Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,4,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (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: | \(1.47504775014\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Character | \(\chi\) | \(=\) | 25.9 |
Dual form | 25.4.e.a.14.2 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.23725 | + | 3.07931i | −0.790986 | + | 1.08870i | 0.202999 | + | 0.979179i | \(0.434931\pi\) |
−0.993985 | + | 0.109520i | \(0.965069\pi\) | |||||||
\(3\) | 8.89950 | − | 2.89162i | 1.71271 | − | 0.556493i | 0.721928 | − | 0.691968i | \(-0.243256\pi\) |
0.990781 | + | 0.135475i | \(0.0432561\pi\) | |||||||
\(4\) | −2.00472 | − | 6.16988i | −0.250589 | − | 0.771235i | ||||
\(5\) | −3.48187 | + | 10.6243i | −0.311428 | + | 0.950270i | ||||
\(6\) | −11.0062 | + | 33.8735i | −0.748876 | + | 2.30480i | ||||
\(7\) | − | 4.54748i | − | 0.245541i | −0.992435 | − | 0.122770i | \(-0.960822\pi\) | ||
0.992435 | − | 0.122770i | \(-0.0391779\pi\) | |||||||
\(8\) | −5.47554 | − | 1.77911i | −0.241987 | − | 0.0786263i | ||||
\(9\) | 48.9961 | − | 35.5978i | 1.81467 | − | 1.31844i | ||||
\(10\) | −24.9258 | − | 34.4910i | −0.788222 | − | 1.09070i | ||||
\(11\) | 10.9297 | + | 7.94089i | 0.299584 | + | 0.217661i | 0.727414 | − | 0.686198i | \(-0.240722\pi\) |
−0.427830 | + | 0.903859i | \(0.640722\pi\) | |||||||
\(12\) | −35.6819 | − | 49.1119i | −0.858373 | − | 1.18145i | ||||
\(13\) | −40.2463 | − | 55.3943i | −0.858639 | − | 1.18182i | −0.981892 | − | 0.189440i | \(-0.939333\pi\) |
0.123253 | − | 0.992375i | \(-0.460667\pi\) | |||||||
\(14\) | 14.0031 | + | 10.1738i | 0.267320 | + | 0.194219i | ||||
\(15\) | −0.265365 | + | 104.620i | −0.00456780 | + | 1.80084i | ||||
\(16\) | 59.7159 | − | 43.3861i | 0.933060 | − | 0.677908i | ||||
\(17\) | −35.1667 | − | 11.4264i | −0.501716 | − | 0.163017i | 0.0472154 | − | 0.998885i | \(-0.484965\pi\) |
−0.548932 | + | 0.835867i | \(0.684965\pi\) | |||||||
\(18\) | 230.515i | 3.01849i | ||||||||
\(19\) | 0.479342 | − | 1.47526i | 0.00578782 | − | 0.0178131i | −0.948121 | − | 0.317910i | \(-0.897019\pi\) |
0.953909 | + | 0.300097i | \(0.0970190\pi\) | |||||||
\(20\) | 72.5311 | + | 0.183974i | 0.810922 | + | 0.00205689i | ||||
\(21\) | −13.1496 | − | 40.4703i | −0.136642 | − | 0.420540i | ||||
\(22\) | −48.9049 | + | 15.8902i | −0.473934 | + | 0.153991i | ||||
\(23\) | 0.969915 | − | 1.33497i | 0.00879310 | − | 0.0121027i | −0.804598 | − | 0.593820i | \(-0.797619\pi\) |
0.813391 | + | 0.581717i | \(0.197619\pi\) | |||||||
\(24\) | −53.8741 | −0.458208 | ||||||||
\(25\) | −100.753 | − | 73.9852i | −0.806025 | − | 0.591882i | ||||
\(26\) | 260.617 | 1.96581 | ||||||||
\(27\) | 184.600 | − | 254.080i | 1.31579 | − | 1.81103i | ||||
\(28\) | −28.0574 | + | 9.11640i | −0.189370 | + | 0.0615299i | ||||
\(29\) | 49.0853 | + | 151.069i | 0.314307 | + | 0.967339i | 0.976039 | + | 0.217597i | \(0.0698220\pi\) |
−0.661731 | + | 0.749741i | \(0.730178\pi\) | |||||||
\(30\) | −321.562 | − | 234.877i | −1.95696 | − | 1.42941i | ||||
\(31\) | −83.6862 | + | 257.560i | −0.484855 | + | 1.49223i | 0.347337 | + | 0.937741i | \(0.387086\pi\) |
−0.832191 | + | 0.554489i | \(0.812914\pi\) | |||||||
\(32\) | 234.890i | 1.29760i | ||||||||
\(33\) | 120.231 | + | 39.0654i | 0.634228 | + | 0.206073i | ||||
\(34\) | 113.862 | − | 82.7254i | 0.574328 | − | 0.417273i | ||||
\(35\) | 48.3140 | + | 15.8338i | 0.233330 | + | 0.0764684i | ||||
\(36\) | −317.857 | − | 230.937i | −1.47156 | − | 1.06915i | ||||
\(37\) | 81.9442 | + | 112.787i | 0.364096 | + | 0.501135i | 0.951284 | − | 0.308315i | \(-0.0997652\pi\) |
−0.587188 | + | 0.809450i | \(0.699765\pi\) | |||||||
\(38\) | 3.47038 | + | 4.77657i | 0.0148150 | + | 0.0203911i | ||||
\(39\) | −518.351 | − | 376.604i | −2.12827 | − | 1.54628i | ||||
\(40\) | 37.9670 | − | 51.9793i | 0.150078 | − | 0.205466i | ||||
\(41\) | 80.5761 | − | 58.5420i | 0.306924 | − | 0.222993i | −0.423652 | − | 0.905825i | \(-0.639252\pi\) |
0.730575 | + | 0.682832i | \(0.239252\pi\) | |||||||
\(42\) | 154.039 | + | 50.0504i | 0.565923 | + | 0.183880i | ||||
\(43\) | − | 135.690i | − | 0.481223i | −0.970622 | − | 0.240611i | \(-0.922652\pi\) | ||
0.970622 | − | 0.240611i | \(-0.0773479\pi\) | |||||||
\(44\) | 27.0834 | − | 83.3542i | 0.0927949 | − | 0.285593i | ||||
\(45\) | 207.604 | + | 644.498i | 0.687729 | + | 2.13502i | ||||
\(46\) | 1.94085 | + | 5.97333i | 0.00622094 | + | 0.0191461i | ||||
\(47\) | −171.103 | + | 55.5946i | −0.531019 | + | 0.172539i | −0.562240 | − | 0.826974i | \(-0.690060\pi\) |
0.0312212 | + | 0.999512i | \(0.490060\pi\) | |||||||
\(48\) | 405.985 | − | 558.790i | 1.22081 | − | 1.68030i | ||||
\(49\) | 322.320 | 0.939710 | ||||||||
\(50\) | 453.233 | − | 144.726i | 1.28194 | − | 0.409348i | ||||
\(51\) | −346.007 | −0.950012 | ||||||||
\(52\) | −261.094 | + | 359.365i | −0.696292 | + | 0.958363i | ||||
\(53\) | −303.428 | + | 98.5897i | −0.786397 | + | 0.255516i | −0.674569 | − | 0.738212i | \(-0.735670\pi\) |
−0.111828 | + | 0.993728i | \(0.535670\pi\) | |||||||
\(54\) | 369.395 | + | 1136.88i | 0.930894 | + | 2.86500i | ||||
\(55\) | −122.423 | + | 88.4716i | −0.300136 | + | 0.216900i | ||||
\(56\) | −8.09047 | + | 24.8999i | −0.0193060 | + | 0.0594177i | ||||
\(57\) | − | 14.5152i | − | 0.0337295i | ||||||
\(58\) | −575.004 | − | 186.830i | −1.30175 | − | 0.422965i | ||||
\(59\) | −119.049 | + | 86.4944i | −0.262693 | + | 0.190858i | −0.711334 | − | 0.702855i | \(-0.751908\pi\) |
0.448640 | + | 0.893712i | \(0.351908\pi\) | |||||||
\(60\) | 646.022 | − | 208.095i | 1.39002 | − | 0.447749i | ||||
\(61\) | 180.319 | + | 131.009i | 0.378483 | + | 0.274984i | 0.760720 | − | 0.649080i | \(-0.224846\pi\) |
−0.382237 | + | 0.924064i | \(0.624846\pi\) | |||||||
\(62\) | −605.879 | − | 833.920i | −1.24108 | − | 1.70819i | ||||
\(63\) | −161.880 | − | 222.809i | −0.323730 | − | 0.445576i | ||||
\(64\) | −245.572 | − | 178.418i | −0.479633 | − | 0.348474i | ||||
\(65\) | 728.660 | − | 234.714i | 1.39045 | − | 0.447888i | ||||
\(66\) | −389.280 | + | 282.829i | −0.726017 | + | 0.527482i | ||||
\(67\) | 842.149 | + | 273.631i | 1.53560 | + | 0.498945i | 0.950157 | − | 0.311772i | \(-0.100922\pi\) |
0.585439 | + | 0.810717i | \(0.300922\pi\) | |||||||
\(68\) | 239.881i | 0.427792i | ||||||||
\(69\) | 4.77152 | − | 14.6852i | 0.00832498 | − | 0.0256216i | ||||
\(70\) | −156.847 | + | 113.349i | −0.267812 | + | 0.193541i | ||||
\(71\) | −163.685 | − | 503.769i | −0.273603 | − | 0.842062i | −0.989586 | − | 0.143945i | \(-0.954021\pi\) |
0.715983 | − | 0.698118i | \(-0.245979\pi\) | |||||||
\(72\) | −331.612 | + | 107.747i | −0.542790 | + | 0.176363i | ||||
\(73\) | −210.474 | + | 289.693i | −0.337454 | + | 0.464466i | −0.943696 | − | 0.330815i | \(-0.892676\pi\) |
0.606242 | + | 0.795281i | \(0.292676\pi\) | |||||||
\(74\) | −530.633 | −0.833580 | ||||||||
\(75\) | −1110.59 | − | 367.091i | −1.70986 | − | 0.565174i | ||||
\(76\) | −10.0631 | −0.0151884 | ||||||||
\(77\) | 36.1110 | − | 49.7026i | 0.0534446 | − | 0.0735602i | ||||
\(78\) | 2319.36 | − | 753.605i | 3.36687 | − | 1.09396i | ||||
\(79\) | −243.724 | − | 750.104i | −0.347102 | − | 1.06827i | −0.960449 | − | 0.278456i | \(-0.910177\pi\) |
0.613347 | − | 0.789813i | \(-0.289823\pi\) | |||||||
\(80\) | 253.026 | + | 785.506i | 0.353614 | + | 1.09778i | ||||
\(81\) | 402.844 | − | 1239.83i | 0.552598 | − | 1.70072i | ||||
\(82\) | 379.091i | 0.510532i | ||||||||
\(83\) | −855.369 | − | 277.926i | −1.13119 | − | 0.367546i | −0.317163 | − | 0.948371i | \(-0.602730\pi\) |
−0.814029 | + | 0.580825i | \(0.802730\pi\) | |||||||
\(84\) | −223.336 | + | 162.263i | −0.290094 | + | 0.210766i | ||||
\(85\) | 243.843 | − | 333.838i | 0.311159 | − | 0.425997i | ||||
\(86\) | 417.832 | + | 303.573i | 0.523907 | + | 0.380640i | ||||
\(87\) | 873.669 | + | 1202.50i | 1.07663 | + | 1.48186i | ||||
\(88\) | −45.7183 | − | 62.9258i | −0.0553816 | − | 0.0762263i | ||||
\(89\) | 68.1097 | + | 49.4846i | 0.0811192 | + | 0.0589366i | 0.627606 | − | 0.778531i | \(-0.284035\pi\) |
−0.546486 | + | 0.837468i | \(0.684035\pi\) | |||||||
\(90\) | −2449.07 | − | 802.624i | −2.86838 | − | 0.940044i | ||||
\(91\) | −251.904 | + | 183.019i | −0.290184 | + | 0.210831i | ||||
\(92\) | −10.1810 | − | 3.30802i | −0.0115375 | − | 0.00374875i | ||||
\(93\) | 2534.14i | 2.82557i | ||||||||
\(94\) | 211.606 | − | 651.256i | 0.232186 | − | 0.714595i | ||||
\(95\) | 14.0047 | + | 10.2294i | 0.0151247 | + | 0.0110475i | ||||
\(96\) | 679.214 | + | 2090.40i | 0.722104 | + | 2.22241i | ||||
\(97\) | 851.962 | − | 276.819i | 0.891790 | − | 0.289760i | 0.172946 | − | 0.984931i | \(-0.444672\pi\) |
0.718844 | + | 0.695171i | \(0.244672\pi\) | |||||||
\(98\) | −721.110 | + | 992.523i | −0.743297 | + | 1.02306i | ||||
\(99\) | 818.191 | 0.830619 | ||||||||
\(100\) | −254.499 | + | 769.954i | −0.254499 | + | 0.769954i | ||||
\(101\) | −818.982 | −0.806849 | −0.403425 | − | 0.915013i | \(-0.632180\pi\) | ||||
−0.403425 | + | 0.915013i | \(0.632180\pi\) | |||||||
\(102\) | 774.102 | − | 1065.46i | 0.751446 | − | 1.03428i | ||||
\(103\) | 894.397 | − | 290.607i | 0.855607 | − | 0.278004i | 0.151814 | − | 0.988409i | \(-0.451488\pi\) |
0.703793 | + | 0.710405i | \(0.251488\pi\) | |||||||
\(104\) | 121.818 | + | 374.916i | 0.114858 | + | 0.353496i | ||||
\(105\) | 475.755 | + | 1.20674i | 0.442180 | + | 0.00112158i | ||||
\(106\) | 375.255 | − | 1154.92i | 0.343849 | − | 1.05826i | ||||
\(107\) | − | 1461.83i | − | 1.32075i | −0.750937 | − | 0.660374i | \(-0.770398\pi\) | ||
0.750937 | − | 0.660374i | \(-0.229602\pi\) | |||||||
\(108\) | −1937.72 | − | 629.602i | −1.72645 | − | 0.560958i | ||||
\(109\) | 289.623 | − | 210.424i | 0.254504 | − | 0.184908i | −0.453217 | − | 0.891400i | \(-0.649724\pi\) |
0.707720 | + | 0.706493i | \(0.249724\pi\) | |||||||
\(110\) | 1.45825 | − | 574.909i | 0.00126398 | − | 0.498322i | ||||
\(111\) | 1055.40 | + | 766.791i | 0.902468 | + | 0.655681i | ||||
\(112\) | −197.297 | − | 271.557i | −0.166454 | − | 0.229104i | ||||
\(113\) | 509.732 | + | 701.585i | 0.424350 | + | 0.584067i | 0.966645 | − | 0.256121i | \(-0.0824445\pi\) |
−0.542295 | + | 0.840188i | \(0.682444\pi\) | |||||||
\(114\) | 44.6967 | + | 32.4740i | 0.0367213 | + | 0.0266796i | ||||
\(115\) | 10.8061 | + | 14.9529i | 0.00876238 | + | 0.0121249i | ||||
\(116\) | 833.676 | − | 605.701i | 0.667283 | − | 0.484810i | ||||
\(117\) | −3943.82 | − | 1281.43i | −3.11630 | − | 1.01255i | ||||
\(118\) | − | 560.099i | − | 0.436960i | ||||||
\(119\) | −51.9611 | + | 159.920i | −0.0400275 | + | 0.123192i | ||||
\(120\) | 187.583 | − | 572.376i | 0.142699 | − | 0.435421i | ||||
\(121\) | −354.901 | − | 1092.27i | −0.266642 | − | 0.820641i | ||||
\(122\) | −806.836 | + | 262.157i | −0.598750 | + | 0.194546i | ||||
\(123\) | 547.806 | − | 753.990i | 0.401577 | − | 0.552723i | ||||
\(124\) | 1756.88 | 1.27236 | ||||||||
\(125\) | 1136.85 | − | 812.828i | 0.813466 | − | 0.581612i | ||||
\(126\) | 1048.26 | 0.741163 | ||||||||
\(127\) | −1375.95 | + | 1893.83i | −0.961384 | + | 1.32323i | −0.0151035 | + | 0.999886i | \(0.504808\pi\) |
−0.946281 | + | 0.323346i | \(0.895192\pi\) | |||||||
\(128\) | −688.341 | + | 223.656i | −0.475323 | + | 0.154442i | ||||
\(129\) | −392.365 | − | 1207.58i | −0.267797 | − | 0.824194i | ||||
\(130\) | −907.435 | + | 2768.88i | −0.612210 | + | 1.86805i | ||||
\(131\) | −470.086 | + | 1446.78i | −0.313524 | + | 0.964926i | 0.662834 | + | 0.748766i | \(0.269353\pi\) |
−0.976358 | + | 0.216160i | \(0.930647\pi\) | |||||||
\(132\) | − | 820.125i | − | 0.540778i | ||||||
\(133\) | −6.70873 | − | 2.17980i | −0.00437384 | − | 0.00142115i | ||||
\(134\) | −2726.69 | + | 1981.06i | −1.75784 | + | 1.27714i | ||||
\(135\) | 2056.68 | + | 2845.93i | 1.31119 | + | 1.81436i | ||||
\(136\) | 172.228 | + | 125.131i | 0.108591 | + | 0.0788962i | ||||
\(137\) | −1017.81 | − | 1400.90i | −0.634727 | − | 0.873626i | 0.363594 | − | 0.931558i | \(-0.381550\pi\) |
−0.998321 | + | 0.0579314i | \(0.981550\pi\) | |||||||
\(138\) | 34.5452 | + | 47.5474i | 0.0213093 | + | 0.0293298i | ||||
\(139\) | 1132.98 | + | 823.160i | 0.691355 | + | 0.502299i | 0.877105 | − | 0.480298i | \(-0.159472\pi\) |
−0.185750 | + | 0.982597i | \(0.559472\pi\) | |||||||
\(140\) | 0.836616 | − | 329.834i | 0.000505050 | − | 0.199114i | ||||
\(141\) | −1361.97 | + | 989.528i | −0.813464 | + | 0.591017i | ||||
\(142\) | 1917.46 | + | 623.021i | 1.13317 | + | 0.368189i | ||||
\(143\) | − | 925.034i | − | 0.540946i | ||||||
\(144\) | 1381.40 | − | 4251.50i | 0.799419 | − | 2.46036i | ||||
\(145\) | −1775.92 | − | 4.50458i | −1.01712 | − | 0.00257990i | ||||
\(146\) | −421.171 | − | 1296.23i | −0.238742 | − | 0.734772i | ||||
\(147\) | 2868.49 | − | 932.029i | 1.60945 | − | 0.522942i | ||||
\(148\) | 531.604 | − | 731.691i | 0.295254 | − | 0.406382i | ||||
\(149\) | 3308.53 | 1.81910 | 0.909549 | − | 0.415596i | \(-0.136427\pi\) | ||||
0.909549 | + | 0.415596i | \(0.136427\pi\) | |||||||
\(150\) | 3615.05 | − | 2598.57i | 1.96778 | − | 1.41448i | ||||
\(151\) | −2045.43 | −1.10235 | −0.551173 | − | 0.834391i | \(-0.685820\pi\) | ||||
−0.551173 | + | 0.834391i | \(0.685820\pi\) | |||||||
\(152\) | −5.24931 | + | 7.22506i | −0.00280116 | + | 0.00385546i | ||||
\(153\) | −2129.78 | + | 692.009i | −1.12538 | + | 0.365657i | ||||
\(154\) | 72.2602 | + | 222.394i | 0.0378110 | + | 0.116370i | ||||
\(155\) | −2445.02 | − | 1785.90i | −1.26702 | − | 0.925465i | ||||
\(156\) | −1284.46 | + | 3953.15i | −0.659223 | + | 2.02888i | ||||
\(157\) | 2310.21i | 1.17436i | 0.809457 | + | 0.587180i | \(0.199762\pi\) | ||||
−0.809457 | + | 0.587180i | \(0.800238\pi\) | |||||||
\(158\) | 2855.07 | + | 927.668i | 1.43758 | + | 0.467097i | ||||
\(159\) | −2415.27 | + | 1754.80i | −1.20468 | + | 0.875248i | ||||
\(160\) | −2495.55 | − | 817.858i | −1.23307 | − | 0.404109i | ||||
\(161\) | −6.07077 | − | 4.41067i | −0.00297170 | − | 0.00215907i | ||||
\(162\) | 2916.54 | + | 4014.27i | 1.41448 | + | 1.94686i | ||||
\(163\) | −1074.35 | − | 1478.72i | −0.516257 | − | 0.710567i | 0.468702 | − | 0.883357i | \(-0.344722\pi\) |
−0.984959 | + | 0.172790i | \(0.944722\pi\) | |||||||
\(164\) | −522.729 | − | 379.785i | −0.248892 | − | 0.180831i | ||||
\(165\) | −833.673 | + | 1141.35i | −0.393341 | + | 0.538510i | ||||
\(166\) | 2769.49 | − | 2012.15i | 1.29490 | − | 0.940803i | ||||
\(167\) | 1439.88 | + | 467.846i | 0.667194 | + | 0.216784i | 0.622980 | − | 0.782238i | \(-0.285922\pi\) |
0.0442138 | + | 0.999022i | \(0.485922\pi\) | |||||||
\(168\) | 244.991i | 0.112509i | ||||||||
\(169\) | −769.851 | + | 2369.36i | −0.350410 | + | 1.07845i | ||||
\(170\) | 482.450 | + | 1497.75i | 0.217660 | + | 0.675717i | ||||
\(171\) | −29.0302 | − | 89.3457i | −0.0129824 | − | 0.0399558i | ||||
\(172\) | −837.193 | + | 272.020i | −0.371136 | + | 0.120589i | ||||
\(173\) | 2433.94 | − | 3350.03i | 1.06965 | − | 1.47224i | 0.199211 | − | 0.979957i | \(-0.436162\pi\) |
0.870434 | − | 0.492284i | \(-0.163838\pi\) | |||||||
\(174\) | −5657.49 | −2.46490 | ||||||||
\(175\) | −336.446 | + | 458.173i | −0.145331 | + | 0.197912i | ||||
\(176\) | 997.201 | 0.427084 | ||||||||
\(177\) | −809.370 | + | 1114.00i | −0.343706 | + | 0.473071i | ||||
\(178\) | −304.756 | + | 99.0213i | −0.128328 | + | 0.0416964i | ||||
\(179\) | −315.055 | − | 969.640i | −0.131555 | − | 0.404884i | 0.863483 | − | 0.504377i | \(-0.168278\pi\) |
−0.995038 | + | 0.0994931i | \(0.968278\pi\) | |||||||
\(180\) | 3560.29 | − | 2572.93i | 1.47427 | − | 1.06542i | ||||
\(181\) | 1009.18 | − | 3105.94i | 0.414430 | − | 1.27549i | −0.498329 | − | 0.866988i | \(-0.666053\pi\) |
0.912759 | − | 0.408497i | \(-0.133947\pi\) | |||||||
\(182\) | − | 1185.15i | − | 0.482688i | ||||||
\(183\) | 1983.58 | + | 644.503i | 0.801258 | + | 0.260345i | ||||
\(184\) | −7.68588 | + | 5.58412i | −0.00307940 | + | 0.00223732i | ||||
\(185\) | −1483.60 | + | 477.894i | −0.589603 | + | 0.189922i | ||||
\(186\) | −7803.40 | − | 5669.50i | −3.07620 | − | 2.23499i | ||||
\(187\) | −293.626 | − | 404.142i | −0.114824 | − | 0.158041i | ||||
\(188\) | 686.024 | + | 944.232i | 0.266135 | + | 0.366304i | ||||
\(189\) | −1155.43 | − | 839.466i | −0.444682 | − | 0.323080i | ||||
\(190\) | −62.8313 | + | 20.2391i | −0.0239909 | + | 0.00772788i | ||||
\(191\) | −279.890 | + | 203.352i | −0.106032 | + | 0.0770367i | −0.639538 | − | 0.768760i | \(-0.720874\pi\) |
0.533506 | + | 0.845796i | \(0.320874\pi\) | |||||||
\(192\) | −2701.39 | − | 877.733i | −1.01539 | − | 0.329922i | ||||
\(193\) | 1401.94i | 0.522869i | 0.965221 | + | 0.261434i | \(0.0841955\pi\) | ||||
−0.965221 | + | 0.261434i | \(0.915805\pi\) | |||||||
\(194\) | −1053.64 | + | 3242.76i | −0.389932 | + | 1.20009i | ||||
\(195\) | 5806.00 | − | 4195.85i | 2.13219 | − | 1.54088i | ||||
\(196\) | −646.161 | − | 1988.68i | −0.235481 | − | 0.724737i | ||||
\(197\) | 1371.47 | − | 445.616i | 0.496004 | − | 0.161162i | −0.0503235 | − | 0.998733i | \(-0.516025\pi\) |
0.546328 | + | 0.837571i | \(0.316025\pi\) | |||||||
\(198\) | −1830.49 | + | 2519.46i | −0.657008 | + | 0.904294i | ||||
\(199\) | −180.474 | −0.0642886 | −0.0321443 | − | 0.999483i | \(-0.510234\pi\) | ||||
−0.0321443 | + | 0.999483i | \(0.510234\pi\) | |||||||
\(200\) | 420.050 | + | 584.360i | 0.148510 | + | 0.206602i | ||||
\(201\) | 8285.94 | 2.90769 | ||||||||
\(202\) | 1832.26 | − | 2521.90i | 0.638206 | − | 0.878416i | ||||
\(203\) | 686.984 | − | 223.214i | 0.237521 | − | 0.0771753i | ||||
\(204\) | 693.645 | + | 2134.82i | 0.238063 | + | 0.732682i | ||||
\(205\) | 341.414 | + | 1059.90i | 0.116319 | + | 0.361107i | ||||
\(206\) | −1106.12 | + | 3404.28i | −0.374111 | + | 1.15140i | ||||
\(207\) | − | 99.9353i | − | 0.0335555i | ||||||
\(208\) | −4806.68 | − | 1561.79i | −1.60232 | − | 0.520627i | ||||
\(209\) | 16.9540 | − | 12.3178i | 0.00561115 | − | 0.00407674i | ||||
\(210\) | −1068.10 | + | 1462.30i | −0.350980 | + | 0.480514i | ||||
\(211\) | 1753.92 | + | 1274.30i | 0.572250 | + | 0.415764i | 0.835922 | − | 0.548848i | \(-0.184934\pi\) |
−0.263672 | + | 0.964612i | \(0.584934\pi\) | |||||||
\(212\) | 1216.57 | + | 1674.47i | 0.394125 | + | 0.542467i | ||||
\(213\) | −2913.42 | − | 4009.98i | −0.937203 | − | 1.28995i | ||||
\(214\) | 4501.41 | + | 3270.46i | 1.43790 | + | 1.04469i | ||||
\(215\) | 1441.62 | + | 472.457i | 0.457291 | + | 0.149866i | ||||
\(216\) | −1462.82 | + | 1062.80i | −0.460799 | + | 0.334790i | ||||
\(217\) | 1171.25 | + | 380.562i | 0.366403 | + | 0.119052i | ||||
\(218\) | 1362.61i | 0.423337i | ||||||||
\(219\) | −1035.43 | + | 3186.73i | −0.319489 | + | 0.983286i | ||||
\(220\) | 791.282 | + | 577.972i | 0.242492 | + | 0.177122i | ||||
\(221\) | 782.375 | + | 2407.90i | 0.238137 | + | 0.732909i | ||||
\(222\) | −4722.37 | + | 1534.39i | −1.42768 | + | 0.463881i | ||||
\(223\) | −1321.79 | + | 1819.29i | −0.396923 | + | 0.546318i | −0.959969 | − | 0.280108i | \(-0.909630\pi\) |
0.563045 | + | 0.826426i | \(0.309630\pi\) | |||||||
\(224\) | 1068.16 | 0.318613 | ||||||||
\(225\) | −7570.22 | − | 38.4037i | −2.24303 | − | 0.0113789i | ||||
\(226\) | −3300.79 | −0.971528 | ||||||||
\(227\) | −624.114 | + | 859.019i | −0.182484 | + | 0.251168i | −0.890452 | − | 0.455076i | \(-0.849612\pi\) |
0.707968 | + | 0.706244i | \(0.249612\pi\) | |||||||
\(228\) | −89.5569 | + | 29.0988i | −0.0260134 | + | 0.00845226i | ||||
\(229\) | −809.805 | − | 2492.32i | −0.233683 | − | 0.719203i | −0.997293 | − | 0.0735253i | \(-0.976575\pi\) |
0.763610 | − | 0.645678i | \(-0.223425\pi\) | |||||||
\(230\) | −70.2205 | − | 0.178113i | −0.0201313 | − | 5.10627e-5i | ||||
\(231\) | 177.649 | − | 546.748i | 0.0505993 | − | 0.155729i | ||||
\(232\) | − | 914.513i | − | 0.258796i | ||||||
\(233\) | 5838.56 | + | 1897.06i | 1.64162 | + | 0.533393i | 0.976899 | − | 0.213702i | \(-0.0685521\pi\) |
0.664717 | + | 0.747095i | \(0.268552\pi\) | |||||||
\(234\) | 12769.2 | − | 9277.37i | 3.56730 | − | 2.59180i | ||||
\(235\) | 5.10194 | − | 2011.43i | 0.00141623 | − | 0.558345i | ||||
\(236\) | 772.320 | + | 561.123i | 0.213024 | + | 0.154771i | ||||
\(237\) | −4338.03 | − | 5970.79i | −1.18897 | − | 1.63648i | ||||
\(238\) | −376.192 | − | 517.784i | −0.102458 | − | 0.141021i | ||||
\(239\) | −1098.55 | − | 798.145i | −0.297320 | − | 0.216016i | 0.429117 | − | 0.903249i | \(-0.358825\pi\) |
−0.726437 | + | 0.687234i | \(0.758825\pi\) | |||||||
\(240\) | 4523.19 | + | 6258.96i | 1.21654 | + | 1.68339i | ||||
\(241\) | −1999.56 | + | 1452.77i | −0.534452 | + | 0.388302i | −0.822021 | − | 0.569458i | \(-0.807153\pi\) |
0.287568 | + | 0.957760i | \(0.407153\pi\) | |||||||
\(242\) | 4157.44 | + | 1350.84i | 1.10434 | + | 0.358822i | ||||
\(243\) | − | 3719.06i | − | 0.981801i | ||||||
\(244\) | 446.824 | − | 1375.18i | 0.117233 | − | 0.360808i | ||||
\(245\) | −1122.28 | + | 3424.44i | −0.292652 | + | 0.892978i | ||||
\(246\) | 1096.19 | + | 3373.72i | 0.284107 | + | 0.874393i | ||||
\(247\) | −101.013 | + | 32.8211i | −0.0260214 | + | 0.00845488i | ||||
\(248\) | 916.455 | − | 1261.39i | 0.234657 | − | 0.322978i | ||||
\(249\) | −8416.01 | −2.14194 | ||||||||
\(250\) | −40.4770 | + | 5319.22i | −0.0102399 | + | 1.34567i | ||||
\(251\) | −5820.65 | −1.46373 | −0.731865 | − | 0.681450i | \(-0.761350\pi\) | ||||
−0.731865 | + | 0.681450i | \(0.761350\pi\) | |||||||
\(252\) | −1050.18 | + | 1445.45i | −0.262520 | + | 0.361328i | ||||
\(253\) | 21.2018 | − | 6.88887i | 0.00526855 | − | 0.00171186i | ||||
\(254\) | −2753.35 | − | 8473.94i | −0.680160 | − | 2.09332i | ||||
\(255\) | 1204.75 | − | 3676.09i | 0.295861 | − | 0.902768i | ||||
\(256\) | 1601.69 | − | 4929.48i | 0.391037 | − | 1.20349i | ||||
\(257\) | 3408.82i | 0.827378i | 0.910418 | + | 0.413689i | \(0.135760\pi\) | ||||
−0.910418 | + | 0.413689i | \(0.864240\pi\) | |||||||
\(258\) | 4596.31 | + | 1493.43i | 1.10912 | + | 0.360376i | ||||
\(259\) | 512.894 | − | 372.640i | 0.123049 | − | 0.0894004i | ||||
\(260\) | −2908.91 | − | 4025.21i | −0.693859 | − | 0.960126i | ||||
\(261\) | 7782.71 | + | 5654.47i | 1.84574 | + | 1.34101i | ||||
\(262\) | −3403.37 | − | 4684.33i | −0.802522 | − | 1.10458i | ||||
\(263\) | 1808.74 | + | 2489.52i | 0.424075 | + | 0.583690i | 0.966581 | − | 0.256363i | \(-0.0825241\pi\) |
−0.542505 | + | 0.840052i | \(0.682524\pi\) | |||||||
\(264\) | −588.827 | − | 427.808i | −0.137272 | − | 0.0997340i | ||||
\(265\) | 9.04762 | − | 3567.00i | 0.00209732 | − | 0.826864i | ||||
\(266\) | 21.7214 | − | 15.7815i | 0.00500685 | − | 0.00363769i | ||||
\(267\) | 749.232 | + | 243.440i | 0.171731 | + | 0.0557989i | ||||
\(268\) | − | 5744.51i | − | 1.30934i | ||||||
\(269\) | 2239.41 | − | 6892.21i | 0.507582 | − | 1.56218i | −0.288805 | − | 0.957388i | \(-0.593258\pi\) |
0.796387 | − | 0.604788i | \(-0.206742\pi\) | |||||||
\(270\) | −13364.8 | − | 33.8995i | −3.01243 | − | 0.00764096i | ||||
\(271\) | 347.203 | + | 1068.58i | 0.0778268 | + | 0.239526i | 0.982399 | − | 0.186794i | \(-0.0598097\pi\) |
−0.904572 | + | 0.426320i | \(0.859810\pi\) | |||||||
\(272\) | −2595.75 | + | 843.412i | −0.578642 | + | 0.188012i | ||||
\(273\) | −1712.60 | + | 2357.19i | −0.379675 | + | 0.522578i | ||||
\(274\) | 6590.89 | 1.45318 | ||||||||
\(275\) | −513.692 | − | 1608.71i | −0.112643 | − | 0.352759i | ||||
\(276\) | −100.172 | −0.0218465 | ||||||||
\(277\) | 580.951 | − | 799.610i | 0.126014 | − | 0.173444i | −0.741348 | − | 0.671120i | \(-0.765813\pi\) |
0.867363 | + | 0.497677i | \(0.165813\pi\) | |||||||
\(278\) | −5069.52 | + | 1647.19i | −1.09370 | + | 0.355366i | ||||
\(279\) | 5068.25 | + | 15598.5i | 1.08756 | + | 3.34715i | ||||
\(280\) | −236.375 | − | 172.654i | −0.0504504 | − | 0.0368502i | ||||
\(281\) | −1539.49 | + | 4738.07i | −0.326827 | + | 1.00587i | 0.643782 | + | 0.765209i | \(0.277365\pi\) |
−0.970609 | + | 0.240662i | \(0.922635\pi\) | |||||||
\(282\) | − | 6407.74i | − | 1.35310i | ||||||
\(283\) | −3972.03 | − | 1290.59i | −0.834320 | − | 0.271087i | −0.139456 | − | 0.990228i | \(-0.544535\pi\) |
−0.694864 | + | 0.719141i | \(0.744535\pi\) | |||||||
\(284\) | −2780.06 | + | 2019.83i | −0.580866 | + | 0.422024i | ||||
\(285\) | 154.214 | + | 50.5400i | 0.0320521 | + | 0.0105043i | ||||
\(286\) | 2848.46 | + | 2069.53i | 0.588927 | + | 0.427881i | ||||
\(287\) | −266.218 | − | 366.418i | −0.0547539 | − | 0.0753623i | ||||
\(288\) | 8361.56 | + | 11508.7i | 1.71080 | + | 2.35471i | ||||
\(289\) | −2868.57 | − | 2084.13i | −0.583872 | − | 0.424208i | ||||
\(290\) | 3987.04 | − | 5458.52i | 0.807334 | − | 1.10529i | ||||
\(291\) | 6781.57 | − | 4927.10i | 1.36613 | − | 0.992549i | ||||
\(292\) | 2209.31 | + | 717.849i | 0.442775 | + | 0.143866i | ||||
\(293\) | − | 4398.00i | − | 0.876908i | −0.898754 | − | 0.438454i | \(-0.855526\pi\) | ||
0.898754 | − | 0.438454i | \(-0.144474\pi\) | |||||||
\(294\) | −3547.52 | + | 10918.1i | −0.703726 | + | 2.16585i | ||||
\(295\) | −504.431 | − | 1565.98i | −0.0995563 | − | 0.309068i | ||||
\(296\) | −248.029 | − | 763.355i | −0.0487040 | − | 0.149896i | ||||
\(297\) | 4035.25 | − | 1311.13i | 0.788380 | − | 0.256160i | ||||
\(298\) | −7402.01 | + | 10188.0i | −1.43888 | + | 1.98045i | ||||
\(299\) | −112.985 | −0.0218532 | ||||||||
\(300\) | −38.4945 | + | 7588.11i | −0.00740826 | + | 1.46033i | ||||
\(301\) | −617.049 | −0.118160 | ||||||||
\(302\) | 4576.12 | − | 6298.49i | 0.871941 | − | 1.20012i | ||||
\(303\) | −7288.53 | + | 2368.19i | −1.38190 | + | 0.449006i | ||||
\(304\) | −35.3816 | − | 108.893i | −0.00667525 | − | 0.0205443i | ||||
\(305\) | −2019.74 | + | 1459.61i | −0.379179 | + | 0.274023i | ||||
\(306\) | 2633.94 | − | 8106.45i | 0.492067 | − | 1.51443i | ||||
\(307\) | 7522.88i | 1.39855i | 0.714855 | + | 0.699273i | \(0.246493\pi\) | ||||
−0.714855 | + | 0.699273i | \(0.753507\pi\) | |||||||
\(308\) | −379.051 | − | 123.161i | −0.0701249 | − | 0.0227849i | ||||
\(309\) | 7119.36 | − | 5172.51i | 1.31070 | − | 0.952279i | ||||
\(310\) | 10969.4 | − | 3533.45i | 2.00975 | − | 0.647376i | ||||
\(311\) | −1641.91 | − | 1192.92i | −0.299371 | − | 0.217506i | 0.427951 | − | 0.903802i | \(-0.359235\pi\) |
−0.727322 | + | 0.686296i | \(0.759235\pi\) | |||||||
\(312\) | 2168.23 | + | 2984.31i | 0.393436 | + | 0.541518i | ||||
\(313\) | 5314.68 | + | 7315.03i | 0.959756 | + | 1.32099i | 0.947055 | + | 0.321071i | \(0.104043\pi\) |
0.0127008 | + | 0.999919i | \(0.495957\pi\) | |||||||
\(314\) | −7113.83 | − | 5168.50i | −1.27852 | − | 0.928902i | ||||
\(315\) | 2930.84 | − | 944.076i | 0.524236 | − | 0.168866i | ||||
\(316\) | −4139.46 | + | 3007.49i | −0.736907 | + | 0.535394i | ||||
\(317\) | −5959.78 | − | 1936.45i | −1.05595 | − | 0.343098i | −0.270946 | − | 0.962594i | \(-0.587337\pi\) |
−0.784999 | + | 0.619497i | \(0.787337\pi\) | |||||||
\(318\) | − | 11363.3i | − | 2.00384i | ||||||
\(319\) | −663.135 | + | 2040.92i | −0.116390 | + | 0.358212i | ||||
\(320\) | 2750.63 | − | 1987.81i | 0.480515 | − | 0.347256i | ||||
\(321\) | −4227.05 | − | 13009.5i | −0.734987 | − | 2.26206i | ||||
\(322\) | 27.1636 | − | 8.82599i | 0.00470115 | − | 0.00152749i | ||||
\(323\) | −33.7138 | + | 46.4030i | −0.00580769 | + | 0.00799360i | ||||
\(324\) | −8457.16 | −1.45013 | ||||||||
\(325\) | −43.4186 | + | 8558.77i | −0.00741056 | + | 1.46079i | ||||
\(326\) | 6957.03 | 1.18195 | ||||||||
\(327\) | 1969.04 | − | 2710.15i | 0.332991 | − | 0.458322i | ||||
\(328\) | −545.350 | + | 177.195i | −0.0918047 | + | 0.0298291i | ||||
\(329\) | 252.815 | + | 778.086i | 0.0423653 | + | 0.130387i | ||||
\(330\) | −1649.44 | − | 5120.62i | −0.275148 | − | 0.854184i | ||||
\(331\) | 3252.86 | − | 10011.3i | 0.540161 | − | 1.66244i | −0.192064 | − | 0.981382i | \(-0.561518\pi\) |
0.732225 | − | 0.681063i | \(-0.238482\pi\) | |||||||
\(332\) | 5834.68i | 0.964518i | ||||||||
\(333\) | 8029.89 | + | 2609.07i | 1.32143 | + | 0.429358i | ||||
\(334\) | −4662.01 | + | 3387.15i | −0.763754 | + | 0.554900i | ||||
\(335\) | −5839.41 | + | 7994.53i | −0.952361 | + | 1.30384i | ||||
\(336\) | −2541.09 | − | 1846.21i | −0.412582 | − | 0.299759i | ||||
\(337\) | 2314.77 | + | 3186.01i | 0.374166 | + | 0.514995i | 0.954027 | − | 0.299720i | \(-0.0968934\pi\) |
−0.579862 | + | 0.814715i | \(0.696893\pi\) | |||||||
\(338\) | −5573.63 | − | 7671.44i | −0.896939 | − | 1.23453i | ||||
\(339\) | 6565.07 | + | 4769.81i | 1.05182 | + | 0.764190i | ||||
\(340\) | −2548.58 | − | 835.235i | −0.406517 | − | 0.133226i | ||||
\(341\) | −2959.92 | + | 2150.51i | −0.470055 | + | 0.341515i | ||||
\(342\) | 340.070 | + | 110.496i | 0.0537687 | + | 0.0174705i | ||||
\(343\) | − | 3025.53i | − | 0.476278i | ||||||
\(344\) | −241.408 | + | 742.977i | −0.0378368 | + | 0.116450i | ||||
\(345\) | 139.407 | + | 101.826i | 0.0217548 | + | 0.0158903i | ||||
\(346\) | 4870.44 | + | 14989.7i | 0.756752 | + | 2.32904i | ||||
\(347\) | −10402.1 | + | 3379.85i | −1.60926 | + | 0.522881i | −0.969374 | − | 0.245588i | \(-0.921019\pi\) |
−0.639887 | + | 0.768469i | \(0.721019\pi\) | |||||||
\(348\) | 5667.84 | − | 7801.11i | 0.873069 | − | 1.20168i | ||||
\(349\) | −2825.77 | −0.433410 | −0.216705 | − | 0.976237i | \(-0.569531\pi\) | ||||
−0.216705 | + | 0.976237i | \(0.569531\pi\) | |||||||
\(350\) | −658.140 | − | 2061.07i | −0.100512 | − | 0.314768i | ||||
\(351\) | −21504.1 | −3.27009 | ||||||||
\(352\) | −1865.24 | + | 2567.28i | −0.282436 | + | 0.388740i | ||||
\(353\) | 1655.37 | − | 537.863i | 0.249593 | − | 0.0810978i | −0.181548 | − | 0.983382i | \(-0.558111\pi\) |
0.431142 | + | 0.902284i | \(0.358111\pi\) | |||||||
\(354\) | −1619.59 | − | 4984.60i | −0.243165 | − | 0.748385i | ||||
\(355\) | 5922.14 | + | 15.0214i | 0.885394 | + | 0.00224578i | ||||
\(356\) | 168.773 | − | 519.431i | 0.0251263 | − | 0.0773309i | ||||
\(357\) | 1573.46i | 0.233267i | ||||||||
\(358\) | 3690.67 | + | 1199.17i | 0.544855 | + | 0.177034i | ||||
\(359\) | 3465.00 | − | 2517.47i | 0.509403 | − | 0.370103i | −0.303194 | − | 0.952929i | \(-0.598053\pi\) |
0.812597 | + | 0.582826i | \(0.198053\pi\) | |||||||
\(360\) | 9.88803 | − | 3898.33i | 0.00144762 | − | 0.570722i | ||||
\(361\) | 5547.10 | + | 4030.20i | 0.808733 | + | 0.587579i | ||||
\(362\) | 7306.36 | + | 10056.3i | 1.06081 | + | 1.46008i | ||||
\(363\) | −6316.88 | − | 8694.44i | −0.913362 | − | 1.25713i | ||||
\(364\) | 1634.20 | + | 1187.32i | 0.235317 | + | 0.170968i | ||||
\(365\) | −2344.95 | − | 3244.83i | −0.336275 | − | 0.465320i | ||||
\(366\) | −6422.37 | + | 4666.13i | −0.917221 | + | 0.666400i | ||||
\(367\) | −2436.81 | − | 791.768i | −0.346596 | − | 0.112616i | 0.130546 | − | 0.991442i | \(-0.458327\pi\) |
−0.477141 | + | 0.878827i | \(0.658327\pi\) | |||||||
\(368\) | − | 121.800i | − | 0.0172534i | ||||||
\(369\) | 1863.95 | − | 5736.66i | 0.262963 | − | 0.809318i | ||||
\(370\) | 1847.60 | − | 5637.63i | 0.259600 | − | 0.792125i | ||||
\(371\) | 448.335 | + | 1379.83i | 0.0627396 | + | 0.193093i | ||||
\(372\) | 15635.3 | − | 5080.23i | 2.17918 | − | 0.708059i | ||||
\(373\) | 4827.71 | − | 6644.77i | 0.670159 | − | 0.922394i | −0.329605 | − | 0.944119i | \(-0.606916\pi\) |
0.999764 | + | 0.0217245i | \(0.00691567\pi\) | |||||||
\(374\) | 1901.39 | 0.262884 | ||||||||
\(375\) | 7767.03 | − | 10521.1i | 1.06957 | − | 1.44882i | ||||
\(376\) | 1035.79 | 0.142066 | ||||||||
\(377\) | 6392.86 | − | 8799.01i | 0.873339 | − | 1.20205i | ||||
\(378\) | 5169.94 | − | 1679.82i | 0.703474 | − | 0.228573i | ||||
\(379\) | −3809.61 | − | 11724.8i | −0.516324 | − | 1.58908i | −0.780860 | − | 0.624706i | \(-0.785219\pi\) |
0.264536 | − | 0.964376i | \(-0.414781\pi\) | |||||||
\(380\) | 35.0386 | − | 106.914i | 0.00473011 | − | 0.0144331i | ||||
\(381\) | −6769.01 | + | 20832.9i | −0.910202 | + | 2.80131i | ||||
\(382\) | − | 1316.81i | − | 0.176372i | ||||||
\(383\) | −10243.5 | − | 3328.32i | −1.36663 | − | 0.444044i | −0.468378 | − | 0.883528i | \(-0.655161\pi\) |
−0.898251 | + | 0.439484i | \(0.855161\pi\) | |||||||
\(384\) | −5479.16 | + | 3980.84i | −0.728144 | + | 0.529028i | ||||
\(385\) | 402.323 | + | 556.714i | 0.0532579 | + | 0.0736955i | ||||
\(386\) | −4316.99 | − | 3136.48i | −0.569247 | − | 0.413582i | ||||
\(387\) | −4830.27 | − | 6648.29i | −0.634461 | − | 0.873260i | ||||
\(388\) | −3415.88 | − | 4701.56i | −0.446946 | − | 0.615169i | ||||
\(389\) | 11921.6 | + | 8661.52i | 1.55385 | + | 1.12894i | 0.940835 | + | 0.338866i | \(0.110043\pi\) |
0.613014 | + | 0.790072i | \(0.289957\pi\) | |||||||
\(390\) | −69.1587 | + | 27265.6i | −0.00897945 | + | 3.54012i | ||||
\(391\) | −49.3626 | + | 35.8640i | −0.00638459 | + | 0.00463868i | ||||
\(392\) | −1764.88 | − | 573.444i | −0.227397 | − | 0.0738859i | ||||
\(393\) | 14234.9i | 1.82711i | ||||||||
\(394\) | −1696.12 | + | 5220.12i | −0.216876 | + | 0.667476i | ||||
\(395\) | 8817.97 | + | 22.3666i | 1.12324 | + | 0.00284908i | ||||
\(396\) | −1640.24 | − | 5048.14i | −0.208144 | − | 0.640602i | ||||
\(397\) | −7758.71 | + | 2520.96i | −0.980853 | + | 0.318699i | −0.755189 | − | 0.655507i | \(-0.772455\pi\) |
−0.225664 | + | 0.974205i | \(0.572455\pi\) | |||||||
\(398\) | 403.764 | − | 555.733i | 0.0508514 | − | 0.0699910i | ||||
\(399\) | −66.0075 | −0.00828197 | ||||||||
\(400\) | −9226.49 | − | 46.8059i | −1.15331 | − | 0.00585074i | ||||
\(401\) | 9316.46 | 1.16020 | 0.580102 | − | 0.814544i | \(-0.303013\pi\) | ||||
0.580102 | + | 0.814544i | \(0.303013\pi\) | |||||||
\(402\) | −18537.7 | + | 25514.9i | −2.29994 | + | 3.16560i | ||||
\(403\) | 17635.4 | − | 5730.09i | 2.17986 | − | 0.708278i | ||||
\(404\) | 1641.83 | + | 5053.02i | 0.202188 | + | 0.622270i | ||||
\(405\) | 11769.7 | + | 8596.87i | 1.44405 | + | 1.05477i | ||||
\(406\) | −849.606 | + | 2614.82i | −0.103855 | + | 0.319634i | ||||
\(407\) | 1883.43i | 0.229382i | ||||||||
\(408\) | 1894.57 | + | 615.584i | 0.229890 | + | 0.0746959i | ||||
\(409\) | −2665.27 | + | 1936.43i | −0.322223 | + | 0.234109i | −0.737124 | − | 0.675758i | \(-0.763816\pi\) |
0.414900 | + | 0.909867i | \(0.363816\pi\) | |||||||
\(410\) | −4027.59 | − | 1319.95i | −0.485143 | − | 0.158994i | ||||
\(411\) | −13108.9 | − | 9524.16i | −1.57327 | − | 1.14305i | ||||
\(412\) | −3586.02 | − | 4935.74i | −0.428812 | − | 0.590209i | ||||
\(413\) | 393.332 | + | 541.374i | 0.0468634 | + | 0.0645019i | ||||
\(414\) | 307.731 | + | 223.580i | 0.0365318 | + | 0.0265419i | ||||
\(415\) | 5931.07 | − | 8120.02i | 0.701553 | − | 0.960473i | ||||
\(416\) | 13011.6 | − | 9453.46i | 1.53352 | − | 1.11417i | ||||
\(417\) | 12463.2 | + | 4049.55i | 1.46361 | + | 0.475557i | ||||
\(418\) | 79.7644i | 0.00933350i | ||||||||
\(419\) | −1477.55 | + | 4547.42i | −0.172274 | + | 0.530205i | −0.999498 | − | 0.0316665i | \(-0.989919\pi\) |
0.827224 | + | 0.561872i | \(0.189919\pi\) | |||||||
\(420\) | −946.308 | − | 2937.77i | −0.109941 | − | 0.341306i | ||||
\(421\) | −3954.74 | − | 12171.4i | −0.457820 | − | 1.40902i | −0.867793 | − | 0.496926i | \(-0.834462\pi\) |
0.409973 | − | 0.912098i | \(-0.365538\pi\) | |||||||
\(422\) | −7847.90 | + | 2549.94i | −0.905284 | + | 0.294145i | ||||
\(423\) | −6404.32 | + | 8814.79i | −0.736144 | + | 1.01321i | ||||
\(424\) | 1836.83 | 0.210388 | ||||||||
\(425\) | 2697.77 | + | 3753.06i | 0.307909 | + | 0.428353i | ||||
\(426\) | 18866.0 | 2.14568 | ||||||||
\(427\) | 595.762 | − | 819.997i | 0.0675198 | − | 0.0929331i | ||||
\(428\) | −9019.29 | + | 2930.54i | −1.01861 | + | 0.330965i | ||||
\(429\) | −2674.85 | − | 8232.34i | −0.301032 | − | 0.926483i | ||||
\(430\) | −4680.10 | + | 3382.18i | −0.524870 | + | 0.379310i | ||||
\(431\) | −1927.52 | + | 5932.28i | −0.215418 | + | 0.662989i | 0.783706 | + | 0.621132i | \(0.213327\pi\) |
−0.999124 | + | 0.0418561i | \(0.986673\pi\) | |||||||
\(432\) | − | 23181.7i | − | 2.58178i | ||||||
\(433\) | −7246.14 | − | 2354.41i | −0.804220 | − | 0.261307i | −0.122072 | − | 0.992521i | \(-0.538954\pi\) |
−0.682148 | + | 0.731214i | \(0.738954\pi\) | |||||||
\(434\) | −3792.24 | + | 2755.22i | −0.419431 | + | 0.304735i | ||||
\(435\) | −15817.8 | + | 5095.19i | −1.74346 | + | 0.561600i | ||||
\(436\) | −1878.90 | − | 1365.10i | −0.206383 | − | 0.149946i | ||||
\(437\) | −1.50452 | − | 2.07079i | −0.000164693 | − | 0.000226680i | ||||
\(438\) | −7496.41 | − | 10317.9i | −0.817791 | − | 1.12559i | ||||
\(439\) | −3502.24 | − | 2544.52i | −0.380758 | − | 0.276637i | 0.380900 | − | 0.924616i | \(-0.375614\pi\) |
−0.761658 | + | 0.647980i | \(0.775614\pi\) | |||||||
\(440\) | 827.730 | − | 266.627i | 0.0896829 | − | 0.0288885i | ||||
\(441\) | 15792.4 | − | 11473.9i | 1.70526 | − | 1.23895i | ||||
\(442\) | −9165.03 | − | 2977.90i | −0.986281 | − | 0.320462i | ||||
\(443\) | 11381.7i | 1.22067i | 0.792142 | + | 0.610337i | \(0.208966\pi\) | ||||
−0.792142 | + | 0.610337i | \(0.791034\pi\) | |||||||
\(444\) | 2615.24 | − | 8048.88i | 0.279535 | − | 0.860322i | ||||
\(445\) | −762.890 | + | 551.321i | −0.0812685 | + | 0.0587306i | ||||
\(446\) | −2644.98 | − | 8140.42i | −0.280815 | − | 0.864260i | ||||
\(447\) | 29444.3 | − | 9567.03i | 3.11559 | − | 1.01232i | ||||
\(448\) | −811.354 | + | 1116.73i | −0.0855645 | + | 0.117769i | ||||
\(449\) | 1364.74 | 0.143443 | 0.0717216 | − | 0.997425i | \(-0.477151\pi\) | ||||
0.0717216 | + | 0.997425i | \(0.477151\pi\) | |||||||
\(450\) | 17054.7 | − | 23225.1i | 1.78659 | − | 2.43298i | ||||
\(451\) | 1345.55 | 0.140486 | ||||||||
\(452\) | 3306.83 | − | 4551.46i | 0.344116 | − | 0.473634i | ||||
\(453\) | −18203.3 | + | 5914.60i | −1.88800 | + | 0.613448i | ||||
\(454\) | −1248.89 | − | 3843.68i | −0.129104 | − | 0.397341i | ||||
\(455\) | −1067.36 | − | 3313.57i | −0.109975 | − | 0.341412i | ||||
\(456\) | −25.8241 | + | 79.4784i | −0.00265203 | + | 0.00816210i | ||||
\(457\) | − | 6981.47i | − | 0.714615i | −0.933987 | − | 0.357308i | \(-0.883695\pi\) | ||
0.933987 | − | 0.357308i | \(-0.116305\pi\) | |||||||
\(458\) | 9486.36 | + | 3082.31i | 0.967836 | + | 0.314469i | ||||
\(459\) | −9394.99 | + | 6825.86i | −0.955383 | + | 0.694126i | ||||
\(460\) | 70.5946 | − | 96.6486i | 0.00715541 | − | 0.00979623i | ||||
\(461\) | −3680.64 | − | 2674.14i | −0.371854 | − | 0.270168i | 0.386125 | − | 0.922446i | \(-0.373813\pi\) |
−0.757979 | + | 0.652279i | \(0.773813\pi\) | |||||||
\(462\) | 1286.16 | + | 1770.24i | 0.129518 | + | 0.178267i | ||||
\(463\) | 8763.10 | + | 12061.4i | 0.879602 | + | 1.21067i | 0.976531 | + | 0.215377i | \(0.0690980\pi\) |
−0.0969290 | + | 0.995291i | \(0.530902\pi\) | |||||||
\(464\) | 9485.47 | + | 6891.60i | 0.949034 | + | 0.689514i | ||||
\(465\) | −26923.6 | − | 8823.56i | −2.68506 | − | 0.879963i | ||||
\(466\) | −18903.9 | + | 13734.5i | −1.87920 | + | 1.36532i | ||||
\(467\) | −869.570 | − | 282.541i | −0.0861647 | − | 0.0279966i | 0.265617 | − | 0.964079i | \(-0.414424\pi\) |
−0.351782 | + | 0.936082i | \(0.614424\pi\) | |||||||
\(468\) | 26901.8i | 2.65713i | ||||||||
\(469\) | 1244.33 | − | 3829.66i | 0.122511 | − | 0.377051i | ||||
\(470\) | 6182.38 | + | 4515.77i | 0.606749 | + | 0.443185i | ||||
\(471\) | 6680.24 | + | 20559.7i | 0.653523 | + | 2.01134i | ||||
\(472\) | 805.742 | − | 261.802i | 0.0785748 | − | 0.0255305i | ||||
\(473\) | 1077.50 | − | 1483.05i | 0.104743 | − | 0.144167i | ||||
\(474\) | 28091.1 | 2.72209 | ||||||||
\(475\) | −157.443 | + | 113.173i | −0.0152084 | + | 0.0109321i | ||||
\(476\) | 1090.85 | 0.105040 | ||||||||
\(477\) | −11357.2 | + | 15631.9i | −1.09017 | + | 1.50049i | ||||
\(478\) | 4915.47 | − | 1597.13i | 0.470352 | − | 0.152827i | ||||
\(479\) | 657.165 | + | 2022.55i | 0.0626861 | + | 0.192928i | 0.977495 | − | 0.210959i | \(-0.0676588\pi\) |
−0.914809 | + | 0.403887i | \(0.867659\pi\) | |||||||
\(480\) | −24574.1 | − | 62.3317i | −2.33677 | − | 0.00592717i | ||||
\(481\) | 2949.78 | − | 9078.48i | 0.279622 | − | 0.860588i | ||||
\(482\) | − | 9407.45i | − | 0.889000i | ||||||
\(483\) | −66.7808 | − | 21.6984i | −0.00629116 | − | 0.00204412i | ||||
\(484\) | −6027.72 | + | 4379.39i | −0.566089 | + | 0.411288i | ||||
\(485\) | −25.4038 | + | 10015.4i | −0.00237841 | + | 0.937680i | ||||
\(486\) | 11452.1 | + | 8320.45i | 1.06889 | + | 0.776591i | ||||
\(487\) | 4438.11 | + | 6108.54i | 0.412957 | + | 0.568386i | 0.963937 | − | 0.266132i | \(-0.0857458\pi\) |
−0.550980 | + | 0.834519i | \(0.685746\pi\) | |||||||
\(488\) | −754.263 | − | 1038.15i | −0.0699670 | − | 0.0963013i | ||||
\(489\) | −13837.1 | − | 10053.3i | −1.27962 | − | 0.929701i | ||||
\(490\) | −8034.09 | − | 11117.2i | −0.740700 | − | 1.02494i | ||||
\(491\) | 4878.03 | − | 3544.10i | 0.448355 | − | 0.325749i | −0.340591 | − | 0.940212i | \(-0.610627\pi\) |
0.788946 | + | 0.614463i | \(0.210627\pi\) | |||||||
\(492\) | −5750.22 | − | 1868.36i | −0.526910 | − | 0.171204i | ||||
\(493\) | − | 5873.47i | − | 0.536567i | ||||||
\(494\) | 124.925 | − | 384.478i | 0.0113778 | − | 0.0350172i | ||||
\(495\) | −2848.84 | + | 8692.73i | −0.258678 | + | 0.789312i | ||||
\(496\) | 6177.12 | + | 19011.2i | 0.559195 | + | 1.72103i | ||||
\(497\) | −2290.88 | + | 744.352i | −0.206761 | + | 0.0671806i | ||||
\(498\) | 18828.7 | − | 25915.5i | 1.69424 | − | 2.33193i | ||||
\(499\) | −11459.3 | −1.02803 | −0.514015 | − | 0.857781i | \(-0.671842\pi\) | ||||
−0.514015 | + | 0.857781i | \(0.671842\pi\) | |||||||
\(500\) | −7294.12 | − | 5384.76i | −0.652406 | − | 0.481628i | ||||
\(501\) | 14167.1 | 1.26335 | ||||||||
\(502\) | 13022.2 | − | 17923.6i | 1.15779 | − | 1.59356i | ||||
\(503\) | −3983.21 | + | 1294.22i | −0.353087 | + | 0.114725i | −0.480190 | − | 0.877165i | \(-0.659432\pi\) |
0.127103 | + | 0.991890i | \(0.459432\pi\) | |||||||
\(504\) | 489.979 | + | 1508.00i | 0.0433044 | + | 0.133277i | ||||
\(505\) | 2851.59 | − | 8701.14i | 0.251276 | − | 0.766724i | ||||
\(506\) | −26.2206 | + | 80.6988i | −0.00230366 | + | 0.00708992i | ||||
\(507\) | 23312.2i | 2.04207i | ||||||||
\(508\) | 14443.1 | + | 4692.85i | 1.26144 | + | 0.409865i | ||||
\(509\) | −475.177 | + | 345.236i | −0.0413789 | + | 0.0300635i | −0.608282 | − | 0.793721i | \(-0.708141\pi\) |
0.566904 | + | 0.823784i | \(0.308141\pi\) | |||||||
\(510\) | 8624.48 | + | 11934.1i | 0.748820 | + | 1.03618i | ||||
\(511\) | 1317.37 | + | 957.128i | 0.114045 | + | 0.0828588i | ||||
\(512\) | 8192.67 | + | 11276.2i | 0.707165 | + | 0.973329i | ||||
\(513\) | −286.349 | − | 394.125i | −0.0246445 | − | 0.0339202i | ||||
\(514\) | −10496.8 | − | 7626.36i | −0.900766 | − | 0.654445i | ||||
\(515\) | −26.6691 | + | 10514.2i | −0.00228191 | + | 0.899636i | ||||
\(516\) | −6664.01 | + | 4841.69i | −0.568540 | + | 0.413069i | ||||
\(517\) | −2311.57 | − | 751.075i | −0.196640 | − | 0.0638922i | ||||
\(518\) | 2413.05i | 0.204678i | ||||||||
\(519\) | 11973.8 | − | 36851.6i | 1.01270 | − | 3.11677i | ||||
\(520\) | −4407.39 | − | 11.1793i | −0.371686 | − | 0.000942775i | ||||
\(521\) | −5184.62 | − | 15956.6i | −0.435974 | − | 1.34179i | −0.892086 | − | 0.451866i | \(-0.850758\pi\) |
0.456112 | − | 0.889922i | \(-0.349242\pi\) | |||||||
\(522\) | −34823.7 | + | 11314.9i | −2.91991 | + | 0.948735i | ||||
\(523\) | −4307.32 | + | 5928.52i | −0.360127 | + | 0.495672i | −0.950184 | − | 0.311690i | \(-0.899105\pi\) |
0.590057 | + | 0.807361i | \(0.299105\pi\) | |||||||
\(524\) | 9868.82 | 0.822751 | ||||||||
\(525\) | −1669.34 | + | 5050.38i | −0.138773 | + | 0.419841i | ||||
\(526\) | −11712.6 | −0.970900 | ||||||||
\(527\) | 5885.94 | − | 8101.30i | 0.486519 | − | 0.669636i | ||||
\(528\) | 8874.59 | − | 2883.53i | 0.731471 | − | 0.237669i | ||||
\(529\) | 3758.97 | + | 11568.9i | 0.308948 | + | 0.950844i | ||||
\(530\) | 10963.6 | + | 8008.11i | 0.898547 | + | 0.656321i | ||||
\(531\) | −2753.95 | + | 8475.78i | −0.225068 | + | 0.692688i | ||||
\(532\) | 45.7619i | 0.00372938i | ||||||||
\(533\) | −6485.78 | − | 2107.36i | −0.527074 | − | 0.171257i | ||||
\(534\) | −2425.85 | + | 1762.48i | −0.196585 | + | 0.142828i | ||||
\(535\) | 15530.9 | + | 5089.89i | 1.25507 | + | 0.411318i | ||||
\(536\) | −4124.40 | − | 2996.55i | −0.332364 | − | 0.241476i | ||||
\(537\) | −5607.66 | − | 7718.28i | −0.450630 | − | 0.620239i | ||||
\(538\) | 16213.1 | + | 22315.4i | 1.29925 | + | 1.78826i | ||||
\(539\) | 3522.87 | + | 2559.51i | 0.281522 | + | 0.204538i | ||||
\(540\) | 13436.0 | − | 18394.8i | 1.07073 | − | 1.46590i | ||||
\(541\) | −15024.3 | + | 10915.8i | −1.19398 | + | 0.867481i | −0.993680 | − | 0.112253i | \(-0.964193\pi\) |
−0.200305 | + | 0.979734i | \(0.564193\pi\) | |||||||
\(542\) | −4067.26 | − | 1321.53i | −0.322332 | − | 0.104732i | ||||
\(543\) | − | 30559.5i | − | 2.41516i | ||||||
\(544\) | 2683.94 | − | 8260.31i | 0.211531 | − | 0.651026i | ||||
\(545\) | 1227.18 | + | 3809.73i | 0.0964525 | + | 0.299433i | ||||
\(546\) | −3427.00 | − | 10547.2i | −0.268612 | − | 0.826703i | ||||
\(547\) | 22929.1 | − | 7450.13i | 1.79228 | − | 0.582348i | 0.792658 | − | 0.609667i | \(-0.208697\pi\) |
0.999627 | + | 0.0273186i | \(0.00869687\pi\) | |||||||
\(548\) | −6602.95 | + | 9088.18i | −0.514715 | + | 0.708445i | ||||
\(549\) | 13498.6 | 1.04937 | ||||||||
\(550\) | 6102.95 | + | 2017.26i | 0.473147 | + | 0.156393i | ||||
\(551\) | 246.395 | 0.0190504 | ||||||||
\(552\) | −52.2533 | + | 71.9205i | −0.00402907 | + | 0.00554554i | ||||
\(553\) | −3411.08 | + | 1108.33i | −0.262304 | + | 0.0852277i | ||||
\(554\) | 1162.51 | + | 3577.85i | 0.0891525 | + | 0.274383i | ||||
\(555\) | −11821.4 | + | 8543.03i | −0.904128 | + | 0.653390i | ||||
\(556\) | 2807.49 | − | 8640.57i | 0.214144 | − | 0.659068i | ||||
\(557\) | − | 20922.4i | − | 1.59158i | −0.605571 | − | 0.795791i | \(-0.707055\pi\) | ||
0.605571 | − | 0.795791i | \(-0.292945\pi\) | |||||||
\(558\) | −59371.4 | − | 19290.9i | −4.50428 | − | 1.46353i | ||||
\(559\) | −7516.46 | + | 5461.03i | −0.568717 | + | 0.413197i | ||||
\(560\) | 3572.08 | − | 1150.63i | 0.269550 | − | 0.0868267i | ||||
\(561\) | −3781.75 | − | 2747.60i | −0.284609 | − | 0.206780i | ||||
\(562\) | −11145.8 | − | 15340.8i | −0.836575 | − | 1.15145i | ||||
\(563\) | −8798.28 | − | 12109.8i | −0.658621 | − | 0.906514i | 0.340814 | − | 0.940131i | \(-0.389297\pi\) |
−0.999435 | + | 0.0336170i | \(0.989297\pi\) | |||||||
\(564\) | 8835.63 | + | 6419.46i | 0.659658 | + | 0.479270i | ||||
\(565\) | −9228.70 | + | 2972.73i | −0.687176 | + | 0.221352i | ||||
\(566\) | 12860.5 | − | 9343.72i | 0.955067 | − | 0.693897i | ||||
\(567\) | −5638.08 | − | 1831.92i | −0.417596 | − | 0.135685i | ||||
\(568\) | 3049.62i | 0.225280i | ||||||||
\(569\) | −4983.24 | + | 15336.8i | −0.367150 | + | 1.12997i | 0.581474 | + | 0.813565i | \(0.302476\pi\) |
−0.948624 | + | 0.316406i | \(0.897524\pi\) | |||||||
\(570\) | −500.643 | + | 361.802i | −0.0367888 | + | 0.0265863i | ||||
\(571\) | 6394.11 | + | 19679.0i | 0.468625 | + | 1.44228i | 0.854365 | + | 0.519673i | \(0.173946\pi\) |
−0.385740 | + | 0.922608i | \(0.626054\pi\) | |||||||
\(572\) | −5707.35 | + | 1854.43i | −0.417196 | + | 0.135555i | ||||
\(573\) | −1902.86 | + | 2619.06i | −0.138732 | + | 0.190948i | ||||
\(574\) | 1723.91 | 0.125356 | ||||||||
\(575\) | −196.490 | + | 62.7434i | −0.0142508 | + | 0.00455057i | ||||
\(576\) | −18383.4 | −1.32982 | ||||||||
\(577\) | −5635.91 | + | 7757.16i | −0.406631 | + | 0.559679i | −0.962393 | − | 0.271662i | \(-0.912427\pi\) |
0.555762 | + | 0.831342i | \(0.312427\pi\) | |||||||
\(578\) | 12835.4 | − | 4170.47i | 0.923670 | − | 0.300119i | ||||
\(579\) | 4053.87 | + | 12476.5i | 0.290973 | + | 0.895522i | ||||
\(580\) | 3532.42 | + | 10966.2i | 0.252889 | + | 0.785082i | ||||
\(581\) | −1263.86 | + | 3889.77i | −0.0902477 | + | 0.277754i | ||||
\(582\) | 31905.7i | 2.27239i | ||||||||
\(583\) | −4099.27 | − | 1331.93i | −0.291208 | − | 0.0946192i | ||||
\(584\) | 1667.86 | − | 1211.77i | 0.118179 | − | 0.0858619i | ||||
\(585\) | 27346.2 | − | 37438.7i | 1.93269 | − | 2.64599i | ||||
\(586\) | 13542.8 | + | 9839.41i | 0.954689 | + | 0.693622i | ||||
\(587\) | −183.186 | − | 252.133i | −0.0128805 | − | 0.0177285i | 0.802528 | − | 0.596614i | \(-0.203488\pi\) |
−0.815409 | + | 0.578886i | \(0.803488\pi\) | |||||||
\(588\) | −11501.0 | − | 15829.8i | −0.806622 | − | 1.11022i | ||||
\(589\) | 339.854 | + | 246.919i | 0.0237750 | + | 0.0172735i | ||||
\(590\) | 5950.68 | + | 1950.19i | 0.415230 | + | 0.136082i | ||||
\(591\) | 10916.8 | − | 7931.52i | 0.759826 | − | 0.552046i | ||||
\(592\) | 9786.74 | + | 3179.90i | 0.679447 | + | 0.220766i | ||||
\(593\) | 17122.1i | 1.18570i | 0.805312 | + | 0.592852i | \(0.201998\pi\) | ||||
−0.805312 | + | 0.592852i | \(0.798002\pi\) | |||||||
\(594\) | −4990.47 | + | 15359.1i | −0.344716 | + | 1.06093i | ||||
\(595\) | −1518.12 | − | 1108.87i | −0.104600 | − | 0.0764023i | ||||
\(596\) | −6632.67 | − | 20413.3i | −0.455847 | − | 1.40295i | ||||
\(597\) | −1606.12 | + | 521.861i | −0.110108 | + | 0.0357762i | ||||
\(598\) | 252.776 | − | 347.917i | 0.0172856 | − | 0.0237916i | ||||
\(599\) | −3330.47 | −0.227178 | −0.113589 | − | 0.993528i | \(-0.536235\pi\) | ||||
−0.113589 | + | 0.993528i | \(0.536235\pi\) | |||||||
\(600\) | 5427.98 | + | 3985.88i | 0.369327 | + | 0.271205i | ||||
\(601\) | −24046.3 | −1.63206 | −0.816031 | − | 0.578008i | \(-0.803830\pi\) | ||||
−0.816031 | + | 0.578008i | \(0.803830\pi\) | |||||||
\(602\) | 1380.49 | − | 1900.08i | 0.0934628 | − | 0.128640i | ||||
\(603\) | 51002.7 | − | 16571.8i | 3.44443 | − | 1.11916i | ||||
\(604\) | 4100.50 | + | 12620.0i | 0.276236 | + | 0.850168i | ||||
\(605\) | 12840.4 | + | 32.5694i | 0.862870 | + | 0.00218865i | ||||
\(606\) | 9013.86 | − | 27741.8i | 0.604230 | − | 1.85963i | ||||
\(607\) | 4926.48i | 0.329423i | 0.986342 | + | 0.164711i | \(0.0526692\pi\) | ||||
−0.986342 | + | 0.164711i | \(0.947331\pi\) | |||||||
\(608\) | 346.525 | + | 112.593i | 0.0231142 | + | 0.00751026i | ||||
\(609\) | 5468.36 | − | 3972.99i | 0.363857 | − | 0.264358i | ||||
\(610\) | 24.0582 | − | 9484.89i | 0.00159687 | − | 0.629561i | ||||
\(611\) | 9965.87 | + | 7240.63i | 0.659863 | + | 0.479418i | ||||
\(612\) | 8539.22 | + | 11753.2i | 0.564015 | + | 0.776301i | ||||
\(613\) | −3091.89 | − | 4255.63i | −0.203720 | − | 0.280397i | 0.694917 | − | 0.719090i | \(-0.255441\pi\) |
−0.898637 | + | 0.438694i | \(0.855441\pi\) | |||||||
\(614\) | −23165.3 | − | 16830.5i | −1.52260 | − | 1.10623i | ||||
\(615\) | 6103.25 | + | 8445.37i | 0.400174 | + | 0.553740i | ||||
\(616\) | −286.154 | + | 207.903i | −0.0187167 | + | 0.0135985i | ||||
\(617\) | −2343.34 | − | 761.398i | −0.152900 | − | 0.0496803i | 0.231567 | − | 0.972819i | \(-0.425615\pi\) |
−0.384467 | + | 0.923139i | \(0.625615\pi\) | |||||||
\(618\) | 33494.9i | 2.18020i | ||||||||
\(619\) | −7700.18 | + | 23698.7i | −0.499994 | + | 1.53882i | 0.309033 | + | 0.951051i | \(0.399995\pi\) |
−0.809027 | + | 0.587772i | \(0.800005\pi\) | |||||||
\(620\) | −6117.24 | + | 18665.7i | −0.396249 | + | 1.20908i | ||||
\(621\) | −160.144 | − | 492.873i | −0.0103484 | − | 0.0318491i | ||||
\(622\) | 7346.73 | − | 2387.10i | 0.473597 | − | 0.153881i | ||||
\(623\) | 225.030 | − | 309.727i | 0.0144713 | − | 0.0199181i | ||||
\(624\) | −47293.2 | −3.03404 | ||||||||
\(625\) | 4677.37 | + | 14908.5i | 0.299352 | + | 0.954143i | ||||
\(626\) | −34415.5 | −2.19731 | ||||||||
\(627\) | 115.263 | − | 158.647i | 0.00734159 | − | 0.0101048i | ||||
\(628\) | 14253.7 | − | 4631.30i | 0.905707 | − | 0.294282i | ||||
\(629\) | −1592.97 | − | 4902.65i | −0.100979 | − | 0.310781i | ||||
\(630\) | −3649.92 | + | 11137.1i | −0.230819 | + | 0.704305i | ||||
\(631\) | 2274.53 | − | 7000.28i | 0.143498 | − | 0.441643i | −0.853316 | − | 0.521394i | \(-0.825412\pi\) |
0.996815 | + | 0.0797506i | \(0.0254124\pi\) | |||||||
\(632\) | 4540.84i | 0.285799i | ||||||||
\(633\) | 19293.8 | + | 6268.93i | 1.21147 | + | 0.393630i | ||||
\(634\) | 19296.4 | − | 14019.7i | 1.20877 | − | 0.878221i | ||||
\(635\) | −15329.8 | − | 21212.6i | −0.958025 | − | 1.32567i | ||||
\(636\) | 15668.8 | + | 11384.1i | 0.976901 | + | 0.709760i | ||||
\(637\) | −12972.2 | − | 17854.7i | −0.806872 | − | 1.11056i | ||||
\(638\) | −4801.02 | − | 6608.04i | −0.297922 | − | 0.410054i | ||||
\(639\) | −25953.0 | − | 18855.9i | −1.60670 | − | 1.16734i | ||||
\(640\) | 20.5250 | − | 8091.91i | 0.00126769 | − | 0.499783i | ||||
\(641\) | −1818.04 | + | 1320.88i | −0.112025 | + | 0.0813910i | −0.642387 | − | 0.766380i | \(-0.722056\pi\) |
0.530362 | + | 0.847771i | \(0.322056\pi\) | |||||||
\(642\) | 49517.2 | + | 16089.1i | 3.04406 | + | 0.989076i | ||||
\(643\) | − | 9835.59i | − | 0.603231i | −0.953430 | − | 0.301616i | \(-0.902474\pi\) | ||
0.953430 | − | 0.301616i | \(-0.0975259\pi\) | |||||||
\(644\) | −15.0431 | + | 46.2981i | −0.000920471 | + | 0.00283292i | ||||
\(645\) | 14195.9 | + | 36.0075i | 0.866606 | + | 0.00219813i | ||||
\(646\) | −67.4631 | − | 207.630i | −0.00410882 | − | 0.0126457i | ||||
\(647\) | −3444.98 | + | 1119.34i | −0.209329 | + | 0.0680152i | −0.411805 | − | 0.911272i | \(-0.635101\pi\) |
0.202475 | + | 0.979287i | \(0.435101\pi\) | |||||||
\(648\) | −4411.57 | + | 6072.01i | −0.267443 | + | 0.368104i | ||||
\(649\) | −1988.02 | −0.120241 | ||||||||
\(650\) | −26257.9 | − | 19281.8i | −1.58449 | − | 1.16353i | ||||
\(651\) | 11524.0 | 0.693793 | ||||||||
\(652\) | −6969.76 | + | 9593.05i | −0.418646 | + | 0.576216i | ||||
\(653\) | 7770.32 | − | 2524.73i | 0.465660 | − | 0.151302i | −0.0667838 | − | 0.997767i | \(-0.521274\pi\) |
0.532444 | + | 0.846465i | \(0.321274\pi\) | |||||||
\(654\) | 3940.15 | + | 12126.5i | 0.235584 | + | 0.725053i | ||||
\(655\) | −13734.3 | − | 10031.8i | −0.819300 | − | 0.598437i | ||||
\(656\) | 2271.76 | − | 6991.77i | 0.135210 | − | 0.416132i | ||||
\(657\) | 21686.2i | 1.28776i | ||||||||
\(658\) | −2961.58 | − | 962.274i | −0.175462 | − | 0.0570112i | ||||
\(659\) | 11651.6 | − | 8465.38i | 0.688743 | − | 0.500401i | −0.187503 | − | 0.982264i | \(-0.560040\pi\) |
0.876247 | + | 0.481863i | \(0.160040\pi\) | |||||||
\(660\) | 8713.29 | + | 2855.57i | 0.513885 | + | 0.168414i | ||||
\(661\) | −6900.20 | − | 5013.29i | −0.406032 | − | 0.294999i | 0.365962 | − | 0.930630i | \(-0.380740\pi\) |
−0.771993 | + | 0.635631i | \(0.780740\pi\) | |||||||
\(662\) | 23550.3 | + | 32414.2i | 1.38264 | + | 1.90304i | ||||
\(663\) | 13925.5 | + | 19166.8i | 0.815718 | + | 1.12274i | ||||
\(664\) | 4189.14 | + | 3043.59i | 0.244835 | + | 0.177883i | ||||
\(665\) | 46.5179 | − | 63.6860i | 0.00271261 | − | 0.00371374i | ||||
\(666\) | −25999.0 | + | 18889.4i | −1.51267 | + | 1.09902i | ||||
\(667\) | 249.282 | + | 80.9966i | 0.0144711 | + | 0.00470195i | ||||
\(668\) | − | 9821.79i | − | 0.568887i | ||||||
\(669\) | −6502.60 | + | 20012.9i | −0.375792 | + | 1.15657i | ||||
\(670\) | −11553.4 | − | 35867.0i | −0.666190 | − | 2.06816i | ||||
\(671\) | 930.500 | + | 2863.79i | 0.0535344 | + | 0.164762i | ||||
\(672\) | 9506.07 | − | 3088.71i | 0.545692 | − | 0.177306i | ||||
\(673\) | 5322.13 | − | 7325.28i | 0.304834 | − | 0.419567i | −0.628928 | − | 0.777464i | \(-0.716506\pi\) |
0.933761 | + | 0.357896i | \(0.116506\pi\) | |||||||
\(674\) | −14989.4 | −0.856634 | ||||||||
\(675\) | −37397.2 | + | 11941.7i | −2.13247 | + | 0.680943i | ||||
\(676\) | 16162.0 | 0.919548 | ||||||||
\(677\) | 772.758 | − | 1063.61i | 0.0438693 | − | 0.0603809i | −0.786519 | − | 0.617566i | \(-0.788119\pi\) |
0.830388 | + | 0.557185i | \(0.188119\pi\) | |||||||
\(678\) | −29375.4 | + | 9544.64i | −1.66394 | + | 0.540649i | ||||
\(679\) | −1258.83 | − | 3874.28i | −0.0711479 | − | 0.218971i | ||||
\(680\) | −1929.11 | + | 1394.12i | −0.108791 | + | 0.0786205i | ||||
\(681\) | −3070.34 | + | 9449.54i | −0.172769 | + | 0.531729i | ||||
\(682\) | − | 13925.7i | − | 0.781881i | ||||||
\(683\) | −27438.1 | − | 8915.17i | −1.53717 | − | 0.499458i | −0.586578 | − | 0.809893i | \(-0.699525\pi\) |
−0.950595 | + | 0.310435i | \(0.899525\pi\) | |||||||
\(684\) | −493.055 | + | 358.225i | −0.0275620 | + | 0.0200250i | ||||
\(685\) | 18427.5 | − | 5935.83i | 1.02785 | − | 0.331089i | ||||
\(686\) | 9316.54 | + | 6768.86i | 0.518523 | + | 0.376729i | ||||
\(687\) | −14413.7 | − | 19838.8i | −0.800463 | − | 1.10174i | ||||
\(688\) | −5887.07 | − | 8102.86i | −0.326225 | − | 0.449010i | ||||
\(689\) | 17673.2 | + | 12840.3i | 0.977204 | + | 0.709980i | ||||
\(690\) | −625.442 | + | 201.466i | −0.0345075 | + | 0.0111155i | ||||
\(691\) | 9161.32 | − | 6656.09i | 0.504360 | − | 0.366439i | −0.306320 | − | 0.951929i | \(-0.599098\pi\) |
0.810680 | + | 0.585489i | \(0.199098\pi\) | |||||||
\(692\) | −25548.6 | − | 8301.24i | −1.40349 | − | 0.456020i | ||||
\(693\) | − | 3720.71i | − | 0.203951i | ||||||
\(694\) | 12864.5 | − | 39592.8i | 0.703644 | − | 2.16559i | ||||
\(695\) | −12690.4 | + | 9171.05i | −0.692627 | + | 0.500543i | ||||
\(696\) | −2644.42 | − | 8138.70i | −0.144018 | − | 0.443242i | ||||
\(697\) | −3502.52 | + | 1138.04i | −0.190340 | + | 0.0618454i | ||||
\(698\) | 6321.95 | − | 8701.42i | 0.342821 | − | 0.471853i | ||||
\(699\) | 57445.8 | 3.10844 | ||||||||
\(700\) | 3501.35 | + | 1157.33i | 0.189055 | + | 0.0624898i | ||||
\(701\) | 10002.6 | 0.538934 | 0.269467 | − | 0.963010i | \(-0.413152\pi\) | ||||
0.269467 | + | 0.963010i | \(0.413152\pi\) | |||||||
\(702\) | 48109.9 | − | 66217.6i | 2.58660 | − | 3.56015i | ||||
\(703\) | 205.669 | − | 66.8259i | 0.0110341 | − | 0.00358519i | ||||
\(704\) | −1267.23 | − | 3900.12i | −0.0678414 | − | 0.208794i | ||||
\(705\) | −5770.88 | − | 17915.4i | −0.308289 | − | 0.957070i | ||||
\(706\) | −2047.23 | + | 6300.72i | −0.109134 | + | 0.335879i | ||||
\(707\) | 3724.30i | 0.198114i | ||||||||
\(708\) | 8495.82 | + | 2760.46i | 0.450978 | + | 0.146532i | ||||
\(709\) | −5513.27 | + | 4005.63i | −0.292038 | + | 0.212178i | −0.724151 | − | 0.689641i | \(-0.757768\pi\) |
0.432113 | + | 0.901820i | \(0.357768\pi\) | |||||||
\(710\) | −13295.6 | + | 18202.5i | −0.702779 | + | 0.962151i | ||||
\(711\) | −38643.5 | − | 28076.2i | −2.03832 | − | 1.48093i | ||||
\(712\) | −284.899 | − | 392.129i | −0.0149958 | − | 0.0206400i | ||||
\(713\) | 262.667 | + | 361.530i | 0.0137966 | + | 0.0189894i | ||||
\(714\) | −4845.16 | − | 3520.21i | −0.253957 | − | 0.184511i | ||||
\(715\) | 9827.88 | + | 3220.85i | 0.514044 | + | 0.168466i | ||||
\(716\) | −5350.96 | + | 3887.70i | −0.279295 | + | 0.202919i | ||||
\(717\) | −12084.5 | − | 3926.49i | −0.629434 | − | 0.204515i | ||||
\(718\) | 16302.0i | 0.847332i | ||||||||
\(719\) | 1873.76 | − | 5766.85i | 0.0971900 | − | 0.299120i | −0.890628 | − | 0.454732i | \(-0.849735\pi\) |
0.987818 | + | 0.155612i | \(0.0497350\pi\) | |||||||
\(720\) | 40359.5 | + | 29479.6i | 2.08904 | + | 1.52589i | ||||
\(721\) | −1321.53 | − | 4067.25i | −0.0682612 | − | 0.210087i | ||||
\(722\) | −24820.5 | + | 8064.66i | −1.27939 | + | 0.415700i | ||||
\(723\) | −13594.2 | + | 18710.9i | −0.699274 | + | 0.962468i | ||||
\(724\) | −21186.4 | −1.08755 | ||||||||
\(725\) | 6231.38 | − | 18852.3i | 0.319211 | − | 0.965732i | ||||
\(726\) | 40905.3 | 2.09110 | ||||||||
\(727\) | −18958.7 | + | 26094.4i | −0.967179 | + | 1.33121i | −0.0237200 | + | 0.999719i | \(0.507551\pi\) |
−0.943459 | + | 0.331489i | \(0.892449\pi\) | |||||||
\(728\) | 1704.92 | − | 553.963i | 0.0867976 | − | 0.0282023i | ||||
\(729\) | 122.673 | + | 377.549i | 0.00623244 | + | 0.0191815i | ||||
\(730\) | 15238.0 | + | 38.6510i | 0.772583 | + | 0.00195964i | ||||
\(731\) | −1550.44 | + | 4771.78i | −0.0784477 | + | 0.241437i | ||||
\(732\) | − | 13530.5i | − | 0.683198i | ||||||
\(733\) | −6353.12 | − | 2064.25i | −0.320134 | − | 0.104018i | 0.144542 | − | 0.989499i | \(-0.453829\pi\) |
−0.464676 | + | 0.885481i | \(0.653829\pi\) | |||||||
\(734\) | 7889.85 | − | 5732.31i | 0.396757 | − | 0.288261i | ||||
\(735\) | −85.5327 | + | 33721.0i | −0.00429241 | + | 1.69227i | ||||
\(736\) | 313.572 | + | 227.824i | 0.0157044 | + | 0.0114099i | ||||
\(737\) | 7031.57 | + | 9678.12i | 0.351440 | + | 0.483715i | ||||
\(738\) | 13494.8 | + | 18574.0i | 0.673103 | + | 0.926447i | ||||
\(739\) | −6279.12 | − | 4562.05i | −0.312559 | − | 0.227088i | 0.420435 | − | 0.907323i | \(-0.361878\pi\) |
−0.732994 | + | 0.680235i | \(0.761878\pi\) | |||||||
\(740\) | 5922.75 | + | 8195.60i | 0.294222 | + | 0.407130i | ||||
\(741\) | −804.058 | + | 584.182i | −0.0398621 | + | 0.0289615i | ||||
\(742\) | −5251.96 | − | 1706.47i | −0.259846 | − | 0.0844290i | ||||
\(743\) | 5076.22i | 0.250644i | 0.992116 | + | 0.125322i | \(0.0399964\pi\) | ||||
−0.992116 | + | 0.125322i | \(0.960004\pi\) | |||||||
\(744\) | 4508.52 | − | 13875.8i | 0.222164 | − | 0.683752i | ||||
\(745\) | −11519.9 | + | 35151.0i | −0.566519 | + | 1.72863i | ||||
\(746\) | 9660.50 | + | 29732.0i | 0.474124 | + | 1.45920i | ||||
\(747\) | −51803.3 | + | 16831.9i | −2.53733 | + | 0.824427i | ||||
\(748\) | −1904.87 | + | 2621.83i | −0.0931135 | + | 0.128160i | ||||
\(749\) | −6647.62 | −0.324297 | ||||||||
\(750\) | 15020.9 | + | 47455.4i | 0.731316 | + | 2.31043i | ||||
\(751\) | 13122.4 | 0.637607 | 0.318804 | − | 0.947821i | \(-0.396719\pi\) | ||||
0.318804 | + | 0.947821i | \(0.396719\pi\) | |||||||
\(752\) | −7805.51 | + | 10743.4i | −0.378508 | + | 0.520971i | ||||
\(753\) | −51800.8 | + | 16831.1i | −2.50694 | + | 0.814555i | ||||
\(754\) | 12792.5 | + | 39371.1i | 0.617870 | + | 1.90161i | ||||
\(755\) | 7121.91 | − | 21731.3i | 0.343302 | − | 1.04753i | ||||
\(756\) | −2863.10 | + | 8811.73i | −0.137738 | + | 0.423915i | ||||
\(757\) | 1050.93i | 0.0504578i | 0.999682 | + | 0.0252289i | \(0.00803146\pi\) | ||||
−0.999682 | + | 0.0252289i | \(0.991969\pi\) | |||||||
\(758\) | 44627.3 | + | 14500.3i | 2.13844 | + | 0.694820i | ||||
\(759\) | 168.765 | − | 122.615i | 0.00807086 | − | 0.00586382i | ||||
\(760\) | −58.4840 | − | 80.9272i | −0.00279137 | − | 0.00386255i | ||||
\(761\) | 16194.4 | + | 11765.9i | 0.771414 | + | 0.560465i | 0.902390 | − | 0.430920i | \(-0.141811\pi\) |
−0.130976 | + | 0.991386i | \(0.541811\pi\) | |||||||
\(762\) | −49006.9 | − | 67452.2i | −2.32983 | − | 3.20674i | ||||
\(763\) | −956.898 | − | 1317.06i | −0.0454024 | − | 0.0624910i | ||||
\(764\) | 1815.76 | + | 1319.22i | 0.0859839 | + | 0.0624710i | ||||
\(765\) | 63.5059 | − | 25037.0i | 0.00300139 | − | 1.18329i | ||||
\(766\) | 33166.2 | − | 24096.6i | 1.56441 | − | 1.13661i | ||||
\(767\) | 9582.59 | + | 3113.57i | 0.451118 | + | 0.146577i | ||||
\(768\) | − | 48501.4i | − | 2.27883i | ||||||
\(769\) | −8811.20 | + | 27118.1i | −0.413186 | + | 1.27166i | 0.500677 | + | 0.865634i | \(0.333084\pi\) |
−0.913863 | + | 0.406022i | \(0.866916\pi\) | |||||||
\(770\) | −2614.39 | − | 6.63135i | −0.122358 | − | 0.000310360i | ||||
\(771\) | 9857.01 | + | 30336.8i | 0.460430 | + | 1.41706i | ||||
\(772\) | 8649.78 | − | 2810.49i | 0.403255 | − | 0.131025i | ||||
\(773\) | 16706.1 | − | 22994.0i | 0.777333 | − | 1.06991i | −0.218239 | − | 0.975895i | \(-0.570031\pi\) |
0.995571 | − | 0.0940111i | \(-0.0299689\pi\) | |||||||
\(774\) | 31278.6 | 1.45257 | ||||||||
\(775\) | 27487.3 | − | 19758.4i | 1.27403 | − | 0.915797i | ||||
\(776\) | −5157.44 | −0.238584 | ||||||||
\(777\) | 3486.97 | − | 4799.40i | 0.160997 | − | 0.221593i | ||||
\(778\) | −53343.0 | + | 17332.2i | −2.45815 | + | 0.798700i | ||||
\(779\) | −47.7413 | − | 146.933i | −0.00219578 | − | 0.00675790i | ||||
\(780\) | −37527.3 | − | 27410.8i | −1.72268 | − | 1.25829i | ||||
\(781\) | 2211.35 | − | 6805.85i | 0.101317 | − | 0.311821i | ||||
\(782\) | − | 232.239i | − | 0.0106200i | ||||||
\(783\) | 47444.8 | + | 15415.8i | 2.16544 | + | 0.703595i | ||||
\(784\) | 19247.6 | − | 13984.2i | 0.876806 | − | 0.637037i | ||||
\(785\) | −24544.4 | − | 8043.84i | −1.11596 | − | 0.365729i | ||||
\(786\) | −43833.6 | − | 31846.9i | −1.98917 | − | 1.44522i | ||||
\(787\) | 9361.97 | + | 12885.6i | 0.424038 | + | 0.583638i | 0.966572 | − | 0.256396i | \(-0.0825350\pi\) |
−0.542534 | + | 0.840034i | \(0.682535\pi\) | |||||||
\(788\) | −5498.80 | − | 7568.44i | −0.248587 | − | 0.342151i | ||||
\(789\) | 23295.6 | + | 16925.3i | 1.05114 | + | 0.763696i | ||||
\(790\) | −19796.9 | + | 27103.2i | −0.891570 | + | 1.22062i | ||||
\(791\) | 3190.45 | − | 2317.99i | 0.143412 | − | 0.104195i | ||||
\(792\) | −4480.03 | − | 1455.65i | −0.200999 | − | 0.0653085i | ||||
\(793\) | − | 15261.3i | − | 0.683409i | ||||||
\(794\) | 9595.35 | − | 29531.5i | 0.428875 | − | 1.31994i | ||||
\(795\) | −10233.9 | − | 31770.6i | −0.456552 | − | 1.41734i | ||||
\(796\) | 361.798 | + | 1113.50i | 0.0161100 | + | 0.0495816i | ||||
\(797\) | 30886.1 | − | 10035.5i | 1.37270 | − | 0.446018i | 0.472438 | − | 0.881364i | \(-0.343374\pi\) |
0.900263 | + | 0.435346i | \(0.143374\pi\) | |||||||
\(798\) | 147.675 | − | 203.257i | 0.00655093 | − | 0.00901658i | ||||
\(799\) | 6652.36 | 0.294548 | ||||||||
\(800\) | 17378.4 | − | 23665.9i | 0.768024 | − | 1.04590i | ||||
\(801\) | 5098.65 | 0.224909 | ||||||||
\(802\) | −20843.2 | + | 28688.2i | −0.917705 | + | 1.26311i | ||||
\(803\) | −4600.84 | + | 1494.90i | −0.202192 | + | 0.0656962i | ||||
\(804\) | −16611.0 | − | 51123.3i | −0.728636 | − | 2.24251i | ||||
\(805\) | 67.9981 | − | 49.1405i | 0.00297717 | − | 0.00215152i | ||||
\(806\) | −21810.0 | + | 67124.4i | −0.953134 | + | 2.93344i | ||||
\(807\) | − | 67812.7i | − | 2.95802i | ||||||
\(808\) | 4484.37 | + | 1457.06i | 0.195247 | + | 0.0634396i | ||||
\(809\) | 13221.5 | − | 9605.98i | 0.574590 | − | 0.417464i | −0.262180 | − | 0.965019i | \(-0.584441\pi\) |
0.836770 | + | 0.547555i | \(0.184441\pi\) | |||||||
\(810\) | −52804.0 | + | 17009.1i | −2.29055 | + | 0.737827i | ||||
\(811\) | 22556.4 | + | 16388.2i | 0.976649 | + | 0.709577i | 0.956957 | − | 0.290229i | \(-0.0937314\pi\) |
0.0196920 | + | 0.999806i | \(0.493731\pi\) | |||||||
\(812\) | −2754.41 | − | 3791.12i | −0.119041 | − | 0.163845i | ||||
\(813\) | 6179.86 | + | 8505.85i | 0.266589 | + | 0.366929i | ||||
\(814\) | −5799.66 | − | 4213.70i | −0.249727 | − | 0.181438i | ||||
\(815\) | 19451.2 | − | 6265.58i | 0.836007 | − | 0.269293i | ||||
\(816\) | −20662.1 | + | 15011.9i | −0.886418 | + | 0.644021i | ||||
\(817\) | −200.179 | − | 65.0421i | −0.00857206 | − | 0.00278523i | ||||
\(818\) | − | 12539.5i | − | 0.535981i | ||||||
\(819\) | −5827.26 | + | 17934.5i | −0.248621 | + | 0.765178i | ||||
\(820\) | 5855.04 | − | 4231.29i | 0.249350 | − | 0.180199i | ||||
\(821\) | −5333.37 | − | 16414.4i | −0.226719 | − | 0.697768i | −0.998113 | − | 0.0614103i | \(-0.980440\pi\) |
0.771394 | − | 0.636358i | \(-0.219560\pi\) | |||||||
\(822\) | 58655.6 | − | 19058.4i | 2.48887 | − | 0.808682i | ||||
\(823\) | −8240.74 | + | 11342.4i | −0.349033 | + | 0.480403i | −0.947052 | − | 0.321079i | \(-0.895955\pi\) |
0.598019 | + | 0.801482i | \(0.295955\pi\) | |||||||
\(824\) | −5414.33 | −0.228904 | ||||||||
\(825\) | −9223.37 | − | 12831.3i | −0.389232 | − | 0.541488i | ||||
\(826\) | −2547.04 | −0.107291 | ||||||||
\(827\) | −2417.01 | + | 3326.73i | −0.101630 | + | 0.139881i | −0.856803 | − | 0.515644i | \(-0.827553\pi\) |
0.755173 | + | 0.655525i | \(0.227553\pi\) | |||||||
\(828\) | −616.589 | + | 200.342i | −0.0258792 | + | 0.00840865i | ||||
\(829\) | −6945.37 | − | 21375.6i | −0.290980 | − | 0.895545i | −0.984542 | − | 0.175148i | \(-0.943960\pi\) |
0.693562 | − | 0.720397i | \(-0.256040\pi\) | |||||||
\(830\) | 11734.8 | + | 36430.1i | 0.490747 | + | 1.52350i | ||||
\(831\) | 2858.00 | − | 8796.02i | 0.119306 | − | 0.367185i | ||||
\(832\) | 20784.0i | 0.866051i | ||||||||
\(833\) | −11334.9 | − | 3682.95i | −0.471468 | − | 0.153189i | ||||
\(834\) | −40353.1 | + | 29318.3i | −1.67544 | + | 1.21728i | ||||
\(835\) | −9984.04 | + | 13668.8i | −0.413787 | + | 0.566501i | ||||
\(836\) | −109.987 | − | 79.9103i | −0.00455022 | − | 0.00330593i | ||||
\(837\) | 49992.4 | + | 68808.6i | 2.06450 | + | 2.84155i | ||||
\(838\) | −10697.3 | − | 14723.5i | −0.440967 | − | 0.606940i | ||||
\(839\) | −35978.0 | − | 26139.6i | −1.48045 | − | 1.07561i | −0.977411 | − | 0.211349i | \(-0.932214\pi\) |
−0.503041 | − | 0.864263i | \(-0.667786\pi\) | |||||||
\(840\) | −2602.87 | − | 853.029i | −0.106914 | − | 0.0350384i | ||||
\(841\) | −681.377 | + | 495.050i | −0.0279379 | + | 0.0202981i | ||||
\(842\) | 46327.3 | + | 15052.6i | 1.89613 | + | 0.616091i | ||||
\(843\) | 46618.1i | 1.90464i | ||||||||
\(844\) | 4346.15 | − | 13376.1i | 0.177252 | − | 0.545525i | ||||
\(845\) | −22492.3 | − | 16429.0i | −0.915691 | − | 0.668844i | ||||
\(846\) | −12815.4 | − | 39441.7i | −0.520806 | − | 1.60288i | ||||
\(847\) | −4967.09 | + | 1613.91i | −0.201501 | + | 0.0654716i | ||||
\(848\) | −13842.0 | + | 19051.9i | −0.560539 | + | 0.771516i | ||||
\(849\) | −39080.9 | −1.57980 | ||||||||
\(850\) | −17592.4 | − | 89.2461i | −0.709899 | − | 0.00360131i | ||||
\(851\) | 230.046 | 0.00926660 | ||||||||
\(852\) | −18900.5 | + | 26014.3i | −0.760001 | + | 1.04605i | ||||
\(853\) | 21281.6 | − | 6914.82i | 0.854243 | − | 0.277560i | 0.151021 | − | 0.988531i | \(-0.451744\pi\) |
0.703222 | + | 0.710970i | \(0.251744\pi\) | |||||||
\(854\) | 1192.15 | + | 3669.07i | 0.0477689 | + | 0.147018i | ||||
\(855\) | 1050.32 | + | 2.66411i | 0.0420118 | + | 0.000106562i | ||||
\(856\) | −2600.75 | + | 8004.28i | −0.103846 | + | 0.319604i | ||||
\(857\) | − | 3861.39i | − | 0.153912i | −0.997034 | − | 0.0769561i | \(-0.975480\pi\) | ||
0.997034 | − | 0.0769561i | \(-0.0245201\pi\) | |||||||
\(858\) | 31334.2 | + | 10181.1i | 1.24677 | + | 0.405101i | ||||
\(859\) | −8636.63 | + | 6274.88i | −0.343048 | + | 0.249239i | −0.745947 | − | 0.666006i | \(-0.768003\pi\) |
0.402899 | + | 0.915245i | \(0.368003\pi\) | |||||||
\(860\) | 24.9634 | − | 9841.76i | 0.000989821 | − | 0.390234i | ||||
\(861\) | −3428.75 | − | 2491.13i | −0.135716 | − | 0.0986035i | ||||
\(862\) | −13955.0 | − | 19207.4i | −0.551402 | − | 0.758940i | ||||
\(863\) | 10062.6 | + | 13849.9i | 0.396910 | + | 0.546300i | 0.959965 | − | 0.280119i | \(-0.0903741\pi\) |
−0.563055 | + | 0.826419i | \(0.690374\pi\) | |||||||
\(864\) | 59681.0 | + | 43360.8i | 2.34999 | + | 1.70737i | ||||
\(865\) | 27117.1 | + | 37523.3i | 1.06591 | + | 1.47495i | ||||
\(866\) | 23461.4 | − | 17045.7i | 0.920612 | − | 0.668863i | ||||
\(867\) | −31555.3 | − | 10252.9i | −1.23607 | − | 0.401624i | ||||
\(868\) | − | 7989.38i | − | 0.312416i | ||||||
\(869\) | 3292.67 | − | 10133.8i | 0.128534 | − | 0.395587i | ||||
\(870\) | 19698.7 | − | 60107.0i | 0.767640 | − | 2.34232i | ||||
\(871\) | −18735.8 | − | 57662.9i | −0.728862 | − | 2.24321i | ||||
\(872\) | −1960.21 | + | 636.911i | −0.0761251 | + | 0.0247346i | ||||
\(873\) | 31888.7 | − | 43891.0i | 1.23627 | − | 1.70159i | ||||
\(874\) | 9.74257 | 0.000377057 | ||||||||
\(875\) | −3696.32 | − | 5169.82i | −0.142810 | − | 0.199739i | ||||
\(876\) | 21737.5 | 0.838405 | ||||||||
\(877\) | −2401.56 | + | 3305.47i | −0.0924686 | + | 0.127272i | −0.852745 | − | 0.522328i | \(-0.825064\pi\) |
0.760276 | + | 0.649600i | \(0.225064\pi\) | |||||||
\(878\) | 15670.7 | − | 5091.73i | 0.602348 | − | 0.195715i | ||||
\(879\) | −12717.4 | − | 39140.0i | −0.487993 | − | 1.50189i | ||||
\(880\) | −3472.13 | + | 10594.6i | −0.133006 | + | 0.405845i | ||||
\(881\) | −4274.26 | + | 13154.8i | −0.163454 | + | 0.503061i | −0.998919 | − | 0.0464832i | \(-0.985199\pi\) |
0.835465 | + | 0.549544i | \(0.185199\pi\) | |||||||
\(882\) | 74299.7i | 2.83651i | ||||||||
\(883\) | −8800.43 | − | 2859.43i | −0.335400 | − | 0.108978i | 0.136475 | − | 0.990643i | \(-0.456423\pi\) |
−0.471875 | + | 0.881666i | \(0.656423\pi\) | |||||||
\(884\) | 13288.0 | − | 9654.31i | 0.505571 | − | 0.367319i | ||||
\(885\) | −9017.41 | − | 12477.8i | −0.342505 | − | 0.473941i | ||||
\(886\) | −35047.6 | − | 25463.6i | −1.32895 | − | 0.965536i | ||||
\(887\) | 7113.58 | + | 9791.01i | 0.269279 | + | 0.370631i | 0.922146 | − | 0.386841i | \(-0.126434\pi\) |
−0.652867 | + | 0.757473i | \(0.726434\pi\) | |||||||
\(888\) | −4414.67 | − | 6076.27i | −0.166832 | − | 0.229624i | ||||
\(889\) | 8612.17 | + | 6257.10i | 0.324907 | + | 0.236059i | ||||
\(890\) | 9.08723 | − | 3582.61i | 0.000342252 | − | 0.134932i | ||||
\(891\) | 14248.3 | − | 10352.0i | 0.535730 | − | 0.389231i | ||||
\(892\) | 13874.6 | + | 4508.15i | 0.520804 | + | 0.169220i | ||||
\(893\) | 279.070i | 0.0104577i | ||||||||
\(894\) | −36414.3 | + | 112072.i | −1.36228 | + | 4.19266i | ||||
\(895\) | 11398.8 | + | 28.9127i | 0.425719 | + | 0.00107983i | ||||
\(896\) | 1017.07 | + | 3130.22i | 0.0379218 | + | 0.116711i | ||||
\(897\) | −1005.51 | + | 326.711i | −0.0374282 | + | 0.0121612i | ||||
\(898\) | −3053.26 | + | 4202.45i | −0.113462 | + | 0.156167i | ||||
\(899\) | −43017.1 | −1.59588 | ||||||||
\(900\) | 14939.2 | + | 46784.3i | 0.553303 | + | 1.73275i | ||||
\(901\) | 11797.1 | 0.436202 | ||||||||
\(902\) | −3010.32 | + | 4143.35i | −0.111123 | + | 0.152947i | ||||
\(903\) | −5491.42 | + | 1784.27i | −0.202373 | + | 0.0657551i | ||||
\(904\) | −1542.86 | − | 4748.43i | −0.0567640 | − | 0.174702i | ||||
\(905\) | 29484.7 | + | 21536.4i | 1.08299 | + | 0.791043i | ||||
\(906\) | 22512.3 | − | 69285.8i | 0.825521 | − | 2.54069i | ||||
\(907\) | − | 31373.4i | − | 1.14855i | −0.818661 | − | 0.574276i | \(-0.805283\pi\) | ||
0.818661 | − | 0.574276i | \(-0.194717\pi\) | |||||||
\(908\) | 6551.22 | + | 2128.62i | 0.239438 | + | 0.0777981i | ||||
\(909\) | −40126.9 | + | 29153.9i | −1.46417 | + | 1.06378i | ||||
\(910\) | 12591.4 | + | 4126.54i | 0.458683 | + | 0.150323i | ||||
\(911\) | 30121.2 | + | 21884.3i | 1.09545 | + | 0.795894i | 0.980312 | − | 0.197455i | \(-0.0632675\pi\) |
0.115143 | + | 0.993349i | \(0.463267\pi\) | |||||||
\(912\) | −629.757 | − | 866.786i | −0.0228655 | − | 0.0314717i | ||||
\(913\) | −7141.94 | − | 9830.04i | −0.258887 | − | 0.356327i | ||||
\(914\) | 21498.1 | + | 15619.3i | 0.778001 | + | 0.565251i | ||||
\(915\) | −13754.0 | + | 18830.1i | −0.496932 | + | 0.680333i | ||||
\(916\) | −13753.9 | + | 9992.80i | −0.496116 | + | 0.360449i | ||||
\(917\) | 6579.18 | + | 2137.71i | 0.236929 | + | 0.0769829i | ||||
\(918\) | − | 44201.2i | − | 1.58917i | ||||||
\(919\) | 4895.23 | − | 15066.0i | 0.175712 | − | 0.540784i | −0.823954 | − | 0.566657i | \(-0.808236\pi\) |
0.999665 | + | 0.0258726i | \(0.00823644\pi\) | |||||||
\(920\) | −32.5663 | − | 101.101i | −0.00116704 | − | 0.00362303i | ||||
\(921\) | 21753.3 | + | 66949.9i | 0.778281 | + | 2.39530i | ||||
\(922\) | 16469.0 | − | 5351.11i | 0.588263 | − | 0.191138i | ||||
\(923\) | −21318.2 | + | 29342.0i | −0.760236 | + | 1.04638i | ||||
\(924\) | −3729.50 | −0.132783 | ||||||||
\(925\) | 88.4033 | − | 17426.2i | 0.00314236 | − | 0.619429i | ||||
\(926\) | −56745.9 | −2.01381 | ||||||||
\(927\) | 33477.0 | − | 46077.1i | 1.18612 | − | 1.63255i | ||||
\(928\) | −35484.6 | + | 11529.7i | −1.25522 | + | 0.407844i | ||||
\(929\) | −1483.77 | − | 4566.57i | −0.0524014 | − | 0.161275i | 0.921431 | − | 0.388542i | \(-0.127021\pi\) |
−0.973833 | + | 0.227267i | \(0.927021\pi\) | |||||||
\(930\) | 87405.1 | − | 63165.4i | 3.08186 | − | 2.22718i | ||||
\(931\) | 154.502 | − | 475.508i | 0.00543887 | − | 0.0167391i | ||||
\(932\) | − | 39826.3i | − | 1.39973i | ||||||
\(933\) | −18061.7 | − | 5868.60i | −0.633776 | − | 0.205926i | ||||
\(934\) | 2815.47 | − | 2045.56i | 0.0986350 | − | 0.0716625i | ||||
\(935\) | 5316.10 | − | 1712.41i | 0.185941 | − | 0.0598950i | ||||
\(936\) | 19314.8 | + | 14033.0i | 0.674490 | + | 0.490046i | ||||
\(937\) | 11639.9 | + | 16021.0i | 0.405826 | + | 0.558572i | 0.962194 | − | 0.272364i | \(-0.0878055\pi\) |
−0.556368 | + | 0.830936i | \(0.687805\pi\) | |||||||
\(938\) | 9008.81 | + | 12399.6i | 0.313591 | + | 0.431621i | ||||
\(939\) | 68450.3 | + | 49732.1i | 2.37890 | + | 1.72838i | ||||
\(940\) | −12420.5 | + | 4000.86i | −0.430970 | + | 0.138823i | ||||
\(941\) | −25056.5 | + | 18204.6i | −0.868034 | + | 0.630664i | −0.930059 | − | 0.367411i | \(-0.880244\pi\) |
0.0620245 | + | 0.998075i | \(0.480244\pi\) | |||||||
\(942\) | −78254.8 | − | 25426.5i | −2.70667 | − | 0.879449i | ||||
\(943\) | − | 164.348i | − | 0.00567540i | ||||||
\(944\) | −3356.48 | + | 10330.2i | −0.115725 | + | 0.356164i | ||||
\(945\) | 12941.8 | − | 9352.72i | 0.445500 | − | 0.321951i | ||||
\(946\) | 2156.14 | + | 6635.91i | 0.0741037 | + | 0.228068i | ||||
\(947\) | −27273.4 | + | 8861.67i | −0.935868 | + | 0.304082i | −0.736960 | − | 0.675936i | \(-0.763739\pi\) |
−0.198908 | + | 0.980018i | \(0.563739\pi\) | |||||||
\(948\) | −28142.5 | + | 38734.9i | −0.964164 | + | 1.32706i | ||||
\(949\) | 24518.1 | 0.838665 | ||||||||
\(950\) | 3.74393 | − | 738.011i | 0.000127862 | − | 0.0252045i | ||||
\(951\) | −58638.5 | −1.99946 | ||||||||
\(952\) | 569.030 | − | 783.203i | 0.0193722 | − | 0.0266636i | ||||
\(953\) | 15746.8 | − | 5116.43i | 0.535244 | − | 0.173911i | −0.0289084 | − | 0.999582i | \(-0.509203\pi\) |
0.564152 | + | 0.825671i | \(0.309203\pi\) | |||||||
\(954\) | −22726.4 | − | 69944.7i | −0.771273 | − | 2.37373i | ||||
\(955\) | −1185.94 | − | 3681.69i | −0.0401843 | − | 0.124750i | ||||
\(956\) | −2722.17 | + | 8377.99i | −0.0920935 | + | 0.283435i | ||||
\(957\) | 20080.7i | 0.678283i | ||||||||
\(958\) | −7698.28 | − | 2501.32i | −0.259624 | − | 0.0843571i | ||||
\(959\) | −6370.55 | + | 4628.48i | −0.214511 | + | 0.155851i | ||||
\(960\) | 18731.2 | − | 25644.3i | 0.629737 | − | 0.862151i | ||||
\(961\) | −35232.2 | − | 25597.7i | −1.18265 | − | 0.859243i | ||||
\(962\) | 21356.0 | + | 29394.1i | 0.715744 | + | 0.985138i | ||||
\(963\) | −52037.7 | − | 71623.7i | −1.74132 | − | 2.39672i | ||||
\(964\) | 12971.9 | + | 9424.67i | 0.433401 | + | 0.314884i | ||||
\(965\) | −14894.7 | − | 4881.37i | −0.496866 | − | 0.162836i | ||||
\(966\) | 216.221 | − | 157.094i | 0.00720165 | − | 0.00523231i | ||||
\(967\) | −27650.9 | − | 8984.32i | −0.919537 | − | 0.298776i | −0.189260 | − | 0.981927i | \(-0.560609\pi\) |
−0.730277 | + | 0.683151i | \(0.760609\pi\) | |||||||
\(968\) | 6612.19i | 0.219550i | ||||||||
\(969\) | −165.856 | + | 510.451i | −0.00549850 | + | 0.0169226i | ||||
\(970\) | −30783.6 | − | 22485.1i | −1.01897 | − | 0.744281i | ||||
\(971\) | −12264.1 | − | 37745.1i | −0.405329 | − | 1.24747i | −0.920620 | − | 0.390459i | \(-0.872316\pi\) |
0.515292 | − | 0.857015i | \(-0.327684\pi\) | |||||||
\(972\) | −22946.1 | + | 7455.65i | −0.757199 | + | 0.246029i | ||||
\(973\) | 3743.30 | − | 5152.21i | 0.123335 | − | 0.169756i | ||||
\(974\) | −28739.2 | −0.945445 | ||||||||
\(975\) | 24362.3 | + | 76294.3i | 0.800225 | + | 2.50602i | ||||
\(976\) | 16451.9 | 0.539561 | ||||||||
\(977\) | 22975.6 | − | 31623.2i | 0.752359 | − | 1.03553i | −0.245452 | − | 0.969409i | \(-0.578936\pi\) |
0.997811 | − | 0.0661250i | \(-0.0210636\pi\) | |||||||
\(978\) | 61914.1 | − | 20117.1i | 2.02433 | − | 0.657744i | ||||
\(979\) | 351.467 | + | 1081.70i | 0.0114739 | + | 0.0353130i | ||||
\(980\) | 23378.2 | + | 59.2984i | 0.762031 | + | 0.00193288i | ||||
\(981\) | 6699.81 | − | 20619.9i | 0.218051 | − | 0.671093i | ||||
\(982\) | 22950.0i | 0.745787i | ||||||||
\(983\) | 19288.8 | + | 6267.32i | 0.625858 | + | 0.203354i | 0.604739 | − | 0.796423i | \(-0.293277\pi\) |
0.0211186 | + | 0.999777i | \(0.493277\pi\) | |||||||
\(984\) | −4340.96 | + | 3153.89i | −0.140635 | + | 0.102177i | ||||
\(985\) | −40.8944 | + | 16122.5i | −0.00132285 | + | 0.521528i | ||||
\(986\) | 18086.2 | + | 13140.4i | 0.584160 | + | 0.424417i | ||||
\(987\) | 4499.86 | + | 6193.53i | 0.145119 | + | 0.199739i | ||||
\(988\) | 405.004 | + | 557.440i | 0.0130414 | + | 0.0179499i | ||||
\(989\) | −181.143 | − | 131.608i | −0.00582408 | − | 0.00423144i | ||||
\(990\) | −20394.0 | − | 28220.2i | −0.654712 | − | 0.905957i | ||||
\(991\) | −4373.55 | + | 3177.57i | −0.140192 | + | 0.101855i | −0.655671 | − | 0.755047i | \(-0.727614\pi\) |
0.515479 | + | 0.856902i | \(0.327614\pi\) | |||||||
\(992\) | −60498.3 | − | 19657.1i | −1.93631 | − | 0.629146i | ||||
\(993\) | − | 98501.3i | − | 3.14788i | ||||||
\(994\) | 2833.18 | − | 8719.62i | 0.0904053 | − | 0.278239i | ||||
\(995\) | 628.387 | − | 1917.41i | 0.0200213 | − | 0.0610915i | ||||
\(996\) | 16871.7 | + | 51925.7i | 0.536747 | + | 1.65194i | ||||
\(997\) | 49634.9 | − | 16127.4i | 1.57668 | − | 0.512295i | 0.615484 | − | 0.788150i | \(-0.288961\pi\) |
0.961199 | + | 0.275854i | \(0.0889608\pi\) | |||||||
\(998\) | 25637.2 | − | 35286.6i | 0.813157 | − | 1.11922i | ||||
\(999\) | 43783.8 | 1.38664 |
(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 | 25.4.e.a.9.2 | ✓ | 24 | |
3.2 | odd | 2 | 225.4.m.a.109.5 | 24 | |||
5.2 | odd | 4 | 125.4.d.b.76.3 | 48 | |||
5.3 | odd | 4 | 125.4.d.b.76.10 | 48 | |||
5.4 | even | 2 | 125.4.e.a.49.5 | 24 | |||
25.2 | odd | 20 | 125.4.d.b.51.3 | 48 | |||
25.8 | odd | 20 | 625.4.a.g.1.4 | 24 | |||
25.11 | even | 5 | 125.4.e.a.74.5 | 24 | |||
25.14 | even | 10 | inner | 25.4.e.a.14.2 | yes | 24 | |
25.17 | odd | 20 | 625.4.a.g.1.21 | 24 | |||
25.23 | odd | 20 | 125.4.d.b.51.10 | 48 | |||
75.14 | odd | 10 | 225.4.m.a.64.5 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.4.e.a.9.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
25.4.e.a.14.2 | yes | 24 | 25.14 | even | 10 | inner | |
125.4.d.b.51.3 | 48 | 25.2 | odd | 20 | |||
125.4.d.b.51.10 | 48 | 25.23 | odd | 20 | |||
125.4.d.b.76.3 | 48 | 5.2 | odd | 4 | |||
125.4.d.b.76.10 | 48 | 5.3 | odd | 4 | |||
125.4.e.a.49.5 | 24 | 5.4 | even | 2 | |||
125.4.e.a.74.5 | 24 | 25.11 | even | 5 | |||
225.4.m.a.64.5 | 24 | 75.14 | odd | 10 | |||
225.4.m.a.109.5 | 24 | 3.2 | odd | 2 | |||
625.4.a.g.1.4 | 24 | 25.8 | odd | 20 | |||
625.4.a.g.1.21 | 24 | 25.17 | odd | 20 |