Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(37,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 193.7 | ||
Character | \(\chi\) | \(=\) | 210.193 |
Dual form | 210.3.v.b.37.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.67303 | − | 0.448288i | 0.557678 | − | 0.149429i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 3.25594 | + | 3.79459i | 0.651187 | + | 0.758917i | ||||
\(6\) | 2.44949 | 0.408248 | ||||||||
\(7\) | −2.26902 | + | 6.62205i | −0.324145 | + | 0.946007i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | 3.05878 | + | 6.37526i | 0.305878 | + | 0.637526i | ||||
\(11\) | −1.33229 | + | 2.30759i | −0.121117 | + | 0.209781i | −0.920208 | − | 0.391429i | \(-0.871981\pi\) |
0.799092 | + | 0.601209i | \(0.205314\pi\) | |||||||
\(12\) | 3.34607 | + | 0.896575i | 0.278839 | + | 0.0747146i | ||||
\(13\) | −9.16064 | − | 9.16064i | −0.704664 | − | 0.704664i | 0.260744 | − | 0.965408i | \(-0.416032\pi\) |
−0.965408 | + | 0.260744i | \(0.916032\pi\) | |||||||
\(14\) | −5.52338 | + | 8.21537i | −0.394527 | + | 0.586812i | ||||
\(15\) | 7.14835 | + | 4.88887i | 0.476557 | + | 0.325925i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.724383 | + | 2.70344i | 0.0426108 | + | 0.159026i | 0.983953 | − | 0.178428i | \(-0.0571011\pi\) |
−0.941342 | + | 0.337453i | \(0.890434\pi\) | |||||||
\(18\) | 4.09808 | − | 1.09808i | 0.227671 | − | 0.0610042i | ||||
\(19\) | 16.5863 | − | 9.57608i | 0.872961 | − | 0.504004i | 0.00462986 | − | 0.999989i | \(-0.498526\pi\) |
0.868331 | + | 0.495985i | \(0.165193\pi\) | |||||||
\(20\) | 1.84486 | + | 9.82835i | 0.0922430 | + | 0.491418i | ||||
\(21\) | −0.827557 | + | 12.0961i | −0.0394075 | + | 0.576004i | ||||
\(22\) | −2.66457 | + | 2.66457i | −0.121117 | + | 0.121117i | ||||
\(23\) | 9.36480 | − | 34.9499i | 0.407165 | − | 1.51956i | −0.392862 | − | 0.919597i | \(-0.628515\pi\) |
0.800027 | − | 0.599964i | \(-0.204818\pi\) | |||||||
\(24\) | 4.24264 | + | 2.44949i | 0.176777 | + | 0.102062i | ||||
\(25\) | −3.79777 | + | 24.7099i | −0.151911 | + | 0.988394i | ||||
\(26\) | −9.16064 | − | 15.8667i | −0.352332 | − | 0.610257i | ||||
\(27\) | 3.67423 | − | 3.67423i | 0.136083 | − | 0.136083i | ||||
\(28\) | −10.5521 | + | 9.20071i | −0.376861 | + | 0.328597i | ||||
\(29\) | − | 12.4700i | − | 0.429999i | −0.976614 | − | 0.215000i | \(-0.931025\pi\) | ||
0.976614 | − | 0.215000i | \(-0.0689750\pi\) | |||||||
\(30\) | 7.97538 | + | 9.29480i | 0.265846 | + | 0.309827i | ||||
\(31\) | 5.33782 | − | 9.24538i | 0.172188 | − | 0.298238i | −0.766997 | − | 0.641651i | \(-0.778250\pi\) |
0.939184 | + | 0.343413i | \(0.111583\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −1.19449 | + | 4.45791i | −0.0361968 | + | 0.135088i | ||||
\(34\) | 3.95810i | 0.116415i | ||||||||
\(35\) | −32.5157 | + | 12.9510i | −0.929021 | + | 0.370028i | ||||
\(36\) | 6.00000 | 0.166667 | ||||||||
\(37\) | 21.9577 | + | 5.88355i | 0.593452 | + | 0.159015i | 0.543030 | − | 0.839713i | \(-0.317277\pi\) |
0.0504215 | + | 0.998728i | \(0.483944\pi\) | |||||||
\(38\) | 26.1623 | − | 7.01018i | 0.688483 | − | 0.184478i | ||||
\(39\) | −19.4326 | − | 11.2194i | −0.498273 | − | 0.287678i | ||||
\(40\) | −1.07730 | + | 14.1010i | −0.0269325 | + | 0.352526i | ||||
\(41\) | −1.17994 | −0.0287791 | −0.0143895 | − | 0.999896i | \(-0.504580\pi\) | ||||
−0.0143895 | + | 0.999896i | \(0.504580\pi\) | |||||||
\(42\) | −5.55794 | + | 16.2206i | −0.132332 | + | 0.386206i | ||||
\(43\) | 2.70577 | + | 2.70577i | 0.0629250 | + | 0.0629250i | 0.737869 | − | 0.674944i | \(-0.235832\pi\) |
−0.674944 | + | 0.737869i | \(0.735832\pi\) | |||||||
\(44\) | −4.61517 | + | 2.66457i | −0.104890 | + | 0.0605584i | ||||
\(45\) | 14.1510 | + | 4.97472i | 0.314468 | + | 0.110549i | ||||
\(46\) | 25.5851 | − | 44.3147i | 0.556198 | − | 0.963363i | ||||
\(47\) | −71.7245 | − | 19.2185i | −1.52605 | − | 0.408905i | −0.604324 | − | 0.796739i | \(-0.706557\pi\) |
−0.921729 | + | 0.387834i | \(0.873223\pi\) | |||||||
\(48\) | 4.89898 | + | 4.89898i | 0.102062 | + | 0.102062i | ||||
\(49\) | −38.7031 | − | 30.0511i | −0.789859 | − | 0.613288i | ||||
\(50\) | −14.2323 | + | 32.3642i | −0.284646 | + | 0.647284i | ||||
\(51\) | 2.42383 | + | 4.19820i | 0.0475262 | + | 0.0823177i | ||||
\(52\) | −6.70605 | − | 25.0273i | −0.128963 | − | 0.481295i | ||||
\(53\) | 7.83581 | − | 2.09960i | 0.147845 | − | 0.0396151i | −0.184137 | − | 0.982901i | \(-0.558949\pi\) |
0.331983 | + | 0.943285i | \(0.392282\pi\) | |||||||
\(54\) | 6.36396 | − | 3.67423i | 0.117851 | − | 0.0680414i | ||||
\(55\) | −13.0942 | + | 2.45788i | −0.238076 | + | 0.0446887i | ||||
\(56\) | −17.7821 | + | 8.70607i | −0.317538 | + | 0.155465i | ||||
\(57\) | 23.4565 | − | 23.4565i | 0.411518 | − | 0.411518i | ||||
\(58\) | 4.56433 | − | 17.0343i | 0.0786953 | − | 0.293695i | ||||
\(59\) | −93.6121 | − | 54.0470i | −1.58665 | − | 0.916050i | −0.993855 | − | 0.110694i | \(-0.964693\pi\) |
−0.592791 | − | 0.805356i | \(-0.701974\pi\) | |||||||
\(60\) | 7.49244 | + | 15.6161i | 0.124874 | + | 0.260269i | ||||
\(61\) | 35.0235 | + | 60.6625i | 0.574156 | + | 0.994467i | 0.996133 | + | 0.0878604i | \(0.0280029\pi\) |
−0.421977 | + | 0.906606i | \(0.638664\pi\) | |||||||
\(62\) | 10.6756 | − | 10.6756i | 0.172188 | − | 0.172188i | ||||
\(63\) | 4.03799 | + | 20.6081i | 0.0640951 | + | 0.327113i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 4.93438 | − | 64.5873i | 0.0759136 | − | 0.993650i | ||||
\(66\) | −3.26342 | + | 5.65241i | −0.0494457 | + | 0.0856425i | ||||
\(67\) | 4.51996 | + | 16.8687i | 0.0674620 | + | 0.251772i | 0.991419 | − | 0.130726i | \(-0.0417307\pi\) |
−0.923957 | + | 0.382497i | \(0.875064\pi\) | |||||||
\(68\) | −1.44877 | + | 5.40687i | −0.0213054 | + | 0.0795128i | ||||
\(69\) | − | 62.6705i | − | 0.908267i | ||||||
\(70\) | −49.1577 | + | 5.78980i | −0.702253 | + | 0.0827114i | ||||
\(71\) | 66.2750 | 0.933450 | 0.466725 | − | 0.884402i | \(-0.345434\pi\) | ||||
0.466725 | + | 0.884402i | \(0.345434\pi\) | |||||||
\(72\) | 8.19615 | + | 2.19615i | 0.113835 | + | 0.0305021i | ||||
\(73\) | −34.9749 | + | 9.37151i | −0.479109 | + | 0.128377i | −0.490288 | − | 0.871561i | \(-0.663108\pi\) |
0.0111788 | + | 0.999938i | \(0.496442\pi\) | |||||||
\(74\) | 27.8413 | + | 16.0742i | 0.376233 | + | 0.217218i | ||||
\(75\) | 4.72334 | + | 43.0429i | 0.0629778 | + | 0.573905i | ||||
\(76\) | 38.3043 | 0.504004 | ||||||||
\(77\) | −12.2580 | − | 14.0584i | −0.159194 | − | 0.182577i | ||||
\(78\) | −22.4389 | − | 22.4389i | −0.287678 | − | 0.287678i | ||||
\(79\) | 83.6148 | − | 48.2750i | 1.05841 | − | 0.611076i | 0.133421 | − | 0.991059i | \(-0.457404\pi\) |
0.924993 | + | 0.379983i | \(0.124070\pi\) | |||||||
\(80\) | −6.63296 | + | 18.8681i | −0.0829120 | + | 0.235851i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −1.61183 | − | 0.431888i | −0.0196565 | − | 0.00526693i | ||||
\(83\) | −83.4979 | − | 83.4979i | −1.00600 | − | 1.00600i | −0.999982 | − | 0.00601630i | \(-0.998085\pi\) |
−0.00601630 | − | 0.999982i | \(-0.501915\pi\) | |||||||
\(84\) | −13.5295 | + | 20.1235i | −0.161065 | + | 0.239565i | ||||
\(85\) | −7.89987 | + | 11.5509i | −0.0929397 | + | 0.135894i | ||||
\(86\) | 2.70577 | + | 4.68654i | 0.0314625 | + | 0.0544946i | ||||
\(87\) | −5.59014 | − | 20.8627i | −0.0642544 | − | 0.239801i | ||||
\(88\) | −7.27974 | + | 1.95060i | −0.0827243 | + | 0.0221659i | ||||
\(89\) | −125.762 | + | 72.6089i | −1.41306 | + | 0.815830i | −0.995675 | − | 0.0928996i | \(-0.970386\pi\) |
−0.417384 | + | 0.908730i | \(0.637053\pi\) | |||||||
\(90\) | 17.5098 | + | 11.9752i | 0.194554 | + | 0.133058i | ||||
\(91\) | 81.4478 | − | 39.8765i | 0.895031 | − | 0.438204i | ||||
\(92\) | 51.1702 | − | 51.1702i | 0.556198 | − | 0.556198i | ||||
\(93\) | 4.78576 | − | 17.8607i | 0.0514598 | − | 0.192051i | ||||
\(94\) | −90.9430 | − | 52.5060i | −0.967479 | − | 0.558574i | ||||
\(95\) | 90.3410 | + | 31.7589i | 0.950958 | + | 0.334304i | ||||
\(96\) | 4.89898 | + | 8.48528i | 0.0510310 | + | 0.0883883i | ||||
\(97\) | −43.6910 | + | 43.6910i | −0.450422 | + | 0.450422i | −0.895495 | − | 0.445072i | \(-0.853178\pi\) |
0.445072 | + | 0.895495i | \(0.353178\pi\) | |||||||
\(98\) | −41.8700 | − | 55.2169i | −0.427245 | − | 0.563438i | ||||
\(99\) | 7.99371i | 0.0807446i | ||||||||
\(100\) | −31.2878 | + | 39.0010i | −0.312878 | + | 0.390010i | ||||
\(101\) | 41.1858 | − | 71.3359i | 0.407780 | − | 0.706296i | −0.586861 | − | 0.809688i | \(-0.699636\pi\) |
0.994641 | + | 0.103392i | \(0.0329697\pi\) | |||||||
\(102\) | 1.77437 | + | 6.62204i | 0.0173958 | + | 0.0649219i | ||||
\(103\) | −18.2409 | + | 68.0759i | −0.177096 | + | 0.660931i | 0.819089 | + | 0.573666i | \(0.194479\pi\) |
−0.996185 | + | 0.0872648i | \(0.972187\pi\) | |||||||
\(104\) | − | 36.6425i | − | 0.352332i | ||||||
\(105\) | −48.5941 | + | 36.2438i | −0.462801 | + | 0.345179i | ||||
\(106\) | 11.4724 | 0.108230 | ||||||||
\(107\) | −121.762 | − | 32.6260i | −1.13796 | − | 0.304916i | −0.359831 | − | 0.933017i | \(-0.617166\pi\) |
−0.778132 | + | 0.628101i | \(0.783832\pi\) | |||||||
\(108\) | 10.0382 | − | 2.68973i | 0.0929463 | − | 0.0249049i | ||||
\(109\) | 187.044 | + | 107.990i | 1.71600 | + | 0.990731i | 0.925918 | + | 0.377725i | \(0.123294\pi\) |
0.790079 | + | 0.613006i | \(0.210040\pi\) | |||||||
\(110\) | −18.7866 | − | 1.43527i | −0.170787 | − | 0.0130479i | ||||
\(111\) | 39.3735 | 0.354716 | ||||||||
\(112\) | −27.4775 | + | 5.38399i | −0.245335 | + | 0.0480714i | ||||
\(113\) | −30.7458 | − | 30.7458i | −0.272087 | − | 0.272087i | 0.557853 | − | 0.829940i | \(-0.311625\pi\) |
−0.829940 | + | 0.557853i | \(0.811625\pi\) | |||||||
\(114\) | 40.6279 | − | 23.4565i | 0.356385 | − | 0.205759i | ||||
\(115\) | 163.112 | − | 78.2591i | 1.41836 | − | 0.680514i | ||||
\(116\) | 12.4700 | − | 21.5986i | 0.107500 | − | 0.186195i | ||||
\(117\) | −37.5410 | − | 10.0591i | −0.320863 | − | 0.0859750i | ||||
\(118\) | −108.094 | − | 108.094i | −0.916050 | − | 0.916050i | ||||
\(119\) | −19.5459 | − | 1.33724i | −0.164251 | − | 0.0112373i | ||||
\(120\) | 4.51896 | + | 24.0744i | 0.0376580 | + | 0.200620i | ||||
\(121\) | 56.9500 | + | 98.6403i | 0.470661 | + | 0.815209i | ||||
\(122\) | 25.6390 | + | 95.6860i | 0.210156 | + | 0.784311i | ||||
\(123\) | −1.97408 | + | 0.528953i | −0.0160494 | + | 0.00430043i | ||||
\(124\) | 18.4908 | − | 10.6756i | 0.149119 | − | 0.0860939i | ||||
\(125\) | −106.129 | + | 66.0427i | −0.849032 | + | 0.528342i | ||||
\(126\) | −2.02709 | + | 29.6292i | −0.0160880 | + | 0.235153i | ||||
\(127\) | −144.611 | + | 144.611i | −1.13867 | + | 1.13867i | −0.149980 | + | 0.988689i | \(0.547921\pi\) |
−0.988689 | + | 0.149980i | \(0.952079\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 5.73981 | + | 3.31388i | 0.0444947 | + | 0.0256890i | ||||
\(130\) | 30.3811 | − | 86.4217i | 0.233701 | − | 0.664783i | ||||
\(131\) | 76.1519 | + | 131.899i | 0.581312 | + | 1.00686i | 0.995324 | + | 0.0965906i | \(0.0307938\pi\) |
−0.414012 | + | 0.910271i | \(0.635873\pi\) | |||||||
\(132\) | −6.52684 | + | 6.52684i | −0.0494457 | + | 0.0494457i | ||||
\(133\) | 25.7788 | + | 131.563i | 0.193825 | + | 0.989198i | ||||
\(134\) | 24.6975i | 0.184310i | ||||||||
\(135\) | 25.9053 | + | 1.97913i | 0.191891 | + | 0.0146602i | ||||
\(136\) | −3.95810 | + | 6.85564i | −0.0291037 | + | 0.0504091i | ||||
\(137\) | 63.4914 | + | 236.953i | 0.463441 | + | 1.72959i | 0.662007 | + | 0.749498i | \(0.269705\pi\) |
−0.198566 | + | 0.980088i | \(0.563628\pi\) | |||||||
\(138\) | 22.9390 | − | 85.6094i | 0.166224 | − | 0.620358i | ||||
\(139\) | − | 137.703i | − | 0.990670i | −0.868702 | − | 0.495335i | \(-0.835045\pi\) | ||
0.868702 | − | 0.495335i | \(-0.164955\pi\) | |||||||
\(140\) | −69.2699 | − | 10.0840i | −0.494785 | − | 0.0720282i | ||||
\(141\) | −128.613 | −0.912148 | ||||||||
\(142\) | 90.5333 | + | 24.2583i | 0.637558 | + | 0.170833i | ||||
\(143\) | 33.3435 | − | 8.93437i | 0.233172 | − | 0.0624781i | ||||
\(144\) | 10.3923 | + | 6.00000i | 0.0721688 | + | 0.0416667i | ||||
\(145\) | 47.3184 | − | 40.6014i | 0.326334 | − | 0.280010i | ||||
\(146\) | −51.2069 | −0.350732 | ||||||||
\(147\) | −78.2231 | − | 32.9264i | −0.532130 | − | 0.223989i | ||||
\(148\) | 32.1483 | + | 32.1483i | 0.217218 | + | 0.217218i | ||||
\(149\) | 150.312 | − | 86.7825i | 1.00880 | − | 0.582433i | 0.0979622 | − | 0.995190i | \(-0.468768\pi\) |
0.910841 | + | 0.412757i | \(0.135434\pi\) | |||||||
\(150\) | −9.30259 | + | 60.5265i | −0.0620173 | + | 0.403510i | ||||
\(151\) | 115.430 | − | 199.931i | 0.764440 | − | 1.32405i | −0.176102 | − | 0.984372i | \(-0.556349\pi\) |
0.940542 | − | 0.339677i | \(-0.110318\pi\) | |||||||
\(152\) | 52.3247 | + | 14.0204i | 0.344241 | + | 0.0922392i | ||||
\(153\) | 5.93716 | + | 5.93716i | 0.0388049 | + | 0.0388049i | ||||
\(154\) | −11.5990 | − | 23.6909i | −0.0753179 | − | 0.153837i | ||||
\(155\) | 52.4620 | − | 9.84754i | 0.338465 | − | 0.0635325i | ||||
\(156\) | −22.4389 | − | 38.8653i | −0.143839 | − | 0.249136i | ||||
\(157\) | 51.1253 | + | 190.802i | 0.325639 | + | 1.21530i | 0.913668 | + | 0.406461i | \(0.133237\pi\) |
−0.588029 | + | 0.808840i | \(0.700096\pi\) | |||||||
\(158\) | 131.890 | − | 35.3398i | 0.834745 | − | 0.223669i | ||||
\(159\) | 12.1683 | − | 7.02539i | 0.0765304 | − | 0.0441849i | ||||
\(160\) | −15.9670 | + | 23.3464i | −0.0997936 | + | 0.145915i | ||||
\(161\) | 210.191 | + | 141.316i | 1.30553 | + | 0.877740i | ||||
\(162\) | 9.00000 | − | 9.00000i | 0.0555556 | − | 0.0555556i | ||||
\(163\) | −15.0619 | + | 56.2117i | −0.0924042 | + | 0.344857i | −0.996613 | − | 0.0822332i | \(-0.973795\pi\) |
0.904209 | + | 0.427091i | \(0.140461\pi\) | |||||||
\(164\) | −2.04372 | − | 1.17994i | −0.0124617 | − | 0.00719476i | ||||
\(165\) | −20.8051 | + | 9.98207i | −0.126092 | + | 0.0604974i | ||||
\(166\) | −83.4979 | − | 144.623i | −0.502999 | − | 0.871220i | ||||
\(167\) | 133.293 | − | 133.293i | 0.798159 | − | 0.798159i | −0.184646 | − | 0.982805i | \(-0.559114\pi\) |
0.982805 | + | 0.184646i | \(0.0591138\pi\) | |||||||
\(168\) | −25.8473 | + | 22.5370i | −0.153853 | + | 0.134149i | ||||
\(169\) | − | 1.16549i | − | 0.00689640i | ||||||
\(170\) | −15.0194 | + | 12.8873i | −0.0883492 | + | 0.0758078i | ||||
\(171\) | 28.7282 | − | 49.7588i | 0.168001 | − | 0.290987i | ||||
\(172\) | 1.98076 | + | 7.39231i | 0.0115161 | + | 0.0429786i | ||||
\(173\) | −40.8051 | + | 152.287i | −0.235868 | + | 0.880270i | 0.741888 | + | 0.670523i | \(0.233930\pi\) |
−0.977756 | + | 0.209746i | \(0.932736\pi\) | |||||||
\(174\) | − | 30.5451i | − | 0.175546i | ||||||
\(175\) | −155.013 | − | 81.2161i | −0.885787 | − | 0.464092i | ||||
\(176\) | −10.6583 | −0.0605584 | ||||||||
\(177\) | −180.845 | − | 48.4572i | −1.02172 | − | 0.273769i | ||||
\(178\) | −198.371 | + | 53.1534i | −1.11445 | + | 0.298615i | ||||
\(179\) | 99.0632 | + | 57.1941i | 0.553425 | + | 0.319520i | 0.750502 | − | 0.660868i | \(-0.229812\pi\) |
−0.197077 | + | 0.980388i | \(0.563145\pi\) | |||||||
\(180\) | 19.5356 | + | 22.7675i | 0.108531 | + | 0.126486i | ||||
\(181\) | −138.045 | −0.762680 | −0.381340 | − | 0.924435i | \(-0.624537\pi\) | ||||
−0.381340 | + | 0.924435i | \(0.624537\pi\) | |||||||
\(182\) | 125.856 | − | 24.6604i | 0.691515 | − | 0.135497i | ||||
\(183\) | 85.7897 | + | 85.7897i | 0.468796 | + | 0.468796i | ||||
\(184\) | 88.6294 | − | 51.1702i | 0.481682 | − | 0.278099i | ||||
\(185\) | 49.1673 | + | 102.477i | 0.265769 | + | 0.553929i | ||||
\(186\) | 13.0749 | − | 22.6465i | 0.0702954 | − | 0.121755i | ||||
\(187\) | −7.20350 | − | 1.93017i | −0.0385214 | − | 0.0103218i | ||||
\(188\) | −105.012 | − | 105.012i | −0.558574 | − | 0.558574i | ||||
\(189\) | 15.9941 | + | 32.6679i | 0.0846247 | + | 0.172846i | ||||
\(190\) | 111.784 | + | 76.4506i | 0.588335 | + | 0.402371i | ||||
\(191\) | 58.2285 | + | 100.855i | 0.304861 | + | 0.528035i | 0.977230 | − | 0.212181i | \(-0.0680567\pi\) |
−0.672369 | + | 0.740216i | \(0.734723\pi\) | |||||||
\(192\) | 3.58630 | + | 13.3843i | 0.0186787 | + | 0.0697097i | ||||
\(193\) | −254.287 | + | 68.1361i | −1.31755 | + | 0.353037i | −0.848060 | − | 0.529900i | \(-0.822229\pi\) |
−0.469491 | + | 0.882937i | \(0.655563\pi\) | |||||||
\(194\) | −75.6750 | + | 43.6910i | −0.390077 | + | 0.225211i | ||||
\(195\) | −20.6983 | − | 110.269i | −0.106145 | − | 0.565480i | ||||
\(196\) | −36.9846 | − | 90.7532i | −0.188697 | − | 0.463026i | ||||
\(197\) | 87.0401 | − | 87.0401i | 0.441828 | − | 0.441828i | −0.450798 | − | 0.892626i | \(-0.648861\pi\) |
0.892626 | + | 0.450798i | \(0.148861\pi\) | |||||||
\(198\) | −2.92590 | + | 10.9196i | −0.0147773 | + | 0.0551496i | ||||
\(199\) | 327.885 | + | 189.304i | 1.64766 | + | 0.951278i | 0.977998 | + | 0.208615i | \(0.0668954\pi\) |
0.669664 | + | 0.742664i | \(0.266438\pi\) | |||||||
\(200\) | −57.0152 | + | 41.8242i | −0.285076 | + | 0.209121i | ||||
\(201\) | 15.1241 | + | 26.1957i | 0.0752441 | + | 0.130327i | ||||
\(202\) | 82.3716 | − | 82.3716i | 0.407780 | − | 0.407780i | ||||
\(203\) | 82.5768 | + | 28.2946i | 0.406782 | + | 0.139382i | ||||
\(204\) | 9.69534i | 0.0475262i | ||||||||
\(205\) | −3.84181 | − | 4.47739i | −0.0187405 | − | 0.0218409i | ||||
\(206\) | −49.8350 | + | 86.3168i | −0.241918 | + | 0.419013i | ||||
\(207\) | −28.0944 | − | 104.850i | −0.135722 | − | 0.506520i | ||||
\(208\) | 13.4121 | − | 50.0546i | 0.0644813 | − | 0.240647i | ||||
\(209\) | 51.0323i | 0.244174i | ||||||||
\(210\) | −79.6469 | + | 31.7233i | −0.379271 | + | 0.151063i | ||||
\(211\) | −282.104 | −1.33698 | −0.668492 | − | 0.743719i | \(-0.733060\pi\) | ||||
−0.668492 | + | 0.743719i | \(0.733060\pi\) | |||||||
\(212\) | 15.6716 | + | 4.19920i | 0.0739227 | + | 0.0198075i | ||||
\(213\) | 110.880 | − | 29.7102i | 0.520564 | − | 0.139485i | ||||
\(214\) | −154.388 | − | 89.1360i | −0.721440 | − | 0.416523i | ||||
\(215\) | −1.45747 | + | 19.0771i | −0.00677892 | + | 0.0887308i | ||||
\(216\) | 14.6969 | 0.0680414 | ||||||||
\(217\) | 49.1118 | + | 56.3253i | 0.226322 | + | 0.259563i | ||||
\(218\) | 215.979 | + | 215.979i | 0.990731 | + | 0.990731i | ||||
\(219\) | −54.3131 | + | 31.3577i | −0.248005 | + | 0.143186i | ||||
\(220\) | −25.1376 | − | 8.83700i | −0.114262 | − | 0.0401682i | ||||
\(221\) | 18.1294 | − | 31.4010i | 0.0820334 | − | 0.142086i | ||||
\(222\) | 53.7852 | + | 14.4117i | 0.242276 | + | 0.0649176i | ||||
\(223\) | −284.006 | − | 284.006i | −1.27357 | − | 1.27357i | −0.944203 | − | 0.329365i | \(-0.893165\pi\) |
−0.329365 | − | 0.944203i | \(-0.606835\pi\) | |||||||
\(224\) | −39.5056 | − | 2.70279i | −0.176364 | − | 0.0120660i | ||||
\(225\) | 27.1979 | + | 69.8947i | 0.120880 | + | 0.310643i | ||||
\(226\) | −30.7458 | − | 53.2533i | −0.136043 | − | 0.235634i | ||||
\(227\) | −67.3074 | − | 251.195i | −0.296508 | − | 1.10658i | −0.940012 | − | 0.341141i | \(-0.889187\pi\) |
0.643504 | − | 0.765443i | \(-0.277480\pi\) | |||||||
\(228\) | 64.0844 | − | 17.1714i | 0.281072 | − | 0.0753130i | ||||
\(229\) | −70.9480 | + | 40.9618i | −0.309817 | + | 0.178873i | −0.646844 | − | 0.762622i | \(-0.723912\pi\) |
0.337028 | + | 0.941495i | \(0.390578\pi\) | |||||||
\(230\) | 251.459 | − | 47.2009i | 1.09330 | − | 0.205221i | ||||
\(231\) | −26.8102 | − | 18.0251i | −0.116061 | − | 0.0780307i | ||||
\(232\) | 24.9400 | − | 24.9400i | 0.107500 | − | 0.107500i | ||||
\(233\) | −0.0192707 | + | 0.0719192i | −8.27069e−5 | + | 0.000308666i | −0.965967 | − | 0.258665i | \(-0.916718\pi\) |
0.965884 | + | 0.258973i | \(0.0833842\pi\) | |||||||
\(234\) | −47.6001 | − | 27.4819i | −0.203419 | − | 0.117444i | ||||
\(235\) | −160.604 | − | 334.739i | −0.683421 | − | 1.42442i | ||||
\(236\) | −108.094 | − | 187.224i | −0.458025 | − | 0.793323i | ||||
\(237\) | 118.249 | − | 118.249i | 0.498941 | − | 0.498941i | ||||
\(238\) | −26.2108 | − | 8.98101i | −0.110129 | − | 0.0377353i | ||||
\(239\) | − | 214.333i | − | 0.896789i | −0.893836 | − | 0.448395i | \(-0.851996\pi\) | ||
0.893836 | − | 0.448395i | \(-0.148004\pi\) | |||||||
\(240\) | −2.63884 | + | 34.5404i | −0.0109952 | + | 0.143918i | ||||
\(241\) | 8.97579 | − | 15.5465i | 0.0372439 | − | 0.0645084i | −0.846803 | − | 0.531907i | \(-0.821475\pi\) |
0.884047 | + | 0.467399i | \(0.154809\pi\) | |||||||
\(242\) | 41.6903 | + | 155.590i | 0.172274 | + | 0.642935i | ||||
\(243\) | 4.03459 | − | 15.0573i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | 140.094i | 0.574156i | ||||||||
\(245\) | −11.9833 | − | 244.707i | −0.0489115 | − | 0.998803i | ||||
\(246\) | −2.89025 | −0.0117490 | ||||||||
\(247\) | −239.664 | − | 64.2177i | −0.970298 | − | 0.259991i | ||||
\(248\) | 29.1664 | − | 7.81512i | 0.117606 | − | 0.0315126i | ||||
\(249\) | −177.126 | − | 102.264i | −0.711348 | − | 0.410697i | ||||
\(250\) | −169.148 | + | 51.3702i | −0.676593 | + | 0.205481i | ||||
\(251\) | 199.148 | 0.793420 | 0.396710 | − | 0.917944i | \(-0.370152\pi\) | ||||
0.396710 | + | 0.917944i | \(0.370152\pi\) | |||||||
\(252\) | −13.6141 | + | 39.7323i | −0.0540242 | + | 0.157668i | ||||
\(253\) | 68.1733 | + | 68.1733i | 0.269460 | + | 0.269460i | ||||
\(254\) | −250.473 | + | 144.611i | −0.986116 | + | 0.569334i | ||||
\(255\) | −8.03860 | + | 22.8665i | −0.0315239 | + | 0.0896727i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 31.5331 | + | 8.44926i | 0.122697 | + | 0.0328765i | 0.319645 | − | 0.947537i | \(-0.396436\pi\) |
−0.196948 | + | 0.980414i | \(0.563103\pi\) | |||||||
\(258\) | 6.62777 | + | 6.62777i | 0.0256890 | + | 0.0256890i | ||||
\(259\) | −88.7836 | + | 132.055i | −0.342794 | + | 0.509866i | ||||
\(260\) | 73.1339 | − | 106.934i | 0.281284 | − | 0.411285i | ||||
\(261\) | −18.7050 | − | 32.3979i | −0.0716665 | − | 0.124130i | ||||
\(262\) | 55.7470 | + | 208.051i | 0.212775 | + | 0.794087i | ||||
\(263\) | 60.8104 | − | 16.2941i | 0.231218 | − | 0.0619547i | −0.141350 | − | 0.989960i | \(-0.545144\pi\) |
0.372568 | + | 0.928005i | \(0.378477\pi\) | |||||||
\(264\) | −11.3048 | + | 6.52684i | −0.0428213 | + | 0.0247229i | ||||
\(265\) | 33.4800 | + | 22.8975i | 0.126340 | + | 0.0864056i | ||||
\(266\) | −12.9411 | + | 189.155i | −0.0486506 | + | 0.711107i | ||||
\(267\) | −177.855 | + | 177.855i | −0.666123 | + | 0.666123i | ||||
\(268\) | −9.03991 | + | 33.7374i | −0.0337310 | + | 0.125886i | ||||
\(269\) | −254.691 | − | 147.046i | −0.946807 | − | 0.546639i | −0.0547192 | − | 0.998502i | \(-0.517426\pi\) |
−0.892088 | + | 0.451863i | \(0.850760\pi\) | |||||||
\(270\) | 34.6628 | + | 12.1855i | 0.128381 | + | 0.0451316i | ||||
\(271\) | −137.975 | − | 238.979i | −0.509132 | − | 0.881843i | −0.999944 | − | 0.0105773i | \(-0.996633\pi\) |
0.490812 | − | 0.871266i | \(-0.336700\pi\) | |||||||
\(272\) | −7.91621 | + | 7.91621i | −0.0291037 | + | 0.0291037i | ||||
\(273\) | 118.389 | − | 103.227i | 0.433658 | − | 0.378120i | ||||
\(274\) | 346.924i | 1.26614i | ||||||||
\(275\) | −51.9604 | − | 41.6843i | −0.188947 | − | 0.151579i | ||||
\(276\) | 62.6705 | − | 108.548i | 0.227067 | − | 0.393291i | ||||
\(277\) | −85.9356 | − | 320.716i | −0.310237 | − | 1.15782i | −0.928343 | − | 0.371725i | \(-0.878766\pi\) |
0.618106 | − | 0.786095i | \(-0.287900\pi\) | |||||||
\(278\) | 50.4029 | − | 188.106i | 0.181305 | − | 0.676641i | ||||
\(279\) | − | 32.0269i | − | 0.114792i | ||||||
\(280\) | −90.9334 | − | 39.1295i | −0.324762 | − | 0.139748i | ||||
\(281\) | −386.157 | −1.37423 | −0.687113 | − | 0.726551i | \(-0.741122\pi\) | ||||
−0.687113 | + | 0.726551i | \(0.741122\pi\) | |||||||
\(282\) | −175.688 | − | 47.0756i | −0.623009 | − | 0.166935i | ||||
\(283\) | −150.703 | + | 40.3806i | −0.532518 | + | 0.142688i | −0.515051 | − | 0.857160i | \(-0.672227\pi\) |
−0.0174672 | + | 0.999847i | \(0.505560\pi\) | |||||||
\(284\) | 114.792 | + | 66.2750i | 0.404196 | + | 0.233363i | ||||
\(285\) | 165.381 | + | 12.6349i | 0.580283 | + | 0.0443329i | ||||
\(286\) | 48.8183 | 0.170693 | ||||||||
\(287\) | 2.67731 | − | 7.81363i | 0.00932860 | − | 0.0272252i | ||||
\(288\) | 12.0000 | + | 12.0000i | 0.0416667 | + | 0.0416667i | ||||
\(289\) | 243.498 | − | 140.583i | 0.842552 | − | 0.486448i | ||||
\(290\) | 79.4993 | − | 38.1429i | 0.274135 | − | 0.131527i | ||||
\(291\) | −53.5103 | + | 92.6825i | −0.183884 | + | 0.318497i | ||||
\(292\) | −69.9499 | − | 18.7430i | −0.239554 | − | 0.0641884i | ||||
\(293\) | 86.2939 | + | 86.2939i | 0.294519 | + | 0.294519i | 0.838862 | − | 0.544344i | \(-0.183221\pi\) |
−0.544344 | + | 0.838862i | \(0.683221\pi\) | |||||||
\(294\) | −94.8029 | − | 73.6099i | −0.322459 | − | 0.250374i | ||||
\(295\) | −99.7091 | − | 531.192i | −0.337997 | − | 1.80065i | ||||
\(296\) | 32.1483 | + | 55.6825i | 0.108609 | + | 0.188117i | ||||
\(297\) | 3.58348 | + | 13.3737i | 0.0120656 | + | 0.0450294i | ||||
\(298\) | 237.094 | − | 63.5292i | 0.795618 | − | 0.213185i | ||||
\(299\) | −405.951 | + | 234.376i | −1.35770 | + | 0.783866i | ||||
\(300\) | −34.8618 | + | 79.2758i | −0.116206 | + | 0.264253i | ||||
\(301\) | −24.0572 | + | 11.7783i | −0.0799243 | + | 0.0391306i | ||||
\(302\) | 230.861 | − | 230.861i | 0.764440 | − | 0.764440i | ||||
\(303\) | 36.9262 | − | 137.810i | 0.121869 | − | 0.454820i | ||||
\(304\) | 66.3450 | + | 38.3043i | 0.218240 | + | 0.126001i | ||||
\(305\) | −116.155 | + | 330.413i | −0.380835 | + | 1.08332i | ||||
\(306\) | 5.93716 | + | 10.2835i | 0.0194025 | + | 0.0336061i | ||||
\(307\) | 216.926 | − | 216.926i | 0.706601 | − | 0.706601i | −0.259218 | − | 0.965819i | \(-0.583465\pi\) |
0.965819 | + | 0.259218i | \(0.0834648\pi\) | |||||||
\(308\) | −7.17301 | − | 36.6079i | −0.0232890 | − | 0.118857i | ||||
\(309\) | 122.070i | 0.395050i | ||||||||
\(310\) | 75.2689 | + | 5.75044i | 0.242803 | + | 0.0185498i | ||||
\(311\) | −118.412 | + | 205.096i | −0.380748 | + | 0.659474i | −0.991169 | − | 0.132603i | \(-0.957667\pi\) |
0.610422 | + | 0.792077i | \(0.291000\pi\) | |||||||
\(312\) | −16.4264 | − | 61.3042i | −0.0526487 | − | 0.196488i | ||||
\(313\) | −93.9171 | + | 350.504i | −0.300055 | + | 1.11982i | 0.637065 | + | 0.770810i | \(0.280148\pi\) |
−0.937119 | + | 0.349009i | \(0.886518\pi\) | |||||||
\(314\) | 279.354i | 0.889662i | ||||||||
\(315\) | −65.0518 | + | 82.4212i | −0.206514 | + | 0.261655i | ||||
\(316\) | 193.100 | 0.611076 | ||||||||
\(317\) | −404.457 | − | 108.374i | −1.27589 | − | 0.341874i | −0.443606 | − | 0.896222i | \(-0.646301\pi\) |
−0.832285 | + | 0.554348i | \(0.812968\pi\) | |||||||
\(318\) | 19.1937 | − | 5.14294i | 0.0603576 | − | 0.0161728i | ||||
\(319\) | 28.7755 | + | 16.6136i | 0.0902055 | + | 0.0520801i | ||||
\(320\) | −30.3567 | + | 26.0475i | −0.0948647 | + | 0.0813984i | ||||
\(321\) | −218.338 | −0.680180 | ||||||||
\(322\) | 235.401 | + | 269.977i | 0.731059 | + | 0.838437i | ||||
\(323\) | 37.9031 | + | 37.9031i | 0.117347 | + | 0.117347i | ||||
\(324\) | 15.5885 | − | 9.00000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | 261.148 | − | 191.568i | 0.803532 | − | 0.589440i | ||||
\(326\) | −41.1499 | + | 71.2736i | −0.126227 | + | 0.218631i | ||||
\(327\) | 361.340 | + | 96.8209i | 1.10502 | + | 0.296088i | ||||
\(328\) | −2.35988 | − | 2.35988i | −0.00719476 | − | 0.00719476i | ||||
\(329\) | 290.010 | − | 431.356i | 0.881490 | − | 1.31111i | ||||
\(330\) | −32.0740 | + | 6.02055i | −0.0971940 | + | 0.0182441i | ||||
\(331\) | 137.911 | + | 238.870i | 0.416651 | + | 0.721660i | 0.995600 | − | 0.0937031i | \(-0.0298704\pi\) |
−0.578949 | + | 0.815364i | \(0.696537\pi\) | |||||||
\(332\) | −61.1247 | − | 228.120i | −0.184110 | − | 0.687110i | ||||
\(333\) | 65.8731 | − | 17.6507i | 0.197817 | − | 0.0530050i | ||||
\(334\) | 230.870 | − | 133.293i | 0.691226 | − | 0.399080i | ||||
\(335\) | −49.2931 | + | 72.0748i | −0.147143 | + | 0.215149i | ||||
\(336\) | −43.5572 | + | 21.3254i | −0.129634 | + | 0.0634685i | ||||
\(337\) | 353.069 | − | 353.069i | 1.04768 | − | 1.04768i | 0.0488767 | − | 0.998805i | \(-0.484436\pi\) |
0.998805 | − | 0.0488767i | \(-0.0155642\pi\) | |||||||
\(338\) | 0.426600 | − | 1.59209i | 0.00126213 | − | 0.00471033i | ||||
\(339\) | −65.2217 | − | 37.6558i | −0.192394 | − | 0.111079i | ||||
\(340\) | −25.2339 | + | 12.1070i | −0.0742174 | + | 0.0356087i | ||||
\(341\) | 14.2230 | + | 24.6350i | 0.0417097 | + | 0.0722433i | ||||
\(342\) | 57.4565 | − | 57.4565i | 0.168001 | − | 0.168001i | ||||
\(343\) | 286.818 | − | 188.107i | 0.836204 | − | 0.548418i | ||||
\(344\) | 10.8231i | 0.0314625i | ||||||||
\(345\) | 237.808 | − | 204.051i | 0.689300 | − | 0.591452i | ||||
\(346\) | −111.482 | + | 193.092i | −0.322201 | + | 0.558069i | ||||
\(347\) | 153.997 | + | 574.723i | 0.443794 | + | 1.65626i | 0.719100 | + | 0.694906i | \(0.244554\pi\) |
−0.275306 | + | 0.961357i | \(0.588779\pi\) | |||||||
\(348\) | 11.1803 | − | 41.7254i | 0.0321272 | − | 0.119900i | ||||
\(349\) | 455.965i | 1.30649i | 0.757147 | + | 0.653245i | \(0.226593\pi\) | ||||
−0.757147 | + | 0.653245i | \(0.773407\pi\) | |||||||
\(350\) | −182.024 | − | 167.682i | −0.520069 | − | 0.479091i | ||||
\(351\) | −67.3167 | −0.191785 | ||||||||
\(352\) | −14.5595 | − | 3.90120i | −0.0413622 | − | 0.0110830i | ||||
\(353\) | 274.359 | − | 73.5143i | 0.777221 | − | 0.208256i | 0.151662 | − | 0.988432i | \(-0.451537\pi\) |
0.625559 | + | 0.780177i | \(0.284871\pi\) | |||||||
\(354\) | −229.302 | − | 132.387i | −0.647745 | − | 0.373976i | ||||
\(355\) | 215.787 | + | 251.486i | 0.607851 | + | 0.708411i | ||||
\(356\) | −290.436 | −0.815830 | ||||||||
\(357\) | −33.3004 | + | 6.52495i | −0.0932786 | + | 0.0182772i | ||||
\(358\) | 114.388 | + | 114.388i | 0.319520 | + | 0.319520i | ||||
\(359\) | 270.053 | − | 155.915i | 0.752237 | − | 0.434304i | −0.0742647 | − | 0.997239i | \(-0.523661\pi\) |
0.826502 | + | 0.562934i | \(0.190328\pi\) | |||||||
\(360\) | 18.3527 | + | 38.2515i | 0.0509796 | + | 0.106254i | ||||
\(361\) | 2.90262 | − | 5.02749i | 0.00804050 | − | 0.0139266i | ||||
\(362\) | −188.573 | − | 50.5280i | −0.520920 | − | 0.139580i | ||||
\(363\) | 139.499 | + | 139.499i | 0.384293 | + | 0.384293i | ||||
\(364\) | 180.948 | + | 12.3796i | 0.497111 | + | 0.0340100i | ||||
\(365\) | −149.437 | − | 102.202i | −0.409417 | − | 0.280007i | ||||
\(366\) | 85.7897 | + | 148.592i | 0.234398 | + | 0.405989i | ||||
\(367\) | 59.7822 | + | 223.110i | 0.162894 | + | 0.607930i | 0.998299 | + | 0.0582952i | \(0.0185665\pi\) |
−0.835405 | + | 0.549635i | \(0.814767\pi\) | |||||||
\(368\) | 139.800 | − | 37.4592i | 0.379890 | − | 0.101791i | ||||
\(369\) | −3.06558 | + | 1.76991i | −0.00830780 | + | 0.00479651i | ||||
\(370\) | 29.6546 | + | 157.983i | 0.0801475 | + | 0.426980i | ||||
\(371\) | −3.87594 | + | 56.6531i | −0.0104473 | + | 0.152704i | ||||
\(372\) | 26.1499 | − | 26.1499i | 0.0702954 | − | 0.0702954i | ||||
\(373\) | −140.219 | + | 523.306i | −0.375923 | + | 1.40296i | 0.476068 | + | 0.879409i | \(0.342062\pi\) |
−0.851991 | + | 0.523556i | \(0.824605\pi\) | |||||||
\(374\) | −9.13367 | − | 5.27332i | −0.0244216 | − | 0.0140998i | ||||
\(375\) | −147.951 | + | 158.068i | −0.394536 | + | 0.421515i | ||||
\(376\) | −105.012 | − | 181.886i | −0.279287 | − | 0.483739i | ||||
\(377\) | −114.233 | + | 114.233i | −0.303005 | + | 0.303005i | ||||
\(378\) | 9.89102 | + | 50.4794i | 0.0261667 | + | 0.133543i | ||||
\(379\) | 454.147i | 1.19828i | 0.800645 | + | 0.599139i | \(0.204490\pi\) | ||||
−0.800645 | + | 0.599139i | \(0.795510\pi\) | |||||||
\(380\) | 124.716 | + | 145.349i | 0.328201 | + | 0.382497i | ||||
\(381\) | −177.111 | + | 306.766i | −0.464860 | + | 0.805160i | ||||
\(382\) | 42.6262 | + | 159.083i | 0.111587 | + | 0.416448i | ||||
\(383\) | 51.1047 | − | 190.725i | 0.133433 | − | 0.497977i | −0.866567 | − | 0.499061i | \(-0.833678\pi\) |
0.999999 | + | 0.00108386i | \(0.000345004\pi\) | |||||||
\(384\) | 19.5959i | 0.0510310i | ||||||||
\(385\) | 13.4347 | − | 92.2872i | 0.0348953 | − | 0.239707i | ||||
\(386\) | −372.303 | −0.964514 | ||||||||
\(387\) | 11.0885 | + | 2.97115i | 0.0286524 | + | 0.00767738i | ||||
\(388\) | −119.366 | + | 31.9840i | −0.307644 | + | 0.0824330i | ||||
\(389\) | −39.8246 | − | 22.9928i | −0.102377 | − | 0.0591074i | 0.447937 | − | 0.894065i | \(-0.352159\pi\) |
−0.550314 | + | 0.834958i | \(0.685492\pi\) | |||||||
\(390\) | 12.0867 | − | 158.206i | 0.0309916 | − | 0.405656i | ||||
\(391\) | 101.269 | 0.258999 | ||||||||
\(392\) | −17.3040 | − | 137.508i | −0.0441429 | − | 0.350787i | ||||
\(393\) | 186.533 | + | 186.533i | 0.474639 | + | 0.474639i | ||||
\(394\) | 150.758 | − | 87.0401i | 0.382634 | − | 0.220914i | ||||
\(395\) | 455.428 | + | 160.103i | 1.15298 | + | 0.405324i | ||||
\(396\) | −7.99371 | + | 13.8455i | −0.0201861 | + | 0.0349634i | ||||
\(397\) | 565.506 | + | 151.527i | 1.42445 | + | 0.381680i | 0.887059 | − | 0.461655i | \(-0.152744\pi\) |
0.537388 | + | 0.843335i | \(0.319411\pi\) | |||||||
\(398\) | 378.609 | + | 378.609i | 0.951278 | + | 0.951278i | ||||
\(399\) | 102.107 | + | 208.553i | 0.255907 | + | 0.522690i | ||||
\(400\) | −93.1930 | + | 36.2639i | −0.232982 | + | 0.0906596i | ||||
\(401\) | −203.933 | − | 353.222i | −0.508561 | − | 0.880853i | −0.999951 | − | 0.00991335i | \(-0.996844\pi\) |
0.491390 | − | 0.870940i | \(-0.336489\pi\) | |||||||
\(402\) | 11.0716 | + | 41.3197i | 0.0275413 | + | 0.102785i | ||||
\(403\) | −133.591 | + | 35.7957i | −0.331492 | + | 0.0888231i | ||||
\(404\) | 142.672 | − | 82.3716i | 0.353148 | − | 0.203890i | ||||
\(405\) | 44.2276 | − | 8.30187i | 0.109204 | − | 0.0204984i | ||||
\(406\) | 102.445 | + | 68.8764i | 0.252329 | + | 0.169646i | ||||
\(407\) | −42.8307 | + | 42.8307i | −0.105235 | + | 0.105235i | ||||
\(408\) | −3.54874 | + | 13.2441i | −0.00869789 | + | 0.0324610i | ||||
\(409\) | −273.205 | − | 157.735i | −0.667983 | − | 0.385660i | 0.127329 | − | 0.991861i | \(-0.459360\pi\) |
−0.795312 | + | 0.606201i | \(0.792693\pi\) | |||||||
\(410\) | −3.60918 | − | 7.52243i | −0.00880287 | − | 0.0183474i | ||||
\(411\) | 212.446 | + | 367.968i | 0.516901 | + | 0.895299i | ||||
\(412\) | −99.6700 | + | 99.6700i | −0.241918 | + | 0.241918i | ||||
\(413\) | 570.309 | − | 497.270i | 1.38089 | − | 1.20404i | ||||
\(414\) | − | 153.511i | − | 0.370799i | ||||||
\(415\) | 44.9762 | − | 588.703i | 0.108376 | − | 1.41856i | ||||
\(416\) | 36.6425 | − | 63.4667i | 0.0880830 | − | 0.152564i | ||||
\(417\) | −61.7307 | − | 230.382i | −0.148035 | − | 0.552475i | ||||
\(418\) | −18.6791 | + | 69.7114i | −0.0446869 | + | 0.166774i | ||||
\(419\) | 661.489i | 1.57873i | 0.613922 | + | 0.789367i | \(0.289591\pi\) | ||||
−0.613922 | + | 0.789367i | \(0.710409\pi\) | |||||||
\(420\) | −120.411 | + | 14.1820i | −0.286693 | + | 0.0337668i | ||||
\(421\) | −392.108 | −0.931372 | −0.465686 | − | 0.884950i | \(-0.654192\pi\) | ||||
−0.465686 | + | 0.884950i | \(0.654192\pi\) | |||||||
\(422\) | −385.361 | − | 103.257i | −0.913177 | − | 0.244685i | ||||
\(423\) | −215.173 | + | 57.6556i | −0.508684 | + | 0.136302i | ||||
\(424\) | 19.8708 | + | 11.4724i | 0.0468651 | + | 0.0270576i | ||||
\(425\) | −69.5525 | + | 7.63239i | −0.163653 | + | 0.0179586i | ||||
\(426\) | 162.340 | 0.381079 | ||||||||
\(427\) | −481.179 | + | 94.2831i | −1.12688 | + | 0.220804i | ||||
\(428\) | −178.272 | − | 178.272i | −0.416523 | − | 0.416523i | ||||
\(429\) | 51.7797 | − | 29.8950i | 0.120698 | − | 0.0696853i | ||||
\(430\) | −8.97365 | + | 25.5264i | −0.0208689 | + | 0.0593636i | ||||
\(431\) | 21.8126 | − | 37.7805i | 0.0506093 | − | 0.0876579i | −0.839611 | − | 0.543188i | \(-0.817217\pi\) |
0.890220 | + | 0.455530i | \(0.150550\pi\) | |||||||
\(432\) | 20.0764 | + | 5.37945i | 0.0464731 | + | 0.0124524i | ||||
\(433\) | 527.265 | + | 527.265i | 1.21770 | + | 1.21770i | 0.968434 | + | 0.249268i | \(0.0801901\pi\) |
0.249268 | + | 0.968434i | \(0.419810\pi\) | |||||||
\(434\) | 46.4714 | + | 94.9179i | 0.107077 | + | 0.218705i | ||||
\(435\) | 60.9641 | − | 89.1398i | 0.140147 | − | 0.204919i | ||||
\(436\) | 215.979 | + | 374.087i | 0.495365 | + | 0.857998i | ||||
\(437\) | −179.356 | − | 669.366i | −0.410426 | − | 1.53173i | ||||
\(438\) | −85.6708 | + | 22.9554i | −0.195595 | + | 0.0524096i | ||||
\(439\) | 307.063 | − | 177.283i | 0.699459 | − | 0.403833i | −0.107687 | − | 0.994185i | \(-0.534344\pi\) |
0.807146 | + | 0.590352i | \(0.201011\pi\) | |||||||
\(440\) | −31.1041 | − | 21.2726i | −0.0706911 | − | 0.0483468i | ||||
\(441\) | −145.630 | − | 20.0204i | −0.330227 | − | 0.0453977i | ||||
\(442\) | 36.2588 | − | 36.2588i | 0.0820334 | − | 0.0820334i | ||||
\(443\) | −156.144 | + | 582.736i | −0.352469 | + | 1.31543i | 0.531171 | + | 0.847265i | \(0.321752\pi\) |
−0.883640 | + | 0.468167i | \(0.844915\pi\) | |||||||
\(444\) | 68.1969 | + | 39.3735i | 0.153597 | + | 0.0886790i | ||||
\(445\) | −684.995 | − | 240.806i | −1.53931 | − | 0.541137i | ||||
\(446\) | −284.006 | − | 491.912i | −0.636784 | − | 1.10294i | ||||
\(447\) | 212.573 | − | 212.573i | 0.475554 | − | 0.475554i | ||||
\(448\) | −52.9764 | − | 18.1521i | −0.118251 | − | 0.0405182i | ||||
\(449\) | − | 304.047i | − | 0.677165i | −0.940937 | − | 0.338583i | \(-0.890053\pi\) | ||
0.940937 | − | 0.338583i | \(-0.109947\pi\) | |||||||
\(450\) | 11.5698 | + | 105.433i | 0.0257106 | + | 0.234296i | ||||
\(451\) | 1.57202 | − | 2.72282i | 0.00348563 | − | 0.00603728i | ||||
\(452\) | −22.5075 | − | 83.9991i | −0.0497954 | − | 0.185839i | ||||
\(453\) | 103.492 | − | 386.238i | 0.228459 | − | 0.852622i | ||||
\(454\) | − | 367.774i | − | 0.810076i | ||||||
\(455\) | 416.504 | + | 179.225i | 0.915393 | + | 0.393902i | ||||
\(456\) | 93.8260 | 0.205759 | ||||||||
\(457\) | −248.101 | − | 66.4786i | −0.542891 | − | 0.145467i | −0.0230567 | − | 0.999734i | \(-0.507340\pi\) |
−0.519835 | + | 0.854267i | \(0.674006\pi\) | |||||||
\(458\) | −111.910 | + | 29.9861i | −0.244345 | + | 0.0654719i | ||||
\(459\) | 12.5946 | + | 7.27150i | 0.0274392 | + | 0.0158421i | ||||
\(460\) | 360.777 | + | 27.5629i | 0.784297 | + | 0.0599193i | ||||
\(461\) | −528.700 | −1.14685 | −0.573427 | − | 0.819257i | \(-0.694386\pi\) | ||||
−0.573427 | + | 0.819257i | \(0.694386\pi\) | |||||||
\(462\) | −30.0258 | − | 34.4359i | −0.0649909 | − | 0.0745367i | ||||
\(463\) | −415.206 | − | 415.206i | −0.896773 | − | 0.896773i | 0.0983763 | − | 0.995149i | \(-0.468635\pi\) |
−0.995149 | + | 0.0983763i | \(0.968635\pi\) | |||||||
\(464\) | 43.1973 | − | 24.9400i | 0.0930975 | − | 0.0537499i | ||||
\(465\) | 83.3561 | − | 39.9933i | 0.179260 | − | 0.0860071i | ||||
\(466\) | −0.0526485 | + | 0.0911900i | −0.000112980 | + | 0.000195687i | ||||
\(467\) | −409.645 | − | 109.764i | −0.877185 | − | 0.235041i | −0.207993 | − | 0.978130i | \(-0.566693\pi\) |
−0.669192 | + | 0.743089i | \(0.733360\pi\) | |||||||
\(468\) | −54.9638 | − | 54.9638i | −0.117444 | − | 0.117444i | ||||
\(469\) | −121.961 | − | 8.34402i | −0.260045 | − | 0.0177911i | ||||
\(470\) | −96.8662 | − | 516.047i | −0.206098 | − | 1.09797i | ||||
\(471\) | 171.069 | + | 296.300i | 0.363203 | + | 0.629086i | ||||
\(472\) | −79.1302 | − | 295.318i | −0.167649 | − | 0.625674i | ||||
\(473\) | −9.84867 | + | 2.63894i | −0.0208217 | + | 0.00557916i | ||||
\(474\) | 204.813 | − | 118.249i | 0.432096 | − | 0.249471i | ||||
\(475\) | 173.633 | + | 446.212i | 0.365543 | + | 0.939393i | ||||
\(476\) | −32.5173 | − | 21.8621i | −0.0683137 | − | 0.0459288i | ||||
\(477\) | 17.2086 | − | 17.2086i | 0.0360768 | − | 0.0360768i | ||||
\(478\) | 78.4512 | − | 292.784i | 0.164124 | − | 0.612518i | ||||
\(479\) | −225.668 | − | 130.289i | −0.471123 | − | 0.272003i | 0.245587 | − | 0.969375i | \(-0.421019\pi\) |
−0.716710 | + | 0.697372i | \(0.754353\pi\) | |||||||
\(480\) | −16.2474 | + | 46.2171i | −0.0338487 | + | 0.0962857i | ||||
\(481\) | −147.250 | − | 255.044i | −0.306132 | − | 0.530236i | ||||
\(482\) | 17.9516 | − | 17.9516i | 0.0372439 | − | 0.0372439i | ||||
\(483\) | 415.007 | + | 142.200i | 0.859228 | + | 0.294411i | ||||
\(484\) | 227.800i | 0.470661i | ||||||||
\(485\) | −308.044 | − | 23.5342i | −0.635142 | − | 0.0485241i | ||||
\(486\) | 11.0227 | − | 19.0919i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | 122.604 | + | 457.565i | 0.251754 | + | 0.939558i | 0.969868 | + | 0.243632i | \(0.0783390\pi\) |
−0.718114 | + | 0.695925i | \(0.754994\pi\) | |||||||
\(488\) | −51.2780 | + | 191.372i | −0.105078 | + | 0.392156i | ||||
\(489\) | 100.796i | 0.206127i | ||||||||
\(490\) | 73.1994 | − | 338.662i | 0.149386 | − | 0.691147i | ||||
\(491\) | 149.141 | 0.303750 | 0.151875 | − | 0.988400i | \(-0.451469\pi\) | ||||
0.151875 | + | 0.988400i | \(0.451469\pi\) | |||||||
\(492\) | −3.94816 | − | 1.05791i | −0.00802471 | − | 0.00215022i | ||||
\(493\) | 33.7118 | − | 9.03304i | 0.0683809 | − | 0.0183226i | ||||
\(494\) | −303.881 | − | 175.446i | −0.615144 | − | 0.355154i | ||||
\(495\) | −30.3328 | + | 26.0270i | −0.0612784 | + | 0.0525798i | ||||
\(496\) | 42.7026 | 0.0860939 | ||||||||
\(497\) | −150.379 | + | 438.876i | −0.302574 | + | 0.883050i | ||||
\(498\) | −204.527 | − | 204.527i | −0.410697 | − | 0.410697i | ||||
\(499\) | −298.044 | + | 172.076i | −0.597282 | + | 0.344841i | −0.767971 | − | 0.640484i | \(-0.778734\pi\) |
0.170690 | + | 0.985325i | \(0.445400\pi\) | |||||||
\(500\) | −249.863 | + | 8.26042i | −0.499727 | + | 0.0165208i | ||||
\(501\) | 163.249 | − | 282.756i | 0.325847 | − | 0.564384i | ||||
\(502\) | 272.042 | + | 72.8933i | 0.541916 | + | 0.145206i | ||||
\(503\) | −392.676 | − | 392.676i | −0.780667 | − | 0.780667i | 0.199276 | − | 0.979943i | \(-0.436141\pi\) |
−0.979943 | + | 0.199276i | \(0.936141\pi\) | |||||||
\(504\) | −33.1403 | + | 49.2922i | −0.0657545 | + | 0.0978020i | ||||
\(505\) | 404.788 | − | 75.9820i | 0.801561 | − | 0.150459i | ||||
\(506\) | 68.1733 | + | 118.080i | 0.134730 | + | 0.233359i | ||||
\(507\) | −0.522476 | − | 1.94991i | −0.00103052 | − | 0.00384597i | ||||
\(508\) | −395.084 | + | 105.863i | −0.777725 | + | 0.208391i | ||||
\(509\) | 4.48117 | − | 2.58721i | 0.00880388 | − | 0.00508292i | −0.495592 | − | 0.868556i | \(-0.665049\pi\) |
0.504395 | + | 0.863473i | \(0.331715\pi\) | |||||||
\(510\) | −19.3507 | + | 28.2939i | −0.0379425 | + | 0.0554783i | ||||
\(511\) | 17.3002 | − | 252.870i | 0.0338556 | − | 0.494853i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 25.7570 | − | 96.1266i | 0.0502086 | − | 0.187381i | ||||
\(514\) | 39.9823 | + | 23.0838i | 0.0777866 | + | 0.0449101i | ||||
\(515\) | −317.711 | + | 152.434i | −0.616914 | + | 0.295989i | ||||
\(516\) | 6.62777 | + | 11.4796i | 0.0128445 | + | 0.0222473i | ||||
\(517\) | 139.906 | − | 139.906i | 0.270611 | − | 0.270611i | ||||
\(518\) | −169.616 | + | 147.894i | −0.327445 | + | 0.285509i | ||||
\(519\) | 273.073i | 0.526152i | ||||||||
\(520\) | 139.043 | − | 119.306i | 0.267391 | − | 0.229434i | ||||
\(521\) | 330.348 | − | 572.180i | 0.634065 | − | 1.09823i | −0.352647 | − | 0.935756i | \(-0.614718\pi\) |
0.986712 | − | 0.162477i | \(-0.0519484\pi\) | |||||||
\(522\) | −13.6930 | − | 51.1029i | −0.0262318 | − | 0.0978983i | ||||
\(523\) | 164.951 | − | 615.606i | 0.315394 | − | 1.17707i | −0.608228 | − | 0.793763i | \(-0.708119\pi\) |
0.923622 | − | 0.383305i | \(-0.125214\pi\) | |||||||
\(524\) | 304.607i | 0.581312i | ||||||||
\(525\) | −295.750 | − | 66.3869i | −0.563332 | − | 0.126451i | ||||
\(526\) | 89.0325 | 0.169263 | ||||||||
\(527\) | 28.8609 | + | 7.73326i | 0.0547646 | + | 0.0146741i | ||||
\(528\) | −17.8317 | + | 4.77798i | −0.0337721 | + | 0.00904920i | ||||
\(529\) | −675.669 | − | 390.098i | −1.27726 | − | 0.737425i | ||||
\(530\) | 37.3535 | + | 43.5331i | 0.0704782 | + | 0.0821379i | ||||
\(531\) | −324.282 | −0.610700 | ||||||||
\(532\) | −86.9132 | + | 253.653i | −0.163371 | + | 0.476792i | ||||
\(533\) | 10.8090 | + | 10.8090i | 0.0202796 | + | 0.0202796i | ||||
\(534\) | −308.054 | + | 177.855i | −0.576879 | + | 0.333061i | ||||
\(535\) | −272.647 | − | 568.265i | −0.509621 | − | 1.06218i | ||||
\(536\) | −24.6975 | + | 42.7773i | −0.0460774 | + | 0.0798084i | ||||
\(537\) | 191.375 | + | 51.2789i | 0.356379 | + | 0.0954914i | ||||
\(538\) | −294.092 | − | 294.092i | −0.546639 | − | 0.546639i | ||||
\(539\) | 120.909 | − | 49.2741i | 0.224321 | − | 0.0914176i | ||||
\(540\) | 42.8901 | + | 29.3332i | 0.0794261 | + | 0.0543208i | ||||
\(541\) | 363.828 | + | 630.169i | 0.672511 | + | 1.16482i | 0.977190 | + | 0.212368i | \(0.0681175\pi\) |
−0.304679 | + | 0.952455i | \(0.598549\pi\) | |||||||
\(542\) | −101.005 | − | 376.954i | −0.186355 | − | 0.695488i | ||||
\(543\) | −230.954 | + | 61.8839i | −0.425330 | + | 0.113967i | ||||
\(544\) | −13.7113 | + | 7.91621i | −0.0252046 | + | 0.0145519i | ||||
\(545\) | 199.226 | + | 1061.36i | 0.365552 | + | 1.94745i | ||||
\(546\) | 199.506 | − | 97.6772i | 0.365395 | − | 0.178896i | ||||
\(547\) | −157.847 | + | 157.847i | −0.288568 | + | 0.288568i | −0.836514 | − | 0.547946i | \(-0.815410\pi\) |
0.547946 | + | 0.836514i | \(0.315410\pi\) | |||||||
\(548\) | −126.983 | + | 473.906i | −0.231720 | + | 0.864793i | ||||
\(549\) | 181.987 | + | 105.070i | 0.331489 | + | 0.191385i | ||||
\(550\) | −55.7217 | − | 75.9606i | −0.101312 | − | 0.138110i | ||||
\(551\) | −119.413 | − | 206.830i | −0.216721 | − | 0.375372i | ||||
\(552\) | 125.341 | − | 125.341i | 0.227067 | − | 0.227067i | ||||
\(553\) | 129.956 | + | 663.238i | 0.235002 | + | 1.19935i | ||||
\(554\) | − | 469.561i | − | 0.847583i | ||||||
\(555\) | 128.198 | + | 149.406i | 0.230987 | + | 0.269200i | ||||
\(556\) | 137.703 | − | 238.509i | 0.247668 | − | 0.428973i | ||||
\(557\) | −67.5136 | − | 251.964i | −0.121209 | − | 0.452359i | 0.878467 | − | 0.477803i | \(-0.158567\pi\) |
−0.999676 | + | 0.0254439i | \(0.991900\pi\) | |||||||
\(558\) | 11.7227 | − | 43.7496i | 0.0210084 | − | 0.0784043i | ||||
\(559\) | − | 49.5732i | − | 0.0886820i | ||||||
\(560\) | −109.895 | − | 86.7358i | −0.196241 | − | 0.154885i | ||||
\(561\) | −12.9170 | −0.0230249 | ||||||||
\(562\) | −527.501 | − | 141.343i | −0.938613 | − | 0.251501i | ||||
\(563\) | −976.421 | + | 261.631i | −1.73432 | + | 0.464709i | −0.981171 | − | 0.193142i | \(-0.938132\pi\) |
−0.753148 | + | 0.657851i | \(0.771466\pi\) | |||||||
\(564\) | −222.764 | − | 128.613i | −0.394972 | − | 0.228037i | ||||
\(565\) | 16.5613 | − | 216.774i | 0.0293120 | − | 0.383671i | ||||
\(566\) | −220.644 | −0.389830 | ||||||||
\(567\) | 41.4032 | + | 47.4845i | 0.0730215 | + | 0.0837469i | ||||
\(568\) | 132.550 | + | 132.550i | 0.233363 | + | 0.233363i | ||||
\(569\) | 232.943 | − | 134.490i | 0.409391 | − | 0.236362i | −0.281137 | − | 0.959668i | \(-0.590712\pi\) |
0.690528 | + | 0.723306i | \(0.257378\pi\) | |||||||
\(570\) | 221.289 | + | 77.7931i | 0.388227 | + | 0.136479i | ||||
\(571\) | 30.3033 | − | 52.4869i | 0.0530706 | − | 0.0919209i | −0.838270 | − | 0.545256i | \(-0.816433\pi\) |
0.891340 | + | 0.453335i | \(0.149766\pi\) | |||||||
\(572\) | 66.6871 | + | 17.8687i | 0.116586 | + | 0.0312391i | ||||
\(573\) | 142.630 | + | 142.630i | 0.248918 | + | 0.248918i | ||||
\(574\) | 6.51726 | − | 9.69365i | 0.0113541 | − | 0.0168879i | ||||
\(575\) | 828.042 | + | 364.134i | 1.44007 | + | 0.633277i | ||||
\(576\) | 12.0000 | + | 20.7846i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −46.3613 | − | 173.023i | −0.0803488 | − | 0.299866i | 0.914044 | − | 0.405615i | \(-0.132943\pi\) |
−0.994393 | + | 0.105749i | \(0.966276\pi\) | |||||||
\(578\) | 384.081 | − | 102.914i | 0.664500 | − | 0.178052i | ||||
\(579\) | −394.886 | + | 227.988i | −0.682015 | + | 0.393761i | ||||
\(580\) | 122.559 | − | 23.0054i | 0.211309 | − | 0.0396644i | ||||
\(581\) | 742.385 | − | 363.469i | 1.27777 | − | 0.625592i | ||||
\(582\) | −107.021 | + | 107.021i | −0.183884 | + | 0.183884i | ||||
\(583\) | −5.59453 | + | 20.8791i | −0.00959610 | + | 0.0358131i | ||||
\(584\) | −88.6929 | − | 51.2069i | −0.151871 | − | 0.0876830i | ||||
\(585\) | −84.0610 | − | 175.204i | −0.143694 | − | 0.299494i | ||||
\(586\) | 86.2939 | + | 149.465i | 0.147259 | + | 0.255061i | ||||
\(587\) | 9.92331 | − | 9.92331i | 0.0169051 | − | 0.0169051i | −0.698604 | − | 0.715509i | \(-0.746195\pi\) |
0.715509 | + | 0.698604i | \(0.246195\pi\) | |||||||
\(588\) | −102.560 | − | 135.253i | −0.174422 | − | 0.230022i | ||||
\(589\) | − | 204.462i | − | 0.347134i | ||||||
\(590\) | 58.2249 | − | 762.118i | 0.0986862 | − | 1.29173i | ||||
\(591\) | 106.602 | − | 184.640i | 0.180375 | − | 0.312419i | ||||
\(592\) | 23.5342 | + | 87.8309i | 0.0397537 | + | 0.148363i | ||||
\(593\) | 63.6101 | − | 237.396i | 0.107268 | − | 0.400331i | −0.891324 | − | 0.453366i | \(-0.850223\pi\) |
0.998593 | + | 0.0530356i | \(0.0168897\pi\) | |||||||
\(594\) | 19.5805i | 0.0329638i | ||||||||
\(595\) | −58.5660 | − | 78.5227i | −0.0984303 | − | 0.131971i | ||||
\(596\) | 347.130 | 0.582433 | ||||||||
\(597\) | 633.425 | + | 169.726i | 1.06101 | + | 0.284298i | ||||
\(598\) | −640.327 | + | 171.575i | −1.07078 | + | 0.286915i | ||||
\(599\) | 415.536 | + | 239.910i | 0.693715 | + | 0.400517i | 0.805002 | − | 0.593272i | \(-0.202164\pi\) |
−0.111287 | + | 0.993788i | \(0.535497\pi\) | |||||||
\(600\) | −76.6391 | + | 95.5324i | −0.127732 | + | 0.159221i | ||||
\(601\) | 425.170 | 0.707437 | 0.353719 | − | 0.935352i | \(-0.384917\pi\) | ||||
0.353719 | + | 0.935352i | \(0.384917\pi\) | |||||||
\(602\) | −37.1739 | + | 7.28393i | −0.0617507 | + | 0.0120996i | ||||
\(603\) | 37.0462 | + | 37.0462i | 0.0614366 | + | 0.0614366i | ||||
\(604\) | 399.863 | − | 230.861i | 0.662024 | − | 0.382220i | ||||
\(605\) | −188.874 | + | 537.268i | −0.312188 | + | 0.888047i | ||||
\(606\) | 100.884 | − | 174.736i | 0.166476 | − | 0.288344i | ||||
\(607\) | 983.437 | + | 263.511i | 1.62016 | + | 0.434120i | 0.951048 | − | 0.309042i | \(-0.100008\pi\) |
0.669111 | + | 0.743163i | \(0.266675\pi\) | |||||||
\(608\) | 76.6086 | + | 76.6086i | 0.126001 | + | 0.126001i | ||||
\(609\) | 150.838 | + | 10.3196i | 0.247681 | + | 0.0169452i | ||||
\(610\) | −279.610 | + | 408.837i | −0.458377 | + | 0.670224i | ||||
\(611\) | 480.988 | + | 833.096i | 0.787215 | + | 1.36350i | ||||
\(612\) | 4.34630 | + | 16.2206i | 0.00710180 | + | 0.0265043i | ||||
\(613\) | 519.456 | − | 139.188i | 0.847400 | − | 0.227060i | 0.191110 | − | 0.981569i | \(-0.438791\pi\) |
0.656290 | + | 0.754509i | \(0.272125\pi\) | |||||||
\(614\) | 375.728 | − | 216.926i | 0.611934 | − | 0.353300i | ||||
\(615\) | −8.43463 | − | 5.76858i | −0.0137149 | − | 0.00937980i | ||||
\(616\) | 3.60089 | − | 52.6328i | 0.00584560 | − | 0.0854428i | ||||
\(617\) | 260.554 | − | 260.554i | 0.422292 | − | 0.422292i | −0.463700 | − | 0.885992i | \(-0.653479\pi\) |
0.885992 | + | 0.463700i | \(0.153479\pi\) | |||||||
\(618\) | −44.6808 | + | 166.751i | −0.0722991 | + | 0.269824i | ||||
\(619\) | 208.960 | + | 120.643i | 0.337577 | + | 0.194900i | 0.659200 | − | 0.751967i | \(-0.270895\pi\) |
−0.321623 | + | 0.946868i | \(0.604228\pi\) | |||||||
\(620\) | 100.714 | + | 35.4056i | 0.162443 | + | 0.0571058i | ||||
\(621\) | −94.0057 | − | 162.823i | −0.151378 | − | 0.262194i | ||||
\(622\) | −236.825 | + | 236.825i | −0.380748 | + | 0.380748i | ||||
\(623\) | −195.463 | − | 997.555i | −0.313745 | − | 1.60121i | ||||
\(624\) | − | 89.7555i | − | 0.143839i | ||||||
\(625\) | −596.154 | − | 187.685i | −0.953846 | − | 0.300295i | ||||
\(626\) | −256.586 | + | 444.421i | −0.409882 | + | 0.709937i | ||||
\(627\) | 22.8771 | + | 85.3787i | 0.0364867 | + | 0.136170i | ||||
\(628\) | −102.251 | + | 381.604i | −0.162819 | + | 0.607650i | ||||
\(629\) | 63.6232i | 0.101150i | ||||||||
\(630\) | −119.031 | + | 88.7789i | −0.188938 | + | 0.140919i | ||||
\(631\) | −477.838 | −0.757271 | −0.378635 | − | 0.925546i | \(-0.623607\pi\) | ||||
−0.378635 | + | 0.925546i | \(0.623607\pi\) | |||||||
\(632\) | 263.780 | + | 70.6795i | 0.417373 | + | 0.111835i | ||||
\(633\) | −471.969 | + | 126.464i | −0.745606 | + | 0.199785i | ||||
\(634\) | −512.831 | − | 296.083i | −0.808882 | − | 0.467008i | ||||
\(635\) | −1019.58 | − | 77.8948i | −1.60564 | − | 0.122669i | ||||
\(636\) | 28.1016 | 0.0441849 | ||||||||
\(637\) | 79.2579 | + | 629.832i | 0.124424 | + | 0.988748i | ||||
\(638\) | 33.2271 | + | 33.2271i | 0.0520801 | + | 0.0520801i | ||||
\(639\) | 172.187 | − | 99.4124i | 0.269464 | − | 0.155575i | ||||
\(640\) | −51.0020 | + | 24.4702i | −0.0796907 | + | 0.0382347i | ||||
\(641\) | 353.417 | − | 612.135i | 0.551352 | − | 0.954969i | −0.446825 | − | 0.894621i | \(-0.647446\pi\) |
0.998177 | − | 0.0603483i | \(-0.0192212\pi\) | |||||||
\(642\) | −298.255 | − | 79.9172i | −0.464571 | − | 0.124482i | ||||
\(643\) | −473.054 | − | 473.054i | −0.735698 | − | 0.735698i | 0.236044 | − | 0.971742i | \(-0.424149\pi\) |
−0.971742 | + | 0.236044i | \(0.924149\pi\) | |||||||
\(644\) | 222.746 | + | 454.958i | 0.345878 | + | 0.706456i | ||||
\(645\) | 6.11365 | + | 32.5700i | 0.00947853 | + | 0.0504961i | ||||
\(646\) | 37.9031 | + | 65.6501i | 0.0586736 | + | 0.101626i | ||||
\(647\) | 219.834 | + | 820.431i | 0.339774 | + | 1.26805i | 0.898600 | + | 0.438769i | \(0.144586\pi\) |
−0.558825 | + | 0.829285i | \(0.688748\pi\) | |||||||
\(648\) | 24.5885 | − | 6.58846i | 0.0379452 | − | 0.0101674i | ||||
\(649\) | 249.436 | − | 144.012i | 0.384339 | − | 0.221898i | ||||
\(650\) | 426.854 | − | 166.100i | 0.656698 | − | 0.255538i | ||||
\(651\) | 107.416 | + | 72.2178i | 0.165001 | + | 0.110934i | ||||
\(652\) | −82.2997 | + | 82.2997i | −0.126227 | + | 0.126227i | ||||
\(653\) | −91.9014 | + | 342.981i | −0.140737 | + | 0.525238i | 0.859171 | + | 0.511689i | \(0.170980\pi\) |
−0.999908 | + | 0.0135498i | \(0.995687\pi\) | |||||||
\(654\) | 458.161 | + | 264.520i | 0.700553 | + | 0.404464i | ||||
\(655\) | −252.556 | + | 718.419i | −0.385582 | + | 1.09682i | ||||
\(656\) | −2.35988 | − | 4.08744i | −0.00359738 | − | 0.00623085i | ||||
\(657\) | −76.8103 | + | 76.8103i | −0.116911 | + | 0.116911i | ||||
\(658\) | 554.049 | − | 483.092i | 0.842019 | − | 0.734183i | ||||
\(659\) | − | 477.254i | − | 0.724210i | −0.932137 | − | 0.362105i | \(-0.882058\pi\) | ||
0.932137 | − | 0.362105i | \(-0.117942\pi\) | |||||||
\(660\) | −46.0176 | − | 3.51569i | −0.0697237 | − | 0.00532680i | ||||
\(661\) | −34.1279 | + | 59.1113i | −0.0516308 | + | 0.0894271i | −0.890686 | − | 0.454620i | \(-0.849775\pi\) |
0.839055 | + | 0.544047i | \(0.183109\pi\) | |||||||
\(662\) | 100.958 | + | 376.781i | 0.152505 | + | 0.569156i | ||||
\(663\) | 16.2544 | − | 60.6621i | 0.0245164 | − | 0.0914964i | ||||
\(664\) | − | 333.991i | − | 0.502999i | ||||||
\(665\) | −415.294 | + | 526.182i | −0.624503 | + | 0.791250i | ||||
\(666\) | 96.4450 | 0.144812 | ||||||||
\(667\) | −435.824 | − | 116.779i | −0.653410 | − | 0.175081i | ||||
\(668\) | 364.162 | − | 97.5770i | 0.545153 | − | 0.146073i | ||||
\(669\) | −602.467 | − | 347.834i | −0.900548 | − | 0.519932i | ||||
\(670\) | −93.7168 | + | 80.4135i | −0.139876 | + | 0.120020i | ||||
\(671\) | −186.645 | −0.278160 | ||||||||
\(672\) | −67.3058 | + | 13.1880i | −0.100157 | + | 0.0196250i | ||||
\(673\) | −425.308 | − | 425.308i | −0.631958 | − | 0.631958i | 0.316601 | − | 0.948559i | \(-0.397458\pi\) |
−0.948559 | + | 0.316601i | \(0.897458\pi\) | |||||||
\(674\) | 611.533 | − | 353.069i | 0.907319 | − | 0.523841i | ||||
\(675\) | 76.8359 | + | 104.744i | 0.113831 | + | 0.155176i | ||||
\(676\) | 1.16549 | − | 2.01869i | 0.00172410 | − | 0.00298623i | ||||
\(677\) | 591.029 | + | 158.366i | 0.873012 | + | 0.233923i | 0.667390 | − | 0.744709i | \(-0.267412\pi\) |
0.205622 | + | 0.978631i | \(0.434078\pi\) | |||||||
\(678\) | −75.3116 | − | 75.3116i | −0.111079 | − | 0.111079i | ||||
\(679\) | −190.188 | − | 388.459i | −0.280100 | − | 0.572105i | ||||
\(680\) | −38.9016 | + | 7.30215i | −0.0572083 | + | 0.0107385i | ||||
\(681\) | −225.215 | − | 390.084i | −0.330712 | − | 0.572810i | ||||
\(682\) | 10.4120 | + | 38.8580i | 0.0152668 | + | 0.0569765i | ||||
\(683\) | −403.439 | + | 108.101i | −0.590687 | + | 0.158274i | −0.541767 | − | 0.840529i | \(-0.682245\pi\) |
−0.0489198 | + | 0.998803i | \(0.515578\pi\) | |||||||
\(684\) | 99.5175 | − | 57.4565i | 0.145493 | − | 0.0840007i | ||||
\(685\) | −692.415 | + | 1012.43i | −1.01083 | + | 1.47800i | ||||
\(686\) | 460.653 | − | 151.977i | 0.671506 | − | 0.221541i | ||||
\(687\) | −100.336 | + | 100.336i | −0.146049 | + | 0.146049i | ||||
\(688\) | −3.96153 | + | 14.7846i | −0.00575804 | + | 0.0214893i | ||||
\(689\) | −91.0146 | − | 52.5473i | −0.132097 | − | 0.0762661i | ||||
\(690\) | 399.540 | − | 191.695i | 0.579044 | − | 0.277819i | ||||
\(691\) | −303.668 | − | 525.968i | −0.439462 | − | 0.761170i | 0.558186 | − | 0.829716i | \(-0.311497\pi\) |
−0.997648 | + | 0.0685458i | \(0.978164\pi\) | |||||||
\(692\) | −222.963 | + | 222.963i | −0.322201 | + | 0.322201i | ||||
\(693\) | −52.9348 | − | 18.1379i | −0.0763849 | − | 0.0261730i | ||||
\(694\) | 841.453i | 1.21247i | ||||||||
\(695\) | 522.527 | − | 448.353i | 0.751837 | − | 0.645112i | ||||
\(696\) | 30.5451 | − | 52.9056i | 0.0438866 | − | 0.0760138i | ||||
\(697\) | −0.854730 | − | 3.18989i | −0.00122630 | − | 0.00457661i | ||||
\(698\) | −166.895 | + | 622.860i | −0.239104 | + | 0.892349i | ||||
\(699\) | 0.128962i | 0.000184495i | ||||||||
\(700\) | −187.274 | − | 295.683i | −0.267534 | − | 0.422405i | ||||
\(701\) | 483.579 | 0.689842 | 0.344921 | − | 0.938632i | \(-0.387906\pi\) | ||||
0.344921 | + | 0.938632i | \(0.387906\pi\) | |||||||
\(702\) | −91.9563 | − | 24.6396i | −0.130992 | − | 0.0350992i | ||||
\(703\) | 420.538 | − | 112.683i | 0.598204 | − | 0.160288i | ||||
\(704\) | −18.4607 | − | 10.6583i | −0.0262226 | − | 0.0151396i | ||||
\(705\) | −418.755 | − | 488.033i | −0.593979 | − | 0.692245i | ||||
\(706\) | 401.690 | 0.568966 | ||||||||
\(707\) | 378.938 | + | 434.597i | 0.535981 | + | 0.614705i | ||||
\(708\) | −264.775 | − | 264.775i | −0.373976 | − | 0.373976i | ||||
\(709\) | −744.478 | + | 429.824i | −1.05004 | + | 0.606240i | −0.922660 | − | 0.385614i | \(-0.873990\pi\) |
−0.127379 | + | 0.991854i | \(0.540656\pi\) | |||||||
\(710\) | 202.720 | + | 422.520i | 0.285521 | + | 0.595098i | ||||
\(711\) | 144.825 | − | 250.844i | 0.203692 | − | 0.352805i | ||||
\(712\) | −396.742 | − | 106.307i | −0.557223 | − | 0.149307i | ||||
\(713\) | −273.138 | − | 273.138i | −0.383082 | − | 0.383082i | ||||
\(714\) | −47.8775 | − | 3.27556i | −0.0670554 | − | 0.00458762i | ||||
\(715\) | 142.467 | + | 97.4352i | 0.199254 | + | 0.136273i | ||||
\(716\) | 114.388 | + | 198.126i | 0.159760 | + | 0.276713i | ||||
\(717\) | −96.0827 | − | 358.585i | −0.134007 | − | 0.500119i | ||||
\(718\) | 425.968 | − | 114.138i | 0.593271 | − | 0.158966i | ||||
\(719\) | −488.623 | + | 282.107i | −0.679587 | + | 0.392360i | −0.799699 | − | 0.600401i | \(-0.795008\pi\) |
0.120112 | + | 0.992760i | \(0.461674\pi\) | |||||||
\(720\) | 11.0692 | + | 58.9701i | 0.0153738 | + | 0.0819029i | ||||
\(721\) | −409.413 | − | 275.257i | −0.567841 | − | 0.381772i | ||||
\(722\) | 5.80524 | − | 5.80524i | 0.00804050 | − | 0.00804050i | ||||
\(723\) | 8.04747 | − | 30.0336i | 0.0111307 | − | 0.0415402i | ||||
\(724\) | −239.101 | − | 138.045i | −0.330250 | − | 0.190670i | ||||
\(725\) | 308.131 | + | 47.3581i | 0.425009 | + | 0.0653215i | ||||
\(726\) | 139.499 | + | 241.619i | 0.192147 | + | 0.332808i | ||||
\(727\) | 445.432 | − | 445.432i | 0.612699 | − | 0.612699i | −0.330949 | − | 0.943649i | \(-0.607369\pi\) |
0.943649 | + | 0.330949i | \(0.107369\pi\) | |||||||
\(728\) | 242.649 | + | 83.1426i | 0.333309 | + | 0.114207i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | −166.726 | − | 194.309i | −0.228392 | − | 0.266177i | ||||
\(731\) | −5.35487 | + | 9.27490i | −0.00732540 | + | 0.0126880i | ||||
\(732\) | 62.8024 | + | 234.382i | 0.0857957 | + | 0.320194i | ||||
\(733\) | 210.719 | − | 786.415i | 0.287475 | − | 1.07287i | −0.659537 | − | 0.751672i | \(-0.729247\pi\) |
0.947012 | − | 0.321199i | \(-0.104086\pi\) | |||||||
\(734\) | 326.656i | 0.445036i | ||||||||
\(735\) | −129.748 | − | 404.030i | −0.176527 | − | 0.549701i | ||||
\(736\) | 204.681 | 0.278099 | ||||||||
\(737\) | −44.9479 | − | 12.0437i | −0.0609876 | − | 0.0163416i | ||||
\(738\) | −4.83549 | + | 1.29567i | −0.00655215 | + | 0.00175564i | ||||
\(739\) | 1181.31 | + | 682.028i | 1.59852 | + | 0.922906i | 0.991773 | + | 0.128011i | \(0.0408594\pi\) |
0.606747 | + | 0.794895i | \(0.292474\pi\) | |||||||
\(740\) | −17.3167 | + | 226.662i | −0.0234010 | + | 0.306301i | ||||
\(741\) | −429.753 | −0.579964 | ||||||||
\(742\) | −26.0311 | + | 75.9709i | −0.0350824 | + | 0.102387i | ||||
\(743\) | −355.898 | − | 355.898i | −0.479002 | − | 0.479002i | 0.425810 | − | 0.904812i | \(-0.359989\pi\) |
−0.904812 | + | 0.425810i | \(0.859989\pi\) | |||||||
\(744\) | 45.2929 | − | 26.1499i | 0.0608776 | − | 0.0351477i | ||||
\(745\) | 818.709 | + | 287.812i | 1.09894 | + | 0.386325i | ||||
\(746\) | −383.086 | + | 663.525i | −0.513521 | + | 0.889444i | ||||
\(747\) | −342.181 | − | 91.6870i | −0.458073 | − | 0.122740i | ||||
\(748\) | −10.5466 | − | 10.5466i | −0.0140998 | − | 0.0140998i | ||||
\(749\) | 492.332 | − | 732.285i | 0.657319 | − | 0.977684i | ||||
\(750\) | −259.962 | + | 161.771i | −0.346616 | + | 0.215695i | ||||
\(751\) | −52.5404 | − | 91.0027i | −0.0699606 | − | 0.121175i | 0.828923 | − | 0.559363i | \(-0.188954\pi\) |
−0.898884 | + | 0.438187i | \(0.855621\pi\) | |||||||
\(752\) | −76.8741 | − | 286.898i | −0.102226 | − | 0.381513i | ||||
\(753\) | 333.182 | − | 89.2757i | 0.442472 | − | 0.118560i | ||||
\(754\) | −197.857 | + | 114.233i | −0.262410 | + | 0.151503i | ||||
\(755\) | 1134.49 | − | 212.953i | 1.50264 | − | 0.282057i | ||||
\(756\) | −4.96534 | + | 72.5765i | −0.00656792 | + | 0.0960006i | ||||
\(757\) | 352.398 | − | 352.398i | 0.465519 | − | 0.465519i | −0.434940 | − | 0.900459i | \(-0.643231\pi\) |
0.900459 | + | 0.434940i | \(0.143231\pi\) | |||||||
\(758\) | −166.229 | + | 620.377i | −0.219300 | + | 0.818439i | ||||
\(759\) | 144.617 | + | 83.4949i | 0.190537 | + | 0.110006i | ||||
\(760\) | 117.164 | + | 244.200i | 0.154164 | + | 0.321316i | ||||
\(761\) | 210.153 | + | 363.996i | 0.276154 | + | 0.478313i | 0.970426 | − | 0.241400i | \(-0.0776066\pi\) |
−0.694271 | + | 0.719713i | \(0.744273\pi\) | |||||||
\(762\) | −354.223 | + | 354.223i | −0.464860 | + | 0.464860i | ||||
\(763\) | −1139.52 | + | 993.582i | −1.49347 | + | 1.30220i | ||||
\(764\) | 232.914i | 0.304861i | ||||||||
\(765\) | −3.19805 | + | 41.8601i | −0.00418046 | + | 0.0547190i | ||||
\(766\) | 139.621 | − | 241.830i | 0.182272 | − | 0.315705i | ||||
\(767\) | 362.442 | + | 1352.65i | 0.472545 | + | 1.76356i | ||||
\(768\) | −7.17260 | + | 26.7685i | −0.00933933 | + | 0.0348548i | ||||
\(769\) | − | 187.682i | − | 0.244059i | −0.992526 | − | 0.122030i | \(-0.961060\pi\) | ||
0.992526 | − | 0.122030i | \(-0.0389403\pi\) | |||||||
\(770\) | 52.1316 | − | 121.149i | 0.0677034 | − | 0.157337i | ||||
\(771\) | 56.5435 | 0.0733379 | ||||||||
\(772\) | −508.575 | − | 136.272i | −0.658776 | − | 0.176518i | ||||
\(773\) | −96.9480 | + | 25.9771i | −0.125418 | + | 0.0336056i | −0.320982 | − | 0.947085i | \(-0.604013\pi\) |
0.195564 | + | 0.980691i | \(0.437346\pi\) | |||||||
\(774\) | 14.0596 | + | 8.11732i | 0.0181649 | + | 0.0104875i | ||||
\(775\) | 208.180 | + | 167.009i | 0.268620 | + | 0.215495i | ||||
\(776\) | −174.764 | −0.225211 | ||||||||
\(777\) | −89.3392 | + | 260.733i | −0.114980 | + | 0.335564i | ||||
\(778\) | −45.9855 | − | 45.9855i | −0.0591074 | − | 0.0591074i | ||||
\(779\) | −19.5708 | + | 11.2992i | −0.0251230 | + | 0.0145048i | ||||
\(780\) | 74.4181 | − | 211.689i | 0.0954078 | − | 0.271396i | ||||
\(781\) | −88.2971 | + | 152.935i | −0.113057 | + | 0.195820i | ||||
\(782\) | 138.335 | + | 37.0669i | 0.176899 | + | 0.0474001i | ||||
\(783\) | −45.8176 | − | 45.8176i | −0.0585155 | − | 0.0585155i | ||||
\(784\) | 26.6939 | − | 194.174i | 0.0340483 | − | 0.247671i | ||||
\(785\) | −557.555 | + | 815.239i | −0.710261 | + | 1.03852i | ||||
\(786\) | 186.533 | + | 323.085i | 0.237320 | + | 0.411050i | ||||
\(787\) | −25.9653 | − | 96.9040i | −0.0329928 | − | 0.123131i | 0.947465 | − | 0.319858i | \(-0.103635\pi\) |
−0.980458 | + | 0.196727i | \(0.936969\pi\) | |||||||
\(788\) | 237.798 | − | 63.7177i | 0.301774 | − | 0.0808601i | ||||
\(789\) | 94.4333 | − | 54.5211i | 0.119687 | − | 0.0691015i | ||||
\(790\) | 563.524 | + | 385.403i | 0.713322 | + | 0.487852i | ||||
\(791\) | 273.363 | − | 133.838i | 0.345592 | − | 0.169200i | ||||
\(792\) | −15.9874 | + | 15.9874i | −0.0201861 | + | 0.0201861i | ||||
\(793\) | 234.869 | − | 876.544i | 0.296178 | − | 1.10535i | ||||
\(794\) | 717.032 | + | 413.979i | 0.903064 | + | 0.521384i | ||||
\(795\) | 66.2778 | + | 23.2996i | 0.0833683 | + | 0.0293076i | ||||
\(796\) | 378.609 | + | 655.770i | 0.475639 | + | 0.823831i | ||||
\(797\) | 583.267 | − | 583.267i | 0.731828 | − | 0.731828i | −0.239154 | − | 0.970982i | \(-0.576870\pi\) |
0.970982 | + | 0.239154i | \(0.0768700\pi\) | |||||||
\(798\) | 63.1448 | + | 322.263i | 0.0791289 | + | 0.403838i | ||||
\(799\) | − | 207.824i | − | 0.260105i | ||||||
\(800\) | −140.577 | + | 15.4264i | −0.175722 | + | 0.0192829i | ||||
\(801\) | −217.827 | + | 377.287i | −0.271943 | + | 0.471020i | ||||
\(802\) | −149.289 | − | 557.155i | −0.186146 | − | 0.694707i | ||||
\(803\) | 24.9711 | − | 93.1932i | 0.0310972 | − | 0.116056i | ||||
\(804\) | 60.4963i | 0.0752441i | ||||||||
\(805\) | 148.133 | + | 1257.70i | 0.184016 | + | 1.56237i | ||||
\(806\) | −195.591 | −0.242669 | ||||||||
\(807\) | −492.025 | − | 131.838i | −0.609697 | − | 0.163368i | ||||
\(808\) | 225.043 | − | 60.3002i | 0.278519 | − | 0.0746289i | ||||
\(809\) | −400.303 | − | 231.115i | −0.494812 | − | 0.285680i | 0.231757 | − | 0.972774i | \(-0.425553\pi\) |
−0.726569 | + | 0.687094i | \(0.758886\pi\) | |||||||
\(810\) | 63.4547 | + | 4.84786i | 0.0783391 | + | 0.00598501i | ||||
\(811\) | 727.161 | 0.896622 | 0.448311 | − | 0.893878i | \(-0.352026\pi\) | ||||
0.448311 | + | 0.893878i | \(0.352026\pi\) | |||||||
\(812\) | 114.733 | + | 131.584i | 0.141296 | + | 0.162050i | ||||
\(813\) | −337.968 | − | 337.968i | −0.415705 | − | 0.415705i | ||||
\(814\) | −74.1850 | + | 42.8307i | −0.0911364 | + | 0.0526176i | ||||
\(815\) | −262.341 | + | 125.868i | −0.321891 | + | 0.154439i | ||||
\(816\) | −9.69534 | + | 16.7928i | −0.0118815 | + | 0.0205794i | ||||
\(817\) | 70.7894 | + | 18.9680i | 0.0866455 | + | 0.0232166i | ||||
\(818\) | −315.470 | − | 315.470i | −0.385660 | − | 0.385660i | ||||
\(819\) | 151.793 | − | 225.774i | 0.185339 | − | 0.275670i | ||||
\(820\) | −2.17683 | − | 11.5969i | −0.00265467 | − | 0.0141425i | ||||
\(821\) | 174.689 | + | 302.569i | 0.212775 | + | 0.368538i | 0.952582 | − | 0.304282i | \(-0.0984164\pi\) |
−0.739807 | + | 0.672819i | \(0.765083\pi\) | |||||||
\(822\) | 155.522 | + | 580.414i | 0.189199 | + | 0.706100i | ||||
\(823\) | 1237.17 | − | 331.498i | 1.50324 | − | 0.402792i | 0.589056 | − | 0.808093i | \(-0.299500\pi\) |
0.914183 | + | 0.405301i | \(0.132833\pi\) | |||||||
\(824\) | −172.634 | + | 99.6700i | −0.209507 | + | 0.120959i | ||||
\(825\) | −105.618 | − | 46.4459i | −0.128022 | − | 0.0562981i | ||||
\(826\) | 961.070 | − | 470.536i | 1.16352 | − | 0.569657i | ||||
\(827\) | −66.3759 | + | 66.3759i | −0.0802611 | + | 0.0802611i | −0.746098 | − | 0.665837i | \(-0.768075\pi\) |
0.665837 | + | 0.746098i | \(0.268075\pi\) | |||||||
\(828\) | 56.1888 | − | 209.699i | 0.0678609 | − | 0.253260i | ||||
\(829\) | 723.468 | + | 417.694i | 0.872699 | + | 0.503853i | 0.868244 | − | 0.496137i | \(-0.165249\pi\) |
0.00445501 | + | 0.999990i | \(0.498582\pi\) | |||||||
\(830\) | 276.919 | − | 787.721i | 0.333637 | − | 0.949062i | ||||
\(831\) | −287.546 | − | 498.044i | −0.346024 | − | 0.599332i | ||||
\(832\) | 73.2851 | − | 73.2851i | 0.0880830 | − | 0.0880830i | ||||
\(833\) | 53.2053 | − | 126.400i | 0.0638720 | − | 0.151741i | ||||
\(834\) | − | 337.303i | − | 0.404440i | ||||||
\(835\) | 939.782 | + | 71.7981i | 1.12549 | + | 0.0859858i | ||||
\(836\) | −51.0323 | + | 88.3905i | −0.0610434 | + | 0.105730i | ||||
\(837\) | −14.3573 | − | 53.5821i | −0.0171533 | − | 0.0640169i | ||||
\(838\) | −242.122 | + | 903.611i | −0.288928 | + | 1.07829i | ||||
\(839\) | − | 1320.93i | − | 1.57441i | −0.616689 | − | 0.787207i | \(-0.711527\pi\) | ||
0.616689 | − | 0.787207i | \(-0.288473\pi\) | |||||||
\(840\) | −169.676 | − | 24.7005i | −0.201995 | − | 0.0294054i | ||||
\(841\) | 685.500 | 0.815101 | ||||||||
\(842\) | −535.629 | − | 143.521i | −0.636139 | − | 0.170453i | ||||
\(843\) | −646.054 | + | 173.110i | −0.766375 | + | 0.205349i | ||||
\(844\) | −488.618 | − | 282.104i | −0.578931 | − | 0.334246i | ||||
\(845\) | 4.42256 | − | 3.79477i | 0.00523380 | − | 0.00449085i | ||||
\(846\) | −315.036 | −0.372383 | ||||||||
\(847\) | −782.422 | + | 153.309i | −0.923757 | + | 0.181003i | ||||
\(848\) | 22.9448 | + | 22.9448i | 0.0270576 | + | 0.0270576i | ||||
\(849\) | −234.028 | + | 135.116i | −0.275652 | + | 0.159148i | ||||
\(850\) | −97.8042 | − | 15.0320i | −0.115064 | − | 0.0176847i | ||||
\(851\) | 411.259 | − | 712.322i | 0.483266 | − | 0.837041i | ||||
\(852\) | 221.760 | + | 59.4205i | 0.260282 | + | 0.0697424i | ||||
\(853\) | −98.5485 | − | 98.5485i | −0.115532 | − | 0.115532i | 0.646977 | − | 0.762509i | \(-0.276033\pi\) |
−0.762509 | + | 0.646977i | \(0.776033\pi\) | |||||||
\(854\) | −691.813 | − | 47.3306i | −0.810085 | − | 0.0554222i | ||||
\(855\) | 282.351 | − | 52.9996i | 0.330235 | − | 0.0619878i | ||||
\(856\) | −178.272 | − | 308.776i | −0.208262 | − | 0.360720i | ||||
\(857\) | −58.1059 | − | 216.854i | −0.0678016 | − | 0.253039i | 0.923703 | − | 0.383109i | \(-0.125147\pi\) |
−0.991505 | + | 0.130070i | \(0.958480\pi\) | |||||||
\(858\) | 81.6747 | − | 21.8847i | 0.0951919 | − | 0.0255066i | ||||
\(859\) | −1277.65 | + | 737.654i | −1.48737 | + | 0.858736i | −0.999896 | − | 0.0144001i | \(-0.995416\pi\) |
−0.487477 | + | 0.873136i | \(0.662083\pi\) | |||||||
\(860\) | −21.6015 | + | 31.5851i | −0.0251181 | + | 0.0367268i | ||||
\(861\) | 0.976469 | − | 14.2727i | 0.00113411 | − | 0.0165768i | ||||
\(862\) | 43.6252 | − | 43.6252i | 0.0506093 | − | 0.0506093i | ||||
\(863\) | −40.4550 | + | 150.980i | −0.0468771 | + | 0.174948i | −0.985395 | − | 0.170282i | \(-0.945532\pi\) |
0.938518 | + | 0.345229i | \(0.112199\pi\) | |||||||
\(864\) | 25.4558 | + | 14.6969i | 0.0294628 | + | 0.0170103i | ||||
\(865\) | −710.724 | + | 340.997i | −0.821646 | + | 0.394216i | ||||
\(866\) | 527.265 | + | 913.250i | 0.608851 | + | 1.05456i | ||||
\(867\) | 344.357 | − | 344.357i | 0.397183 | − | 0.397183i | ||||
\(868\) | 28.7388 | + | 146.670i | 0.0331092 | + | 0.168975i | ||||
\(869\) | 257.264i | 0.296046i | ||||||||
\(870\) | 115.906 | − | 99.4528i | 0.133225 | − | 0.114314i | ||||
\(871\) | 113.122 | − | 195.934i | 0.129876 | − | 0.224953i | ||||
\(872\) | 158.108 | + | 590.067i | 0.181316 | + | 0.676682i | ||||
\(873\) | −47.9760 | + | 179.049i | −0.0549553 | + | 0.205096i | ||||
\(874\) | − | 980.020i | − | 1.12130i | ||||||
\(875\) | −196.530 | − | 852.644i | −0.224606 | − | 0.974450i | ||||
\(876\) | −125.431 | −0.143186 | ||||||||
\(877\) | −1117.68 | − | 299.481i | −1.27443 | − | 0.341483i | −0.442705 | − | 0.896668i | \(-0.645981\pi\) |
−0.831727 | + | 0.555185i | \(0.812648\pi\) | |||||||
\(878\) | 484.345 | − | 129.780i | 0.551646 | − | 0.147813i | ||||
\(879\) | 183.057 | + | 105.688i | 0.208256 | + | 0.120237i | ||||
\(880\) | −34.7027 | − | 40.4438i | −0.0394349 | − | 0.0459588i | ||||
\(881\) | −126.852 | −0.143986 | −0.0719929 | − | 0.997405i | \(-0.522936\pi\) | ||||
−0.0719929 | + | 0.997405i | \(0.522936\pi\) | |||||||
\(882\) | −191.607 | − | 80.6528i | −0.217241 | − | 0.0914430i | ||||
\(883\) | 268.615 | + | 268.615i | 0.304207 | + | 0.304207i | 0.842657 | − | 0.538450i | \(-0.180990\pi\) |
−0.538450 | + | 0.842657i | \(0.680990\pi\) | |||||||
\(884\) | 62.8020 | − | 36.2588i | 0.0710430 | − | 0.0410167i | ||||
\(885\) | −404.944 | − | 844.004i | −0.457563 | − | 0.953677i | ||||
\(886\) | −426.592 | + | 738.880i | −0.481481 | + | 0.833950i | ||||
\(887\) | −550.121 | − | 147.404i | −0.620204 | − | 0.166183i | −0.0649835 | − | 0.997886i | \(-0.520699\pi\) |
−0.555220 | + | 0.831703i | \(0.687366\pi\) | |||||||
\(888\) | 78.7470 | + | 78.7470i | 0.0886790 | + | 0.0886790i | ||||
\(889\) | −629.496 | − | 1285.75i | −0.708095 | − | 1.44628i | ||||
\(890\) | −847.579 | − | 579.673i | −0.952336 | − | 0.651318i | ||||
\(891\) | 11.9906 | + | 20.7683i | 0.0134574 | + | 0.0233089i | ||||
\(892\) | −207.907 | − | 775.918i | −0.233079 | − | 0.869863i | ||||
\(893\) | −1373.68 | + | 368.076i | −1.53827 | + | 0.412179i | ||||
\(894\) | 368.187 | − | 212.573i | 0.411842 | − | 0.237777i | ||||
\(895\) | 105.515 | + | 562.124i | 0.117894 | + | 0.628072i | ||||
\(896\) | −65.7230 | − | 44.1870i | −0.0733515 | − | 0.0493159i | ||||
\(897\) | −574.101 | + | 574.101i | −0.640024 | + | 0.640024i | ||||
\(898\) | 111.289 | − | 415.336i | 0.123930 | − | 0.462512i | ||||
\(899\) | −115.290 | − | 66.5625i | −0.128242 | − | 0.0740406i | ||||
\(900\) | −22.7866 | + | 148.259i | −0.0253185 | + | 0.164732i | ||||
\(901\) | 11.3523 | + | 19.6627i | 0.0125996 | + | 0.0218232i | ||||
\(902\) | 3.14404 | − | 3.14404i | 0.00348563 | − | 0.00348563i | ||||
\(903\) | −34.9684 | + | 30.4901i | −0.0387247 | + | 0.0337653i | ||||
\(904\) | − | 122.983i | − | 0.136043i | ||||||
\(905\) | −449.466 | − | 523.824i | −0.496647 | − | 0.578811i | ||||
\(906\) | 282.746 | − | 489.730i | 0.312081 | − | 0.540541i | ||||
\(907\) | −197.842 | − | 738.355i | −0.218128 | − | 0.814063i | −0.985042 | − | 0.172314i | \(-0.944876\pi\) |
0.766915 | − | 0.641749i | \(-0.221791\pi\) | |||||||
\(908\) | 134.615 | − | 502.389i | 0.148254 | − | 0.553292i | ||||
\(909\) | − | 247.115i | − | 0.271853i | ||||||
\(910\) | 503.354 | + | 397.277i | 0.553136 | + | 0.436569i | ||||
\(911\) | 1309.05 | 1.43693 | 0.718467 | − | 0.695561i | \(-0.244844\pi\) | ||||
0.718467 | + | 0.695561i | \(0.244844\pi\) | |||||||
\(912\) | 128.169 | + | 34.3427i | 0.140536 | + | 0.0376565i | ||||
\(913\) | 303.921 | − | 81.4355i | 0.332882 | − | 0.0891955i | ||||
\(914\) | −314.580 | − | 181.623i | −0.344179 | − | 0.198712i | ||||
\(915\) | −46.2107 | + | 604.862i | −0.0505035 | + | 0.661052i | ||||
\(916\) | −163.847 | −0.178873 | ||||||||
\(917\) | −1046.23 | + | 205.001i | −1.14093 | + | 0.223556i | ||||
\(918\) | 14.5430 | + | 14.5430i | 0.0158421 | + | 0.0158421i | ||||
\(919\) | −17.4000 | + | 10.0459i | −0.0189336 | + | 0.0109313i | −0.509437 | − | 0.860508i | \(-0.670146\pi\) |
0.490503 | + | 0.871439i | \(0.336813\pi\) | |||||||
\(920\) | 482.741 | + | 169.705i | 0.524719 | + | 0.184462i | ||||
\(921\) | 265.680 | − | 460.170i | 0.288469 | − | 0.499642i | ||||
\(922\) | −722.217 | − | 193.518i | −0.783316 | − | 0.209889i | ||||
\(923\) | −607.121 | − | 607.121i | −0.657769 | − | 0.657769i | ||||
\(924\) | −28.4115 | − | 58.0306i | −0.0307484 | − | 0.0628037i | ||||
\(925\) | −228.772 | + | 520.228i | −0.247321 | + | 0.562408i | ||||
\(926\) | −415.206 | − | 719.158i | −0.448386 | − | 0.776628i | ||||
\(927\) | 54.7226 | + | 204.228i | 0.0590320 | + | 0.220310i | ||||
\(928\) | 68.1372 | − | 18.2573i | 0.0734237 | − | 0.0196738i | ||||
\(929\) | 593.913 | − | 342.896i | 0.639304 | − | 0.369102i | −0.145042 | − | 0.989425i | \(-0.546332\pi\) |
0.784346 | + | 0.620323i | \(0.212999\pi\) | |||||||
\(930\) | 128.505 | − | 24.1214i | 0.138178 | − | 0.0259370i | ||||
\(931\) | −929.712 | − | 127.811i | −0.998616 | − | 0.137284i | ||||
\(932\) | −0.105297 | + | 0.105297i | −0.000112980 | + | 0.000112980i | ||||
\(933\) | −106.166 | + | 396.216i | −0.113790 | + | 0.424669i | ||||
\(934\) | −519.409 | − | 299.881i | −0.556113 | − | 0.321072i | ||||
\(935\) | −16.1299 | − | 33.6188i | −0.0172512 | − | 0.0359559i | ||||
\(936\) | −54.9638 | − | 95.2001i | −0.0587220 | − | 0.101710i | ||||
\(937\) | 950.723 | − | 950.723i | 1.01465 | − | 1.01465i | 0.0147549 | − | 0.999891i | \(-0.495303\pi\) |
0.999891 | − | 0.0147549i | \(-0.00469679\pi\) | |||||||
\(938\) | −163.548 | − | 56.0391i | −0.174358 | − | 0.0597431i | ||||
\(939\) | 628.506i | 0.669335i | ||||||||
\(940\) | 56.5648 | − | 740.389i | 0.0601753 | − | 0.787648i | ||||
\(941\) | −593.868 | + | 1028.61i | −0.631103 | + | 1.09310i | 0.356224 | + | 0.934401i | \(0.384064\pi\) |
−0.987327 | + | 0.158701i | \(0.949269\pi\) | |||||||
\(942\) | 125.231 | + | 467.368i | 0.132942 | + | 0.496144i | ||||
\(943\) | −11.0499 | + | 41.2388i | −0.0117178 | + | 0.0437315i | ||||
\(944\) | − | 432.376i | − | 0.458025i | ||||||
\(945\) | −71.8854 | + | 167.055i | −0.0760692 | + | 0.176778i | ||||
\(946\) | −14.4195 | −0.0152426 | ||||||||
\(947\) | 221.786 | + | 59.4273i | 0.234198 | + | 0.0627532i | 0.374009 | − | 0.927425i | \(-0.377983\pi\) |
−0.139811 | + | 0.990178i | \(0.544650\pi\) | |||||||
\(948\) | 323.063 | − | 86.5644i | 0.340783 | − | 0.0913126i | ||||
\(949\) | 406.242 | + | 234.544i | 0.428074 | + | 0.247148i | ||||
\(950\) | 73.8620 | + | 673.091i | 0.0777495 | + | 0.708516i | ||||
\(951\) | −725.253 | −0.762621 | ||||||||
\(952\) | −36.4174 | − | 41.7663i | −0.0382535 | − | 0.0438722i | ||||
\(953\) | 1044.99 | + | 1044.99i | 1.09653 | + | 1.09653i | 0.994813 | + | 0.101717i | \(0.0324337\pi\) |
0.101717 | + | 0.994813i | \(0.467566\pi\) | |||||||
\(954\) | 29.8062 | − | 17.2086i | 0.0312434 | − | 0.0180384i | ||||
\(955\) | −193.114 | + | 549.329i | −0.202213 | + | 0.575214i | ||||
\(956\) | 214.333 | − | 371.235i | 0.224197 | − | 0.388321i | ||||
\(957\) | 55.5901 | + | 14.8953i | 0.0580879 | + | 0.0155646i | ||||
\(958\) | −260.579 | − | 260.579i | −0.272003 | − | 0.272003i | ||||
\(959\) | −1713.18 | − | 117.208i | −1.78642 | − | 0.122219i | ||||
\(960\) | −39.1110 | + | 57.1868i | −0.0407406 | + | 0.0595696i | ||||
\(961\) | 423.515 | + | 733.550i | 0.440703 | + | 0.763319i | ||||
\(962\) | −107.794 | − | 402.293i | −0.112052 | − | 0.418184i | ||||
\(963\) | −365.286 | + | 97.8781i | −0.379321 | + | 0.101639i | ||||
\(964\) | 31.0930 | − | 17.9516i | 0.0322542 | − | 0.0186220i | ||||
\(965\) | −1086.49 | − | 743.069i | −1.12590 | − | 0.770019i | ||||
\(966\) | 514.861 | + | 346.152i | 0.532982 | + | 0.358336i | ||||
\(967\) | 12.1019 | − | 12.1019i | 0.0125149 | − | 0.0125149i | −0.700822 | − | 0.713337i | \(-0.747183\pi\) |
0.713337 | + | 0.700822i | \(0.247183\pi\) | |||||||
\(968\) | −83.3806 | + | 311.181i | −0.0861370 | + | 0.321468i | ||||
\(969\) | 80.4047 | + | 46.4217i | 0.0829770 | + | 0.0479068i | ||||
\(970\) | −412.182 | − | 144.900i | −0.424930 | − | 0.149382i | ||||
\(971\) | 157.069 | + | 272.051i | 0.161760 | + | 0.280176i | 0.935500 | − | 0.353327i | \(-0.114950\pi\) |
−0.773740 | + | 0.633503i | \(0.781616\pi\) | |||||||
\(972\) | 22.0454 | − | 22.0454i | 0.0226805 | − | 0.0226805i | ||||
\(973\) | 911.878 | + | 312.451i | 0.937181 | + | 0.321121i | ||||
\(974\) | 669.921i | 0.687804i | ||||||||
\(975\) | 351.031 | − | 437.569i | 0.360032 | − | 0.448789i | ||||
\(976\) | −140.094 | + | 242.650i | −0.143539 | + | 0.248617i | ||||
\(977\) | −416.307 | − | 1553.68i | −0.426107 | − | 1.59025i | −0.761494 | − | 0.648172i | \(-0.775534\pi\) |
0.335387 | − | 0.942081i | \(-0.391133\pi\) | |||||||
\(978\) | −36.8939 | + | 137.690i | −0.0377239 | + | 0.140787i | ||||
\(979\) | − | 386.943i | − | 0.395243i | ||||||
\(980\) | 223.951 | − | 435.828i | 0.228521 | − | 0.444722i | ||||
\(981\) | 647.938 | 0.660487 | ||||||||
\(982\) | 203.730 | + | 54.5894i | 0.207465 | + | 0.0555900i | ||||
\(983\) | 988.604 | − | 264.896i | 1.00570 | − | 0.269477i | 0.281869 | − | 0.959453i | \(-0.409046\pi\) |
0.723832 | + | 0.689976i | \(0.242379\pi\) | |||||||
\(984\) | −5.00607 | − | 2.89025i | −0.00508747 | − | 0.00293725i | ||||
\(985\) | 613.678 | + | 46.8842i | 0.623023 | + | 0.0475981i | ||||
\(986\) | 49.3575 | 0.0500583 | ||||||||
\(987\) | 291.825 | − | 851.681i | 0.295669 | − | 0.862899i | ||||
\(988\) | −350.892 | − | 350.892i | −0.355154 | − | 0.355154i | ||||
\(989\) | 119.906 | − | 69.2275i | 0.121239 | − | 0.0699975i | ||||
\(990\) | −50.9620 | + | 24.4510i | −0.0514767 | + | 0.0246980i | ||||
\(991\) | −128.671 | + | 222.864i | −0.129839 | + | 0.224888i | −0.923614 | − | 0.383324i | \(-0.874779\pi\) |
0.793775 | + | 0.608211i | \(0.208113\pi\) | |||||||
\(992\) | 58.3328 | + | 15.6302i | 0.0588032 | + | 0.0157563i | ||||
\(993\) | 337.813 | + | 337.813i | 0.340194 | + | 0.340194i | ||||
\(994\) | −366.061 | + | 544.473i | −0.368271 | + | 0.547760i | ||||
\(995\) | 349.240 | + | 1860.55i | 0.350995 | + | 1.86990i | ||||
\(996\) | −204.527 | − | 354.251i | −0.205349 | − | 0.355674i | ||||
\(997\) | −71.9807 | − | 268.636i | −0.0721973 | − | 0.269444i | 0.920386 | − | 0.391011i | \(-0.127875\pi\) |
−0.992583 | + | 0.121567i | \(0.961208\pi\) | |||||||
\(998\) | −470.119 | + | 125.968i | −0.471061 | + | 0.126220i | ||||
\(999\) | 102.295 | − | 59.0602i | 0.102398 | − | 0.0591194i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 210.3.v.b.193.7 | yes | 32 | |
5.2 | odd | 4 | inner | 210.3.v.b.67.3 | yes | 32 | |
7.2 | even | 3 | inner | 210.3.v.b.163.3 | yes | 32 | |
35.2 | odd | 12 | inner | 210.3.v.b.37.7 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.v.b.37.7 | ✓ | 32 | 35.2 | odd | 12 | inner | |
210.3.v.b.67.3 | yes | 32 | 5.2 | odd | 4 | inner | |
210.3.v.b.163.3 | yes | 32 | 7.2 | even | 3 | inner | |
210.3.v.b.193.7 | yes | 32 | 1.1 | even | 1 | trivial |