Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [100,4,Mod(3,100)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(100, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 7]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("100.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 100 = 2^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 100.l (of order \(20\), degree \(8\), 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: | \(5.90019100057\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 100.3 |
Dual form | 100.4.l.b.67.17 |
$q$-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 \(\left(\mathbb{Z}/100\mathbb{Z}\right)^\times\).
\(n\) | \(51\) | \(77\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18699 | + | 2.56730i | −0.419665 | + | 0.907679i | ||||
\(3\) | 7.22567 | − | 1.14443i | 1.39058 | − | 0.220246i | 0.584184 | − | 0.811621i | \(-0.301415\pi\) |
0.806397 | + | 0.591375i | \(0.201415\pi\) | |||||||
\(4\) | −5.18210 | − | 6.09474i | −0.647762 | − | 0.761843i | ||||
\(5\) | −7.02886 | − | 8.69454i | −0.628681 | − | 0.777663i | ||||
\(6\) | −5.63871 | + | 19.9089i | −0.383665 | + | 1.35463i | ||||
\(7\) | 11.6198 | + | 11.6198i | 0.627412 | + | 0.627412i | 0.947416 | − | 0.320004i | \(-0.103684\pi\) |
−0.320004 | + | 0.947416i | \(0.603684\pi\) | |||||||
\(8\) | 21.7982 | − | 6.06960i | 0.963352 | − | 0.268241i | ||||
\(9\) | 25.2220 | − | 8.19513i | 0.934148 | − | 0.303523i | ||||
\(10\) | 30.6647 | − | 7.72487i | 0.969704 | − | 0.244282i | ||||
\(11\) | 65.9267 | + | 21.4209i | 1.80706 | + | 0.587149i | 0.999995 | − | 0.00331463i | \(-0.00105508\pi\) |
0.807064 | + | 0.590464i | \(0.201055\pi\) | |||||||
\(12\) | −44.4191 | − | 38.1080i | −1.06856 | − | 0.916736i | ||||
\(13\) | 18.1806 | − | 35.6814i | 0.387876 | − | 0.761249i | −0.611678 | − | 0.791107i | \(-0.709505\pi\) |
0.999554 | + | 0.0298572i | \(0.00950526\pi\) | |||||||
\(14\) | −43.6243 | + | 16.0390i | −0.832792 | + | 0.306186i | ||||
\(15\) | −60.7386 | − | 54.7798i | −1.04551 | − | 0.942939i | ||||
\(16\) | −10.2918 | + | 63.1671i | −0.160809 | + | 0.986986i | ||||
\(17\) | 7.87771 | − | 49.7379i | 0.112390 | − | 0.709601i | −0.865567 | − | 0.500793i | \(-0.833042\pi\) |
0.977957 | − | 0.208808i | \(-0.0669583\pi\) | |||||||
\(18\) | −8.89896 | + | 74.4801i | −0.116528 | + | 0.975285i | ||||
\(19\) | 46.2790 | − | 33.6237i | 0.558797 | − | 0.405990i | −0.272222 | − | 0.962235i | \(-0.587758\pi\) |
0.831018 | + | 0.556245i | \(0.187758\pi\) | |||||||
\(20\) | −16.5667 | + | 87.8951i | −0.185222 | + | 0.982697i | ||||
\(21\) | 97.2592 | + | 70.6630i | 1.01065 | + | 0.734282i | ||||
\(22\) | −133.248 | + | 143.827i | −1.29130 | + | 1.39382i | ||||
\(23\) | 6.85594 | + | 13.4555i | 0.0621549 | + | 0.121986i | 0.919994 | − | 0.391933i | \(-0.128193\pi\) |
−0.857839 | + | 0.513919i | \(0.828193\pi\) | |||||||
\(24\) | 150.560 | − | 68.8034i | 1.28054 | − | 0.585185i | ||||
\(25\) | −26.1901 | + | 122.226i | −0.209521 | + | 0.977804i | ||||
\(26\) | 70.0248 | + | 89.0287i | 0.528192 | + | 0.671537i | ||||
\(27\) | −3.12891 | + | 1.59426i | −0.0223022 | + | 0.0113635i | ||||
\(28\) | 10.6048 | − | 131.035i | 0.0715757 | − | 0.884403i | ||||
\(29\) | −134.554 | + | 185.198i | −0.861591 | + | 1.18588i | 0.119597 | + | 0.992823i | \(0.461840\pi\) |
−0.981188 | + | 0.193056i | \(0.938160\pi\) | |||||||
\(30\) | 212.733 | − | 90.9111i | 1.29465 | − | 0.553267i | ||||
\(31\) | −131.944 | − | 181.605i | −0.764445 | − | 1.05217i | −0.996831 | − | 0.0795442i | \(-0.974654\pi\) |
0.232387 | − | 0.972623i | \(-0.425346\pi\) | |||||||
\(32\) | −149.953 | − | 101.401i | −0.828380 | − | 0.560166i | ||||
\(33\) | 500.879 | + | 79.3315i | 2.64218 | + | 0.418480i | ||||
\(34\) | 118.342 | + | 79.2630i | 0.596924 | + | 0.399809i | ||||
\(35\) | 19.3549 | − | 182.703i | 0.0934736 | − | 0.882358i | ||||
\(36\) | −180.650 | − | 111.254i | −0.836343 | − | 0.515063i | ||||
\(37\) | −215.758 | − | 109.934i | −0.958660 | − | 0.488462i | −0.0966307 | − | 0.995320i | \(-0.530807\pi\) |
−0.862029 | + | 0.506859i | \(0.830807\pi\) | |||||||
\(38\) | 31.3893 | + | 158.723i | 0.134001 | + | 0.677588i | ||||
\(39\) | 90.5319 | − | 278.628i | 0.371710 | − | 1.14401i | ||||
\(40\) | −205.989 | − | 146.863i | −0.814242 | − | 0.580526i | ||||
\(41\) | −32.8623 | − | 101.140i | −0.125176 | − | 0.385253i | 0.868757 | − | 0.495239i | \(-0.164919\pi\) |
−0.993933 | + | 0.109986i | \(0.964919\pi\) | |||||||
\(42\) | −296.859 | + | 165.817i | −1.09063 | + | 0.609195i | ||||
\(43\) | −230.751 | + | 230.751i | −0.818353 | + | 0.818353i | −0.985869 | − | 0.167516i | \(-0.946425\pi\) |
0.167516 | + | 0.985869i | \(0.446425\pi\) | |||||||
\(44\) | −211.084 | − | 512.811i | −0.723229 | − | 1.75703i | ||||
\(45\) | −248.535 | − | 161.691i | −0.823320 | − | 0.535634i | ||||
\(46\) | −42.6824 | + | 1.62965i | −0.136808 | + | 0.00522345i | ||||
\(47\) | 54.4120 | + | 343.544i | 0.168868 | + | 1.06619i | 0.915901 | + | 0.401405i | \(0.131478\pi\) |
−0.747033 | + | 0.664787i | \(0.768522\pi\) | |||||||
\(48\) | −2.07437 | + | 468.202i | −0.00623771 | + | 1.40790i | ||||
\(49\) | − | 72.9587i | − | 0.212708i | ||||||
\(50\) | −282.703 | − | 212.319i | −0.799604 | − | 0.600528i | ||||
\(51\) | − | 368.405i | − | 1.01151i | ||||||
\(52\) | −311.683 | + | 74.0985i | −0.831204 | + | 0.197608i | ||||
\(53\) | 44.0201 | + | 277.932i | 0.114087 | + | 0.720318i | 0.976725 | + | 0.214496i | \(0.0688109\pi\) |
−0.862638 | + | 0.505822i | \(0.831189\pi\) | |||||||
\(54\) | −0.378954 | − | 9.92523i | −0.000954982 | − | 0.0250121i | ||||
\(55\) | −277.145 | − | 723.767i | −0.679459 | − | 1.77441i | ||||
\(56\) | 323.819 | + | 182.763i | 0.772716 | + | 0.436121i | ||||
\(57\) | 295.917 | − | 295.917i | 0.687634 | − | 0.687634i | ||||
\(58\) | −315.745 | − | 565.271i | −0.714817 | − | 1.27972i | ||||
\(59\) | 175.403 | + | 539.834i | 0.387042 | + | 1.19119i | 0.934988 | + | 0.354680i | \(0.115410\pi\) |
−0.547945 | + | 0.836514i | \(0.684590\pi\) | |||||||
\(60\) | −19.1157 | + | 654.060i | −0.0411305 | + | 1.40731i | ||||
\(61\) | 218.841 | − | 673.524i | 0.459340 | − | 1.41370i | −0.406623 | − | 0.913596i | \(-0.633294\pi\) |
0.865963 | − | 0.500108i | \(-0.166706\pi\) | |||||||
\(62\) | 622.851 | − | 123.176i | 1.27584 | − | 0.252312i | ||||
\(63\) | 388.302 | + | 197.850i | 0.776530 | + | 0.395662i | ||||
\(64\) | 438.320 | − | 264.612i | 0.856094 | − | 0.516821i | ||||
\(65\) | −438.022 | + | 92.7279i | −0.835846 | + | 0.176946i | ||||
\(66\) | −798.208 | + | 1191.74i | −1.48868 | + | 2.22263i | ||||
\(67\) | 187.034 | + | 29.6233i | 0.341043 | + | 0.0540158i | 0.324607 | − | 0.945849i | \(-0.394768\pi\) |
0.0164359 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(68\) | −343.963 | + | 209.734i | −0.613406 | + | 0.374029i | ||||
\(69\) | 64.9377 | + | 89.3791i | 0.113298 | + | 0.155942i | ||||
\(70\) | 446.081 | + | 266.558i | 0.761670 | + | 0.455139i | ||||
\(71\) | −40.8193 | + | 56.1830i | −0.0682304 | + | 0.0939112i | −0.841768 | − | 0.539839i | \(-0.818485\pi\) |
0.773538 | + | 0.633750i | \(0.218485\pi\) | |||||||
\(72\) | 500.052 | − | 331.726i | 0.818496 | − | 0.542976i | ||||
\(73\) | 93.5321 | − | 47.6570i | 0.149960 | − | 0.0764086i | −0.377400 | − | 0.926050i | \(-0.623182\pi\) |
0.527360 | + | 0.849642i | \(0.323182\pi\) | |||||||
\(74\) | 538.338 | − | 423.425i | 0.845683 | − | 0.665165i | ||||
\(75\) | −49.3621 | + | 913.134i | −0.0759979 | + | 1.40586i | ||||
\(76\) | −444.750 | − | 107.818i | −0.671267 | − | 0.162731i | ||||
\(77\) | 517.150 | + | 1014.96i | 0.765386 | + | 1.50216i | ||||
\(78\) | 607.863 | + | 563.153i | 0.882397 | + | 0.817494i | ||||
\(79\) | −81.5616 | − | 59.2580i | −0.116157 | − | 0.0843929i | 0.528190 | − | 0.849126i | \(-0.322871\pi\) |
−0.644347 | + | 0.764733i | \(0.722871\pi\) | |||||||
\(80\) | 621.548 | − | 354.511i | 0.868640 | − | 0.495444i | ||||
\(81\) | −600.072 | + | 435.978i | −0.823144 | + | 0.598049i | ||||
\(82\) | 298.663 | + | 35.6846i | 0.402218 | + | 0.0480574i | ||||
\(83\) | −44.4305 | + | 280.523i | −0.0587575 | + | 0.370981i | 0.940735 | + | 0.339141i | \(0.110136\pi\) |
−0.999493 | + | 0.0318393i | \(0.989864\pi\) | |||||||
\(84\) | −73.3341 | − | 958.952i | −0.0952548 | − | 1.24560i | ||||
\(85\) | −487.820 | + | 281.108i | −0.622488 | + | 0.358711i | ||||
\(86\) | −318.508 | − | 866.307i | −0.399367 | − | 1.08624i | ||||
\(87\) | −760.299 | + | 1492.17i | −0.936926 | + | 1.83882i | ||||
\(88\) | 1567.10 | + | 66.7874i | 1.89833 | + | 0.0809041i | ||||
\(89\) | 836.194 | + | 271.696i | 0.995914 | + | 0.323592i | 0.761232 | − | 0.648480i | \(-0.224595\pi\) |
0.234682 | + | 0.972072i | \(0.424595\pi\) | |||||||
\(90\) | 710.120 | − | 446.138i | 0.831702 | − | 0.522523i | ||||
\(91\) | 625.868 | − | 203.357i | 0.720975 | − | 0.234259i | ||||
\(92\) | 46.4799 | − | 111.513i | 0.0526725 | − | 0.126370i | ||||
\(93\) | −1161.22 | − | 1161.22i | −1.29476 | − | 1.29476i | ||||
\(94\) | −946.568 | − | 268.092i | −1.03863 | − | 0.294166i | ||||
\(95\) | −617.632 | − | 166.039i | −0.667028 | − | 0.179318i | ||||
\(96\) | −1199.56 | − | 561.079i | −1.27530 | − | 0.596509i | ||||
\(97\) | −1068.82 | + | 169.285i | −1.11879 | + | 0.177198i | −0.688319 | − | 0.725408i | \(-0.741651\pi\) |
−0.430467 | + | 0.902606i | \(0.641651\pi\) | |||||||
\(98\) | 187.307 | + | 86.6015i | 0.193070 | + | 0.0892660i | ||||
\(99\) | 1838.35 | 1.86627 | ||||||||
\(100\) | 880.653 | − | 473.762i | 0.880653 | − | 0.473762i | ||||
\(101\) | −1152.79 | −1.13571 | −0.567857 | − | 0.823127i | \(-0.692227\pi\) | ||||
−0.567857 | + | 0.823127i | \(0.692227\pi\) | |||||||
\(102\) | 945.808 | + | 437.294i | 0.918127 | + | 0.424496i | ||||
\(103\) | −693.319 | + | 109.811i | −0.663250 | + | 0.105049i | −0.478978 | − | 0.877827i | \(-0.658993\pi\) |
−0.184272 | + | 0.982875i | \(0.558993\pi\) | |||||||
\(104\) | 179.732 | − | 888.138i | 0.169463 | − | 0.837395i | ||||
\(105\) | −69.2399 | − | 1342.30i | −0.0643535 | − | 1.24758i | ||||
\(106\) | −765.787 | − | 216.890i | −0.701696 | − | 0.198738i | ||||
\(107\) | 700.541 | + | 700.541i | 0.632933 | + | 0.632933i | 0.948803 | − | 0.315870i | \(-0.102296\pi\) |
−0.315870 | + | 0.948803i | \(0.602296\pi\) | |||||||
\(108\) | 25.9309 | + | 10.8083i | 0.0231037 | + | 0.00962989i | ||||
\(109\) | −846.440 | + | 275.025i | −0.743801 | + | 0.241675i | −0.656312 | − | 0.754490i | \(-0.727884\pi\) |
−0.0874891 | + | 0.996165i | \(0.527884\pi\) | |||||||
\(110\) | 2187.10 | + | 147.591i | 1.89574 | + | 0.127929i | ||||
\(111\) | −1684.81 | − | 547.427i | −1.44068 | − | 0.468104i | ||||
\(112\) | −853.580 | + | 614.403i | −0.720140 | + | 0.518353i | ||||
\(113\) | 553.168 | − | 1085.65i | 0.460510 | − | 0.903802i | −0.537650 | − | 0.843168i | \(-0.680688\pi\) |
0.998160 | − | 0.0606339i | \(-0.0193122\pi\) | |||||||
\(114\) | 408.457 | + | 1110.96i | 0.335575 | + | 0.912727i | ||||
\(115\) | 68.8003 | − | 154.187i | 0.0557884 | − | 0.125026i | ||||
\(116\) | 1826.01 | − | 139.641i | 1.46156 | − | 0.111770i | ||||
\(117\) | 166.137 | − | 1048.95i | 0.131277 | − | 0.828849i | ||||
\(118\) | −1594.12 | − | 190.467i | −1.24365 | − | 0.148593i | ||||
\(119\) | 669.484 | − | 486.409i | 0.515727 | − | 0.374698i | ||||
\(120\) | −1656.48 | − | 825.440i | −1.26013 | − | 0.627934i | ||||
\(121\) | 2810.67 | + | 2042.07i | 2.11170 | + | 1.53424i | ||||
\(122\) | 1469.38 | + | 1361.30i | 1.09042 | + | 1.01022i | ||||
\(123\) | −353.199 | − | 693.192i | −0.258918 | − | 0.508155i | ||||
\(124\) | −423.090 | + | 1745.26i | −0.306408 | + | 1.26394i | ||||
\(125\) | 1246.78 | − | 631.396i | 0.892124 | − | 0.451790i | ||||
\(126\) | −968.851 | + | 762.042i | −0.685017 | + | 0.538795i | ||||
\(127\) | −1610.38 | + | 820.528i | −1.12518 | + | 0.573308i | −0.914637 | − | 0.404277i | \(-0.867523\pi\) |
−0.210543 | + | 0.977585i | \(0.567523\pi\) | |||||||
\(128\) | 159.057 | + | 1439.39i | 0.109834 | + | 0.993950i | ||||
\(129\) | −1403.25 | + | 1931.41i | −0.957746 | + | 1.31822i | ||||
\(130\) | 281.869 | − | 1234.60i | 0.190166 | − | 0.832938i | ||||
\(131\) | 125.531 | + | 172.779i | 0.0837229 | + | 0.115235i | 0.848824 | − | 0.528675i | \(-0.177311\pi\) |
−0.765101 | + | 0.643910i | \(0.777311\pi\) | |||||||
\(132\) | −2112.10 | − | 3463.83i | −1.39269 | − | 2.28400i | ||||
\(133\) | 928.457 | + | 147.053i | 0.605319 | + | 0.0958731i | ||||
\(134\) | −298.060 | + | 445.011i | −0.192153 | + | 0.286889i | ||||
\(135\) | 35.8540 | + | 15.9986i | 0.0228579 | + | 0.0101996i | ||||
\(136\) | −130.169 | − | 1132.01i | −0.0820731 | − | 0.713743i | ||||
\(137\) | −1643.21 | − | 837.259i | −1.02474 | − | 0.522130i | −0.140950 | − | 0.990017i | \(-0.545016\pi\) |
−0.883789 | + | 0.467886i | \(0.845016\pi\) | |||||||
\(138\) | −306.544 | + | 60.6225i | −0.189092 | + | 0.0373951i | ||||
\(139\) | 275.733 | − | 848.620i | 0.168255 | − | 0.517835i | −0.831007 | − | 0.556262i | \(-0.812235\pi\) |
0.999261 | + | 0.0384277i | \(0.0122349\pi\) | |||||||
\(140\) | −1213.83 | + | 828.824i | −0.732766 | + | 0.500346i | ||||
\(141\) | 786.326 | + | 2420.06i | 0.469650 | + | 1.44543i | ||||
\(142\) | −95.7865 | − | 171.484i | −0.0566072 | − | 0.101343i | ||||
\(143\) | 1962.91 | − | 1962.91i | 1.14788 | − | 1.14788i | ||||
\(144\) | 258.083 | + | 1677.54i | 0.149354 | + | 0.970800i | ||||
\(145\) | 2555.98 | − | 131.845i | 1.46388 | − | 0.0755110i | ||||
\(146\) | 11.3280 | + | 296.694i | 0.00642132 | + | 0.168182i | ||||
\(147\) | −83.4964 | − | 527.175i | −0.0468481 | − | 0.295787i | ||||
\(148\) | 448.058 | + | 1884.68i | 0.248852 | + | 1.04675i | ||||
\(149\) | − | 1482.56i | − | 0.815140i | −0.913174 | − | 0.407570i | \(-0.866376\pi\) | ||
0.913174 | − | 0.407570i | \(-0.133624\pi\) | |||||||
\(150\) | −2285.70 | − | 1210.61i | −1.24418 | − | 0.658973i | ||||
\(151\) | − | 1463.79i | − | 0.788882i | −0.918921 | − | 0.394441i | \(-0.870938\pi\) | ||
0.918921 | − | 0.394441i | \(-0.129062\pi\) | |||||||
\(152\) | 804.716 | − | 1013.83i | 0.429415 | − | 0.541003i | ||||
\(153\) | −208.917 | − | 1319.05i | −0.110392 | − | 0.696986i | ||||
\(154\) | −3219.58 | + | 122.926i | −1.68468 | + | 0.0643225i | ||||
\(155\) | −651.557 | + | 2423.67i | −0.337641 | + | 1.25596i | ||||
\(156\) | −2167.31 | + | 892.111i | −1.11233 | + | 0.457859i | ||||
\(157\) | −1811.17 | + | 1811.17i | −0.920681 | + | 0.920681i | −0.997077 | − | 0.0763968i | \(-0.975658\pi\) |
0.0763968 | + | 0.997077i | \(0.475658\pi\) | |||||||
\(158\) | 248.946 | − | 139.055i | 0.125349 | − | 0.0700164i | ||||
\(159\) | 636.149 | + | 1957.87i | 0.317295 | + | 0.976533i | ||||
\(160\) | 172.363 | + | 2016.50i | 0.0851657 | + | 0.996367i | ||||
\(161\) | −76.6863 | + | 236.016i | −0.0375387 | + | 0.115532i | ||||
\(162\) | −407.006 | − | 2058.07i | −0.197392 | − | 0.998131i | ||||
\(163\) | −3168.05 | − | 1614.20i | −1.52233 | − | 0.775668i | −0.525175 | − | 0.850994i | \(-0.676000\pi\) |
−0.997159 | + | 0.0753263i | \(0.976000\pi\) | |||||||
\(164\) | −446.125 | + | 724.402i | −0.212418 | + | 0.344916i | ||||
\(165\) | −2830.86 | − | 4912.52i | −1.33565 | − | 2.31782i | ||||
\(166\) | −667.449 | − | 447.045i | −0.312073 | − | 0.209021i | ||||
\(167\) | 1538.44 | + | 243.665i | 0.712862 | + | 0.112906i | 0.502324 | − | 0.864680i | \(-0.332479\pi\) |
0.210538 | + | 0.977586i | \(0.432479\pi\) | |||||||
\(168\) | 2548.97 | + | 949.998i | 1.17058 | + | 0.436274i | ||||
\(169\) | 348.735 | + | 479.992i | 0.158732 | + | 0.218476i | ||||
\(170\) | −142.651 | − | 1586.05i | −0.0643578 | − | 0.715558i | ||||
\(171\) | 891.700 | − | 1227.32i | 0.398772 | − | 0.548862i | ||||
\(172\) | 2602.14 | + | 210.594i | 1.15355 | + | 0.0933584i | ||||
\(173\) | −84.0458 | + | 42.8235i | −0.0369357 | + | 0.0188197i | −0.472361 | − | 0.881405i | \(-0.656598\pi\) |
0.435425 | + | 0.900225i | \(0.356598\pi\) | |||||||
\(174\) | −2928.38 | − | 3723.11i | −1.27586 | − | 1.62212i | ||||
\(175\) | −1724.57 | + | 1115.92i | −0.744942 | + | 0.482030i | ||||
\(176\) | −2031.60 | + | 3943.94i | −0.870099 | + | 1.68912i | ||||
\(177\) | 1885.21 | + | 3699.93i | 0.800569 | + | 1.57121i | ||||
\(178\) | −1690.08 | + | 1824.26i | −0.711668 | + | 0.768170i | ||||
\(179\) | −35.9970 | − | 26.1533i | −0.0150309 | − | 0.0109206i | 0.580244 | − | 0.814442i | \(-0.302957\pi\) |
−0.595275 | + | 0.803522i | \(0.702957\pi\) | |||||||
\(180\) | 302.465 | + | 2352.66i | 0.125247 | + | 0.974204i | ||||
\(181\) | 3717.61 | − | 2701.00i | 1.52667 | − | 1.10919i | 0.568619 | − | 0.822601i | \(-0.307478\pi\) |
0.958053 | − | 0.286591i | \(-0.0925222\pi\) | |||||||
\(182\) | −220.822 | + | 1848.18i | −0.0899364 | + | 0.752725i | ||||
\(183\) | 810.471 | − | 5117.11i | 0.327386 | − | 2.06704i | ||||
\(184\) | 231.117 | + | 251.693i | 0.0925987 | + | 0.100843i | ||||
\(185\) | 560.707 | + | 2648.63i | 0.222832 | + | 1.05260i | ||||
\(186\) | 4359.55 | − | 1602.84i | 1.71859 | − | 0.631859i | ||||
\(187\) | 1584.78 | − | 3110.31i | 0.619736 | − | 1.21630i | ||||
\(188\) | 1811.84 | − | 2111.90i | 0.702884 | − | 0.819290i | ||||
\(189\) | −54.8824 | − | 17.8324i | −0.0211223 | − | 0.00686304i | ||||
\(190\) | 1159.40 | − | 1388.56i | 0.442692 | − | 0.530194i | ||||
\(191\) | 2544.88 | − | 826.883i | 0.964091 | − | 0.313252i | 0.215663 | − | 0.976468i | \(-0.430809\pi\) |
0.748428 | + | 0.663216i | \(0.230809\pi\) | |||||||
\(192\) | 2864.32 | − | 2413.63i | 1.07664 | − | 0.907232i | ||||
\(193\) | 2360.35 | + | 2360.35i | 0.880318 | + | 0.880318i | 0.993567 | − | 0.113248i | \(-0.0361256\pi\) |
−0.113248 | + | 0.993567i | \(0.536126\pi\) | |||||||
\(194\) | 834.078 | − | 2944.93i | 0.308677 | − | 1.08986i | ||||
\(195\) | −3058.88 | + | 1171.31i | −1.12334 | + | 0.430149i | ||||
\(196\) | −444.665 | + | 378.079i | −0.162050 | + | 0.137784i | ||||
\(197\) | −3616.92 | + | 572.863i | −1.30809 | + | 0.207182i | −0.771268 | − | 0.636511i | \(-0.780377\pi\) |
−0.536827 | + | 0.843693i | \(0.680377\pi\) | |||||||
\(198\) | −2182.11 | + | 4719.60i | −0.783211 | + | 1.69398i | ||||
\(199\) | 1491.72 | 0.531381 | 0.265691 | − | 0.964058i | \(-0.414400\pi\) | ||||
0.265691 | + | 0.964058i | \(0.414400\pi\) | |||||||
\(200\) | 170.963 | + | 2823.26i | 0.0604446 | + | 0.998172i | ||||
\(201\) | 1385.35 | 0.486144 | ||||||||
\(202\) | 1368.36 | − | 2959.57i | 0.476620 | − | 1.03086i | ||||
\(203\) | −3715.48 | + | 588.474i | −1.28461 | + | 0.203462i | ||||
\(204\) | −2245.33 | + | 1909.11i | −0.770612 | + | 0.655218i | ||||
\(205\) | −648.378 | + | 996.619i | −0.220901 | + | 0.339546i | ||||
\(206\) | 541.047 | − | 1910.31i | 0.182993 | − | 0.646103i | ||||
\(207\) | 283.191 | + | 283.191i | 0.0950875 | + | 0.0950875i | ||||
\(208\) | 2066.78 | + | 1515.64i | 0.688968 | + | 0.505244i | ||||
\(209\) | 3771.27 | − | 1225.36i | 1.24815 | − | 0.405550i | ||||
\(210\) | 3528.29 | + | 1415.55i | 1.15941 | + | 0.465152i | ||||
\(211\) | 273.703 | + | 88.9314i | 0.0893008 | + | 0.0290156i | 0.353327 | − | 0.935500i | \(-0.385050\pi\) |
−0.264026 | + | 0.964516i | \(0.585050\pi\) | |||||||
\(212\) | 1465.81 | − | 1708.56i | 0.474868 | − | 0.553511i | ||||
\(213\) | −230.649 | + | 452.674i | −0.0741963 | + | 0.145618i | ||||
\(214\) | −2630.04 | + | 966.964i | −0.840120 | + | 0.308880i | ||||
\(215\) | 3628.19 | + | 384.356i | 1.15089 | + | 0.121920i | ||||
\(216\) | −58.5280 | + | 53.7431i | −0.0184367 | + | 0.0169294i | ||||
\(217\) | 577.055 | − | 3643.38i | 0.180521 | − | 1.13976i | ||||
\(218\) | 298.646 | − | 2499.52i | 0.0927836 | − | 0.776555i | ||||
\(219\) | 621.291 | − | 451.395i | 0.191703 | − | 0.139280i | ||||
\(220\) | −2974.98 | + | 5439.76i | −0.911696 | + | 1.66704i | ||||
\(221\) | −1631.50 | − | 1185.35i | −0.496590 | − | 0.360794i | ||||
\(222\) | 3405.27 | − | 3675.62i | 1.02949 | − | 1.11122i | ||||
\(223\) | 935.724 | + | 1836.46i | 0.280990 | + | 0.551474i | 0.987762 | − | 0.155967i | \(-0.0498495\pi\) |
−0.706772 | + | 0.707441i | \(0.749849\pi\) | |||||||
\(224\) | −564.165 | − | 2920.69i | −0.168281 | − | 0.871191i | ||||
\(225\) | 341.086 | + | 3297.40i | 0.101063 | + | 0.977009i | ||||
\(226\) | 2130.59 | + | 2708.81i | 0.627102 | + | 0.797290i | ||||
\(227\) | −2607.34 | + | 1328.51i | −0.762358 | + | 0.388441i | −0.791527 | − | 0.611134i | \(-0.790714\pi\) |
0.0291695 | + | 0.999574i | \(0.490714\pi\) | |||||||
\(228\) | −3337.01 | − | 270.067i | −0.969292 | − | 0.0784458i | ||||
\(229\) | −921.927 | + | 1268.92i | −0.266038 | + | 0.366170i | −0.921047 | − | 0.389451i | \(-0.872665\pi\) |
0.655009 | + | 0.755621i | \(0.272665\pi\) | |||||||
\(230\) | 314.178 | + | 359.650i | 0.0900708 | + | 0.103107i | ||||
\(231\) | 4898.32 | + | 6741.95i | 1.39518 | + | 1.92029i | ||||
\(232\) | −1808.96 | + | 4853.67i | −0.511914 | + | 1.37353i | ||||
\(233\) | −3533.93 | − | 559.719i | −0.993628 | − | 0.157375i | −0.361611 | − | 0.932329i | \(-0.617773\pi\) |
−0.632018 | + | 0.774954i | \(0.717773\pi\) | |||||||
\(234\) | 2495.77 | + | 1671.62i | 0.697237 | + | 0.466997i | ||||
\(235\) | 2604.50 | − | 2887.81i | 0.722974 | − | 0.801617i | ||||
\(236\) | 2381.20 | − | 3866.51i | 0.656791 | − | 1.06648i | ||||
\(237\) | −657.154 | − | 334.837i | −0.180113 | − | 0.0917720i | ||||
\(238\) | 454.086 | + | 2296.13i | 0.123672 | + | 0.625362i | ||||
\(239\) | −1558.30 | + | 4795.94i | −0.421748 | + | 1.29801i | 0.484326 | + | 0.874888i | \(0.339065\pi\) |
−0.906074 | + | 0.423119i | \(0.860935\pi\) | |||||||
\(240\) | 4085.39 | − | 3272.90i | 1.09879 | − | 0.880269i | ||||
\(241\) | −2052.86 | − | 6318.04i | −0.548697 | − | 1.68872i | −0.712033 | − | 0.702146i | \(-0.752225\pi\) |
0.163336 | − | 0.986571i | \(-0.447775\pi\) | |||||||
\(242\) | −8578.87 | + | 4791.92i | −2.27880 | + | 1.27288i | ||||
\(243\) | −3769.93 | + | 3769.93i | −0.995231 | + | 0.995231i | ||||
\(244\) | −5239.01 | + | 2156.49i | −1.37456 | + | 0.565799i | ||||
\(245\) | −634.343 | + | 512.817i | −0.165415 | + | 0.133725i | ||||
\(246\) | 2198.88 | − | 83.9551i | 0.569900 | − | 0.0217593i | ||||
\(247\) | −358.361 | − | 2262.60i | −0.0923155 | − | 0.582857i | ||||
\(248\) | −3978.40 | − | 3157.81i | −1.01866 | − | 0.808552i | ||||
\(249\) | 2077.81i | 0.528819i | ||||||||
\(250\) | 141.063 | + | 3950.33i | 0.0356865 | + | 0.999363i | ||||
\(251\) | − | 4539.29i | − | 1.14150i | −0.821123 | − | 0.570751i | \(-0.806652\pi\) | ||
0.821123 | − | 0.570751i | \(-0.193348\pi\) | |||||||
\(252\) | −806.374 | − | 3391.87i | −0.201575 | − | 0.847889i | ||||
\(253\) | 163.760 | + | 1033.94i | 0.0406937 | + | 0.256930i | ||||
\(254\) | −195.039 | − | 5108.29i | −0.0481804 | − | 1.26190i | ||||
\(255\) | −3203.11 | + | 2589.47i | −0.786615 | + | 0.635917i | ||||
\(256\) | −3884.16 | − | 1300.20i | −0.948281 | − | 0.317432i | ||||
\(257\) | 2306.85 | − | 2306.85i | 0.559911 | − | 0.559911i | −0.369371 | − | 0.929282i | \(-0.620427\pi\) |
0.929282 | + | 0.369371i | \(0.120427\pi\) | |||||||
\(258\) | −3292.86 | − | 5895.14i | −0.794592 | − | 1.42254i | ||||
\(259\) | −1229.66 | − | 3784.49i | −0.295008 | − | 0.907942i | ||||
\(260\) | 2835.03 | + | 2189.11i | 0.676234 | + | 0.522164i | ||||
\(261\) | −1876.01 | + | 5773.76i | −0.444912 | + | 1.36930i | ||||
\(262\) | −592.580 | + | 117.189i | −0.139732 | + | 0.0276335i | ||||
\(263\) | 3583.60 | + | 1825.93i | 0.840205 | + | 0.428106i | 0.820463 | − | 0.571699i | \(-0.193716\pi\) |
0.0197418 | + | 0.999805i | \(0.493716\pi\) | |||||||
\(264\) | 11399.8 | − | 1310.85i | 2.65760 | − | 0.305597i | ||||
\(265\) | 2107.08 | − | 2336.28i | 0.488441 | − | 0.541572i | ||||
\(266\) | −1479.60 | + | 2209.08i | −0.341053 | + | 0.509200i | ||||
\(267\) | 6352.99 | + | 1006.22i | 1.45617 | + | 0.230634i | ||||
\(268\) | −788.682 | − | 1293.44i | −0.179763 | − | 0.294810i | ||||
\(269\) | −1460.46 | − | 2010.16i | −0.331026 | − | 0.455619i | 0.610767 | − | 0.791810i | \(-0.290861\pi\) |
−0.941794 | + | 0.336191i | \(0.890861\pi\) | |||||||
\(270\) | −83.6317 | + | 73.0579i | −0.0188506 | + | 0.0164673i | ||||
\(271\) | 1695.67 | − | 2333.89i | 0.380091 | − | 0.523150i | −0.575518 | − | 0.817789i | \(-0.695199\pi\) |
0.955609 | + | 0.294639i | \(0.0951994\pi\) | |||||||
\(272\) | 3060.72 | + | 1009.50i | 0.682293 | + | 0.225037i | ||||
\(273\) | 4289.58 | − | 2185.65i | 0.950979 | − | 0.484548i | ||||
\(274\) | 4099.98 | − | 3224.81i | 0.903974 | − | 0.711014i | ||||
\(275\) | −4344.81 | + | 7496.91i | −0.952733 | + | 1.64393i | ||||
\(276\) | 208.229 | − | 858.950i | 0.0454128 | − | 0.187329i | ||||
\(277\) | −1716.12 | − | 3368.07i | −0.372244 | − | 0.730570i | 0.626565 | − | 0.779369i | \(-0.284460\pi\) |
−0.998809 | + | 0.0487995i | \(0.984460\pi\) | |||||||
\(278\) | 1851.37 | + | 1715.20i | 0.399417 | + | 0.370039i | ||||
\(279\) | −4816.16 | − | 3499.14i | −1.03346 | − | 0.750854i | ||||
\(280\) | −687.035 | − | 4100.08i | −0.146636 | − | 0.875094i | ||||
\(281\) | 673.955 | − | 489.657i | 0.143078 | − | 0.103952i | −0.513944 | − | 0.857824i | \(-0.671816\pi\) |
0.657021 | + | 0.753872i | \(0.271816\pi\) | |||||||
\(282\) | −7146.40 | − | 853.860i | −1.50908 | − | 0.180307i | ||||
\(283\) | 188.594 | − | 1190.73i | 0.0396139 | − | 0.250112i | −0.959932 | − | 0.280232i | \(-0.909589\pi\) |
0.999546 | + | 0.0301192i | \(0.00958870\pi\) | |||||||
\(284\) | 553.950 | − | 42.3623i | 0.115743 | − | 0.00885120i | ||||
\(285\) | −4652.82 | − | 492.902i | −0.967050 | − | 0.102446i | ||||
\(286\) | 2709.43 | + | 7369.36i | 0.560182 | + | 1.52363i | ||||
\(287\) | 793.372 | − | 1557.08i | 0.163175 | − | 0.320249i | ||||
\(288\) | −4613.10 | − | 1328.65i | −0.943853 | − | 0.271846i | ||||
\(289\) | 2260.74 | + | 734.558i | 0.460154 | + | 0.149513i | ||||
\(290\) | −2695.44 | + | 6718.47i | −0.545800 | + | 1.36042i | ||||
\(291\) | −7529.21 | + | 2446.39i | −1.51674 | + | 0.492817i | ||||
\(292\) | −775.149 | − | 323.091i | −0.155350 | − | 0.0647516i | ||||
\(293\) | 1337.99 | + | 1337.99i | 0.266779 | + | 0.266779i | 0.827801 | − | 0.561022i | \(-0.189592\pi\) |
−0.561022 | + | 0.827801i | \(0.689592\pi\) | |||||||
\(294\) | 1452.53 | + | 411.393i | 0.288140 | + | 0.0816086i | ||||
\(295\) | 3460.73 | − | 5319.47i | 0.683022 | − | 1.04987i | ||||
\(296\) | −5370.39 | − | 1086.80i | −1.05455 | − | 0.213409i | ||||
\(297\) | −240.429 | + | 38.0802i | −0.0469734 | + | 0.00743986i | ||||
\(298\) | 3806.18 | + | 1759.79i | 0.739886 | + | 0.342086i | ||||
\(299\) | 604.758 | 0.116970 | ||||||||
\(300\) | 5821.11 | − | 4431.10i | 1.12027 | − | 0.852765i | ||||
\(301\) | −5362.57 | −1.02689 | ||||||||
\(302\) | 3757.98 | + | 1737.50i | 0.716051 | + | 0.331066i | ||||
\(303\) | −8329.70 | + | 1319.29i | −1.57930 | + | 0.250137i | ||||
\(304\) | 1647.62 | + | 3269.36i | 0.310846 | + | 0.616811i | ||||
\(305\) | −7394.19 | + | 2831.39i | −1.38816 | + | 0.531556i | ||||
\(306\) | 3634.38 | + | 1029.35i | 0.678967 | + | 0.192301i | ||||
\(307\) | 5635.94 | + | 5635.94i | 1.04775 | + | 1.04775i | 0.998801 | + | 0.0489522i | \(0.0155882\pi\) |
0.0489522 | + | 0.998801i | \(0.484412\pi\) | |||||||
\(308\) | 3506.03 | − | 8411.54i | 0.648618 | − | 1.55614i | ||||
\(309\) | −4884.02 | + | 1586.91i | −0.899166 | + | 0.292157i | ||||
\(310\) | −5448.89 | − | 4549.62i | −0.998311 | − | 0.833552i | ||||
\(311\) | 5399.32 | + | 1754.35i | 0.984461 | + | 0.319871i | 0.756640 | − | 0.653832i | \(-0.226840\pi\) |
0.227821 | + | 0.973703i | \(0.426840\pi\) | |||||||
\(312\) | 282.266 | − | 6623.08i | 0.0512185 | − | 1.20179i | ||||
\(313\) | 225.552 | − | 442.671i | 0.0407315 | − | 0.0799402i | −0.869744 | − | 0.493504i | \(-0.835716\pi\) |
0.910475 | + | 0.413563i | \(0.135716\pi\) | |||||||
\(314\) | −2499.97 | − | 6799.66i | −0.449305 | − | 1.22206i | ||||
\(315\) | −1009.11 | − | 4766.76i | −0.180498 | − | 0.852624i | ||||
\(316\) | 61.4980 | + | 804.177i | 0.0109479 | + | 0.143160i | ||||
\(317\) | 53.7315 | − | 339.248i | 0.00952008 | − | 0.0601074i | −0.982471 | − | 0.186416i | \(-0.940313\pi\) |
0.991991 | + | 0.126308i | \(0.0403129\pi\) | |||||||
\(318\) | −5781.54 | − | 690.784i | −1.01954 | − | 0.121815i | ||||
\(319\) | −12837.8 | + | 9327.24i | −2.25323 | + | 1.63707i | ||||
\(320\) | −5381.57 | − | 1951.07i | −0.940122 | − | 0.340838i | ||||
\(321\) | 5863.60 | + | 4260.15i | 1.01955 | + | 0.740743i | ||||
\(322\) | −514.899 | − | 477.027i | −0.0891125 | − | 0.0825579i | ||||
\(323\) | −1307.80 | − | 2566.70i | −0.225288 | − | 0.442152i | ||||
\(324\) | 5766.80 | + | 1398.01i | 0.988821 | + | 0.239713i | ||||
\(325\) | 3885.03 | + | 3156.63i | 0.663085 | + | 0.538764i | ||||
\(326\) | 7904.59 | − | 6217.29i | 1.34293 | − | 1.05627i | ||||
\(327\) | −5801.35 | + | 2955.93i | −0.981086 | + | 0.499888i | ||||
\(328\) | −1330.21 | − | 2005.20i | −0.223929 | − | 0.337556i | ||||
\(329\) | −3359.67 | + | 4624.18i | −0.562992 | + | 0.774892i | ||||
\(330\) | 15972.2 | − | 1436.55i | 2.66436 | − | 0.239634i | ||||
\(331\) | −975.069 | − | 1342.07i | −0.161917 | − | 0.222860i | 0.720348 | − | 0.693613i | \(-0.243982\pi\) |
−0.882265 | + | 0.470753i | \(0.843982\pi\) | |||||||
\(332\) | 1939.96 | − | 1182.90i | 0.320690 | − | 0.195543i | ||||
\(333\) | −6342.78 | − | 1004.60i | −1.04379 | − | 0.165320i | ||||
\(334\) | −2451.68 | + | 3660.41i | −0.401646 | + | 0.599667i | ||||
\(335\) | −1057.08 | − | 1834.39i | −0.172401 | − | 0.299175i | ||||
\(336\) | −5464.54 | + | 5416.33i | −0.887247 | + | 0.879420i | ||||
\(337\) | 5691.27 | + | 2899.85i | 0.919950 | + | 0.468738i | 0.848792 | − | 0.528727i | \(-0.177330\pi\) |
0.0711582 | + | 0.997465i | \(0.477330\pi\) | |||||||
\(338\) | −1646.23 | + | 325.561i | −0.264921 | + | 0.0523910i | ||||
\(339\) | 2754.55 | − | 8477.63i | 0.441317 | − | 1.35824i | ||||
\(340\) | 4241.21 | + | 1516.41i | 0.676506 | + | 0.241879i | ||||
\(341\) | −4808.47 | − | 14799.0i | −0.763617 | − | 2.35017i | ||||
\(342\) | 2092.46 | + | 3746.08i | 0.330840 | + | 0.592295i | ||||
\(343\) | 4833.37 | − | 4833.37i | 0.760868 | − | 0.760868i | ||||
\(344\) | −3629.38 | + | 6430.51i | −0.568846 | + | 1.00788i | ||||
\(345\) | 320.672 | − | 1192.84i | 0.0500417 | − | 0.186146i | ||||
\(346\) | −10.1791 | − | 266.602i | −0.00158159 | − | 0.0414238i | ||||
\(347\) | −558.494 | − | 3526.19i | −0.0864021 | − | 0.545522i | −0.992480 | − | 0.122410i | \(-0.960938\pi\) |
0.906077 | − | 0.423112i | \(-0.139062\pi\) | |||||||
\(348\) | 13034.3 | − | 3098.74i | 2.00780 | − | 0.477328i | ||||
\(349\) | 3292.21i | 0.504951i | 0.967603 | + | 0.252476i | \(0.0812447\pi\) | ||||
−0.967603 | + | 0.252476i | \(0.918755\pi\) | |||||||
\(350\) | −817.848 | − | 5752.07i | −0.124902 | − | 0.878460i | ||||
\(351\) | 140.628i | 0.0213852i | ||||||||
\(352\) | −7713.80 | − | 9897.15i | −1.16803 | − | 1.49864i | ||||
\(353\) | 596.070 | + | 3763.44i | 0.0898742 | + | 0.567443i | 0.990998 | + | 0.133880i | \(0.0427438\pi\) |
−0.901123 | + | 0.433563i | \(0.857256\pi\) | |||||||
\(354\) | −11736.6 | + | 448.112i | −1.76212 | + | 0.0672793i | ||||
\(355\) | 775.399 | − | 39.9972i | 0.115926 | − | 0.00597981i | ||||
\(356\) | −2677.32 | − | 6504.34i | −0.398589 | − | 0.968340i | ||||
\(357\) | 4280.81 | − | 4280.81i | 0.634634 | − | 0.634634i | ||||
\(358\) | 109.872 | − | 61.3713i | 0.0162204 | − | 0.00906027i | ||||
\(359\) | 2803.99 | + | 8629.79i | 0.412225 | + | 1.26870i | 0.914709 | + | 0.404113i | \(0.132420\pi\) |
−0.502484 | + | 0.864587i | \(0.667580\pi\) | |||||||
\(360\) | −6399.01 | − | 2016.07i | −0.936826 | − | 0.295156i | ||||
\(361\) | −1108.35 | + | 3411.15i | −0.161591 | + | 0.497325i | ||||
\(362\) | 2521.51 | + | 12750.3i | 0.366099 | + | 1.85122i | ||||
\(363\) | 22646.0 | + | 11538.7i | 3.27440 | + | 1.66839i | ||||
\(364\) | −4482.71 | − | 2760.69i | −0.645489 | − | 0.397526i | ||||
\(365\) | −1071.78 | − | 478.244i | −0.153697 | − | 0.0685820i | ||||
\(366\) | 12175.2 | + | 8154.70i | 1.73881 | + | 1.16463i | ||||
\(367\) | −2003.50 | − | 317.324i | −0.284965 | − | 0.0451339i | 0.0123159 | − | 0.999924i | \(-0.496080\pi\) |
−0.297280 | + | 0.954790i | \(0.596080\pi\) | |||||||
\(368\) | −920.507 | + | 294.589i | −0.130393 | + | 0.0417296i | ||||
\(369\) | −1657.70 | − | 2281.63i | −0.233866 | − | 0.321889i | ||||
\(370\) | −7465.39 | − | 1704.40i | −1.04894 | − | 0.239480i | ||||
\(371\) | −2718.02 | + | 3741.03i | −0.380357 | + | 0.523516i | ||||
\(372\) | −1059.78 | + | 13094.8i | −0.147707 | + | 1.82510i | ||||
\(373\) | 8136.48 | − | 4145.75i | 1.12947 | − | 0.575492i | 0.213579 | − | 0.976926i | \(-0.431488\pi\) |
0.915888 | + | 0.401434i | \(0.131488\pi\) | |||||||
\(374\) | 6103.98 | + | 7760.53i | 0.843929 | + | 1.07296i | ||||
\(375\) | 8286.24 | − | 5989.11i | 1.14107 | − | 0.824737i | ||||
\(376\) | 3271.26 | + | 7158.37i | 0.448676 | + | 0.981821i | ||||
\(377\) | 4161.86 | + | 8168.11i | 0.568559 | + | 1.11586i | ||||
\(378\) | 110.926 | − | 119.733i | 0.0150937 | − | 0.0162921i | ||||
\(379\) | −1419.15 | − | 1031.07i | −0.192340 | − | 0.139743i | 0.487448 | − | 0.873152i | \(-0.337928\pi\) |
−0.679787 | + | 0.733409i | \(0.737928\pi\) | |||||||
\(380\) | 2188.66 | + | 4624.73i | 0.295463 | + | 0.624326i | ||||
\(381\) | −10697.0 | + | 7771.83i | −1.43838 | + | 1.04505i | ||||
\(382\) | −897.900 | + | 7514.99i | −0.120263 | + | 1.00655i | ||||
\(383\) | 438.531 | − | 2768.77i | 0.0585062 | − | 0.369394i | −0.941013 | − | 0.338372i | \(-0.890124\pi\) |
0.999519 | − | 0.0310218i | \(-0.00987614\pi\) | |||||||
\(384\) | 2796.58 | + | 10218.5i | 0.371647 | + | 1.35798i | ||||
\(385\) | 5189.67 | − | 11630.4i | 0.686988 | − | 1.53959i | ||||
\(386\) | −8861.44 | + | 3258.01i | −1.16849 | + | 0.429607i | ||||
\(387\) | −3928.97 | + | 7711.03i | −0.516074 | + | 1.01285i | ||||
\(388\) | 6570.48 | + | 5636.94i | 0.859705 | + | 0.737557i | ||||
\(389\) | 5907.56 | + | 1919.48i | 0.769987 | + | 0.250184i | 0.667559 | − | 0.744557i | \(-0.267339\pi\) |
0.102428 | + | 0.994740i | \(0.467339\pi\) | |||||||
\(390\) | 623.768 | − | 9243.42i | 0.0809890 | − | 1.20015i | ||||
\(391\) | 723.260 | − | 235.001i | 0.0935469 | − | 0.0303952i | ||||
\(392\) | −442.830 | − | 1590.37i | −0.0570569 | − | 0.204912i | ||||
\(393\) | 1104.78 | + | 1104.78i | 0.141803 | + | 0.141803i | ||||
\(394\) | 2822.54 | − | 9965.71i | 0.360907 | − | 1.27428i | ||||
\(395\) | 58.0646 | + | 1125.66i | 0.00739632 | + | 0.143387i | ||||
\(396\) | −9526.51 | − | 11204.3i | −1.20890 | − | 1.42181i | ||||
\(397\) | 569.479 | − | 90.1967i | 0.0719933 | − | 0.0114026i | −0.120334 | − | 0.992733i | \(-0.538397\pi\) |
0.192327 | + | 0.981331i | \(0.438397\pi\) | |||||||
\(398\) | −1770.66 | + | 3829.69i | −0.223002 | + | 0.482324i | ||||
\(399\) | 6877.01 | 0.862860 | ||||||||
\(400\) | −7451.09 | − | 2912.27i | −0.931386 | − | 0.364034i | ||||
\(401\) | 10408.7 | 1.29622 | 0.648110 | − | 0.761547i | \(-0.275560\pi\) | ||||
0.648110 | + | 0.761547i | \(0.275560\pi\) | |||||||
\(402\) | −1644.40 | + | 3556.61i | −0.204018 | + | 0.441262i | ||||
\(403\) | −8878.73 | + | 1406.25i | −1.09747 | + | 0.173822i | ||||
\(404\) | 5973.88 | + | 7025.98i | 0.735673 | + | 0.865236i | ||||
\(405\) | 8008.45 | + | 2152.92i | 0.982576 | + | 0.264147i | ||||
\(406\) | 2899.45 | − | 10237.3i | 0.354427 | − | 1.25140i | ||||
\(407\) | −11869.3 | − | 11869.3i | −1.44555 | − | 1.44555i | ||||
\(408\) | −2236.07 | − | 8030.56i | −0.271328 | − | 0.974441i | ||||
\(409\) | 1225.39 | − | 398.153i | 0.148146 | − | 0.0481354i | −0.234006 | − | 0.972235i | \(-0.575183\pi\) |
0.382151 | + | 0.924100i | \(0.375183\pi\) | |||||||
\(410\) | −1789.00 | − | 2847.56i | −0.215494 | − | 0.343003i | ||||
\(411\) | −12831.5 | − | 4169.21i | −1.53998 | − | 0.500369i | ||||
\(412\) | 4262.12 | + | 3656.55i | 0.509659 | + | 0.437246i | ||||
\(413\) | −4234.64 | + | 8310.94i | −0.504535 | + | 0.990205i | ||||
\(414\) | −1063.18 | + | 390.891i | −0.126214 | + | 0.0464040i | ||||
\(415\) | 2751.31 | − | 1585.45i | 0.325438 | − | 0.187535i | ||||
\(416\) | −6344.36 | + | 3507.00i | −0.747735 | + | 0.413329i | ||||
\(417\) | 1021.17 | − | 6447.41i | 0.119921 | − | 0.757148i | ||||
\(418\) | −1330.60 | + | 11136.5i | −0.155698 | + | 1.30312i | ||||
\(419\) | 9973.17 | − | 7245.93i | 1.16282 | − | 0.844838i | 0.172688 | − | 0.984977i | \(-0.444755\pi\) |
0.990132 | + | 0.140139i | \(0.0447549\pi\) | |||||||
\(420\) | −7822.19 | + | 7377.95i | −0.908771 | + | 0.857160i | ||||
\(421\) | −682.686 | − | 496.000i | −0.0790311 | − | 0.0574194i | 0.547568 | − | 0.836761i | \(-0.315554\pi\) |
−0.626599 | + | 0.779342i | \(0.715554\pi\) | |||||||
\(422\) | −553.197 | + | 597.117i | −0.0638133 | + | 0.0688796i | ||||
\(423\) | 4187.77 | + | 8218.95i | 0.481362 | + | 0.944726i | ||||
\(424\) | 2646.49 | + | 5791.22i | 0.303125 | + | 0.663317i | ||||
\(425\) | 5872.93 | + | 2265.50i | 0.670303 | + | 0.258571i | ||||
\(426\) | −888.374 | − | 1129.47i | −0.101037 | − | 0.128457i | ||||
\(427\) | 10369.1 | − | 5283.34i | 1.17517 | − | 0.598780i | ||||
\(428\) | 639.346 | − | 7899.89i | 0.0722055 | − | 0.892185i | ||||
\(429\) | 11936.9 | − | 16429.8i | 1.34340 | − | 1.84904i | ||||
\(430\) | −5293.39 | + | 8858.44i | −0.593651 | + | 0.993469i | ||||
\(431\) | 1289.85 | + | 1775.33i | 0.144153 | + | 0.198410i | 0.874988 | − | 0.484144i | \(-0.160869\pi\) |
−0.730835 | + | 0.682554i | \(0.760869\pi\) | |||||||
\(432\) | −68.5027 | − | 214.052i | −0.00762925 | − | 0.0238393i | ||||
\(433\) | −8409.89 | − | 1332.00i | −0.933380 | − | 0.147833i | −0.328820 | − | 0.944393i | \(-0.606651\pi\) |
−0.604560 | + | 0.796560i | \(0.706651\pi\) | |||||||
\(434\) | 8668.71 | + | 5806.15i | 0.958782 | + | 0.642175i | ||||
\(435\) | 18317.8 | − | 3877.81i | 2.01901 | − | 0.427418i | ||||
\(436\) | 6062.54 | + | 3733.63i | 0.665924 | + | 0.410111i | ||||
\(437\) | 769.711 | + | 392.188i | 0.0842570 | + | 0.0429311i | ||||
\(438\) | 421.399 | + | 2130.85i | 0.0459708 | + | 0.232456i | ||||
\(439\) | 2885.41 | − | 8880.39i | 0.313698 | − | 0.965462i | −0.662590 | − | 0.748983i | \(-0.730543\pi\) |
0.976287 | − | 0.216479i | \(-0.0694574\pi\) | |||||||
\(440\) | −10434.2 | − | 14094.6i | −1.13053 | − | 1.52713i | ||||
\(441\) | −597.906 | − | 1840.17i | −0.0645617 | − | 0.198700i | ||||
\(442\) | 4979.74 | − | 2781.55i | 0.535887 | − | 0.299332i | ||||
\(443\) | −2176.81 | + | 2176.81i | −0.233462 | + | 0.233462i | −0.814136 | − | 0.580674i | \(-0.802789\pi\) |
0.580674 | + | 0.814136i | \(0.302789\pi\) | |||||||
\(444\) | 5394.41 | + | 13105.3i | 0.576593 | + | 1.40079i | ||||
\(445\) | −3515.22 | − | 9180.03i | −0.374466 | − | 0.977922i | ||||
\(446\) | −5825.45 | + | 222.421i | −0.618483 | + | 0.0236142i | ||||
\(447\) | −1696.69 | − | 10712.5i | −0.179532 | − | 1.13352i | ||||
\(448\) | 8167.96 | + | 2018.46i | 0.861383 | + | 0.212864i | ||||
\(449\) | − | 13177.4i | − | 1.38504i | −0.721400 | − | 0.692518i | \(-0.756501\pi\) | ||
0.721400 | − | 0.692518i | \(-0.243499\pi\) | |||||||
\(450\) | −8870.30 | − | 3038.32i | −0.929223 | − | 0.318284i | ||||
\(451\) | − | 7371.74i | − | 0.769671i | ||||||
\(452\) | −9483.34 | + | 2254.54i | −0.986856 | + | 0.234612i | ||||
\(453\) | −1675.20 | − | 10576.8i | −0.173748 | − | 1.09700i | ||||
\(454\) | −315.784 | − | 8270.76i | −0.0326443 | − | 0.854991i | ||||
\(455\) | −6167.23 | − | 4012.27i | −0.635438 | − | 0.413402i | ||||
\(456\) | 4654.35 | − | 8246.54i | 0.477982 | − | 0.846885i | ||||
\(457\) | 627.423 | − | 627.423i | 0.0642223 | − | 0.0642223i | −0.674266 | − | 0.738488i | \(-0.735540\pi\) |
0.738488 | + | 0.674266i | \(0.235540\pi\) | |||||||
\(458\) | −2163.39 | − | 3873.07i | −0.220718 | − | 0.395145i | ||||
\(459\) | 54.6465 | + | 168.185i | 0.00555703 | + | 0.0171028i | ||||
\(460\) | −1296.26 | + | 379.689i | −0.131388 | + | 0.0384850i | ||||
\(461\) | −2842.14 | + | 8747.20i | −0.287140 | + | 0.883726i | 0.698609 | + | 0.715504i | \(0.253803\pi\) |
−0.985749 | + | 0.168222i | \(0.946197\pi\) | |||||||
\(462\) | −23122.9 | + | 4572.81i | −2.32852 | + | 0.460490i | ||||
\(463\) | 9886.75 | + | 5037.55i | 0.992389 | + | 0.505647i | 0.873272 | − | 0.487233i | \(-0.161994\pi\) |
0.119117 | + | 0.992880i | \(0.461994\pi\) | |||||||
\(464\) | −10313.6 | − | 10405.4i | −1.03189 | − | 1.04108i | ||||
\(465\) | −1934.21 | + | 18258.3i | −0.192896 | + | 1.82087i | ||||
\(466\) | 5631.72 | − | 8408.29i | 0.559838 | − | 0.835851i | ||||
\(467\) | −9899.03 | − | 1567.85i | −0.980883 | − | 0.155357i | −0.354656 | − | 0.934997i | \(-0.615402\pi\) |
−0.626228 | + | 0.779640i | \(0.715402\pi\) | |||||||
\(468\) | −7254.01 | + | 4423.19i | −0.716489 | + | 0.436885i | ||||
\(469\) | 1829.09 | + | 2517.52i | 0.180084 | + | 0.247864i | ||||
\(470\) | 4322.36 | + | 10114.4i | 0.424204 | + | 0.992640i | ||||
\(471\) | −11014.1 | + | 15159.6i | −1.07750 | + | 1.48306i | ||||
\(472\) | 7100.04 | + | 10702.8i | 0.692385 | + | 1.04372i | ||||
\(473\) | −20155.5 | + | 10269.8i | −1.95931 | + | 0.998317i | ||||
\(474\) | 1639.66 | − | 1289.66i | 0.158887 | − | 0.124971i | ||||
\(475\) | 2897.62 | + | 6537.09i | 0.279899 | + | 0.631457i | ||||
\(476\) | −6433.87 | − | 1559.72i | −0.619529 | − | 0.150188i | ||||
\(477\) | 3387.96 | + | 6649.25i | 0.325208 | + | 0.638256i | ||||
\(478\) | −10463.0 | − | 9693.37i | −1.00118 | − | 0.927540i | ||||
\(479\) | −9738.03 | − | 7075.09i | −0.928898 | − | 0.674884i | 0.0168250 | − | 0.999858i | \(-0.494644\pi\) |
−0.945723 | + | 0.324975i | \(0.894644\pi\) | |||||||
\(480\) | 3553.19 | + | 14373.3i | 0.337876 | + | 1.36677i | ||||
\(481\) | −7845.22 | + | 5699.88i | −0.743682 | + | 0.540317i | ||||
\(482\) | 18657.1 | + | 2229.16i | 1.76308 | + | 0.210655i | ||||
\(483\) | −284.005 | + | 1793.14i | −0.0267550 | + | 0.168925i | ||||
\(484\) | −2119.27 | − | 27712.6i | −0.199029 | − | 2.60261i | ||||
\(485\) | 8984.45 | + | 8103.03i | 0.841160 | + | 0.758638i | ||||
\(486\) | −5203.67 | − | 14153.4i | −0.485686 | − | 1.32101i | ||||
\(487\) | 2095.31 | − | 4112.27i | 0.194964 | − | 0.382638i | −0.772742 | − | 0.634720i | \(-0.781115\pi\) |
0.967706 | + | 0.252082i | \(0.0811154\pi\) | |||||||
\(488\) | 682.317 | − | 16009.9i | 0.0632932 | − | 1.48511i | ||||
\(489\) | −24738.6 | − | 8038.05i | −2.28777 | − | 0.743340i | ||||
\(490\) | −563.597 | − | 2237.26i | −0.0519606 | − | 0.206263i | ||||
\(491\) | −18094.3 | + | 5879.20i | −1.66311 | + | 0.540376i | −0.981520 | − | 0.191361i | \(-0.938710\pi\) |
−0.681587 | + | 0.731737i | \(0.738710\pi\) | |||||||
\(492\) | −2394.52 | + | 5744.85i | −0.219417 | + | 0.526418i | ||||
\(493\) | 8151.40 | + | 8151.40i | 0.744666 | + | 0.744666i | ||||
\(494\) | 6234.15 | + | 1765.67i | 0.567789 | + | 0.160812i | ||||
\(495\) | −12921.5 | − | 15983.6i | −1.17329 | − | 1.45133i | ||||
\(496\) | 12829.4 | − | 6465.46i | 1.16140 | − | 0.585298i | ||||
\(497\) | −1127.15 | + | 178.523i | −0.101730 | + | 0.0161124i | ||||
\(498\) | −5334.37 | − | 2466.35i | −0.479998 | − | 0.221927i | ||||
\(499\) | −13266.4 | −1.19015 | −0.595077 | − | 0.803669i | \(-0.702879\pi\) | ||||
−0.595077 | + | 0.803669i | \(0.702879\pi\) | |||||||
\(500\) | −10309.1 | − | 4326.86i | −0.922077 | − | 0.387006i | ||||
\(501\) | 11395.1 | 1.01616 | ||||||||
\(502\) | 11653.7 | + | 5388.10i | 1.03612 | + | 0.479049i | ||||
\(503\) | −7098.32 | + | 1124.26i | −0.629221 | + | 0.0996589i | −0.462897 | − | 0.886412i | \(-0.653190\pi\) |
−0.166325 | + | 0.986071i | \(0.553190\pi\) | |||||||
\(504\) | 9665.13 | + | 1955.92i | 0.854205 | + | 0.172865i | ||||
\(505\) | 8102.83 | + | 10023.0i | 0.714002 | + | 0.883204i | ||||
\(506\) | −2848.82 | − | 806.858i | −0.250288 | − | 0.0708878i | ||||
\(507\) | 3069.16 | + | 3069.16i | 0.268849 | + | 0.268849i | ||||
\(508\) | 13346.0 | + | 5562.78i | 1.16562 | + | 0.485843i | ||||
\(509\) | 14507.5 | − | 4713.79i | 1.26333 | − | 0.410481i | 0.400651 | − | 0.916231i | \(-0.368784\pi\) |
0.862680 | + | 0.505750i | \(0.168784\pi\) | |||||||
\(510\) | −2845.88 | − | 11297.0i | −0.247094 | − | 0.980866i | ||||
\(511\) | 1640.59 | + | 533.061i | 0.142027 | + | 0.0461473i | ||||
\(512\) | 7948.48 | − | 8428.49i | 0.686087 | − | 0.727519i | ||||
\(513\) | −91.1980 | + | 178.986i | −0.00784891 | + | 0.0154044i | ||||
\(514\) | 3184.16 | + | 8660.59i | 0.273244 | + | 0.743195i | ||||
\(515\) | 5828.00 | + | 5256.25i | 0.498665 | + | 0.449743i | ||||
\(516\) | 19043.2 | − | 1456.29i | 1.62467 | − | 0.124244i | ||||
\(517\) | −3771.81 | + | 23814.3i | −0.320859 | + | 2.02582i | ||||
\(518\) | 11175.5 | + | 1335.26i | 0.947924 | + | 0.113259i | ||||
\(519\) | −558.278 | + | 405.613i | −0.0472171 | + | 0.0343053i | ||||
\(520\) | −8985.26 | + | 4679.92i | −0.757750 | + | 0.394669i | ||||
\(521\) | −5924.30 | − | 4304.25i | −0.498173 | − | 0.361944i | 0.310146 | − | 0.950689i | \(-0.399622\pi\) |
−0.808319 | + | 0.588745i | \(0.799622\pi\) | |||||||
\(522\) | −12596.2 | − | 11669.7i | −1.05617 | − | 0.978485i | ||||
\(523\) | 153.207 | + | 300.685i | 0.0128093 | + | 0.0251396i | 0.897322 | − | 0.441376i | \(-0.145509\pi\) |
−0.884513 | + | 0.466515i | \(0.845509\pi\) | |||||||
\(524\) | 402.527 | − | 1660.43i | 0.0335582 | − | 0.138428i | ||||
\(525\) | −11184.0 | + | 10036.9i | −0.929737 | + | 0.834373i | ||||
\(526\) | −8941.43 | + | 7032.81i | −0.741188 | + | 0.582975i | ||||
\(527\) | −10072.1 | + | 5131.97i | −0.832535 | + | 0.424198i | ||||
\(528\) | −10166.1 | + | 30822.6i | −0.837919 | + | 2.54050i | ||||
\(529\) | 7017.54 | − | 9658.81i | 0.576768 | − | 0.793853i | ||||
\(530\) | 3496.85 | + | 8182.66i | 0.286592 | + | 0.670626i | ||||
\(531\) | 8848.02 | + | 12178.3i | 0.723110 | + | 0.995276i | ||||
\(532\) | −3915.10 | − | 6420.75i | −0.319062 | − | 0.523261i | ||||
\(533\) | −4206.26 | − | 666.206i | −0.341826 | − | 0.0541399i | ||||
\(534\) | −10124.2 | + | 15115.7i | −0.820445 | + | 1.22494i | ||||
\(535\) | 1166.87 | − | 11014.9i | 0.0942961 | − | 0.890122i | ||||
\(536\) | 4256.80 | − | 489.488i | 0.343033 | − | 0.0394453i | ||||
\(537\) | −290.033 | − | 147.779i | −0.0233070 | − | 0.0118755i | ||||
\(538\) | 6894.24 | − | 1363.41i | 0.552476 | − | 0.109258i | ||||
\(539\) | 1562.84 | − | 4809.93i | 0.124891 | − | 0.384375i | ||||
\(540\) | −88.2917 | − | 301.427i | −0.00703605 | − | 0.0240210i | ||||
\(541\) | −2286.41 | − | 7036.83i | −0.181701 | − | 0.559218i | 0.818175 | − | 0.574969i | \(-0.194986\pi\) |
−0.999876 | + | 0.0157511i | \(0.994986\pi\) | |||||||
\(542\) | 3979.06 | + | 7123.61i | 0.315341 | + | 0.564549i | ||||
\(543\) | 23771.1 | − | 23771.1i | 1.87866 | − | 1.87866i | ||||
\(544\) | −6224.76 | + | 6659.53i | −0.490596 | + | 0.524862i | ||||
\(545\) | 8340.73 | + | 5426.30i | 0.655555 | + | 0.426490i | ||||
\(546\) | 519.527 | + | 13607.0i | 0.0407211 | + | 1.06653i | ||||
\(547\) | 1169.88 | + | 7386.32i | 0.0914449 | + | 0.577361i | 0.990282 | + | 0.139077i | \(0.0444135\pi\) |
−0.898837 | + | 0.438284i | \(0.855587\pi\) | |||||||
\(548\) | 3412.41 | + | 14353.7i | 0.266005 | + | 1.11891i | ||||
\(549\) | − | 18781.1i | − | 1.46003i | ||||||
\(550\) | −14089.6 | − | 20053.2i | −1.09233 | − | 1.55468i | ||||
\(551\) | 13095.0i | 1.01246i | ||||||||
\(552\) | 1958.02 | + | 1554.15i | 0.150976 | + | 0.119836i | ||||
\(553\) | −259.165 | − | 1636.30i | −0.0199291 | − | 0.125827i | ||||
\(554\) | 10683.9 | − | 407.920i | 0.819341 | − | 0.0312831i | ||||
\(555\) | 7082.66 | + | 18496.4i | 0.541698 | + | 1.41465i | ||||
\(556\) | −6601.00 | + | 2717.11i | −0.503498 | + | 0.207250i | ||||
\(557\) | −2228.66 | + | 2228.66i | −0.169536 | + | 0.169536i | −0.786775 | − | 0.617240i | \(-0.788251\pi\) |
0.617240 | + | 0.786775i | \(0.288251\pi\) | |||||||
\(558\) | 14700.1 | − | 8211.08i | 1.11524 | − | 0.622944i | ||||
\(559\) | 4038.33 | + | 12428.7i | 0.305551 | + | 0.940390i | ||||
\(560\) | 11341.6 | + | 3102.93i | 0.855843 | + | 0.234148i | ||||
\(561\) | 7891.56 | − | 24287.7i | 0.593907 | − | 1.82786i | ||||
\(562\) | 457.118 | + | 2311.47i | 0.0343103 | + | 0.173493i | ||||
\(563\) | −4737.11 | − | 2413.68i | −0.354610 | − | 0.180683i | 0.267606 | − | 0.963528i | \(-0.413767\pi\) |
−0.622216 | + | 0.782846i | \(0.713767\pi\) | |||||||
\(564\) | 10674.8 | − | 17333.5i | 0.796972 | − | 1.29410i | ||||
\(565\) | −13327.4 | + | 2821.37i | −0.992368 | + | 0.210081i | ||||
\(566\) | 2833.12 | + | 1897.57i | 0.210397 | + | 0.140920i | ||||
\(567\) | −12038.7 | − | 1906.75i | −0.891674 | − | 0.141227i | ||||
\(568\) | −548.778 | + | 1472.44i | −0.0405391 | + | 0.108772i | ||||
\(569\) | 7249.40 | + | 9977.94i | 0.534114 | + | 0.735144i | 0.987750 | − | 0.156042i | \(-0.0498736\pi\) |
−0.453637 | + | 0.891187i | \(0.649874\pi\) | |||||||
\(570\) | 6788.29 | − | 11360.1i | 0.498825 | − | 0.834778i | ||||
\(571\) | 11959.9 | − | 16461.4i | 0.876544 | − | 1.20646i | −0.100822 | − | 0.994905i | \(-0.532147\pi\) |
0.977366 | − | 0.211555i | \(-0.0678529\pi\) | |||||||
\(572\) | −22135.5 | − | 1791.45i | −1.61806 | − | 0.130951i | ||||
\(573\) | 17442.2 | − | 8887.23i | 1.27165 | − | 0.647940i | ||||
\(574\) | 3055.77 | + | 3885.07i | 0.222205 | + | 0.282508i | ||||
\(575\) | −1824.17 | + | 485.569i | −0.132301 | + | 0.0352167i | ||||
\(576\) | 8886.78 | − | 10266.1i | 0.642851 | − | 0.742631i | ||||
\(577\) | −10624.1 | − | 20850.9i | −0.766528 | − | 1.50440i | −0.860853 | − | 0.508854i | \(-0.830069\pi\) |
0.0943251 | − | 0.995541i | \(-0.469931\pi\) | |||||||
\(578\) | −4569.31 | + | 4932.09i | −0.328821 | + | 0.354927i | ||||
\(579\) | 19756.3 | + | 14353.8i | 1.41804 | + | 1.03027i | ||||
\(580\) | −14048.9 | − | 14894.8i | −1.00577 | − | 1.06633i | ||||
\(581\) | −3775.90 | + | 2743.36i | −0.269623 | + | 0.195893i | ||||
\(582\) | 2656.50 | − | 22233.6i | 0.189202 | − | 1.58353i | ||||
\(583\) | −3051.45 | + | 19266.1i | −0.216772 | + | 1.36864i | ||||
\(584\) | 1749.57 | − | 1606.54i | 0.123969 | − | 0.113834i | ||||
\(585\) | −10287.9 | + | 5928.43i | −0.727097 | + | 0.418992i | ||||
\(586\) | −5023.21 | + | 1846.84i | −0.354107 | + | 0.130192i | ||||
\(587\) | 4569.50 | − | 8968.15i | 0.321301 | − | 0.630588i | −0.672706 | − | 0.739910i | \(-0.734868\pi\) |
0.994006 | + | 0.109322i | \(0.0348680\pi\) | |||||||
\(588\) | −2780.31 | + | 3240.76i | −0.194997 | + | 0.227290i | ||||
\(589\) | −12212.4 | − | 3968.07i | −0.854338 | − | 0.277591i | ||||
\(590\) | 9548.83 | + | 15198.9i | 0.666304 | + | 1.06056i | ||||
\(591\) | −25479.0 | + | 8278.64i | −1.77338 | + | 0.576206i | ||||
\(592\) | 9164.76 | − | 12497.4i | 0.636266 | − | 0.867634i | ||||
\(593\) | −11178.9 | − | 11178.9i | −0.774136 | − | 0.774136i | 0.204691 | − | 0.978827i | \(-0.434381\pi\) |
−0.978827 | + | 0.204691i | \(0.934381\pi\) | |||||||
\(594\) | 187.624 | − | 662.455i | 0.0129601 | − | 0.0457590i | ||||
\(595\) | −8934.82 | − | 2401.96i | −0.615616 | − | 0.165497i | ||||
\(596\) | −9035.81 | + | 7682.76i | −0.621009 | + | 0.528017i | ||||
\(597\) | 10778.6 | − | 1707.17i | 0.738928 | − | 0.117035i | ||||
\(598\) | −717.843 | + | 1552.60i | −0.0490883 | + | 0.106171i | ||||
\(599\) | 9107.29 | 0.621225 | 0.310613 | − | 0.950537i | \(-0.399466\pi\) | ||||
0.310613 | + | 0.950537i | \(0.399466\pi\) | |||||||
\(600\) | 4466.35 | + | 20204.2i | 0.303897 | + | 1.37472i | ||||
\(601\) | 6422.39 | 0.435898 | 0.217949 | − | 0.975960i | \(-0.430063\pi\) | ||||
0.217949 | + | 0.975960i | \(0.430063\pi\) | |||||||
\(602\) | 6365.34 | − | 13767.4i | 0.430950 | − | 0.932086i | ||||
\(603\) | 4960.14 | − | 785.609i | 0.334979 | − | 0.0530555i | ||||
\(604\) | −8921.39 | + | 7585.47i | −0.601004 | + | 0.511008i | ||||
\(605\) | −2000.95 | − | 38791.0i | −0.134463 | − | 2.60674i | ||||
\(606\) | 6500.26 | − | 22950.9i | 0.435734 | − | 1.53847i | ||||
\(607\) | 8349.48 | + | 8349.48i | 0.558311 | + | 0.558311i | 0.928826 | − | 0.370515i | \(-0.120819\pi\) |
−0.370515 | + | 0.928826i | \(0.620819\pi\) | |||||||
\(608\) | −10349.1 | + | 349.228i | −0.690318 | + | 0.0232945i | ||||
\(609\) | −26173.3 | + | 8504.23i | −1.74154 | + | 0.565860i | ||||
\(610\) | 1507.82 | − | 22344.0i | 0.100082 | − | 1.48308i | ||||
\(611\) | 13247.4 | + | 4304.33i | 0.877138 | + | 0.284999i | ||||
\(612\) | −6956.64 | + | 8108.73i | −0.459486 | + | 0.535582i | ||||
\(613\) | −9010.32 | + | 17683.8i | −0.593676 | + | 1.16515i | 0.377325 | + | 0.926081i | \(0.376844\pi\) |
−0.971001 | + | 0.239074i | \(0.923156\pi\) | |||||||
\(614\) | −21159.0 | + | 7779.35i | −1.39073 | + | 0.511318i | ||||
\(615\) | −3544.40 | + | 7943.26i | −0.232397 | + | 0.520818i | ||||
\(616\) | 17433.4 | + | 18985.5i | 1.14028 | + | 1.24180i | ||||
\(617\) | 3820.67 | − | 24122.8i | 0.249294 | − | 1.57398i | −0.472156 | − | 0.881515i | \(-0.656524\pi\) |
0.721450 | − | 0.692466i | \(-0.243476\pi\) | |||||||
\(618\) | 1723.21 | − | 14422.4i | 0.112164 | − | 0.938762i | ||||
\(619\) | −24148.4 | + | 17544.8i | −1.56802 | + | 1.13924i | −0.639005 | + | 0.769202i | \(0.720654\pi\) |
−0.929018 | + | 0.370033i | \(0.879346\pi\) | |||||||
\(620\) | 18148.0 | − | 8588.60i | 1.17555 | − | 0.556333i | ||||
\(621\) | −42.9032 | − | 31.1710i | −0.00277238 | − | 0.00201425i | ||||
\(622\) | −10912.9 | + | 11779.3i | −0.703484 | + | 0.759336i | ||||
\(623\) | 6559.37 | + | 12873.5i | 0.421823 | + | 0.827874i | ||||
\(624\) | 16668.4 | + | 8586.21i | 1.06934 | + | 0.550839i | ||||
\(625\) | −14253.2 | − | 6402.20i | −0.912202 | − | 0.409741i | ||||
\(626\) | 868.743 | + | 1104.51i | 0.0554664 | + | 0.0705193i | ||||
\(627\) | 25847.6 | − | 13170.0i | 1.64634 | − | 0.838851i | ||||
\(628\) | 20424.2 | + | 1652.96i | 1.29780 | + | 0.105032i | ||||
\(629\) | −7167.58 | + | 9865.33i | −0.454356 | + | 0.625368i | ||||
\(630\) | 13435.5 | + | 3067.43i | 0.849658 | + | 0.193983i | ||||
\(631\) | 15717.2 | + | 21632.8i | 0.991585 | + | 1.36480i | 0.930349 | + | 0.366676i | \(0.119504\pi\) |
0.0612360 | + | 0.998123i | \(0.480496\pi\) | |||||||
\(632\) | −2137.56 | − | 796.669i | −0.134538 | − | 0.0501421i | ||||
\(633\) | 2079.46 | + | 329.354i | 0.130571 | + | 0.0206803i | ||||
\(634\) | 807.173 | + | 540.630i | 0.0505630 | + | 0.0338662i | ||||
\(635\) | 18453.2 | + | 8234.11i | 1.15322 | + | 0.514584i | ||||
\(636\) | 8636.10 | − | 14023.0i | 0.538433 | − | 0.874290i | ||||
\(637\) | −2603.27 | − | 1326.43i | −0.161924 | − | 0.0825042i | ||||
\(638\) | −8707.43 | − | 44030.0i | −0.540330 | − | 2.73223i | ||||
\(639\) | −569.118 | + | 1751.57i | −0.0352331 | + | 0.108436i | ||||
\(640\) | 11396.9 | − | 11500.2i | 0.703908 | − | 0.710291i | ||||
\(641\) | 8483.60 | + | 26109.8i | 0.522749 | + | 1.60886i | 0.768725 | + | 0.639580i | \(0.220892\pi\) |
−0.245976 | + | 0.969276i | \(0.579108\pi\) | |||||||
\(642\) | −17897.2 | + | 9996.86i | −1.10022 | + | 0.614556i | ||||
\(643\) | −21758.4 | + | 21758.4i | −1.33447 | + | 1.33447i | −0.433152 | + | 0.901321i | \(0.642599\pi\) |
−0.901321 | + | 0.433152i | \(0.857401\pi\) | |||||||
\(644\) | 1835.85 | − | 755.675i | 0.112334 | − | 0.0462388i | ||||
\(645\) | 26656.0 | − | 1374.99i | 1.62725 | − | 0.0839382i | ||||
\(646\) | 8141.85 | − | 310.862i | 0.495877 | − | 0.0189330i | ||||
\(647\) | 1629.80 | + | 10290.2i | 0.0990326 | + | 0.625267i | 0.986420 | + | 0.164243i | \(0.0525180\pi\) |
−0.887387 | + | 0.461025i | \(0.847482\pi\) | |||||||
\(648\) | −10434.3 | + | 13145.7i | −0.632556 | + | 0.796933i | ||||
\(649\) | 39346.8i | 2.37981i | ||||||||
\(650\) | −12715.5 | + | 6227.15i | −0.767299 | + | 0.375767i | ||||
\(651\) | − | 26986.3i | − | 1.62469i | ||||||
\(652\) | 6578.98 | + | 27673.4i | 0.395173 | + | 1.66223i | ||||
\(653\) | 2118.36 | + | 13374.8i | 0.126949 | + | 0.801527i | 0.966202 | + | 0.257785i | \(0.0829928\pi\) |
−0.839253 | + | 0.543741i | \(0.817007\pi\) | |||||||
\(654\) | −702.622 | − | 18402.5i | −0.0420103 | − | 1.10030i | ||||
\(655\) | 619.890 | − | 2305.87i | 0.0369788 | − | 0.137554i | ||||
\(656\) | 6726.90 | − | 1034.91i | 0.400368 | − | 0.0615950i | ||||
\(657\) | 1968.51 | − | 1968.51i | 0.116893 | − | 0.116893i | ||||
\(658\) | −7883.78 | − | 14114.2i | −0.467085 | − | 0.836211i | ||||
\(659\) | −7564.17 | − | 23280.1i | −0.447130 | − | 1.37612i | −0.880131 | − | 0.474730i | \(-0.842546\pi\) |
0.433002 | − | 0.901393i | \(-0.357454\pi\) | |||||||
\(660\) | −15270.8 | + | 42710.5i | −0.900628 | + | 2.51895i | ||||
\(661\) | 1216.76 | − | 3744.81i | 0.0715985 | − | 0.220358i | −0.908854 | − | 0.417115i | \(-0.863041\pi\) |
0.980452 | + | 0.196758i | \(0.0630412\pi\) | |||||||
\(662\) | 4602.89 | − | 910.274i | 0.270236 | − | 0.0534423i | ||||
\(663\) | −13145.2 | − | 6697.82i | −0.770012 | − | 0.392341i | ||||
\(664\) | 734.158 | + | 6384.56i | 0.0429079 | + | 0.373146i | ||||
\(665\) | −5247.44 | − | 9106.12i | −0.305995 | − | 0.531008i | ||||
\(666\) | 10107.9 | − | 15091.4i | 0.588100 | − | 0.878047i | ||||
\(667\) | −3414.44 | − | 540.795i | −0.198212 | − | 0.0313938i | ||||
\(668\) | −6487.26 | − | 10639.1i | −0.375748 | − | 0.616225i | ||||
\(669\) | 8862.94 | + | 12198.8i | 0.512199 | + | 0.704981i | ||||
\(670\) | 5964.19 | − | 536.424i | 0.343906 | − | 0.0309311i | ||||
\(671\) | 28855.0 | − | 39715.5i | 1.66011 | − | 2.28495i | ||||
\(672\) | −7419.00 | − | 20458.3i | −0.425884 | − | 1.17440i | ||||
\(673\) | 20312.0 | − | 10349.5i | 1.16340 | − | 0.592783i | 0.237813 | − | 0.971311i | \(-0.423570\pi\) |
0.925590 | + | 0.378528i | \(0.123570\pi\) | |||||||
\(674\) | −14200.3 | + | 11169.1i | −0.811535 | + | 0.638306i | ||||
\(675\) | −112.913 | − | 424.186i | −0.00643853 | − | 0.0241881i | ||||
\(676\) | 1118.25 | − | 4612.82i | 0.0636238 | − | 0.262450i | ||||
\(677\) | −4933.13 | − | 9681.82i | −0.280053 | − | 0.549634i | 0.707540 | − | 0.706674i | \(-0.249805\pi\) |
−0.987592 | + | 0.157039i | \(0.949805\pi\) | |||||||
\(678\) | 18495.0 | + | 17134.7i | 1.04764 | + | 0.970579i | ||||
\(679\) | −14386.6 | − | 10452.5i | −0.813117 | − | 0.590764i | ||||
\(680\) | −8927.36 | + | 9088.51i | −0.503454 | + | 0.512542i | ||||
\(681\) | −17319.4 | + | 12583.3i | −0.974567 | + | 0.708064i | ||||
\(682\) | 43701.0 | + | 5221.45i | 2.45366 | + | 0.293167i | ||||
\(683\) | 1252.87 | − | 7910.33i | 0.0701901 | − | 0.443163i | −0.927417 | − | 0.374028i | \(-0.877976\pi\) |
0.997607 | − | 0.0691345i | \(-0.0220237\pi\) | |||||||
\(684\) | −12101.1 | + | 925.406i | −0.676456 | + | 0.0517307i | ||||
\(685\) | 4270.34 | + | 20172.0i | 0.238192 | + | 1.12516i | ||||
\(686\) | 6671.56 | + | 18145.9i | 0.371314 | + | 1.00993i | ||||
\(687\) | −5209.34 | + | 10223.9i | −0.289299 | + | 0.567782i | ||||
\(688\) | −12201.0 | − | 16950.7i | −0.676104 | − | 0.939301i | ||||
\(689\) | 10717.3 | + | 3482.27i | 0.592594 | + | 0.192545i | ||||
\(690\) | 2681.74 | + | 2239.15i | 0.147960 | + | 0.123541i | ||||
\(691\) | −4142.51 | + | 1345.98i | −0.228058 | + | 0.0741007i | −0.420817 | − | 0.907146i | \(-0.638257\pi\) |
0.192759 | + | 0.981246i | \(0.438257\pi\) | |||||||
\(692\) | 696.531 | + | 290.322i | 0.0382632 | + | 0.0159485i | ||||
\(693\) | 21361.3 | + | 21361.3i | 1.17092 | + | 1.17092i | ||||
\(694\) | 9715.74 | + | 2751.74i | 0.531419 | + | 0.150511i | ||||
\(695\) | −9316.46 | + | 3567.46i | −0.508480 | + | 0.194707i | ||||
\(696\) | −7516.24 | + | 37141.3i | −0.409343 | + | 2.02275i | ||||
\(697\) | −5289.35 | + | 837.751i | −0.287444 | + | 0.0455267i | ||||
\(698\) | −8452.10 | − | 3907.83i | −0.458334 | − | 0.211911i | ||||
\(699\) | −26175.6 | −1.41638 | ||||||||
\(700\) | 15738.1 | + | 4728.00i | 0.849777 | + | 0.255288i | ||||
\(701\) | −19123.5 | −1.03036 | −0.515181 | − | 0.857081i | \(-0.672275\pi\) | ||||
−0.515181 | + | 0.857081i | \(0.672275\pi\) | |||||||
\(702\) | −361.036 | − | 166.925i | −0.0194109 | − | 0.00897461i | ||||
\(703\) | −13681.5 | + | 2166.93i | −0.734006 | + | 0.116255i | ||||
\(704\) | 34565.2 | − | 8055.81i | 1.85046 | − | 0.431271i | ||||
\(705\) | 15514.4 | − | 23847.0i | 0.828801 | − | 1.27395i | ||||
\(706\) | −10369.4 | − | 2936.88i | −0.552773 | − | 0.156559i | ||||
\(707\) | −13395.3 | − | 13395.3i | −0.712561 | − | 0.712561i | ||||
\(708\) | 12780.8 | − | 30663.2i | 0.678434 | − | 1.62768i | ||||
\(709\) | 23488.0 | − | 7631.70i | 1.24416 | − | 0.404252i | 0.388335 | − | 0.921518i | \(-0.373050\pi\) |
0.855824 | + | 0.517266i | \(0.173050\pi\) | |||||||
\(710\) | −817.708 | + | 2038.16i | −0.0432226 | + | 0.107734i | ||||
\(711\) | −2542.77 | − | 826.197i | −0.134123 | − | 0.0435792i | ||||
\(712\) | 19876.6 | + | 847.110i | 1.04622 | + | 0.0445882i | ||||
\(713\) | 1538.99 | − | 3020.45i | 0.0808356 | − | 0.158649i | ||||
\(714\) | 5908.85 | + | 16071.4i | 0.309710 | + | 0.842378i | ||||
\(715\) | −30863.7 | − | 3269.58i | −1.61432 | − | 0.171014i | ||||
\(716\) | 27.1419 | + | 354.921i | 0.00141668 | + | 0.0185252i | ||||
\(717\) | −5771.09 | + | 36437.2i | −0.300593 | + | 1.89787i | ||||
\(718\) | −25483.6 | − | 3044.81i | −1.32457 | − | 0.158261i | ||||
\(719\) | 967.403 | − | 702.859i | 0.0501781 | − | 0.0364565i | −0.562414 | − | 0.826856i | \(-0.690127\pi\) |
0.612592 | + | 0.790400i | \(0.290127\pi\) | |||||||
\(720\) | 12771.4 | − | 14035.1i | 0.661060 | − | 0.726470i | ||||
\(721\) | −9332.24 | − | 6780.27i | −0.482040 | − | 0.350223i | ||||
\(722\) | −7441.86 | − | 6894.49i | −0.383598 | − | 0.355383i | ||||
\(723\) | −22063.8 | − | 43302.7i | −1.13494 | − | 2.22745i | ||||
\(724\) | −35726.9 | − | 8661.02i | −1.83395 | − | 0.444592i | ||||
\(725\) | −19112.0 | − | 21296.4i | −0.979035 | − | 1.09093i | ||||
\(726\) | −56504.0 | + | 44442.8i | −2.88851 | + | 2.27194i | ||||
\(727\) | 32438.5 | − | 16528.2i | 1.65485 | − | 0.843189i | 0.659006 | − | 0.752138i | \(-0.270977\pi\) |
0.995846 | − | 0.0910518i | \(-0.0290229\pi\) | |||||||
\(728\) | 12408.5 | − | 8231.57i | 0.631715 | − | 0.419069i | ||||
\(729\) | −11154.4 | + | 15352.7i | −0.566703 | + | 0.780000i | ||||
\(730\) | 2499.99 | − | 2183.91i | 0.126752 | − | 0.110726i | ||||
\(731\) | 9659.28 | + | 13294.9i | 0.488730 | + | 0.672679i | ||||
\(732\) | −35387.4 | + | 21577.8i | −1.78683 | + | 1.08953i | ||||
\(733\) | 5735.36 | + | 908.392i | 0.289005 | + | 0.0457739i | 0.299254 | − | 0.954174i | \(-0.403262\pi\) |
−0.0102488 | + | 0.999947i | \(0.503262\pi\) | |||||||
\(734\) | 3192.81 | − | 4766.94i | 0.160557 | − | 0.239715i | ||||
\(735\) | −3996.66 | + | 4431.41i | −0.200570 | + | 0.222388i | ||||
\(736\) | 336.337 | − | 2712.90i | 0.0168445 | − | 0.135868i | ||||
\(737\) | 11696.0 | + | 5959.40i | 0.584569 | + | 0.297853i | ||||
\(738\) | 7825.33 | − | 1547.55i | 0.390318 | − | 0.0771897i | ||||
\(739\) | −4050.25 | + | 12465.4i | −0.201611 | + | 0.620496i | 0.798224 | + | 0.602360i | \(0.205773\pi\) |
−0.999836 | + | 0.0181355i | \(0.994227\pi\) | |||||||
\(740\) | 13237.1 | − | 17142.8i | 0.657574 | − | 0.851598i | ||||
\(741\) | −5178.79 | − | 15938.7i | −0.256744 | − | 0.790178i | ||||
\(742\) | −6378.09 | − | 11418.6i | −0.315562 | − | 0.564944i | ||||
\(743\) | 17314.9 | − | 17314.9i | 0.854944 | − | 0.854944i | −0.135793 | − | 0.990737i | \(-0.543358\pi\) |
0.990737 | + | 0.135793i | \(0.0433583\pi\) | |||||||
\(744\) | −32360.5 | − | 18264.3i | −1.59461 | − | 0.900000i | ||||
\(745\) | −12890.2 | + | 10420.7i | −0.633905 | + | 0.512463i | ||||
\(746\) | 985.439 | + | 25809.8i | 0.0483639 | + | 1.26671i | ||||
\(747\) | 1178.29 | + | 7439.46i | 0.0577129 | + | 0.364385i | ||||
\(748\) | −27169.0 | + | 6459.08i | −1.32807 | + | 0.315732i | ||||
\(749\) | 16280.3i | 0.794220i | ||||||||
\(750\) | 5540.16 | + | 28382.3i | 0.269731 | + | 1.38183i | ||||
\(751\) | 2900.20i | 0.140918i | 0.997515 | + | 0.0704592i | \(0.0224465\pi\) | ||||
−0.997515 | + | 0.0704592i | \(0.977554\pi\) | |||||||
\(752\) | −22260.7 | − | 98.6260i | −1.07947 | − | 0.00478261i | ||||
\(753\) | −5194.91 | − | 32799.4i | −0.251412 | − | 1.58735i | ||||
\(754\) | −25910.1 | + | 989.269i | −1.25145 | + | 0.0477812i | ||||
\(755\) | −12726.9 | + | 10288.7i | −0.613485 | + | 0.495955i | ||||
\(756\) | 175.722 | + | 426.903i | 0.00845365 | + | 0.0205375i | ||||
\(757\) | 8951.58 | − | 8951.58i | 0.429790 | − | 0.429790i | −0.458767 | − | 0.888557i | \(-0.651709\pi\) |
0.888557 | + | 0.458767i | \(0.151709\pi\) | |||||||
\(758\) | 4331.59 | − | 2419.51i | 0.207560 | − | 0.115937i | ||||
\(759\) | 2366.55 | + | 7283.49i | 0.113176 | + | 0.348319i | ||||
\(760\) | −14471.0 | + | 129.438i | −0.690683 | + | 0.00617789i | ||||
\(761\) | 6848.37 | − | 21077.1i | 0.326220 | − | 1.00400i | −0.644667 | − | 0.764463i | \(-0.723004\pi\) |
0.970887 | − | 0.239538i | \(-0.0769959\pi\) | |||||||
\(762\) | −7255.38 | − | 36687.6i | −0.344927 | − | 1.74416i | ||||
\(763\) | −13031.2 | − | 6639.75i | −0.618300 | − | 0.315040i | ||||
\(764\) | −18227.5 | − | 11225.4i | −0.863150 | − | 0.531573i | ||||
\(765\) | −10000.1 | + | 11087.9i | −0.472619 | + | 0.524029i | ||||
\(766\) | 6587.75 | + | 4412.36i | 0.310738 | + | 0.208127i | ||||
\(767\) | 22451.0 | + | 3555.89i | 1.05692 | + | 0.167400i | ||||
\(768\) | −29553.6 | − | 4949.66i | −1.38857 | − | 0.232559i | ||||
\(769\) | −6487.63 | − | 8929.46i | −0.304226 | − | 0.418731i | 0.629344 | − | 0.777127i | \(-0.283324\pi\) |
−0.933570 | + | 0.358396i | \(0.883324\pi\) | |||||||
\(770\) | 23698.8 | + | 27128.7i | 1.10915 | + | 1.26968i | ||||
\(771\) | 14028.5 | − | 19308.5i | 0.655283 | − | 0.901919i | ||||
\(772\) | 2154.16 | − | 26617.2i | 0.100427 | − | 1.24090i | ||||
\(773\) | −4476.25 | + | 2280.76i | −0.208279 | + | 0.106123i | −0.555018 | − | 0.831838i | \(-0.687289\pi\) |
0.346740 | + | 0.937961i | \(0.387289\pi\) | |||||||
\(774\) | −15132.9 | − | 19239.8i | −0.702766 | − | 0.893488i | ||||
\(775\) | 25652.4 | − | 11370.6i | 1.18898 | − | 0.527026i | ||||
\(776\) | −22270.8 | + | 10177.4i | −1.03025 | + | 0.470809i | ||||
\(777\) | −13216.2 | − | 25938.2i | −0.610203 | − | 1.19759i | ||||
\(778\) | −11940.1 | + | 12888.1i | −0.550224 | + | 0.593907i | ||||
\(779\) | −4921.52 | − | 3575.69i | −0.226357 | − | 0.164458i | ||||
\(780\) | 22990.2 | + | 12573.3i | 1.05536 | + | 0.577173i | ||||
\(781\) | −3894.57 | + | 2829.57i | −0.178436 | + | 0.129642i | ||||
\(782\) | −255.184 | + | 2135.77i | −0.0116693 | + | 0.0976664i | ||||
\(783\) | 125.755 | − | 793.983i | 0.00573959 | − | 0.0362384i | ||||
\(784\) | 4608.59 | + | 750.874i | 0.209939 | + | 0.0342053i | ||||
\(785\) | 28477.7 | + | 3016.82i | 1.29479 | + | 0.137165i | ||||
\(786\) | −4147.67 | + | 1524.94i | −0.188222 | + | 0.0692020i | ||||
\(787\) | −2535.21 | + | 4975.64i | −0.114829 | + | 0.225365i | −0.941267 | − | 0.337663i | \(-0.890364\pi\) |
0.826438 | + | 0.563028i | \(0.190364\pi\) | |||||||
\(788\) | 22234.7 | + | 19075.5i | 1.00517 | + | 0.862358i | ||||
\(789\) | 27983.5 | + | 9092.40i | 1.26266 | + | 0.410264i | ||||
\(790\) | −2958.83 | − | 1187.08i | −0.133254 | − | 0.0534612i | ||||
\(791\) | 19042.8 | − | 6187.39i | 0.855986 | − | 0.278127i | ||||
\(792\) | 40072.7 | − | 11158.0i | 1.79788 | − | 0.500611i | ||||
\(793\) | −20053.6 | − | 20053.6i | −0.898014 | − | 0.898014i | ||||
\(794\) | −444.406 | + | 1569.09i | −0.0198632 | + | 0.0701321i | ||||
\(795\) | 12551.3 | − | 19292.6i | 0.559937 | − | 0.860676i | ||||
\(796\) | −7730.21 | − | 9091.62i | −0.344209 | − | 0.404829i | ||||
\(797\) | 26980.3 | − | 4273.26i | 1.19911 | − | 0.189920i | 0.475239 | − | 0.879856i | \(-0.342361\pi\) |
0.723870 | + | 0.689936i | \(0.242361\pi\) | |||||||
\(798\) | −8162.96 | + | 17655.4i | −0.362112 | + | 0.783200i | ||||
\(799\) | 17515.8 | 0.775550 | ||||||||
\(800\) | 16321.1 | − | 15672.4i | 0.721296 | − | 0.692627i | ||||
\(801\) | 23317.1 | 1.02855 | ||||||||
\(802\) | −12355.0 | + | 26722.2i | −0.543979 | + | 1.17655i | ||||
\(803\) | 7187.12 | − | 1138.33i | 0.315850 | − | 0.0500258i | ||||
\(804\) | −7179.01 | − | 8443.34i | −0.314905 | − | 0.370365i | ||||
\(805\) | 2591.07 | − | 992.174i | 0.113445 | − | 0.0434404i | ||||
\(806\) | 6928.71 | − | 24463.6i | 0.302796 | − | 1.06910i | ||||
\(807\) | −12853.3 | − | 12853.3i | −0.560667 | − | 0.560667i | ||||
\(808\) | −25128.8 | + | 6996.99i | −1.09409 | + | 0.304645i | ||||
\(809\) | 15808.8 | − | 5136.59i | 0.687030 | − | 0.223230i | 0.0553594 | − | 0.998466i | \(-0.482370\pi\) |
0.631671 | + | 0.775237i | \(0.282370\pi\) | |||||||
\(810\) | −15033.2 | + | 18004.6i | −0.652114 | + | 0.781010i | ||||
\(811\) | 17209.7 | + | 5591.79i | 0.745149 | + | 0.242114i | 0.656893 | − | 0.753984i | \(-0.271870\pi\) |
0.0882565 | + | 0.996098i | \(0.471870\pi\) | |||||||
\(812\) | 22840.5 | + | 19595.3i | 0.987126 | + | 0.846874i | ||||
\(813\) | 9581.37 | − | 18804.5i | 0.413325 | − | 0.811196i | ||||
\(814\) | 44561.0 | − | 16383.4i | 1.91875 | − | 0.705450i | ||||
\(815\) | 8233.03 | + | 38890.7i | 0.353854 | + | 1.67151i | ||||
\(816\) | 23271.1 | + | 3791.54i | 0.998346 | + | 0.162660i | ||||
\(817\) | −2920.23 | + | 18437.6i | −0.125050 | + | 0.789536i | ||||
\(818\) | −432.348 | + | 3618.55i | −0.0184801 | + | 0.154669i | ||||
\(819\) | 14119.1 | − | 10258.1i | 0.602395 | − | 0.437666i | ||||
\(820\) | 9434.09 | − | 1212.88i | 0.401772 | − | 0.0516530i | ||||
\(821\) | 34052.0 | + | 24740.2i | 1.44753 | + | 1.05169i | 0.986400 | + | 0.164362i | \(0.0525566\pi\) |
0.461132 | + | 0.887332i | \(0.347443\pi\) | |||||||
\(822\) | 25934.5 | − | 27993.5i | 1.10045 | − | 1.18782i | ||||
\(823\) | −9370.08 | − | 18389.8i | −0.396866 | − | 0.778892i | 0.602956 | − | 0.797774i | \(-0.293989\pi\) |
−0.999822 | + | 0.0188818i | \(0.993989\pi\) | |||||||
\(824\) | −14446.6 | + | 6601.85i | −0.610765 | + | 0.279109i | ||||
\(825\) | −22814.4 | + | 59142.5i | −0.962783 | + | 2.49585i | ||||
\(826\) | −16310.2 | − | 20736.6i | −0.687052 | − | 0.873510i | ||||
\(827\) | −30518.4 | + | 15549.9i | −1.28323 | + | 0.653836i | −0.956624 | − | 0.291326i | \(-0.905904\pi\) |
−0.326602 | + | 0.945162i | \(0.605904\pi\) | |||||||
\(828\) | 258.453 | − | 3193.49i | 0.0108477 | − | 0.134036i | ||||
\(829\) | 3094.43 | − | 4259.12i | 0.129643 | − | 0.178438i | −0.739261 | − | 0.673419i | \(-0.764825\pi\) |
0.868904 | + | 0.494981i | \(0.164825\pi\) | |||||||
\(830\) | 804.554 | + | 8945.38i | 0.0336464 | + | 0.374095i | ||||
\(831\) | −16254.6 | − | 22372.6i | −0.678540 | − | 0.933931i | ||||
\(832\) | −1472.82 | − | 20450.7i | −0.0613713 | − | 0.852163i | ||||
\(833\) | −3628.81 | − | 574.748i | −0.150938 | − | 0.0239062i | ||||
\(834\) | 15340.3 | + | 10274.7i | 0.636921 | + | 0.426598i | ||||
\(835\) | −8694.92 | − | 15088.7i | −0.360359 | − | 0.625348i | ||||
\(836\) | −27011.4 | − | 16635.0i | −1.11747 | − | 0.688198i | ||||
\(837\) | 702.365 | + | 357.873i | 0.0290051 | + | 0.0147788i | ||||
\(838\) | 6764.43 | + | 34205.0i | 0.278846 | + | 1.41002i | ||||
\(839\) | −1439.44 | + | 4430.14i | −0.0592312 | + | 0.182295i | −0.976294 | − | 0.216447i | \(-0.930553\pi\) |
0.917063 | + | 0.398742i | \(0.130553\pi\) | |||||||
\(840\) | −9656.55 | − | 28839.5i | −0.396646 | − | 1.18459i | ||||
\(841\) | −8656.90 | − | 26643.2i | −0.354951 | − | 1.09243i | ||||
\(842\) | 2083.73 | − | 1163.91i | 0.0852850 | − | 0.0476379i | ||||
\(843\) | 4309.39 | − | 4309.39i | 0.176066 | − | 0.176066i | ||||
\(844\) | −876.340 | − | 2129.00i | −0.0357403 | − | 0.0868284i | ||||
\(845\) | 1722.10 | − | 6405.89i | 0.0701091 | − | 0.260792i | ||||
\(846\) | −26071.4 | + | 995.427i | −1.05952 | + | 0.0404533i | ||||
\(847\) | 8931.00 | + | 56388.1i | 0.362306 | + | 2.28751i | ||||
\(848\) | −18009.2 | − | 79.7898i | −0.729290 | − | 0.00323112i | ||||
\(849\) | − | 8819.68i | − | 0.356526i | ||||||
\(850\) | −12787.3 | + | 12388.5i | −0.516003 | + | 0.499906i | ||||
\(851\) | − | 3656.85i | − | 0.147303i | ||||||
\(852\) | 3954.18 | − | 940.055i | 0.159000 | − | 0.0378002i | ||||
\(853\) | 614.798 | + | 3881.68i | 0.0246779 | + | 0.155810i | 0.996950 | − | 0.0780419i | \(-0.0248668\pi\) |
−0.972272 | + | 0.233852i | \(0.924867\pi\) | |||||||
\(854\) | 1255.84 | + | 32892.0i | 0.0503210 | + | 1.31797i | ||||
\(855\) | −16938.6 | + | 873.741i | −0.677530 | + | 0.0349489i | ||||
\(856\) | 19522.5 | + | 11018.5i | 0.779516 | + | 0.439959i | ||||
\(857\) | −13421.5 | + | 13421.5i | −0.534969 | + | 0.534969i | −0.922047 | − | 0.387078i | \(-0.873484\pi\) |
0.387078 | + | 0.922047i | \(0.373484\pi\) | |||||||
\(858\) | 28011.2 | + | 50147.8i | 1.11455 | + | 1.99536i | ||||
\(859\) | 2941.95 | + | 9054.40i | 0.116855 | + | 0.359641i | 0.992329 | − | 0.123622i | \(-0.0394512\pi\) |
−0.875475 | + | 0.483264i | \(0.839451\pi\) | |||||||
\(860\) | −16459.1 | − | 24104.6i | −0.652616 | − | 0.955769i | ||||
\(861\) | 3950.67 | − | 12158.9i | 0.156374 | − | 0.481271i | ||||
\(862\) | −6088.87 | + | 1204.14i | −0.240589 | + | 0.0475791i | ||||
\(863\) | 17931.3 | + | 9136.46i | 0.707287 | + | 0.360381i | 0.770343 | − | 0.637629i | \(-0.220085\pi\) |
−0.0630563 | + | 0.998010i | \(0.520085\pi\) | |||||||
\(864\) | 630.848 | + | 78.2108i | 0.0248401 | + | 0.00307961i | ||||
\(865\) | 963.077 | + | 429.739i | 0.0378562 | + | 0.0168920i | ||||
\(866\) | 13402.1 | − | 20009.7i | 0.525892 | − | 0.785169i | ||||
\(867\) | 17176.0 | + | 2720.41i | 0.672811 | + | 0.106563i | ||||
\(868\) | −25195.8 | + | 15363.4i | −0.985256 | + | 0.600768i | ||||
\(869\) | −4107.73 | − | 5653.80i | −0.160351 | − | 0.220704i | ||||
\(870\) | −11787.5 | + | 51630.2i | −0.459351 | + | 2.01199i | ||||
\(871\) | 4457.39 | − | 6135.07i | 0.173402 | − | 0.238667i | ||||
\(872\) | −16781.6 | + | 11132.6i | −0.651715 | + | 0.432336i | ||||
\(873\) | −25570.5 | + | 13028.8i | −0.991329 | + | 0.505107i | ||||
\(874\) | −1920.51 | + | 1510.56i | −0.0743273 | + | 0.0584616i | ||||
\(875\) | 21824.1 | + | 7150.69i | 0.843188 | + | 0.276271i | ||||
\(876\) | −5970.73 | − | 1447.44i | −0.230288 | − | 0.0558270i | ||||
\(877\) | −5694.21 | − | 11175.5i | −0.219247 | − | 0.430297i | 0.755017 | − | 0.655705i | \(-0.227628\pi\) |
−0.974264 | + | 0.225408i | \(0.927628\pi\) | |||||||
\(878\) | 19373.7 | + | 17948.7i | 0.744682 | + | 0.689908i | ||||
\(879\) | 11199.1 | + | 8136.63i | 0.429734 | + | 0.312220i | ||||
\(880\) | 48570.6 | − | 10057.6i | 1.86058 | − | 0.385275i | ||||
\(881\) | −10169.4 | + | 7388.49i | −0.388893 | + | 0.282548i | −0.765002 | − | 0.644028i | \(-0.777262\pi\) |
0.376108 | + | 0.926576i | \(0.377262\pi\) | |||||||
\(882\) | 5433.97 | + | 649.257i | 0.207451 | + | 0.0247864i | ||||
\(883\) | −924.104 | + | 5834.57i | −0.0352192 | + | 0.222366i | −0.999020 | − | 0.0442574i | \(-0.985908\pi\) |
0.963801 | + | 0.266623i | \(0.0859078\pi\) | |||||||
\(884\) | 1230.16 | + | 16086.2i | 0.0468040 | + | 0.612032i | ||||
\(885\) | 18918.3 | − | 42397.3i | 0.718567 | − | 1.61036i | ||||
\(886\) | −3004.68 | − | 8172.41i | −0.113933 | − | 0.309884i | ||||
\(887\) | 10567.4 | − | 20739.7i | 0.400022 | − | 0.785087i | −0.599866 | − | 0.800101i | \(-0.704779\pi\) |
0.999887 | + | 0.0150140i | \(0.00477928\pi\) | |||||||
\(888\) | −40048.4 | − | 1706.80i | −1.51344 | − | 0.0645007i | ||||
\(889\) | −28246.7 | − | 9177.92i | −1.06565 | − | 0.346251i | ||||
\(890\) | 27740.5 | + | 1871.99i | 1.04479 | + | 0.0705049i | ||||
\(891\) | −48899.8 | + | 15888.5i | −1.83861 | + | 0.597402i | ||||
\(892\) | 6343.75 | − | 15219.7i | 0.238122 | − | 0.571294i | ||||
\(893\) | 14069.3 | + | 14069.3i | 0.527226 | + | 0.527226i | ||||
\(894\) | 29516.1 | + | 8359.71i | 1.10421 | + | 0.312741i | ||||
\(895\) | 25.6266 | + | 496.805i | 0.000957099 | + | 0.0185546i | ||||
\(896\) | −14877.3 | + | 18573.7i | −0.554705 | + | 0.692528i | ||||
\(897\) | 4369.78 | − | 692.105i | 0.162656 | − | 0.0257622i | ||||
\(898\) | 33830.5 | + | 15641.5i | 1.25717 | + | 0.581252i | ||||
\(899\) | 51386.5 | 1.90638 | ||||||||
\(900\) | 18329.3 | − | 19166.3i | 0.678862 | − | 0.709863i | ||||
\(901\) | 14170.5 | 0.523961 | ||||||||
\(902\) | 18925.5 | + | 8750.20i | 0.698614 | + | 0.323004i | ||||
\(903\) | −38748.2 | + | 6137.11i | −1.42797 | + | 0.226169i | ||||
\(904\) | 5468.57 | − | 27022.7i | 0.201197 | − | 0.994207i | ||||
\(905\) | −49614.5 | − | 13337.9i | −1.82237 | − | 0.489909i | ||||
\(906\) | 29142.4 | + | 8253.86i | 1.06864 | + | 0.302667i | ||||
\(907\) | 15075.8 | + | 15075.8i | 0.551912 | + | 0.551912i | 0.926992 | − | 0.375080i | \(-0.122385\pi\) |
−0.375080 | + | 0.926992i | \(0.622385\pi\) | |||||||
\(908\) | 21608.4 | + | 9006.62i | 0.789757 | + | 0.329180i | ||||
\(909\) | −29075.7 | + | 9447.28i | −1.06093 | + | 0.344716i | ||||
\(910\) | 17621.2 | − | 11070.6i | 0.641908 | − | 0.403283i | ||||
\(911\) | −4767.83 | − | 1549.16i | −0.173398 | − | 0.0563403i | 0.221032 | − | 0.975267i | \(-0.429058\pi\) |
−0.394429 | + | 0.918926i | \(0.629058\pi\) | |||||||
\(912\) | 15646.7 | + | 21737.7i | 0.568107 | + | 0.789262i | ||||
\(913\) | −8938.20 | + | 17542.2i | −0.323999 | + | 0.635884i | ||||
\(914\) | 866.038 | + | 2355.53i | 0.0313414 | + | 0.0852451i | ||||
\(915\) | −50187.6 | + | 28920.8i | −1.81328 | + | 1.04491i | ||||
\(916\) | 12511.3 | − | 956.776i | 0.451293 | − | 0.0345118i | ||||
\(917\) | −549.009 | + | 3466.31i | −0.0197709 | + | 0.124828i | ||||
\(918\) | −496.646 | − | 59.3398i | −0.0178559 | − | 0.00213345i | ||||
\(919\) | 14773.0 | − | 10733.2i | 0.530269 | − | 0.385263i | −0.290189 | − | 0.956969i | \(-0.593718\pi\) |
0.820459 | + | 0.571706i | \(0.193718\pi\) | |||||||
\(920\) | 563.870 | − | 3778.57i | 0.0202068 | − | 0.135409i | ||||
\(921\) | 47173.4 | + | 34273.5i | 1.68775 | + | 1.22622i | ||||
\(922\) | −19083.1 | − | 17679.5i | −0.681637 | − | 0.631500i | ||||
\(923\) | 1262.57 | + | 2477.93i | 0.0450249 | + | 0.0883663i | ||||
\(924\) | 15706.9 | − | 64791.4i | 0.559221 | − | 2.30680i | ||||
\(925\) | 19087.5 | − | 23492.0i | 0.678479 | − | 0.835039i | ||||
\(926\) | −24668.4 | + | 19402.7i | −0.875437 | + | 0.688568i | ||||
\(927\) | −16587.0 | + | 8451.49i | −0.587689 | + | 0.299443i | ||||
\(928\) | 38956.1 | − | 14127.1i | 1.37801 | − | 0.499723i | ||||
\(929\) | −9507.97 | + | 13086.6i | −0.335787 | + | 0.462172i | −0.943205 | − | 0.332211i | \(-0.892205\pi\) |
0.607418 | + | 0.794383i | \(0.292205\pi\) | |||||||
\(930\) | −44578.6 | − | 26638.1i | −1.57182 | − | 0.939246i | ||||
\(931\) | −2453.14 | − | 3376.46i | −0.0863571 | − | 0.118860i | ||||
\(932\) | 14901.8 | + | 24438.9i | 0.523739 | + | 0.858930i | ||||
\(933\) | 41021.4 | + | 6497.16i | 1.43942 | + | 0.227982i | ||||
\(934\) | 15775.2 | − | 23552.8i | 0.552657 | − | 0.825129i | ||||
\(935\) | −38181.9 | + | 8082.99i | −1.33549 | + | 0.282719i | ||||
\(936\) | −2745.21 | − | 23873.5i | −0.0958655 | − | 0.833687i | ||||
\(937\) | −20637.7 | − | 10515.4i | −0.719534 | − | 0.366621i | 0.0555699 | − | 0.998455i | \(-0.482302\pi\) |
−0.775104 | + | 0.631834i | \(0.782302\pi\) | |||||||
\(938\) | −8634.36 | + | 1707.54i | −0.300556 | + | 0.0594384i | ||||
\(939\) | 1123.16 | − | 3456.73i | 0.0390340 | − | 0.120134i | ||||
\(940\) | −31097.2 | − | 908.855i | −1.07902 | − | 0.0315357i | ||||
\(941\) | 11795.7 | + | 36303.5i | 0.408639 | + | 1.25766i | 0.917818 | + | 0.397001i | \(0.129949\pi\) |
−0.509180 | + | 0.860660i | \(0.670051\pi\) | |||||||
\(942\) | −25845.7 | − | 46271.0i | −0.893948 | − | 1.60042i | ||||
\(943\) | 1135.59 | − | 1135.59i | 0.0392151 | − | 0.0392151i | ||||
\(944\) | −35905.0 | + | 5523.83i | −1.23793 | + | 0.190451i | ||||
\(945\) | 230.717 | + | 602.519i | 0.00794203 | + | 0.0207407i | ||||
\(946\) | −2441.11 | − | 63935.5i | −0.0838978 | − | 2.19738i | ||||
\(947\) | −6734.36 | − | 42519.1i | −0.231085 | − | 1.45901i | −0.781387 | − | 0.624047i | \(-0.785487\pi\) |
0.550302 | − | 0.834966i | \(-0.314513\pi\) | |||||||
\(948\) | 1364.69 | + | 5740.34i | 0.0467543 | + | 0.196664i | ||||
\(949\) | − | 4203.79i | − | 0.143794i | ||||||
\(950\) | −20222.1 | − | 320.407i | −0.690624 | − | 0.0109425i | ||||
\(951\) | − | 2512.78i | − | 0.0856809i | ||||||
\(952\) | 11641.2 | − | 14666.3i | 0.396317 | − | 0.499305i | ||||
\(953\) | −3264.45 | − | 20610.9i | −0.110961 | − | 0.700580i | −0.978966 | − | 0.204024i | \(-0.934598\pi\) |
0.868005 | − | 0.496556i | \(-0.165402\pi\) | |||||||
\(954\) | −21092.1 | + | 805.315i | −0.715810 | + | 0.0273302i | ||||
\(955\) | −25077.0 | − | 16314.6i | −0.849710 | − | 0.552803i | ||||
\(956\) | 37305.3 | − | 15355.6i | 1.26207 | − | 0.519494i | ||||
\(957\) | −82087.6 | + | 82087.6i | −2.77274 | + | 2.77274i | ||||
\(958\) | 29722.9 | − | 16602.4i | 1.00240 | − | 0.559916i | ||||
\(959\) | −9365.06 | − | 28822.7i | −0.315343 | − | 0.970525i | ||||
\(960\) | −41118.3 | − | 7938.92i | −1.38238 | − | 0.266904i | ||||
\(961\) | −6365.27 | + | 19590.3i | −0.213664 | + | 0.657591i | ||||
\(962\) | −5321.12 | − | 26906.8i | −0.178336 | − | 0.901777i | ||||
\(963\) | 23410.1 | + | 11928.0i | 0.783363 | + | 0.399143i | ||||
\(964\) | −27868.7 | + | 45252.3i | −0.931111 | + | 1.51191i | ||||
\(965\) | 3931.57 | − | 37112.7i | 0.131152 | − | 1.23803i | ||||
\(966\) | −4266.42 | − | 2857.57i | −0.142101 | − | 0.0951767i | ||||
\(967\) | −25909.2 | − | 4103.61i | −0.861617 | − | 0.136467i | −0.290039 | − | 0.957015i | \(-0.593668\pi\) |
−0.571578 | + | 0.820548i | \(0.693668\pi\) | |||||||
\(968\) | 73662.1 | + | 27453.8i | 2.44586 | + | 0.911569i | ||||
\(969\) | −12387.1 | − | 17049.4i | −0.410663 | − | 0.565229i | ||||
\(970\) | −31467.4 | + | 13447.6i | −1.04161 | + | 0.445129i | ||||
\(971\) | −18145.6 | + | 24975.3i | −0.599711 | + | 0.825432i | −0.995682 | − | 0.0928313i | \(-0.970408\pi\) |
0.395970 | + | 0.918263i | \(0.370408\pi\) | |||||||
\(972\) | 42512.9 | + | 3440.61i | 1.40288 | + | 0.113537i | ||||
\(973\) | 13064.8 | − | 6656.85i | 0.430461 | − | 0.219331i | ||||
\(974\) | 8070.33 | + | 10260.5i | 0.265493 | + | 0.337544i | ||||
\(975\) | 31684.5 | + | 18362.6i | 1.04073 | + | 0.603153i | ||||
\(976\) | 40292.3 | + | 20755.3i | 1.32144 | + | 0.680698i | ||||
\(977\) | −13162.6 | − | 25833.1i | −0.431022 | − | 0.845929i | −0.999726 | − | 0.0233870i | \(-0.992555\pi\) |
0.568704 | − | 0.822542i | \(-0.307445\pi\) | |||||||
\(978\) | 50000.6 | − | 53970.3i | 1.63481 | − | 1.76460i | ||||
\(979\) | 49307.5 | + | 35824.0i | 1.60968 | + | 1.16950i | ||||
\(980\) | 6412.71 | + | 1208.69i | 0.209027 | + | 0.0393981i | ||||
\(981\) | −19095.1 | + | 13873.4i | −0.621466 | + | 0.451522i | ||||
\(982\) | 6384.14 | − | 53432.2i | 0.207460 | − | 1.73634i | ||||
\(983\) | −9191.31 | + | 58031.7i | −0.298227 | + | 1.88293i | 0.149499 | + | 0.988762i | \(0.452234\pi\) |
−0.447726 | + | 0.894171i | \(0.647766\pi\) | |||||||
\(984\) | −11906.5 | − | 12966.5i | −0.385737 | − | 0.420080i | ||||
\(985\) | 30403.6 | + | 27420.9i | 0.983492 | + | 0.887006i | ||||
\(986\) | −30602.8 | + | 11251.5i | −0.988429 | + | 0.363407i | ||||
\(987\) | −18983.8 | + | 37257.7i | −0.612219 | + | 1.20155i | ||||
\(988\) | −11932.9 | + | 13909.1i | −0.384247 | + | 0.447883i | ||||
\(989\) | −4686.89 | − | 1522.86i | −0.150692 | − | 0.0489628i | ||||
\(990\) | 56372.5 | − | 14201.0i | 1.80973 | − | 0.455897i | ||||
\(991\) | −8302.54 | + | 2697.66i | −0.266134 | + | 0.0864723i | −0.439044 | − | 0.898465i | \(-0.644683\pi\) |
0.172910 | + | 0.984938i | \(0.444683\pi\) | |||||||
\(992\) | 1370.42 | + | 40611.4i | 0.0438616 | + | 1.29981i | ||||
\(993\) | −8581.43 | − | 8581.43i | −0.274243 | − | 0.274243i | ||||
\(994\) | 879.597 | − | 3105.64i | 0.0280675 | − | 0.0990997i | ||||
\(995\) | −10485.1 | − | 12969.8i | −0.334069 | − | 0.413236i | ||||
\(996\) | 12663.7 | − | 10767.4i | 0.402877 | − | 0.342549i | ||||
\(997\) | −8382.23 | + | 1327.62i | −0.266267 | + | 0.0421725i | −0.288140 | − | 0.957588i | \(-0.593037\pi\) |
0.0218734 | + | 0.999761i | \(0.493037\pi\) | |||||||
\(998\) | 15747.2 | − | 34059.0i | 0.499467 | − | 1.08028i | ||||
\(999\) | 850.351 | 0.0269308 |
(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 | 100.4.l.b.3.17 | ✓ | 336 | |
4.3 | odd | 2 | inner | 100.4.l.b.3.39 | yes | 336 | |
25.17 | odd | 20 | inner | 100.4.l.b.67.39 | yes | 336 | |
100.67 | even | 20 | inner | 100.4.l.b.67.17 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
100.4.l.b.3.17 | ✓ | 336 | 1.1 | even | 1 | trivial | |
100.4.l.b.3.39 | yes | 336 | 4.3 | odd | 2 | inner | |
100.4.l.b.67.17 | yes | 336 | 100.67 | even | 20 | inner | |
100.4.l.b.67.39 | yes | 336 | 25.17 | odd | 20 | inner |