Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.3 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.48516 | + | 1.80557i | −1.24258 | + | 0.902786i | −0.997767 | − | 0.0667854i | \(-0.978726\pi\) |
−0.244810 | + | 0.969571i | \(0.578726\pi\) | |||||||
\(3\) | 2.97017 | − | 0.422034i | 0.990055 | − | 0.140678i | ||||
\(4\) | 1.67984 | − | 5.17002i | 0.419961 | − | 1.29251i | ||||
\(5\) | 3.94761 | − | 3.06861i | 0.789522 | − | 0.613722i | ||||
\(6\) | −6.61931 | + | 6.41167i | −1.10322 | + | 1.06861i | ||||
\(7\) | − | 8.51768i | − | 1.21681i | −0.793626 | − | 0.608406i | \(-0.791809\pi\) | ||
0.793626 | − | 0.608406i | \(-0.208191\pi\) | |||||||
\(8\) | 1.36320 | + | 4.19549i | 0.170400 | + | 0.524436i | ||||
\(9\) | 8.64377 | − | 2.50702i | 0.960419 | − | 0.278558i | ||||
\(10\) | −4.26983 | + | 14.7537i | −0.426983 | + | 1.47537i | ||||
\(11\) | 8.26702 | + | 11.3786i | 0.751547 | + | 1.03442i | 0.997870 | + | 0.0652283i | \(0.0207776\pi\) |
−0.246323 | + | 0.969188i | \(0.579222\pi\) | |||||||
\(12\) | 2.80748 | − | 16.0648i | 0.233957 | − | 1.33873i | ||||
\(13\) | −9.30743 | + | 12.8106i | −0.715956 | + | 0.985429i | 0.283693 | + | 0.958915i | \(0.408440\pi\) |
−0.999648 | + | 0.0265135i | \(0.991560\pi\) | |||||||
\(14\) | 15.3793 | + | 21.1678i | 1.09852 | + | 1.51198i | ||||
\(15\) | 10.4300 | − | 10.7803i | 0.695333 | − | 0.718687i | ||||
\(16\) | 6.62854 | + | 4.81591i | 0.414284 | + | 0.300995i | ||||
\(17\) | −1.77044 | − | 5.44886i | −0.104144 | − | 0.320521i | 0.885385 | − | 0.464859i | \(-0.153895\pi\) |
−0.989529 | + | 0.144338i | \(0.953895\pi\) | |||||||
\(18\) | −16.9545 | + | 21.8373i | −0.941917 | + | 1.21318i | ||||
\(19\) | −3.71976 | − | 11.4483i | −0.195777 | − | 0.602540i | −0.999967 | − | 0.00816701i | \(-0.997400\pi\) |
0.804190 | − | 0.594373i | \(-0.202600\pi\) | |||||||
\(20\) | −9.23342 | − | 25.5640i | −0.461671 | − | 1.27820i | ||||
\(21\) | −3.59475 | − | 25.2989i | −0.171179 | − | 1.20471i | ||||
\(22\) | −41.0897 | − | 13.3508i | −1.86771 | − | 0.606856i | ||||
\(23\) | −14.5844 | + | 10.5962i | −0.634106 | + | 0.460705i | −0.857820 | − | 0.513950i | \(-0.828182\pi\) |
0.223714 | + | 0.974655i | \(0.428182\pi\) | |||||||
\(24\) | 5.81956 | + | 11.8860i | 0.242482 | + | 0.495249i | ||||
\(25\) | 6.16726 | − | 24.2274i | 0.246690 | − | 0.969094i | ||||
\(26\) | − | 48.6415i | − | 1.87083i | ||||||
\(27\) | 24.6154 | − | 11.0942i | 0.911681 | − | 0.410898i | ||||
\(28\) | −44.0366 | − | 14.3084i | −1.57274 | − | 0.511013i | ||||
\(29\) | −12.3056 | − | 3.99834i | −0.424332 | − | 0.137874i | 0.0890634 | − | 0.996026i | \(-0.471613\pi\) |
−0.513396 | + | 0.858152i | \(0.671613\pi\) | |||||||
\(30\) | −6.45556 | + | 45.6229i | −0.215185 | + | 1.52076i | ||||
\(31\) | 15.5253 | + | 47.7819i | 0.500815 | + | 1.54135i | 0.807694 | + | 0.589602i | \(0.200716\pi\) |
−0.306878 | + | 0.951749i | \(0.599284\pi\) | |||||||
\(32\) | −42.8140 | −1.33794 | ||||||||
\(33\) | 29.3566 | + | 30.3073i | 0.889593 | + | 0.918403i | ||||
\(34\) | 14.2381 | + | 10.3446i | 0.418768 | + | 0.304253i | ||||
\(35\) | −26.1374 | − | 33.6245i | −0.746784 | − | 0.960699i | ||||
\(36\) | 1.55880 | − | 48.8999i | 0.0433001 | − | 1.35833i | ||||
\(37\) | −8.77842 | + | 12.0825i | −0.237255 | + | 0.326553i | −0.910997 | − | 0.412414i | \(-0.864686\pi\) |
0.673742 | + | 0.738967i | \(0.264686\pi\) | |||||||
\(38\) | 29.9148 | + | 21.7344i | 0.787233 | + | 0.571958i | ||||
\(39\) | −22.2381 | + | 41.9776i | −0.570208 | + | 1.07635i | ||||
\(40\) | 18.2557 | + | 12.3790i | 0.456392 | + | 0.309476i | ||||
\(41\) | −6.12463 | + | 8.42982i | −0.149381 | + | 0.205605i | −0.877149 | − | 0.480218i | \(-0.840558\pi\) |
0.727768 | + | 0.685823i | \(0.240558\pi\) | |||||||
\(42\) | 54.6125 | + | 56.3812i | 1.30030 | + | 1.34241i | ||||
\(43\) | − | 63.3058i | − | 1.47223i | −0.676858 | − | 0.736114i | \(-0.736659\pi\) | ||
0.676858 | − | 0.736114i | \(-0.263341\pi\) | |||||||
\(44\) | 72.7148 | − | 23.6265i | 1.65261 | − | 0.536965i | ||||
\(45\) | 26.4292 | − | 36.4211i | 0.587315 | − | 0.809358i | ||||
\(46\) | 17.1124 | − | 52.6665i | 0.372008 | − | 1.14492i | ||||
\(47\) | −13.5880 | + | 41.8196i | −0.289107 | + | 0.889779i | 0.696031 | + | 0.718012i | \(0.254948\pi\) |
−0.985138 | + | 0.171767i | \(0.945052\pi\) | |||||||
\(48\) | 21.7203 | + | 11.5066i | 0.452507 | + | 0.239721i | ||||
\(49\) | −23.5508 | −0.480629 | ||||||||
\(50\) | 28.4176 | + | 71.3442i | 0.568352 | + | 1.42688i | ||||
\(51\) | −7.55811 | − | 15.4368i | −0.148198 | − | 0.302683i | ||||
\(52\) | 50.5960 | + | 69.6394i | 0.972999 | + | 1.33922i | ||||
\(53\) | −5.18106 | + | 15.9456i | −0.0977558 | + | 0.300861i | −0.987962 | − | 0.154696i | \(-0.950560\pi\) |
0.890206 | + | 0.455558i | \(0.150560\pi\) | |||||||
\(54\) | −41.1416 | + | 72.0158i | −0.761882 | + | 1.33363i | ||||
\(55\) | 67.5514 | + | 19.5499i | 1.22821 | + | 0.355453i | ||||
\(56\) | 35.7358 | − | 11.6113i | 0.638139 | − | 0.207344i | ||||
\(57\) | −15.8799 | − | 32.4334i | −0.278594 | − | 0.569006i | ||||
\(58\) | 37.8007 | − | 12.2822i | 0.651736 | − | 0.211762i | ||||
\(59\) | 6.56321 | − | 9.03349i | 0.111241 | − | 0.153110i | −0.749766 | − | 0.661703i | \(-0.769834\pi\) |
0.861007 | + | 0.508593i | \(0.169834\pi\) | |||||||
\(60\) | −38.2137 | − | 72.0326i | −0.636895 | − | 1.20054i | ||||
\(61\) | −46.1744 | + | 33.5477i | −0.756958 | + | 0.549962i | −0.897976 | − | 0.440045i | \(-0.854962\pi\) |
0.141018 | + | 0.990007i | \(0.454962\pi\) | |||||||
\(62\) | −124.856 | − | 90.7134i | −2.01381 | − | 1.46312i | ||||
\(63\) | −21.3540 | − | 73.6249i | −0.338953 | − | 1.16865i | ||||
\(64\) | 79.8853 | − | 58.0401i | 1.24821 | − | 0.906876i | ||||
\(65\) | 2.56856 | + | 79.1320i | 0.0395163 | + | 1.21742i | ||||
\(66\) | −127.678 | − | 22.3130i | −1.93451 | − | 0.338075i | ||||
\(67\) | −53.1837 | + | 17.2804i | −0.793786 | + | 0.257917i | −0.677716 | − | 0.735324i | \(-0.737030\pi\) |
−0.116071 | + | 0.993241i | \(0.537030\pi\) | |||||||
\(68\) | −31.1448 | −0.458012 | ||||||||
\(69\) | −38.8462 | + | 37.6276i | −0.562989 | + | 0.545328i | ||||
\(70\) | 125.667 | + | 36.3691i | 1.79524 | + | 0.519558i | ||||
\(71\) | −22.7473 | − | 7.39106i | −0.320385 | − | 0.104099i | 0.144409 | − | 0.989518i | \(-0.453872\pi\) |
−0.464795 | + | 0.885419i | \(0.653872\pi\) | |||||||
\(72\) | 22.3013 | + | 32.8473i | 0.309741 | + | 0.456212i | ||||
\(73\) | −27.0342 | − | 37.2094i | −0.370332 | − | 0.509718i | 0.582659 | − | 0.812717i | \(-0.302012\pi\) |
−0.952991 | + | 0.302999i | \(0.902012\pi\) | |||||||
\(74\) | − | 45.8769i | − | 0.619958i | ||||||
\(75\) | 8.09301 | − | 74.5621i | 0.107907 | − | 0.994161i | ||||
\(76\) | −65.4364 | −0.861005 | ||||||||
\(77\) | 96.9190 | − | 70.4158i | 1.25869 | − | 0.914491i | ||||
\(78\) | −20.5284 | − | 144.473i | −0.263184 | − | 1.85222i | ||||
\(79\) | −39.1138 | + | 120.380i | −0.495111 | + | 1.52380i | 0.321672 | + | 0.946851i | \(0.395755\pi\) |
−0.816783 | + | 0.576945i | \(0.804245\pi\) | |||||||
\(80\) | 40.9450 | − | 1.32904i | 0.511813 | − | 0.0166130i | ||||
\(81\) | 68.4297 | − | 43.3403i | 0.844811 | − | 0.535066i | ||||
\(82\) | − | 32.0079i | − | 0.390340i | ||||||
\(83\) | 37.0453 | + | 114.014i | 0.446329 | + | 1.37366i | 0.881019 | + | 0.473080i | \(0.156858\pi\) |
−0.434690 | + | 0.900580i | \(0.643142\pi\) | |||||||
\(84\) | −136.835 | − | 23.9132i | −1.62898 | − | 0.284681i | ||||
\(85\) | −23.7094 | − | 16.0772i | −0.278935 | − | 0.189143i | ||||
\(86\) | 114.303 | + | 157.325i | 1.32911 | + | 1.82936i | ||||
\(87\) | −38.2372 | − | 6.68234i | −0.439508 | − | 0.0768085i | ||||
\(88\) | −36.4691 | + | 50.1954i | −0.414422 | + | 0.570402i | ||||
\(89\) | −73.2363 | − | 100.801i | −0.822880 | − | 1.13260i | −0.989207 | − | 0.146526i | \(-0.953191\pi\) |
0.166327 | − | 0.986071i | \(-0.446809\pi\) | |||||||
\(90\) | 0.0803372 | + | 138.232i | 0.000892636 | + | 1.53591i | ||||
\(91\) | 109.116 | + | 79.2777i | 1.19908 | + | 0.871183i | ||||
\(92\) | 30.2831 | + | 93.2018i | 0.329164 | + | 1.01306i | ||||
\(93\) | 66.2782 | + | 135.368i | 0.712669 | + | 1.45557i | ||||
\(94\) | −41.7400 | − | 128.462i | −0.444042 | − | 1.36662i | ||||
\(95\) | −49.8144 | − | 33.7788i | −0.524362 | − | 0.355566i | ||||
\(96\) | −127.165 | + | 18.0690i | −1.32463 | + | 0.188219i | ||||
\(97\) | −14.7318 | − | 4.78667i | −0.151875 | − | 0.0493471i | 0.232093 | − | 0.972694i | \(-0.425443\pi\) |
−0.383968 | + | 0.923347i | \(0.625443\pi\) | |||||||
\(98\) | 58.5275 | − | 42.5227i | 0.597219 | − | 0.433905i | ||||
\(99\) | 99.9846 | + | 77.6282i | 1.00995 | + | 0.784123i | ||||
\(100\) | −114.896 | − | 72.5830i | −1.14896 | − | 0.725830i | ||||
\(101\) | − | 110.020i | − | 1.08930i | −0.838662 | − | 0.544652i | \(-0.816662\pi\) | ||
0.838662 | − | 0.544652i | \(-0.183338\pi\) | |||||||
\(102\) | 46.6554 | + | 24.7162i | 0.457406 | + | 0.242316i | ||||
\(103\) | 117.632 | + | 38.2209i | 1.14206 | + | 0.371077i | 0.818146 | − | 0.575011i | \(-0.195002\pi\) |
0.323911 | + | 0.946088i | \(0.395002\pi\) | |||||||
\(104\) | −66.4344 | − | 21.5859i | −0.638793 | − | 0.207556i | ||||
\(105\) | −91.8232 | − | 88.8394i | −0.874507 | − | 0.846089i | ||||
\(106\) | −15.9153 | − | 48.9822i | −0.150144 | − | 0.462096i | ||||
\(107\) | 146.883 | 1.37274 | 0.686370 | − | 0.727252i | \(-0.259203\pi\) | ||||
0.686370 | + | 0.727252i | \(0.259203\pi\) | |||||||
\(108\) | −16.0075 | − | 145.899i | −0.148218 | − | 1.35091i | ||||
\(109\) | −112.455 | − | 81.7033i | −1.03170 | − | 0.749572i | −0.0630493 | − | 0.998010i | \(-0.520083\pi\) |
−0.968648 | + | 0.248439i | \(0.920083\pi\) | |||||||
\(110\) | −203.175 | + | 73.3842i | −1.84704 | + | 0.667129i | ||||
\(111\) | −20.9742 | + | 39.5917i | −0.188956 | + | 0.356682i | ||||
\(112\) | 41.0204 | − | 56.4597i | 0.366254 | − | 0.504105i | ||||
\(113\) | 31.6597 | + | 23.0021i | 0.280174 | + | 0.203559i | 0.718993 | − | 0.695017i | \(-0.244603\pi\) |
−0.438819 | + | 0.898575i | \(0.644603\pi\) | |||||||
\(114\) | 98.0247 | + | 51.9297i | 0.859866 | + | 0.455524i | ||||
\(115\) | −25.0580 | + | 86.5837i | −0.217896 | + | 0.752901i | ||||
\(116\) | −41.3430 | + | 56.9038i | −0.356406 | + | 0.490550i | ||||
\(117\) | −48.3349 | + | 134.066i | −0.413119 | + | 1.14586i | ||||
\(118\) | 34.3000i | 0.290678i | ||||||||
\(119\) | −46.4116 | + | 15.0800i | −0.390014 | + | 0.126723i | ||||
\(120\) | 59.4468 | + | 29.0632i | 0.495390 | + | 0.242194i | ||||
\(121\) | −23.7373 | + | 73.0560i | −0.196176 | + | 0.603769i | ||||
\(122\) | 54.1779 | − | 166.742i | 0.444081 | − | 1.36674i | ||||
\(123\) | −14.6335 | + | 27.6228i | −0.118971 | + | 0.224575i | ||||
\(124\) | 273.114 | 2.20253 | ||||||||
\(125\) | −49.9984 | − | 114.565i | −0.399987 | − | 0.916521i | ||||
\(126\) | 186.003 | + | 144.413i | 1.47621 | + | 1.14614i | ||||
\(127\) | 43.7937 | + | 60.2768i | 0.344832 | + | 0.474621i | 0.945845 | − | 0.324619i | \(-0.105236\pi\) |
−0.601013 | + | 0.799239i | \(0.705236\pi\) | |||||||
\(128\) | −40.8109 | + | 125.603i | −0.318835 | + | 0.981274i | ||||
\(129\) | −26.7172 | − | 188.029i | −0.207110 | − | 1.45759i | ||||
\(130\) | −149.262 | − | 192.018i | −1.14817 | − | 1.47706i | ||||
\(131\) | −5.91588 | + | 1.92219i | −0.0451594 | + | 0.0146732i | −0.331510 | − | 0.943452i | \(-0.607558\pi\) |
0.286350 | + | 0.958125i | \(0.407558\pi\) | |||||||
\(132\) | 206.004 | − | 100.863i | 1.56064 | − | 0.764111i | ||||
\(133\) | −97.5126 | + | 31.6838i | −0.733177 | + | 0.238224i | ||||
\(134\) | 100.969 | − | 138.971i | 0.753497 | − | 1.03710i | ||||
\(135\) | 63.1281 | − | 119.331i | 0.467615 | − | 0.883932i | ||||
\(136\) | 20.4472 | − | 14.8557i | 0.150347 | − | 0.109233i | ||||
\(137\) | −71.2835 | − | 51.7905i | −0.520317 | − | 0.378033i | 0.296406 | − | 0.955062i | \(-0.404212\pi\) |
−0.816723 | + | 0.577029i | \(0.804212\pi\) | |||||||
\(138\) | 28.5995 | − | 163.650i | 0.207243 | − | 1.18587i | ||||
\(139\) | 86.2740 | − | 62.6818i | 0.620676 | − | 0.450948i | −0.232481 | − | 0.972601i | \(-0.574684\pi\) |
0.853158 | + | 0.521653i | \(0.174684\pi\) | |||||||
\(140\) | −217.746 | + | 78.6473i | −1.55533 | + | 0.561767i | ||||
\(141\) | −22.7094 | + | 129.946i | −0.161059 | + | 0.921602i | ||||
\(142\) | 69.8758 | − | 22.7040i | 0.492083 | − | 0.159887i | ||||
\(143\) | −222.711 | −1.55742 | ||||||||
\(144\) | 69.3692 | + | 25.0098i | 0.481730 | + | 0.173679i | ||||
\(145\) | −60.8472 | + | 21.9773i | −0.419636 | + | 0.151567i | ||||
\(146\) | 134.368 | + | 43.6590i | 0.920332 | + | 0.299034i | ||||
\(147\) | −69.9499 | + | 9.93926i | −0.475849 | + | 0.0676140i | ||||
\(148\) | 47.7203 | + | 65.6813i | 0.322434 | + | 0.443793i | ||||
\(149\) | 62.8102i | 0.421545i | 0.977535 | + | 0.210773i | \(0.0675980\pi\) | ||||
−0.977535 | + | 0.210773i | \(0.932402\pi\) | |||||||
\(150\) | 114.515 | + | 199.911i | 0.763432 | + | 1.33274i | ||||
\(151\) | 194.723 | 1.28955 | 0.644777 | − | 0.764371i | \(-0.276950\pi\) | ||||
0.644777 | + | 0.764371i | \(0.276950\pi\) | |||||||
\(152\) | 42.9602 | − | 31.2124i | 0.282633 | − | 0.205345i | ||||
\(153\) | −28.9637 | − | 42.6602i | −0.189305 | − | 0.278825i | ||||
\(154\) | −113.718 | + | 349.988i | −0.738430 | + | 2.27265i | ||||
\(155\) | 207.912 | + | 140.983i | 1.34137 | + | 0.909569i | ||||
\(156\) | 179.669 | + | 185.487i | 1.15172 | + | 1.18902i | ||||
\(157\) | − | 26.9686i | − | 0.171775i | −0.996305 | − | 0.0858873i | \(-0.972627\pi\) | ||
0.996305 | − | 0.0858873i | \(-0.0273725\pi\) | |||||||
\(158\) | −120.151 | − | 369.785i | −0.760447 | − | 2.34041i | ||||
\(159\) | −8.65898 | + | 49.5478i | −0.0544590 | + | 0.311621i | ||||
\(160\) | −169.013 | + | 131.379i | −1.05633 | + | 0.821122i | ||||
\(161\) | 90.2551 | + | 124.226i | 0.560591 | + | 0.771587i | ||||
\(162\) | −91.8043 | + | 231.262i | −0.566693 | + | 1.42754i | ||||
\(163\) | −46.9451 | + | 64.6144i | −0.288007 | + | 0.396407i | −0.928365 | − | 0.371669i | \(-0.878786\pi\) |
0.640359 | + | 0.768076i | \(0.278786\pi\) | |||||||
\(164\) | 33.2940 | + | 45.8252i | 0.203012 | + | 0.279422i | ||||
\(165\) | 208.890 | + | 29.5575i | 1.26600 | + | 0.179137i | ||||
\(166\) | −297.923 | − | 216.454i | −1.79472 | − | 1.30394i | ||||
\(167\) | 31.9782 | + | 98.4187i | 0.191486 | + | 0.589334i | 1.00000 | 0.000856120i | \(0.000272511\pi\) | |
−0.808513 | + | 0.588478i | \(0.799727\pi\) | |||||||
\(168\) | 101.241 | − | 49.5691i | 0.602624 | − | 0.295054i | ||||
\(169\) | −25.2587 | − | 77.7384i | −0.149460 | − | 0.459991i | ||||
\(170\) | 87.9501 | − | 2.85479i | 0.517354 | − | 0.0167929i | ||||
\(171\) | −60.8539 | − | 89.6306i | −0.355871 | − | 0.524156i | ||||
\(172\) | −327.292 | − | 106.344i | −1.90286 | − | 0.618278i | ||||
\(173\) | 168.835 | − | 122.665i | 0.975922 | − | 0.709049i | 0.0191287 | − | 0.999817i | \(-0.493911\pi\) |
0.956794 | + | 0.290768i | \(0.0939108\pi\) | |||||||
\(174\) | 107.091 | − | 52.4333i | 0.615465 | − | 0.301341i | ||||
\(175\) | −206.361 | − | 52.5307i | −1.17920 | − | 0.300176i | ||||
\(176\) | 115.237i | 0.654753i | ||||||||
\(177\) | 15.6814 | − | 29.6009i | 0.0885954 | − | 0.167236i | ||||
\(178\) | 364.007 | + | 118.273i | 2.04498 | + | 0.664456i | ||||
\(179\) | 9.10707 | + | 2.95907i | 0.0508775 | + | 0.0165311i | 0.334345 | − | 0.942451i | \(-0.391485\pi\) |
−0.283468 | + | 0.958982i | \(0.591485\pi\) | |||||||
\(180\) | −143.901 | − | 197.821i | −0.799451 | − | 1.09901i | ||||
\(181\) | −89.2487 | − | 274.679i | −0.493087 | − | 1.51757i | −0.819917 | − | 0.572482i | \(-0.805981\pi\) |
0.326830 | − | 0.945083i | \(-0.394019\pi\) | |||||||
\(182\) | −414.312 | −2.27644 | ||||||||
\(183\) | −122.987 | + | 119.129i | −0.672063 | + | 0.650980i | ||||
\(184\) | −64.3377 | − | 46.7441i | −0.349661 | − | 0.254044i | ||||
\(185\) | 2.42257 | + | 74.6344i | 0.0130950 | + | 0.403429i | ||||
\(186\) | −409.128 | − | 216.740i | −2.19961 | − | 1.16527i | ||||
\(187\) | 47.3640 | − | 65.1909i | 0.253283 | − | 0.348615i | ||||
\(188\) | 193.383 | + | 140.501i | 1.02863 | + | 0.747344i | ||||
\(189\) | −94.4972 | − | 209.666i | −0.499985 | − | 1.10934i | ||||
\(190\) | 184.787 | − | 5.99802i | 0.972561 | − | 0.0315685i | ||||
\(191\) | 208.379 | − | 286.809i | 1.09099 | − | 1.50162i | 0.244174 | − | 0.969731i | \(-0.421483\pi\) |
0.846815 | − | 0.531887i | \(-0.178517\pi\) | |||||||
\(192\) | 212.778 | − | 206.103i | 1.10822 | − | 1.07345i | ||||
\(193\) | − | 226.530i | − | 1.17373i | −0.809685 | − | 0.586864i | \(-0.800362\pi\) | ||
0.809685 | − | 0.586864i | \(-0.199638\pi\) | |||||||
\(194\) | 45.2536 | − | 14.7038i | 0.233266 | − | 0.0757927i | ||||
\(195\) | 41.0255 | + | 233.951i | 0.210387 | + | 1.19975i | ||||
\(196\) | −39.5617 | + | 121.758i | −0.201845 | + | 0.621216i | ||||
\(197\) | −27.8358 | + | 85.6699i | −0.141299 | + | 0.434872i | −0.996516 | − | 0.0833963i | \(-0.973423\pi\) |
0.855218 | + | 0.518269i | \(0.173423\pi\) | |||||||
\(198\) | −388.641 | − | 12.3889i | −1.96283 | − | 0.0625700i | ||||
\(199\) | −196.569 | −0.987782 | −0.493891 | − | 0.869524i | \(-0.664426\pi\) | ||||
−0.493891 | + | 0.869524i | \(0.664426\pi\) | |||||||
\(200\) | 110.053 | − | 7.15198i | 0.550264 | − | 0.0357599i | ||||
\(201\) | −150.671 | + | 73.7711i | −0.749609 | + | 0.367020i | ||||
\(202\) | 198.648 | + | 273.416i | 0.983408 | + | 1.35354i | ||||
\(203\) | −34.0566 | + | 104.815i | −0.167766 | + | 0.516332i | ||||
\(204\) | −92.5052 | + | 13.1442i | −0.453457 | + | 0.0644322i | ||||
\(205\) | 1.69021 | + | 52.0718i | 0.00824491 | + | 0.254009i | ||||
\(206\) | −361.344 | + | 117.408i | −1.75410 | + | 0.569940i | ||||
\(207\) | −99.4996 | + | 128.155i | −0.480674 | + | 0.619105i | ||||
\(208\) | −123.389 | + | 40.0916i | −0.593217 | + | 0.192748i | ||||
\(209\) | 99.5135 | − | 136.969i | 0.476141 | − | 0.655352i | ||||
\(210\) | 388.601 | + | 54.9864i | 1.85048 | + | 0.261840i | ||||
\(211\) | 46.5447 | − | 33.8167i | 0.220591 | − | 0.160269i | −0.472002 | − | 0.881598i | \(-0.656468\pi\) |
0.692593 | + | 0.721329i | \(0.256468\pi\) | |||||||
\(212\) | 73.7360 | + | 53.5724i | 0.347811 | + | 0.252700i | ||||
\(213\) | −70.6827 | − | 12.3525i | −0.331844 | − | 0.0579930i | ||||
\(214\) | −365.028 | + | 265.208i | −1.70574 | + | 1.23929i | ||||
\(215\) | −194.261 | − | 249.907i | −0.903539 | − | 1.16236i | ||||
\(216\) | 80.1014 | + | 88.1499i | 0.370840 | + | 0.408101i | ||||
\(217\) | 406.991 | − | 132.239i | 1.87553 | − | 0.609398i | ||||
\(218\) | 426.989 | 1.95867 | ||||||||
\(219\) | −95.9998 | − | 99.1088i | −0.438355 | − | 0.452551i | ||||
\(220\) | 214.549 | − | 316.402i | 0.975224 | − | 1.43819i | ||||
\(221\) | 86.2813 | + | 28.0345i | 0.390413 | + | 0.126853i | ||||
\(222\) | −19.3616 | − | 136.262i | −0.0872145 | − | 0.613792i | ||||
\(223\) | −0.695830 | − | 0.957728i | −0.00312031 | − | 0.00429474i | 0.807454 | − | 0.589931i | \(-0.200845\pi\) |
−0.810574 | + | 0.585636i | \(0.800845\pi\) | |||||||
\(224\) | 364.676i | 1.62802i | ||||||||
\(225\) | −7.43017 | − | 224.877i | −0.0330230 | − | 0.999455i | ||||
\(226\) | −120.211 | −0.531908 | ||||||||
\(227\) | −303.095 | + | 220.211i | −1.33522 | + | 0.970094i | −0.335615 | + | 0.941999i | \(0.608944\pi\) |
−0.999605 | + | 0.0280952i | \(0.991056\pi\) | |||||||
\(228\) | −194.357 | + | 27.6164i | −0.852443 | + | 0.121125i | ||||
\(229\) | 14.3743 | − | 44.2396i | 0.0627699 | − | 0.193186i | −0.914754 | − | 0.404012i | \(-0.867615\pi\) |
0.977524 | + | 0.210826i | \(0.0676154\pi\) | |||||||
\(230\) | −94.0599 | − | 260.418i | −0.408956 | − | 1.13225i | ||||
\(231\) | 258.148 | − | 250.050i | 1.11752 | − | 1.08247i | ||||
\(232\) | − | 57.0786i | − | 0.246029i | ||||||
\(233\) | 61.3301 | + | 188.755i | 0.263219 | + | 0.810106i | 0.992098 | + | 0.125463i | \(0.0400417\pi\) |
−0.728879 | + | 0.684643i | \(0.759958\pi\) | |||||||
\(234\) | −121.945 | − | 420.446i | −0.521134 | − | 1.79678i | ||||
\(235\) | 74.6879 | + | 206.784i | 0.317821 | + | 0.879931i | ||||
\(236\) | −35.6782 | − | 49.1068i | −0.151179 | − | 0.208080i | ||||
\(237\) | −65.3700 | + | 374.056i | −0.275823 | + | 1.57829i | ||||
\(238\) | 88.1120 | − | 121.276i | 0.370218 | − | 0.509562i | ||||
\(239\) | 139.718 | + | 192.306i | 0.584596 | + | 0.804627i | 0.994190 | − | 0.107641i | \(-0.0343296\pi\) |
−0.409594 | + | 0.912268i | \(0.634330\pi\) | |||||||
\(240\) | 121.053 | − | 21.2277i | 0.504386 | − | 0.0884487i | ||||
\(241\) | 134.681 | + | 97.8517i | 0.558844 | + | 0.406024i | 0.831036 | − | 0.556219i | \(-0.187749\pi\) |
−0.272192 | + | 0.962243i | \(0.587749\pi\) | |||||||
\(242\) | −72.9169 | − | 224.415i | −0.301309 | − | 0.927335i | ||||
\(243\) | 184.956 | − | 157.608i | 0.761137 | − | 0.648591i | ||||
\(244\) | 95.8766 | + | 295.078i | 0.392937 | + | 1.20933i | ||||
\(245\) | −92.9695 | + | 72.2683i | −0.379467 | + | 0.294973i | ||||
\(246\) | −13.5084 | − | 95.0687i | −0.0549123 | − | 0.386458i | ||||
\(247\) | 181.280 | + | 58.9015i | 0.733928 | + | 0.238468i | ||||
\(248\) | −179.304 | + | 130.272i | −0.723001 | + | 0.525291i | ||||
\(249\) | 158.149 | + | 323.005i | 0.635135 | + | 1.29721i | ||||
\(250\) | 331.109 | + | 194.436i | 1.32444 | + | 0.777746i | ||||
\(251\) | − | 378.123i | − | 1.50647i | −0.657753 | − | 0.753234i | \(-0.728493\pi\) | ||
0.657753 | − | 0.753234i | \(-0.271507\pi\) | |||||||
\(252\) | −416.514 | − | 13.2774i | −1.65283 | − | 0.0526880i | ||||
\(253\) | −241.140 | − | 78.3510i | −0.953121 | − | 0.309688i | ||||
\(254\) | −217.668 | − | 70.7247i | −0.856961 | − | 0.278444i | ||||
\(255\) | −77.2061 | − | 37.7457i | −0.302769 | − | 0.148022i | ||||
\(256\) | −3.30992 | − | 10.1869i | −0.0129294 | − | 0.0397925i | ||||
\(257\) | 424.386 | 1.65131 | 0.825653 | − | 0.564178i | \(-0.190807\pi\) | ||||
0.825653 | + | 0.564178i | \(0.190807\pi\) | |||||||
\(258\) | 405.896 | + | 419.041i | 1.57324 | + | 1.62419i | ||||
\(259\) | 102.915 | + | 74.7718i | 0.397353 | + | 0.288694i | ||||
\(260\) | 413.429 | + | 119.650i | 1.59011 | + | 0.460192i | ||||
\(261\) | −116.391 | − | 3.71024i | −0.445943 | − | 0.0142155i | ||||
\(262\) | 11.2312 | − | 15.4585i | 0.0428673 | − | 0.0590018i | ||||
\(263\) | −152.178 | − | 110.564i | −0.578622 | − | 0.420394i | 0.259605 | − | 0.965715i | \(-0.416408\pi\) |
−0.838227 | + | 0.545321i | \(0.816408\pi\) | |||||||
\(264\) | −87.1351 | + | 164.480i | −0.330057 | + | 0.623030i | ||||
\(265\) | 28.4782 | + | 78.8459i | 0.107465 | + | 0.297532i | ||||
\(266\) | 185.127 | − | 254.805i | 0.695965 | − | 0.957913i | ||||
\(267\) | −260.066 | − | 268.488i | −0.974028 | − | 1.00557i | ||||
\(268\) | 303.989i | 1.13429i | ||||||||
\(269\) | −147.267 | + | 47.8501i | −0.547462 | + | 0.177881i | −0.569672 | − | 0.821872i | \(-0.692930\pi\) |
0.0222099 | + | 0.999753i | \(0.492930\pi\) | |||||||
\(270\) | 58.5772 | + | 410.538i | 0.216953 | + | 1.52051i | ||||
\(271\) | 36.4736 | − | 112.254i | 0.134589 | − | 0.414222i | −0.860937 | − | 0.508712i | \(-0.830122\pi\) |
0.995526 | + | 0.0944895i | \(0.0301219\pi\) | |||||||
\(272\) | 14.5058 | − | 44.6443i | 0.0533301 | − | 0.164133i | ||||
\(273\) | 357.552 | + | 189.417i | 1.30971 | + | 0.693835i | ||||
\(274\) | 270.662 | 0.987817 | ||||||||
\(275\) | 326.658 | − | 130.113i | 1.18785 | − | 0.473140i | ||||
\(276\) | 129.280 | + | 264.044i | 0.468407 | + | 0.956683i | ||||
\(277\) | 10.4963 | + | 14.4470i | 0.0378929 | + | 0.0521551i | 0.827543 | − | 0.561402i | \(-0.189738\pi\) |
−0.789650 | + | 0.613557i | \(0.789738\pi\) | |||||||
\(278\) | −101.228 | + | 311.548i | −0.364130 | + | 1.12068i | ||||
\(279\) | 253.987 | + | 374.094i | 0.910349 | + | 1.34084i | ||||
\(280\) | 105.441 | − | 155.496i | 0.376573 | − | 0.555343i | ||||
\(281\) | −418.333 | + | 135.925i | −1.48873 | + | 0.483718i | −0.936708 | − | 0.350111i | \(-0.886144\pi\) |
−0.552022 | + | 0.833829i | \(0.686144\pi\) | |||||||
\(282\) | −178.190 | − | 363.939i | −0.631880 | − | 1.29056i | ||||
\(283\) | 67.6632 | − | 21.9851i | 0.239092 | − | 0.0776858i | −0.187020 | − | 0.982356i | \(-0.559883\pi\) |
0.426112 | + | 0.904670i | \(0.359883\pi\) | |||||||
\(284\) | −76.4239 | + | 105.189i | −0.269098 | + | 0.370382i | ||||
\(285\) | −162.213 | − | 79.3051i | −0.569168 | − | 0.278264i | ||||
\(286\) | 553.471 | − | 402.120i | 1.93521 | − | 1.40601i | ||||
\(287\) | 71.8025 | + | 52.1676i | 0.250183 | + | 0.181769i | ||||
\(288\) | −370.075 | + | 107.336i | −1.28498 | + | 0.372694i | ||||
\(289\) | 207.250 | − | 150.576i | 0.717129 | − | 0.521025i | ||||
\(290\) | 111.533 | − | 164.481i | 0.384597 | − | 0.567176i | ||||
\(291\) | −45.7762 | − | 7.99985i | −0.157306 | − | 0.0274909i | ||||
\(292\) | −237.787 | + | 77.2616i | −0.814338 | + | 0.264595i | ||||
\(293\) | −436.727 | −1.49054 | −0.745268 | − | 0.666765i | \(-0.767678\pi\) | ||||
−0.745268 | + | 0.666765i | \(0.767678\pi\) | |||||||
\(294\) | 155.890 | − | 151.000i | 0.530239 | − | 0.513606i | ||||
\(295\) | −1.81124 | − | 55.8006i | −0.00613981 | − | 0.189155i | ||||
\(296\) | −62.6585 | − | 20.3590i | −0.211684 | − | 0.0687804i | ||||
\(297\) | 329.733 | + | 188.372i | 1.11021 | + | 0.634248i | ||||
\(298\) | −113.408 | − | 156.093i | −0.380565 | − | 0.523803i | ||||
\(299\) | − | 285.458i | − | 0.954711i | ||||||
\(300\) | −371.893 | − | 167.094i | −1.23964 | − | 0.556979i | ||||
\(301\) | −539.218 | −1.79142 | ||||||||
\(302\) | −483.916 | + | 351.586i | −1.60237 | + | 1.16419i | ||||
\(303\) | −46.4321 | − | 326.777i | −0.153241 | − | 1.07847i | ||||
\(304\) | 30.4772 | − | 93.7993i | 0.100254 | − | 0.308550i | ||||
\(305\) | −79.3339 | + | 274.125i | −0.260111 | + | 0.898769i | ||||
\(306\) | 149.005 | + | 53.7211i | 0.486945 | + | 0.175559i | ||||
\(307\) | − | 363.119i | − | 1.18280i | −0.806380 | − | 0.591398i | \(-0.798576\pi\) | ||
0.806380 | − | 0.591398i | \(-0.201424\pi\) | |||||||
\(308\) | −201.243 | − | 619.361i | −0.653385 | − | 2.01091i | ||||
\(309\) | 365.516 | + | 63.8777i | 1.18290 | + | 0.206724i | ||||
\(310\) | −771.248 | + | 25.0341i | −2.48790 | + | 0.0807551i | ||||
\(311\) | −192.890 | − | 265.490i | −0.620225 | − | 0.853667i | 0.377144 | − | 0.926155i | \(-0.376906\pi\) |
−0.997369 | + | 0.0724880i | \(0.976906\pi\) | |||||||
\(312\) | −206.431 | − | 36.0760i | −0.661639 | − | 0.115628i | ||||
\(313\) | −25.3815 | + | 34.9346i | −0.0810910 | + | 0.111612i | −0.847635 | − | 0.530579i | \(-0.821975\pi\) |
0.766544 | + | 0.642191i | \(0.221975\pi\) | |||||||
\(314\) | 48.6938 | + | 67.0212i | 0.155076 | + | 0.213443i | ||||
\(315\) | −310.223 | − | 225.115i | −0.984836 | − | 0.714651i | ||||
\(316\) | 556.662 | + | 404.439i | 1.76159 | + | 1.27987i | ||||
\(317\) | −44.2850 | − | 136.295i | −0.139700 | − | 0.429953i | 0.856591 | − | 0.515996i | \(-0.172578\pi\) |
−0.996291 | + | 0.0860424i | \(0.972578\pi\) | |||||||
\(318\) | −67.9432 | − | 138.768i | −0.213658 | − | 0.436379i | ||||
\(319\) | −56.2355 | − | 173.075i | −0.176287 | − | 0.542555i | ||||
\(320\) | 137.254 | − | 474.256i | 0.428918 | − | 1.48205i | ||||
\(321\) | 436.268 | − | 61.9898i | 1.35909 | − | 0.193115i | ||||
\(322\) | −448.596 | − | 145.758i | −1.39316 | − | 0.452664i | ||||
\(323\) | −55.7943 | + | 40.5369i | −0.172738 | + | 0.125501i | ||||
\(324\) | −109.119 | − | 426.588i | −0.336788 | − | 1.31663i | ||||
\(325\) | 252.965 | + | 304.501i | 0.778354 | + | 0.936925i | ||||
\(326\) | − | 245.340i | − | 0.752575i | ||||||
\(327\) | −368.492 | − | 195.213i | −1.12689 | − | 0.596980i | ||||
\(328\) | −43.7163 | − | 14.2043i | −0.133281 | − | 0.0433057i | ||||
\(329\) | 356.206 | + | 115.738i | 1.08269 | + | 0.351788i | ||||
\(330\) | −572.491 | + | 303.710i | −1.73482 | + | 0.920333i | ||||
\(331\) | 122.190 | + | 376.061i | 0.369153 | + | 1.13614i | 0.947340 | + | 0.320231i | \(0.103760\pi\) |
−0.578187 | + | 0.815904i | \(0.696240\pi\) | |||||||
\(332\) | 651.684 | 1.96290 | ||||||||
\(333\) | −45.5877 | + | 126.446i | −0.136900 | + | 0.379717i | ||||
\(334\) | −257.173 | − | 186.847i | −0.769978 | − | 0.559422i | ||||
\(335\) | −156.922 | + | 231.416i | −0.468423 | + | 0.690795i | ||||
\(336\) | 98.0094 | − | 185.007i | 0.291695 | − | 0.550615i | ||||
\(337\) | −208.189 | + | 286.548i | −0.617771 | + | 0.850289i | −0.997188 | − | 0.0749364i | \(-0.976125\pi\) |
0.379417 | + | 0.925226i | \(0.376125\pi\) | |||||||
\(338\) | 203.134 | + | 147.586i | 0.600989 | + | 0.436644i | ||||
\(339\) | 103.742 | + | 54.9586i | 0.306024 | + | 0.162120i | ||||
\(340\) | −122.948 | + | 95.5712i | −0.361610 | + | 0.281092i | ||||
\(341\) | −415.342 | + | 571.669i | −1.21801 | + | 1.67645i | ||||
\(342\) | 313.066 | + | 112.870i | 0.915397 | + | 0.330029i | ||||
\(343\) | − | 216.768i | − | 0.631976i | ||||||
\(344\) | 265.599 | − | 86.2982i | 0.772089 | − | 0.250867i | ||||
\(345\) | −37.8852 | + | 267.743i | −0.109812 | + | 0.776067i | ||||
\(346\) | −198.099 | + | 609.686i | −0.572540 | + | 1.76210i | ||||
\(347\) | 92.6204 | − | 285.056i | 0.266918 | − | 0.821488i | −0.724328 | − | 0.689456i | \(-0.757850\pi\) |
0.991245 | − | 0.132032i | \(-0.0421502\pi\) | |||||||
\(348\) | −98.7803 | + | 186.462i | −0.283852 | + | 0.535810i | ||||
\(349\) | 63.9740 | 0.183307 | 0.0916533 | − | 0.995791i | \(-0.470785\pi\) | ||||
0.0916533 | + | 0.995791i | \(0.470785\pi\) | |||||||
\(350\) | 607.687 | − | 242.052i | 1.73625 | − | 0.691577i | ||||
\(351\) | −86.9823 | + | 418.596i | −0.247813 | + | 1.19258i | ||||
\(352\) | −353.944 | − | 487.162i | −1.00552 | − | 1.38398i | ||||
\(353\) | 46.7645 | − | 143.926i | 0.132477 | − | 0.407723i | −0.862712 | − | 0.505696i | \(-0.831236\pi\) |
0.995189 | + | 0.0979728i | \(0.0312358\pi\) | |||||||
\(354\) | 14.4758 | + | 101.877i | 0.0408920 | + | 0.287787i | ||||
\(355\) | −112.478 | + | 40.6257i | −0.316839 | + | 0.114439i | ||||
\(356\) | −644.170 | + | 209.303i | −1.80947 | + | 0.587931i | ||||
\(357\) | −131.486 | + | 64.3776i | −0.368308 | + | 0.180329i | ||||
\(358\) | −27.9753 | + | 9.08973i | −0.0781433 | + | 0.0253903i | ||||
\(359\) | −76.1712 | + | 104.841i | −0.212176 | + | 0.292035i | −0.901819 | − | 0.432115i | \(-0.857768\pi\) |
0.689643 | + | 0.724150i | \(0.257768\pi\) | |||||||
\(360\) | 188.833 | + | 61.2341i | 0.524535 | + | 0.170095i | ||||
\(361\) | 174.829 | − | 127.021i | 0.484291 | − | 0.351858i | ||||
\(362\) | 717.750 | + | 521.476i | 1.98273 | + | 1.44054i | ||||
\(363\) | −39.6717 | + | 227.006i | −0.109288 | + | 0.625362i | ||||
\(364\) | 593.166 | − | 430.960i | 1.62958 | − | 1.18396i | ||||
\(365\) | −220.902 | − | 63.9308i | −0.605210 | − | 0.175153i | ||||
\(366\) | 90.5463 | − | 518.118i | 0.247394 | − | 1.41562i | ||||
\(367\) | −138.102 | + | 44.8722i | −0.376300 | + | 0.122267i | −0.491060 | − | 0.871126i | \(-0.663390\pi\) |
0.114759 | + | 0.993393i | \(0.463390\pi\) | |||||||
\(368\) | −147.704 | −0.401369 | ||||||||
\(369\) | −31.8061 | + | 88.2201i | −0.0861954 | + | 0.239079i | ||||
\(370\) | −140.778 | − | 181.104i | −0.380482 | − | 0.489470i | ||||
\(371\) | 135.820 | + | 44.1306i | 0.366091 | + | 0.118950i | ||||
\(372\) | 811.193 | − | 115.263i | 2.18063 | − | 0.309848i | ||||
\(373\) | 227.483 | + | 313.103i | 0.609874 | + | 0.839419i | 0.996567 | − | 0.0827892i | \(-0.0263828\pi\) |
−0.386693 | + | 0.922208i | \(0.626383\pi\) | |||||||
\(374\) | 247.529i | 0.661841i | ||||||||
\(375\) | −196.854 | − | 319.176i | −0.524944 | − | 0.851137i | ||||
\(376\) | −193.977 | −0.515896 | ||||||||
\(377\) | 165.755 | − | 120.428i | 0.439668 | − | 0.319437i | ||||
\(378\) | 613.407 | + | 350.431i | 1.62277 | + | 0.927066i | ||||
\(379\) | −30.2680 | + | 93.1553i | −0.0798628 | + | 0.245792i | −0.983014 | − | 0.183530i | \(-0.941248\pi\) |
0.903151 | + | 0.429322i | \(0.141248\pi\) | |||||||
\(380\) | −258.317 | + | 200.799i | −0.679783 | + | 0.528418i | ||||
\(381\) | 155.513 | + | 160.550i | 0.408172 | + | 0.421390i | ||||
\(382\) | 1089.01i | 2.85081i | ||||||||
\(383\) | 58.2482 | + | 179.270i | 0.152084 | + | 0.468067i | 0.997854 | − | 0.0654813i | \(-0.0208583\pi\) |
−0.845770 | + | 0.533548i | \(0.820858\pi\) | |||||||
\(384\) | −68.2064 | + | 390.286i | −0.177621 | + | 1.01637i | ||||
\(385\) | 166.520 | − | 575.381i | 0.432519 | − | 1.49450i | ||||
\(386\) | 409.015 | + | 562.961i | 1.05963 | + | 1.45845i | ||||
\(387\) | −158.709 | − | 547.201i | −0.410101 | − | 1.41396i | ||||
\(388\) | −49.4944 | + | 68.1232i | −0.127563 | + | 0.175575i | ||||
\(389\) | −156.519 | − | 215.429i | −0.402361 | − | 0.553803i | 0.558973 | − | 0.829186i | \(-0.311195\pi\) |
−0.961335 | + | 0.275383i | \(0.911195\pi\) | |||||||
\(390\) | −524.370 | − | 507.331i | −1.34454 | − | 1.30085i | ||||
\(391\) | 83.5582 | + | 60.7086i | 0.213704 | + | 0.155265i | ||||
\(392\) | −32.1044 | − | 98.8072i | −0.0818990 | − | 0.252059i | ||||
\(393\) | −16.7599 | + | 8.20592i | −0.0426461 | + | 0.0208802i | ||||
\(394\) | −85.5067 | − | 263.163i | −0.217022 | − | 0.667925i | ||||
\(395\) | 214.993 | + | 595.238i | 0.544286 | + | 1.50693i | ||||
\(396\) | 569.298 | − | 386.520i | 1.43762 | − | 0.976060i | ||||
\(397\) | −156.788 | − | 50.9435i | −0.394932 | − | 0.128321i | 0.104817 | − | 0.994492i | \(-0.466574\pi\) |
−0.499749 | + | 0.866170i | \(0.666574\pi\) | |||||||
\(398\) | 488.504 | − | 354.919i | 1.22740 | − | 0.891756i | ||||
\(399\) | −276.257 | + | 135.260i | −0.692373 | + | 0.338997i | ||||
\(400\) | 157.557 | − | 130.891i | 0.393892 | − | 0.327227i | ||||
\(401\) | 107.586i | 0.268295i | 0.990961 | + | 0.134148i | \(0.0428297\pi\) | ||||
−0.990961 | + | 0.134148i | \(0.957170\pi\) | |||||||
\(402\) | 241.243 | − | 455.381i | 0.600107 | − | 1.13279i | ||||
\(403\) | −756.614 | − | 245.839i | −1.87745 | − | 0.610022i | ||||
\(404\) | −568.804 | − | 184.816i | −1.40793 | − | 0.457465i | ||||
\(405\) | 137.139 | − | 381.075i | 0.338615 | − | 0.940925i | ||||
\(406\) | −104.616 | − | 321.974i | −0.257674 | − | 0.793040i | ||||
\(407\) | −210.053 | −0.516100 | ||||||||
\(408\) | 54.4618 | − | 52.7534i | 0.133485 | − | 0.129298i | ||||
\(409\) | −188.833 | − | 137.195i | −0.461694 | − | 0.335440i | 0.332501 | − | 0.943103i | \(-0.392107\pi\) |
−0.794195 | + | 0.607662i | \(0.792107\pi\) | |||||||
\(410\) | −98.2197 | − | 126.355i | −0.239560 | − | 0.308182i | ||||
\(411\) | −233.581 | − | 123.742i | −0.568324 | − | 0.301076i | ||||
\(412\) | 395.206 | − | 543.954i | 0.959237 | − | 1.32028i | ||||
\(413\) | −76.9443 | − | 55.9033i | −0.186306 | − | 0.135359i | ||||
\(414\) | 15.8794 | − | 498.138i | 0.0383559 | − | 1.20323i | ||||
\(415\) | 496.104 | + | 336.404i | 1.19543 | + | 0.810613i | ||||
\(416\) | 398.488 | − | 548.472i | 0.957904 | − | 1.31844i | ||||
\(417\) | 229.794 | − | 222.586i | 0.551066 | − | 0.533779i | ||||
\(418\) | 520.067i | 1.24418i | ||||||||
\(419\) | −173.499 | + | 56.3734i | −0.414080 | + | 0.134543i | −0.508646 | − | 0.860976i | \(-0.669854\pi\) |
0.0945659 | + | 0.995519i | \(0.469854\pi\) | |||||||
\(420\) | −613.550 | + | 325.492i | −1.46083 | + | 0.774981i | ||||
\(421\) | −5.86024 | + | 18.0360i | −0.0139198 | + | 0.0428408i | −0.957775 | − | 0.287518i | \(-0.907170\pi\) |
0.943855 | + | 0.330359i | \(0.107170\pi\) | |||||||
\(422\) | −54.6124 | + | 168.080i | −0.129413 | + | 0.398293i | ||||
\(423\) | −12.6089 | + | 395.545i | −0.0298084 | + | 0.935094i | ||||
\(424\) | −73.9626 | −0.174440 | ||||||||
\(425\) | −142.930 | + | 9.28858i | −0.336306 | + | 0.0218555i | ||||
\(426\) | 197.961 | − | 96.9247i | 0.464697 | − | 0.227523i | ||||
\(427\) | 285.748 | + | 393.299i | 0.669200 | + | 0.921075i | ||||
\(428\) | 246.741 | − | 759.390i | 0.576497 | − | 1.77428i | ||||
\(429\) | −661.488 | + | 93.9916i | −1.54193 | + | 0.219095i | ||||
\(430\) | 933.993 | + | 270.305i | 2.17208 | + | 0.628617i | ||||
\(431\) | −112.770 | + | 36.6413i | −0.261648 | + | 0.0850146i | −0.436904 | − | 0.899508i | \(-0.643925\pi\) |
0.175255 | + | 0.984523i | \(0.443925\pi\) | |||||||
\(432\) | 216.593 | + | 45.0070i | 0.501373 | + | 0.104183i | ||||
\(433\) | 485.578 | − | 157.774i | 1.12143 | − | 0.364374i | 0.311115 | − | 0.950372i | \(-0.399298\pi\) |
0.810312 | + | 0.585999i | \(0.199298\pi\) | |||||||
\(434\) | −772.668 | + | 1063.49i | −1.78034 | + | 2.45043i | ||||
\(435\) | −171.451 | + | 90.9558i | −0.394140 | + | 0.209094i | ||||
\(436\) | −611.315 | + | 444.146i | −1.40210 | + | 1.01868i | ||||
\(437\) | 175.559 | + | 127.551i | 0.401736 | + | 0.291879i | ||||
\(438\) | 417.522 | + | 72.9663i | 0.953247 | + | 0.166590i | ||||
\(439\) | −319.435 | + | 232.083i | −0.727643 | + | 0.528663i | −0.888817 | − | 0.458263i | \(-0.848472\pi\) |
0.161174 | + | 0.986926i | \(0.448472\pi\) | |||||||
\(440\) | 10.0643 | + | 310.061i | 0.0228735 | + | 0.704685i | ||||
\(441\) | −203.568 | + | 59.0425i | −0.461605 | + | 0.133883i | ||||
\(442\) | −265.041 | + | 86.1169i | −0.599639 | + | 0.194835i | ||||
\(443\) | −370.358 | −0.836023 | −0.418012 | − | 0.908442i | \(-0.637273\pi\) | ||||
−0.418012 | + | 0.908442i | \(0.637273\pi\) | |||||||
\(444\) | 169.457 | + | 174.945i | 0.381660 | + | 0.394020i | ||||
\(445\) | −598.428 | − | 173.190i | −1.34478 | − | 0.389191i | ||||
\(446\) | 3.45849 | + | 1.12373i | 0.00775447 | + | 0.00251958i | ||||
\(447\) | 26.5081 | + | 186.557i | 0.0593022 | + | 0.417353i | ||||
\(448\) | −494.367 | − | 680.437i | −1.10350 | − | 1.51883i | ||||
\(449\) | − | 483.851i | − | 1.07762i | −0.842428 | − | 0.538810i | \(-0.818874\pi\) | ||
0.842428 | − | 0.538810i | \(-0.181126\pi\) | |||||||
\(450\) | 424.497 | + | 545.439i | 0.943327 | + | 1.21209i | ||||
\(451\) | −146.552 | −0.324949 | ||||||||
\(452\) | 172.105 | − | 125.041i | 0.380763 | − | 0.276640i | ||||
\(453\) | 578.359 | − | 82.1797i | 1.27673 | − | 0.181412i | ||||
\(454\) | 355.631 | − | 1094.52i | 0.783328 | − | 2.41084i | ||||
\(455\) | 674.021 | − | 21.8782i | 1.48136 | − | 0.0480839i | ||||
\(456\) | 114.426 | − | 110.837i | 0.250935 | − | 0.243063i | ||||
\(457\) | 137.946i | 0.301852i | 0.988545 | + | 0.150926i | \(0.0482255\pi\) | ||||
−0.988545 | + | 0.150926i | \(0.951775\pi\) | |||||||
\(458\) | 44.1553 | + | 135.896i | 0.0964090 | + | 0.296716i | ||||
\(459\) | −104.031 | − | 114.484i | −0.226647 | − | 0.249421i | ||||
\(460\) | 405.546 | + | 274.998i | 0.881622 | + | 0.597821i | ||||
\(461\) | 17.2080 | + | 23.6848i | 0.0373276 | + | 0.0513770i | 0.827273 | − | 0.561800i | \(-0.189891\pi\) |
−0.789945 | + | 0.613177i | \(0.789891\pi\) | |||||||
\(462\) | −190.055 | + | 1087.52i | −0.411374 | + | 2.35393i | ||||
\(463\) | 417.764 | − | 575.003i | 0.902298 | − | 1.24191i | −0.0674315 | − | 0.997724i | \(-0.521480\pi\) |
0.969729 | − | 0.244182i | \(-0.0785196\pi\) | |||||||
\(464\) | −62.3126 | − | 85.7660i | −0.134294 | − | 0.184841i | ||||
\(465\) | 677.032 | + | 330.998i | 1.45598 | + | 0.711823i | ||||
\(466\) | −493.225 | − | 358.349i | −1.05842 | − | 0.768989i | ||||
\(467\) | 0.0972269 | + | 0.299233i | 0.000208195 | + | 0.000640757i | 0.951161 | − | 0.308697i | \(-0.0998928\pi\) |
−0.950952 | + | 0.309337i | \(0.899893\pi\) | |||||||
\(468\) | 611.928 | + | 475.102i | 1.30754 | + | 1.01517i | ||||
\(469\) | 147.189 | + | 453.001i | 0.313836 | + | 0.965888i | ||||
\(470\) | −558.974 | − | 379.036i | −1.18931 | − | 0.806459i | ||||
\(471\) | −11.3817 | − | 80.1013i | −0.0241649 | − | 0.170066i | ||||
\(472\) | 46.8468 | + | 15.2215i | 0.0992517 | + | 0.0322488i | ||||
\(473\) | 720.330 | − | 523.350i | 1.52290 | − | 1.10645i | ||||
\(474\) | −512.929 | − | 1047.62i | −1.08213 | − | 2.21016i | ||||
\(475\) | −300.302 | + | 19.5157i | −0.632214 | + | 0.0410856i | ||||
\(476\) | 265.281i | 0.557314i | ||||||||
\(477\) | −4.80774 | + | 150.820i | −0.0100791 | + | 0.316184i | ||||
\(478\) | −694.444 | − | 225.639i | −1.45281 | − | 0.472047i | ||||
\(479\) | 586.833 | + | 190.673i | 1.22512 | + | 0.398066i | 0.848944 | − | 0.528482i | \(-0.177239\pi\) |
0.376176 | + | 0.926548i | \(0.377239\pi\) | |||||||
\(480\) | −446.550 | + | 461.548i | −0.930313 | + | 0.961559i | ||||
\(481\) | −73.0788 | − | 224.913i | −0.151931 | − | 0.467595i | ||||
\(482\) | −511.382 | −1.06096 | ||||||||
\(483\) | 320.500 | + | 330.880i | 0.663561 | + | 0.685051i | ||||
\(484\) | 337.826 | + | 245.445i | 0.697988 | + | 0.507118i | ||||
\(485\) | −72.8440 | + | 26.3104i | −0.150194 | + | 0.0542483i | ||||
\(486\) | −175.074 | + | 725.631i | −0.360234 | + | 1.49307i | ||||
\(487\) | 270.796 | − | 372.719i | 0.556050 | − | 0.765337i | −0.434768 | − | 0.900543i | \(-0.643170\pi\) |
0.990818 | + | 0.135206i | \(0.0431696\pi\) | |||||||
\(488\) | −203.694 | − | 147.992i | −0.417405 | − | 0.303263i | ||||
\(489\) | −112.165 | + | 211.728i | −0.229377 | + | 0.432982i | ||||
\(490\) | 100.558 | − | 347.461i | 0.205221 | − | 0.709104i | ||||
\(491\) | −102.968 | + | 141.724i | −0.209712 | + | 0.288643i | −0.900896 | − | 0.434035i | \(-0.857089\pi\) |
0.691184 | + | 0.722679i | \(0.257089\pi\) | |||||||
\(492\) | 118.228 | + | 122.057i | 0.240302 | + | 0.248084i | ||||
\(493\) | 74.1305i | 0.150366i | ||||||||
\(494\) | −556.860 | + | 180.935i | −1.12725 | + | 0.366265i | ||||
\(495\) | 632.911 | − | 0.367833i | 1.27861 | − | 0.000743098i | ||||
\(496\) | −127.204 | + | 391.492i | −0.256459 | + | 0.789299i | ||||
\(497\) | −62.9547 | + | 193.755i | −0.126669 | + | 0.389848i | ||||
\(498\) | −976.233 | − | 517.170i | −1.96031 | − | 1.03849i | ||||
\(499\) | −328.105 | −0.657526 | −0.328763 | − | 0.944413i | \(-0.606632\pi\) | ||||
−0.328763 | + | 0.944413i | \(0.606632\pi\) | |||||||
\(500\) | −676.294 | + | 66.0414i | −1.35259 | + | 0.132083i | ||||
\(501\) | 136.517 | + | 278.824i | 0.272488 | + | 0.556535i | ||||
\(502\) | 682.729 | + | 939.695i | 1.36002 | + | 1.87190i | ||||
\(503\) | 140.241 | − | 431.617i | 0.278809 | − | 0.858086i | −0.709377 | − | 0.704829i | \(-0.751024\pi\) |
0.988186 | − | 0.153257i | \(-0.0489763\pi\) | |||||||
\(504\) | 279.782 | − | 189.956i | 0.555124 | − | 0.376896i | ||||
\(505\) | −337.607 | − | 434.315i | −0.668530 | − | 0.860029i | ||||
\(506\) | 740.738 | − | 240.680i | 1.46391 | − | 0.475653i | ||||
\(507\) | −107.831 | − | 220.236i | −0.212684 | − | 0.434390i | ||||
\(508\) | 385.199 | − | 125.159i | 0.758266 | − | 0.246376i | ||||
\(509\) | 577.440 | − | 794.778i | 1.13446 | − | 1.56145i | 0.355154 | − | 0.934808i | \(-0.384428\pi\) |
0.779306 | − | 0.626643i | \(-0.215572\pi\) | |||||||
\(510\) | 260.022 | − | 45.5972i | 0.509846 | − | 0.0894062i | ||||
\(511\) | −316.938 | + | 230.269i | −0.620230 | + | 0.450624i | ||||
\(512\) | −400.759 | − | 291.168i | −0.782731 | − | 0.568688i | ||||
\(513\) | −218.573 | − | 240.535i | −0.426069 | − | 0.468880i | ||||
\(514\) | −1054.66 | + | 766.259i | −2.05188 | + | 1.49078i | ||||
\(515\) | 581.650 | − | 210.085i | 1.12942 | − | 0.407932i | ||||
\(516\) | −1016.99 | − | 177.730i | −1.97092 | − | 0.344438i | ||||
\(517\) | −588.180 | + | 191.111i | −1.13768 | + | 0.369654i | ||||
\(518\) | −390.764 | −0.754371 | ||||||||
\(519\) | 449.698 | − | 435.591i | 0.866469 | − | 0.839289i | ||||
\(520\) | −328.496 | + | 118.649i | −0.631723 | + | 0.228171i | ||||
\(521\) | −371.073 | − | 120.569i | −0.712231 | − | 0.231418i | −0.0695796 | − | 0.997576i | \(-0.522166\pi\) |
−0.642652 | + | 0.766158i | \(0.722166\pi\) | |||||||
\(522\) | 295.949 | − | 200.932i | 0.566952 | − | 0.384927i | ||||
\(523\) | 308.767 | + | 424.981i | 0.590376 | + | 0.812583i | 0.994785 | − | 0.101995i | \(-0.0325226\pi\) |
−0.404409 | + | 0.914578i | \(0.632523\pi\) | |||||||
\(524\) | 33.8142i | 0.0645309i | ||||||||
\(525\) | −635.096 | − | 68.9337i | −1.20971 | − | 0.131302i | ||||
\(526\) | 577.815 | 1.09851 | ||||||||
\(527\) | 232.870 | − | 169.190i | 0.441879 | − | 0.321044i | ||||
\(528\) | 48.6338 | + | 342.272i | 0.0921095 | + | 0.648242i | ||||
\(529\) | −63.0440 | + | 194.029i | −0.119176 | + | 0.366785i | ||||
\(530\) | −213.135 | − | 144.525i | −0.402141 | − | 0.272688i | ||||
\(531\) | 34.0838 | − | 94.5376i | 0.0641879 | − | 0.178037i | ||||
\(532\) | 557.366i | 1.04768i | ||||||||
\(533\) | −50.9864 | − | 156.920i | −0.0956592 | − | 0.294409i | ||||
\(534\) | 1131.08 | + | 197.667i | 2.11812 | + | 0.370163i | ||||
\(535\) | 579.838 | − | 450.728i | 1.08381 | − | 0.842481i | ||||
\(536\) | −145.000 | − | 199.575i | −0.270522 | − | 0.372341i | ||||
\(537\) | 28.2983 | + | 4.94542i | 0.0526971 | + | 0.00920936i | ||||
\(538\) | 279.586 | − | 384.816i | 0.519676 | − | 0.715272i | ||||
\(539\) | −194.695 | − | 267.975i | −0.361215 | − | 0.497170i | ||||
\(540\) | −510.898 | − | 526.831i | −0.946107 | − | 0.975612i | ||||
\(541\) | 567.340 | + | 412.197i | 1.04869 | + | 0.761917i | 0.971963 | − | 0.235136i | \(-0.0755534\pi\) |
0.0767257 | + | 0.997052i | \(0.475553\pi\) | |||||||
\(542\) | 112.040 | + | 344.825i | 0.206717 | + | 0.636208i | ||||
\(543\) | −381.008 | − | 778.177i | −0.701672 | − | 1.43311i | ||||
\(544\) | 75.7997 | + | 233.287i | 0.139338 | + | 0.428837i | ||||
\(545\) | −694.644 | + | 22.5476i | −1.27458 | + | 0.0413717i | ||||
\(546\) | −1230.58 | + | 174.854i | −2.25380 | + | 0.320246i | ||||
\(547\) | −653.023 | − | 212.180i | −1.19383 | − | 0.387898i | −0.356340 | − | 0.934356i | \(-0.615976\pi\) |
−0.837486 | + | 0.546459i | \(0.815976\pi\) | |||||||
\(548\) | −387.503 | + | 281.537i | −0.707122 | + | 0.513755i | ||||
\(549\) | −315.016 | + | 405.739i | −0.573800 | + | 0.739051i | ||||
\(550\) | −576.866 | + | 913.156i | −1.04885 | + | 1.66028i | ||||
\(551\) | 155.751i | 0.282670i | ||||||||
\(552\) | −210.821 | − | 111.685i | −0.381923 | − | 0.202328i | ||||
\(553\) | 1025.36 | + | 333.159i | 1.85417 | + | 0.602457i | ||||
\(554\) | −52.1701 | − | 16.9511i | −0.0941698 | − | 0.0305976i | ||||
\(555\) | 38.6937 | + | 220.654i | 0.0697184 | + | 0.397575i | ||||
\(556\) | −179.139 | − | 551.334i | −0.322193 | − | 0.991608i | ||||
\(557\) | −73.5088 | −0.131973 | −0.0659863 | − | 0.997821i | \(-0.521019\pi\) | ||||
−0.0659863 | + | 0.997821i | \(0.521019\pi\) | |||||||
\(558\) | −1306.65 | − | 471.088i | −2.34167 | − | 0.844245i | ||||
\(559\) | 810.984 | + | 589.214i | 1.45078 | + | 1.05405i | ||||
\(560\) | −11.3204 | − | 348.757i | −0.0202149 | − | 0.622780i | ||||
\(561\) | 113.166 | − | 213.617i | 0.201722 | − | 0.380779i | ||||
\(562\) | 794.201 | − | 1093.12i | 1.41317 | − | 1.94506i | ||||
\(563\) | 15.8972 | + | 11.5500i | 0.0282367 | + | 0.0205151i | 0.601814 | − | 0.798636i | \(-0.294445\pi\) |
−0.573577 | + | 0.819151i | \(0.694445\pi\) | |||||||
\(564\) | 633.675 | + | 335.696i | 1.12354 | + | 0.595206i | ||||
\(565\) | 195.565 | − | 6.34787i | 0.346132 | − | 0.0112352i | ||||
\(566\) | −128.458 | + | 176.807i | −0.226957 | + | 0.312380i | ||||
\(567\) | −369.159 | − | 582.862i | −0.651074 | − | 1.02797i | ||||
\(568\) | − | 105.512i | − | 0.185760i | ||||||
\(569\) | −11.0341 | + | 3.58519i | −0.0193921 | + | 0.00630087i | −0.318697 | − | 0.947857i | \(-0.603245\pi\) |
0.299305 | + | 0.954158i | \(0.403245\pi\) | |||||||
\(570\) | 546.315 | − | 95.8014i | 0.958448 | − | 0.168073i | ||||
\(571\) | 141.362 | − | 435.067i | 0.247569 | − | 0.761938i | −0.747635 | − | 0.664110i | \(-0.768810\pi\) |
0.995203 | − | 0.0978280i | \(-0.0311895\pi\) | |||||||
\(572\) | −374.119 | + | 1151.42i | −0.654054 | + | 2.01297i | ||||
\(573\) | 497.877 | − | 939.814i | 0.868895 | − | 1.64016i | ||||
\(574\) | −272.633 | −0.474970 | ||||||||
\(575\) | 166.772 | + | 418.692i | 0.290039 | + | 0.728160i | ||||
\(576\) | 545.003 | − | 701.960i | 0.946185 | − | 1.21868i | ||||
\(577\) | −603.556 | − | 830.723i | −1.04602 | − | 1.43973i | −0.892206 | − | 0.451629i | \(-0.850843\pi\) |
−0.153818 | − | 0.988099i | \(-0.549157\pi\) | |||||||
\(578\) | −243.173 | + | 748.410i | −0.420715 | + | 1.29483i | ||||
\(579\) | −95.6033 | − | 672.831i | −0.165118 | − | 1.16206i | ||||
\(580\) | 11.4094 | + | 351.500i | 0.0196714 | + | 0.606034i | ||||
\(581\) | 971.133 | − | 315.540i | 1.67148 | − | 0.543098i | ||||
\(582\) | 128.205 | − | 62.7713i | 0.220284 | − | 0.107854i | ||||
\(583\) | −224.271 | + | 72.8700i | −0.384684 | + | 0.124991i | ||||
\(584\) | 119.259 | − | 164.145i | 0.204210 | − | 0.281071i | ||||
\(585\) | 220.588 | + | 677.560i | 0.377073 | + | 1.15822i | ||||
\(586\) | 1085.33 | − | 788.541i | 1.85211 | − | 1.34563i | ||||
\(587\) | −281.898 | − | 204.811i | −0.480234 | − | 0.348911i | 0.321182 | − | 0.947017i | \(-0.395920\pi\) |
−0.801416 | + | 0.598107i | \(0.795920\pi\) | |||||||
\(588\) | −66.1186 | + | 378.339i | −0.112447 | + | 0.643433i | ||||
\(589\) | 489.269 | − | 355.475i | 0.830677 | − | 0.603522i | ||||
\(590\) | 105.253 | + | 135.403i | 0.178395 | + | 0.229496i | ||||
\(591\) | −46.5214 | + | 266.201i | −0.0787164 | + | 0.450425i | ||||
\(592\) | −116.376 | + | 37.8129i | −0.196581 | + | 0.0638732i | ||||
\(593\) | 756.963 | 1.27650 | 0.638249 | − | 0.769830i | \(-0.279659\pi\) | ||||
0.638249 | + | 0.769830i | \(0.279659\pi\) | |||||||
\(594\) | −1159.56 | + | 127.223i | −1.95211 | + | 0.214180i | ||||
\(595\) | −136.940 | + | 201.949i | −0.230152 | + | 0.339411i | ||||
\(596\) | 324.730 | + | 105.511i | 0.544850 | + | 0.177032i | ||||
\(597\) | −583.842 | + | 82.9587i | −0.977959 | + | 0.138959i | ||||
\(598\) | 515.416 | + | 709.409i | 0.861899 | + | 1.18630i | ||||
\(599\) | 785.648i | 1.31160i | 0.754935 | + | 0.655800i | \(0.227668\pi\) | ||||
−0.754935 | + | 0.655800i | \(0.772332\pi\) | |||||||
\(600\) | 323.857 | − | 67.6886i | 0.539761 | − | 0.112814i | ||||
\(601\) | 311.329 | 0.518018 | 0.259009 | − | 0.965875i | \(-0.416604\pi\) | ||||
0.259009 | + | 0.965875i | \(0.416604\pi\) | |||||||
\(602\) | 1340.04 | − | 973.597i | 2.22598 | − | 1.61727i | ||||
\(603\) | −416.385 | + | 282.701i | −0.690523 | + | 0.468824i | ||||
\(604\) | 327.103 | − | 1006.72i | 0.541562 | − | 1.66676i | ||||
\(605\) | 130.475 | + | 361.237i | 0.215661 | + | 0.597087i | ||||
\(606\) | 705.410 | + | 728.254i | 1.16404 | + | 1.20174i | ||||
\(607\) | 105.263i | 0.173414i | 0.996234 | + | 0.0867072i | \(0.0276345\pi\) | ||||
−0.996234 | + | 0.0867072i | \(0.972366\pi\) | |||||||
\(608\) | 159.258 | + | 490.146i | 0.261937 | + | 0.806161i | ||||
\(609\) | −56.9180 | + | 325.692i | −0.0934614 | + | 0.534798i | ||||
\(610\) | −297.794 | − | 824.485i | −0.488187 | − | 1.35161i | ||||
\(611\) | −409.264 | − | 563.303i | −0.669826 | − | 0.921937i | ||||
\(612\) | −269.209 | + | 78.0808i | −0.439883 | + | 0.127583i | ||||
\(613\) | −576.341 | + | 793.265i | −0.940197 | + | 1.29407i | 0.0155493 | + | 0.999879i | \(0.495050\pi\) |
−0.955747 | + | 0.294191i | \(0.904950\pi\) | |||||||
\(614\) | 655.636 | + | 902.406i | 1.06781 | + | 1.46972i | ||||
\(615\) | 26.9963 | + | 153.948i | 0.0438964 | + | 0.250323i | ||||
\(616\) | 427.548 | + | 310.632i | 0.694072 | + | 0.504273i | ||||
\(617\) | 344.207 | + | 1059.36i | 0.557872 | + | 1.71695i | 0.688236 | + | 0.725487i | \(0.258385\pi\) |
−0.130364 | + | 0.991466i | \(0.541615\pi\) | |||||||
\(618\) | −1023.70 | + | 501.220i | −1.65647 | + | 0.811036i | ||||
\(619\) | −53.0104 | − | 163.149i | −0.0856388 | − | 0.263569i | 0.899062 | − | 0.437820i | \(-0.144249\pi\) |
−0.984701 | + | 0.174251i | \(0.944249\pi\) | |||||||
\(620\) | 1078.15 | − | 838.079i | 1.73894 | − | 1.35174i | ||||
\(621\) | −241.445 | + | 422.633i | −0.388800 | + | 0.680569i | ||||
\(622\) | 958.723 | + | 311.508i | 1.54136 | + | 0.500817i | ||||
\(623\) | −858.591 | + | 623.803i | −1.37816 | + | 1.00129i | ||||
\(624\) | −349.566 | + | 171.153i | −0.560203 | + | 0.274284i | ||||
\(625\) | −548.930 | − | 298.833i | −0.878288 | − | 0.478133i | ||||
\(626\) | − | 132.646i | − | 0.211895i | ||||||
\(627\) | 237.766 | − | 448.818i | 0.379212 | − | 0.715818i | ||||
\(628\) | −139.428 | − | 45.3030i | −0.222020 | − | 0.0721386i | ||||
\(629\) | 81.3773 | + | 26.4411i | 0.129376 | + | 0.0420367i | ||||
\(630\) | 1177.41 | − | 0.684286i | 1.86891 | − | 0.00108617i | ||||
\(631\) | −138.790 | − | 427.153i | −0.219953 | − | 0.676946i | −0.998765 | − | 0.0496883i | \(-0.984177\pi\) |
0.778812 | − | 0.627258i | \(-0.215823\pi\) | |||||||
\(632\) | −558.372 | −0.883500 | ||||||||
\(633\) | 123.974 | − | 120.085i | 0.195851 | − | 0.189707i | ||||
\(634\) | 356.146 | + | 258.755i | 0.561744 | + | 0.408131i | ||||
\(635\) | 357.846 | + | 103.564i | 0.563538 | + | 0.163092i | ||||
\(636\) | 241.618 | + | 128.000i | 0.379902 | + | 0.201257i | ||||
\(637\) | 219.198 | − | 301.700i | 0.344109 | − | 0.473626i | ||||
\(638\) | 452.253 | + | 328.581i | 0.708860 | + | 0.515017i | ||||
\(639\) | −215.153 | − | 6.85850i | −0.336702 | − | 0.0107332i | ||||
\(640\) | 224.321 | + | 621.065i | 0.350502 | + | 0.970414i | ||||
\(641\) | −332.958 | + | 458.277i | −0.519435 | + | 0.714940i | −0.985475 | − | 0.169823i | \(-0.945680\pi\) |
0.466040 | + | 0.884764i | \(0.345680\pi\) | |||||||
\(642\) | −972.266 | + | 941.767i | −1.51443 | + | 1.46693i | ||||
\(643\) | 970.059i | 1.50864i | 0.656504 | + | 0.754322i | \(0.272034\pi\) | ||||
−0.656504 | + | 0.754322i | \(0.727966\pi\) | |||||||
\(644\) | 793.863 | − | 257.942i | 1.23271 | − | 0.400531i | ||||
\(645\) | −682.456 | − | 660.279i | −1.05807 | − | 1.02369i | ||||
\(646\) | 65.4652 | − | 201.481i | 0.101339 | − | 0.311890i | ||||
\(647\) | 297.997 | − | 917.140i | 0.460583 | − | 1.41753i | −0.403871 | − | 0.914816i | \(-0.632336\pi\) |
0.864454 | − | 0.502712i | \(-0.167664\pi\) | |||||||
\(648\) | 275.117 | + | 228.014i | 0.424563 | + | 0.351874i | ||||
\(649\) | 157.046 | 0.241982 | ||||||||
\(650\) | −1178.45 | − | 299.985i | −1.81301 | − | 0.461515i | ||||
\(651\) | 1153.02 | − | 564.537i | 1.77115 | − | 0.867184i | ||||
\(652\) | 255.198 | + | 351.249i | 0.391407 | + | 0.538726i | ||||
\(653\) | −269.097 | + | 828.194i | −0.412093 | + | 1.26829i | 0.502733 | + | 0.864442i | \(0.332328\pi\) |
−0.914826 | + | 0.403849i | \(0.867672\pi\) | |||||||
\(654\) | 1268.23 | − | 180.204i | 1.93919 | − | 0.275542i | ||||
\(655\) | −17.4552 | + | 25.7416i | −0.0266491 | + | 0.0393001i | ||||
\(656\) | −81.1946 | + | 26.3817i | −0.123772 | + | 0.0402160i | ||||
\(657\) | −326.963 | − | 253.854i | −0.497660 | − | 0.386384i | ||||
\(658\) | −1094.20 | + | 355.527i | −1.66292 | + | 0.540315i | ||||
\(659\) | −343.930 | + | 473.379i | −0.521896 | + | 0.718329i | −0.985868 | − | 0.167521i | \(-0.946424\pi\) |
0.463972 | + | 0.885850i | \(0.346424\pi\) | |||||||
\(660\) | 503.715 | − | 1030.31i | 0.763204 | − | 1.56108i | ||||
\(661\) | −876.264 | + | 636.643i | −1.32566 | + | 0.963152i | −0.325821 | + | 0.945431i | \(0.605641\pi\) |
−0.999843 | + | 0.0177203i | \(0.994359\pi\) | |||||||
\(662\) | −982.664 | − | 713.947i | −1.48439 | − | 1.07847i | ||||
\(663\) | 268.101 | + | 46.8534i | 0.404376 | + | 0.0706688i | ||||
\(664\) | −427.843 | + | 310.846i | −0.644342 | + | 0.468142i | ||||
\(665\) | −287.717 | + | 424.303i | −0.432656 | + | 0.638050i | ||||
\(666\) | −115.014 | − | 396.549i | −0.172694 | − | 0.595419i | ||||
\(667\) | 221.838 | − | 72.0795i | 0.332591 | − | 0.108065i | ||||
\(668\) | 562.546 | 0.842134 | ||||||||
\(669\) | −2.47092 | − | 2.55095i | −0.00369346 | − | 0.00381307i | ||||
\(670\) | −27.8642 | − | 858.439i | −0.0415884 | − | 1.28125i | ||||
\(671\) | −763.450 | − | 248.060i | −1.13778 | − | 0.369687i | ||||
\(672\) | 153.906 | + | 1083.15i | 0.229026 | + | 1.61183i | ||||
\(673\) | −48.0537 | − | 66.1403i | −0.0714023 | − | 0.0982768i | 0.771822 | − | 0.635838i | \(-0.219346\pi\) |
−0.843224 | + | 0.537562i | \(0.819346\pi\) | |||||||
\(674\) | − | 1088.02i | − | 1.61427i | ||||||
\(675\) | −116.975 | − | 664.787i | −0.173296 | − | 0.984870i | ||||
\(676\) | −444.340 | −0.657308 | ||||||||
\(677\) | 277.245 | − | 201.430i | 0.409520 | − | 0.297534i | −0.363887 | − | 0.931443i | \(-0.618551\pi\) |
0.773407 | + | 0.633909i | \(0.218551\pi\) | |||||||
\(678\) | −357.047 | + | 50.7333i | −0.526619 | + | 0.0748278i | ||||
\(679\) | −40.7713 | + | 125.481i | −0.0600461 | + | 0.184803i | ||||
\(680\) | 35.1310 | − | 121.389i | 0.0516632 | − | 0.178513i | ||||
\(681\) | −807.306 | + | 781.981i | −1.18547 | + | 1.14828i | ||||
\(682\) | − | 2170.62i | − | 3.18272i | ||||||
\(683\) | 58.7186 | + | 180.717i | 0.0859717 | + | 0.264594i | 0.984796 | − | 0.173716i | \(-0.0555774\pi\) |
−0.898824 | + | 0.438309i | \(0.855577\pi\) | |||||||
\(684\) | −565.617 | + | 164.051i | −0.826926 | + | 0.239840i | ||||
\(685\) | −440.324 | + | 14.2926i | −0.642809 | + | 0.0208651i | ||||
\(686\) | 391.390 | + | 538.702i | 0.570539 | + | 0.785280i | ||||
\(687\) | 24.0235 | − | 137.465i | 0.0349687 | − | 0.200095i | ||||
\(688\) | 304.875 | − | 419.625i | 0.443133 | − | 0.609920i | ||||
\(689\) | −156.051 | − | 214.785i | −0.226489 | − | 0.311735i | ||||
\(690\) | −389.279 | − | 733.788i | −0.564172 | − | 1.06346i | ||||
\(691\) | −39.0513 | − | 28.3724i | −0.0565142 | − | 0.0410600i | 0.559170 | − | 0.829053i | \(-0.311120\pi\) |
−0.615684 | + | 0.787993i | \(0.711120\pi\) | |||||||
\(692\) | −350.568 | − | 1078.94i | −0.506601 | − | 1.55916i | ||||
\(693\) | 661.212 | − | 851.637i | 0.954130 | − | 1.22891i | ||||
\(694\) | 284.513 | + | 875.642i | 0.409962 | + | 1.26173i | ||||
\(695\) | 148.230 | − | 512.185i | 0.213281 | − | 0.736956i | ||||
\(696\) | −24.0891 | − | 169.533i | −0.0346108 | − | 0.243582i | ||||
\(697\) | 56.7762 | + | 18.4477i | 0.0814580 | + | 0.0264673i | ||||
\(698\) | −158.985 | + | 115.510i | −0.227773 | + | 0.165487i | ||||
\(699\) | 261.822 | + | 534.749i | 0.374566 | + | 0.765020i | ||||
\(700\) | −618.239 | + | 978.647i | −0.883198 | + | 1.39807i | ||||
\(701\) | − | 320.457i | − | 0.457142i | −0.973527 | − | 0.228571i | \(-0.926595\pi\) | ||
0.973527 | − | 0.228571i | \(-0.0734054\pi\) | |||||||
\(702\) | −539.641 | − | 1197.33i | −0.768719 | − | 1.70560i | ||||
\(703\) | 170.977 | + | 55.5537i | 0.243210 | + | 0.0790238i | ||||
\(704\) | 1320.83 | + | 429.163i | 1.87617 | + | 0.609606i | ||||
\(705\) | 309.105 | + | 582.662i | 0.438447 | + | 0.826470i | ||||
\(706\) | 143.652 | + | 442.116i | 0.203473 | + | 0.626226i | ||||
\(707\) | −937.112 | −1.32548 | ||||||||
\(708\) | −126.695 | − | 130.798i | −0.178948 | − | 0.184743i | ||||
\(709\) | −625.969 | − | 454.793i | −0.882890 | − | 0.641457i | 0.0511242 | − | 0.998692i | \(-0.483720\pi\) |
−0.934015 | + | 0.357235i | \(0.883720\pi\) | |||||||
\(710\) | 206.173 | − | 304.048i | 0.290384 | − | 0.428237i | ||||
\(711\) | −36.2955 | + | 1138.60i | −0.0510485 | + | 1.60140i | ||||
\(712\) | 323.074 | − | 444.674i | 0.453756 | − | 0.624542i | ||||
\(713\) | −732.734 | − | 532.363i | −1.02768 | − | 0.746652i | ||||
\(714\) | 210.525 | − | 397.395i | 0.294853 | − | 0.556576i | ||||
\(715\) | −879.176 | + | 683.413i | −1.22962 | + | 0.955822i | ||||
\(716\) | 30.5969 | − | 42.1130i | 0.0427331 | − | 0.0588171i | ||||
\(717\) | 496.147 | + | 512.215i | 0.691976 | + | 0.714386i | ||||
\(718\) | − | 398.078i | − | 0.554426i | ||||||
\(719\) | 130.154 | − | 42.2896i | 0.181021 | − | 0.0588172i | −0.217104 | − | 0.976148i | \(-0.569661\pi\) |
0.398125 | + | 0.917331i | \(0.369661\pi\) | |||||||
\(720\) | 350.588 | − | 114.138i | 0.486927 | − | 0.158525i | ||||
\(721\) | 325.553 | − | 1001.95i | 0.451530 | − | 1.38967i | ||||
\(722\) | −205.133 | + | 631.333i | −0.284117 | + | 0.874422i | ||||
\(723\) | 441.323 | + | 233.796i | 0.610405 | + | 0.323369i | ||||
\(724\) | −1570.02 | −2.16854 | ||||||||
\(725\) | −172.761 | + | 273.474i | −0.238291 | + | 0.377206i | ||||
\(726\) | −311.286 | − | 635.776i | −0.428769 | − | 0.875725i | ||||
\(727\) | 336.546 | + | 463.216i | 0.462925 | + | 0.637161i | 0.975112 | − | 0.221712i | \(-0.0711646\pi\) |
−0.512187 | + | 0.858874i | \(0.671165\pi\) | |||||||
\(728\) | −183.861 | + | 565.867i | −0.252557 | + | 0.777290i | ||||
\(729\) | 482.835 | − | 546.179i | 0.662325 | − | 0.749216i | ||||
\(730\) | 664.407 | − | 239.976i | 0.910146 | − | 0.328734i | ||||
\(731\) | −344.944 | + | 112.079i | −0.471880 | + | 0.153323i | ||||
\(732\) | 409.302 | + | 835.967i | 0.559156 | + | 1.14203i | ||||
\(733\) | 452.361 | − | 146.981i | 0.617136 | − | 0.200520i | 0.0162677 | − | 0.999868i | \(-0.494822\pi\) |
0.600868 | + | 0.799348i | \(0.294822\pi\) | |||||||
\(734\) | 262.186 | − | 360.868i | 0.357201 | − | 0.491645i | ||||
\(735\) | −245.635 | + | 253.885i | −0.334197 | + | 0.345422i | ||||
\(736\) | 624.418 | − | 453.666i | 0.848394 | − | 0.616394i | ||||
\(737\) | −636.297 | − | 462.297i | −0.863361 | − | 0.627269i | ||||
\(738\) | −80.2445 | − | 276.669i | −0.108732 | − | 0.374890i | ||||
\(739\) | −455.862 | + | 331.203i | −0.616863 | + | 0.448177i | −0.851824 | − | 0.523828i | \(-0.824504\pi\) |
0.234961 | + | 0.972005i | \(0.424504\pi\) | |||||||
\(740\) | 389.931 | + | 112.849i | 0.526934 | + | 0.152499i | ||||
\(741\) | 563.291 | + | 98.4408i | 0.760176 | + | 0.132849i | ||||
\(742\) | −417.214 | + | 135.561i | −0.562284 | + | 0.182697i | ||||
\(743\) | 512.186 | 0.689349 | 0.344674 | − | 0.938722i | \(-0.387989\pi\) | ||||
0.344674 | + | 0.938722i | \(0.387989\pi\) | |||||||
\(744\) | −477.584 | + | 462.603i | −0.641914 | + | 0.621778i | ||||
\(745\) | 192.740 | + | 247.950i | 0.258712 | + | 0.332819i | ||||
\(746\) | −1130.66 | − | 367.374i | −1.51563 | − | 0.492458i | ||||
\(747\) | 606.047 | + | 892.636i | 0.811308 | + | 1.19496i | ||||
\(748\) | −257.475 | − | 354.383i | −0.344217 | − | 0.473775i | ||||
\(749\) | − | 1251.10i | − | 1.67037i | ||||||
\(750\) | 1065.51 | + | 437.769i | 1.42068 | + | 0.583692i | ||||
\(751\) | −1170.06 | −1.55800 | −0.779001 | − | 0.627023i | \(-0.784273\pi\) | ||||
−0.779001 | + | 0.627023i | \(0.784273\pi\) | |||||||
\(752\) | −291.468 | + | 211.764i | −0.387591 | + | 0.281601i | ||||
\(753\) | −159.581 | − | 1123.09i | −0.211927 | − | 1.49149i | ||||
\(754\) | −194.485 | + | 598.564i | −0.257938 | + | 0.793852i | ||||
\(755\) | 768.689 | − | 597.528i | 1.01813 | − | 0.791428i | ||||
\(756\) | −1242.72 | + | 136.347i | −1.64381 | + | 0.180353i | ||||
\(757\) | 1216.88i | 1.60750i | 0.594967 | + | 0.803750i | \(0.297165\pi\) | ||||
−0.594967 | + | 0.803750i | \(0.702835\pi\) | |||||||
\(758\) | −92.9778 | − | 286.156i | −0.122662 | − | 0.377515i | ||||
\(759\) | −749.292 | − | 130.946i | −0.987209 | − | 0.172525i | ||||
\(760\) | 73.8115 | − | 255.043i | 0.0971204 | − | 0.335583i | ||||
\(761\) | 317.477 | + | 436.969i | 0.417184 | + | 0.574204i | 0.964952 | − | 0.262426i | \(-0.0845226\pi\) |
−0.547769 | + | 0.836630i | \(0.684523\pi\) | |||||||
\(762\) | −676.359 | − | 118.201i | −0.887610 | − | 0.155119i | ||||
\(763\) | −695.922 | + | 957.855i | −0.912087 | + | 1.25538i | ||||
\(764\) | −1132.77 | − | 1559.12i | −1.48268 | − | 2.04073i | ||||
\(765\) | −245.245 | − | 79.5274i | −0.320582 | − | 0.103957i | ||||
\(766\) | −468.440 | − | 340.342i | −0.611541 | − | 0.444310i | ||||
\(767\) | 54.6375 | + | 168.157i | 0.0712354 | + | 0.219240i | ||||
\(768\) | −14.1302 | − | 28.8599i | −0.0183987 | − | 0.0375779i | ||||
\(769\) | 279.380 | + | 859.843i | 0.363303 | + | 1.11813i | 0.951037 | + | 0.309078i | \(0.100020\pi\) |
−0.587734 | + | 0.809054i | \(0.699980\pi\) | |||||||
\(770\) | 625.063 | + | 1730.57i | 0.811770 | + | 2.24750i | ||||
\(771\) | 1260.50 | − | 179.105i | 1.63488 | − | 0.232303i | ||||
\(772\) | −1171.16 | − | 380.534i | −1.51705 | − | 0.492920i | ||||
\(773\) | −1158.49 | + | 841.694i | −1.49870 | + | 1.08887i | −0.527799 | + | 0.849369i | \(0.676982\pi\) |
−0.970897 | + | 0.239497i | \(0.923018\pi\) | |||||||
\(774\) | 1382.43 | + | 1073.32i | 1.78608 | + | 1.38672i | ||||
\(775\) | 1253.38 | − | 81.4530i | 1.61726 | − | 0.105101i | ||||
\(776\) | − | 68.3324i | − | 0.0880573i | ||||||
\(777\) | 337.229 | + | 178.651i | 0.434015 | + | 0.229924i | ||||
\(778\) | 777.946 | + | 252.770i | 0.999930 | + | 0.324897i | ||||
\(779\) | 119.289 | + | 38.7593i | 0.153131 | + | 0.0497552i | ||||
\(780\) | 1278.45 | + | 180.899i | 1.63904 | + | 0.231921i | ||||
\(781\) | −103.953 | − | 319.935i | −0.133102 | − | 0.409647i | ||||
\(782\) | −317.269 | −0.405714 | ||||||||
\(783\) | −347.267 | + | 38.1010i | −0.443508 | + | 0.0486603i | ||||
\(784\) | −156.107 | − | 113.419i | −0.199117 | − | 0.144667i | ||||
\(785\) | −82.7562 | − | 106.462i | −0.105422 | − | 0.135620i | ||||
\(786\) | 26.8346 | − | 50.6542i | 0.0341408 | − | 0.0644456i | ||||
\(787\) | 358.956 | − | 494.061i | 0.456107 | − | 0.627777i | −0.517589 | − | 0.855629i | \(-0.673170\pi\) |
0.973696 | + | 0.227852i | \(0.0731704\pi\) | |||||||
\(788\) | 396.155 | + | 287.824i | 0.502735 | + | 0.365259i | ||||
\(789\) | −498.654 | − | 264.168i | −0.632008 | − | 0.334813i | ||||
\(790\) | −1609.04 | − | 1091.07i | −2.03675 | − | 1.38111i | ||||
\(791\) | 195.925 | − | 269.667i | 0.247692 | − | 0.340919i | ||||
\(792\) | −189.390 | + | 525.307i | −0.239128 | + | 0.663266i | ||||
\(793\) | − | 903.764i | − | 1.13968i | ||||||
\(794\) | 481.625 | − | 156.489i | 0.606580 | − | 0.197090i | ||||
\(795\) | 117.861 | + | 222.167i | 0.148252 | + | 0.279455i | ||||
\(796\) | −330.204 | + | 1016.26i | −0.414830 | + | 1.27671i | ||||
\(797\) | 178.492 | − | 549.343i | 0.223955 | − | 0.689264i | −0.774441 | − | 0.632647i | \(-0.781969\pi\) |
0.998396 | − | 0.0566172i | \(-0.0180314\pi\) | |||||||
\(798\) | 442.320 | − | 834.943i | 0.554286 | − | 1.04629i | ||||
\(799\) | 251.926 | 0.315302 | ||||||||
\(800\) | −264.045 | + | 1037.27i | −0.330056 | + | 1.29659i | ||||
\(801\) | −885.749 | − | 687.697i | −1.10580 | − | 0.858548i | ||||
\(802\) | −194.255 | − | 267.369i | −0.242213 | − | 0.333378i | ||||
\(803\) | 199.898 | − | 615.222i | 0.248939 | − | 0.766154i | ||||
\(804\) | 128.294 | + | 902.899i | 0.159570 | + | 1.12301i | ||||
\(805\) | 737.492 | + | 213.436i | 0.916139 | + | 0.265138i | ||||
\(806\) | 2324.18 | − | 755.173i | 2.88360 | − | 0.936939i | ||||
\(807\) | −417.214 | + | 204.274i | −0.516994 | + | 0.253128i | ||||
\(808\) | 461.586 | − | 149.978i | 0.571270 | − | 0.185617i | ||||
\(809\) | 85.3363 | − | 117.455i | 0.105484 | − | 0.145186i | −0.753012 | − | 0.658007i | \(-0.771400\pi\) |
0.858495 | + | 0.512821i | \(0.171400\pi\) | |||||||
\(810\) | 347.245 | + | 1194.64i | 0.428698 | + | 1.47487i | ||||
\(811\) | 147.238 | − | 106.974i | 0.181551 | − | 0.131904i | −0.493298 | − | 0.869860i | \(-0.664209\pi\) |
0.674849 | + | 0.737956i | \(0.264209\pi\) | |||||||
\(812\) | 484.688 | + | 352.147i | 0.596907 | + | 0.433678i | ||||
\(813\) | 60.9575 | − | 348.807i | 0.0749785 | − | 0.429037i | ||||
\(814\) | 522.013 | − | 379.265i | 0.641294 | − | 0.465928i | ||||
\(815\) | 12.9554 | + | 399.129i | 0.0158962 | + | 0.489729i | ||||
\(816\) | 24.2432 | − | 138.723i | 0.0297098 | − | 0.170003i | ||||
\(817\) | −724.741 | + | 235.483i | −0.887076 | + | 0.288228i | ||||
\(818\) | 716.994 | 0.876521 | ||||||||
\(819\) | 1141.93 | + | 411.701i | 1.39430 | + | 0.502687i | ||||
\(820\) | 272.051 | + | 78.7339i | 0.331770 | + | 0.0960170i | ||||
\(821\) | 1144.28 | + | 371.798i | 1.39376 | + | 0.452860i | 0.907168 | − | 0.420769i | \(-0.138240\pi\) |
0.486593 | + | 0.873629i | \(0.338240\pi\) | |||||||
\(822\) | 803.911 | − | 114.229i | 0.977994 | − | 0.138964i | ||||
\(823\) | −433.155 | − | 596.187i | −0.526312 | − | 0.724407i | 0.460251 | − | 0.887789i | \(-0.347760\pi\) |
−0.986563 | + | 0.163382i | \(0.947760\pi\) | |||||||
\(824\) | 545.625i | 0.662166i | ||||||||
\(825\) | 915.315 | − | 524.319i | 1.10947 | − | 0.635538i | ||||
\(826\) | 292.156 | 0.353700 | ||||||||
\(827\) | −896.246 | + | 651.161i | −1.08373 | + | 0.787377i | −0.978330 | − | 0.207053i | \(-0.933613\pi\) |
−0.105401 | + | 0.994430i | \(0.533613\pi\) | |||||||
\(828\) | 495.420 | + | 729.695i | 0.598333 | + | 0.881274i | ||||
\(829\) | 25.5063 | − | 78.5003i | 0.0307675 | − | 0.0946928i | −0.934493 | − | 0.355980i | \(-0.884147\pi\) |
0.965261 | + | 0.261287i | \(0.0841470\pi\) | |||||||
\(830\) | −1840.30 | + | 59.7346i | −2.21723 | + | 0.0719694i | ||||
\(831\) | 37.2730 | + | 38.4801i | 0.0448532 | + | 0.0463058i | ||||
\(832\) | 1563.58i | 1.87930i | ||||||||
\(833\) | 41.6954 | + | 128.325i | 0.0500544 | + | 0.154052i | ||||
\(834\) | −169.180 | + | 968.070i | −0.202854 | + | 1.16076i | ||||
\(835\) | 428.246 | + | 290.390i | 0.512870 | + | 0.347773i | ||||
\(836\) | −540.964 | − | 744.573i | −0.647086 | − | 0.890638i | ||||
\(837\) | 912.265 | + | 1003.93i | 1.08992 | + | 1.19944i | ||||
\(838\) | 329.387 | − | 453.362i | 0.393063 | − | 0.541005i | ||||
\(839\) | 626.367 | + | 862.121i | 0.746564 | + | 1.02756i | 0.998214 | + | 0.0597392i | \(0.0190269\pi\) |
−0.251650 | + | 0.967818i | \(0.580973\pi\) | |||||||
\(840\) | 247.551 | − | 506.348i | 0.294704 | − | 0.602796i | ||||
\(841\) | −544.941 | − | 395.923i | −0.647968 | − | 0.470777i | ||||
\(842\) | −18.0016 | − | 55.4033i | −0.0213796 | − | 0.0657996i | ||||
\(843\) | −1185.15 | + | 580.270i | −1.40588 | + | 0.688339i | ||||
\(844\) | −96.6454 | − | 297.444i | −0.114509 | − | 0.352422i | ||||
\(845\) | −338.261 | − | 229.372i | −0.400308 | − | 0.271446i | ||||
\(846\) | −682.849 | − | 1005.76i | −0.807150 | − | 1.18884i | ||||
\(847\) | 622.268 | + | 202.187i | 0.734672 | + | 0.238710i | ||||
\(848\) | −111.136 | + | 80.7448i | −0.131056 | + | 0.0952179i | ||||
\(849\) | 191.692 | − | 93.8556i | 0.225786 | − | 0.110548i | ||||
\(850\) | 338.433 | − | 281.154i | 0.398156 | − | 0.330770i | ||||
\(851\) | − | 269.234i | − | 0.316374i | ||||||
\(852\) | −182.599 | + | 344.681i | −0.214318 | + | 0.404555i | ||||
\(853\) | −451.569 | − | 146.724i | −0.529390 | − | 0.172009i | 0.0321128 | − | 0.999484i | \(-0.489776\pi\) |
−0.561502 | + | 0.827475i | \(0.689776\pi\) | |||||||
\(854\) | −1420.26 | − | 461.470i | −1.66307 | − | 0.540363i | ||||
\(855\) | −515.269 | − | 167.090i | −0.602654 | − | 0.195427i | ||||
\(856\) | 200.231 | + | 616.247i | 0.233914 | + | 0.719915i | ||||
\(857\) | 1380.85 | 1.61126 | 0.805629 | − | 0.592421i | \(-0.201828\pi\) | ||||
0.805629 | + | 0.592421i | \(0.201828\pi\) | |||||||
\(858\) | 1474.19 | − | 1427.95i | 1.71817 | − | 1.66427i | ||||
\(859\) | 474.586 | + | 344.807i | 0.552487 | + | 0.401405i | 0.828702 | − | 0.559691i | \(-0.189080\pi\) |
−0.276215 | + | 0.961096i | \(0.589080\pi\) | |||||||
\(860\) | −1618.35 | + | 584.529i | −1.88180 | + | 0.679685i | ||||
\(861\) | 235.282 | + | 124.643i | 0.273266 | + | 0.144766i | ||||
\(862\) | 214.093 | − | 294.674i | 0.248368 | − | 0.341850i | ||||
\(863\) | 495.354 | + | 359.895i | 0.573990 | + | 0.417028i | 0.836553 | − | 0.547887i | \(-0.184568\pi\) |
−0.262562 | + | 0.964915i | \(0.584568\pi\) | |||||||
\(864\) | −1053.88 | + | 474.989i | −1.21977 | + | 0.549756i | ||||
\(865\) | 290.081 | − | 1002.32i | 0.335353 | − | 1.15875i | ||||
\(866\) | −921.864 | + | 1268.84i | −1.06451 | + | 1.46517i | ||||
\(867\) | 552.020 | − | 534.703i | 0.636701 | − | 0.616728i | ||||
\(868\) | − | 2326.29i | − | 2.68006i | ||||||
\(869\) | −1693.11 | + | 550.124i | −1.94834 | + | 0.633054i | ||||
\(870\) | 261.855 | − | 535.606i | 0.300983 | − | 0.615640i | ||||
\(871\) | 273.631 | − | 842.150i | 0.314157 | − | 0.966877i | ||||
\(872\) | 189.487 | − | 583.181i | 0.217302 | − | 0.668785i | ||||
\(873\) | −139.339 | − | 4.44177i | −0.159609 | − | 0.00508794i | ||||
\(874\) | −666.593 | −0.762693 | ||||||||
\(875\) | −975.829 | + | 425.870i | −1.11523 | + | 0.486709i | ||||
\(876\) | −673.659 | + | 329.834i | −0.769017 | + | 0.376523i | ||||
\(877\) | 601.401 | + | 827.758i | 0.685748 | + | 0.943851i | 0.999985 | − | 0.00549326i | \(-0.00174857\pi\) |
−0.314237 | + | 0.949345i | \(0.601749\pi\) | |||||||
\(878\) | 374.803 | − | 1153.53i | 0.426883 | − | 1.31381i | ||||
\(879\) | −1297.15 | + | 184.314i | −1.47571 | + | 0.209686i | ||||
\(880\) | 353.616 | + | 454.909i | 0.401836 | + | 0.516942i | ||||
\(881\) | 326.001 | − | 105.924i | 0.370035 | − | 0.120232i | −0.118095 | − | 0.993002i | \(-0.537679\pi\) |
0.488131 | + | 0.872770i | \(0.337679\pi\) | |||||||
\(882\) | 399.293 | − | 514.286i | 0.452713 | − | 0.583091i | ||||
\(883\) | 586.209 | − | 190.471i | 0.663884 | − | 0.215709i | 0.0423578 | − | 0.999103i | \(-0.486513\pi\) |
0.621526 | + | 0.783394i | \(0.286513\pi\) | |||||||
\(884\) | 289.878 | − | 398.983i | 0.327916 | − | 0.451338i | ||||
\(885\) | −28.9295 | − | 164.973i | −0.0326887 | − | 0.186410i | ||||
\(886\) | 920.398 | − | 668.708i | 1.03882 | − | 0.754750i | ||||
\(887\) | 312.136 | + | 226.780i | 0.351901 | + | 0.255671i | 0.749666 | − | 0.661816i | \(-0.230214\pi\) |
−0.397765 | + | 0.917487i | \(0.630214\pi\) | |||||||
\(888\) | −194.698 | − | 34.0255i | −0.219255 | − | 0.0383170i | ||||
\(889\) | 513.419 | − | 373.020i | 0.577524 | − | 0.419595i | ||||
\(890\) | 1799.89 | − | 650.100i | 2.02235 | − | 0.730449i | ||||
\(891\) | 1058.86 | + | 420.337i | 1.18840 | + | 0.471759i | ||||
\(892\) | −6.12036 | + | 1.98863i | −0.00686139 | + | 0.00222940i | ||||
\(893\) | 529.306 | 0.592728 | ||||||||
\(894\) | −402.718 | − | 415.760i | −0.450468 | − | 0.465056i | ||||
\(895\) | 45.0314 | − | 16.2648i | 0.0503144 | − | 0.0181730i | ||||
\(896\) | 1069.85 | + | 347.614i | 1.19402 | + | 0.387962i | ||||
\(897\) | −120.473 | − | 847.859i | −0.134307 | − | 0.945216i | ||||
\(898\) | 873.628 | + | 1202.45i | 0.972859 | + | 1.33903i | ||||
\(899\) | − | 650.062i | − | 0.723094i | ||||||
\(900\) | −1175.10 | − | 339.344i | −1.30567 | − | 0.377049i | ||||
\(901\) | 96.0583 | 0.106613 | ||||||||
\(902\) | 364.204 | − | 264.610i | 0.403774 | − | 0.293359i | ||||
\(903\) | −1601.57 | + | 227.569i | −1.77361 | + | 0.252014i | ||||
\(904\) | −53.3467 | + | 164.184i | −0.0590118 | + | 0.181620i | ||||
\(905\) | −1195.20 | − | 810.458i | −1.32067 | − | 0.895533i | ||||
\(906\) | −1288.93 | + | 1248.50i | −1.42266 | + | 1.37803i | ||||
\(907\) | 868.329i | 0.957364i | 0.877988 | + | 0.478682i | \(0.158885\pi\) | ||||
−0.877988 | + | 0.478682i | \(0.841115\pi\) | |||||||
\(908\) | 629.346 | + | 1936.93i | 0.693113 | + | 2.13318i | ||||
\(909\) | −275.822 | − | 950.985i | −0.303435 | − | 1.04619i | ||||
\(910\) | −1635.54 | + | 1271.36i | −1.79730 | + | 1.39710i | ||||
\(911\) | −595.140 | − | 819.140i | −0.653282 | − | 0.899166i | 0.345954 | − | 0.938252i | \(-0.387555\pi\) |
−0.999236 | + | 0.0390856i | \(0.987555\pi\) | |||||||
\(912\) | 50.9359 | − | 291.462i | 0.0558508 | − | 0.319585i | ||||
\(913\) | −991.060 | + | 1364.08i | −1.08550 | + | 1.49406i | ||||
\(914\) | −249.072 | − | 342.818i | −0.272507 | − | 0.375074i | ||||
\(915\) | −119.945 | + | 847.677i | −0.131087 | + | 0.926423i | ||||
\(916\) | −204.573 | − | 148.631i | −0.223333 | − | 0.162261i | ||||
\(917\) | 16.3726 | + | 50.3896i | 0.0178545 | + | 0.0549505i | ||||
\(918\) | 465.243 | + | 96.6752i | 0.506800 | + | 0.105311i | ||||
\(919\) | −449.623 | − | 1383.80i | −0.489252 | − | 1.50576i | −0.825726 | − | 0.564071i | \(-0.809234\pi\) |
0.336474 | − | 0.941693i | \(-0.390766\pi\) | |||||||
\(920\) | −397.420 | + | 12.8999i | −0.431978 | + | 0.0140216i | ||||
\(921\) | −153.249 | − | 1078.52i | −0.166394 | − | 1.17103i | ||||
\(922\) | −85.5292 | − | 27.7901i | −0.0927649 | − | 0.0301411i | ||||
\(923\) | 306.403 | − | 222.615i | 0.331964 | − | 0.241186i | ||||
\(924\) | −859.116 | − | 1754.67i | −0.929779 | − | 1.89900i | ||||
\(925\) | 238.587 | + | 287.194i | 0.257932 | + | 0.310480i | ||||
\(926\) | 2183.27i | 2.35775i | ||||||||
\(927\) | 1112.60 | + | 35.4669i | 1.20022 | + | 0.0382599i | ||||
\(928\) | 526.853 | + | 171.185i | 0.567730 | + | 0.184467i | ||||
\(929\) | 1633.41 | + | 530.728i | 1.75825 | + | 0.571290i | 0.997017 | − | 0.0771883i | \(-0.0245942\pi\) |
0.761233 | + | 0.648478i | \(0.224594\pi\) | |||||||
\(930\) | −2280.17 | + | 399.849i | −2.45180 | + | 0.429945i | ||||
\(931\) | 87.6035 | + | 269.616i | 0.0940962 | + | 0.289598i | ||||
\(932\) | 1078.89 | 1.15761 | ||||||||
\(933\) | −684.961 | − | 707.144i | −0.734149 | − | 0.757925i | ||||
\(934\) | −0.781911 | − | 0.568092i | −0.000837164 | − | 0.000608235i | ||||
\(935\) | −13.0710 | − | 402.690i | −0.0139797 | − | 0.430685i | ||||
\(936\) | −628.361 | − | 20.0305i | −0.671325 | − | 0.0214001i | ||||
\(937\) | −598.627 | + | 823.939i | −0.638876 | + | 0.879337i | −0.998555 | − | 0.0537389i | \(-0.982886\pi\) |
0.359679 | + | 0.933076i | \(0.382886\pi\) | |||||||
\(938\) | −1183.71 | − | 860.018i | −1.26196 | − | 0.916864i | ||||
\(939\) | −60.6436 | + | 114.473i | −0.0645832 | + | 0.121910i | ||||
\(940\) | 1194.54 | − | 38.7738i | 1.27079 | − | 0.0412488i | ||||
\(941\) | 563.249 | − | 775.245i | 0.598564 | − | 0.823852i | −0.397012 | − | 0.917813i | \(-0.629953\pi\) |
0.995576 | + | 0.0939610i | \(0.0299529\pi\) | |||||||
\(942\) | 172.914 | + | 178.514i | 0.183560 | + | 0.189505i | ||||
\(943\) | − | 187.842i | − | 0.199196i | ||||||
\(944\) | 87.0090 | − | 28.2709i | 0.0921705 | − | 0.0299480i | ||||
\(945\) | −1016.42 | − | 537.704i | −1.07558 | − | 0.568999i | ||||
\(946\) | −845.186 | + | 2601.21i | −0.893431 | + | 2.74970i | ||||
\(947\) | −367.431 | + | 1130.84i | −0.387994 | + | 1.19412i | 0.546290 | + | 0.837596i | \(0.316040\pi\) |
−0.934285 | + | 0.356528i | \(0.883960\pi\) | |||||||
\(948\) | 1824.07 | + | 966.319i | 1.92412 | + | 1.01932i | ||||
\(949\) | 728.293 | 0.767432 | ||||||||
\(950\) | 711.060 | − | 590.716i | 0.748484 | − | 0.621806i | ||||
\(951\) | −189.055 | − | 386.130i | −0.198796 | − | 0.406025i | ||||
\(952\) | −126.536 | − | 174.162i | −0.132916 | − | 0.182944i | ||||
\(953\) | −82.2330 | + | 253.087i | −0.0862885 | + | 0.265569i | −0.984886 | − | 0.173206i | \(-0.944587\pi\) |
0.898597 | + | 0.438775i | \(0.144587\pi\) | |||||||
\(954\) | −260.368 | − | 383.491i | −0.272922 | − | 0.401982i | ||||
\(955\) | −57.5061 | − | 1771.64i | −0.0602158 | − | 1.85513i | ||||
\(956\) | 1228.93 | − | 399.304i | 1.28549 | − | 0.417682i | ||||
\(957\) | −240.072 | − | 490.328i | −0.250859 | − | 0.512359i | ||||
\(958\) | −1802.64 | + | 585.715i | −1.88168 | + | 0.611393i | ||||
\(959\) | −441.135 | + | 607.170i | −0.459994 | + | 0.633128i | ||||
\(960\) | 207.514 | − | 1466.55i | 0.216160 | − | 1.52765i | ||||
\(961\) | −1264.61 | + | 918.792i | −1.31593 | + | 0.956079i | ||||
\(962\) | 587.709 | + | 426.996i | 0.610924 | + | 0.443862i | ||||
\(963\) | 1269.63 | − | 368.240i | 1.31841 | − | 0.382388i | ||||
\(964\) | 732.139 | − | 531.930i | 0.759481 | − | 0.551795i | ||||
\(965\) | −695.131 | − | 894.251i | −0.720343 | − | 0.926685i | ||||
\(966\) | −1393.92 | − | 243.602i | −1.44298 | − | 0.252176i | ||||
\(967\) | 474.472 | − | 154.165i | 0.490664 | − | 0.159426i | −0.0532267 | − | 0.998582i | \(-0.516951\pi\) |
0.543891 | + | 0.839156i | \(0.316951\pi\) | |||||||
\(968\) | −338.864 | −0.350066 | ||||||||
\(969\) | −148.610 | + | 143.949i | −0.153365 | + | 0.148554i | ||||
\(970\) | 133.523 | − | 196.911i | 0.137653 | − | 0.203001i | ||||
\(971\) | 1507.58 | + | 489.843i | 1.55261 | + | 0.504473i | 0.954821 | − | 0.297182i | \(-0.0960468\pi\) |
0.597787 | + | 0.801655i | \(0.296047\pi\) | |||||||
\(972\) | −504.137 | − | 1220.98i | −0.518660 | − | 1.25616i | ||||
\(973\) | −533.903 | − | 734.854i | −0.548718 | − | 0.755246i | ||||
\(974\) | 1415.21i | 1.45298i | ||||||||
\(975\) | 879.858 | + | 797.657i | 0.902418 | + | 0.818110i | ||||
\(976\) | −467.632 | −0.479131 | ||||||||
\(977\) | −942.945 | + | 685.089i | −0.965143 | + | 0.701217i | −0.954339 | − | 0.298724i | \(-0.903439\pi\) |
−0.0108034 | + | 0.999942i | \(0.503439\pi\) | |||||||
\(978\) | −103.542 | − | 728.699i | −0.105871 | − | 0.745091i | ||||
\(979\) | 541.527 | − | 1666.65i | 0.553143 | − | 1.70240i | ||||
\(980\) | 217.455 | + | 602.054i | 0.221893 | + | 0.614341i | ||||
\(981\) | −1176.87 | − | 424.298i | −1.19966 | − | 0.432515i | ||||
\(982\) | − | 538.123i | − | 0.547986i | ||||||
\(983\) | −119.841 | − | 368.834i | −0.121914 | − | 0.375213i | 0.871412 | − | 0.490551i | \(-0.163205\pi\) |
−0.993326 | + | 0.115339i | \(0.963205\pi\) | |||||||
\(984\) | −135.839 | − | 23.7393i | −0.138048 | − | 0.0241253i | ||||
\(985\) | 153.002 | + | 423.609i | 0.155332 | + | 0.430060i | ||||
\(986\) | −133.848 | − | 184.226i | −0.135748 | − | 0.186842i | ||||
\(987\) | 1106.84 | + | 193.431i | 1.12141 | + | 0.195979i | ||||
\(988\) | 609.044 | − | 838.278i | 0.616442 | − | 0.848459i | ||||
\(989\) | 670.802 | + | 923.279i | 0.678263 | + | 0.933548i | ||||
\(990\) | −1572.22 | + | 1143.68i | −1.58810 | + | 1.15523i | ||||
\(991\) | 1074.57 | + | 780.720i | 1.08433 | + | 0.787811i | 0.978433 | − | 0.206567i | \(-0.0662290\pi\) |
0.105896 | + | 0.994377i | \(0.466229\pi\) | |||||||
\(992\) | −664.699 | − | 2045.73i | −0.670060 | − | 2.06223i | ||||
\(993\) | 521.634 | + | 1065.39i | 0.525311 | + | 1.07291i | ||||
\(994\) | −193.385 | − | 595.179i | −0.194553 | − | 0.598772i | ||||
\(995\) | −775.977 | + | 603.193i | −0.779876 | + | 0.606224i | ||||
\(996\) | 1935.61 | − | 275.033i | 1.94338 | − | 0.276138i | ||||
\(997\) | −744.279 | − | 241.831i | −0.746518 | − | 0.242558i | −0.0890358 | − | 0.996028i | \(-0.528379\pi\) |
−0.657482 | + | 0.753470i | \(0.728379\pi\) | |||||||
\(998\) | 815.393 | − | 592.417i | 0.817027 | − | 0.593605i | ||||
\(999\) | −82.0385 | + | 394.805i | −0.0821206 | + | 0.395200i |
(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 | 75.3.h.a.14.3 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.16 | yes | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.6 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.31 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.16 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.32 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.5 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.3 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.16 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.32 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.5 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.3 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.31 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.16 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.3 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.14.16 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.59.3 | yes | 72 | 75.59 | odd | 10 | inner | |
75.3.h.a.59.16 | yes | 72 | 25.9 | even | 10 | inner | |
375.3.h.a.74.3 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.74.16 | 72 | 5.4 | even | 2 | |||
375.3.h.a.299.3 | 72 | 25.16 | even | 5 | |||
375.3.h.a.299.16 | 72 | 75.41 | odd | 10 | |||
375.3.j.b.176.5 | 144 | 15.8 | even | 4 | |||
375.3.j.b.176.6 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.176.31 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.176.32 | 144 | 15.2 | even | 4 | |||
375.3.j.b.326.5 | 144 | 25.13 | odd | 20 | |||
375.3.j.b.326.6 | 144 | 75.62 | even | 20 | |||
375.3.j.b.326.31 | 144 | 75.38 | even | 20 | |||
375.3.j.b.326.32 | 144 | 25.12 | odd | 20 |