Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(3,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 10]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.q (of order \(15\), degree \(8\), 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: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 3.18 | ||
Character | \(\chi\) | \(=\) | 143.3 |
Dual form | 143.4.q.a.48.18 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.868356 | − | 0.386617i | −0.307010 | − | 0.136690i | 0.247448 | − | 0.968901i | \(-0.420408\pi\) |
−0.554459 | + | 0.832211i | \(0.687075\pi\) | |||||||
\(3\) | 2.30554 | − | 2.56056i | 0.443701 | − | 0.492780i | −0.479260 | − | 0.877673i | \(-0.659095\pi\) |
0.922961 | + | 0.384893i | \(0.125762\pi\) | |||||||
\(4\) | −4.74848 | − | 5.27372i | −0.593559 | − | 0.659214i | ||||
\(5\) | 13.8209 | + | 10.0415i | 1.23618 | + | 0.898139i | 0.997338 | − | 0.0729190i | \(-0.0232314\pi\) |
0.238844 | + | 0.971058i | \(0.423231\pi\) | |||||||
\(6\) | −2.99199 | + | 1.33212i | −0.203579 | + | 0.0906392i | ||||
\(7\) | 9.48972 | + | 10.5394i | 0.512397 | + | 0.569074i | 0.942713 | − | 0.333604i | \(-0.108265\pi\) |
−0.430317 | + | 0.902678i | \(0.641598\pi\) | |||||||
\(8\) | 4.43431 | + | 13.6474i | 0.195971 | + | 0.603136i | ||||
\(9\) | 1.58131 | + | 15.0451i | 0.0585669 | + | 0.557227i | ||||
\(10\) | −8.11928 | − | 14.0630i | −0.256754 | − | 0.444711i | ||||
\(11\) | −25.2403 | + | 26.3425i | −0.691839 | + | 0.722052i | ||||
\(12\) | −24.4515 | −0.588211 | ||||||||
\(13\) | 29.5165 | − | 36.4112i | 0.629723 | − | 0.776820i | ||||
\(14\) | −4.16575 | − | 12.8208i | −0.0795244 | − | 0.244751i | ||||
\(15\) | 57.5766 | − | 12.2383i | 0.991081 | − | 0.210661i | ||||
\(16\) | −4.50852 | + | 42.8957i | −0.0704456 | + | 0.670245i | ||||
\(17\) | 51.8537 | − | 23.0867i | 0.739786 | − | 0.329374i | −0.00201149 | − | 0.999998i | \(-0.500640\pi\) |
0.741797 | + | 0.670624i | \(0.233974\pi\) | |||||||
\(18\) | 4.44357 | − | 13.6759i | 0.0581866 | − | 0.179080i | ||||
\(19\) | 88.6267 | + | 18.8382i | 1.07012 | + | 0.227462i | 0.709109 | − | 0.705099i | \(-0.249097\pi\) |
0.361014 | + | 0.932560i | \(0.382431\pi\) | |||||||
\(20\) | −12.6724 | − | 120.569i | −0.141681 | − | 1.34801i | ||||
\(21\) | 48.8657 | 0.507780 | ||||||||
\(22\) | 32.1020 | − | 13.1164i | 0.311099 | − | 0.127110i | ||||
\(23\) | −39.3337 | − | 68.1280i | −0.356593 | − | 0.617638i | 0.630796 | − | 0.775949i | \(-0.282728\pi\) |
−0.987389 | + | 0.158311i | \(0.949395\pi\) | |||||||
\(24\) | 45.1685 | + | 20.1103i | 0.384166 | + | 0.171042i | ||||
\(25\) | 51.5595 | + | 158.684i | 0.412476 | + | 1.26947i | ||||
\(26\) | −39.7080 | + | 20.2063i | −0.299515 | + | 0.152415i | ||||
\(27\) | 117.433 | + | 85.3201i | 0.837037 | + | 0.608143i | ||||
\(28\) | 10.5201 | − | 100.092i | 0.0710041 | − | 0.675559i | ||||
\(29\) | −226.658 | + | 48.1776i | −1.45136 | + | 0.308495i | −0.865087 | − | 0.501622i | \(-0.832737\pi\) |
−0.586269 | + | 0.810117i | \(0.699404\pi\) | |||||||
\(30\) | −54.7285 | − | 11.6329i | −0.333067 | − | 0.0707956i | ||||
\(31\) | 157.454 | − | 114.397i | 0.912245 | − | 0.662785i | −0.0293367 | − | 0.999570i | \(-0.509339\pi\) |
0.941582 | + | 0.336785i | \(0.109339\pi\) | |||||||
\(32\) | 77.8981 | − | 134.923i | 0.430330 | − | 0.745354i | ||||
\(33\) | 9.25921 | + | 125.363i | 0.0488431 | + | 0.661300i | ||||
\(34\) | −53.9532 | −0.272144 | ||||||||
\(35\) | 25.3254 | + | 240.955i | 0.122308 | + | 1.16368i | ||||
\(36\) | 71.8350 | − | 79.7808i | 0.332569 | − | 0.369356i | ||||
\(37\) | 312.174 | − | 66.3546i | 1.38706 | − | 0.294828i | 0.546912 | − | 0.837190i | \(-0.315803\pi\) |
0.840145 | + | 0.542362i | \(0.182470\pi\) | |||||||
\(38\) | −69.6763 | − | 50.6228i | −0.297447 | − | 0.216108i | ||||
\(39\) | −25.1817 | − | 159.526i | −0.103392 | − | 0.654991i | ||||
\(40\) | −75.7540 | + | 233.147i | −0.299444 | + | 0.921594i | ||||
\(41\) | −222.722 | + | 247.358i | −0.848375 | + | 0.942215i | −0.998924 | − | 0.0463871i | \(-0.985229\pi\) |
0.150549 | + | 0.988603i | \(0.451896\pi\) | |||||||
\(42\) | −42.4329 | − | 18.8923i | −0.155894 | − | 0.0694083i | ||||
\(43\) | −109.166 | + | 189.080i | −0.387154 | + | 0.670570i | −0.992065 | − | 0.125723i | \(-0.959875\pi\) |
0.604912 | + | 0.796292i | \(0.293208\pi\) | |||||||
\(44\) | 258.776 | + | 8.02319i | 0.886635 | + | 0.0274896i | ||||
\(45\) | −129.221 | + | 223.817i | −0.428068 | + | 0.741436i | ||||
\(46\) | 7.81623 | + | 74.3664i | 0.0250530 | + | 0.238364i | ||||
\(47\) | −187.739 | − | 577.800i | −0.582649 | − | 1.79321i | −0.608513 | − | 0.793544i | \(-0.708234\pi\) |
0.0258646 | − | 0.999665i | \(-0.491766\pi\) | |||||||
\(48\) | 99.4425 | + | 110.442i | 0.299027 | + | 0.332103i | ||||
\(49\) | 14.8291 | − | 141.089i | 0.0432334 | − | 0.411338i | ||||
\(50\) | 16.5779 | − | 157.728i | 0.0468893 | − | 0.446122i | ||||
\(51\) | 60.4357 | − | 186.002i | 0.165935 | − | 0.510696i | ||||
\(52\) | −332.181 | + | 17.2362i | −0.885869 | + | 0.0459659i | ||||
\(53\) | 147.007 | − | 106.807i | 0.380999 | − | 0.276812i | −0.380758 | − | 0.924675i | \(-0.624337\pi\) |
0.761757 | + | 0.647862i | \(0.224337\pi\) | |||||||
\(54\) | −68.9875 | − | 119.490i | −0.173852 | − | 0.301121i | ||||
\(55\) | −613.363 | + | 110.628i | −1.50374 | + | 0.271220i | ||||
\(56\) | −101.755 | + | 176.245i | −0.242814 | + | 0.420567i | ||||
\(57\) | 252.569 | − | 183.502i | 0.586904 | − | 0.426411i | ||||
\(58\) | 215.446 | + | 45.7945i | 0.487749 | + | 0.103674i | ||||
\(59\) | 365.073 | + | 405.454i | 0.805567 | + | 0.894672i | 0.996209 | − | 0.0869871i | \(-0.0277239\pi\) |
−0.190643 | + | 0.981659i | \(0.561057\pi\) | |||||||
\(60\) | −337.942 | − | 245.529i | −0.727136 | − | 0.528295i | ||||
\(61\) | −421.985 | + | 187.880i | −0.885732 | + | 0.394353i | −0.798613 | − | 0.601845i | \(-0.794433\pi\) |
−0.0871188 | + | 0.996198i | \(0.527766\pi\) | |||||||
\(62\) | −180.954 | + | 38.4630i | −0.370664 | + | 0.0787872i | ||||
\(63\) | −143.561 | + | 159.440i | −0.287094 | + | 0.318850i | ||||
\(64\) | 159.349 | − | 115.774i | 0.311228 | − | 0.226121i | ||||
\(65\) | 773.569 | − | 206.847i | 1.47614 | − | 0.394712i | ||||
\(66\) | 40.4272 | − | 112.440i | 0.0753976 | − | 0.209702i | ||||
\(67\) | −268.915 | − | 465.774i | −0.490346 | − | 0.849304i | 0.509592 | − | 0.860416i | \(-0.329796\pi\) |
−0.999938 | + | 0.0111118i | \(0.996463\pi\) | |||||||
\(68\) | −367.979 | − | 163.835i | −0.656235 | − | 0.292175i | ||||
\(69\) | −265.131 | − | 56.3554i | −0.462581 | − | 0.0983245i | ||||
\(70\) | 71.1660 | − | 219.026i | 0.121514 | − | 0.373981i | ||||
\(71\) | −648.639 | + | 288.793i | −1.08421 | + | 0.482724i | −0.869490 | − | 0.493951i | \(-0.835552\pi\) |
−0.214725 | + | 0.976675i | \(0.568886\pi\) | |||||||
\(72\) | −198.315 | + | 88.2955i | −0.324606 | + | 0.144524i | ||||
\(73\) | −191.613 | + | 589.724i | −0.307214 | + | 0.945506i | 0.671628 | + | 0.740888i | \(0.265595\pi\) |
−0.978842 | + | 0.204618i | \(0.934405\pi\) | |||||||
\(74\) | −296.732 | − | 63.0723i | −0.466141 | − | 0.0990812i | ||||
\(75\) | 525.192 | + | 233.831i | 0.808586 | + | 0.360006i | ||||
\(76\) | −321.494 | − | 556.844i | −0.485236 | − | 0.840453i | ||||
\(77\) | −517.158 | − | 16.0342i | −0.765397 | − | 0.0237307i | ||||
\(78\) | −39.8089 | + | 148.261i | −0.0577881 | + | 0.215222i | ||||
\(79\) | −223.524 | + | 162.400i | −0.318334 | + | 0.231283i | −0.735464 | − | 0.677563i | \(-0.763036\pi\) |
0.417130 | + | 0.908847i | \(0.363036\pi\) | |||||||
\(80\) | −493.049 | + | 547.586i | −0.689057 | + | 0.765275i | ||||
\(81\) | 89.6835 | − | 19.0628i | 0.123023 | − | 0.0261493i | ||||
\(82\) | 289.035 | − | 128.687i | 0.389251 | − | 0.173306i | ||||
\(83\) | −1108.99 | − | 805.728i | −1.46659 | − | 1.06554i | −0.981583 | − | 0.191036i | \(-0.938815\pi\) |
−0.485012 | − | 0.874508i | \(-0.661185\pi\) | |||||||
\(84\) | −232.038 | − | 257.704i | −0.301397 | − | 0.334736i | ||||
\(85\) | 948.492 | + | 201.608i | 1.21033 | + | 0.257264i | ||||
\(86\) | 167.896 | − | 121.984i | 0.210520 | − | 0.152952i | ||||
\(87\) | −399.207 | + | 691.447i | −0.491948 | + | 0.852079i | ||||
\(88\) | −471.430 | − | 227.653i | −0.571075 | − | 0.275772i | ||||
\(89\) | 779.964 | + | 1350.94i | 0.928945 | + | 1.60898i | 0.785091 | + | 0.619380i | \(0.212616\pi\) |
0.143853 | + | 0.989599i | \(0.454051\pi\) | |||||||
\(90\) | 198.741 | − | 144.394i | 0.232768 | − | 0.169116i | ||||
\(91\) | 663.856 | − | 34.4461i | 0.764736 | − | 0.0396806i | ||||
\(92\) | −172.512 | + | 530.939i | −0.195496 | + | 0.601676i | ||||
\(93\) | 70.0959 | − | 666.918i | 0.0781571 | − | 0.743615i | ||||
\(94\) | −60.3634 | + | 574.319i | −0.0662341 | + | 0.630176i | ||||
\(95\) | 1035.74 | + | 1150.31i | 1.11858 | + | 1.24230i | ||||
\(96\) | −165.883 | − | 510.534i | −0.176358 | − | 0.542773i | ||||
\(97\) | −37.7502 | − | 359.169i | −0.0395149 | − | 0.375959i | −0.996352 | − | 0.0853354i | \(-0.972804\pi\) |
0.956837 | − | 0.290624i | \(-0.0938629\pi\) | |||||||
\(98\) | −67.4243 | + | 116.782i | −0.0694988 | + | 0.120375i | ||||
\(99\) | −436.240 | − | 338.088i | −0.442866 | − | 0.343223i | ||||
\(100\) | 592.024 | − | 1025.42i | 0.592024 | − | 1.02542i | ||||
\(101\) | 471.999 | + | 210.148i | 0.465007 | + | 0.207034i | 0.625847 | − | 0.779946i | \(-0.284754\pi\) |
−0.160840 | + | 0.986981i | \(0.551420\pi\) | |||||||
\(102\) | −124.391 | + | 138.150i | −0.120751 | + | 0.134107i | ||||
\(103\) | 358.994 | − | 1104.87i | 0.343424 | − | 1.05695i | −0.618997 | − | 0.785393i | \(-0.712461\pi\) |
0.962422 | − | 0.271559i | \(-0.0875391\pi\) | |||||||
\(104\) | 627.804 | + | 241.365i | 0.591935 | + | 0.227575i | ||||
\(105\) | 675.370 | + | 490.685i | 0.627708 | + | 0.456057i | ||||
\(106\) | −168.948 | + | 35.9110i | −0.154808 | + | 0.0329055i | ||||
\(107\) | 323.979 | − | 359.815i | 0.292712 | − | 0.325090i | −0.578794 | − | 0.815473i | \(-0.696477\pi\) |
0.871507 | + | 0.490384i | \(0.163143\pi\) | |||||||
\(108\) | −107.674 | − | 1024.45i | −0.0959345 | − | 0.912756i | ||||
\(109\) | 1485.52 | 1.30539 | 0.652694 | − | 0.757621i | \(-0.273639\pi\) | ||||
0.652694 | + | 0.757621i | \(0.273639\pi\) | |||||||
\(110\) | 575.388 | + | 141.072i | 0.498737 | + | 0.122279i | ||||
\(111\) | 549.824 | − | 952.324i | 0.470153 | − | 0.814330i | ||||
\(112\) | −494.880 | + | 359.551i | −0.417515 | + | 0.303343i | ||||
\(113\) | 88.5197 | + | 18.8155i | 0.0736924 | + | 0.0156638i | 0.244610 | − | 0.969621i | \(-0.421340\pi\) |
−0.170918 | + | 0.985285i | \(0.554673\pi\) | |||||||
\(114\) | −290.264 | + | 61.6976i | −0.238472 | + | 0.0506887i | ||||
\(115\) | 140.478 | − | 1336.56i | 0.113910 | − | 1.08378i | ||||
\(116\) | 1330.35 | + | 966.559i | 1.06483 | + | 0.773645i | ||||
\(117\) | 594.486 | + | 386.502i | 0.469746 | + | 0.305403i | ||||
\(118\) | −160.258 | − | 493.222i | −0.125025 | − | 0.384786i | ||||
\(119\) | 735.397 | + | 327.420i | 0.566502 | + | 0.252223i | ||||
\(120\) | 422.333 | + | 731.503i | 0.321280 | + | 0.556473i | ||||
\(121\) | −56.8574 | − | 1329.79i | −0.0427178 | − | 0.999087i | ||||
\(122\) | 439.071 | 0.325833 | ||||||||
\(123\) | 119.881 | + | 1140.59i | 0.0878802 | + | 0.836125i | ||||
\(124\) | −1350.96 | − | 287.156i | −0.978389 | − | 0.207963i | ||||
\(125\) | −220.931 | + | 679.957i | −0.158086 | + | 0.486538i | ||||
\(126\) | 186.304 | − | 82.9479i | 0.131724 | − | 0.0586475i | ||||
\(127\) | 34.0235 | − | 323.712i | 0.0237724 | − | 0.226179i | −0.976185 | − | 0.216940i | \(-0.930392\pi\) |
0.999957 | − | 0.00923929i | \(-0.00294100\pi\) | |||||||
\(128\) | −1402.27 | + | 298.061i | −0.968312 | + | 0.205821i | ||||
\(129\) | 232.466 | + | 715.458i | 0.158663 | + | 0.488314i | ||||
\(130\) | −751.704 | − | 119.458i | −0.507145 | − | 0.0805934i | ||||
\(131\) | −884.608 | −0.589989 | −0.294994 | − | 0.955499i | \(-0.595318\pi\) | ||||
−0.294994 | + | 0.955499i | \(0.595318\pi\) | |||||||
\(132\) | 617.162 | − | 644.114i | 0.406947 | − | 0.424719i | ||||
\(133\) | 642.499 | + | 1112.84i | 0.418885 | + | 0.725531i | ||||
\(134\) | 53.4376 | + | 508.425i | 0.0344501 | + | 0.327770i | ||||
\(135\) | 766.293 | + | 2358.41i | 0.488533 | + | 1.50355i | ||||
\(136\) | 545.009 | + | 605.294i | 0.343633 | + | 0.381644i | ||||
\(137\) | 385.074 | − | 171.446i | 0.240139 | − | 0.106917i | −0.283139 | − | 0.959079i | \(-0.591376\pi\) |
0.523278 | + | 0.852162i | \(0.324709\pi\) | |||||||
\(138\) | 208.440 | + | 151.441i | 0.128577 | + | 0.0934167i | ||||
\(139\) | −494.258 | − | 548.929i | −0.301600 | − | 0.334961i | 0.573227 | − | 0.819397i | \(-0.305691\pi\) |
−0.874827 | + | 0.484436i | \(0.839025\pi\) | |||||||
\(140\) | 1150.47 | − | 1277.73i | 0.694520 | − | 0.771342i | ||||
\(141\) | −1912.33 | − | 851.425i | −1.14218 | − | 0.508531i | ||||
\(142\) | 674.902 | 0.398848 | ||||||||
\(143\) | 214.159 | + | 1696.57i | 0.125237 | + | 0.992127i | ||||
\(144\) | −652.501 | −0.377605 | ||||||||
\(145\) | −3616.40 | − | 1610.13i | −2.07121 | − | 0.922163i | ||||
\(146\) | 394.386 | − | 438.010i | 0.223559 | − | 0.248287i | ||||
\(147\) | −327.078 | − | 363.257i | −0.183517 | − | 0.203816i | ||||
\(148\) | −1832.29 | − | 1331.23i | −1.01766 | − | 0.739370i | ||||
\(149\) | −1956.56 | + | 871.119i | −1.07576 | + | 0.478958i | −0.866641 | − | 0.498932i | \(-0.833726\pi\) |
−0.209117 | + | 0.977891i | \(0.567059\pi\) | |||||||
\(150\) | −365.651 | − | 406.096i | −0.199035 | − | 0.221051i | ||||
\(151\) | −513.209 | − | 1579.49i | −0.276585 | − | 0.851241i | −0.988796 | − | 0.149275i | \(-0.952306\pi\) |
0.712211 | − | 0.701966i | \(-0.247694\pi\) | |||||||
\(152\) | 135.906 | + | 1293.06i | 0.0725225 | + | 0.690005i | ||||
\(153\) | 429.340 | + | 743.638i | 0.226863 | + | 0.392938i | ||||
\(154\) | 442.878 | + | 213.865i | 0.231741 | + | 0.111908i | ||||
\(155\) | 3324.88 | 1.72297 | ||||||||
\(156\) | −721.722 | + | 890.308i | −0.370410 | + | 0.456934i | ||||
\(157\) | 491.958 | + | 1514.09i | 0.250080 | + | 0.769666i | 0.994759 | + | 0.102244i | \(0.0326023\pi\) |
−0.744680 | + | 0.667422i | \(0.767398\pi\) | |||||||
\(158\) | 256.885 | − | 54.6026i | 0.129346 | − | 0.0274933i | ||||
\(159\) | 65.4451 | − | 622.668i | 0.0326423 | − | 0.310571i | ||||
\(160\) | 2431.46 | − | 1082.56i | 1.20140 | − | 0.534897i | ||||
\(161\) | 344.762 | − | 1061.07i | 0.168764 | − | 0.519404i | ||||
\(162\) | −85.2473 | − | 18.1199i | −0.0413436 | − | 0.00878785i | ||||
\(163\) | −99.4256 | − | 945.971i | −0.0477768 | − | 0.454565i | −0.992091 | − | 0.125521i | \(-0.959940\pi\) |
0.944314 | − | 0.329045i | \(-0.106727\pi\) | |||||||
\(164\) | 2362.09 | 1.12468 | ||||||||
\(165\) | −1130.86 | + | 1825.61i | −0.533560 | + | 0.861355i | ||||
\(166\) | 651.490 | + | 1128.41i | 0.304611 | + | 0.527601i | ||||
\(167\) | −2831.89 | − | 1260.84i | −1.31220 | − | 0.584231i | −0.373076 | − | 0.927801i | \(-0.621697\pi\) |
−0.939127 | + | 0.343570i | \(0.888364\pi\) | |||||||
\(168\) | 216.686 | + | 666.890i | 0.0995099 | + | 0.306260i | ||||
\(169\) | −454.553 | − | 2149.46i | −0.206897 | − | 0.978363i | ||||
\(170\) | −745.683 | − | 541.771i | −0.336419 | − | 0.244423i | ||||
\(171\) | −143.277 | + | 1363.19i | −0.0640740 | + | 0.609624i | ||||
\(172\) | 1515.53 | − | 322.135i | 0.671848 | − | 0.142806i | ||||
\(173\) | 1926.81 | + | 409.556i | 0.846777 | + | 0.179988i | 0.610814 | − | 0.791774i | \(-0.290842\pi\) |
0.235963 | + | 0.971762i | \(0.424176\pi\) | |||||||
\(174\) | 613.979 | − | 446.082i | 0.267504 | − | 0.194353i | ||||
\(175\) | −1183.15 | + | 2049.27i | −0.511071 | + | 0.885202i | ||||
\(176\) | −1016.18 | − | 1201.46i | −0.435215 | − | 0.514567i | ||||
\(177\) | 1879.88 | 0.798308 | ||||||||
\(178\) | −154.991 | − | 1474.64i | −0.0652645 | − | 0.620950i | ||||
\(179\) | 887.513 | − | 985.683i | 0.370591 | − | 0.411583i | −0.528787 | − | 0.848754i | \(-0.677353\pi\) |
0.899378 | + | 0.437171i | \(0.144020\pi\) | |||||||
\(180\) | 1793.95 | − | 381.315i | 0.742849 | − | 0.157897i | ||||
\(181\) | −2415.83 | − | 1755.20i | −0.992083 | − | 0.720791i | −0.0317069 | − | 0.999497i | \(-0.510094\pi\) |
−0.960376 | + | 0.278707i | \(0.910094\pi\) | |||||||
\(182\) | −589.781 | − | 226.747i | −0.240206 | − | 0.0923493i | ||||
\(183\) | −491.826 | + | 1513.68i | −0.198671 | + | 0.611446i | ||||
\(184\) | 755.352 | − | 838.903i | 0.302637 | − | 0.336113i | ||||
\(185\) | 4980.84 | + | 2217.61i | 1.97945 | + | 0.881308i | ||||
\(186\) | −318.710 | + | 552.022i | −0.125640 | + | 0.217614i | ||||
\(187\) | −700.637 | + | 1948.67i | −0.273988 | + | 0.762037i | ||||
\(188\) | −2155.68 | + | 3733.75i | −0.836273 | + | 1.44847i | ||||
\(189\) | 215.184 | + | 2047.34i | 0.0828166 | + | 0.787947i | ||||
\(190\) | −454.663 | − | 1399.31i | −0.173604 | − | 0.534298i | ||||
\(191\) | −1927.78 | − | 2141.01i | −0.730309 | − | 0.811091i | 0.257579 | − | 0.966257i | \(-0.417075\pi\) |
−0.987888 | + | 0.155166i | \(0.950409\pi\) | |||||||
\(192\) | 70.9395 | − | 674.944i | 0.0266647 | − | 0.253697i | ||||
\(193\) | 328.678 | − | 3127.16i | 0.122584 | − | 1.16631i | −0.744315 | − | 0.667828i | \(-0.767224\pi\) |
0.866899 | − | 0.498483i | \(-0.166109\pi\) | |||||||
\(194\) | −106.080 | + | 326.481i | −0.0392583 | + | 0.120825i | ||||
\(195\) | 1253.85 | − | 2457.67i | 0.460461 | − | 0.902549i | ||||
\(196\) | −814.479 | + | 591.753i | −0.296822 | + | 0.215654i | ||||
\(197\) | −621.911 | − | 1077.18i | −0.224921 | − | 0.389574i | 0.731375 | − | 0.681975i | \(-0.238879\pi\) |
−0.956296 | + | 0.292402i | \(0.905546\pi\) | |||||||
\(198\) | 248.101 | + | 462.238i | 0.0890493 | + | 0.165908i | ||||
\(199\) | 665.330 | − | 1152.39i | 0.237005 | − | 0.410505i | −0.722849 | − | 0.691007i | \(-0.757168\pi\) |
0.959853 | + | 0.280502i | \(0.0905009\pi\) | |||||||
\(200\) | −1936.99 | + | 1407.31i | −0.684829 | + | 0.497558i | ||||
\(201\) | −1812.64 | − | 385.288i | −0.636088 | − | 0.135205i | ||||
\(202\) | −328.617 | − | 364.966i | −0.114462 | − | 0.127123i | ||||
\(203\) | −2658.68 | − | 1931.65i | −0.919227 | − | 0.667857i | ||||
\(204\) | −1267.90 | + | 564.505i | −0.435150 | + | 0.193741i | ||||
\(205\) | −5562.07 | + | 1182.26i | −1.89499 | + | 0.402792i | ||||
\(206\) | −738.896 | + | 820.627i | −0.249909 | + | 0.277552i | ||||
\(207\) | 962.796 | − | 699.512i | 0.323280 | − | 0.234877i | ||||
\(208\) | 1428.81 | + | 1430.29i | 0.476298 | + | 0.476792i | ||||
\(209\) | −2733.21 | + | 1859.17i | −0.904592 | + | 0.615318i | ||||
\(210\) | −396.755 | − | 687.199i | −0.130375 | − | 0.225815i | ||||
\(211\) | −629.525 | − | 280.283i | −0.205395 | − | 0.0914477i | 0.301461 | − | 0.953479i | \(-0.402526\pi\) |
−0.506856 | + | 0.862031i | \(0.669192\pi\) | |||||||
\(212\) | −1261.33 | − | 268.104i | −0.408624 | − | 0.0868558i | ||||
\(213\) | −755.991 | + | 2326.70i | −0.243191 | + | 0.748465i | ||||
\(214\) | −420.440 | + | 187.192i | −0.134302 | + | 0.0597952i | ||||
\(215\) | −3407.42 | + | 1517.08i | −1.08086 | + | 0.481229i | ||||
\(216\) | −643.663 | + | 1980.99i | −0.202758 | + | 0.624025i | ||||
\(217\) | 2699.87 | + | 573.876i | 0.844605 | + | 0.179526i | ||||
\(218\) | −1289.96 | − | 574.329i | −0.400768 | − | 0.178433i | ||||
\(219\) | 1068.25 | + | 1850.27i | 0.329616 | + | 0.570911i | ||||
\(220\) | 3495.96 | + | 2709.38i | 1.07135 | + | 0.830303i | ||||
\(221\) | 689.922 | − | 2569.49i | 0.209996 | − | 0.782095i | ||||
\(222\) | −845.628 | + | 614.385i | −0.255652 | + | 0.185742i | ||||
\(223\) | 1599.75 | − | 1776.71i | 0.480392 | − | 0.533529i | −0.453418 | − | 0.891298i | \(-0.649796\pi\) |
0.933810 | + | 0.357769i | \(0.116462\pi\) | |||||||
\(224\) | 2161.24 | − | 459.387i | 0.644662 | − | 0.137027i | ||||
\(225\) | −2305.89 | + | 1026.65i | −0.683226 | + | 0.304192i | ||||
\(226\) | −69.5923 | − | 50.5618i | −0.0204832 | − | 0.0148819i | ||||
\(227\) | −673.002 | − | 747.444i | −0.196778 | − | 0.218544i | 0.636678 | − | 0.771130i | \(-0.280308\pi\) |
−0.833456 | + | 0.552585i | \(0.813641\pi\) | |||||||
\(228\) | −2167.05 | − | 460.621i | −0.629459 | − | 0.133796i | ||||
\(229\) | −4442.16 | + | 3227.42i | −1.28186 | + | 0.931327i | −0.999608 | − | 0.0280128i | \(-0.991082\pi\) |
−0.282254 | + | 0.959340i | \(0.591082\pi\) | |||||||
\(230\) | −638.723 | + | 1106.30i | −0.183114 | + | 0.317162i | ||||
\(231\) | −1233.38 | + | 1287.25i | −0.351302 | + | 0.366643i | ||||
\(232\) | −1662.57 | − | 2879.66i | −0.470488 | − | 0.814908i | ||||
\(233\) | 2986.49 | − | 2169.81i | 0.839705 | − | 0.610082i | −0.0825831 | − | 0.996584i | \(-0.526317\pi\) |
0.922288 | + | 0.386503i | \(0.126317\pi\) | |||||||
\(234\) | −366.798 | − | 565.460i | −0.102471 | − | 0.157971i | ||||
\(235\) | 3207.26 | − | 9870.92i | 0.890291 | − | 2.74003i | ||||
\(236\) | 404.712 | − | 3850.58i | 0.111629 | − | 1.06208i | ||||
\(237\) | −99.5091 | + | 946.766i | −0.0272735 | + | 0.259490i | ||||
\(238\) | −512.001 | − | 568.634i | −0.139446 | − | 0.154870i | ||||
\(239\) | 973.415 | + | 2995.86i | 0.263452 | + | 0.810821i | 0.992046 | + | 0.125876i | \(0.0401740\pi\) |
−0.728594 | + | 0.684945i | \(0.759826\pi\) | |||||||
\(240\) | 265.384 | + | 2524.96i | 0.0713771 | + | 0.679107i | ||||
\(241\) | 252.905 | − | 438.045i | 0.0675978 | − | 0.117083i | −0.830246 | − | 0.557398i | \(-0.811800\pi\) |
0.897843 | + | 0.440315i | \(0.145133\pi\) | |||||||
\(242\) | −464.745 | + | 1176.71i | −0.123450 | + | 0.312569i | ||||
\(243\) | −1801.64 | + | 3120.53i | −0.475618 | + | 0.823794i | ||||
\(244\) | 2994.61 | + | 1333.29i | 0.785698 | + | 0.349815i | ||||
\(245\) | 1621.70 | − | 1801.08i | 0.422883 | − | 0.469659i | ||||
\(246\) | 336.872 | − | 1036.78i | 0.0873096 | − | 0.268711i | ||||
\(247\) | 3301.87 | − | 2670.97i | 0.850578 | − | 0.688055i | ||||
\(248\) | 2259.42 | + | 1641.57i | 0.578522 | + | 0.420321i | ||||
\(249\) | −4619.93 | + | 981.997i | −1.17581 | + | 0.249926i | ||||
\(250\) | 454.730 | − | 505.029i | 0.115039 | − | 0.127763i | ||||
\(251\) | −478.286 | − | 4550.59i | −0.120275 | − | 1.14434i | −0.873583 | − | 0.486676i | \(-0.838209\pi\) |
0.753307 | − | 0.657669i | \(-0.228457\pi\) | |||||||
\(252\) | 1522.54 | 0.380598 | ||||||||
\(253\) | 2787.46 | + | 683.419i | 0.692671 | + | 0.169827i | ||||
\(254\) | −154.697 | + | 267.943i | −0.0382148 | + | 0.0661900i | ||||
\(255\) | 2703.02 | − | 1963.86i | 0.663802 | − | 0.482280i | ||||
\(256\) | −208.394 | − | 44.2956i | −0.0508776 | − | 0.0108144i | ||||
\(257\) | 417.136 | − | 88.6649i | 0.101246 | − | 0.0215205i | −0.157010 | − | 0.987597i | \(-0.550186\pi\) |
0.258256 | + | 0.966077i | \(0.416852\pi\) | |||||||
\(258\) | 74.7446 | − | 711.148i | 0.0180364 | − | 0.171605i | ||||
\(259\) | 3661.78 | + | 2660.44i | 0.878502 | + | 0.638269i | ||||
\(260\) | −4764.13 | − | 3097.37i | −1.13638 | − | 0.738811i | ||||
\(261\) | −1083.25 | − | 3333.92i | −0.256903 | − | 0.790667i | ||||
\(262\) | 768.155 | + | 342.005i | 0.181133 | + | 0.0806455i | ||||
\(263\) | 316.581 | + | 548.334i | 0.0742252 | + | 0.128562i | 0.900749 | − | 0.434340i | \(-0.143018\pi\) |
−0.826524 | + | 0.562902i | \(0.809685\pi\) | |||||||
\(264\) | −1669.82 | + | 682.262i | −0.389282 | + | 0.159054i | ||||
\(265\) | 3104.28 | 0.719601 | ||||||||
\(266\) | −127.675 | − | 1214.74i | −0.0294295 | − | 0.280003i | ||||
\(267\) | 5257.40 | + | 1117.49i | 1.20505 | + | 0.256141i | ||||
\(268\) | −1179.43 | + | 3629.90i | −0.268824 | + | 0.827356i | ||||
\(269\) | −934.228 | + | 415.945i | −0.211751 | + | 0.0942774i | −0.509871 | − | 0.860251i | \(-0.670307\pi\) |
0.298121 | + | 0.954528i | \(0.403640\pi\) | |||||||
\(270\) | 246.385 | − | 2344.20i | 0.0555353 | − | 0.528383i | ||||
\(271\) | 4031.34 | − | 856.888i | 0.903640 | − | 0.192075i | 0.267418 | − | 0.963581i | \(-0.413830\pi\) |
0.636222 | + | 0.771506i | \(0.280496\pi\) | |||||||
\(272\) | 756.538 | + | 2328.39i | 0.168647 | + | 0.519041i | ||||
\(273\) | 1442.34 | − | 1779.26i | 0.319761 | − | 0.394453i | ||||
\(274\) | −400.665 | −0.0883397 | ||||||||
\(275\) | −5481.51 | − | 2647.01i | −1.20199 | − | 0.580440i | ||||
\(276\) | 961.767 | + | 1665.83i | 0.209752 | + | 0.363301i | ||||
\(277\) | −202.387 | − | 1925.58i | −0.0438998 | − | 0.417679i | −0.994298 | − | 0.106642i | \(-0.965990\pi\) |
0.950398 | − | 0.311037i | \(-0.100676\pi\) | |||||||
\(278\) | 216.966 | + | 667.754i | 0.0468086 | + | 0.144062i | ||||
\(279\) | 1970.10 | + | 2188.02i | 0.422749 | + | 0.469510i | ||||
\(280\) | −3176.11 | + | 1414.10i | −0.677890 | + | 0.301816i | ||||
\(281\) | −1867.15 | − | 1356.56i | −0.396386 | − | 0.287992i | 0.371681 | − | 0.928360i | \(-0.378781\pi\) |
−0.768068 | + | 0.640369i | \(0.778781\pi\) | |||||||
\(282\) | 1331.41 | + | 1478.68i | 0.281150 | + | 0.312249i | ||||
\(283\) | −3946.30 | + | 4382.81i | −0.828915 | + | 0.920603i | −0.997884 | − | 0.0650180i | \(-0.979290\pi\) |
0.168969 | + | 0.985621i | \(0.445956\pi\) | |||||||
\(284\) | 4603.05 | + | 2049.41i | 0.961764 | + | 0.428205i | ||||
\(285\) | 5333.37 | 1.10850 | ||||||||
\(286\) | 469.956 | − | 1556.02i | 0.0971646 | − | 0.321712i | ||||
\(287\) | −4720.58 | −0.970895 | ||||||||
\(288\) | 2153.12 | + | 958.632i | 0.440535 | + | 0.196139i | ||||
\(289\) | −1131.63 | + | 1256.81i | −0.230335 | + | 0.255813i | ||||
\(290\) | 2517.82 | + | 2796.32i | 0.509833 | + | 0.566227i | ||||
\(291\) | −1006.71 | − | 731.416i | −0.202798 | − | 0.147342i | ||||
\(292\) | 4019.91 | − | 1789.78i | 0.805641 | − | 0.358694i | ||||
\(293\) | 3928.79 | + | 4363.36i | 0.783353 | + | 0.870002i | 0.994203 | − | 0.107517i | \(-0.0342899\pi\) |
−0.210850 | + | 0.977518i | \(0.567623\pi\) | |||||||
\(294\) | 143.579 | + | 441.891i | 0.0284820 | + | 0.0876584i | ||||
\(295\) | 974.278 | + | 9269.64i | 0.192287 | + | 1.82949i | ||||
\(296\) | 2289.84 | + | 3966.13i | 0.449643 | + | 0.778805i | ||||
\(297\) | −5211.59 | + | 939.981i | −1.01821 | + | 0.183647i | ||||
\(298\) | 2035.78 | 0.395738 | ||||||||
\(299\) | −3641.62 | − | 578.711i | −0.704348 | − | 0.111932i | ||||
\(300\) | −1260.71 | − | 3880.05i | −0.242623 | − | 0.746716i | ||||
\(301\) | −3028.75 | + | 643.780i | −0.579980 | + | 0.123279i | ||||
\(302\) | −165.011 | + | 1569.98i | −0.0314415 | + | 0.299146i | ||||
\(303\) | 1626.31 | − | 724.079i | 0.308347 | − | 0.137285i | ||||
\(304\) | −1207.65 | + | 3716.77i | −0.227841 | + | 0.701221i | ||||
\(305\) | −7718.82 | − | 1640.69i | −1.44911 | − | 0.308018i | ||||
\(306\) | −85.3166 | − | 811.733i | −0.0159386 | − | 0.151646i | ||||
\(307\) | −1602.07 | −0.297835 | −0.148917 | − | 0.988850i | \(-0.547579\pi\) | ||||
−0.148917 | + | 0.988850i | \(0.547579\pi\) | |||||||
\(308\) | 2371.15 | + | 2803.48i | 0.438665 | + | 0.518646i | ||||
\(309\) | −2001.41 | − | 3466.55i | −0.368467 | − | 0.638204i | ||||
\(310\) | −2887.18 | − | 1285.46i | −0.528971 | − | 0.235513i | ||||
\(311\) | −821.635 | − | 2528.73i | −0.149809 | − | 0.461065i | 0.847789 | − | 0.530334i | \(-0.177933\pi\) |
−0.997598 | + | 0.0692687i | \(0.977933\pi\) | |||||||
\(312\) | 2065.46 | − | 1051.05i | 0.374787 | − | 0.190719i | ||||
\(313\) | 2000.38 | + | 1453.36i | 0.361241 | + | 0.262457i | 0.753569 | − | 0.657368i | \(-0.228330\pi\) |
−0.392329 | + | 0.919825i | \(0.628330\pi\) | |||||||
\(314\) | 158.179 | − | 1504.97i | 0.0284285 | − | 0.270479i | ||||
\(315\) | −3585.16 | + | 762.049i | −0.641273 | + | 0.136307i | ||||
\(316\) | 1917.85 | + | 407.651i | 0.341416 | + | 0.0725701i | ||||
\(317\) | 6487.91 | − | 4713.74i | 1.14952 | − | 0.835174i | 0.161102 | − | 0.986938i | \(-0.448495\pi\) |
0.988417 | + | 0.151764i | \(0.0484952\pi\) | |||||||
\(318\) | −297.564 | + | 515.396i | −0.0524734 | + | 0.0908866i | ||||
\(319\) | 4451.79 | − | 7186.76i | 0.781355 | − | 1.26138i | ||||
\(320\) | 3364.89 | 0.587823 | ||||||||
\(321\) | −174.382 | − | 1659.14i | −0.0303211 | − | 0.288486i | ||||
\(322\) | −709.604 | + | 788.095i | −0.122810 | + | 0.136394i | ||||
\(323\) | 5030.53 | − | 1069.27i | 0.866582 | − | 0.184198i | ||||
\(324\) | −526.392 | − | 382.446i | −0.0902592 | − | 0.0655772i | ||||
\(325\) | 7299.72 | + | 2806.44i | 1.24589 | + | 0.478995i | ||||
\(326\) | −279.392 | + | 859.879i | −0.0474665 | + | 0.146087i | ||||
\(327\) | 3424.94 | − | 3803.78i | 0.579203 | − | 0.643270i | ||||
\(328\) | −4363.41 | − | 1942.72i | −0.734540 | − | 0.327038i | ||||
\(329\) | 4308.08 | − | 7461.82i | 0.721922 | − | 1.25041i | ||||
\(330\) | 1687.80 | − | 1148.07i | 0.281547 | − | 0.191513i | ||||
\(331\) | −530.659 | + | 919.128i | −0.0881197 | + | 0.152628i | −0.906716 | − | 0.421741i | \(-0.861419\pi\) |
0.818597 | + | 0.574369i | \(0.194752\pi\) | |||||||
\(332\) | 1016.83 | + | 9674.47i | 0.168089 | + | 1.59926i | ||||
\(333\) | 1491.96 | + | 4591.77i | 0.245522 | + | 0.755638i | ||||
\(334\) | 1971.63 | + | 2189.71i | 0.323002 | + | 0.358730i | ||||
\(335\) | 960.416 | − | 9137.75i | 0.156636 | − | 1.49029i | ||||
\(336\) | −220.312 | + | 2096.13i | −0.0357709 | + | 0.340337i | ||||
\(337\) | −2439.28 | + | 7507.32i | −0.394290 | + | 1.21350i | 0.535223 | + | 0.844711i | \(0.320228\pi\) |
−0.929513 | + | 0.368790i | \(0.879772\pi\) | |||||||
\(338\) | −436.305 | + | 2042.24i | −0.0702126 | + | 0.328648i | ||||
\(339\) | 252.264 | − | 183.280i | 0.0404162 | − | 0.0293641i | ||||
\(340\) | −3440.66 | − | 5959.41i | −0.548813 | − | 0.950571i | ||||
\(341\) | −960.676 | + | 7035.15i | −0.152562 | + | 1.11723i | ||||
\(342\) | 651.448 | − | 1128.34i | 0.103001 | − | 0.178403i | ||||
\(343\) | 5563.17 | − | 4041.88i | 0.875752 | − | 0.636271i | ||||
\(344\) | −3064.53 | − | 651.386i | −0.480315 | − | 0.102094i | ||||
\(345\) | −3098.47 | − | 3441.20i | −0.483525 | − | 0.537009i | ||||
\(346\) | −1514.81 | − | 1100.58i | −0.235367 | − | 0.171004i | ||||
\(347\) | −467.647 | + | 208.210i | −0.0723476 | + | 0.0322112i | −0.442591 | − | 0.896723i | \(-0.645941\pi\) |
0.370244 | + | 0.928935i | \(0.379274\pi\) | |||||||
\(348\) | 5542.12 | − | 1178.01i | 0.853704 | − | 0.181460i | ||||
\(349\) | −1832.41 | + | 2035.10i | −0.281050 | + | 0.312138i | −0.867097 | − | 0.498139i | \(-0.834017\pi\) |
0.586047 | + | 0.810277i | \(0.300683\pi\) | |||||||
\(350\) | 1819.68 | − | 1322.07i | 0.277902 | − | 0.201908i | ||||
\(351\) | 6572.82 | − | 1757.53i | 0.999519 | − | 0.267265i | ||||
\(352\) | 1588.06 | + | 5457.54i | 0.240465 | + | 0.826386i | ||||
\(353\) | 2441.51 | + | 4228.82i | 0.368126 | + | 0.637613i | 0.989273 | − | 0.146081i | \(-0.0466661\pi\) |
−0.621146 | + | 0.783695i | \(0.713333\pi\) | |||||||
\(354\) | −1632.41 | − | 726.794i | −0.245089 | − | 0.109121i | ||||
\(355\) | −11864.7 | − | 2521.92i | −1.77384 | − | 0.377041i | ||||
\(356\) | 3420.82 | − | 10528.2i | 0.509279 | − | 1.56740i | ||||
\(357\) | 2533.87 | − | 1128.15i | 0.375648 | − | 0.167249i | ||||
\(358\) | −1151.76 | + | 512.796i | −0.170034 | + | 0.0757042i | ||||
\(359\) | −849.909 | + | 2615.75i | −0.124948 | + | 0.384552i | −0.993892 | − | 0.110360i | \(-0.964800\pi\) |
0.868943 | + | 0.494912i | \(0.164800\pi\) | |||||||
\(360\) | −3627.52 | − | 771.053i | −0.531075 | − | 0.112883i | ||||
\(361\) | 1233.80 | + | 549.322i | 0.179880 | + | 0.0800878i | ||||
\(362\) | 1419.21 | + | 2458.14i | 0.206055 | + | 0.356898i | ||||
\(363\) | −3536.08 | − | 2920.29i | −0.511284 | − | 0.422246i | ||||
\(364\) | −3333.96 | − | 3337.42i | −0.480074 | − | 0.480572i | ||||
\(365\) | −8569.98 | + | 6226.46i | −1.22897 | + | 0.892898i | ||||
\(366\) | 1012.30 | − | 1124.27i | 0.144573 | − | 0.160564i | ||||
\(367\) | 8571.80 | − | 1821.99i | 1.21919 | − | 0.259148i | 0.447000 | − | 0.894534i | \(-0.352493\pi\) |
0.772194 | + | 0.635386i | \(0.219159\pi\) | |||||||
\(368\) | 3099.73 | − | 1380.09i | 0.439089 | − | 0.195495i | ||||
\(369\) | −4073.73 | − | 2959.74i | −0.574715 | − | 0.417555i | ||||
\(370\) | −3467.77 | − | 3851.35i | −0.487246 | − | 0.541141i | ||||
\(371\) | 2520.74 | + | 535.799i | 0.352750 | + | 0.0749793i | ||||
\(372\) | −3849.99 | + | 2797.18i | −0.536593 | + | 0.389857i | ||||
\(373\) | −1398.16 | + | 2421.69i | −0.194086 | + | 0.336167i | −0.946601 | − | 0.322409i | \(-0.895507\pi\) |
0.752514 | + | 0.658576i | \(0.228841\pi\) | |||||||
\(374\) | 1361.79 | − | 1421.26i | 0.188280 | − | 0.196502i | ||||
\(375\) | 1231.71 | + | 2133.38i | 0.169613 | + | 0.293779i | ||||
\(376\) | 7052.98 | − | 5124.29i | 0.967366 | − | 0.702833i | ||||
\(377\) | −4935.94 | + | 9674.93i | −0.674307 | + | 1.32171i | ||||
\(378\) | 604.680 | − | 1861.01i | 0.0822788 | − | 0.253228i | ||||
\(379\) | 1463.49 | − | 13924.2i | 0.198349 | − | 1.88717i | −0.215027 | − | 0.976608i | \(-0.568984\pi\) |
0.413376 | − | 0.910560i | \(-0.364350\pi\) | |||||||
\(380\) | 1148.20 | − | 10924.4i | 0.155004 | − | 1.47476i | ||||
\(381\) | −750.442 | − | 833.450i | −0.100909 | − | 0.112071i | ||||
\(382\) | 846.245 | + | 2604.47i | 0.113345 | + | 0.348839i | ||||
\(383\) | 93.9148 | + | 893.540i | 0.0125296 | + | 0.119211i | 0.998999 | − | 0.0447351i | \(-0.0142444\pi\) |
−0.986469 | + | 0.163946i | \(0.947578\pi\) | |||||||
\(384\) | −2469.78 | + | 4277.78i | −0.328217 | + | 0.568488i | ||||
\(385\) | −6986.60 | − | 5414.64i | −0.924857 | − | 0.716768i | ||||
\(386\) | −1494.42 | + | 2588.42i | −0.197057 | + | 0.341314i | ||||
\(387\) | −3017.37 | − | 1343.42i | −0.396334 | − | 0.176459i | ||||
\(388\) | −1714.90 | + | 1904.59i | −0.224383 | + | 0.249203i | ||||
\(389\) | −2541.14 | + | 7820.81i | −0.331210 | + | 1.01936i | 0.637349 | + | 0.770575i | \(0.280031\pi\) |
−0.968559 | + | 0.248784i | \(0.919969\pi\) | |||||||
\(390\) | −2038.96 | + | 1649.37i | −0.264736 | + | 0.214151i | ||||
\(391\) | −3612.45 | − | 2624.60i | −0.467236 | − | 0.339467i | ||||
\(392\) | 1991.25 | − | 423.254i | 0.256565 | − | 0.0545346i | ||||
\(393\) | −2039.50 | + | 2265.09i | −0.261779 | + | 0.290735i | ||||
\(394\) | 123.584 | + | 1175.82i | 0.0158022 | + | 0.150348i | ||||
\(395\) | −4720.05 | −0.601244 | ||||||||
\(396\) | 288.494 | + | 3906.00i | 0.0366095 | + | 0.495667i | ||||
\(397\) | −5422.99 | + | 9392.90i | −0.685572 | + | 1.18745i | 0.287685 | + | 0.957725i | \(0.407115\pi\) |
−0.973257 | + | 0.229720i | \(0.926219\pi\) | |||||||
\(398\) | −1023.28 | + | 743.453i | −0.128875 | + | 0.0936330i | ||||
\(399\) | 4330.81 | + | 920.541i | 0.543387 | + | 0.115501i | ||||
\(400\) | −7039.31 | + | 1496.25i | −0.879913 | + | 0.187031i | ||||
\(401\) | −454.475 | + | 4324.04i | −0.0565970 | + | 0.538485i | 0.929085 | + | 0.369867i | \(0.120597\pi\) |
−0.985682 | + | 0.168617i | \(0.946070\pi\) | |||||||
\(402\) | 1425.06 | + | 1035.36i | 0.176804 | + | 0.128456i | ||||
\(403\) | 482.155 | − | 9109.70i | 0.0595976 | − | 1.12602i | ||||
\(404\) | −1133.02 | − | 3487.07i | −0.139529 | − | 0.429426i | ||||
\(405\) | 1430.93 | + | 637.091i | 0.175564 | + | 0.0781662i | ||||
\(406\) | 1561.88 | + | 2705.25i | 0.190923 | + | 0.330688i | ||||
\(407\) | −6131.41 | + | 9898.26i | −0.746738 | + | 1.20550i | ||||
\(408\) | 2806.43 | 0.340537 | ||||||||
\(409\) | 1387.81 | + | 13204.1i | 0.167781 | + | 1.59633i | 0.677190 | + | 0.735809i | \(0.263198\pi\) |
−0.509408 | + | 0.860525i | \(0.670136\pi\) | |||||||
\(410\) | 5286.94 | + | 1123.77i | 0.636838 | + | 0.135364i | ||||
\(411\) | 448.805 | − | 1381.28i | 0.0538636 | − | 0.165775i | ||||
\(412\) | −7531.44 | + | 3353.21i | −0.900601 | + | 0.400973i | ||||
\(413\) | −808.808 | + | 7695.30i | −0.0963653 | + | 0.916854i | ||||
\(414\) | −1106.49 | + | 235.192i | −0.131355 | + | 0.0279205i | ||||
\(415\) | −7236.55 | − | 22271.8i | −0.855972 | − | 2.63441i | ||||
\(416\) | −2613.45 | − | 6818.83i | −0.308017 | − | 0.803656i | ||||
\(417\) | −2545.10 | −0.298882 | ||||||||
\(418\) | 3092.18 | − | 557.717i | 0.361827 | − | 0.0652604i | ||||
\(419\) | 4495.85 | + | 7787.04i | 0.524193 | + | 0.907928i | 0.999603 | + | 0.0281643i | \(0.00896615\pi\) |
−0.475411 | + | 0.879764i | \(0.657701\pi\) | |||||||
\(420\) | −619.244 | − | 5891.72i | −0.0719429 | − | 0.684491i | ||||
\(421\) | 874.962 | + | 2692.86i | 0.101290 | + | 0.311738i | 0.988842 | − | 0.148970i | \(-0.0475956\pi\) |
−0.887552 | + | 0.460708i | \(0.847596\pi\) | |||||||
\(422\) | 438.290 | + | 486.770i | 0.0505584 | + | 0.0561508i | ||||
\(423\) | 8396.21 | − | 3738.23i | 0.965101 | − | 0.429691i | ||||
\(424\) | 2109.51 | + | 1532.65i | 0.241620 | + | 0.175547i | ||||
\(425\) | 6337.04 | + | 7037.99i | 0.723274 | + | 0.803277i | ||||
\(426\) | 1556.01 | − | 1728.13i | 0.176970 | − | 0.196545i | ||||
\(427\) | −5984.66 | − | 2664.54i | −0.678263 | − | 0.301982i | ||||
\(428\) | −3435.97 | −0.388046 | ||||||||
\(429\) | 4837.92 | + | 3363.14i | 0.544468 | + | 0.378494i | ||||
\(430\) | 3545.39 | 0.397613 | ||||||||
\(431\) | −8036.98 | − | 3578.30i | −0.898208 | − | 0.399908i | −0.0949106 | − | 0.995486i | \(-0.530257\pi\) |
−0.803298 | + | 0.595578i | \(0.796923\pi\) | |||||||
\(432\) | −4189.31 | + | 4652.70i | −0.466571 | + | 0.518179i | ||||
\(433\) | 1107.87 | + | 1230.41i | 0.122958 | + | 0.136559i | 0.801480 | − | 0.598021i | \(-0.204046\pi\) |
−0.678522 | + | 0.734580i | \(0.737379\pi\) | |||||||
\(434\) | −2122.58 | − | 1542.15i | −0.234763 | − | 0.170565i | ||||
\(435\) | −12460.6 | + | 5547.81i | −1.37342 | + | 0.611487i | ||||
\(436\) | −7053.97 | − | 7834.23i | −0.774826 | − | 0.860531i | ||||
\(437\) | −2202.61 | − | 6778.93i | −0.241110 | − | 0.742060i | ||||
\(438\) | −212.279 | − | 2019.70i | −0.0231577 | − | 0.220331i | ||||
\(439\) | −93.3050 | − | 161.609i | −0.0101440 | − | 0.0175699i | 0.860909 | − | 0.508759i | \(-0.169896\pi\) |
−0.871053 | + | 0.491189i | \(0.836562\pi\) | |||||||
\(440\) | −4229.63 | − | 7880.25i | −0.458272 | − | 0.853809i | ||||
\(441\) | 2146.15 | 0.231741 | ||||||||
\(442\) | −1592.51 | + | 1964.50i | −0.171375 | + | 0.211407i | ||||
\(443\) | 233.556 | + | 718.812i | 0.0250488 | + | 0.0770921i | 0.962799 | − | 0.270217i | \(-0.0870955\pi\) |
−0.937751 | + | 0.347309i | \(0.887095\pi\) | |||||||
\(444\) | −7633.11 | + | 1622.47i | −0.815882 | + | 0.173421i | ||||
\(445\) | −2785.60 | + | 26503.2i | −0.296742 | + | 2.82331i | ||||
\(446\) | −2076.06 | + | 924.322i | −0.220413 | + | 0.0981343i | ||||
\(447\) | −2280.38 | + | 7018.30i | −0.241294 | + | 0.742627i | ||||
\(448\) | 2732.36 | + | 580.782i | 0.288152 | + | 0.0612486i | ||||
\(449\) | −469.160 | − | 4463.76i | −0.0493118 | − | 0.469171i | −0.991115 | − | 0.133006i | \(-0.957537\pi\) |
0.941803 | − | 0.336164i | \(-0.109130\pi\) | |||||||
\(450\) | 2399.25 | 0.251337 | ||||||||
\(451\) | −894.467 | − | 12110.4i | −0.0933899 | − | 1.26443i | ||||
\(452\) | −321.106 | − | 556.173i | −0.0334150 | − | 0.0578765i | ||||
\(453\) | −5227.62 | − | 2327.48i | −0.542196 | − | 0.241401i | ||||
\(454\) | 295.430 | + | 909.242i | 0.0305402 | + | 0.0939930i | ||||
\(455\) | 9521.00 | + | 6190.03i | 0.980992 | + | 0.637787i | ||||
\(456\) | 3624.29 | + | 2633.20i | 0.372199 | + | 0.270419i | ||||
\(457\) | −1.26927 | + | 12.0763i | −0.000129921 | + | 0.00123612i | −0.994587 | − | 0.103910i | \(-0.966864\pi\) |
0.994457 | + | 0.105147i | \(0.0335312\pi\) | |||||||
\(458\) | 5105.15 | − | 1085.13i | 0.520848 | − | 0.110710i | ||||
\(459\) | 8059.10 | + | 1713.01i | 0.819535 | + | 0.174197i | ||||
\(460\) | −7715.70 | + | 5605.79i | −0.782058 | + | 0.568198i | ||||
\(461\) | 8590.00 | − | 14878.3i | 0.867844 | − | 1.50315i | 0.00364929 | − | 0.999993i | \(-0.498838\pi\) |
0.864195 | − | 0.503157i | \(-0.167828\pi\) | |||||||
\(462\) | 1568.69 | − | 640.941i | 0.157970 | − | 0.0645439i | ||||
\(463\) | 6049.07 | 0.607179 | 0.303590 | − | 0.952803i | \(-0.401815\pi\) | ||||
0.303590 | + | 0.952803i | \(0.401815\pi\) | |||||||
\(464\) | −1044.72 | − | 9939.86i | −0.104526 | − | 0.994496i | ||||
\(465\) | 7665.65 | − | 8513.56i | 0.764486 | − | 0.849048i | ||||
\(466\) | −3432.22 | + | 729.541i | −0.341190 | + | 0.0725222i | ||||
\(467\) | 7621.39 | + | 5537.27i | 0.755195 | + | 0.548681i | 0.897433 | − | 0.441151i | \(-0.145430\pi\) |
−0.142238 | + | 0.989833i | \(0.545430\pi\) | |||||||
\(468\) | −784.600 | − | 4970.45i | −0.0774961 | − | 0.490938i | ||||
\(469\) | 2357.06 | − | 7254.27i | 0.232065 | − | 0.714224i | ||||
\(470\) | −6601.31 | + | 7331.49i | −0.647863 | + | 0.719525i | ||||
\(471\) | 5011.15 | + | 2231.11i | 0.490237 | + | 0.218268i | ||||
\(472\) | −3914.55 | + | 6780.20i | −0.381741 | + | 0.661195i | ||||
\(473\) | −2225.49 | − | 7648.14i | −0.216338 | − | 0.743471i | ||||
\(474\) | 452.445 | − | 783.658i | 0.0438428 | − | 0.0759380i | ||||
\(475\) | 1580.23 | + | 15034.9i | 0.152644 | + | 1.45231i | ||||
\(476\) | −1765.30 | − | 5433.02i | −0.169984 | − | 0.523156i | ||||
\(477\) | 1839.39 | + | 2042.85i | 0.176561 | + | 0.196091i | ||||
\(478\) | 312.981 | − | 2977.81i | 0.0299486 | − | 0.284942i | ||||
\(479\) | −60.2129 | + | 572.887i | −0.00574363 | + | 0.0546470i | −0.997018 | − | 0.0771655i | \(-0.975413\pi\) |
0.991275 | + | 0.131812i | \(0.0420797\pi\) | |||||||
\(480\) | 2833.88 | − | 8721.77i | 0.269475 | − | 0.829360i | ||||
\(481\) | 6798.23 | − | 13325.2i | 0.644433 | − | 1.26315i | ||||
\(482\) | −388.968 | + | 282.602i | −0.0367572 | + | 0.0267057i | ||||
\(483\) | −1922.07 | − | 3329.12i | −0.181071 | − | 0.313624i | ||||
\(484\) | −6742.92 | + | 6614.30i | −0.633257 | + | 0.621178i | ||||
\(485\) | 3084.85 | − | 5343.12i | 0.288816 | − | 0.500244i | ||||
\(486\) | 2770.91 | − | 2013.19i | 0.258624 | − | 0.187901i | ||||
\(487\) | 6416.91 | + | 1363.96i | 0.597080 | + | 0.126913i | 0.496531 | − | 0.868019i | \(-0.334607\pi\) |
0.100549 | + | 0.994932i | \(0.467940\pi\) | |||||||
\(488\) | −4435.28 | − | 4925.88i | −0.411426 | − | 0.456935i | ||||
\(489\) | −2651.45 | − | 1926.39i | −0.245200 | − | 0.178148i | ||||
\(490\) | −2104.54 | + | 937.000i | −0.194027 | + | 0.0863864i | ||||
\(491\) | −4471.74 | + | 950.497i | −0.411011 | + | 0.0873632i | −0.408777 | − | 0.912634i | \(-0.634045\pi\) |
−0.00223446 | + | 0.999998i | \(0.500711\pi\) | |||||||
\(492\) | 5445.89 | − | 6048.27i | 0.499023 | − | 0.554222i | ||||
\(493\) | −10640.8 | + | 7730.98i | −0.972082 | + | 0.706259i | ||||
\(494\) | −3899.84 | + | 1042.79i | −0.355186 | + | 0.0949746i | ||||
\(495\) | −2634.33 | − | 9053.19i | −0.239201 | − | 0.822041i | ||||
\(496\) | 4197.26 | + | 7269.86i | 0.379965 | + | 0.658118i | ||||
\(497\) | −9199.10 | − | 4095.70i | −0.830254 | − | 0.369653i | ||||
\(498\) | 4391.41 | + | 933.422i | 0.395148 | + | 0.0839913i | ||||
\(499\) | −1549.19 | + | 4767.93i | −0.138981 | + | 0.427739i | −0.996188 | − | 0.0872327i | \(-0.972198\pi\) |
0.857207 | + | 0.514972i | \(0.172198\pi\) | |||||||
\(500\) | 4634.99 | − | 2063.63i | 0.414566 | − | 0.184577i | ||||
\(501\) | −9757.48 | + | 4344.31i | −0.870124 | + | 0.387404i | ||||
\(502\) | −1344.01 | + | 4136.44i | −0.119494 | + | 0.367766i | ||||
\(503\) | −8134.89 | − | 1729.12i | −0.721107 | − | 0.153276i | −0.167282 | − | 0.985909i | \(-0.553499\pi\) |
−0.553825 | + | 0.832633i | \(0.686832\pi\) | |||||||
\(504\) | −2812.54 | − | 1252.22i | −0.248572 | − | 0.110671i | ||||
\(505\) | 4413.27 | + | 7644.02i | 0.388887 | + | 0.673573i | ||||
\(506\) | −2156.28 | − | 1671.13i | −0.189444 | − | 0.146820i | ||||
\(507\) | −6551.82 | − | 3791.76i | −0.573919 | − | 0.332146i | ||||
\(508\) | −1868.72 | + | 1357.71i | −0.163211 | + | 0.118580i | ||||
\(509\) | 6451.07 | − | 7164.63i | 0.561765 | − | 0.623903i | −0.393617 | − | 0.919274i | \(-0.628777\pi\) |
0.955383 | + | 0.295371i | \(0.0954432\pi\) | |||||||
\(510\) | −3106.44 | + | 660.294i | −0.269717 | + | 0.0573300i | ||||
\(511\) | −8033.69 | + | 3576.83i | −0.695479 | + | 0.309647i | ||||
\(512\) | 9442.24 | + | 6860.19i | 0.815024 | + | 0.592149i | ||||
\(513\) | 8800.42 | + | 9773.86i | 0.757404 | + | 0.841182i | ||||
\(514\) | −396.502 | − | 84.2791i | −0.0340252 | − | 0.00723228i | ||||
\(515\) | 16056.2 | − | 11665.5i | 1.37382 | − | 0.998142i | ||||
\(516\) | 2669.26 | − | 4623.30i | 0.227728 | − | 0.394437i | ||||
\(517\) | 19959.3 | + | 9638.32i | 1.69789 | + | 0.819909i | ||||
\(518\) | −2151.16 | − | 3725.92i | −0.182464 | − | 0.316037i | ||||
\(519\) | 5491.02 | − | 3989.46i | 0.464411 | − | 0.337414i | ||||
\(520\) | 6253.17 | + | 9639.98i | 0.527346 | + | 0.812963i | ||||
\(521\) | −6156.55 | + | 18947.9i | −0.517703 | + | 1.59333i | 0.260606 | + | 0.965445i | \(0.416078\pi\) |
−0.778309 | + | 0.627881i | \(0.783922\pi\) | |||||||
\(522\) | −348.298 | + | 3313.83i | −0.0292042 | + | 0.277859i | ||||
\(523\) | 1316.30 | − | 12523.7i | 0.110053 | − | 1.04708i | −0.790538 | − | 0.612413i | \(-0.790199\pi\) |
0.900591 | − | 0.434669i | \(-0.143134\pi\) | |||||||
\(524\) | 4200.54 | + | 4665.17i | 0.350193 | + | 0.388929i | ||||
\(525\) | 2519.49 | + | 7754.20i | 0.209447 | + | 0.644611i | ||||
\(526\) | −62.9096 | − | 598.545i | −0.00521481 | − | 0.0496156i | ||||
\(527\) | 5523.52 | − | 9567.01i | 0.456562 | − | 0.790788i | ||||
\(528\) | −5419.28 | − | 168.021i | −0.446674 | − | 0.0138489i | ||||
\(529\) | 2989.22 | − | 5177.48i | 0.245683 | − | 0.425535i | ||||
\(530\) | −2695.62 | − | 1200.17i | −0.220925 | − | 0.0983621i | ||||
\(531\) | −5522.82 | + | 6133.72i | −0.451356 | + | 0.501282i | ||||
\(532\) | 2817.92 | − | 8672.66i | 0.229647 | − | 0.706781i | ||||
\(533\) | 2432.63 | + | 15410.7i | 0.197690 | + | 1.25237i | ||||
\(534\) | −4133.25 | − | 3002.98i | −0.334950 | − | 0.243355i | ||||
\(535\) | 8090.77 | − | 1719.75i | 0.653822 | − | 0.138974i | ||||
\(536\) | 5164.16 | − | 5735.38i | 0.416152 | − | 0.462184i | ||||
\(537\) | −477.705 | − | 4545.06i | −0.0383883 | − | 0.365240i | ||||
\(538\) | 972.055 | 0.0778964 | ||||||||
\(539\) | 3342.35 | + | 3951.76i | 0.267097 | + | 0.315797i | ||||
\(540\) | 8798.85 | − | 15240.1i | 0.701189 | − | 1.21450i | ||||
\(541\) | 17601.0 | − | 12787.8i | 1.39875 | − | 1.01625i | 0.403911 | − | 0.914798i | \(-0.367650\pi\) |
0.994840 | − | 0.101454i | \(-0.0323496\pi\) | |||||||
\(542\) | −3831.93 | − | 814.501i | −0.303681 | − | 0.0645495i | ||||
\(543\) | −10064.1 | + | 2139.19i | −0.795380 | + | 0.169063i | ||||
\(544\) | 924.359 | − | 8794.69i | 0.0728522 | − | 0.693142i | ||||
\(545\) | 20531.3 | + | 14916.9i | 1.61370 | + | 1.17242i | ||||
\(546\) | −1940.36 | + | 987.397i | −0.152088 | + | 0.0773932i | ||||
\(547\) | 7053.13 | + | 21707.3i | 0.551316 | + | 1.69678i | 0.705479 | + | 0.708731i | \(0.250732\pi\) |
−0.154163 | + | 0.988045i | \(0.549268\pi\) | |||||||
\(548\) | −2732.67 | − | 1216.66i | −0.213018 | − | 0.0948417i | ||||
\(549\) | −3493.97 | − | 6051.73i | −0.271619 | − | 0.470458i | ||||
\(550\) | 3736.52 | + | 4417.80i | 0.289683 | + | 0.342501i | ||||
\(551\) | −20995.5 | −1.62330 | ||||||||
\(552\) | −406.569 | − | 3868.25i | −0.0313492 | − | 0.298268i | ||||
\(553\) | −3832.78 | − | 814.682i | −0.294731 | − | 0.0626470i | ||||
\(554\) | −568.719 | + | 1750.34i | −0.0436147 | + | 0.134232i | ||||
\(555\) | 17161.8 | − | 7640.95i | 1.31258 | − | 0.584397i | ||||
\(556\) | −547.924 | + | 5213.15i | −0.0417934 | + | 0.397638i | ||||
\(557\) | 6442.00 | − | 1369.29i | 0.490047 | − | 0.104163i | 0.0437406 | − | 0.999043i | \(-0.486072\pi\) |
0.446306 | + | 0.894880i | \(0.352739\pi\) | |||||||
\(558\) | −864.825 | − | 2661.66i | −0.0656110 | − | 0.201930i | ||||
\(559\) | 3662.46 | + | 9555.85i | 0.277112 | + | 0.723022i | ||||
\(560\) | −10450.1 | −0.788569 | ||||||||
\(561\) | 3374.35 | + | 6286.77i | 0.253948 | + | 0.473133i | ||||
\(562\) | 1096.88 | + | 1899.85i | 0.0823292 | + | 0.142598i | ||||
\(563\) | −691.188 | − | 6576.22i | −0.0517409 | − | 0.492282i | −0.989452 | − | 0.144864i | \(-0.953725\pi\) |
0.937711 | − | 0.347417i | \(-0.112941\pi\) | |||||||
\(564\) | 4590.49 | + | 14128.1i | 0.342721 | + | 1.05479i | ||||
\(565\) | 1034.49 | + | 1148.92i | 0.0770289 | + | 0.0855493i | ||||
\(566\) | 5121.26 | − | 2280.13i | 0.380323 | − | 0.169330i | ||||
\(567\) | 1051.98 | + | 764.310i | 0.0779173 | + | 0.0566102i | ||||
\(568\) | −6817.53 | − | 7571.64i | −0.503622 | − | 0.559329i | ||||
\(569\) | −5417.37 | + | 6016.60i | −0.399136 | + | 0.443285i | −0.908891 | − | 0.417035i | \(-0.863069\pi\) |
0.509755 | + | 0.860320i | \(0.329736\pi\) | |||||||
\(570\) | −4631.26 | − | 2061.97i | −0.340320 | − | 0.151520i | ||||
\(571\) | 5098.10 | 0.373641 | 0.186820 | − | 0.982394i | \(-0.440182\pi\) | ||||
0.186820 | + | 0.982394i | \(0.440182\pi\) | |||||||
\(572\) | 7930.29 | − | 9185.53i | 0.579689 | − | 0.671444i | ||||
\(573\) | −9926.77 | −0.723729 | ||||||||
\(574\) | 4099.14 | + | 1825.06i | 0.298075 | + | 0.132711i | ||||
\(575\) | 8782.78 | − | 9754.26i | 0.636986 | − | 0.707445i | ||||
\(576\) | 1993.81 | + | 2214.35i | 0.144228 | + | 0.160182i | ||||
\(577\) | −15939.6 | − | 11580.8i | −1.15004 | − | 0.835553i | −0.161554 | − | 0.986864i | \(-0.551651\pi\) |
−0.988486 | + | 0.151310i | \(0.951651\pi\) | |||||||
\(578\) | 1468.56 | − | 653.847i | 0.105682 | − | 0.0470527i | ||||
\(579\) | −7249.51 | − | 8051.40i | −0.520345 | − | 0.577901i | ||||
\(580\) | 8681.04 | + | 26717.5i | 0.621484 | + | 1.91273i | ||||
\(581\) | −2032.11 | − | 19334.2i | −0.145105 | − | 1.38058i | ||||
\(582\) | 591.403 | + | 1024.34i | 0.0421211 | + | 0.0729558i | ||||
\(583\) | −896.935 | + | 6568.37i | −0.0637174 | + | 0.466611i | ||||
\(584\) | −8897.87 | −0.630473 | ||||||||
\(585\) | 4335.30 | + | 11311.4i | 0.306397 | + | 0.799431i | ||||
\(586\) | −1724.64 | − | 5307.89i | −0.121577 | − | 0.374176i | ||||
\(587\) | −13001.0 | + | 2763.45i | −0.914155 | + | 0.194310i | −0.640893 | − | 0.767630i | \(-0.721436\pi\) |
−0.273262 | + | 0.961940i | \(0.588103\pi\) | |||||||
\(588\) | −362.592 | + | 3449.83i | −0.0254304 | + | 0.241954i | ||||
\(589\) | 16109.7 | − | 7172.48i | 1.12697 | − | 0.501761i | ||||
\(590\) | 2737.78 | − | 8426.02i | 0.191038 | − | 0.587956i | ||||
\(591\) | −4192.03 | − | 891.044i | −0.291772 | − | 0.0620180i | ||||
\(592\) | 1438.89 | + | 13690.1i | 0.0998950 | + | 0.950437i | ||||
\(593\) | −11459.8 | −0.793588 | −0.396794 | − | 0.917908i | \(-0.629877\pi\) | ||||
−0.396794 | + | 0.917908i | \(0.629877\pi\) | |||||||
\(594\) | 4888.93 | + | 1198.65i | 0.337702 | + | 0.0827967i | ||||
\(595\) | 6876.09 | + | 11909.7i | 0.473769 | + | 0.820591i | ||||
\(596\) | 13884.7 | + | 6181.88i | 0.954263 | + | 0.424865i | ||||
\(597\) | −1416.81 | − | 4360.49i | −0.0971292 | − | 0.298933i | ||||
\(598\) | 2938.48 | + | 1910.44i | 0.200942 | + | 0.130641i | ||||
\(599\) | 18732.4 | + | 13609.9i | 1.27777 | + | 0.928357i | 0.999483 | − | 0.0321393i | \(-0.0102320\pi\) |
0.278291 | + | 0.960497i | \(0.410232\pi\) | |||||||
\(600\) | −862.315 | + | 8204.38i | −0.0586731 | + | 0.558237i | ||||
\(601\) | 18033.2 | − | 3833.07i | 1.22394 | − | 0.260156i | 0.449776 | − | 0.893141i | \(-0.351504\pi\) |
0.774164 | + | 0.632985i | \(0.218171\pi\) | |||||||
\(602\) | 2878.93 | + | 611.935i | 0.194911 | + | 0.0414296i | ||||
\(603\) | 6582.40 | − | 4782.39i | 0.444537 | − | 0.322975i | ||||
\(604\) | −5892.85 | + | 10206.7i | −0.396981 | + | 0.687591i | ||||
\(605\) | 12567.2 | − | 18949.8i | 0.844512 | − | 1.27342i | ||||
\(606\) | −1692.16 | −0.113431 | ||||||||
\(607\) | 2314.92 | + | 22025.0i | 0.154793 | + | 1.47276i | 0.745840 | + | 0.666125i | \(0.232048\pi\) |
−0.591047 | + | 0.806637i | \(0.701285\pi\) | |||||||
\(608\) | 9445.56 | − | 10490.4i | 0.630046 | − | 0.699737i | ||||
\(609\) | −11075.8 | + | 2354.23i | −0.736969 | + | 0.156648i | ||||
\(610\) | 6068.37 | + | 4408.93i | 0.402789 | + | 0.292643i | ||||
\(611\) | −26579.8 | − | 10218.8i | −1.75991 | − | 0.676612i | ||||
\(612\) | 1883.03 | − | 5795.36i | 0.124374 | − | 0.382784i | ||||
\(613\) | −6805.46 | + | 7558.22i | −0.448401 | + | 0.498000i | −0.924389 | − | 0.381452i | \(-0.875424\pi\) |
0.475988 | + | 0.879452i | \(0.342091\pi\) | |||||||
\(614\) | 1391.17 | + | 619.389i | 0.0914383 | + | 0.0407109i | ||||
\(615\) | −9796.35 | + | 16967.8i | −0.642320 | + | 1.11253i | ||||
\(616\) | −2074.41 | − | 7128.96i | −0.135683 | − | 0.466289i | ||||
\(617\) | 1917.37 | − | 3320.99i | 0.125106 | − | 0.216690i | −0.796668 | − | 0.604417i | \(-0.793406\pi\) |
0.921774 | + | 0.387727i | \(0.126740\pi\) | |||||||
\(618\) | 397.712 | + | 3783.98i | 0.0258873 | + | 0.246301i | ||||
\(619\) | −3398.10 | − | 10458.3i | −0.220648 | − | 0.679085i | −0.998704 | − | 0.0508900i | \(-0.983794\pi\) |
0.778056 | − | 0.628195i | \(-0.216206\pi\) | |||||||
\(620\) | −15788.1 | − | 17534.5i | −1.02269 | − | 1.13581i | ||||
\(621\) | 1193.61 | − | 11356.4i | 0.0771302 | − | 0.733845i | ||||
\(622\) | −264.179 | + | 2513.50i | −0.0170299 | + | 0.162029i | ||||
\(623\) | −6836.44 | + | 21040.4i | −0.439640 | + | 1.35307i | ||||
\(624\) | 6956.52 | − | 360.960i | 0.446288 | − | 0.0231570i | ||||
\(625\) | 6991.79 | − | 5079.84i | 0.447475 | − | 0.325109i | ||||
\(626\) | −1175.15 | − | 2035.42i | −0.0750294 | − | 0.129955i | ||||
\(627\) | −1541.00 | + | 11284.9i | −0.0981524 | + | 0.718783i | ||||
\(628\) | 5648.83 | − | 9784.07i | 0.358938 | − | 0.621699i | ||||
\(629\) | 14655.5 | − | 10647.8i | 0.929016 | − | 0.674970i | ||||
\(630\) | 3407.82 | + | 724.354i | 0.215509 | + | 0.0458079i | ||||
\(631\) | −10761.1 | − | 11951.5i | −0.678913 | − | 0.754010i | 0.300959 | − | 0.953637i | \(-0.402693\pi\) |
−0.979872 | + | 0.199628i | \(0.936027\pi\) | |||||||
\(632\) | −3207.51 | − | 2330.39i | −0.201879 | − | 0.146674i | ||||
\(633\) | −2169.08 | + | 965.735i | −0.136198 | + | 0.0606391i | ||||
\(634\) | −7456.23 | + | 1584.87i | −0.467074 | + | 0.0992796i | ||||
\(635\) | 3720.79 | − | 4132.36i | 0.232528 | − | 0.258248i | ||||
\(636\) | −3594.54 | + | 2611.59i | −0.224108 | + | 0.162824i | ||||
\(637\) | −4699.52 | − | 4704.40i | −0.292311 | − | 0.292614i | ||||
\(638\) | −6644.26 | + | 4519.53i | −0.412302 | + | 0.280454i | ||||
\(639\) | −5370.62 | − | 9302.19i | −0.332486 | − | 0.575882i | ||||
\(640\) | −22373.6 | − | 9961.37i | −1.38187 | − | 0.615246i | ||||
\(641\) | −18972.7 | − | 4032.78i | −1.16908 | − | 0.248495i | −0.417835 | − | 0.908523i | \(-0.637211\pi\) |
−0.751241 | + | 0.660028i | \(0.770544\pi\) | |||||||
\(642\) | −490.024 | + | 1508.14i | −0.0301242 | + | 0.0927127i | ||||
\(643\) | 4752.30 | − | 2115.86i | 0.291465 | − | 0.129769i | −0.255795 | − | 0.966731i | \(-0.582337\pi\) |
0.547261 | + | 0.836962i | \(0.315671\pi\) | |||||||
\(644\) | −7232.87 | + | 3220.28i | −0.442570 | + | 0.197045i | ||||
\(645\) | −3971.37 | + | 12222.6i | −0.242438 | + | 0.746147i | ||||
\(646\) | −4781.69 | − | 1016.38i | −0.291228 | − | 0.0619023i | ||||
\(647\) | 6201.32 | + | 2761.01i | 0.376815 | + | 0.167769i | 0.586400 | − | 0.810022i | \(-0.300545\pi\) |
−0.209585 | + | 0.977790i | \(0.567211\pi\) | |||||||
\(648\) | 657.842 | + | 1139.42i | 0.0398804 | + | 0.0690749i | ||||
\(649\) | −19895.2 | − | 616.840i | −1.20332 | − | 0.0373083i | ||||
\(650\) | −5253.74 | − | 5259.19i | −0.317029 | − | 0.317358i | ||||
\(651\) | 7694.11 | − | 5590.10i | 0.463220 | − | 0.336549i | ||||
\(652\) | −4516.66 | + | 5016.26i | −0.271298 | + | 0.301307i | ||||
\(653\) | 18968.5 | − | 4031.88i | 1.13675 | − | 0.241623i | 0.399163 | − | 0.916880i | \(-0.369301\pi\) |
0.737582 | + | 0.675257i | \(0.235967\pi\) | |||||||
\(654\) | −4444.67 | + | 1978.89i | −0.265750 | + | 0.118319i | ||||
\(655\) | −12226.1 | − | 8882.79i | −0.729334 | − | 0.529892i | ||||
\(656\) | −9606.45 | − | 10669.0i | −0.571751 | − | 0.634994i | ||||
\(657\) | −9175.48 | − | 1950.31i | −0.544854 | − | 0.115812i | ||||
\(658\) | −6625.82 | + | 4813.94i | −0.392555 | + | 0.285208i | ||||
\(659\) | −12868.0 | + | 22288.1i | −0.760648 | + | 1.31748i | 0.181869 | + | 0.983323i | \(0.441785\pi\) |
−0.942517 | + | 0.334159i | \(0.891548\pi\) | |||||||
\(660\) | 14997.6 | − | 2705.02i | 0.884518 | − | 0.159535i | ||||
\(661\) | −11629.1 | − | 20142.3i | −0.684299 | − | 1.18524i | −0.973657 | − | 0.228019i | \(-0.926775\pi\) |
0.289358 | − | 0.957221i | \(-0.406558\pi\) | |||||||
\(662\) | 816.151 | − | 592.968i | 0.0479163 | − | 0.0348133i | ||||
\(663\) | −4988.71 | − | 7690.66i | −0.292225 | − | 0.450498i | ||||
\(664\) | 6078.49 | − | 18707.7i | 0.355258 | − | 1.09337i | ||||
\(665\) | −2294.65 | + | 21832.2i | −0.133809 | + | 1.27311i | ||||
\(666\) | 479.707 | − | 4564.11i | 0.0279103 | − | 0.265549i | ||||
\(667\) | 12197.5 | + | 13546.7i | 0.708082 | + | 0.786405i | ||||
\(668\) | 6797.85 | + | 20921.6i | 0.393737 | + | 1.21180i | ||||
\(669\) | −861.070 | − | 8192.53i | −0.0497622 | − | 0.473455i | ||||
\(670\) | −4366.79 | + | 7563.51i | −0.251797 | + | 0.436125i | ||||
\(671\) | 5701.79 | − | 15858.3i | 0.328040 | − | 0.912373i | ||||
\(672\) | 3806.55 | − | 6593.13i | 0.218513 | − | 0.378476i | ||||
\(673\) | 10135.7 | + | 4512.68i | 0.580536 | + | 0.258471i | 0.675927 | − | 0.736969i | \(-0.263743\pi\) |
−0.0953910 | + | 0.995440i | \(0.530410\pi\) | |||||||
\(674\) | 5020.62 | − | 5575.96i | 0.286924 | − | 0.318662i | ||||
\(675\) | −7484.13 | + | 23033.8i | −0.426762 | + | 1.31344i | ||||
\(676\) | −9177.22 | + | 12603.9i | −0.522145 | + | 0.717106i | ||||
\(677\) | −13526.0 | − | 9827.25i | −0.767870 | − | 0.557891i | 0.133444 | − | 0.991056i | \(-0.457396\pi\) |
−0.901314 | + | 0.433166i | \(0.857396\pi\) | |||||||
\(678\) | −289.914 | + | 61.6232i | −0.0164220 | + | 0.00349060i | ||||
\(679\) | 3427.19 | − | 3806.28i | 0.193702 | − | 0.215127i | ||||
\(680\) | 1454.48 | + | 13838.4i | 0.0820246 | + | 0.780412i | ||||
\(681\) | −3465.51 | −0.195005 | ||||||||
\(682\) | 3554.12 | − | 5737.61i | 0.199552 | − | 0.322147i | ||||
\(683\) | −4134.44 | + | 7161.06i | −0.231625 | + | 0.401186i | −0.958286 | − | 0.285809i | \(-0.907738\pi\) |
0.726661 | + | 0.686996i | \(0.241071\pi\) | |||||||
\(684\) | 7869.42 | − | 5717.47i | 0.439905 | − | 0.319609i | ||||
\(685\) | 7043.65 | + | 1497.17i | 0.392882 | + | 0.0835097i | ||||
\(686\) | −6393.47 | + | 1358.97i | −0.355836 | + | 0.0756354i | ||||
\(687\) | −1977.58 | + | 18815.4i | −0.109824 | + | 1.04491i | ||||
\(688\) | −7618.56 | − | 5535.21i | −0.422173 | − | 0.306727i | ||||
\(689\) | 450.164 | − | 8505.27i | 0.0248910 | − | 0.470283i | ||||
\(690\) | 1360.15 | + | 4186.11i | 0.0750435 | + | 0.230960i | ||||
\(691\) | 17600.7 | + | 7836.34i | 0.968977 | + | 0.431416i | 0.829314 | − | 0.558783i | \(-0.188731\pi\) |
0.139663 | + | 0.990199i | \(0.455398\pi\) | |||||||
\(692\) | −6989.52 | − | 12106.2i | −0.383962 | − | 0.665041i | ||||
\(693\) | −576.549 | − | 7806.06i | −0.0316036 | − | 0.427890i | ||||
\(694\) | 486.582 | 0.0266144 | ||||||||
\(695\) | −1319.04 | − | 12549.8i | −0.0719912 | − | 0.684951i | ||||
\(696\) | −11206.7 | − | 2382.05i | −0.610327 | − | 0.129729i | ||||
\(697\) | −5838.27 | + | 17968.3i | −0.317274 | + | 0.976470i | ||||
\(698\) | 2377.99 | − | 1058.75i | 0.128951 | − | 0.0574129i | ||||
\(699\) | 1329.53 | − | 12649.7i | 0.0719422 | − | 0.684484i | ||||
\(700\) | 16425.4 | − | 3491.33i | 0.886889 | − | 0.188514i | ||||
\(701\) | 4863.54 | + | 14968.4i | 0.262045 | + | 0.806491i | 0.992360 | + | 0.123380i | \(0.0393734\pi\) |
−0.730315 | + | 0.683111i | \(0.760627\pi\) | |||||||
\(702\) | −6387.04 | − | 1015.00i | −0.343395 | − | 0.0545709i | ||||
\(703\) | 28916.9 | 1.55138 | ||||||||
\(704\) | −972.237 | + | 7119.82i | −0.0520491 | + | 0.381162i | ||||
\(705\) | −17880.6 | − | 30970.2i | −0.955211 | − | 1.65447i | ||||
\(706\) | −485.167 | − | 4616.06i | −0.0258633 | − | 0.246073i | ||||
\(707\) | 2264.31 | + | 6968.83i | 0.120450 | + | 0.370707i | ||||
\(708\) | −8926.57 | − | 9913.96i | −0.473843 | − | 0.526256i | ||||
\(709\) | −14986.7 | + | 6672.49i | −0.793845 | + | 0.353443i | −0.763262 | − | 0.646090i | \(-0.776403\pi\) |
−0.0305835 | + | 0.999532i | \(0.509737\pi\) | |||||||
\(710\) | 9327.77 | + | 6777.02i | 0.493049 | + | 0.358221i | ||||
\(711\) | −2796.79 | − | 3106.14i | −0.147521 | − | 0.163839i | ||||
\(712\) | −14978.2 | + | 16635.0i | −0.788387 | + | 0.875592i | ||||
\(713\) | −13986.9 | − | 6227.37i | −0.734661 | − | 0.327092i | ||||
\(714\) | −2636.46 | −0.138189 | ||||||||
\(715\) | −14076.2 | + | 25598.6i | −0.736252 | + | 1.33893i | ||||
\(716\) | −9412.54 | −0.491289 | ||||||||
\(717\) | 9915.34 | + | 4414.59i | 0.516451 | + | 0.229939i | ||||
\(718\) | 1749.32 | − | 1942.81i | 0.0909247 | − | 0.100982i | ||||
\(719\) | 16211.5 | + | 18004.7i | 0.840874 | + | 0.933885i | 0.998562 | − | 0.0536036i | \(-0.0170707\pi\) |
−0.157688 | + | 0.987489i | \(0.550404\pi\) | |||||||
\(720\) | −9018.17 | − | 6552.09i | −0.466788 | − | 0.339141i | ||||
\(721\) | 15051.4 | − | 6701.32i | 0.777454 | − | 0.346145i | ||||
\(722\) | −858.999 | − | 954.015i | −0.0442779 | − | 0.0491756i | ||||
\(723\) | −538.558 | − | 1657.51i | −0.0277029 | − | 0.0852607i | ||||
\(724\) | 2215.06 | + | 21074.9i | 0.113705 | + | 1.08183i | ||||
\(725\) | −19331.4 | − | 33482.9i | −0.990275 | − | 1.71521i | ||||
\(726\) | 1941.55 | + | 3902.96i | 0.0992529 | + | 0.199521i | ||||
\(727\) | −32044.3 | −1.63474 | −0.817371 | − | 0.576111i | \(-0.804570\pi\) | ||||
−0.817371 | + | 0.576111i | \(0.804570\pi\) | |||||||
\(728\) | 3413.84 | + | 8907.16i | 0.173799 | + | 0.453463i | ||||
\(729\) | 4601.55 | + | 14162.1i | 0.233783 | + | 0.719509i | ||||
\(730\) | 9849.05 | − | 2093.48i | 0.499356 | − | 0.106141i | ||||
\(731\) | −1295.39 | + | 12324.8i | −0.0655426 | + | 0.623596i | ||||
\(732\) | 10318.2 | − | 4593.94i | 0.520997 | − | 0.231963i | ||||
\(733\) | 11171.7 | − | 34383.0i | 0.562942 | − | 1.73256i | −0.111046 | − | 0.993815i | \(-0.535420\pi\) |
0.673988 | − | 0.738742i | \(-0.264580\pi\) | |||||||
\(734\) | −8147.79 | − | 1731.87i | −0.409728 | − | 0.0870904i | ||||
\(735\) | −872.881 | − | 8304.91i | −0.0438050 | − | 0.416777i | ||||
\(736\) | −12256.1 | −0.613812 | ||||||||
\(737\) | 19057.2 | + | 4672.37i | 0.952482 | + | 0.233526i | ||||
\(738\) | 2393.16 | + | 4145.08i | 0.119368 | + | 0.206751i | ||||
\(739\) | 16602.4 | + | 7391.89i | 0.826429 | + | 0.367950i | 0.775965 | − | 0.630776i | \(-0.217263\pi\) |
0.0504639 | + | 0.998726i | \(0.483930\pi\) | |||||||
\(740\) | −11956.3 | − | 36797.8i | −0.593950 | − | 1.82799i | ||||
\(741\) | 773.414 | − | 14612.7i | 0.0383429 | − | 0.724439i | ||||
\(742\) | −1981.75 | − | 1439.82i | −0.0980489 | − | 0.0712367i | ||||
\(743\) | −2023.69 | + | 19254.1i | −0.0999220 | + | 0.950694i | 0.823606 | + | 0.567163i | \(0.191959\pi\) |
−0.923528 | + | 0.383531i | \(0.874708\pi\) | |||||||
\(744\) | 9412.52 | − | 2000.69i | 0.463817 | − | 0.0985874i | ||||
\(745\) | −35788.9 | − | 7607.16i | −1.76000 | − | 0.374101i | ||||
\(746\) | 2150.37 | − | 1562.33i | 0.105537 | − | 0.0766771i | ||||
\(747\) | 10368.6 | − | 17959.0i | 0.507856 | − | 0.879632i | ||||
\(748\) | 13603.7 | − | 5558.26i | 0.664974 | − | 0.271698i | ||||
\(749\) | 6866.70 | 0.334985 | ||||||||
\(750\) | −244.759 | − | 2328.73i | −0.0119165 | − | 0.113378i | ||||
\(751\) | −12018.8 | + | 13348.2i | −0.583983 | + | 0.648579i | −0.960647 | − | 0.277771i | \(-0.910404\pi\) |
0.376664 | + | 0.926350i | \(0.377071\pi\) | |||||||
\(752\) | 25631.6 | − | 5448.16i | 1.24293 | − | 0.264194i | ||||
\(753\) | −12754.8 | − | 9266.88i | −0.617277 | − | 0.448478i | ||||
\(754\) | 8026.65 | − | 6492.96i | 0.387683 | − | 0.313607i | ||||
\(755\) | 8767.46 | − | 26983.5i | 0.422623 | − | 1.30070i | ||||
\(756\) | 9775.29 | − | 10856.6i | 0.470269 | − | 0.522287i | ||||
\(757\) | −16478.7 | − | 7336.79i | −0.791187 | − | 0.352259i | −0.0289698 | − | 0.999580i | \(-0.509223\pi\) |
−0.762218 | + | 0.647321i | \(0.775889\pi\) | |||||||
\(758\) | −6654.16 | + | 11525.3i | −0.318852 | + | 0.552268i | ||||
\(759\) | 8176.53 | − | 5561.80i | 0.391027 | − | 0.265982i | ||||
\(760\) | −11105.9 | + | 19236.0i | −0.530070 | + | 0.918108i | ||||
\(761\) | 4228.29 | + | 40229.5i | 0.201413 | + | 1.91632i | 0.367172 | + | 0.930153i | \(0.380326\pi\) |
−0.165759 | + | 0.986166i | \(0.553007\pi\) | |||||||
\(762\) | 329.425 | + | 1013.87i | 0.0156612 | + | 0.0482001i | ||||
\(763\) | 14097.2 | + | 15656.5i | 0.668877 | + | 0.742863i | ||||
\(764\) | −2137.10 | + | 20333.1i | −0.101201 | + | 0.962861i | ||||
\(765\) | −1533.36 | + | 14589.0i | −0.0724692 | + | 0.689498i | ||||
\(766\) | 263.906 | − | 812.220i | 0.0124482 | − | 0.0383116i | ||||
\(767\) | 25538.8 | − | 1325.15i | 1.20228 | − | 0.0623840i | ||||
\(768\) | −593.883 | + | 431.482i | −0.0279035 | + | 0.0202731i | ||||
\(769\) | −1701.72 | − | 2947.46i | −0.0797990 | − | 0.138216i | 0.823364 | − | 0.567513i | \(-0.192095\pi\) |
−0.903163 | + | 0.429298i | \(0.858761\pi\) | |||||||
\(770\) | 3973.46 | + | 7402.98i | 0.185966 | + | 0.346474i | ||||
\(771\) | 734.691 | − | 1272.52i | 0.0343181 | − | 0.0594407i | ||||
\(772\) | −18052.5 | + | 13115.9i | −0.841610 | + | 0.611466i | ||||
\(773\) | −6546.39 | − | 1391.48i | −0.304602 | − | 0.0647452i | 0.0530750 | − | 0.998591i | \(-0.483098\pi\) |
−0.357677 | + | 0.933845i | \(0.616431\pi\) | |||||||
\(774\) | 2100.76 | + | 2333.13i | 0.0975585 | + | 0.108350i | ||||
\(775\) | 26271.2 | + | 19087.2i | 1.21766 | + | 0.884685i | ||||
\(776\) | 4734.32 | − | 2107.86i | 0.219011 | − | 0.0975099i | ||||
\(777\) | 15254.6 | − | 3242.47i | 0.704319 | − | 0.149708i | ||||
\(778\) | 5230.27 | − | 5808.80i | 0.241021 | − | 0.267681i | ||||
\(779\) | −24398.9 | + | 17726.8i | −1.12218 | + | 0.815314i | ||||
\(780\) | −18914.9 | + | 5057.72i | −0.868285 | + | 0.232174i | ||||
\(781\) | 8764.29 | − | 24376.0i | 0.401551 | − | 1.11683i | ||||
\(782\) | 2122.18 | + | 3675.72i | 0.0970447 | + | 0.168086i | ||||
\(783\) | −30727.7 | − | 13680.8i | −1.40245 | − | 0.624410i | ||||
\(784\) | 5985.25 | + | 1272.20i | 0.272652 | + | 0.0579539i | ||||
\(785\) | −8404.42 | + | 25866.1i | −0.382123 | + | 1.17605i | ||||
\(786\) | 2646.74 | − | 1178.40i | 0.120109 | − | 0.0534761i | ||||
\(787\) | −8491.22 | + | 3780.53i | −0.384599 | + | 0.171234i | −0.589923 | − | 0.807460i | \(-0.700842\pi\) |
0.205324 | + | 0.978694i | \(0.434175\pi\) | |||||||
\(788\) | −2727.62 | + | 8394.76i | −0.123309 | + | 0.379506i | ||||
\(789\) | 2133.93 | + | 453.582i | 0.0962865 | + | 0.0204663i | ||||
\(790\) | 4098.68 | + | 1824.85i | 0.184588 | + | 0.0821839i | ||||
\(791\) | 641.724 | + | 1111.50i | 0.0288459 | + | 0.0499625i | ||||
\(792\) | 2679.60 | − | 7452.72i | 0.120221 | − | 0.334370i | ||||
\(793\) | −5614.58 | + | 20910.5i | −0.251425 | + | 0.936387i | ||||
\(794\) | 8340.54 | − | 6059.76i | 0.372789 | − | 0.270847i | ||||
\(795\) | 7157.03 | − | 7948.69i | 0.319288 | − | 0.354605i | ||||
\(796\) | −9236.65 | + | 1963.31i | −0.411287 | + | 0.0874218i | ||||
\(797\) | −1039.28 | + | 462.719i | −0.0461899 | + | 0.0205651i | −0.429702 | − | 0.902971i | \(-0.641381\pi\) |
0.383512 | + | 0.923536i | \(0.374715\pi\) | |||||||
\(798\) | −3404.79 | − | 2473.72i | −0.151038 | − | 0.109735i | ||||
\(799\) | −23074.5 | − | 25626.8i | −1.02167 | − | 1.13468i | ||||
\(800\) | 25426.6 | + | 5404.58i | 1.12371 | + | 0.238851i | ||||
\(801\) | −19091.7 | + | 13870.9i | −0.842162 | + | 0.611866i | ||||
\(802\) | 2066.39 | − | 3579.10i | 0.0909812 | − | 0.157584i | ||||
\(803\) | −10698.5 | − | 19932.4i | −0.470162 | − | 0.875962i | ||||
\(804\) | 6575.37 | + | 11388.9i | 0.288427 | + | 0.499570i | ||||
\(805\) | 15419.7 | − | 11203.0i | 0.675120 | − | 0.490503i | ||||
\(806\) | −3940.65 | + | 7724.05i | −0.172213 | + | 0.337554i | ||||
\(807\) | −1088.85 | + | 3351.13i | −0.0474960 | + | 0.146178i | ||||
\(808\) | −774.978 | + | 7373.42i | −0.0337421 | + | 0.321035i | ||||
\(809\) | 3034.56 | − | 28872.0i | 0.131878 | − | 1.25474i | −0.705735 | − | 0.708476i | \(-0.749383\pi\) |
0.837614 | − | 0.546263i | \(-0.183950\pi\) | |||||||
\(810\) | −996.246 | − | 1106.44i | −0.0432155 | − | 0.0479956i | ||||
\(811\) | 1361.59 | + | 4190.53i | 0.0589541 | + | 0.181442i | 0.976197 | − | 0.216887i | \(-0.0695903\pi\) |
−0.917243 | + | 0.398329i | \(0.869590\pi\) | |||||||
\(812\) | 2437.74 | + | 23193.5i | 0.105354 | + | 1.00238i | ||||
\(813\) | 7100.30 | − | 12298.1i | 0.306296 | − | 0.530520i | ||||
\(814\) | 9151.08 | − | 6224.71i | 0.394036 | − | 0.268029i | ||||
\(815\) | 8124.81 | − | 14072.6i | 0.349202 | − | 0.604836i | ||||
\(816\) | 7706.20 | + | 3431.02i | 0.330602 | + | 0.147193i | ||||
\(817\) | −13236.9 | + | 14701.1i | −0.566831 | + | 0.629530i | ||||
\(818\) | 3899.82 | − | 12002.4i | 0.166692 | − | 0.513025i | ||||
\(819\) | 1568.01 | + | 9933.33i | 0.0668994 | + | 0.423808i | ||||
\(820\) | 32646.2 | + | 23718.9i | 1.39031 | + | 1.01012i | ||||
\(821\) | 12223.6 | − | 2598.21i | 0.519619 | − | 0.110449i | 0.0593663 | − | 0.998236i | \(-0.481092\pi\) |
0.460253 | + | 0.887788i | \(0.347759\pi\) | |||||||
\(822\) | −923.750 | + | 1025.93i | −0.0391964 | + | 0.0435320i | ||||
\(823\) | −3440.36 | − | 32732.8i | −0.145715 | − | 1.38639i | −0.785990 | − | 0.618239i | \(-0.787846\pi\) |
0.640275 | − | 0.768146i | \(-0.278820\pi\) | |||||||
\(824\) | 16670.5 | 0.704786 | ||||||||
\(825\) | −19415.7 | + | 7932.94i | −0.819354 | + | 0.334775i | ||||
\(826\) | 3677.47 | − | 6369.56i | 0.154910 | − | 0.268312i | ||||
\(827\) | 13943.9 | − | 10130.9i | 0.586310 | − | 0.425979i | −0.254684 | − | 0.967024i | \(-0.581971\pi\) |
0.840993 | + | 0.541046i | \(0.181971\pi\) | |||||||
\(828\) | −8260.84 | − | 1755.90i | −0.346720 | − | 0.0736976i | ||||
\(829\) | −34845.5 | + | 7406.64i | −1.45987 | + | 0.310306i | −0.868338 | − | 0.495973i | \(-0.834811\pi\) |
−0.591536 | + | 0.806279i | \(0.701478\pi\) | |||||||
\(830\) | −2326.76 | + | 22137.7i | −0.0973049 | + | 0.925794i | ||||
\(831\) | −5397.18 | − | 3921.28i | −0.225302 | − | 0.163692i | ||||
\(832\) | 487.957 | − | 9219.33i | 0.0203328 | − | 0.384162i | ||||
\(833\) | −2488.34 | − | 7658.34i | −0.103501 | − | 0.318542i | ||||
\(834\) | 2210.05 | + | 983.978i | 0.0917599 | + | 0.0408542i | ||||
\(835\) | −26478.6 | − | 45862.3i | −1.09740 | − | 1.90076i | ||||
\(836\) | 22783.3 | + | 5585.93i | 0.942556 | + | 0.231093i | ||||
\(837\) | 28250.7 | 1.16665 | ||||||||
\(838\) | −893.397 | − | 8500.10i | −0.0368280 | − | 0.350395i | ||||
\(839\) | 8598.16 | + | 1827.59i | 0.353804 | + | 0.0752033i | 0.381385 | − | 0.924416i | \(-0.375447\pi\) |
−0.0275814 | + | 0.999620i | \(0.508781\pi\) | |||||||
\(840\) | −3701.78 | + | 11392.9i | −0.152052 | + | 0.467967i | ||||
\(841\) | 26772.3 | − | 11919.8i | 1.09772 | − | 0.488736i | ||||
\(842\) | 281.326 | − | 2676.63i | 0.0115144 | − | 0.109552i | ||||
\(843\) | −7778.34 | + | 1653.34i | −0.317794 | + | 0.0675492i | ||||
\(844\) | 1511.15 | + | 4650.85i | 0.0616304 | + | 0.189679i | ||||
\(845\) | 15301.5 | − | 34272.0i | 0.622943 | − | 1.39526i | ||||
\(846\) | −8736.17 | −0.355030 | ||||||||
\(847\) | 13475.6 | − | 13218.5i | 0.546666 | − | 0.536239i | ||||
\(848\) | 3918.77 | + | 6787.51i | 0.158692 | + | 0.274863i | ||||
\(849\) | 2124.10 | + | 20209.5i | 0.0858645 | + | 0.816946i | ||||
\(850\) | −2781.80 | − | 8561.49i | −0.112253 | − | 0.345479i | ||||
\(851\) | −16799.6 | − | 18657.8i | −0.676712 | − | 0.751564i | ||||
\(852\) | 15860.2 | − | 7061.40i | 0.637747 | − | 0.283943i | ||||
\(853\) | −8020.61 | − | 5827.31i | −0.321947 | − | 0.233908i | 0.415059 | − | 0.909794i | \(-0.363761\pi\) |
−0.737006 | + | 0.675887i | \(0.763761\pi\) | |||||||
\(854\) | 4166.66 | + | 4627.55i | 0.166956 | + | 0.185423i | ||||
\(855\) | −15668.7 | + | 17401.8i | −0.626734 | + | 0.696059i | ||||
\(856\) | 6347.16 | + | 2825.94i | 0.253436 | + | 0.112837i | ||||
\(857\) | −12603.2 | −0.502353 | −0.251176 | − | 0.967941i | \(-0.580817\pi\) | ||||
−0.251176 | + | 0.967941i | \(0.580817\pi\) | |||||||
\(858\) | −2900.79 | − | 4790.82i | −0.115421 | − | 0.190625i | ||||
\(859\) | 18001.8 | 0.715035 | 0.357517 | − | 0.933906i | \(-0.383623\pi\) | ||||
0.357517 | + | 0.933906i | \(0.383623\pi\) | |||||||
\(860\) | 24180.7 | + | 10766.0i | 0.958786 | + | 0.426879i | ||||
\(861\) | −10883.5 | + | 12087.3i | −0.430787 | + | 0.478438i | ||||
\(862\) | 5595.53 | + | 6214.47i | 0.221096 | + | 0.245552i | ||||
\(863\) | −3848.25 | − | 2795.91i | −0.151791 | − | 0.110283i | 0.509297 | − | 0.860591i | \(-0.329905\pi\) |
−0.661089 | + | 0.750308i | \(0.729905\pi\) | |||||||
\(864\) | 20659.5 | − | 9198.20i | 0.813484 | − | 0.362187i | ||||
\(865\) | 22517.7 | + | 25008.5i | 0.885117 | + | 0.983022i | ||||
\(866\) | −486.326 | − | 1496.76i | −0.0190832 | − | 0.0587320i | ||||
\(867\) | 609.104 | + | 5795.24i | 0.0238596 | + | 0.227009i | ||||
\(868\) | −9793.82 | − | 16963.4i | −0.382977 | − | 0.663336i | ||||
\(869\) | 1363.79 | − | 9987.20i | 0.0532374 | − | 0.389865i | ||||
\(870\) | 12965.1 | 0.505239 | ||||||||
\(871\) | −24896.8 | − | 3956.50i | −0.968539 | − | 0.153916i | ||||
\(872\) | 6587.27 | + | 20273.5i | 0.255818 | + | 0.787326i | ||||
\(873\) | 5344.05 | − | 1135.91i | 0.207181 | − | 0.0440376i | ||||
\(874\) | −708.202 | + | 6738.09i | −0.0274088 | + | 0.260777i | ||||
\(875\) | −9262.92 | + | 4124.12i | −0.357879 | + | 0.159338i | ||||
\(876\) | 4685.22 | − | 14419.6i | 0.180706 | − | 0.556157i | ||||
\(877\) | 11029.2 | + | 2344.34i | 0.424665 | + | 0.0902653i | 0.415286 | − | 0.909691i | \(-0.363681\pi\) |
0.00937849 | + | 0.999956i | \(0.497015\pi\) | |||||||
\(878\) | 18.5412 | + | 176.408i | 0.000712682 | + | 0.00678071i | ||||
\(879\) | 20230.6 | 0.776295 | ||||||||
\(880\) | −1980.12 | − | 26809.4i | −0.0758520 | − | 1.02698i | ||||
\(881\) | 8321.38 | + | 14413.1i | 0.318223 | + | 0.551178i | 0.980117 | − | 0.198419i | \(-0.0635806\pi\) |
−0.661894 | + | 0.749597i | \(0.730247\pi\) | |||||||
\(882\) | −1863.62 | − | 829.739i | −0.0711468 | − | 0.0316766i | ||||
\(883\) | 10430.1 | + | 32100.7i | 0.397511 | + | 1.22341i | 0.926989 | + | 0.375089i | \(0.122388\pi\) |
−0.529478 | + | 0.848324i | \(0.677612\pi\) | |||||||
\(884\) | −16826.9 | + | 8562.73i | −0.640213 | + | 0.325787i | ||||
\(885\) | 25981.7 | + | 18876.8i | 0.986854 | + | 0.716991i | ||||
\(886\) | 75.0951 | − | 714.482i | 0.00284748 | − | 0.0270920i | ||||
\(887\) | −45220.3 | + | 9611.88i | −1.71178 | + | 0.363850i | −0.956541 | − | 0.291598i | \(-0.905813\pi\) |
−0.755240 | + | 0.655448i | \(0.772480\pi\) | |||||||
\(888\) | 15434.8 | + | 3280.78i | 0.583287 | + | 0.123982i | ||||
\(889\) | 3734.61 | − | 2713.35i | 0.140894 | − | 0.102365i | ||||
\(890\) | 12665.5 | − | 21937.3i | 0.477021 | − | 0.826224i | ||||
\(891\) | −1761.47 | + | 2843.64i | −0.0662307 | + | 0.106920i | ||||
\(892\) | −16966.2 | −0.636851 | ||||||||
\(893\) | −5753.95 | − | 54745.2i | −0.215620 | − | 2.05149i | ||||
\(894\) | 4693.58 | − | 5212.75i | 0.175589 | − | 0.195012i | ||||
\(895\) | 22164.0 | − | 4711.10i | 0.827777 | − | 0.175949i | ||||
\(896\) | −16448.5 | − | 11950.5i | −0.613287 | − | 0.445579i | ||||
\(897\) | −9877.71 | + | 7990.34i | −0.367678 | + | 0.297424i | ||||
\(898\) | −1318.37 | + | 4057.52i | −0.0489916 | + | 0.150781i | ||||
\(899\) | −30176.8 | + | 33514.8i | −1.11953 | + | 1.24336i | ||||
\(900\) | 16363.7 | + | 7285.59i | 0.606063 | + | 0.269837i | ||||
\(901\) | 5157.03 | − | 8932.24i | 0.190683 | − | 0.330273i | ||||
\(902\) | −3905.39 | + | 10862.0i | −0.144163 | + | 0.400959i | ||||
\(903\) | −5334.46 | + | 9239.55i | −0.196589 | + | 0.340502i | ||||
\(904\) | 135.742 | + | 1291.50i | 0.00499415 | + | 0.0475161i | ||||
\(905\) | −15764.1 | − | 48517.1i | −0.579025 | − | 1.78206i | ||||
\(906\) | 3639.59 | + | 4042.17i | 0.133463 | + | 0.148225i | ||||
\(907\) | 1465.94 | − | 13947.5i | 0.0536668 | − | 0.510606i | −0.934361 | − | 0.356328i | \(-0.884028\pi\) |
0.988028 | − | 0.154277i | \(-0.0493049\pi\) | |||||||
\(908\) | −746.076 | + | 7098.44i | −0.0272681 | + | 0.259438i | ||||
\(909\) | −2415.32 | + | 7433.60i | −0.0881312 | + | 0.271240i | ||||
\(910\) | −5874.45 | − | 9056.13i | −0.213996 | − | 0.329899i | ||||
\(911\) | −21897.6 | + | 15909.5i | −0.796377 | + | 0.578602i | −0.909849 | − | 0.414939i | \(-0.863803\pi\) |
0.113472 | + | 0.993541i | \(0.463803\pi\) | |||||||
\(912\) | 6732.73 | + | 11661.4i | 0.244455 | + | 0.423408i | ||||
\(913\) | 49216.1 | − | 8876.79i | 1.78403 | − | 0.321773i | ||||
\(914\) | 5.77108 | − | 9.99581i | 0.000208852 | − | 0.000361742i | ||||
\(915\) | −21997.1 | + | 15981.9i | −0.794757 | + | 0.577425i | ||||
\(916\) | 38114.0 | + | 8101.38i | 1.37481 | + | 0.292224i | ||||
\(917\) | −8394.68 | − | 9323.24i | −0.302308 | − | 0.335748i | ||||
\(918\) | −6335.89 | − | 4603.29i | −0.227795 | − | 0.165502i | ||||
\(919\) | 5526.45 | − | 2460.53i | 0.198369 | − | 0.0883194i | −0.305148 | − | 0.952305i | \(-0.598706\pi\) |
0.503517 | + | 0.863986i | \(0.332039\pi\) | |||||||
\(920\) | 18863.5 | − | 4009.56i | 0.675991 | − | 0.143686i | ||||
\(921\) | −3693.65 | + | 4102.21i | −0.132150 | + | 0.146767i | ||||
\(922\) | −13211.4 | + | 9598.64i | −0.471902 | + | 0.342857i | ||||
\(923\) | −8630.25 | + | 32141.9i | −0.307766 | + | 1.14622i | ||||
\(924\) | 12645.3 | + | 392.059i | 0.450215 | + | 0.0139586i | ||||
\(925\) | 26624.9 | + | 46115.7i | 0.946402 | + | 1.63922i | ||||
\(926\) | −5252.75 | − | 2338.67i | −0.186410 | − | 0.0829952i | ||||
\(927\) | 17190.6 | + | 3653.97i | 0.609076 | + | 0.129463i | ||||
\(928\) | −11155.9 | + | 34334.4i | −0.394624 | + | 1.21453i | ||||
\(929\) | 19907.2 | − | 8863.25i | 0.703050 | − | 0.313018i | −0.0238942 | − | 0.999714i | \(-0.507606\pi\) |
0.726944 | + | 0.686696i | \(0.240940\pi\) | |||||||
\(930\) | −9948.00 | + | 4429.14i | −0.350761 | + | 0.156169i | ||||
\(931\) | 3972.11 | − | 12224.9i | 0.139829 | − | 0.430349i | ||||
\(932\) | −25624.2 | − | 5446.60i | −0.900590 | − | 0.191426i | ||||
\(933\) | −8369.29 | − | 3726.25i | −0.293674 | − | 0.130752i | ||||
\(934\) | −4477.28 | − | 7754.88i | −0.156854 | − | 0.271678i | ||||
\(935\) | −29251.1 | + | 19897.0i | −1.02311 | + | 0.695938i | ||||
\(936\) | −2638.62 | + | 9827.06i | −0.0921430 | + | 0.343171i | ||||
\(937\) | −19077.1 | + | 13860.3i | −0.665124 | + | 0.483241i | −0.868389 | − | 0.495883i | \(-0.834845\pi\) |
0.203266 | + | 0.979124i | \(0.434845\pi\) | |||||||
\(938\) | −4851.39 | + | 5388.01i | −0.168874 | + | 0.187553i | ||||
\(939\) | 8333.39 | − | 1771.32i | 0.289616 | − | 0.0615599i | ||||
\(940\) | −67286.0 | + | 29957.7i | −2.33471 | + | 1.03948i | ||||
\(941\) | 8989.51 | + | 6531.26i | 0.311424 | + | 0.226263i | 0.732507 | − | 0.680759i | \(-0.238350\pi\) |
−0.421083 | + | 0.907022i | \(0.638350\pi\) | |||||||
\(942\) | −3488.88 | − | 3874.79i | −0.120673 | − | 0.134021i | ||||
\(943\) | 25612.5 | + | 5444.10i | 0.884472 | + | 0.188000i | ||||
\(944\) | −19038.2 | + | 13832.1i | −0.656398 | + | 0.476901i | ||||
\(945\) | −17584.3 | + | 30456.9i | −0.605309 | + | 1.04843i | ||||
\(946\) | −1024.39 | + | 7501.72i | −0.0352069 | + | 0.257825i | ||||
\(947\) | −2527.74 | − | 4378.18i | −0.0867377 | − | 0.150234i | 0.819393 | − | 0.573233i | \(-0.194311\pi\) |
−0.906130 | + | 0.422999i | \(0.860978\pi\) | |||||||
\(948\) | 5465.49 | − | 3970.91i | 0.187248 | − | 0.136043i | ||||
\(949\) | 15816.8 | + | 24383.4i | 0.541028 | + | 0.834057i | ||||
\(950\) | 4440.54 | − | 13666.6i | 0.151653 | − | 0.466740i | ||||
\(951\) | 2888.31 | − | 27480.4i | 0.0984856 | − | 0.937028i | ||||
\(952\) | −1207.45 | + | 11488.1i | −0.0411069 | + | 0.391106i | ||||
\(953\) | 671.545 | + | 745.826i | 0.0228263 | + | 0.0253512i | 0.754450 | − | 0.656358i | \(-0.227904\pi\) |
−0.731624 | + | 0.681709i | \(0.761237\pi\) | |||||||
\(954\) | −807.444 | − | 2485.06i | −0.0274025 | − | 0.0843362i | ||||
\(955\) | −5144.70 | − | 48948.6i | −0.174323 | − | 1.65858i | ||||
\(956\) | 11177.1 | − | 19359.3i | 0.378131 | − | 0.654942i | ||||
\(957\) | −8138.37 | − | 27968.4i | −0.274897 | − | 0.944714i | ||||
\(958\) | 273.774 | − | 474.191i | 0.00923303 | − | 0.0159921i | ||||
\(959\) | 5461.18 | + | 2431.47i | 0.183890 | + | 0.0818732i | ||||
\(960\) | 7757.90 | − | 8616.02i | 0.260818 | − | 0.289668i | ||||
\(961\) | 2499.17 | − | 7691.67i | 0.0838902 | − | 0.258188i | ||||
\(962\) | −11055.0 | + | 8942.70i | −0.370508 | + | 0.299713i | ||||
\(963\) | 5925.77 | + | 4305.33i | 0.198292 | + | 0.144068i | ||||
\(964\) | −3511.04 | + | 746.294i | −0.117306 | + | 0.0249342i | ||||
\(965\) | 35944.0 | − | 39919.9i | 1.19905 | − | 1.33168i | ||||
\(966\) | 381.946 | + | 3633.97i | 0.0127214 | + | 0.121036i | ||||
\(967\) | −1922.76 | −0.0639417 | −0.0319709 | − | 0.999489i | \(-0.510178\pi\) | ||||
−0.0319709 | + | 0.999489i | \(0.510178\pi\) | |||||||
\(968\) | 17896.0 | − | 6672.63i | 0.594214 | − | 0.221556i | ||||
\(969\) | 8860.15 | − | 15346.2i | 0.293735 | − | 0.508764i | ||||
\(970\) | −4744.49 | + | 3447.07i | −0.157048 | + | 0.114102i | ||||
\(971\) | 14520.6 | + | 3086.46i | 0.479907 | + | 0.102007i | 0.441512 | − | 0.897255i | \(-0.354442\pi\) |
0.0383946 | + | 0.999263i | \(0.487776\pi\) | |||||||
\(972\) | 25011.8 | − | 5316.43i | 0.825365 | − | 0.175437i | ||||
\(973\) | 1095.01 | − | 10418.4i | 0.0360787 | − | 0.343266i | ||||
\(974\) | −5044.83 | − | 3665.28i | −0.165962 | − | 0.120578i | ||||
\(975\) | 24015.9 | − | 12221.0i | 0.788845 | − | 0.401422i | ||||
\(976\) | −6156.71 | − | 18948.4i | −0.201917 | − | 0.621438i | ||||
\(977\) | 35321.2 | + | 15726.0i | 1.15663 | + | 0.514964i | 0.893176 | − | 0.449708i | \(-0.148472\pi\) |
0.263453 | + | 0.964672i | \(0.415139\pi\) | |||||||
\(978\) | 1557.63 | + | 2697.89i | 0.0509278 | + | 0.0882095i | ||||
\(979\) | −55273.6 | − | 13551.8i | −1.80445 | − | 0.442408i | ||||
\(980\) | −17198.9 | −0.560613 | ||||||||
\(981\) | 2349.07 | + | 22349.9i | 0.0764526 | + | 0.727398i | ||||
\(982\) | 4250.54 | + | 903.480i | 0.138126 | + | 0.0293597i | ||||
\(983\) | −1485.22 | + | 4571.04i | −0.0481904 | + | 0.148315i | −0.972256 | − | 0.233919i | \(-0.924845\pi\) |
0.924066 | + | 0.382234i | \(0.124845\pi\) | |||||||
\(984\) | −15034.5 | + | 6693.78i | −0.487075 | + | 0.216860i | ||||
\(985\) | 2221.12 | − | 21132.6i | 0.0718486 | − | 0.683594i | ||||
\(986\) | 12228.9 | − | 2599.34i | 0.394978 | − | 0.0839551i | ||||
\(987\) | −9173.99 | − | 28234.6i | −0.295857 | − | 0.910555i | ||||
\(988\) | −29764.8 | − | 4730.10i | −0.958445 | − | 0.152312i | ||||
\(989\) | 17175.6 | 0.552225 | ||||||||
\(990\) | −1212.58 | + | 8879.87i | −0.0389275 | + | 0.285071i | ||||
\(991\) | −283.864 | − | 491.666i | −0.00909912 | − | 0.0157601i | 0.861440 | − | 0.507859i | \(-0.169563\pi\) |
−0.870539 | + | 0.492099i | \(0.836230\pi\) | |||||||
\(992\) | −3169.48 | − | 30155.6i | −0.101443 | − | 0.965162i | ||||
\(993\) | 1130.03 | + | 3477.87i | 0.0361132 | + | 0.111145i | ||||
\(994\) | 6404.63 | + | 7113.06i | 0.204369 | + | 0.226974i | ||||
\(995\) | 20767.2 | − | 9246.13i | 0.661671 | − | 0.294595i | ||||
\(996\) | 27116.4 | + | 19701.2i | 0.862667 | + | 0.626765i | ||||
\(997\) | 23170.3 | + | 25733.3i | 0.736020 | + | 0.817433i | 0.988667 | − | 0.150125i | \(-0.0479677\pi\) |
−0.252647 | + | 0.967559i | \(0.581301\pi\) | |||||||
\(998\) | 3188.62 | − | 3541.32i | 0.101136 | − | 0.112323i | ||||
\(999\) | 42320.9 | + | 18842.5i | 1.34032 | + | 0.596747i |
(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 | 143.4.q.a.3.18 | ✓ | 320 | |
11.4 | even | 5 | inner | 143.4.q.a.81.23 | yes | 320 | |
13.9 | even | 3 | inner | 143.4.q.a.113.23 | yes | 320 | |
143.48 | even | 15 | inner | 143.4.q.a.48.18 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.q.a.3.18 | ✓ | 320 | 1.1 | even | 1 | trivial | |
143.4.q.a.48.18 | yes | 320 | 143.48 | even | 15 | inner | |
143.4.q.a.81.23 | yes | 320 | 11.4 | even | 5 | inner | |
143.4.q.a.113.23 | yes | 320 | 13.9 | even | 3 | inner |