||||
\(729\) | −8852.57 | − | 17579.9i | −0.449757 | − | 0.893151i | ||||
\(730\) | 2108.16 | + | 1531.67i | 0.106886 | + | 0.0776570i | ||||
\(731\) | −2354.44 | + | 765.003i | −0.119127 | + | 0.0387068i | ||||
\(732\) | −4791.54 | − | 7832.98i | −0.241940 | − | 0.395513i | ||||
\(733\) | −997.945 | + | 1373.55i | −0.0502864 | + | 0.0692133i | −0.833420 | − | 0.552641i | \(-0.813620\pi\) |
0.783133 | + | 0.621854i | \(0.213620\pi\) | |||||||
\(734\) | −2346.01 | + | 1704.48i | −0.117974 | + | 0.0857132i | ||||
\(735\) | −803.561 | + | 10108.0i | −0.0403263 | + | 0.507264i | ||||
\(736\) | − | 22283.8i | − | 1.11602i | ||||||
\(737\) | −8283.12 | − | 22769.8i | −0.413993 | − | 1.13804i | ||||
\(738\) | −188.299 | + | 95.5684i | −0.00939213 | + | 0.00476683i | ||||
\(739\) | −2660.25 | − | 864.369i | −0.132421 | − | 0.0430261i | 0.242057 | − | 0.970262i | \(-0.422178\pi\) |
−0.374478 | + | 0.927236i | \(0.622178\pi\) | |||||||
\(740\) | 396.667 | + | 545.966i | 0.0197051 | + | 0.0271217i | ||||
\(741\) | 5706.01 | − | 13744.8i | 0.282882 | − | 0.681413i | ||||
\(742\) | 2510.32 | + | 7725.97i | 0.124201 | + | 0.382250i | ||||
\(743\) | −1643.20 | − | 5057.26i | −0.0811349 | − | 0.249708i | 0.902258 | − | 0.431196i | \(-0.141908\pi\) |
−0.983393 | + | 0.181489i | \(0.941908\pi\) | |||||||
\(744\) | 977.432 | − | 2354.46i | 0.0481645 | − | 0.116020i | ||||
\(745\) | −7601.55 | − | 10462.6i | −0.373824 | − | 0.514525i | ||||
\(746\) | 695.139 | + | 225.864i | 0.0341164 | + | 0.0110851i | ||||
\(747\) | 18373.2 | − | 9325.02i | 0.899919 | − | 0.456740i | ||||
\(748\) | 8373.84 | − | 290.983i | 0.409329 | − | 0.0142238i | ||||
\(749\) | 4715.72i | 0.230051i | ||||||||
\(750\) | 526.843 | − | 6627.15i | 0.0256501 | − | 0.322653i | ||||
\(751\) | −28880.8 | + | 20983.1i | −1.40330 | + | 1.01956i | −0.409043 | + | 0.912515i | \(0.634137\pi\) |
−0.994255 | + | 0.107040i | \(0.965863\pi\) | |||||||
\(752\) | −11652.1 | + | 16037.8i | −0.565038 | + | 0.777709i | ||||
\(753\) | 3869.50 | + | 6325.68i | 0.187268 | + | 0.306136i | ||||
\(754\) | −8599.14 | + | 2794.03i | −0.415335 | + | 0.134950i | ||||
\(755\) | 34054.5 | + | 24742.0i | 1.64155 | + | 1.19265i | ||||
\(756\) | −5107.39 | + | 21053.6i | −0.245706 | + | 1.01285i | ||||
\(757\) | 8960.44 | − | 27577.4i | 0.430215 | − | 1.32407i | −0.467697 | − | 0.883889i | \(-0.654916\pi\) |
0.897912 | − | 0.440176i | \(-0.145084\pi\) | |||||||
\(758\) | 10688.5 | 0.512169 | ||||||||
\(759\) | −23826.5 | − | 8934.52i | −1.13946 | − | 0.427276i | ||||
\(760\) | −6954.29 | −0.331919 | ||||||||
\(761\) | −7661.86 | + | 23580.8i | −0.364970 | + | 1.12326i | 0.585030 | + | 0.811012i | \(0.301083\pi\) |
−0.950000 | + | 0.312250i | \(0.898917\pi\) | |||||||
\(762\) | 7938.37 | − | 9279.77i | 0.377398 | − | 0.441169i | ||||
\(763\) | −29853.4 | − | 21689.8i | −1.41647 | − | 1.02913i | ||||
\(764\) | −9744.05 | + | 3166.03i | −0.461423 | + | 0.149926i | ||||
\(765\) | 7829.39 | − | 7804.66i | 0.370029 | − | 0.368860i | ||||
\(766\) | 1165.81 | − | 1604.59i | 0.0549899 | − | 0.0756871i | ||||
\(767\) | 37605.4 | − | 27321.9i | 1.77034 | − | 1.28623i | ||||
\(768\) | 2426.07 | + | 192.867i | 0.113989 | + | 0.00906183i | ||||
\(769\) | 6226.59i | 0.291985i | 0.989286 | + | 0.145993i | \(0.0466376\pi\) | ||||
−0.989286 | + | 0.145993i | \(0.953362\pi\) | |||||||
\(770\) | 2913.81 | − | 10155.1i | 0.136372 | − | 0.475278i | ||||
\(771\) | −31212.6 | + | 7467.38i | −1.45797 | + | 0.348808i | ||||
\(772\) | 13544.9 | + | 4401.02i | 0.631468 | + | 0.205176i | ||||
\(773\) | −1976.28 | − | 2720.12i | −0.0919558 | − | 0.126566i | 0.760560 | − | 0.649267i | \(-0.224924\pi\) |
−0.852516 | + | 0.522701i | \(0.824924\pi\) | |||||||
\(774\) | −333.438 | + | 2083.90i | −0.0154847 | + | 0.0967755i | ||||
\(775\) | −251.904 | − | 775.282i | −0.0116757 | − | 0.0359341i | ||||
\(776\) | −3622.66 | − | 11149.4i | −0.167585 | − | 0.515773i | ||||
\(777\) | −856.350 | − | 355.506i | −0.0395385 | − | 0.0164140i | ||||
\(778\) | 3567.25 | + | 4909.89i | 0.164386 | + | 0.226257i | ||||
\(779\) | −255.400 | − | 82.9846i | −0.0117467 | − | 0.00381673i | ||||
\(780\) | 8121.68 | + | 33947.5i | 0.372824 | + | 1.55835i | ||||
\(781\) | −86.7123 | − | 111.026i | −0.00397287 | − | 0.00508684i | ||||
\(782\) | − | 4704.35i | − | 0.215124i | ||||||
\(783\) | −14064.1 | + | 5786.49i | −0.641904 | + | 0.264103i | ||||
\(784\) | 4967.34 | − | 3608.98i | 0.226282 | − | 0.164403i | ||||
\(785\) | 768.286 | − | 1057.46i | 0.0349316 | − | 0.0480792i | ||||
\(786\) | −9377.47 | + | 5736.32i | −0.425551 | + | 0.260315i | ||||
\(787\) | 34887.9 | − | 11335.8i | 1.58020 | − | 0.513438i | 0.618092 | − | 0.786106i | \(-0.287906\pi\) |
0.962108 | + | 0.272667i | \(0.0879058\pi\) | |||||||
\(788\) | −29725.4 | − | 21596.8i | −1.34381 | − | 0.976338i | ||||
\(789\) | 20757.1 | + | 17756.7i | 0.936594 | + | 0.801209i | ||||
\(790\) | −726.014 | + | 2234.44i | −0.0326967 | + | 0.100630i | ||||
\(791\) | 15230.7 | 0.684627 | ||||||||
\(792\) | 6546.48 | − | 13974.9i | 0.293711 | − | 0.626992i | ||||
\(793\) | 20326.9 | 0.910253 | ||||||||
\(794\) | 2455.45 | − | 7557.10i | 0.109749 | − | 0.337773i | ||||
\(795\) | 16729.1 | + | 14310.9i | 0.746314 | + | 0.638434i | ||||
\(796\) | 11043.0 | + | 8023.20i | 0.491719 | + | 0.357255i | ||||
\(797\) | −17721.9 | + | 5758.19i | −0.787630 | + | 0.255917i | −0.675095 | − | 0.737731i | \(-0.735897\pi\) |
−0.112536 | + | 0.993648i | \(0.535897\pi\) | |||||||
\(798\) | 3772.61 | − | 2307.75i | 0.167354 | − | 0.102373i | ||||
\(799\) | −10039.6 | + | 13818.3i | −0.444525 | + | 0.611836i | ||||
\(800\) | 3496.09 | − | 2540.06i | 0.154507 | − | 0.112256i | ||||
\(801\) | −8322.30 | + | 1304.63i | −0.367109 | + | 0.0575491i | ||||
\(802\) | − | 6025.32i | − | 0.265289i | ||||||
\(803\) | −7068.72 | − | 2028.23i | −0.310647 | − | 0.0891343i | ||||
\(804\) | 5535.16 | + | 23136.2i | 0.242798 | + | 1.01486i | ||||
\(805\) | 35144.6 | + | 11419.2i | 1.53874 | + | 0.499966i | ||||
\(806\) | 1535.33 | + | 2113.19i | 0.0670962 | + | 0.0923500i | ||||
\(807\) | 10364.9 | + | 4302.87i | 0.452119 | + | 0.187693i | ||||
\(808\) | −1487.91 | − | 4579.32i | −0.0647829 | − | 0.199381i | ||||
\(809\) | 7917.87 | + | 24368.7i | 0.344101 | + | 1.05903i | 0.962063 | + | 0.272826i | \(0.0879582\pi\) |
−0.617963 | + | 0.786207i | \(0.712042\pi\) | |||||||
\(810\) | −2883.85 | − | 8972.07i | −0.125097 | − | 0.389193i | ||||
\(811\) | −9420.09 | − | 12965.6i | −0.407872 | − | 0.561388i | 0.554826 | − | 0.831967i | \(-0.312785\pi\) |
−0.962698 | + | 0.270579i | \(0.912785\pi\) | |||||||
\(812\) | 15919.6 | + | 5172.58i | 0.688013 | + | 0.223549i | ||||
\(813\) | 24608.3 | − | 5887.34i | 1.06156 | − | 0.253971i | ||||
\(814\) | 253.414 | + | 170.993i | 0.0109117 | + | 0.00736279i | ||||
\(815\) | 3866.87i | 0.166197i | ||||||||
\(816\) | −6673.01 | − | 530.489i | −0.286277 | − | 0.0227584i | ||||
\(817\) | −2171.31 | + | 1577.55i | −0.0929796 | + | 0.0675537i | ||||
\(818\) | −3838.64 | + | 5283.44i | −0.164077 | + | 0.225833i | ||||
\(819\) | −33858.0 | − | 33965.3i | −1.44456 | − | 1.44914i | ||||
\(820\) | 599.033 | − | 194.638i | 0.0255112 | − | 0.00828908i | ||||
\(821\) | 9711.96 | + | 7056.15i | 0.412850 | + | 0.299953i | 0.774754 | − | 0.632262i | \(-0.217873\pi\) |
−0.361905 | + | 0.932215i | \(0.617873\pi\) | |||||||
\(822\) | 8562.56 | − | 10009.4i | 0.363325 | − | 0.424719i | ||||
\(823\) | −1880.19 | + | 5786.64i | −0.0796348 | + | 0.245091i | −0.982946 | − | 0.183896i | \(-0.941129\pi\) |
0.903311 | + | 0.428986i | \(0.141129\pi\) | |||||||
\(824\) | −12125.3 | −0.512627 | ||||||||
\(825\) | −1314.18 | − | 4756.54i | −0.0554591 | − | 0.200729i | ||||
\(826\) | 13813.2 | 0.581866 | ||||||||
\(827\) | −1649.69 | + | 5077.22i | −0.0693655 | + | 0.213485i | −0.979730 | − | 0.200322i | \(-0.935801\pi\) |
0.910365 | + | 0.413807i | \(0.135801\pi\) | |||||||
\(828\) | 22242.9 | + | 11377.7i | 0.933566 | + | 0.477537i | ||||
\(829\) | −2149.37 | − | 1561.61i | −0.0900491 | − | 0.0654245i | 0.541850 | − | 0.840475i | \(-0.317724\pi\) |
−0.631899 | + | 0.775051i | \(0.717724\pi\) | |||||||
\(830\) | 9382.35 | − | 3048.51i | 0.392369 | − | 0.127488i | ||||
\(831\) | −15756.8 | − | 25758.4i | −0.657757 | − | 1.07527i | ||||
\(832\) | 6278.75 | − | 8641.95i | 0.261630 | − | 0.360103i | ||||
\(833\) | 4279.91 | − | 3109.54i | 0.178019 | − | 0.129339i | ||||
\(834\) | −813.373 | + | 10231.4i | −0.0337708 | + | 0.424802i | ||||
\(835\) | 8622.08i | 0.357340i | ||||||||
\(836\) | 8536.54 | − | 3105.39i | 0.353161 | − | 0.128471i | ||||
\(837\) | 2845.38 | + | 3347.56i | 0.117504 | + | 0.138242i | ||||
\(838\) | −145.020 | − | 47.1199i | −0.00597809 | − | 0.00194240i | ||||
\(839\) | 10285.8 | + | 14157.1i | 0.423246 | + | 0.582548i | 0.966387 | − | 0.257093i | \(-0.0827648\pi\) |
−0.543140 | + | 0.839642i | \(0.682765\pi\) | |||||||
\(840\) | −8592.52 | + | 20697.9i | −0.352941 | + | 0.850172i | ||||
\(841\) | −3905.54 | − | 12020.0i | −0.160135 | − | 0.492846i | ||||
\(842\) | −1157.29 | − | 3561.78i | −0.0473670 | − | 0.145780i | ||||
\(843\) | 11149.3 | − | 26856.8i | 0.455520 | − | 1.09727i | ||||
\(844\) | 9166.11 | + | 12616.1i | 0.373828 | + | 0.514529i | ||||
\(845\) | −47810.3 | − | 15534.5i | −1.94642 | − | 0.632430i | ||||
\(846\) | 6589.90 | + | 12984.1i | 0.267808 | + | 0.527664i | ||||
\(847\) | 2069.60 | + | 29743.3i | 0.0839579 | + | 1.20660i | ||||
\(848\) | − | 13330.7i | − | 0.539834i | ||||||
\(849\) | −363.121 | + | 4567.70i | −0.0146788 | + | 0.184644i | ||||
\(850\) | 738.062 | − | 536.233i | 0.0297827 | − | 0.0216384i | ||||
\(851\) | −628.512 | + | 865.073i | −0.0253174 | + | 0.0348464i | ||||
\(852\) | 72.1753 | + | 117.989i | 0.00290221 | + | 0.00474440i | ||||
\(853\) | −2424.09 | + | 787.633i | −0.0973026 | + | 0.0316155i | −0.357264 | − | 0.934004i | \(-0.616290\pi\) |
0.259961 | + | 0.965619i | \(0.416290\pi\) | |||||||
\(854\) | 4886.86 | + | 3550.51i | 0.195814 | + | 0.142267i | ||||
\(855\) | 5457.97 | − | 10670.1i | 0.218314 | − | 0.426796i | ||||
\(856\) | −1019.17 | + | 3136.69i | −0.0406946 | + | 0.125245i | ||||
\(857\) | −21613.5 | −0.861498 | −0.430749 | − | 0.902472i | \(-0.641751\pi\) | ||||
−0.430749 | + | 0.902472i | \(0.641751\pi\) | |||||||
\(858\) | 8714.66 | + | 13194.0i | 0.346752 | + | 0.524983i | ||||
\(859\) | 13771.6 | 0.547009 | 0.273504 | − | 0.961871i | \(-0.411817\pi\) | ||||
0.273504 | + | 0.961871i | \(0.411817\pi\) | |||||||
\(860\) | 1945.25 | − | 5986.86i | 0.0771307 | − | 0.237384i | ||||
\(861\) | −562.551 | + | 657.608i | −0.0222668 | + | 0.0260293i | ||||
\(862\) | −2765.18 | − | 2009.02i | −0.109260 | − | 0.0793821i | ||||
\(863\) | −9095.45 | + | 2955.29i | −0.358763 | + | 0.116569i | −0.482852 | − | 0.875702i | \(-0.660399\pi\) |
0.124089 | + | 0.992271i | \(0.460399\pi\) | |||||||
\(864\) | −12216.3 | + | 19829.4i | −0.481026 | + | 0.780798i | ||||
\(865\) | −32453.0 | + | 44667.7i | −1.27565 | + | 1.75578i | ||||
\(866\) | −11970.9 | + | 8697.40i | −0.469733 | + | 0.341281i | ||||
\(867\) | 19698.9 | + | 1566.01i | 0.771636 | + | 0.0613432i | ||||
\(868\) | − | 4835.68i | − | 0.189094i | ||||||
\(869\) | −230.259 | − | 6626.36i | −0.00898851 | − | 0.258670i | ||||
\(870\) | −7081.69 | + | 1694.24i | −0.275968 | + | 0.0660231i | ||||
\(871\) | −50084.7 | − | 16273.5i | −1.94840 | − | 0.633073i | ||||
\(872\) | −15169.5 | − | 20879.1i | −0.589112 | − | 0.810843i | ||||
\(873\) | 19949.9 | + | 3192.12i | 0.773429 | + | 0.123754i | ||||
\(874\) | −1576.03 | − | 4850.52i | −0.0609954 | − | 0.187725i | ||||
\(875\) | −8419.27 | − | 25911.8i | −0.325284 | − | 1.00112i | ||||
\(876\) | 6668.44 | + | 2768.34i | 0.257198 | + | 0.106773i | ||||
\(877\) | −23356.8 | − | 32147.9i | −0.899321 | − | 1.23781i | −0.970684 | − | 0.240358i | \(-0.922735\pi\) |
0.0713636 | − | 0.997450i | \(-0.477265\pi\) | |||||||
\(878\) | −5888.21 | − | 1913.20i | −0.226330 | − | 0.0735390i | ||||
\(879\) | 4468.24 | + | 18676.6i | 0.171456 | + | 0.716663i | ||||
\(880\) | −9697.12 | + | 14371.3i | −0.371466 | + | 0.550517i | ||||
\(881\) | − | 50105.5i | − | 1.91612i | −0.286573 | − | 0.958058i | \(-0.592516\pi\) | ||
0.286573 | − | 0.958058i | \(-0.407484\pi\) | |||||||
\(882\) | −698.450 | − | 4455.44i | −0.0266644 | − | 0.170094i | ||||
\(883\) | 18500.4 | − | 13441.3i | 0.705084 | − | 0.512273i | −0.176500 | − | 0.984301i | \(-0.556478\pi\) |
0.881584 | + | 0.472027i | \(0.156478\pi\) | |||||||
\(884\) | 10704.3 | − | 14733.2i | 0.407267 | − | 0.560554i | ||||
\(885\) | 31933.2 | − | 19534.0i | 1.21291 | − | 0.741952i | ||||
\(886\) | 9019.30 | − | 2930.55i | 0.341997 | − | 0.111122i | ||||
\(887\) | −11717.8 | − | 8513.46i | −0.443567 | − | 0.322271i | 0.343483 | − | 0.939159i | \(-0.388393\pi\) |
−0.787051 | + | 0.616888i | \(0.788393\pi\) | |||||||
\(888\) | −492.774 | − | 421.543i | −0.0186221 | − | 0.0159302i | ||||
\(889\) | 15465.5 | − | 47598.0i | 0.583461 | − | 1.79571i | ||||
\(890\) | −4033.35 | −0.151908 | ||||||||
\(891\) | 16304.1 | + | 21012.4i | 0.613030 | + | 0.790060i | ||||
\(892\) | −22430.1 | −0.841946 | ||||||||
\(893\) | −5722.19 | + | 17611.1i | −0.214430 | + | 0.659947i | ||||
\(894\) | 4370.84 | + | 3739.04i | 0.163516 | + | 0.139879i | ||||
\(895\) | 21595.7 | + | 15690.2i | 0.806554 | + | 0.585996i | ||||
\(896\) | 31312.5 | − | 10174.1i | 1.16750 | − | 0.379343i | ||||
\(897\) | −47179.9 | + | 28860.6i | −1.75618 | + | 1.07428i | ||||
\(898\) | 758.872 | − | 1044.50i | 0.0282003 | − | 0.0388144i | ||||
\(899\) | 2746.27 | − | 1995.28i | 0.101884 | − | 0.0740227i | ||||
\(900\) | 750.357 | + | 4786.56i | 0.0277910 | + | 0.177280i | ||||
\(901\) | − | 11485.9i | − | 0.424696i | ||||||
\(902\) | 224.871 | − | 175.627i | 0.00830088 | − | 0.00648307i | ||||
\(903\) | 2012.40 | + | 8411.57i | 0.0741624 | + | 0.309988i | ||||
\(904\) | 10130.8 | + | 3291.69i | 0.372726 | + | 0.121106i | ||||
\(905\) | −9553.21 | − | 13148.9i | −0.350894 | − | 0.482965i | ||||
\(906\) | −17291.0 | − | 7178.18i | −0.634055 | − | 0.263222i | ||||
\(907\) | 3968.47 | + | 12213.7i | 0.145282 | + | 0.447132i | 0.997047 | − | 0.0767917i | \(-0.0244676\pi\) |
−0.851765 | + | 0.523924i | \(0.824468\pi\) | |||||||
\(908\) | −972.093 | − | 2991.80i | −0.0355287 | − | 0.109346i | ||||
\(909\) | 8193.92 | + | 1311.08i | 0.298983 | + | 0.0478392i | ||||
\(910\) | −13496.9 | − | 18576.9i | −0.491668 | − | 0.676723i | ||||
\(911\) | 27461.8 | + | 8922.88i | 0.998738 | + | 0.324510i | 0.762361 | − | 0.647152i | \(-0.224040\pi\) |
0.236377 | + | 0.971662i | \(0.424040\pi\) | |||||||
\(912\) | −7058.07 | + | 1688.59i | −0.256268 | + | 0.0613101i | ||||
\(913\) | −21941.7 | + | 17136.7i | −0.795360 | + | 0.621183i | ||||
\(914\) | 5843.67i | 0.211478i | ||||||||
\(915\) | 16318.4 | + | 1297.28i | 0.589585 | + | 0.0468706i | ||||
\(916\) | −20983.9 | + | 15245.7i | −0.756908 | + | 0.549926i | ||||
\(917\) | −26480.4 | + | 36447.2i | −0.953610 | + | 1.31253i | ||||
\(918\) | −2578.99 | + | 4186.19i | −0.0927225 | + | 0.150507i | ||||
\(919\) | −23014.9 | + | 7477.99i | −0.826105 | + | 0.268418i | −0.691404 | − | 0.722468i | \(-0.743008\pi\) |
−0.134701 | + | 0.990886i | \(0.543008\pi\) | |||||||
\(920\) | 20908.7 | + | 15191.1i | 0.749282 | + | 0.544385i | ||||
\(921\) | −29525.3 | + | 34514.4i | −1.05634 | + | 1.23484i | ||||
\(922\) | −6021.74 | + | 18533.0i | −0.215093 | + | 0.661987i | ||||
\(923\) | −306.186 | −0.0109190 | ||||||||
\(924\) | 1305.02 | − | 29244.0i | 0.0464633 | − | 1.04119i | ||||
\(925\) | −207.363 | −0.00737085 | ||||||||
\(926\) | −2503.36 | + | 7704.56i | −0.0888397 | + | 0.273421i | ||||
\(927\) | 9516.37 | − | 18604.1i | 0.337172 | − | 0.659158i | ||||
\(928\) | 14558.5 | + | 10577.3i | 0.514983 | + | 0.374157i | ||||
\(929\) | 29913.2 | − | 9719.39i | 1.05643 | − | 0.343254i | 0.271239 | − | 0.962512i | \(-0.412566\pi\) |
0.785188 | + | 0.619258i | \(0.212566\pi\) | |||||||
\(930\) | 1097.69 | + | 1794.45i | 0.0387040 | + | 0.0632714i | ||||
\(931\) | 3371.15 | − | 4639.99i | 0.118674 | − | 0.163340i | ||||
\(932\) | 4241.47 | − | 3081.61i | 0.149071 | − | 0.108306i | ||||
\(933\) | −2252.45 | + | 28333.6i | −0.0790376 | + | 0.994213i | ||||
\(934\) | − | 2365.12i | − | 0.0828578i | ||||||
\(935\) | −8355.15 | + | 12382.4i | −0.292238 | + | 0.433100i | ||||
\(936\) | −15180.2 | − | 29909.7i | −0.530108 | − | 1.04448i | ||||
\(937\) | 17684.3 | + | 5745.99i | 0.616566 | + | 0.200334i | 0.600615 | − | 0.799538i | \(-0.294922\pi\) |
0.0159509 | + | 0.999873i | \(0.494922\pi\) | |||||||
\(938\) | −9198.53 | − | 12660.7i | −0.320195 | − | 0.440710i | ||||
\(939\) | 8395.19 | − | 20222.5i | 0.291764 | − | 0.702809i | ||||
\(940\) | −13421.2 | − | 41306.2i | −0.465693 | − | 1.43325i | ||||
\(941\) | 5528.45 | + | 17014.8i | 0.191522 | + | 0.589444i | 1.00000 | 0.000917057i | \(0.000291908\pi\) | |
−0.808478 | + | 0.588527i | \(0.799708\pi\) | |||||||
\(942\) | −222.896 | + | 536.917i | −0.00770950 | + | 0.0185708i | ||||
\(943\) | 586.611 | + | 807.401i | 0.0202574 | + | 0.0278819i | ||||
\(944\) | −21557.9 | − | 7004.58i | −0.743273 | − | 0.241504i | ||||
\(945\) | −25013.5 | − | 29428.1i | −0.861046 | − | 1.01301i | ||||
\(946\) | −99.0312 | − | 2849.90i | −0.00340358 | − | 0.0979474i | ||||
\(947\) | 43915.9i | 1.50694i | 0.657481 | + | 0.753471i | \(0.271622\pi\) | ||||
−0.657481 | + | 0.753471i | \(0.728378\pi\) | |||||||
\(948\) | −515.886 | + | 6489.33i | −0.0176743 | + | 0.222324i | ||||
\(949\) | −12930.9 | + | 9394.87i | −0.442314 | + | 0.321360i | ||||
\(950\) | 581.348 | − | 800.156i | 0.0198541 | − | 0.0273268i | ||||
\(951\) | 174.917 | + | 285.946i | 0.00596432 | + | 0.00975019i | ||||
\(952\) | 11120.0 | − | 3613.10i | 0.378572 | − | 0.123005i | ||||
\(953\) | −27593.5 | − | 20047.9i | −0.937924 | − | 0.681442i | 0.00999580 | − | 0.999950i | \(-0.496818\pi\) |
−0.947920 | + | 0.318508i | \(0.896818\pi\) | |||||||
\(954\) | −8717.27 | − | 4459.06i | −0.295841 | − | 0.151328i | ||||
\(955\) | 5644.31 | − | 17371.4i | 0.191252 | − | 0.588613i | ||||
\(956\) | −17018.4 | −0.575746 | ||||||||
\(957\) | 17146.7 | − | 11325.4i | 0.579179 | − | 0.382549i | ||||
\(958\) | 507.423 | 0.0171128 | ||||||||
\(959\) | 16681.6 | − | 51340.5i | 0.561705 | − | 1.72875i | ||||
\(960\) | 5592.10 | − | 6537.03i | 0.188004 | − | 0.219773i | ||||
\(961\) | 23308.1 | + | 16934.3i | 0.782386 | + | 0.568437i | ||||
\(962\) | 631.924 | − | 205.325i | 0.0211788 | − | 0.00688143i | ||||
\(963\) | −4012.81 | − | 4025.52i | −0.134279 | − | 0.134705i | ||||
\(964\) | −13192.8 | + | 18158.4i | −0.440780 | + | 0.606682i | ||||
\(965\) | −20541.1 | + | 14924.0i | −0.685225 | + | 0.497845i | ||||
\(966\) | −16383.8 | − | 1302.47i | −0.545693 | − | 0.0433813i | ||||
\(967\) | 25107.8i | 0.834967i | 0.908684 | + | 0.417484i | \(0.137088\pi\) | ||||
−0.908684 | + | 0.417484i | \(0.862912\pi\) | |||||||
\(968\) | −5051.59 | + | 20231.2i | −0.167732 | + | 0.671753i | ||||
\(969\) | −6081.31 | + | 1454.91i | −0.201610 | + | 0.0482336i | ||||
\(970\) | 9200.01 | + | 2989.26i | 0.304530 | + | 0.0989480i | ||||
\(971\) | 27416.3 | + | 37735.3i | 0.906109 | + | 1.24715i | 0.968478 | + | 0.249099i | \(0.0801345\pi\) |
−0.0623689 | + | 0.998053i | \(0.519866\pi\) | |||||||
\(972\) | −13555.6 | − | 22318.3i | −0.447319 | − | 0.736481i | ||||
\(973\) | 12998.2 | + | 40004.3i | 0.428266 | + | 1.31807i | ||||
\(974\) | 2336.65 | + | 7191.48i | 0.0768699 | + | 0.236581i | ||||
\(975\) | −9905.80 | − | 4112.30i | −0.325374 | − | 0.135076i | ||||
\(976\) | −5826.37 | − | 8019.31i | −0.191084 | − | 0.263004i | ||||
\(977\) | 41308.0 | + | 13421.8i | 1.35267 | + | 0.439510i | 0.893590 | − | 0.448884i | \(-0.148178\pi\) |
0.459082 | + | 0.888394i | \(0.348178\pi\) | |||||||
\(978\) | −400.167 | − | 1672.64i | −0.0130838 | − | 0.0546884i | ||||
\(979\) | 10696.8 | − | 3891.23i | 0.349204 | − | 0.127032i | ||||
\(980\) | 13452.1i | 0.438480i | ||||||||
\(981\) | 43940.9 | − | 6888.31i | 1.43010 | − | 0.224186i | ||||
\(982\) | 8799.06 | − | 6392.89i | 0.285936 | − | 0.207745i | ||||
\(983\) | 30590.0 | − | 42103.6i | 0.992544 | − | 1.36612i | 0.0627533 | − | 0.998029i | \(-0.480012\pi\) |
0.929790 | − | 0.368090i | \(-0.119988\pi\) | |||||||
\(984\) | −516.308 | + | 315.832i | −0.0167269 | + | 0.0102321i | ||||
\(985\) | 62297.7 | − | 20241.8i | 2.01520 | − | 0.654778i | ||||
\(986\) | 3073.44 | + | 2232.99i | 0.0992682 | + | 0.0721225i | ||||
\(987\) | 45345.2 | + | 38790.6i | 1.46237 | + | 1.25098i | ||||
\(988\) | 6101.03 | − | 18777.0i | 0.196457 | − | 0.604633i | ||||
\(989\) | 9974.24 | 0.320690 | ||||||||
\(990\) | 6154.07 | + | 11148.3i | 0.197565 | + | 0.357895i | ||||
\(991\) | 60025.3 | 1.92408 | 0.962042 | − | 0.272900i | \(-0.0879829\pi\) | ||||
0.962042 | + | 0.272900i | \(0.0879829\pi\) | |||||||
\(992\) | 1606.47 | − | 4944.21i | 0.0514168 | − | 0.158245i | ||||
\(993\) | −24597.7 | − | 21042.1i | −0.786089 | − | 0.672459i | ||||
\(994\) | −73.6113 | − | 53.4817i | −0.00234890 | − | 0.00170658i | ||||
\(995\) | −23143.6 | + | 7519.81i | −0.737388 | + | 0.239592i | ||||
\(996\) | 23317.7 | − | 14263.8i | 0.741818 | − | 0.453780i | ||||
\(997\) | 20708.7 | − | 28503.1i | 0.657825 | − | 0.905419i | −0.341582 | − | 0.939852i | \(-0.610963\pi\) |
0.999407 | + | 0.0344335i | \(0.0109627\pi\) | |||||||
\(998\) | 7261.10 | − | 5275.50i | 0.230307 | − | 0.167328i | ||||
\(999\) | 1033.53 | − | 425.231i | 0.0327322 | − | 0.0134672i |
(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 | 33.4.f.a.2.6 | yes | 40 | |
3.2 | odd | 2 | inner | 33.4.f.a.2.5 | ✓ | 40 | |
11.4 | even | 5 | 363.4.d.d.362.24 | 40 | |||
11.6 | odd | 10 | inner | 33.4.f.a.17.5 | yes | 40 | |
11.7 | odd | 10 | 363.4.d.d.362.18 | 40 | |||
33.17 | even | 10 | inner | 33.4.f.a.17.6 | yes | 40 | |
33.26 | odd | 10 | 363.4.d.d.362.17 | 40 | |||
33.29 | even | 10 | 363.4.d.d.362.23 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.4.f.a.2.5 | ✓ | 40 | 3.2 | odd | 2 | inner | |
33.4.f.a.2.6 | yes | 40 | 1.1 | even | 1 | trivial | |
33.4.f.a.17.5 | yes | 40 | 11.6 | odd | 10 | inner | |
33.4.f.a.17.6 | yes | 40 | 33.17 | even | 10 | inner | |
363.4.d.d.362.17 | 40 | 33.26 | odd | 10 | |||
363.4.d.d.362.18 | 40 | 11.7 | odd | 10 | |||
363.4.d.d.362.23 | 40 | 33.29 | even | 10 | |||
363.4.d.d.362.24 | 40 | 11.4 | even | 5 |