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 | 4.4 | ||
Character | \(\chi\) | \(=\) | 69.4 |
Dual form | 69.4.e.b.52.4 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.675509 | + | 1.47916i | 0.238828 | + | 0.522961i | 0.990654 | − | 0.136401i | \(-0.0435536\pi\) |
−0.751825 | + | 0.659362i | \(0.770826\pi\) | |||||||
\(3\) | 2.87848 | − | 0.845198i | 0.553964 | − | 0.162658i | ||||
\(4\) | 3.50729 | − | 4.04763i | 0.438411 | − | 0.505953i | ||||
\(5\) | 3.16001 | + | 2.03082i | 0.282640 | + | 0.181642i | 0.674278 | − | 0.738478i | \(-0.264455\pi\) |
−0.391638 | + | 0.920119i | \(0.628091\pi\) | |||||||
\(6\) | 3.19462 | + | 3.68679i | 0.217366 | + | 0.250854i | ||||
\(7\) | −2.13282 | − | 14.8341i | −0.115162 | − | 0.800967i | −0.962766 | − | 0.270338i | \(-0.912865\pi\) |
0.847604 | − | 0.530630i | \(-0.178044\pi\) | |||||||
\(8\) | 20.8382 | + | 6.11864i | 0.920926 | + | 0.270408i | ||||
\(9\) | 7.57128 | − | 4.86577i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.869282 | + | 6.04599i | −0.0274891 | + | 0.191191i | ||||
\(11\) | −2.77582 | + | 6.07820i | −0.0760856 | + | 0.166604i | −0.943852 | − | 0.330367i | \(-0.892827\pi\) |
0.867767 | + | 0.496972i | \(0.165555\pi\) | |||||||
\(12\) | 6.67461 | − | 14.6154i | 0.160566 | − | 0.351591i | ||||
\(13\) | −4.29047 | + | 29.8409i | −0.0915356 | + | 0.636644i | 0.891472 | + | 0.453077i | \(0.149674\pi\) |
−0.983007 | + | 0.183567i | \(0.941235\pi\) | |||||||
\(14\) | 20.5013 | − | 13.1754i | 0.391371 | − | 0.251519i | ||||
\(15\) | 10.8125 | + | 3.17483i | 0.186118 | + | 0.0546491i | ||||
\(16\) | −1.07172 | − | 7.45394i | −0.0167456 | − | 0.116468i | ||||
\(17\) | 50.4797 | + | 58.2566i | 0.720183 | + | 0.831136i | 0.991329 | − | 0.131402i | \(-0.0419480\pi\) |
−0.271146 | + | 0.962538i | \(0.587403\pi\) | |||||||
\(18\) | 12.3117 | + | 7.91225i | 0.161217 | + | 0.103608i | ||||
\(19\) | −49.3946 | + | 57.0044i | −0.596416 | + | 0.688300i | −0.971051 | − | 0.238872i | \(-0.923222\pi\) |
0.374636 | + | 0.927172i | \(0.377768\pi\) | |||||||
\(20\) | 19.3031 | − | 5.66789i | 0.215815 | − | 0.0633689i | ||||
\(21\) | −18.6771 | − | 40.8971i | −0.194079 | − | 0.424975i | ||||
\(22\) | −10.8657 | −0.105299 | ||||||||
\(23\) | −109.016 | − | 16.8080i | −0.988322 | − | 0.152379i | ||||
\(24\) | 65.1537 | 0.554144 | ||||||||
\(25\) | −46.0654 | − | 100.869i | −0.368523 | − | 0.806954i | ||||
\(26\) | −47.0376 | + | 13.8115i | −0.354801 | + | 0.104179i | ||||
\(27\) | 17.6812 | − | 20.4052i | 0.126028 | − | 0.145444i | ||||
\(28\) | −67.5234 | − | 43.3947i | −0.455740 | − | 0.292887i | ||||
\(29\) | −21.2022 | − | 24.4686i | −0.135764 | − | 0.156680i | 0.683797 | − | 0.729673i | \(-0.260328\pi\) |
−0.819560 | + | 0.572993i | \(0.805782\pi\) | |||||||
\(30\) | 2.60785 | + | 18.1380i | 0.0158708 | + | 0.110384i | ||||
\(31\) | −173.693 | − | 51.0010i | −1.00633 | − | 0.295485i | −0.263279 | − | 0.964720i | \(-0.584804\pi\) |
−0.743051 | + | 0.669234i | \(0.766622\pi\) | |||||||
\(32\) | 156.464 | − | 100.553i | 0.864348 | − | 0.555483i | ||||
\(33\) | −2.85286 | + | 19.8421i | −0.0150491 | + | 0.104669i | ||||
\(34\) | −52.0713 | + | 114.020i | −0.262652 | + | 0.575127i | ||||
\(35\) | 23.3856 | − | 51.2074i | 0.112940 | − | 0.247303i | ||||
\(36\) | 6.85986 | − | 47.7114i | 0.0317586 | − | 0.220886i | ||||
\(37\) | −246.568 | + | 158.460i | −1.09555 | + | 0.704070i | −0.958099 | − | 0.286437i | \(-0.907529\pi\) |
−0.137456 | + | 0.990508i | \(0.543893\pi\) | |||||||
\(38\) | −117.685 | − | 34.5554i | −0.502395 | − | 0.147517i | ||||
\(39\) | 12.8714 | + | 89.5226i | 0.0528481 | + | 0.367567i | ||||
\(40\) | 53.4230 | + | 61.6535i | 0.211173 | + | 0.243707i | ||||
\(41\) | 45.6255 | + | 29.3217i | 0.173793 | + | 0.111690i | 0.624645 | − | 0.780909i | \(-0.285244\pi\) |
−0.450852 | + | 0.892599i | \(0.648880\pi\) | |||||||
\(42\) | 47.8767 | − | 55.2526i | 0.175894 | − | 0.202992i | ||||
\(43\) | −163.488 | + | 48.0043i | −0.579805 | + | 0.170246i | −0.558468 | − | 0.829526i | \(-0.688611\pi\) |
−0.0213374 | + | 0.999772i | \(0.506792\pi\) | |||||||
\(44\) | 14.8667 | + | 32.5535i | 0.0509372 | + | 0.111537i | ||||
\(45\) | 33.8068 | 0.111992 | ||||||||
\(46\) | −48.7796 | − | 172.606i | −0.156351 | − | 0.553247i | ||||
\(47\) | 219.775 | 0.682073 | 0.341037 | − | 0.940050i | \(-0.389222\pi\) | ||||
0.341037 | + | 0.940050i | \(0.389222\pi\) | |||||||
\(48\) | −9.38497 | − | 20.5502i | −0.0282209 | − | 0.0617952i | ||||
\(49\) | 113.604 | − | 33.3571i | 0.331206 | − | 0.0972510i | ||||
\(50\) | 118.084 | − | 136.276i | 0.333992 | − | 0.385447i | ||||
\(51\) | 194.543 | + | 125.025i | 0.534146 | + | 0.343275i | ||||
\(52\) | 105.737 | + | 122.027i | 0.281982 | + | 0.325425i | ||||
\(53\) | 38.3754 | + | 266.907i | 0.0994578 | + | 0.691744i | 0.977155 | + | 0.212528i | \(0.0681698\pi\) |
−0.877697 | + | 0.479216i | \(0.840921\pi\) | |||||||
\(54\) | 42.1264 | + | 12.3694i | 0.106161 | + | 0.0311716i | ||||
\(55\) | −21.1153 | + | 13.5700i | −0.0517671 | + | 0.0332687i | ||||
\(56\) | 46.3205 | − | 322.166i | 0.110533 | − | 0.768773i | ||||
\(57\) | −94.0013 | + | 205.834i | −0.218435 | + | 0.478305i | ||||
\(58\) | 21.8707 | − | 47.8901i | 0.0495131 | − | 0.108419i | ||||
\(59\) | −38.5345 | + | 268.013i | −0.0850298 | + | 0.591396i | 0.902106 | + | 0.431514i | \(0.142020\pi\) |
−0.987136 | + | 0.159882i | \(0.948889\pi\) | |||||||
\(60\) | 50.7729 | − | 32.6298i | 0.109246 | − | 0.0702081i | ||||
\(61\) | 401.592 | + | 117.918i | 0.842927 | + | 0.247506i | 0.674561 | − | 0.738219i | \(-0.264333\pi\) |
0.168366 | + | 0.985725i | \(0.446151\pi\) | |||||||
\(62\) | −41.8929 | − | 291.372i | −0.0858130 | − | 0.596842i | ||||
\(63\) | −88.3276 | − | 101.936i | −0.176639 | − | 0.203852i | ||||
\(64\) | 203.746 | + | 130.939i | 0.397941 | + | 0.255741i | ||||
\(65\) | −74.1592 | + | 85.5843i | −0.141513 | + | 0.163314i | ||||
\(66\) | −31.2767 | + | 9.18368i | −0.0583318 | + | 0.0171278i | ||||
\(67\) | −5.99915 | − | 13.1363i | −0.0109390 | − | 0.0239531i | 0.904084 | − | 0.427356i | \(-0.140555\pi\) |
−0.915023 | + | 0.403402i | \(0.867827\pi\) | |||||||
\(68\) | 412.848 | 0.736252 | ||||||||
\(69\) | −328.006 | + | 43.7586i | −0.572280 | + | 0.0763467i | ||||
\(70\) | 91.5410 | 0.156303 | ||||||||
\(71\) | 130.747 | + | 286.295i | 0.218546 | + | 0.478549i | 0.986871 | − | 0.161511i | \(-0.0516367\pi\) |
−0.768325 | + | 0.640060i | \(0.778909\pi\) | |||||||
\(72\) | 187.544 | − | 55.0678i | 0.306975 | − | 0.0901361i | ||||
\(73\) | 704.534 | − | 813.075i | 1.12958 | − | 1.30361i | 0.182286 | − | 0.983246i | \(-0.441650\pi\) |
0.947295 | − | 0.320361i | \(-0.103804\pi\) | |||||||
\(74\) | −400.946 | − | 257.672i | −0.629851 | − | 0.404781i | ||||
\(75\) | −217.853 | − | 251.415i | −0.335406 | − | 0.387079i | ||||
\(76\) | 57.4914 | + | 399.862i | 0.0867726 | + | 0.603517i | ||||
\(77\) | 96.0851 | + | 28.2131i | 0.142207 | + | 0.0417557i | ||||
\(78\) | −123.723 | + | 79.5122i | −0.179601 | + | 0.115423i | ||||
\(79\) | 58.0036 | − | 403.424i | 0.0826065 | − | 0.574541i | −0.905915 | − | 0.423460i | \(-0.860816\pi\) |
0.988521 | − | 0.151081i | \(-0.0482754\pi\) | |||||||
\(80\) | 11.7510 | − | 25.7310i | 0.0164225 | − | 0.0359602i | ||||
\(81\) | 33.6486 | − | 73.6802i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −12.5510 | + | 87.2945i | −0.0169028 | + | 0.117562i | ||||
\(83\) | 30.2007 | − | 19.4088i | 0.0399393 | − | 0.0256674i | −0.520519 | − | 0.853850i | \(-0.674261\pi\) |
0.560458 | + | 0.828183i | \(0.310625\pi\) | |||||||
\(84\) | −231.042 | − | 67.8400i | −0.300104 | − | 0.0881185i | ||||
\(85\) | 41.2078 | + | 286.606i | 0.0525837 | + | 0.365727i | ||||
\(86\) | −181.443 | − | 209.397i | −0.227506 | − | 0.262556i | ||||
\(87\) | −81.7108 | − | 52.5123i | −0.100693 | − | 0.0647117i | ||||
\(88\) | −95.0334 | + | 109.674i | −0.115120 | + | 0.132856i | ||||
\(89\) | −1495.15 | + | 439.016i | −1.78074 | + | 0.522872i | −0.995367 | − | 0.0961503i | \(-0.969347\pi\) |
−0.785373 | + | 0.619023i | \(0.787529\pi\) | |||||||
\(90\) | 22.8368 | + | 50.0056i | 0.0267468 | + | 0.0585673i | ||||
\(91\) | 451.814 | 0.520472 | ||||||||
\(92\) | −450.383 | + | 382.306i | −0.510388 | + | 0.433241i | ||||
\(93\) | −543.079 | −0.605534 | ||||||||
\(94\) | 148.460 | + | 325.082i | 0.162898 | + | 0.356698i | ||||
\(95\) | −271.853 | + | 79.8232i | −0.293595 | + | 0.0862072i | ||||
\(96\) | 365.390 | − | 421.683i | 0.388464 | − | 0.448311i | ||||
\(97\) | 290.883 | + | 186.939i | 0.304482 | + | 0.195679i | 0.683955 | − | 0.729524i | \(-0.260258\pi\) |
−0.379473 | + | 0.925203i | \(0.623895\pi\) | |||||||
\(98\) | 126.081 | + | 145.505i | 0.129960 | + | 0.149982i | ||||
\(99\) | 8.55859 | + | 59.5263i | 0.00868859 | + | 0.0604305i | ||||
\(100\) | −569.846 | − | 167.322i | −0.569846 | − | 0.167322i | ||||
\(101\) | −306.829 | + | 197.187i | −0.302283 | + | 0.194266i | −0.682985 | − | 0.730432i | \(-0.739319\pi\) |
0.380702 | + | 0.924698i | \(0.375682\pi\) | |||||||
\(102\) | −53.5165 | + | 372.216i | −0.0519502 | + | 0.361322i | ||||
\(103\) | 658.896 | − | 1442.78i | 0.630320 | − | 1.38021i | −0.277450 | − | 0.960740i | \(-0.589489\pi\) |
0.907770 | − | 0.419469i | \(-0.137784\pi\) | |||||||
\(104\) | −271.991 | + | 595.578i | −0.256451 | + | 0.561550i | ||||
\(105\) | 24.0347 | − | 167.165i | 0.0223385 | − | 0.155368i | ||||
\(106\) | −368.874 | + | 237.061i | −0.338002 | + | 0.217221i | ||||
\(107\) | −677.675 | − | 198.983i | −0.612274 | − | 0.179780i | −0.0391295 | − | 0.999234i | \(-0.512458\pi\) |
−0.573145 | + | 0.819454i | \(0.694277\pi\) | |||||||
\(108\) | −20.5796 | − | 143.134i | −0.0183358 | − | 0.127529i | ||||
\(109\) | −633.258 | − | 730.818i | −0.556469 | − | 0.642199i | 0.405909 | − | 0.913913i | \(-0.366955\pi\) |
−0.962378 | + | 0.271714i | \(0.912409\pi\) | |||||||
\(110\) | −34.3358 | − | 22.0663i | −0.0297617 | − | 0.0191267i | ||||
\(111\) | −575.811 | + | 664.521i | −0.492375 | + | 0.568231i | ||||
\(112\) | −108.287 | + | 31.7959i | −0.0913585 | + | 0.0268253i | ||||
\(113\) | 466.272 | + | 1020.99i | 0.388170 | + | 0.849974i | 0.998334 | + | 0.0576985i | \(0.0183762\pi\) |
−0.610164 | + | 0.792275i | \(0.708897\pi\) | |||||||
\(114\) | −367.960 | −0.302304 | ||||||||
\(115\) | −310.358 | − | 274.505i | −0.251661 | − | 0.222589i | ||||
\(116\) | −173.402 | −0.138793 | ||||||||
\(117\) | 112.714 | + | 246.810i | 0.0890637 | + | 0.195022i | ||||
\(118\) | −422.464 | + | 124.047i | −0.329585 | + | 0.0967748i | ||||
\(119\) | 756.522 | − | 873.073i | 0.582775 | − | 0.672558i | ||||
\(120\) | 205.886 | + | 132.315i | 0.156623 | + | 0.100656i | ||||
\(121\) | 842.380 | + | 972.159i | 0.632893 | + | 0.730397i | ||||
\(122\) | 96.8595 | + | 673.673i | 0.0718791 | + | 0.499930i | ||||
\(123\) | 156.115 | + | 45.8394i | 0.114442 | + | 0.0336033i | ||||
\(124\) | −815.626 | + | 524.171i | −0.590688 | + | 0.379612i | ||||
\(125\) | 126.102 | − | 877.058i | 0.0902311 | − | 0.627571i | ||||
\(126\) | 91.1126 | − | 199.509i | 0.0644203 | − | 0.141061i | ||||
\(127\) | 980.501 | − | 2147.00i | 0.685082 | − | 1.50012i | −0.172085 | − | 0.985082i | \(-0.555050\pi\) |
0.857167 | − | 0.515038i | \(-0.172222\pi\) | |||||||
\(128\) | 155.704 | − | 1082.94i | 0.107519 | − | 0.747809i | ||||
\(129\) | −430.023 | + | 276.359i | −0.293499 | + | 0.188620i | ||||
\(130\) | −176.688 | − | 51.8803i | −0.119204 | − | 0.0350015i | ||||
\(131\) | −235.571 | − | 1638.43i | −0.157114 | − | 1.09275i | −0.903918 | − | 0.427706i | \(-0.859322\pi\) |
0.746804 | − | 0.665044i | \(-0.231587\pi\) | |||||||
\(132\) | 70.3076 | + | 81.1393i | 0.0463598 | + | 0.0535020i | ||||
\(133\) | 950.960 | + | 611.145i | 0.619990 | + | 0.398444i | ||||
\(134\) | 15.3782 | − | 17.7474i | 0.00991399 | − | 0.0114414i | ||||
\(135\) | 97.3122 | − | 28.5734i | 0.0620392 | − | 0.0182164i | ||||
\(136\) | 695.453 | + | 1522.83i | 0.438490 | + | 0.960159i | ||||
\(137\) | 3110.71 | 1.93990 | 0.969948 | − | 0.243312i | \(-0.0782338\pi\) | ||||
0.969948 | + | 0.243312i | \(0.0782338\pi\) | |||||||
\(138\) | −286.297 | − | 455.614i | −0.176603 | − | 0.281047i | ||||
\(139\) | 1610.57 | 0.982783 | 0.491391 | − | 0.870939i | \(-0.336488\pi\) | ||||
0.491391 | + | 0.870939i | \(0.336488\pi\) | |||||||
\(140\) | −125.248 | − | 274.255i | −0.0756100 | − | 0.165563i | ||||
\(141\) | 632.617 | − | 185.753i | 0.377844 | − | 0.110945i | ||||
\(142\) | −335.155 | + | 386.790i | −0.198068 | + | 0.228582i | ||||
\(143\) | −169.469 | − | 108.911i | −0.0991030 | − | 0.0636897i | ||||
\(144\) | −44.3834 | − | 51.2212i | −0.0256848 | − | 0.0296419i | ||||
\(145\) | −17.3078 | − | 120.379i | −0.00991268 | − | 0.0689442i | ||||
\(146\) | 1678.59 | + | 492.877i | 0.951512 | + | 0.279389i | ||||
\(147\) | 298.813 | − | 192.035i | 0.167658 | − | 0.107747i | ||||
\(148\) | −223.400 | + | 1553.78i | −0.124077 | + | 0.862972i | ||||
\(149\) | −217.063 | + | 475.301i | −0.119345 | + | 0.261330i | −0.959871 | − | 0.280442i | \(-0.909519\pi\) |
0.840526 | + | 0.541772i | \(0.182246\pi\) | |||||||
\(150\) | 224.722 | − | 492.072i | 0.122323 | − | 0.267850i | ||||
\(151\) | −17.3910 | + | 120.957i | −0.00937255 | + | 0.0651875i | −0.993971 | − | 0.109644i | \(-0.965029\pi\) |
0.984598 | + | 0.174831i | \(0.0559380\pi\) | |||||||
\(152\) | −1378.08 | + | 885.640i | −0.735377 | + | 0.472598i | ||||
\(153\) | 665.659 | + | 195.455i | 0.351734 | + | 0.103278i | ||||
\(154\) | 23.1747 | + | 161.183i | 0.0121264 | + | 0.0843411i | ||||
\(155\) | −445.299 | − | 513.903i | −0.230757 | − | 0.266307i | ||||
\(156\) | 407.498 | + | 261.883i | 0.209141 | + | 0.134407i | ||||
\(157\) | −1525.36 | + | 1760.35i | −0.775393 | + | 0.894851i | −0.996768 | − | 0.0803379i | \(-0.974400\pi\) |
0.221375 | + | 0.975189i | \(0.428946\pi\) | |||||||
\(158\) | 635.909 | − | 186.720i | 0.320191 | − | 0.0940167i | ||||
\(159\) | 336.052 | + | 735.850i | 0.167614 | + | 0.367023i | ||||
\(160\) | 698.632 | 0.345198 | ||||||||
\(161\) | −16.8198 | + | 1653.01i | −0.00823344 | + | 0.809162i | ||||
\(162\) | 131.715 | 0.0638795 | ||||||||
\(163\) | −1431.91 | − | 3135.45i | −0.688074 | − | 1.50667i | −0.853856 | − | 0.520509i | \(-0.825742\pi\) |
0.165782 | − | 0.986162i | \(-0.446985\pi\) | |||||||
\(164\) | 278.705 | − | 81.8353i | 0.132703 | − | 0.0389650i | ||||
\(165\) | −49.3107 | + | 56.9076i | −0.0232657 | + | 0.0268500i | ||||
\(166\) | 49.1096 | + | 31.5608i | 0.0229617 | + | 0.0147566i | ||||
\(167\) | −636.508 | − | 734.569i | −0.294937 | − | 0.340375i | 0.588870 | − | 0.808228i | \(-0.299573\pi\) |
−0.883806 | + | 0.467853i | \(0.845028\pi\) | |||||||
\(168\) | −138.962 | − | 966.499i | −0.0638162 | − | 0.443851i | ||||
\(169\) | 1235.94 | + | 362.904i | 0.562556 | + | 0.165181i | ||||
\(170\) | −396.100 | + | 254.558i | −0.178703 | + | 0.114845i | ||||
\(171\) | −96.6102 | + | 671.939i | −0.0432045 | + | 0.300494i | ||||
\(172\) | −379.095 | + | 830.102i | −0.168056 | + | 0.367992i | ||||
\(173\) | 1174.83 | − | 2572.52i | 0.516305 | − | 1.13055i | −0.454515 | − | 0.890739i | \(-0.650187\pi\) |
0.970820 | − | 0.239810i | \(-0.0770853\pi\) | |||||||
\(174\) | 22.4777 | − | 156.336i | 0.00979327 | − | 0.0681137i | ||||
\(175\) | −1398.06 | + | 898.477i | −0.603904 | + | 0.388105i | ||||
\(176\) | 48.2815 | + | 14.1767i | 0.0206781 | + | 0.00607165i | ||||
\(177\) | 115.603 | + | 804.039i | 0.0490920 | + | 0.341442i | ||||
\(178\) | −1659.36 | − | 1915.01i | −0.698733 | − | 0.806381i | ||||
\(179\) | 333.079 | + | 214.057i | 0.139081 | + | 0.0893819i | 0.608331 | − | 0.793683i | \(-0.291839\pi\) |
−0.469250 | + | 0.883065i | \(0.655476\pi\) | |||||||
\(180\) | 118.570 | − | 136.837i | 0.0490983 | − | 0.0566625i | ||||
\(181\) | −2504.13 | + | 735.280i | −1.02835 | + | 0.301950i | −0.752039 | − | 0.659119i | \(-0.770929\pi\) |
−0.276309 | + | 0.961069i | \(0.589111\pi\) | |||||||
\(182\) | 305.204 | + | 668.305i | 0.124304 | + | 0.272187i | ||||
\(183\) | 1255.64 | 0.507210 | ||||||||
\(184\) | −2168.85 | − | 1017.28i | −0.868968 | − | 0.407580i | ||||
\(185\) | −1100.96 | −0.437536 | ||||||||
\(186\) | −366.854 | − | 803.299i | −0.144619 | − | 0.316671i | ||||
\(187\) | −494.218 | + | 145.116i | −0.193266 | + | 0.0567481i | ||||
\(188\) | 770.813 | − | 889.566i | 0.299028 | − | 0.345097i | ||||
\(189\) | −340.405 | − | 218.765i | −0.131010 | − | 0.0841947i | ||||
\(190\) | −301.710 | − | 348.192i | −0.115202 | − | 0.132950i | ||||
\(191\) | −33.7550 | − | 234.771i | −0.0127876 | − | 0.0889394i | 0.982428 | − | 0.186641i | \(-0.0597601\pi\) |
−0.995216 | + | 0.0977014i | \(0.968851\pi\) | |||||||
\(192\) | 697.147 | + | 204.701i | 0.262043 | + | 0.0769428i | ||||
\(193\) | −1804.28 | + | 1159.54i | −0.672926 | + | 0.432463i | −0.831979 | − | 0.554807i | \(-0.812792\pi\) |
0.159054 | + | 0.987270i | \(0.449156\pi\) | |||||||
\(194\) | −80.0186 | + | 556.542i | −0.0296134 | + | 0.205966i | ||||
\(195\) | −141.130 | + | 309.032i | −0.0518284 | + | 0.113488i | ||||
\(196\) | 263.424 | − | 576.819i | 0.0960001 | − | 0.210211i | ||||
\(197\) | −647.710 | + | 4504.92i | −0.234251 | + | 1.62925i | 0.445131 | + | 0.895465i | \(0.353157\pi\) |
−0.679382 | + | 0.733785i | \(0.737752\pi\) | |||||||
\(198\) | −82.2674 | + | 52.8700i | −0.0295277 | + | 0.0189763i | ||||
\(199\) | −1366.65 | − | 401.284i | −0.486830 | − | 0.142946i | 0.0291009 | − | 0.999576i | \(-0.490736\pi\) |
−0.515931 | + | 0.856630i | \(0.672554\pi\) | |||||||
\(200\) | −342.737 | − | 2383.79i | −0.121176 | − | 0.842797i | ||||
\(201\) | −28.3712 | − | 32.7421i | −0.00995598 | − | 0.0114898i | ||||
\(202\) | −498.936 | − | 320.647i | −0.173787 | − | 0.111686i | ||||
\(203\) | −317.750 | + | 366.703i | −0.109860 | + | 0.126786i | ||||
\(204\) | 1188.37 | − | 348.938i | 0.407857 | − | 0.119758i | ||||
\(205\) | 84.6301 | + | 185.314i | 0.0288333 | + | 0.0631361i | ||||
\(206\) | 2579.19 | 0.872334 | ||||||||
\(207\) | −907.175 | + | 403.189i | −0.304604 | + | 0.135379i | ||||
\(208\) | 227.030 | 0.0756814 | ||||||||
\(209\) | −209.374 | − | 458.464i | −0.0692951 | − | 0.151735i | ||||
\(210\) | 263.499 | − | 77.3702i | 0.0865864 | − | 0.0254241i | ||||
\(211\) | −131.259 | + | 151.481i | −0.0428257 | + | 0.0494235i | −0.776758 | − | 0.629799i | \(-0.783137\pi\) |
0.733933 | + | 0.679222i | \(0.237683\pi\) | |||||||
\(212\) | 1214.93 | + | 780.789i | 0.393594 | + | 0.252947i | ||||
\(213\) | 618.328 | + | 713.588i | 0.198907 | + | 0.229550i | ||||
\(214\) | −163.448 | − | 1136.80i | −0.0522105 | − | 0.363132i | ||||
\(215\) | −614.110 | − | 180.319i | −0.194800 | − | 0.0571984i | ||||
\(216\) | 493.297 | − | 317.023i | 0.155392 | − | 0.0998643i | ||||
\(217\) | −386.097 | + | 2685.36i | −0.120783 | + | 0.840067i | ||||
\(218\) | 653.225 | − | 1430.36i | 0.202945 | − | 0.444387i | ||||
\(219\) | 1340.78 | − | 2935.89i | 0.413704 | − | 0.905886i | ||||
\(220\) | −19.1313 | + | 133.061i | −0.00586286 | + | 0.0407771i | ||||
\(221\) | −1955.01 | + | 1256.41i | −0.595060 | + | 0.382422i | ||||
\(222\) | −1371.90 | − | 402.826i | −0.414756 | − | 0.121783i | ||||
\(223\) | −777.423 | − | 5407.10i | −0.233453 | − | 1.62370i | −0.682980 | − | 0.730437i | \(-0.739317\pi\) |
0.449527 | − | 0.893267i | \(-0.351593\pi\) | |||||||
\(224\) | −1825.33 | − | 2106.54i | −0.544464 | − | 0.628345i | ||||
\(225\) | −839.580 | − | 539.566i | −0.248765 | − | 0.159871i | ||||
\(226\) | −1195.24 | + | 1379.38i | −0.351797 | + | 0.405996i | ||||
\(227\) | 4360.50 | − | 1280.36i | 1.27496 | − | 0.374363i | 0.426920 | − | 0.904290i | \(-0.359599\pi\) |
0.848044 | + | 0.529926i | \(0.177780\pi\) | |||||||
\(228\) | 503.450 | + | 1102.40i | 0.146236 | + | 0.320212i | ||||
\(229\) | 3780.31 | 1.09087 | 0.545437 | − | 0.838152i | \(-0.316364\pi\) | ||||
0.545437 | + | 0.838152i | \(0.316364\pi\) | |||||||
\(230\) | 196.387 | − | 644.499i | 0.0563015 | − | 0.184770i | ||||
\(231\) | 300.425 | 0.0855692 | ||||||||
\(232\) | −292.100 | − | 639.610i | −0.0826608 | − | 0.181002i | ||||
\(233\) | −5863.57 | + | 1721.70i | −1.64865 | + | 0.484087i | −0.968505 | − | 0.248992i | \(-0.919901\pi\) |
−0.680143 | + | 0.733079i | \(0.738082\pi\) | |||||||
\(234\) | −288.932 | + | 333.445i | −0.0807182 | + | 0.0931537i | ||||
\(235\) | 694.490 | + | 446.322i | 0.192781 | + | 0.123893i | ||||
\(236\) | 949.666 | + | 1095.97i | 0.261941 | + | 0.302296i | ||||
\(237\) | −174.011 | − | 1210.27i | −0.0476929 | − | 0.331711i | ||||
\(238\) | 1802.45 | + | 529.247i | 0.490905 | + | 0.144143i | ||||
\(239\) | −4800.23 | + | 3084.92i | −1.29917 | + | 0.834924i | −0.993121 | − | 0.117093i | \(-0.962642\pi\) |
−0.306046 | + | 0.952017i | \(0.599006\pi\) | |||||||
\(240\) | 12.0771 | − | 83.9980i | 0.00324822 | − | 0.0225919i | ||||
\(241\) | −1797.62 | + | 3936.23i | −0.480476 | + | 1.05210i | 0.501856 | + | 0.864951i | \(0.332651\pi\) |
−0.982332 | + | 0.187145i | \(0.940077\pi\) | |||||||
\(242\) | −868.941 | + | 1902.72i | −0.230817 | + | 0.505418i | ||||
\(243\) | 34.5825 | − | 240.527i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | 1885.79 | − | 1211.92i | 0.494775 | − | 0.317973i | ||||
\(245\) | 426.731 | + | 125.300i | 0.111277 | + | 0.0326739i | ||||
\(246\) | 37.6531 | + | 261.883i | 0.00975885 | + | 0.0678743i | ||||
\(247\) | −1489.14 | − | 1718.55i | −0.383609 | − | 0.442708i | ||||
\(248\) | −3307.40 | − | 2125.54i | −0.846855 | − | 0.544240i | ||||
\(249\) | 70.5279 | − | 81.3935i | 0.0179499 | − | 0.0207153i | ||||
\(250\) | 1382.49 | − | 405.936i | 0.349745 | − | 0.102695i | ||||
\(251\) | 2607.70 | + | 5710.08i | 0.655764 | + | 1.43592i | 0.886417 | + | 0.462887i | \(0.153187\pi\) |
−0.230653 | + | 0.973036i | \(0.574086\pi\) | |||||||
\(252\) | −722.387 | −0.180580 | ||||||||
\(253\) | 404.771 | − | 615.965i | 0.100584 | − | 0.153065i | ||||
\(254\) | 3838.09 | 0.948122 | ||||||||
\(255\) | 360.855 | + | 790.162i | 0.0886181 | + | 0.194046i | ||||
\(256\) | 3566.08 | − | 1047.10i | 0.870626 | − | 0.255639i | ||||
\(257\) | 3565.16 | − | 4114.41i | 0.865324 | − | 0.998637i | −0.134646 | − | 0.990894i | \(-0.542990\pi\) |
0.999970 | − | 0.00774364i | \(-0.00246490\pi\) | |||||||
\(258\) | −699.262 | − | 449.389i | −0.168737 | − | 0.108441i | ||||
\(259\) | 2876.50 | + | 3319.65i | 0.690103 | + | 0.796422i | ||||
\(260\) | 86.3156 | + | 600.338i | 0.0205887 | + | 0.143198i | ||||
\(261\) | −279.586 | − | 82.0939i | −0.0663063 | − | 0.0194693i | ||||
\(262\) | 2264.37 | − | 1455.22i | 0.533943 | − | 0.343144i | ||||
\(263\) | 673.045 | − | 4681.13i | 0.157801 | − | 1.09753i | −0.744873 | − | 0.667207i | \(-0.767490\pi\) |
0.902674 | − | 0.430325i | \(-0.141601\pi\) | |||||||
\(264\) | −180.855 | + | 396.018i | −0.0421624 | + | 0.0923227i | ||||
\(265\) | −420.771 | + | 921.361i | −0.0975388 | + | 0.213580i | ||||
\(266\) | −261.598 | + | 1819.45i | −0.0602993 | + | 0.419391i | ||||
\(267\) | −3932.71 | + | 2527.40i | −0.901415 | + | 0.579304i | ||||
\(268\) | −74.2117 | − | 21.7905i | −0.0169149 | − | 0.00496667i | ||||
\(269\) | −215.119 | − | 1496.19i | −0.0487585 | − | 0.339123i | −0.999569 | − | 0.0293502i | \(-0.990656\pi\) |
0.950811 | − | 0.309773i | \(-0.100253\pi\) | |||||||
\(270\) | 108.000 | + | 124.638i | 0.0243432 | + | 0.0280935i | ||||
\(271\) | 3802.59 | + | 2443.78i | 0.852365 | + | 0.547782i | 0.892312 | − | 0.451420i | \(-0.149082\pi\) |
−0.0399463 | + | 0.999202i | \(0.512719\pi\) | |||||||
\(272\) | 380.142 | − | 438.707i | 0.0847408 | − | 0.0977961i | ||||
\(273\) | 1300.54 | − | 381.872i | 0.288323 | − | 0.0846592i | ||||
\(274\) | 2101.31 | + | 4601.23i | 0.463302 | + | 1.01449i | ||||
\(275\) | 740.973 | 0.162481 | ||||||||
\(276\) | −973.295 | + | 1481.12i | −0.212266 | + | 0.323018i | ||||
\(277\) | 4701.23 | 1.01975 | 0.509873 | − | 0.860249i | \(-0.329692\pi\) | ||||
0.509873 | + | 0.860249i | \(0.329692\pi\) | |||||||
\(278\) | 1087.95 | + | 2382.29i | 0.234716 | + | 0.513957i | ||||
\(279\) | −1563.24 | + | 459.009i | −0.335444 | + | 0.0984951i | ||||
\(280\) | 800.633 | − | 923.980i | 0.170882 | − | 0.197208i | ||||
\(281\) | 4614.05 | + | 2965.27i | 0.979541 | + | 0.629513i | 0.929340 | − | 0.369226i | \(-0.120377\pi\) |
0.0502016 | + | 0.998739i | \(0.484014\pi\) | |||||||
\(282\) | 702.097 | + | 810.263i | 0.148260 | + | 0.171101i | ||||
\(283\) | −736.550 | − | 5122.82i | −0.154712 | − | 1.07604i | −0.908186 | − | 0.418566i | \(-0.862533\pi\) |
0.753475 | − | 0.657477i | \(-0.228376\pi\) | |||||||
\(284\) | 1617.38 | + | 474.906i | 0.337937 | + | 0.0992272i | ||||
\(285\) | −715.056 | + | 459.539i | −0.148618 | + | 0.0955113i | ||||
\(286\) | 46.6190 | − | 324.242i | 0.00963860 | − | 0.0670380i | ||||
\(287\) | 337.651 | − | 739.353i | 0.0694457 | − | 0.152065i | ||||
\(288\) | 695.363 | − | 1522.63i | 0.142273 | − | 0.311535i | ||||
\(289\) | −146.447 | + | 1018.56i | −0.0298080 | + | 0.207319i | ||||
\(290\) | 166.368 | − | 106.918i | 0.0336877 | − | 0.0216498i | ||||
\(291\) | 995.302 | + | 292.247i | 0.200501 | + | 0.0588723i | ||||
\(292\) | −820.022 | − | 5703.38i | −0.164343 | − | 1.14303i | ||||
\(293\) | −6121.25 | − | 7064.30i | −1.22050 | − | 1.40854i | −0.884412 | − | 0.466706i | \(-0.845441\pi\) |
−0.336091 | − | 0.941830i | \(-0.609105\pi\) | |||||||
\(294\) | 485.901 | + | 312.270i | 0.0963889 | + | 0.0619454i | ||||
\(295\) | −666.054 | + | 768.668i | −0.131455 | + | 0.151707i | ||||
\(296\) | −6107.59 | + | 1793.35i | −1.19931 | + | 0.352150i | ||||
\(297\) | 74.9472 | + | 164.111i | 0.0146427 | + | 0.0320630i | ||||
\(298\) | −849.673 | −0.165169 | ||||||||
\(299\) | 969.295 | − | 3181.02i | 0.187478 | − | 0.615261i | ||||
\(300\) | −1781.71 | −0.342890 | ||||||||
\(301\) | 1060.79 | + | 2322.81i | 0.203133 | + | 0.444799i | ||||
\(302\) | −190.662 | + | 55.9834i | −0.0363290 | + | 0.0106672i | ||||
\(303\) | −716.539 | + | 826.930i | −0.135855 | + | 0.156785i | ||||
\(304\) | 477.845 | + | 307.092i | 0.0901522 | + | 0.0579373i | ||||
\(305\) | 1029.56 | + | 1188.18i | 0.193288 | + | 0.223066i | ||||
\(306\) | 160.550 | + | 1116.65i | 0.0299935 | + | 0.208609i | ||||
\(307\) | 1052.09 | + | 308.922i | 0.195590 | + | 0.0574303i | 0.378060 | − | 0.925781i | \(-0.376591\pi\) |
−0.182470 | + | 0.983211i | \(0.558409\pi\) | |||||||
\(308\) | 451.195 | − | 289.965i | 0.0834714 | − | 0.0536438i | ||||
\(309\) | 677.183 | − | 4709.91i | 0.124672 | − | 0.867112i | ||||
\(310\) | 459.340 | − | 1005.81i | 0.0841572 | − | 0.184279i | ||||
\(311\) | −783.903 | + | 1716.51i | −0.142929 | + | 0.312972i | −0.967535 | − | 0.252736i | \(-0.918670\pi\) |
0.824606 | + | 0.565708i | \(0.191397\pi\) | |||||||
\(312\) | −279.540 | + | 1944.25i | −0.0507239 | + | 0.352792i | ||||
\(313\) | 938.962 | − | 603.434i | 0.169563 | − | 0.108972i | −0.453107 | − | 0.891456i | \(-0.649684\pi\) |
0.622670 | + | 0.782485i | \(0.286048\pi\) | |||||||
\(314\) | −3634.23 | − | 1067.11i | −0.653158 | − | 0.191785i | ||||
\(315\) | −72.1040 | − | 501.494i | −0.0128971 | − | 0.0897016i | ||||
\(316\) | −1429.47 | − | 1649.70i | −0.254475 | − | 0.293680i | ||||
\(317\) | −3799.89 | − | 2442.04i | −0.673258 | − | 0.432677i | 0.158840 | − | 0.987304i | \(-0.449224\pi\) |
−0.832099 | + | 0.554627i | \(0.812861\pi\) | |||||||
\(318\) | −861.433 | + | 994.147i | −0.151908 | + | 0.175311i | ||||
\(319\) | 207.579 | − | 60.9506i | 0.0364331 | − | 0.0106977i | ||||
\(320\) | 377.925 | + | 827.539i | 0.0660207 | + | 0.144565i | ||||
\(321\) | −2118.85 | −0.368420 | ||||||||
\(322\) | −2456.42 | + | 1091.74i | −0.425127 | + | 0.188945i | ||||
\(323\) | −5814.31 | −1.00160 | ||||||||
\(324\) | −180.215 | − | 394.615i | −0.0309010 | − | 0.0676637i | ||||
\(325\) | 3207.67 | − | 941.856i | 0.547475 | − | 0.160753i | ||||
\(326\) | 3670.56 | − | 4236.05i | 0.623600 | − | 0.719672i | ||||
\(327\) | −2440.51 | − | 1568.42i | −0.412722 | − | 0.265241i | ||||
\(328\) | 771.344 | + | 890.178i | 0.129849 | + | 0.149853i | ||||
\(329\) | −468.741 | − | 3260.17i | −0.0785487 | − | 0.546318i | ||||
\(330\) | −117.485 | − | 34.4967i | −0.0195980 | − | 0.00575450i | ||||
\(331\) | −8644.52 | + | 5555.50i | −1.43549 | + | 0.922531i | −0.435738 | + | 0.900073i | \(0.643513\pi\) |
−0.999748 | + | 0.0224573i | \(0.992851\pi\) | |||||||
\(332\) | 27.3630 | − | 190.314i | 0.00452331 | − | 0.0314603i | ||||
\(333\) | −1095.81 | + | 2399.49i | −0.180330 | + | 0.394868i | ||||
\(334\) | 656.577 | − | 1437.70i | 0.107564 | − | 0.235532i | ||||
\(335\) | 7.72004 | − | 53.6941i | 0.00125908 | − | 0.00875707i | ||||
\(336\) | −284.828 | + | 183.048i | −0.0462459 | + | 0.0297205i | ||||
\(337\) | −4745.19 | − | 1393.31i | −0.767023 | − | 0.225218i | −0.125263 | − | 0.992124i | \(-0.539977\pi\) |
−0.641760 | + | 0.766905i | \(0.721796\pi\) | |||||||
\(338\) | 298.094 | + | 2073.29i | 0.0479709 | + | 0.333645i | ||||
\(339\) | 2205.10 | + | 2544.82i | 0.353287 | + | 0.407715i | ||||
\(340\) | 1304.60 | + | 838.418i | 0.208094 | + | 0.133734i | ||||
\(341\) | 792.136 | − | 914.174i | 0.125796 | − | 0.145177i | ||||
\(342\) | −1059.17 | + | 310.999i | −0.167465 | + | 0.0491722i | ||||
\(343\) | −2872.53 | − | 6289.96i | −0.452193 | − | 0.990164i | ||||
\(344\) | −3700.51 | −0.579994 | ||||||||
\(345\) | −1125.37 | − | 527.843i | −0.175617 | − | 0.0823713i | ||||
\(346\) | 4598.77 | 0.714542 | ||||||||
\(347\) | 4682.65 | + | 10253.6i | 0.724432 | + | 1.58628i | 0.807588 | + | 0.589747i | \(0.200773\pi\) |
−0.0831564 | + | 0.996537i | \(0.526500\pi\) | |||||||
\(348\) | −499.134 | + | 146.559i | −0.0768862 | + | 0.0225758i | ||||
\(349\) | −487.948 | + | 563.122i | −0.0748402 | + | 0.0863702i | −0.791935 | − | 0.610606i | \(-0.790926\pi\) |
0.717095 | + | 0.696976i | \(0.245472\pi\) | |||||||
\(350\) | −2273.39 | − | 1461.02i | −0.347194 | − | 0.223128i | ||||
\(351\) | 533.049 | + | 615.172i | 0.0810600 | + | 0.0935483i | ||||
\(352\) | 176.867 | + | 1230.14i | 0.0267814 | + | 0.186268i | ||||
\(353\) | 2656.57 | + | 780.040i | 0.400553 | + | 0.117613i | 0.475803 | − | 0.879552i | \(-0.342157\pi\) |
−0.0752505 | + | 0.997165i | \(0.523976\pi\) | |||||||
\(354\) | −1111.21 | + | 714.132i | −0.166837 | + | 0.107219i | ||||
\(355\) | −168.252 | + | 1170.22i | −0.0251546 | + | 0.174954i | ||||
\(356\) | −3466.96 | + | 7591.58i | −0.516147 | + | 1.13020i | ||||
\(357\) | 1439.71 | − | 3152.53i | 0.213439 | − | 0.467366i | ||||
\(358\) | −91.6261 | + | 637.273i | −0.0135268 | + | 0.0940809i | ||||
\(359\) | −5402.07 | + | 3471.70i | −0.794179 | + | 0.510388i | −0.873711 | − | 0.486445i | \(-0.838294\pi\) |
0.0795328 | + | 0.996832i | \(0.474657\pi\) | |||||||
\(360\) | 704.472 | + | 206.852i | 0.103136 | + | 0.0302835i | ||||
\(361\) | 166.462 | + | 1157.77i | 0.0242691 | + | 0.168795i | ||||
\(362\) | −2779.16 | − | 3207.32i | −0.403507 | − | 0.465672i | ||||
\(363\) | 3246.44 | + | 2086.36i | 0.469405 | + | 0.301668i | ||||
\(364\) | 1584.64 | − | 1828.78i | 0.228181 | − | 0.263335i | ||||
\(365\) | 3877.54 | − | 1138.55i | 0.556054 | − | 0.163272i | ||||
\(366\) | 848.195 | + | 1857.29i | 0.121136 | + | 0.265251i | ||||
\(367\) | 3082.95 | 0.438498 | 0.219249 | − | 0.975669i | \(-0.429639\pi\) | ||||
0.219249 | + | 0.975669i | \(0.429639\pi\) | |||||||
\(368\) | −8.45171 | + | 830.613i | −0.00119722 | + | 0.117659i | ||||
\(369\) | 488.116 | 0.0688627 | ||||||||
\(370\) | −743.708 | − | 1628.49i | −0.104496 | − | 0.228814i | ||||
\(371\) | 3877.48 | − | 1138.53i | 0.542611 | − | 0.159325i | ||||
\(372\) | −1904.73 | + | 2198.18i | −0.265473 | + | 0.306372i | ||||
\(373\) | −7161.77 | − | 4602.59i | −0.994162 | − | 0.638909i | −0.0609141 | − | 0.998143i | \(-0.519402\pi\) |
−0.933247 | + | 0.359234i | \(0.883038\pi\) | |||||||
\(374\) | −548.498 | − | 633.000i | −0.0758346 | − | 0.0875178i | ||||
\(375\) | −378.306 | − | 2631.17i | −0.0520950 | − | 0.362329i | ||||
\(376\) | 4579.71 | + | 1344.72i | 0.628139 | + | 0.184438i | ||||
\(377\) | 821.132 | − | 527.710i | 0.112176 | − | 0.0720913i | ||||
\(378\) | 93.6414 | − | 651.290i | 0.0127418 | − | 0.0886210i | ||||
\(379\) | −3477.43 | + | 7614.51i | −0.471302 | + | 1.03201i | 0.513462 | + | 0.858113i | \(0.328363\pi\) |
−0.984764 | + | 0.173896i | \(0.944364\pi\) | |||||||
\(380\) | −630.372 | + | 1380.32i | −0.0850984 | + | 0.186340i | ||||
\(381\) | 1007.71 | − | 7008.81i | 0.135503 | − | 0.942446i | ||||
\(382\) | 324.461 | − | 208.519i | 0.0434578 | − | 0.0279287i | ||||
\(383\) | 2950.88 | + | 866.455i | 0.393689 | + | 0.115597i | 0.472584 | − | 0.881285i | \(-0.343321\pi\) |
−0.0788957 | + | 0.996883i | \(0.525139\pi\) | |||||||
\(384\) | −467.111 | − | 3248.83i | −0.0620760 | − | 0.431748i | ||||
\(385\) | 246.334 | + | 284.285i | 0.0326087 | + | 0.0376325i | ||||
\(386\) | −2933.94 | − | 1885.53i | −0.386875 | − | 0.248630i | ||||
\(387\) | −1004.23 | + | 1158.95i | −0.131907 | + | 0.152229i | ||||
\(388\) | 1776.87 | − | 521.737i | 0.232492 | − | 0.0682659i | ||||
\(389\) | −255.646 | − | 559.786i | −0.0333207 | − | 0.0729622i | 0.892240 | − | 0.451562i | \(-0.149133\pi\) |
−0.925561 | + | 0.378600i | \(0.876406\pi\) | |||||||
\(390\) | −552.442 | −0.0717281 | ||||||||
\(391\) | −4523.91 | − | 7199.37i | −0.585126 | − | 0.931171i | ||||
\(392\) | 2571.40 | 0.331314 | ||||||||
\(393\) | −2062.88 | − | 4517.08i | −0.264780 | − | 0.579788i | ||||
\(394\) | −7101.02 | + | 2085.05i | −0.907981 | + | 0.266607i | ||||
\(395\) | 1002.57 | − | 1157.03i | 0.127708 | − | 0.147383i | ||||
\(396\) | 270.958 | + | 174.134i | 0.0343842 | + | 0.0220974i | ||||
\(397\) | 9589.69 | + | 11067.1i | 1.21232 | + | 1.39910i | 0.892151 | + | 0.451738i | \(0.149196\pi\) |
0.320174 | + | 0.947359i | \(0.396259\pi\) | |||||||
\(398\) | −329.620 | − | 2292.56i | −0.0415135 | − | 0.288733i | ||||
\(399\) | 3253.86 | + | 955.419i | 0.408262 | + | 0.119877i | ||||
\(400\) | −702.504 | + | 451.472i | −0.0878131 | + | 0.0564340i | ||||
\(401\) | 669.089 | − | 4653.61i | 0.0833234 | − | 0.579527i | −0.904797 | − | 0.425844i | \(-0.859977\pi\) |
0.988120 | − | 0.153683i | \(-0.0491136\pi\) | |||||||
\(402\) | 29.2658 | − | 64.0831i | 0.00363096 | − | 0.00795069i | ||||
\(403\) | 2267.14 | − | 4964.34i | 0.280234 | − | 0.613627i | ||||
\(404\) | −277.998 | + | 1933.52i | −0.0342350 | + | 0.238110i | ||||
\(405\) | 255.961 | − | 164.496i | 0.0314044 | − | 0.0201824i | ||||
\(406\) | −757.054 | − | 222.291i | −0.0925418 | − | 0.0271727i | ||||
\(407\) | −278.721 | − | 1938.55i | −0.0339452 | − | 0.236094i | ||||
\(408\) | 3288.94 | + | 3795.64i | 0.399085 | + | 0.460569i | ||||
\(409\) | 7892.08 | + | 5071.93i | 0.954128 | + | 0.613181i | 0.922367 | − | 0.386315i | \(-0.126252\pi\) |
0.0317610 | + | 0.999495i | \(0.489888\pi\) | |||||||
\(410\) | −216.940 | + | 250.363i | −0.0261315 | + | 0.0301574i | ||||
\(411\) | 8954.11 | − | 2629.16i | 1.07463 | − | 0.315540i | ||||
\(412\) | −3528.90 | − | 7727.22i | −0.421982 | − | 0.924012i | ||||
\(413\) | 4057.93 | 0.483481 | ||||||||
\(414\) | −1209.18 | − | 1069.50i | −0.143546 | − | 0.126964i | ||||
\(415\) | 134.850 | 0.0159507 | ||||||||
\(416\) | 2329.29 | + | 5100.44i | 0.274526 | + | 0.601129i | ||||
\(417\) | 4635.99 | − | 1361.25i | 0.544426 | − | 0.159858i | ||||
\(418\) | 536.708 | − | 619.393i | 0.0628020 | − | 0.0724773i | ||||
\(419\) | 12774.5 | + | 8209.67i | 1.48944 | + | 0.957204i | 0.996180 | + | 0.0873221i | \(0.0278309\pi\) |
0.493259 | + | 0.869882i | \(0.335805\pi\) | |||||||
\(420\) | −592.324 | − | 683.578i | −0.0688154 | − | 0.0794172i | ||||
\(421\) | 316.517 | + | 2201.42i | 0.0366415 | + | 0.254847i | 0.999906 | − | 0.0137069i | \(-0.00436318\pi\) |
−0.963265 | + | 0.268554i | \(0.913454\pi\) | |||||||
\(422\) | −312.730 | − | 91.8258i | −0.0360745 | − | 0.0105924i | ||||
\(423\) | 1663.98 | − | 1069.37i | 0.191265 | − | 0.122919i | ||||
\(424\) | −833.433 | + | 5796.65i | −0.0954601 | + | 0.663940i | ||||
\(425\) | 3550.93 | − | 7775.46i | 0.405284 | − | 0.887448i | ||||
\(426\) | −637.824 | + | 1396.64i | −0.0725415 | + | 0.158844i | ||||
\(427\) | 892.685 | − | 6208.76i | 0.101171 | − | 0.703661i | ||||
\(428\) | −3182.21 | + | 2045.08i | −0.359388 | + | 0.230965i | ||||
\(429\) | −579.865 | − | 170.264i | −0.0652591 | − | 0.0191618i | ||||
\(430\) | −148.117 | − | 1030.17i | −0.0166112 | − | 0.115533i | ||||
\(431\) | 4087.49 | + | 4717.22i | 0.456816 | + | 0.527194i | 0.936698 | − | 0.350140i | \(-0.113866\pi\) |
−0.479882 | + | 0.877333i | \(0.659320\pi\) | |||||||
\(432\) | −171.049 | − | 109.926i | −0.0190500 | − | 0.0122427i | ||||
\(433\) | −4926.32 | + | 5685.28i | −0.546753 | + | 0.630986i | −0.960123 | − | 0.279577i | \(-0.909806\pi\) |
0.413371 | + | 0.910563i | \(0.364351\pi\) | |||||||
\(434\) | −4232.89 | + | 1242.89i | −0.468169 | + | 0.137467i | ||||
\(435\) | −151.564 | − | 331.879i | −0.0167056 | − | 0.0365802i | ||||
\(436\) | −5179.10 | −0.568885 | ||||||||
\(437\) | 6342.93 | − | 5384.17i | 0.694333 | − | 0.589381i | ||||
\(438\) | 5248.35 | 0.572548 | ||||||||
\(439\) | −1272.57 | − | 2786.54i | −0.138352 | − | 0.302948i | 0.827755 | − | 0.561089i | \(-0.189617\pi\) |
−0.966107 | + | 0.258141i | \(0.916890\pi\) | |||||||
\(440\) | −523.035 | + | 153.577i | −0.0566698 | + | 0.0166398i | ||||
\(441\) | 697.819 | − | 805.326i | 0.0753502 | − | 0.0869588i | ||||
\(442\) | −3179.06 | − | 2043.05i | −0.342109 | − | 0.219860i | ||||
\(443\) | 1031.17 | + | 1190.04i | 0.110593 | + | 0.127631i | 0.808347 | − | 0.588707i | \(-0.200363\pi\) |
−0.697754 | + | 0.716337i | \(0.745817\pi\) | |||||||
\(444\) | 670.199 | + | 4661.34i | 0.0716357 | + | 0.498237i | ||||
\(445\) | −5616.26 | − | 1649.08i | −0.598284 | − | 0.175672i | ||||
\(446\) | 7472.79 | − | 4802.47i | 0.793379 | − | 0.509874i | ||||
\(447\) | −223.087 | + | 1551.60i | −0.0236055 | + | 0.164180i | ||||
\(448\) | 1507.82 | − | 3301.66i | 0.159013 | − | 0.348189i | ||||
\(449\) | 1846.55 | − | 4043.39i | 0.194085 | − | 0.424987i | −0.787422 | − | 0.616415i | \(-0.788584\pi\) |
0.981507 | + | 0.191428i | \(0.0613117\pi\) | |||||||
\(450\) | 230.959 | − | 1606.35i | 0.0241944 | − | 0.168276i | ||||
\(451\) | −304.872 | + | 195.929i | −0.0318312 | + | 0.0204566i | ||||
\(452\) | 5767.95 | + | 1693.62i | 0.600225 | + | 0.176242i | ||||
\(453\) | 52.1729 | + | 362.870i | 0.00541125 | + | 0.0376360i | ||||
\(454\) | 4839.41 | + | 5584.98i | 0.500275 | + | 0.577348i | ||||
\(455\) | 1427.74 | + | 917.551i | 0.147106 | + | 0.0945395i | ||||
\(456\) | −3218.24 | + | 3714.05i | −0.330500 | + | 0.381417i | ||||
\(457\) | −2283.76 | + | 670.572i | −0.233763 | + | 0.0686390i | −0.396516 | − | 0.918028i | \(-0.629781\pi\) |
0.162753 | + | 0.986667i | \(0.447963\pi\) | |||||||
\(458\) | 2553.63 | + | 5591.68i | 0.260532 | + | 0.570485i | ||||
\(459\) | 2081.28 | 0.211647 | ||||||||
\(460\) | −2199.61 | + | 293.445i | −0.222951 | + | 0.0297433i | ||||
\(461\) | −15935.0 | −1.60991 | −0.804955 | − | 0.593336i | \(-0.797811\pi\) | ||||
−0.804955 | + | 0.593336i | \(0.797811\pi\) | |||||||
\(462\) | 202.940 | + | 444.376i | 0.0204364 | + | 0.0447494i | ||||
\(463\) | −12305.0 | + | 3613.08i | −1.23513 | + | 0.362665i | −0.833182 | − | 0.552999i | \(-0.813483\pi\) |
−0.401943 | + | 0.915665i | \(0.631665\pi\) | |||||||
\(464\) | −159.665 | + | 184.263i | −0.0159747 | + | 0.0184358i | ||||
\(465\) | −1716.13 | − | 1102.89i | −0.171148 | − | 0.109990i | ||||
\(466\) | −6507.56 | − | 7510.12i | −0.646903 | − | 0.746566i | ||||
\(467\) | 759.366 | + | 5281.51i | 0.0752447 | + | 0.523338i | 0.992230 | + | 0.124417i | \(0.0397062\pi\) |
−0.916985 | + | 0.398921i | \(0.869385\pi\) | |||||||
\(468\) | 1394.32 | + | 409.409i | 0.137719 | + | 0.0404379i | ||||
\(469\) | −182.071 | + | 117.010i | −0.0179259 | + | 0.0115203i | ||||
\(470\) | −191.046 | + | 1328.76i | −0.0187496 | + | 0.130406i | ||||
\(471\) | −2902.86 | + | 6356.37i | −0.283984 | + | 0.621839i | ||||
\(472\) | −2442.87 | + | 5349.13i | −0.238225 | + | 0.521639i | ||||
\(473\) | 162.033 | − | 1126.96i | 0.0157511 | − | 0.109551i | ||||
\(474\) | 1672.64 | − | 1074.94i | 0.162082 | − | 0.104164i | ||||
\(475\) | 8025.37 | + | 2356.46i | 0.775220 | + | 0.227625i | ||||
\(476\) | −880.532 | − | 6124.24i | −0.0847881 | − | 0.589714i | ||||
\(477\) | 1589.26 | + | 1834.10i | 0.152551 | + | 0.176054i | ||||
\(478\) | −7805.68 | − | 5016.40i | −0.746911 | − | 0.480010i | ||||
\(479\) | 7190.90 | − | 8298.74i | 0.685930 | − | 0.791606i | −0.300850 | − | 0.953672i | \(-0.597270\pi\) |
0.986780 | + | 0.162066i | \(0.0518157\pi\) | |||||||
\(480\) | 2011.00 | − | 590.482i | 0.191227 | − | 0.0561494i | ||||
\(481\) | −3670.68 | − | 8037.67i | −0.347960 | − | 0.761926i | ||||
\(482\) | −7036.62 | −0.664957 | ||||||||
\(483\) | 1348.70 | + | 4772.36i | 0.127056 | + | 0.449585i | ||||
\(484\) | 6889.41 | 0.647014 | ||||||||
\(485\) | 539.555 | + | 1181.46i | 0.0505153 | + | 0.110613i | ||||
\(486\) | 379.138 | − | 111.325i | 0.0353869 | − | 0.0103905i | ||||
\(487\) | −5775.27 | + | 6665.02i | −0.537377 | + | 0.620166i | −0.957895 | − | 0.287118i | \(-0.907303\pi\) |
0.420518 | + | 0.907284i | \(0.361848\pi\) | |||||||
\(488\) | 7646.95 | + | 4914.40i | 0.709346 | + | 0.455869i | ||||
\(489\) | −6771.81 | − | 7815.08i | −0.626241 | − | 0.722720i | ||||
\(490\) | 102.923 | + | 715.844i | 0.00948894 | + | 0.0659970i | ||||
\(491\) | −2659.86 | − | 781.004i | −0.244476 | − | 0.0717846i | 0.157199 | − | 0.987567i | \(-0.449754\pi\) |
−0.401675 | + | 0.915782i | \(0.631572\pi\) | |||||||
\(492\) | 733.081 | − | 471.122i | 0.0671744 | − | 0.0431704i | ||||
\(493\) | 355.180 | − | 2470.33i | 0.0324473 | − | 0.225676i | ||||
\(494\) | 1536.09 | − | 3363.57i | 0.139903 | − | 0.306344i | ||||
\(495\) | −93.8417 | + | 205.485i | −0.00852095 | + | 0.0186583i | ||||
\(496\) | −194.009 | + | 1349.36i | −0.0175630 | + | 0.122153i | ||||
\(497\) | 3968.08 | − | 2550.13i | 0.358134 | − | 0.230159i | ||||
\(498\) | 168.036 | + | 49.3399i | 0.0151202 | + | 0.00443970i | ||||
\(499\) | 2058.37 | + | 14316.3i | 0.184660 | + | 1.28434i | 0.845566 | + | 0.533871i | \(0.179263\pi\) |
−0.660906 | + | 0.750469i | \(0.729828\pi\) | |||||||
\(500\) | −3107.73 | − | 3586.51i | −0.277964 | − | 0.320787i | ||||
\(501\) | −2453.03 | − | 1576.47i | −0.218749 | − | 0.140582i | ||||
\(502\) | −6684.58 | + | 7714.41i | −0.594317 | + | 0.685879i | ||||
\(503\) | −20520.4 | + | 6025.33i | −1.81901 | + | 0.534108i | −0.999254 | − | 0.0386120i | \(-0.987706\pi\) |
−0.819751 | + | 0.572720i | \(0.805888\pi\) | |||||||
\(504\) | −1216.88 | − | 2664.60i | −0.107548 | − | 0.235497i | ||||
\(505\) | −1370.03 | −0.120724 | ||||||||
\(506\) | 1184.54 | + | 182.631i | 0.104069 | + | 0.0160453i | ||||
\(507\) | 3864.34 | 0.338504 | ||||||||
\(508\) | −5251.35 | − | 11498.8i | −0.458643 | − | 1.00429i | ||||
\(509\) | −10470.0 | + | 3074.27i | −0.911739 | + | 0.267711i | −0.703773 | − | 0.710425i | \(-0.748503\pi\) |
−0.207966 | + | 0.978136i | \(0.566684\pi\) | |||||||
\(510\) | −925.014 | + | 1067.52i | −0.0803143 | + | 0.0926876i | ||||
\(511\) | −13563.9 | − | 8717.00i | −1.17423 | − | 0.754632i | ||||
\(512\) | −1774.02 | − | 2047.32i | −0.153127 | − | 0.176718i | ||||
\(513\) | 289.831 | + | 2015.82i | 0.0249441 | + | 0.173490i | ||||
\(514\) | 8494.16 | + | 2494.11i | 0.728913 | + | 0.214028i | ||||
\(515\) | 5012.14 | − | 3221.11i | 0.428857 | − | 0.275610i | ||||
\(516\) | −389.616 | + | 2709.84i | −0.0332401 | + | 0.231190i | ||||
\(517\) | −610.055 | + | 1335.83i | −0.0518959 | + | 0.113636i | ||||
\(518\) | −2967.19 | + | 6497.25i | −0.251682 | + | 0.551106i | ||||
\(519\) | 1207.44 | − | 8397.91i | 0.102121 | − | 0.710264i | ||||
\(520\) | −2069.00 | + | 1329.67i | −0.174484 | + | 0.112134i | ||||
\(521\) | −10828.9 | − | 3179.64i | −0.910598 | − | 0.267376i | −0.207305 | − | 0.978276i | \(-0.566469\pi\) |
−0.703292 | + | 0.710901i | \(0.748288\pi\) | |||||||
\(522\) | −67.4331 | − | 469.007i | −0.00565415 | − | 0.0393255i | ||||
\(523\) | 3720.39 | + | 4293.56i | 0.311054 | + | 0.358976i | 0.889654 | − | 0.456636i | \(-0.150946\pi\) |
−0.578599 | + | 0.815612i | \(0.696400\pi\) | |||||||
\(524\) | −7457.97 | − | 4792.94i | −0.621761 | − | 0.399582i | ||||
\(525\) | −3264.89 | + | 3767.88i | −0.271412 | + | 0.313226i | ||||
\(526\) | 7378.78 | − | 2166.61i | 0.611654 | − | 0.179598i | ||||
\(527\) | −5796.84 | − | 12693.3i | −0.479154 | − | 1.04920i | ||||
\(528\) | 150.959 | 0.0124425 | ||||||||
\(529\) | 11602.0 | + | 3664.68i | 0.953561 | + | 0.301198i | ||||
\(530\) | −1647.07 | −0.134989 | ||||||||
\(531\) | 1012.33 | + | 2216.70i | 0.0827336 | + | 0.181161i | ||||
\(532\) | 5808.98 | − | 1705.67i | 0.473405 | − | 0.139004i | ||||
\(533\) | −1070.74 | + | 1235.70i | −0.0870149 | + | 0.100421i | ||||
\(534\) | −6395.00 | − | 4109.82i | −0.518238 | − | 0.333051i | ||||
\(535\) | −1737.36 | − | 2005.02i | −0.140398 | − | 0.162027i | ||||
\(536\) | −44.6351 | − | 310.444i | −0.00359690 | − | 0.0250170i | ||||
\(537\) | 1139.68 | + | 334.640i | 0.0915844 | + | 0.0268916i | ||||
\(538\) | 2067.78 | − | 1328.88i | 0.165703 | − | 0.106491i | ||||
\(539\) | −112.593 | + | 783.100i | −0.00899762 | + | 0.0625798i | ||||
\(540\) | 225.647 | − | 494.099i | 0.0179821 | − | 0.0393752i | ||||
\(541\) | −1228.44 | + | 2689.91i | −0.0976243 | + | 0.213767i | −0.952143 | − | 0.305654i | \(-0.901125\pi\) |
0.854518 | + | 0.519421i | \(0.173852\pi\) | |||||||
\(542\) | −1046.05 | + | 7275.43i | −0.0828997 | + | 0.576580i | ||||
\(543\) | −6586.64 | + | 4232.98i | −0.520552 | + | 0.334539i | ||||
\(544\) | 13756.1 | + | 4039.16i | 1.08417 | + | 0.318341i | ||||
\(545\) | −516.944 | − | 3595.42i | −0.0406302 | − | 0.282589i | ||||
\(546\) | 1443.37 | + | 1665.74i | 0.113133 | + | 0.130563i | ||||
\(547\) | 2517.13 | + | 1617.66i | 0.196754 | + | 0.126446i | 0.635309 | − | 0.772258i | \(-0.280873\pi\) |
−0.438554 | + | 0.898705i | \(0.644509\pi\) | |||||||
\(548\) | 10910.2 | − | 12591.0i | 0.850472 | − | 0.981497i | ||||
\(549\) | 3614.33 | − | 1061.26i | 0.280976 | − | 0.0825019i | ||||
\(550\) | 500.534 | + | 1096.02i | 0.0388051 | + | 0.0849714i | ||||
\(551\) | 2442.09 | 0.188814 | ||||||||
\(552\) | −7102.80 | − | 1095.10i | −0.547673 | − | 0.0844397i | ||||
\(553\) | −6108.15 | −0.469701 | ||||||||
\(554\) | 3175.73 | + | 6953.87i | 0.243545 | + | 0.533288i | ||||
\(555\) | −3169.09 | + | 930.529i | −0.242379 | + | 0.0711689i | ||||
\(556\) | 5648.74 | − | 6518.99i | 0.430863 | − | 0.497242i | ||||
\(557\) | 12507.5 | + | 8038.09i | 0.951455 | + | 0.611463i | 0.921621 | − | 0.388092i | \(-0.126866\pi\) |
0.0298343 | + | 0.999555i | \(0.490502\pi\) | |||||||
\(558\) | −1734.93 | − | 2002.22i | −0.131623 | − | 0.151901i | ||||
\(559\) | −731.052 | − | 5084.58i | −0.0553134 | − | 0.384713i | ||||
\(560\) | −406.759 | − | 119.435i | −0.0306942 | − | 0.00901262i | ||||
\(561\) | −1299.95 | + | 835.424i | −0.0978320 | + | 0.0628728i | ||||
\(562\) | −1269.27 | + | 8827.97i | −0.0952686 | + | 0.662608i | ||||
\(563\) | 5104.56 | − | 11177.4i | 0.382116 | − | 0.836718i | −0.616658 | − | 0.787231i | \(-0.711514\pi\) |
0.998775 | − | 0.0494872i | \(-0.0157587\pi\) | |||||||
\(564\) | 1466.91 | − | 3212.09i | 0.109518 | − | 0.239811i | ||||
\(565\) | −600.025 | + | 4173.26i | −0.0446783 | + | 0.310744i | ||||
\(566\) | 7079.91 | − | 4549.98i | 0.525779 | − | 0.337898i | ||||
\(567\) | −1164.75 | − | 342.001i | −0.0862695 | − | 0.0253310i | ||||
\(568\) | 972.785 | + | 6765.87i | 0.0718612 | + | 0.499805i | ||||
\(569\) | −9155.28 | − | 10565.8i | −0.674533 | − | 0.778453i | 0.310545 | − | 0.950559i | \(-0.399488\pi\) |
−0.985078 | + | 0.172106i | \(0.944943\pi\) | |||||||
\(570\) | −1162.76 | − | 747.259i | −0.0854431 | − | 0.0549109i | ||||
\(571\) | 10044.4 | − | 11591.8i | 0.736154 | − | 0.849568i | −0.256996 | − | 0.966413i | \(-0.582733\pi\) |
0.993150 | + | 0.116845i | \(0.0372781\pi\) | |||||||
\(572\) | −1035.21 | + | 303.965i | −0.0756719 | + | 0.0222193i | ||||
\(573\) | −295.591 | − | 647.253i | −0.0215506 | − | 0.0471892i | ||||
\(574\) | 1321.71 | 0.0961097 | ||||||||
\(575\) | 3326.46 | + | 11770.6i | 0.241257 | + | 0.853685i | ||||
\(576\) | 2179.74 | 0.157678 | ||||||||
\(577\) | −1948.97 | − | 4267.65i | −0.140618 | − | 0.307911i | 0.826200 | − | 0.563377i | \(-0.190498\pi\) |
−0.966818 | + | 0.255467i | \(0.917771\pi\) | |||||||
\(578\) | −1605.53 | + | 471.427i | −0.115539 | + | 0.0339252i | ||||
\(579\) | −4213.53 | + | 4862.67i | −0.302432 | + | 0.349026i | ||||
\(580\) | −547.952 | − | 352.147i | −0.0392284 | − | 0.0252106i | ||||
\(581\) | −352.326 | − | 406.606i | −0.0251583 | − | 0.0290342i | ||||
\(582\) | 240.056 | + | 1669.63i | 0.0170973 | + | 0.118914i | ||||
\(583\) | −1728.84 | − | 507.632i | −0.122815 | − | 0.0360617i | ||||
\(584\) | 19656.1 | − | 12632.2i | 1.39277 | − | 0.895077i | ||||
\(585\) | −145.047 | + | 1008.82i | −0.0102512 | + | 0.0712987i | ||||
\(586\) | 6314.26 | − | 13826.3i | 0.445119 | − | 0.974675i | ||||
\(587\) | −11290.2 | + | 24722.0i | −0.793859 | + | 1.73831i | −0.128600 | + | 0.991697i | \(0.541048\pi\) |
−0.665259 | + | 0.746612i | \(0.731679\pi\) | |||||||
\(588\) | 270.735 | − | 1883.01i | 0.0189880 | − | 0.132064i | ||||
\(589\) | 11486.8 | − | 7382.11i | 0.803574 | − | 0.516426i | ||||
\(590\) | −1586.91 | − | 465.958i | −0.110732 | − | 0.0325139i | ||||
\(591\) | 1943.13 | + | 13514.8i | 0.135245 | + | 0.940648i | ||||
\(592\) | 1445.40 | + | 1668.08i | 0.100347 | + | 0.115807i | ||||
\(593\) | 12905.6 | + | 8293.90i | 0.893706 | + | 0.574350i | 0.904917 | − | 0.425587i | \(-0.139932\pi\) |
−0.0112116 | + | 0.999937i | \(0.503569\pi\) | |||||||
\(594\) | −192.119 | + | 221.717i | −0.0132706 | + | 0.0153151i | ||||
\(595\) | 4163.67 | − | 1222.56i | 0.286880 | − | 0.0842356i | ||||
\(596\) | 1162.54 | + | 2545.61i | 0.0798984 | + | 0.174953i | ||||
\(597\) | −4273.03 | −0.292937 | ||||||||
\(598\) | 5360.00 | − | 715.066i | 0.366533 | − | 0.0488984i | ||||
\(599\) | −25732.8 | −1.75528 | −0.877640 | − | 0.479321i | \(-0.840883\pi\) | ||||
−0.877640 | + | 0.479321i | \(0.840883\pi\) | |||||||
\(600\) | −3001.33 | − | 6572.01i | −0.204215 | − | 0.447168i | ||||
\(601\) | 17750.9 | − | 5212.15i | 1.20479 | − | 0.353757i | 0.383105 | − | 0.923705i | \(-0.374855\pi\) |
0.821681 | + | 0.569948i | \(0.193037\pi\) | |||||||
\(602\) | −2719.23 | + | 3138.16i | −0.184099 | + | 0.212461i | ||||
\(603\) | −109.340 | − | 70.2682i | −0.00738416 | − | 0.00474551i | ||||
\(604\) | 428.593 | + | 494.622i | 0.0288728 | + | 0.0333210i | ||||
\(605\) | 687.656 | + | 4782.75i | 0.0462102 | + | 0.321399i | ||||
\(606\) | −1707.19 | − | 501.276i | −0.114439 | − | 0.0336022i | ||||
\(607\) | −2106.22 | + | 1353.59i | −0.140838 | + | 0.0905114i | −0.609163 | − | 0.793045i | \(-0.708494\pi\) |
0.468324 | + | 0.883557i | \(0.344858\pi\) | |||||||
\(608\) | −1996.49 | + | 13885.9i | −0.133172 | + | 0.926230i | ||||
\(609\) | −604.700 | + | 1324.11i | −0.0402359 | + | 0.0881044i | ||||
\(610\) | −1062.03 | + | 2325.52i | −0.0704922 | + | 0.154356i | ||||
\(611\) | −942.937 | + | 6558.27i | −0.0624340 | + | 0.434238i | ||||
\(612\) | 3125.79 | − | 2008.82i | 0.206458 | − | 0.132683i | ||||
\(613\) | 13455.2 | + | 3950.80i | 0.886541 | + | 0.260312i | 0.693136 | − | 0.720807i | \(-0.256229\pi\) |
0.193405 | + | 0.981119i | \(0.438047\pi\) | |||||||
\(614\) | 253.753 | + | 1764.89i | 0.0166786 | + | 0.116002i | ||||
\(615\) | 400.233 | + | 461.893i | 0.0262422 | + | 0.0302851i | ||||
\(616\) | 1829.61 | + | 1175.82i | 0.119671 | + | 0.0769078i | ||||
\(617\) | 10081.1 | − | 11634.3i | 0.657782 | − | 0.759121i | −0.324631 | − | 0.945841i | \(-0.605240\pi\) |
0.982413 | + | 0.186720i | \(0.0597856\pi\) | |||||||
\(618\) | 7424.15 | − | 2179.93i | 0.483241 | − | 0.141892i | ||||
\(619\) | 2109.89 | + | 4620.01i | 0.137001 | + | 0.299990i | 0.965680 | − | 0.259733i | \(-0.0836347\pi\) |
−0.828680 | + | 0.559723i | \(0.810907\pi\) | |||||||
\(620\) | −3641.88 | −0.235906 | ||||||||
\(621\) | −2270.51 | + | 1927.31i | −0.146719 | + | 0.124542i | ||||
\(622\) | −3068.52 | −0.197808 | ||||||||
\(623\) | 9701.32 | + | 21242.9i | 0.623877 | + | 1.36610i | ||||
\(624\) | 653.502 | − | 191.886i | 0.0419247 | − | 0.0123102i | ||||
\(625\) | −6897.57 | + | 7960.22i | −0.441445 | + | 0.509454i | ||||
\(626\) | 1526.85 | + | 981.248i | 0.0974844 | + | 0.0626494i | ||||
\(627\) | −990.171 | − | 1142.72i | −0.0630679 | − | 0.0727843i | ||||
\(628\) | 1775.40 | + | 12348.1i | 0.112812 | + | 0.784625i | ||||
\(629\) | −21678.0 | − | 6365.23i | −1.37418 | − | 0.403495i | ||||
\(630\) | 693.082 | − | 445.417i | 0.0438303 | − | 0.0281680i | ||||
\(631\) | 1932.02 | − | 13437.5i | 0.121890 | − | 0.847761i | −0.833522 | − | 0.552486i | \(-0.813679\pi\) |
0.955412 | − | 0.295276i | \(-0.0954115\pi\) | |||||||
\(632\) | 3677.10 | − | 8051.72i | 0.231435 | − | 0.506772i | ||||
\(633\) | −249.794 | + | 546.973i | −0.0156847 | + | 0.0343447i | ||||
\(634\) | 1045.30 | − | 7270.25i | 0.0654800 | − | 0.455424i | ||||
\(635\) | 7458.55 | − | 4793.32i | 0.466116 | − | 0.299554i | ||||
\(636\) | 4157.08 | + | 1220.63i | 0.259181 | + | 0.0761023i | ||||
\(637\) | 507.991 | + | 3533.16i | 0.0315971 | + | 0.219762i | ||||
\(638\) | 230.377 | + | 265.869i | 0.0142958 | + | 0.0164982i | ||||
\(639\) | 2382.97 | + | 1531.44i | 0.147525 | + | 0.0948088i | ||||
\(640\) | 2691.28 | − | 3105.91i | 0.166222 | − | 0.191831i | ||||
\(641\) | −28557.1 | + | 8385.13i | −1.75965 | + | 0.516681i | −0.992225 | − | 0.124453i | \(-0.960282\pi\) |
−0.767429 | + | 0.641134i | \(0.778464\pi\) | |||||||
\(642\) | −1431.30 | − | 3134.12i | −0.0879892 | − | 0.192670i | ||||
\(643\) | 4484.72 | 0.275054 | 0.137527 | − | 0.990498i | \(-0.456085\pi\) | ||||
0.137527 | + | 0.990498i | \(0.456085\pi\) | |||||||
\(644\) | 6631.76 | + | 5865.65i | 0.405789 | + | 0.358911i | ||||
\(645\) | −1920.11 | −0.117216 | ||||||||
\(646\) | −3927.62 | − | 8600.28i | −0.239211 | − | 0.523798i | ||||
\(647\) | 14556.3 | − | 4274.12i | 0.884495 | − | 0.259711i | 0.192226 | − | 0.981351i | \(-0.438429\pi\) |
0.692269 | + | 0.721639i | \(0.256611\pi\) | |||||||
\(648\) | 1152.00 | − | 1329.48i | 0.0698376 | − | 0.0805969i | ||||
\(649\) | −1522.07 | − | 978.177i | −0.0920595 | − | 0.0591630i | ||||
\(650\) | 3559.96 | + | 4108.42i | 0.214820 | + | 0.247916i | ||||
\(651\) | 1158.29 | + | 8056.09i | 0.0697343 | + | 0.485013i | ||||
\(652\) | −17713.3 | − | 5201.09i | −1.06397 | − | 0.312408i | ||||
\(653\) | 1666.48 | − | 1070.98i | 0.0998691 | − | 0.0641820i | −0.489753 | − | 0.871861i | \(-0.662913\pi\) |
0.589622 | + | 0.807679i | \(0.299277\pi\) | |||||||
\(654\) | 671.355 | − | 4669.37i | 0.0401407 | − | 0.279185i | ||||
\(655\) | 2582.94 | − | 5655.85i | 0.154082 | − | 0.337393i | ||||
\(656\) | 169.665 | − | 371.515i | 0.0100980 | − | 0.0221116i | ||||
\(657\) | 1377.99 | − | 9584.12i | 0.0818272 | − | 0.569121i | ||||
\(658\) | 4505.66 | − | 2895.61i | 0.266944 | − | 0.171554i | ||||
\(659\) | −9945.07 | − | 2920.14i | −0.587868 | − | 0.172614i | −0.0257467 | − | 0.999668i | \(-0.508196\pi\) |
−0.562121 | + | 0.827055i | \(0.690015\pi\) | |||||||
\(660\) | 57.3938 | + | 399.183i | 0.00338493 | + | 0.0235427i | ||||
\(661\) | 13871.6 | + | 16008.7i | 0.816253 | + | 0.942006i | 0.999154 | − | 0.0411252i | \(-0.0130943\pi\) |
−0.182901 | + | 0.983131i | \(0.558549\pi\) | |||||||
\(662\) | −14056.9 | − | 9033.83i | −0.825283 | − | 0.530377i | ||||
\(663\) | −4565.54 | + | 5268.92i | −0.267437 | + | 0.308639i | ||||
\(664\) | 748.085 | − | 219.657i | 0.0437219 | − | 0.0128379i | ||||
\(665\) | 1763.92 | + | 3862.45i | 0.102860 | + | 0.225232i | ||||
\(666\) | −4289.45 | −0.249569 | ||||||||
\(667\) | 1900.11 | + | 3023.84i | 0.110304 | + | 0.175537i | ||||
\(668\) | −5205.68 | −0.301518 | ||||||||
\(669\) | −6807.86 | − | 14907.1i | −0.393434 | − | 0.861499i | ||||
\(670\) | 84.6370 | − | 24.8517i | 0.00488031 | − | 0.00143299i | ||||
\(671\) | −1831.48 | + | 2113.64i | −0.105370 | + | 0.121604i | ||||
\(672\) | −7034.61 | − | 4520.87i | −0.403819 | − | 0.259518i | ||||
\(673\) | −15309.4 | − | 17668.0i | −0.876872 | − | 1.01196i | −0.999809 | − | 0.0195500i | \(-0.993777\pi\) |
0.122937 | − | 0.992415i | \(-0.460769\pi\) | |||||||
\(674\) | −1144.49 | − | 7960.08i | −0.0654065 | − | 0.454912i | ||||
\(675\) | −2872.75 | − | 843.517i | −0.163811 | − | 0.0480992i | ||||
\(676\) | 5803.68 | − | 3729.80i | 0.330205 | − | 0.212210i | ||||
\(677\) | 2185.24 | − | 15198.7i | 0.124056 | − | 0.862827i | −0.828831 | − | 0.559500i | \(-0.810993\pi\) |
0.952886 | − | 0.303327i | \(-0.0980976\pi\) | |||||||
\(678\) | −2274.62 | + | 4980.73i | −0.128844 | + | 0.282130i | ||||
\(679\) | 2152.68 | − | 4713.71i | 0.121667 | − | 0.266415i | ||||
\(680\) | −894.947 | + | 6224.49i | −0.0504701 | + | 0.351027i | ||||
\(681\) | 11469.5 | − | 7370.97i | 0.645390 | − | 0.414767i | ||||
\(682\) | 1887.30 | + | 554.162i | 0.105966 | + | 0.0311143i | ||||
\(683\) | 4210.21 | + | 29282.7i | 0.235870 | + | 1.64051i | 0.671944 | + | 0.740602i | \(0.265460\pi\) |
−0.436074 | + | 0.899911i | \(0.643631\pi\) | |||||||
\(684\) | 2380.92 | + | 2747.73i | 0.133095 | + | 0.153599i | ||||
\(685\) | 9829.87 | + | 6317.27i | 0.548292 | + | 0.352366i | ||||
\(686\) | 7363.43 | − | 8497.85i | 0.409821 | − | 0.472959i | ||||
\(687\) | 10881.5 | − | 3195.11i | 0.604304 | − | 0.177440i | ||||
\(688\) | 533.034 | + | 1167.18i | 0.0295374 | + | 0.0646778i | ||||
\(689\) | −8129.38 | −0.449499 | ||||||||
\(690\) | 20.5659 | − | 2021.16i | 0.00113468 | − | 0.111513i | ||||
\(691\) | 12359.8 | 0.680446 | 0.340223 | − | 0.940345i | \(-0.389497\pi\) | ||||
0.340223 | + | 0.940345i | \(0.389497\pi\) | |||||||
\(692\) | −6292.13 | − | 13777.8i | −0.345652 | − | 0.756872i | ||||
\(693\) | 864.766 | − | 253.918i | 0.0474022 | − | 0.0139186i | ||||
\(694\) | −12003.5 | + | 13852.8i | −0.656550 | + | 0.757699i | ||||
\(695\) | 5089.42 | + | 3270.77i | 0.277774 | + | 0.178514i | ||||
\(696\) | −1381.40 | − | 1594.22i | −0.0752325 | − | 0.0868230i | ||||
\(697\) | 594.975 | + | 4138.14i | 0.0323333 | + | 0.224883i | ||||
\(698\) | −1162.56 | − | 341.358i | −0.0630423 | − | 0.0185109i | ||||
\(699\) | −15423.0 | + | 9911.75i | −0.834550 | + | 0.536333i | ||||
\(700\) | −1266.69 | + | 8810.03i | −0.0683949 | + | 0.475697i | ||||
\(701\) | 9924.95 | − | 21732.6i | 0.534750 | − | 1.17094i | −0.428797 | − | 0.903401i | \(-0.641062\pi\) |
0.963547 | − | 0.267539i | \(-0.0862105\pi\) | |||||||
\(702\) | −549.857 | + | 1204.02i | −0.0295627 | + | 0.0647333i | ||||
\(703\) | 3146.23 | − | 21882.5i | 0.168794 | − | 1.17399i | ||||
\(704\) | −1361.44 | + | 874.943i | −0.0728851 | + | 0.0468404i | ||||
\(705\) | 2376.31 | + | 697.746i | 0.126946 | + | 0.0372747i | ||||
\(706\) | 640.736 | + | 4456.42i | 0.0341564 | + | 0.237563i | ||||
\(707\) | 3579.51 | + | 4130.97i | 0.190412 | + | 0.219747i | ||||
\(708\) | 3659.91 | + | 2352.08i | 0.194276 | + | 0.124854i | ||||
\(709\) | −20439.3 | + | 23588.2i | −1.08267 | + | 1.24947i | −0.116053 | + | 0.993243i | \(0.537024\pi\) |
−0.966617 | + | 0.256225i | \(0.917521\pi\) | |||||||
\(710\) | −1844.59 | + | 541.622i | −0.0975019 | + | 0.0286291i | ||||
\(711\) | −1523.80 | − | 3336.67i | −0.0803757 | − | 0.175998i | ||||
\(712\) | −33842.5 | −1.78132 | ||||||||
\(713\) | 18078.1 | + | 8479.36i | 0.949553 | + | 0.445378i | ||||
\(714\) | 5635.63 | 0.295390 | ||||||||
\(715\) | −314.346 | − | 688.322i | −0.0164418 | − | 0.0360025i | ||||
\(716\) | 2034.63 | − | 597.420i | 0.106198 | − | 0.0311824i | ||||
\(717\) | −11210.0 | + | 12937.0i | −0.583884 | + | 0.673838i | ||||
\(718\) | −8784.33 | − | 5645.35i | −0.456586 | − | 0.293430i | ||||
\(719\) | −20488.2 | − | 23644.6i | −1.06270 | − | 1.22642i | −0.973086 | − | 0.230444i | \(-0.925982\pi\) |
−0.0896139 | − | 0.995977i | \(-0.528563\pi\) | |||||||
\(720\) | −36.2313 | − | 251.994i | −0.00187536 | − | 0.0130434i | ||||
\(721\) | −22807.7 | − | 6696.95i | −1.17809 | − | 0.345919i | ||||
\(722\) | −1600.08 | + | 1028.31i | −0.0824773 | + | 0.0530050i | ||||
\(723\) | −1847.51 | + | 12849.7i | −0.0950340 | + | 0.660976i | ||||
\(724\) | −5806.58 | + | 12714.6i | −0.298066 | + | 0.652674i | ||||
\(725\) | −1491.44 | + | 3265.80i | −0.0764011 | + | 0.167295i | ||||
\(726\) | −893.058 | + | 6211.35i | −0.0456536 | + | 0.317527i | ||||
\(727\) | 12661.7 | − | 8137.17i | 0.645936 | − | 0.415118i | −0.176243 | − | 0.984347i | \(-0.556394\pi\) |
0.822179 | + | 0.569229i | \(0.192758\pi\) | |||||||
\(728\) | 9414.99 | + | 2764.49i | 0.479317 | + | 0.140740i | ||||
\(729\) | −103.748 | − | 721.580i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 4303.41 | + | 4966.40i | 0.218187 | + | 0.251801i | ||||
\(731\) | −11049.4 | − | 7101.00i | −0.559064 | − | 0.359289i | ||||
\(732\) | 4403.89 | − | 5082.35i | 0.222366 | − | 0.256625i | ||||
\(733\) | 15739.1 | − | 4621.42i | 0.793093 | − | 0.232873i | 0.140001 | − | 0.990151i | \(-0.455290\pi\) |
0.653092 | + | 0.757278i | \(0.273471\pi\) | |||||||
\(734\) | 2082.56 | + | 4560.18i | 0.104726 | + | 0.229318i | ||||
\(735\) | 1334.24 | 0.0669581 | ||||||||
\(736\) | −18747.2 | + | 8332.06i | −0.938899 | + | 0.417288i | ||||
\(737\) | 96.4977 | 0.00482298 | ||||||||
\(738\) | 329.727 | + | 722.001i | 0.0164464 | + | 0.0360125i | ||||
\(739\) | 16426.7 | − | 4823.31i | 0.817679 | − | 0.240092i | 0.153963 | − | 0.988077i | \(-0.450796\pi\) |
0.663716 | + | 0.747984i | \(0.268978\pi\) | |||||||
\(740\) | −3861.38 | + | 4456.27i | −0.191821 | + | 0.221373i | ||||
\(741\) | −5738.96 | − | 3688.21i | −0.284516 | − | 0.182847i | ||||
\(742\) | 4303.34 | + | 4966.32i | 0.212912 | + | 0.245713i | ||||
\(743\) | −1674.93 | − | 11649.4i | −0.0827017 | − | 0.575203i | −0.988469 | − | 0.151426i | \(-0.951613\pi\) |
0.905767 | − | 0.423776i | \(-0.139296\pi\) | |||||||
\(744\) | −11316.8 | − | 3322.90i | −0.557652 | − | 0.163741i | ||||
\(745\) | −1651.17 | + | 1061.14i | −0.0812001 | + | 0.0521842i | ||||
\(746\) | 1970.12 | − | 13702.5i | 0.0966906 | − | 0.672498i | ||||
\(747\) | 134.219 | − | 293.900i | 0.00657407 | − | 0.0143952i | ||||
\(748\) | −1145.99 | + | 2509.37i | −0.0560182 | + | 0.122663i | ||||
\(749\) | −1506.38 | + | 10477.1i | −0.0734873 | + | 0.511115i | ||||
\(750\) | 3636.37 | − | 2336.95i | 0.177042 | − | 0.113778i | ||||
\(751\) | −35482.3 | − | 10418.6i | −1.72406 | − | 0.506230i | −0.738312 | − | 0.674459i | \(-0.764377\pi\) |
−0.985748 | + | 0.168230i | \(0.946195\pi\) | |||||||
\(752\) | −235.536 | − | 1638.19i | −0.0114217 | − | 0.0794396i | ||||
\(753\) | 12332.4 | + | 14232.3i | 0.596834 | + | 0.688784i | ||||
\(754\) | 1335.25 | + | 858.112i | 0.0644919 | + | 0.0414464i | ||||
\(755\) | −300.596 | + | 346.907i | −0.0144898 | + | 0.0167222i | ||||
\(756\) | −2079.38 | + | 610.560i | −0.100035 | + | 0.0293728i | ||||
\(757\) | −13324.8 | − | 29177.3i | −0.639761 | − | 1.40088i | −0.900237 | − | 0.435401i | \(-0.856607\pi\) |
0.260475 | − | 0.965480i | \(-0.416121\pi\) | |||||||
\(758\) | −13612.1 | −0.652261 | ||||||||
\(759\) | 644.513 | − | 2115.16i | 0.0308226 | − | 0.101153i | ||||
\(760\) | −6153.33 | −0.293690 | ||||||||
\(761\) | 4279.38 | + | 9370.54i | 0.203847 | + | 0.446362i | 0.983751 | − | 0.179536i | \(-0.0574597\pi\) |
−0.779905 | + | 0.625899i | \(0.784732\pi\) | |||||||
\(762\) | 11047.9 | − | 3243.94i | 0.525225 | − | 0.154220i | ||||
\(763\) | −9490.42 | + | 10952.5i | −0.450297 | + | 0.519670i | ||||
\(764\) | −1068.65 | − | 686.782i | −0.0506054 | − | 0.0325221i | ||||
\(765\) | 1706.56 | + | 1969.47i | 0.0806545 | + | 0.0930802i | ||||
\(766\) | 711.718 | + | 4950.11i | 0.0335711 | + | 0.233492i | ||||
\(767\) | −7832.42 | − | 2299.81i | −0.368725 | − | 0.108267i | ||||
\(768\) | 9379.89 | − | 6028.09i | 0.440713 | − | 0.283229i | ||||
\(769\) | −598.443 | + | 4162.26i | −0.0280630 | + | 0.195182i | −0.999030 | − | 0.0440304i | \(-0.985980\pi\) |
0.970967 | + | 0.239213i | \(0.0768893\pi\) | |||||||
\(770\) | −254.101 | + | 556.404i | −0.0118924 | + | 0.0260408i | ||||
\(771\) | 6784.74 | − | 14856.5i | 0.316921 | − | 0.693961i | ||||
\(772\) | −1634.74 | + | 11369.9i | −0.0762119 | + | 0.530066i | ||||
\(773\) | 26651.4 | − | 17127.8i | 1.24008 | − | 0.796952i | 0.254652 | − | 0.967033i | \(-0.418039\pi\) |
0.985430 | + | 0.170081i | \(0.0544028\pi\) | |||||||
\(774\) | −2392.63 | − | 702.541i | −0.111113 | − | 0.0326257i | ||||
\(775\) | 2856.83 | + | 19869.7i | 0.132413 | + | 0.920955i | ||||
\(776\) | 4917.67 | + | 5675.29i | 0.227492 | + | 0.262540i | ||||
\(777\) | 11085.7 | + | 7124.35i | 0.511837 | + | 0.328938i | ||||
\(778\) | 655.321 | − | 756.281i | 0.0301985 | − | 0.0348509i | ||||
\(779\) | −3925.12 | + | 1152.52i | −0.180529 | + | 0.0530081i | ||||
\(780\) | 755.862 | + | 1655.11i | 0.0346977 | + | 0.0759773i | ||||
\(781\) | −2103.09 | −0.0963565 | ||||||||
\(782\) | 7593.06 | − | 11554.8i | 0.347222 | − | 0.528388i | ||||
\(783\) | −874.168 | −0.0398981 | ||||||||
\(784\) | −370.393 | − | 811.047i | −0.0168729 | − | 0.0369464i | ||||
\(785\) | −8395.09 | + | 2465.02i | −0.381699 | + | 0.112077i | ||||
\(786\) | 5287.98 | − | 6102.66i | 0.239970 | − | 0.276940i | ||||
\(787\) | 7738.82 | + | 4973.44i | 0.350520 | + | 0.225265i | 0.704038 | − | 0.710162i | \(-0.251378\pi\) |
−0.353518 | + | 0.935428i | \(0.615015\pi\) | |||||||
\(788\) | 15962.5 | + | 18421.7i | 0.721626 | + | 0.832801i | ||||
\(789\) | −2019.14 | − | 14043.4i | −0.0911066 | − | 0.633660i | ||||
\(790\) | 2388.67 | + | 701.378i | 0.107576 | + | 0.0315872i | ||||
\(791\) | 14151.1 | − | 9094.34i | 0.636099 | − | 0.408796i | ||||
\(792\) | −185.875 | + | 1292.79i | −0.00833935 | + | 0.0580015i | ||||
\(793\) | −5241.80 | + | 11477.9i | −0.234731 | + | 0.513989i | ||||
\(794\) | −9892.06 | + | 21660.6i | −0.442136 | + | 0.968143i | ||||
\(795\) | −432.450 | + | 3007.75i | −0.0192923 | + | 0.134181i | ||||
\(796\) | −6417.48 | + | 4124.26i | −0.285756 | + | 0.183644i | ||||
\(797\) | 1479.06 | + | 434.291i | 0.0657352 | + | 0.0193016i | 0.314435 | − | 0.949279i | \(-0.398185\pi\) |
−0.248700 | + | 0.968581i | \(0.580003\pi\) | |||||||
\(798\) | 784.794 | + | 5458.36i | 0.0348138 | + | 0.242135i | ||||
\(799\) | 11094.2 | + | 12803.3i | 0.491218 | + | 0.566895i | ||||
\(800\) | −17350.3 | − | 11150.4i | −0.766782 | − | 0.492781i | ||||
\(801\) | −9184.07 | + | 10599.0i | −0.405123 | + | 0.467536i | ||||
\(802\) | 7335.40 | − | 2153.87i | 0.322970 | − | 0.0948326i | ||||
\(803\) | 2986.38 | + | 6539.25i | 0.131242 | + | 0.287379i | ||||
\(804\) | −232.034 | −0.0101781 | ||||||||
\(805\) | −3410.10 | + | 5189.36i | −0.149305 | + | 0.227206i | ||||
\(806\) | 8874.52 | 0.387831 | ||||||||
\(807\) | −1883.79 | − | 4124.92i | −0.0821716 | − | 0.179931i | ||||
\(808\) | −7600.28 | + | 2231.64i | −0.330912 | + | 0.0971645i | ||||
\(809\) | 21127.4 | − | 24382.4i | 0.918172 | − | 1.05963i | −0.0798532 | − | 0.996807i | \(-0.525445\pi\) |
0.998025 | − | 0.0628199i | \(-0.0200094\pi\) | |||||||
\(810\) | 416.219 | + | 267.488i | 0.0180549 | + | 0.0116032i | ||||
\(811\) | −28476.1 | − | 32863.2i | −1.23296 | − | 1.42291i | −0.871407 | − | 0.490560i | \(-0.836792\pi\) |
−0.361553 | − | 0.932352i | \(-0.617753\pi\) | |||||||
\(812\) | 369.836 | + | 2572.27i | 0.0159836 | + | 0.111169i | ||||
\(813\) | 13011.2 | + | 3820.42i | 0.561281 | + | 0.164807i | ||||
\(814\) | 2679.14 | − | 1721.78i | 0.115361 | − | 0.0741379i | ||||
\(815\) | 1842.66 | − | 12816.0i | 0.0791972 | − | 0.550828i | ||||
\(816\) | 723.436 | − | 1584.10i | 0.0310359 | − | 0.0679592i | ||||
\(817\) | 5338.95 | − | 11690.7i | 0.228624 | − | 0.500618i | ||||
\(818\) | −2171.02 | + | 15099.8i | −0.0927970 | + | 0.645417i | ||||
\(819\) | 3420.81 | − | 2198.42i | 0.145950 | − | 0.0937962i | ||||
\(820\) | 1046.90 | + | 307.399i | 0.0445847 | + | 0.0130913i | ||||
\(821\) | 4930.04 | + | 34289.2i | 0.209573 | + | 1.45761i | 0.774553 | + | 0.632509i | \(0.217975\pi\) |
−0.564980 | + | 0.825105i | \(0.691116\pi\) | |||||||
\(822\) | 9937.53 | + | 11468.5i | 0.421668 | + | 0.486631i | ||||
\(823\) | −2219.26 | − | 1426.23i | −0.0939959 | − | 0.0604075i | 0.492799 | − | 0.870143i | \(-0.335974\pi\) |
−0.586794 | + | 0.809736i | \(0.699610\pi\) | |||||||
\(824\) | 22558.1 | − | 26033.4i | 0.953699 | − | 1.10063i | ||||
\(825\) | 2132.87 | − | 626.268i | 0.0900087 | − | 0.0264289i | ||||
\(826\) | 2741.17 | + | 6002.32i | 0.115469 | + | 0.252842i | ||||
\(827\) | 38087.7 | 1.60150 | 0.800750 | − | 0.598999i | \(-0.204435\pi\) | ||||
0.800750 | + | 0.598999i | \(0.204435\pi\) | |||||||
\(828\) | −1549.77 | + | 5086.00i | −0.0650461 | + | 0.213467i | ||||
\(829\) | 10995.3 | 0.460654 | 0.230327 | − | 0.973113i | \(-0.426020\pi\) | ||||
0.230327 | + | 0.973113i | \(0.426020\pi\) | |||||||
\(830\) | 91.0927 | + | 199.465i | 0.00380949 | + | 0.00834161i | ||||
\(831\) | 13532.4 | − | 3973.47i | 0.564902 | − | 0.165870i | ||||
\(832\) | −4781.51 | + | 5518.16i | −0.199242 | + | 0.229937i | ||||
\(833\) | 7677.95 | + | 4934.32i | 0.319358 | + | 0.205239i | ||||
\(834\) | 5145.16 | + | 5937.83i | 0.213624 | + | 0.246535i | ||||
\(835\) | −519.597 | − | 3613.88i | −0.0215346 | − | 0.149776i | ||||
\(836\) | −2590.03 | − | 760.500i | −0.107151 | − | 0.0314623i | ||||
\(837\) | −4111.80 | + | 2642.49i | −0.169802 | + | 0.109125i | ||||
\(838\) | −3514.12 | + | 24441.2i | −0.144861 | + | 1.00753i | ||||
\(839\) | 769.822 | − | 1685.68i | 0.0316773 | − | 0.0693635i | −0.893132 | − | 0.449795i | \(-0.851497\pi\) |
0.924809 | + | 0.380431i | \(0.124224\pi\) | |||||||
\(840\) | 1523.66 | − | 3336.35i | 0.0625849 | − | 0.137042i | ||||
\(841\) | 3321.74 | − | 23103.2i | 0.136198 | − | 0.947279i | ||||
\(842\) | −3042.44 | + | 1955.26i | −0.124524 | + | 0.0800269i | ||||
\(843\) | 15787.7 | + | 4635.68i | 0.645026 | + | 0.189397i | ||||
\(844\) | 152.775 | + | 1062.57i | 0.00623072 | + | 0.0433356i | ||||
\(845\) | 3168.58 | + | 3656.74i | 0.128997 | + | 0.148870i | ||||
\(846\) | 2705.80 | + | 1738.91i | 0.109961 | + | 0.0706679i | ||||
\(847\) | 12624.5 | − | 14569.4i | 0.512139 | − | 0.591040i | ||||
\(848\) | 1948.38 | − | 572.096i | 0.0789005 | − | 0.0231673i | ||||
\(849\) | −6449.94 | − | 14123.4i | −0.260732 | − | 0.570923i | ||||
\(850\) | 13899.8 | 0.560894 | ||||||||
\(851\) | 29543.3 | − | 13130.3i | 1.19005 | − | 0.528909i | ||||
\(852\) | 5056.99 | 0.203345 | ||||||||
\(853\) | 1791.53 | + | 3922.91i | 0.0719119 | + | 0.157465i | 0.942174 | − | 0.335123i | \(-0.108778\pi\) |
−0.870262 | + | 0.492589i | \(0.836051\pi\) | |||||||
\(854\) | 9786.76 | − | 2873.65i | 0.392150 | − | 0.115146i | ||||
\(855\) | −1669.87 | + | 1927.14i | −0.0667935 | + | 0.0770838i | ||||
\(856\) | −12904.0 | − | 8292.91i | −0.515245 | − | 0.331128i | ||||
\(857\) | −7527.33 | − | 8687.00i | −0.300034 | − | 0.346257i | 0.585635 | − | 0.810575i | \(-0.300845\pi\) |
−0.885669 | + | 0.464318i | \(0.846300\pi\) | |||||||
\(858\) | −139.857 | − | 972.727i | −0.00556485 | − | 0.0387044i | ||||
\(859\) | −3455.11 | − | 1014.51i | −0.137237 | − | 0.0402964i | 0.212393 | − | 0.977184i | \(-0.431874\pi\) |
−0.349630 | + | 0.936888i | \(0.613693\pi\) | |||||||
\(860\) | −2883.73 | + | 1853.26i | −0.114342 | + | 0.0734833i | ||||
\(861\) | 347.022 | − | 2413.59i | 0.0137358 | − | 0.0955343i | ||||
\(862\) | −4216.38 | + | 9232.57i | −0.166601 | + | 0.364806i | ||||
\(863\) | −8943.35 | + | 19583.2i | −0.352764 | + | 0.772445i | 0.647185 | + | 0.762333i | \(0.275946\pi\) |
−0.999949 | + | 0.0101121i | \(0.996781\pi\) | |||||||
\(864\) | 714.662 | − | 4970.59i | 0.0281404 | − | 0.195721i | ||||
\(865\) | 8936.79 | − | 5743.33i | 0.351283 | − | 0.225756i | ||||
\(866\) | −11737.2 | − | 3446.35i | −0.460562 | − | 0.135233i | ||||
\(867\) | 439.340 | + | 3055.67i | 0.0172096 | + | 0.119696i | ||||
\(868\) | 9515.20 | + | 10981.1i | 0.372082 | + | 0.429405i | ||||
\(869\) | 2291.08 | + | 1472.39i | 0.0894358 | + | 0.0574769i | ||||
\(870\) | 388.519 | − | 448.375i | 0.0151403 | − | 0.0174728i | ||||
\(871\) | 417.738 | − | 122.659i | 0.0162509 | − | 0.00477169i | ||||
\(872\) | −8724.33 | − | 19103.6i | −0.338811 | − | 0.741892i | ||||
\(873\) | 3111.96 | 0.120646 | ||||||||
\(874\) | 12248.7 | + | 5745.14i | 0.474050 | + | 0.222348i | ||||
\(875\) | −13279.3 | −0.513055 | ||||||||
\(876\) | −7180.90 | − | 15724.0i | −0.276964 | − | 0.606466i | ||||
\(877\) | 13156.6 | − | 3863.13i | 0.506577 | − | 0.148744i | −0.0184506 | − | 0.999830i | \(-0.505873\pi\) |
0.525027 | + | 0.851085i | \(0.324055\pi\) | |||||||
\(878\) | 3262.10 | − | 3764.66i | 0.125388 | − | 0.144705i | ||||
\(879\) | −23590.6 | − | 15160.8i | −0.905224 | − | 0.581752i | ||||
\(880\) | 123.780 | + | 142.849i | 0.00474160 | + | 0.00547210i | ||||
\(881\) | 4126.12 | + | 28697.8i | 0.157790 | + | 1.09745i | 0.902695 | + | 0.430280i | \(0.141585\pi\) |
−0.744906 | + | 0.667170i | \(0.767506\pi\) | |||||||
\(882\) | 1662.59 | + | 488.179i | 0.0634719 | + | 0.0186370i | ||||
\(883\) | 11778.3 | − | 7569.44i | 0.448891 | − | 0.288484i | −0.296599 | − | 0.955002i | \(-0.595852\pi\) |
0.745489 | + | 0.666518i | \(0.232216\pi\) | |||||||
\(884\) | −1771.31 | + | 12319.7i | −0.0673933 | + | 0.468731i | ||||
\(885\) | −1267.55 | + | 2775.54i | −0.0481448 | + | 0.105422i | ||||
\(886\) | −1063.69 | + | 2329.15i | −0.0403333 | + | 0.0883176i | ||||
\(887\) | −1822.21 | + | 12673.7i | −0.0689783 | + | 0.479754i | 0.925826 | + | 0.377950i | \(0.123371\pi\) |
−0.994804 | + | 0.101805i | \(0.967538\pi\) | |||||||
\(888\) | −16064.8 | + | 10324.2i | −0.607095 | + | 0.390156i | ||||
\(889\) | −33940.1 | − | 9965.70i | −1.28044 | − | 0.375972i | ||||
\(890\) | −1354.58 | − | 9421.30i | −0.0510175 | − | 0.354835i | ||||
\(891\) | 354.441 | + | 409.046i | 0.0133268 | + | 0.0153800i | ||||
\(892\) | −24612.6 | − | 15817.5i | −0.923867 | − | 0.593733i | ||||
\(893\) | −10855.7 | + | 12528.1i | −0.406799 | + | 0.469471i | ||||
\(894\) | −2445.76 | + | 718.141i | −0.0914973 | + | 0.0268660i | ||||
\(895\) | 617.823 | + | 1352.84i | 0.0230743 | + | 0.0505258i | ||||
\(896\) | −16396.6 | −0.611353 | ||||||||
\(897\) | 101.506 | − | 9975.74i | 0.00377835 | − | 0.371327i | ||||
\(898\) | 7228.18 | 0.268605 | ||||||||
\(899\) | 2434.75 | + | 5331.37i | 0.0903265 | + | 0.197788i | ||||
\(900\) | −5128.61 | + | 1505.90i | −0.189949 | + | 0.0557739i | ||||
\(901\) | −13611.9 | + | 15709.0i | −0.503306 | + | 0.580846i | ||||
\(902\) | −495.754 | − | 318.602i | −0.0183002 | − | 0.0117608i | ||||
\(903\) | 5016.70 | + | 5789.58i | 0.184879 | + | 0.213361i | ||||
\(904\) | 3469.17 | + | 24128.6i | 0.127636 | + | 0.887727i | ||||
\(905\) | −9406.31 | − | 2761.94i | −0.345499 | − | 0.101448i | ||||
\(906\) | −501.499 | + | 322.294i | −0.0183898 | + | 0.0118184i | ||||
\(907\) | 6959.39 | − | 48403.6i | 0.254777 | − | 1.77201i | −0.313905 | − | 0.949454i | \(-0.601637\pi\) |
0.568682 | − | 0.822557i | \(-0.307454\pi\) | |||||||
\(908\) | 10111.1 | − | 22140.3i | 0.369548 | − | 0.809197i | ||||
\(909\) | −1363.62 | + | 2985.92i | −0.0497563 | + | 0.108951i | ||||
\(910\) | −392.754 | + | 2731.66i | −0.0143073 | + | 0.0995096i | ||||
\(911\) | −164.629 | + | 105.800i | −0.00598726 | + | 0.00384778i | −0.543631 | − | 0.839324i | \(-0.682951\pi\) |
0.537644 | + | 0.843172i | \(0.319315\pi\) | |||||||
\(912\) | 1635.02 | + | 480.085i | 0.0593650 | + | 0.0174311i | ||||
\(913\) | 34.1390 | + | 237.442i | 0.00123750 | + | 0.00860698i | ||||
\(914\) | −2534.58 | − | 2925.06i | −0.0917248 | − | 0.105856i | ||||
\(915\) | 3967.83 | + | 2549.97i | 0.143358 | + | 0.0921304i | ||||
\(916\) | 13258.6 | − | 15301.3i | 0.478251 | − | 0.551931i | ||||
\(917\) | −23802.2 | + | 6988.97i | −0.857164 | + | 0.251686i | ||||
\(918\) | 1405.93 | + | 3078.55i | 0.0505473 | + | 0.110683i | ||||
\(919\) | −29303.2 | −1.05182 | −0.525910 | − | 0.850540i | \(-0.676275\pi\) | ||||
−0.525910 | + | 0.850540i | \(0.676275\pi\) | |||||||
\(920\) | −4787.70 | − | 7619.15i | −0.171571 | − | 0.273039i | ||||
\(921\) | 3289.52 | 0.117691 | ||||||||
\(922\) | −10764.3 | − | 23570.4i | −0.384492 | − | 0.841921i | ||||
\(923\) | −9104.27 | + | 2673.25i | −0.324670 | + | 0.0953318i | ||||
\(924\) | 1053.68 | − | 1216.01i | 0.0375145 | − | 0.0432941i | ||||
\(925\) | 27342.0 | + | 17571.6i | 0.971890 | + | 0.624596i | ||||
\(926\) | −13656.5 | − | 15760.4i | −0.484643 | − | 0.559308i | ||||
\(927\) | −2031.55 | − | 14129.7i | −0.0719794 | − | 0.500627i | ||||
\(928\) | −5777.77 | − | 1696.51i | −0.204380 | − | 0.0600113i | ||||
\(929\) | −20516.9 | + | 13185.4i | −0.724583 | + | 0.465661i | −0.850228 | − | 0.526414i | \(-0.823536\pi\) |
0.125646 | + | 0.992075i | \(0.459900\pi\) | |||||||
\(930\) | 472.088 | − | 3283.45i | 0.0166456 | − | 0.115773i | ||||
\(931\) | −3709.91 | + | 8123.58i | −0.130599 | + | 0.285971i | ||||
\(932\) | −13596.4 | + | 29772.0i | −0.477861 | + | 1.04637i | ||||
\(933\) | −805.659 | + | 5603.48i | −0.0282702 | + | 0.196624i | ||||
\(934\) | −7299.23 | + | 4690.93i | −0.255715 | + | 0.164338i | ||||
\(935\) | −1856.44 | − | 545.099i | −0.0649326 | − | 0.0190659i | ||||
\(936\) | 838.621 | + | 5832.74i | 0.0292854 | + | 0.203685i | ||||
\(937\) | 26399.5 | + | 30466.6i | 0.920419 | + | 1.06222i | 0.997871 | + | 0.0652245i | \(0.0207764\pi\) |
−0.0774512 | + | 0.996996i | \(0.524678\pi\) | |||||||
\(938\) | −296.066 | − | 190.270i | −0.0103059 | − | 0.00662318i | ||||
\(939\) | 2192.76 | − | 2530.58i | 0.0762066 | − | 0.0879471i | ||||
\(940\) | 4242.32 | − | 1245.66i | 0.147201 | − | 0.0432222i | ||||
\(941\) | −13267.2 | − | 29051.1i | −0.459616 | − | 1.00642i | −0.987575 | − | 0.157149i | \(-0.949770\pi\) |
0.527959 | − | 0.849270i | \(-0.322958\pi\) | |||||||
\(942\) | −11363.0 | −0.393021 | ||||||||
\(943\) | −4481.07 | − | 3963.41i | −0.154744 | − | 0.136868i | ||||
\(944\) | 2039.05 | 0.0703025 | ||||||||
\(945\) | −631.412 | − | 1382.60i | −0.0217353 | − | 0.0475936i | ||||
\(946\) | 1776.41 | − | 521.601i | 0.0610529 | − | 0.0179268i | ||||
\(947\) | −6627.35 | + | 7648.37i | −0.227413 | + | 0.262448i | −0.857976 | − | 0.513689i | \(-0.828278\pi\) |
0.630564 | + | 0.776138i | \(0.282824\pi\) | |||||||
\(948\) | −5509.03 | − | 3540.44i | −0.188740 | − | 0.121296i | ||||
\(949\) | 21240.1 | + | 24512.4i | 0.726536 | + | 0.838468i | ||||
\(950\) | 1935.63 | + | 13462.6i | 0.0661054 | + | 0.459773i | ||||
\(951\) | −13001.9 | − | 3817.70i | −0.443339 | − | 0.130176i | ||||
\(952\) | 21106.6 | − | 13564.4i | 0.718558 | − | 0.461789i | ||||
\(953\) | −3536.28 | + | 24595.3i | −0.120201 | + | 0.836014i | 0.837127 | + | 0.547009i | \(0.184234\pi\) |
−0.957328 | + | 0.289005i | \(0.906676\pi\) | |||||||
\(954\) | −1639.37 | + | 3589.71i | −0.0556357 | + | 0.121825i | ||||
\(955\) | 370.110 | − | 810.428i | 0.0125408 | − | 0.0274606i | ||||
\(956\) | −4349.18 | + | 30249.2i | −0.147137 | + | 1.02336i | ||||
\(957\) | 545.995 | − | 350.890i | 0.0184425 | − | 0.0118523i | ||||
\(958\) | 17132.7 | + | 5030.60i | 0.577799 | + | 0.169657i | ||||
\(959\) | −6634.60 | − | 46144.6i | −0.223402 | − | 1.55379i | ||||
\(960\) | 1787.28 | + | 2062.63i | 0.0600878 | + | 0.0693450i | ||||
\(961\) | 2506.50 | + | 1610.83i | 0.0841362 | + | 0.0540710i | ||||
\(962\) | 9409.41 | − | 10859.0i | 0.315355 | − | 0.363939i | ||||
\(963\) | −6099.08 | + | 1790.85i | −0.204091 | + | 0.0599266i | ||||
\(964\) | 9627.64 | + | 21081.6i | 0.321666 | + | 0.704349i | ||||
\(965\) | −8056.34 | −0.268749 | ||||||||
\(966\) | −6148.01 | + | 5218.71i | −0.204771 | + | 0.173819i | ||||
\(967\) | −41216.6 | −1.37067 | −0.685335 | − | 0.728228i | \(-0.740344\pi\) | ||||
−0.685335 | + | 0.728228i | \(0.740344\pi\) | |||||||
\(968\) | 11605.4 | + | 25412.2i | 0.385342 | + | 0.843782i | ||||
\(969\) | −16736.4 | + | 4914.24i | −0.554850 | + | 0.162919i | ||||
\(970\) | −1383.09 | + | 1596.17i | −0.0457819 | + | 0.0528351i | ||||
\(971\) | 30606.4 | + | 19669.5i | 1.01154 | + | 0.650078i | 0.937791 | − | 0.347199i | \(-0.112867\pi\) |
0.0737490 | + | 0.997277i | \(0.476504\pi\) | |||||||
\(972\) | −852.271 | − | 983.573i | −0.0281241 | − | 0.0324569i | ||||
\(973\) | −3435.06 | − | 23891.4i | −0.113179 | − | 0.787177i | ||||
\(974\) | −13759.9 | − | 4040.26i | −0.452664 | − | 0.132914i | ||||
\(975\) | 8437.15 | − | 5422.23i | 0.277133 | − | 0.178103i | ||||
\(976\) | 448.562 | − | 3119.82i | 0.0147112 | − | 0.102319i | ||||
\(977\) | −3883.15 | + | 8502.92i | −0.127158 | + | 0.278437i | −0.962494 | − | 0.271303i | \(-0.912546\pi\) |
0.835336 | + | 0.549739i | \(0.185273\pi\) | |||||||
\(978\) | 6985.33 | − | 15295.7i | 0.228391 | − | 0.500106i | ||||
\(979\) | 1481.85 | − | 10306.5i | 0.0483759 | − | 0.336462i | ||||
\(980\) | 2003.84 | − | 1287.79i | 0.0653165 | − | 0.0419764i | ||||
\(981\) | −8350.57 | − | 2451.95i | −0.271777 | − | 0.0798009i | ||||
\(982\) | −641.528 | − | 4461.92i | −0.0208472 | − | 0.144996i | ||||
\(983\) | −28768.2 | − | 33200.2i | −0.933430 | − | 1.07724i | −0.996855 | − | 0.0792491i | \(-0.974748\pi\) |
0.0634248 | − | 0.997987i | \(-0.479798\pi\) | |||||||
\(984\) | 2972.67 | + | 1910.42i | 0.0963063 | + | 0.0618923i | ||||
\(985\) | −11195.4 | + | 12920.2i | −0.362148 | + | 0.417941i | ||||
\(986\) | 3893.94 | − | 1143.36i | 0.125769 | − | 0.0369292i | ||||
\(987\) | −4104.75 | − | 8988.14i | −0.132376 | − | 0.289864i | ||||
\(988\) | −12178.9 | −0.392168 | ||||||||
\(989\) | 18629.6 | − | 2485.34i | 0.598976 | − | 0.0799081i | ||||
\(990\) | −367.335 | −0.0117926 | ||||||||
\(991\) | 10481.1 | + | 22950.5i | 0.335968 | + | 0.735667i | 0.999927 | − | 0.0121023i | \(-0.00385236\pi\) |
−0.663959 | + | 0.747769i | \(0.731125\pi\) | |||||||
\(992\) | −32305.0 | + | 9485.61i | −1.03396 | + | 0.303597i | ||||
\(993\) | −20187.6 | + | 23297.7i | −0.645150 | + | 0.744542i | ||||
\(994\) | 6452.52 | + | 4146.78i | 0.205897 | + | 0.132322i | ||||
\(995\) | −3503.69 | − | 4043.47i | −0.111633 | − | 0.128831i | ||||
\(996\) | −82.0890 | − | 570.941i | −0.00261154 | − | 0.0181636i | ||||
\(997\) | 57062.8 | + | 16755.1i | 1.81263 | + | 0.532237i | 0.998805 | − | 0.0488672i | \(-0.0155611\pi\) |
0.813829 | + | 0.581105i | \(0.197379\pi\) | |||||||
\(998\) | −19785.6 | + | 12715.5i | −0.627558 | + | 0.403307i | ||||
\(999\) | −1126.22 | + | 7833.04i | −0.0356677 | + | 0.248075i |
(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.4.4 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.73.3 | 60 | |||
23.6 | even | 11 | inner | 69.4.e.b.52.4 | yes | 60 | |
23.11 | odd | 22 | 1587.4.a.v.1.18 | 30 | |||
23.12 | even | 11 | 1587.4.a.w.1.18 | 30 | |||
69.29 | odd | 22 | 207.4.i.b.190.3 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.4.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.52.4 | yes | 60 | 23.6 | even | 11 | inner | |
207.4.i.b.73.3 | 60 | 3.2 | odd | 2 | |||
207.4.i.b.190.3 | 60 | 69.29 | odd | 22 | |||
1587.4.a.v.1.18 | 30 | 23.11 | odd | 22 | |||
1587.4.a.w.1.18 | 30 | 23.12 | even | 11 |