Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 69.25 |
Dual form | 69.4.e.b.58.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.39601 | − | 1.53982i | −0.847116 | − | 0.544409i | 0.0435579 | − | 0.999051i | \(-0.486131\pi\) |
−0.890674 | + | 0.454642i | \(0.849767\pi\) | |||||||
\(3\) | 0.426945 | + | 2.96946i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.0464818 | + | 0.101781i | 0.00581022 | + | 0.0127226i | ||||
\(5\) | −1.22325 | − | 0.359177i | −0.109410 | − | 0.0321258i | 0.226569 | − | 0.973995i | \(-0.427249\pi\) |
−0.335979 | + | 0.941869i | \(0.609067\pi\) | |||||||
\(6\) | 3.54948 | − | 7.77227i | 0.241511 | − | 0.528836i | ||||
\(7\) | −1.84765 | + | 2.13230i | −0.0997638 | + | 0.115134i | −0.803436 | − | 0.595391i | \(-0.796997\pi\) |
0.703672 | + | 0.710525i | \(0.251542\pi\) | |||||||
\(8\) | −3.19731 | + | 22.2377i | −0.141302 | + | 0.982779i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 2.37784 | + | 2.74417i | 0.0751938 | + | 0.0867782i | ||||
\(11\) | −46.9103 | + | 30.1474i | −1.28582 | + | 0.826345i | −0.991594 | − | 0.129391i | \(-0.958698\pi\) |
−0.294224 | + | 0.955736i | \(0.595061\pi\) | |||||||
\(12\) | −0.282390 | + | 0.181481i | −0.00679324 | + | 0.00436575i | ||||
\(13\) | 41.6560 | + | 48.0736i | 0.888716 | + | 1.02563i | 0.999495 | + | 0.0317875i | \(0.0101200\pi\) |
−0.110779 | + | 0.993845i | \(0.535335\pi\) | |||||||
\(14\) | 7.71035 | − | 2.26396i | 0.147191 | − | 0.0432193i | ||||
\(15\) | 0.544306 | − | 3.78573i | 0.00936928 | − | 0.0651648i | ||||
\(16\) | 42.4891 | − | 49.0350i | 0.663892 | − | 0.766172i | ||||
\(17\) | −43.6303 | + | 95.5370i | −0.622464 | + | 1.36301i | 0.291249 | + | 0.956647i | \(0.405929\pi\) |
−0.913713 | + | 0.406360i | \(0.866798\pi\) | |||||||
\(18\) | 24.5949 | + | 7.22172i | 0.322060 | + | 0.0945653i | ||||
\(19\) | 21.0526 | + | 46.0988i | 0.254200 | + | 0.556621i | 0.993110 | − | 0.117183i | \(-0.0373865\pi\) |
−0.738910 | + | 0.673804i | \(0.764659\pi\) | |||||||
\(20\) | −0.0203012 | − | 0.141198i | −0.000226975 | − | 0.00157864i | ||||
\(21\) | −7.12065 | − | 4.57616i | −0.0739930 | − | 0.0475524i | ||||
\(22\) | 158.819 | 1.53911 | ||||||||
\(23\) | −41.4645 | − | 102.214i | −0.375911 | − | 0.926656i | ||||
\(24\) | −67.3993 | −0.573242 | ||||||||
\(25\) | −103.789 | − | 66.7014i | −0.830315 | − | 0.533611i | ||||
\(26\) | −25.7834 | − | 179.327i | −0.194482 | − | 1.35265i | ||||
\(27\) | −11.2162 | − | 24.5601i | −0.0799467 | − | 0.175059i | ||||
\(28\) | −0.302910 | − | 0.0889424i | −0.00204445 | − | 0.000600305i | ||||
\(29\) | −25.6108 | + | 56.0799i | −0.163993 | + | 0.359095i | −0.973733 | − | 0.227694i | \(-0.926881\pi\) |
0.809739 | + | 0.586790i | \(0.199609\pi\) | |||||||
\(30\) | −7.13351 | + | 8.23251i | −0.0434131 | + | 0.0501014i | ||||
\(31\) | 25.6432 | − | 178.352i | 0.148569 | − | 1.03332i | −0.769995 | − | 0.638050i | \(-0.779741\pi\) |
0.918564 | − | 0.395272i | \(-0.129350\pi\) | |||||||
\(32\) | −4.85820 | + | 1.42650i | −0.0268380 | + | 0.00788036i | ||||
\(33\) | −109.550 | − | 126.427i | −0.577884 | − | 0.666914i | ||||
\(34\) | 251.648 | − | 161.724i | 1.26933 | − | 0.815750i | ||||
\(35\) | 3.02601 | − | 1.94470i | 0.0146140 | − | 0.00939182i | ||||
\(36\) | −0.659465 | − | 0.761063i | −0.00305308 | − | 0.00352344i | ||||
\(37\) | −6.66337 | + | 1.95654i | −0.0296068 | + | 0.00869334i | −0.296502 | − | 0.955032i | \(-0.595820\pi\) |
0.266896 | + | 0.963725i | \(0.414002\pi\) | |||||||
\(38\) | 20.5417 | − | 142.870i | 0.0876920 | − | 0.609911i | ||||
\(39\) | −124.968 | + | 144.221i | −0.513100 | + | 0.592149i | ||||
\(40\) | 11.8984 | − | 26.0538i | 0.0470325 | − | 0.102987i | ||||
\(41\) | −182.253 | − | 53.5143i | −0.694223 | − | 0.203842i | −0.0844608 | − | 0.996427i | \(-0.526917\pi\) |
−0.609762 | + | 0.792585i | \(0.708735\pi\) | |||||||
\(42\) | 10.0146 | + | 21.9290i | 0.0367927 | + | 0.0805648i | ||||
\(43\) | 23.4578 | + | 163.152i | 0.0831924 | + | 0.578616i | 0.988194 | + | 0.153208i | \(0.0489604\pi\) |
−0.905002 | + | 0.425408i | \(0.860130\pi\) | |||||||
\(44\) | −5.24891 | − | 3.37327i | −0.0179842 | − | 0.0115577i | ||||
\(45\) | 11.4740 | 0.0380098 | ||||||||
\(46\) | −58.0419 | + | 308.753i | −0.186039 | + | 0.989634i | ||||
\(47\) | 347.894 | 1.07969 | 0.539846 | − | 0.841764i | \(-0.318482\pi\) | ||||
0.539846 | + | 0.841764i | \(0.318482\pi\) | |||||||
\(48\) | 163.748 | + | 105.235i | 0.492396 | + | 0.316444i | ||||
\(49\) | 47.6811 | + | 331.629i | 0.139012 | + | 0.966849i | ||||
\(50\) | 145.972 | + | 319.634i | 0.412871 | + | 0.904061i | ||||
\(51\) | −302.321 | − | 88.7696i | −0.830068 | − | 0.243730i | ||||
\(52\) | −2.95673 | + | 6.47433i | −0.00788509 | + | 0.0172659i | ||||
\(53\) | 175.609 | − | 202.664i | 0.455127 | − | 0.525245i | −0.481088 | − | 0.876672i | \(-0.659758\pi\) |
0.936215 | + | 0.351427i | \(0.114304\pi\) | |||||||
\(54\) | −10.9440 | + | 76.1170i | −0.0275794 | + | 0.191819i | ||||
\(55\) | 68.2111 | − | 20.0286i | 0.167229 | − | 0.0491028i | ||||
\(56\) | −41.5101 | − | 47.9052i | −0.0990540 | − | 0.114314i | ||||
\(57\) | −127.901 | + | 82.1967i | −0.297208 | + | 0.191004i | ||||
\(58\) | 147.717 | − | 94.9317i | 0.334416 | − | 0.214916i | ||||
\(59\) | 260.298 | + | 300.400i | 0.574372 | + | 0.662861i | 0.966385 | − | 0.257099i | \(-0.0827665\pi\) |
−0.392013 | + | 0.919960i | \(0.628221\pi\) | |||||||
\(60\) | 0.410616 | − | 0.120568i | 0.000883504 | − | 0.000259420i | ||||
\(61\) | −53.6466 | + | 373.120i | −0.112602 | + | 0.783166i | 0.852769 | + | 0.522288i | \(0.174921\pi\) |
−0.965372 | + | 0.260879i | \(0.915988\pi\) | |||||||
\(62\) | −336.072 | + | 387.847i | −0.688405 | + | 0.794462i | ||||
\(63\) | 10.5486 | − | 23.0983i | 0.0210953 | − | 0.0461922i | ||||
\(64\) | −484.199 | − | 142.174i | −0.945700 | − | 0.277683i | ||||
\(65\) | −33.6886 | − | 73.7677i | −0.0642855 | − | 0.140766i | ||||
\(66\) | 67.8069 | + | 471.608i | 0.126461 | + | 0.879559i | ||||
\(67\) | −620.815 | − | 398.974i | −1.13201 | − | 0.727498i | −0.166031 | − | 0.986121i | \(-0.553095\pi\) |
−0.965979 | + | 0.258622i | \(0.916731\pi\) | |||||||
\(68\) | −11.7518 | −0.0209577 | ||||||||
\(69\) | 285.818 | − | 166.767i | 0.498673 | − | 0.290962i | ||||
\(70\) | −10.2448 | −0.0174927 | ||||||||
\(71\) | −535.845 | − | 344.367i | −0.895677 | − | 0.575617i | 0.00982806 | − | 0.999952i | \(-0.496872\pi\) |
−0.905505 | + | 0.424335i | \(0.860508\pi\) | |||||||
\(72\) | −28.7757 | − | 200.140i | −0.0471008 | − | 0.327593i | ||||
\(73\) | 87.3936 | + | 191.365i | 0.140118 | + | 0.306817i | 0.966662 | − | 0.256056i | \(-0.0824233\pi\) |
−0.826543 | + | 0.562873i | \(0.809696\pi\) | |||||||
\(74\) | 18.9782 | + | 5.57250i | 0.0298131 | + | 0.00875393i | ||||
\(75\) | 153.755 | − | 336.677i | 0.236721 | − | 0.518348i | ||||
\(76\) | −3.71342 | + | 4.28551i | −0.00560471 | + | 0.00646818i | ||||
\(77\) | 22.3905 | − | 155.729i | 0.0331381 | − | 0.230480i | ||||
\(78\) | 521.499 | − | 153.126i | 0.757027 | − | 0.222283i | ||||
\(79\) | −99.3022 | − | 114.601i | −0.141422 | − | 0.163210i | 0.680620 | − | 0.732637i | \(-0.261711\pi\) |
−0.822042 | + | 0.569427i | \(0.807165\pi\) | |||||||
\(80\) | −69.5868 | + | 44.7207i | −0.0972506 | + | 0.0624991i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 354.277 | + | 408.857i | 0.477114 | + | 0.550619i | ||||
\(83\) | 231.505 | − | 67.9759i | 0.306156 | − | 0.0898954i | −0.125046 | − | 0.992151i | \(-0.539908\pi\) |
0.431202 | + | 0.902256i | \(0.358090\pi\) | |||||||
\(84\) | 0.134785 | − | 0.937454i | 0.000175075 | − | 0.00121767i | ||||
\(85\) | 87.6853 | − | 101.194i | 0.111892 | − | 0.129130i | ||||
\(86\) | 195.020 | − | 427.035i | 0.244530 | − | 0.535446i | ||||
\(87\) | −177.462 | − | 52.1074i | −0.218688 | − | 0.0642126i | ||||
\(88\) | −520.425 | − | 1139.57i | −0.630425 | − | 1.38044i | ||||
\(89\) | 225.970 | + | 1571.65i | 0.269132 | + | 1.87185i | 0.456727 | + | 0.889607i | \(0.349021\pi\) |
−0.187596 | + | 0.982246i | \(0.560069\pi\) | |||||||
\(90\) | −27.4917 | − | 17.6679i | −0.0321987 | − | 0.0206929i | ||||
\(91\) | −179.473 | −0.206746 | ||||||||
\(92\) | 8.47608 | − | 8.97138i | 0.00960536 | − | 0.0101666i | ||||
\(93\) | 540.559 | 0.602724 | ||||||||
\(94\) | −833.556 | − | 535.694i | −0.914625 | − | 0.587794i | ||||
\(95\) | −9.19488 | − | 63.9518i | −0.00993026 | − | 0.0690665i | ||||
\(96\) | −6.31011 | − | 13.8172i | −0.00670858 | − | 0.0146897i | ||||
\(97\) | 534.312 | + | 156.888i | 0.559291 | + | 0.164223i | 0.549147 | − | 0.835726i | \(-0.314953\pi\) |
0.0101439 | + | 0.999949i | \(0.496771\pi\) | |||||||
\(98\) | 396.405 | − | 868.006i | 0.408602 | − | 0.894713i | ||||
\(99\) | 328.650 | − | 379.282i | 0.333642 | − | 0.385043i | ||||
\(100\) | 1.96461 | − | 13.6642i | 0.00196461 | − | 0.0136642i | ||||
\(101\) | 838.230 | − | 246.126i | 0.825812 | − | 0.242480i | 0.158595 | − | 0.987344i | \(-0.449304\pi\) |
0.667217 | + | 0.744864i | \(0.267485\pi\) | |||||||
\(102\) | 587.675 | + | 678.213i | 0.570475 | + | 0.658364i | ||||
\(103\) | 870.540 | − | 559.462i | 0.832785 | − | 0.535198i | −0.0533768 | − | 0.998574i | \(-0.516998\pi\) |
0.886162 | + | 0.463376i | \(0.153362\pi\) | |||||||
\(104\) | −1202.24 | + | 772.630i | −1.13355 | + | 0.728487i | ||||
\(105\) | 7.06664 | + | 8.15534i | 0.00656794 | + | 0.00757981i | ||||
\(106\) | −732.826 | + | 215.177i | −0.671494 | + | 0.197168i | ||||
\(107\) | 106.967 | − | 743.972i | 0.0966438 | − | 0.672173i | −0.882695 | − | 0.469946i | \(-0.844273\pi\) |
0.979339 | − | 0.202226i | \(-0.0648176\pi\) | |||||||
\(108\) | 1.97840 | − | 2.28319i | 0.00176270 | − | 0.00203426i | ||||
\(109\) | −778.196 | + | 1704.01i | −0.683832 | + | 1.49738i | 0.174699 | + | 0.984622i | \(0.444105\pi\) |
−0.858531 | + | 0.512761i | \(0.828623\pi\) | |||||||
\(110\) | −194.275 | − | 57.0442i | −0.168394 | − | 0.0494450i | ||||
\(111\) | −8.65477 | − | 18.9513i | −0.00740067 | − | 0.0162052i | ||||
\(112\) | 26.0525 | + | 181.199i | 0.0219797 | + | 0.152873i | ||||
\(113\) | −719.422 | − | 462.344i | −0.598916 | − | 0.384900i | 0.205770 | − | 0.978600i | \(-0.434030\pi\) |
−0.804686 | + | 0.593700i | \(0.797666\pi\) | |||||||
\(114\) | 433.019 | 0.355754 | ||||||||
\(115\) | 14.0083 | + | 139.926i | 0.0113590 | + | 0.113462i | ||||
\(116\) | −6.89829 | −0.00552147 | ||||||||
\(117\) | −481.613 | − | 309.514i | −0.380557 | − | 0.244569i | ||||
\(118\) | −161.114 | − | 1120.57i | −0.125693 | − | 0.874214i | ||||
\(119\) | −123.100 | − | 269.552i | −0.0948285 | − | 0.207645i | ||||
\(120\) | 82.4459 | + | 24.2083i | 0.0627187 | + | 0.0184159i | ||||
\(121\) | 738.794 | − | 1617.73i | 0.555067 | − | 1.21543i | ||||
\(122\) | 703.076 | − | 811.392i | 0.521750 | − | 0.602131i | ||||
\(123\) | 81.0969 | − | 564.041i | 0.0594493 | − | 0.413479i | ||||
\(124\) | 19.3448 | − | 5.68014i | 0.0140098 | − | 0.00411364i | ||||
\(125\) | 207.361 | + | 239.308i | 0.148376 | + | 0.171235i | ||||
\(126\) | −60.8418 | + | 39.1006i | −0.0430176 | + | 0.0276457i | ||||
\(127\) | −2047.89 | + | 1316.10i | −1.43087 | + | 0.919564i | −0.431018 | + | 0.902343i | \(0.641846\pi\) |
−0.999852 | + | 0.0172213i | \(0.994518\pi\) | |||||||
\(128\) | 967.747 | + | 1116.84i | 0.668262 | + | 0.771216i | ||||
\(129\) | −474.460 | + | 139.314i | −0.323828 | + | 0.0950846i | ||||
\(130\) | −32.8709 | + | 228.622i | −0.0221767 | + | 0.154242i | ||||
\(131\) | −182.506 | + | 210.623i | −0.121722 | + | 0.140475i | −0.813340 | − | 0.581789i | \(-0.802353\pi\) |
0.691618 | + | 0.722264i | \(0.256898\pi\) | |||||||
\(132\) | 7.77581 | − | 17.0266i | 0.00512725 | − | 0.0112271i | ||||
\(133\) | −137.195 | − | 40.2840i | −0.0894458 | − | 0.0262636i | ||||
\(134\) | 873.129 | + | 1911.89i | 0.562887 | + | 1.23255i | ||||
\(135\) | 4.89876 | + | 34.0716i | 0.00312309 | + | 0.0217216i | ||||
\(136\) | −1985.03 | − | 1275.70i | −1.25158 | − | 0.804341i | ||||
\(137\) | 1755.21 | 1.09458 | 0.547292 | − | 0.836942i | \(-0.315659\pi\) | ||||
0.547292 | + | 0.836942i | \(0.315659\pi\) | |||||||
\(138\) | −941.612 | − | 40.5329i | −0.580836 | − | 0.0250028i | ||||
\(139\) | 2225.25 | 1.35787 | 0.678933 | − | 0.734201i | \(-0.262443\pi\) | ||||
0.678933 | + | 0.734201i | \(0.262443\pi\) | |||||||
\(140\) | 0.338587 | + | 0.217597i | 0.000204399 | + | 0.000131359i | ||||
\(141\) | 148.531 | + | 1033.06i | 0.0887135 | + | 0.617016i | ||||
\(142\) | 753.625 | + | 1650.21i | 0.445372 | + | 0.975229i | ||||
\(143\) | −3403.40 | − | 999.327i | −1.99025 | − | 0.584391i | ||||
\(144\) | −242.579 | + | 531.174i | −0.140381 | + | 0.307392i | ||||
\(145\) | 51.4709 | − | 59.4006i | 0.0294788 | − | 0.0340204i | ||||
\(146\) | 85.2724 | − | 593.083i | 0.0483370 | − | 0.336191i | ||||
\(147\) | −964.404 | + | 283.175i | −0.541107 | + | 0.158883i | ||||
\(148\) | −0.508864 | − | 0.587260i | −0.000282624 | − | 0.000326166i | ||||
\(149\) | 1834.24 | − | 1178.79i | 1.00850 | − | 0.648125i | 0.0714966 | − | 0.997441i | \(-0.477222\pi\) |
0.937005 | + | 0.349316i | \(0.113586\pi\) | |||||||
\(150\) | −886.819 | + | 569.924i | −0.482723 | + | 0.310227i | ||||
\(151\) | 1898.87 | + | 2191.41i | 1.02336 | + | 1.18102i | 0.983331 | + | 0.181823i | \(0.0581999\pi\) |
0.0400302 | + | 0.999198i | \(0.487255\pi\) | |||||||
\(152\) | −1092.45 | + | 320.771i | −0.582954 | + | 0.171171i | ||||
\(153\) | 134.524 | − | 935.632i | 0.0710823 | − | 0.494388i | ||||
\(154\) | −293.442 | + | 338.651i | −0.153547 | + | 0.177203i | ||||
\(155\) | −95.4280 | + | 208.958i | −0.0494514 | + | 0.108283i | ||||
\(156\) | −20.4877 | − | 6.01572i | −0.0105149 | − | 0.00308746i | ||||
\(157\) | 711.709 | + | 1558.43i | 0.361787 | + | 0.792203i | 0.999755 | + | 0.0221402i | \(0.00704803\pi\) |
−0.637968 | + | 0.770063i | \(0.720225\pi\) | |||||||
\(158\) | 61.4640 | + | 427.492i | 0.0309482 | + | 0.215249i | ||||
\(159\) | 676.778 | + | 434.939i | 0.337559 | + | 0.216936i | ||||
\(160\) | 6.45514 | 0.00318952 | ||||||||
\(161\) | 294.563 | + | 100.441i | 0.144192 | + | 0.0491668i | ||||
\(162\) | −230.699 | −0.111885 | ||||||||
\(163\) | −60.4100 | − | 38.8232i | −0.0290287 | − | 0.0186556i | 0.526046 | − | 0.850456i | \(-0.323674\pi\) |
−0.555075 | + | 0.831801i | \(0.687310\pi\) | |||||||
\(164\) | −3.02471 | − | 21.0373i | −0.00144018 | − | 0.0100167i | ||||
\(165\) | 88.5966 | + | 193.999i | 0.0418014 | + | 0.0915323i | ||||
\(166\) | −659.357 | − | 193.605i | −0.308289 | − | 0.0905219i | ||||
\(167\) | 316.494 | − | 693.026i | 0.146653 | − | 0.321125i | −0.822023 | − | 0.569455i | \(-0.807154\pi\) |
0.968676 | + | 0.248330i | \(0.0798816\pi\) | |||||||
\(168\) | 124.530 | − | 143.716i | 0.0571889 | − | 0.0659995i | ||||
\(169\) | −263.183 | + | 1830.47i | −0.119792 | + | 0.833170i | ||||
\(170\) | −365.915 | + | 107.442i | −0.165085 | + | 0.0484733i | ||||
\(171\) | −298.687 | − | 344.703i | −0.133574 | − | 0.154152i | ||||
\(172\) | −15.5154 | + | 9.97116i | −0.00687814 | + | 0.00442031i | ||||
\(173\) | 1416.17 | − | 910.119i | 0.622368 | − | 0.399972i | −0.191109 | − | 0.981569i | \(-0.561208\pi\) |
0.813477 | + | 0.581597i | \(0.197572\pi\) | |||||||
\(174\) | 344.963 | + | 398.108i | 0.150296 | + | 0.173451i | ||||
\(175\) | 333.994 | − | 98.0696i | 0.144272 | − | 0.0423621i | ||||
\(176\) | −514.897 | + | 3581.19i | −0.220522 | + | 1.53376i | ||||
\(177\) | −780.895 | + | 901.201i | −0.331614 | + | 0.382703i | ||||
\(178\) | 1878.64 | − | 4113.64i | 0.791067 | − | 1.73219i | ||||
\(179\) | −4114.00 | − | 1207.98i | −1.71785 | − | 0.504405i | −0.733357 | − | 0.679844i | \(-0.762047\pi\) |
−0.984490 | + | 0.175439i | \(0.943866\pi\) | |||||||
\(180\) | 0.533331 | + | 1.16783i | 0.000220845 | + | 0.000483584i | ||||
\(181\) | 499.436 | + | 3473.66i | 0.205098 | + | 1.42649i | 0.788864 | + | 0.614568i | \(0.210670\pi\) |
−0.583765 | + | 0.811922i | \(0.698421\pi\) | |||||||
\(182\) | 430.019 | + | 276.357i | 0.175138 | + | 0.112555i | ||||
\(183\) | −1130.87 | −0.456811 | ||||||||
\(184\) | 2405.58 | − | 595.268i | 0.963815 | − | 0.238498i | ||||
\(185\) | 8.85369 | 0.00351857 | ||||||||
\(186\) | −1295.18 | − | 832.363i | −0.510577 | − | 0.328128i | ||||
\(187\) | −833.485 | − | 5797.01i | −0.325938 | − | 2.26695i | ||||
\(188\) | 16.1707 | + | 35.4089i | 0.00627325 | + | 0.0137365i | ||||
\(189\) | 73.0932 | + | 21.4621i | 0.0281309 | + | 0.00825999i | ||||
\(190\) | −76.4433 | + | 167.387i | −0.0291883 | + | 0.0639135i | ||||
\(191\) | 173.116 | − | 199.787i | 0.0655826 | − | 0.0756863i | −0.722010 | − | 0.691882i | \(-0.756782\pi\) |
0.787593 | + | 0.616196i | \(0.211327\pi\) | |||||||
\(192\) | 215.453 | − | 1498.51i | 0.0809844 | − | 0.563259i | ||||
\(193\) | 4258.16 | − | 1250.31i | 1.58813 | − | 0.466317i | 0.635919 | − | 0.771756i | \(-0.280621\pi\) |
0.952212 | + | 0.305439i | \(0.0988031\pi\) | |||||||
\(194\) | −1038.64 | − | 1198.65i | −0.384380 | − | 0.443598i | ||||
\(195\) | 204.668 | − | 131.532i | 0.0751618 | − | 0.0483035i | ||||
\(196\) | −31.5372 | + | 20.2677i | −0.0114932 | + | 0.00738620i | ||||
\(197\) | 1272.89 | + | 1468.99i | 0.460354 | + | 0.531276i | 0.937703 | − | 0.347437i | \(-0.112948\pi\) |
−0.477350 | + | 0.878713i | \(0.658402\pi\) | |||||||
\(198\) | −1371.47 | + | 402.701i | −0.492254 | + | 0.144539i | ||||
\(199\) | −80.2556 | + | 558.190i | −0.0285888 | + | 0.198839i | −0.999110 | − | 0.0421755i | \(-0.986571\pi\) |
0.970521 | + | 0.241015i | \(0.0774802\pi\) | |||||||
\(200\) | 1815.13 | − | 2094.78i | 0.641747 | − | 0.740616i | ||||
\(201\) | 919.684 | − | 2013.83i | 0.322734 | − | 0.706689i | ||||
\(202\) | −2387.39 | − | 701.002i | −0.831567 | − | 0.244170i | ||||
\(203\) | −72.2594 | − | 158.226i | −0.0249833 | − | 0.0547059i | ||||
\(204\) | −5.01739 | − | 34.8967i | −0.00172200 | − | 0.0119768i | ||||
\(205\) | 203.719 | + | 130.922i | 0.0694066 | + | 0.0446049i | ||||
\(206\) | −2947.29 | −0.996832 | ||||||||
\(207\) | 617.237 | + | 777.525i | 0.207251 | + | 0.261071i | ||||
\(208\) | 4127.22 | 1.37582 | ||||||||
\(209\) | −2377.35 | − | 1527.83i | −0.786816 | − | 0.505656i | ||||
\(210\) | −4.37397 | − | 30.4216i | −0.00143730 | − | 0.00999662i | ||||
\(211\) | −1609.73 | − | 3524.81i | −0.525205 | − | 1.15004i | −0.967431 | − | 0.253134i | \(-0.918539\pi\) |
0.442227 | − | 0.896903i | \(-0.354189\pi\) | |||||||
\(212\) | 28.7899 | + | 8.45347i | 0.00932688 | + | 0.00273862i | ||||
\(213\) | 793.808 | − | 1738.20i | 0.255356 | − | 0.559152i | ||||
\(214\) | −1401.88 | + | 1617.85i | −0.447805 | + | 0.516795i | ||||
\(215\) | 29.9060 | − | 208.001i | 0.00948639 | − | 0.0659793i | ||||
\(216\) | 582.022 | − | 170.897i | 0.183341 | − | 0.0538337i | ||||
\(217\) | 332.922 | + | 384.212i | 0.104148 | + | 0.120194i | ||||
\(218\) | 4488.44 | − | 2884.54i | 1.39447 | − | 0.896174i | ||||
\(219\) | −530.940 | + | 341.214i | −0.163825 | + | 0.105284i | ||||
\(220\) | 5.20910 | + | 6.01163i | 0.00159635 | + | 0.00184229i | ||||
\(221\) | −6410.27 | + | 1882.23i | −1.95114 | + | 0.572906i | ||||
\(222\) | −8.44471 | + | 58.7343i | −0.00255303 | + | 0.0177567i | ||||
\(223\) | 2886.28 | − | 3330.95i | 0.866726 | − | 1.00025i | −0.133232 | − | 0.991085i | \(-0.542536\pi\) |
0.999958 | − | 0.00916980i | \(-0.00291888\pi\) | |||||||
\(224\) | 5.93454 | − | 12.9948i | 0.00177017 | − | 0.00387613i | ||||
\(225\) | 1065.39 | + | 312.828i | 0.315672 | + | 0.0926898i | ||||
\(226\) | 1011.81 | + | 2215.56i | 0.297809 | + | 0.652110i | ||||
\(227\) | 49.7035 | + | 345.696i | 0.0145328 | + | 0.101078i | 0.995797 | − | 0.0915904i | \(-0.0291950\pi\) |
−0.981264 | + | 0.192668i | \(0.938286\pi\) | |||||||
\(228\) | −14.3111 | − | 9.19718i | −0.00415691 | − | 0.00267148i | ||||
\(229\) | 381.110 | 0.109976 | 0.0549878 | − | 0.998487i | \(-0.482488\pi\) | ||||
0.0549878 | + | 0.998487i | \(0.482488\pi\) | |||||||
\(230\) | 181.897 | − | 356.834i | 0.0521474 | − | 0.102300i | ||||
\(231\) | 471.991 | 0.134436 | ||||||||
\(232\) | −1165.20 | − | 748.831i | −0.329739 | − | 0.211910i | ||||
\(233\) | −199.995 | − | 1390.99i | −0.0562322 | − | 0.391103i | −0.998428 | − | 0.0560418i | \(-0.982152\pi\) |
0.942196 | − | 0.335062i | \(-0.108757\pi\) | |||||||
\(234\) | 677.352 | + | 1483.20i | 0.189230 | + | 0.414357i | ||||
\(235\) | −425.560 | − | 124.956i | −0.118130 | − | 0.0346860i | ||||
\(236\) | −18.4759 | + | 40.4566i | −0.00509609 | + | 0.0111589i | ||||
\(237\) | 297.906 | − | 343.802i | 0.0816502 | − | 0.0942294i | ||||
\(238\) | −120.113 | + | 835.401i | −0.0327132 | + | 0.227525i | ||||
\(239\) | −6276.54 | + | 1842.96i | −1.69873 | + | 0.498791i | −0.980417 | − | 0.196932i | \(-0.936902\pi\) |
−0.718310 | + | 0.695723i | \(0.755084\pi\) | |||||||
\(240\) | −162.506 | − | 187.542i | −0.0437073 | − | 0.0504409i | ||||
\(241\) | −5453.87 | + | 3504.99i | −1.45774 | + | 0.936831i | −0.458907 | + | 0.888484i | \(0.651759\pi\) |
−0.998831 | + | 0.0483465i | \(0.984605\pi\) | |||||||
\(242\) | −4261.17 | + | 2738.49i | −1.13189 | + | 0.727425i | ||||
\(243\) | 159.131 | + | 183.647i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −40.4701 | + | 11.8831i | −0.0106182 | + | 0.00311777i | ||||
\(245\) | 60.7880 | − | 422.790i | 0.0158514 | − | 0.110249i | ||||
\(246\) | −1062.83 | + | 1226.57i | −0.275462 | + | 0.317900i | ||||
\(247\) | −1339.17 | + | 2932.37i | −0.344977 | + | 0.755394i | ||||
\(248\) | 3884.16 | + | 1140.49i | 0.994535 | + | 0.292022i | ||||
\(249\) | 300.691 | + | 658.423i | 0.0765283 | + | 0.167574i | ||||
\(250\) | −128.348 | − | 892.683i | −0.0324699 | − | 0.225833i | ||||
\(251\) | 4691.86 | + | 3015.28i | 1.17987 | + | 0.758257i | 0.975363 | − | 0.220607i | \(-0.0708039\pi\) |
0.204509 | + | 0.978865i | \(0.434440\pi\) | |||||||
\(252\) | 2.84128 | 0.000710253 | ||||||||
\(253\) | 5026.60 | + | 3544.84i | 1.24909 | + | 0.880879i | ||||
\(254\) | 6933.30 | 1.71273 | ||||||||
\(255\) | 337.929 | + | 217.174i | 0.0829880 | + | 0.0533332i | ||||
\(256\) | −24.4544 | − | 170.084i | −0.00597032 | − | 0.0415245i | ||||
\(257\) | 796.469 | + | 1744.02i | 0.193317 | + | 0.423304i | 0.981324 | − | 0.192361i | \(-0.0616145\pi\) |
−0.788008 | + | 0.615666i | \(0.788887\pi\) | |||||||
\(258\) | 1351.33 | + | 396.785i | 0.326085 | + | 0.0957472i | ||||
\(259\) | 8.13965 | − | 17.8233i | 0.00195279 | − | 0.00427602i | ||||
\(260\) | 5.94224 | − | 6.85771i | 0.00141739 | − | 0.00163576i | ||||
\(261\) | 78.9649 | − | 549.213i | 0.0187272 | − | 0.130251i | ||||
\(262\) | 761.607 | − | 223.628i | 0.179589 | − | 0.0527320i | ||||
\(263\) | 1149.84 | + | 1326.98i | 0.269589 | + | 0.311123i | 0.874361 | − | 0.485276i | \(-0.161281\pi\) |
−0.604771 | + | 0.796399i | \(0.706736\pi\) | |||||||
\(264\) | 3161.72 | − | 2031.92i | 0.737085 | − | 0.473696i | ||||
\(265\) | −287.605 | + | 184.833i | −0.0666696 | + | 0.0428459i | ||||
\(266\) | 266.689 | + | 307.776i | 0.0614728 | + | 0.0709434i | ||||
\(267\) | −4570.49 | + | 1342.02i | −1.04760 | + | 0.307604i | ||||
\(268\) | 11.7513 | − | 81.7321i | 0.00267845 | − | 0.0186290i | ||||
\(269\) | −3251.77 | + | 3752.74i | −0.737040 | + | 0.850590i | −0.993245 | − | 0.116033i | \(-0.962982\pi\) |
0.256205 | + | 0.966622i | \(0.417528\pi\) | |||||||
\(270\) | 40.7267 | − | 89.1790i | 0.00917980 | − | 0.0201010i | ||||
\(271\) | −3785.62 | − | 1111.56i | −0.848561 | − | 0.249160i | −0.171589 | − | 0.985169i | \(-0.554890\pi\) |
−0.676972 | + | 0.736009i | \(0.736708\pi\) | |||||||
\(272\) | 2830.85 | + | 6198.69i | 0.631049 | + | 1.38180i | ||||
\(273\) | −76.6252 | − | 532.940i | −0.0169874 | − | 0.118150i | ||||
\(274\) | −4205.50 | − | 2702.71i | −0.927240 | − | 0.595901i | ||||
\(275\) | 6879.67 | 1.50858 | ||||||||
\(276\) | 30.2590 | + | 21.3392i | 0.00659920 | + | 0.00465386i | ||||
\(277\) | −5135.37 | −1.11391 | −0.556957 | − | 0.830541i | \(-0.688031\pi\) | ||||
−0.556957 | + | 0.830541i | \(0.688031\pi\) | |||||||
\(278\) | −5331.71 | − | 3426.48i | −1.15027 | − | 0.739233i | ||||
\(279\) | 230.789 | + | 1605.17i | 0.0495231 | + | 0.344441i | ||||
\(280\) | 33.5706 | + | 73.5094i | 0.00716510 | + | 0.0156894i | ||||
\(281\) | −78.9165 | − | 23.1720i | −0.0167536 | − | 0.00491930i | 0.273345 | − | 0.961916i | \(-0.411870\pi\) |
−0.290099 | + | 0.956997i | \(0.593688\pi\) | |||||||
\(282\) | 1234.84 | − | 2703.93i | 0.260758 | − | 0.570980i | ||||
\(283\) | −5265.78 | + | 6077.03i | −1.10607 | + | 1.27647i | −0.148299 | + | 0.988943i | \(0.547380\pi\) |
−0.957772 | + | 0.287530i | \(0.907166\pi\) | |||||||
\(284\) | 10.1429 | − | 70.5455i | 0.00211927 | − | 0.0147398i | ||||
\(285\) | 185.977 | − | 54.6078i | 0.0386538 | − | 0.0113498i | ||||
\(286\) | 6615.77 | + | 7635.01i | 1.36783 | + | 1.57856i | ||||
\(287\) | 450.849 | − | 289.743i | 0.0927274 | − | 0.0595923i | ||||
\(288\) | 38.3357 | − | 24.6368i | 0.00784358 | − | 0.00504076i | ||||
\(289\) | −4006.38 | − | 4623.61i | −0.815466 | − | 0.941097i | ||||
\(290\) | −214.791 | + | 63.0683i | −0.0434930 | + | 0.0127707i | ||||
\(291\) | −237.752 | + | 1653.60i | −0.0478945 | + | 0.333113i | ||||
\(292\) | −15.4151 | + | 17.7900i | −0.00308939 | + | 0.00356534i | ||||
\(293\) | 3574.59 | − | 7827.25i | 0.712729 | − | 1.56066i | −0.111093 | − | 0.993810i | \(-0.535435\pi\) |
0.823822 | − | 0.566849i | \(-0.191838\pi\) | |||||||
\(294\) | 2746.76 | + | 806.520i | 0.544878 | + | 0.159991i | ||||
\(295\) | −210.512 | − | 460.957i | −0.0415474 | − | 0.0909761i | ||||
\(296\) | −22.2043 | − | 154.434i | −0.00436012 | − | 0.0303253i | ||||
\(297\) | 1266.58 | + | 813.981i | 0.247456 | + | 0.159030i | ||||
\(298\) | −6209.98 | −1.20716 | ||||||||
\(299\) | 3186.55 | − | 6251.18i | 0.616331 | − | 1.20908i | ||||
\(300\) | 41.4140 | 0.00797014 | ||||||||
\(301\) | −391.232 | − | 251.430i | −0.0749178 | − | 0.0481467i | ||||
\(302\) | −1175.32 | − | 8174.54i | −0.223948 | − | 1.55759i | ||||
\(303\) | 1088.74 | + | 2384.01i | 0.206424 | + | 0.452006i | ||||
\(304\) | 3154.96 | + | 926.381i | 0.595229 | + | 0.174775i | ||||
\(305\) | 199.639 | − | 437.149i | 0.0374797 | − | 0.0820691i | ||||
\(306\) | −1763.02 | + | 2034.64i | −0.329364 | + | 0.380106i | ||||
\(307\) | 795.115 | − | 5530.14i | 0.147816 | − | 1.02808i | −0.771968 | − | 0.635661i | \(-0.780728\pi\) |
0.919785 | − | 0.392424i | \(-0.128363\pi\) | |||||||
\(308\) | 16.8910 | − | 4.95964i | 0.00312485 | − | 0.000917538i | ||||
\(309\) | 2032.97 | + | 2346.18i | 0.374278 | + | 0.431940i | ||||
\(310\) | 550.404 | − | 353.723i | 0.100841 | − | 0.0648069i | ||||
\(311\) | −1603.24 | + | 1030.34i | −0.292320 | + | 0.187863i | −0.678579 | − | 0.734528i | \(-0.737404\pi\) |
0.386258 | + | 0.922391i | \(0.373767\pi\) | |||||||
\(312\) | −2807.59 | − | 3240.13i | −0.509450 | − | 0.587936i | ||||
\(313\) | −8410.04 | + | 2469.41i | −1.51873 | + | 0.445941i | −0.931581 | − | 0.363535i | \(-0.881570\pi\) |
−0.587154 | + | 0.809475i | \(0.699752\pi\) | |||||||
\(314\) | 694.435 | − | 4829.90i | 0.124807 | − | 0.868048i | ||||
\(315\) | −21.1999 | + | 24.4660i | −0.00379200 | + | 0.00437620i | ||||
\(316\) | 7.04843 | − | 15.4339i | 0.00125476 | − | 0.00274755i | ||||
\(317\) | 6935.87 | + | 2036.55i | 1.22889 | + | 0.360834i | 0.830830 | − | 0.556527i | \(-0.187866\pi\) |
0.398057 | + | 0.917360i | \(0.369684\pi\) | |||||||
\(318\) | −951.836 | − | 2084.23i | −0.167850 | − | 0.367540i | ||||
\(319\) | −489.252 | − | 3402.83i | −0.0858711 | − | 0.597247i | ||||
\(320\) | 541.228 | + | 347.826i | 0.0945487 | + | 0.0607627i | ||||
\(321\) | 2254.87 | 0.392070 | ||||||||
\(322\) | −551.114 | − | 694.231i | −0.0953801 | − | 0.120149i | ||||
\(323\) | −5322.68 | −0.916909 | ||||||||
\(324\) | 7.62452 | + | 4.89998i | 0.00130736 | + | 0.000840189i | ||||
\(325\) | −1116.88 | − | 7768.05i | −0.190625 | − | 1.32583i | ||||
\(326\) | 84.9622 | + | 186.041i | 0.0144344 | + | 0.0316070i | ||||
\(327\) | −5392.25 | − | 1583.31i | −0.911903 | − | 0.267759i | ||||
\(328\) | 1772.76 | − | 3881.79i | 0.298427 | − | 0.653464i | ||||
\(329\) | −642.787 | + | 741.815i | −0.107714 | + | 0.124309i | ||||
\(330\) | 86.4462 | − | 601.247i | 0.0144203 | − | 0.100296i | ||||
\(331\) | 6981.76 | − | 2050.03i | 1.15937 | − | 0.340422i | 0.355183 | − | 0.934797i | \(-0.384418\pi\) |
0.804188 | + | 0.594375i | \(0.202600\pi\) | |||||||
\(332\) | 17.6794 | + | 20.4031i | 0.00292254 | + | 0.00337279i | ||||
\(333\) | 52.5801 | − | 33.7912i | 0.00865277 | − | 0.00556080i | ||||
\(334\) | −1825.46 | + | 1173.15i | −0.299056 | + | 0.192191i | ||||
\(335\) | 616.107 | + | 711.025i | 0.100482 | + | 0.115963i | ||||
\(336\) | −526.942 | + | 154.724i | −0.0855566 | + | 0.0251217i | ||||
\(337\) | −1553.98 | + | 10808.2i | −0.251189 | + | 1.74706i | 0.339907 | + | 0.940459i | \(0.389604\pi\) |
−0.591096 | + | 0.806601i | \(0.701305\pi\) | |||||||
\(338\) | 3449.19 | − | 3980.58i | 0.555063 | − | 0.640576i | ||||
\(339\) | 1065.76 | − | 2333.69i | 0.170750 | − | 0.373890i | ||||
\(340\) | 14.3754 | + | 4.22100i | 0.00229299 | + | 0.000673282i | ||||
\(341\) | 4173.93 | + | 9139.64i | 0.662848 | + | 1.45143i | ||||
\(342\) | 184.875 | + | 1285.83i | 0.0292307 | + | 0.203304i | ||||
\(343\) | −1609.36 | − | 1034.27i | −0.253345 | − | 0.162815i | ||||
\(344\) | −3703.14 | −0.580407 | ||||||||
\(345\) | −409.524 | + | 101.338i | −0.0639074 | + | 0.0158140i | ||||
\(346\) | −4794.58 | −0.744966 | ||||||||
\(347\) | 4261.84 | + | 2738.92i | 0.659330 | + | 0.423726i | 0.827065 | − | 0.562106i | \(-0.190009\pi\) |
−0.167735 | + | 0.985832i | \(0.553645\pi\) | |||||||
\(348\) | −2.94519 | − | 20.4842i | −0.000453674 | − | 0.00315537i | ||||
\(349\) | −4152.28 | − | 9092.21i | −0.636866 | − | 1.39454i | −0.902594 | − | 0.430494i | \(-0.858339\pi\) |
0.265728 | − | 0.964048i | \(-0.414388\pi\) | |||||||
\(350\) | −951.262 | − | 279.316i | −0.145277 | − | 0.0426573i | ||||
\(351\) | 713.469 | − | 1562.28i | 0.108496 | − | 0.237573i | ||||
\(352\) | 184.895 | − | 213.380i | 0.0279969 | − | 0.0323102i | ||||
\(353\) | 189.245 | − | 1316.22i | 0.0285339 | − | 0.198458i | −0.970568 | − | 0.240827i | \(-0.922581\pi\) |
0.999102 | + | 0.0423691i | \(0.0134905\pi\) | |||||||
\(354\) | 3258.72 | − | 956.846i | 0.489263 | − | 0.143660i | ||||
\(355\) | 531.781 | + | 613.708i | 0.0795043 | + | 0.0917528i | ||||
\(356\) | −149.461 | + | 96.0526i | −0.0222511 | + | 0.0142999i | ||||
\(357\) | 747.868 | − | 480.626i | 0.110872 | − | 0.0712533i | ||||
\(358\) | 7997.10 | + | 9229.14i | 1.18061 | + | 1.36250i | ||||
\(359\) | 4811.66 | − | 1412.83i | 0.707381 | − | 0.207706i | 0.0917975 | − | 0.995778i | \(-0.470739\pi\) |
0.615583 | + | 0.788072i | \(0.288921\pi\) | |||||||
\(360\) | −36.6858 | + | 255.156i | −0.00537087 | + | 0.0373552i | ||||
\(361\) | 2809.80 | − | 3242.68i | 0.409652 | − | 0.472763i | ||||
\(362\) | 4152.15 | − | 9091.94i | 0.602851 | − | 1.32006i | ||||
\(363\) | 5119.23 | + | 1503.14i | 0.740192 | + | 0.217340i | ||||
\(364\) | −8.34224 | − | 18.2670i | −0.00120124 | − | 0.00263035i | ||||
\(365\) | −38.1698 | − | 265.476i | −0.00547369 | − | 0.0380703i | ||||
\(366\) | 2709.58 | + | 1741.34i | 0.386972 | + | 0.248692i | ||||
\(367\) | −1893.01 | −0.269248 | −0.134624 | − | 0.990897i | \(-0.542983\pi\) | ||||
−0.134624 | + | 0.990897i | \(0.542983\pi\) | |||||||
\(368\) | −6773.85 | − | 2309.77i | −0.959542 | − | 0.327187i | ||||
\(369\) | 1709.52 | 0.241177 | ||||||||
\(370\) | −21.2135 | − | 13.6331i | −0.00298064 | − | 0.00191554i | ||||
\(371\) | 107.676 | + | 748.903i | 0.0150681 | + | 0.104801i | ||||
\(372\) | 25.1261 | + | 55.0185i | 0.00350196 | + | 0.00766822i | ||||
\(373\) | 8807.18 | + | 2586.02i | 1.22257 | + | 0.358979i | 0.828441 | − | 0.560076i | \(-0.189228\pi\) |
0.394129 | + | 0.919055i | \(0.371046\pi\) | |||||||
\(374\) | −6929.32 | + | 15173.1i | −0.958039 | + | 2.09781i | ||||
\(375\) | −622.084 | + | 717.924i | −0.0856648 | + | 0.0988625i | ||||
\(376\) | −1112.32 | + | 7736.38i | −0.152563 | + | 1.06110i | ||||
\(377\) | −3762.81 | + | 1104.86i | −0.514044 | + | 0.150937i | ||||
\(378\) | −142.084 | − | 163.974i | −0.0193334 | − | 0.0223119i | ||||
\(379\) | 8889.55 | − | 5712.97i | 1.20482 | − | 0.774289i | 0.225034 | − | 0.974351i | \(-0.427751\pi\) |
0.979783 | + | 0.200062i | \(0.0641144\pi\) | |||||||
\(380\) | 6.08168 | − | 3.90846i | 0.000821009 | − | 0.000527631i | ||||
\(381\) | −4782.44 | − | 5519.22i | −0.643075 | − | 0.742148i | ||||
\(382\) | −722.424 | + | 212.123i | −0.0967603 | + | 0.0284114i | ||||
\(383\) | −1359.22 | + | 9453.61i | −0.181340 | + | 1.26125i | 0.672260 | + | 0.740315i | \(0.265324\pi\) |
−0.853600 | + | 0.520930i | \(0.825585\pi\) | |||||||
\(384\) | −2903.24 | + | 3350.52i | −0.385821 | + | 0.445262i | ||||
\(385\) | −83.3234 | + | 182.453i | −0.0110300 | + | 0.0241523i | ||||
\(386\) | −12127.8 | − | 3561.05i | −1.59920 | − | 0.469567i | ||||
\(387\) | −616.256 | − | 1349.41i | −0.0809459 | − | 0.177247i | ||||
\(388\) | 8.86756 | + | 61.6752i | 0.00116026 | + | 0.00806980i | ||||
\(389\) | 1753.74 | + | 1127.06i | 0.228582 | + | 0.146901i | 0.649919 | − | 0.760003i | \(-0.274803\pi\) |
−0.421337 | + | 0.906904i | \(0.638439\pi\) | |||||||
\(390\) | −692.920 | −0.0899676 | ||||||||
\(391\) | 11574.3 | + | 498.232i | 1.49703 | + | 0.0644416i | ||||
\(392\) | −7527.14 | −0.969842 | ||||||||
\(393\) | −703.358 | − | 452.021i | −0.0902791 | − | 0.0580189i | ||||
\(394\) | −787.868 | − | 5479.74i | −0.100742 | − | 0.700673i | ||||
\(395\) | 80.3089 | + | 175.852i | 0.0102298 | + | 0.0224002i | ||||
\(396\) | 53.8799 | + | 15.8206i | 0.00683728 | + | 0.00200761i | ||||
\(397\) | 257.681 | − | 564.242i | 0.0325759 | − | 0.0713312i | −0.892645 | − | 0.450761i | \(-0.851153\pi\) |
0.925220 | + | 0.379430i | \(0.123880\pi\) | |||||||
\(398\) | 1051.80 | − | 1213.85i | 0.132468 | − | 0.152876i | ||||
\(399\) | 61.0474 | − | 424.594i | 0.00765962 | − | 0.0532739i | ||||
\(400\) | −7680.62 | + | 2255.23i | −0.960077 | + | 0.281904i | ||||
\(401\) | −2362.95 | − | 2726.99i | −0.294265 | − | 0.339600i | 0.589295 | − | 0.807918i | \(-0.299406\pi\) |
−0.883560 | + | 0.468318i | \(0.844860\pi\) | |||||||
\(402\) | −5304.50 | + | 3409.00i | −0.658121 | + | 0.422948i | ||||
\(403\) | 9642.23 | − | 6196.69i | 1.19185 | − | 0.765953i | ||||
\(404\) | 64.0134 | + | 73.8754i | 0.00788313 | + | 0.00909762i | ||||
\(405\) | −99.0829 | + | 29.0934i | −0.0121567 | + | 0.00356953i | ||||
\(406\) | −70.5056 | + | 490.377i | −0.00861856 | + | 0.0599434i | ||||
\(407\) | 253.596 | − | 292.666i | 0.0308853 | − | 0.0356435i | ||||
\(408\) | 2940.65 | − | 6439.12i | 0.356823 | − | 0.781333i | ||||
\(409\) | −8141.07 | − | 2390.43i | −0.984230 | − | 0.288996i | −0.250261 | − | 0.968179i | \(-0.580516\pi\) |
−0.733969 | + | 0.679183i | \(0.762334\pi\) | |||||||
\(410\) | −286.515 | − | 627.381i | −0.0345122 | − | 0.0755711i | ||||
\(411\) | 749.379 | + | 5212.05i | 0.0899371 | + | 0.625526i | ||||
\(412\) | 97.4068 | + | 62.5995i | 0.0116478 | + | 0.00748558i | ||||
\(413\) | −1121.49 | −0.133619 | ||||||||
\(414\) | −281.655 | − | 2813.39i | −0.0334362 | − | 0.333987i | ||||
\(415\) | −307.602 | −0.0363846 | ||||||||
\(416\) | −270.950 | − | 174.129i | −0.0319337 | − | 0.0205226i | ||||
\(417\) | 950.058 | + | 6607.80i | 0.111570 | + | 0.775984i | ||||
\(418\) | 3343.56 | + | 7321.38i | 0.391241 | + | 0.856699i | ||||
\(419\) | −9820.50 | − | 2883.56i | −1.14502 | − | 0.336208i | −0.346425 | − | 0.938078i | \(-0.612604\pi\) |
−0.798594 | + | 0.601870i | \(0.794423\pi\) | |||||||
\(420\) | −0.501588 | + | 1.09832i | −5.82738e−5 | + | 0.000127602i | ||||
\(421\) | −6759.55 | + | 7800.93i | −0.782518 | + | 0.903074i | −0.997289 | − | 0.0735904i | \(-0.976554\pi\) |
0.214770 | + | 0.976665i | \(0.431100\pi\) | |||||||
\(422\) | −1570.66 | + | 10924.2i | −0.181181 | + | 1.26014i | ||||
\(423\) | −3004.22 | + | 882.117i | −0.345319 | + | 0.101395i | ||||
\(424\) | 3945.31 | + | 4553.13i | 0.451889 | + | 0.521508i | ||||
\(425\) | 10900.8 | − | 7005.52i | 1.24416 | − | 0.799571i | ||||
\(426\) | −4578.48 | + | 2942.41i | −0.520723 | + | 0.334649i | ||||
\(427\) | −696.486 | − | 803.787i | −0.0789351 | − | 0.0910960i | ||||
\(428\) | 80.6941 | − | 23.6939i | 0.00911331 | − | 0.00267591i | ||||
\(429\) | 1514.40 | − | 10532.9i | 0.170434 | − | 1.18539i | ||||
\(430\) | −391.939 | + | 452.322i | −0.0439557 | + | 0.0507276i | ||||
\(431\) | −4024.87 | + | 8813.23i | −0.449817 | + | 0.984962i | 0.539875 | + | 0.841746i | \(0.318472\pi\) |
−0.989691 | + | 0.143216i | \(0.954256\pi\) | |||||||
\(432\) | −1680.87 | − | 493.548i | −0.187201 | − | 0.0549672i | ||||
\(433\) | −2626.78 | − | 5751.84i | −0.291535 | − | 0.638374i | 0.706025 | − | 0.708187i | \(-0.250487\pi\) |
−0.997560 | + | 0.0698137i | \(0.977760\pi\) | |||||||
\(434\) | −206.065 | − | 1433.21i | −0.0227913 | − | 0.158517i | ||||
\(435\) | 198.363 | + | 127.480i | 0.0218639 | + | 0.0140511i | ||||
\(436\) | −209.608 | −0.0230238 | ||||||||
\(437\) | 3839.01 | − | 4063.34i | 0.420239 | − | 0.444796i | ||||
\(438\) | 1797.54 | 0.196096 | ||||||||
\(439\) | −469.384 | − | 301.655i | −0.0510307 | − | 0.0327954i | 0.514877 | − | 0.857264i | \(-0.327838\pi\) |
−0.565907 | + | 0.824469i | \(0.691474\pi\) | |||||||
\(440\) | 227.299 | + | 1580.90i | 0.0246274 | + | 0.171287i | ||||
\(441\) | −1252.62 | − | 2742.86i | −0.135258 | − | 0.296174i | ||||
\(442\) | 18257.3 | + | 5360.84i | 1.96474 | + | 0.576899i | ||||
\(443\) | −3585.40 | + | 7850.94i | −0.384532 | + | 0.842008i | 0.614075 | + | 0.789248i | \(0.289529\pi\) |
−0.998607 | + | 0.0527602i | \(0.983198\pi\) | |||||||
\(444\) | 1.52659 | − | 1.76178i | 0.000163173 | − | 0.000188312i | ||||
\(445\) | 288.086 | − | 2003.68i | 0.0306889 | − | 0.213446i | ||||
\(446\) | −12044.6 | + | 3536.62i | −1.27876 | + | 0.375479i | ||||
\(447\) | 4283.50 | + | 4943.43i | 0.453250 | + | 0.523079i | ||||
\(448\) | 1197.79 | − | 769.771i | 0.126317 | − | 0.0811792i | ||||
\(449\) | 9667.47 | − | 6212.91i | 1.01612 | − | 0.653018i | 0.0771473 | − | 0.997020i | \(-0.475419\pi\) |
0.938969 | + | 0.344001i | \(0.111782\pi\) | |||||||
\(450\) | −2070.99 | − | 2390.05i | −0.216950 | − | 0.250374i | ||||
\(451\) | 10162.9 | − | 2984.09i | 1.06109 | − | 0.311564i | ||||
\(452\) | 13.6178 | − | 94.7139i | 0.00141710 | − | 0.00985613i | ||||
\(453\) | −5696.60 | + | 6574.23i | −0.590838 | + | 0.681863i | ||||
\(454\) | 413.219 | − | 904.823i | 0.0427166 | − | 0.0935363i | ||||
\(455\) | 219.540 | + | 64.4628i | 0.0226202 | + | 0.00664189i | ||||
\(456\) | −1418.93 | − | 3107.03i | −0.145718 | − | 0.319079i | ||||
\(457\) | −135.405 | − | 941.766i | −0.0138600 | − | 0.0963981i | 0.981717 | − | 0.190345i | \(-0.0609607\pi\) |
−0.995577 | + | 0.0939470i | \(0.970052\pi\) | |||||||
\(458\) | −913.141 | − | 586.840i | −0.0931622 | − | 0.0598717i | ||||
\(459\) | 2835.76 | 0.288370 | ||||||||
\(460\) | −13.5906 | + | 7.92978i | −0.00137754 | + | 0.000803756i | ||||
\(461\) | −2537.09 | −0.256321 | −0.128160 | − | 0.991753i | \(-0.540907\pi\) | ||||
−0.128160 | + | 0.991753i | \(0.540907\pi\) | |||||||
\(462\) | −1130.89 | − | 726.782i | −0.113883 | − | 0.0731882i | ||||
\(463\) | 682.997 | + | 4750.35i | 0.0685563 | + | 0.476819i | 0.994959 | + | 0.100285i | \(0.0319753\pi\) |
−0.926403 | + | 0.376535i | \(0.877116\pi\) | |||||||
\(464\) | 1661.70 | + | 3638.61i | 0.166255 | + | 0.364048i | ||||
\(465\) | −661.236 | − | 194.156i | −0.0659443 | − | 0.0193630i | ||||
\(466\) | −1662.69 | + | 3640.79i | −0.165285 | + | 0.361923i | ||||
\(467\) | 863.562 | − | 996.603i | 0.0855693 | − | 0.0987523i | −0.711350 | − | 0.702838i | \(-0.751916\pi\) |
0.796920 | + | 0.604085i | \(0.206461\pi\) | |||||||
\(468\) | 9.11637 | − | 63.4058i | 0.000900437 | − | 0.00626268i | ||||
\(469\) | 1997.78 | − | 586.602i | 0.196693 | − | 0.0577543i | ||||
\(470\) | 827.235 | + | 954.680i | 0.0811861 | + | 0.0936938i | ||||
\(471\) | −4323.83 | + | 2778.76i | −0.422997 | + | 0.271844i | ||||
\(472\) | −7512.48 | + | 4827.98i | −0.732606 | + | 0.470817i | ||||
\(473\) | −6019.04 | − | 6946.34i | −0.585107 | − | 0.675249i | ||||
\(474\) | −1243.18 | + | 365.030i | −0.120467 | + | 0.0353722i | ||||
\(475\) | 889.816 | − | 6188.81i | 0.0859528 | − | 0.597815i | ||||
\(476\) | 21.7133 | − | 25.0585i | 0.00209082 | − | 0.00241293i | ||||
\(477\) | −1002.59 | + | 2195.36i | −0.0962376 | + | 0.210731i | ||||
\(478\) | 17876.5 | + | 5249.00i | 1.71057 | + | 0.502267i | ||||
\(479\) | 5649.25 | + | 12370.1i | 0.538875 | + | 1.17997i | 0.961787 | + | 0.273800i | \(0.0882807\pi\) |
−0.422912 | + | 0.906171i | \(0.638992\pi\) | |||||||
\(480\) | 2.75599 | + | 19.1683i | 0.000262069 | + | 0.00182273i | ||||
\(481\) | −371.628 | − | 238.831i | −0.0352282 | − | 0.0226398i | ||||
\(482\) | 18464.6 | 1.74489 | ||||||||
\(483\) | −172.494 | + | 917.578i | −0.0162500 | + | 0.0864415i | ||||
\(484\) | 198.995 | 0.0186885 | ||||||||
\(485\) | −597.244 | − | 383.826i | −0.0559164 | − | 0.0359353i | ||||
\(486\) | −98.4958 | − | 685.053i | −0.00919312 | − | 0.0639396i | ||||
\(487\) | 1644.02 | + | 3599.91i | 0.152973 | + | 0.334964i | 0.970567 | − | 0.240831i | \(-0.0774199\pi\) |
−0.817594 | + | 0.575795i | \(0.804693\pi\) | |||||||
\(488\) | −8125.83 | − | 2385.96i | −0.753768 | − | 0.221326i | ||||
\(489\) | 89.4923 | − | 195.961i | 0.00827604 | − | 0.0181220i | ||||
\(490\) | −796.669 | + | 919.405i | −0.0734486 | + | 0.0847642i | ||||
\(491\) | 1435.91 | − | 9986.96i | 0.131979 | − | 0.917933i | −0.810992 | − | 0.585057i | \(-0.801072\pi\) |
0.942971 | − | 0.332876i | \(-0.108019\pi\) | |||||||
\(492\) | 61.1782 | − | 17.9635i | 0.00560594 | − | 0.00164605i | ||||
\(493\) | −4240.29 | − | 4893.56i | −0.387370 | − | 0.447048i | ||||
\(494\) | 7723.98 | − | 4963.90i | 0.703478 | − | 0.452098i | ||||
\(495\) | −538.249 | + | 345.911i | −0.0488737 | + | 0.0314092i | ||||
\(496\) | −7655.95 | − | 8835.44i | −0.693069 | − | 0.799844i | ||||
\(497\) | 1724.35 | − | 506.315i | 0.155629 | − | 0.0456968i | ||||
\(498\) | 293.393 | − | 2040.60i | 0.0264001 | − | 0.183617i | ||||
\(499\) | 1781.94 | − | 2056.46i | 0.159861 | − | 0.184489i | −0.670169 | − | 0.742209i | \(-0.733778\pi\) |
0.830029 | + | 0.557720i | \(0.188324\pi\) | |||||||
\(500\) | −14.7184 | + | 32.2289i | −0.00131646 | + | 0.00288264i | ||||
\(501\) | 2193.04 | + | 643.935i | 0.195565 | + | 0.0574229i | ||||
\(502\) | −6598.75 | − | 14449.2i | −0.586687 | − | 1.28466i | ||||
\(503\) | 1049.37 | + | 7298.52i | 0.0930200 | + | 0.646968i | 0.981980 | + | 0.188984i | \(0.0605194\pi\) |
−0.888960 | + | 0.457984i | \(0.848572\pi\) | |||||||
\(504\) | 479.926 | + | 308.430i | 0.0424159 | + | 0.0272590i | ||||
\(505\) | −1113.76 | −0.0981423 | ||||||||
\(506\) | −6585.35 | − | 16233.5i | −0.578567 | − | 1.42622i | ||||
\(507\) | −5547.89 | −0.485978 | ||||||||
\(508\) | −229.143 | − | 147.261i | −0.0200129 | − | 0.0128615i | ||||
\(509\) | −1235.76 | − | 8594.87i | −0.107611 | − | 0.748450i | −0.970158 | − | 0.242473i | \(-0.922041\pi\) |
0.862547 | − | 0.505976i | \(-0.168868\pi\) | |||||||
\(510\) | −475.272 | − | 1040.70i | −0.0412655 | − | 0.0903588i | ||||
\(511\) | −569.522 | − | 167.227i | −0.0493036 | − | 0.0144769i | ||||
\(512\) | 4707.87 | − | 10308.8i | 0.406368 | − | 0.889821i | ||||
\(513\) | 896.060 | − | 1034.11i | 0.0771189 | − | 0.0890000i | ||||
\(514\) | 777.138 | − | 5405.11i | 0.0666889 | − | 0.463831i | ||||
\(515\) | −1265.83 | + | 371.681i | −0.108309 | + | 0.0318024i | ||||
\(516\) | −36.2332 | − | 41.8154i | −0.00309124 | − | 0.00356748i | ||||
\(517\) | −16319.8 | + | 10488.1i | −1.38829 | + | 0.892198i | ||||
\(518\) | −46.9474 | + | 30.1713i | −0.00398214 | + | 0.00255917i | ||||
\(519\) | 3307.19 | + | 3816.71i | 0.279710 | + | 0.322803i | ||||
\(520\) | 1748.14 | − | 513.301i | 0.147425 | − | 0.0432879i | ||||
\(521\) | 444.308 | − | 3090.23i | 0.0373617 | − | 0.259857i | −0.962576 | − | 0.271012i | \(-0.912642\pi\) |
0.999938 | + | 0.0111551i | \(0.00355086\pi\) | |||||||
\(522\) | −1034.89 | + | 1194.33i | −0.0867737 | + | 0.100142i | ||||
\(523\) | −3812.64 | + | 8348.53i | −0.318767 | + | 0.698003i | −0.999401 | − | 0.0346213i | \(-0.988977\pi\) |
0.680633 | + | 0.732624i | \(0.261705\pi\) | |||||||
\(524\) | −29.9206 | − | 8.78548i | −0.00249444 | − | 0.000732434i | ||||
\(525\) | 433.811 | + | 949.914i | 0.0360630 | + | 0.0789669i | ||||
\(526\) | −711.703 | − | 4950.00i | −0.0589957 | − | 0.410324i | ||||
\(527\) | 15920.4 | + | 10231.4i | 1.31595 | + | 0.845708i | ||||
\(528\) | −10854.0 | −0.894624 | ||||||||
\(529\) | −8728.39 | + | 8476.50i | −0.717382 | + | 0.696680i | ||||
\(530\) | 973.712 | 0.0798026 | ||||||||
\(531\) | −3009.48 | − | 1934.08i | −0.245952 | − | 0.158064i | ||||
\(532\) | −2.27691 | − | 15.8363i | −0.000185558 | − | 0.00129058i | ||||
\(533\) | −5019.31 | − | 10990.8i | −0.407899 | − | 0.893175i | ||||
\(534\) | 13017.4 | + | 3822.25i | 1.05490 | + | 0.309747i | ||||
\(535\) | −398.065 | + | 871.640i | −0.0321679 | + | 0.0704379i | ||||
\(536\) | 10857.2 | − | 12529.9i | 0.874925 | − | 1.00972i | ||||
\(537\) | 1830.60 | − | 12732.1i | 0.147107 | − | 1.02315i | ||||
\(538\) | 13569.8 | − | 3984.45i | 1.08743 | − | 0.319297i | ||||
\(539\) | −12234.5 | − | 14119.4i | −0.977695 | − | 1.12832i | ||||
\(540\) | −3.24013 | + | 2.08231i | −0.000258210 | + | 0.000165941i | ||||
\(541\) | 6379.70 | − | 4099.98i | 0.506996 | − | 0.325826i | −0.262013 | − | 0.965064i | \(-0.584386\pi\) |
0.769009 | + | 0.639238i | \(0.220750\pi\) | |||||||
\(542\) | 7358.77 | + | 8492.48i | 0.583185 | + | 0.673032i | ||||
\(543\) | −10101.7 | + | 2966.12i | −0.798350 | + | 0.234417i | ||||
\(544\) | 75.6815 | − | 526.376i | 0.00596474 | − | 0.0414857i | ||||
\(545\) | 1563.97 | − | 1804.92i | 0.122923 | − | 0.141861i | ||||
\(546\) | −637.037 | + | 1394.92i | −0.0499316 | + | 0.109335i | ||||
\(547\) | −1959.16 | − | 575.262i | −0.153140 | − | 0.0449660i | 0.204264 | − | 0.978916i | \(-0.434520\pi\) |
−0.357404 | + | 0.933950i | \(0.616338\pi\) | |||||||
\(548\) | 81.5855 | + | 178.647i | 0.00635978 | + | 0.0139260i | ||||
\(549\) | −482.819 | − | 3358.08i | −0.0375341 | − | 0.261055i | ||||
\(550\) | −16483.7 | − | 10593.5i | −1.27794 | − | 0.821284i | ||||
\(551\) | −3124.39 | −0.241567 | ||||||||
\(552\) | 2794.68 | + | 6889.15i | 0.215488 | + | 0.531198i | ||||
\(553\) | 427.840 | 0.0328998 | ||||||||
\(554\) | 12304.4 | + | 7907.54i | 0.943615 | + | 0.606425i | ||||
\(555\) | 3.78003 | + | 26.2907i | 0.000289105 | + | 0.00201077i | ||||
\(556\) | 103.434 | + | 226.488i | 0.00788950 | + | 0.0172756i | ||||
\(557\) | −19451.8 | − | 5711.56i | −1.47971 | − | 0.434482i | −0.560469 | − | 0.828175i | \(-0.689379\pi\) |
−0.919242 | + | 0.393693i | \(0.871197\pi\) | |||||||
\(558\) | 1918.70 | − | 4201.37i | 0.145565 | − | 0.318742i | ||||
\(559\) | −6866.17 | + | 7923.98i | −0.519513 | + | 0.599550i | ||||
\(560\) | 33.2140 | − | 231.009i | 0.00250634 | − | 0.0174320i | ||||
\(561\) | 16858.2 | − | 4950.01i | 1.26872 | − | 0.372530i | ||||
\(562\) | 153.404 | + | 177.037i | 0.0115141 | + | 0.0132880i | ||||
\(563\) | −11722.8 | + | 7533.80i | −0.877545 | + | 0.563964i | −0.900052 | − | 0.435783i | \(-0.856472\pi\) |
0.0225068 | + | 0.999747i | \(0.492835\pi\) | |||||||
\(564\) | −98.2416 | + | 63.1360i | −0.00733460 | + | 0.00471366i | ||||
\(565\) | 713.966 | + | 823.960i | 0.0531624 | + | 0.0613527i | ||||
\(566\) | 21974.4 | − | 6452.25i | 1.63189 | − | 0.479167i | ||||
\(567\) | −32.5242 | + | 226.211i | −0.00240897 | + | 0.0167548i | ||||
\(568\) | 9371.20 | − | 10814.9i | 0.692265 | − | 0.798917i | ||||
\(569\) | −9282.18 | + | 20325.1i | −0.683883 | + | 1.49749i | 0.174593 | + | 0.984641i | \(0.444139\pi\) |
−0.858476 | + | 0.512854i | \(0.828588\pi\) | |||||||
\(570\) | −529.688 | − | 155.530i | −0.0389231 | − | 0.0114289i | ||||
\(571\) | −5912.40 | − | 12946.3i | −0.433321 | − | 0.948840i | −0.992776 | − | 0.119980i | \(-0.961717\pi\) |
0.559456 | − | 0.828860i | \(-0.311010\pi\) | |||||||
\(572\) | −56.4835 | − | 392.851i | −0.00412883 | − | 0.0287167i | ||||
\(573\) | 667.172 | + | 428.765i | 0.0486414 | + | 0.0312599i | ||||
\(574\) | −1526.39 | −0.110993 | ||||||||
\(575\) | −2514.24 | + | 13374.5i | −0.182350 | + | 0.970006i | ||||
\(576\) | 4541.76 | 0.328542 | ||||||||
\(577\) | −1248.30 | − | 802.237i | −0.0900652 | − | 0.0578814i | 0.494833 | − | 0.868988i | \(-0.335229\pi\) |
−0.584898 | + | 0.811107i | \(0.698866\pi\) | |||||||
\(578\) | 2479.79 | + | 17247.3i | 0.178453 | + | 1.24117i | ||||
\(579\) | 5530.75 | + | 12110.6i | 0.396978 | + | 0.869260i | ||||
\(580\) | 8.43831 | + | 2.47771i | 0.000604106 | + | 0.000177382i | ||||
\(581\) | −282.795 | + | 619.234i | −0.0201933 | + | 0.0442171i | ||||
\(582\) | 3115.91 | − | 3595.95i | 0.221922 | − | 0.256112i | ||||
\(583\) | −2128.09 | + | 14801.2i | −0.151177 | + | 1.05146i | ||||
\(584\) | −4534.96 | + | 1331.58i | −0.321332 | + | 0.0943515i | ||||
\(585\) | 477.961 | + | 551.596i | 0.0337799 | + | 0.0389841i | ||||
\(586\) | −20617.3 | + | 13249.9i | −1.45340 | + | 0.934044i | ||||
\(587\) | 12481.3 | − | 8021.25i | 0.877613 | − | 0.564007i | −0.0224598 | − | 0.999748i | \(-0.507150\pi\) |
0.900072 | + | 0.435740i | \(0.143513\pi\) | |||||||
\(588\) | −73.6490 | − | 84.9954i | −0.00516536 | − | 0.00596114i | ||||
\(589\) | 8761.69 | − | 2572.66i | 0.612935 | − | 0.179974i | ||||
\(590\) | −205.403 | + | 1428.61i | −0.0143327 | + | 0.0996861i | ||||
\(591\) | −3818.67 | + | 4406.98i | −0.265785 | + | 0.306733i | ||||
\(592\) | −187.181 | + | 409.870i | −0.0129951 | + | 0.0284553i | ||||
\(593\) | 7111.95 | + | 2088.26i | 0.492500 | + | 0.144611i | 0.518546 | − | 0.855050i | \(-0.326473\pi\) |
−0.0260459 | + | 0.999661i | \(0.508292\pi\) | |||||||
\(594\) | −1781.35 | − | 3900.61i | −0.123046 | − | 0.269434i | ||||
\(595\) | 53.7649 | + | 373.943i | 0.00370445 | + | 0.0257650i | ||||
\(596\) | 205.237 | + | 131.898i | 0.0141055 | + | 0.00906502i | ||||
\(597\) | −1691.79 | −0.115980 | ||||||||
\(598\) | −17260.7 | + | 10071.1i | −1.18034 | + | 0.688695i | ||||
\(599\) | −16009.7 | −1.09205 | −0.546027 | − | 0.837768i | \(-0.683860\pi\) | ||||
−0.546027 | + | 0.837768i | \(0.683860\pi\) | |||||||
\(600\) | 6995.33 | + | 4495.62i | 0.475972 | + | 0.305888i | ||||
\(601\) | 2437.23 | + | 16951.3i | 0.165419 | + | 1.15052i | 0.888206 | + | 0.459445i | \(0.151952\pi\) |
−0.722787 | + | 0.691071i | \(0.757139\pi\) | |||||||
\(602\) | 550.238 | + | 1204.85i | 0.0372526 | + | 0.0815717i | ||||
\(603\) | 6372.64 | + | 1871.18i | 0.430372 | + | 0.126369i | ||||
\(604\) | −134.781 | + | 295.129i | −0.00907973 | + | 0.0198818i | ||||
\(605\) | −1484.78 | + | 1713.53i | −0.0997767 | + | 0.115148i | ||||
\(606\) | 1062.32 | − | 7388.57i | 0.0712106 | − | 0.495281i | ||||
\(607\) | 17264.0 | − | 5069.18i | 1.15441 | − | 0.338965i | 0.352151 | − | 0.935943i | \(-0.385450\pi\) |
0.802257 | + | 0.596978i | \(0.203632\pi\) | |||||||
\(608\) | −168.038 | − | 193.926i | −0.0112086 | − | 0.0129354i | ||||
\(609\) | 438.996 | − | 282.126i | 0.0292102 | − | 0.0187723i | ||||
\(610\) | −1151.47 | + | 740.003i | −0.0764288 | + | 0.0491178i | ||||
\(611\) | 14491.9 | + | 16724.5i | 0.959539 | + | 1.10737i | ||||
\(612\) | 101.482 | − | 29.7979i | 0.00670291 | − | 0.00196815i | ||||
\(613\) | −1865.58 | + | 12975.4i | −0.122920 | + | 0.854930i | 0.831300 | + | 0.555825i | \(0.187597\pi\) |
−0.954220 | + | 0.299106i | \(0.903312\pi\) | |||||||
\(614\) | −10420.5 | + | 12025.9i | −0.684915 | + | 0.790435i | ||||
\(615\) | −301.792 | + | 660.833i | −0.0197877 | + | 0.0433290i | ||||
\(616\) | 3391.47 | + | 995.827i | 0.221829 | + | 0.0651347i | ||||
\(617\) | −51.7866 | − | 113.397i | −0.00337901 | − | 0.00739901i | 0.907935 | − | 0.419111i | \(-0.137658\pi\) |
−0.911314 | + | 0.411712i | \(0.864931\pi\) | |||||||
\(618\) | −1258.33 | − | 8751.87i | −0.0819052 | − | 0.569663i | ||||
\(619\) | −17559.9 | − | 11285.0i | −1.14021 | − | 0.732769i | −0.172544 | − | 0.985002i | \(-0.555199\pi\) |
−0.967666 | + | 0.252233i | \(0.918835\pi\) | |||||||
\(620\) | −25.7036 | −0.00166497 | ||||||||
\(621\) | −2045.31 | + | 2164.82i | −0.132166 | + | 0.139889i | ||||
\(622\) | 5427.93 | 0.349904 | ||||||||
\(623\) | −3768.76 | − | 2422.03i | −0.242363 | − | 0.155757i | ||||
\(624\) | 1762.09 | + | 12255.6i | 0.113045 | + | 0.786246i | ||||
\(625\) | 6238.76 | + | 13661.0i | 0.399281 | + | 0.874303i | ||||
\(626\) | 23953.0 | + | 7033.23i | 1.52932 | + | 0.449048i | ||||
\(627\) | 3521.84 | − | 7711.75i | 0.224320 | − | 0.491192i | ||||
\(628\) | −125.536 | + | 144.877i | −0.00797683 | + | 0.00920575i | ||||
\(629\) | 103.803 | − | 721.963i | 0.00658010 | − | 0.0457656i | ||||
\(630\) | 88.4685 | − | 25.9767i | 0.00559471 | − | 0.00164276i | ||||
\(631\) | −7582.40 | − | 8750.56i | −0.478369 | − | 0.552067i | 0.464352 | − | 0.885651i | \(-0.346287\pi\) |
−0.942720 | + | 0.333584i | \(0.891742\pi\) | |||||||
\(632\) | 2865.96 | − | 1841.84i | 0.180383 | − | 0.115925i | ||||
\(633\) | 9779.53 | − | 6284.92i | 0.614062 | − | 0.394634i | ||||
\(634\) | −13482.5 | − | 15559.6i | −0.844569 | − | 0.974685i | ||||
\(635\) | 2977.78 | − | 874.355i | 0.186094 | − | 0.0546421i | ||||
\(636\) | −12.8106 | + | 89.0997i | −0.000798701 | + | 0.00555508i | ||||
\(637\) | −13956.4 | + | 16106.6i | −0.868090 | + | 1.00183i | ||||
\(638\) | −4067.49 | + | 8906.55i | −0.252403 | + | 0.552686i | ||||
\(639\) | 5500.43 | + | 1615.07i | 0.340522 | + | 0.0999863i | ||||
\(640\) | −782.649 | − | 1713.76i | −0.0483389 | − | 0.105848i | ||||
\(641\) | −2182.46 | − | 15179.4i | −0.134481 | − | 0.935334i | −0.939613 | − | 0.342239i | \(-0.888815\pi\) |
0.805132 | − | 0.593095i | \(-0.202094\pi\) | |||||||
\(642\) | −5402.67 | − | 3472.09i | −0.332129 | − | 0.213446i | ||||
\(643\) | 15094.1 | 0.925745 | 0.462872 | − | 0.886425i | \(-0.346819\pi\) | ||||
0.462872 | + | 0.886425i | \(0.346819\pi\) | |||||||
\(644\) | 3.46885 | + | 34.6496i | 0.000212255 | + | 0.00212016i | ||||
\(645\) | 630.419 | 0.0384849 | ||||||||
\(646\) | 12753.2 | + | 8195.96i | 0.776728 | + | 0.499173i | ||||
\(647\) | 1564.14 | + | 10878.8i | 0.0950428 | + | 0.661037i | 0.980529 | + | 0.196372i | \(0.0629161\pi\) |
−0.885487 | + | 0.464665i | \(0.846175\pi\) | |||||||
\(648\) | 755.964 | + | 1655.33i | 0.0458288 | + | 0.100351i | ||||
\(649\) | −21267.0 | − | 6244.55i | −1.28629 | − | 0.377689i | ||||
\(650\) | −9285.35 | + | 20332.1i | −0.560310 | + | 1.22691i | ||||
\(651\) | −998.765 | + | 1152.64i | −0.0601301 | + | 0.0693938i | ||||
\(652\) | 1.14349 | − | 7.95316i | 6.86849e−5 | − | 0.000477714i | ||||
\(653\) | −27798.9 | + | 8162.49i | −1.66593 | + | 0.489162i | −0.972800 | − | 0.231648i | \(-0.925588\pi\) |
−0.693133 | + | 0.720810i | \(0.743770\pi\) | |||||||
\(654\) | 10481.9 | + | 12096.7i | 0.626717 | + | 0.723270i | ||||
\(655\) | 298.901 | − | 192.092i | 0.0178306 | − | 0.0114590i | ||||
\(656\) | −10367.8 | + | 6663.00i | −0.617067 | + | 0.396565i | ||||
\(657\) | −1239.91 | − | 1430.93i | −0.0736276 | − | 0.0849708i | ||||
\(658\) | 2682.38 | − | 787.619i | 0.158921 | − | 0.0466635i | ||||
\(659\) | 2198.15 | − | 15288.5i | 0.129936 | − | 0.903724i | −0.815695 | − | 0.578482i | \(-0.803645\pi\) |
0.945631 | − | 0.325242i | \(-0.105446\pi\) | |||||||
\(660\) | −15.6273 | + | 18.0349i | −0.000921655 | + | 0.00106365i | ||||
\(661\) | 747.235 | − | 1636.22i | 0.0439698 | − | 0.0962805i | −0.886372 | − | 0.462973i | \(-0.846783\pi\) |
0.930342 | + | 0.366693i | \(0.119510\pi\) | |||||||
\(662\) | −19885.0 | − | 5838.76i | −1.16745 | − | 0.342795i | ||||
\(663\) | −8326.03 | − | 18231.5i | −0.487717 | − | 1.06795i | ||||
\(664\) | 771.439 | + | 5365.48i | 0.0450868 | + | 0.313586i | ||||
\(665\) | 153.354 | + | 98.5544i | 0.00894256 | + | 0.00574703i | ||||
\(666\) | −178.015 | −0.0103573 | ||||||||
\(667\) | 6794.08 | + | 292.460i | 0.394405 | + | 0.0169777i | ||||
\(668\) | 85.2480 | 0.00493764 | ||||||||
\(669\) | 11123.4 | + | 7148.58i | 0.642834 | + | 0.413124i | ||||
\(670\) | −381.345 | − | 2652.32i | −0.0219890 | − | 0.152937i | ||||
\(671\) | −8732.04 | − | 19120.5i | −0.502380 | − | 1.10006i | ||||
\(672\) | 41.1214 | + | 12.0743i | 0.00236055 | + | 0.000693121i | ||||
\(673\) | 5392.55 | − | 11808.0i | 0.308867 | − | 0.676325i | −0.690005 | − | 0.723805i | \(-0.742392\pi\) |
0.998872 | + | 0.0474797i | \(0.0151190\pi\) | |||||||
\(674\) | 20366.0 | − | 23503.6i | 1.16390 | − | 1.34321i | ||||
\(675\) | −474.067 | + | 3297.21i | −0.0270324 | + | 0.188014i | ||||
\(676\) | −198.541 | + | 58.2968i | −0.0112961 | + | 0.00331684i | ||||
\(677\) | −20089.3 | − | 23184.3i | −1.14047 | − | 1.31617i | −0.941827 | − | 0.336097i | \(-0.890893\pi\) |
−0.198640 | − | 0.980073i | \(-0.563652\pi\) | |||||||
\(678\) | −6147.04 | + | 3950.46i | −0.348194 | + | 0.223771i | ||||
\(679\) | −1321.76 | + | 849.441i | −0.0747045 | + | 0.0480097i | ||||
\(680\) | 1969.97 | + | 2273.47i | 0.111096 | + | 0.128211i | ||||
\(681\) | −1005.31 | + | 295.186i | −0.0565691 | + | 0.0166102i | ||||
\(682\) | 4072.63 | − | 28325.7i | 0.228664 | − | 1.59039i | ||||
\(683\) | 20520.9 | − | 23682.4i | 1.14965 | − | 1.32677i | 0.212776 | − | 0.977101i | \(-0.431749\pi\) |
0.936874 | − | 0.349667i | \(-0.113705\pi\) | |||||||
\(684\) | 21.2007 | − | 46.4230i | 0.00118513 | − | 0.00259507i | ||||
\(685\) | −2147.06 | − | 630.433i | −0.119759 | − | 0.0351644i | ||||
\(686\) | 2263.44 | + | 4956.25i | 0.125975 | + | 0.275846i | ||||
\(687\) | 162.713 | + | 1131.69i | 0.00903621 | + | 0.0628482i | ||||
\(688\) | 8996.87 | + | 5781.94i | 0.498550 | + | 0.320399i | ||||
\(689\) | 17057.9 | 0.943187 | ||||||||
\(690\) | 1137.26 | + | 387.787i | 0.0627463 | + | 0.0213954i | ||||
\(691\) | 29803.4 | 1.64077 | 0.820386 | − | 0.571810i | \(-0.193758\pi\) | ||||
0.820386 | + | 0.571810i | \(0.193758\pi\) | |||||||
\(692\) | 158.459 | + | 101.835i | 0.00870478 | + | 0.00559422i | ||||
\(693\) | 201.514 | + | 1401.56i | 0.0110460 | + | 0.0768267i | ||||
\(694\) | −5993.96 | − | 13124.9i | −0.327849 | − | 0.717890i | ||||
\(695\) | −2722.03 | − | 799.259i | −0.148565 | − | 0.0436225i | ||||
\(696\) | 1726.15 | − | 3779.74i | 0.0940080 | − | 0.205849i | ||||
\(697\) | 13064.3 | − | 15077.1i | 0.709967 | − | 0.819346i | ||||
\(698\) | −4051.49 | + | 28178.8i | −0.219701 | + | 1.52805i | ||||
\(699\) | 4045.12 | − | 1187.75i | 0.218885 | − | 0.0642704i | ||||
\(700\) | 25.5062 | + | 29.4358i | 0.00137721 | + | 0.00158938i | ||||
\(701\) | 15817.5 | − | 10165.3i | 0.852239 | − | 0.547700i | −0.0400336 | − | 0.999198i | \(-0.512747\pi\) |
0.892272 | + | 0.451498i | \(0.149110\pi\) | |||||||
\(702\) | −4115.10 | + | 2644.62i | −0.221246 | + | 0.142186i | ||||
\(703\) | −230.476 | − | 265.983i | −0.0123650 | − | 0.0142699i | ||||
\(704\) | 27000.1 | − | 7927.94i | 1.44546 | − | 0.424425i | ||||
\(705\) | 189.361 | − | 1317.03i | 0.0101159 | − | 0.0703579i | ||||
\(706\) | −2480.18 | + | 2862.28i | −0.132214 | + | 0.152583i | ||||
\(707\) | −1023.94 | + | 2242.12i | −0.0544685 | + | 0.119269i | ||||
\(708\) | −128.022 | − | 37.5908i | −0.00679573 | − | 0.00199541i | ||||
\(709\) | −5685.14 | − | 12448.7i | −0.301142 | − | 0.659409i | 0.697206 | − | 0.716871i | \(-0.254426\pi\) |
−0.998348 | + | 0.0574620i | \(0.981699\pi\) | |||||||
\(710\) | −329.151 | − | 2289.30i | −0.0173983 | − | 0.121008i | ||||
\(711\) | 1148.10 | + | 737.838i | 0.0605585 | + | 0.0389186i | ||||
\(712\) | −35672.5 | −1.87765 | ||||||||
\(713\) | −19293.4 | + | 4774.19i | −1.01338 | + | 0.250764i | ||||
\(714\) | −2531.97 | −0.132713 | ||||||||
\(715\) | 3804.25 | + | 2444.84i | 0.198980 | + | 0.127877i | ||||
\(716\) | −68.2768 | − | 474.875i | −0.00356372 | − | 0.0247862i | ||||
\(717\) | −8152.34 | − | 17851.1i | −0.424623 | − | 0.929794i | ||||
\(718\) | −13704.3 | − | 4023.94i | −0.712310 | − | 0.209153i | ||||
\(719\) | −9470.92 | + | 20738.4i | −0.491246 | + | 1.07568i | 0.487971 | + | 0.872860i | \(0.337737\pi\) |
−0.979216 | + | 0.202818i | \(0.934990\pi\) | |||||||
\(720\) | 487.519 | − | 562.627i | 0.0252344 | − | 0.0291220i | ||||
\(721\) | −415.512 | + | 2889.95i | −0.0214625 | + | 0.149275i | ||||
\(722\) | −11725.4 | + | 3442.90i | −0.604399 | + | 0.177468i | ||||
\(723\) | −12736.4 | − | 14698.6i | −0.655150 | − | 0.756083i | ||||
\(724\) | −330.337 | + | 212.295i | −0.0169570 | + | 0.0108976i | ||||
\(725\) | 6398.73 | − | 4112.22i | 0.327783 | − | 0.210654i | ||||
\(726\) | −9951.13 | − | 11484.2i | −0.508707 | − | 0.587079i | ||||
\(727\) | −23.1835 | + | 6.80729i | −0.00118271 | + | 0.000347274i | −0.282324 | − | 0.959319i | \(-0.591105\pi\) |
0.281141 | + | 0.959666i | \(0.409287\pi\) | |||||||
\(728\) | 573.831 | − | 3991.08i | 0.0292137 | − | 0.203186i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −317.331 | + | 694.858i | −0.0160890 | + | 0.0352299i | ||||
\(731\) | −16610.5 | − | 4877.30i | −0.840442 | − | 0.246776i | ||||
\(732\) | −52.5649 | − | 115.101i | −0.00265417 | − | 0.00581183i | ||||
\(733\) | −88.5272 | − | 615.720i | −0.00446088 | − | 0.0310261i | 0.987469 | − | 0.157810i | \(-0.0504435\pi\) |
−0.991930 | + | 0.126784i | \(0.959534\pi\) | |||||||
\(734\) | 4535.65 | + | 2914.89i | 0.228084 | + | 0.146581i | ||||
\(735\) | 1281.41 | 0.0643070 | ||||||||
\(736\) | 347.251 | + | 437.427i | 0.0173911 | + | 0.0219073i | ||||
\(737\) | 41150.7 | 2.05672 | ||||||||
\(738\) | −4096.03 | − | 2632.36i | −0.204305 | − | 0.131299i | ||||
\(739\) | 4570.02 | + | 31785.2i | 0.227484 | + | 1.58219i | 0.708651 | + | 0.705559i | \(0.249304\pi\) |
−0.481167 | + | 0.876629i | \(0.659787\pi\) | |||||||
\(740\) | 0.411535 | + | 0.901136i | 2.04437e−5 | + | 4.47654e-5i | ||||
\(741\) | −9279.32 | − | 2724.65i | −0.460033 | − | 0.135078i | ||||
\(742\) | 895.184 | − | 1960.18i | 0.0442901 | − | 0.0969817i | ||||
\(743\) | 16599.9 | − | 19157.4i | 0.819640 | − | 0.945916i | −0.179644 | − | 0.983732i | \(-0.557495\pi\) |
0.999285 | + | 0.0378161i | \(0.0120401\pi\) | |||||||
\(744\) | −1728.33 | + | 12020.8i | −0.0851663 | + | 0.592344i | ||||
\(745\) | −2667.12 | + | 783.137i | −0.131162 | + | 0.0385127i | ||||
\(746\) | −17120.1 | − | 19757.6i | −0.840228 | − | 0.969674i | ||||
\(747\) | −1826.78 | + | 1174.00i | −0.0894759 | + | 0.0575027i | ||||
\(748\) | 551.283 | − | 354.288i | 0.0269477 | − | 0.0173183i | ||||
\(749\) | 1388.74 | + | 1602.69i | 0.0677481 | + | 0.0781855i | ||||
\(750\) | 2595.99 | − | 762.252i | 0.126390 | − | 0.0371113i | ||||
\(751\) | 1713.54 | − | 11918.0i | 0.0832598 | − | 0.579085i | −0.904896 | − | 0.425632i | \(-0.860052\pi\) |
0.988156 | − | 0.153452i | \(-0.0490392\pi\) | |||||||
\(752\) | 14781.7 | − | 17059.0i | 0.716799 | − | 0.827230i | ||||
\(753\) | −6950.59 | + | 15219.7i | −0.336379 | + | 0.736568i | ||||
\(754\) | 10717.0 | + | 3146.79i | 0.517626 | + | 0.151989i | ||||
\(755\) | −1535.68 | − | 3362.66i | −0.0740251 | − | 0.162092i | ||||
\(756\) | 1.21307 | + | 8.43708i | 5.83583e−5 | + | 0.000405891i | ||||
\(757\) | 30959.7 | + | 19896.6i | 1.48646 | + | 0.955288i | 0.996505 | + | 0.0835389i | \(0.0266223\pi\) |
0.489953 | + | 0.871749i | \(0.337014\pi\) | |||||||
\(758\) | −30096.4 | −1.44215 | ||||||||
\(759\) | −8380.21 | + | 16439.8i | −0.400767 | + | 0.786200i | ||||
\(760\) | 1451.54 | 0.0692803 | ||||||||
\(761\) | 12213.9 | + | 7849.41i | 0.581806 | + | 0.373904i | 0.798191 | − | 0.602404i | \(-0.205790\pi\) |
−0.216385 | + | 0.976308i | \(0.569427\pi\) | |||||||
\(762\) | 2960.13 | + | 20588.2i | 0.140727 | + | 0.978781i | ||||
\(763\) | −2195.64 | − | 4807.77i | −0.104177 | − | 0.228117i | ||||
\(764\) | 28.3813 | + | 8.33349i | 0.00134398 | + | 0.000394627i | ||||
\(765\) | −500.613 | + | 1096.19i | −0.0236598 | + | 0.0518076i | ||||
\(766\) | 17813.6 | − | 20557.9i | 0.840248 | − | 0.969698i | ||||
\(767\) | −3598.34 | + | 25027.0i | −0.169398 | + | 1.17819i | ||||
\(768\) | 494.618 | − | 145.233i | 0.0232396 | − | 0.00682376i | ||||
\(769\) | −8840.63 | − | 10202.6i | −0.414566 | − | 0.478434i | 0.509608 | − | 0.860407i | \(-0.329790\pi\) |
−0.924174 | + | 0.381972i | \(0.875245\pi\) | |||||||
\(770\) | 480.588 | − | 308.855i | 0.0224924 | − | 0.0144550i | ||||
\(771\) | −4838.77 | + | 3109.69i | −0.226023 | + | 0.145256i | ||||
\(772\) | 325.184 | + | 375.283i | 0.0151602 | + | 0.0174958i | ||||
\(773\) | 16310.0 | − | 4789.05i | 0.758901 | − | 0.222833i | 0.120685 | − | 0.992691i | \(-0.461491\pi\) |
0.638216 | + | 0.769857i | \(0.279673\pi\) | |||||||
\(774\) | −601.299 | + | 4182.12i | −0.0279241 | + | 0.194216i | ||||
\(775\) | −14557.8 | + | 16800.6i | −0.674752 | + | 0.778705i | ||||
\(776\) | −5197.20 | + | 11380.3i | −0.240423 | + | 0.526454i | ||||
\(777\) | 56.4010 | + | 16.5608i | 0.00260408 | + | 0.000764628i | ||||
\(778\) | −2466.51 | − | 5400.90i | −0.113661 | − | 0.248884i | ||||
\(779\) | −1369.96 | − | 9528.27i | −0.0630088 | − | 0.438236i | ||||
\(780\) | 22.9007 | + | 14.7174i | 0.00105125 | + | 0.000675600i | ||||
\(781\) | 35518.4 | 1.62734 | ||||||||
\(782\) | −26965.0 | − | 19016.1i | −1.23308 | − | 0.869585i | ||||
\(783\) | 1664.58 | 0.0759735 | ||||||||
\(784\) | 18287.4 | + | 11752.6i | 0.833062 | + | 0.535376i | ||||
\(785\) | −310.844 | − | 2161.97i | −0.0141331 | − | 0.0982980i | ||||
\(786\) | 989.219 | + | 2166.09i | 0.0448909 | + | 0.0982975i | ||||
\(787\) | 28411.8 | + | 8342.45i | 1.28687 | + | 0.377860i | 0.852431 | − | 0.522839i | \(-0.175127\pi\) |
0.434443 | + | 0.900699i | \(0.356945\pi\) | |||||||
\(788\) | −90.3493 | + | 197.837i | −0.00408447 | + | 0.00894373i | ||||
\(789\) | −3449.51 | + | 3980.95i | −0.155648 | + | 0.179627i | ||||
\(790\) | 78.3597 | − | 545.004i | 0.00352900 | − | 0.0245448i | ||||
\(791\) | 2315.10 | − | 679.774i | 0.104065 | − | 0.0305563i | ||||
\(792\) | 7383.58 | + | 8521.11i | 0.331268 | + | 0.382303i | ||||
\(793\) | −20171.9 | + | 12963.7i | −0.903312 | + | 0.580524i | ||||
\(794\) | −1486.24 | + | 955.146i | −0.0664289 | + | 0.0426912i | ||||
\(795\) | −671.645 | − | 775.120i | −0.0299633 | − | 0.0345795i | ||||
\(796\) | −60.5435 | + | 17.7772i | −0.00269586 | + | 0.000791576i | ||||
\(797\) | −1839.90 | + | 12796.8i | −0.0817726 | + | 0.568741i | 0.907207 | + | 0.420685i | \(0.138210\pi\) |
−0.988979 | + | 0.148055i | \(0.952699\pi\) | |||||||
\(798\) | −800.068 | + | 923.327i | −0.0354913 | + | 0.0409592i | ||||
\(799\) | −15178.7 | + | 33236.7i | −0.672070 | + | 1.47163i | ||||
\(800\) | 599.379 | + | 175.994i | 0.0264891 | + | 0.00777789i | ||||
\(801\) | −5936.42 | − | 12998.9i | −0.261864 | − | 0.573402i | ||||
\(802\) | 1462.57 | + | 10172.4i | 0.0643955 | + | 0.447881i | ||||
\(803\) | −9868.83 | − | 6342.32i | −0.433703 | − | 0.278724i | ||||
\(804\) | 247.718 | 0.0108661 | ||||||||
\(805\) | −324.247 | − | 228.664i | −0.0141965 | − | 0.0100116i | ||||
\(806\) | −32644.6 | −1.42662 | ||||||||
\(807\) | −12532.0 | − | 8053.80i | −0.546649 | − | 0.351310i | ||||
\(808\) | 2793.22 | + | 19427.3i | 0.121615 | + | 0.845853i | ||||
\(809\) | 14982.7 | + | 32807.5i | 0.651129 | + | 1.42577i | 0.890562 | + | 0.454861i | \(0.150311\pi\) |
−0.239433 | + | 0.970913i | \(0.576962\pi\) | |||||||
\(810\) | 282.202 | + | 82.8619i | 0.0122414 | + | 0.00359441i | ||||
\(811\) | 14416.1 | − | 31567.0i | 0.624192 | − | 1.36679i | −0.288239 | − | 0.957558i | \(-0.593070\pi\) |
0.912431 | − | 0.409231i | \(-0.134203\pi\) | |||||||
\(812\) | 12.7456 | − | 14.7093i | 0.000550843 | − | 0.000635707i | ||||
\(813\) | 1684.48 | − | 11715.8i | 0.0726660 | − | 0.505403i | ||||
\(814\) | −1058.27 | + | 310.736i | −0.0455680 | + | 0.0133800i | ||||
\(815\) | 59.9519 | + | 69.1882i | 0.00257672 | + | 0.00297369i | ||||
\(816\) | −17198.2 | + | 11052.6i | −0.737814 | + | 0.474164i | ||||
\(817\) | −7027.28 | + | 4516.16i | −0.300922 | + | 0.193391i | ||||
\(818\) | 15825.2 | + | 18263.3i | 0.676425 | + | 0.780636i | ||||
\(819\) | 1549.83 | − | 455.072i | 0.0661239 | − | 0.0194157i | ||||
\(820\) | −3.85616 | + | 26.8202i | −0.000164223 | + | 0.00114220i | ||||
\(821\) | 16223.6 | − | 18723.1i | 0.689657 | − | 0.795907i | −0.297659 | − | 0.954672i | \(-0.596206\pi\) |
0.987316 | + | 0.158766i | \(0.0507514\pi\) | |||||||
\(822\) | 6230.09 | − | 13642.0i | 0.264355 | − | 0.578856i | ||||
\(823\) | 16159.7 | + | 4744.92i | 0.684437 | + | 0.200969i | 0.605422 | − | 0.795904i | \(-0.293004\pi\) |
0.0790151 | + | 0.996873i | \(0.474822\pi\) | |||||||
\(824\) | 9657.79 | + | 21147.6i | 0.408307 | + | 0.894068i | ||||
\(825\) | 2937.24 | + | 20428.9i | 0.123953 | + | 0.862114i | ||||
\(826\) | 2687.09 | + | 1726.89i | 0.113191 | + | 0.0727434i | ||||
\(827\) | 18988.2 | 0.798407 | 0.399204 | − | 0.916862i | \(-0.369287\pi\) | ||||
0.399204 | + | 0.916862i | \(0.369287\pi\) | |||||||
\(828\) | −50.4469 | + | 98.9637i | −0.00211733 | + | 0.00415365i | ||||
\(829\) | −32863.8 | −1.37685 | −0.688425 | − | 0.725308i | \(-0.741698\pi\) | ||||
−0.688425 | + | 0.725308i | \(0.741698\pi\) | |||||||
\(830\) | 737.017 | + | 473.652i | 0.0308220 | + | 0.0198081i | ||||
\(831\) | −2192.52 | − | 15249.3i | −0.0915254 | − | 0.636573i | ||||
\(832\) | −13335.0 | − | 29199.6i | −0.555658 | − | 1.21672i | ||||
\(833\) | −33763.2 | − | 9913.77i | −1.40435 | − | 0.412355i | ||||
\(834\) | 7898.48 | − | 17295.3i | 0.327940 | − | 0.718088i | ||||
\(835\) | −636.069 | + | 734.063i | −0.0263618 | + | 0.0304231i | ||||
\(836\) | 45.0004 | − | 312.985i | 0.00186169 | − | 0.0129483i | ||||
\(837\) | −4667.96 | + | 1370.64i | −0.192770 | + | 0.0566023i | ||||
\(838\) | 19089.8 | + | 22030.8i | 0.786930 | + | 0.908165i | ||||
\(839\) | −35204.2 | + | 22624.3i | −1.44861 | + | 0.930964i | −0.449315 | + | 0.893373i | \(0.648332\pi\) |
−0.999293 | + | 0.0375907i | \(0.988032\pi\) | |||||||
\(840\) | −203.951 | + | 131.071i | −0.00837734 | + | 0.00538379i | ||||
\(841\) | 13482.4 | + | 15559.5i | 0.552805 | + | 0.637971i | ||||
\(842\) | 28208.0 | − | 8282.60i | 1.15453 | − | 0.338999i | ||||
\(843\) | 35.1154 | − | 244.233i | 0.00143468 | − | 0.00997844i | ||||
\(844\) | 283.935 | − | 327.679i | 0.0115799 | − | 0.0133639i | ||||
\(845\) | 979.402 | − | 2144.59i | 0.0398727 | − | 0.0873091i | ||||
\(846\) | 8556.42 | + | 2512.39i | 0.347726 | + | 0.102101i | ||||
\(847\) | 2084.46 | + | 4564.34i | 0.0845609 | + | 0.185162i | ||||
\(848\) | −2476.15 | − | 17222.0i | −0.100273 | − | 0.697412i | ||||
\(849\) | −20293.7 | − | 13042.0i | −0.820352 | − | 0.527208i | ||||
\(850\) | −36905.6 | −1.48924 | ||||||||
\(851\) | 476.279 | + | 599.963i | 0.0191852 | + | 0.0241674i | ||||
\(852\) | 213.813 | 0.00859755 | ||||||||
\(853\) | 16319.4 | + | 10487.8i | 0.655058 | + | 0.420980i | 0.825511 | − | 0.564385i | \(-0.190887\pi\) |
−0.170453 | + | 0.985366i | \(0.554523\pi\) | |||||||
\(854\) | 431.096 | + | 2998.34i | 0.0172738 | + | 0.120142i | ||||
\(855\) | 241.558 | + | 528.937i | 0.00966210 | + | 0.0211571i | ||||
\(856\) | 16202.2 | + | 4757.41i | 0.646941 | + | 0.189959i | ||||
\(857\) | −18662.7 | + | 40865.6i | −0.743881 | + | 1.62887i | 0.0331833 | + | 0.999449i | \(0.489435\pi\) |
−0.777064 | + | 0.629422i | \(0.783292\pi\) | |||||||
\(858\) | −19847.3 | + | 22905.0i | −0.789716 | + | 0.911381i | ||||
\(859\) | 6023.71 | − | 41895.8i | 0.239262 | − | 1.66411i | −0.416498 | − | 0.909137i | \(-0.636743\pi\) |
0.655760 | − | 0.754969i | \(-0.272348\pi\) | |||||||
\(860\) | 22.5606 | − | 6.62439i | 0.000894546 | − | 0.000262663i | ||||
\(861\) | 1052.87 | + | 1215.08i | 0.0416744 | + | 0.0480948i | ||||
\(862\) | 23214.4 | − | 14919.0i | 0.917269 | − | 0.589493i | ||||
\(863\) | 11969.4 | − | 7692.26i | 0.472123 | − | 0.303415i | −0.282858 | − | 0.959162i | \(-0.591282\pi\) |
0.754981 | + | 0.655747i | \(0.227646\pi\) | |||||||
\(864\) | 89.5254 | + | 103.318i | 0.00352514 | + | 0.00406822i | ||||
\(865\) | −2059.22 | + | 604.642i | −0.0809430 | + | 0.0237670i | ||||
\(866\) | −2563.02 | + | 17826.2i | −0.100572 | + | 0.699491i | ||||
\(867\) | 12019.1 | − | 13870.8i | 0.470809 | − | 0.543343i | ||||
\(868\) | −23.6306 | + | 51.7439i | −0.000924051 | + | 0.00202339i | ||||
\(869\) | 8113.22 | + | 2382.26i | 0.316711 | + | 0.0929948i | ||||
\(870\) | −278.983 | − | 610.887i | −0.0108717 | − | 0.0238058i | ||||
\(871\) | −6680.58 | − | 46464.5i | −0.259889 | − | 1.80756i | ||||
\(872\) | −35405.3 | − | 22753.6i | −1.37497 | − | 0.883639i | ||||
\(873\) | −5011.82 | −0.194301 | ||||||||
\(874\) | −15455.1 | + | 3824.40i | −0.598142 | + | 0.148012i | ||||
\(875\) | −893.409 | −0.0345174 | ||||||||
\(876\) | −59.4081 | − | 38.1793i | −0.00229134 | − | 0.00147256i | ||||
\(877\) | 2441.68 | + | 16982.3i | 0.0940134 | + | 0.653878i | 0.981275 | + | 0.192611i | \(0.0616956\pi\) |
−0.887262 | + | 0.461266i | \(0.847395\pi\) | |||||||
\(878\) | 660.153 | + | 1445.53i | 0.0253748 | + | 0.0555631i | ||||
\(879\) | 24768.9 | + | 7272.80i | 0.950437 | + | 0.279074i | ||||
\(880\) | 1916.13 | − | 4195.73i | 0.0734007 | − | 0.160725i | ||||
\(881\) | −3819.73 | + | 4408.21i | −0.146073 | + | 0.168577i | −0.824071 | − | 0.566487i | \(-0.808302\pi\) |
0.677998 | + | 0.735064i | \(0.262848\pi\) | |||||||
\(882\) | −1222.22 | + | 8500.73i | −0.0466602 | + | 0.324529i | ||||
\(883\) | −13445.9 | + | 3948.08i | −0.512448 | + | 0.150468i | −0.527726 | − | 0.849415i | \(-0.676955\pi\) |
0.0152773 | + | 0.999883i | \(0.495137\pi\) | |||||||
\(884\) | −489.535 | − | 564.954i | −0.0186254 | − | 0.0214949i | ||||
\(885\) | 1278.92 | − | 821.911i | 0.0485767 | − | 0.0312183i | ||||
\(886\) | 20679.7 | − | 13290.0i | 0.784140 | − | 0.503936i | ||||
\(887\) | −16101.1 | − | 18581.6i | −0.609493 | − | 0.703393i | 0.364183 | − | 0.931327i | \(-0.381348\pi\) |
−0.973676 | + | 0.227935i | \(0.926803\pi\) | |||||||
\(888\) | 449.106 | − | 131.870i | 0.0169719 | − | 0.00498339i | ||||
\(889\) | 977.463 | − | 6798.40i | 0.0368763 | − | 0.256480i | ||||
\(890\) | −3775.56 | + | 4357.23i | −0.142199 | + | 0.164106i | ||||
\(891\) | −1876.33 | + | 4108.59i | −0.0705492 | + | 0.154481i | ||||
\(892\) | 473.186 | + | 138.940i | 0.0177617 | + | 0.00521531i | ||||
\(893\) | 7324.08 | + | 16037.5i | 0.274458 | + | 0.600979i | ||||
\(894\) | −2651.32 | − | 18440.3i | −0.0991871 | − | 0.689862i | ||||
\(895\) | 4598.55 | + | 2955.31i | 0.171746 | + | 0.110374i | ||||
\(896\) | −4169.50 | −0.155461 | ||||||||
\(897\) | 19923.1 | + | 6793.44i | 0.741598 | + | 0.252872i | ||||
\(898\) | −32730.1 | −1.21628 | ||||||||
\(899\) | 9345.23 | + | 6005.81i | 0.346697 | + | 0.222809i | ||||
\(900\) | 17.6815 | + | 122.978i | 0.000654870 | + | 0.00455472i | ||||
\(901\) | 11700.0 | + | 25619.4i | 0.432612 | + | 0.947288i | ||||
\(902\) | −28945.3 | − | 8499.09i | −1.06848 | − | 0.313735i | ||||
\(903\) | 579.577 | − | 1269.10i | 0.0213589 | − | 0.0467695i | ||||
\(904\) | 12581.7 | − | 14520.1i | 0.462900 | − | 0.534215i | ||||
\(905\) | 636.725 | − | 4428.52i | 0.0233872 | − | 0.162662i | ||||
\(906\) | 23772.2 | − | 6980.15i | 0.871721 | − | 0.255960i | ||||
\(907\) | −10886.9 | − | 12564.2i | −0.398560 | − | 0.459963i | 0.520627 | − | 0.853784i | \(-0.325698\pi\) |
−0.919187 | + | 0.393822i | \(0.871153\pi\) | |||||||
\(908\) | −32.8749 | + | 21.1274i | −0.00120153 | + | 0.000772178i | ||||
\(909\) | −6614.40 | + | 4250.82i | −0.241349 | + | 0.155105i | ||||
\(910\) | −426.758 | − | 492.505i | −0.0155460 | − | 0.0179411i | ||||
\(911\) | −5522.74 | + | 1621.62i | −0.200853 | + | 0.0589756i | −0.380611 | − | 0.924735i | \(-0.624286\pi\) |
0.179759 | + | 0.983711i | \(0.442468\pi\) | |||||||
\(912\) | −1403.86 | + | 9764.07i | −0.0509720 | + | 0.354518i | ||||
\(913\) | −8810.66 | + | 10168.0i | −0.319376 | + | 0.368579i | ||||
\(914\) | −1125.72 | + | 2464.98i | −0.0407390 | + | 0.0892059i | ||||
\(915\) | 1383.33 | + | 406.183i | 0.0499799 | + | 0.0146754i | ||||
\(916\) | 17.7146 | + | 38.7897i | 0.000638983 | + | 0.00139918i | ||||
\(917\) | −111.905 | − | 778.316i | −0.00402991 | − | 0.0280286i | ||||
\(918\) | −6794.50 | − | 4366.56i | −0.244283 | − | 0.156991i | ||||
\(919\) | 12049.1 | 0.432494 | 0.216247 | − | 0.976339i | \(-0.430618\pi\) | ||||
0.216247 | + | 0.976339i | \(0.430618\pi\) | |||||||
\(920\) | −3156.43 | − | 135.872i | −0.113113 | − | 0.00486911i | ||||
\(921\) | 16761.0 | 0.599669 | ||||||||
\(922\) | 6078.87 | + | 3906.65i | 0.217133 | + | 0.139543i | ||||
\(923\) | −5766.22 | − | 40104.9i | −0.205631 | − | 1.43020i | ||||
\(924\) | 21.9390 | + | 48.0397i | 0.000781104 | + | 0.00171038i | ||||
\(925\) | 822.091 | + | 241.388i | 0.0292218 | + | 0.00858030i | ||||
\(926\) | 5678.21 | − | 12433.6i | 0.201509 | − | 0.441244i | ||||
\(927\) | −6098.92 | + | 7038.53i | −0.216089 | + | 0.249381i | ||||
\(928\) | 44.4248 | − | 308.981i | 0.00157146 | − | 0.0109297i | ||||
\(929\) | 2709.25 | − | 795.509i | 0.0956811 | − | 0.0280945i | −0.233542 | − | 0.972347i | \(-0.575031\pi\) |
0.329223 | + | 0.944252i | \(0.393213\pi\) | |||||||
\(930\) | 1285.36 | + | 1483.38i | 0.0453211 | + | 0.0523033i | ||||
\(931\) | −14283.9 | + | 9179.71i | −0.502832 | + | 0.323150i | ||||
\(932\) | 132.281 | − | 85.0115i | 0.00464913 | − | 0.00298782i | ||||
\(933\) | −3744.06 | − | 4320.88i | −0.131377 | − | 0.151618i | ||||
\(934\) | −3603.69 | + | 1058.14i | −0.126249 | + | 0.0370700i | ||||
\(935\) | −1062.60 | + | 7390.54i | −0.0371665 | + | 0.258499i | ||||
\(936\) | 8422.76 | − | 9720.38i | 0.294131 | − | 0.339445i | ||||
\(937\) | 6336.55 | − | 13875.1i | 0.220924 | − | 0.483757i | −0.766422 | − | 0.642338i | \(-0.777965\pi\) |
0.987346 | + | 0.158581i | \(0.0506919\pi\) | |||||||
\(938\) | −5689.96 | − | 1670.72i | −0.198064 | − | 0.0581568i | ||||
\(939\) | −10923.5 | − | 23919.0i | −0.379631 | − | 0.831276i | ||||
\(940\) | −7.06268 | − | 49.1220i | −0.000245063 | − | 0.00170445i | ||||
\(941\) | 35882.3 | + | 23060.1i | 1.24307 | + | 0.798872i | 0.985874 | − | 0.167487i | \(-0.0535653\pi\) |
0.257195 | + | 0.966359i | \(0.417202\pi\) | |||||||
\(942\) | 14638.7 | 0.506322 | ||||||||
\(943\) | 2087.12 | + | 20847.7i | 0.0720741 | + | 0.719932i | ||||
\(944\) | 25790.0 | 0.889187 | ||||||||
\(945\) | −81.7022 | − | 52.5068i | −0.00281246 | − | 0.00180746i | ||||
\(946\) | 3725.54 | + | 25911.7i | 0.128042 | + | 0.890552i | ||||
\(947\) | −5356.41 | − | 11728.9i | −0.183801 | − | 0.402469i | 0.795193 | − | 0.606357i | \(-0.207370\pi\) |
−0.978994 | + | 0.203888i | \(0.934642\pi\) | |||||||
\(948\) | 48.8397 | + | 14.3406i | 0.00167325 | + | 0.000491310i | ||||
\(949\) | −5559.15 | + | 12172.8i | −0.190156 | + | 0.416383i | ||||
\(950\) | −11661.7 | + | 13458.3i | −0.398267 | + | 0.459625i | ||||
\(951\) | −3086.25 | + | 21465.3i | −0.105235 | + | 0.731925i | ||||
\(952\) | 6387.82 | − | 1875.63i | 0.217469 | − | 0.0638546i | ||||
\(953\) | −14329.1 | − | 16536.7i | −0.487057 | − | 0.562094i | 0.458020 | − | 0.888942i | \(-0.348559\pi\) |
−0.945077 | + | 0.326848i | \(0.894013\pi\) | |||||||
\(954\) | 5782.67 | − | 3716.30i | 0.196248 | − | 0.126121i | ||||
\(955\) | −283.523 | + | 182.209i | −0.00960690 | + | 0.00617398i | ||||
\(956\) | −479.323 | − | 553.168i | −0.0162159 | − | 0.0187142i | ||||
\(957\) | 9895.69 | − | 2905.64i | 0.334255 | − | 0.0981461i | ||||
\(958\) | 5512.14 | − | 38337.8i | 0.185897 | − | 1.29294i | ||||
\(959\) | −3243.02 | + | 3742.65i | −0.109200 | + | 0.126023i | ||||
\(960\) | −801.783 | + | 1755.66i | −0.0269557 | + | 0.0590247i | ||||
\(961\) | −2567.69 | − | 753.942i | −0.0861902 | − | 0.0253077i | ||||
\(962\) | 522.666 | + | 1144.48i | 0.0175171 | + | 0.0383571i | ||||
\(963\) | 962.703 | + | 6695.75i | 0.0322146 | + | 0.224058i | ||||
\(964\) | −610.247 | − | 392.182i | −0.0203887 | − | 0.0131030i | ||||
\(965\) | −5657.86 | −0.188739 | ||||||||
\(966\) | 1826.20 | − | 1932.91i | 0.0608251 | − | 0.0643793i | ||||
\(967\) | 21495.1 | 0.714826 | 0.357413 | − | 0.933946i | \(-0.383659\pi\) | ||||
0.357413 | + | 0.933946i | \(0.383659\pi\) | |||||||
\(968\) | 33612.6 | + | 21601.5i | 1.11606 | + | 0.717251i | ||||
\(969\) | −2272.49 | − | 15805.5i | −0.0753383 | − | 0.523989i | ||||
\(970\) | 839.979 | + | 1839.30i | 0.0278042 | + | 0.0608828i | ||||
\(971\) | 31259.3 | + | 9178.57i | 1.03312 | + | 0.303352i | 0.753979 | − | 0.656898i | \(-0.228132\pi\) |
0.279141 | + | 0.960250i | \(0.409950\pi\) | |||||||
\(972\) | −11.2951 | + | 24.7328i | −0.000372726 | + | 0.000816156i | ||||
\(973\) | −4111.49 | + | 4744.91i | −0.135466 | + | 0.156336i | ||||
\(974\) | 1604.12 | − | 11156.9i | 0.0527714 | − | 0.367033i | ||||
\(975\) | 22590.1 | − | 6633.05i | 0.742012 | − | 0.217874i | ||||
\(976\) | 16016.6 | + | 18484.1i | 0.525284 | + | 0.606211i | ||||
\(977\) | 39190.6 | − | 25186.3i | 1.28334 | − | 0.824750i | 0.292040 | − | 0.956406i | \(-0.405666\pi\) |
0.991295 | + | 0.131656i | \(0.0420295\pi\) | |||||||
\(978\) | −516.169 | + | 331.721i | −0.0168765 | + | 0.0108459i | ||||
\(979\) | −57981.6 | − | 66914.4i | −1.89285 | − | 2.18447i | ||||
\(980\) | 45.8575 | − | 13.4650i | 0.00149476 | − | 0.000438901i | ||||
\(981\) | 2399.38 | − | 16688.1i | 0.0780901 | − | 0.543129i | ||||
\(982\) | −18818.6 | + | 21717.8i | −0.611532 | + | 0.705746i | ||||
\(983\) | 520.492 | − | 1139.72i | 0.0168882 | − | 0.0369800i | −0.901000 | − | 0.433819i | \(-0.857166\pi\) |
0.917888 | + | 0.396839i | \(0.129893\pi\) | |||||||
\(984\) | 12283.7 | + | 3606.82i | 0.397958 | + | 0.116851i | ||||
\(985\) | −1029.43 | − | 2254.13i | −0.0332998 | − | 0.0729164i | ||||
\(986\) | 2624.57 | + | 18254.3i | 0.0847701 | + | 0.589589i | ||||
\(987\) | −2477.23 | − | 1592.02i | −0.0798896 | − | 0.0513419i | ||||
\(988\) | −360.706 | −0.0116150 | ||||||||
\(989\) | 15703.8 | − | 9162.74i | 0.504905 | − | 0.294599i | ||||
\(990\) | 1822.29 | 0.0585011 | ||||||||
\(991\) | −48788.7 | − | 31354.6i | −1.56390 | − | 1.00506i | −0.981343 | − | 0.192268i | \(-0.938416\pi\) |
−0.582557 | − | 0.812790i | \(-0.697948\pi\) | |||||||
\(992\) | 129.839 | + | 903.051i | 0.00415564 | + | 0.0289031i | ||||
\(993\) | 9068.31 | + | 19856.8i | 0.289803 | + | 0.634579i | ||||
\(994\) | −4911.18 | − | 1442.05i | −0.156714 | − | 0.0460153i | ||||
\(995\) | 298.661 | − | 653.977i | 0.00951578 | − | 0.0208366i | ||||
\(996\) | −53.0381 | + | 61.2093i | −0.00168733 | + | 0.00194728i | ||||
\(997\) | 8671.85 | − | 60314.1i | 0.275467 | − | 1.91591i | −0.111397 | − | 0.993776i | \(-0.535532\pi\) |
0.386863 | − | 0.922137i | \(-0.373558\pi\) | |||||||
\(998\) | −7436.12 | + | 2183.44i | −0.235858 | + | 0.0692541i | ||||
\(999\) | 122.791 | + | 141.708i | 0.00388881 | + | 0.00448793i |
(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 | 69.4.e.b.25.2 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.163.5 | 60 | |||
23.9 | even | 11 | 1587.4.a.w.1.8 | 30 | |||
23.12 | even | 11 | inner | 69.4.e.b.58.2 | yes | 60 | |
23.14 | odd | 22 | 1587.4.a.v.1.8 | 30 | |||
69.35 | odd | 22 | 207.4.i.b.127.5 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.25.2 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.58.2 | yes | 60 | 23.12 | even | 11 | inner | |
207.4.i.b.127.5 | 60 | 69.35 | odd | 22 | |||
207.4.i.b.163.5 | 60 | 3.2 | odd | 2 | |||
1587.4.a.v.1.8 | 30 | 23.14 | odd | 22 | |||
1587.4.a.w.1.8 | 30 | 23.9 | even | 11 |