Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 74.19 | ||
Character | \(\chi\) | \(=\) | 105.74 |
Dual form | 105.3.o.b.44.19 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.85988 | + | 3.22141i | 0.929941 | + | 1.61071i | 0.783415 | + | 0.621499i | \(0.213476\pi\) |
0.146526 | + | 0.989207i | \(0.453191\pi\) | |||||||
\(3\) | −2.70705 | − | 1.29300i | −0.902351 | − | 0.431001i | ||||
\(4\) | −4.91833 | + | 8.51879i | −1.22958 | + | 2.12970i | ||||
\(5\) | −4.36624 | − | 2.43637i | −0.873249 | − | 0.487275i | ||||
\(6\) | −0.869509 | − | 11.1254i | −0.144918 | − | 1.85423i | ||||
\(7\) | −4.87678 | + | 5.02166i | −0.696682 | + | 0.717380i | ||||
\(8\) | −21.7110 | −2.71387 | ||||||||
\(9\) | 5.65629 | + | 7.00046i | 0.628476 | + | 0.777829i | ||||
\(10\) | −0.272141 | − | 18.5968i | −0.0272141 | − | 1.85968i | ||||
\(11\) | 10.0814 | + | 5.82052i | 0.916494 | + | 0.529138i | 0.882515 | − | 0.470284i | \(-0.155849\pi\) |
0.0339793 | + | 0.999423i | \(0.489182\pi\) | |||||||
\(12\) | 24.3290 | − | 16.7014i | 2.02742 | − | 1.39178i | ||||
\(13\) | 9.22710i | 0.709777i | 0.934909 | + | 0.354888i | \(0.115481\pi\) | ||||
−0.934909 | + | 0.354888i | \(0.884519\pi\) | |||||||
\(14\) | −25.2471 | − | 6.37041i | −1.80336 | − | 0.455029i | ||||
\(15\) | 8.66942 | + | 12.2410i | 0.577961 | + | 0.816064i | ||||
\(16\) | −20.7066 | − | 35.8648i | −1.29416 | − | 2.24155i | ||||
\(17\) | 1.56346 | − | 2.70799i | 0.0919682 | − | 0.159294i | −0.816371 | − | 0.577528i | \(-0.804018\pi\) |
0.908339 | + | 0.418234i | \(0.137351\pi\) | |||||||
\(18\) | −12.0313 | + | 31.2413i | −0.668407 | + | 1.73563i | ||||
\(19\) | 5.39398 | + | 9.34265i | 0.283894 | + | 0.491719i | 0.972340 | − | 0.233569i | \(-0.0750403\pi\) |
−0.688447 | + | 0.725287i | \(0.741707\pi\) | |||||||
\(20\) | 42.2296 | − | 25.2122i | 2.11148 | − | 1.26061i | ||||
\(21\) | 19.6947 | − | 7.28821i | 0.937844 | − | 0.347058i | ||||
\(22\) | 43.3019i | 1.96827i | ||||||||
\(23\) | −2.93334 | − | 5.08070i | −0.127537 | − | 0.220900i | 0.795185 | − | 0.606367i | \(-0.207374\pi\) |
−0.922722 | + | 0.385467i | \(0.874040\pi\) | |||||||
\(24\) | 58.7728 | + | 28.0724i | 2.44887 | + | 1.16968i | ||||
\(25\) | 13.1282 | + | 21.2756i | 0.525127 | + | 0.851024i | ||||
\(26\) | −29.7243 | + | 17.1613i | −1.14324 | + | 0.660051i | ||||
\(27\) | −6.26026 | − | 26.2642i | −0.231861 | − | 0.972749i | ||||
\(28\) | −18.7929 | − | 66.2424i | −0.671174 | − | 2.36580i | ||||
\(29\) | − | 38.3541i | − | 1.32256i | −0.750141 | − | 0.661278i | \(-0.770014\pi\) | ||
0.750141 | − | 0.661278i | \(-0.229986\pi\) | |||||||
\(30\) | −23.3091 | + | 50.6945i | −0.776969 | + | 1.68982i | ||||
\(31\) | −15.7425 | + | 27.2669i | −0.507824 | + | 0.879577i | 0.492135 | + | 0.870519i | \(0.336217\pi\) |
−0.999959 | + | 0.00905794i | \(0.997117\pi\) | |||||||
\(32\) | 33.6016 | − | 58.1996i | 1.05005 | − | 1.81874i | ||||
\(33\) | −19.7650 | − | 28.7918i | −0.598941 | − | 0.872479i | ||||
\(34\) | 11.6314 | 0.342100 | ||||||||
\(35\) | 33.5278 | − | 10.0441i | 0.957938 | − | 0.286975i | ||||
\(36\) | −87.4549 | + | 13.7542i | −2.42930 | + | 0.382060i | ||||
\(37\) | −20.0791 | + | 11.5927i | −0.542678 | + | 0.313315i | −0.746164 | − | 0.665763i | \(-0.768106\pi\) |
0.203486 | + | 0.979078i | \(0.434773\pi\) | |||||||
\(38\) | −20.0643 | + | 34.7525i | −0.528009 | + | 0.914539i | ||||
\(39\) | 11.9307 | − | 24.9783i | 0.305915 | − | 0.640468i | ||||
\(40\) | 94.7954 | + | 52.8960i | 2.36988 | + | 1.32240i | ||||
\(41\) | 22.7035i | 0.553744i | 0.960907 | + | 0.276872i | \(0.0892978\pi\) | ||||
−0.960907 | + | 0.276872i | \(0.910702\pi\) | |||||||
\(42\) | 60.1082 | + | 49.8896i | 1.43115 | + | 1.18785i | ||||
\(43\) | 29.1447i | 0.677784i | 0.940825 | + | 0.338892i | \(0.110052\pi\) | ||||
−0.940825 | + | 0.338892i | \(0.889948\pi\) | |||||||
\(44\) | −99.1676 | + | 57.2544i | −2.25381 | + | 1.30124i | ||||
\(45\) | −7.64099 | − | 44.3465i | −0.169800 | − | 0.985479i | ||||
\(46\) | 10.9113 | − | 18.8990i | 0.237203 | − | 0.410848i | ||||
\(47\) | 30.0800 | + | 52.1000i | 0.639999 | + | 1.10851i | 0.985432 | + | 0.170068i | \(0.0543987\pi\) |
−0.345433 | + | 0.938443i | \(0.612268\pi\) | |||||||
\(48\) | 9.68046 | + | 123.862i | 0.201676 | + | 2.58045i | ||||
\(49\) | −1.43408 | − | 48.9790i | −0.0292670 | − | 0.999572i | ||||
\(50\) | −44.1206 | + | 81.8613i | −0.882412 | + | 1.63723i | ||||
\(51\) | −7.73381 | + | 5.30912i | −0.151643 | + | 0.104100i | ||||
\(52\) | −78.6037 | − | 45.3819i | −1.51161 | − | 0.872728i | ||||
\(53\) | 27.9865 | − | 48.4740i | 0.528047 | − | 0.914604i | −0.471418 | − | 0.881910i | \(-0.656258\pi\) |
0.999465 | − | 0.0326945i | \(-0.0104088\pi\) | |||||||
\(54\) | 72.9645 | − | 69.0152i | 1.35119 | − | 1.27806i | ||||
\(55\) | −29.8370 | − | 49.9760i | −0.542492 | − | 0.908654i | ||||
\(56\) | 105.880 | − | 109.025i | 1.89071 | − | 1.94688i | ||||
\(57\) | −2.52173 | − | 32.2655i | −0.0442408 | − | 0.566061i | ||||
\(58\) | 123.554 | − | 71.3342i | 2.13025 | − | 1.22990i | ||||
\(59\) | 23.2367 | + | 13.4157i | 0.393843 | + | 0.227385i | 0.683824 | − | 0.729647i | \(-0.260316\pi\) |
−0.289981 | + | 0.957032i | \(0.593649\pi\) | |||||||
\(60\) | −146.917 | + | 13.6479i | −2.44862 | + | 0.227466i | ||||
\(61\) | −19.8501 | − | 34.3814i | −0.325412 | − | 0.563630i | 0.656184 | − | 0.754601i | \(-0.272170\pi\) |
−0.981596 | + | 0.190971i | \(0.938836\pi\) | |||||||
\(62\) | −117.117 | −1.88899 | ||||||||
\(63\) | −62.7384 | − | 5.73575i | −0.995847 | − | 0.0910437i | ||||
\(64\) | 84.3274 | 1.31762 | ||||||||
\(65\) | 22.4807 | − | 40.2878i | 0.345856 | − | 0.619812i | ||||
\(66\) | 55.9895 | − | 117.221i | 0.848326 | − | 1.77607i | ||||
\(67\) | 86.4356 | + | 49.9036i | 1.29008 | + | 0.744830i | 0.978669 | − | 0.205444i | \(-0.0658639\pi\) |
0.311414 | + | 0.950274i | \(0.399197\pi\) | |||||||
\(68\) | 15.3792 | + | 26.6376i | 0.226165 | + | 0.391729i | ||||
\(69\) | 1.37136 | + | 17.5466i | 0.0198748 | + | 0.254298i | ||||
\(70\) | 94.7141 | + | 89.3260i | 1.35306 | + | 1.27609i | ||||
\(71\) | − | 62.5979i | − | 0.881661i | −0.897590 | − | 0.440830i | \(-0.854684\pi\) | ||
0.897590 | − | 0.440830i | \(-0.145316\pi\) | |||||||
\(72\) | −122.803 | − | 151.987i | −1.70560 | − | 2.11093i | ||||
\(73\) | 37.5802 | + | 21.6970i | 0.514798 | + | 0.297219i | 0.734804 | − | 0.678280i | \(-0.237274\pi\) |
−0.220006 | + | 0.975499i | \(0.570608\pi\) | |||||||
\(74\) | −74.6895 | − | 43.1220i | −1.00932 | − | 0.582730i | ||||
\(75\) | −8.02925 | − | 74.5690i | −0.107057 | − | 0.994253i | ||||
\(76\) | −106.117 | −1.39628 | ||||||||
\(77\) | −78.3936 | + | 22.2401i | −1.01810 | + | 0.288833i | ||||
\(78\) | 102.655 | − | 8.02304i | 1.31609 | − | 0.102859i | ||||
\(79\) | 15.5064 | + | 26.8579i | 0.196284 | + | 0.339974i | 0.947321 | − | 0.320287i | \(-0.103779\pi\) |
−0.751037 | + | 0.660260i | \(0.770446\pi\) | |||||||
\(80\) | 3.02981 | + | 207.043i | 0.0378726 | + | 2.58804i | ||||
\(81\) | −17.0129 | + | 79.1932i | −0.210035 | + | 0.977694i | ||||
\(82\) | −73.1373 | + | 42.2259i | −0.891919 | + | 0.514949i | ||||
\(83\) | 93.5855 | 1.12754 | 0.563768 | − | 0.825933i | \(-0.309351\pi\) | ||||
0.563768 | + | 0.825933i | \(0.309351\pi\) | |||||||
\(84\) | −34.7783 | + | 203.621i | −0.414028 | + | 2.42406i | ||||
\(85\) | −13.4241 | + | 8.01458i | −0.157931 | + | 0.0942891i | ||||
\(86\) | −93.8870 | + | 54.2057i | −1.09171 | + | 0.630299i | ||||
\(87\) | −49.5920 | + | 103.827i | −0.570023 | + | 1.19341i | ||||
\(88\) | −218.878 | − | 126.369i | −2.48725 | − | 1.43601i | ||||
\(89\) | −34.2984 | + | 19.8022i | −0.385375 | + | 0.222496i | −0.680154 | − | 0.733069i | \(-0.738087\pi\) |
0.294779 | + | 0.955565i | \(0.404754\pi\) | |||||||
\(90\) | 128.647 | − | 107.094i | 1.42941 | − | 1.18993i | ||||
\(91\) | −46.3353 | − | 44.9985i | −0.509179 | − | 0.494489i | ||||
\(92\) | 57.7086 | 0.627267 | ||||||||
\(93\) | 77.8721 | − | 53.4578i | 0.837334 | − | 0.574815i | ||||
\(94\) | −111.890 | + | 193.800i | −1.19032 | + | 2.06170i | ||||
\(95\) | −0.789255 | − | 53.9341i | −0.00830795 | − | 0.567727i | ||||
\(96\) | −166.214 | + | 114.103i | −1.73139 | + | 1.18857i | ||||
\(97\) | − | 119.768i | − | 1.23472i | −0.786679 | − | 0.617362i | \(-0.788201\pi\) | ||
0.786679 | − | 0.617362i | \(-0.211799\pi\) | |||||||
\(98\) | 155.114 | − | 95.7150i | 1.58280 | − | 0.976683i | ||||
\(99\) | 16.2772 | + | 103.497i | 0.164416 | + | 1.04543i | ||||
\(100\) | −245.811 | + | 7.19579i | −2.45811 | + | 0.0719579i | ||||
\(101\) | 13.8956 | + | 8.02263i | 0.137580 | + | 0.0794320i | 0.567210 | − | 0.823573i | \(-0.308023\pi\) |
−0.429630 | + | 0.903005i | \(0.641356\pi\) | |||||||
\(102\) | −31.4868 | − | 15.0394i | −0.308694 | − | 0.147445i | ||||
\(103\) | −111.510 | + | 64.3802i | −1.08262 | + | 0.625051i | −0.931602 | − | 0.363480i | \(-0.881588\pi\) |
−0.151018 | + | 0.988531i | \(0.548255\pi\) | |||||||
\(104\) | − | 200.329i | − | 1.92624i | ||||||
\(105\) | −103.749 | − | 16.1616i | −0.988083 | − | 0.153920i | ||||
\(106\) | 208.206 | 1.96421 | ||||||||
\(107\) | 79.6491 | + | 137.956i | 0.744384 | + | 1.28931i | 0.950482 | + | 0.310779i | \(0.100590\pi\) |
−0.206099 | + | 0.978531i | \(0.566077\pi\) | |||||||
\(108\) | 254.529 | + | 75.8462i | 2.35675 | + | 0.702279i | ||||
\(109\) | −12.9451 | + | 22.4216i | −0.118762 | + | 0.205702i | −0.919277 | − | 0.393610i | \(-0.871226\pi\) |
0.800515 | + | 0.599313i | \(0.204559\pi\) | |||||||
\(110\) | 105.500 | − | 189.067i | 0.959088 | − | 1.71879i | ||||
\(111\) | 69.3445 | − | 5.41965i | 0.624725 | − | 0.0488257i | ||||
\(112\) | 281.082 | + | 70.9234i | 2.50966 | + | 0.633245i | ||||
\(113\) | −127.653 | −1.12967 | −0.564836 | − | 0.825203i | \(-0.691060\pi\) | ||||
−0.564836 | + | 0.825203i | \(0.691060\pi\) | |||||||
\(114\) | 99.2503 | − | 68.1336i | 0.870617 | − | 0.597663i | ||||
\(115\) | 0.429211 | + | 29.3303i | 0.00373227 | + | 0.255046i | ||||
\(116\) | 326.731 | + | 188.638i | 2.81664 | + | 1.62619i | ||||
\(117\) | −64.5939 | + | 52.1911i | −0.552085 | + | 0.446078i | ||||
\(118\) | 99.8067i | 0.845819i | ||||||||
\(119\) | 5.97396 | + | 21.0574i | 0.0502013 | + | 0.176953i | ||||
\(120\) | −188.222 | − | 265.763i | −1.56851 | − | 2.21469i | ||||
\(121\) | 7.25691 | + | 12.5693i | 0.0599744 | + | 0.103879i | ||||
\(122\) | 73.8378 | − | 127.891i | 0.605228 | − | 1.04829i | ||||
\(123\) | 29.3557 | − | 61.4596i | 0.238664 | − | 0.499672i | ||||
\(124\) | −154.854 | − | 268.215i | −1.24882 | − | 2.16302i | ||||
\(125\) | −5.48548 | − | 124.880i | −0.0438839 | − | 0.999037i | ||||
\(126\) | −98.2088 | − | 212.774i | −0.779435 | − | 1.68868i | ||||
\(127\) | 47.1857i | 0.371541i | 0.982593 | + | 0.185770i | \(0.0594781\pi\) | ||||
−0.982593 | + | 0.185770i | \(0.940522\pi\) | |||||||
\(128\) | 22.4328 | + | 38.8548i | 0.175256 | + | 0.303553i | ||||
\(129\) | 37.6842 | − | 78.8963i | 0.292125 | − | 0.611599i | ||||
\(130\) | 171.595 | − | 2.51107i | 1.31996 | − | 0.0193159i | ||||
\(131\) | −126.778 | + | 73.1955i | −0.967773 | + | 0.558744i | −0.898557 | − | 0.438857i | \(-0.855383\pi\) |
−0.0692166 | + | 0.997602i | \(0.522050\pi\) | |||||||
\(132\) | 342.482 | − | 26.7669i | 2.59456 | − | 0.202779i | ||||
\(133\) | −73.2208 | − | 18.4753i | −0.550533 | − | 0.138912i | ||||
\(134\) | 371.259i | 2.77059i | ||||||||
\(135\) | −36.6556 | + | 129.928i | −0.271523 | + | 0.962432i | ||||
\(136\) | −33.9442 | + | 58.7931i | −0.249590 | + | 0.432302i | ||||
\(137\) | −82.4265 | + | 142.767i | −0.601653 | + | 1.04209i | 0.390917 | + | 0.920426i | \(0.372158\pi\) |
−0.992571 | + | 0.121668i | \(0.961176\pi\) | |||||||
\(138\) | −53.9741 | + | 37.0522i | −0.391117 | + | 0.268494i | ||||
\(139\) | 251.524 | 1.80953 | 0.904763 | − | 0.425915i | \(-0.140048\pi\) | ||||
0.904763 | + | 0.425915i | \(0.140048\pi\) | |||||||
\(140\) | −79.3370 | + | 335.017i | −0.566693 | + | 2.39298i | ||||
\(141\) | −14.0626 | − | 179.931i | −0.0997348 | − | 1.27611i | ||||
\(142\) | 201.654 | − | 116.425i | 1.42010 | − | 0.819893i | ||||
\(143\) | −53.7065 | + | 93.0224i | −0.375570 | + | 0.650506i | ||||
\(144\) | 133.948 | − | 347.817i | 0.930194 | − | 2.41540i | ||||
\(145\) | −93.4450 | + | 167.463i | −0.644448 | + | 1.15492i | ||||
\(146\) | 161.415i | 1.10558i | ||||||||
\(147\) | −59.4479 | + | 134.443i | −0.404407 | + | 0.914579i | ||||
\(148\) | − | 228.066i | − | 1.54099i | ||||||
\(149\) | 208.574 | − | 120.420i | 1.39983 | − | 0.808189i | 0.405451 | − | 0.914117i | \(-0.367114\pi\) |
0.994374 | + | 0.105927i | \(0.0337811\pi\) | |||||||
\(150\) | 225.284 | − | 164.555i | 1.50189 | − | 1.09703i | ||||
\(151\) | −22.6110 | + | 39.1633i | −0.149741 | + | 0.259360i | −0.931132 | − | 0.364683i | \(-0.881177\pi\) |
0.781390 | + | 0.624042i | \(0.214511\pi\) | |||||||
\(152\) | −117.109 | − | 202.838i | −0.770451 | − | 1.33446i | ||||
\(153\) | 27.8006 | − | 4.37224i | 0.181703 | − | 0.0285767i | ||||
\(154\) | −217.447 | − | 211.174i | −1.41200 | − | 1.37126i | ||||
\(155\) | 135.168 | − | 80.6991i | 0.872052 | − | 0.520640i | ||||
\(156\) | 154.106 | + | 224.486i | 0.987856 | + | 1.43901i | ||||
\(157\) | −1.63878 | − | 0.946152i | −0.0104381 | − | 0.00602645i | 0.494772 | − | 0.869023i | \(-0.335252\pi\) |
−0.505210 | + | 0.862996i | \(0.668585\pi\) | |||||||
\(158\) | −57.6803 | + | 99.9052i | −0.365065 | + | 0.632311i | ||||
\(159\) | −138.438 | + | 95.0352i | −0.870679 | + | 0.597706i | ||||
\(160\) | −288.509 | + | 172.248i | −1.80318 | + | 1.07655i | ||||
\(161\) | 39.8188 | + | 10.0472i | 0.247322 | + | 0.0624050i | ||||
\(162\) | −286.756 | + | 92.4846i | −1.77010 | + | 0.570893i | ||||
\(163\) | 115.997 | − | 66.9711i | 0.711640 | − | 0.410865i | −0.100028 | − | 0.994985i | \(-0.531893\pi\) |
0.811668 | + | 0.584119i | \(0.198560\pi\) | |||||||
\(164\) | −193.406 | − | 111.663i | −1.17931 | − | 0.680873i | ||||
\(165\) | 16.1515 | + | 173.867i | 0.0978876 | + | 1.05374i | ||||
\(166\) | 174.058 | + | 301.477i | 1.04854 | + | 1.81613i | ||||
\(167\) | −23.6454 | −0.141589 | −0.0707945 | − | 0.997491i | \(-0.522553\pi\) | ||||
−0.0707945 | + | 0.997491i | \(0.522553\pi\) | |||||||
\(168\) | −427.591 | + | 158.234i | −2.54519 | + | 0.941870i | ||||
\(169\) | 83.8607 | 0.496217 | ||||||||
\(170\) | −50.7855 | − | 28.3384i | −0.298738 | − | 0.166697i | ||||
\(171\) | −34.8929 | + | 90.6051i | −0.204052 | + | 0.529854i | ||||
\(172\) | −248.278 | − | 143.343i | −1.44347 | − | 0.833390i | ||||
\(173\) | −32.5846 | − | 56.4382i | −0.188350 | − | 0.326232i | 0.756350 | − | 0.654167i | \(-0.226981\pi\) |
−0.944700 | + | 0.327935i | \(0.893647\pi\) | |||||||
\(174\) | −426.704 | + | 33.3492i | −2.45232 | + | 0.191662i | ||||
\(175\) | −170.862 | − | 37.8312i | −0.976354 | − | 0.216178i | ||||
\(176\) | − | 482.092i | − | 2.73916i | ||||||
\(177\) | −45.5565 | − | 66.3622i | −0.257381 | − | 0.374928i | ||||
\(178\) | −127.582 | − | 73.6595i | −0.716752 | − | 0.413817i | ||||
\(179\) | −140.927 | − | 81.3643i | −0.787302 | − | 0.454549i | 0.0517096 | − | 0.998662i | \(-0.483533\pi\) |
−0.839012 | + | 0.544113i | \(0.816866\pi\) | |||||||
\(180\) | 415.360 | + | 153.019i | 2.30755 | + | 0.850104i | ||||
\(181\) | 152.677 | 0.843519 | 0.421759 | − | 0.906708i | \(-0.361413\pi\) | ||||
0.421759 | + | 0.906708i | \(0.361413\pi\) | |||||||
\(182\) | 58.7804 | − | 232.957i | 0.322969 | − | 1.27998i | ||||
\(183\) | 9.28008 | + | 118.739i | 0.0507108 | + | 0.648845i | ||||
\(184\) | 63.6857 | + | 110.307i | 0.346118 | + | 0.599494i | ||||
\(185\) | 115.914 | − | 1.69625i | 0.626563 | − | 0.00916894i | ||||
\(186\) | 317.042 | + | 151.433i | 1.70453 | + | 0.814155i | ||||
\(187\) | 31.5238 | − | 18.2003i | 0.168577 | − | 0.0973278i | ||||
\(188\) | −591.772 | −3.14773 | ||||||||
\(189\) | 162.420 | + | 96.6479i | 0.859364 | + | 0.511364i | ||||
\(190\) | 172.276 | − | 102.854i | 0.906715 | − | 0.541334i | ||||
\(191\) | −181.527 | + | 104.805i | −0.950403 | + | 0.548716i | −0.893206 | − | 0.449647i | \(-0.851550\pi\) |
−0.0571970 | + | 0.998363i | \(0.518216\pi\) | |||||||
\(192\) | −228.279 | − | 109.036i | −1.18895 | − | 0.567894i | ||||
\(193\) | 102.657 | + | 59.2693i | 0.531904 | + | 0.307095i | 0.741791 | − | 0.670631i | \(-0.233977\pi\) |
−0.209888 | + | 0.977725i | \(0.567310\pi\) | |||||||
\(194\) | 385.823 | − | 222.755i | 1.98878 | − | 1.14822i | ||||
\(195\) | −112.949 | + | 79.9936i | −0.579223 | + | 0.410224i | ||||
\(196\) | 424.295 | + | 228.678i | 2.16477 | + | 1.16672i | ||||
\(197\) | 159.912 | 0.811735 | 0.405868 | − | 0.913932i | \(-0.366969\pi\) | ||||
0.405868 | + | 0.913932i | \(0.366969\pi\) | |||||||
\(198\) | −303.133 | + | 244.928i | −1.53098 | + | 1.23701i | ||||
\(199\) | 43.3843 | − | 75.1437i | 0.218011 | − | 0.377607i | −0.736189 | − | 0.676776i | \(-0.763376\pi\) |
0.954200 | + | 0.299170i | \(0.0967097\pi\) | |||||||
\(200\) | −285.025 | − | 461.914i | −1.42513 | − | 2.30957i | ||||
\(201\) | −169.460 | − | 246.853i | −0.843086 | − | 1.22813i | ||||
\(202\) | 59.6846i | 0.295468i | ||||||||
\(203\) | 192.601 | + | 187.045i | 0.948775 | + | 0.921402i | ||||
\(204\) | −7.18989 | − | 91.9947i | −0.0352446 | − | 0.450954i | ||||
\(205\) | 55.3142 | − | 99.1290i | 0.269825 | − | 0.483556i | ||||
\(206\) | −414.790 | − | 239.479i | −2.01355 | − | 1.16252i | ||||
\(207\) | 18.9754 | − | 49.2726i | 0.0916686 | − | 0.238032i | ||||
\(208\) | 330.928 | − | 191.061i | 1.59100 | − | 0.918564i | ||||
\(209\) | 125.583i | 0.600876i | ||||||||
\(210\) | −140.897 | − | 364.276i | −0.670940 | − | 1.73465i | ||||
\(211\) | −291.368 | −1.38089 | −0.690445 | − | 0.723385i | \(-0.742585\pi\) | ||||
−0.690445 | + | 0.723385i | \(0.742585\pi\) | |||||||
\(212\) | 275.293 | + | 476.822i | 1.29855 | + | 2.24916i | ||||
\(213\) | −80.9393 | + | 169.456i | −0.379997 | + | 0.795568i | ||||
\(214\) | −296.276 | + | 513.165i | −1.38447 | + | 2.39797i | ||||
\(215\) | 71.0074 | − | 127.253i | 0.330267 | − | 0.591874i | ||||
\(216\) | 135.916 | + | 570.222i | 0.629242 | + | 2.63992i | ||||
\(217\) | −60.1521 | − | 212.028i | −0.277198 | − | 0.977088i | ||||
\(218\) | −96.3055 | −0.441768 | ||||||||
\(219\) | −73.6775 | − | 107.326i | −0.336427 | − | 0.490074i | ||||
\(220\) | 572.483 | − | 8.37755i | 2.60220 | − | 0.0380798i | ||||
\(221\) | 24.9869 | + | 14.4262i | 0.113063 | + | 0.0652769i | ||||
\(222\) | 146.432 | + | 213.307i | 0.659602 | + | 0.960844i | ||||
\(223\) | − | 317.534i | − | 1.42392i | −0.702220 | − | 0.711960i | \(-0.747808\pi\) | ||
0.702220 | − | 0.711960i | \(-0.252192\pi\) | |||||||
\(224\) | 128.391 | + | 452.562i | 0.573175 | + | 2.02037i | ||||
\(225\) | −74.6823 | + | 212.244i | −0.331921 | + | 0.943307i | ||||
\(226\) | −237.419 | − | 411.222i | −1.05053 | − | 1.81957i | ||||
\(227\) | 55.2662 | − | 95.7238i | 0.243463 | − | 0.421691i | −0.718235 | − | 0.695800i | \(-0.755050\pi\) |
0.961698 | + | 0.274110i | \(0.0883831\pi\) | |||||||
\(228\) | 287.266 | + | 137.210i | 1.25994 | + | 0.601799i | ||||
\(229\) | −47.1716 | − | 81.7037i | −0.205990 | − | 0.356785i | 0.744458 | − | 0.667669i | \(-0.232708\pi\) |
−0.950448 | + | 0.310885i | \(0.899375\pi\) | |||||||
\(230\) | −93.6867 | + | 55.9336i | −0.407333 | + | 0.243189i | ||||
\(231\) | 240.972 | + | 41.1579i | 1.04317 | + | 0.178173i | ||||
\(232\) | 832.705i | 3.58925i | ||||||||
\(233\) | −112.336 | − | 194.572i | −0.482131 | − | 0.835075i | 0.517659 | − | 0.855587i | \(-0.326804\pi\) |
−0.999790 | + | 0.0205124i | \(0.993470\pi\) | |||||||
\(234\) | −288.266 | − | 111.014i | −1.23191 | − | 0.474420i | ||||
\(235\) | −4.40134 | − | 300.767i | −0.0187291 | − | 1.27986i | ||||
\(236\) | −228.571 | + | 131.966i | −0.968523 | + | 0.559177i | ||||
\(237\) | −7.24937 | − | 92.7557i | −0.0305881 | − | 0.391374i | ||||
\(238\) | −56.7238 | + | 58.4089i | −0.238335 | + | 0.245416i | ||||
\(239\) | − | 270.509i | − | 1.13184i | −0.824462 | − | 0.565918i | \(-0.808522\pi\) | ||
0.824462 | − | 0.565918i | \(-0.191478\pi\) | |||||||
\(240\) | 259.506 | − | 564.395i | 1.08127 | − | 2.35165i | ||||
\(241\) | 29.4855 | − | 51.0703i | 0.122346 | − | 0.211910i | −0.798346 | − | 0.602199i | \(-0.794291\pi\) |
0.920693 | + | 0.390289i | \(0.127625\pi\) | |||||||
\(242\) | −26.9940 | + | 46.7549i | −0.111545 | + | 0.193202i | ||||
\(243\) | 148.452 | − | 192.383i | 0.610913 | − | 0.791698i | ||||
\(244\) | 390.517 | 1.60048 | ||||||||
\(245\) | −113.070 | + | 217.348i | −0.461509 | + | 0.887136i | ||||
\(246\) | 252.585 | − | 19.7409i | 1.02677 | − | 0.0802475i | ||||
\(247\) | −86.2056 | + | 49.7708i | −0.349010 | + | 0.201501i | ||||
\(248\) | 341.786 | − | 591.990i | 1.37817 | − | 2.38706i | ||||
\(249\) | −253.341 | − | 121.006i | −1.01743 | − | 0.485969i | ||||
\(250\) | 392.086 | − | 249.932i | 1.56834 | − | 0.999729i | ||||
\(251\) | 38.0046i | 0.151413i | 0.997130 | + | 0.0757064i | \(0.0241212\pi\) | ||||
−0.997130 | + | 0.0757064i | \(0.975879\pi\) | |||||||
\(252\) | 357.429 | − | 506.245i | 1.41837 | − | 2.00891i | ||||
\(253\) | − | 68.2943i | − | 0.269938i | ||||||
\(254\) | −152.004 | + | 87.7598i | −0.598443 | + | 0.345511i | ||||
\(255\) | 46.7027 | − | 4.33847i | 0.183148 | − | 0.0170136i | ||||
\(256\) | 85.2100 | − | 147.588i | 0.332852 | − | 0.576516i | ||||
\(257\) | −213.944 | − | 370.562i | −0.832467 | − | 1.44188i | −0.896076 | − | 0.443901i | \(-0.853594\pi\) |
0.0636088 | − | 0.997975i | \(-0.479739\pi\) | |||||||
\(258\) | 324.245 | − | 25.3416i | 1.25677 | − | 0.0982231i | ||||
\(259\) | 39.7068 | − | 157.365i | 0.153308 | − | 0.607587i | ||||
\(260\) | 232.636 | + | 389.656i | 0.894753 | + | 1.49868i | ||||
\(261\) | 268.496 | − | 216.942i | 1.02872 | − | 0.831195i | ||||
\(262\) | −471.585 | − | 272.270i | −1.79994 | − | 1.03920i | ||||
\(263\) | 17.1949 | − | 29.7824i | 0.0653797 | − | 0.113241i | −0.831483 | − | 0.555551i | \(-0.812507\pi\) |
0.896862 | + | 0.442310i | \(0.145841\pi\) | |||||||
\(264\) | 429.118 | + | 625.098i | 1.62545 | + | 2.36779i | ||||
\(265\) | −240.297 | + | 143.464i | −0.906780 | + | 0.541373i | ||||
\(266\) | −76.6656 | − | 270.236i | −0.288217 | − | 1.01593i | ||||
\(267\) | 118.452 | − | 9.25766i | 0.443640 | − | 0.0346729i | ||||
\(268\) | −850.237 | + | 490.884i | −3.17252 | + | 1.83166i | ||||
\(269\) | 390.528 | + | 225.472i | 1.45178 | + | 0.838185i | 0.998582 | − | 0.0532259i | \(-0.0169503\pi\) |
0.453196 | + | 0.891411i | \(0.350284\pi\) | |||||||
\(270\) | −486.728 | + | 123.569i | −1.80269 | + | 0.457661i | ||||
\(271\) | 112.662 | + | 195.136i | 0.415727 | + | 0.720060i | 0.995504 | − | 0.0947148i | \(-0.0301939\pi\) |
−0.579778 | + | 0.814775i | \(0.696861\pi\) | |||||||
\(272\) | −129.495 | −0.476086 | ||||||||
\(273\) | 67.2490 | + | 181.725i | 0.246333 | + | 0.665660i | ||||
\(274\) | −613.214 | −2.23801 | ||||||||
\(275\) | 8.51575 | + | 290.901i | 0.0309664 | + | 1.05782i | ||||
\(276\) | −156.220 | − | 74.6173i | −0.566015 | − | 0.270353i | ||||
\(277\) | 227.641 | + | 131.429i | 0.821810 | + | 0.474472i | 0.851040 | − | 0.525101i | \(-0.175972\pi\) |
−0.0292305 | + | 0.999573i | \(0.509306\pi\) | |||||||
\(278\) | 467.805 | + | 810.263i | 1.68275 | + | 2.91461i | ||||
\(279\) | −279.925 | + | 44.0243i | −1.00332 | + | 0.157793i | ||||
\(280\) | −727.922 | + | 218.068i | −2.59972 | + | 0.778814i | ||||
\(281\) | 265.040i | 0.943204i | 0.881812 | + | 0.471602i | \(0.156324\pi\) | ||||
−0.881812 | + | 0.471602i | \(0.843676\pi\) | |||||||
\(282\) | 553.477 | − | 379.952i | 1.96269 | − | 1.34735i | ||||
\(283\) | −182.790 | − | 105.534i | −0.645901 | − | 0.372911i | 0.140983 | − | 0.990012i | \(-0.454974\pi\) |
−0.786884 | + | 0.617101i | \(0.788307\pi\) | |||||||
\(284\) | 533.258 | + | 307.877i | 1.87767 | + | 1.08407i | ||||
\(285\) | −67.6003 | + | 147.023i | −0.237194 | + | 0.515870i | ||||
\(286\) | −399.551 | −1.39703 | ||||||||
\(287\) | −114.009 | − | 110.720i | −0.397245 | − | 0.385784i | ||||
\(288\) | 597.484 | − | 93.9673i | 2.07460 | − | 0.326275i | ||||
\(289\) | 139.611 | + | 241.814i | 0.483084 | + | 0.836726i | ||||
\(290\) | −713.265 | + | 10.4377i | −2.45954 | + | 0.0359921i | ||||
\(291\) | −154.861 | + | 324.219i | −0.532167 | + | 1.11415i | ||||
\(292\) | −369.664 | + | 213.425i | −1.26597 | + | 0.730909i | ||||
\(293\) | 241.372 | 0.823795 | 0.411898 | − | 0.911230i | \(-0.364866\pi\) | ||||
0.411898 | + | 0.911230i | \(0.364866\pi\) | |||||||
\(294\) | −543.663 | + | 58.5424i | −1.84919 | + | 0.199124i | ||||
\(295\) | −68.7715 | − | 115.190i | −0.233124 | − | 0.390473i | ||||
\(296\) | 435.936 | − | 251.688i | 1.47276 | − | 0.850297i | ||||
\(297\) | 89.7590 | − | 301.219i | 0.302219 | − | 1.01421i | ||||
\(298\) | 775.846 | + | 447.935i | 2.60351 | + | 1.50314i | ||||
\(299\) | 46.8801 | − | 27.0662i | 0.156790 | − | 0.0905226i | ||||
\(300\) | 674.728 | + | 298.355i | 2.24909 | + | 0.994517i | ||||
\(301\) | −146.355 | − | 142.132i | −0.486228 | − | 0.472200i | ||||
\(302\) | −168.215 | −0.557003 | ||||||||
\(303\) | −27.2429 | − | 39.6848i | −0.0899105 | − | 0.130973i | ||||
\(304\) | 223.382 | − | 386.908i | 0.734808 | − | 1.27272i | ||||
\(305\) | 2.90450 | + | 198.480i | 0.00952294 | + | 0.650754i | ||||
\(306\) | 65.7905 | + | 81.4252i | 0.215002 | + | 0.266095i | ||||
\(307\) | 378.511i | 1.23293i | 0.787381 | + | 0.616467i | \(0.211437\pi\) | ||||
−0.787381 | + | 0.616467i | \(0.788563\pi\) | |||||||
\(308\) | 196.106 | − | 777.203i | 0.636708 | − | 2.52339i | ||||
\(309\) | 385.107 | − | 30.0982i | 1.24630 | − | 0.0974053i | ||||
\(310\) | 511.362 | + | 285.341i | 1.64955 | + | 0.920455i | ||||
\(311\) | −108.150 | − | 62.4406i | −0.347750 | − | 0.200774i | 0.315944 | − | 0.948778i | \(-0.397679\pi\) |
−0.663694 | + | 0.748004i | \(0.731012\pi\) | |||||||
\(312\) | −259.026 | + | 542.302i | −0.830213 | + | 1.73815i | ||||
\(313\) | 200.253 | − | 115.616i | 0.639786 | − | 0.369380i | −0.144746 | − | 0.989469i | \(-0.546237\pi\) |
0.784532 | + | 0.620088i | \(0.212903\pi\) | |||||||
\(314\) | − | 7.03893i | − | 0.0224170i | ||||||
\(315\) | 259.957 | + | 177.898i | 0.825259 | + | 0.564755i | ||||
\(316\) | −305.063 | −0.965388 | ||||||||
\(317\) | −80.4184 | − | 139.289i | −0.253686 | − | 0.439397i | 0.710852 | − | 0.703342i | \(-0.248310\pi\) |
−0.964538 | + | 0.263945i | \(0.914976\pi\) | |||||||
\(318\) | −563.626 | − | 269.211i | −1.77241 | − | 0.846577i | ||||
\(319\) | 223.241 | − | 386.665i | 0.699815 | − | 1.21211i | ||||
\(320\) | −368.194 | − | 205.453i | −1.15061 | − | 0.642041i | ||||
\(321\) | −37.2365 | − | 476.441i | −0.116002 | − | 1.48424i | ||||
\(322\) | 41.6921 | + | 146.959i | 0.129479 | + | 0.456395i | ||||
\(323\) | 33.7331 | 0.104437 | ||||||||
\(324\) | −590.955 | − | 534.427i | −1.82394 | − | 1.64947i | ||||
\(325\) | −196.312 | + | 121.135i | −0.604037 | + | 0.372723i | ||||
\(326\) | 431.483 | + | 249.117i | 1.32357 | + | 0.764161i | ||||
\(327\) | 64.0343 | − | 43.9584i | 0.195823 | − | 0.134429i | ||||
\(328\) | − | 492.915i | − | 1.50279i | ||||||
\(329\) | −408.322 | − | 103.029i | −1.24110 | − | 0.313158i | ||||
\(330\) | −530.057 | + | 375.403i | −1.60623 | + | 1.13758i | ||||
\(331\) | 229.247 | + | 397.068i | 0.692590 | + | 1.19960i | 0.970986 | + | 0.239135i | \(0.0768640\pi\) |
−0.278396 | + | 0.960466i | \(0.589803\pi\) | |||||||
\(332\) | −460.284 | + | 797.235i | −1.38640 | + | 2.40131i | ||||
\(333\) | −194.727 | − | 74.9914i | −0.584766 | − | 0.225199i | ||||
\(334\) | −43.9776 | − | 76.1714i | −0.131669 | − | 0.228058i | ||||
\(335\) | −255.815 | − | 428.481i | −0.763627 | − | 1.27905i | ||||
\(336\) | −669.200 | − | 555.433i | −1.99167 | − | 1.65308i | ||||
\(337\) | − | 170.410i | − | 0.505667i | −0.967510 | − | 0.252834i | \(-0.918637\pi\) | ||
0.967510 | − | 0.252834i | \(-0.0813625\pi\) | |||||||
\(338\) | 155.971 | + | 270.150i | 0.461453 | + | 0.799259i | ||||
\(339\) | 345.563 | + | 165.056i | 1.01936 | + | 0.486889i | ||||
\(340\) | −2.25031 | − | 153.776i | −0.00661855 | − | 0.452281i | ||||
\(341\) | −317.415 | + | 183.260i | −0.930835 | + | 0.537418i | ||||
\(342\) | −356.773 | + | 56.1103i | −1.04320 | + | 0.164065i | ||||
\(343\) | 252.950 | + | 231.658i | 0.737462 | + | 0.675388i | ||||
\(344\) | − | 632.760i | − | 1.83942i | ||||||
\(345\) | 36.7623 | − | 79.9537i | 0.106557 | − | 0.231750i | ||||
\(346\) | 121.207 | − | 209.937i | 0.350310 | − | 0.606754i | ||||
\(347\) | 311.981 | − | 540.367i | 0.899080 | − | 1.55725i | 0.0704086 | − | 0.997518i | \(-0.477570\pi\) |
0.828672 | − | 0.559735i | \(-0.189097\pi\) | |||||||
\(348\) | −640.568 | − | 933.117i | −1.84071 | − | 2.68137i | ||||
\(349\) | −25.5776 | −0.0732883 | −0.0366442 | − | 0.999328i | \(-0.511667\pi\) | ||||
−0.0366442 | + | 0.999328i | \(0.511667\pi\) | |||||||
\(350\) | −195.913 | − | 620.778i | −0.559752 | − | 1.77365i | ||||
\(351\) | 242.343 | − | 57.7640i | 0.690435 | − | 0.164570i | ||||
\(352\) | 677.504 | − | 391.157i | 1.92473 | − | 1.11124i | ||||
\(353\) | −98.5420 | + | 170.680i | −0.279156 | + | 0.483512i | −0.971175 | − | 0.238367i | \(-0.923388\pi\) |
0.692019 | + | 0.721879i | \(0.256721\pi\) | |||||||
\(354\) | 129.050 | − | 270.182i | 0.364549 | − | 0.763226i | ||||
\(355\) | −152.512 | + | 273.318i | −0.429611 | + | 0.769909i | ||||
\(356\) | − | 389.574i | − | 1.09431i | ||||||
\(357\) | 11.0555 | − | 64.7279i | 0.0309677 | − | 0.181311i | ||||
\(358\) | − | 605.312i | − | 1.69082i | ||||||
\(359\) | 402.581 | − | 232.430i | 1.12140 | − | 0.647438i | 0.179639 | − | 0.983733i | \(-0.442507\pi\) |
0.941757 | + | 0.336294i | \(0.109174\pi\) | |||||||
\(360\) | 165.893 | + | 962.806i | 0.460815 | + | 2.67446i | ||||
\(361\) | 122.310 | − | 211.847i | 0.338809 | − | 0.586834i | ||||
\(362\) | 283.961 | + | 491.835i | 0.784423 | + | 1.35866i | ||||
\(363\) | −3.39266 | − | 43.4091i | −0.00934616 | − | 0.119584i | ||||
\(364\) | 611.225 | − | 173.404i | 1.67919 | − | 0.476384i | ||||
\(365\) | −111.223 | − | 186.294i | −0.304719 | − | 0.510394i | ||||
\(366\) | −365.246 | + | 250.735i | −0.997940 | + | 0.685068i | ||||
\(367\) | 353.989 | + | 204.375i | 0.964547 | + | 0.556881i | 0.897569 | − | 0.440873i | \(-0.145331\pi\) |
0.0669775 | + | 0.997754i | \(0.478664\pi\) | |||||||
\(368\) | −121.479 | + | 210.408i | −0.330106 | + | 0.571760i | ||||
\(369\) | −158.935 | + | 128.418i | −0.430718 | + | 0.348015i | ||||
\(370\) | 221.051 | + | 370.253i | 0.597436 | + | 1.00068i | ||||
\(371\) | 106.936 | + | 376.936i | 0.288237 | + | 1.01600i | ||||
\(372\) | 72.3953 | + | 926.299i | 0.194611 | + | 2.49005i | ||||
\(373\) | −629.997 | + | 363.729i | −1.68900 | + | 0.975144i | −0.733713 | + | 0.679459i | \(0.762214\pi\) |
−0.955286 | + | 0.295685i | \(0.904452\pi\) | |||||||
\(374\) | 117.261 | + | 67.7008i | 0.313533 | + | 0.181018i | ||||
\(375\) | −146.620 | + | 345.149i | −0.390987 | + | 0.920396i | ||||
\(376\) | −653.065 | − | 1131.14i | −1.73688 | − | 3.00836i | ||||
\(377\) | 353.897 | 0.938720 | ||||||||
\(378\) | −9.26082 | + | 702.975i | −0.0244995 | + | 1.85972i | ||||
\(379\) | −257.337 | −0.678989 | −0.339494 | − | 0.940608i | \(-0.610256\pi\) | ||||
−0.339494 | + | 0.940608i | \(0.610256\pi\) | |||||||
\(380\) | 463.335 | + | 258.542i | 1.21930 | + | 0.680373i | ||||
\(381\) | 61.0112 | − | 127.734i | 0.160134 | − | 0.335260i | ||||
\(382\) | −675.238 | − | 389.849i | −1.76764 | − | 1.02055i | ||||
\(383\) | −63.6145 | − | 110.184i | −0.166095 | − | 0.287685i | 0.770948 | − | 0.636898i | \(-0.219783\pi\) |
−0.937044 | + | 0.349212i | \(0.886449\pi\) | |||||||
\(384\) | −10.4875 | − | 134.188i | −0.0273112 | − | 0.349447i | ||||
\(385\) | 396.471 | + | 93.8902i | 1.02979 | + | 0.243871i | ||||
\(386\) | 440.935i | 1.14232i | ||||||||
\(387\) | −204.026 | + | 164.851i | −0.527200 | + | 0.425971i | ||||
\(388\) | 1020.28 | + | 589.059i | 2.62959 | + | 1.51819i | ||||
\(389\) | −92.0153 | − | 53.1250i | −0.236543 | − | 0.136568i | 0.377044 | − | 0.926195i | \(-0.376941\pi\) |
−0.613587 | + | 0.789627i | \(0.710274\pi\) | |||||||
\(390\) | −467.763 | − | 215.075i | −1.19939 | − | 0.551474i | ||||
\(391\) | −18.3447 | −0.0469173 | ||||||||
\(392\) | 31.1353 | + | 1063.38i | 0.0794269 | + | 2.71271i | ||||
\(393\) | 437.838 | − | 34.2194i | 1.11409 | − | 0.0870723i | ||||
\(394\) | 297.417 | + | 515.142i | 0.754866 | + | 1.30747i | ||||
\(395\) | −2.26892 | − | 155.048i | −0.00574411 | − | 0.392526i | ||||
\(396\) | −961.727 | − | 370.371i | −2.42860 | − | 0.935281i | ||||
\(397\) | 116.882 | − | 67.4818i | 0.294413 | − | 0.169979i | −0.345517 | − | 0.938412i | \(-0.612297\pi\) |
0.639930 | + | 0.768433i | \(0.278963\pi\) | |||||||
\(398\) | 322.758 | 0.810951 | ||||||||
\(399\) | 174.324 | + | 144.688i | 0.436903 | + | 0.362628i | ||||
\(400\) | 491.206 | − | 911.383i | 1.22801 | − | 2.27846i | ||||
\(401\) | −378.110 | + | 218.302i | −0.942918 | + | 0.544394i | −0.890874 | − | 0.454251i | \(-0.849907\pi\) |
−0.0520445 | + | 0.998645i | \(0.516574\pi\) | |||||||
\(402\) | 480.039 | − | 1005.02i | 1.19413 | − | 2.50005i | ||||
\(403\) | −251.594 | − | 145.258i | −0.624303 | − | 0.360442i | ||||
\(404\) | −136.686 | + | 78.9158i | −0.338332 | + | 0.195336i | ||||
\(405\) | 267.226 | − | 304.327i | 0.659818 | − | 0.751425i | ||||
\(406\) | −244.332 | + | 968.329i | −0.601802 | + | 2.38505i | ||||
\(407\) | −269.901 | −0.663148 | ||||||||
\(408\) | 167.909 | − | 115.266i | 0.411540 | − | 0.282515i | ||||
\(409\) | −225.188 | + | 390.037i | −0.550581 | + | 0.953635i | 0.447651 | + | 0.894208i | \(0.352261\pi\) |
−0.998233 | + | 0.0594267i | \(0.981073\pi\) | |||||||
\(410\) | 422.213 | − | 6.17854i | 1.02979 | − | 0.0150696i | ||||
\(411\) | 407.731 | − | 279.900i | 0.992046 | − | 0.681022i | ||||
\(412\) | − | 1266.57i | − | 3.07420i | ||||||
\(413\) | −180.689 | + | 51.2613i | −0.437505 | + | 0.124119i | ||||
\(414\) | 194.019 | − | 30.5138i | 0.468646 | − | 0.0737047i | ||||
\(415\) | −408.617 | − | 228.009i | −0.984620 | − | 0.549420i | ||||
\(416\) | 537.014 | + | 310.045i | 1.29090 | + | 0.745300i | ||||
\(417\) | −680.889 | − | 325.221i | −1.63283 | − | 0.779908i | ||||
\(418\) | −404.555 | + | 233.570i | −0.967835 | + | 0.558780i | ||||
\(419\) | 694.997i | 1.65870i | 0.558727 | + | 0.829352i | \(0.311290\pi\) | ||||
−0.558727 | + | 0.829352i | \(0.688710\pi\) | |||||||
\(420\) | 647.947 | − | 804.326i | 1.54273 | − | 1.91506i | ||||
\(421\) | 114.851 | 0.272805 | 0.136403 | − | 0.990653i | \(-0.456446\pi\) | ||||
0.136403 | + | 0.990653i | \(0.456446\pi\) | |||||||
\(422\) | −541.910 | − | 938.615i | −1.28415 | − | 2.22421i | ||||
\(423\) | −194.583 | + | 505.266i | −0.460008 | + | 1.19448i | ||||
\(424\) | −607.614 | + | 1052.42i | −1.43305 | + | 2.48212i | ||||
\(425\) | 78.1395 | − | 2.28743i | 0.183858 | − | 0.00538219i | ||||
\(426\) | −696.425 | + | 54.4294i | −1.63480 | + | 0.127769i | ||||
\(427\) | 269.456 | + | 67.9900i | 0.631045 | + | 0.159227i | ||||
\(428\) | −1566.96 | −3.66112 | ||||||||
\(429\) | 265.665 | − | 182.374i | 0.619265 | − | 0.425114i | ||||
\(430\) | 541.999 | − | 7.93145i | 1.26046 | − | 0.0184452i | ||||
\(431\) | −312.237 | − | 180.270i | −0.724448 | − | 0.418260i | 0.0919394 | − | 0.995765i | \(-0.470693\pi\) |
−0.816388 | + | 0.577504i | \(0.804027\pi\) | |||||||
\(432\) | −812.333 | + | 768.364i | −1.88040 | + | 1.77862i | ||||
\(433\) | 590.764i | 1.36435i | 0.731188 | + | 0.682176i | \(0.238966\pi\) | ||||
−0.731188 | + | 0.682176i | \(0.761034\pi\) | |||||||
\(434\) | 571.154 | − | 588.122i | 1.31602 | − | 1.35512i | ||||
\(435\) | 469.491 | − | 332.508i | 1.07929 | − | 0.764386i | ||||
\(436\) | −127.336 | − | 220.553i | −0.292056 | − | 0.505856i | ||||
\(437\) | 31.6448 | − | 54.8104i | 0.0724138 | − | 0.125424i | ||||
\(438\) | 208.710 | − | 436.960i | 0.476508 | − | 0.997625i | ||||
\(439\) | 235.149 | + | 407.290i | 0.535647 | + | 0.927769i | 0.999132 | + | 0.0416635i | \(0.0132657\pi\) |
−0.463484 | + | 0.886105i | \(0.653401\pi\) | |||||||
\(440\) | 647.791 | + | 1085.03i | 1.47225 | + | 2.46597i | ||||
\(441\) | 334.764 | − | 287.079i | 0.759102 | − | 0.650972i | ||||
\(442\) | 107.324i | 0.242815i | ||||||||
\(443\) | 99.6641 | + | 172.623i | 0.224975 | + | 0.389669i | 0.956312 | − | 0.292348i | \(-0.0944365\pi\) |
−0.731337 | + | 0.682017i | \(0.761103\pi\) | |||||||
\(444\) | −294.890 | + | 617.387i | −0.664167 | + | 1.39051i | ||||
\(445\) | 198.001 | − | 2.89748i | 0.444945 | − | 0.00651120i | ||||
\(446\) | 1022.91 | − | 590.576i | 2.29352 | − | 1.32416i | ||||
\(447\) | −720.325 | + | 56.2973i | −1.61146 | + | 0.125945i | ||||
\(448\) | −411.246 | + | 423.463i | −0.917960 | + | 0.945231i | ||||
\(449\) | 420.588i | 0.936722i | 0.883537 | + | 0.468361i | \(0.155155\pi\) | ||||
−0.883537 | + | 0.468361i | \(0.844845\pi\) | |||||||
\(450\) | −822.626 | + | 154.167i | −1.82806 | + | 0.342593i | ||||
\(451\) | −132.146 | + | 228.884i | −0.293007 | + | 0.507503i | ||||
\(452\) | 627.838 | − | 1087.45i | 1.38902 | − | 2.40586i | ||||
\(453\) | 111.847 | − | 76.7812i | 0.246904 | − | 0.169495i | ||||
\(454\) | 411.154 | 0.905626 | ||||||||
\(455\) | 92.6782 | + | 309.365i | 0.203688 | + | 0.679922i | ||||
\(456\) | 54.7491 | + | 700.515i | 0.120064 | + | 1.53622i | ||||
\(457\) | 433.751 | − | 250.426i | 0.949127 | − | 0.547979i | 0.0563173 | − | 0.998413i | \(-0.482064\pi\) |
0.892810 | + | 0.450434i | \(0.148731\pi\) | |||||||
\(458\) | 175.467 | − | 303.918i | 0.383117 | − | 0.663577i | ||||
\(459\) | −80.9109 | − | 24.1103i | −0.176277 | − | 0.0525279i | ||||
\(460\) | −251.970 | − | 140.600i | −0.547760 | − | 0.305651i | ||||
\(461\) | 68.9132i | 0.149486i | 0.997203 | + | 0.0747432i | \(0.0238137\pi\) | ||||
−0.997203 | + | 0.0747432i | \(0.976186\pi\) | |||||||
\(462\) | 315.594 | + | 852.819i | 0.683103 | + | 1.84593i | ||||
\(463\) | 72.6957i | 0.157010i | 0.996914 | + | 0.0785051i | \(0.0250147\pi\) | ||||
−0.996914 | + | 0.0785051i | \(0.974985\pi\) | |||||||
\(464\) | −1375.56 | + | 794.182i | −2.96458 | + | 1.71160i | ||||
\(465\) | −470.252 | + | 43.6842i | −1.01129 | + | 0.0939446i | ||||
\(466\) | 417.865 | − | 723.763i | 0.896706 | − | 1.55314i | ||||
\(467\) | −67.4292 | − | 116.791i | −0.144388 | − | 0.250087i | 0.784756 | − | 0.619804i | \(-0.212788\pi\) |
−0.929144 | + | 0.369717i | \(0.879455\pi\) | |||||||
\(468\) | −126.911 | − | 806.955i | −0.271178 | − | 1.72426i | ||||
\(469\) | −672.126 | + | 190.681i | −1.43310 | + | 0.406569i | ||||
\(470\) | 960.710 | − | 573.571i | 2.04406 | − | 1.22036i | ||||
\(471\) | 3.21290 | + | 4.68024i | 0.00682144 | + | 0.00993681i | ||||
\(472\) | −504.492 | − | 291.268i | −1.06884 | − | 0.617094i | ||||
\(473\) | −169.637 | + | 293.820i | −0.358641 | + | 0.621185i | ||||
\(474\) | 285.321 | − | 195.868i | 0.601944 | − | 0.413223i | ||||
\(475\) | −127.957 | + | 237.412i | −0.269384 | + | 0.499815i | ||||
\(476\) | −208.766 | − | 52.6764i | −0.438583 | − | 0.110665i | ||||
\(477\) | 497.640 | − | 78.2646i | 1.04327 | − | 0.164077i | ||||
\(478\) | 871.419 | − | 503.114i | 1.82305 | − | 1.05254i | ||||
\(479\) | −407.459 | − | 235.247i | −0.850645 | − | 0.491120i | 0.0102233 | − | 0.999948i | \(-0.496746\pi\) |
−0.860868 | + | 0.508828i | \(0.830079\pi\) | |||||||
\(480\) | 1003.73 | − | 93.2415i | 2.09109 | − | 0.194253i | ||||
\(481\) | −106.967 | − | 185.272i | −0.222384 | − | 0.385180i | ||||
\(482\) | 219.358 | 0.455100 | ||||||||
\(483\) | −94.8006 | − | 78.6841i | −0.196275 | − | 0.162907i | ||||
\(484\) | −142.767 | −0.294974 | ||||||||
\(485\) | −291.800 | + | 522.937i | −0.601650 | + | 1.07822i | ||||
\(486\) | 895.846 | + | 120.415i | 1.84331 | + | 0.247768i | ||||
\(487\) | 173.689 | + | 100.280i | 0.356651 | + | 0.205913i | 0.667611 | − | 0.744510i | \(-0.267317\pi\) |
−0.310959 | + | 0.950423i | \(0.600650\pi\) | |||||||
\(488\) | 430.965 | + | 746.454i | 0.883126 | + | 1.52962i | ||||
\(489\) | −400.605 | + | 31.3095i | −0.819232 | + | 0.0640275i | ||||
\(490\) | −910.464 | + | 39.9986i | −1.85809 | + | 0.0816298i | ||||
\(491\) | − | 744.767i | − | 1.51684i | −0.651768 | − | 0.758418i | \(-0.725973\pi\) | ||
0.651768 | − | 0.758418i | \(-0.274027\pi\) | |||||||
\(492\) | 379.181 | + | 552.354i | 0.770693 | + | 1.12267i | ||||
\(493\) | −103.863 | − | 59.9651i | −0.210675 | − | 0.121633i | ||||
\(494\) | −320.664 | − | 185.136i | −0.649118 | − | 0.374769i | ||||
\(495\) | 181.088 | − | 491.551i | 0.365834 | − | 0.993033i | ||||
\(496\) | 1303.89 | 2.62882 | ||||||||
\(497\) | 314.345 | + | 305.276i | 0.632485 | + | 0.614238i | ||||
\(498\) | −81.3734 | − | 1041.17i | −0.163400 | − | 2.09071i | ||||
\(499\) | −268.252 | − | 464.626i | −0.537579 | − | 0.931114i | −0.999034 | − | 0.0439501i | \(-0.986006\pi\) |
0.461455 | − | 0.887164i | \(-0.347328\pi\) | |||||||
\(500\) | 1090.80 | + | 567.469i | 2.18160 | + | 1.13494i | ||||
\(501\) | 64.0093 | + | 30.5735i | 0.127763 | + | 0.0610250i | ||||
\(502\) | −122.428 | + | 70.6841i | −0.243881 | + | 0.140805i | ||||
\(503\) | −924.410 | −1.83779 | −0.918897 | − | 0.394499i | \(-0.870918\pi\) | ||||
−0.918897 | + | 0.394499i | \(0.870918\pi\) | |||||||
\(504\) | 1362.11 | + | 124.529i | 2.70260 | + | 0.247081i | ||||
\(505\) | −41.1255 | − | 68.8837i | −0.0814366 | − | 0.136403i | ||||
\(506\) | 220.004 | − | 127.019i | 0.434791 | − | 0.251027i | ||||
\(507\) | −227.015 | − | 108.432i | −0.447762 | − | 0.213870i | ||||
\(508\) | −401.965 | − | 232.075i | −0.791269 | − | 0.456840i | ||||
\(509\) | −821.002 | + | 474.006i | −1.61297 | + | 0.931249i | −0.624293 | + | 0.781190i | \(0.714613\pi\) |
−0.988677 | + | 0.150059i | \(0.952054\pi\) | |||||||
\(510\) | 100.838 | + | 142.380i | 0.197721 | + | 0.279176i | ||||
\(511\) | −292.225 | + | 82.9038i | −0.571869 | + | 0.162238i | ||||
\(512\) | 813.385 | 1.58864 | ||||||||
\(513\) | 211.610 | − | 200.156i | 0.412495 | − | 0.390168i | ||||
\(514\) | 795.822 | − | 1378.40i | 1.54829 | − | 2.68172i | ||||
\(515\) | 643.734 | − | 9.42020i | 1.24997 | − | 0.0182917i | ||||
\(516\) | 486.758 | + | 709.061i | 0.943329 | + | 1.37415i | ||||
\(517\) | 700.324i | 1.35459i | ||||||||
\(518\) | 580.788 | − | 164.769i | 1.12121 | − | 0.318086i | ||||
\(519\) | 15.2335 | + | 194.913i | 0.0293517 | + | 0.375556i | ||||
\(520\) | −488.077 | + | 874.686i | −0.938609 | + | 1.68209i | ||||
\(521\) | 511.768 | + | 295.469i | 0.982280 | + | 0.567120i | 0.902958 | − | 0.429729i | \(-0.141391\pi\) |
0.0793222 | + | 0.996849i | \(0.474724\pi\) | |||||||
\(522\) | 1198.23 | + | 461.451i | 2.29546 | + | 0.884006i | ||||
\(523\) | 152.158 | − | 87.8483i | 0.290933 | − | 0.167970i | −0.347430 | − | 0.937706i | \(-0.612945\pi\) |
0.638362 | + | 0.769736i | \(0.279612\pi\) | |||||||
\(524\) | − | 1440.00i | − | 2.74809i | ||||||
\(525\) | 413.617 | + | 323.336i | 0.787841 | + | 0.615878i | ||||
\(526\) | 127.922 | 0.243197 | ||||||||
\(527\) | 49.2256 | + | 85.2613i | 0.0934073 | + | 0.161786i | ||||
\(528\) | −623.346 | + | 1305.05i | −1.18058 | + | 2.47168i | ||||
\(529\) | 247.291 | − | 428.321i | 0.467469 | − | 0.809680i | ||||
\(530\) | −909.080 | − | 507.268i | −1.71524 | − | 0.957110i | ||||
\(531\) | 37.5173 | + | 238.551i | 0.0706540 | + | 0.449248i | ||||
\(532\) | 517.511 | − | 532.885i | 0.972765 | − | 1.00166i | ||||
\(533\) | −209.487 | −0.393035 | ||||||||
\(534\) | 250.129 | + | 364.364i | 0.468407 | + | 0.682330i | ||||
\(535\) | −11.6544 | − | 796.405i | −0.0217838 | − | 1.48861i | ||||
\(536\) | −1876.60 | − | 1083.46i | −3.50112 | − | 2.02137i | ||||
\(537\) | 276.293 | + | 402.477i | 0.514512 | + | 0.749491i | ||||
\(538\) | 1677.40i | 3.11785i | ||||||||
\(539\) | 270.626 | − | 502.126i | 0.502088 | − | 0.931588i | ||||
\(540\) | −926.548 | − | 951.291i | −1.71583 | − | 1.76165i | ||||
\(541\) | −376.475 | − | 652.073i | −0.695887 | − | 1.20531i | −0.969881 | − | 0.243580i | \(-0.921678\pi\) |
0.273994 | − | 0.961731i | \(-0.411655\pi\) | |||||||
\(542\) | −419.076 | + | 725.861i | −0.773203 | + | 1.33923i | ||||
\(543\) | −413.305 | − | 197.412i | −0.761151 | − | 0.363558i | ||||
\(544\) | −105.069 | − | 181.985i | −0.193142 | − | 0.334532i | ||||
\(545\) | 111.149 | − | 66.3589i | 0.203943 | − | 0.121760i | ||||
\(546\) | −460.336 | + | 554.624i | −0.843106 | + | 1.01580i | ||||
\(547\) | − | 760.168i | − | 1.38970i | −0.719153 | − | 0.694852i | \(-0.755470\pi\) | ||
0.719153 | − | 0.694852i | \(-0.244530\pi\) | |||||||
\(548\) | −810.801 | − | 1404.35i | −1.47956 | − | 2.56268i | ||||
\(549\) | 128.408 | − | 333.431i | 0.233894 | − | 0.607343i | ||||
\(550\) | −921.275 | + | 568.475i | −1.67504 | + | 1.03359i | ||||
\(551\) | 358.329 | − | 206.881i | 0.650325 | − | 0.375465i | ||||
\(552\) | −29.7735 | − | 380.953i | −0.0539376 | − | 0.690132i | ||||
\(553\) | −210.493 | − | 53.1121i | −0.380638 | − | 0.0960437i | ||||
\(554\) | 977.768i | 1.76492i | ||||||||
\(555\) | −315.979 | − | 145.286i | −0.569332 | − | 0.261776i | ||||
\(556\) | −1237.08 | + | 2142.68i | −2.22496 | + | 3.85374i | ||||
\(557\) | −427.707 | + | 740.811i | −0.767877 | + | 1.33000i | 0.170835 | + | 0.985300i | \(0.445353\pi\) |
−0.938712 | + | 0.344702i | \(0.887980\pi\) | |||||||
\(558\) | −662.448 | − | 819.873i | −1.18718 | − | 1.46931i | ||||
\(559\) | −268.921 | −0.481075 | ||||||||
\(560\) | −1054.48 | − | 994.490i | −1.88299 | − | 1.77587i | ||||
\(561\) | −108.870 | + | 8.50877i | −0.194064 | + | 0.0151671i | ||||
\(562\) | −853.804 | + | 492.944i | −1.51922 | + | 0.877124i | ||||
\(563\) | 479.723 | − | 830.904i | 0.852083 | − | 1.47585i | −0.0272426 | − | 0.999629i | \(-0.508673\pi\) |
0.879325 | − | 0.476222i | \(-0.157994\pi\) | |||||||
\(564\) | 1601.96 | + | 765.163i | 2.84035 | + | 1.35667i | ||||
\(565\) | 557.363 | + | 311.010i | 0.986484 | + | 0.550460i | ||||
\(566\) | − | 785.123i | − | 1.38714i | ||||||
\(567\) | −314.713 | − | 471.640i | −0.555050 | − | 0.831817i | ||||
\(568\) | 1359.06i | 2.39271i | ||||||||
\(569\) | 888.485 | − | 512.967i | 1.56148 | − | 0.901523i | 0.564377 | − | 0.825517i | \(-0.309117\pi\) |
0.997107 | − | 0.0760060i | \(-0.0242168\pi\) | |||||||
\(570\) | −599.350 | + | 55.6769i | −1.05149 | + | 0.0976787i | ||||
\(571\) | −190.751 | + | 330.391i | −0.334065 | + | 0.578617i | −0.983305 | − | 0.181966i | \(-0.941754\pi\) |
0.649240 | + | 0.760584i | \(0.275087\pi\) | |||||||
\(572\) | −528.292 | − | 915.029i | −0.923588 | − | 1.59970i | ||||
\(573\) | 626.916 | − | 48.9969i | 1.09409 | − | 0.0855095i | ||||
\(574\) | 144.631 | − | 573.197i | 0.251970 | − | 0.998600i | ||||
\(575\) | 69.5855 | − | 129.109i | 0.121018 | − | 0.224537i | ||||
\(576\) | 476.980 | + | 590.331i | 0.828090 | + | 1.02488i | ||||
\(577\) | −119.310 | − | 68.8835i | −0.206776 | − | 0.119382i | 0.393036 | − | 0.919523i | \(-0.371425\pi\) |
−0.599812 | + | 0.800141i | \(0.704758\pi\) | |||||||
\(578\) | −519.321 | + | 899.490i | −0.898479 | + | 1.55621i | ||||
\(579\) | −201.264 | − | 293.181i | −0.347606 | − | 0.506358i | ||||
\(580\) | −966.993 | − | 1619.68i | −1.66723 | − | 2.79255i | ||||
\(581\) | −456.396 | + | 469.954i | −0.785535 | + | 0.808872i | ||||
\(582\) | −1332.47 | + | 104.139i | −2.28946 | + | 0.178934i | ||||
\(583\) | 564.288 | − | 325.792i | 0.967904 | − | 0.558820i | ||||
\(584\) | −815.903 | − | 471.062i | −1.39709 | − | 0.806613i | ||||
\(585\) | 409.190 | − | 70.5042i | 0.699470 | − | 0.120520i | ||||
\(586\) | 448.924 | + | 777.558i | 0.766081 | + | 1.32689i | ||||
\(587\) | 401.054 | 0.683227 | 0.341614 | − | 0.939840i | \(-0.389027\pi\) | ||||
0.341614 | + | 0.939840i | \(0.389027\pi\) | |||||||
\(588\) | −852.909 | − | 1167.66i | −1.45052 | − | 1.98581i | ||||
\(589\) | −339.660 | −0.576672 | ||||||||
\(590\) | 243.166 | − | 435.780i | 0.412146 | − | 0.738611i | ||||
\(591\) | −432.890 | − | 206.766i | −0.732470 | − | 0.349859i | ||||
\(592\) | 831.537 | + | 480.088i | 1.40462 | + | 0.810960i | ||||
\(593\) | 382.801 | + | 663.031i | 0.645533 | + | 1.11810i | 0.984178 | + | 0.177182i | \(0.0566981\pi\) |
−0.338645 | + | 0.940914i | \(0.609969\pi\) | |||||||
\(594\) | 1137.29 | − | 271.081i | 1.91463 | − | 0.456366i | ||||
\(595\) | 25.2200 | − | 106.497i | 0.0423865 | − | 0.178986i | ||||
\(596\) | 2369.06i | 3.97494i | ||||||||
\(597\) | −214.605 | + | 147.322i | −0.359472 | + | 0.246771i | ||||
\(598\) | 174.383 | + | 100.680i | 0.291610 | + | 0.168361i | ||||
\(599\) | −786.962 | − | 454.353i | −1.31379 | − | 0.758519i | −0.331071 | − | 0.943606i | \(-0.607410\pi\) |
−0.982722 | + | 0.185087i | \(0.940743\pi\) | |||||||
\(600\) | 174.323 | + | 1618.96i | 0.290538 | + | 2.69827i | ||||
\(601\) | 614.095 | 1.02179 | 0.510894 | − | 0.859644i | \(-0.329314\pi\) | ||||
0.510894 | + | 0.859644i | \(0.329314\pi\) | |||||||
\(602\) | 185.664 | − | 735.818i | 0.308412 | − | 1.22229i | ||||
\(603\) | 139.556 | + | 887.358i | 0.231436 | + | 1.47157i | ||||
\(604\) | −222.416 | − | 385.236i | −0.368239 | − | 0.637808i | ||||
\(605\) | −1.06184 | − | 72.5613i | −0.00175511 | − | 0.119936i | ||||
\(606\) | 77.1724 | − | 161.569i | 0.127347 | − | 0.266616i | ||||
\(607\) | −253.578 | + | 146.403i | −0.417756 | + | 0.241191i | −0.694117 | − | 0.719862i | \(-0.744205\pi\) |
0.276361 | + | 0.961054i | \(0.410872\pi\) | |||||||
\(608\) | 724.985 | 1.19241 | ||||||||
\(609\) | −279.533 | − | 755.374i | −0.459003 | − | 1.24035i | ||||
\(610\) | −633.983 | + | 378.506i | −1.03932 | + | 0.620502i | ||||
\(611\) | −480.732 | + | 277.551i | −0.786796 | + | 0.454257i | ||||
\(612\) | −99.4860 | + | 258.331i | −0.162559 | + | 0.422110i | ||||
\(613\) | −733.123 | − | 423.269i | −1.19596 | − | 0.690487i | −0.236307 | − | 0.971678i | \(-0.575937\pi\) |
−0.959652 | + | 0.281191i | \(0.909270\pi\) | |||||||
\(614\) | −1219.34 | + | 703.985i | −1.98589 | + | 1.14656i | ||||
\(615\) | −277.913 | + | 196.826i | −0.451891 | + | 0.320043i | ||||
\(616\) | 1702.00 | − | 482.855i | 2.76299 | − | 0.783855i | ||||
\(617\) | −689.661 | −1.11776 | −0.558882 | − | 0.829247i | \(-0.688770\pi\) | ||||
−0.558882 | + | 0.829247i | \(0.688770\pi\) | |||||||
\(618\) | 813.213 | + | 1184.61i | 1.31588 | + | 1.91684i | ||||
\(619\) | −117.419 | + | 203.376i | −0.189692 | + | 0.328556i | −0.945147 | − | 0.326644i | \(-0.894082\pi\) |
0.755456 | + | 0.655200i | \(0.227416\pi\) | |||||||
\(620\) | 22.6584 | + | 1548.37i | 0.0365459 | + | 2.49738i | ||||
\(621\) | −115.077 | + | 108.848i | −0.185309 | + | 0.175279i | ||||
\(622\) | − | 464.529i | − | 0.746831i | ||||||
\(623\) | 67.8258 | − | 268.806i | 0.108870 | − | 0.431470i | ||||
\(624\) | −1142.88 | + | 89.3226i | −1.83154 | + | 0.143145i | ||||
\(625\) | −280.302 | + | 558.619i | −0.448484 | + | 0.893791i | ||||
\(626\) | 744.894 | + | 430.065i | 1.18993 | + | 0.687004i | ||||
\(627\) | 162.379 | − | 339.960i | 0.258978 | − | 0.542202i | ||||
\(628\) | 16.1201 | − | 9.30697i | 0.0256690 | − | 0.0148200i | ||||
\(629\) | 72.4986i | 0.115260i | ||||||||
\(630\) | −89.5932 | + | 1168.30i | −0.142211 | + | 1.85444i | ||||
\(631\) | 43.4343 | 0.0688340 | 0.0344170 | − | 0.999408i | \(-0.489043\pi\) | ||||
0.0344170 | + | 0.999408i | \(0.489043\pi\) | |||||||
\(632\) | −336.660 | − | 583.112i | −0.532689 | − | 0.922645i | ||||
\(633\) | 788.748 | + | 376.739i | 1.24605 | + | 0.595165i | ||||
\(634\) | 299.138 | − | 518.122i | 0.471826 | − | 0.817226i | ||||
\(635\) | 114.962 | − | 206.024i | 0.181042 | − | 0.324448i | ||||
\(636\) | −128.702 | − | 1646.74i | −0.202361 | − | 2.58921i | ||||
\(637\) | 451.934 | − | 13.2324i | 0.709473 | − | 0.0207730i | ||||
\(638\) | 1660.81 | 2.60315 | ||||||||
\(639\) | 438.214 | − | 354.072i | 0.685781 | − | 0.554103i | ||||
\(640\) | −3.28240 | − | 224.304i | −0.00512875 | − | 0.350475i | ||||
\(641\) | 530.429 | + | 306.244i | 0.827503 | + | 0.477759i | 0.852997 | − | 0.521916i | \(-0.174783\pi\) |
−0.0254941 | + | 0.999675i | \(0.508116\pi\) | |||||||
\(642\) | 1465.56 | − | 1006.08i | 2.28280 | − | 1.56710i | ||||
\(643\) | 82.2019i | 0.127841i | 0.997955 | + | 0.0639206i | \(0.0203604\pi\) | ||||
−0.997955 | + | 0.0639206i | \(0.979640\pi\) | |||||||
\(644\) | −281.432 | + | 289.793i | −0.437006 | + | 0.449988i | ||||
\(645\) | −356.759 | + | 252.668i | −0.553115 | + | 0.391733i | ||||
\(646\) | 62.7396 | + | 108.668i | 0.0971201 | + | 0.168217i | ||||
\(647\) | −315.390 | + | 546.272i | −0.487465 | + | 0.844315i | −0.999896 | − | 0.0144137i | \(-0.995412\pi\) |
0.512431 | + | 0.858729i | \(0.328745\pi\) | |||||||
\(648\) | 369.366 | − | 1719.36i | 0.570009 | − | 2.65334i | ||||
\(649\) | 156.173 | + | 270.500i | 0.240636 | + | 0.416794i | ||||
\(650\) | −755.343 | − | 407.105i | −1.16207 | − | 0.626316i | ||||
\(651\) | −111.318 | + | 651.749i | −0.170996 | + | 1.00115i | ||||
\(652\) | 1317.54i | 2.02077i | ||||||||
\(653\) | 155.794 | + | 269.843i | 0.238581 | + | 0.413235i | 0.960307 | − | 0.278944i | \(-0.0899843\pi\) |
−0.721726 | + | 0.692179i | \(0.756651\pi\) | |||||||
\(654\) | 260.704 | + | 124.523i | 0.398630 | + | 0.190403i | ||||
\(655\) | 731.876 | − | 10.7101i | 1.11737 | − | 0.0163512i | ||||
\(656\) | 814.257 | − | 470.111i | 1.24124 | − | 0.716633i | ||||
\(657\) | 60.6759 | + | 385.803i | 0.0923529 | + | 0.587219i | ||||
\(658\) | −427.532 | − | 1506.99i | −0.649745 | − | 2.29026i | ||||
\(659\) | − | 436.936i | − | 0.663029i | −0.943450 | − | 0.331515i | \(-0.892440\pi\) | ||
0.943450 | − | 0.331515i | \(-0.107560\pi\) | |||||||
\(660\) | −1560.57 | − | 717.544i | −2.36451 | − | 1.08719i | ||||
\(661\) | 360.203 | − | 623.889i | 0.544936 | − | 0.943857i | −0.453675 | − | 0.891167i | \(-0.649887\pi\) |
0.998611 | − | 0.0526895i | \(-0.0167794\pi\) | |||||||
\(662\) | −852.747 | + | 1477.00i | −1.28814 | + | 2.23112i | ||||
\(663\) | −48.9878 | − | 71.3606i | −0.0738880 | − | 0.107633i | ||||
\(664\) | −2031.83 | −3.05999 | ||||||||
\(665\) | 274.687 | + | 259.061i | 0.413064 | + | 0.389565i | ||||
\(666\) | −120.591 | − | 766.771i | −0.181068 | − | 1.15131i | ||||
\(667\) | −194.866 | + | 112.506i | −0.292153 | + | 0.168674i | ||||
\(668\) | 116.296 | − | 201.430i | 0.174095 | − | 0.301542i | ||||
\(669\) | −410.573 | + | 859.583i | −0.613711 | + | 1.28488i | ||||
\(670\) | 904.526 | − | 1621.01i | 1.35004 | − | 2.41942i | ||||
\(671\) | − | 462.152i | − | 0.688751i | ||||||
\(672\) | 237.602 | − | 1391.12i | 0.353575 | − | 2.07012i | ||||
\(673\) | 121.980i | 0.181248i | 0.995885 | + | 0.0906240i | \(0.0288861\pi\) | ||||
−0.995885 | + | 0.0906240i | \(0.971114\pi\) | |||||||
\(674\) | 548.960 | − | 316.942i | 0.814481 | − | 0.470241i | ||||
\(675\) | 476.601 | − | 477.992i | 0.706076 | − | 0.708136i | ||||
\(676\) | −412.454 | + | 714.391i | −0.610139 | + | 1.05679i | ||||
\(677\) | −238.050 | − | 412.314i | −0.351624 | − | 0.609031i | 0.634910 | − | 0.772586i | \(-0.281037\pi\) |
−0.986534 | + | 0.163555i | \(0.947704\pi\) | |||||||
\(678\) | 110.995 | + | 1420.18i | 0.163710 | + | 2.09467i | ||||
\(679\) | 601.435 | + | 584.083i | 0.885766 | + | 0.860210i | ||||
\(680\) | 291.451 | − | 174.004i | 0.428604 | − | 0.255889i | ||||
\(681\) | −273.380 | + | 187.670i | −0.401439 | + | 0.275580i | ||||
\(682\) | −1180.71 | − | 681.682i | −1.73124 | − | 0.999534i | ||||
\(683\) | 533.388 | − | 923.855i | 0.780948 | − | 1.35264i | −0.150442 | − | 0.988619i | \(-0.548070\pi\) |
0.931390 | − | 0.364023i | \(-0.118597\pi\) | |||||||
\(684\) | −600.231 | − | 742.871i | −0.877530 | − | 1.08607i | ||||
\(685\) | 707.728 | − | 422.533i | 1.03318 | − | 0.616837i | ||||
\(686\) | −275.810 | + | 1245.71i | −0.402056 | + | 1.81591i | ||||
\(687\) | 22.0531 | + | 282.169i | 0.0321006 | + | 0.410727i | ||||
\(688\) | 1045.27 | − | 603.486i | 1.51929 | − | 0.877160i | ||||
\(689\) | 447.275 | + | 258.234i | 0.649165 | + | 0.374795i | ||||
\(690\) | 325.937 | − | 30.2781i | 0.472373 | − | 0.0438813i | ||||
\(691\) | 200.957 | + | 348.068i | 0.290821 | + | 0.503716i | 0.974004 | − | 0.226531i | \(-0.0727383\pi\) |
−0.683183 | + | 0.730247i | \(0.739405\pi\) | |||||||
\(692\) | 641.047 | 0.926369 | ||||||||
\(693\) | −599.108 | − | 422.994i | −0.864513 | − | 0.610382i | ||||
\(694\) | 2320.99 | 3.34437 | ||||||||
\(695\) | −1098.22 | − | 612.807i | −1.58017 | − | 0.881736i | ||||
\(696\) | 1076.69 | − | 2254.18i | 1.54697 | − | 3.23876i | ||||
\(697\) | 61.4809 | + | 35.4960i | 0.0882079 | + | 0.0509268i | ||||
\(698\) | −47.5714 | − | 82.3960i | −0.0681538 | − | 0.118046i | ||||
\(699\) | 52.5181 | + | 671.969i | 0.0751332 | + | 0.961329i | ||||
\(700\) | 1162.63 | − | 1269.47i | 1.66090 | − | 1.81353i | ||||
\(701\) | 189.635i | 0.270520i | 0.990810 | + | 0.135260i | \(0.0431870\pi\) | ||||
−0.990810 | + | 0.135260i | \(0.956813\pi\) | |||||||
\(702\) | 636.810 | + | 673.251i | 0.907137 | + | 0.959046i | ||||
\(703\) | −216.612 | − | 125.061i | −0.308126 | − | 0.177897i | ||||
\(704\) | 850.141 | + | 490.829i | 1.20759 | + | 0.697201i | ||||
\(705\) | −376.979 | + | 819.885i | −0.534721 | + | 1.16296i | ||||
\(706\) | −733.106 | −1.03839 | ||||||||
\(707\) | −108.053 | + | 30.6544i | −0.152833 | + | 0.0433584i | ||||
\(708\) | 789.388 | − | 61.6950i | 1.11495 | − | 0.0871398i | ||||
\(709\) | 223.924 | + | 387.847i | 0.315830 | + | 0.547034i | 0.979614 | − | 0.200891i | \(-0.0643836\pi\) |
−0.663783 | + | 0.747925i | \(0.731050\pi\) | |||||||
\(710\) | −1164.12 | + | 17.0354i | −1.63961 | + | 0.0239936i | ||||
\(711\) | −100.309 | + | 260.468i | −0.141082 | + | 0.366341i | ||||
\(712\) | 744.651 | − | 429.925i | 1.04586 | − | 0.603827i | ||||
\(713\) | 184.713 | 0.259065 | ||||||||
\(714\) | 229.077 | − | 84.7721i | 0.320836 | − | 0.118728i | ||||
\(715\) | 461.133 | − | 275.309i | 0.644941 | − | 0.385048i | ||||
\(716\) | 1386.25 | − | 800.352i | 1.93610 | − | 1.11781i | ||||
\(717\) | −349.768 | + | 732.282i | −0.487822 | + | 1.02131i | ||||
\(718\) | 1497.51 | + | 864.586i | 2.08566 | + | 1.20416i | ||||
\(719\) | 570.467 | − | 329.359i | 0.793418 | − | 0.458080i | −0.0477467 | − | 0.998859i | \(-0.515204\pi\) |
0.841164 | + | 0.540780i | \(0.181871\pi\) | |||||||
\(720\) | −1432.26 | + | 1192.31i | −1.98925 | + | 1.65598i | ||||
\(721\) | 220.513 | − | 873.932i | 0.305844 | − | 1.21211i | ||||
\(722\) | 909.928 | 1.26029 | ||||||||
\(723\) | −145.853 | + | 100.125i | −0.201733 | + | 0.138486i | ||||
\(724\) | −750.915 | + | 1300.62i | −1.03718 | + | 1.79644i | ||||
\(725\) | 816.007 | − | 503.519i | 1.12553 | − | 0.694510i | ||||
\(726\) | 133.528 | − | 91.6649i | 0.183924 | − | 0.126260i | ||||
\(727\) | − | 487.145i | − | 0.670075i | −0.942205 | − | 0.335038i | \(-0.891251\pi\) | ||
0.942205 | − | 0.335038i | \(-0.108749\pi\) | |||||||
\(728\) | 1005.98 | + | 976.961i | 1.38185 | + | 1.34198i | ||||
\(729\) | −650.618 | + | 328.842i | −0.892481 | + | 0.451086i | ||||
\(730\) | 393.268 | − | 704.778i | 0.538723 | − | 0.965449i | ||||
\(731\) | 78.9236 | + | 45.5665i | 0.107967 | + | 0.0623345i | ||||
\(732\) | −1057.15 | − | 504.940i | −1.44420 | − | 0.689809i | ||||
\(733\) | 281.918 | − | 162.765i | 0.384608 | − | 0.222054i | −0.295213 | − | 0.955431i | \(-0.595391\pi\) |
0.679821 | + | 0.733378i | \(0.262057\pi\) | |||||||
\(734\) | 1520.46i | 2.07147i | ||||||||
\(735\) | 587.118 | − | 442.174i | 0.798799 | − | 0.601598i | ||||
\(736\) | −394.260 | −0.535679 | ||||||||
\(737\) | 580.930 | + | 1006.20i | 0.788236 | + | 1.36526i | ||||
\(738\) | −709.286 | − | 273.153i | −0.961092 | − | 0.370127i | ||||
\(739\) | −147.919 | + | 256.204i | −0.200161 | + | 0.346690i | −0.948580 | − | 0.316537i | \(-0.897480\pi\) |
0.748419 | + | 0.663226i | \(0.230813\pi\) | |||||||
\(740\) | −555.654 | + | 995.792i | −0.750884 | + | 1.34566i | ||||
\(741\) | 297.717 | − | 23.2682i | 0.401777 | − | 0.0314011i | ||||
\(742\) | −1015.38 | + | 1045.54i | −1.36843 | + | 1.40908i | ||||
\(743\) | −509.432 | −0.685642 | −0.342821 | − | 0.939401i | \(-0.611382\pi\) | ||||
−0.342821 | + | 0.939401i | \(0.611382\pi\) | |||||||
\(744\) | −1690.68 | + | 1160.62i | −2.27242 | + | 1.55997i | ||||
\(745\) | −1204.07 | + | 17.6200i | −1.61621 | + | 0.0236511i | ||||
\(746\) | −2343.44 | − | 1352.99i | −3.14134 | − | 1.81365i | ||||
\(747\) | 529.346 | + | 655.142i | 0.708630 | + | 0.877030i | ||||
\(748\) | 358.060i | 0.478690i | ||||||||
\(749\) | −1081.20 | − | 272.811i | −1.44352 | − | 0.364234i | ||||
\(750\) | −1384.56 | + | 169.612i | −1.84608 | + | 0.226149i | ||||
\(751\) | 435.784 | + | 754.800i | 0.580272 | + | 1.00506i | 0.995447 | + | 0.0953188i | \(0.0303870\pi\) |
−0.415175 | + | 0.909742i | \(0.636280\pi\) | |||||||
\(752\) | 1245.70 | − | 2157.62i | 1.65652 | − | 2.86918i | ||||
\(753\) | 49.1401 | − | 102.881i | 0.0652591 | − | 0.136628i | ||||
\(754\) | 658.207 | + | 1140.05i | 0.872954 | + | 1.51200i | ||||
\(755\) | 194.141 | − | 115.908i | 0.257141 | − | 0.153520i | ||||
\(756\) | −1622.16 | + | 908.274i | −2.14571 | + | 1.20142i | ||||
\(757\) | 723.110i | 0.955231i | 0.878569 | + | 0.477615i | \(0.158499\pi\) | ||||
−0.878569 | + | 0.477615i | \(0.841501\pi\) | |||||||
\(758\) | −478.616 | − | 828.987i | −0.631420 | − | 1.09365i | ||||
\(759\) | −88.3048 | + | 184.876i | −0.116344 | + | 0.243579i | ||||
\(760\) | 17.1355 | + | 1170.96i | 0.0225467 | + | 1.54074i | ||||
\(761\) | 911.610 | − | 526.318i | 1.19791 | − | 0.691614i | 0.237821 | − | 0.971309i | \(-0.423567\pi\) |
0.960089 | + | 0.279695i | \(0.0902334\pi\) | |||||||
\(762\) | 524.958 | − | 41.0284i | 0.688921 | − | 0.0538430i | ||||
\(763\) | −49.4631 | − | 174.351i | −0.0648271 | − | 0.228507i | ||||
\(764\) | − | 2061.85i | − | 2.69876i | ||||||
\(765\) | −132.036 | − | 48.6423i | −0.172597 | − | 0.0635847i | ||||
\(766\) | 236.631 | − | 409.857i | 0.308918 | − | 0.535061i | ||||
\(767\) | −123.788 | + | 214.407i | −0.161393 | + | 0.279540i | ||||
\(768\) | −421.500 | + | 289.352i | −0.548828 | + | 0.376760i | ||||
\(769\) | −855.690 | −1.11273 | −0.556365 | − | 0.830938i | \(-0.687804\pi\) | ||||
−0.556365 | + | 0.830938i | \(0.687804\pi\) | |||||||
\(770\) | 434.930 | + | 1451.82i | 0.564844 | + | 1.88548i | ||||
\(771\) | 100.020 | + | 1279.76i | 0.129728 | + | 1.65987i | ||||
\(772\) | −1009.80 | + | 583.011i | −1.30804 | + | 0.755196i | ||||
\(773\) | 603.552 | − | 1045.38i | 0.780792 | − | 1.35237i | −0.150689 | − | 0.988581i | \(-0.548149\pi\) |
0.931481 | − | 0.363790i | \(-0.118517\pi\) | |||||||
\(774\) | −910.517 | − | 350.649i | −1.17638 | − | 0.453035i | ||||
\(775\) | −786.790 | + | 23.0322i | −1.01521 | + | 0.0297190i | ||||
\(776\) | 2600.28i | 3.35088i | ||||||||
\(777\) | −310.962 | + | 374.655i | −0.400209 | + | 0.482181i | ||||
\(778\) | − | 395.225i | − | 0.508002i | ||||||
\(779\) | −212.111 | + | 122.462i | −0.272286 | + | 0.157205i | ||||
\(780\) | −125.931 | − | 1355.62i | −0.161450 | − | 1.73797i | ||||
\(781\) | 364.352 | − | 631.077i | 0.466520 | − | 0.808037i | ||||
\(782\) | −34.1189 | − | 59.0957i | −0.0436303 | − | 0.0755699i | ||||
\(783\) | −1007.34 | + | 240.107i | −1.28651 | + | 0.306650i | ||||
\(784\) | −1726.93 | + | 1065.62i | −2.20271 | + | 1.35921i | ||||
\(785\) | 4.85015 | + | 8.12382i | 0.00617853 | + | 0.0103488i | ||||
\(786\) | 924.562 | + | 1346.81i | 1.17629 | + | 1.71350i | ||||
\(787\) | 64.9569 | + | 37.5029i | 0.0825374 | + | 0.0476530i | 0.540701 | − | 0.841215i | \(-0.318159\pi\) |
−0.458163 | + | 0.888868i | \(0.651493\pi\) | |||||||
\(788\) | −786.498 | + | 1362.26i | −0.998094 | + | 1.72875i | ||||
\(789\) | −85.0561 | + | 58.3895i | −0.107802 | + | 0.0740044i | ||||
\(790\) | 495.252 | − | 295.680i | 0.626902 | − | 0.374278i | ||||
\(791\) | 622.535 | − | 641.029i | 0.787022 | − | 0.810403i | ||||
\(792\) | −353.393 | − | 2247.02i | −0.446204 | − | 2.83715i | ||||
\(793\) | 317.241 | − | 183.159i | 0.400051 | − | 0.230970i | ||||
\(794\) | 434.773 | + | 251.016i | 0.547573 | + | 0.316141i | ||||
\(795\) | 835.995 | − | 77.6601i | 1.05157 | − | 0.0976857i | ||||
\(796\) | 426.756 | + | 739.163i | 0.536125 | + | 0.928596i | ||||
\(797\) | 310.943 | 0.390142 | 0.195071 | − | 0.980789i | \(-0.437506\pi\) | ||||
0.195071 | + | 0.980789i | \(0.437506\pi\) | |||||||
\(798\) | −141.878 | + | 830.673i | −0.177792 | + | 1.04094i | ||||
\(799\) | 188.115 | 0.235438 | ||||||||
\(800\) | 1679.36 | − | 49.1610i | 2.09920 | − | 0.0614512i | ||||
\(801\) | −332.626 | − | 128.098i | −0.415263 | − | 0.159922i | ||||
\(802\) | −1406.48 | − | 812.032i | −1.75372 | − | 1.01251i | ||||
\(803\) | 252.575 | + | 437.473i | 0.314539 | + | 0.544798i | ||||
\(804\) | 2936.35 | − | 229.492i | 3.65218 | − | 0.285438i | ||||
\(805\) | −149.380 | − | 140.882i | −0.185565 | − | 0.175009i | ||||
\(806\) | − | 1080.65i | − | 1.34076i | ||||||
\(807\) | −765.646 | − | 1115.32i | −0.948756 | − | 1.38206i | ||||
\(808\) | −301.687 | − | 174.179i | −0.373375 | − | 0.215568i | ||||
\(809\) | 816.209 | + | 471.238i | 1.00891 | + | 0.582495i | 0.910873 | − | 0.412688i | \(-0.135410\pi\) |
0.0980383 | + | 0.995183i | \(0.468743\pi\) | |||||||
\(810\) | 1477.37 | + | 294.834i | 1.82392 | + | 0.363992i | ||||
\(811\) | 129.107 | 0.159195 | 0.0795974 | − | 0.996827i | \(-0.474637\pi\) | ||||
0.0795974 | + | 0.996827i | \(0.474637\pi\) | |||||||
\(812\) | −2540.67 | + | 720.784i | −3.12890 | + | 0.887665i | ||||
\(813\) | −52.6703 | − | 673.917i | −0.0647851 | − | 0.828926i | ||||
\(814\) | −501.985 | − | 869.463i | −0.616689 | − | 1.06814i | ||||
\(815\) | −669.639 | + | 9.79930i | −0.821643 | + | 0.0120237i | ||||
\(816\) | 350.551 | + | 167.438i | 0.429597 | + | 0.205194i | ||||
\(817\) | −272.289 | + | 157.206i | −0.333279 | + | 0.192419i | ||||
\(818\) | −1675.29 | −2.04803 | ||||||||
\(819\) | 52.9243 | − | 578.893i | 0.0646207 | − | 0.706829i | ||||
\(820\) | 572.406 | + | 958.759i | 0.698056 | + | 1.16922i | ||||
\(821\) | 564.281 | − | 325.788i | 0.687310 | − | 0.396818i | −0.115294 | − | 0.993331i | \(-0.536781\pi\) |
0.802603 | + | 0.596513i | \(0.203448\pi\) | |||||||
\(822\) | 1660.00 | + | 792.888i | 2.01947 | + | 0.964584i | ||||
\(823\) | −249.617 | − | 144.116i | −0.303301 | − | 0.175111i | 0.340624 | − | 0.940200i | \(-0.389362\pi\) |
−0.643925 | + | 0.765089i | \(0.722695\pi\) | |||||||
\(824\) | 2420.99 | − | 1397.76i | 2.93809 | − | 1.69631i | ||||
\(825\) | 353.084 | − | 798.497i | 0.427980 | − | 0.967875i | ||||
\(826\) | −501.195 | − | 486.735i | −0.606774 | − | 0.589268i | ||||
\(827\) | −540.269 | −0.653287 | −0.326644 | − | 0.945148i | \(-0.605918\pi\) | ||||
−0.326644 | + | 0.945148i | \(0.605918\pi\) | |||||||
\(828\) | 326.416 | + | 403.986i | 0.394222 | + | 0.487906i | ||||
\(829\) | −12.6660 | + | 21.9382i | −0.0152787 | + | 0.0264634i | −0.873564 | − | 0.486710i | \(-0.838197\pi\) |
0.858285 | + | 0.513173i | \(0.171530\pi\) | |||||||
\(830\) | −25.4684 | − | 1740.39i | −0.0306848 | − | 2.09686i | ||||
\(831\) | −446.299 | − | 650.126i | −0.537063 | − | 0.782341i | ||||
\(832\) | 778.097i | 0.935213i | ||||||||
\(833\) | −134.877 | − | 72.6932i | −0.161917 | − | 0.0872667i | ||||
\(834\) | −218.702 | − | 2798.30i | −0.262233 | − | 3.35527i | ||||
\(835\) | 103.241 | + | 57.6089i | 0.123642 | + | 0.0689927i | ||||
\(836\) | −1069.82 | − | 617.659i | −1.27968 | − | 0.738826i | ||||
\(837\) | 814.696 | + | 242.768i | 0.973352 | + | 0.290045i | ||||
\(838\) | −2238.87 | + | 1292.61i | −2.67168 | + | 1.54250i | ||||
\(839\) | 1510.52i | 1.80038i | 0.435496 | + | 0.900191i | \(0.356573\pi\) | ||||
−0.435496 | + | 0.900191i | \(0.643427\pi\) | |||||||
\(840\) | 2252.49 | + | 350.884i | 2.68153 | + | 0.417719i | ||||
\(841\) | −630.039 | −0.749154 | ||||||||
\(842\) | 213.609 | + | 369.982i | 0.253693 | + | 0.439409i | ||||
\(843\) | 342.698 | − | 717.478i | 0.406522 | − | 0.851101i | ||||
\(844\) | 1433.04 | − | 2482.10i | 1.69792 | − | 2.94088i | ||||
\(845\) | −366.156 | − | 204.316i | −0.433321 | − | 0.241794i | ||||
\(846\) | −1989.57 | + | 312.903i | −2.35174 | + | 0.369862i | ||||
\(847\) | −98.5092 | − | 24.8561i | −0.116304 | − | 0.0293461i | ||||
\(848\) | −2318.01 | −2.73351 | ||||||||
\(849\) | 358.367 | + | 522.034i | 0.422105 | + | 0.614881i | ||||
\(850\) | 152.699 | + | 247.465i | 0.179646 | + | 0.291135i | ||||
\(851\) | 117.798 | + | 68.0105i | 0.138423 | + | 0.0799184i | ||||
\(852\) | −1045.47 | − | 1522.94i | −1.22708 | − | 1.78749i | ||||
\(853\) | − | 1670.44i | − | 1.95832i | −0.203102 | − | 0.979158i | \(-0.565102\pi\) | ||
0.203102 | − | 0.979158i | \(-0.434898\pi\) | |||||||
\(854\) | 282.133 | + | 994.483i | 0.330367 | + | 1.16450i | ||||
\(855\) | 373.099 | − | 310.592i | 0.436373 | − | 0.363265i | ||||
\(856\) | −1729.26 | − | 2995.16i | −2.02016 | − | 3.49902i | ||||
\(857\) | 7.88687 | − | 13.6605i | 0.00920288 | − | 0.0159399i | −0.861387 | − | 0.507949i | \(-0.830404\pi\) |
0.870590 | + | 0.492009i | \(0.163737\pi\) | |||||||
\(858\) | 1081.61 | + | 516.621i | 1.26061 | + | 0.602122i | ||||
\(859\) | −714.577 | − | 1237.68i | −0.831871 | − | 1.44084i | −0.896553 | − | 0.442937i | \(-0.853937\pi\) |
0.0646819 | − | 0.997906i | \(-0.479397\pi\) | |||||||
\(860\) | 734.803 | + | 1230.77i | 0.854422 | + | 1.43113i | ||||
\(861\) | 165.468 | + | 447.139i | 0.192181 | + | 0.519325i | ||||
\(862\) | − | 1341.13i | − | 1.55583i | ||||||
\(863\) | 206.513 | + | 357.692i | 0.239297 | + | 0.414475i | 0.960513 | − | 0.278236i | \(-0.0897496\pi\) |
−0.721216 | + | 0.692711i | \(0.756416\pi\) | |||||||
\(864\) | −1738.92 | − | 518.174i | −2.01264 | − | 0.599739i | ||||
\(865\) | 4.76783 | + | 325.811i | 0.00551194 | + | 0.376661i | ||||
\(866\) | −1903.09 | + | 1098.75i | −2.19757 | + | 1.26877i | ||||
\(867\) | −65.2692 | − | 835.120i | −0.0752817 | − | 0.963230i | ||||
\(868\) | 2102.07 | + | 530.401i | 2.42174 | + | 0.611061i | ||||
\(869\) | 361.022i | 0.415445i | ||||||||
\(870\) | 1944.34 | + | 893.999i | 2.23488 | + | 1.02758i | ||||
\(871\) | −460.465 | + | 797.550i | −0.528663 | + | 0.915671i | ||||
\(872\) | 281.051 | − | 486.794i | 0.322306 | − | 0.558250i | ||||
\(873\) | 838.432 | − | 677.443i | 0.960404 | − | 0.775995i | ||||
\(874\) | 235.423 | 0.269362 | ||||||||
\(875\) | 653.854 | + | 581.464i | 0.747262 | + | 0.664530i | ||||
\(876\) | 1276.66 | − | 99.7779i | 1.45737 | − | 0.113902i | ||||
\(877\) | 590.516 | − | 340.935i | 0.673336 | − | 0.388751i | −0.124003 | − | 0.992282i | \(-0.539573\pi\) |
0.797340 | + | 0.603531i | \(0.206240\pi\) | |||||||
\(878\) | −874.700 | + | 1515.02i | −0.996241 | + | 1.72554i | ||||
\(879\) | −653.407 | − | 312.095i | −0.743353 | − | 0.355057i | ||||
\(880\) | −1174.56 | + | 2104.93i | −1.33472 | + | 2.39197i | ||||
\(881\) | − | 1255.68i | − | 1.42529i | −0.701525 | − | 0.712644i | \(-0.747497\pi\) | ||
0.701525 | − | 0.712644i | \(-0.252503\pi\) | |||||||
\(882\) | 1547.42 | + | 544.480i | 1.75444 | + | 0.617324i | ||||
\(883\) | 533.108i | 0.603746i | 0.953348 | + | 0.301873i | \(0.0976119\pi\) | ||||
−0.953348 | + | 0.301873i | \(0.902388\pi\) | |||||||
\(884\) | −245.787 | + | 141.905i | −0.278040 | + | 0.160526i | ||||
\(885\) | 37.2275 | + | 400.746i | 0.0420650 | + | 0.452821i | ||||
\(886\) | −370.727 | + | 642.118i | −0.418428 | + | 0.724739i | ||||
\(887\) | 474.138 | + | 821.231i | 0.534541 | + | 0.925852i | 0.999185 | + | 0.0403546i | \(0.0128488\pi\) |
−0.464645 | + | 0.885497i | \(0.653818\pi\) | |||||||
\(888\) | −1505.54 | + | 117.666i | −1.69542 | + | 0.132507i | ||||
\(889\) | −236.950 | − | 230.114i | −0.266536 | − | 0.258846i | ||||
\(890\) | 377.592 | + | 632.452i | 0.424261 | + | 0.710621i | ||||
\(891\) | −632.460 | + | 699.358i | −0.709831 | + | 0.784913i | ||||
\(892\) | 2705.01 | + | 1561.74i | 3.03252 | + | 1.75083i | ||||
\(893\) | −324.502 | + | 562.053i | −0.363384 | + | 0.629399i | ||||
\(894\) | −1521.08 | − | 2215.76i | −1.70143 | − | 2.47847i | ||||
\(895\) | 417.088 | + | 698.608i | 0.466021 | + | 0.780567i | ||||
\(896\) | −304.515 | − | 76.8362i | −0.339861 | − | 0.0857547i | ||||
\(897\) | −161.904 | + | 12.6537i | −0.180495 | + | 0.0141067i | ||||
\(898\) | −1354.89 | + | 782.245i | −1.50878 | + | 0.871097i | ||||
\(899\) | 1045.80 | + | 603.791i | 1.16329 | + | 0.671626i | ||||
\(900\) | −1440.75 | − | 1680.09i | −1.60083 | − | 1.86676i | ||||
\(901\) | −87.5115 | − | 151.574i | −0.0971270 | − | 0.168229i | ||||
\(902\) | −983.106 | −1.08992 | ||||||||
\(903\) | 212.413 | + | 573.997i | 0.235230 | + | 0.635655i | ||||
\(904\) | 2771.47 | 3.06578 | ||||||||
\(905\) | −666.625 | − | 371.978i | −0.736602 | − | 0.411025i | ||||
\(906\) | 455.367 | + | 217.502i | 0.502612 | + | 0.240069i | ||||
\(907\) | 716.729 | + | 413.803i | 0.790219 | + | 0.456233i | 0.840040 | − | 0.542525i | \(-0.182532\pi\) |
−0.0498207 | + | 0.998758i | \(0.515865\pi\) | |||||||
\(908\) | 543.634 | + | 941.602i | 0.598716 | + | 1.03701i | ||||
\(909\) | 22.4354 | + | 142.654i | 0.0246814 | + | 0.156935i | ||||
\(910\) | −824.220 | + | 873.936i | −0.905736 | + | 0.960370i | ||||
\(911\) | − | 69.0341i | − | 0.0757784i | −0.999282 | − | 0.0378892i | \(-0.987937\pi\) | ||
0.999282 | − | 0.0378892i | \(-0.0120634\pi\) | |||||||
\(912\) | −1104.98 | + | 758.548i | −1.21160 | + | 0.831742i | ||||
\(913\) | 943.476 | + | 544.716i | 1.03338 | + | 0.596623i | ||||
\(914\) | 1613.45 | + | 931.527i | 1.76526 | + | 1.01918i | ||||
\(915\) | 248.773 | − | 541.052i | 0.271883 | − | 0.591313i | ||||
\(916\) | 928.022 | 1.01312 | ||||||||
\(917\) | 250.707 | − | 993.595i | 0.273399 | − | 1.08353i | ||||
\(918\) | −72.8156 | − | 305.490i | −0.0793198 | − | 0.332777i | ||||
\(919\) | −444.005 | − | 769.040i | −0.483139 | − | 0.836822i | 0.516673 | − | 0.856183i | \(-0.327170\pi\) |
−0.999813 | + | 0.0193606i | \(0.993837\pi\) | |||||||
\(920\) | −9.31858 | − | 636.789i | −0.0101289 | − | 0.692162i | ||||
\(921\) | 489.415 | − | 1024.65i | 0.531396 | − | 1.11254i | ||||
\(922\) | −221.998 | + | 128.170i | −0.240779 | + | 0.139014i | ||||
\(923\) | 577.597 | 0.625782 | ||||||||
\(924\) | −1535.80 | + | 1850.36i | −1.66212 | + | 2.00256i | ||||
\(925\) | −510.243 | − | 275.004i | −0.551614 | − | 0.297302i | ||||
\(926\) | −234.183 | + | 135.206i | −0.252897 | + | 0.146010i | ||||
\(927\) | −1081.42 | − | 416.467i | −1.16658 | − | 0.449263i | ||||
\(928\) | −2232.20 | − | 1288.76i | −2.40538 | − | 1.38875i | ||||
\(929\) | 84.4871 | − | 48.7786i | 0.0909441 | − | 0.0525066i | −0.453838 | − | 0.891084i | \(-0.649946\pi\) |
0.544782 | + | 0.838577i | \(0.316612\pi\) | |||||||
\(930\) | −1015.34 | − | 1433.63i | −1.09176 | − | 1.54153i | ||||
\(931\) | 449.858 | − | 277.590i | 0.483199 | − | 0.298163i | ||||
\(932\) | 2210.03 | 2.37127 | ||||||||
\(933\) | 212.033 | + | 308.869i | 0.227259 | + | 0.331049i | ||||
\(934\) | 250.821 | − | 434.434i | 0.268545 | − | 0.465133i | ||||
\(935\) | −181.983 | + | 2.66309i | −0.194635 | + | 0.00284823i | ||||
\(936\) | 1402.40 | − | 1133.12i | 1.49829 | − | 1.21060i | ||||
\(937\) | − | 297.973i | − | 0.318008i | −0.987278 | − | 0.159004i | \(-0.949172\pi\) | ||
0.987278 | − | 0.159004i | \(-0.0508282\pi\) | |||||||
\(938\) | −1864.34 | − | 1810.55i | −1.98757 | − | 1.93022i | ||||
\(939\) | −691.587 | + | 54.0513i | −0.736515 | + | 0.0575627i | ||||
\(940\) | 2583.82 | + | 1441.78i | 2.74875 | + | 1.53381i | ||||
\(941\) | −1498.40 | − | 865.100i | −1.59234 | − | 0.919341i | −0.992904 | − | 0.118922i | \(-0.962056\pi\) |
−0.599441 | − | 0.800419i | \(-0.704611\pi\) | |||||||
\(942\) | −9.10135 | + | 19.0548i | −0.00966173 | + | 0.0202280i | ||||
\(943\) | 115.350 | − | 66.5972i | 0.122322 | − | 0.0706227i | ||||
\(944\) | − | 1111.17i | − | 1.17709i | ||||||
\(945\) | −473.694 | − | 817.703i | −0.501264 | − | 0.865295i | ||||
\(946\) | −1262.02 | −1.33406 | ||||||||
\(947\) | 186.517 | + | 323.056i | 0.196955 | + | 0.341137i | 0.947540 | − | 0.319638i | \(-0.103561\pi\) |
−0.750584 | + | 0.660775i | \(0.770228\pi\) | |||||||
\(948\) | 825.821 | + | 394.447i | 0.871119 | + | 0.416083i | ||||
\(949\) | −200.200 | + | 346.756i | −0.210959 | + | 0.365391i | ||||
\(950\) | −1002.79 | + | 29.3553i | −1.05557 | + | 0.0309003i | ||||
\(951\) | 37.5962 | + | 481.044i | 0.0395333 | + | 0.505829i | ||||
\(952\) | −129.700 | − | 457.177i | −0.136240 | − | 0.480228i | ||||
\(953\) | −215.752 | −0.226393 | −0.113196 | − | 0.993573i | \(-0.536109\pi\) | ||||
−0.113196 | + | 0.993573i | \(0.536109\pi\) | |||||||
\(954\) | 1177.67 | + | 1457.54i | 1.23446 | + | 1.52782i | ||||
\(955\) | 1047.93 | − | 15.3352i | 1.09731 | − | 0.0160578i | ||||
\(956\) | 2304.41 | + | 1330.45i | 2.41047 | + | 1.39168i | ||||
\(957\) | −1104.28 | + | 758.071i | −1.15390 | + | 0.792133i | ||||
\(958\) | − | 1750.12i | − | 1.82685i | ||||||
\(959\) | −314.951 | − | 1110.16i | −0.328416 | − | 1.15762i | ||||
\(960\) | 731.070 | + | 1032.25i | 0.761531 | + | 1.07526i | ||||
\(961\) | −15.1552 | − | 26.2495i | −0.0157702 | − | 0.0273148i | ||||
\(962\) | 397.891 | − | 689.167i | 0.413608 | − | 0.716390i | ||||
\(963\) | −515.239 | + | 1337.90i | −0.535035 | + | 1.38930i | ||||
\(964\) | 290.038 | + | 502.361i | 0.300870 | + | 0.521121i | ||||
\(965\) | −303.825 | − | 508.896i | −0.314845 | − | 0.527353i | ||||
\(966\) | 77.1560 | − | 451.735i | 0.0798716 | − | 0.467634i | ||||
\(967\) | − | 861.396i | − | 0.890792i | −0.895334 | − | 0.445396i | \(-0.853063\pi\) | ||
0.895334 | − | 0.445396i | \(-0.146937\pi\) | |||||||
\(968\) | −157.554 | − | 272.892i | −0.162763 | − | 0.281914i | ||||
\(969\) | −91.3173 | − | 43.6170i | −0.0942387 | − | 0.0450124i | ||||
\(970\) | −2227.31 | + | 32.5938i | −2.29620 | + | 0.0336018i | ||||
\(971\) | 772.696 | − | 446.116i | 0.795774 | − | 0.459440i | −0.0462176 | − | 0.998931i | \(-0.514717\pi\) |
0.841991 | + | 0.539491i | \(0.181383\pi\) | |||||||
\(972\) | 908.733 | + | 2210.83i | 0.934910 | + | 2.27452i | ||||
\(973\) | −1226.63 | + | 1263.07i | −1.26067 | + | 1.29812i | ||||
\(974\) | 746.033i | 0.765947i | ||||||||
\(975\) | 688.055 | − | 74.0867i | 0.705698 | − | 0.0759864i | ||||
\(976\) | −822.055 | + | 1423.84i | −0.842270 | + | 1.45885i | ||||
\(977\) | −362.674 | + | 628.171i | −0.371212 | + | 0.642959i | −0.989752 | − | 0.142795i | \(-0.954391\pi\) |
0.618540 | + | 0.785753i | \(0.287724\pi\) | |||||||
\(978\) | −845.938 | − | 1232.28i | −0.864968 | − | 1.26000i | ||||
\(979\) | −461.036 | −0.470925 | ||||||||
\(980\) | −1295.43 | − | 2032.21i | −1.32187 | − | 2.07368i | ||||
\(981\) | −230.182 | + | 36.2012i | −0.234641 | + | 0.0369023i | ||||
\(982\) | 2399.20 | − | 1385.18i | 2.44318 | − | 1.41057i | ||||
\(983\) | −51.0316 | + | 88.3893i | −0.0519141 | + | 0.0899179i | −0.890815 | − | 0.454367i | \(-0.849866\pi\) |
0.838901 | + | 0.544285i | \(0.183199\pi\) | |||||||
\(984\) | −637.341 | + | 1334.35i | −0.647704 | + | 1.35604i | ||||
\(985\) | −698.214 | − | 389.605i | −0.708847 | − | 0.395538i | ||||
\(986\) | − | 446.112i | − | 0.452446i | ||||||
\(987\) | 972.133 | + | 806.866i | 0.984937 | + | 0.817494i | ||||
\(988\) | − | 979.156i | − | 0.991049i | ||||||
\(989\) | 148.075 | − | 85.4914i | 0.149722 | − | 0.0864423i | ||||
\(990\) | 1920.29 | − | 330.870i | 1.93969 | − | 0.334212i | ||||
\(991\) | −788.453 | + | 1365.64i | −0.795614 | + | 1.37804i | 0.126835 | + | 0.991924i | \(0.459518\pi\) |
−0.922449 | + | 0.386120i | \(0.873815\pi\) | |||||||
\(992\) | 1057.95 | + | 1832.42i | 1.06648 | + | 1.84720i | ||||
\(993\) | −107.175 | − | 1371.30i | −0.107930 | − | 1.38097i | ||||
\(994\) | −398.775 | + | 1580.41i | −0.401182 | + | 1.58995i | ||||
\(995\) | −372.504 | + | 222.396i | −0.374376 | + | 0.223513i | ||||
\(996\) | 2276.84 | − | 1563.01i | 2.28599 | − | 1.56929i | ||||
\(997\) | 46.1312 | + | 26.6339i | 0.0462700 | + | 0.0267140i | 0.522957 | − | 0.852359i | \(-0.324829\pi\) |
−0.476687 | + | 0.879073i | \(0.658162\pi\) | |||||||
\(998\) | 997.834 | − | 1728.30i | 0.999833 | − | 1.73176i | ||||
\(999\) | 430.173 | + | 454.788i | 0.430603 | + | 0.455244i |
(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 | 105.3.o.b.74.19 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.74.1 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.74.2 | yes | 40 | |
7.2 | even | 3 | inner | 105.3.o.b.44.20 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.74.20 | yes | 40 | |
21.2 | odd | 6 | inner | 105.3.o.b.44.2 | yes | 40 | |
35.9 | even | 6 | inner | 105.3.o.b.44.1 | ✓ | 40 | |
105.44 | odd | 6 | inner | 105.3.o.b.44.19 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.1 | ✓ | 40 | 35.9 | even | 6 | inner | |
105.3.o.b.44.2 | yes | 40 | 21.2 | odd | 6 | inner | |
105.3.o.b.44.19 | yes | 40 | 105.44 | odd | 6 | inner | |
105.3.o.b.44.20 | yes | 40 | 7.2 | even | 3 | inner | |
105.3.o.b.74.1 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.2 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.74.19 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.20 | yes | 40 | 15.14 | odd | 2 | inner |