Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
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, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (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: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.13 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.50527 | − | 0.869067i | 0.752634 | − | 0.434534i | −0.0740107 | − | 0.997257i | \(-0.523580\pi\) |
0.826645 | + | 0.562724i | \(0.190247\pi\) | |||||||
\(3\) | −1.33489 | + | 2.68664i | −0.444965 | + | 0.895548i | ||||
\(4\) | −0.489445 | + | 0.847743i | −0.122361 | + | 0.211936i | ||||
\(5\) | 1.93649 | − | 1.11803i | 0.387298 | − | 0.223607i | ||||
\(6\) | 0.325501 | + | 5.20423i | 0.0542501 | + | 0.867372i | ||||
\(7\) | 2.93407 | + | 6.35541i | 0.419153 | + | 0.907916i | ||||
\(8\) | 8.65398i | 1.08175i | ||||||||
\(9\) | −5.43612 | − | 7.17277i | −0.604013 | − | 0.796975i | ||||
\(10\) | 1.94329 | − | 3.36588i | 0.194329 | − | 0.336588i | ||||
\(11\) | 11.0674 | + | 6.38976i | 1.00613 | + | 0.580887i | 0.910055 | − | 0.414487i | \(-0.136039\pi\) |
0.0960710 | + | 0.995374i | \(0.469372\pi\) | |||||||
\(12\) | −1.62423 | − | 2.44661i | −0.135352 | − | 0.203884i | ||||
\(13\) | 0.690184 | 0.0530911 | 0.0265455 | − | 0.999648i | \(-0.491549\pi\) | ||||
0.0265455 | + | 0.999648i | \(0.491549\pi\) | |||||||
\(14\) | 9.93984 | + | 7.01669i | 0.709989 | + | 0.501192i | ||||
\(15\) | 0.418749 | + | 6.69512i | 0.0279166 | + | 0.446341i | ||||
\(16\) | 5.56311 | + | 9.63559i | 0.347694 | + | 0.602224i | ||||
\(17\) | −12.5056 | − | 7.22012i | −0.735625 | − | 0.424713i | 0.0848518 | − | 0.996394i | \(-0.472958\pi\) |
−0.820476 | + | 0.571681i | \(0.806292\pi\) | |||||||
\(18\) | −14.4164 | − | 6.07260i | −0.800913 | − | 0.337366i | ||||
\(19\) | −13.8399 | − | 23.9714i | −0.728415 | − | 1.26165i | −0.957553 | − | 0.288258i | \(-0.906924\pi\) |
0.229138 | − | 0.973394i | \(-0.426409\pi\) | |||||||
\(20\) | 2.18886i | 0.109443i | ||||||||
\(21\) | −20.9914 | − | 0.600994i | −0.999590 | − | 0.0286188i | ||||
\(22\) | 22.2125 | 1.00966 | ||||||||
\(23\) | 37.3582 | − | 21.5687i | 1.62427 | − | 0.937771i | 0.638507 | − | 0.769616i | \(-0.279552\pi\) |
0.985760 | − | 0.168156i | \(-0.0537811\pi\) | |||||||
\(24\) | −23.2502 | − | 11.5521i | −0.968757 | − | 0.481339i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | 1.03891 | − | 0.599816i | 0.0399581 | − | 0.0230698i | ||||
\(27\) | 26.5273 | − | 5.03002i | 0.982493 | − | 0.186297i | ||||
\(28\) | −6.82382 | − | 0.623284i | −0.243708 | − | 0.0222601i | ||||
\(29\) | − | 26.6616i | − | 0.919366i | −0.888083 | − | 0.459683i | \(-0.847963\pi\) | ||
0.888083 | − | 0.459683i | \(-0.152037\pi\) | |||||||
\(30\) | 6.44884 | + | 9.71403i | 0.214961 | + | 0.323801i | ||||
\(31\) | −8.94214 | + | 15.4882i | −0.288456 | + | 0.499621i | −0.973441 | − | 0.228936i | \(-0.926475\pi\) |
0.684985 | + | 0.728557i | \(0.259809\pi\) | |||||||
\(32\) | −13.2303 | − | 7.63853i | −0.413447 | − | 0.238704i | ||||
\(33\) | −31.9408 | + | 21.2045i | −0.967903 | + | 0.642560i | ||||
\(34\) | −25.0991 | −0.738208 | ||||||||
\(35\) | 12.7874 | + | 9.02681i | 0.365353 | + | 0.257909i | ||||
\(36\) | 8.74134 | − | 1.09776i | 0.242815 | − | 0.0304932i | ||||
\(37\) | 17.5794 | + | 30.4484i | 0.475119 | + | 0.822930i | 0.999594 | − | 0.0284956i | \(-0.00907164\pi\) |
−0.524475 | + | 0.851426i | \(0.675738\pi\) | |||||||
\(38\) | −41.6655 | − | 24.0556i | −1.09646 | − | 0.633041i | ||||
\(39\) | −0.921322 | + | 1.85428i | −0.0236236 | + | 0.0475456i | ||||
\(40\) | 9.67544 | + | 16.7584i | 0.241886 | + | 0.418959i | ||||
\(41\) | 15.0963i | 0.368202i | 0.982907 | + | 0.184101i | \(0.0589373\pi\) | ||||
−0.982907 | + | 0.184101i | \(0.941063\pi\) | |||||||
\(42\) | −32.1200 | + | 17.3383i | −0.764762 | + | 0.412816i | ||||
\(43\) | −23.1680 | −0.538791 | −0.269395 | − | 0.963030i | \(-0.586824\pi\) | ||||
−0.269395 | + | 0.963030i | \(0.586824\pi\) | |||||||
\(44\) | −10.8337 | + | 6.25487i | −0.246222 | + | 0.142156i | ||||
\(45\) | −18.5464 | − | 7.81225i | −0.412142 | − | 0.173606i | ||||
\(46\) | 37.4894 | − | 64.9335i | 0.814986 | − | 1.41160i | ||||
\(47\) | 38.1508 | − | 22.0264i | 0.811719 | − | 0.468646i | −0.0358338 | − | 0.999358i | \(-0.511409\pi\) |
0.847552 | + | 0.530712i | \(0.178075\pi\) | |||||||
\(48\) | −33.3136 | + | 2.08361i | −0.694032 | + | 0.0434085i | ||||
\(49\) | −31.7825 | + | 37.2944i | −0.648622 | + | 0.761111i | ||||
\(50\) | − | 8.69067i | − | 0.173813i | ||||||
\(51\) | 36.0916 | − | 23.9600i | 0.707678 | − | 0.469805i | ||||
\(52\) | −0.337807 | + | 0.585099i | −0.00649628 | + | 0.0112519i | ||||
\(53\) | 78.5866 | + | 45.3720i | 1.48277 | + | 0.856075i | 0.999809 | − | 0.0195689i | \(-0.00622937\pi\) |
0.482957 | + | 0.875644i | \(0.339563\pi\) | |||||||
\(54\) | 35.5593 | − | 30.6256i | 0.658506 | − | 0.567140i | ||||
\(55\) | 28.5759 | 0.519561 | ||||||||
\(56\) | −54.9996 | + | 25.3914i | −0.982135 | + | 0.453417i | ||||
\(57\) | 82.8774 | − | 5.18359i | 1.45399 | − | 0.0909402i | ||||
\(58\) | −23.1707 | − | 40.1329i | −0.399495 | − | 0.691946i | ||||
\(59\) | −21.3447 | − | 12.3233i | −0.361774 | − | 0.208870i | 0.308085 | − | 0.951359i | \(-0.400312\pi\) |
−0.669859 | + | 0.742489i | \(0.733645\pi\) | |||||||
\(60\) | −5.88070 | − | 2.92190i | −0.0980116 | − | 0.0486983i | ||||
\(61\) | −33.0900 | − | 57.3136i | −0.542460 | − | 0.939568i | −0.998762 | − | 0.0497429i | \(-0.984160\pi\) |
0.456302 | − | 0.889825i | \(-0.349174\pi\) | |||||||
\(62\) | 31.0853i | 0.501375i | ||||||||
\(63\) | 29.6359 | − | 55.5942i | 0.470412 | − | 0.882447i | ||||
\(64\) | −71.0584 | −1.11029 | ||||||||
\(65\) | 1.33654 | − | 0.771649i | 0.0205621 | − | 0.0118715i | ||||
\(66\) | −29.6514 | + | 59.6771i | −0.449263 | + | 0.904199i | ||||
\(67\) | −13.6163 | + | 23.5841i | −0.203228 | + | 0.352001i | −0.949567 | − | 0.313565i | \(-0.898477\pi\) |
0.746339 | + | 0.665566i | \(0.231810\pi\) | |||||||
\(68\) | 12.2416 | − | 7.06770i | 0.180024 | − | 0.103937i | ||||
\(69\) | 8.07836 | + | 129.160i | 0.117078 | + | 1.87188i | ||||
\(70\) | 27.0933 | + | 2.47469i | 0.387047 | + | 0.0353527i | ||||
\(71\) | − | 76.5254i | − | 1.07782i | −0.842362 | − | 0.538912i | \(-0.818836\pi\) | ||
0.842362 | − | 0.538912i | \(-0.181164\pi\) | |||||||
\(72\) | 62.0730 | − | 47.0440i | 0.862125 | − | 0.653389i | ||||
\(73\) | 24.7119 | − | 42.8023i | 0.338520 | − | 0.586333i | −0.645635 | − | 0.763646i | \(-0.723407\pi\) |
0.984155 | + | 0.177313i | \(0.0567405\pi\) | |||||||
\(74\) | 52.9234 | + | 30.5554i | 0.715182 | + | 0.412910i | ||||
\(75\) | 8.29628 | + | 12.4969i | 0.110617 | + | 0.166625i | ||||
\(76\) | 27.0954 | 0.356519 | ||||||||
\(77\) | −8.13704 | + | 89.0858i | −0.105676 | + | 1.15696i | ||||
\(78\) | 0.224655 | + | 3.59188i | 0.00288020 | + | 0.0460497i | ||||
\(79\) | 18.5245 | + | 32.0854i | 0.234487 | + | 0.406144i | 0.959124 | − | 0.282988i | \(-0.0913255\pi\) |
−0.724636 | + | 0.689132i | \(0.757992\pi\) | |||||||
\(80\) | 21.5458 | + | 12.4395i | 0.269323 | + | 0.155494i | ||||
\(81\) | −21.8973 | + | 77.9840i | −0.270337 | + | 0.962766i | ||||
\(82\) | 13.1197 | + | 22.7239i | 0.159996 | + | 0.277121i | ||||
\(83\) | − | 20.0443i | − | 0.241498i | −0.992683 | − | 0.120749i | \(-0.961470\pi\) | ||
0.992683 | − | 0.120749i | \(-0.0385296\pi\) | |||||||
\(84\) | 10.7836 | − | 17.5012i | 0.128376 | − | 0.208347i | ||||
\(85\) | −32.2894 | −0.379875 | ||||||||
\(86\) | −34.8741 | + | 20.1346i | −0.405512 | + | 0.234123i | ||||
\(87\) | 71.6303 | + | 35.5904i | 0.823336 | + | 0.409085i | ||||
\(88\) | −55.2968 | + | 95.7769i | −0.628373 | + | 1.08837i | ||||
\(89\) | −62.7886 | + | 36.2510i | −0.705489 | + | 0.407315i | −0.809389 | − | 0.587273i | \(-0.800201\pi\) |
0.103899 | + | 0.994588i | \(0.466868\pi\) | |||||||
\(90\) | −34.7067 | + | 4.35853i | −0.385630 | + | 0.0484281i | ||||
\(91\) | 2.02505 | + | 4.38640i | 0.0222533 | + | 0.0482022i | ||||
\(92\) | 42.2268i | 0.458987i | ||||||||
\(93\) | −29.6746 | − | 44.6995i | −0.319082 | − | 0.480640i | ||||
\(94\) | 38.2848 | − | 66.3112i | 0.407285 | − | 0.705438i | ||||
\(95\) | −53.6016 | − | 30.9469i | −0.564228 | − | 0.325757i | ||||
\(96\) | 38.1831 | − | 25.3485i | 0.397740 | − | 0.264047i | ||||
\(97\) | 23.2629 | 0.239823 | 0.119912 | − | 0.992785i | \(-0.461739\pi\) | ||||
0.119912 | + | 0.992785i | \(0.461739\pi\) | |||||||
\(98\) | −15.4298 | + | 83.7592i | −0.157447 | + | 0.854686i | ||||
\(99\) | −14.3313 | − | 114.119i | −0.144761 | − | 1.15272i | ||||
\(100\) | 2.44722 | + | 4.23872i | 0.0244722 | + | 0.0423872i | ||||
\(101\) | −124.801 | − | 72.0539i | −1.23565 | − | 0.713405i | −0.267451 | − | 0.963571i | \(-0.586181\pi\) |
−0.968203 | + | 0.250166i | \(0.919515\pi\) | |||||||
\(102\) | 33.5046 | − | 67.4323i | 0.328477 | − | 0.661101i | ||||
\(103\) | 75.7306 | + | 131.169i | 0.735249 | + | 1.27349i | 0.954614 | + | 0.297846i | \(0.0962681\pi\) |
−0.219365 | + | 0.975643i | \(0.570399\pi\) | |||||||
\(104\) | 5.97284i | 0.0574311i | ||||||||
\(105\) | −41.3216 | + | 22.3053i | −0.393539 | + | 0.212431i | ||||
\(106\) | 157.725 | 1.48797 | ||||||||
\(107\) | −35.8969 | + | 20.7251i | −0.335485 | + | 0.193692i | −0.658274 | − | 0.752779i | \(-0.728713\pi\) |
0.322789 | + | 0.946471i | \(0.395380\pi\) | |||||||
\(108\) | −8.71949 | + | 24.9503i | −0.0807360 | + | 0.231021i | ||||
\(109\) | −1.31599 | + | 2.27937i | −0.0120733 | + | 0.0209116i | −0.871999 | − | 0.489508i | \(-0.837176\pi\) |
0.859926 | + | 0.510419i | \(0.170510\pi\) | |||||||
\(110\) | 43.0144 | − | 24.8343i | 0.391040 | − | 0.225767i | ||||
\(111\) | −105.271 | + | 6.58420i | −0.948385 | + | 0.0593171i | ||||
\(112\) | −44.9156 | + | 63.6273i | −0.401032 | + | 0.568101i | ||||
\(113\) | − | 140.014i | − | 1.23907i | −0.784971 | − | 0.619533i | \(-0.787322\pi\) | ||
0.784971 | − | 0.619533i | \(-0.212678\pi\) | |||||||
\(114\) | 120.248 | − | 79.8287i | 1.05481 | − | 0.700252i | ||||
\(115\) | 48.2292 | − | 83.5354i | 0.419384 | − | 0.726395i | ||||
\(116\) | 22.6022 | + | 13.0494i | 0.194847 | + | 0.112495i | ||||
\(117\) | −3.75192 | − | 4.95053i | −0.0320677 | − | 0.0423122i | ||||
\(118\) | −42.8393 | −0.363045 | ||||||||
\(119\) | 9.19447 | − | 100.663i | 0.0772645 | − | 0.845905i | ||||
\(120\) | −57.9394 | + | 3.62384i | −0.482829 | + | 0.0301987i | ||||
\(121\) | 21.1580 | + | 36.6468i | 0.174860 | + | 0.302866i | ||||
\(122\) | −99.6188 | − | 57.5149i | −0.816547 | − | 0.471434i | ||||
\(123\) | −40.5583 | − | 20.1519i | −0.329742 | − | 0.163837i | ||||
\(124\) | −8.75337 | − | 15.1613i | −0.0705917 | − | 0.122268i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | −3.70500 | − | 109.440i | −0.0294048 | − | 0.868570i | ||||
\(127\) | −235.143 | −1.85152 | −0.925758 | − | 0.378117i | \(-0.876572\pi\) | ||||
−0.925758 | + | 0.378117i | \(0.876572\pi\) | |||||||
\(128\) | −54.0408 | + | 31.2004i | −0.422193 | + | 0.243754i | ||||
\(129\) | 30.9268 | − | 62.2442i | 0.239743 | − | 0.482513i | ||||
\(130\) | 1.34123 | − | 2.32308i | 0.0103171 | − | 0.0178698i | ||||
\(131\) | −67.6099 | + | 39.0346i | −0.516106 | + | 0.297974i | −0.735340 | − | 0.677698i | \(-0.762978\pi\) |
0.219234 | + | 0.975672i | \(0.429644\pi\) | |||||||
\(132\) | −2.34270 | − | 37.4560i | −0.0177477 | − | 0.283758i | ||||
\(133\) | 111.741 | − | 158.292i | 0.840156 | − | 1.19016i | ||||
\(134\) | 47.3338i | 0.353238i | ||||||||
\(135\) | 45.7462 | − | 39.3990i | 0.338861 | − | 0.291845i | ||||
\(136\) | 62.4828 | − | 108.223i | 0.459432 | − | 0.795760i | ||||
\(137\) | −123.931 | − | 71.5516i | −0.904606 | − | 0.522274i | −0.0259142 | − | 0.999664i | \(-0.508250\pi\) |
−0.878692 | + | 0.477390i | \(0.841583\pi\) | |||||||
\(138\) | 124.409 | + | 187.400i | 0.901514 | + | 1.35797i | ||||
\(139\) | 119.427 | 0.859185 | 0.429593 | − | 0.903023i | \(-0.358657\pi\) | ||||
0.429593 | + | 0.903023i | \(0.358657\pi\) | |||||||
\(140\) | −13.9111 | + | 6.42228i | −0.0993652 | + | 0.0458734i | ||||
\(141\) | 8.24976 | + | 131.900i | 0.0585089 | + | 0.935464i | ||||
\(142\) | −66.5057 | − | 115.191i | −0.468350 | − | 0.811206i | ||||
\(143\) | 7.63853 | + | 4.41011i | 0.0534163 | + | 0.0308399i | ||||
\(144\) | 38.8722 | − | 92.2831i | 0.269945 | − | 0.640855i | ||||
\(145\) | −29.8086 | − | 51.6300i | −0.205576 | − | 0.356069i | ||||
\(146\) | − | 85.9054i | − | 0.588393i | ||||||
\(147\) | −57.7707 | − | 135.172i | −0.392998 | − | 0.919539i | ||||
\(148\) | −34.4166 | −0.232545 | ||||||||
\(149\) | −124.082 | + | 71.6388i | −0.832765 | + | 0.480797i | −0.854799 | − | 0.518960i | \(-0.826319\pi\) |
0.0220332 | + | 0.999757i | \(0.492986\pi\) | |||||||
\(150\) | 23.3487 | + | 11.6011i | 0.155658 | + | 0.0773408i | ||||
\(151\) | 1.71655 | − | 2.97316i | 0.0113679 | − | 0.0196898i | −0.860285 | − | 0.509813i | \(-0.829715\pi\) |
0.871653 | + | 0.490123i | \(0.163048\pi\) | |||||||
\(152\) | 207.448 | − | 119.770i | 1.36479 | − | 0.787961i | ||||
\(153\) | 16.1937 | + | 128.949i | 0.105841 | + | 0.842806i | ||||
\(154\) | 65.1731 | + | 141.170i | 0.423202 | + | 0.916686i | ||||
\(155\) | 39.9905i | 0.258003i | ||||||||
\(156\) | −1.12102 | − | 1.68861i | −0.00718600 | − | 0.0108244i | ||||
\(157\) | −121.784 | + | 210.937i | −0.775697 | + | 1.34355i | 0.158705 | + | 0.987326i | \(0.449268\pi\) |
−0.934402 | + | 0.356221i | \(0.884065\pi\) | |||||||
\(158\) | 55.7687 | + | 32.1981i | 0.352966 | + | 0.203785i | ||||
\(159\) | −226.803 | + | 150.567i | −1.42643 | + | 0.946965i | ||||
\(160\) | −34.1605 | −0.213503 | ||||||||
\(161\) | 246.690 | + | 174.142i | 1.53223 | + | 1.08163i | ||||
\(162\) | 34.8121 | + | 136.417i | 0.214889 | + | 0.842081i | ||||
\(163\) | −4.62591 | − | 8.01232i | −0.0283798 | − | 0.0491553i | 0.851487 | − | 0.524376i | \(-0.175701\pi\) |
−0.879866 | + | 0.475221i | \(0.842368\pi\) | |||||||
\(164\) | −12.7978 | − | 7.38879i | −0.0780351 | − | 0.0450536i | ||||
\(165\) | −38.1458 | + | 76.7732i | −0.231186 | + | 0.465292i | ||||
\(166\) | −17.4199 | − | 30.1721i | −0.104939 | − | 0.181760i | ||||
\(167\) | − | 196.020i | − | 1.17378i | −0.809668 | − | 0.586888i | \(-0.800353\pi\) | ||
0.809668 | − | 0.586888i | \(-0.199647\pi\) | |||||||
\(168\) | 5.20099 | − | 181.659i | 0.0309583 | − | 1.08130i | ||||
\(169\) | −168.524 | −0.997181 | ||||||||
\(170\) | −48.6042 | + | 28.0616i | −0.285907 | + | 0.165068i | ||||
\(171\) | −96.7060 | + | 229.582i | −0.565532 | + | 1.34258i | ||||
\(172\) | 11.3395 | − | 19.6405i | 0.0659271 | − | 0.114189i | ||||
\(173\) | −89.9489 | + | 51.9320i | −0.519936 | + | 0.300185i | −0.736909 | − | 0.675992i | \(-0.763715\pi\) |
0.216972 | + | 0.976178i | \(0.430382\pi\) | |||||||
\(174\) | 138.753 | − | 8.67837i | 0.797432 | − | 0.0498757i | ||||
\(175\) | 34.8549 | + | 3.18363i | 0.199171 | + | 0.0181922i | ||||
\(176\) | 142.188i | 0.807885i | ||||||||
\(177\) | 61.6013 | − | 40.8952i | 0.348030 | − | 0.231046i | ||||
\(178\) | −63.0091 | + | 109.135i | −0.353984 | + | 0.613118i | ||||
\(179\) | 243.418 | + | 140.537i | 1.35988 | + | 0.785124i | 0.989607 | − | 0.143800i | \(-0.0459323\pi\) |
0.370269 | + | 0.928925i | \(0.379266\pi\) | |||||||
\(180\) | 15.7002 | − | 11.8989i | 0.0872234 | − | 0.0661051i | ||||
\(181\) | 53.4762 | 0.295448 | 0.147724 | − | 0.989029i | \(-0.452805\pi\) | ||||
0.147724 | + | 0.989029i | \(0.452805\pi\) | |||||||
\(182\) | 6.86032 | + | 4.84281i | 0.0376940 | + | 0.0266088i | ||||
\(183\) | 198.153 | − | 12.3936i | 1.08280 | − | 0.0677243i | ||||
\(184\) | 186.655 | + | 323.297i | 1.01443 | + | 1.75705i | ||||
\(185\) | 68.0847 | + | 39.3087i | 0.368026 | + | 0.212480i | ||||
\(186\) | −83.5151 | − | 41.4956i | −0.449006 | − | 0.223094i | ||||
\(187\) | −92.2697 | − | 159.816i | −0.493421 | − | 0.854630i | ||||
\(188\) | 43.1227i | 0.229376i | ||||||||
\(189\) | 109.801 | + | 153.834i | 0.580957 | + | 0.813934i | ||||
\(190\) | −107.580 | −0.566209 | ||||||||
\(191\) | 91.5701 | − | 52.8680i | 0.479424 | − | 0.276796i | −0.240752 | − | 0.970587i | \(-0.577394\pi\) |
0.720177 | + | 0.693791i | \(0.244061\pi\) | |||||||
\(192\) | 94.8555 | − | 190.909i | 0.494039 | − | 0.994316i | ||||
\(193\) | 45.0633 | − | 78.0519i | 0.233489 | − | 0.404414i | −0.725344 | − | 0.688387i | \(-0.758319\pi\) |
0.958832 | + | 0.283973i | \(0.0916525\pi\) | |||||||
\(194\) | 35.0169 | − | 20.2170i | 0.180499 | − | 0.104211i | ||||
\(195\) | 0.289014 | + | 4.62086i | 0.00148212 | + | 0.0236967i | ||||
\(196\) | −16.0603 | − | 45.1969i | −0.0819405 | − | 0.230597i | ||||
\(197\) | 195.601i | 0.992897i | 0.868066 | + | 0.496448i | \(0.165363\pi\) | ||||
−0.868066 | + | 0.496448i | \(0.834637\pi\) | |||||||
\(198\) | −120.750 | − | 159.325i | −0.609848 | − | 0.804673i | ||||
\(199\) | 116.030 | − | 200.970i | 0.583067 | − | 1.00990i | −0.412046 | − | 0.911163i | \(-0.635186\pi\) |
0.995113 | − | 0.0987388i | \(-0.0314808\pi\) | |||||||
\(200\) | 37.4728 | + | 21.6349i | 0.187364 | + | 0.108175i | ||||
\(201\) | −45.1858 | − | 68.0644i | −0.224805 | − | 0.338629i | ||||
\(202\) | −250.479 | −1.23999 | ||||||||
\(203\) | 169.445 | − | 78.2270i | 0.834707 | − | 0.385355i | ||||
\(204\) | 2.64714 | + | 42.3235i | 0.0129762 | + | 0.207468i | ||||
\(205\) | 16.8781 | + | 29.2338i | 0.0823324 | + | 0.142604i | ||||
\(206\) | 227.990 | + | 131.630i | 1.10675 | + | 0.638981i | ||||
\(207\) | −357.791 | − | 150.711i | −1.72846 | − | 0.728074i | ||||
\(208\) | 3.83957 | + | 6.65033i | 0.0184595 | + | 0.0319727i | ||||
\(209\) | − | 353.734i | − | 1.69251i | ||||||
\(210\) | −42.8153 | + | 69.4867i | −0.203882 | + | 0.330889i | ||||
\(211\) | 210.912 | 0.999585 | 0.499793 | − | 0.866145i | \(-0.333410\pi\) | ||||
0.499793 | + | 0.866145i | \(0.333410\pi\) | |||||||
\(212\) | −76.9276 | + | 44.4142i | −0.362866 | + | 0.209501i | ||||
\(213\) | 205.597 | + | 102.153i | 0.965242 | + | 0.479593i | ||||
\(214\) | −36.0230 | + | 62.3936i | −0.168332 | + | 0.291559i | ||||
\(215\) | −44.8647 | + | 25.9026i | −0.208673 | + | 0.120477i | ||||
\(216\) | 43.5297 | + | 229.567i | 0.201526 | + | 1.06281i | ||||
\(217\) | −124.671 | − | 11.3874i | −0.574521 | − | 0.0524764i | ||||
\(218\) | 4.57475i | 0.0209851i | ||||||||
\(219\) | 82.0069 | + | 123.529i | 0.374461 | + | 0.564058i | ||||
\(220\) | −13.9863 | + | 24.2250i | −0.0635741 | + | 0.110114i | ||||
\(221\) | −8.63117 | − | 4.98321i | −0.0390551 | − | 0.0225485i | ||||
\(222\) | −152.739 | + | 101.398i | −0.688012 | + | 0.456749i | ||||
\(223\) | −99.6553 | −0.446885 | −0.223442 | − | 0.974717i | \(-0.571729\pi\) | ||||
−0.223442 | + | 0.974717i | \(0.571729\pi\) | |||||||
\(224\) | 9.72729 | − | 106.496i | 0.0434254 | − | 0.475429i | ||||
\(225\) | −44.6493 | + | 5.60715i | −0.198441 | + | 0.0249207i | ||||
\(226\) | −121.682 | − | 210.759i | −0.538415 | − | 0.932563i | ||||
\(227\) | 266.629 | + | 153.939i | 1.17458 | + | 0.678143i | 0.954754 | − | 0.297396i | \(-0.0961182\pi\) |
0.219824 | + | 0.975539i | \(0.429452\pi\) | |||||||
\(228\) | −36.1695 | + | 72.7958i | −0.158638 | + | 0.319280i | ||||
\(229\) | −27.9040 | − | 48.3312i | −0.121852 | − | 0.211053i | 0.798646 | − | 0.601801i | \(-0.205550\pi\) |
−0.920498 | + | 0.390748i | \(0.872217\pi\) | |||||||
\(230\) | − | 167.658i | − | 0.728946i | ||||||
\(231\) | −228.480 | − | 140.781i | −0.989090 | − | 0.609443i | ||||
\(232\) | 230.729 | 0.994522 | ||||||||
\(233\) | −176.629 | + | 101.977i | −0.758062 | + | 0.437668i | −0.828600 | − | 0.559842i | \(-0.810862\pi\) |
0.0705372 | + | 0.997509i | \(0.477529\pi\) | |||||||
\(234\) | −9.94999 | − | 4.19121i | −0.0425213 | − | 0.0179111i | ||||
\(235\) | 49.2524 | − | 85.3077i | 0.209585 | − | 0.363012i | ||||
\(236\) | 20.8941 | − | 12.0632i | 0.0885342 | − | 0.0511152i | ||||
\(237\) | −110.930 | + | 6.93817i | −0.468060 | + | 0.0292750i | ||||
\(238\) | −73.6425 | − | 159.515i | −0.309422 | − | 0.670231i | ||||
\(239\) | − | 83.9724i | − | 0.351349i | −0.984448 | − | 0.175674i | \(-0.943789\pi\) | ||
0.984448 | − | 0.175674i | \(-0.0562106\pi\) | |||||||
\(240\) | −62.1819 | + | 41.2806i | −0.259091 | + | 0.172002i | ||||
\(241\) | −68.2986 | + | 118.297i | −0.283397 | + | 0.490858i | −0.972219 | − | 0.234072i | \(-0.924795\pi\) |
0.688822 | + | 0.724930i | \(0.258128\pi\) | |||||||
\(242\) | 63.6971 | + | 36.7755i | 0.263211 | + | 0.151965i | ||||
\(243\) | −180.285 | − | 162.931i | −0.741913 | − | 0.670496i | ||||
\(244\) | 64.7830 | 0.265504 | ||||||||
\(245\) | −19.8500 | + | 107.754i | −0.0810205 | + | 0.439813i | ||||
\(246\) | −78.5645 | + | 4.91385i | −0.319368 | + | 0.0199750i | ||||
\(247\) | −9.55206 | − | 16.5447i | −0.0386723 | − | 0.0669824i | ||||
\(248\) | −134.035 | − | 77.3851i | −0.540463 | − | 0.312037i | ||||
\(249\) | 53.8520 | + | 26.7571i | 0.216273 | + | 0.107458i | ||||
\(250\) | −9.71647 | − | 16.8294i | −0.0388659 | − | 0.0673176i | ||||
\(251\) | − | 130.419i | − | 0.519597i | −0.965663 | − | 0.259799i | \(-0.916344\pi\) | ||
0.965663 | − | 0.259799i | \(-0.0836562\pi\) | |||||||
\(252\) | 32.6244 | + | 52.3339i | 0.129462 | + | 0.207674i | ||||
\(253\) | 551.276 | 2.17896 | ||||||||
\(254\) | −353.953 | + | 204.355i | −1.39351 | + | 0.804546i | ||||
\(255\) | 43.1029 | − | 86.7500i | 0.169031 | − | 0.340196i | ||||
\(256\) | 87.8863 | − | 152.224i | 0.343306 | − | 0.594623i | ||||
\(257\) | 139.531 | − | 80.5581i | 0.542921 | − | 0.313456i | −0.203341 | − | 0.979108i | \(-0.565180\pi\) |
0.746262 | + | 0.665652i | \(0.231847\pi\) | |||||||
\(258\) | −7.54120 | − | 120.572i | −0.0292295 | − | 0.467332i | ||||
\(259\) | −141.933 | + | 201.062i | −0.548004 | + | 0.776302i | ||||
\(260\) | 1.51072i | 0.00581045i | ||||||||
\(261\) | −191.238 | + | 144.936i | −0.732711 | + | 0.555309i | ||||
\(262\) | −67.8474 | + | 117.515i | −0.258959 | + | 0.448531i | ||||
\(263\) | −237.621 | − | 137.191i | −0.903503 | − | 0.521638i | −0.0251677 | − | 0.999683i | \(-0.508012\pi\) |
−0.878335 | + | 0.478046i | \(0.841345\pi\) | |||||||
\(264\) | −183.503 | − | 276.415i | −0.695088 | − | 1.04703i | ||||
\(265\) | 202.910 | 0.765697 | ||||||||
\(266\) | 30.6336 | − | 335.382i | 0.115164 | − | 1.26083i | ||||
\(267\) | −13.5775 | − | 217.082i | −0.0508519 | − | 0.813040i | ||||
\(268\) | −13.3288 | − | 23.0862i | −0.0497344 | − | 0.0861426i | ||||
\(269\) | 153.258 | + | 88.4834i | 0.569732 | + | 0.328935i | 0.757042 | − | 0.653366i | \(-0.226644\pi\) |
−0.187311 | + | 0.982301i | \(0.559977\pi\) | |||||||
\(270\) | 34.6199 | − | 99.0627i | 0.128222 | − | 0.366899i | ||||
\(271\) | 142.395 | + | 246.636i | 0.525444 | + | 0.910096i | 0.999561 | + | 0.0296340i | \(0.00943416\pi\) |
−0.474117 | + | 0.880462i | \(0.657233\pi\) | |||||||
\(272\) | − | 160.665i | − | 0.590681i | ||||||
\(273\) | −14.4879 | − | 0.414797i | −0.0530693 | − | 0.00151940i | ||||
\(274\) | −248.733 | −0.907783 | ||||||||
\(275\) | 55.3369 | − | 31.9488i | 0.201225 | − | 0.116177i | ||||
\(276\) | −113.448 | − | 56.3683i | −0.411045 | − | 0.204233i | ||||
\(277\) | −35.1794 | + | 60.9325i | −0.127001 | + | 0.219973i | −0.922514 | − | 0.385965i | \(-0.873869\pi\) |
0.795512 | + | 0.605938i | \(0.207202\pi\) | |||||||
\(278\) | 179.769 | − | 103.790i | 0.646652 | − | 0.373345i | ||||
\(279\) | 159.704 | − | 20.0560i | 0.572416 | − | 0.0718852i | ||||
\(280\) | −78.1178 | + | 110.662i | −0.278992 | + | 0.395220i | ||||
\(281\) | − | 410.358i | − | 1.46035i | −0.683261 | − | 0.730174i | \(-0.739439\pi\) | ||
0.683261 | − | 0.730174i | \(-0.260561\pi\) | |||||||
\(282\) | 127.048 | + | 191.376i | 0.450526 | + | 0.678638i | ||||
\(283\) | −209.909 | + | 363.573i | −0.741727 | + | 1.28471i | 0.209981 | + | 0.977705i | \(0.432660\pi\) |
−0.951708 | + | 0.307004i | \(0.900674\pi\) | |||||||
\(284\) | 64.8739 | + | 37.4550i | 0.228429 | + | 0.131884i | ||||
\(285\) | 154.696 | − | 102.698i | 0.542793 | − | 0.360343i | ||||
\(286\) | 15.3307 | 0.0536039 | ||||||||
\(287\) | −95.9430 | + | 44.2935i | −0.334296 | + | 0.154333i | ||||
\(288\) | 17.1321 | + | 136.422i | 0.0594866 | + | 0.473687i | ||||
\(289\) | −40.2397 | − | 69.6972i | −0.139238 | − | 0.241167i | ||||
\(290\) | −89.7398 | − | 51.8113i | −0.309448 | − | 0.178660i | ||||
\(291\) | −31.0535 | + | 62.4991i | −0.106713 | + | 0.214773i | ||||
\(292\) | 24.1903 | + | 41.8988i | 0.0828434 | + | 0.143489i | ||||
\(293\) | − | 22.0605i | − | 0.0752917i | −0.999291 | − | 0.0376458i | \(-0.988014\pi\) | ||
0.999291 | − | 0.0376458i | \(-0.0119859\pi\) | |||||||
\(294\) | −204.434 | − | 153.264i | −0.695354 | − | 0.521306i | ||||
\(295\) | −55.1117 | −0.186819 | ||||||||
\(296\) | −263.500 | + | 152.132i | −0.890203 | + | 0.513959i | ||||
\(297\) | 325.729 | + | 113.834i | 1.09673 | + | 0.383279i | ||||
\(298\) | −124.518 | + | 215.671i | −0.417845 | + | 0.723729i | ||||
\(299\) | 25.7840 | − | 14.8864i | 0.0862341 | − | 0.0497873i | ||||
\(300\) | −14.6547 | + | 0.916584i | −0.0488490 | + | 0.00305528i | ||||
\(301\) | −67.9766 | − | 147.242i | −0.225836 | − | 0.489177i | ||||
\(302\) | − | 5.96720i | − | 0.0197589i | ||||||
\(303\) | 360.179 | − | 239.112i | 1.18871 | − | 0.789147i | ||||
\(304\) | 153.986 | − | 266.711i | 0.506531 | − | 0.877338i | ||||
\(305\) | −128.157 | − | 73.9916i | −0.420187 | − | 0.242595i | ||||
\(306\) | 136.442 | + | 180.030i | 0.445887 | + | 0.588333i | ||||
\(307\) | 477.487 | 1.55533 | 0.777666 | − | 0.628678i | \(-0.216404\pi\) | ||||
0.777666 | + | 0.628678i | \(0.216404\pi\) | |||||||
\(308\) | −71.5392 | − | 50.5007i | −0.232270 | − | 0.163963i | ||||
\(309\) | −453.498 | + | 28.3642i | −1.46763 | + | 0.0917934i | ||||
\(310\) | 34.7544 | + | 60.1964i | 0.112111 | + | 0.194182i | ||||
\(311\) | 158.616 | + | 91.5767i | 0.510018 | + | 0.294459i | 0.732841 | − | 0.680400i | \(-0.238194\pi\) |
−0.222823 | + | 0.974859i | \(0.571527\pi\) | |||||||
\(312\) | −16.0469 | − | 7.97310i | −0.0514323 | − | 0.0255548i | ||||
\(313\) | 50.2014 | + | 86.9514i | 0.160388 | + | 0.277800i | 0.935008 | − | 0.354627i | \(-0.115392\pi\) |
−0.774620 | + | 0.632427i | \(0.782059\pi\) | |||||||
\(314\) | 423.356i | 1.34827i | ||||||||
\(315\) | −4.76639 | − | 140.792i | −0.0151314 | − | 0.446958i | ||||
\(316\) | −36.2669 | −0.114769 | ||||||||
\(317\) | −264.854 | + | 152.913i | −0.835501 | + | 0.482377i | −0.855733 | − | 0.517418i | \(-0.826893\pi\) |
0.0202312 | + | 0.999795i | \(0.493560\pi\) | |||||||
\(318\) | −210.546 | + | 423.751i | −0.662096 | + | 1.33255i | ||||
\(319\) | 170.361 | − | 295.074i | 0.534048 | − | 0.924998i | ||||
\(320\) | −137.604 | + | 79.4458i | −0.430013 | + | 0.248268i | ||||
\(321\) | −7.76237 | − | 124.108i | −0.0241819 | − | 0.386629i | ||||
\(322\) | 522.675 | + | 47.7409i | 1.62322 | + | 0.148264i | ||||
\(323\) | 399.703i | 1.23747i | ||||||||
\(324\) | −55.3929 | − | 56.7321i | −0.170966 | − | 0.175099i | ||||
\(325\) | 1.72546 | − | 2.98858i | 0.00530911 | − | 0.00919564i | ||||
\(326\) | −13.9265 | − | 8.04046i | −0.0427193 | − | 0.0246640i | ||||
\(327\) | −4.36714 | − | 6.57832i | −0.0133552 | − | 0.0201172i | ||||
\(328\) | −130.643 | −0.398301 | ||||||||
\(329\) | 251.924 | + | 177.837i | 0.765725 | + | 0.540538i | ||||
\(330\) | 9.30146 | + | 148.716i | 0.0281863 | + | 0.450653i | ||||
\(331\) | −91.0722 | − | 157.742i | −0.275143 | − | 0.476561i | 0.695028 | − | 0.718982i | \(-0.255392\pi\) |
−0.970171 | + | 0.242421i | \(0.922058\pi\) | |||||||
\(332\) | 16.9925 | + | 9.81060i | 0.0511821 | + | 0.0295500i | ||||
\(333\) | 122.836 | − | 291.614i | 0.368876 | − | 0.875718i | ||||
\(334\) | −170.355 | − | 295.063i | −0.510045 | − | 0.883423i | ||||
\(335\) | 60.8939i | 0.181773i | ||||||||
\(336\) | −110.987 | − | 205.608i | −0.330317 | − | 0.611928i | ||||
\(337\) | 127.130 | 0.377241 | 0.188621 | − | 0.982050i | \(-0.439598\pi\) | ||||
0.188621 | + | 0.982050i | \(0.439598\pi\) | |||||||
\(338\) | −253.673 | + | 146.458i | −0.750513 | + | 0.433309i | ||||
\(339\) | 376.169 | + | 186.904i | 1.10964 | + | 0.551340i | ||||
\(340\) | 15.8039 | − | 27.3731i | 0.0464819 | − | 0.0805091i | ||||
\(341\) | −197.932 | + | 114.276i | −0.580447 | + | 0.335121i | ||||
\(342\) | 53.9533 | + | 429.626i | 0.157758 | + | 1.25622i | ||||
\(343\) | −330.273 | − | 92.5661i | −0.962896 | − | 0.269872i | ||||
\(344\) | − | 200.495i | − | 0.582836i | ||||||
\(345\) | 160.049 | + | 241.086i | 0.463910 | + | 0.698799i | ||||
\(346\) | −90.2649 | + | 156.343i | −0.260881 | + | 0.451859i | ||||
\(347\) | 304.200 | + | 175.630i | 0.876658 | + | 0.506139i | 0.869555 | − | 0.493836i | \(-0.164406\pi\) |
0.00710329 | + | 0.999975i | \(0.497739\pi\) | |||||||
\(348\) | −65.2306 | + | 43.3045i | −0.187444 | + | 0.124438i | ||||
\(349\) | −542.999 | −1.55587 | −0.777936 | − | 0.628344i | \(-0.783733\pi\) | ||||
−0.777936 | + | 0.628344i | \(0.783733\pi\) | |||||||
\(350\) | 55.2328 | − | 25.4990i | 0.157808 | − | 0.0728544i | ||||
\(351\) | 18.3087 | − | 3.47164i | 0.0521616 | − | 0.00989071i | ||||
\(352\) | −97.6167 | − | 169.077i | −0.277320 | − | 0.480333i | ||||
\(353\) | −45.4717 | − | 26.2531i | −0.128815 | − | 0.0743714i | 0.434208 | − | 0.900813i | \(-0.357028\pi\) |
−0.563023 | + | 0.826441i | \(0.690362\pi\) | |||||||
\(354\) | 57.1859 | − | 115.094i | 0.161542 | − | 0.325124i | ||||
\(355\) | −85.5580 | − | 148.191i | −0.241009 | − | 0.417439i | ||||
\(356\) | − | 70.9714i | − | 0.199358i | ||||||
\(357\) | 258.171 | + | 159.076i | 0.723168 | + | 0.445592i | ||||
\(358\) | 488.545 | 1.36465 | ||||||||
\(359\) | 366.445 | − | 211.567i | 1.02074 | − | 0.589323i | 0.106420 | − | 0.994321i | \(-0.466061\pi\) |
0.914318 | + | 0.404998i | \(0.132728\pi\) | |||||||
\(360\) | 67.6070 | − | 160.500i | 0.187797 | − | 0.445834i | ||||
\(361\) | −202.585 | + | 350.887i | −0.561177 | + | 0.971986i | ||||
\(362\) | 80.4960 | − | 46.4744i | 0.222365 | − | 0.128382i | ||||
\(363\) | −126.701 | + | 7.92454i | −0.349038 | + | 0.0218307i | ||||
\(364\) | −4.70969 | − | 0.430180i | −0.0129387 | − | 0.00118181i | ||||
\(365\) | − | 110.515i | − | 0.302781i | ||||||
\(366\) | 287.503 | − | 190.864i | 0.785526 | − | 0.521486i | ||||
\(367\) | −25.6698 | + | 44.4614i | −0.0699449 | + | 0.121148i | −0.898877 | − | 0.438201i | \(-0.855616\pi\) |
0.828932 | + | 0.559350i | \(0.188949\pi\) | |||||||
\(368\) | 415.655 | + | 239.979i | 1.12950 | + | 0.652116i | ||||
\(369\) | 108.282 | − | 82.0651i | 0.293447 | − | 0.222399i | ||||
\(370\) | 136.648 | 0.369318 | ||||||||
\(371\) | −57.7790 | + | 632.574i | −0.155739 | + | 1.70505i | ||||
\(372\) | 52.4178 | − | 3.27849i | 0.140908 | − | 0.00881314i | ||||
\(373\) | −236.881 | − | 410.290i | −0.635070 | − | 1.09997i | −0.986500 | − | 0.163760i | \(-0.947638\pi\) |
0.351430 | − | 0.936214i | \(-0.385696\pi\) | |||||||
\(374\) | −277.781 | − | 160.377i | −0.742731 | − | 0.428816i | ||||
\(375\) | 30.0376 | + | 14.9246i | 0.0801003 | + | 0.0397988i | ||||
\(376\) | 190.616 | + | 330.156i | 0.506956 | + | 0.878074i | ||||
\(377\) | − | 18.4014i | − | 0.0488101i | ||||||
\(378\) | 298.972 | + | 136.136i | 0.790930 | + | 0.360149i | ||||
\(379\) | −359.932 | −0.949689 | −0.474845 | − | 0.880070i | \(-0.657496\pi\) | ||||
−0.474845 | + | 0.880070i | \(0.657496\pi\) | |||||||
\(380\) | 52.4701 | − | 30.2936i | 0.138079 | − | 0.0797200i | ||||
\(381\) | 313.890 | − | 631.744i | 0.823859 | − | 1.65812i | ||||
\(382\) | 91.8917 | − | 159.161i | 0.240554 | − | 0.416652i | ||||
\(383\) | −322.534 | + | 186.215i | −0.842125 | + | 0.486201i | −0.857986 | − | 0.513673i | \(-0.828284\pi\) |
0.0158611 | + | 0.999874i | \(0.494951\pi\) | |||||||
\(384\) | −11.6858 | − | 186.838i | −0.0304318 | − | 0.486556i | ||||
\(385\) | 83.8436 | + | 181.611i | 0.217776 | + | 0.471718i | ||||
\(386\) | − | 156.652i | − | 0.405835i | ||||||
\(387\) | 125.944 | + | 166.179i | 0.325437 | + | 0.429403i | ||||
\(388\) | −11.3859 | + | 19.7209i | −0.0293451 | + | 0.0508272i | ||||
\(389\) | −550.051 | − | 317.572i | −1.41401 | − | 0.816381i | −0.418250 | − | 0.908332i | \(-0.637356\pi\) |
−0.995764 | + | 0.0919506i | \(0.970690\pi\) | |||||||
\(390\) | 4.45088 | + | 6.70447i | 0.0114125 | + | 0.0171909i | ||||
\(391\) | −622.916 | −1.59313 | ||||||||
\(392\) | −322.745 | − | 275.045i | −0.823330 | − | 0.701645i | ||||
\(393\) | −14.6200 | − | 233.751i | −0.0372011 | − | 0.594786i | ||||
\(394\) | 169.990 | + | 294.432i | 0.431447 | + | 0.747288i | ||||
\(395\) | 71.7451 | + | 41.4220i | 0.181633 | + | 0.104866i | ||||
\(396\) | 103.758 | + | 43.7058i | 0.262016 | + | 0.110368i | ||||
\(397\) | 380.530 | + | 659.097i | 0.958514 | + | 1.66019i | 0.726114 | + | 0.687575i | \(0.241325\pi\) |
0.232400 | + | 0.972620i | \(0.425342\pi\) | |||||||
\(398\) | − | 403.353i | − | 1.01345i | ||||||
\(399\) | 276.112 | + | 511.511i | 0.692010 | + | 1.28198i | ||||
\(400\) | 55.6311 | 0.139078 | ||||||||
\(401\) | −16.9155 | + | 9.76619i | −0.0421834 | + | 0.0243546i | −0.520943 | − | 0.853591i | \(-0.674420\pi\) |
0.478760 | + | 0.877946i | \(0.341086\pi\) | |||||||
\(402\) | −127.169 | − | 63.1857i | −0.316341 | − | 0.157178i | ||||
\(403\) | −6.17172 | + | 10.6897i | −0.0153144 | + | 0.0265254i | ||||
\(404\) | 122.166 | − | 70.5328i | 0.302392 | − | 0.174586i | ||||
\(405\) | 44.7849 | + | 175.497i | 0.110580 | + | 0.433327i | ||||
\(406\) | 187.076 | − | 265.012i | 0.460779 | − | 0.652739i | ||||
\(407\) | 449.313i | 1.10396i | ||||||||
\(408\) | 207.350 | + | 312.336i | 0.508210 | + | 0.765529i | ||||
\(409\) | 308.387 | − | 534.141i | 0.754002 | − | 1.30597i | −0.191868 | − | 0.981421i | \(-0.561454\pi\) |
0.945869 | − | 0.324548i | \(-0.105212\pi\) | |||||||
\(410\) | 50.8123 | + | 29.3365i | 0.123932 | + | 0.0715524i | ||||
\(411\) | 357.668 | − | 237.445i | 0.870240 | − | 0.577724i | ||||
\(412\) | −148.264 | −0.359864 | ||||||||
\(413\) | 15.6932 | − | 171.812i | 0.0379980 | − | 0.416009i | ||||
\(414\) | −669.550 | + | 84.0834i | −1.61727 | + | 0.203100i | ||||
\(415\) | −22.4103 | − | 38.8157i | −0.0540006 | − | 0.0935318i | ||||
\(416\) | −9.13135 | − | 5.27199i | −0.0219504 | − | 0.0126730i | ||||
\(417\) | −159.422 | + | 320.857i | −0.382307 | + | 0.769442i | ||||
\(418\) | −307.419 | − | 532.465i | −0.735451 | − | 1.27384i | ||||
\(419\) | 476.423i | 1.13705i | 0.822667 | + | 0.568523i | \(0.192485\pi\) | ||||
−0.822667 | + | 0.568523i | \(0.807515\pi\) | |||||||
\(420\) | 1.31549 | − | 45.9473i | 0.00313213 | − | 0.109398i | ||||
\(421\) | −168.350 | −0.399881 | −0.199941 | − | 0.979808i | \(-0.564075\pi\) | ||||
−0.199941 | + | 0.979808i | \(0.564075\pi\) | |||||||
\(422\) | 317.480 | − | 183.297i | 0.752322 | − | 0.434353i | ||||
\(423\) | −365.382 | − | 153.909i | −0.863787 | − | 0.363851i | ||||
\(424\) | −392.648 | + | 680.087i | −0.926057 | + | 1.60398i | ||||
\(425\) | −62.5281 | + | 36.1006i | −0.147125 | + | 0.0849426i | ||||
\(426\) | 398.256 | − | 24.9091i | 0.934874 | − | 0.0584720i | ||||
\(427\) | 267.163 | − | 378.463i | 0.625675 | − | 0.886330i | ||||
\(428\) | − | 40.5751i | − | 0.0948016i | ||||||
\(429\) | −22.0450 | + | 14.6350i | −0.0513870 | + | 0.0341142i | ||||
\(430\) | −45.0222 | + | 77.9808i | −0.104703 | + | 0.181351i | ||||
\(431\) | −93.3104 | − | 53.8728i | −0.216498 | − | 0.124995i | 0.387830 | − | 0.921731i | \(-0.373225\pi\) |
−0.604327 | + | 0.796736i | \(0.706558\pi\) | |||||||
\(432\) | 196.042 | + | 227.624i | 0.453800 | + | 0.526907i | ||||
\(433\) | −49.6338 | −0.114628 | −0.0573139 | − | 0.998356i | \(-0.518254\pi\) | ||||
−0.0573139 | + | 0.998356i | \(0.518254\pi\) | |||||||
\(434\) | −197.560 | + | 91.2064i | −0.455207 | + | 0.210153i | ||||
\(435\) | 178.503 | − | 11.1645i | 0.410351 | − | 0.0256656i | ||||
\(436\) | −1.28821 | − | 2.23125i | −0.00295462 | − | 0.00511754i | ||||
\(437\) | −1034.07 | − | 597.018i | −2.36628 | − | 1.36617i | ||||
\(438\) | 230.797 | + | 114.675i | 0.526934 | + | 0.261814i | ||||
\(439\) | 67.1866 | + | 116.371i | 0.153045 | + | 0.265081i | 0.932345 | − | 0.361569i | \(-0.117759\pi\) |
−0.779301 | + | 0.626650i | \(0.784426\pi\) | |||||||
\(440\) | 247.295i | 0.562034i | ||||||||
\(441\) | 440.278 | + | 25.2314i | 0.998362 | + | 0.0572141i | ||||
\(442\) | −17.3230 | −0.0391923 | ||||||||
\(443\) | 381.536 | − | 220.280i | 0.861256 | − | 0.497246i | −0.00317679 | − | 0.999995i | \(-0.501011\pi\) |
0.864433 | + | 0.502749i | \(0.167678\pi\) | |||||||
\(444\) | 45.9425 | − | 92.4651i | 0.103474 | − | 0.208255i | ||||
\(445\) | −81.0597 | + | 140.400i | −0.182157 | + | 0.315504i | ||||
\(446\) | −150.008 | + | 86.6071i | −0.336341 | + | 0.194186i | ||||
\(447\) | −26.8316 | − | 428.995i | −0.0600260 | − | 0.959719i | ||||
\(448\) | −208.490 | − | 451.605i | −0.465380 | − | 1.00805i | ||||
\(449\) | 206.559i | 0.460042i | 0.973186 | + | 0.230021i | \(0.0738795\pi\) | ||||
−0.973186 | + | 0.230021i | \(0.926121\pi\) | |||||||
\(450\) | −62.3362 | + | 47.2435i | −0.138525 | + | 0.104986i | ||||
\(451\) | −96.4615 | + | 167.076i | −0.213884 | + | 0.370457i | ||||
\(452\) | 118.696 | + | 68.5293i | 0.262602 | + | 0.151613i | ||||
\(453\) | 5.69640 | + | 8.58062i | 0.0125748 | + | 0.0189418i | ||||
\(454\) | 535.132 | 1.17870 | ||||||||
\(455\) | 8.82563 | + | 6.23016i | 0.0193970 | + | 0.0136927i | ||||
\(456\) | 44.8587 | + | 717.219i | 0.0983744 | + | 1.57285i | ||||
\(457\) | −14.6514 | − | 25.3770i | −0.0320600 | − | 0.0555295i | 0.849550 | − | 0.527508i | \(-0.176873\pi\) |
−0.881610 | + | 0.471978i | \(0.843540\pi\) | |||||||
\(458\) | −84.0061 | − | 48.5009i | −0.183419 | − | 0.105897i | ||||
\(459\) | −368.058 | − | 128.627i | −0.801869 | − | 0.280233i | ||||
\(460\) | 47.2110 | + | 81.7719i | 0.102633 | + | 0.177765i | ||||
\(461\) | − | 41.0856i | − | 0.0891228i | −0.999007 | − | 0.0445614i | \(-0.985811\pi\) | ||
0.999007 | − | 0.0445614i | \(-0.0141890\pi\) | |||||||
\(462\) | −466.272 | − | 13.3496i | −1.00925 | − | 0.0288952i | ||||
\(463\) | 228.244 | 0.492968 | 0.246484 | − | 0.969147i | \(-0.420725\pi\) | ||||
0.246484 | + | 0.969147i | \(0.420725\pi\) | |||||||
\(464\) | 256.900 | − | 148.321i | 0.553664 | − | 0.319658i | ||||
\(465\) | −107.440 | − | 53.3830i | −0.231054 | − | 0.114802i | ||||
\(466\) | −177.249 | + | 307.004i | −0.380362 | + | 0.658807i | ||||
\(467\) | −508.155 | + | 293.383i | −1.08813 | + | 0.628230i | −0.933077 | − | 0.359677i | \(-0.882887\pi\) |
−0.155049 | + | 0.987907i | \(0.549553\pi\) | |||||||
\(468\) | 6.03313 | − | 0.757653i | 0.0128913 | − | 0.00161892i | ||||
\(469\) | −189.838 | − | 17.3397i | −0.404771 | − | 0.0369716i | ||||
\(470\) | − | 171.215i | − | 0.364287i | ||||||
\(471\) | −404.143 | − | 608.770i | −0.858053 | − | 1.29251i | ||||
\(472\) | 106.646 | − | 184.716i | 0.225945 | − | 0.391348i | ||||
\(473\) | −256.409 | − | 148.038i | −0.542092 | − | 0.312977i | ||||
\(474\) | −160.950 | + | 106.850i | −0.339557 | + | 0.225421i | ||||
\(475\) | −138.399 | −0.291366 | ||||||||
\(476\) | 80.8359 | + | 57.0634i | 0.169823 | + | 0.119881i | ||||
\(477\) | −101.763 | − | 810.331i | −0.213340 | − | 1.69881i | ||||
\(478\) | −72.9776 | − | 126.401i | −0.152673 | − | 0.264437i | ||||
\(479\) | −629.208 | − | 363.273i | −1.31359 | − | 0.758399i | −0.330898 | − | 0.943666i | \(-0.607352\pi\) |
−0.982688 | + | 0.185267i | \(0.940685\pi\) | |||||||
\(480\) | 45.6007 | − | 91.7772i | 0.0950014 | − | 0.191202i | ||||
\(481\) | 12.1330 | + | 21.0150i | 0.0252246 | + | 0.0436902i | ||||
\(482\) | 237.424i | 0.492582i | ||||||||
\(483\) | −797.163 | + | 430.306i | −1.65044 | + | 0.890903i | ||||
\(484\) | −41.4228 | −0.0855842 | ||||||||
\(485\) | 45.0484 | − | 26.0087i | 0.0928832 | − | 0.0536262i | ||||
\(486\) | −412.975 | − | 88.5747i | −0.849742 | − | 0.182252i | ||||
\(487\) | 317.553 | − | 550.018i | 0.652060 | − | 1.12940i | −0.330562 | − | 0.943784i | \(-0.607238\pi\) |
0.982622 | − | 0.185617i | \(-0.0594284\pi\) | |||||||
\(488\) | 495.991 | − | 286.360i | 1.01637 | − | 0.586804i | ||||
\(489\) | 27.7014 | − | 1.73259i | 0.0566490 | − | 0.00354313i | ||||
\(490\) | 63.7660 | + | 179.450i | 0.130135 | + | 0.366225i | ||||
\(491\) | 68.0254i | 0.138545i | 0.997598 | + | 0.0692723i | \(0.0220677\pi\) | ||||
−0.997598 | + | 0.0692723i | \(0.977932\pi\) | |||||||
\(492\) | 36.9347 | − | 24.5198i | 0.0750705 | − | 0.0498369i | ||||
\(493\) | −192.500 | + | 333.420i | −0.390467 | + | 0.676308i | ||||
\(494\) | −28.7568 | − | 16.6028i | −0.0582122 | − | 0.0336088i | ||||
\(495\) | −155.342 | − | 204.968i | −0.313822 | − | 0.414077i | ||||
\(496\) | −198.984 | −0.401178 | ||||||||
\(497\) | 486.350 | − | 224.531i | 0.978572 | − | 0.451773i | ||||
\(498\) | 104.315 | − | 6.52445i | 0.209469 | − | 0.0131013i | ||||
\(499\) | 354.547 | + | 614.093i | 0.710515 | + | 1.23065i | 0.964664 | + | 0.263483i | \(0.0848712\pi\) |
−0.254149 | + | 0.967165i | \(0.581795\pi\) | |||||||
\(500\) | 9.47806 | + | 5.47216i | 0.0189561 | + | 0.0109443i | ||||
\(501\) | 526.637 | + | 261.666i | 1.05117 | + | 0.522288i | ||||
\(502\) | −113.343 | − | 196.315i | −0.225782 | − | 0.391067i | ||||
\(503\) | 96.8787i | 0.192602i | 0.995352 | + | 0.0963009i | \(0.0307011\pi\) | ||||
−0.995352 | + | 0.0963009i | \(0.969299\pi\) | |||||||
\(504\) | 481.111 | + | 256.469i | 0.954585 | + | 0.508867i | ||||
\(505\) | −322.235 | −0.638089 | ||||||||
\(506\) | 829.819 | − | 479.096i | 1.63996 | − | 0.946830i | ||||
\(507\) | 224.961 | − | 452.763i | 0.443710 | − | 0.893024i | ||||
\(508\) | 115.089 | − | 199.340i | 0.226554 | − | 0.392402i | ||||
\(509\) | 550.592 | − | 317.884i | 1.08171 | − | 0.624527i | 0.150355 | − | 0.988632i | \(-0.451958\pi\) |
0.931358 | + | 0.364105i | \(0.118625\pi\) | |||||||
\(510\) | −10.5102 | − | 168.041i | −0.0206083 | − | 0.329493i | ||||
\(511\) | 344.533 | + | 31.4694i | 0.674233 | + | 0.0615841i | ||||
\(512\) | − | 555.120i | − | 1.08422i | ||||||
\(513\) | −487.712 | − | 566.282i | −0.950705 | − | 1.10386i | ||||
\(514\) | 140.021 | − | 242.523i | 0.272414 | − | 0.471835i | ||||
\(515\) | 293.303 | + | 169.339i | 0.569521 | + | 0.328813i | ||||
\(516\) | 37.6301 | + | 56.6831i | 0.0729266 | + | 0.109851i | ||||
\(517\) | 562.972 | 1.08892 | ||||||||
\(518\) | −38.9108 | + | 426.002i | −0.0751173 | + | 0.822397i | ||||
\(519\) | −19.4506 | − | 310.985i | −0.0374772 | − | 0.599200i | ||||
\(520\) | 6.67783 | + | 11.5663i | 0.0128420 | + | 0.0222430i | ||||
\(521\) | −3.34581 | − | 1.93170i | −0.00642190 | − | 0.00370769i | 0.496786 | − | 0.867873i | \(-0.334514\pi\) |
−0.503208 | + | 0.864166i | \(0.667847\pi\) | |||||||
\(522\) | −161.905 | + | 384.365i | −0.310163 | + | 0.736332i | ||||
\(523\) | 414.213 | + | 717.439i | 0.791995 | + | 1.37178i | 0.924730 | + | 0.380624i | \(0.124291\pi\) |
−0.132735 | + | 0.991152i | \(0.542376\pi\) | |||||||
\(524\) | − | 76.4211i | − | 0.145842i | ||||||
\(525\) | −55.0809 | + | 89.3929i | −0.104916 | + | 0.170272i | ||||
\(526\) | −476.912 | −0.906676 | ||||||||
\(527\) | 223.654 | − | 129.127i | 0.424391 | − | 0.245022i | ||||
\(528\) | −382.008 | − | 189.806i | −0.723500 | − | 0.359480i | ||||
\(529\) | 665.921 | − | 1153.41i | 1.25883 | − | 2.18036i | ||||
\(530\) | 305.434 | − | 176.342i | 0.576290 | − | 0.332721i | ||||
\(531\) | 27.6395 | + | 220.092i | 0.0520518 | + | 0.414485i | ||||
\(532\) | 79.4999 | + | 172.203i | 0.149436 | + | 0.323689i | ||||
\(533\) | 10.4192i | 0.0195482i | ||||||||
\(534\) | −209.096 | − | 314.967i | −0.391566 | − | 0.589825i | ||||
\(535\) | −46.3427 | + | 80.2679i | −0.0866218 | + | 0.150033i | ||||
\(536\) | −204.096 | − | 117.835i | −0.380776 | − | 0.219841i | ||||
\(537\) | −702.510 | + | 466.374i | −1.30821 | + | 0.868481i | ||||
\(538\) | 307.592 | 0.571733 | ||||||||
\(539\) | −590.051 | + | 209.670i | −1.09471 | + | 0.388998i | ||||
\(540\) | 11.0100 | + | 58.0647i | 0.0203890 | + | 0.107527i | ||||
\(541\) | −13.9137 | − | 24.0992i | −0.0257185 | − | 0.0445457i | 0.852880 | − | 0.522107i | \(-0.174854\pi\) |
−0.878598 | + | 0.477562i | \(0.841521\pi\) | |||||||
\(542\) | 428.687 | + | 247.502i | 0.790935 | + | 0.456646i | ||||
\(543\) | −71.3850 | + | 143.671i | −0.131464 | + | 0.264588i | ||||
\(544\) | 110.302 | + | 191.049i | 0.202761 | + | 0.351193i | ||||
\(545\) | 5.88530i | 0.0107987i | ||||||||
\(546\) | −22.1687 | + | 11.9666i | −0.0406020 | + | 0.0219168i | ||||
\(547\) | −610.439 | −1.11598 | −0.557988 | − | 0.829849i | \(-0.688426\pi\) | ||||
−0.557988 | + | 0.829849i | \(0.688426\pi\) | |||||||
\(548\) | 121.315 | − | 70.0411i | 0.221377 | − | 0.127812i | ||||
\(549\) | −231.216 | + | 548.911i | −0.421159 | + | 0.999837i | ||||
\(550\) | 55.5313 | − | 96.1830i | 0.100966 | − | 0.174878i | ||||
\(551\) | −639.116 | + | 368.994i | −1.15992 | + | 0.669680i | ||||
\(552\) | −1117.75 | + | 69.9100i | −2.02491 | + | 0.126649i | ||||
\(553\) | −149.564 | + | 211.872i | −0.270458 | + | 0.383131i | ||||
\(554\) | 122.293i | 0.220746i | ||||||||
\(555\) | −196.495 | + | 130.446i | −0.354044 | + | 0.235039i | ||||
\(556\) | −58.4528 | + | 101.243i | −0.105131 | + | 0.182092i | ||||
\(557\) | 438.946 | + | 253.425i | 0.788053 | + | 0.454983i | 0.839277 | − | 0.543704i | \(-0.182979\pi\) |
−0.0512234 | + | 0.998687i | \(0.516312\pi\) | |||||||
\(558\) | 222.968 | − | 168.983i | 0.399583 | − | 0.302837i | ||||
\(559\) | −15.9902 | −0.0286050 | ||||||||
\(560\) | −15.8411 | + | 173.431i | −0.0282876 | + | 0.309698i | ||||
\(561\) | 552.538 | − | 34.5587i | 0.984917 | − | 0.0616020i | ||||
\(562\) | −356.629 | − | 617.699i | −0.634571 | − | 1.09911i | ||||
\(563\) | 942.956 | + | 544.416i | 1.67488 | + | 0.966990i | 0.964845 | + | 0.262821i | \(0.0846529\pi\) |
0.710032 | + | 0.704169i | \(0.248680\pi\) | |||||||
\(564\) | −115.855 | − | 57.5643i | −0.205417 | − | 0.102064i | ||||
\(565\) | −156.541 | − | 271.137i | −0.277063 | − | 0.479888i | ||||
\(566\) | 729.699i | 1.28922i | ||||||||
\(567\) | −559.869 | + | 89.6445i | −0.987423 | + | 0.158103i | ||||
\(568\) | 662.249 | 1.16593 | ||||||||
\(569\) | 39.3937 | − | 22.7440i | 0.0692333 | − | 0.0399718i | −0.464984 | − | 0.885319i | \(-0.653940\pi\) |
0.534217 | + | 0.845347i | \(0.320607\pi\) | |||||||
\(570\) | 143.608 | − | 289.029i | 0.251943 | − | 0.507068i | ||||
\(571\) | −225.847 | + | 391.179i | −0.395529 | + | 0.685077i | −0.993169 | − | 0.116688i | \(-0.962772\pi\) |
0.597639 | + | 0.801765i | \(0.296105\pi\) | |||||||
\(572\) | −7.47728 | + | 4.31701i | −0.0130722 | + | 0.00754722i | ||||
\(573\) | 19.8012 | + | 316.589i | 0.0345571 | + | 0.552512i | ||||
\(574\) | −105.926 | + | 150.055i | −0.184540 | + | 0.261419i | ||||
\(575\) | − | 215.687i | − | 0.375109i | ||||||
\(576\) | 386.282 | + | 509.686i | 0.670628 | + | 0.884871i | ||||
\(577\) | −322.681 | + | 558.900i | −0.559239 | + | 0.968630i | 0.438321 | + | 0.898818i | \(0.355573\pi\) |
−0.997560 | + | 0.0698117i | \(0.977760\pi\) | |||||||
\(578\) | −121.143 | − | 69.9420i | −0.209590 | − | 0.121007i | ||||
\(579\) | 149.543 | + | 225.260i | 0.258278 | + | 0.389050i | ||||
\(580\) | 58.3586 | 0.100618 | ||||||||
\(581\) | 127.390 | − | 58.8115i | 0.219260 | − | 0.101225i | ||||
\(582\) | 7.57208 | + | 121.065i | 0.0130104 | + | 0.208016i | ||||
\(583\) | 579.832 | + | 1004.30i | 0.994566 | + | 1.72264i | ||||
\(584\) | 370.411 | + | 213.857i | 0.634265 | + | 0.366193i | ||||
\(585\) | −12.8004 | − | 5.39189i | −0.0218811 | − | 0.00921690i | ||||
\(586\) | −19.1720 | − | 33.2069i | −0.0327168 | − | 0.0566671i | ||||
\(587\) | 1139.56i | 1.94133i | 0.240439 | + | 0.970664i | \(0.422709\pi\) | ||||
−0.240439 | + | 0.970664i | \(0.577291\pi\) | |||||||
\(588\) | 142.867 | + | 17.1847i | 0.242971 | + | 0.0292256i | ||||
\(589\) | 495.033 | 0.840463 | ||||||||
\(590\) | −82.9579 | + | 47.8957i | −0.140607 | + | 0.0811792i | ||||
\(591\) | −525.509 | − | 261.106i | −0.889187 | − | 0.441804i | ||||
\(592\) | −195.592 | + | 338.776i | −0.330392 | + | 0.572256i | ||||
\(593\) | 379.938 | − | 219.358i | 0.640706 | − | 0.369912i | −0.144181 | − | 0.989551i | \(-0.546055\pi\) |
0.784886 | + | 0.619640i | \(0.212721\pi\) | |||||||
\(594\) | 589.239 | − | 111.729i | 0.991984 | − | 0.188097i | ||||
\(595\) | −94.7393 | − | 205.212i | −0.159226 | − | 0.344894i | ||||
\(596\) | − | 140.253i | − | 0.235324i | ||||||
\(597\) | 385.048 | + | 580.006i | 0.644971 | + | 0.971535i | ||||
\(598\) | 25.8746 | − | 44.8160i | 0.0432685 | − | 0.0749432i | ||||
\(599\) | 749.729 | + | 432.856i | 1.25163 | + | 0.722631i | 0.971434 | − | 0.237310i | \(-0.0762658\pi\) |
0.280200 | + | 0.959942i | \(0.409599\pi\) | |||||||
\(600\) | −108.148 | + | 71.7958i | −0.180246 | + | 0.119660i | ||||
\(601\) | −85.8542 | −0.142852 | −0.0714261 | − | 0.997446i | \(-0.522755\pi\) | ||||
−0.0714261 | + | 0.997446i | \(0.522755\pi\) | |||||||
\(602\) | −230.286 | − | 162.563i | −0.382535 | − | 0.270038i | ||||
\(603\) | 243.183 | − | 30.5394i | 0.403288 | − | 0.0506458i | ||||
\(604\) | 1.68032 | + | 2.91039i | 0.00278198 | + | 0.00481853i | ||||
\(605\) | 81.9447 | + | 47.3108i | 0.135446 | + | 0.0781997i | ||||
\(606\) | 334.363 | − | 672.947i | 0.551753 | − | 1.11047i | ||||
\(607\) | −512.102 | − | 886.986i | −0.843660 | − | 1.46126i | −0.886780 | − | 0.462192i | \(-0.847063\pi\) |
0.0431202 | − | 0.999070i | \(-0.486270\pi\) | |||||||
\(608\) | 422.865i | 0.695502i | ||||||||
\(609\) | −16.0235 | + | 559.664i | −0.0263111 | + | 0.918989i | ||||
\(610\) | −257.215 | −0.421663 | ||||||||
\(611\) | 26.3310 | − | 15.2022i | 0.0430950 | − | 0.0248809i | ||||
\(612\) | −117.242 | − | 49.3855i | −0.191572 | − | 0.0806952i | ||||
\(613\) | −164.682 | + | 285.238i | −0.268650 | + | 0.465315i | −0.968513 | − | 0.248961i | \(-0.919911\pi\) |
0.699864 | + | 0.714276i | \(0.253244\pi\) | |||||||
\(614\) | 718.746 | − | 414.968i | 1.17060 | − | 0.675844i | ||||
\(615\) | −101.071 | + | 6.32155i | −0.164344 | + | 0.0102789i | ||||
\(616\) | −770.946 | − | 70.4178i | −1.25154 | − | 0.114315i | ||||
\(617\) | − | 249.124i | − | 0.403766i | −0.979410 | − | 0.201883i | \(-0.935294\pi\) | ||
0.979410 | − | 0.201883i | \(-0.0647061\pi\) | |||||||
\(618\) | −657.985 | + | 436.816i | −1.06470 | + | 0.706821i | ||||
\(619\) | 286.676 | − | 496.537i | 0.463128 | − | 0.802161i | −0.535987 | − | 0.844226i | \(-0.680060\pi\) |
0.999115 | + | 0.0420654i | \(0.0133938\pi\) | |||||||
\(620\) | −33.9016 | − | 19.5731i | −0.0546801 | − | 0.0315696i | ||||
\(621\) | 882.521 | − | 760.073i | 1.42113 | − | 1.22395i | ||||
\(622\) | 318.345 | 0.511809 | ||||||||
\(623\) | −414.616 | − | 292.684i | −0.665515 | − | 0.469798i | ||||
\(624\) | −22.9925 | + | 1.43807i | −0.0368469 | + | 0.00230460i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 151.133 | + | 87.2568i | 0.241427 | + | 0.139388i | ||||
\(627\) | 950.358 | + | 472.197i | 1.51572 | + | 0.753106i | ||||
\(628\) | −119.214 | − | 206.484i | −0.189830 | − | 0.328796i | ||||
\(629\) | − | 507.702i | − | 0.807157i | ||||||
\(630\) | −129.532 | − | 207.787i | −0.205606 | − | 0.329820i | ||||
\(631\) | 919.331 | 1.45694 | 0.728471 | − | 0.685076i | \(-0.240231\pi\) | ||||
0.728471 | + | 0.685076i | \(0.240231\pi\) | |||||||
\(632\) | −277.666 | + | 160.311i | −0.439345 | + | 0.253656i | ||||
\(633\) | −281.546 | + | 566.647i | −0.444780 | + | 0.895177i | ||||
\(634\) | −265.784 | + | 460.352i | −0.419218 | + | 0.726107i | ||||
\(635\) | −455.352 | + | 262.897i | −0.717089 | + | 0.414012i | ||||
\(636\) | −16.6349 | − | 265.965i | −0.0261555 | − | 0.418184i | ||||
\(637\) | −21.9357 | + | 25.7400i | −0.0344360 | + | 0.0404082i | ||||
\(638\) | − | 592.221i | − | 0.928247i | ||||||
\(639\) | −548.899 | + | 416.001i | −0.858998 | + | 0.651019i | ||||
\(640\) | −69.7663 | + | 120.839i | −0.109010 | + | 0.188811i | ||||
\(641\) | −534.570 | − | 308.634i | −0.833962 | − | 0.481488i | 0.0212454 | − | 0.999774i | \(-0.493237\pi\) |
−0.855207 | + | 0.518286i | \(0.826570\pi\) | |||||||
\(642\) | −119.543 | − | 180.070i | −0.186203 | − | 0.280482i | ||||
\(643\) | −787.857 | −1.22528 | −0.612642 | − | 0.790361i | \(-0.709893\pi\) | ||||
−0.612642 | + | 0.790361i | \(0.709893\pi\) | |||||||
\(644\) | −268.369 | + | 123.896i | −0.416722 | + | 0.192386i | ||||
\(645\) | −9.70158 | − | 155.113i | −0.0150412 | − | 0.240485i | ||||
\(646\) | 347.368 | + | 601.660i | 0.537722 | + | 0.931362i | ||||
\(647\) | −525.918 | − | 303.639i | −0.812857 | − | 0.469303i | 0.0350901 | − | 0.999384i | \(-0.488828\pi\) |
−0.847947 | + | 0.530081i | \(0.822162\pi\) | |||||||
\(648\) | −674.872 | − | 189.499i | −1.04147 | − | 0.292436i | ||||
\(649\) | −157.486 | − | 272.774i | −0.242660 | − | 0.420300i | ||||
\(650\) | − | 5.99816i | − | 0.00922794i | ||||||
\(651\) | 197.016 | − | 319.746i | 0.302637 | − | 0.491161i | ||||
\(652\) | 9.05652 | 0.0138904 | ||||||||
\(653\) | 922.762 | − | 532.757i | 1.41311 | − | 0.815861i | 0.417432 | − | 0.908708i | \(-0.362930\pi\) |
0.995680 | + | 0.0928474i | \(0.0295969\pi\) | |||||||
\(654\) | −12.2907 | − | 6.10680i | −0.0187931 | − | 0.00933762i | ||||
\(655\) | −87.2840 | + | 151.180i | −0.133258 | + | 0.230810i | ||||
\(656\) | −145.461 | + | 83.9822i | −0.221740 | + | 0.128022i | ||||
\(657\) | −441.348 | + | 55.4254i | −0.671763 | + | 0.0843614i | ||||
\(658\) | 533.765 | + | 48.7538i | 0.811193 | + | 0.0740939i | ||||
\(659\) | 894.888i | 1.35795i | 0.734162 | + | 0.678974i | \(0.237575\pi\) | ||||
−0.734162 | + | 0.678974i | \(0.762425\pi\) | |||||||
\(660\) | −46.4137 | − | 69.9140i | −0.0703238 | − | 0.105930i | ||||
\(661\) | 241.970 | − | 419.105i | 0.366067 | − | 0.634047i | −0.622880 | − | 0.782318i | \(-0.714037\pi\) |
0.988947 | + | 0.148271i | \(0.0473707\pi\) | |||||||
\(662\) | −274.176 | − | 158.296i | −0.414163 | − | 0.239117i | ||||
\(663\) | 24.9098 | − | 16.5368i | 0.0375714 | − | 0.0249424i | ||||
\(664\) | 173.463 | 0.261240 | ||||||||
\(665\) | 39.4094 | − | 431.461i | 0.0592622 | − | 0.648813i | ||||
\(666\) | −68.5314 | − | 545.710i | −0.102900 | − | 0.819385i | ||||
\(667\) | −575.057 | − | 996.029i | −0.862155 | − | 1.49330i | ||||
\(668\) | 166.175 | + | 95.9412i | 0.248765 | + | 0.143624i | ||||
\(669\) | 133.029 | − | 267.738i | 0.198848 | − | 0.400207i | ||||
\(670\) | 52.9208 | + | 91.6616i | 0.0789863 | + | 0.136808i | ||||
\(671\) | − | 845.749i | − | 1.26043i | ||||||
\(672\) | 273.132 | + | 168.295i | 0.406447 | + | 0.250439i | ||||
\(673\) | −466.753 | −0.693540 | −0.346770 | − | 0.937950i | \(-0.612722\pi\) | ||||
−0.346770 | + | 0.937950i | \(0.612722\pi\) | |||||||
\(674\) | 191.365 | − | 110.485i | 0.283925 | − | 0.163924i | ||||
\(675\) | 44.5377 | − | 127.442i | 0.0659817 | − | 0.188803i | ||||
\(676\) | 82.4830 | − | 142.865i | 0.122016 | − | 0.211338i | ||||
\(677\) | 958.597 | − | 553.446i | 1.41595 | − | 0.817498i | 0.420008 | − | 0.907520i | \(-0.362027\pi\) |
0.995940 | + | 0.0900224i | \(0.0286939\pi\) | |||||||
\(678\) | 728.668 | − | 45.5748i | 1.07473 | − | 0.0672194i | ||||
\(679\) | 68.2549 | + | 147.845i | 0.100523 | + | 0.217739i | ||||
\(680\) | − | 279.431i | − | 0.410929i | ||||||
\(681\) | −769.500 | + | 510.847i | −1.12996 | + | 0.750142i | ||||
\(682\) | −198.627 | + | 344.033i | −0.291243 | + | 0.504447i | ||||
\(683\) | −222.898 | − | 128.690i | −0.326351 | − | 0.188419i | 0.327869 | − | 0.944723i | \(-0.393670\pi\) |
−0.654220 | + | 0.756305i | \(0.727003\pi\) | |||||||
\(684\) | −147.294 | − | 194.349i | −0.215342 | − | 0.284136i | ||||
\(685\) | −319.988 | −0.467136 | ||||||||
\(686\) | −577.596 | + | 147.693i | −0.841977 | + | 0.215296i | ||||
\(687\) | 167.098 | − | 10.4512i | 0.243228 | − | 0.0152128i | ||||
\(688\) | −128.886 | − | 223.237i | −0.187335 | − | 0.324473i | ||||
\(689\) | 54.2392 | + | 31.3150i | 0.0787216 | + | 0.0454499i | ||||
\(690\) | 450.436 | + | 223.805i | 0.652806 | + | 0.324355i | ||||
\(691\) | −237.797 | − | 411.877i | −0.344135 | − | 0.596059i | 0.641061 | − | 0.767490i | \(-0.278494\pi\) |
−0.985196 | + | 0.171431i | \(0.945161\pi\) | |||||||
\(692\) | − | 101.671i | − | 0.146924i | ||||||
\(693\) | 683.226 | − | 425.916i | 0.985896 | − | 0.614597i | ||||
\(694\) | 610.538 | 0.879738 | ||||||||
\(695\) | 231.269 | − | 133.523i | 0.332761 | − | 0.192120i | ||||
\(696\) | −307.999 | + | 619.887i | −0.442527 | + | 0.890642i | ||||
\(697\) | 108.997 | − | 188.788i | 0.156380 | − | 0.270858i | ||||
\(698\) | −817.359 | + | 471.903i | −1.17100 | + | 0.676078i | ||||
\(699\) | −38.1943 | − | 610.666i | −0.0546414 | − | 0.873628i | ||||
\(700\) | −19.7584 | + | 27.9898i | −0.0282264 | + | 0.0399854i | ||||
\(701\) | − | 310.690i | − | 0.443209i | −0.975137 | − | 0.221605i | \(-0.928871\pi\) | ||
0.975137 | − | 0.221605i | \(-0.0711294\pi\) | |||||||
\(702\) | 24.5425 | − | 21.1373i | 0.0349608 | − | 0.0301101i | ||||
\(703\) | 486.594 | − | 842.805i | 0.692168 | − | 1.19887i | ||||
\(704\) | −786.431 | − | 454.046i | −1.11709 | − | 0.644952i | ||||
\(705\) | 163.445 | + | 246.201i | 0.231836 | + | 0.349221i | ||||
\(706\) | −91.2628 | −0.129267 | ||||||||
\(707\) | 91.7571 | − | 1004.57i | 0.129784 | − | 1.42090i | ||||
\(708\) | 4.51815 | + | 72.2380i | 0.00638157 | + | 0.102031i | ||||
\(709\) | 134.556 | + | 233.058i | 0.189783 | + | 0.328714i | 0.945178 | − | 0.326556i | \(-0.105888\pi\) |
−0.755395 | + | 0.655270i | \(0.772555\pi\) | |||||||
\(710\) | −257.576 | − | 148.711i | −0.362783 | − | 0.209453i | ||||
\(711\) | 129.440 | − | 307.292i | 0.182053 | − | 0.432197i | ||||
\(712\) | −313.715 | − | 543.371i | −0.440611 | − | 0.763161i | ||||
\(713\) | 771.483i | 1.08202i | ||||||||
\(714\) | 526.865 | + | 15.0844i | 0.737906 | + | 0.0211266i | ||||
\(715\) | 19.7226 | 0.0275841 | ||||||||
\(716\) | −238.279 | + | 137.570i | −0.332792 | + | 0.192137i | ||||
\(717\) | 225.604 | + | 112.094i | 0.314650 | + | 0.156338i | ||||
\(718\) | 367.732 | − | 636.930i | 0.512161 | − | 0.887090i | ||||
\(719\) | −845.804 | + | 488.325i | −1.17636 | + | 0.679173i | −0.955170 | − | 0.296057i | \(-0.904328\pi\) |
−0.221192 | + | 0.975230i | \(0.570995\pi\) | |||||||
\(720\) | −27.9000 | − | 222.166i | −0.0387500 | − | 0.308564i | ||||
\(721\) | −611.436 | + | 866.159i | −0.848038 | + | 1.20133i | ||||
\(722\) | 704.239i | 0.975400i | ||||||||
\(723\) | −226.650 | − | 341.408i | −0.313485 | − | 0.472210i | ||||
\(724\) | −26.1736 | + | 45.3340i | −0.0361514 | + | 0.0626161i | ||||
\(725\) | −115.448 | − | 66.6540i | −0.159239 | − | 0.0919366i | ||||
\(726\) | −183.832 | + | 122.040i | −0.253211 | + | 0.168099i | ||||
\(727\) | 214.232 | 0.294680 | 0.147340 | − | 0.989086i | \(-0.452929\pi\) | ||||
0.147340 | + | 0.989086i | \(0.452929\pi\) | |||||||
\(728\) | −37.9598 | + | 17.5247i | −0.0521426 | + | 0.0240724i | ||||
\(729\) | 678.398 | − | 266.866i | 0.930587 | − | 0.366072i | ||||
\(730\) | −96.0451 | − | 166.355i | −0.131569 | − | 0.227884i | ||||
\(731\) | 289.730 | + | 167.276i | 0.396348 | + | 0.228832i | ||||
\(732\) | −86.4784 | + | 174.049i | −0.118140 | + | 0.237772i | ||||
\(733\) | −29.1732 | − | 50.5295i | −0.0397997 | − | 0.0689352i | 0.845439 | − | 0.534071i | \(-0.179339\pi\) |
−0.885239 | + | 0.465136i | \(0.846005\pi\) | |||||||
\(734\) | 89.2351i | 0.121574i | ||||||||
\(735\) | −263.000 | − | 197.170i | −0.357823 | − | 0.268259i | ||||
\(736\) | −659.014 | −0.895399 | ||||||||
\(737\) | −301.393 | + | 174.010i | −0.408946 | + | 0.236105i | ||||
\(738\) | 91.6735 | − | 217.634i | 0.124219 | − | 0.294898i | ||||
\(739\) | −444.978 | + | 770.724i | −0.602135 | + | 1.04293i | 0.390363 | + | 0.920661i | \(0.372350\pi\) |
−0.992497 | + | 0.122267i | \(0.960984\pi\) | |||||||
\(740\) | −66.6474 | + | 38.4789i | −0.0900641 | + | 0.0519985i | ||||
\(741\) | 57.2006 | − | 3.57763i | 0.0771938 | − | 0.00482811i | ||||
\(742\) | 462.777 | + | 1002.41i | 0.623688 | + | 1.35095i | ||||
\(743\) | 625.012i | 0.841200i | 0.907246 | + | 0.420600i | \(0.138180\pi\) | ||||
−0.907246 | + | 0.420600i | \(0.861820\pi\) | |||||||
\(744\) | 386.829 | − | 256.803i | 0.519931 | − | 0.345166i | ||||
\(745\) | −160.189 | + | 277.456i | −0.215019 | + | 0.372424i | ||||
\(746\) | −713.140 | − | 411.731i | −0.955951 | − | 0.551919i | ||||
\(747\) | −143.773 | + | 108.963i | −0.192468 | + | 0.145868i | ||||
\(748\) | 180.644 | 0.241502 | ||||||||
\(749\) | −237.040 | − | 167.331i | −0.316476 | − | 0.223405i | ||||
\(750\) | 58.1851 | − | 3.63921i | 0.0775801 | − | 0.00485228i | ||||
\(751\) | 84.2527 | + | 145.930i | 0.112187 | + | 0.194314i | 0.916652 | − | 0.399686i | \(-0.130881\pi\) |
−0.804465 | + | 0.594001i | \(0.797548\pi\) | |||||||
\(752\) | 424.474 | + | 245.070i | 0.564460 | + | 0.325891i | ||||
\(753\) | 350.389 | + | 174.095i | 0.465324 | + | 0.231202i | ||||
\(754\) | −15.9921 | − | 27.6991i | −0.0212096 | − | 0.0367362i | ||||
\(755\) | − | 7.67666i | − | 0.0101678i | ||||||
\(756\) | −184.153 | + | 17.7899i | −0.243588 | + | 0.0235316i | ||||
\(757\) | 226.565 | 0.299294 | 0.149647 | − | 0.988740i | \(-0.452186\pi\) | ||||
0.149647 | + | 0.988740i | \(0.452186\pi\) | |||||||
\(758\) | −541.795 | + | 312.805i | −0.714769 | + | 0.412672i | ||||
\(759\) | −735.895 | + | 1481.08i | −0.969559 | + | 1.95136i | ||||
\(760\) | 267.814 | − | 463.867i | 0.352387 | − | 0.610352i | ||||
\(761\) | 216.707 | − | 125.116i | 0.284766 | − | 0.164410i | −0.350813 | − | 0.936446i | \(-0.614095\pi\) |
0.635579 | + | 0.772036i | \(0.280761\pi\) | |||||||
\(762\) | −76.5390 | − | 1223.74i | −0.100445 | − | 1.60595i | ||||
\(763\) | −18.3475 | − | 1.67585i | −0.0240466 | − | 0.00219640i | ||||
\(764\) | 103.504i | 0.135476i | ||||||||
\(765\) | 175.529 | + | 231.604i | 0.229449 | + | 0.302751i | ||||
\(766\) | −323.667 | + | 560.607i | −0.422541 | + | 0.731863i | ||||
\(767\) | −14.7317 | − | 8.50537i | −0.0192070 | − | 0.0110891i | ||||
\(768\) | 291.652 | + | 439.322i | 0.379755 | + | 0.572033i | ||||
\(769\) | 55.8478 | 0.0726240 | 0.0363120 | − | 0.999341i | \(-0.488439\pi\) | ||||
0.0363120 | + | 0.999341i | \(0.488439\pi\) | |||||||
\(770\) | 284.040 | + | 200.508i | 0.368883 | + | 0.260400i | ||||
\(771\) | 30.1722 | + | 482.406i | 0.0391339 | + | 0.625688i | ||||
\(772\) | 44.1120 | + | 76.4042i | 0.0571399 | + | 0.0989692i | ||||
\(773\) | −1160.40 | − | 669.957i | −1.50116 | − | 0.866697i | −0.999999 | − | 0.00134522i | \(-0.999572\pi\) |
−0.501165 | − | 0.865352i | \(-0.667095\pi\) | |||||||
\(774\) | 334.000 | + | 140.690i | 0.431525 | + | 0.181770i | ||||
\(775\) | 44.7107 | + | 77.4412i | 0.0576912 | + | 0.0999241i | ||||
\(776\) | 201.316i | 0.259428i | ||||||||
\(777\) | −350.717 | − | 649.720i | −0.451373 | − | 0.836191i | ||||
\(778\) | −1103.97 | −1.41898 | ||||||||
\(779\) | 361.878 | − | 208.931i | 0.464542 | − | 0.268204i | ||||
\(780\) | −4.05876 | − | 2.01665i | −0.00520354 | − | 0.00258545i | ||||
\(781\) | 488.979 | − | 846.937i | 0.626094 | − | 1.08443i | ||||
\(782\) | −937.655 | + | 541.356i | −1.19905 | + | 0.692271i | ||||
\(783\) | −134.109 | − | 707.261i | −0.171275 | − | 0.903271i | ||||
\(784\) | −536.163 | − | 98.7697i | −0.683882 | − | 0.125982i | ||||
\(785\) | 544.637i | 0.693805i | ||||||||
\(786\) | −225.152 | − | 339.152i | −0.286453 | − | 0.431491i | ||||
\(787\) | −203.728 | + | 352.868i | −0.258867 | + | 0.448371i | −0.965939 | − | 0.258771i | \(-0.916682\pi\) |
0.707072 | + | 0.707142i | \(0.250016\pi\) | |||||||
\(788\) | −165.819 | − | 95.7357i | −0.210430 | − | 0.121492i | ||||
\(789\) | 685.782 | − | 455.269i | 0.869178 | − | 0.577020i | ||||
\(790\) | 143.994 | 0.182271 | ||||||||
\(791\) | 889.849 | − | 410.812i | 1.12497 | − | 0.519358i | ||||
\(792\) | 987.586 | − | 124.023i | 1.24695 | − | 0.156595i | ||||
\(793\) | −22.8382 | − | 39.5569i | −0.0287998 | − | 0.0498826i | ||||
\(794\) | 1145.60 | + | 661.412i | 1.44282 | + | 0.833013i | ||||
\(795\) | −270.863 | + | 545.146i | −0.340708 | + | 0.685718i | ||||
\(796\) | 113.581 | + | 196.728i | 0.142690 | + | 0.247145i | ||||
\(797\) | 551.602i | 0.692098i | 0.938216 | + | 0.346049i | \(0.112477\pi\) | ||||
−0.938216 | + | 0.346049i | \(0.887523\pi\) | |||||||
\(798\) | 860.159 | + | 530.001i | 1.07789 | + | 0.664162i | ||||
\(799\) | −636.132 | −0.796160 | ||||||||
\(800\) | −66.1516 | + | 38.1926i | −0.0826895 | + | 0.0477408i | ||||
\(801\) | 601.346 | + | 253.303i | 0.750744 | + | 0.316234i | ||||
\(802\) | −16.9749 | + | 29.4015i | −0.0211658 | + | 0.0366602i | ||||
\(803\) | 546.993 | − | 315.807i | 0.681187 | − | 0.393284i | ||||
\(804\) | 79.8170 | − | 4.99218i | 0.0992749 | − | 0.00620919i | ||||
\(805\) | 672.409 | + | 61.4175i | 0.835291 | + | 0.0762950i | ||||
\(806\) | 21.4546i | 0.0266186i | ||||||||
\(807\) | −442.306 | + | 293.633i | −0.548087 | + | 0.363858i | ||||
\(808\) | 623.553 | − | 1080.03i | 0.771724 | − | 1.33667i | ||||
\(809\) | −641.297 | − | 370.253i | −0.792703 | − | 0.457668i | 0.0482100 | − | 0.998837i | \(-0.484648\pi\) |
−0.840913 | + | 0.541170i | \(0.817982\pi\) | |||||||
\(810\) | 219.932 | + | 225.249i | 0.271521 | + | 0.278086i | ||||
\(811\) | 1613.59 | 1.98964 | 0.994818 | − | 0.101674i | \(-0.0324200\pi\) | ||||
0.994818 | + | 0.101674i | \(0.0324200\pi\) | |||||||
\(812\) | −16.6177 | + | 181.934i | −0.0204652 | + | 0.224057i | ||||
\(813\) | −852.706 | + | 53.3328i | −1.04884 | + | 0.0656000i | ||||
\(814\) | 390.483 | + | 676.336i | 0.479709 | + | 0.830880i | ||||
\(815\) | −17.9161 | − | 10.3439i | −0.0219829 | − | 0.0126919i | ||||
\(816\) | 431.650 | + | 214.471i | 0.528983 | + | 0.262832i | ||||
\(817\) | 320.643 | + | 555.369i | 0.392463 | + | 0.679766i | ||||
\(818\) | − | 1072.03i | − | 1.31056i | ||||||
\(819\) | 20.4543 | − | 38.3702i | 0.0249747 | − | 0.0468500i | ||||
\(820\) | −33.0437 | −0.0402972 | ||||||||
\(821\) | 33.3307 | − | 19.2435i | 0.0405977 | − | 0.0234391i | −0.479564 | − | 0.877507i | \(-0.659205\pi\) |
0.520161 | + | 0.854068i | \(0.325872\pi\) | |||||||
\(822\) | 332.032 | − | 668.256i | 0.403931 | − | 0.812963i | ||||
\(823\) | −327.466 | + | 567.187i | −0.397893 | + | 0.689170i | −0.993466 | − | 0.114131i | \(-0.963592\pi\) |
0.595573 | + | 0.803301i | \(0.296925\pi\) | |||||||
\(824\) | −1135.14 | + | 655.371i | −1.37759 | + | 0.795353i | ||||
\(825\) | 11.9661 | + | 191.319i | 0.0145044 | + | 0.231902i | ||||
\(826\) | −125.693 | − | 272.261i | −0.152171 | − | 0.329614i | ||||
\(827\) | − | 523.381i | − | 0.632867i | −0.948615 | − | 0.316433i | \(-0.897515\pi\) | ||
0.948615 | − | 0.316433i | \(-0.102485\pi\) | |||||||
\(828\) | 302.883 | − | 229.550i | 0.365801 | − | 0.277234i | ||||
\(829\) | 517.938 | − | 897.096i | 0.624775 | − | 1.08214i | −0.363810 | − | 0.931473i | \(-0.618524\pi\) |
0.988584 | − | 0.150668i | \(-0.0481426\pi\) | |||||||
\(830\) | −67.4669 | − | 38.9520i | −0.0812854 | − | 0.0469302i | ||||
\(831\) | −116.743 | − | 175.853i | −0.140485 | − | 0.211616i | ||||
\(832\) | −49.0434 | −0.0589464 | ||||||||
\(833\) | 666.730 | − | 236.917i | 0.800396 | − | 0.284414i | ||||
\(834\) | 38.8735 | + | 621.525i | 0.0466109 | + | 0.745233i | ||||
\(835\) | −219.158 | − | 379.592i | −0.262464 | − | 0.454601i | ||||
\(836\) | 299.876 | + | 173.133i | 0.358703 | + | 0.207097i | ||||
\(837\) | −159.305 | + | 455.841i | −0.190328 | + | 0.544613i | ||||
\(838\) | 414.043 | + | 717.144i | 0.494085 | + | 0.855780i | ||||
\(839\) | − | 941.095i | − | 1.12169i | −0.827922 | − | 0.560843i | \(-0.810477\pi\) | ||
0.827922 | − | 0.560843i | \(-0.189523\pi\) | |||||||
\(840\) | −193.029 | − | 357.596i | −0.229797 | − | 0.425710i | ||||
\(841\) | 130.159 | 0.154766 | ||||||||
\(842\) | −253.412 | + | 146.307i | −0.300964 | + | 0.173762i | ||||
\(843\) | 1102.49 | + | 547.784i | 1.30781 | + | 0.649804i | ||||
\(844\) | −103.230 | + | 178.800i | −0.122310 | + | 0.211848i | ||||
\(845\) | −326.345 | + | 188.415i | −0.386207 | + | 0.222977i | ||||
\(846\) | −683.755 | + | 85.8673i | −0.808221 | + | 0.101498i | ||||
\(847\) | −170.826 | + | 241.992i | −0.201684 | + | 0.285705i | ||||
\(848\) | 1009.64i | 1.19061i | ||||||||
\(849\) | −696.584 | − | 1049.28i | −0.820476 | − | 1.23590i | ||||
\(850\) | −62.7477 | + | 108.682i | −0.0738208 | + | 0.127861i | ||||
\(851\) | 1313.47 | + | 758.331i | 1.54344 | + | 0.891106i | ||||
\(852\) | −187.228 | + | 124.295i | −0.219751 | + | 0.145886i | ||||
\(853\) | 39.6225 | 0.0464507 | 0.0232254 | − | 0.999730i | \(-0.492606\pi\) | ||||
0.0232254 | + | 0.999730i | \(0.492606\pi\) | |||||||
\(854\) | 73.2424 | − | 801.871i | 0.0857640 | − | 0.938959i | ||||
\(855\) | 69.4096 | + | 552.703i | 0.0811808 | + | 0.646437i | ||||
\(856\) | −179.354 | − | 310.651i | −0.209526 | − | 0.362910i | ||||
\(857\) | 424.897 | + | 245.314i | 0.495796 | + | 0.286248i | 0.726976 | − | 0.686663i | \(-0.240925\pi\) |
−0.231180 | + | 0.972911i | \(0.574259\pi\) | |||||||
\(858\) | −20.4649 | + | 41.1882i | −0.0238518 | + | 0.0480049i | ||||
\(859\) | 553.321 | + | 958.381i | 0.644146 | + | 1.11569i | 0.984498 | + | 0.175395i | \(0.0561204\pi\) |
−0.340352 | + | 0.940298i | \(0.610546\pi\) | |||||||
\(860\) | − | 50.7116i | − | 0.0589670i | ||||||
\(861\) | 9.07277 | − | 316.892i | 0.0105375 | − | 0.368051i | ||||
\(862\) | −187.276 | −0.217258 | ||||||||
\(863\) | −487.589 | + | 281.510i | −0.564993 | + | 0.326199i | −0.755147 | − | 0.655555i | \(-0.772435\pi\) |
0.190154 | + | 0.981754i | \(0.439101\pi\) | |||||||
\(864\) | −389.387 | − | 136.081i | −0.450679 | − | 0.157501i | ||||
\(865\) | −116.124 | + | 201.132i | −0.134247 | + | 0.232522i | ||||
\(866\) | −74.7122 | + | 43.1351i | −0.0862728 | + | 0.0498096i | ||||
\(867\) | 240.967 | − | 15.0714i | 0.277932 | − | 0.0173834i | ||||
\(868\) | 70.6731 | − | 100.115i | 0.0814206 | − | 0.115340i | ||||
\(869\) | 473.468i | 0.544843i | ||||||||
\(870\) | 258.992 | − | 171.936i | 0.297692 | − | 0.197628i | ||||
\(871\) | −9.39774 | + | 16.2774i | −0.0107896 | + | 0.0186881i | ||||
\(872\) | −19.7256 | − | 11.3886i | −0.0226211 | − | 0.0130603i | ||||
\(873\) | −126.460 | − | 166.859i | −0.144856 | − | 0.191133i | ||||
\(874\) | −2075.39 | −2.37459 | ||||||||
\(875\) | 71.0556 | − | 32.8039i | 0.0812064 | − | 0.0374902i | ||||
\(876\) | −144.859 | + | 9.06023i | −0.165364 | + | 0.0103427i | ||||
\(877\) | 642.022 | + | 1112.01i | 0.732066 | + | 1.26798i | 0.955999 | + | 0.293371i | \(0.0947770\pi\) |
−0.223933 | + | 0.974605i | \(0.571890\pi\) | |||||||
\(878\) | 202.268 | + | 116.779i | 0.230373 | + | 0.133006i | ||||
\(879\) | 59.2686 | + | 29.4484i | 0.0674273 | + | 0.0335021i | ||||
\(880\) | 158.971 | + | 275.345i | 0.180649 | + | 0.312892i | ||||
\(881\) | 674.103i | 0.765156i | 0.923923 | + | 0.382578i | \(0.124964\pi\) | ||||
−0.923923 | + | 0.382578i | \(0.875036\pi\) | |||||||
\(882\) | 684.664 | − | 344.651i | 0.776263 | − | 0.390760i | ||||
\(883\) | −1198.11 | −1.35686 | −0.678431 | − | 0.734664i | \(-0.737340\pi\) | ||||
−0.678431 | + | 0.734664i | \(0.737340\pi\) | |||||||
\(884\) | 8.44896 | − | 4.87801i | 0.00955765 | − | 0.00551811i | ||||
\(885\) | 73.5682 | − | 148.065i | 0.0831280 | − | 0.167306i | ||||
\(886\) | 382.876 | − | 663.161i | 0.432140 | − | 0.748489i | ||||
\(887\) | 207.517 | − | 119.810i | 0.233954 | − | 0.135073i | −0.378441 | − | 0.925626i | \(-0.623540\pi\) |
0.612395 | + | 0.790552i | \(0.290206\pi\) | |||||||
\(888\) | −56.9795 | − | 911.011i | −0.0641661 | − | 1.02591i | ||||
\(889\) | −689.925 | − | 1494.43i | −0.776068 | − | 1.68102i | ||||
\(890\) | 281.785i | 0.316613i | ||||||||
\(891\) | −740.645 | + | 723.161i | −0.831251 | + | 0.811629i | ||||
\(892\) | 48.7758 | − | 84.4821i | 0.0546813 | − | 0.0947109i | ||||
\(893\) | −1056.00 | − | 609.684i | −1.18254 | − | 0.682737i | ||||
\(894\) | −413.214 | − | 622.433i | −0.462208 | − | 0.696234i | ||||
\(895\) | 628.502 | 0.702237 | ||||||||
\(896\) | −356.851 | − | 251.907i | −0.398271 | − | 0.281146i | ||||
\(897\) | 5.57556 | + | 89.1442i | 0.00621578 | + | 0.0993804i | ||||
\(898\) | 179.513 | + | 310.926i | 0.199904 | + | 0.346243i | ||||
\(899\) | 412.941 | + | 238.412i | 0.459334 | + | 0.265197i | ||||
\(900\) | 17.0999 | − | 40.5955i | 0.0189999 | − | 0.0451061i | ||||
\(901\) | −655.182 | − | 1134.81i | −0.727172 | − | 1.25950i | ||||
\(902\) | 335.326i | 0.371759i | ||||||||
\(903\) | 486.329 | + | 13.9238i | 0.538570 | + | 0.0154195i | ||||
\(904\) | 1211.68 | 1.34036 | ||||||||
\(905\) | 103.556 | − | 59.7882i | 0.114427 | − | 0.0660643i | ||||
\(906\) | 16.0317 | + | 7.96558i | 0.0176951 | + | 0.00879203i | ||||
\(907\) | 577.816 | − | 1000.81i | 0.637063 | − | 1.10342i | −0.349012 | − | 0.937118i | \(-0.613483\pi\) |
0.986074 | − | 0.166306i | \(-0.0531840\pi\) | |||||||
\(908\) | −261.001 | + | 150.689i | −0.287446 | + | 0.165957i | ||||
\(909\) | 161.607 | + | 1286.86i | 0.177785 | + | 1.41569i | ||||
\(910\) | 18.6994 | + | 1.70799i | 0.0205488 | + | 0.00187691i | ||||
\(911\) | 1411.99i | 1.54994i | 0.631998 | + | 0.774970i | \(0.282235\pi\) | ||||
−0.631998 | + | 0.774970i | \(0.717765\pi\) | |||||||
\(912\) | 511.003 | + | 769.735i | 0.560310 | + | 0.844008i | ||||
\(913\) | 128.079 | − | 221.839i | 0.140283 | − | 0.242978i | ||||
\(914\) | −44.1086 | − | 25.4661i | −0.0482589 | − | 0.0278623i | ||||
\(915\) | 369.865 | − | 245.542i | 0.404224 | − | 0.268352i | ||||
\(916\) | 54.6299 | 0.0596396 | ||||||||
\(917\) | −446.453 | − | 315.158i | −0.486863 | − | 0.343684i | ||||
\(918\) | −665.811 | + | 126.249i | −0.725285 | + | 0.137526i | ||||
\(919\) | −694.896 | − | 1203.60i | −0.756144 | − | 1.30968i | −0.944804 | − | 0.327637i | \(-0.893748\pi\) |
0.188660 | − | 0.982043i | \(-0.439586\pi\) | |||||||
\(920\) | 722.913 | + | 417.374i | 0.785775 | + | 0.453668i | ||||
\(921\) | −637.394 | + | 1282.84i | −0.692068 | + | 1.39287i | ||||
\(922\) | −35.7061 | − | 61.8448i | −0.0387268 | − | 0.0670768i | ||||
\(923\) | − | 52.8166i | − | 0.0572228i | ||||||
\(924\) | 231.175 | − | 124.787i | 0.250189 | − | 0.135051i | ||||
\(925\) | 175.794 | 0.190048 | ||||||||
\(926\) | 343.569 | − | 198.360i | 0.371025 | − | 0.214211i | ||||
\(927\) | 529.167 | − | 1256.25i | 0.570838 | − | 1.35518i | ||||
\(928\) | −203.655 | + | 352.741i | −0.219456 | + | 0.380109i | ||||
\(929\) | 280.389 | − | 161.883i | 0.301818 | − | 0.174255i | −0.341441 | − | 0.939903i | \(-0.610915\pi\) |
0.643259 | + | 0.765648i | \(0.277582\pi\) | |||||||
\(930\) | −208.120 | + | 13.0169i | −0.223785 | + | 0.0139967i | ||||
\(931\) | 1333.86 | + | 245.719i | 1.43272 | + | 0.263930i | ||||
\(932\) | − | 199.647i | − | 0.214214i | ||||||
\(933\) | −457.769 | + | 303.898i | −0.490642 | + | 0.325722i | ||||
\(934\) | −509.939 | + | 883.241i | −0.545974 | + | 0.945654i | ||||
\(935\) | −357.359 | − | 206.321i | −0.382202 | − | 0.220664i | ||||
\(936\) | 42.8418 | − | 32.4690i | 0.0457711 | − | 0.0346891i | ||||
\(937\) | 1523.58 | 1.62602 | 0.813009 | − | 0.582252i | \(-0.197828\pi\) | ||||
0.813009 | + | 0.582252i | \(0.197828\pi\) | |||||||
\(938\) | −300.826 | + | 138.881i | −0.320710 | + | 0.148061i | ||||
\(939\) | −300.621 | + | 18.8025i | −0.320150 | + | 0.0200239i | ||||
\(940\) | 48.2127 | + | 83.5068i | 0.0512901 | + | 0.0888370i | ||||
\(941\) | −32.4890 | − | 18.7575i | −0.0345260 | − | 0.0199336i | 0.482638 | − | 0.875820i | \(-0.339679\pi\) |
−0.517164 | + | 0.855887i | \(0.673012\pi\) | |||||||
\(942\) | −1137.41 | − | 565.135i | −1.20744 | − | 0.599931i | ||||
\(943\) | 325.608 | + | 563.969i | 0.345289 | + | 0.598058i | ||||
\(944\) | − | 274.224i | − | 0.290492i | ||||||
\(945\) | 384.620 | + | 175.136i | 0.407005 | + | 0.185329i | ||||
\(946\) | −514.620 | −0.543996 | ||||||||
\(947\) | 604.606 | − | 349.069i | 0.638443 | − | 0.368605i | −0.145571 | − | 0.989348i | \(-0.546502\pi\) |
0.784015 | + | 0.620742i | \(0.213169\pi\) | |||||||
\(948\) | 48.4124 | − | 97.4362i | 0.0510680 | − | 0.102781i | ||||
\(949\) | 17.0558 | − | 29.5415i | 0.0179724 | − | 0.0311291i | ||||
\(950\) | −208.327 | + | 120.278i | −0.219292 | + | 0.126608i | ||||
\(951\) | −57.2723 | − | 915.692i | −0.0602232 | − | 0.962872i | ||||
\(952\) | 871.132 | + | 79.5687i | 0.915055 | + | 0.0835806i | ||||
\(953\) | 439.544i | 0.461221i | 0.973046 | + | 0.230610i | \(0.0740723\pi\) | ||||
−0.973046 | + | 0.230610i | \(0.925928\pi\) | |||||||
\(954\) | −857.412 | − | 1131.33i | −0.898755 | − | 1.18588i | ||||
\(955\) | 118.216 | − | 204.757i | 0.123787 | − | 0.214405i | ||||
\(956\) | 71.1870 | + | 41.0998i | 0.0744634 | + | 0.0429915i | ||||
\(957\) | 565.346 | + | 851.593i | 0.590748 | + | 0.889857i | ||||
\(958\) | −1262.84 | −1.31820 | ||||||||
\(959\) | 91.1175 | − | 997.570i | 0.0950130 | − | 1.04022i | ||||
\(960\) | −29.7556 | − | 475.745i | −0.0309955 | − | 0.495568i | ||||
\(961\) | 320.576 | + | 555.254i | 0.333586 | + | 0.577788i | ||||
\(962\) | 36.5269 | + | 21.0888i | 0.0379698 | + | 0.0219218i | ||||
\(963\) | 343.796 | + | 144.816i | 0.357005 | + | 0.150380i | ||||
\(964\) | −66.8568 | − | 115.799i | −0.0693535 | − | 0.120124i | ||||
\(965\) | − | 201.529i | − | 0.208839i | ||||||
\(966\) | −825.979 | + | 1340.51i | −0.855051 | + | 1.38770i | ||||
\(967\) | −868.372 | −0.898006 | −0.449003 | − | 0.893530i | \(-0.648221\pi\) | ||||
−0.449003 | + | 0.893530i | \(0.648221\pi\) | |||||||
\(968\) | −317.141 | + | 183.101i | −0.327625 | + | 0.189154i | ||||
\(969\) | −1073.86 | − | 533.561i | −1.10821 | − | 0.550630i | ||||
\(970\) | 45.2066 | − | 78.3001i | 0.0466047 | − | 0.0807218i | ||||
\(971\) | 472.253 | − | 272.655i | 0.486357 | − | 0.280799i | −0.236705 | − | 0.971582i | \(-0.576067\pi\) |
0.723062 | + | 0.690783i | \(0.242734\pi\) | |||||||
\(972\) | 226.363 | − | 73.0897i | 0.232883 | − | 0.0751952i | ||||
\(973\) | 350.406 | + | 759.006i | 0.360130 | + | 0.780068i | ||||
\(974\) | − | 1103.90i | − | 1.13337i | ||||||
\(975\) | 5.72596 | + | 8.62514i | 0.00587278 | + | 0.00884630i | ||||
\(976\) | 368.167 | − | 637.684i | 0.377220 | − | 0.653365i | ||||
\(977\) | −370.680 | − | 214.012i | −0.379407 | − | 0.219051i | 0.298153 | − | 0.954518i | \(-0.403629\pi\) |
−0.677560 | + | 0.735467i | \(0.736963\pi\) | |||||||
\(978\) | 40.1922 | − | 26.6824i | 0.0410964 | − | 0.0272826i | ||||
\(979\) | −926.540 | −0.946415 | ||||||||
\(980\) | −81.6324 | − | 69.5675i | −0.0832984 | − | 0.0709872i | ||||
\(981\) | 23.5033 | − | 2.95159i | 0.0239585 | − | 0.00300875i | ||||
\(982\) | 59.1186 | + | 102.396i | 0.0602023 | + | 0.104273i | ||||
\(983\) | −435.599 | − | 251.493i | −0.443133 | − | 0.255843i | 0.261793 | − | 0.965124i | \(-0.415686\pi\) |
−0.704926 | + | 0.709281i | \(0.749020\pi\) | |||||||
\(984\) | 174.394 | − | 350.991i | 0.177230 | − | 0.356698i | ||||
\(985\) | 218.688 | + | 378.779i | 0.222018 | + | 0.384547i | ||||
\(986\) | 669.182i | 0.678683i | ||||||||
\(987\) | −814.076 | + | 439.436i | −0.824798 | + | 0.445224i | ||||
\(988\) | 18.7008 | 0.0189280 | ||||||||
\(989\) | −865.514 | + | 499.705i | −0.875141 | + | 0.505263i | ||||
\(990\) | −411.962 | − | 173.530i | −0.416123 | − | 0.175283i | ||||
\(991\) | −649.616 | + | 1125.17i | −0.655516 | + | 1.13539i | 0.326248 | + | 0.945284i | \(0.394215\pi\) |
−0.981764 | + | 0.190103i | \(0.939118\pi\) | |||||||
\(992\) | 236.615 | − | 136.610i | 0.238523 | − | 0.137711i | ||||
\(993\) | 545.368 | − | 34.1102i | 0.549212 | − | 0.0343507i | ||||
\(994\) | 536.956 | − | 760.651i | 0.540197 | − | 0.765242i | ||||
\(995\) | − | 518.903i | − | 0.521511i | ||||||
\(996\) | −49.0407 | + | 32.5566i | −0.0492377 | + | 0.0326873i | ||||
\(997\) | −804.600 | + | 1393.61i | −0.807021 | + | 1.39780i | 0.107897 | + | 0.994162i | \(0.465588\pi\) |
−0.914918 | + | 0.403639i | \(0.867745\pi\) | |||||||
\(998\) | 1067.38 | + | 616.250i | 1.06952 | + | 0.617485i | ||||
\(999\) | 619.491 | + | 719.290i | 0.620111 | + | 0.720010i |
(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.t.b.11.13 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.6 | ✓ | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.6 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.13 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.6 | ✓ | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.11.13 | yes | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.86.6 | yes | 36 | 7.2 | even | 3 | inner | |
105.3.t.b.86.13 | yes | 36 | 21.2 | odd | 6 | inner |