Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,4,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), 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: | \(0.649021010063\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.29283765625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 10x^{6} - 19x^{5} + 109x^{4} + 171x^{3} + 810x^{2} + 729x + 6561 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(2.86504 + 2.08157i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 11.4 |
Dual form | 11.4.c.a.3.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.747004 | + | 0.542730i | 0.264106 | + | 0.191884i | 0.711955 | − | 0.702225i | \(-0.247810\pi\) |
−0.447849 | + | 0.894109i | \(0.647810\pi\) | |||||||
\(3\) | −0.476313 | + | 1.46594i | −0.0916665 | + | 0.282120i | −0.986371 | − | 0.164539i | \(-0.947386\pi\) |
0.894704 | + | 0.446659i | \(0.147386\pi\) | |||||||
\(4\) | −2.20868 | − | 6.79761i | −0.276085 | − | 0.849701i | ||||
\(5\) | −7.05908 | + | 5.12872i | −0.631383 | + | 0.458727i | −0.856879 | − | 0.515518i | \(-0.827600\pi\) |
0.225496 | + | 0.974244i | \(0.427600\pi\) | |||||||
\(6\) | −1.15142 | + | 0.836554i | −0.0783440 | + | 0.0569203i | ||||
\(7\) | 0.239524 | + | 0.737179i | 0.0129331 | + | 0.0398039i | 0.957315 | − | 0.289047i | \(-0.0933385\pi\) |
−0.944382 | + | 0.328851i | \(0.893339\pi\) | |||||||
\(8\) | 4.32202 | − | 13.3018i | 0.191008 | − | 0.587862i | ||||
\(9\) | 19.9214 | + | 14.4737i | 0.737828 | + | 0.536063i | ||||
\(10\) | −8.05666 | −0.254774 | ||||||||
\(11\) | 32.3688 | + | 16.8303i | 0.887233 | + | 0.461321i | ||||
\(12\) | 11.0169 | 0.265026 | ||||||||
\(13\) | −52.2644 | − | 37.9723i | −1.11504 | − | 0.810124i | −0.131590 | − | 0.991304i | \(-0.542008\pi\) |
−0.983450 | + | 0.181180i | \(0.942008\pi\) | |||||||
\(14\) | −0.221164 | + | 0.680672i | −0.00422203 | + | 0.0129941i | ||||
\(15\) | −4.15607 | − | 12.7911i | −0.0715395 | − | 0.220176i | ||||
\(16\) | −35.8113 | + | 26.0184i | −0.559551 | + | 0.406538i | ||||
\(17\) | −56.7325 | + | 41.2186i | −0.809391 | + | 0.588057i | −0.913654 | − | 0.406493i | \(-0.866752\pi\) |
0.104263 | + | 0.994550i | \(0.466752\pi\) | |||||||
\(18\) | 7.02601 | + | 21.6238i | 0.0920025 | + | 0.283155i | ||||
\(19\) | 40.0535 | − | 123.272i | 0.483627 | − | 1.48845i | −0.350333 | − | 0.936625i | \(-0.613932\pi\) |
0.833960 | − | 0.551825i | \(-0.186068\pi\) | |||||||
\(20\) | 50.4542 | + | 36.6572i | 0.564096 | + | 0.409839i | ||||
\(21\) | −1.19475 | −0.0124150 | ||||||||
\(22\) | 15.0453 | + | 30.1398i | 0.145803 | + | 0.292083i | ||||
\(23\) | 103.308 | 0.936572 | 0.468286 | − | 0.883577i | \(-0.344872\pi\) | ||||
0.468286 | + | 0.883577i | \(0.344872\pi\) | |||||||
\(24\) | 17.4410 | + | 12.6716i | 0.148339 | + | 0.107774i | ||||
\(25\) | −15.1003 | + | 46.4740i | −0.120803 | + | 0.371792i | ||||
\(26\) | −18.4330 | − | 56.7309i | −0.139039 | − | 0.427917i | ||||
\(27\) | −64.3755 | + | 46.7715i | −0.458854 | + | 0.333377i | ||||
\(28\) | 4.48202 | − | 3.25638i | 0.0302508 | − | 0.0219785i | ||||
\(29\) | −21.2472 | − | 65.3921i | −0.136052 | − | 0.418724i | 0.859700 | − | 0.510799i | \(-0.170650\pi\) |
−0.995752 | + | 0.0920744i | \(0.970650\pi\) | |||||||
\(30\) | 3.83749 | − | 11.8106i | 0.0233542 | − | 0.0718770i | ||||
\(31\) | −4.63339 | − | 3.36636i | −0.0268446 | − | 0.0195037i | 0.574282 | − | 0.818658i | \(-0.305281\pi\) |
−0.601127 | + | 0.799154i | \(0.705281\pi\) | |||||||
\(32\) | −152.763 | −0.843903 | ||||||||
\(33\) | −40.0899 | + | 39.4343i | −0.211478 | + | 0.208019i | ||||
\(34\) | −64.7499 | −0.326604 | ||||||||
\(35\) | −5.47160 | − | 3.97535i | −0.0264248 | − | 0.0191988i | ||||
\(36\) | 54.3868 | − | 167.385i | 0.251791 | − | 0.774932i | ||||
\(37\) | 53.2416 | + | 163.861i | 0.236564 | + | 0.728069i | 0.996910 | + | 0.0785508i | \(0.0250293\pi\) |
−0.760346 | + | 0.649518i | \(0.774971\pi\) | |||||||
\(38\) | 96.8236 | − | 70.3464i | 0.413338 | − | 0.300308i | ||||
\(39\) | 80.5593 | − | 58.5298i | 0.330764 | − | 0.240314i | ||||
\(40\) | 37.7117 | + | 116.065i | 0.149069 | + | 0.458786i | ||||
\(41\) | −65.3332 | + | 201.075i | −0.248862 | + | 0.765917i | 0.746116 | + | 0.665816i | \(0.231917\pi\) |
−0.994977 | + | 0.100101i | \(0.968083\pi\) | |||||||
\(42\) | −0.892481 | − | 0.648426i | −0.00327888 | − | 0.00238224i | ||||
\(43\) | 300.793 | 1.06676 | 0.533378 | − | 0.845877i | \(-0.320922\pi\) | ||||
0.533378 | + | 0.845877i | \(0.320922\pi\) | |||||||
\(44\) | 42.9136 | − | 257.203i | 0.147033 | − | 0.881247i | ||||
\(45\) | −214.858 | −0.711758 | ||||||||
\(46\) | 77.1713 | + | 56.0682i | 0.247354 | + | 0.179713i | ||||
\(47\) | −59.0277 | + | 181.669i | −0.183193 | + | 0.563811i | −0.999913 | − | 0.0132245i | \(-0.995790\pi\) |
0.816719 | + | 0.577035i | \(0.195790\pi\) | |||||||
\(48\) | −21.0841 | − | 64.8901i | −0.0634005 | − | 0.195127i | ||||
\(49\) | 277.007 | − | 201.257i | 0.807600 | − | 0.586756i | ||||
\(50\) | −36.5029 | + | 26.5209i | −0.103246 | + | 0.0750124i | ||||
\(51\) | −33.4015 | − | 102.799i | −0.0917089 | − | 0.282251i | ||||
\(52\) | −142.686 | + | 439.141i | −0.380518 | + | 1.17111i | ||||
\(53\) | −519.068 | − | 377.125i | −1.34527 | − | 0.977398i | −0.999232 | − | 0.0391779i | \(-0.987526\pi\) |
−0.346040 | − | 0.938220i | \(-0.612474\pi\) | |||||||
\(54\) | −73.4730 | −0.185156 | ||||||||
\(55\) | −314.812 | + | 47.2041i | −0.771804 | + | 0.115727i | ||||
\(56\) | 10.8410 | 0.0258695 | ||||||||
\(57\) | 161.632 | + | 117.432i | 0.375590 | + | 0.272882i | ||||
\(58\) | 19.6185 | − | 60.3796i | 0.0444145 | − | 0.136694i | ||||
\(59\) | 16.0697 | + | 49.4574i | 0.0354592 | + | 0.109132i | 0.967219 | − | 0.253942i | \(-0.0817272\pi\) |
−0.931760 | + | 0.363074i | \(0.881727\pi\) | |||||||
\(60\) | −77.7692 | + | 56.5027i | −0.167333 | + | 0.121574i | ||||
\(61\) | 398.663 | − | 289.646i | 0.836780 | − | 0.607956i | −0.0846894 | − | 0.996407i | \(-0.526990\pi\) |
0.921469 | + | 0.388451i | \(0.126990\pi\) | |||||||
\(62\) | −1.63414 | − | 5.02936i | −0.00334735 | − | 0.0103021i | ||||
\(63\) | −5.89807 | + | 18.1524i | −0.0117950 | + | 0.0363014i | ||||
\(64\) | 172.376 | + | 125.238i | 0.336672 | + | 0.244606i | ||||
\(65\) | 563.687 | 1.07564 | ||||||||
\(66\) | −51.3495 | + | 7.69955i | −0.0957679 | + | 0.0143598i | ||||
\(67\) | −320.988 | −0.585298 | −0.292649 | − | 0.956220i | \(-0.594537\pi\) | ||||
−0.292649 | + | 0.956220i | \(0.594537\pi\) | |||||||
\(68\) | 405.491 | + | 294.607i | 0.723133 | + | 0.525387i | ||||
\(69\) | −49.2068 | + | 151.443i | −0.0858523 | + | 0.264226i | ||||
\(70\) | −1.92976 | − | 5.93920i | −0.00329501 | − | 0.0101410i | ||||
\(71\) | 147.737 | − | 107.337i | 0.246945 | − | 0.179416i | −0.457427 | − | 0.889247i | \(-0.651229\pi\) |
0.704372 | + | 0.709831i | \(0.251229\pi\) | |||||||
\(72\) | 278.627 | − | 202.434i | 0.456062 | − | 0.331349i | ||||
\(73\) | −64.2516 | − | 197.746i | −0.103015 | − | 0.317047i | 0.886245 | − | 0.463218i | \(-0.153305\pi\) |
−0.989259 | + | 0.146171i | \(0.953305\pi\) | |||||||
\(74\) | −49.1605 | + | 151.300i | −0.0772269 | + | 0.237680i | ||||
\(75\) | −60.9357 | − | 44.2724i | −0.0938167 | − | 0.0681618i | ||||
\(76\) | −926.421 | −1.39826 | ||||||||
\(77\) | −4.65384 | + | 27.8929i | −0.00688772 | + | 0.0412817i | ||||
\(78\) | 91.9439 | 0.133469 | ||||||||
\(79\) | −528.180 | − | 383.745i | −0.752214 | − | 0.546516i | 0.144298 | − | 0.989534i | \(-0.453908\pi\) |
−0.896512 | + | 0.443019i | \(0.853908\pi\) | |||||||
\(80\) | 119.353 | − | 367.332i | 0.166801 | − | 0.513362i | ||||
\(81\) | 167.549 | + | 515.663i | 0.229834 | + | 0.707357i | ||||
\(82\) | −157.933 | + | 114.745i | −0.212693 | + | 0.154531i | ||||
\(83\) | −972.740 | + | 706.737i | −1.28641 | + | 0.934632i | −0.999726 | − | 0.0233931i | \(-0.992553\pi\) |
−0.286684 | + | 0.958025i | \(0.592553\pi\) | |||||||
\(84\) | 2.63881 | + | 8.12143i | 0.00342760 | + | 0.0105491i | ||||
\(85\) | 189.080 | − | 581.930i | 0.241278 | − | 0.742578i | ||||
\(86\) | 224.694 | + | 163.249i | 0.281736 | + | 0.204693i | ||||
\(87\) | 105.981 | 0.130602 | ||||||||
\(88\) | 363.772 | − | 357.823i | 0.440662 | − | 0.433455i | ||||
\(89\) | 716.942 | 0.853885 | 0.426942 | − | 0.904279i | \(-0.359591\pi\) | ||||
0.426942 | + | 0.904279i | \(0.359591\pi\) | |||||||
\(90\) | −160.500 | − | 116.610i | −0.187979 | − | 0.136575i | ||||
\(91\) | 15.4738 | − | 47.6234i | 0.0178252 | − | 0.0548603i | ||||
\(92\) | −228.174 | − | 702.246i | −0.258573 | − | 0.795807i | ||||
\(93\) | 7.14183 | − | 5.18884i | 0.00796315 | − | 0.00578557i | ||||
\(94\) | −142.691 | + | 103.671i | −0.156569 | + | 0.113754i | ||||
\(95\) | 349.487 | + | 1075.61i | 0.377438 | + | 1.16163i | ||||
\(96\) | 72.7629 | − | 223.941i | 0.0773577 | − | 0.238082i | ||||
\(97\) | 508.361 | + | 369.346i | 0.532126 | + | 0.386612i | 0.821152 | − | 0.570709i | \(-0.193332\pi\) |
−0.289026 | + | 0.957321i | \(0.593332\pi\) | |||||||
\(98\) | 316.153 | 0.325881 | ||||||||
\(99\) | 401.234 | + | 803.779i | 0.407328 | + | 0.815989i | ||||
\(100\) | 349.264 | 0.349264 | ||||||||
\(101\) | −411.960 | − | 299.307i | −0.405857 | − | 0.294872i | 0.366065 | − | 0.930589i | \(-0.380705\pi\) |
−0.771922 | + | 0.635717i | \(0.780705\pi\) | |||||||
\(102\) | 30.8412 | − | 94.9195i | 0.0299386 | − | 0.0921415i | ||||
\(103\) | −54.0555 | − | 166.366i | −0.0517111 | − | 0.159150i | 0.921866 | − | 0.387509i | \(-0.126664\pi\) |
−0.973577 | + | 0.228358i | \(0.926664\pi\) | |||||||
\(104\) | −730.987 | + | 531.093i | −0.689223 | + | 0.500750i | ||||
\(105\) | 8.43382 | − | 6.12753i | 0.00783863 | − | 0.00569510i | ||||
\(106\) | −183.069 | − | 563.427i | −0.167747 | − | 0.516273i | ||||
\(107\) | 546.753 | − | 1682.73i | 0.493987 | − | 1.52034i | −0.324543 | − | 0.945871i | \(-0.605210\pi\) |
0.818530 | − | 0.574464i | \(-0.194790\pi\) | |||||||
\(108\) | 460.119 | + | 334.296i | 0.409954 | + | 0.297849i | ||||
\(109\) | −823.593 | −0.723724 | −0.361862 | − | 0.932232i | \(-0.617859\pi\) | ||||
−0.361862 | + | 0.932232i | \(0.617859\pi\) | |||||||
\(110\) | −260.785 | − | 135.596i | −0.226044 | − | 0.117533i | ||||
\(111\) | −265.570 | −0.227088 | ||||||||
\(112\) | −27.7579 | − | 20.1673i | −0.0234185 | − | 0.0170145i | ||||
\(113\) | −336.492 | + | 1035.62i | −0.280128 | + | 0.862146i | 0.707689 | + | 0.706525i | \(0.249738\pi\) |
−0.987817 | + | 0.155621i | \(0.950262\pi\) | |||||||
\(114\) | 57.0054 | + | 175.445i | 0.0468337 | + | 0.144139i | ||||
\(115\) | −729.257 | + | 529.837i | −0.591336 | + | 0.429631i | ||||
\(116\) | −397.582 | + | 288.860i | −0.318229 | + | 0.231207i | ||||
\(117\) | −491.577 | − | 1512.92i | −0.388430 | − | 1.19546i | ||||
\(118\) | −14.8379 | + | 45.6663i | −0.0115758 | + | 0.0356265i | ||||
\(119\) | −43.9742 | − | 31.9491i | −0.0338749 | − | 0.0246115i | ||||
\(120\) | −188.107 | −0.143098 | ||||||||
\(121\) | 764.481 | + | 1089.55i | 0.574366 | + | 0.818599i | ||||
\(122\) | 455.002 | 0.337655 | ||||||||
\(123\) | −263.645 | − | 191.549i | −0.193269 | − | 0.140418i | ||||
\(124\) | −12.6495 | + | 38.9312i | −0.00916097 | + | 0.0281946i | ||||
\(125\) | −468.799 | − | 1442.81i | −0.335445 | − | 1.03239i | ||||
\(126\) | −14.2577 | + | 10.3588i | −0.0100808 | + | 0.00732412i | ||||
\(127\) | 1015.52 | − | 737.819i | 0.709551 | − | 0.515519i | −0.173478 | − | 0.984838i | \(-0.555501\pi\) |
0.883029 | + | 0.469319i | \(0.155501\pi\) | |||||||
\(128\) | 438.445 | + | 1349.40i | 0.302761 | + | 0.931804i | ||||
\(129\) | −143.272 | + | 440.945i | −0.0977858 | + | 0.300954i | ||||
\(130\) | 421.076 | + | 305.930i | 0.284083 | + | 0.206399i | ||||
\(131\) | 1401.18 | 0.934519 | 0.467259 | − | 0.884120i | \(-0.345241\pi\) | ||||
0.467259 | + | 0.884120i | \(0.345241\pi\) | |||||||
\(132\) | 356.605 | + | 185.418i | 0.235140 | + | 0.122262i | ||||
\(133\) | 100.467 | 0.0655009 | ||||||||
\(134\) | −239.779 | − | 174.210i | −0.154581 | − | 0.112309i | ||||
\(135\) | 214.553 | − | 660.328i | 0.136784 | − | 0.420977i | ||||
\(136\) | 303.082 | + | 932.791i | 0.191096 | + | 0.588134i | ||||
\(137\) | 331.158 | − | 240.600i | 0.206516 | − | 0.150043i | −0.479720 | − | 0.877422i | \(-0.659262\pi\) |
0.686236 | + | 0.727379i | \(0.259262\pi\) | |||||||
\(138\) | −118.950 | + | 86.4225i | −0.0733748 | + | 0.0533099i | ||||
\(139\) | 183.982 | + | 566.240i | 0.112268 | + | 0.345524i | 0.991367 | − | 0.131114i | \(-0.0418554\pi\) |
−0.879100 | + | 0.476638i | \(0.841855\pi\) | |||||||
\(140\) | −14.9379 | + | 45.9741i | −0.00901772 | + | 0.0277537i | ||||
\(141\) | −238.200 | − | 173.062i | −0.142270 | − | 0.103365i | ||||
\(142\) | 168.615 | 0.0996468 | ||||||||
\(143\) | −1052.65 | − | 2108.74i | −0.615574 | − | 1.23316i | ||||
\(144\) | −1089.99 | −0.630783 | ||||||||
\(145\) | 485.363 | + | 352.637i | 0.277981 | + | 0.201965i | ||||
\(146\) | 59.3265 | − | 182.588i | 0.0336294 | − | 0.103501i | ||||
\(147\) | 163.089 | + | 501.937i | 0.0915059 | + | 0.281626i | ||||
\(148\) | 996.268 | − | 723.831i | 0.553329 | − | 0.402017i | ||||
\(149\) | −1755.64 | + | 1275.54i | −0.965283 | + | 0.701319i | −0.954372 | − | 0.298621i | \(-0.903473\pi\) |
−0.0109117 | + | 0.999940i | \(0.503473\pi\) | |||||||
\(150\) | −21.4912 | − | 66.1433i | −0.0116984 | − | 0.0360038i | ||||
\(151\) | −555.847 | + | 1710.72i | −0.299564 | + | 0.921963i | 0.682086 | + | 0.731272i | \(0.261073\pi\) |
−0.981650 | + | 0.190691i | \(0.938927\pi\) | |||||||
\(152\) | −1466.63 | − | 1065.57i | −0.782627 | − | 0.568612i | ||||
\(153\) | −1726.77 | −0.912427 | ||||||||
\(154\) | −18.6147 | + | 18.3103i | −0.00974037 | + | 0.00958107i | ||||
\(155\) | 49.9726 | 0.0258961 | ||||||||
\(156\) | −575.792 | − | 418.337i | −0.295514 | − | 0.214704i | ||||
\(157\) | −24.2312 | + | 74.5758i | −0.0123176 | + | 0.0379095i | −0.957026 | − | 0.290001i | \(-0.906344\pi\) |
0.944709 | + | 0.327910i | \(0.106344\pi\) | |||||||
\(158\) | −186.282 | − | 573.318i | −0.0937964 | − | 0.288676i | ||||
\(159\) | 800.081 | − | 581.293i | 0.399060 | − | 0.289934i | ||||
\(160\) | 1078.36 | − | 783.478i | 0.532826 | − | 0.387121i | ||||
\(161\) | 24.7447 | + | 76.1563i | 0.0121128 | + | 0.0372792i | ||||
\(162\) | −154.706 | + | 476.136i | −0.0750300 | + | 0.230918i | ||||
\(163\) | −266.032 | − | 193.283i | −0.127836 | − | 0.0928780i | 0.522030 | − | 0.852927i | \(-0.325175\pi\) |
−0.649866 | + | 0.760049i | \(0.725175\pi\) | |||||||
\(164\) | 1511.13 | 0.719508 | ||||||||
\(165\) | 80.7505 | − | 483.980i | 0.0380995 | − | 0.228350i | ||||
\(166\) | −1110.21 | −0.519089 | ||||||||
\(167\) | 2850.77 | + | 2071.21i | 1.32095 | + | 0.959729i | 0.999920 | + | 0.0126616i | \(0.00403042\pi\) |
0.321034 | + | 0.947068i | \(0.395970\pi\) | |||||||
\(168\) | −5.16372 | + | 15.8923i | −0.00237137 | + | 0.00729832i | ||||
\(169\) | 610.758 | + | 1879.72i | 0.277997 | + | 0.855585i | ||||
\(170\) | 457.075 | − | 332.084i | 0.206212 | − | 0.149822i | ||||
\(171\) | 2582.12 | − | 1876.02i | 1.15474 | − | 0.838965i | ||||
\(172\) | −664.355 | − | 2044.67i | −0.294515 | − | 0.906424i | ||||
\(173\) | −836.578 | + | 2574.72i | −0.367652 | + | 1.13152i | 0.580651 | + | 0.814152i | \(0.302798\pi\) |
−0.948304 | + | 0.317365i | \(0.897202\pi\) | |||||||
\(174\) | 79.1684 | + | 57.5192i | 0.0344927 | + | 0.0250604i | ||||
\(175\) | −37.8766 | −0.0163611 | ||||||||
\(176\) | −1597.07 | + | 239.471i | −0.683997 | + | 0.102561i | ||||
\(177\) | −80.1558 | −0.0340389 | ||||||||
\(178\) | 535.559 | + | 389.106i | 0.225516 | + | 0.163847i | ||||
\(179\) | 455.234 | − | 1401.07i | 0.190088 | − | 0.585032i | −0.809910 | − | 0.586554i | \(-0.800484\pi\) |
0.999999 | + | 0.00152166i | \(0.000484359\pi\) | |||||||
\(180\) | 474.552 | + | 1460.52i | 0.196506 | + | 0.604782i | ||||
\(181\) | 398.134 | − | 289.261i | 0.163498 | − | 0.118788i | −0.503028 | − | 0.864270i | \(-0.667781\pi\) |
0.666526 | + | 0.745482i | \(0.267781\pi\) | |||||||
\(182\) | 37.4056 | − | 27.1768i | 0.0152346 | − | 0.0110686i | ||||
\(183\) | 234.715 | + | 722.378i | 0.0948122 | + | 0.291802i | ||||
\(184\) | 446.498 | − | 1374.18i | 0.178893 | − | 0.550575i | ||||
\(185\) | −1216.23 | − | 883.644i | −0.483347 | − | 0.351172i | ||||
\(186\) | 8.15111 | 0.00321327 | ||||||||
\(187\) | −2530.08 | + | 379.371i | −0.989402 | + | 0.148355i | ||||
\(188\) | 1365.29 | 0.529647 | ||||||||
\(189\) | −49.8984 | − | 36.2533i | −0.0192041 | − | 0.0139526i | ||||
\(190\) | −322.698 | + | 993.162i | −0.123216 | + | 0.379219i | ||||
\(191\) | −399.844 | − | 1230.59i | −0.151475 | − | 0.466192i | 0.846312 | − | 0.532688i | \(-0.178818\pi\) |
−0.997787 | + | 0.0664961i | \(0.978818\pi\) | |||||||
\(192\) | −265.697 | + | 193.040i | −0.0998700 | + | 0.0725598i | ||||
\(193\) | 424.037 | − | 308.081i | 0.158149 | − | 0.114902i | −0.505896 | − | 0.862594i | \(-0.668838\pi\) |
0.664046 | + | 0.747692i | \(0.268838\pi\) | |||||||
\(194\) | 179.292 | + | 551.805i | 0.0663528 | + | 0.204213i | ||||
\(195\) | −268.491 | + | 826.332i | −0.0986004 | + | 0.303461i | ||||
\(196\) | −1979.89 | − | 1438.47i | −0.721533 | − | 0.524224i | ||||
\(197\) | −1177.35 | −0.425801 | −0.212900 | − | 0.977074i | \(-0.568291\pi\) | ||||
−0.212900 | + | 0.977074i | \(0.568291\pi\) | |||||||
\(198\) | −136.512 | + | 818.188i | −0.0489974 | + | 0.293667i | ||||
\(199\) | −3054.83 | −1.08820 | −0.544098 | − | 0.839022i | \(-0.683128\pi\) | ||||
−0.544098 | + | 0.839022i | \(0.683128\pi\) | |||||||
\(200\) | 552.924 | + | 401.723i | 0.195488 | + | 0.142031i | ||||
\(201\) | 152.891 | − | 470.550i | 0.0536522 | − | 0.165125i | ||||
\(202\) | −145.293 | − | 447.166i | −0.0506079 | − | 0.155755i | ||||
\(203\) | 43.1164 | − | 31.3259i | 0.0149073 | − | 0.0108308i | ||||
\(204\) | −625.017 | + | 454.101i | −0.214509 | + | 0.155850i | ||||
\(205\) | −570.064 | − | 1754.48i | −0.194220 | − | 0.597747i | ||||
\(206\) | 49.9120 | − | 153.613i | 0.0168812 | − | 0.0519551i | ||||
\(207\) | 2058.03 | + | 1495.25i | 0.691029 | + | 0.502062i | ||||
\(208\) | 2859.63 | 0.953269 | ||||||||
\(209\) | 3371.19 | − | 3316.06i | 1.11574 | − | 1.09750i | ||||
\(210\) | 9.62569 | 0.00316303 | ||||||||
\(211\) | −1379.08 | − | 1001.96i | −0.449953 | − | 0.326910i | 0.339624 | − | 0.940561i | \(-0.389700\pi\) |
−0.789577 | + | 0.613651i | \(0.789700\pi\) | |||||||
\(212\) | −1417.09 | + | 4361.37i | −0.459087 | + | 1.41292i | ||||
\(213\) | 86.9808 | + | 267.699i | 0.0279804 | + | 0.0861148i | ||||
\(214\) | 1321.70 | − | 960.268i | 0.422193 | − | 0.306741i | ||||
\(215\) | −2123.32 | + | 1542.68i | −0.673532 | + | 0.489349i | ||||
\(216\) | 343.914 | + | 1058.46i | 0.108335 | + | 0.333421i | ||||
\(217\) | 1.37180 | − | 4.22196i | 0.000429142 | − | 0.00132076i | ||||
\(218\) | −615.227 | − | 446.989i | −0.191140 | − | 0.138871i | ||||
\(219\) | 320.488 | 0.0988884 | ||||||||
\(220\) | 1016.19 | + | 2035.71i | 0.311417 | + | 0.623852i | ||||
\(221\) | 4530.25 | 1.37890 | ||||||||
\(222\) | −198.382 | − | 144.133i | −0.0599752 | − | 0.0435746i | ||||
\(223\) | 1422.26 | − | 4377.26i | 0.427092 | − | 1.31445i | −0.473886 | − | 0.880586i | \(-0.657149\pi\) |
0.900977 | − | 0.433866i | \(-0.142851\pi\) | |||||||
\(224\) | −36.5903 | − | 112.614i | −0.0109143 | − | 0.0335907i | ||||
\(225\) | −973.471 | + | 707.268i | −0.288436 | + | 0.209561i | ||||
\(226\) | −813.420 | + | 590.984i | −0.239415 | + | 0.173946i | ||||
\(227\) | 1015.88 | + | 3126.56i | 0.297032 | + | 0.914171i | 0.982531 | + | 0.186097i | \(0.0595840\pi\) |
−0.685499 | + | 0.728073i | \(0.740416\pi\) | |||||||
\(228\) | 441.266 | − | 1358.08i | 0.128174 | − | 0.394478i | ||||
\(229\) | 2387.40 | + | 1734.55i | 0.688925 | + | 0.500533i | 0.876307 | − | 0.481754i | \(-0.160000\pi\) |
−0.187382 | + | 0.982287i | \(0.560000\pi\) | |||||||
\(230\) | −832.316 | −0.238614 | ||||||||
\(231\) | −38.6726 | − | 20.1080i | −0.0110150 | − | 0.00572731i | ||||
\(232\) | −961.663 | −0.272139 | ||||||||
\(233\) | −2283.62 | − | 1659.14i | −0.642080 | − | 0.466498i | 0.218484 | − | 0.975840i | \(-0.429889\pi\) |
−0.860564 | + | 0.509342i | \(0.829889\pi\) | |||||||
\(234\) | 453.896 | − | 1396.95i | 0.126804 | − | 0.390262i | ||||
\(235\) | −515.046 | − | 1585.15i | −0.142970 | − | 0.440016i | ||||
\(236\) | 300.699 | − | 218.471i | 0.0829401 | − | 0.0602595i | ||||
\(237\) | 814.127 | − | 591.498i | 0.223136 | − | 0.162118i | ||||
\(238\) | −15.5092 | − | 47.7323i | −0.00422399 | − | 0.0130001i | ||||
\(239\) | 636.935 | − | 1960.28i | 0.172385 | − | 0.530545i | −0.827120 | − | 0.562026i | \(-0.810022\pi\) |
0.999504 | + | 0.0314806i | \(0.0100222\pi\) | |||||||
\(240\) | 481.637 | + | 349.930i | 0.129540 | + | 0.0941162i | ||||
\(241\) | −3089.45 | −0.825763 | −0.412881 | − | 0.910785i | \(-0.635478\pi\) | ||||
−0.412881 | + | 0.910785i | \(0.635478\pi\) | |||||||
\(242\) | −20.2636 | + | 1228.81i | −0.00538261 | + | 0.326408i | ||||
\(243\) | −2984.19 | −0.787803 | ||||||||
\(244\) | −2849.42 | − | 2070.22i | −0.747603 | − | 0.543166i | ||||
\(245\) | −923.220 | + | 2841.38i | −0.240744 | + | 0.740935i | ||||
\(246\) | −92.9841 | − | 286.176i | −0.0240994 | − | 0.0741703i | ||||
\(247\) | −6774.29 | + | 4921.81i | −1.74509 | + | 1.26788i | ||||
\(248\) | −64.8042 | + | 47.0830i | −0.0165930 | + | 0.0120555i | ||||
\(249\) | −572.706 | − | 1762.61i | −0.145758 | − | 0.448597i | ||||
\(250\) | 432.864 | − | 1332.22i | 0.109507 | − | 0.337028i | ||||
\(251\) | 3259.66 | + | 2368.28i | 0.819712 | + | 0.595555i | 0.916630 | − | 0.399737i | \(-0.130899\pi\) |
−0.0969183 | + | 0.995292i | \(0.530899\pi\) | |||||||
\(252\) | 136.420 | 0.0341017 | ||||||||
\(253\) | 3343.95 | + | 1738.70i | 0.830958 | + | 0.432060i | ||||
\(254\) | 1159.03 | 0.286316 | ||||||||
\(255\) | 763.013 | + | 554.362i | 0.187379 | + | 0.136139i | ||||
\(256\) | 121.897 | − | 375.159i | 0.0297599 | − | 0.0915917i | ||||
\(257\) | −1358.89 | − | 4182.25i | −0.329827 | − | 1.01510i | −0.969215 | − | 0.246218i | \(-0.920812\pi\) |
0.639388 | − | 0.768884i | \(-0.279188\pi\) | |||||||
\(258\) | −346.338 | + | 251.630i | −0.0835740 | + | 0.0607201i | ||||
\(259\) | −108.042 | + | 78.4971i | −0.0259205 | + | 0.0188323i | ||||
\(260\) | −1245.00 | − | 3831.72i | −0.296968 | − | 0.913975i | ||||
\(261\) | 523.194 | − | 1610.22i | 0.124080 | − | 0.381879i | ||||
\(262\) | 1046.69 | + | 760.464i | 0.246812 | + | 0.179319i | ||||
\(263\) | −914.661 | −0.214450 | −0.107225 | − | 0.994235i | \(-0.534197\pi\) | ||||
−0.107225 | + | 0.994235i | \(0.534197\pi\) | |||||||
\(264\) | 351.277 | + | 703.704i | 0.0818926 | + | 0.164053i | ||||
\(265\) | 5598.31 | 1.29774 | ||||||||
\(266\) | 75.0495 | + | 54.5266i | 0.0172992 | + | 0.0125686i | ||||
\(267\) | −341.489 | + | 1051.00i | −0.0782726 | + | 0.240898i | ||||
\(268\) | 708.960 | + | 2181.95i | 0.161592 | + | 0.497328i | ||||
\(269\) | 1430.97 | − | 1039.66i | 0.324341 | − | 0.235648i | −0.413685 | − | 0.910420i | \(-0.635758\pi\) |
0.738026 | + | 0.674773i | \(0.235758\pi\) | |||||||
\(270\) | 518.652 | − | 376.823i | 0.116904 | − | 0.0849359i | ||||
\(271\) | 1241.80 | + | 3821.86i | 0.278353 | + | 0.856684i | 0.988313 | + | 0.152441i | \(0.0487134\pi\) |
−0.709959 | + | 0.704243i | \(0.751287\pi\) | |||||||
\(272\) | 959.221 | − | 2952.18i | 0.213828 | − | 0.658096i | ||||
\(273\) | 62.4428 | + | 45.3673i | 0.0138433 | + | 0.0100577i | ||||
\(274\) | 377.957 | 0.0833330 | ||||||||
\(275\) | −1270.95 | + | 1250.17i | −0.278696 | + | 0.274138i | ||||
\(276\) | 1138.13 | 0.248216 | ||||||||
\(277\) | 5376.57 | + | 3906.30i | 1.16623 | + | 0.847318i | 0.990553 | − | 0.137129i | \(-0.0437876\pi\) |
0.175680 | + | 0.984447i | \(0.443788\pi\) | |||||||
\(278\) | −169.880 | + | 522.836i | −0.0366500 | + | 0.112797i | ||||
\(279\) | −43.5798 | − | 134.125i | −0.00935145 | − | 0.0287808i | ||||
\(280\) | −76.5276 | + | 55.6006i | −0.0163336 | + | 0.0118670i | ||||
\(281\) | −3545.96 | + | 2576.29i | −0.752792 | + | 0.546935i | −0.896691 | − | 0.442657i | \(-0.854036\pi\) |
0.143899 | + | 0.989592i | \(0.454036\pi\) | |||||||
\(282\) | −84.0100 | − | 258.556i | −0.0177402 | − | 0.0545986i | ||||
\(283\) | 1154.14 | − | 3552.07i | 0.242425 | − | 0.746108i | −0.753624 | − | 0.657306i | \(-0.771696\pi\) |
0.996049 | − | 0.0888023i | \(-0.0283039\pi\) | |||||||
\(284\) | −1055.94 | − | 767.184i | −0.220628 | − | 0.160296i | ||||
\(285\) | −1743.25 | −0.362319 | ||||||||
\(286\) | 358.144 | − | 2146.54i | 0.0740473 | − | 0.443803i | ||||
\(287\) | −163.877 | −0.0337050 | ||||||||
\(288\) | −3043.24 | − | 2211.04i | −0.622655 | − | 0.452386i | ||||
\(289\) | 1.40440 | − | 4.32230i | 0.000285854 | − | 0.000879768i | ||||
\(290\) | 171.181 | + | 526.842i | 0.0346625 | + | 0.106680i | ||||
\(291\) | −783.578 | + | 569.303i | −0.157849 | + | 0.114684i | ||||
\(292\) | −1202.29 | + | 873.515i | −0.240954 | + | 0.175064i | ||||
\(293\) | −690.705 | − | 2125.77i | −0.137718 | − | 0.423853i | 0.858285 | − | 0.513174i | \(-0.171530\pi\) |
−0.996003 | + | 0.0893208i | \(0.971530\pi\) | |||||||
\(294\) | −150.588 | + | 463.462i | −0.0298723 | + | 0.0919376i | ||||
\(295\) | −367.090 | − | 266.707i | −0.0724502 | − | 0.0526382i | ||||
\(296\) | 2409.75 | 0.473190 | ||||||||
\(297\) | −2870.94 | + | 430.480i | −0.560905 | + | 0.0841043i | ||||
\(298\) | −2003.74 | −0.389509 | ||||||||
\(299\) | −5399.31 | − | 3922.83i | −1.04432 | − | 0.758740i | ||||
\(300\) | −166.359 | + | 512.001i | −0.0320158 | + | 0.0985345i | ||||
\(301\) | 72.0471 | + | 221.738i | 0.0137964 | + | 0.0424611i | ||||
\(302\) | −1343.68 | + | 976.240i | −0.256027 | + | 0.186014i | ||||
\(303\) | 634.988 | − | 461.345i | 0.120393 | − | 0.0874706i | ||||
\(304\) | 1772.98 | + | 5456.66i | 0.334497 | + | 1.02948i | ||||
\(305\) | −1328.68 | + | 4089.26i | −0.249443 | + | 0.767706i | ||||
\(306\) | −1289.91 | − | 937.171i | −0.240977 | − | 0.175080i | ||||
\(307\) | 1022.51 | 0.190090 | 0.0950451 | − | 0.995473i | \(-0.469700\pi\) | ||||
0.0950451 | + | 0.995473i | \(0.469700\pi\) | |||||||
\(308\) | 199.884 | − | 29.9714i | 0.0369787 | − | 0.00554473i | ||||
\(309\) | 269.629 | 0.0496398 | ||||||||
\(310\) | 37.3297 | + | 27.1216i | 0.00683930 | + | 0.00496905i | ||||
\(311\) | 1643.78 | − | 5059.04i | 0.299711 | − | 0.922417i | −0.681887 | − | 0.731458i | \(-0.738840\pi\) |
0.981598 | − | 0.190959i | \(-0.0611597\pi\) | |||||||
\(312\) | −430.372 | − | 1324.55i | −0.0780931 | − | 0.240346i | ||||
\(313\) | 5657.83 | − | 4110.65i | 1.02172 | − | 0.742325i | 0.0550879 | − | 0.998482i | \(-0.482456\pi\) |
0.966635 | + | 0.256156i | \(0.0824561\pi\) | |||||||
\(314\) | −58.5753 | + | 42.5574i | −0.0105274 | + | 0.00764858i | ||||
\(315\) | −51.4636 | − | 158.389i | −0.00920522 | − | 0.0283308i | ||||
\(316\) | −1441.97 | + | 4437.93i | −0.256700 | + | 0.790042i | ||||
\(317\) | −3490.64 | − | 2536.10i | −0.618467 | − | 0.449343i | 0.233919 | − | 0.972256i | \(-0.424845\pi\) |
−0.852386 | + | 0.522913i | \(0.824845\pi\) | |||||||
\(318\) | 913.149 | 0.161028 | ||||||||
\(319\) | 412.823 | − | 2474.26i | 0.0724566 | − | 0.434270i | ||||
\(320\) | −1859.13 | −0.324776 | ||||||||
\(321\) | 2206.36 | + | 1603.01i | 0.383636 | + | 0.278728i | ||||
\(322\) | −22.8479 | + | 70.3187i | −0.00395424 | + | 0.0121699i | ||||
\(323\) | 2808.76 | + | 8644.48i | 0.483850 | + | 1.48914i | ||||
\(324\) | 3135.22 | − | 2277.87i | 0.537588 | − | 0.390581i | ||||
\(325\) | 2553.93 | − | 1855.54i | 0.435898 | − | 0.316698i | ||||
\(326\) | −93.8260 | − | 288.767i | −0.0159403 | − | 0.0490592i | ||||
\(327\) | 392.288 | − | 1207.34i | 0.0663412 | − | 0.204177i | ||||
\(328\) | 2392.29 | + | 1738.10i | 0.402719 | + | 0.292593i | ||||
\(329\) | −148.061 | −0.0248111 | ||||||||
\(330\) | 322.991 | − | 317.709i | 0.0538790 | − | 0.0529978i | ||||
\(331\) | −3886.73 | −0.645420 | −0.322710 | − | 0.946498i | \(-0.604594\pi\) | ||||
−0.322710 | + | 0.946498i | \(0.604594\pi\) | |||||||
\(332\) | 6952.59 | + | 5051.35i | 1.14932 | + | 0.835027i | ||||
\(333\) | −1311.03 | + | 4034.93i | −0.215748 | + | 0.664003i | ||||
\(334\) | 1005.43 | + | 3094.40i | 0.164715 | + | 0.506940i | ||||
\(335\) | 2265.88 | − | 1646.26i | 0.369547 | − | 0.268492i | ||||
\(336\) | 42.7855 | − | 31.0855i | 0.00694684 | − | 0.00504718i | ||||
\(337\) | −2812.70 | − | 8656.61i | −0.454652 | − | 1.39928i | −0.871543 | − | 0.490319i | \(-0.836880\pi\) |
0.416891 | − | 0.908956i | \(-0.363120\pi\) | |||||||
\(338\) | −563.942 | + | 1735.64i | −0.0907527 | + | 0.279308i | ||||
\(339\) | −1357.88 | − | 986.554i | −0.217551 | − | 0.158060i | ||||
\(340\) | −4373.35 | −0.697583 | ||||||||
\(341\) | −93.3207 | − | 186.947i | −0.0148199 | − | 0.0296883i | ||||
\(342\) | 2947.03 | 0.465957 | ||||||||
\(343\) | 429.801 | + | 312.269i | 0.0676591 | + | 0.0491572i | ||||
\(344\) | 1300.03 | − | 4001.09i | 0.203759 | − | 0.627105i | ||||
\(345\) | −429.354 | − | 1321.42i | −0.0670019 | − | 0.206211i | ||||
\(346\) | −2022.30 | + | 1469.29i | −0.314219 | + | 0.228293i | ||||
\(347\) | 8213.72 | − | 5967.62i | 1.27071 | − | 0.923223i | 0.271477 | − | 0.962445i | \(-0.412488\pi\) |
0.999231 | + | 0.0392218i | \(0.0124879\pi\) | |||||||
\(348\) | −234.078 | − | 720.419i | −0.0360572 | − | 0.110973i | ||||
\(349\) | −3297.87 | + | 10149.8i | −0.505820 | + | 1.55675i | 0.293568 | + | 0.955938i | \(0.405157\pi\) |
−0.799388 | + | 0.600815i | \(0.794843\pi\) | |||||||
\(350\) | −28.2939 | − | 20.5567i | −0.00432107 | − | 0.00313944i | ||||
\(351\) | 5140.56 | 0.781718 | ||||||||
\(352\) | −4944.75 | − | 2571.05i | −0.748739 | − | 0.389310i | ||||
\(353\) | −9301.69 | −1.40249 | −0.701245 | − | 0.712920i | \(-0.747372\pi\) | ||||
−0.701245 | + | 0.712920i | \(0.747372\pi\) | |||||||
\(354\) | −59.8767 | − | 43.5029i | −0.00898986 | − | 0.00653151i | ||||
\(355\) | −492.383 | + | 1515.40i | −0.0736141 | + | 0.226561i | ||||
\(356\) | −1583.49 | − | 4873.50i | −0.235745 | − | 0.725547i | ||||
\(357\) | 67.7811 | − | 49.2458i | 0.0100486 | − | 0.00730074i | ||||
\(358\) | 1100.46 | − | 799.533i | 0.162462 | − | 0.118035i | ||||
\(359\) | 2594.94 | + | 7986.40i | 0.381492 | + | 1.17411i | 0.938993 | + | 0.343936i | \(0.111760\pi\) |
−0.557501 | + | 0.830176i | \(0.688240\pi\) | |||||||
\(360\) | −928.619 | + | 2858.00i | −0.135951 | + | 0.418416i | ||||
\(361\) | −8042.67 | − | 5843.34i | −1.17257 | − | 0.851924i | ||||
\(362\) | 454.398 | 0.0659742 | ||||||||
\(363\) | −1961.35 | + | 601.715i | −0.283593 | + | 0.0870024i | ||||
\(364\) | −357.902 | −0.0515362 | ||||||||
\(365\) | 1467.74 | + | 1066.38i | 0.210480 | + | 0.152922i | ||||
\(366\) | −216.723 | + | 667.006i | −0.0309517 | + | 0.0952595i | ||||
\(367\) | −2894.86 | − | 8909.46i | −0.411745 | − | 1.26722i | −0.915130 | − | 0.403158i | \(-0.867912\pi\) |
0.503385 | − | 0.864062i | \(-0.332088\pi\) | |||||||
\(368\) | −3699.59 | + | 2687.91i | −0.524060 | + | 0.380752i | ||||
\(369\) | −4211.82 | + | 3060.07i | −0.594197 | + | 0.431710i | ||||
\(370\) | −428.950 | − | 1320.17i | −0.0602704 | − | 0.185493i | ||||
\(371\) | 153.679 | − | 472.976i | 0.0215057 | − | 0.0661879i | ||||
\(372\) | −51.0457 | − | 37.0869i | −0.00711451 | − | 0.00516899i | ||||
\(373\) | 2639.31 | 0.366376 | 0.183188 | − | 0.983078i | \(-0.441358\pi\) | ||||
0.183188 | + | 0.983078i | \(0.441358\pi\) | |||||||
\(374\) | −2095.88 | − | 1089.76i | −0.289774 | − | 0.150669i | ||||
\(375\) | 2338.38 | 0.322008 | ||||||||
\(376\) | 2161.40 | + | 1570.35i | 0.296451 | + | 0.215385i | ||||
\(377\) | −1372.62 | + | 4224.48i | −0.187515 | + | 0.577113i | ||||
\(378\) | −17.5985 | − | 54.1628i | −0.00239463 | − | 0.00736992i | ||||
\(379\) | 5959.64 | − | 4329.93i | 0.807721 | − | 0.586843i | −0.105448 | − | 0.994425i | \(-0.533628\pi\) |
0.913169 | + | 0.407581i | \(0.133628\pi\) | |||||||
\(380\) | 6539.67 | − | 4751.35i | 0.882837 | − | 0.641419i | ||||
\(381\) | 597.893 | + | 1840.13i | 0.0803963 | + | 0.247434i | ||||
\(382\) | 369.195 | − | 1136.27i | 0.0494494 | − | 0.152189i | ||||
\(383\) | 2605.34 | + | 1892.89i | 0.347589 | + | 0.252538i | 0.747857 | − | 0.663860i | \(-0.231083\pi\) |
−0.400268 | + | 0.916398i | \(0.631083\pi\) | |||||||
\(384\) | −2186.97 | −0.290634 | ||||||||
\(385\) | −110.203 | − | 220.766i | −0.0145882 | − | 0.0292241i | ||||
\(386\) | 483.962 | 0.0638160 | ||||||||
\(387\) | 5992.20 | + | 4353.59i | 0.787082 | + | 0.571849i | ||||
\(388\) | 1387.86 | − | 4271.40i | 0.181593 | − | 0.558886i | ||||
\(389\) | 3778.65 | + | 11629.5i | 0.492507 | + | 1.51578i | 0.820807 | + | 0.571206i | \(0.193524\pi\) |
−0.328300 | + | 0.944574i | \(0.606476\pi\) | |||||||
\(390\) | −649.039 | + | 471.555i | −0.0842702 | + | 0.0612259i | ||||
\(391\) | −5860.91 | + | 4258.20i | −0.758053 | + | 0.550758i | ||||
\(392\) | −1479.85 | − | 4554.52i | −0.190673 | − | 0.586832i | ||||
\(393\) | −667.402 | + | 2054.05i | −0.0856640 | + | 0.263647i | ||||
\(394\) | −879.485 | − | 638.983i | −0.112456 | − | 0.0817044i | ||||
\(395\) | 5696.59 | 0.725636 | ||||||||
\(396\) | 4577.58 | − | 4502.72i | 0.580889 | − | 0.571389i | ||||
\(397\) | 8381.55 | 1.05959 | 0.529796 | − | 0.848125i | \(-0.322269\pi\) | ||||
0.529796 | + | 0.848125i | \(0.322269\pi\) | |||||||
\(398\) | −2281.97 | − | 1657.95i | −0.287399 | − | 0.208807i | ||||
\(399\) | −47.8539 | + | 147.279i | −0.00600424 | + | 0.0184791i | ||||
\(400\) | −668.419 | − | 2057.18i | −0.0835524 | − | 0.257148i | ||||
\(401\) | 3503.32 | − | 2545.31i | 0.436279 | − | 0.316975i | −0.347876 | − | 0.937541i | \(-0.613097\pi\) |
0.784154 | + | 0.620566i | \(0.213097\pi\) | |||||||
\(402\) | 369.592 | − | 268.524i | 0.0458546 | − | 0.0333153i | ||||
\(403\) | 114.333 | + | 351.881i | 0.0141323 | + | 0.0434949i | ||||
\(404\) | −1124.68 | + | 3461.42i | −0.138503 | + | 0.426267i | ||||
\(405\) | −3827.43 | − | 2780.79i | −0.469597 | − | 0.341182i | ||||
\(406\) | 49.2097 | 0.00601536 | ||||||||
\(407\) | −1034.46 | + | 6200.05i | −0.125986 | + | 0.755099i | ||||
\(408\) | −1511.78 | −0.183442 | ||||||||
\(409\) | −9657.95 | − | 7016.91i | −1.16762 | − | 0.848323i | −0.176895 | − | 0.984230i | \(-0.556605\pi\) |
−0.990722 | + | 0.135907i | \(0.956605\pi\) | |||||||
\(410\) | 526.367 | − | 1619.99i | 0.0634035 | − | 0.195136i | ||||
\(411\) | 194.971 | + | 600.059i | 0.0233995 | + | 0.0720164i | ||||
\(412\) | −1011.50 | + | 734.896i | −0.120954 | + | 0.0878780i | ||||
\(413\) | −32.6099 | + | 23.6924i | −0.00388529 | + | 0.00282283i | ||||
\(414\) | 725.841 | + | 2233.91i | 0.0861670 | + | 0.265195i | ||||
\(415\) | 3241.99 | − | 9977.82i | 0.383477 | − | 1.18022i | ||||
\(416\) | 7984.05 | + | 5800.75i | 0.940986 | + | 0.683667i | ||||
\(417\) | −917.707 | −0.107770 | ||||||||
\(418\) | 4318.02 | − | 647.461i | 0.505266 | − | 0.0757616i | ||||
\(419\) | −11888.5 | −1.38614 | −0.693070 | − | 0.720870i | \(-0.743743\pi\) | ||||
−0.693070 | + | 0.720870i | \(0.743743\pi\) | |||||||
\(420\) | −60.2801 | − | 43.7961i | −0.00700326 | − | 0.00508817i | ||||
\(421\) | −2622.15 | + | 8070.15i | −0.303553 | + | 0.934240i | 0.676660 | + | 0.736295i | \(0.263427\pi\) |
−0.980213 | + | 0.197944i | \(0.936573\pi\) | |||||||
\(422\) | −486.386 | − | 1496.94i | −0.0561063 | − | 0.172678i | ||||
\(423\) | −3805.33 | + | 2764.73i | −0.437403 | + | 0.317792i | ||||
\(424\) | −7259.86 | + | 5274.59i | −0.831533 | + | 0.604144i | ||||
\(425\) | −1058.91 | − | 3259.00i | −0.120859 | − | 0.371964i | ||||
\(426\) | −80.3135 | + | 247.179i | −0.00913427 | + | 0.0281124i | ||||
\(427\) | 309.010 | + | 224.509i | 0.0350212 | + | 0.0254444i | ||||
\(428\) | −12646.2 | −1.42821 | ||||||||
\(429\) | 3592.68 | − | 538.701i | 0.404327 | − | 0.0606264i | ||||
\(430\) | −2423.39 | −0.271782 | ||||||||
\(431\) | −9271.93 | − | 6736.45i | −1.03623 | − | 0.752862i | −0.0666800 | − | 0.997774i | \(-0.521241\pi\) |
−0.969545 | + | 0.244913i | \(0.921241\pi\) | |||||||
\(432\) | 1088.45 | − | 3349.90i | 0.121222 | − | 0.373083i | ||||
\(433\) | 1019.16 | + | 3136.66i | 0.113113 | + | 0.348125i | 0.991549 | − | 0.129735i | \(-0.0414126\pi\) |
−0.878436 | + | 0.477860i | \(0.841413\pi\) | |||||||
\(434\) | 3.31612 | − | 2.40931i | 0.000366772 | − | 0.000266475i | ||||
\(435\) | −748.129 | + | 543.548i | −0.0824599 | + | 0.0599106i | ||||
\(436\) | 1819.05 | + | 5598.47i | 0.199809 | + | 0.614949i | ||||
\(437\) | 4137.84 | − | 12735.0i | 0.452951 | − | 1.39404i | ||||
\(438\) | 239.406 | + | 173.938i | 0.0261170 | + | 0.0189751i | ||||
\(439\) | 5549.93 | 0.603380 | 0.301690 | − | 0.953406i | \(-0.402449\pi\) | ||||
0.301690 | + | 0.953406i | \(0.402449\pi\) | |||||||
\(440\) | −732.722 | + | 4391.58i | −0.0793890 | + | 0.475819i | ||||
\(441\) | 8431.29 | 0.910408 | ||||||||
\(442\) | 3384.11 | + | 2458.70i | 0.364176 | + | 0.264589i | ||||
\(443\) | 3362.36 | − | 10348.3i | 0.360611 | − | 1.10985i | −0.592073 | − | 0.805884i | \(-0.701690\pi\) |
0.952684 | − | 0.303962i | \(-0.0983097\pi\) | |||||||
\(444\) | 586.558 | + | 1805.24i | 0.0626955 | + | 0.192957i | ||||
\(445\) | −5060.95 | + | 3677.00i | −0.539128 | + | 0.391700i | ||||
\(446\) | 3438.10 | − | 2497.93i | 0.365020 | − | 0.265202i | ||||
\(447\) | −1033.64 | − | 3181.21i | −0.109372 | − | 0.336614i | ||||
\(448\) | −51.0350 | + | 157.069i | −0.00538209 | + | 0.0165644i | ||||
\(449\) | 6104.61 | + | 4435.26i | 0.641636 | + | 0.466176i | 0.860412 | − | 0.509599i | \(-0.170206\pi\) |
−0.218776 | + | 0.975775i | \(0.570206\pi\) | |||||||
\(450\) | −1111.04 | −0.116389 | ||||||||
\(451\) | −5498.91 | + | 5408.98i | −0.574132 | + | 0.564742i | ||||
\(452\) | 7782.91 | 0.809906 | ||||||||
\(453\) | −2243.06 | − | 1629.68i | −0.232645 | − | 0.169026i | ||||
\(454\) | −938.010 | + | 2886.90i | −0.0969669 | + | 0.298433i | ||||
\(455\) | 135.017 | + | 415.538i | 0.0139114 | + | 0.0428148i | ||||
\(456\) | 2260.63 | − | 1642.45i | 0.232158 | − | 0.168672i | ||||
\(457\) | 2620.61 | − | 1903.98i | 0.268242 | − | 0.194890i | −0.445530 | − | 0.895267i | \(-0.646985\pi\) |
0.713773 | + | 0.700377i | \(0.246985\pi\) | |||||||
\(458\) | 842.005 | + | 2591.43i | 0.0859046 | + | 0.264387i | ||||
\(459\) | 1724.33 | − | 5306.93i | 0.175348 | − | 0.539665i | ||||
\(460\) | 5212.32 | + | 3786.97i | 0.528316 | + | 0.383844i | ||||
\(461\) | −4837.43 | −0.488724 | −0.244362 | − | 0.969684i | \(-0.578578\pi\) | ||||
−0.244362 | + | 0.969684i | \(0.578578\pi\) | |||||||
\(462\) | −17.9754 | − | 36.0095i | −0.00181015 | − | 0.00362622i | ||||
\(463\) | 14089.7 | 1.41427 | 0.707133 | − | 0.707081i | \(-0.249988\pi\) | ||||
0.707133 | + | 0.707081i | \(0.249988\pi\) | |||||||
\(464\) | 2462.29 | + | 1788.96i | 0.246355 | + | 0.178988i | ||||
\(465\) | −23.8026 | + | 73.2568i | −0.00237380 | + | 0.00730582i | ||||
\(466\) | −805.402 | − | 2478.77i | −0.0800634 | − | 0.246410i | ||||
\(467\) | −11767.4 | + | 8549.52i | −1.16602 | + | 0.847162i | −0.990527 | − | 0.137319i | \(-0.956151\pi\) |
−0.175491 | + | 0.984481i | \(0.556151\pi\) | |||||||
\(468\) | −9198.49 | + | 6683.09i | −0.908548 | + | 0.660099i | ||||
\(469\) | −76.8844 | − | 236.626i | −0.00756970 | − | 0.0232971i | ||||
\(470\) | 475.567 | − | 1463.64i | 0.0466729 | − | 0.143644i | ||||
\(471\) | −97.7821 | − | 71.0429i | −0.00956595 | − | 0.00695007i | ||||
\(472\) | 727.326 | 0.0709277 | ||||||||
\(473\) | 9736.32 | + | 5062.44i | 0.946462 | + | 0.492117i | ||||
\(474\) | 929.179 | 0.0900393 | ||||||||
\(475\) | 5124.13 | + | 3722.90i | 0.494971 | + | 0.359617i | ||||
\(476\) | −120.053 | + | 369.485i | −0.0115601 | + | 0.0355784i | ||||
\(477\) | −4882.14 | − | 15025.7i | −0.468632 | − | 1.44230i | ||||
\(478\) | 1539.70 | − | 1118.66i | 0.147331 | − | 0.107042i | ||||
\(479\) | −2289.58 | + | 1663.47i | −0.218400 | + | 0.158677i | −0.691606 | − | 0.722275i | \(-0.743096\pi\) |
0.473206 | + | 0.880952i | \(0.343096\pi\) | |||||||
\(480\) | 634.893 | + | 1954.00i | 0.0603724 | + | 0.185807i | ||||
\(481\) | 3439.53 | − | 10585.8i | 0.326048 | − | 1.00347i | ||||
\(482\) | −2307.83 | − | 1676.74i | −0.218089 | − | 0.158451i | ||||
\(483\) | −123.427 | −0.0116276 | ||||||||
\(484\) | 5717.87 | − | 7603.12i | 0.536990 | − | 0.714042i | ||||
\(485\) | −5482.83 | −0.513325 | ||||||||
\(486\) | −2229.20 | − | 1619.61i | −0.208063 | − | 0.151167i | ||||
\(487\) | −5912.90 | + | 18198.0i | −0.550183 | + | 1.69329i | 0.158155 | + | 0.987414i | \(0.449445\pi\) |
−0.708338 | + | 0.705874i | \(0.750555\pi\) | |||||||
\(488\) | −2129.78 | − | 6554.79i | −0.197563 | − | 0.608036i | ||||
\(489\) | 410.056 | − | 297.923i | 0.0379210 | − | 0.0275512i | ||||
\(490\) | −2231.75 | + | 1621.46i | −0.205756 | + | 0.149490i | ||||
\(491\) | −3489.95 | − | 10740.9i | −0.320772 | − | 0.987235i | −0.973313 | − | 0.229481i | \(-0.926297\pi\) |
0.652541 | − | 0.757753i | \(-0.273703\pi\) | |||||||
\(492\) | −719.770 | + | 2215.22i | −0.0659547 | + | 0.202988i | ||||
\(493\) | 3900.77 | + | 2834.08i | 0.356353 | + | 0.258906i | ||||
\(494\) | −7731.64 | −0.704176 | ||||||||
\(495\) | −6954.70 | − | 3616.13i | −0.631496 | − | 0.328349i | ||||
\(496\) | 253.515 | 0.0229499 | ||||||||
\(497\) | 114.513 | + | 83.1986i | 0.0103352 | + | 0.00750899i | ||||
\(498\) | 528.806 | − | 1627.50i | 0.0475831 | − | 0.146446i | ||||
\(499\) | 267.665 | + | 823.790i | 0.0240127 | + | 0.0739036i | 0.962345 | − | 0.271832i | \(-0.0876295\pi\) |
−0.938332 | + | 0.345735i | \(0.887629\pi\) | |||||||
\(500\) | −8772.26 | + | 6373.42i | −0.784615 | + | 0.570056i | ||||
\(501\) | −4394.13 | + | 3192.52i | −0.391846 | + | 0.284693i | ||||
\(502\) | 1149.64 | + | 3538.22i | 0.102213 | + | 0.314579i | ||||
\(503\) | −1849.01 | + | 5690.65i | −0.163903 | + | 0.504441i | −0.998954 | − | 0.0457317i | \(-0.985438\pi\) |
0.835051 | + | 0.550173i | \(0.185438\pi\) | |||||||
\(504\) | 215.968 | + | 156.910i | 0.0190873 | + | 0.0138677i | ||||
\(505\) | 4443.12 | 0.391517 | ||||||||
\(506\) | 1554.30 | + | 3113.68i | 0.136555 | + | 0.273557i | ||||
\(507\) | −3046.47 | −0.266861 | ||||||||
\(508\) | −7258.37 | − | 5273.51i | −0.633933 | − | 0.460579i | ||||
\(509\) | 3419.92 | − | 10525.4i | 0.297810 | − | 0.916566i | −0.684453 | − | 0.729057i | \(-0.739959\pi\) |
0.982263 | − | 0.187509i | \(-0.0600412\pi\) | |||||||
\(510\) | 269.105 | + | 828.220i | 0.0233650 | + | 0.0719102i | ||||
\(511\) | 130.384 | − | 94.7298i | 0.0112874 | − | 0.00820078i | ||||
\(512\) | 9477.59 | − | 6885.87i | 0.818074 | − | 0.594366i | ||||
\(513\) | 3187.16 | + | 9809.07i | 0.274301 | + | 0.844212i | ||||
\(514\) | 1254.73 | − | 3861.66i | 0.107673 | − | 0.331383i | ||||
\(515\) | 1234.82 | + | 897.152i | 0.105656 | + | 0.0767636i | ||||
\(516\) | 3313.81 | 0.282718 | ||||||||
\(517\) | −4968.20 | + | 4886.95i | −0.422633 | + | 0.415721i | ||||
\(518\) | −123.311 | −0.0104594 | ||||||||
\(519\) | −3375.92 | − | 2452.75i | −0.285523 | − | 0.207444i | ||||
\(520\) | 2436.26 | − | 7498.05i | 0.205456 | − | 0.632329i | ||||
\(521\) | 4605.23 | + | 14173.4i | 0.387253 | + | 1.19184i | 0.934833 | + | 0.355088i | \(0.115549\pi\) |
−0.547580 | + | 0.836753i | \(0.684451\pi\) | |||||||
\(522\) | 1264.74 | − | 918.890i | 0.106047 | − | 0.0770474i | ||||
\(523\) | 1204.98 | − | 875.470i | 0.100746 | − | 0.0731963i | −0.536272 | − | 0.844045i | \(-0.680168\pi\) |
0.637018 | + | 0.770849i | \(0.280168\pi\) | |||||||
\(524\) | −3094.76 | − | 9524.70i | −0.258006 | − | 0.794062i | ||||
\(525\) | 18.0411 | − | 55.5248i | 0.00149977 | − | 0.00461581i | ||||
\(526\) | −683.255 | − | 496.414i | −0.0566375 | − | 0.0411496i | ||||
\(527\) | 401.620 | 0.0331971 | ||||||||
\(528\) | 409.654 | − | 2455.27i | 0.0337650 | − | 0.202371i | ||||
\(529\) | −1494.50 | −0.122832 | ||||||||
\(530\) | 4181.95 | + | 3038.37i | 0.342741 | + | 0.249016i | ||||
\(531\) | −395.702 | + | 1217.85i | −0.0323390 | + | 0.0995292i | ||||
\(532\) | −221.900 | − | 682.938i | −0.0180838 | − | 0.0556562i | ||||
\(533\) | 11049.9 | − | 8028.20i | 0.897979 | − | 0.652420i | ||||
\(534\) | −825.500 | + | 599.761i | −0.0668968 | + | 0.0486034i | ||||
\(535\) | 4770.69 | + | 14682.7i | 0.385523 | + | 1.18652i | ||||
\(536\) | −1387.32 | + | 4269.72i | −0.111797 | + | 0.344074i | ||||
\(537\) | 1837.05 | + | 1334.69i | 0.147625 | + | 0.107256i | ||||
\(538\) | 1633.19 | 0.130877 | ||||||||
\(539\) | 12353.6 | − | 1852.35i | 0.987212 | − | 0.148027i | ||||
\(540\) | −4962.53 | −0.395469 | ||||||||
\(541\) | −431.634 | − | 313.600i | −0.0343020 | − | 0.0249219i | 0.570502 | − | 0.821296i | \(-0.306749\pi\) |
−0.604804 | + | 0.796374i | \(0.706749\pi\) | |||||||
\(542\) | −1146.61 | + | 3528.90i | −0.0908692 | + | 0.279667i | ||||
\(543\) | 234.404 | + | 721.420i | 0.0185253 | + | 0.0570149i | ||||
\(544\) | 8666.62 | − | 6296.67i | 0.683048 | − | 0.496263i | ||||
\(545\) | 5813.81 | − | 4223.98i | 0.456947 | − | 0.331991i | ||||
\(546\) | 22.0228 | + | 67.7791i | 0.00172617 | + | 0.00531260i | ||||
\(547\) | −5716.57 | + | 17593.8i | −0.446842 | + | 1.37524i | 0.433609 | + | 0.901101i | \(0.357240\pi\) |
−0.880451 | + | 0.474138i | \(0.842760\pi\) | |||||||
\(548\) | −2366.93 | − | 1719.67i | −0.184508 | − | 0.134053i | ||||
\(549\) | 12134.2 | 0.943302 | ||||||||
\(550\) | −1627.91 | + | 244.095i | −0.126208 | + | 0.0189241i | ||||
\(551\) | −8912.04 | −0.689049 | ||||||||
\(552\) | 1801.79 | + | 1309.08i | 0.138930 | + | 0.100939i | ||||
\(553\) | 156.377 | − | 481.279i | 0.0120250 | − | 0.0370092i | ||||
\(554\) | 1896.25 | + | 5836.05i | 0.145422 | + | 0.447563i | ||||
\(555\) | 1874.68 | − | 1362.03i | 0.143380 | − | 0.104171i | ||||
\(556\) | 3442.72 | − | 2501.28i | 0.262597 | − | 0.190788i | ||||
\(557\) | −4865.09 | − | 14973.2i | −0.370091 | − | 1.13902i | −0.946732 | − | 0.322024i | \(-0.895637\pi\) |
0.576641 | − | 0.816998i | \(-0.304363\pi\) | |||||||
\(558\) | 40.2393 | − | 123.844i | 0.00305280 | − | 0.00939556i | ||||
\(559\) | −15720.8 | − | 11421.8i | −1.18948 | − | 0.864205i | ||||
\(560\) | 299.377 | 0.0225911 | ||||||||
\(561\) | 648.977 | − | 3889.65i | 0.0488410 | − | 0.292730i | ||||
\(562\) | −4047.08 | −0.303765 | ||||||||
\(563\) | −4880.11 | − | 3545.61i | −0.365314 | − | 0.265416i | 0.389951 | − | 0.920836i | \(-0.372492\pi\) |
−0.755265 | + | 0.655419i | \(0.772492\pi\) | |||||||
\(564\) | −650.303 | + | 2001.43i | −0.0485509 | + | 0.149424i | ||||
\(565\) | −2936.06 | − | 9036.26i | −0.218621 | − | 0.672846i | ||||
\(566\) | 2789.96 | − | 2027.02i | 0.207192 | − | 0.150534i | ||||
\(567\) | −340.004 | + | 247.027i | −0.0251831 | + | 0.0182966i | ||||
\(568\) | −789.255 | − | 2429.08i | −0.0583035 | − | 0.179440i | ||||
\(569\) | −4829.81 | + | 14864.6i | −0.355845 | + | 1.09518i | 0.599672 | + | 0.800246i | \(0.295298\pi\) |
−0.955518 | + | 0.294934i | \(0.904702\pi\) | |||||||
\(570\) | −1302.21 | − | 946.112i | −0.0956906 | − | 0.0695233i | ||||
\(571\) | −7252.67 | −0.531550 | −0.265775 | − | 0.964035i | \(-0.585628\pi\) | ||||
−0.265775 | + | 0.964035i | \(0.585628\pi\) | |||||||
\(572\) | −12009.4 | + | 11813.0i | −0.877867 | + | 0.863510i | ||||
\(573\) | 1994.43 | 0.145407 | ||||||||
\(574\) | −122.417 | − | 88.9409i | −0.00890169 | − | 0.00646746i | ||||
\(575\) | −1559.98 | + | 4801.13i | −0.113140 | + | 0.348210i | ||||
\(576\) | 1621.30 | + | 4989.84i | 0.117281 | + | 0.360955i | ||||
\(577\) | −10515.4 | + | 7639.85i | −0.758683 | + | 0.551215i | −0.898506 | − | 0.438961i | \(-0.855347\pi\) |
0.139823 | + | 0.990176i | \(0.455347\pi\) | |||||||
\(578\) | 3.39493 | − | 2.46656i | 0.000244309 | − | 0.000177501i | ||||
\(579\) | 249.654 | + | 768.355i | 0.0179193 | + | 0.0551498i | ||||
\(580\) | 1325.08 | − | 4078.17i | 0.0948635 | − | 0.291960i | ||||
\(581\) | −753.986 | − | 547.803i | −0.0538392 | − | 0.0391165i | ||||
\(582\) | −894.313 | −0.0636950 | ||||||||
\(583\) | −10454.5 | − | 20943.2i | −0.742677 | − | 1.48778i | ||||
\(584\) | −2908.08 | −0.206057 | ||||||||
\(585\) | 11229.4 | + | 8158.64i | 0.793639 | + | 0.576613i | ||||
\(586\) | 637.761 | − | 1962.83i | 0.0449584 | − | 0.138368i | ||||
\(587\) | 3131.18 | + | 9636.79i | 0.220166 | + | 0.677603i | 0.998746 | + | 0.0500572i | \(0.0159404\pi\) |
−0.778580 | + | 0.627546i | \(0.784060\pi\) | |||||||
\(588\) | 3051.76 | − | 2217.23i | 0.214035 | − | 0.155505i | ||||
\(589\) | −600.562 | + | 436.334i | −0.0420131 | + | 0.0305243i | ||||
\(590\) | −129.468 | − | 398.462i | −0.00903409 | − | 0.0278041i | ||||
\(591\) | 560.787 | − | 1725.93i | 0.0390317 | − | 0.120127i | ||||
\(592\) | −6170.05 | − | 4482.80i | −0.428357 | − | 0.311220i | ||||
\(593\) | −838.751 | −0.0580833 | −0.0290416 | − | 0.999578i | \(-0.509246\pi\) | ||||
−0.0290416 | + | 0.999578i | \(0.509246\pi\) | |||||||
\(594\) | −2378.24 | − | 1236.57i | −0.164276 | − | 0.0854162i | ||||
\(595\) | 474.276 | 0.0326780 | ||||||||
\(596\) | 12548.3 | + | 9116.86i | 0.862412 | + | 0.626579i | ||||
\(597\) | 1455.05 | − | 4478.20i | 0.0997511 | − | 0.307002i | ||||
\(598\) | −1904.27 | − | 5860.74i | −0.130220 | − | 0.400775i | ||||
\(599\) | 20801.8 | − | 15113.4i | 1.41893 | − | 1.03091i | 0.426978 | − | 0.904262i | \(-0.359578\pi\) |
0.991948 | − | 0.126648i | \(-0.0404219\pi\) | |||||||
\(600\) | −852.267 | + | 619.208i | −0.0579894 | + | 0.0421318i | ||||
\(601\) | −439.880 | − | 1353.81i | −0.0298554 | − | 0.0918853i | 0.935019 | − | 0.354599i | \(-0.115383\pi\) |
−0.964874 | + | 0.262714i | \(0.915383\pi\) | |||||||
\(602\) | −66.5245 | + | 204.741i | −0.00450388 | + | 0.0138615i | ||||
\(603\) | −6394.52 | − | 4645.89i | −0.431849 | − | 0.313757i | ||||
\(604\) | 12856.5 | 0.866098 | ||||||||
\(605\) | −10984.6 | − | 3770.44i | −0.738158 | − | 0.253372i | ||||
\(606\) | 724.724 | 0.0485807 | ||||||||
\(607\) | 20688.0 | + | 15030.7i | 1.38336 | + | 1.00507i | 0.996557 | + | 0.0829067i | \(0.0264204\pi\) |
0.386802 | + | 0.922163i | \(0.373580\pi\) | |||||||
\(608\) | −6118.69 | + | 18831.4i | −0.408134 | + | 1.25611i | ||||
\(609\) | 25.3850 | + | 78.1271i | 0.00168909 | + | 0.00519847i | ||||
\(610\) | −3211.89 | + | 2333.58i | −0.213190 | + | 0.154891i | ||||
\(611\) | 9983.42 | − | 7253.38i | 0.661024 | − | 0.480262i | ||||
\(612\) | 3813.88 | + | 11737.9i | 0.251907 | + | 0.775290i | ||||
\(613\) | −1499.35 | + | 4614.51i | −0.0987895 | + | 0.304043i | −0.988223 | − | 0.153022i | \(-0.951099\pi\) |
0.889433 | + | 0.457065i | \(0.151099\pi\) | |||||||
\(614\) | 763.818 | + | 554.947i | 0.0502039 | + | 0.0364753i | ||||
\(615\) | 2843.49 | 0.186440 | ||||||||
\(616\) | 350.911 | + | 182.458i | 0.0229523 | + | 0.0119342i | ||||
\(617\) | 3850.99 | 0.251272 | 0.125636 | − | 0.992076i | \(-0.459903\pi\) | ||||
0.125636 | + | 0.992076i | \(0.459903\pi\) | |||||||
\(618\) | 201.414 | + | 146.336i | 0.0131101 | + | 0.00952508i | ||||
\(619\) | 7443.43 | − | 22908.5i | 0.483323 | − | 1.48751i | −0.351073 | − | 0.936348i | \(-0.614183\pi\) |
0.834396 | − | 0.551166i | \(-0.185817\pi\) | |||||||
\(620\) | −110.373 | − | 339.694i | −0.00714951 | − | 0.0220039i | ||||
\(621\) | −6650.49 | + | 4831.86i | −0.429750 | + | 0.312232i | ||||
\(622\) | 3973.60 | − | 2886.99i | 0.256153 | − | 0.186106i | ||||
\(623\) | 171.725 | + | 528.515i | 0.0110434 | + | 0.0339880i | ||||
\(624\) | −1362.08 | + | 4192.05i | −0.0873828 | + | 0.268937i | ||||
\(625\) | 5767.43 | + | 4190.28i | 0.369115 | + | 0.268178i | ||||
\(626\) | 6457.39 | 0.412283 | ||||||||
\(627\) | 3255.40 | + | 6521.45i | 0.207350 | + | 0.415377i | ||||
\(628\) | 560.456 | 0.0356125 | ||||||||
\(629\) | −9774.63 | − | 7101.69i | −0.619619 | − | 0.450179i | ||||
\(630\) | 47.5188 | − | 146.248i | 0.00300507 | − | 0.00924865i | ||||
\(631\) | −899.970 | − | 2769.82i | −0.0567785 | − | 0.174746i | 0.918645 | − | 0.395083i | \(-0.129284\pi\) |
−0.975424 | + | 0.220337i | \(0.929284\pi\) | |||||||
\(632\) | −7387.31 | + | 5367.19i | −0.464955 | + | 0.337809i | ||||
\(633\) | 2125.69 | − | 1544.41i | 0.133474 | − | 0.0969742i | ||||
\(634\) | −1231.11 | − | 3788.95i | −0.0771190 | − | 0.237348i | ||||
\(635\) | −3384.57 | + | 10416.6i | −0.211516 | + | 0.650979i | ||||
\(636\) | −5718.52 | − | 4154.75i | −0.356532 | − | 0.259036i | ||||
\(637\) | −22119.8 | −1.37585 | ||||||||
\(638\) | 1651.24 | − | 1624.23i | 0.102466 | − | 0.100790i | ||||
\(639\) | 4496.68 | 0.278382 | ||||||||
\(640\) | −10015.7 | − | 7276.83i | −0.618601 | − | 0.449440i | ||||
\(641\) | 1900.65 | − | 5849.60i | 0.117116 | − | 0.360445i | −0.875267 | − | 0.483641i | \(-0.839314\pi\) |
0.992382 | + | 0.123195i | \(0.0393142\pi\) | |||||||
\(642\) | 778.155 | + | 2394.92i | 0.0478370 | + | 0.147227i | ||||
\(643\) | 7892.25 | − | 5734.05i | 0.484043 | − | 0.351678i | −0.318846 | − | 0.947807i | \(-0.603295\pi\) |
0.802889 | + | 0.596129i | \(0.203295\pi\) | |||||||
\(644\) | 463.028 | − | 336.409i | 0.0283321 | − | 0.0205844i | ||||
\(645\) | −1250.12 | − | 3847.46i | −0.0763152 | − | 0.234874i | ||||
\(646\) | −2593.46 | + | 7981.86i | −0.157954 | + | 0.486133i | ||||
\(647\) | 1473.76 | + | 1070.75i | 0.0895507 | + | 0.0650624i | 0.631660 | − | 0.775246i | \(-0.282374\pi\) |
−0.542109 | + | 0.840308i | \(0.682374\pi\) | |||||||
\(648\) | 7583.40 | 0.459728 | ||||||||
\(649\) | −312.227 | + | 1871.34i | −0.0188844 | + | 0.113184i | ||||
\(650\) | 2914.86 | 0.175892 | ||||||||
\(651\) | 5.53574 | + | 4.02195i | 0.000333276 | + | 0.000242139i | ||||
\(652\) | −726.286 | + | 2235.28i | −0.0436251 | + | 0.134264i | ||||
\(653\) | 1971.95 | + | 6069.03i | 0.118175 | + | 0.363705i | 0.992596 | − | 0.121463i | \(-0.0387585\pi\) |
−0.874421 | + | 0.485168i | \(0.838759\pi\) | |||||||
\(654\) | 948.300 | − | 688.980i | 0.0566995 | − | 0.0411946i | ||||
\(655\) | −9891.06 | + | 7186.27i | −0.590039 | + | 0.428689i | ||||
\(656\) | −2891.99 | − | 8900.62i | −0.172124 | − | 0.529742i | ||||
\(657\) | 1582.14 | − | 4869.33i | 0.0939501 | − | 0.289149i | ||||
\(658\) | −110.602 | − | 80.3570i | −0.00655276 | − | 0.00476086i | ||||
\(659\) | −27285.6 | −1.61289 | −0.806445 | − | 0.591309i | \(-0.798611\pi\) | ||||
−0.806445 | + | 0.591309i | \(0.798611\pi\) | |||||||
\(660\) | −3468.26 | + | 520.044i | −0.204548 | + | 0.0306707i | ||||
\(661\) | −23925.0 | −1.40783 | −0.703913 | − | 0.710286i | \(-0.748566\pi\) | ||||
−0.703913 | + | 0.710286i | \(0.748566\pi\) | |||||||
\(662\) | −2903.40 | − | 2109.44i | −0.170459 | − | 0.123846i | ||||
\(663\) | −2157.82 | + | 6641.08i | −0.126399 | + | 0.389017i | ||||
\(664\) | 5196.67 | + | 15993.7i | 0.303720 | + | 0.934754i | ||||
\(665\) | −709.206 | + | 515.269i | −0.0413562 | + | 0.0300470i | ||||
\(666\) | −3169.22 | + | 2302.57i | −0.184392 | + | 0.133968i | ||||
\(667\) | −2195.00 | − | 6755.51i | −0.127422 | − | 0.392166i | ||||
\(668\) | 7782.82 | − | 23953.1i | 0.450788 | − | 1.38738i | ||||
\(669\) | 5739.36 | + | 4169.89i | 0.331684 | + | 0.240982i | ||||
\(670\) | 2586.10 | 0.149119 | ||||||||
\(671\) | 17779.1 | − | 2665.87i | 1.02288 | − | 0.153375i | ||||
\(672\) | 182.513 | 0.0104771 | ||||||||
\(673\) | 6744.56 | + | 4900.21i | 0.386306 | + | 0.280667i | 0.763940 | − | 0.645287i | \(-0.223262\pi\) |
−0.377634 | + | 0.925955i | \(0.623262\pi\) | |||||||
\(674\) | 2597.10 | − | 7993.06i | 0.148422 | − | 0.456797i | ||||
\(675\) | −1201.57 | − | 3698.06i | −0.0685163 | − | 0.210871i | ||||
\(676\) | 11428.6 | − | 8303.40i | 0.650241 | − | 0.472428i | ||||
\(677\) | 898.252 | − | 652.618i | 0.0509935 | − | 0.0370490i | −0.561997 | − | 0.827140i | \(-0.689967\pi\) |
0.612990 | + | 0.790091i | \(0.289967\pi\) | |||||||
\(678\) | −478.905 | − | 1473.92i | −0.0271272 | − | 0.0834890i | ||||
\(679\) | −150.509 | + | 463.220i | −0.00850665 | + | 0.0261808i | ||||
\(680\) | −6923.50 | − | 5030.22i | −0.390447 | − | 0.283677i | ||||
\(681\) | −5067.22 | −0.285134 | ||||||||
\(682\) | 31.7506 | − | 190.298i | 0.00178269 | − | 0.0106846i | ||||
\(683\) | 8337.88 | 0.467116 | 0.233558 | − | 0.972343i | \(-0.424963\pi\) | ||||
0.233558 | + | 0.972343i | \(0.424963\pi\) | |||||||
\(684\) | −18455.6 | − | 13408.7i | −1.03168 | − | 0.749556i | ||||
\(685\) | −1103.70 | + | 3396.83i | −0.0615622 | + | 0.189469i | ||||
\(686\) | 151.585 | + | 466.532i | 0.00843667 | + | 0.0259654i | ||||
\(687\) | −3679.89 | + | 2673.60i | −0.204362 | + | 0.148478i | ||||
\(688\) | −10771.8 | + | 7826.16i | −0.596905 | + | 0.433677i | ||||
\(689\) | 12808.5 | + | 39420.4i | 0.708219 | + | 2.17968i | ||||
\(690\) | 396.443 | − | 1220.13i | 0.0218729 | − | 0.0673180i | ||||
\(691\) | 26998.5 | + | 19615.5i | 1.48635 | + | 1.07990i | 0.975440 | + | 0.220266i | \(0.0706926\pi\) |
0.510913 | + | 0.859632i | \(0.329307\pi\) | |||||||
\(692\) | 19349.7 | 1.06295 | ||||||||
\(693\) | −496.424 | + | 488.305i | −0.0272115 | + | 0.0267665i | ||||
\(694\) | 9374.48 | 0.512753 | ||||||||
\(695\) | −4202.83 | − | 3053.53i | −0.229385 | − | 0.166658i | ||||
\(696\) | 458.053 | − | 1409.74i | 0.0249460 | − | 0.0767760i | ||||
\(697\) | −4581.50 | − | 14100.4i | −0.248977 | − | 0.766272i | ||||
\(698\) | −7972.13 | + | 5792.09i | −0.432306 | + | 0.314089i | ||||
\(699\) | 3519.92 | − | 2557.37i | 0.190466 | − | 0.138382i | ||||
\(700\) | 83.6571 | + | 257.470i | 0.00451706 | + | 0.0139021i | ||||
\(701\) | 2413.07 | − | 7426.67i | 0.130015 | − | 0.400145i | −0.864767 | − | 0.502174i | \(-0.832534\pi\) |
0.994781 | + | 0.102030i | \(0.0325336\pi\) | |||||||
\(702\) | 3840.02 | + | 2789.94i | 0.206456 | + | 0.149999i | ||||
\(703\) | 22332.0 | 1.19810 | ||||||||
\(704\) | 3471.80 | + | 6954.96i | 0.185864 | + | 0.372337i | ||||
\(705\) | 2569.06 | 0.137243 | ||||||||
\(706\) | −6948.40 | − | 5048.31i | −0.370406 | − | 0.269116i | ||||
\(707\) | 121.968 | − | 375.379i | 0.00648809 | − | 0.0199683i | ||||
\(708\) | 177.038 | + | 544.868i | 0.00939761 | + | 0.0289229i | ||||
\(709\) | −22613.7 | + | 16429.8i | −1.19785 | + | 0.870288i | −0.994071 | − | 0.108730i | \(-0.965322\pi\) |
−0.203777 | + | 0.979017i | \(0.565322\pi\) | |||||||
\(710\) | −1190.27 | + | 864.778i | −0.0629153 | + | 0.0457106i | ||||
\(711\) | −4967.84 | − | 15289.5i | −0.262038 | − | 0.806469i | ||||
\(712\) | 3098.64 | − | 9536.62i | 0.163099 | − | 0.501966i | ||||
\(713\) | −478.666 | − | 347.771i | −0.0251419 | − | 0.0182667i | ||||
\(714\) | 77.3599 | 0.00405479 | ||||||||
\(715\) | 18245.9 | + | 9487.03i | 0.954346 | + | 0.496216i | ||||
\(716\) | −10529.4 | −0.549583 | ||||||||
\(717\) | 2570.28 | + | 1867.42i | 0.133876 | + | 0.0972664i | ||||
\(718\) | −2396.03 | + | 7374.22i | −0.124539 | + | 0.383292i | ||||
\(719\) | −7720.14 | − | 23760.2i | −0.400435 | − | 1.23241i | −0.924647 | − | 0.380824i | \(-0.875640\pi\) |
0.524212 | − | 0.851588i | \(-0.324360\pi\) | |||||||
\(720\) | 7694.34 | − | 5590.26i | 0.398265 | − | 0.289357i | ||||
\(721\) | 109.694 | − | 79.6971i | 0.00566602 | − | 0.00411661i | ||||
\(722\) | −2836.55 | − | 8730.00i | −0.146212 | − | 0.449996i | ||||
\(723\) | 1471.54 | − | 4528.95i | 0.0756948 | − | 0.232965i | ||||
\(724\) | −2845.64 | − | 2067.47i | −0.146073 | − | 0.106129i | ||||
\(725\) | 3359.87 | 0.172114 | ||||||||
\(726\) | −1791.71 | − | 615.002i | −0.0915930 | − | 0.0314392i | ||||
\(727\) | 31671.2 | 1.61571 | 0.807855 | − | 0.589381i | \(-0.200628\pi\) | ||||
0.807855 | + | 0.589381i | \(0.200628\pi\) | |||||||
\(728\) | −566.599 | − | 411.658i | −0.0288456 | − | 0.0209575i | ||||
\(729\) | −3102.42 | + | 9548.25i | −0.157619 | + | 0.485102i | ||||
\(730\) | 517.654 | + | 1593.17i | 0.0262455 | + | 0.0807754i | ||||
\(731\) | −17064.7 | + | 12398.3i | −0.863423 | + | 0.627314i | ||||
\(732\) | 4392.04 | − | 3191.00i | 0.221768 | − | 0.161124i | ||||
\(733\) | 3656.22 | + | 11252.7i | 0.184237 | + | 0.567023i | 0.999934 | − | 0.0114559i | \(-0.00364661\pi\) |
−0.815698 | + | 0.578479i | \(0.803647\pi\) | |||||||
\(734\) | 2672.96 | − | 8226.52i | 0.134415 | − | 0.413687i | ||||
\(735\) | −3725.55 | − | 2706.77i | −0.186965 | − | 0.135838i | ||||
\(736\) | −15781.6 | −0.790377 | ||||||||
\(737\) | −10390.0 | − | 5402.33i | −0.519296 | − | 0.270010i | ||||
\(738\) | −4807.04 | −0.239769 | ||||||||
\(739\) | −4490.16 | − | 3262.29i | −0.223509 | − | 0.162389i | 0.470396 | − | 0.882456i | \(-0.344111\pi\) |
−0.693905 | + | 0.720067i | \(0.744111\pi\) | |||||||
\(740\) | −3320.41 | + | 10219.2i | −0.164947 | + | 0.507654i | ||||
\(741\) | −3988.40 | − | 12275.0i | −0.197729 | − | 0.608549i | ||||
\(742\) | 371.497 | − | 269.909i | 0.0183802 | − | 0.0133540i | ||||
\(743\) | −30176.1 | + | 21924.2i | −1.48998 | + | 1.08253i | −0.515813 | + | 0.856701i | \(0.672510\pi\) |
−0.974166 | + | 0.225832i | \(0.927490\pi\) | |||||||
\(744\) | −38.1538 | − | 117.425i | −0.00188009 | − | 0.00578632i | ||||
\(745\) | 5851.26 | − | 18008.3i | 0.287750 | − | 0.885602i | ||||
\(746\) | 1971.57 | + | 1432.43i | 0.0967619 | + | 0.0703016i | ||||
\(747\) | −29607.4 | −1.45017 | ||||||||
\(748\) | 8166.96 | + | 16360.6i | 0.399216 | + | 0.799737i | ||||
\(749\) | 1371.43 | 0.0669041 | ||||||||
\(750\) | 1746.77 | + | 1269.11i | 0.0850443 | + | 0.0617883i | ||||
\(751\) | −1606.66 | + | 4944.80i | −0.0780665 | + | 0.240264i | −0.982472 | − | 0.186410i | \(-0.940315\pi\) |
0.904406 | + | 0.426674i | \(0.140315\pi\) | |||||||
\(752\) | −2612.87 | − | 8041.60i | −0.126704 | − | 0.389956i | ||||
\(753\) | −5024.37 | + | 3650.42i | −0.243158 | + | 0.176665i | ||||
\(754\) | −3318.10 | + | 2410.74i | −0.160263 | + | 0.116438i | ||||
\(755\) | −4850.04 | − | 14926.9i | −0.233789 | − | 0.719530i | ||||
\(756\) | −136.227 | + | 419.262i | −0.00655358 | + | 0.0201699i | ||||
\(757\) | −127.874 | − | 92.9061i | −0.00613959 | − | 0.00446067i | 0.584711 | − | 0.811242i | \(-0.301208\pi\) |
−0.590851 | + | 0.806781i | \(0.701208\pi\) | |||||||
\(758\) | 6801.86 | 0.325929 | ||||||||
\(759\) | −4141.60 | + | 4073.87i | −0.198064 | + | 0.194825i | ||||
\(760\) | 15818.0 | 0.754974 | ||||||||
\(761\) | −5383.00 | − | 3910.98i | −0.256417 | − | 0.186298i | 0.452149 | − | 0.891943i | \(-0.350658\pi\) |
−0.708566 | + | 0.705644i | \(0.750658\pi\) | |||||||
\(762\) | −552.063 | + | 1699.08i | −0.0262456 | + | 0.0807756i | ||||
\(763\) | −197.270 | − | 607.135i | −0.00935998 | − | 0.0288070i | ||||
\(764\) | −7481.97 | + | 5435.97i | −0.354304 | + | 0.257417i | ||||
\(765\) | 12189.4 | − | 8856.13i | 0.576091 | − | 0.418554i | ||||
\(766\) | 918.870 | + | 2827.99i | 0.0433422 | + | 0.133394i | ||||
\(767\) | 1038.14 | − | 3195.06i | 0.0488722 | − | 0.150413i | ||||
\(768\) | 491.900 | + | 357.387i | 0.0231119 | + | 0.0167918i | ||||
\(769\) | 5519.26 | 0.258816 | 0.129408 | − | 0.991591i | \(-0.458692\pi\) | ||||
0.129408 | + | 0.991591i | \(0.458692\pi\) | |||||||
\(770\) | 37.4944 | − | 224.723i | 0.00175481 | − | 0.0105175i | ||||
\(771\) | 6778.18 | 0.316615 | ||||||||
\(772\) | −3030.77 | − | 2201.98i | −0.141295 | − | 0.102657i | ||||
\(773\) | 9540.72 | − | 29363.3i | 0.443927 | − | 1.36627i | −0.439729 | − | 0.898131i | \(-0.644925\pi\) |
0.883656 | − | 0.468137i | \(-0.155075\pi\) | |||||||
\(774\) | 2113.37 | + | 6504.30i | 0.0981443 | + | 0.302057i | ||||
\(775\) | 226.414 | − | 164.499i | 0.0104942 | − | 0.00762451i | ||||
\(776\) | 7110.11 | − | 5165.80i | 0.328915 | − | 0.238971i | ||||
\(777\) | −63.6103 | − | 195.772i | −0.00293695 | − | 0.00903899i | ||||
\(778\) | −3489.00 | + | 10738.1i | −0.160780 | + | 0.494830i | ||||
\(779\) | 22170.1 | + | 16107.5i | 1.01967 | + | 0.740836i | ||||
\(780\) | 6210.09 | 0.285073 | ||||||||
\(781\) | 6588.58 | − | 987.918i | 0.301867 | − | 0.0452631i | ||||
\(782\) | −6689.17 | −0.305888 | ||||||||
\(783\) | 4426.29 | + | 3215.88i | 0.202021 | + | 0.146777i | ||||
\(784\) | −4683.57 | + | 14414.6i | −0.213355 | + | 0.656640i | ||||
\(785\) | −211.429 | − | 650.711i | −0.00961302 | − | 0.0295858i | ||||
\(786\) | −1613.35 | + | 1172.17i | −0.0732140 | + | 0.0531931i | ||||
\(787\) | 20220.4 | − | 14690.9i | 0.915855 | − | 0.665408i | −0.0266338 | − | 0.999645i | \(-0.508479\pi\) |
0.942489 | + | 0.334238i | \(0.108479\pi\) | |||||||
\(788\) | 2600.39 | + | 8003.17i | 0.117557 | + | 0.361803i | ||||
\(789\) | 435.665 | − | 1340.84i | 0.0196579 | − | 0.0605008i | ||||
\(790\) | 4255.37 | + | 3091.71i | 0.191645 | + | 0.139238i | ||||
\(791\) | −844.031 | −0.0379397 | ||||||||
\(792\) | 12425.8 | − | 1863.18i | 0.557492 | − | 0.0835925i | ||||
\(793\) | −31834.4 | −1.42556 | ||||||||
\(794\) | 6261.04 | + | 4548.92i | 0.279844 | + | 0.203319i | ||||
\(795\) | −2666.55 | + | 8206.78i | −0.118959 | + | 0.366119i | ||||
\(796\) | 6747.13 | + | 20765.5i | 0.300434 | + | 0.924641i | ||||
\(797\) | 16563.4 | − | 12034.0i | 0.736141 | − | 0.534838i | −0.155359 | − | 0.987858i | \(-0.549654\pi\) |
0.891500 | + | 0.453020i | \(0.149654\pi\) | |||||||
\(798\) | −115.680 | + | 84.0463i | −0.00513161 | + | 0.00372833i | ||||
\(799\) | −4139.33 | − | 12739.6i | −0.183278 | − | 0.564071i | ||||
\(800\) | 2306.77 | − | 7099.51i | 0.101946 | − | 0.313757i | ||||
\(801\) | 14282.5 | + | 10376.8i | 0.630020 | + | 0.457736i | ||||
\(802\) | 3998.41 | 0.176046 | ||||||||
\(803\) | 1248.38 | − | 7482.18i | 0.0548622 | − | 0.328818i | ||||
\(804\) | −3536.30 | −0.155119 | ||||||||
\(805\) | −565.259 | − | 410.685i | −0.0247488 | − | 0.0179810i | ||||
\(806\) | −105.569 | + | 324.908i | −0.00461354 | + | 0.0141990i | ||||
\(807\) | 842.491 | + | 2592.92i | 0.0367498 | + | 0.113104i | ||||
\(808\) | −5761.81 | + | 4186.20i | −0.250866 | + | 0.182265i | ||||
\(809\) | −11872.0 | + | 8625.48i | −0.515941 | + | 0.374853i | −0.815072 | − | 0.579359i | \(-0.803303\pi\) |
0.299132 | + | 0.954212i | \(0.403303\pi\) | |||||||
\(810\) | −1349.89 | − | 4154.52i | −0.0585558 | − | 0.180216i | ||||
\(811\) | 1459.87 | − | 4493.01i | 0.0632095 | − | 0.194539i | −0.914465 | − | 0.404666i | \(-0.867388\pi\) |
0.977674 | + | 0.210127i | \(0.0673878\pi\) | |||||||
\(812\) | −308.172 | − | 223.900i | −0.0133186 | − | 0.00967653i | ||||
\(813\) | −6194.10 | −0.267204 | ||||||||
\(814\) | −4137.70 | + | 4070.03i | −0.178165 | + | 0.175251i | ||||
\(815\) | 2869.23 | 0.123319 | ||||||||
\(816\) | 3870.83 | + | 2812.32i | 0.166062 | + | 0.120651i | ||||
\(817\) | 12047.8 | − | 37079.4i | 0.515912 | − | 1.58781i | ||||
\(818\) | −3406.24 | − | 10483.3i | −0.145595 | − | 0.448094i | ||||
\(819\) | 997.546 | − | 724.760i | 0.0425606 | − | 0.0309221i | ||||
\(820\) | −10667.2 | + | 7750.15i | −0.454285 | + | 0.330057i | ||||
\(821\) | 13881.5 | + | 42723.0i | 0.590097 | + | 1.81613i | 0.577760 | + | 0.816207i | \(0.303927\pi\) |
0.0123363 | + | 0.999924i | \(0.496073\pi\) | |||||||
\(822\) | −180.026 | + | 554.063i | −0.00763884 | + | 0.0235099i | ||||
\(823\) | −32002.7 | − | 23251.3i | −1.35546 | − | 0.984800i | −0.998719 | − | 0.0505967i | \(-0.983888\pi\) |
−0.356742 | − | 0.934203i | \(-0.616112\pi\) | |||||||
\(824\) | −2446.59 | −0.103436 | ||||||||
\(825\) | −1227.30 | − | 2458.61i | −0.0517928 | − | 0.103755i | ||||
\(826\) | −37.2183 | −0.00156778 | ||||||||
\(827\) | −12752.3 | − | 9265.07i | −0.536203 | − | 0.389574i | 0.286470 | − | 0.958089i | \(-0.407518\pi\) |
−0.822673 | + | 0.568515i | \(0.807518\pi\) | |||||||
\(828\) | 5618.58 | − | 17292.2i | 0.235820 | − | 0.725780i | ||||
\(829\) | 6977.80 | + | 21475.5i | 0.292339 | + | 0.899727i | 0.984102 | + | 0.177603i | \(0.0568342\pi\) |
−0.691763 | + | 0.722124i | \(0.743166\pi\) | |||||||
\(830\) | 7837.04 | − | 5693.94i | 0.327744 | − | 0.238120i | ||||
\(831\) | −8287.34 | + | 6021.10i | −0.345950 | + | 0.251348i | ||||
\(832\) | −4253.53 | − | 13091.0i | −0.177241 | − | 0.545492i | ||||
\(833\) | −7419.75 | + | 22835.6i | −0.308618 | + | 0.949830i | ||||
\(834\) | −685.530 | − | 498.067i | −0.0284628 | − | 0.0206794i | ||||
\(835\) | −30746.4 | −1.27428 | ||||||||
\(836\) | −29987.2 | − | 15592.0i | −1.24058 | − | 0.645046i | ||||
\(837\) | 455.727 | 0.0188199 | ||||||||
\(838\) | −8880.78 | − | 6452.26i | −0.366088 | − | 0.265978i | ||||
\(839\) | −7245.74 | + | 22300.1i | −0.298153 | + | 0.917621i | 0.683991 | + | 0.729491i | \(0.260243\pi\) |
−0.982144 | + | 0.188131i | \(0.939757\pi\) | |||||||
\(840\) | −45.0560 | − | 138.668i | −0.00185069 | − | 0.00569584i | ||||
\(841\) | 15906.4 | − | 11556.7i | 0.652197 | − | 0.473849i | ||||
\(842\) | −6338.67 | + | 4605.31i | −0.259436 | + | 0.188491i | ||||
\(843\) | −2087.71 | − | 6425.30i | −0.0852958 | − | 0.262514i | ||||
\(844\) | −3765.00 | + | 11587.5i | −0.153551 | + | 0.472580i | ||||
\(845\) | −13952.0 | − | 10136.7i | −0.568002 | − | 0.412678i | ||||
\(846\) | −4343.10 | −0.176500 | ||||||||
\(847\) | −620.085 | + | 824.534i | −0.0251551 | + | 0.0334490i | ||||
\(848\) | 28400.7 | 1.15010 | ||||||||
\(849\) | 4657.39 | + | 3383.79i | 0.188270 | + | 0.136786i | ||||
\(850\) | 977.745 | − | 3009.19i | 0.0394546 | − | 0.121429i | ||||
\(851\) | 5500.27 | + | 16928.1i | 0.221559 | + | 0.681889i | ||||
\(852\) | 1627.60 | − | 1182.52i | 0.0654469 | − | 0.0475500i | ||||
\(853\) | 12132.7 | − | 8814.90i | 0.487004 | − | 0.353829i | −0.317027 | − | 0.948417i | \(-0.602685\pi\) |
0.804031 | + | 0.594587i | \(0.202685\pi\) | |||||||
\(854\) | 108.984 | + | 335.418i | 0.00436692 | + | 0.0134400i | ||||
\(855\) | −8605.82 | + | 26486.0i | −0.344225 | + | 1.05942i | ||||
\(856\) | −20020.3 | − | 14545.6i | −0.799392 | − | 0.580792i | ||||
\(857\) | 46121.7 | 1.83838 | 0.919188 | − | 0.393819i | \(-0.128846\pi\) | ||||
0.919188 | + | 0.393819i | \(0.128846\pi\) | |||||||
\(858\) | 2976.12 | + | 1547.44i | 0.118418 | + | 0.0615721i | ||||
\(859\) | −17398.7 | −0.691080 | −0.345540 | − | 0.938404i | \(-0.612304\pi\) | ||||
−0.345540 | + | 0.938404i | \(0.612304\pi\) | |||||||
\(860\) | 15176.3 | + | 11026.2i | 0.601753 | + | 0.437199i | ||||
\(861\) | 78.0567 | − | 240.234i | 0.00308962 | − | 0.00950888i | ||||
\(862\) | −3270.09 | − | 10064.3i | −0.129211 | − | 0.397670i | ||||
\(863\) | 8989.57 | − | 6531.30i | 0.354587 | − | 0.257622i | −0.396204 | − | 0.918163i | \(-0.629673\pi\) |
0.750791 | + | 0.660540i | \(0.229673\pi\) | |||||||
\(864\) | 9834.18 | − | 7144.95i | 0.387229 | − | 0.281338i | ||||
\(865\) | −7299.56 | − | 22465.7i | −0.286928 | − | 0.883072i | ||||
\(866\) | −941.042 | + | 2896.23i | −0.0369260 | + | 0.113646i | ||||
\(867\) | 5.66730 | + | 4.11754i | 0.000221997 | + | 0.000161291i | ||||
\(868\) | −31.7291 | −0.00124073 | ||||||||
\(869\) | −10638.0 | − | 21310.8i | −0.415270 | − | 0.831899i | ||||
\(870\) | −853.855 | −0.0332740 | ||||||||
\(871\) | 16776.2 | + | 12188.7i | 0.652631 | + | 0.474164i | ||||
\(872\) | −3559.58 | + | 10955.3i | −0.138237 | + | 0.425450i | ||||
\(873\) | 4781.43 | + | 14715.7i | 0.185369 | + | 0.570507i | ||||
\(874\) | 10002.6 | − | 7267.34i | 0.387121 | − | 0.281260i | ||||
\(875\) | 951.323 | − | 691.177i | 0.0367550 | − | 0.0267040i | ||||
\(876\) | −707.854 | − | 2178.55i | −0.0273016 | − | 0.0840256i | ||||
\(877\) | 493.384 | − | 1518.48i | 0.0189970 | − | 0.0584668i | −0.941109 | − | 0.338104i | \(-0.890214\pi\) |
0.960106 | + | 0.279638i | \(0.0902143\pi\) | |||||||
\(878\) | 4145.82 | + | 3012.11i | 0.159356 | + | 0.115779i | ||||
\(879\) | 3445.25 | 0.132202 | ||||||||
\(880\) | 10045.6 | − | 9881.35i | 0.384817 | − | 0.378523i | ||||
\(881\) | 4924.45 | 0.188319 | 0.0941594 | − | 0.995557i | \(-0.469984\pi\) | ||||
0.0941594 | + | 0.995557i | \(0.469984\pi\) | |||||||
\(882\) | 6298.20 | + | 4575.91i | 0.240444 | + | 0.174693i | ||||
\(883\) | −6665.86 | + | 20515.4i | −0.254048 | + | 0.781878i | 0.739968 | + | 0.672642i | \(0.234841\pi\) |
−0.994016 | + | 0.109236i | \(0.965159\pi\) | |||||||
\(884\) | −10005.9 | − | 30794.9i | −0.380694 | − | 1.17166i | ||||
\(885\) | 565.826 | − | 411.097i | 0.0214916 | − | 0.0156145i | ||||
\(886\) | 8128.02 | − | 5905.35i | 0.308201 | − | 0.223921i | ||||
\(887\) | 6836.67 | + | 21041.1i | 0.258797 | + | 0.796495i | 0.993058 | + | 0.117628i | \(0.0375290\pi\) |
−0.734261 | + | 0.678868i | \(0.762471\pi\) | |||||||
\(888\) | −1147.80 | + | 3532.56i | −0.0433756 | + | 0.133496i | ||||
\(889\) | 787.146 | + | 571.895i | 0.0296963 | + | 0.0215756i | ||||
\(890\) | −5776.16 | −0.217548 | ||||||||
\(891\) | −3255.40 | + | 19511.3i | −0.122402 | + | 0.733618i | ||||
\(892\) | −32896.2 | −1.23481 | ||||||||
\(893\) | 20030.4 | + | 14552.9i | 0.750607 | + | 0.545348i | ||||
\(894\) | 954.408 | − | 2937.37i | 0.0357049 | − | 0.109888i | ||||
\(895\) | 3972.15 | + | 12225.0i | 0.148351 | + | 0.456578i | ||||
\(896\) | −889.728 | + | 646.425i | −0.0331738 | + | 0.0241022i | ||||
\(897\) | 8322.40 | − | 6046.58i | 0.309785 | − | 0.225072i | ||||
\(898\) | 2153.02 | + | 6626.31i | 0.0800080 | + | 0.246239i | ||||
\(899\) | −121.687 | + | 374.513i | −0.00451443 | + | 0.0138940i | ||||
\(900\) | 6957.81 | + | 5055.15i | 0.257697 | + | 0.187228i | ||||
\(901\) | 44992.5 | 1.66362 | ||||||||
\(902\) | −7043.32 | + | 1056.10i | −0.259997 | + | 0.0389849i | ||||
\(903\) | −359.372 | −0.0132438 | ||||||||
\(904\) | 12321.2 | + | 8951.89i | 0.453316 | + | 0.329353i | ||||
\(905\) | −1326.92 | + | 4083.83i | −0.0487384 | + | 0.150001i | ||||
\(906\) | −791.098 | − | 2434.75i | −0.0290093 | − | 0.0892816i | ||||
\(907\) | 1648.63 | − | 1197.80i | 0.0603548 | − | 0.0438504i | −0.557199 | − | 0.830379i | \(-0.688124\pi\) |
0.617554 | + | 0.786529i | \(0.288124\pi\) | |||||||
\(908\) | 19009.4 | − | 13811.1i | 0.694766 | − | 0.504777i | ||||
\(909\) | −3874.73 | − | 11925.2i | −0.141382 | − | 0.435130i | ||||
\(910\) | −124.667 | + | 383.686i | −0.00454140 | + | 0.0139770i | ||||
\(911\) | −35177.4 | − | 25557.9i | −1.27934 | − | 0.929495i | −0.279808 | − | 0.960056i | \(-0.590271\pi\) |
−0.999533 | + | 0.0305606i | \(0.990271\pi\) | |||||||
\(912\) | −8843.64 | −0.321099 | ||||||||
\(913\) | −43381.0 | + | 6504.73i | −1.57251 | + | 0.235789i | ||||
\(914\) | 2990.95 | 0.108241 | ||||||||
\(915\) | −5361.75 | − | 3895.54i | −0.193720 | − | 0.140746i | ||||
\(916\) | 6517.78 | − | 20059.7i | 0.235102 | − | 0.723570i | ||||
\(917\) | 335.617 | + | 1032.92i | 0.0120862 | + | 0.0371975i | ||||
\(918\) | 4168.31 | − | 3028.45i | 0.149863 | − | 0.108882i | ||||
\(919\) | 7796.33 | − | 5664.36i | 0.279845 | − | 0.203319i | −0.439005 | − | 0.898485i | \(-0.644669\pi\) |
0.718850 | + | 0.695166i | \(0.244669\pi\) | |||||||
\(920\) | 3895.92 | + | 11990.4i | 0.139614 | + | 0.429687i | ||||
\(921\) | −487.035 | + | 1498.94i | −0.0174249 | + | 0.0536283i | ||||
\(922\) | −3613.58 | − | 2625.42i | −0.129075 | − | 0.0937783i | ||||
\(923\) | −11797.2 | −0.420704 | ||||||||
\(924\) | −51.2710 | + | 307.293i | −0.00182542 | + | 0.0109407i | ||||
\(925\) | −8419.24 | −0.299268 | ||||||||
\(926\) | 10525.1 | + | 7646.92i | 0.373516 | + | 0.271375i | ||||
\(927\) | 1331.07 | − | 4096.61i | 0.0471608 | − | 0.145146i | ||||
\(928\) | 3245.78 | + | 9989.48i | 0.114815 | + | 0.353363i | ||||
\(929\) | −5085.28 | + | 3694.67i | −0.179594 | + | 0.130482i | −0.673950 | − | 0.738777i | \(-0.735404\pi\) |
0.494356 | + | 0.869259i | \(0.335404\pi\) | |||||||
\(930\) | −57.5393 | + | 41.8047i | −0.00202880 | + | 0.00147401i | ||||
\(931\) | −13714.3 | − | 42208.3i | −0.482780 | − | 1.48584i | ||||
\(932\) | −6234.44 | + | 19187.6i | −0.219116 | + | 0.674369i | ||||
\(933\) | 6633.29 | + | 4819.37i | 0.232759 | + | 0.169109i | ||||
\(934\) | −13430.4 | −0.470509 | ||||||||
\(935\) | 15914.4 | − | 15654.1i | 0.556637 | − | 0.547534i | ||||
\(936\) | −22249.1 | −0.776961 | ||||||||
\(937\) | −19912.9 | − | 14467.6i | −0.694266 | − | 0.504413i | 0.183794 | − | 0.982965i | \(-0.441162\pi\) |
−0.878060 | + | 0.478551i | \(0.841162\pi\) | |||||||
\(938\) | 70.9910 | − | 218.488i | 0.00247115 | − | 0.00760541i | ||||
\(939\) | 3331.08 | + | 10252.0i | 0.115767 | + | 0.356295i | ||||
\(940\) | −9637.65 | + | 7002.17i | −0.334410 | + | 0.242963i | ||||
\(941\) | −15898.0 | + | 11550.6i | −0.550754 | + | 0.400146i | −0.828063 | − | 0.560635i | \(-0.810557\pi\) |
0.277310 | + | 0.960781i | \(0.410557\pi\) | |||||||
\(942\) | −34.4865 | − | 106.139i | −0.00119281 | − | 0.00367111i | ||||
\(943\) | −6749.43 | + | 20772.6i | −0.233077 | + | 0.717337i | ||||
\(944\) | −1862.28 | − | 1353.03i | −0.0642077 | − | 0.0466496i | ||||
\(945\) | 538.170 | 0.0185256 | ||||||||
\(946\) | 4525.53 | + | 9065.85i | 0.155537 | + | 0.311582i | ||||
\(947\) | 3025.82 | 0.103829 | 0.0519144 | − | 0.998652i | \(-0.483468\pi\) | ||||
0.0519144 | + | 0.998652i | \(0.483468\pi\) | |||||||
\(948\) | −5818.92 | − | 4227.69i | −0.199356 | − | 0.144841i | ||||
\(949\) | −4150.80 | + | 12774.9i | −0.141982 | + | 0.436975i | ||||
\(950\) | 1807.22 | + | 5562.04i | 0.0617198 | + | 0.189954i | ||||
\(951\) | 5380.41 | − | 3909.10i | 0.183461 | − | 0.133293i | ||||
\(952\) | −615.038 | + | 446.852i | −0.0209386 | + | 0.0152128i | ||||
\(953\) | −3617.77 | − | 11134.3i | −0.122971 | − | 0.378465i | 0.870555 | − | 0.492071i | \(-0.163760\pi\) |
−0.993526 | + | 0.113606i | \(0.963760\pi\) | |||||||
\(954\) | 4507.91 | − | 13873.9i | 0.152986 | − | 0.470843i | ||||
\(955\) | 9133.90 | + | 6636.16i | 0.309493 | + | 0.224860i | ||||
\(956\) | −14732.0 | −0.498398 | ||||||||
\(957\) | 3430.49 | + | 1783.70i | 0.115875 | + | 0.0602495i | ||||
\(958\) | −2613.14 | −0.0881281 | ||||||||
\(959\) | 256.686 | + | 186.493i | 0.00864319 | + | 0.00627964i | ||||
\(960\) | 885.527 | − | 2725.37i | 0.0297711 | − | 0.0916260i | ||||
\(961\) | −9195.79 | − | 28301.7i | −0.308677 | − | 0.950009i | ||||
\(962\) | 8314.56 | − | 6040.88i | 0.278661 | − | 0.202459i | ||||
\(963\) | 35247.4 | − | 25608.8i | 1.17947 | − | 0.856938i | ||||
\(964\) | 6823.59 | + | 21000.9i | 0.227980 | + | 0.701652i | ||||
\(965\) | −1413.25 | + | 4349.53i | −0.0471441 | + | 0.145095i | ||||
\(966\) | −92.2003 | − | 66.9874i | −0.00307091 | − | 0.00223114i | ||||
\(967\) | 12352.3 | 0.410779 | 0.205390 | − | 0.978680i | \(-0.434154\pi\) | ||||
0.205390 | + | 0.978680i | \(0.434154\pi\) | |||||||
\(968\) | 17797.1 | − | 5459.90i | 0.590931 | − | 0.181289i | ||||
\(969\) | −14010.1 | −0.464469 | ||||||||
\(970\) | −4095.69 | − | 2975.70i | −0.135572 | − | 0.0984988i | ||||
\(971\) | −5225.07 | + | 16081.1i | −0.172688 | + | 0.531481i | −0.999520 | − | 0.0309686i | \(-0.990141\pi\) |
0.826832 | + | 0.562449i | \(0.190141\pi\) | |||||||
\(972\) | 6591.12 | + | 20285.4i | 0.217500 | + | 0.669397i | ||||
\(973\) | −373.352 | + | 271.256i | −0.0123012 | + | 0.00893737i | ||||
\(974\) | −14293.6 | + | 10384.9i | −0.470221 | + | 0.341636i | ||||
\(975\) | 1503.64 | + | 4627.73i | 0.0493898 | + | 0.152006i | ||||
\(976\) | −6740.51 | + | 20745.2i | −0.221064 | + | 0.680365i | ||||
\(977\) | −19980.0 | − | 14516.3i | −0.654266 | − | 0.475352i | 0.210456 | − | 0.977603i | \(-0.432505\pi\) |
−0.864722 | + | 0.502251i | \(0.832505\pi\) | |||||||
\(978\) | 468.005 | 0.0153018 | ||||||||
\(979\) | 23206.6 | + | 12066.4i | 0.757595 | + | 0.393915i | ||||
\(980\) | 21353.7 | 0.696039 | ||||||||
\(981\) | −16407.1 | − | 11920.4i | −0.533984 | − | 0.387962i | ||||
\(982\) | 3222.43 | − | 9917.63i | 0.104717 | − | 0.322285i | ||||
\(983\) | −9496.51 | − | 29227.2i | −0.308130 | − | 0.948326i | −0.978491 | − | 0.206291i | \(-0.933861\pi\) |
0.670361 | − | 0.742035i | \(-0.266139\pi\) | |||||||
\(984\) | −3687.42 | + | 2679.07i | −0.119462 | + | 0.0867944i | ||||
\(985\) | 8311.01 | − | 6038.30i | 0.268843 | − | 0.195326i | ||||
\(986\) | 1375.75 | + | 4234.13i | 0.0444350 | + | 0.136757i | ||||
\(987\) | 70.5233 | − | 217.048i | 0.00227435 | − | 0.00699972i | ||||
\(988\) | 48418.8 | + | 35178.3i | 1.55912 | + | 1.13276i | ||||
\(989\) | 31074.3 | 0.999094 | ||||||||
\(990\) | −3232.60 | − | 6475.78i | −0.103777 | − | 0.207893i | ||||
\(991\) | 40862.5 | 1.30983 | 0.654915 | − | 0.755703i | \(-0.272705\pi\) | ||||
0.654915 | + | 0.755703i | \(0.272705\pi\) | |||||||
\(992\) | 707.810 | + | 514.254i | 0.0226542 | + | 0.0164593i | ||||
\(993\) | 1851.30 | − | 5697.71i | 0.0591633 | − | 0.182086i | ||||
\(994\) | 40.3873 | + | 124.299i | 0.00128874 | + | 0.00396633i | ||||
\(995\) | 21564.3 | − | 15667.3i | 0.687068 | − | 0.499184i | ||||
\(996\) | −10716.6 | + | 7786.06i | −0.340932 | + | 0.247702i | ||||
\(997\) | 17934.9 | + | 55198.1i | 0.569715 | + | 1.75340i | 0.653509 | + | 0.756918i | \(0.273296\pi\) |
−0.0837946 | + | 0.996483i | \(0.526704\pi\) | |||||||
\(998\) | −247.148 | + | 760.644i | −0.00783902 | + | 0.0241260i | ||||
\(999\) | −11091.5 | − | 8058.43i | −0.351270 | − | 0.255213i |
(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 | 11.4.c.a.4.2 | yes | 8 | |
3.2 | odd | 2 | 99.4.f.c.37.1 | 8 | |||
4.3 | odd | 2 | 176.4.m.c.81.2 | 8 | |||
11.2 | odd | 10 | 121.4.c.b.27.2 | 8 | |||
11.3 | even | 5 | inner | 11.4.c.a.3.2 | ✓ | 8 | |
11.4 | even | 5 | 121.4.c.h.9.1 | 8 | |||
11.5 | even | 5 | 121.4.a.g.1.2 | 4 | |||
11.6 | odd | 10 | 121.4.a.f.1.3 | 4 | |||
11.7 | odd | 10 | 121.4.c.b.9.2 | 8 | |||
11.8 | odd | 10 | 121.4.c.i.3.1 | 8 | |||
11.9 | even | 5 | 121.4.c.h.27.1 | 8 | |||
11.10 | odd | 2 | 121.4.c.i.81.1 | 8 | |||
33.5 | odd | 10 | 1089.4.a.y.1.3 | 4 | |||
33.14 | odd | 10 | 99.4.f.c.91.1 | 8 | |||
33.17 | even | 10 | 1089.4.a.bh.1.2 | 4 | |||
44.3 | odd | 10 | 176.4.m.c.113.2 | 8 | |||
44.27 | odd | 10 | 1936.4.a.bk.1.4 | 4 | |||
44.39 | even | 10 | 1936.4.a.bl.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.4.c.a.3.2 | ✓ | 8 | 11.3 | even | 5 | inner | |
11.4.c.a.4.2 | yes | 8 | 1.1 | even | 1 | trivial | |
99.4.f.c.37.1 | 8 | 3.2 | odd | 2 | |||
99.4.f.c.91.1 | 8 | 33.14 | odd | 10 | |||
121.4.a.f.1.3 | 4 | 11.6 | odd | 10 | |||
121.4.a.g.1.2 | 4 | 11.5 | even | 5 | |||
121.4.c.b.9.2 | 8 | 11.7 | odd | 10 | |||
121.4.c.b.27.2 | 8 | 11.2 | odd | 10 | |||
121.4.c.h.9.1 | 8 | 11.4 | even | 5 | |||
121.4.c.h.27.1 | 8 | 11.9 | even | 5 | |||
121.4.c.i.3.1 | 8 | 11.8 | odd | 10 | |||
121.4.c.i.81.1 | 8 | 11.10 | odd | 2 | |||
176.4.m.c.81.2 | 8 | 4.3 | odd | 2 | |||
176.4.m.c.113.2 | 8 | 44.3 | odd | 10 | |||
1089.4.a.y.1.3 | 4 | 33.5 | odd | 10 | |||
1089.4.a.bh.1.2 | 4 | 33.17 | even | 10 | |||
1936.4.a.bk.1.4 | 4 | 44.27 | odd | 10 | |||
1936.4.a.bl.1.4 | 4 | 44.39 | even | 10 |