Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,3,Mod(269,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.269");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.j (of order \(6\), degree \(2\), not 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: | \(22.0709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.2 | ||
Character | \(\chi\) | \(=\) | 810.269 |
Dual form | 810.3.j.g.539.2 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 1.22474i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | − | 1.73205i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2.51279 | + | 4.32272i | 0.502558 | + | 0.864544i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.12645 | + | 2.95976i | 0.732350 | + | 0.422822i | 0.819281 | − | 0.573392i | \(-0.194373\pi\) |
−0.0869313 | + | 0.996214i | \(0.527706\pi\) | |||||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.07104 | + | 0.0209028i | −0.707104 | + | 0.00209028i | ||||
\(11\) | −3.29935 | − | 1.90488i | −0.299941 | − | 0.173171i | 0.342476 | − | 0.939527i | \(-0.388735\pi\) |
−0.642416 | + | 0.766356i | \(0.722068\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 19.2513 | − | 11.1148i | 1.48087 | − | 0.854982i | 0.481107 | − | 0.876662i | \(-0.340235\pi\) |
0.999765 | + | 0.0216805i | \(0.00690166\pi\) | |||||||
\(14\) | −7.24989 | + | 4.18573i | −0.517850 | + | 0.298981i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.20411 | 0.0708299 | 0.0354150 | − | 0.999373i | \(-0.488725\pi\) | ||||
0.0354150 | + | 0.999373i | \(0.488725\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 29.3606 | 1.54529 | 0.772647 | − | 0.634836i | \(-0.218932\pi\) | ||||
0.772647 | + | 0.634836i | \(0.218932\pi\) | |||||||
\(20\) | 4.97438 | − | 8.67500i | 0.248719 | − | 0.433750i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.66598 | − | 2.69391i | 0.212090 | − | 0.122450i | ||||
\(23\) | −8.07107 | − | 13.9795i | −0.350916 | − | 0.607805i | 0.635494 | − | 0.772106i | \(-0.280796\pi\) |
−0.986410 | + | 0.164301i | \(0.947463\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.3718 | + | 21.7242i | −0.494871 | + | 0.868966i | ||||
\(26\) | 31.4373i | 1.20913i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 11.8390i | − | 0.422822i | ||||||
\(29\) | 39.2196 | + | 22.6435i | 1.35240 | + | 0.780809i | 0.988585 | − | 0.150662i | \(-0.0481406\pi\) |
0.363815 | + | 0.931471i | \(0.381474\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −21.8878 | − | 37.9108i | −0.706059 | − | 1.22293i | −0.966308 | − | 0.257388i | \(-0.917138\pi\) |
0.260249 | − | 0.965541i | \(-0.416195\pi\) | |||||||
\(32\) | −2.82843 | − | 4.89898i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.851433 | + | 1.47473i | −0.0250422 | + | 0.0433743i | ||||
\(35\) | 0.0874935 | + | 29.5974i | 0.00249981 | + | 0.845641i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 48.4190i | − | 1.30862i | −0.756226 | − | 0.654311i | \(-0.772959\pi\) | ||
0.756226 | − | 0.654311i | \(-0.227041\pi\) | |||||||
\(38\) | −20.7611 | + | 35.9592i | −0.546344 | + | 0.946295i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.10724 | + | 12.2265i | 0.177681 | + | 0.305662i | ||||
\(41\) | −2.35652 | + | 1.36054i | −0.0574761 | + | 0.0331838i | −0.528463 | − | 0.848957i | \(-0.677231\pi\) |
0.470987 | + | 0.882140i | \(0.343898\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 17.3080 | + | 9.99280i | 0.402513 | + | 0.232391i | 0.687568 | − | 0.726120i | \(-0.258679\pi\) |
−0.285055 | + | 0.958511i | \(0.592012\pi\) | |||||||
\(44\) | 7.61952i | 0.173171i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 22.8284 | 0.496270 | ||||||||
\(47\) | −12.1492 | + | 21.0431i | −0.258495 | + | 0.447726i | −0.965839 | − | 0.259143i | \(-0.916560\pi\) |
0.707344 | + | 0.706869i | \(0.249893\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.97968 | − | 12.0892i | −0.142442 | − | 0.246717i | ||||
\(50\) | −17.8584 | − | 30.5136i | −0.357168 | − | 0.610271i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −38.5027 | − | 22.2295i | −0.740436 | − | 0.427491i | ||||
\(53\) | 10.8425 | 0.204576 | 0.102288 | − | 0.994755i | \(-0.467384\pi\) | ||||
0.102288 | + | 0.994755i | \(0.467384\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0563102 | − | 19.0487i | −0.00102382 | − | 0.346340i | ||||
\(56\) | 14.4998 | + | 8.37146i | 0.258925 | + | 0.149490i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −55.4649 | + | 32.0227i | −0.956292 | + | 0.552115i | ||||
\(59\) | 16.7913 | − | 9.69448i | 0.284599 | − | 0.164313i | −0.350905 | − | 0.936411i | \(-0.614126\pi\) |
0.635504 | + | 0.772098i | \(0.280793\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.19954 | + | 15.9341i | −0.150812 | + | 0.261214i | −0.931526 | − | 0.363674i | \(-0.881522\pi\) |
0.780714 | + | 0.624888i | \(0.214856\pi\) | |||||||
\(62\) | 61.9081 | 0.998518 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 96.4205 | + | 55.2890i | 1.48339 | + | 0.850600i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 71.9917 | − | 41.5645i | 1.07450 | − | 0.620365i | 0.145095 | − | 0.989418i | \(-0.453651\pi\) |
0.929408 | + | 0.369053i | \(0.120318\pi\) | |||||||
\(68\) | −1.20411 | − | 2.08558i | −0.0177075 | − | 0.0306703i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −36.3112 | − | 20.8214i | −0.518731 | − | 0.297448i | ||||
\(71\) | 121.784i | 1.71527i | 0.514258 | + | 0.857635i | \(0.328067\pi\) | ||||
−0.514258 | + | 0.857635i | \(0.671933\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 105.116i | 1.43994i | 0.694003 | + | 0.719972i | \(0.255845\pi\) | ||||
−0.694003 | + | 0.719972i | \(0.744155\pi\) | |||||||
\(74\) | 59.3009 | + | 34.2374i | 0.801364 | + | 0.462668i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −29.3606 | − | 50.8540i | −0.386324 | − | 0.669132i | ||||
\(77\) | −11.2760 | − | 19.5305i | −0.146441 | − | 0.253643i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −47.1052 | + | 81.5887i | −0.596269 | + | 1.03277i | 0.397098 | + | 0.917776i | \(0.370017\pi\) |
−0.993366 | + | 0.114991i | \(0.963316\pi\) | |||||||
\(80\) | −19.9999 | + | 0.0591221i | −0.249999 | + | 0.000739026i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 3.84818i | − | 0.0469290i | ||||||
\(83\) | 47.3213 | − | 81.9629i | 0.570136 | − | 0.987505i | −0.426415 | − | 0.904528i | \(-0.640224\pi\) |
0.996551 | − | 0.0829774i | \(-0.0264429\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.02567 | + | 5.20502i | 0.0355961 | + | 0.0612356i | ||||
\(86\) | −24.4773 | + | 14.1320i | −0.284619 | + | 0.164325i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −9.33197 | − | 5.38781i | −0.106045 | − | 0.0612251i | ||||
\(89\) | 132.665i | 1.49062i | 0.666718 | + | 0.745310i | \(0.267698\pi\) | ||||
−0.666718 | + | 0.745310i | \(0.732302\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 131.588 | 1.44602 | ||||||||
\(92\) | −16.1421 | + | 27.9590i | −0.175458 | + | 0.303902i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.1816 | − | 29.7595i | −0.182783 | − | 0.316590i | ||||
\(95\) | 73.7770 | + | 126.918i | 0.776600 | + | 1.33597i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 103.065 | + | 59.5043i | 1.06252 | + | 0.613447i | 0.926129 | − | 0.377208i | \(-0.123116\pi\) |
0.136392 | + | 0.990655i | \(0.456449\pi\) | |||||||
\(98\) | 19.7415 | 0.201444 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 49.9991 | − | 0.295609i | 0.499991 | − | 0.00295609i | ||||
\(101\) | 20.6118 | + | 11.9002i | 0.204077 | + | 0.117824i | 0.598556 | − | 0.801081i | \(-0.295741\pi\) |
−0.394479 | + | 0.918905i | \(0.629075\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.57552 | − | 2.06432i | 0.0347137 | − | 0.0200420i | −0.482543 | − | 0.875872i | \(-0.660287\pi\) |
0.517256 | + | 0.855830i | \(0.326953\pi\) | |||||||
\(104\) | 54.4510 | − | 31.4373i | 0.523567 | − | 0.302282i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.66683 | + | 13.2793i | −0.0723285 | + | 0.125277i | ||||
\(107\) | −117.008 | −1.09353 | −0.546765 | − | 0.837286i | \(-0.684141\pi\) | ||||
−0.546765 | + | 0.837286i | \(0.684141\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −84.3413 | −0.773774 | −0.386887 | − | 0.922127i | \(-0.626450\pi\) | ||||
−0.386887 | + | 0.922127i | \(0.626450\pi\) | |||||||
\(110\) | 23.3696 | + | 13.4005i | 0.212451 | + | 0.121823i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −20.5058 | + | 11.8390i | −0.183087 | + | 0.105706i | ||||
\(113\) | 40.0727 | + | 69.4080i | 0.354626 | + | 0.614230i | 0.987054 | − | 0.160389i | \(-0.0512750\pi\) |
−0.632428 | + | 0.774619i | \(0.717942\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 40.1486 | − | 70.0165i | 0.349118 | − | 0.608839i | ||||
\(116\) | − | 90.5738i | − | 0.780809i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 27.4201i | 0.232374i | ||||||||
\(119\) | 6.17280 | + | 3.56387i | 0.0518723 | + | 0.0299485i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −53.2429 | − | 92.2194i | −0.440024 | − | 0.762143i | ||||
\(122\) | −13.0101 | − | 22.5342i | −0.106640 | − | 0.184706i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −43.7756 | + | 75.8216i | −0.353029 | + | 0.611465i | ||||
\(125\) | −124.995 | + | 1.10853i | −0.999961 | + | 0.00886821i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 91.3285i | − | 0.719122i | −0.933122 | − | 0.359561i | \(-0.882926\pi\) | ||
0.933122 | − | 0.359561i | \(-0.117074\pi\) | |||||||
\(128\) | −5.65685 | + | 9.79796i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −135.895 | + | 78.9953i | −1.04534 | + | 0.607656i | ||||
\(131\) | −197.410 | + | 113.974i | −1.50694 | + | 0.870034i | −0.506976 | + | 0.861960i | \(0.669237\pi\) |
−0.999967 | + | 0.00807357i | \(0.997430\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 150.516 | + | 86.9002i | 1.13170 | + | 0.653385i | ||||
\(134\) | 117.562i | 0.877329i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.40573 | 0.0250422 | ||||||||
\(137\) | 61.3594 | − | 106.278i | 0.447879 | − | 0.775749i | −0.550369 | − | 0.834922i | \(-0.685513\pi\) |
0.998248 | + | 0.0591727i | \(0.0188463\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 19.2401 | + | 33.3249i | 0.138418 | + | 0.239747i | 0.926898 | − | 0.375313i | \(-0.122465\pi\) |
−0.788480 | + | 0.615061i | \(0.789132\pi\) | |||||||
\(140\) | 51.1768 | − | 29.7490i | 0.365548 | − | 0.212493i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −149.155 | − | 86.1145i | −1.05038 | − | 0.606440i | ||||
\(143\) | −84.6891 | −0.592232 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.669364 | + | 226.434i | 0.00461630 | + | 1.56161i | ||||
\(146\) | −128.740 | − | 74.3281i | −0.881782 | − | 0.509097i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −83.8642 | + | 48.4190i | −0.566650 | + | 0.327155i | ||||
\(149\) | 6.49058 | − | 3.74734i | 0.0435609 | − | 0.0251499i | −0.478061 | − | 0.878326i | \(-0.658660\pi\) |
0.521622 | + | 0.853177i | \(0.325327\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −108.617 | + | 188.129i | −0.719315 | + | 1.24589i | 0.241957 | + | 0.970287i | \(0.422211\pi\) |
−0.961272 | + | 0.275603i | \(0.911123\pi\) | |||||||
\(152\) | 83.0443 | 0.546344 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 31.8932 | 0.207099 | ||||||||
\(155\) | 108.878 | − | 189.877i | 0.702441 | − | 1.22501i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 153.578 | − | 88.6685i | 0.978206 | − | 0.564767i | 0.0764777 | − | 0.997071i | \(-0.475633\pi\) |
0.901728 | + | 0.432304i | \(0.142299\pi\) | |||||||
\(158\) | −66.6169 | − | 115.384i | −0.421626 | − | 0.730277i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 14.0697 | − | 24.5366i | 0.0879354 | − | 0.153354i | ||||
\(161\) | − | 95.5537i | − | 0.593501i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 42.6651i | 0.261749i | 0.991399 | + | 0.130875i | \(0.0417785\pi\) | ||||
−0.991399 | + | 0.130875i | \(0.958221\pi\) | |||||||
\(164\) | 4.71304 | + | 2.72108i | 0.0287381 | + | 0.0165919i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 66.9224 | + | 115.913i | 0.403147 | + | 0.698271i | ||||
\(167\) | −36.9936 | − | 64.0748i | −0.221519 | − | 0.383681i | 0.733751 | − | 0.679419i | \(-0.237768\pi\) |
−0.955269 | + | 0.295737i | \(0.904435\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 162.576 | − | 281.590i | 0.961987 | − | 1.66621i | ||||
\(170\) | −8.51430 | + | 0.0251693i | −0.0500841 | + | 0.000148054i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | − | 39.9712i | − | 0.232391i | ||||||
\(173\) | −76.8727 | + | 133.147i | −0.444351 | + | 0.769638i | −0.998007 | − | 0.0631075i | \(-0.979899\pi\) |
0.553656 | + | 0.832745i | \(0.313232\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −127.722 | + | 74.7503i | −0.729837 | + | 0.427145i | ||||
\(176\) | 13.1974 | − | 7.61952i | 0.0749852 | − | 0.0432927i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −162.481 | − | 93.8084i | −0.912814 | − | 0.527014i | ||||
\(179\) | − | 292.469i | − | 1.63390i | −0.576706 | − | 0.816951i | \(-0.695662\pi\) | ||
0.576706 | − | 0.816951i | \(-0.304338\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 45.0019 | 0.248629 | 0.124315 | − | 0.992243i | \(-0.460327\pi\) | ||||
0.124315 | + | 0.992243i | \(0.460327\pi\) | |||||||
\(182\) | −93.0467 | + | 161.162i | −0.511246 | + | 0.885504i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −22.8284 | − | 39.5400i | −0.124068 | − | 0.214891i | ||||
\(185\) | 209.302 | − | 121.667i | 1.13136 | − | 0.657658i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.97277 | − | 2.29368i | −0.0212448 | − | 0.0122657i | ||||
\(188\) | 48.5970 | 0.258495 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −207.610 | + | 0.613719i | −1.09268 | + | 0.00323010i | ||||
\(191\) | −163.433 | − | 94.3578i | −0.855668 | − | 0.494020i | 0.00689152 | − | 0.999976i | \(-0.497806\pi\) |
−0.862559 | + | 0.505956i | \(0.831140\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −78.7052 | + | 45.4405i | −0.407799 | + | 0.235443i | −0.689844 | − | 0.723958i | \(-0.742321\pi\) |
0.282045 | + | 0.959401i | \(0.408987\pi\) | |||||||
\(194\) | −145.755 | + | 84.1518i | −0.751316 | + | 0.433772i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.9594 | + | 24.1783i | −0.0712212 | + | 0.123359i | ||||
\(197\) | 321.126 | 1.63008 | 0.815040 | − | 0.579405i | \(-0.196715\pi\) | ||||
0.815040 | + | 0.579405i | \(0.196715\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −22.7423 | −0.114283 | −0.0571414 | − | 0.998366i | \(-0.518199\pi\) | ||||
−0.0571414 | + | 0.998366i | \(0.518199\pi\) | |||||||
\(200\) | −34.9927 | + | 61.4452i | −0.174963 | + | 0.307226i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −29.1495 | + | 16.8295i | −0.144304 | + | 0.0833142i | ||||
\(203\) | 134.038 | + | 232.161i | 0.660287 | + | 1.14365i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.8027 | − | 6.76783i | −0.0575740 | − | 0.0330138i | ||||
\(206\) | 5.83879i | 0.0283437i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 88.9181i | 0.427491i | ||||||||
\(209\) | −96.8708 | − | 55.9284i | −0.463497 | − | 0.267600i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 39.9608 | + | 69.2142i | 0.189388 | + | 0.328029i | 0.945046 | − | 0.326937i | \(-0.106016\pi\) |
−0.755659 | + | 0.654966i | \(0.772683\pi\) | |||||||
\(212\) | −10.8425 | − | 18.7798i | −0.0511440 | − | 0.0885840i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 82.7369 | − | 143.305i | 0.386621 | − | 0.669647i | ||||
\(215\) | 0.295398 | + | 99.9276i | 0.00137394 | + | 0.464779i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 259.131i | − | 1.19415i | ||||||
\(218\) | 59.6383 | − | 103.297i | 0.273570 | − | 0.473838i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −32.9370 | + | 19.1462i | −0.149714 | + | 0.0870284i | ||||
\(221\) | 23.1807 | − | 13.3834i | 0.104890 | − | 0.0605583i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −56.8626 | − | 32.8297i | −0.254989 | − | 0.147218i | 0.367057 | − | 0.930198i | \(-0.380365\pi\) |
−0.622047 | + | 0.782980i | \(0.713699\pi\) | |||||||
\(224\) | − | 33.4858i | − | 0.149490i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −113.343 | −0.501516 | ||||||||
\(227\) | −183.852 | + | 318.441i | −0.809921 | + | 1.40282i | 0.102997 | + | 0.994682i | \(0.467157\pi\) |
−0.912918 | + | 0.408143i | \(0.866176\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 149.821 | + | 259.497i | 0.654238 | + | 1.13317i | 0.982084 | + | 0.188443i | \(0.0603440\pi\) |
−0.327846 | + | 0.944731i | \(0.606323\pi\) | |||||||
\(230\) | 57.3631 | + | 98.6809i | 0.249405 | + | 0.429047i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 110.930 | + | 64.0454i | 0.478146 | + | 0.276058i | ||||
\(233\) | −227.228 | −0.975229 | −0.487614 | − | 0.873059i | \(-0.662133\pi\) | ||||
−0.487614 | + | 0.873059i | \(0.662133\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −121.492 | + | 0.359144i | −0.516987 | + | 0.00152827i | ||||
\(236\) | −33.5827 | − | 19.3890i | −0.142299 | − | 0.0821566i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.72966 | + | 5.04007i | −0.0366793 | + | 0.0211768i | ||||
\(239\) | 164.387 | − | 94.9090i | 0.687813 | − | 0.397109i | −0.114979 | − | 0.993368i | \(-0.536680\pi\) |
0.802792 | + | 0.596259i | \(0.203347\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −45.4778 | + | 78.7699i | −0.188705 | + | 0.326846i | −0.944819 | − | 0.327594i | \(-0.893762\pi\) |
0.756114 | + | 0.654440i | \(0.227096\pi\) | |||||||
\(242\) | 150.594 | 0.622287 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 36.7982 | 0.150812 | ||||||||
\(245\) | 34.7195 | − | 60.5487i | 0.141712 | − | 0.247137i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 565.230 | − | 326.336i | 2.28838 | − | 1.32120i | ||||
\(248\) | −61.9081 | − | 107.228i | −0.249629 | − | 0.432371i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 87.0272 | − | 153.871i | 0.348109 | − | 0.615484i | ||||
\(251\) | − | 386.041i | − | 1.53801i | −0.639242 | − | 0.769005i | \(-0.720752\pi\) | ||
0.639242 | − | 0.769005i | \(-0.279248\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 61.4977i | 0.243074i | ||||||||
\(254\) | 111.854 | + | 64.5790i | 0.440371 | + | 0.254248i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −173.158 | − | 299.918i | −0.673766 | − | 1.16700i | −0.976828 | − | 0.214026i | \(-0.931342\pi\) |
0.303062 | − | 0.952971i | \(-0.401991\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 143.308 | − | 248.218i | 0.553315 | − | 0.958369i | ||||
\(260\) | −0.657128 | − | 222.294i | −0.00252741 | − | 0.854978i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 322.368i | − | 1.23041i | ||||||
\(263\) | 216.736 | − | 375.397i | 0.824090 | − | 1.42737i | −0.0785228 | − | 0.996912i | \(-0.525020\pi\) |
0.902613 | − | 0.430453i | \(-0.141646\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.2450 | + | 46.8692i | 0.102811 | + | 0.176865i | ||||
\(266\) | −212.861 | + | 122.895i | −0.800230 | + | 0.462013i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −143.983 | − | 83.1289i | −0.537252 | − | 0.310182i | ||||
\(269\) | − | 456.780i | − | 1.69807i | −0.528340 | − | 0.849033i | \(-0.677185\pi\) | ||
0.528340 | − | 0.849033i | \(-0.322815\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −321.543 | −1.18651 | −0.593253 | − | 0.805016i | \(-0.702156\pi\) | ||||
−0.593253 | + | 0.805016i | \(0.702156\pi\) | |||||||
\(272\) | −2.40822 | + | 4.17116i | −0.00885374 | + | 0.0153351i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 86.7753 | + | 150.299i | 0.316698 | + | 0.548537i | ||||
\(275\) | 82.2007 | − | 48.1088i | 0.298912 | − | 0.174941i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 287.041 | + | 165.723i | 1.03625 | + | 0.598278i | 0.918768 | − | 0.394797i | \(-0.129185\pi\) |
0.117480 | + | 0.993075i | \(0.462518\pi\) | |||||||
\(278\) | −54.4193 | −0.195753 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.247469 | + | 83.7142i | 0.000883818 | + | 0.298979i | ||||
\(281\) | −409.801 | − | 236.599i | −1.45837 | − | 0.841989i | −0.459437 | − | 0.888211i | \(-0.651949\pi\) |
−0.998931 | + | 0.0462214i | \(0.985282\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 26.3212 | − | 15.1965i | 0.0930076 | − | 0.0536980i | −0.452775 | − | 0.891625i | \(-0.649566\pi\) |
0.545782 | + | 0.837927i | \(0.316233\pi\) | |||||||
\(284\) | 210.936 | − | 121.784i | 0.742734 | − | 0.428818i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 59.8842 | − | 103.723i | 0.209385 | − | 0.362666i | ||||
\(287\) | −16.1074 | −0.0561235 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −287.550 | −0.994983 | ||||||||
\(290\) | −277.797 | − | 159.293i | −0.957920 | − | 0.549286i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 182.066 | − | 105.116i | 0.623514 | − | 0.359986i | ||||
\(293\) | 12.5081 | + | 21.6647i | 0.0426898 | + | 0.0739409i | 0.886581 | − | 0.462574i | \(-0.153074\pi\) |
−0.843891 | + | 0.536515i | \(0.819741\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 84.0996 | + | 48.2240i | 0.285083 | + | 0.163471i | ||||
\(296\) | − | 136.950i | − | 0.462668i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.5991i | 0.0355674i | ||||||||
\(299\) | −310.758 | − | 179.416i | −1.03932 | − | 0.600054i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 59.1525 | + | 102.455i | 0.196520 | + | 0.340383i | ||||
\(302\) | −153.607 | − | 266.055i | −0.508632 | − | 0.880977i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −58.7212 | + | 101.708i | −0.193162 | + | 0.334566i | ||||
\(305\) | −91.9950 | + | 0.271948i | −0.301623 | + | 0.000891633i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 596.302i | − | 1.94235i | −0.238365 | − | 0.971176i | \(-0.576611\pi\) | ||
0.238365 | − | 0.971176i | \(-0.423389\pi\) | |||||||
\(308\) | −22.5519 | + | 39.0611i | −0.0732205 | + | 0.126822i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 155.562 | + | 267.611i | 0.501813 | + | 0.863262i | ||||
\(311\) | −47.0295 | + | 27.1525i | −0.151220 | + | 0.0873070i | −0.573701 | − | 0.819065i | \(-0.694493\pi\) |
0.422481 | + | 0.906372i | \(0.361159\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 139.802 | + | 80.7145i | 0.446650 | + | 0.257874i | 0.706415 | − | 0.707798i | \(-0.250311\pi\) |
−0.259764 | + | 0.965672i | \(0.583645\pi\) | |||||||
\(314\) | 250.792i | 0.798702i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 188.421 | 0.596269 | ||||||||
\(317\) | −136.292 | + | 236.064i | −0.429942 | + | 0.744682i | −0.996868 | − | 0.0790874i | \(-0.974799\pi\) |
0.566926 | + | 0.823769i | \(0.308133\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −86.2661 | − | 149.417i | −0.270427 | − | 0.468393i | ||||
\(320\) | 20.1023 | + | 34.5817i | 0.0628197 | + | 0.108068i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 117.029 | + | 67.5666i | 0.363444 | + | 0.209834i | ||||
\(323\) | 35.3533 | 0.109453 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.28562 | + | 555.728i | 0.0101096 | + | 1.70993i | ||||
\(326\) | −52.2539 | − | 30.1688i | −0.160288 | − | 0.0925423i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.66525 | + | 3.84818i | −0.0203209 | + | 0.0117323i | ||||
\(329\) | −124.565 | + | 71.9177i | −0.378617 | + | 0.218595i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 264.356 | − | 457.879i | 0.798660 | − | 1.38332i | −0.121829 | − | 0.992551i | \(-0.538876\pi\) |
0.920489 | − | 0.390769i | \(-0.127791\pi\) | |||||||
\(332\) | −189.285 | −0.570136 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 104.634 | 0.313274 | ||||||||
\(335\) | 360.571 | + | 206.757i | 1.07633 | + | 0.617186i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 337.626 | − | 194.929i | 1.00186 | − | 0.578423i | 0.0930609 | − | 0.995660i | \(-0.470335\pi\) |
0.908798 | + | 0.417237i | \(0.137002\pi\) | |||||||
\(338\) | 229.917 | + | 398.228i | 0.680228 | + | 1.17819i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.98969 | − | 10.4456i | 0.0176167 | − | 0.0307225i | ||||
\(341\) | 166.775i | 0.489075i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 372.689i | − | 1.08656i | ||||||
\(344\) | 48.9545 | + | 28.2639i | 0.142310 | + | 0.0821625i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −108.714 | − | 188.299i | −0.314203 | − | 0.544216i | ||||
\(347\) | 60.2010 | + | 104.271i | 0.173490 | + | 0.300493i | 0.939638 | − | 0.342171i | \(-0.111162\pi\) |
−0.766148 | + | 0.642664i | \(0.777829\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −274.137 | + | 474.820i | −0.785494 | + | 1.36051i | 0.143210 | + | 0.989692i | \(0.454258\pi\) |
−0.928704 | + | 0.370823i | \(0.879076\pi\) | |||||||
\(350\) | −1.23734 | − | 209.283i | −0.00353525 | − | 0.597951i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 21.5513i | 0.0612251i | ||||||||
\(353\) | −146.668 | + | 254.036i | −0.415489 | + | 0.719648i | −0.995480 | − | 0.0949749i | \(-0.969723\pi\) |
0.579991 | + | 0.814623i | \(0.303056\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −526.439 | + | 306.018i | −1.48293 | + | 0.862023i | ||||
\(356\) | 229.783 | − | 132.665i | 0.645457 | − | 0.372655i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 358.199 | + | 206.807i | 1.00056 | + | 0.577672i | ||||
\(359\) | 15.8718i | 0.0442110i | 0.999756 | + | 0.0221055i | \(0.00703698\pi\) | ||||
−0.999756 | + | 0.0221055i | \(0.992963\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 501.044 | 1.38793 | ||||||||
\(362\) | −31.8211 | + | 55.1158i | −0.0879037 | + | 0.152254i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −131.588 | − | 227.917i | −0.361505 | − | 0.626146i | ||||
\(365\) | −454.386 | + | 264.134i | −1.24489 | + | 0.723655i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −513.192 | − | 296.292i | −1.39834 | − | 0.807334i | −0.404125 | − | 0.914704i | \(-0.632424\pi\) |
−0.994219 | + | 0.107370i | \(0.965757\pi\) | |||||||
\(368\) | 64.5686 | 0.175458 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.01209 | + | 342.373i | 0.00273539 | + | 0.925331i | ||||
\(371\) | 55.5837 | + | 32.0913i | 0.149821 | + | 0.0864993i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −328.734 | + | 189.794i | −0.881323 | + | 0.508832i | −0.871094 | − | 0.491115i | \(-0.836589\pi\) |
−0.0102288 | + | 0.999948i | \(0.503256\pi\) | |||||||
\(374\) | 5.61835 | − | 3.24376i | 0.0150223 | − | 0.00867315i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −34.3633 | + | 59.5189i | −0.0913917 | + | 0.158295i | ||||
\(377\) | 1006.71 | 2.67031 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −493.432 | −1.30193 | −0.650966 | − | 0.759107i | \(-0.725636\pi\) | ||||
−0.650966 | + | 0.759107i | \(0.725636\pi\) | |||||||
\(380\) | 146.051 | − | 254.703i | 0.384344 | − | 0.670271i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 231.128 | − | 133.442i | 0.605048 | − | 0.349325i | ||||
\(383\) | −152.151 | − | 263.534i | −0.397262 | − | 0.688078i | 0.596125 | − | 0.802892i | \(-0.296706\pi\) |
−0.993387 | + | 0.114814i | \(0.963373\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 56.0909 | − | 97.8189i | 0.145691 | − | 0.254075i | ||||
\(386\) | − | 128.525i | − | 0.332967i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 238.017i | − | 0.613447i | ||||||
\(389\) | −391.427 | − | 225.990i | −1.00624 | − | 0.580952i | −0.0961507 | − | 0.995367i | \(-0.530653\pi\) |
−0.910088 | + | 0.414414i | \(0.863986\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.71845 | − | 16.8328i | −0.0248554 | − | 0.0430508i | ||||
\(392\) | −19.7415 | − | 34.1933i | −0.0503610 | − | 0.0872278i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −227.070 | + | 393.297i | −0.576320 | + | 0.998216i | ||||
\(395\) | −471.050 | + | 1.39248i | −1.19253 | + | 0.00352526i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 316.160i | 0.796373i | 0.917304 | + | 0.398187i | \(0.130360\pi\) | ||||
−0.917304 | + | 0.398187i | \(0.869640\pi\) | |||||||
\(398\) | 16.0812 | − | 27.8535i | 0.0404051 | − | 0.0699836i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −50.5111 | − | 86.3054i | −0.126278 | − | 0.215764i | ||||
\(401\) | −66.1508 | + | 38.1922i | −0.164964 | + | 0.0952423i | −0.580209 | − | 0.814467i | \(-0.697029\pi\) |
0.415245 | + | 0.909710i | \(0.363696\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −842.739 | − | 486.556i | −2.09116 | − | 1.20733i | ||||
\(404\) | − | 47.6009i | − | 0.117824i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −379.117 | −0.933787 | ||||||||
\(407\) | −92.2323 | + | 159.751i | −0.226615 | + | 0.392509i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 216.772 | + | 375.461i | 0.530006 | + | 0.917997i | 0.999387 | + | 0.0350014i | \(0.0111436\pi\) |
−0.469382 | + | 0.882995i | \(0.655523\pi\) | |||||||
\(410\) | 16.6346 | − | 9.66967i | 0.0405722 | − | 0.0235846i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.15103 | − | 4.12865i | −0.0173569 | − | 0.0100210i | ||||
\(413\) | 114.773 | 0.277901 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 473.211 | − | 1.39887i | 1.14027 | − | 0.00337076i | ||||
\(416\) | −108.902 | − | 62.8746i | −0.261784 | − | 0.151141i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 136.996 | − | 79.0947i | 0.327742 | − | 0.189222i | ||||
\(419\) | 137.665 | − | 79.4807i | 0.328555 | − | 0.189691i | −0.326644 | − | 0.945147i | \(-0.605918\pi\) |
0.655200 | + | 0.755456i | \(0.272585\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.0331 | − | 27.7702i | 0.0380834 | − | 0.0659625i | −0.846355 | − | 0.532619i | \(-0.821208\pi\) |
0.884439 | + | 0.466656i | \(0.154541\pi\) | |||||||
\(422\) | −113.026 | −0.267835 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 30.6673 | 0.0723285 | ||||||||
\(425\) | −14.8970 | + | 26.1583i | −0.0350517 | + | 0.0615488i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −94.3220 | + | 54.4568i | −0.220895 | + | 0.127534i | ||||
\(428\) | 117.008 | + | 202.663i | 0.273382 | + | 0.473512i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −122.595 | − | 70.2977i | −0.285104 | − | 0.163483i | ||||
\(431\) | 636.866i | 1.47765i | 0.673898 | + | 0.738824i | \(0.264619\pi\) | ||||
−0.673898 | + | 0.738824i | \(0.735381\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 594.793i | 1.37366i | 0.726820 | + | 0.686828i | \(0.240997\pi\) | ||||
−0.726820 | + | 0.686828i | \(0.759003\pi\) | |||||||
\(434\) | 317.369 | + | 183.233i | 0.731265 | + | 0.422196i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 84.3413 | + | 146.083i | 0.193443 | + | 0.335054i | ||||
\(437\) | −236.971 | − | 410.447i | −0.542269 | − | 0.939237i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 253.860 | − | 439.699i | 0.578269 | − | 1.00159i | −0.417409 | − | 0.908719i | \(-0.637062\pi\) |
0.995678 | − | 0.0928725i | \(-0.0296049\pi\) | |||||||
\(440\) | −0.159269 | − | 53.8779i | −0.000361976 | − | 0.122450i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 37.8539i | 0.0856423i | ||||||||
\(443\) | 340.505 | − | 589.771i | 0.768633 | − | 1.33131i | −0.169671 | − | 0.985501i | \(-0.554270\pi\) |
0.938304 | − | 0.345811i | \(-0.112396\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −573.474 | + | 333.360i | −1.28871 | + | 0.749123i | ||||
\(446\) | 80.4159 | − | 46.4281i | 0.180305 | − | 0.104099i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 41.0116 | + | 23.6781i | 0.0915437 | + | 0.0528528i | ||||
\(449\) | − | 273.889i | − | 0.609998i | −0.952353 | − | 0.304999i | \(-0.901344\pi\) | ||
0.952353 | − | 0.304999i | \(-0.0986561\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.3666 | 0.0229859 | ||||||||
\(452\) | 80.1454 | − | 138.816i | 0.177313 | − | 0.307115i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −260.006 | − | 450.344i | −0.572701 | − | 0.991947i | ||||
\(455\) | 330.653 | + | 568.818i | 0.726710 | + | 1.25015i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 176.210 | + | 101.735i | 0.385580 | + | 0.222615i | 0.680243 | − | 0.732987i | \(-0.261874\pi\) |
−0.294663 | + | 0.955601i | \(0.595208\pi\) | |||||||
\(458\) | −423.757 | −0.925233 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −161.421 | + | 0.477178i | −0.350915 | + | 0.00103734i | ||||
\(461\) | 732.738 | + | 423.046i | 1.58945 | + | 0.917671i | 0.993397 | + | 0.114728i | \(0.0365995\pi\) |
0.596056 | + | 0.802943i | \(0.296734\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −380.771 | + | 219.838i | −0.822400 | + | 0.474813i | −0.851244 | − | 0.524771i | \(-0.824151\pi\) |
0.0288431 | + | 0.999584i | \(0.490818\pi\) | |||||||
\(464\) | −156.878 | + | 90.5738i | −0.338100 | + | 0.195202i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 160.675 | − | 278.297i | 0.344795 | − | 0.597203i | ||||
\(467\) | −14.0853 | −0.0301612 | −0.0150806 | − | 0.999886i | \(-0.504800\pi\) | ||||
−0.0150806 | + | 0.999886i | \(0.504800\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 492.083 | 1.04922 | ||||||||
\(470\) | 85.4679 | − | 149.051i | 0.181847 | − | 0.317129i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 47.4931 | − | 27.4201i | 0.100621 | − | 0.0580935i | ||||
\(473\) | −38.0702 | − | 65.9395i | −0.0804866 | − | 0.139407i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −363.243 | + | 637.834i | −0.764721 | + | 1.34281i | ||||
\(476\) | − | 14.2555i | − | 0.0299485i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 268.443i | 0.561597i | ||||||||
\(479\) | 339.132 | + | 195.798i | 0.708001 | + | 0.408765i | 0.810320 | − | 0.585987i | \(-0.199293\pi\) |
−0.102319 | + | 0.994752i | \(0.532626\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −538.166 | − | 932.130i | −1.11885 | − | 1.93790i | ||||
\(482\) | −64.3154 | − | 111.397i | −0.133434 | − | 0.231115i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −106.486 | + | 184.439i | −0.220012 | + | 0.381072i | ||||
\(485\) | 1.75901 | + | 595.041i | 0.00362682 | + | 1.22689i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 881.169i | − | 1.80938i | −0.426069 | − | 0.904691i | \(-0.640102\pi\) | ||
0.426069 | − | 0.904691i | \(-0.359898\pi\) | |||||||
\(488\) | −26.0202 | + | 45.0684i | −0.0533202 | + | 0.0923532i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 49.6062 | + | 85.3369i | 0.101237 | + | 0.174157i | ||||
\(491\) | 304.525 | − | 175.818i | 0.620214 | − | 0.358081i | −0.156738 | − | 0.987640i | \(-0.550098\pi\) |
0.776952 | + | 0.629560i | \(0.216765\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 47.2247 | + | 27.2652i | 0.0957904 | + | 0.0553046i | ||||
\(494\) | 923.017i | 1.86846i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 175.103 | 0.353029 | ||||||||
\(497\) | −360.452 | + | 624.321i | −0.725255 | + | 1.25618i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 240.926 | + | 417.296i | 0.482817 | + | 0.836264i | 0.999805 | − | 0.0197284i | \(-0.00628015\pi\) |
−0.516988 | + | 0.855993i | \(0.672947\pi\) | |||||||
\(500\) | 126.915 | + | 215.389i | 0.253830 | + | 0.430779i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 472.801 | + | 272.972i | 0.941835 | + | 0.543769i | ||||
\(503\) | −670.477 | −1.33296 | −0.666478 | − | 0.745525i | \(-0.732199\pi\) | ||||
−0.666478 | + | 0.745525i | \(0.732199\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.351783 | + | 119.002i | 0.000696600 | + | 0.235647i | ||||
\(506\) | −75.3190 | − | 43.4854i | −0.148852 | − | 0.0859396i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −158.186 | + | 91.3285i | −0.311389 | + | 0.179781i | ||||
\(509\) | 9.57115 | − | 5.52591i | 0.0188038 | − | 0.0108564i | −0.490569 | − | 0.871403i | \(-0.663211\pi\) |
0.509372 | + | 0.860546i | \(0.329878\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −311.117 | + | 538.871i | −0.608840 | + | 1.05454i | ||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 489.765 | 0.952849 | ||||||||
\(515\) | 17.9080 | + | 10.2687i | 0.0347728 | + | 0.0199393i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 80.1692 | − | 46.2857i | 0.155066 | − | 0.0895275i | ||||
\(518\) | 202.669 | + | 351.033i | 0.391252 | + | 0.677669i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 272.718 | + | 156.381i | 0.524458 | + | 0.300733i | ||||
\(521\) | 534.980i | 1.02683i | 0.858140 | + | 0.513416i | \(0.171620\pi\) | ||||
−0.858140 | + | 0.513416i | \(0.828380\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 615.393i | 1.17666i | 0.808621 | + | 0.588330i | \(0.200214\pi\) | ||||
−0.808621 | + | 0.588330i | \(0.799786\pi\) | |||||||
\(524\) | 394.819 | + | 227.949i | 0.753472 | + | 0.435017i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 306.511 | + | 530.892i | 0.582720 | + | 1.00930i | ||||
\(527\) | −26.3553 | − | 45.6488i | −0.0500101 | − | 0.0866200i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 134.216 | − | 232.468i | 0.253716 | − | 0.439448i | ||||
\(530\) | −76.6679 | + | 0.226639i | −0.144656 | + | 0.000427621i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 347.601i | − | 0.653385i | ||||||
\(533\) | −30.2441 | + | 52.3843i | −0.0567432 | + | 0.0982820i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −294.016 | − | 505.791i | −0.549562 | − | 0.945404i | ||||
\(536\) | 203.623 | − | 117.562i | 0.379894 | − | 0.219332i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 559.439 | + | 322.992i | 1.03985 | + | 0.600357i | ||||
\(539\) | 53.1818i | 0.0986675i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −479.872 | −0.887010 | −0.443505 | − | 0.896272i | \(-0.646265\pi\) | ||||
−0.443505 | + | 0.896272i | \(0.646265\pi\) | |||||||
\(542\) | 227.365 | − | 393.808i | 0.419493 | − | 0.726583i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.40573 | − | 5.89890i | −0.00626054 | − | 0.0108436i | ||||
\(545\) | −211.932 | − | 364.584i | −0.388866 | − | 0.668961i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −307.990 | − | 177.818i | −0.563053 | − | 0.325079i | 0.191317 | − | 0.981528i | \(-0.438724\pi\) |
−0.754370 | + | 0.656449i | \(0.772058\pi\) | |||||||
\(548\) | −245.438 | −0.447879 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.796343 | + | 134.693i | 0.00144790 | + | 0.244896i | ||||
\(551\) | 1151.51 | + | 664.825i | 2.08986 | + | 1.20658i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −482.965 | + | 278.840i | −0.873355 | + | 0.504232i | ||||
\(554\) | −405.937 | + | 234.368i | −0.732738 | + | 0.423047i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 38.4803 | − | 66.6498i | 0.0692091 | − | 0.119874i | ||||
\(557\) | −267.691 | −0.480595 | −0.240297 | − | 0.970699i | \(-0.577245\pi\) | ||||
−0.240297 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 444.270 | 0.794759 | ||||||||
\(560\) | −102.704 | − | 58.8918i | −0.183399 | − | 0.105164i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 579.547 | − | 334.601i | 1.03122 | − | 0.595376i | ||||
\(563\) | 120.511 | + | 208.731i | 0.214052 | + | 0.370749i | 0.952979 | − | 0.303037i | \(-0.0980005\pi\) |
−0.738927 | + | 0.673785i | \(0.764667\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −199.337 | + | 347.631i | −0.352808 | + | 0.615275i | ||||
\(566\) | 42.9823i | 0.0759404i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 344.458i | 0.606440i | ||||||||
\(569\) | 48.7478 | + | 28.1445i | 0.0856727 | + | 0.0494632i | 0.542224 | − | 0.840234i | \(-0.317582\pi\) |
−0.456552 | + | 0.889697i | \(0.650916\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 191.424 | + | 331.556i | 0.335243 | + | 0.580658i | 0.983531 | − | 0.180737i | \(-0.0578482\pi\) |
−0.648288 | + | 0.761395i | \(0.724515\pi\) | |||||||
\(572\) | 84.6891 | + | 146.686i | 0.148058 | + | 0.256444i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.3897 | − | 19.7275i | 0.0198427 | − | 0.0343685i | ||||
\(575\) | 403.547 | − | 2.38588i | 0.701820 | − | 0.00414936i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 114.953i | 0.199225i | 0.995026 | + | 0.0996126i | \(0.0317603\pi\) | ||||
−0.995026 | + | 0.0996126i | \(0.968240\pi\) | |||||||
\(578\) | 203.329 | − | 352.176i | 0.351780 | − | 0.609300i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 391.525 | − | 227.593i | 0.675043 | − | 0.392402i | ||||
\(581\) | 485.181 | − | 280.119i | 0.835079 | − | 0.482133i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −35.7733 | − | 20.6537i | −0.0613607 | − | 0.0354266i | ||||
\(584\) | 297.313i | 0.509097i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −35.3783 | −0.0603725 | ||||||||
\(587\) | 243.848 | − | 422.357i | 0.415414 | − | 0.719518i | −0.580058 | − | 0.814575i | \(-0.696970\pi\) |
0.995472 | + | 0.0950571i | \(0.0303034\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −642.639 | − | 1113.08i | −1.09107 | − | 1.88979i | ||||
\(590\) | −118.529 | + | 68.9010i | −0.200897 | + | 0.116781i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 167.728 | + | 96.8380i | 0.283325 | + | 0.163578i | ||||
\(593\) | 631.323 | 1.06463 | 0.532313 | − | 0.846548i | \(-0.321323\pi\) | ||||
0.532313 | + | 0.846548i | \(0.321323\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.105352 | + | 35.6385i | 0.000177062 | + | 0.0598967i | ||||
\(596\) | −12.9812 | − | 7.49468i | −0.0217805 | − | 0.0125750i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 439.478 | − | 253.733i | 0.734913 | − | 0.424302i | ||||
\(599\) | −607.509 | + | 350.745i | −1.01421 | + | 0.585552i | −0.912420 | − | 0.409255i | \(-0.865789\pi\) |
−0.101785 | + | 0.994806i | \(0.532455\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −200.165 | + | 346.696i | −0.333053 | + | 0.576865i | −0.983109 | − | 0.183022i | \(-0.941412\pi\) |
0.650056 | + | 0.759886i | \(0.274745\pi\) | |||||||
\(602\) | −167.309 | −0.277921 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 434.466 | 0.719315 | ||||||||
\(605\) | 264.850 | − | 461.882i | 0.437769 | − | 0.763441i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 251.522 | − | 145.216i | 0.414368 | − | 0.239236i | −0.278297 | − | 0.960495i | \(-0.589770\pi\) |
0.692665 | + | 0.721259i | \(0.256436\pi\) | |||||||
\(608\) | −83.0443 | − | 143.837i | −0.136586 | − | 0.236574i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 64.7172 | − | 112.863i | 0.106094 | − | 0.185021i | ||||
\(611\) | 540.144i | 0.884033i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 177.921i | 0.290247i | 0.989414 | + | 0.145123i | \(0.0463579\pi\) | ||||
−0.989414 | + | 0.145123i | \(0.953642\pi\) | |||||||
\(614\) | 730.318 | + | 421.649i | 1.18944 | + | 0.686725i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −31.8932 | − | 55.2407i | −0.0517747 | − | 0.0896765i | ||||
\(617\) | −232.716 | − | 403.076i | −0.377173 | − | 0.653284i | 0.613476 | − | 0.789713i | \(-0.289771\pi\) |
−0.990650 | + | 0.136429i | \(0.956437\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −282.251 | + | 488.872i | −0.455978 | + | 0.789778i | −0.998744 | − | 0.0501067i | \(-0.984044\pi\) |
0.542766 | + | 0.839884i | \(0.317377\pi\) | |||||||
\(620\) | −437.755 | + | 1.29405i | −0.706056 | + | 0.00208718i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 76.7988i | − | 0.123471i | ||||||
\(623\) | −392.657 | + | 680.101i | −0.630267 | + | 1.09166i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −318.878 | − | 537.533i | −0.510205 | − | 0.860053i | ||||
\(626\) | −197.709 | + | 114.148i | −0.315830 | + | 0.182344i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −307.157 | − | 177.337i | −0.489103 | − | 0.282384i | ||||
\(629\) | − | 58.3017i | − | 0.0926896i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 696.074 | 1.10313 | 0.551564 | − | 0.834133i | \(-0.314031\pi\) | ||||
0.551564 | + | 0.834133i | \(0.314031\pi\) | |||||||
\(632\) | −133.234 | + | 230.768i | −0.210813 | + | 0.365139i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −192.745 | − | 333.845i | −0.304015 | − | 0.526569i | ||||
\(635\) | 394.787 | − | 229.489i | 0.621712 | − | 0.361400i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −268.736 | − | 155.155i | −0.421878 | − | 0.243571i | ||||
\(638\) | 243.997 | 0.382441 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −56.5683 | + | 0.167222i | −0.0883880 | + | 0.000261285i | ||||
\(641\) | 282.197 | + | 162.927i | 0.440245 | + | 0.254176i | 0.703702 | − | 0.710495i | \(-0.251529\pi\) |
−0.263456 | + | 0.964671i | \(0.584862\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 93.9907 | − | 54.2656i | 0.146175 | − | 0.0843944i | −0.425129 | − | 0.905133i | \(-0.639771\pi\) |
0.571304 | + | 0.820739i | \(0.306438\pi\) | |||||||
\(644\) | −165.504 | + | 95.5537i | −0.256993 | + | 0.148375i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −24.9986 | + | 43.2988i | −0.0386975 | + | 0.0670260i | ||||
\(647\) | 895.382 | 1.38390 | 0.691949 | − | 0.721946i | \(-0.256752\pi\) | ||||
0.691949 | + | 0.721946i | \(0.256752\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −73.8673 | −0.113817 | ||||||||
\(650\) | −682.949 | − | 388.935i | −1.05069 | − | 0.598362i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 73.8981 | − | 42.6651i | 0.113341 | − | 0.0654373i | ||||
\(653\) | 46.6767 | + | 80.8464i | 0.0714804 | + | 0.123808i | 0.899550 | − | 0.436817i | \(-0.143894\pi\) |
−0.828070 | + | 0.560625i | \(0.810561\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −988.728 | − | 566.952i | −1.50951 | − | 0.865575i | ||||
\(656\) | − | 10.8843i | − | 0.0165919i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 203.414i | − | 0.309140i | ||||||
\(659\) | −893.384 | − | 515.795i | −1.35567 | − | 0.782694i | −0.366630 | − | 0.930367i | \(-0.619488\pi\) |
−0.989036 | + | 0.147673i | \(0.952822\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 432.759 | + | 749.561i | 0.654704 | + | 1.13398i | 0.981968 | + | 0.189048i | \(0.0605401\pi\) |
−0.327264 | + | 0.944933i | \(0.606127\pi\) | |||||||
\(662\) | 373.856 | + | 647.538i | 0.564738 | + | 0.978155i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 133.845 | − | 231.826i | 0.201574 | − | 0.349136i | ||||
\(665\) | 2.56886 | + | 868.998i | 0.00386295 | + | 1.30676i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 731.028i | − | 1.09599i | ||||||
\(668\) | −73.9872 | + | 128.150i | −0.110759 | + | 0.191841i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −508.187 | + | 295.409i | −0.758489 | + | 0.440908i | ||||
\(671\) | 60.7050 | − | 35.0480i | 0.0904694 | − | 0.0522326i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 594.810 | + | 343.414i | 0.883819 | + | 0.510273i | 0.871916 | − | 0.489656i | \(-0.162878\pi\) |
0.0119032 | + | 0.999929i | \(0.496211\pi\) | |||||||
\(674\) | 551.342i | 0.818014i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −650.303 | −0.961987 | ||||||||
\(677\) | −390.040 | + | 675.569i | −0.576130 | + | 0.997887i | 0.419788 | + | 0.907622i | \(0.362105\pi\) |
−0.995918 | + | 0.0902643i | \(0.971229\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 352.237 | + | 610.092i | 0.518758 | + | 0.898515i | ||||
\(680\) | 8.55789 | + | 14.7220i | 0.0125851 | + | 0.0216500i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −204.256 | − | 117.927i | −0.299496 | − | 0.172914i | ||||
\(683\) | 285.666 | 0.418252 | 0.209126 | − | 0.977889i | \(-0.432938\pi\) | ||||
0.209126 | + | 0.977889i | \(0.432938\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 613.591 | − | 1.81385i | 0.895754 | − | 0.00264795i | ||||
\(686\) | 456.449 | + | 263.531i | 0.665377 | + | 0.384156i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −69.2322 | + | 39.9712i | −0.100628 | + | 0.0580977i | ||||
\(689\) | 208.733 | − | 120.512i | 0.302951 | − | 0.174909i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.8975 | + | 56.9801i | −0.0476085 | + | 0.0824603i | −0.888848 | − | 0.458203i | \(-0.848493\pi\) |
0.841239 | + | 0.540663i | \(0.181827\pi\) | |||||||
\(692\) | 307.491 | 0.444351 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −170.274 | −0.245352 | ||||||||
\(695\) | −95.7077 | + | 166.908i | −0.137709 | + | 0.240156i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.83751 | + | 1.63824i | −0.00407103 | + | 0.00235041i | ||||
\(698\) | −387.689 | − | 671.496i | −0.555428 | − | 0.962029i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 257.193 | + | 146.470i | 0.367418 | + | 0.209243i | ||||
\(701\) | − | 736.516i | − | 1.05067i | −0.850897 | − | 0.525333i | \(-0.823941\pi\) | ||
0.850897 | − | 0.525333i | \(-0.176059\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1421.61i | − | 2.02221i | ||||||
\(704\) | −26.3948 | − | 15.2390i | −0.0374926 | − | 0.0216464i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −207.419 | − | 359.261i | −0.293795 | − | 0.508868i | ||||
\(707\) | 70.4436 | + | 122.012i | 0.0996373 | + | 0.172577i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 291.126 | − | 504.245i | 0.410615 | − | 0.711207i | −0.584342 | − | 0.811508i | \(-0.698647\pi\) |
0.994957 | + | 0.100301i | \(0.0319806\pi\) | |||||||
\(710\) | −2.54563 | − | 861.141i | −0.00358540 | − | 1.21287i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 375.234i | 0.527014i | ||||||||
\(713\) | −353.316 | + | 611.962i | −0.495535 | + | 0.858292i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −212.806 | − | 366.087i | −0.297631 | − | 0.512010i | ||||
\(716\) | −506.571 | + | 292.469i | −0.707501 | + | 0.408476i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −19.4389 | − | 11.2230i | −0.0270736 | − | 0.0156310i | ||||
\(719\) | − | 256.052i | − | 0.356123i | −0.984019 | − | 0.178061i | \(-0.943017\pi\) | ||
0.984019 | − | 0.178061i | \(-0.0569826\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.4396 | 0.0338968 | ||||||||
\(722\) | −354.292 | + | 613.651i | −0.490709 | + | 0.849932i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −45.0019 | − | 77.9455i | −0.0621573 | − | 0.107660i | ||||
\(725\) | −977.127 | + | 571.873i | −1.34776 | + | 0.788791i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −64.1741 | − | 37.0509i | −0.0882724 | − | 0.0509641i | 0.455214 | − | 0.890382i | \(-0.349563\pi\) |
−0.543486 | + | 0.839418i | \(0.682896\pi\) | |||||||
\(728\) | 372.187 | 0.511246 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.19722 | − | 743.278i | −0.00300989 | − | 1.01819i | ||||
\(731\) | 20.8408 | + | 12.0324i | 0.0285099 | + | 0.0164602i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 202.116 | − | 116.692i | 0.275738 | − | 0.159197i | −0.355754 | − | 0.934579i | \(-0.615776\pi\) |
0.631492 | + | 0.775382i | \(0.282443\pi\) | |||||||
\(734\) | 725.763 | − | 419.020i | 0.988779 | − | 0.570872i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −45.6569 | + | 79.0800i | −0.0620338 | + | 0.107446i | ||||
\(737\) | −316.701 | −0.429717 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −541.648 | −0.732948 | −0.366474 | − | 0.930428i | \(-0.619435\pi\) | ||||
−0.366474 | + | 0.930428i | \(0.619435\pi\) | |||||||
\(740\) | −420.035 | − | 240.854i | −0.567614 | − | 0.325479i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −78.6072 | + | 45.3839i | −0.105940 | + | 0.0611643i | ||||
\(743\) | −421.965 | − | 730.864i | −0.567920 | − | 0.983667i | −0.996771 | − | 0.0802915i | \(-0.974415\pi\) |
0.428851 | − | 0.903375i | \(-0.358918\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 32.5081 | + | 18.6407i | 0.0436351 | + | 0.0250210i | ||||
\(746\) | − | 536.820i | − | 0.719597i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.17473i | 0.0122657i | ||||||||
\(749\) | −599.834 | − | 346.314i | −0.800846 | − | 0.462369i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −50.8153 | − | 88.0147i | −0.0676635 | − | 0.117197i | 0.830209 | − | 0.557452i | \(-0.188221\pi\) |
−0.897872 | + | 0.440256i | \(0.854888\pi\) | |||||||
\(752\) | −48.5970 | − | 84.1725i | −0.0646237 | − | 0.111931i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −711.849 | + | 1232.96i | −0.944097 | + | 1.63522i | ||||
\(755\) | −1086.16 | + | 3.21082i | −1.43862 | + | 0.00425274i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 456.777i | 0.603404i | 0.953402 | + | 0.301702i | \(0.0975547\pi\) | ||||
−0.953402 | + | 0.301702i | \(0.902445\pi\) | |||||||
\(758\) | 348.909 | − | 604.329i | 0.460302 | − | 0.797267i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 208.673 | + | 358.977i | 0.274569 | + | 0.472338i | ||||
\(761\) | 38.5440 | − | 22.2534i | 0.0506492 | − | 0.0292423i | −0.474462 | − | 0.880276i | \(-0.657357\pi\) |
0.525111 | + | 0.851034i | \(0.324024\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −432.372 | − | 249.630i | −0.566673 | − | 0.327169i | ||||
\(764\) | 377.431i | 0.494020i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 430.349 | 0.561813 | ||||||||
\(767\) | 215.504 | − | 373.263i | 0.280970 | − | 0.486653i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 125.075 | + | 216.637i | 0.162647 | + | 0.281712i | 0.935817 | − | 0.352486i | \(-0.114664\pi\) |
−0.773171 | + | 0.634198i | \(0.781330\pi\) | |||||||
\(770\) | 80.1410 | + | 137.865i | 0.104079 | + | 0.179046i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 157.410 | + | 90.8810i | 0.203900 | + | 0.117721i | ||||
\(773\) | 1059.49 | 1.37063 | 0.685313 | − | 0.728249i | \(-0.259666\pi\) | ||||
0.685313 | + | 0.728249i | \(0.259666\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1094.37 | − | 6.47024i | 1.41209 | − | 0.00834869i | ||||
\(776\) | 291.511 | + | 168.304i | 0.375658 | + | 0.216886i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 553.561 | − | 319.599i | 0.711518 | − | 0.410795i | ||||
\(779\) | −69.1888 | + | 39.9462i | −0.0888175 | + | 0.0512788i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 231.984 | − | 401.809i | 0.297035 | − | 0.514480i | ||||
\(782\) | 27.4879 | 0.0351508 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 55.8374 | 0.0712212 | ||||||||
\(785\) | 769.199 | + | 441.070i | 0.979871 | + | 0.561873i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −707.755 | + | 408.623i | −0.899308 | + | 0.519216i | −0.876976 | − | 0.480535i | \(-0.840443\pi\) |
−0.0223324 | + | 0.999751i | \(0.507109\pi\) | |||||||
\(788\) | −321.126 | − | 556.206i | −0.407520 | − | 0.705845i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 331.377 | − | 577.901i | 0.419465 | − | 0.731520i | ||||
\(791\) | 474.422i | 0.599775i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 409.003i | 0.515767i | ||||||||
\(794\) | −387.216 | − | 223.559i | −0.487677 | − | 0.281561i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 22.7423 | + | 39.3908i | 0.0285707 | + | 0.0494859i | ||||
\(797\) | −532.481 | − | 922.285i | −0.668107 | − | 1.15720i | −0.978433 | − | 0.206565i | \(-0.933771\pi\) |
0.310326 | − | 0.950630i | \(-0.399562\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.6290 | + | 25.3382i | −0.0183092 | + | 0.0317124i | ||||
\(800\) | 141.419 | − | 0.836109i | 0.176774 | − | 0.00104514i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 108.024i | − | 0.134693i | ||||||
\(803\) | 200.233 | − | 346.814i | 0.249356 | − | 0.431898i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 413.051 | − | 240.106i | 0.513107 | − | 0.298269i | ||||
\(806\) | 1191.81 | − | 688.094i | 1.47868 | − | 0.853714i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 58.2990 | + | 33.6589i | 0.0721522 | + | 0.0416571i | ||||
\(809\) | − | 417.926i | − | 0.516595i | −0.966065 | − | 0.258298i | \(-0.916838\pi\) | ||
0.966065 | − | 0.258298i | \(-0.0831615\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −993.633 | −1.22519 | −0.612597 | − | 0.790395i | \(-0.709875\pi\) | ||||
−0.612597 | + | 0.790395i | \(0.709875\pi\) | |||||||
\(812\) | 268.077 | − | 464.322i | 0.330144 | − | 0.571825i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −130.436 | − | 225.922i | −0.160241 | − | 0.277546i | ||||
\(815\) | −184.429 | + | 107.208i | −0.226294 | + | 0.131544i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 508.174 | + | 293.394i | 0.622000 | + | 0.359112i | ||||
\(818\) | −613.125 | −0.749541 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.0804378 | + | 27.2106i | 9.80949e−5 | + | 0.0331837i | ||||
\(821\) | 581.144 | + | 335.524i | 0.707849 | + | 0.408677i | 0.810264 | − | 0.586065i | \(-0.199324\pi\) |
−0.102415 | + | 0.994742i | \(0.532657\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 595.952 | − | 344.073i | 0.724122 | − | 0.418072i | −0.0921460 | − | 0.995746i | \(-0.529373\pi\) |
0.816268 | + | 0.577674i | \(0.196039\pi\) | |||||||
\(824\) | 10.1131 | − | 5.83879i | 0.0122732 | − | 0.00708591i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −81.1569 | + | 140.568i | −0.0982529 | + | 0.170179i | ||||
\(827\) | −904.043 | −1.09316 | −0.546580 | − | 0.837407i | \(-0.684070\pi\) | ||||
−0.546580 | + | 0.837407i | \(0.684070\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1539.16 | −1.85664 | −0.928321 | − | 0.371779i | \(-0.878748\pi\) | ||||
−0.928321 | + | 0.371779i | \(0.878748\pi\) | |||||||
\(830\) | −332.897 | + | 580.552i | −0.401081 | + | 0.699460i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 154.011 | − | 88.9181i | 0.185109 | − | 0.106873i | ||||
\(833\) | −8.40429 | − | 14.5567i | −0.0100892 | − | 0.0174750i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 184.020 | − | 320.919i | 0.220383 | − | 0.384334i | ||||
\(836\) | 223.714i | 0.267600i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 224.805i | 0.268264i | ||||||||
\(839\) | −767.579 | − | 443.162i | −0.914874 | − | 0.528203i | −0.0328778 | − | 0.999459i | \(-0.510467\pi\) |
−0.881996 | + | 0.471257i | \(0.843801\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 604.952 | + | 1047.81i | 0.719325 | + | 1.24591i | ||||
\(842\) | 22.6743 | + | 39.2730i | 0.0269291 | + | 0.0466425i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 79.9216 | − | 138.428i | 0.0946939 | − | 0.164015i | ||||
\(845\) | 1625.75 | − | 4.80591i | 1.92397 | − | 0.00568747i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 630.344i | − | 0.744208i | ||||||
\(848\) | −21.6851 | + | 37.5596i | −0.0255720 | + | 0.0442920i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −21.5034 | − | 36.7417i | −0.0252982 | − | 0.0432255i | ||||
\(851\) | −676.874 | + | 390.793i | −0.795386 | + | 0.459216i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 893.181 | + | 515.678i | 1.04711 | + | 0.604547i | 0.921838 | − | 0.387576i | \(-0.126688\pi\) |
0.125268 | + | 0.992123i | \(0.460021\pi\) | |||||||
\(854\) | − | 154.027i | − | 0.180360i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −330.948 | −0.386621 | ||||||||
\(857\) | 271.764 | − | 470.710i | 0.317111 | − | 0.549253i | −0.662773 | − | 0.748821i | \(-0.730620\pi\) |
0.979884 | + | 0.199568i | \(0.0639538\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −181.682 | − | 314.682i | −0.211504 | − | 0.366335i | 0.740682 | − | 0.671856i | \(-0.234503\pi\) |
−0.952185 | + | 0.305521i | \(0.901169\pi\) | |||||||
\(860\) | 172.784 | − | 100.439i | 0.200912 | − | 0.116790i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −779.999 | − | 450.332i | −0.904871 | − | 0.522427i | ||||
\(863\) | −693.976 | −0.804144 | −0.402072 | − | 0.915608i | \(-0.631710\pi\) | ||||
−0.402072 | + | 0.915608i | \(0.631710\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −768.723 | + | 2.27244i | −0.888697 | + | 0.00262709i | ||||
\(866\) | −728.470 | − | 420.582i | −0.841189 | − | 0.485661i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −448.827 | + | 259.131i | −0.517082 | + | 0.298538i | ||||
\(869\) | 310.833 | − | 179.460i | 0.357691 | − | 0.206513i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 923.958 | − | 1600.34i | 1.06080 | − | 1.83736i | ||||
\(872\) | −238.553 | −0.273570 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 670.256 | 0.766884 | ||||||||
\(875\) | −644.062 | − | 364.272i | −0.736071 | − | 0.416311i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 383.390 | − | 221.350i | 0.437161 | − | 0.252395i | −0.265232 | − | 0.964185i | \(-0.585449\pi\) |
0.702392 | + | 0.711790i | \(0.252115\pi\) | |||||||
\(878\) | 359.012 | + | 621.828i | 0.408898 | + | 0.708232i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 66.0993 | + | 37.9024i | 0.0751128 | + | 0.0430709i | ||||
\(881\) | − | 1448.18i | − | 1.64379i | −0.569642 | − | 0.821893i | \(-0.692918\pi\) | ||
0.569642 | − | 0.821893i | \(-0.307082\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 672.798i | 0.761946i | 0.924586 | + | 0.380973i | \(0.124411\pi\) | ||||
−0.924586 | + | 0.380973i | \(0.875589\pi\) | |||||||
\(884\) | −46.3614 | − | 26.7668i | −0.0524450 | − | 0.0302791i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 481.546 | + | 834.063i | 0.543506 | + | 0.941380i | ||||
\(887\) | 444.968 | + | 770.707i | 0.501655 | + | 0.868891i | 0.999998 | + | 0.00191164i | \(0.000608493\pi\) |
−0.498344 | + | 0.866980i | \(0.666058\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 270.310 | − | 468.191i | 0.304061 | − | 0.526649i | ||||
\(890\) | −2.77307 | − | 938.080i | −0.00311581 | − | 1.05402i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 131.319i | 0.147218i | ||||||||
\(893\) | −356.709 | + | 617.838i | −0.399450 | + | 0.691868i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1264.26 | − | 734.912i | 1.41258 | − | 0.821131i | ||||
\(896\) | −57.9992 | + | 33.4858i | −0.0647312 | + | 0.0373726i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 335.444 | + | 193.669i | 0.373546 | + | 0.215667i | ||||
\(899\) | − | 1982.46i | − | 2.20519i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13.0556 | 0.0144901 | ||||||||
\(902\) | −7.33032 | + | 12.6965i | −0.00812674 | + | 0.0140759i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 113.343 | + | 196.315i | 0.125379 | + | 0.217163i | ||||
\(905\) | 113.080 | + | 194.530i | 0.124951 | + | 0.214951i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 261.396 | + | 150.917i | 0.288199 | + | 0.166392i | 0.637129 | − | 0.770757i | \(-0.280122\pi\) |
−0.348930 | + | 0.937149i | \(0.613455\pi\) | |||||||
\(908\) | 735.409 | 0.809921 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −930.463 | + | 2.75056i | −1.02249 | + | 0.00302259i | ||||
\(911\) | −1186.55 | − | 685.053i | −1.30247 | − | 0.751979i | −0.321640 | − | 0.946862i | \(-0.604234\pi\) |
−0.980827 | + | 0.194883i | \(0.937567\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −312.259 | + | 180.283i | −0.342014 | + | 0.197462i | ||||
\(914\) | −249.198 | + | 143.875i | −0.272646 | + | 0.157412i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 299.641 | − | 518.994i | 0.327119 | − | 0.566587i | ||||
\(917\) | −1349.35 | −1.47148 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −228.522 | −0.248664 | −0.124332 | − | 0.992241i | \(-0.539679\pi\) | ||||
−0.124332 | + | 0.992241i | \(0.539679\pi\) | |||||||
\(920\) | 113.557 | − | 198.037i | 0.123432 | − | 0.215257i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1036.25 | + | 598.278i | −1.12391 | + | 0.648891i | ||||
\(923\) | 1353.60 | + | 2344.51i | 1.46652 | + | 2.54010i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1051.86 | + | 599.029i | 1.13715 | + | 0.647599i | ||||
\(926\) | − | 621.797i | − | 0.671487i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 256.181i | − | 0.276058i | ||||||
\(929\) | −273.889 | − | 158.130i | −0.294821 | − | 0.170215i | 0.345293 | − | 0.938495i | \(-0.387780\pi\) |
−0.640114 | + | 0.768280i | \(0.721113\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −204.927 | − | 354.945i | −0.220115 | − | 0.381251i | ||||
\(932\) | 227.228 | + | 393.571i | 0.243807 | + | 0.422286i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 9.95981 | − | 17.2509i | 0.0106636 | − | 0.0184699i | ||||
\(935\) | −0.0678036 | − | 22.9367i | −7.25172e−5 | − | 0.0245313i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1277.28i | 1.36315i | 0.731746 | + | 0.681577i | \(0.238706\pi\) | ||||
−0.731746 | + | 0.681577i | \(0.761294\pi\) | |||||||
\(938\) | −347.955 | + | 602.676i | −0.370954 | + | 0.642512i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 122.114 | + | 210.071i | 0.129909 | + | 0.223480i | ||||
\(941\) | 1393.26 | − | 804.397i | 1.48061 | − | 0.854832i | 0.480854 | − | 0.876801i | \(-0.340327\pi\) |
0.999759 | + | 0.0219687i | \(0.00699340\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 38.0393 | + | 21.9620i | 0.0403386 | + | 0.0232895i | ||||
\(944\) | 77.5558i | 0.0821566i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 107.679 | 0.113825 | ||||||||
\(947\) | 793.212 | − | 1373.88i | 0.837605 | − | 1.45077i | −0.0542864 | − | 0.998525i | \(-0.517288\pi\) |
0.891892 | − | 0.452249i | \(-0.149378\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1168.34 | + | 2023.62i | 1.23113 | + | 2.13237i | ||||
\(950\) | −524.333 | − | 895.896i | −0.551929 | − | 0.943049i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 17.4593 | + | 10.0801i | 0.0183396 | + | 0.0105884i | ||||
\(953\) | −985.215 | −1.03380 | −0.516902 | − | 0.856045i | \(-0.672915\pi\) | ||||
−0.516902 | + | 0.856045i | \(0.672915\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.78931 | − | 943.574i | −0.00292075 | − | 0.988035i | ||||
\(956\) | −328.774 | − | 189.818i | −0.343906 | − | 0.198554i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −479.606 | + | 276.901i | −0.500632 | + | 0.289040i | ||||
\(959\) | 629.112 | − | 363.218i | 0.656008 | − | 0.378746i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −477.654 | + | 827.320i | −0.497038 | + | 0.860895i | ||||
\(962\) | 1522.16 | 1.58229 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 181.911 | 0.188705 | ||||||||
\(965\) | −394.196 | − | 226.038i | −0.408493 | − | 0.234236i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −361.961 | + | 208.979i | −0.374314 | + | 0.216110i | −0.675341 | − | 0.737505i | \(-0.736004\pi\) |
0.301028 | + | 0.953615i | \(0.402670\pi\) | |||||||
\(968\) | −150.594 | − | 260.836i | −0.155572 | − | 0.269458i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −730.017 | − | 418.603i | −0.752595 | − | 0.431549i | ||||
\(971\) | 685.151i | 0.705613i | 0.935696 | + | 0.352807i | \(0.114773\pi\) | ||||
−0.935696 | + | 0.352807i | \(0.885227\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 227.785i | 0.234105i | ||||||||
\(974\) | 1079.21 | + | 623.080i | 1.10802 | + | 0.639713i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −36.7982 | − | 63.7363i | −0.0377030 | − | 0.0653036i | ||||
\(977\) | 730.930 | + | 1266.01i | 0.748137 | + | 1.29581i | 0.948715 | + | 0.316133i | \(0.102385\pi\) |
−0.200578 | + | 0.979678i | \(0.564282\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 252.711 | − | 437.708i | 0.258132 | − | 0.447097i | ||||
\(980\) | −139.593 | + | 0.412653i | −0.142442 | + | 0.000421074i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 497.287i | 0.506402i | ||||||||
\(983\) | 407.208 | − | 705.306i | 0.414251 | − | 0.717503i | −0.581099 | − | 0.813833i | \(-0.697377\pi\) |
0.995349 | + | 0.0963298i | \(0.0307104\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 806.921 | + | 1388.14i | 0.819209 | + | 1.40927i | ||||
\(986\) | −66.7858 | + | 38.5588i | −0.0677341 | + | 0.0391063i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1130.46 | − | 652.672i | −1.14419 | − | 0.660599i | ||||
\(989\) | − | 322.610i | − | 0.326199i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −594.842 | −0.600244 | −0.300122 | − | 0.953901i | \(-0.597027\pi\) | ||||
−0.300122 | + | 0.953901i | \(0.597027\pi\) | |||||||
\(992\) | −123.816 | + | 214.456i | −0.124815 | + | 0.216185i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −509.756 | − | 882.923i | −0.512833 | − | 0.888252i | ||||
\(995\) | −57.1465 | − | 98.3084i | −0.0574337 | − | 0.0988024i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −297.131 | − | 171.549i | −0.298026 | − | 0.172065i | 0.343530 | − | 0.939142i | \(-0.388377\pi\) |
−0.641556 | + | 0.767077i | \(0.721711\pi\) | |||||||
\(998\) | −681.441 | −0.682807 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 810.3.j.g.269.2 | 24 | ||
3.2 | odd | 2 | inner | 810.3.j.g.269.9 | 24 | ||
5.4 | even | 2 | 810.3.j.h.269.9 | 24 | |||
9.2 | odd | 6 | 810.3.b.c.809.11 | ✓ | 24 | ||
9.4 | even | 3 | 810.3.j.h.539.2 | 24 | |||
9.5 | odd | 6 | 810.3.j.h.539.8 | 24 | |||
9.7 | even | 3 | 810.3.b.c.809.14 | yes | 24 | ||
15.14 | odd | 2 | 810.3.j.h.269.2 | 24 | |||
45.4 | even | 6 | inner | 810.3.j.g.539.8 | 24 | ||
45.14 | odd | 6 | inner | 810.3.j.g.539.2 | 24 | ||
45.29 | odd | 6 | 810.3.b.c.809.13 | yes | 24 | ||
45.34 | even | 6 | 810.3.b.c.809.12 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
810.3.b.c.809.11 | ✓ | 24 | 9.2 | odd | 6 | ||
810.3.b.c.809.12 | yes | 24 | 45.34 | even | 6 | ||
810.3.b.c.809.13 | yes | 24 | 45.29 | odd | 6 | ||
810.3.b.c.809.14 | yes | 24 | 9.7 | even | 3 | ||
810.3.j.g.269.2 | 24 | 1.1 | even | 1 | trivial | ||
810.3.j.g.269.9 | 24 | 3.2 | odd | 2 | inner | ||
810.3.j.g.539.2 | 24 | 45.14 | odd | 6 | inner | ||
810.3.j.g.539.8 | 24 | 45.4 | even | 6 | inner | ||
810.3.j.h.269.2 | 24 | 15.14 | odd | 2 | |||
810.3.j.h.269.9 | 24 | 5.4 | even | 2 | |||
810.3.j.h.539.2 | 24 | 9.4 | even | 3 | |||
810.3.j.h.539.8 | 24 | 9.5 | odd | 6 |