Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,4,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(10.3253342510\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 103.24 | ||
Character | \(\chi\) | \(=\) | 175.103 |
Dual form | 175.4.x.a.17.24 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21241 | − | 0.0635399i | −0.428653 | − | 0.0224648i | −0.163210 | − | 0.986591i | \(-0.552185\pi\) |
−0.265443 | + | 0.964127i | \(0.585518\pi\) | |||||||
\(3\) | 3.22285 | + | 3.97989i | 0.620238 | + | 0.765930i | 0.986354 | − | 0.164639i | \(-0.0526459\pi\) |
−0.366116 | + | 0.930569i | \(0.619313\pi\) | |||||||
\(4\) | −6.49026 | − | 0.682154i | −0.811283 | − | 0.0852693i | ||||
\(5\) | 8.85943 | + | 6.81986i | 0.792412 | + | 0.609986i | ||||
\(6\) | −3.65455 | − | 5.03006i | −0.248661 | − | 0.342252i | ||||
\(7\) | 10.7362 | − | 15.0908i | 0.579701 | − | 0.814829i | ||||
\(8\) | 17.4186 | + | 2.75883i | 0.769800 | + | 0.121924i | ||||
\(9\) | 0.160861 | − | 0.756792i | 0.00595782 | − | 0.0280293i | ||||
\(10\) | −10.3080 | − | 8.83142i | −0.325967 | − | 0.279274i | ||||
\(11\) | 25.0894 | − | 5.33292i | 0.687704 | − | 0.146176i | 0.149210 | − | 0.988806i | \(-0.452327\pi\) |
0.538494 | + | 0.842630i | \(0.318994\pi\) | |||||||
\(12\) | −18.2023 | − | 28.0290i | −0.437878 | − | 0.674273i | ||||
\(13\) | 2.21201 | + | 1.12707i | 0.0471923 | + | 0.0240457i | 0.477427 | − | 0.878671i | \(-0.341569\pi\) |
−0.430235 | + | 0.902717i | \(0.641569\pi\) | |||||||
\(14\) | −13.9756 | + | 17.6142i | −0.266796 | + | 0.336256i | ||||
\(15\) | 1.41037 | + | 57.2390i | 0.0242770 | + | 0.985269i | ||||
\(16\) | 30.1240 | + | 6.40305i | 0.470687 | + | 0.100048i | ||||
\(17\) | 6.65998 | + | 17.3498i | 0.0950166 | + | 0.247527i | 0.972849 | − | 0.231442i | \(-0.0743442\pi\) |
−0.877832 | + | 0.478968i | \(0.841011\pi\) | |||||||
\(18\) | −0.243117 | + | 0.907324i | −0.00318351 | + | 0.0118810i | ||||
\(19\) | 13.6886 | + | 130.238i | 0.165283 | + | 1.57256i | 0.691603 | + | 0.722277i | \(0.256905\pi\) |
−0.526320 | + | 0.850286i | \(0.676429\pi\) | |||||||
\(20\) | −52.8479 | − | 50.3062i | −0.590857 | − | 0.562440i | ||||
\(21\) | 94.6612 | − | 5.90658i | 0.983655 | − | 0.0613772i | ||||
\(22\) | −30.7576 | + | 4.87153i | −0.298070 | + | 0.0472097i | ||||
\(23\) | 1.98637 | − | 37.9023i | 0.0180082 | − | 0.343616i | −0.974735 | − | 0.223364i | \(-0.928296\pi\) |
0.992743 | − | 0.120252i | \(-0.0383704\pi\) | |||||||
\(24\) | 45.1577 | + | 78.2154i | 0.384074 | + | 0.665236i | ||||
\(25\) | 31.9791 | + | 120.840i | 0.255833 | + | 0.966721i | ||||
\(26\) | −2.61025 | − | 1.50703i | −0.0196889 | − | 0.0113674i | ||||
\(27\) | 126.731 | − | 64.5727i | 0.903311 | − | 0.460260i | ||||
\(28\) | −79.9752 | + | 90.6198i | −0.539782 | + | 0.611626i | ||||
\(29\) | −27.5382 | + | 37.9031i | −0.176335 | + | 0.242704i | −0.888031 | − | 0.459783i | \(-0.847927\pi\) |
0.711696 | + | 0.702487i | \(0.247927\pi\) | |||||||
\(30\) | 1.92701 | − | 69.4870i | 0.0117274 | − | 0.422884i | ||||
\(31\) | −45.2923 | + | 101.728i | −0.262411 | + | 0.589384i | −0.995915 | − | 0.0903011i | \(-0.971217\pi\) |
0.733504 | + | 0.679685i | \(0.237884\pi\) | |||||||
\(32\) | −172.394 | − | 46.1929i | −0.952353 | − | 0.255182i | ||||
\(33\) | 102.084 | + | 82.6659i | 0.538500 | + | 0.436069i | ||||
\(34\) | −6.97225 | − | 21.4584i | −0.0351686 | − | 0.108238i | ||||
\(35\) | 198.034 | − | 60.4769i | 0.956397 | − | 0.292070i | ||||
\(36\) | −1.56028 | + | 4.80204i | −0.00722351 | + | 0.0222317i | ||||
\(37\) | −96.5601 | + | 62.7068i | −0.429037 | + | 0.278620i | −0.741040 | − | 0.671461i | \(-0.765667\pi\) |
0.312002 | + | 0.950081i | \(0.399000\pi\) | |||||||
\(38\) | −8.32092 | − | 158.773i | −0.0355219 | − | 0.677798i | ||||
\(39\) | 2.64334 | + | 12.4359i | 0.0108531 | + | 0.0510601i | ||||
\(40\) | 135.504 | + | 143.234i | 0.535627 | + | 0.566182i | ||||
\(41\) | 463.033 | − | 150.448i | 1.76375 | − | 0.573076i | 0.766168 | − | 0.642641i | \(-0.222161\pi\) |
0.997577 | + | 0.0695651i | \(0.0221612\pi\) | |||||||
\(42\) | −115.144 | + | 1.14646i | −0.423026 | + | 0.00421196i | ||||
\(43\) | 91.2438 | + | 91.2438i | 0.323594 | + | 0.323594i | 0.850144 | − | 0.526550i | \(-0.176515\pi\) |
−0.526550 | + | 0.850144i | \(0.676515\pi\) | |||||||
\(44\) | −166.475 | + | 17.4972i | −0.570387 | + | 0.0599500i | ||||
\(45\) | 6.58635 | − | 5.60770i | 0.0218185 | − | 0.0185766i | ||||
\(46\) | −4.81662 | + | 45.8270i | −0.0154385 | + | 0.146888i | ||||
\(47\) | 201.454 | + | 77.3311i | 0.625215 | + | 0.239998i | 0.650288 | − | 0.759688i | \(-0.274648\pi\) |
−0.0250724 | + | 0.999686i | \(0.507982\pi\) | |||||||
\(48\) | 71.6017 | + | 140.526i | 0.215309 | + | 0.422567i | ||||
\(49\) | −112.467 | − | 324.037i | −0.327893 | − | 0.944715i | ||||
\(50\) | −31.0938 | − | 148.540i | −0.0879466 | − | 0.420135i | ||||
\(51\) | −47.5863 | + | 82.4220i | −0.130655 | + | 0.226302i | ||||
\(52\) | −13.5877 | − | 8.82393i | −0.0362359 | − | 0.0235319i | ||||
\(53\) | −232.151 | + | 187.993i | −0.601669 | + | 0.487222i | −0.881091 | − | 0.472946i | \(-0.843190\pi\) |
0.279422 | + | 0.960168i | \(0.409857\pi\) | |||||||
\(54\) | −157.754 | + | 70.2364i | −0.397547 | + | 0.176999i | ||||
\(55\) | 258.648 | + | 123.859i | 0.634110 | + | 0.303658i | ||||
\(56\) | 228.643 | − | 233.242i | 0.545602 | − | 0.556576i | ||||
\(57\) | −474.218 | + | 474.218i | −1.10196 | + | 1.10196i | ||||
\(58\) | 35.7961 | − | 44.2045i | 0.0810389 | − | 0.100075i | ||||
\(59\) | −313.460 | + | 348.132i | −0.691678 | + | 0.768186i | −0.982028 | − | 0.188734i | \(-0.939561\pi\) |
0.290350 | + | 0.956920i | \(0.406228\pi\) | |||||||
\(60\) | 29.8922 | − | 372.458i | 0.0643177 | − | 0.801402i | ||||
\(61\) | 490.372 | − | 441.533i | 1.02927 | − | 0.926763i | 0.0319225 | − | 0.999490i | \(-0.489837\pi\) |
0.997352 | + | 0.0727276i | \(0.0231704\pi\) | |||||||
\(62\) | 61.3768 | − | 120.459i | 0.125724 | − | 0.246746i | ||||
\(63\) | −9.69358 | − | 10.5526i | −0.0193853 | − | 0.0211032i | ||||
\(64\) | −28.2391 | − | 9.17544i | −0.0551545 | − | 0.0179208i | ||||
\(65\) | 11.9106 | + | 25.0708i | 0.0227282 | + | 0.0478407i | ||||
\(66\) | −118.515 | − | 106.712i | −0.221034 | − | 0.199020i | ||||
\(67\) | −142.751 | + | 54.7969i | −0.260295 | + | 0.0999179i | −0.485016 | − | 0.874505i | \(-0.661186\pi\) |
0.224721 | + | 0.974423i | \(0.427853\pi\) | |||||||
\(68\) | −31.3898 | − | 117.148i | −0.0559789 | − | 0.208916i | ||||
\(69\) | 157.249 | − | 114.248i | 0.274355 | − | 0.199331i | ||||
\(70\) | −243.942 | + | 60.7400i | −0.416524 | + | 0.103712i | ||||
\(71\) | −557.789 | − | 405.257i | −0.932357 | − | 0.677397i | 0.0142121 | − | 0.999899i | \(-0.495476\pi\) |
−0.946569 | + | 0.322502i | \(0.895476\pi\) | |||||||
\(72\) | 4.88983 | − | 12.7385i | 0.00800379 | − | 0.0208506i | ||||
\(73\) | 108.656 | − | 167.316i | 0.174209 | − | 0.268258i | −0.740771 | − | 0.671758i | \(-0.765540\pi\) |
0.914980 | + | 0.403500i | \(0.132206\pi\) | |||||||
\(74\) | 121.055 | − | 69.8912i | 0.190167 | − | 0.109793i | ||||
\(75\) | −377.866 | + | 516.723i | −0.581763 | + | 0.795548i | ||||
\(76\) | − | 854.619i | − | 1.28989i | ||||||
\(77\) | 188.887 | − | 435.876i | 0.279554 | − | 0.645099i | ||||
\(78\) | −2.41464 | − | 15.2455i | −0.00350519 | − | 0.0221309i | ||||
\(79\) | −528.116 | − | 1186.17i | −0.752123 | − | 1.68930i | −0.724107 | − | 0.689688i | \(-0.757748\pi\) |
−0.0280161 | − | 0.999607i | \(-0.508919\pi\) | |||||||
\(80\) | 223.214 | + | 262.169i | 0.311950 | + | 0.366392i | ||||
\(81\) | 646.344 | + | 287.771i | 0.886617 | + | 0.394747i | ||||
\(82\) | −570.947 | + | 152.985i | −0.768909 | + | 0.206029i | ||||
\(83\) | −60.7388 | + | 383.490i | −0.0803247 | + | 0.507150i | 0.914420 | + | 0.404766i | \(0.132647\pi\) |
−0.994745 | + | 0.102384i | \(0.967353\pi\) | |||||||
\(84\) | −618.405 | − | 26.2382i | −0.803256 | − | 0.0340813i | ||||
\(85\) | −59.3198 | + | 199.130i | −0.0756957 | + | 0.254102i | ||||
\(86\) | −104.828 | − | 116.423i | −0.131440 | − | 0.145979i | ||||
\(87\) | −239.602 | + | 12.5570i | −0.295264 | + | 0.0154742i | ||||
\(88\) | 451.735 | − | 23.6744i | 0.547217 | − | 0.0286784i | ||||
\(89\) | −1002.48 | − | 1113.37i | −1.19396 | − | 1.32603i | −0.932653 | − | 0.360774i | \(-0.882513\pi\) |
−0.261309 | − | 0.965255i | \(-0.584154\pi\) | |||||||
\(90\) | −8.34169 | + | 6.38036i | −0.00976991 | + | 0.00747276i | ||||
\(91\) | 40.7571 | − | 21.2805i | 0.0469506 | − | 0.0245143i | ||||
\(92\) | −38.7473 | + | 244.641i | −0.0439096 | + | 0.277234i | ||||
\(93\) | −550.837 | + | 147.596i | −0.614184 | + | 0.164570i | ||||
\(94\) | −239.332 | − | 106.558i | −0.262609 | − | 0.116921i | ||||
\(95\) | −766.933 | + | 1247.19i | −0.828270 | + | 1.34694i | ||||
\(96\) | −371.758 | − | 834.983i | −0.395234 | − | 0.887709i | ||||
\(97\) | 84.4782 | + | 533.374i | 0.0884274 | + | 0.558309i | 0.991632 | + | 0.129098i | \(0.0412082\pi\) |
−0.903204 | + | 0.429211i | \(0.858792\pi\) | |||||||
\(98\) | 115.768 | + | 400.014i | 0.119329 | + | 0.412321i | ||||
\(99\) | − | 19.8453i | − | 0.0201467i | ||||||
\(100\) | −125.121 | − | 806.099i | −0.125121 | − | 0.806099i | ||||
\(101\) | −769.068 | + | 444.022i | −0.757675 | + | 0.437444i | −0.828460 | − | 0.560048i | \(-0.810783\pi\) |
0.0707854 | + | 0.997492i | \(0.477449\pi\) | |||||||
\(102\) | 62.9315 | − | 96.9060i | 0.0610896 | − | 0.0940698i | ||||
\(103\) | 219.664 | − | 572.244i | 0.210137 | − | 0.547426i | −0.787486 | − | 0.616332i | \(-0.788618\pi\) |
0.997623 | + | 0.0689068i | \(0.0219511\pi\) | |||||||
\(104\) | 35.4206 | + | 25.7346i | 0.0333969 | + | 0.0242643i | ||||
\(105\) | 878.926 | + | 593.246i | 0.816899 | + | 0.551380i | ||||
\(106\) | 293.409 | − | 213.174i | 0.268853 | − | 0.195333i | ||||
\(107\) | −177.573 | − | 662.712i | −0.160436 | − | 0.598755i | −0.998578 | − | 0.0533038i | \(-0.983025\pi\) |
0.838142 | − | 0.545452i | \(-0.183642\pi\) | |||||||
\(108\) | −866.567 | + | 332.644i | −0.772087 | + | 0.296377i | ||||
\(109\) | 746.559 | + | 672.205i | 0.656031 | + | 0.590693i | 0.928437 | − | 0.371489i | \(-0.121153\pi\) |
−0.272406 | + | 0.962182i | \(0.587819\pi\) | |||||||
\(110\) | −305.718 | − | 166.603i | −0.264992 | − | 0.144409i | ||||
\(111\) | −560.765 | − | 182.204i | −0.479509 | − | 0.155802i | ||||
\(112\) | 420.045 | − | 385.852i | 0.354380 | − | 0.325532i | ||||
\(113\) | 653.220 | − | 1282.02i | 0.543803 | − | 1.06727i | −0.441628 | − | 0.897198i | \(-0.645599\pi\) |
0.985431 | − | 0.170076i | \(-0.0544012\pi\) | |||||||
\(114\) | 605.080 | − | 544.817i | 0.497114 | − | 0.447603i | ||||
\(115\) | 276.086 | − | 322.246i | 0.223871 | − | 0.261301i | ||||
\(116\) | 204.586 | − | 227.216i | 0.163753 | − | 0.181866i | ||||
\(117\) | 1.20878 | − | 1.49272i | 0.000955147 | − | 0.00117951i | ||||
\(118\) | 402.164 | − | 402.164i | 0.313747 | − | 0.313747i | ||||
\(119\) | 333.327 | + | 85.7670i | 0.256773 | + | 0.0660693i | ||||
\(120\) | −133.346 | + | 1000.91i | −0.101440 | + | 0.761420i | ||||
\(121\) | −614.891 | + | 273.767i | −0.461977 | + | 0.205685i | ||||
\(122\) | −622.589 | + | 504.163i | −0.462021 | + | 0.374137i | ||||
\(123\) | 2091.05 | + | 1357.95i | 1.53288 | + | 0.995463i | ||||
\(124\) | 363.353 | − | 629.346i | 0.263146 | − | 0.455782i | ||||
\(125\) | −540.795 | + | 1288.67i | −0.386961 | + | 0.922096i | ||||
\(126\) | 11.0821 | + | 13.4101i | 0.00783551 | + | 0.00948146i | ||||
\(127\) | 744.230 | + | 1460.63i | 0.519998 | + | 1.02055i | 0.990417 | + | 0.138110i | \(0.0441028\pi\) |
−0.470419 | + | 0.882443i | \(0.655897\pi\) | |||||||
\(128\) | 1366.63 | + | 524.598i | 0.943701 | + | 0.362253i | ||||
\(129\) | −69.0751 | + | 657.206i | −0.0471451 | + | 0.448556i | ||||
\(130\) | −12.8476 | − | 31.1530i | −0.00866779 | − | 0.0210177i | ||||
\(131\) | 2274.63 | − | 239.073i | 1.51706 | − | 0.159449i | 0.690927 | − | 0.722924i | \(-0.257203\pi\) |
0.826133 | + | 0.563475i | \(0.190536\pi\) | |||||||
\(132\) | −606.160 | − | 606.160i | −0.399693 | − | 0.399693i | ||||
\(133\) | 2112.37 | + | 1191.69i | 1.37719 | + | 0.776940i | ||||
\(134\) | 176.555 | − | 57.3661i | 0.113821 | − | 0.0369827i | ||||
\(135\) | 1563.14 | + | 292.210i | 0.996547 | + | 0.186292i | ||||
\(136\) | 68.1422 | + | 320.584i | 0.0429643 | + | 0.202131i | ||||
\(137\) | 79.8997 | + | 1524.58i | 0.0498269 | + | 0.950755i | 0.903137 | + | 0.429352i | \(0.141258\pi\) |
−0.853310 | + | 0.521403i | \(0.825409\pi\) | |||||||
\(138\) | −197.910 | + | 128.524i | −0.122081 | + | 0.0792805i | ||||
\(139\) | 922.623 | − | 2839.54i | 0.562992 | − | 1.73271i | −0.110853 | − | 0.993837i | \(-0.535358\pi\) |
0.673845 | − | 0.738873i | \(-0.264642\pi\) | |||||||
\(140\) | −1326.55 | + | 257.421i | −0.800813 | + | 0.155400i | ||||
\(141\) | 341.488 | + | 1050.99i | 0.203961 | + | 0.627727i | ||||
\(142\) | 650.521 | + | 526.781i | 0.384440 | + | 0.311313i | ||||
\(143\) | 61.5085 | + | 16.4811i | 0.0359692 | + | 0.00963792i | ||||
\(144\) | 9.69155 | − | 21.7676i | 0.00560854 | − | 0.0125970i | ||||
\(145\) | −502.467 | + | 147.993i | −0.287776 | + | 0.0847599i | ||||
\(146\) | −142.368 | + | 195.952i | −0.0807015 | + | 0.111076i | ||||
\(147\) | 927.168 | − | 1491.93i | 0.520214 | − | 0.837091i | ||||
\(148\) | 669.476 | − | 341.115i | 0.371828 | − | 0.189456i | ||||
\(149\) | 869.615 | + | 502.073i | 0.478132 | + | 0.276050i | 0.719638 | − | 0.694350i | \(-0.244308\pi\) |
−0.241506 | + | 0.970399i | \(0.577641\pi\) | |||||||
\(150\) | 490.963 | − | 602.473i | 0.267247 | − | 0.327945i | ||||
\(151\) | −444.627 | − | 770.117i | −0.239624 | − | 0.415041i | 0.720982 | − | 0.692953i | \(-0.243691\pi\) |
−0.960606 | + | 0.277912i | \(0.910358\pi\) | |||||||
\(152\) | −120.870 | + | 2306.33i | −0.0644989 | + | 1.23071i | ||||
\(153\) | 14.2015 | − | 2.24930i | 0.00750410 | − | 0.00118853i | ||||
\(154\) | −256.705 | + | 516.460i | −0.134324 | + | 0.270244i | ||||
\(155\) | −1095.04 | + | 592.367i | −0.567454 | + | 0.306968i | ||||
\(156\) | −8.67274 | − | 82.5156i | −0.00445112 | − | 0.0423496i | ||||
\(157\) | −625.516 | + | 2334.46i | −0.317972 | + | 1.18669i | 0.603218 | + | 0.797576i | \(0.293885\pi\) |
−0.921190 | + | 0.389112i | \(0.872782\pi\) | |||||||
\(158\) | 564.926 | + | 1471.68i | 0.284450 | + | 0.741018i | ||||
\(159\) | −1496.38 | − | 318.065i | −0.746356 | − | 0.158643i | ||||
\(160\) | −1212.29 | − | 1584.95i | −0.598998 | − | 0.783132i | ||||
\(161\) | −550.651 | − | 436.903i | −0.269549 | − | 0.213868i | ||||
\(162\) | −765.352 | − | 389.966i | −0.371183 | − | 0.189127i | ||||
\(163\) | −843.269 | − | 1298.52i | −0.405214 | − | 0.623975i | 0.575874 | − | 0.817539i | \(-0.304662\pi\) |
−0.981088 | + | 0.193564i | \(0.937995\pi\) | |||||||
\(164\) | −3107.83 | + | 660.590i | −1.47976 | + | 0.314533i | ||||
\(165\) | 340.636 | + | 1428.57i | 0.160718 | + | 0.674024i | ||||
\(166\) | 98.0075 | − | 461.089i | 0.0458245 | − | 0.215587i | ||||
\(167\) | −3146.88 | − | 498.417i | −1.45816 | − | 0.230950i | −0.623548 | − | 0.781785i | \(-0.714310\pi\) |
−0.834615 | + | 0.550834i | \(0.814310\pi\) | |||||||
\(168\) | 1665.16 | + | 158.270i | 0.764701 | + | 0.0726834i | ||||
\(169\) | −1287.74 | − | 1772.42i | −0.586136 | − | 0.806747i | ||||
\(170\) | 84.5728 | − | 237.659i | 0.0381555 | − | 0.107221i | ||||
\(171\) | 100.765 | + | 10.5908i | 0.0450626 | + | 0.00473627i | ||||
\(172\) | −529.954 | − | 654.439i | −0.234934 | − | 0.290119i | ||||
\(173\) | −2126.82 | − | 111.462i | −0.934677 | − | 0.0489844i | −0.421087 | − | 0.907020i | \(-0.638351\pi\) |
−0.513590 | + | 0.858036i | \(0.671685\pi\) | |||||||
\(174\) | 291.295 | 0.126914 | ||||||||
\(175\) | 2166.91 | + | 814.774i | 0.936019 | + | 0.351949i | ||||
\(176\) | 789.940 | 0.338318 | ||||||||
\(177\) | −2395.76 | − | 125.557i | −1.01738 | − | 0.0533187i | ||||
\(178\) | 1144.68 | + | 1413.56i | 0.482007 | + | 0.595229i | ||||
\(179\) | 102.025 | + | 10.7233i | 0.0426018 | + | 0.00447763i | 0.125805 | − | 0.992055i | \(-0.459849\pi\) |
−0.0832036 | + | 0.996533i | \(0.526515\pi\) | |||||||
\(180\) | −46.5724 | + | 31.9025i | −0.0192850 | + | 0.0132104i | ||||
\(181\) | −360.881 | − | 496.711i | −0.148200 | − | 0.203979i | 0.728463 | − | 0.685085i | \(-0.240235\pi\) |
−0.876662 | + | 0.481106i | \(0.840235\pi\) | |||||||
\(182\) | −50.7666 | + | 23.2111i | −0.0206762 | + | 0.00945342i | ||||
\(183\) | 3337.65 | + | 528.632i | 1.34823 | + | 0.213539i | ||||
\(184\) | 139.166 | − | 654.724i | 0.0557579 | − | 0.262320i | ||||
\(185\) | −1283.12 | − | 102.979i | −0.509929 | − | 0.0409250i | ||||
\(186\) | 677.221 | − | 143.948i | 0.266969 | − | 0.0567461i | ||||
\(187\) | 259.620 | + | 399.780i | 0.101526 | + | 0.156336i | ||||
\(188\) | −1254.74 | − | 639.322i | −0.486762 | − | 0.248018i | ||||
\(189\) | 386.156 | − | 2605.75i | 0.148617 | − | 1.00286i | ||||
\(190\) | 1009.09 | − | 1463.38i | 0.385299 | − | 0.558763i | ||||
\(191\) | 7.49241 | + | 1.59256i | 0.00283839 | + | 0.000603317i | 0.209331 | − | 0.977845i | \(-0.432871\pi\) |
−0.206492 | + | 0.978448i | \(0.566205\pi\) | |||||||
\(192\) | −54.4932 | − | 141.960i | −0.0204828 | − | 0.0533596i | ||||
\(193\) | 705.472 | − | 2632.86i | 0.263114 | − | 0.981955i | −0.700281 | − | 0.713868i | \(-0.746942\pi\) |
0.963395 | − | 0.268087i | \(-0.0863916\pi\) | |||||||
\(194\) | −68.5320 | − | 652.038i | −0.0253624 | − | 0.241307i | ||||
\(195\) | −61.3927 | + | 128.202i | −0.0225458 | + | 0.0470809i | ||||
\(196\) | 508.898 | + | 2179.81i | 0.185459 | + | 0.794390i | ||||
\(197\) | −3512.10 | + | 556.262i | −1.27019 | + | 0.201178i | −0.754900 | − | 0.655840i | \(-0.772315\pi\) |
−0.515287 | + | 0.857018i | \(0.672315\pi\) | |||||||
\(198\) | −1.26097 | + | 24.0607i | −0.000452592 | + | 0.00863597i | ||||
\(199\) | 1480.92 | + | 2565.03i | 0.527536 | + | 0.913719i | 0.999485 | + | 0.0320928i | \(0.0102172\pi\) |
−0.471949 | + | 0.881626i | \(0.656449\pi\) | |||||||
\(200\) | 223.654 | + | 2193.09i | 0.0790736 | + | 0.775374i | ||||
\(201\) | −678.150 | − | 391.530i | −0.237975 | − | 0.137395i | ||||
\(202\) | 960.643 | − | 489.472i | 0.334607 | − | 0.170491i | ||||
\(203\) | 276.334 | + | 822.511i | 0.0955409 | + | 0.284379i | ||||
\(204\) | 365.072 | − | 502.479i | 0.125295 | − | 0.172454i | ||||
\(205\) | 5128.24 | + | 1824.93i | 1.74718 | + | 0.621749i | ||||
\(206\) | −302.684 | + | 679.839i | −0.102374 | + | 0.229935i | ||||
\(207\) | −28.3646 | − | 7.60027i | −0.00952403 | − | 0.00255196i | ||||
\(208\) | 59.4177 | + | 48.1155i | 0.0198071 | + | 0.0160395i | ||||
\(209\) | 1037.99 | + | 3194.60i | 0.343537 | + | 1.05730i | ||||
\(210\) | −1027.93 | − | 775.107i | −0.337780 | − | 0.254702i | ||||
\(211\) | 296.499 | − | 912.530i | 0.0967385 | − | 0.297730i | −0.890964 | − | 0.454073i | \(-0.849970\pi\) |
0.987703 | + | 0.156343i | \(0.0499705\pi\) | |||||||
\(212\) | 1634.96 | − | 1061.76i | 0.529669 | − | 0.343971i | ||||
\(213\) | −184.791 | − | 3526.02i | −0.0594444 | − | 1.13427i | ||||
\(214\) | 173.184 | + | 814.765i | 0.0553205 | + | 0.260263i | ||||
\(215\) | 186.099 | + | 1430.64i | 0.0590318 | + | 0.453808i | ||||
\(216\) | 2385.62 | − | 775.136i | 0.751486 | − | 0.244173i | ||||
\(217\) | 1048.90 | + | 1775.67i | 0.328128 | + | 0.555487i | ||||
\(218\) | −862.427 | − | 862.427i | −0.267940 | − | 0.267940i | ||||
\(219\) | 1016.08 | − | 106.794i | 0.313518 | − | 0.0329521i | ||||
\(220\) | −1594.20 | − | 980.318i | −0.488550 | − | 0.300423i | ||||
\(221\) | −4.82263 | + | 45.8842i | −0.00146790 | + | 0.0139661i | ||||
\(222\) | 668.302 | + | 256.537i | 0.202043 | + | 0.0775570i | ||||
\(223\) | −1936.47 | − | 3800.53i | −0.581504 | − | 1.14127i | −0.975055 | − | 0.221963i | \(-0.928753\pi\) |
0.393551 | − | 0.919303i | \(-0.371247\pi\) | |||||||
\(224\) | −2547.95 | + | 2105.64i | −0.760010 | + | 0.628075i | ||||
\(225\) | 96.5950 | − | 4.76308i | 0.0286207 | − | 0.00141128i | ||||
\(226\) | −873.433 | + | 1512.83i | −0.257079 | + | 0.445274i | ||||
\(227\) | −4661.22 | − | 3027.03i | −1.36289 | − | 0.885072i | −0.363965 | − | 0.931412i | \(-0.618577\pi\) |
−0.998926 | + | 0.0463406i | \(0.985244\pi\) | |||||||
\(228\) | 3401.29 | − | 2754.31i | 0.987964 | − | 0.800038i | ||||
\(229\) | 1878.47 | − | 836.350i | 0.542065 | − | 0.241343i | −0.117391 | − | 0.993086i | \(-0.537453\pi\) |
0.659456 | + | 0.751743i | \(0.270787\pi\) | |||||||
\(230\) | −355.206 | + | 373.153i | −0.101833 | + | 0.106978i | ||||
\(231\) | 2343.49 | − | 653.013i | 0.667491 | − | 0.185996i | ||||
\(232\) | −584.245 | + | 584.245i | −0.165334 | + | 0.165334i | ||||
\(233\) | −4071.52 | + | 5027.90i | −1.14478 | + | 1.41369i | −0.249391 | + | 0.968403i | \(0.580230\pi\) |
−0.895390 | + | 0.445283i | \(0.853103\pi\) | |||||||
\(234\) | −1.56040 | + | 1.73299i | −0.000435924 | + | 0.000484143i | ||||
\(235\) | 1257.38 | + | 2059.00i | 0.349033 | + | 0.571550i | ||||
\(236\) | 2271.92 | − | 2045.64i | 0.626649 | − | 0.564237i | ||||
\(237\) | 3018.78 | − | 5924.69i | 0.827387 | − | 1.62384i | ||||
\(238\) | −398.681 | − | 125.165i | −0.108582 | − | 0.0340892i | ||||
\(239\) | −2278.86 | − | 740.445i | −0.616765 | − | 0.200399i | −0.0160616 | − | 0.999871i | \(-0.505113\pi\) |
−0.600704 | + | 0.799472i | \(0.705113\pi\) | |||||||
\(240\) | −324.018 | + | 1733.30i | −0.0871470 | + | 0.466182i | ||||
\(241\) | 1264.72 | + | 1138.76i | 0.338040 | + | 0.304372i | 0.820614 | − | 0.571483i | \(-0.193632\pi\) |
−0.482574 | + | 0.875855i | \(0.660298\pi\) | |||||||
\(242\) | 762.898 | − | 292.849i | 0.202648 | − | 0.0777895i | ||||
\(243\) | −56.1706 | − | 209.631i | −0.0148286 | − | 0.0553410i | ||||
\(244\) | −3483.84 | + | 2531.16i | −0.914057 | + | 0.664101i | ||||
\(245\) | 1213.49 | − | 3637.80i | 0.316437 | − | 0.948613i | ||||
\(246\) | −2448.94 | − | 1779.26i | −0.634710 | − | 0.461144i | ||||
\(247\) | −116.509 | + | 303.516i | −0.0300133 | + | 0.0781872i | ||||
\(248\) | −1069.58 | + | 1647.01i | −0.273864 | + | 0.421714i | ||||
\(249\) | −1722.00 | + | 994.197i | −0.438262 | + | 0.253031i | ||||
\(250\) | 737.550 | − | 1528.04i | 0.186587 | − | 0.386566i | ||||
\(251\) | − | 1344.99i | − | 0.338227i | −0.985597 | − | 0.169114i | \(-0.945910\pi\) | ||
0.985597 | − | 0.169114i | \(-0.0540905\pi\) | |||||||
\(252\) | 55.7154 | + | 75.1017i | 0.0139275 | + | 0.0187737i | ||||
\(253\) | −152.293 | − | 961.538i | −0.0378441 | − | 0.238938i | ||||
\(254\) | −809.506 | − | 1818.18i | −0.199972 | − | 0.449145i | ||||
\(255\) | −983.694 | + | 405.680i | −0.241574 | + | 0.0996262i | ||||
\(256\) | −1406.58 | − | 626.250i | −0.343404 | − | 0.152893i | ||||
\(257\) | 63.5841 | − | 17.0373i | 0.0154329 | − | 0.00413524i | −0.251094 | − | 0.967963i | \(-0.580790\pi\) |
0.266527 | + | 0.963827i | \(0.414124\pi\) | |||||||
\(258\) | 125.506 | − | 792.417i | 0.0302856 | − | 0.191216i | ||||
\(259\) | −90.3908 | + | 2130.41i | −0.0216858 | + | 0.511108i | ||||
\(260\) | −60.2011 | − | 170.841i | −0.0143597 | − | 0.0407504i | ||||
\(261\) | 24.2549 | + | 26.9378i | 0.00575227 | + | 0.00638854i | ||||
\(262\) | −2772.98 | + | 145.326i | −0.653875 | + | 0.0342681i | ||||
\(263\) | −3113.68 | + | 163.181i | −0.730029 | + | 0.0382592i | −0.413729 | − | 0.910400i | \(-0.635774\pi\) |
−0.316300 | + | 0.948659i | \(0.602441\pi\) | |||||||
\(264\) | 1550.10 | + | 1721.56i | 0.361370 | + | 0.401342i | ||||
\(265\) | −3338.81 | + | 82.2682i | −0.773968 | + | 0.0190705i | ||||
\(266\) | −2485.35 | − | 1579.05i | −0.572881 | − | 0.363976i | ||||
\(267\) | 1200.23 | − | 7577.97i | 0.275105 | − | 1.73695i | ||||
\(268\) | 963.869 | − | 258.268i | 0.219693 | − | 0.0588665i | ||||
\(269\) | 462.068 | + | 205.726i | 0.104732 | + | 0.0466295i | 0.458434 | − | 0.888729i | \(-0.348411\pi\) |
−0.353702 | + | 0.935358i | \(0.615077\pi\) | |||||||
\(270\) | −1876.61 | − | 453.602i | −0.422988 | − | 0.102242i | ||||
\(271\) | −2386.46 | − | 5360.08i | −0.534934 | − | 1.20148i | −0.955708 | − | 0.294316i | \(-0.904908\pi\) |
0.420774 | − | 0.907165i | \(-0.361758\pi\) | |||||||
\(272\) | 89.5332 | + | 565.291i | 0.0199586 | + | 0.126014i | ||||
\(273\) | 216.048 | + | 93.6246i | 0.0478968 | + | 0.0207561i | ||||
\(274\) | − | 1853.50i | − | 0.408663i | ||||||
\(275\) | 1446.77 | + | 2861.26i | 0.317249 | + | 0.627421i | ||||
\(276\) | −1098.52 | + | 634.231i | −0.239577 | + | 0.138320i | ||||
\(277\) | −1940.42 | + | 2987.99i | −0.420898 | + | 0.648126i | −0.983981 | − | 0.178274i | \(-0.942949\pi\) |
0.563083 | + | 0.826400i | \(0.309615\pi\) | |||||||
\(278\) | −1299.03 | + | 3384.08i | −0.280253 | + | 0.730084i | ||||
\(279\) | 69.7012 | + | 50.6409i | 0.0149566 | + | 0.0108666i | ||||
\(280\) | 3616.32 | − | 507.079i | 0.771845 | − | 0.108228i | ||||
\(281\) | −3912.84 | + | 2842.85i | −0.830679 | + | 0.603523i | −0.919751 | − | 0.392502i | \(-0.871610\pi\) |
0.0890727 | + | 0.996025i | \(0.471610\pi\) | |||||||
\(282\) | −347.245 | − | 1295.94i | −0.0733268 | − | 0.273659i | ||||
\(283\) | −1051.66 | + | 403.696i | −0.220901 | + | 0.0847960i | −0.466302 | − | 0.884626i | \(-0.654414\pi\) |
0.245401 | + | 0.969422i | \(0.421081\pi\) | |||||||
\(284\) | 3343.75 | + | 3010.72i | 0.698644 | + | 0.629062i | ||||
\(285\) | −7435.40 | + | 967.205i | −1.54539 | + | 0.201025i | ||||
\(286\) | −73.5265 | − | 23.8902i | −0.0152018 | − | 0.00493937i | ||||
\(287\) | 2700.83 | − | 8602.80i | 0.555487 | − | 1.76936i | ||||
\(288\) | −62.6899 | + | 123.036i | −0.0128265 | + | 0.0251735i | ||||
\(289\) | 3394.41 | − | 3056.34i | 0.690903 | − | 0.622092i | ||||
\(290\) | 618.601 | − | 147.503i | 0.125260 | − | 0.0298678i | ||||
\(291\) | −1850.51 | + | 2055.20i | −0.372780 | + | 0.414014i | ||||
\(292\) | −819.343 | + | 1011.80i | −0.164207 | + | 0.202779i | ||||
\(293\) | 683.981 | − | 683.981i | 0.136377 | − | 0.136377i | −0.635623 | − | 0.772000i | \(-0.719257\pi\) |
0.772000 | + | 0.635623i | \(0.219257\pi\) | |||||||
\(294\) | −1218.91 | + | 1749.93i | −0.241797 | + | 0.347135i | ||||
\(295\) | −5151.29 | + | 946.505i | −1.01668 | + | 0.186806i | ||||
\(296\) | −1854.94 | + | 825.872i | −0.364244 | + | 0.162172i | ||||
\(297\) | 2835.25 | − | 2295.94i | 0.553932 | − | 0.448565i | ||||
\(298\) | −1022.43 | − | 663.975i | −0.198751 | − | 0.129071i | ||||
\(299\) | 47.1125 | − | 81.6012i | 0.00911233 | − | 0.0157830i | ||||
\(300\) | 2804.94 | − | 3095.91i | 0.539810 | − | 0.595808i | ||||
\(301\) | 2356.56 | − | 397.333i | 0.451262 | − | 0.0760860i | ||||
\(302\) | 490.139 | + | 961.952i | 0.0933918 | + | 0.183292i | ||||
\(303\) | −4245.75 | − | 1629.79i | −0.804990 | − | 0.309007i | ||||
\(304\) | −421.567 | + | 4010.94i | −0.0795347 | + | 0.756722i | ||||
\(305\) | 7355.61 | − | 567.466i | 1.38092 | − | 0.106534i | ||||
\(306\) | −17.3611 | + | 1.82472i | −0.00324336 | + | 0.000340890i | ||||
\(307\) | 3955.28 | + | 3955.28i | 0.735309 | + | 0.735309i | 0.971666 | − | 0.236357i | \(-0.0759535\pi\) |
−0.236357 | + | 0.971666i | \(0.575953\pi\) | |||||||
\(308\) | −1523.26 | + | 2700.10i | −0.281805 | + | 0.499521i | ||||
\(309\) | 2985.41 | − | 970.019i | 0.549625 | − | 0.178584i | ||||
\(310\) | 1365.28 | − | 648.616i | 0.250137 | − | 0.118835i | ||||
\(311\) | 98.8903 | + | 465.242i | 0.0180307 | + | 0.0848279i | 0.986243 | − | 0.165302i | \(-0.0528600\pi\) |
−0.968212 | + | 0.250130i | \(0.919527\pi\) | |||||||
\(312\) | 11.7346 | + | 223.909i | 0.00212929 | + | 0.0406293i | ||||
\(313\) | −8283.24 | + | 5379.20i | −1.49584 | + | 0.971407i | −0.501496 | + | 0.865160i | \(0.667217\pi\) |
−0.994340 | + | 0.106247i | \(0.966116\pi\) | |||||||
\(314\) | 906.716 | − | 2790.59i | 0.162958 | − | 0.501535i | ||||
\(315\) | −13.9124 | − | 159.599i | −0.00248849 | − | 0.0285473i | ||||
\(316\) | 2618.46 | + | 8058.80i | 0.466139 | + | 1.43463i | ||||
\(317\) | 5221.61 | + | 4228.38i | 0.925158 | + | 0.749178i | 0.968274 | − | 0.249892i | \(-0.0803952\pi\) |
−0.0431160 | + | 0.999070i | \(0.513729\pi\) | |||||||
\(318\) | 1794.02 | + | 480.707i | 0.316364 | + | 0.0847695i | ||||
\(319\) | −488.783 | + | 1097.83i | −0.0857887 | + | 0.192685i | ||||
\(320\) | −187.607 | − | 273.876i | −0.0327736 | − | 0.0478441i | ||||
\(321\) | 2065.23 | − | 2842.55i | 0.359096 | − | 0.494254i | ||||
\(322\) | 639.857 | + | 564.696i | 0.110739 | + | 0.0977307i | ||||
\(323\) | −2168.45 | + | 1104.88i | −0.373547 | + | 0.190332i | ||||
\(324\) | −3998.64 | − | 2308.62i | −0.685638 | − | 0.395853i | ||||
\(325\) | −65.4576 | + | 303.342i | −0.0111721 | + | 0.0517735i | ||||
\(326\) | 939.883 | + | 1627.93i | 0.159679 | + | 0.276572i | ||||
\(327\) | −269.252 | + | 5137.64i | −0.0455342 | + | 0.868844i | ||||
\(328\) | 8480.44 | − | 1343.17i | 1.42760 | − | 0.226110i | ||||
\(329\) | 3329.85 | − | 2209.87i | 0.557995 | − | 0.370317i | ||||
\(330\) | −322.221 | − | 1753.66i | −0.0537505 | − | 0.292533i | ||||
\(331\) | −1029.51 | − | 9795.12i | −0.170957 | − | 1.62655i | −0.657892 | − | 0.753113i | \(-0.728552\pi\) |
0.486934 | − | 0.873439i | \(-0.338115\pi\) | |||||||
\(332\) | 655.810 | − | 2447.52i | 0.108410 | − | 0.404593i | ||||
\(333\) | 31.9233 | + | 83.1629i | 0.00525340 | + | 0.0136856i | ||||
\(334\) | 3783.66 | + | 804.241i | 0.619858 | + | 0.131755i | ||||
\(335\) | −1638.40 | − | 488.070i | −0.267209 | − | 0.0796003i | ||||
\(336\) | 2889.39 | + | 428.190i | 0.469135 | + | 0.0695229i | ||||
\(337\) | 3430.36 | + | 1747.85i | 0.554491 | + | 0.282527i | 0.708699 | − | 0.705511i | \(-0.249283\pi\) |
−0.154208 | + | 0.988038i | \(0.549283\pi\) | |||||||
\(338\) | 1448.66 | + | 2230.74i | 0.233126 | + | 0.358982i | ||||
\(339\) | 7207.52 | − | 1532.01i | 1.15475 | − | 0.245449i | ||||
\(340\) | 520.838 | − | 1251.94i | 0.0830777 | − | 0.199694i | ||||
\(341\) | −593.849 | + | 2793.84i | −0.0943071 | + | 0.443680i | ||||
\(342\) | −121.496 | − | 19.2431i | −0.0192098 | − | 0.00304254i | ||||
\(343\) | −6097.47 | − | 1781.71i | −0.959861 | − | 0.280476i | ||||
\(344\) | 1337.61 | + | 1841.07i | 0.209649 | + | 0.288557i | ||||
\(345\) | 2172.29 | + | 60.2419i | 0.338991 | + | 0.00940092i | ||||
\(346\) | 2571.51 | + | 270.276i | 0.399552 | + | 0.0419946i | ||||
\(347\) | 5397.98 | + | 6665.95i | 0.835097 | + | 1.03126i | 0.998997 | + | 0.0447819i | \(0.0142593\pi\) |
−0.163900 | + | 0.986477i | \(0.552407\pi\) | |||||||
\(348\) | 1563.64 | + | 81.9471i | 0.240862 | + | 0.0126231i | ||||
\(349\) | −7516.66 | −1.15289 | −0.576444 | − | 0.817137i | \(-0.695560\pi\) | ||||
−0.576444 | + | 0.817137i | \(0.695560\pi\) | |||||||
\(350\) | −2575.43 | − | 1125.53i | −0.393321 | − | 0.171892i | ||||
\(351\) | 353.108 | 0.0536966 | ||||||||
\(352\) | −4571.61 | − | 239.588i | −0.692238 | − | 0.0362786i | ||||
\(353\) | −3334.53 | − | 4117.80i | −0.502774 | − | 0.620874i | 0.461063 | − | 0.887367i | \(-0.347468\pi\) |
−0.963837 | + | 0.266494i | \(0.914135\pi\) | |||||||
\(354\) | 2896.68 | + | 304.453i | 0.434906 | + | 0.0457105i | ||||
\(355\) | −2177.90 | − | 7394.39i | −0.325608 | − | 1.10550i | ||||
\(356\) | 5746.87 | + | 7909.89i | 0.855571 | + | 1.17759i | ||||
\(357\) | 732.920 | + | 1603.02i | 0.108656 | + | 0.237649i | ||||
\(358\) | −123.016 | − | 19.4838i | −0.0181608 | − | 0.00287639i | ||||
\(359\) | 1046.17 | − | 4921.85i | 0.153802 | − | 0.723581i | −0.831879 | − | 0.554957i | \(-0.812735\pi\) |
0.985681 | − | 0.168623i | \(-0.0539321\pi\) | |||||||
\(360\) | 130.196 | − | 79.5075i | 0.0190609 | − | 0.0116400i | ||||
\(361\) | −10065.5 | + | 2139.49i | −1.46749 | + | 0.311925i | ||||
\(362\) | 405.977 | + | 625.150i | 0.0589439 | + | 0.0907656i | ||||
\(363\) | −3071.27 | − | 1564.89i | −0.444076 | − | 0.226268i | ||||
\(364\) | −279.041 | + | 110.314i | −0.0401805 | + | 0.0158846i | ||||
\(365\) | 2103.70 | − | 741.304i | 0.301679 | − | 0.106306i | ||||
\(366\) | −4013.03 | − | 852.995i | −0.573126 | − | 0.121822i | ||||
\(367\) | 496.848 | + | 1294.33i | 0.0706683 | + | 0.184097i | 0.964366 | − | 0.264573i | \(-0.0852311\pi\) |
−0.893697 | + | 0.448670i | \(0.851898\pi\) | |||||||
\(368\) | 302.528 | − | 1129.05i | 0.0428542 | − | 0.159934i | ||||
\(369\) | −39.3742 | − | 374.620i | −0.00555485 | − | 0.0528508i | ||||
\(370\) | 1549.13 | + | 206.382i | 0.217663 | + | 0.0289981i | ||||
\(371\) | 344.537 | + | 5521.69i | 0.0482143 | + | 0.772701i | ||||
\(372\) | 3675.76 | − | 582.184i | 0.512310 | − | 0.0811420i | ||||
\(373\) | −242.460 | + | 4626.41i | −0.0336571 | + | 0.642215i | 0.928767 | + | 0.370664i | \(0.120870\pi\) |
−0.962424 | + | 0.271551i | \(0.912463\pi\) | |||||||
\(374\) | −289.365 | − | 501.195i | −0.0400073 | − | 0.0692946i | ||||
\(375\) | −6871.66 | + | 2000.88i | −0.946269 | + | 0.275534i | ||||
\(376\) | 3295.71 | + | 1902.78i | 0.452029 | + | 0.260979i | ||||
\(377\) | −103.634 | + | 52.8043i | −0.0141577 | + | 0.00721368i | ||||
\(378\) | −633.750 | + | 3134.71i | −0.0862343 | + | 0.426540i | ||||
\(379\) | −987.652 | + | 1359.39i | −0.133858 | + | 0.184240i | −0.870684 | − | 0.491842i | \(-0.836324\pi\) |
0.736826 | + | 0.676082i | \(0.236324\pi\) | |||||||
\(380\) | 5828.38 | − | 7571.44i | 0.786814 | − | 1.02212i | ||||
\(381\) | −3414.62 | + | 7669.36i | −0.459150 | + | 1.03127i | ||||
\(382\) | −8.98271 | − | 2.40691i | −0.00120313 | − | 0.000322378i | ||||
\(383\) | −6571.67 | − | 5321.63i | −0.876753 | − | 0.709981i | 0.0812635 | − | 0.996693i | \(-0.474104\pi\) |
−0.958017 | + | 0.286712i | \(0.907438\pi\) | |||||||
\(384\) | 2316.59 | + | 7129.72i | 0.307859 | + | 0.947493i | ||||
\(385\) | 4646.04 | − | 2573.43i | 0.615024 | − | 0.340660i | ||||
\(386\) | −1022.62 | + | 3147.29i | −0.134844 | + | 0.415007i | ||||
\(387\) | 83.7301 | − | 54.3750i | 0.0109980 | − | 0.00714221i | ||||
\(388\) | −184.442 | − | 3519.37i | −0.0241331 | − | 0.460487i | ||||
\(389\) | −1038.18 | − | 4884.23i | −0.135315 | − | 0.636608i | −0.992566 | − | 0.121708i | \(-0.961163\pi\) |
0.857251 | − | 0.514899i | \(-0.172171\pi\) | |||||||
\(390\) | 82.5794 | − | 151.534i | 0.0107220 | − | 0.0196749i | ||||
\(391\) | 670.828 | − | 217.965i | 0.0867653 | − | 0.0281917i | ||||
\(392\) | −1065.06 | − | 5954.55i | −0.137228 | − | 0.767220i | ||||
\(393\) | 8282.26 | + | 8282.26i | 1.06307 | + | 1.06307i | ||||
\(394\) | 4293.47 | − | 451.262i | 0.548989 | − | 0.0577011i | ||||
\(395\) | 3410.69 | − | 14110.5i | 0.434456 | − | 1.79740i | ||||
\(396\) | −13.5376 | + | 128.801i | −0.00171790 | + | 0.0163447i | ||||
\(397\) | 10785.8 | + | 4140.27i | 1.36353 | + | 0.523411i | 0.926588 | − | 0.376077i | \(-0.122727\pi\) |
0.436944 | + | 0.899489i | \(0.356061\pi\) | |||||||
\(398\) | −1632.51 | − | 3203.97i | −0.205603 | − | 0.403519i | ||||
\(399\) | 2065.04 | + | 12247.7i | 0.259101 | + | 1.53672i | ||||
\(400\) | 189.594 | + | 3844.95i | 0.0236992 | + | 0.480619i | ||||
\(401\) | 1246.03 | − | 2158.19i | 0.155171 | − | 0.268765i | −0.777950 | − | 0.628326i | \(-0.783740\pi\) |
0.933121 | + | 0.359561i | \(0.117074\pi\) | |||||||
\(402\) | 797.321 | + | 517.786i | 0.0989222 | + | 0.0642409i | ||||
\(403\) | −214.842 | + | 173.975i | −0.0265559 | + | 0.0215046i | ||||
\(404\) | 5294.35 | − | 2357.20i | 0.651989 | − | 0.290284i | ||||
\(405\) | 3763.69 | + | 6957.46i | 0.461775 | + | 0.853627i | ||||
\(406\) | −282.768 | − | 1014.78i | −0.0345654 | − | 0.124046i | ||||
\(407\) | −2088.22 | + | 2088.22i | −0.254323 | + | 0.254323i | ||||
\(408\) | −1056.28 | + | 1304.39i | −0.128170 | + | 0.158277i | ||||
\(409\) | −2335.06 | + | 2593.35i | −0.282302 | + | 0.313528i | −0.867573 | − | 0.497310i | \(-0.834321\pi\) |
0.585272 | + | 0.810837i | \(0.300988\pi\) | |||||||
\(410\) | −6101.60 | − | 2538.42i | −0.734967 | − | 0.305765i | ||||
\(411\) | −5810.14 | + | 5231.48i | −0.697307 | + | 0.627858i | ||||
\(412\) | −1816.03 | + | 3564.17i | −0.217159 | + | 0.426199i | ||||
\(413\) | 1888.24 | + | 8468.00i | 0.224974 | + | 1.00892i | ||||
\(414\) | 33.9067 | + | 11.0170i | 0.00402518 | + | 0.00130786i | ||||
\(415\) | −3153.46 | + | 2983.27i | −0.373005 | + | 0.352875i | ||||
\(416\) | −329.274 | − | 296.480i | −0.0388077 | − | 0.0349426i | ||||
\(417\) | 14274.5 | − | 5479.48i | 1.67632 | − | 0.643480i | ||||
\(418\) | −1055.49 | − | 3939.13i | −0.123506 | − | 0.460931i | ||||
\(419\) | −9724.52 | + | 7065.27i | −1.13383 | + | 0.823774i | −0.986247 | − | 0.165276i | \(-0.947148\pi\) |
−0.147580 | + | 0.989050i | \(0.547148\pi\) | |||||||
\(420\) | −5299.78 | − | 4449.89i | −0.615721 | − | 0.516982i | ||||
\(421\) | 11854.4 | + | 8612.70i | 1.37232 | + | 0.997049i | 0.997552 | + | 0.0699299i | \(0.0222776\pi\) |
0.374768 | + | 0.927119i | \(0.377722\pi\) | |||||||
\(422\) | −417.461 | + | 1087.52i | −0.0481557 | + | 0.125450i | ||||
\(423\) | 90.9296 | − | 140.019i | 0.0104519 | − | 0.0160945i | ||||
\(424\) | −4562.39 | + | 2634.10i | −0.522569 | + | 0.301706i | ||||
\(425\) | −1883.58 | + | 1359.63i | −0.214981 | + | 0.155180i | ||||
\(426\) | 4286.74i | 0.487543i | ||||||||
\(427\) | −1398.36 | − | 12140.5i | −0.158481 | − | 1.37593i | ||||
\(428\) | 700.425 | + | 4422.31i | 0.0791036 | + | 0.499440i | ||||
\(429\) | 132.640 | + | 297.913i | 0.0149275 | + | 0.0335277i | ||||
\(430\) | −134.726 | − | 1746.35i | −0.0151095 | − | 0.195852i | ||||
\(431\) | −10551.0 | − | 4697.60i | −1.17917 | − | 0.525001i | −0.278895 | − | 0.960322i | \(-0.589968\pi\) |
−0.900275 | + | 0.435321i | \(0.856635\pi\) | |||||||
\(432\) | 4231.11 | − | 1133.72i | 0.471225 | − | 0.126264i | ||||
\(433\) | 1471.22 | − | 9288.94i | 0.163285 | − | 1.03094i | −0.760864 | − | 0.648911i | \(-0.775225\pi\) |
0.924149 | − | 0.382031i | \(-0.124775\pi\) | |||||||
\(434\) | −1158.87 | − | 2219.50i | −0.128174 | − | 0.245483i | ||||
\(435\) | −2208.37 | − | 1522.80i | −0.243410 | − | 0.167845i | ||||
\(436\) | −4386.82 | − | 4872.05i | −0.481859 | − | 0.535158i | ||||
\(437\) | 4963.52 | − | 260.127i | 0.543335 | − | 0.0284750i | ||||
\(438\) | −1238.70 | + | 64.9174i | −0.135131 | + | 0.00708190i | ||||
\(439\) | −4458.10 | − | 4951.22i | −0.484677 | − | 0.538289i | 0.450356 | − | 0.892849i | \(-0.351297\pi\) |
−0.935033 | + | 0.354561i | \(0.884630\pi\) | |||||||
\(440\) | 4163.57 | + | 2871.02i | 0.451115 | + | 0.311070i | ||||
\(441\) | −263.320 | + | 32.9893i | −0.0284332 | + | 0.00356217i | ||||
\(442\) | 8.76250 | − | 55.3243i | 0.000942963 | − | 0.00595364i | ||||
\(443\) | −3304.59 | + | 885.463i | −0.354415 | + | 0.0949653i | −0.431634 | − | 0.902049i | \(-0.642063\pi\) |
0.0772186 | + | 0.997014i | \(0.475396\pi\) | |||||||
\(444\) | 3515.22 | + | 1565.08i | 0.375732 | + | 0.167287i | ||||
\(445\) | −1288.40 | − | 16700.6i | −0.137250 | − | 1.77906i | ||||
\(446\) | 2106.32 | + | 4730.86i | 0.223625 | + | 0.502271i | ||||
\(447\) | 804.447 | + | 5079.08i | 0.0851209 | + | 0.537432i | ||||
\(448\) | −441.646 | + | 327.642i | −0.0465755 | + | 0.0345528i | ||||
\(449\) | − | 7167.74i | − | 0.753377i | −0.926340 | − | 0.376689i | \(-0.877063\pi\) | ||
0.926340 | − | 0.376689i | \(-0.122937\pi\) | |||||||
\(450\) | −117.416 | − | 0.362809i | −0.0123001 | − | 3.80066e-5i | ||||
\(451\) | 10814.9 | − | 6243.98i | 1.12916 | − | 0.651923i | ||||
\(452\) | −5114.10 | + | 7875.03i | −0.532184 | + | 0.819492i | ||||
\(453\) | 1632.01 | − | 4251.54i | 0.169269 | − | 0.440960i | ||||
\(454\) | 5459.00 | + | 3966.19i | 0.564325 | + | 0.410006i | ||||
\(455\) | 506.215 | + | 89.4238i | 0.0521576 | + | 0.00921374i | ||||
\(456\) | −9568.50 | + | 6951.92i | −0.982644 | + | 0.713933i | ||||
\(457\) | 3461.34 | + | 12917.9i | 0.354300 | + | 1.32226i | 0.881364 | + | 0.472438i | \(0.156626\pi\) |
−0.527064 | + | 0.849825i | \(0.676707\pi\) | |||||||
\(458\) | −2330.63 | + | 894.644i | −0.237780 | + | 0.0912751i | ||||
\(459\) | 1964.35 | + | 1768.71i | 0.199756 | + | 0.179861i | ||||
\(460\) | −2011.69 | + | 1903.13i | −0.203904 | + | 0.192899i | ||||
\(461\) | 5660.01 | + | 1839.05i | 0.571828 | + | 0.185798i | 0.580636 | − | 0.814163i | \(-0.302804\pi\) |
−0.00880834 | + | 0.999961i | \(0.502804\pi\) | |||||||
\(462\) | −2882.78 | + | 642.817i | −0.290301 | + | 0.0647327i | ||||
\(463\) | 4234.41 | − | 8310.50i | 0.425032 | − | 0.834172i | −0.574842 | − | 0.818265i | \(-0.694936\pi\) |
0.999873 | − | 0.0159074i | \(-0.00506369\pi\) | |||||||
\(464\) | −1072.26 | + | 965.464i | −0.107281 | + | 0.0965960i | ||||
\(465\) | −5886.69 | − | 2449.01i | −0.587073 | − | 0.244237i | ||||
\(466\) | 5255.84 | − | 5837.20i | 0.522472 | − | 0.580264i | ||||
\(467\) | 6637.36 | − | 8196.46i | 0.657688 | − | 0.812178i | −0.333763 | − | 0.942657i | \(-0.608318\pi\) |
0.991451 | + | 0.130480i | \(0.0416517\pi\) | |||||||
\(468\) | −8.86360 | + | 8.86360i | −0.000875470 | + | 0.000875470i | ||||
\(469\) | −705.672 | + | 2742.54i | −0.0694774 | + | 0.270019i | ||||
\(470\) | −1393.64 | − | 2576.25i | −0.136774 | − | 0.252838i | ||||
\(471\) | −11306.8 | + | 5034.13i | −1.10614 | + | 0.492485i | ||||
\(472\) | −6420.47 | + | 5199.19i | −0.626114 | + | 0.507017i | ||||
\(473\) | 2775.85 | + | 1802.66i | 0.269839 | + | 0.175235i | ||||
\(474\) | −4036.47 | + | 6991.36i | −0.391141 | + | 0.677477i | ||||
\(475\) | −15300.3 | + | 5819.04i | −1.47795 | + | 0.562097i | ||||
\(476\) | −2104.87 | − | 784.031i | −0.202682 | − | 0.0754958i | ||||
\(477\) | 104.927 | + | 205.931i | 0.0100719 | + | 0.0197672i | ||||
\(478\) | 2715.87 | + | 1042.52i | 0.259876 | + | 0.0997572i | ||||
\(479\) | −581.674 | + | 5534.26i | −0.0554851 | + | 0.527905i | 0.931112 | + | 0.364732i | \(0.118840\pi\) |
−0.986597 | + | 0.163173i | \(0.947827\pi\) | |||||||
\(480\) | 2400.89 | − | 9932.82i | 0.228303 | − | 0.944519i | ||||
\(481\) | −284.267 | + | 29.8776i | −0.0269469 | + | 0.00283223i | ||||
\(482\) | −1461.00 | − | 1461.00i | −0.138064 | − | 0.138064i | ||||
\(483\) | −35.8404 | − | 3599.60i | −0.00337638 | − | 0.339105i | ||||
\(484\) | 4177.56 | − | 1357.37i | 0.392332 | − | 0.127477i | ||||
\(485\) | −2889.11 | + | 5301.52i | −0.270490 | + | 0.496350i | ||||
\(486\) | 54.7820 | + | 257.729i | 0.00511309 | + | 0.0240552i | ||||
\(487\) | −368.232 | − | 7026.29i | −0.0342633 | − | 0.653782i | −0.960743 | − | 0.277438i | \(-0.910515\pi\) |
0.926480 | − | 0.376344i | \(-0.122819\pi\) | |||||||
\(488\) | 9759.71 | − | 6338.03i | 0.905331 | − | 0.587929i | ||||
\(489\) | 2450.24 | − | 7541.05i | 0.226592 | − | 0.697379i | ||||
\(490\) | −1702.40 | + | 4333.41i | −0.156952 | + | 0.399518i | ||||
\(491\) | −1145.75 | − | 3526.27i | −0.105310 | − | 0.324110i | 0.884493 | − | 0.466553i | \(-0.154504\pi\) |
−0.989803 | + | 0.142443i | \(0.954504\pi\) | |||||||
\(492\) | −12645.2 | − | 10239.9i | −1.15872 | − | 0.938309i | ||||
\(493\) | −841.017 | − | 225.350i | −0.0768306 | − | 0.0205867i | ||||
\(494\) | 160.542 | − | 360.584i | 0.0146217 | − | 0.0328410i | ||||
\(495\) | 135.342 | − | 175.818i | 0.0122892 | − | 0.0159645i | ||||
\(496\) | −2015.75 | + | 2774.45i | −0.182480 | + | 0.251162i | ||||
\(497\) | −12104.2 | + | 4066.57i | −1.09245 | + | 0.367023i | ||||
\(498\) | 2150.95 | − | 1095.96i | 0.193547 | − | 0.0986170i | ||||
\(499\) | −854.347 | − | 493.258i | −0.0766450 | − | 0.0442510i | 0.461188 | − | 0.887303i | \(-0.347423\pi\) |
−0.537833 | + | 0.843052i | \(0.680757\pi\) | |||||||
\(500\) | 4388.97 | − | 7994.89i | 0.392562 | − | 0.715085i | ||||
\(501\) | −8158.29 | − | 14130.6i | −0.727516 | − | 1.26010i | ||||
\(502\) | −85.4606 | + | 1630.69i | −0.00759819 | + | 0.144982i | ||||
\(503\) | −13495.1 | + | 2137.42i | −1.19626 | + | 0.189469i | −0.722616 | − | 0.691249i | \(-0.757061\pi\) |
−0.473641 | + | 0.880718i | \(0.657061\pi\) | |||||||
\(504\) | −139.736 | − | 210.555i | −0.0123498 | − | 0.0186088i | ||||
\(505\) | −9841.68 | − | 1311.15i | −0.867225 | − | 0.115536i | ||||
\(506\) | 123.546 | + | 1175.46i | 0.0108543 | + | 0.103272i | ||||
\(507\) | 2903.85 | − | 10837.3i | 0.254368 | − | 0.949315i | ||||
\(508\) | −3833.87 | − | 9987.58i | −0.334844 | − | 0.872297i | ||||
\(509\) | 19349.4 | + | 4112.84i | 1.68496 | + | 0.358150i | 0.948119 | − | 0.317914i | \(-0.102982\pi\) |
0.736843 | + | 0.676064i | \(0.236316\pi\) | |||||||
\(510\) | 1218.42 | − | 429.348i | 0.105789 | − | 0.0372782i | ||||
\(511\) | −1358.38 | − | 3436.05i | −0.117595 | − | 0.297460i | ||||
\(512\) | −8768.86 | − | 4467.96i | −0.756900 | − | 0.385660i | ||||
\(513\) | 10144.6 | + | 15621.3i | 0.873091 | + | 1.34444i | ||||
\(514\) | −78.1728 | + | 16.6161i | −0.00670827 | + | 0.00142589i | ||||
\(515\) | 5848.72 | − | 3571.68i | 0.500437 | − | 0.305606i | ||||
\(516\) | 896.631 | − | 4218.32i | 0.0764961 | − | 0.359886i | ||||
\(517\) | 5466.77 | + | 865.851i | 0.465045 | + | 0.0736559i | ||||
\(518\) | 244.957 | − | 2577.19i | 0.0207776 | − | 0.218601i | ||||
\(519\) | −6410.82 | − | 8823.74i | −0.542204 | − | 0.746279i | ||||
\(520\) | 138.300 | + | 469.557i | 0.0116632 | + | 0.0395989i | ||||
\(521\) | 5937.76 | + | 624.084i | 0.499305 | + | 0.0524791i | 0.350834 | − | 0.936438i | \(-0.385898\pi\) |
0.148471 | + | 0.988917i | \(0.452565\pi\) | |||||||
\(522\) | −27.6954 | − | 34.2010i | −0.00232221 | − | 0.00286769i | ||||
\(523\) | 2083.82 | + | 109.209i | 0.174224 | + | 0.00913071i | 0.139249 | − | 0.990257i | \(-0.455531\pi\) |
0.0349757 | + | 0.999388i | \(0.488865\pi\) | |||||||
\(524\) | −14926.0 | −1.24436 | ||||||||
\(525\) | 3740.93 | + | 11250.0i | 0.310986 | + | 0.935218i | ||||
\(526\) | 3785.44 | 0.313789 | ||||||||
\(527\) | −2066.61 | − | 108.307i | −0.170822 | − | 0.00895239i | ||||
\(528\) | 2545.86 | + | 3143.87i | 0.209838 | + | 0.259128i | ||||
\(529\) | 10667.7 | + | 1121.22i | 0.876774 | + | 0.0921527i | ||||
\(530\) | 4053.25 | + | 112.405i | 0.332192 | + | 0.00921237i | ||||
\(531\) | 213.040 | + | 293.225i | 0.0174108 | + | 0.0239640i | ||||
\(532\) | −12896.9 | − | 9175.37i | −1.05104 | − | 0.747750i | ||||
\(533\) | 1193.80 | + | 189.079i | 0.0970152 | + | 0.0153657i | ||||
\(534\) | −1936.68 | + | 9111.38i | −0.156945 | + | 0.738367i | ||||
\(535\) | 2946.40 | − | 7082.28i | 0.238101 | − | 0.572325i | ||||
\(536\) | −2637.69 | + | 560.659i | −0.212558 | + | 0.0451805i | ||||
\(537\) | 286.135 | + | 440.609i | 0.0229937 | + | 0.0354072i | ||||
\(538\) | −547.146 | − | 278.785i | −0.0438460 | − | 0.0223407i | ||||
\(539\) | −4549.80 | − | 7530.12i | −0.363588 | − | 0.601754i | ||||
\(540\) | −9945.87 | − | 2962.82i | −0.792597 | − | 0.236110i | ||||
\(541\) | 2559.44 | + | 544.026i | 0.203399 | + | 0.0432338i | 0.308484 | − | 0.951229i | \(-0.400178\pi\) |
−0.105085 | + | 0.994463i | \(0.533512\pi\) | |||||||
\(542\) | 2552.80 | + | 6650.27i | 0.202310 | + | 0.527036i | ||||
\(543\) | 813.787 | − | 3037.09i | 0.0643148 | − | 0.240026i | ||||
\(544\) | −346.703 | − | 3298.66i | −0.0273249 | − | 0.259979i | ||||
\(545\) | 2029.75 | + | 11046.8i | 0.159532 | + | 0.868242i | ||||
\(546\) | −255.991 | − | 127.240i | −0.0200648 | − | 0.00997317i | ||||
\(547\) | 19761.4 | − | 3129.89i | 1.54467 | − | 0.244652i | 0.674826 | − | 0.737977i | \(-0.264219\pi\) |
0.869845 | + | 0.493325i | \(0.164219\pi\) | |||||||
\(548\) | 521.427 | − | 9949.41i | 0.0406464 | − | 0.775580i | ||||
\(549\) | −255.267 | − | 442.135i | −0.0198443 | − | 0.0343713i | ||||
\(550\) | −1572.28 | − | 3560.97i | −0.121895 | − | 0.276073i | ||||
\(551\) | −5313.39 | − | 3067.69i | −0.410813 | − | 0.237183i | ||||
\(552\) | 3054.24 | − | 1556.21i | 0.235502 | − | 0.119994i | ||||
\(553\) | −23570.2 | − | 4765.24i | −1.81249 | − | 0.366435i | ||||
\(554\) | 2542.45 | − | 3499.39i | 0.194979 | − | 0.268366i | ||||
\(555\) | −3725.46 | − | 5438.56i | −0.284931 | − | 0.415953i | ||||
\(556\) | −7925.07 | + | 17800.0i | −0.604492 | + | 1.35771i | ||||
\(557\) | −15818.5 | − | 4238.54i | −1.20332 | − | 0.322429i | −0.399182 | − | 0.916871i | \(-0.630706\pi\) |
−0.804138 | + | 0.594443i | \(0.797373\pi\) | |||||||
\(558\) | −81.2891 | − | 65.8266i | −0.00616710 | − | 0.00499402i | ||||
\(559\) | 98.9934 | + | 304.670i | 0.00749011 | + | 0.0230522i | ||||
\(560\) | 6352.82 | − | 553.782i | 0.479385 | − | 0.0417885i | ||||
\(561\) | −754.363 | + | 2321.69i | −0.0567723 | + | 0.174727i | ||||
\(562\) | 4924.62 | − | 3198.09i | 0.369631 | − | 0.240041i | ||||
\(563\) | 468.384 | + | 8937.30i | 0.0350622 | + | 0.669027i | 0.958468 | + | 0.285201i | \(0.0920604\pi\) |
−0.923405 | + | 0.383826i | \(0.874606\pi\) | |||||||
\(564\) | −1499.41 | − | 7054.17i | −0.111944 | − | 0.526656i | ||||
\(565\) | 14530.3 | − | 6903.08i | 1.08194 | − | 0.514008i | ||||
\(566\) | 1300.70 | − | 422.625i | 0.0965949 | − | 0.0313856i | ||||
\(567\) | 11282.0 | − | 6664.31i | 0.835625 | − | 0.493606i | ||||
\(568\) | −8597.85 | − | 8597.85i | −0.635137 | − | 0.635137i | ||||
\(569\) | 12408.1 | − | 1304.15i | 0.914193 | − | 0.0960856i | 0.364263 | − | 0.931296i | \(-0.381321\pi\) |
0.549930 | + | 0.835211i | \(0.314654\pi\) | |||||||
\(570\) | 9076.24 | − | 700.208i | 0.666951 | − | 0.0514535i | ||||
\(571\) | −925.525 | + | 8805.78i | −0.0678319 | + | 0.645378i | 0.906800 | + | 0.421562i | \(0.138518\pi\) |
−0.974632 | + | 0.223816i | \(0.928149\pi\) | |||||||
\(572\) | −387.964 | − | 148.925i | −0.0283594 | − | 0.0108861i | ||||
\(573\) | 17.8087 | + | 34.9515i | 0.00129838 | + | 0.00254821i | ||||
\(574\) | −3821.14 | + | 10258.5i | −0.277860 | + | 0.745964i | ||||
\(575\) | 4643.64 | − | 972.048i | 0.336788 | − | 0.0704995i | ||||
\(576\) | −11.4865 | + | 19.8951i | −0.000830907 | + | 0.00143917i | ||||
\(577\) | 6618.41 | + | 4298.05i | 0.477519 | + | 0.310104i | 0.760861 | − | 0.648915i | \(-0.224777\pi\) |
−0.283343 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(578\) | −4309.63 | + | 3489.87i | −0.310133 | + | 0.251141i | ||||
\(579\) | 12752.1 | − | 5677.61i | 0.915302 | − | 0.407519i | ||||
\(580\) | 3362.10 | − | 617.756i | 0.240696 | − | 0.0442258i | ||||
\(581\) | 5135.08 | + | 5033.83i | 0.366676 | + | 0.359447i | ||||
\(582\) | 2374.17 | − | 2374.17i | 0.169094 | − | 0.169094i | ||||
\(583\) | −4821.99 | + | 5954.67i | −0.342550 | + | 0.423014i | ||||
\(584\) | 2354.23 | − | 2614.64i | 0.166813 | − | 0.185265i | ||||
\(585\) | 20.8893 | − | 4.98096i | 0.00147635 | − | 0.000352030i | ||||
\(586\) | −872.729 | + | 785.808i | −0.0615223 | + | 0.0553950i | ||||
\(587\) | 9548.96 | − | 18740.9i | 0.671427 | − | 1.31775i | −0.264100 | − | 0.964495i | \(-0.585075\pi\) |
0.935527 | − | 0.353255i | \(-0.114925\pi\) | |||||||
\(588\) | −7035.29 | + | 9050.56i | −0.493419 | + | 0.634760i | ||||
\(589\) | −13868.9 | − | 4506.27i | −0.970217 | − | 0.315242i | ||||
\(590\) | 6305.64 | − | 820.244i | 0.439998 | − | 0.0572355i | ||||
\(591\) | −13532.8 | − | 12185.0i | −0.941907 | − | 0.848097i | ||||
\(592\) | −3310.29 | + | 1270.70i | −0.229818 | + | 0.0882187i | ||||
\(593\) | 5639.82 | + | 21048.1i | 0.390556 | + | 1.45757i | 0.829220 | + | 0.558922i | \(0.188785\pi\) |
−0.438664 | + | 0.898651i | \(0.644548\pi\) | |||||||
\(594\) | −3583.38 | + | 2603.48i | −0.247521 | + | 0.179835i | ||||
\(595\) | 2368.17 | + | 3033.09i | 0.163169 | + | 0.208982i | ||||
\(596\) | −5301.54 | − | 3851.80i | −0.364362 | − | 0.264724i | ||||
\(597\) | −5435.75 | + | 14160.6i | −0.372647 | + | 0.970779i | ||||
\(598\) | −62.3048 | + | 95.9410i | −0.00426059 | + | 0.00656073i | ||||
\(599\) | −14249.2 | + | 8226.80i | −0.971967 | + | 0.561165i | −0.899835 | − | 0.436230i | \(-0.856313\pi\) |
−0.0721315 | + | 0.997395i | \(0.522980\pi\) | |||||||
\(600\) | −8007.45 | + | 7958.12i | −0.544838 | + | 0.541482i | ||||
\(601\) | 10749.0i | 0.729549i | 0.931096 | + | 0.364775i | \(0.118854\pi\) | ||||
−0.931096 | + | 0.364775i | \(0.881146\pi\) | |||||||
\(602\) | −2882.37 | + | 331.996i | −0.195144 | + | 0.0224770i | ||||
\(603\) | 18.5068 | + | 116.847i | 0.00124984 | + | 0.00789119i | ||||
\(604\) | 2360.41 | + | 5301.57i | 0.159013 | + | 0.357148i | ||||
\(605\) | −7314.64 | − | 1768.05i | −0.491541 | − | 0.118812i | ||||
\(606\) | 5044.05 | + | 2245.76i | 0.338120 | + | 0.150541i | ||||
\(607\) | −20269.1 | + | 5431.09i | −1.35535 | + | 0.363165i | −0.862107 | − | 0.506726i | \(-0.830855\pi\) |
−0.493243 | + | 0.869891i | \(0.664189\pi\) | |||||||
\(608\) | 3656.25 | − | 23084.7i | 0.243882 | − | 1.53981i | ||||
\(609\) | −2382.92 | + | 3750.61i | −0.158556 | + | 0.249560i | ||||
\(610\) | −8954.11 | + | 220.629i | −0.594330 | + | 0.0146443i | ||||
\(611\) | 358.460 | + | 398.110i | 0.0237344 | + | 0.0263598i | ||||
\(612\) | −93.7062 | + | 4.91093i | −0.00618929 | + | 0.000324367i | ||||
\(613\) | −3911.31 | + | 204.983i | −0.257710 | + | 0.0135060i | −0.180753 | − | 0.983528i | \(-0.557854\pi\) |
−0.0769566 | + | 0.997034i | \(0.524520\pi\) | |||||||
\(614\) | −4544.12 | − | 5046.76i | −0.298674 | − | 0.331711i | ||||
\(615\) | 9264.56 | + | 26291.3i | 0.607452 | + | 1.72385i | ||||
\(616\) | 4492.66 | − | 7071.23i | 0.293854 | − | 0.462513i | ||||
\(617\) | −3639.71 | + | 22980.2i | −0.237487 | + | 1.49943i | 0.524261 | + | 0.851557i | \(0.324342\pi\) |
−0.761748 | + | 0.647874i | \(0.775658\pi\) | |||||||
\(618\) | −3681.19 | + | 986.372i | −0.239610 | + | 0.0642034i | ||||
\(619\) | 23214.8 | + | 10335.9i | 1.50740 | + | 0.671138i | 0.983544 | − | 0.180669i | \(-0.0578263\pi\) |
0.523856 | + | 0.851807i | \(0.324493\pi\) | |||||||
\(620\) | 7511.15 | − | 3097.63i | 0.486541 | − | 0.200652i | ||||
\(621\) | −2195.72 | − | 4931.66i | −0.141886 | − | 0.318681i | ||||
\(622\) | −90.3345 | − | 570.350i | −0.00582329 | − | 0.0367668i | ||||
\(623\) | −27564.5 | + | 3174.92i | −1.77263 | + | 0.204174i | ||||
\(624\) | 391.545i | 0.0251191i | ||||||||
\(625\) | −13579.7 | + | 7728.73i | −0.869099 | + | 0.494639i | ||||
\(626\) | 10384.5 | − | 5995.50i | 0.663017 | − | 0.382793i | ||||
\(627\) | −9368.88 | + | 14426.8i | −0.596741 | + | 0.918901i | ||||
\(628\) | 5652.23 | − | 14724.6i | 0.359153 | − | 0.935627i | ||||
\(629\) | −1731.04 | − | 1257.68i | −0.109732 | − | 0.0797247i | ||||
\(630\) | 6.72670 | + | 194.384i | 0.000425394 | + | 0.0122928i | ||||
\(631\) | 22654.1 | − | 16459.1i | 1.42923 | − | 1.03840i | 0.439070 | − | 0.898453i | \(-0.355308\pi\) |
0.990160 | − | 0.139943i | \(-0.0446919\pi\) | |||||||
\(632\) | −5926.60 | − | 22118.4i | −0.373018 | − | 1.39212i | ||||
\(633\) | 4587.34 | − | 1760.91i | 0.288042 | − | 0.110569i | ||||
\(634\) | −6062.09 | − | 5458.33i | −0.379742 | − | 0.341921i | ||||
\(635\) | −3367.85 | + | 18015.9i | −0.210471 | + | 1.12589i | ||||
\(636\) | 9494.93 | + | 3085.09i | 0.591979 | + | 0.192346i | ||||
\(637\) | 116.436 | − | 843.531i | 0.00724230 | − | 0.0524677i | ||||
\(638\) | 662.364 | − | 1299.96i | 0.0411022 | − | 0.0806677i | ||||
\(639\) | −396.422 | + | 356.940i | −0.0245418 | + | 0.0220975i | ||||
\(640\) | 8529.84 | + | 13967.8i | 0.526831 | + | 0.862699i | ||||
\(641\) | 10964.3 | − | 12177.1i | 0.675610 | − | 0.750340i | −0.303687 | − | 0.952772i | \(-0.598218\pi\) |
0.979296 | + | 0.202431i | \(0.0648843\pi\) | |||||||
\(642\) | −2684.53 | + | 3315.12i | −0.165031 | + | 0.203796i | ||||
\(643\) | −15931.6 | + | 15931.6i | −0.977107 | + | 0.977107i | −0.999744 | − | 0.0226372i | \(-0.992794\pi\) |
0.0226372 | + | 0.999744i | \(0.492794\pi\) | |||||||
\(644\) | 3275.84 | + | 3211.25i | 0.200444 | + | 0.196492i | ||||
\(645\) | −5094.01 | + | 5351.39i | −0.310971 | + | 0.326683i | ||||
\(646\) | 2699.26 | − | 1201.79i | 0.164398 | − | 0.0731947i | ||||
\(647\) | 13874.1 | − | 11235.0i | 0.843041 | − | 0.682681i | −0.107186 | − | 0.994239i | \(-0.534184\pi\) |
0.950227 | + | 0.311558i | \(0.100851\pi\) | |||||||
\(648\) | 10464.5 | + | 6795.72i | 0.634389 | + | 0.411977i | ||||
\(649\) | −6007.96 | + | 10406.1i | −0.363379 | + | 0.629391i | ||||
\(650\) | 98.6360 | − | 363.617i | 0.00595204 | − | 0.0219419i | ||||
\(651\) | −3686.55 | + | 9897.23i | −0.221947 | + | 0.595857i | ||||
\(652\) | 4587.25 | + | 9002.98i | 0.275537 | + | 0.540773i | ||||
\(653\) | 25378.5 | + | 9741.89i | 1.52088 | + | 0.583813i | 0.968332 | − | 0.249666i | \(-0.0803208\pi\) |
0.552552 | + | 0.833478i | \(0.313654\pi\) | |||||||
\(654\) | 652.890 | − | 6211.84i | 0.0390368 | − | 0.371410i | ||||
\(655\) | 21782.3 | + | 13394.6i | 1.29940 | + | 0.799037i | ||||
\(656\) | 14911.7 | − | 1567.28i | 0.887507 | − | 0.0932808i | ||||
\(657\) | −109.145 | − | 109.145i | −0.00648119 | − | 0.00648119i | ||||
\(658\) | −4177.57 | + | 2467.70i | −0.247506 | + | 0.146202i | ||||
\(659\) | 8004.27 | − | 2600.74i | 0.473144 | − | 0.153734i | −0.0627322 | − | 0.998030i | \(-0.519981\pi\) |
0.535876 | + | 0.844297i | \(0.319981\pi\) | |||||||
\(660\) | −1236.31 | − | 9504.16i | −0.0729142 | − | 0.560529i | ||||
\(661\) | −5348.60 | − | 25163.2i | −0.314730 | − | 1.48069i | −0.796633 | − | 0.604463i | \(-0.793388\pi\) |
0.481903 | − | 0.876225i | \(-0.339946\pi\) | |||||||
\(662\) | 625.810 | + | 11941.2i | 0.0367414 | + | 0.701067i | ||||
\(663\) | −198.157 | + | 128.685i | −0.0116075 | + | 0.00753800i | ||||
\(664\) | −2115.97 | + | 6512.28i | −0.123668 | + | 0.380611i | ||||
\(665\) | 10587.2 | + | 24963.8i | 0.617375 | + | 1.45572i | ||||
\(666\) | −33.4200 | − | 102.856i | −0.00194445 | − | 0.00598439i | ||||
\(667\) | 1381.91 | + | 1119.05i | 0.0802217 | + | 0.0649622i | ||||
\(668\) | 20084.1 | + | 5381.52i | 1.16329 | + | 0.311703i | ||||
\(669\) | 8884.75 | − | 19955.5i | 0.513459 | − | 1.15325i | ||||
\(670\) | 1955.40 | + | 695.847i | 0.112752 | + | 0.0401237i | ||||
\(671\) | 9948.49 | − | 13692.9i | 0.572365 | − | 0.787793i | ||||
\(672\) | −16591.9 | − | 3354.41i | −0.952449 | − | 0.192558i | ||||
\(673\) | 26170.5 | − | 13334.5i | 1.49896 | − | 0.763756i | 0.503965 | − | 0.863724i | \(-0.331874\pi\) |
0.994991 | + | 0.0999685i | \(0.0318742\pi\) | |||||||
\(674\) | −4047.95 | − | 2337.09i | −0.231337 | − | 0.133563i | ||||
\(675\) | 11855.7 | + | 13249.2i | 0.676040 | + | 0.755500i | ||||
\(676\) | 7148.72 | + | 12381.9i | 0.406732 | + | 0.704480i | ||||
\(677\) | 338.669 | − | 6462.18i | 0.0192261 | − | 0.366857i | −0.972026 | − | 0.234874i | \(-0.924532\pi\) |
0.991252 | − | 0.131983i | \(-0.0421344\pi\) | |||||||
\(678\) | −8835.84 | + | 1399.46i | −0.500499 | + | 0.0792713i | ||||
\(679\) | 8956.04 | + | 4451.58i | 0.506188 | + | 0.251599i | ||||
\(680\) | −1582.63 | + | 3304.91i | −0.0892518 | + | 0.186379i | ||||
\(681\) | −2975.17 | − | 28306.8i | −0.167414 | − | 1.59283i | ||||
\(682\) | 897.511 | − | 3349.56i | 0.0503922 | − | 0.188066i | ||||
\(683\) | −5143.57 | − | 13399.5i | −0.288160 | − | 0.750682i | −0.998885 | − | 0.0472121i | \(-0.984966\pi\) |
0.710725 | − | 0.703470i | \(-0.248367\pi\) | |||||||
\(684\) | −646.768 | − | 137.475i | −0.0361547 | − | 0.00768491i | ||||
\(685\) | −9689.53 | + | 14051.8i | −0.540464 | + | 0.783783i | ||||
\(686\) | 7279.45 | + | 2547.60i | 0.405147 | + | 0.141790i | ||||
\(687\) | 9382.62 | + | 4780.68i | 0.521061 | + | 0.265494i | ||||
\(688\) | 2164.39 | + | 3332.87i | 0.119937 | + | 0.184687i | ||||
\(689\) | −725.402 | + | 154.189i | −0.0401097 | + | 0.00852559i | ||||
\(690\) | −2629.89 | − | 211.065i | −0.145099 | − | 0.0116451i | ||||
\(691\) | −4230.29 | + | 19901.9i | −0.232891 | + | 1.09567i | 0.693895 | + | 0.720076i | \(0.255893\pi\) |
−0.926786 | + | 0.375590i | \(0.877440\pi\) | |||||||
\(692\) | 13727.6 | + | 2174.24i | 0.754111 | + | 0.119439i | ||||
\(693\) | −299.482 | − | 213.064i | −0.0164162 | − | 0.0116791i | ||||
\(694\) | −6121.03 | − | 8424.88i | −0.334800 | − | 0.460813i | ||||
\(695\) | 27539.2 | − | 18864.6i | 1.50305 | − | 1.02960i | ||||
\(696\) | −4208.17 | − | 442.296i | −0.229181 | − | 0.0240879i | ||||
\(697\) | 5694.05 | + | 7031.56i | 0.309437 | + | 0.382122i | ||||
\(698\) | 9113.31 | + | 477.608i | 0.494189 | + | 0.0258993i | ||||
\(699\) | −33132.4 | −1.79282 | ||||||||
\(700\) | −13508.0 | − | 6766.27i | −0.729366 | − | 0.365344i | ||||
\(701\) | −22382.8 | −1.20597 | −0.602987 | − | 0.797751i | \(-0.706023\pi\) | ||||
−0.602987 | + | 0.797751i | \(0.706023\pi\) | |||||||
\(702\) | −428.113 | − | 22.4365i | −0.0230172 | − | 0.00120628i | ||||
\(703\) | −9488.60 | − | 11717.4i | −0.509060 | − | 0.628637i | ||||
\(704\) | −757.434 | − | 79.6095i | −0.0405495 | − | 0.00426193i | ||||
\(705\) | −4142.22 | + | 11640.1i | −0.221284 | + | 0.621832i | ||||
\(706\) | 3781.19 | + | 5204.36i | 0.201568 | + | 0.277434i | ||||
\(707\) | −1556.22 | + | 16373.0i | −0.0827832 | + | 0.870962i | ||||
\(708\) | 15463.5 | + | 2449.18i | 0.820838 | + | 0.130008i | ||||
\(709\) | −3523.55 | + | 16577.0i | −0.186643 | + | 0.878085i | 0.780758 | + | 0.624834i | \(0.214833\pi\) |
−0.967400 | + | 0.253251i | \(0.918500\pi\) | |||||||
\(710\) | 2170.67 | + | 9103.44i | 0.114738 | + | 0.481192i | ||||
\(711\) | −982.635 | + | 208.866i | −0.0518308 | + | 0.0110170i | ||||
\(712\) | −14390.2 | − | 22158.9i | −0.757437 | − | 1.16635i | ||||
\(713\) | 3765.76 | + | 1918.75i | 0.197796 | + | 0.100782i | ||||
\(714\) | −786.747 | − | 1990.09i | −0.0412371 | − | 0.104310i | ||||
\(715\) | 432.531 | + | 565.493i | 0.0226234 | + | 0.0295779i | ||||
\(716\) | −654.856 | − | 139.194i | −0.0341803 | − | 0.00726526i | ||||
\(717\) | −4397.52 | − | 11455.9i | −0.229049 | − | 0.596694i | ||||
\(718\) | −1581.13 | + | 5900.85i | −0.0821827 | + | 0.306710i | ||||
\(719\) | 44.0320 | + | 418.937i | 0.00228389 | + | 0.0217298i | 0.995604 | − | 0.0936573i | \(-0.0298558\pi\) |
−0.993321 | + | 0.115387i | \(0.963189\pi\) | |||||||
\(720\) | 234.313 | − | 126.753i | 0.0121283 | − | 0.00656086i | ||||
\(721\) | −6277.28 | − | 9458.65i | −0.324242 | − | 0.488569i | ||||
\(722\) | 12339.5 | − | 1954.39i | 0.636052 | − | 0.100741i | ||||
\(723\) | −456.130 | + | 8703.48i | −0.0234629 | + | 0.447698i | ||||
\(724\) | 2003.38 | + | 3469.96i | 0.102839 | + | 0.178122i | ||||
\(725\) | −5460.86 | − | 2115.61i | −0.279740 | − | 0.108375i | ||||
\(726\) | 3624.21 | + | 2092.44i | 0.185272 | + | 0.106967i | ||||
\(727\) | 2283.41 | − | 1163.46i | 0.116488 | − | 0.0593538i | −0.394775 | − | 0.918778i | \(-0.629178\pi\) |
0.511264 | + | 0.859424i | \(0.329178\pi\) | |||||||
\(728\) | 768.640 | − | 258.235i | 0.0391314 | − | 0.0131467i | ||||
\(729\) | 11881.6 | − | 16353.7i | 0.603649 | − | 0.830852i | ||||
\(730\) | −2597.66 | + | 765.099i | −0.131704 | + | 0.0387912i | ||||
\(731\) | −975.384 | + | 2190.75i | −0.0493514 | + | 0.110845i | ||||
\(732\) | −21301.6 | − | 5707.75i | −1.07559 | − | 0.288203i | ||||
\(733\) | 24734.4 | + | 20029.5i | 1.24636 | + | 1.00929i | 0.999187 | + | 0.0403163i | \(0.0128366\pi\) |
0.247178 | + | 0.968970i | \(0.420497\pi\) | |||||||
\(734\) | −520.144 | − | 1600.84i | −0.0261565 | − | 0.0805014i | ||||
\(735\) | 18388.9 | − | 6894.52i | 0.922838 | − | 0.345997i | ||||
\(736\) | −2093.26 | + | 6442.38i | −0.104835 | + | 0.322648i | ||||
\(737\) | −3289.30 | + | 2136.10i | −0.164400 | + | 0.106763i | ||||
\(738\) | 23.9345 | + | 456.697i | 0.00119382 | + | 0.0227795i | ||||
\(739\) | −6348.50 | − | 29867.4i | −0.316013 | − | 1.48672i | −0.793763 | − | 0.608228i | \(-0.791881\pi\) |
0.477750 | − | 0.878496i | \(-0.341453\pi\) | |||||||
\(740\) | 8257.53 | + | 1543.64i | 0.410207 | + | 0.0766830i | ||||
\(741\) | −1583.45 | + | 514.494i | −0.0785014 | + | 0.0255066i | ||||
\(742\) | −66.8742 | − | 6716.47i | −0.00330866 | − | 0.332304i | ||||
\(743\) | 3798.94 | + | 3798.94i | 0.187577 | + | 0.187577i | 0.794648 | − | 0.607071i | \(-0.207656\pi\) |
−0.607071 | + | 0.794648i | \(0.707656\pi\) | |||||||
\(744\) | −10002.0 | + | 1051.25i | −0.492865 | + | 0.0518021i | ||||
\(745\) | 4280.24 | + | 10378.7i | 0.210491 | + | 0.510399i | ||||
\(746\) | 587.923 | − | 5593.72i | 0.0288544 | − | 0.274532i | ||||
\(747\) | 280.451 | + | 107.655i | 0.0137365 | + | 0.00527295i | ||||
\(748\) | −1412.29 | − | 2771.78i | −0.0690354 | − | 0.135490i | ||||
\(749\) | −11907.4 | − | 4435.30i | −0.580888 | − | 0.216371i | ||||
\(750\) | 8458.44 | − | 1989.27i | 0.411811 | − | 0.0968506i | ||||
\(751\) | 7629.38 | − | 13214.5i | 0.370706 | − | 0.642081i | −0.618969 | − | 0.785416i | \(-0.712449\pi\) |
0.989674 | + | 0.143335i | \(0.0457825\pi\) | |||||||
\(752\) | 5573.45 | + | 3619.44i | 0.270270 | + | 0.175515i | ||||
\(753\) | 5352.91 | − | 4334.70i | 0.259058 | − | 0.209781i | ||||
\(754\) | 129.003 | − | 57.4358i | 0.00623078 | − | 0.00277412i | ||||
\(755\) | 1312.94 | − | 9855.09i | 0.0632885 | − | 0.475051i | ||||
\(756\) | −4283.77 | + | 16648.6i | −0.206084 | + | 0.800929i | ||||
\(757\) | −25053.2 | + | 25053.2i | −1.20287 | + | 1.20287i | −0.229582 | + | 0.973289i | \(0.573736\pi\) |
−0.973289 | + | 0.229582i | \(0.926264\pi\) | |||||||
\(758\) | 1283.82 | − | 1585.38i | 0.0615177 | − | 0.0759680i | ||||
\(759\) | 3336.00 | − | 3705.00i | 0.159538 | − | 0.177185i | ||||
\(760\) | −16799.7 | + | 19608.5i | −0.801827 | + | 0.935888i | ||||
\(761\) | −6237.02 | + | 5615.84i | −0.297098 | + | 0.267509i | −0.804175 | − | 0.594392i | \(-0.797393\pi\) |
0.507077 | + | 0.861901i | \(0.330726\pi\) | |||||||
\(762\) | 4627.24 | − | 9081.48i | 0.219983 | − | 0.431742i | ||||
\(763\) | 18159.4 | − | 4049.27i | 0.861616 | − | 0.192128i | ||||
\(764\) | −47.5413 | − | 15.4471i | −0.00225129 | − | 0.000731488i | ||||
\(765\) | 141.158 | + | 76.9249i | 0.00667133 | + | 0.00363559i | ||||
\(766\) | 7629.45 | + | 6869.59i | 0.359874 | + | 0.324032i | ||||
\(767\) | −1085.75 | + | 416.779i | −0.0511134 | + | 0.0196206i |