Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,3,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(0.735696713773\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 27.11 |
Dual form | 27.3.f.a.5.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24712 | + | 1.48626i | −0.623559 | + | 0.743128i | −0.981678 | − | 0.190547i | \(-0.938974\pi\) |
0.358119 | + | 0.933676i | \(0.383418\pi\) | |||||||
\(3\) | 2.80515 | − | 1.06355i | 0.935049 | − | 0.354518i | ||||
\(4\) | 0.0409354 | + | 0.232156i | 0.0102339 | + | 0.0580391i | ||||
\(5\) | −1.47839 | + | 4.06185i | −0.295679 | + | 0.812370i | 0.699531 | + | 0.714602i | \(0.253392\pi\) |
−0.995209 | + | 0.0977676i | \(0.968830\pi\) | |||||||
\(6\) | −1.91764 | + | 5.49555i | −0.319606 | + | 0.915924i | ||||
\(7\) | 1.54363 | − | 8.75434i | 0.220518 | − | 1.25062i | −0.650552 | − | 0.759462i | \(-0.725463\pi\) |
0.871070 | − | 0.491158i | \(-0.163426\pi\) | |||||||
\(8\) | −7.11704 | − | 4.10903i | −0.889630 | − | 0.513628i | ||||
\(9\) | 6.73771 | − | 5.96685i | 0.748634 | − | 0.662983i | ||||
\(10\) | −4.19322 | − | 7.26288i | −0.419322 | − | 0.726288i | ||||
\(11\) | −2.52275 | − | 6.93119i | −0.229341 | − | 0.630108i | 0.770634 | − | 0.637278i | \(-0.219940\pi\) |
−0.999974 | + | 0.00717020i | \(0.997718\pi\) | |||||||
\(12\) | 0.361741 | + | 0.607696i | 0.0301450 | + | 0.0506413i | ||||
\(13\) | −12.4164 | + | 10.4186i | −0.955111 | + | 0.801434i | −0.980151 | − | 0.198253i | \(-0.936473\pi\) |
0.0250395 | + | 0.999686i | \(0.492029\pi\) | |||||||
\(14\) | 11.0861 | + | 13.2119i | 0.791865 | + | 0.943708i | ||||
\(15\) | 0.172883 | + | 12.9664i | 0.0115255 | + | 0.864429i | ||||
\(16\) | 14.0968 | − | 5.13081i | 0.881049 | − | 0.320675i | ||||
\(17\) | 9.06825 | − | 5.23555i | 0.533426 | − | 0.307974i | −0.208984 | − | 0.977919i | \(-0.567016\pi\) |
0.742411 | + | 0.669945i | \(0.233682\pi\) | |||||||
\(18\) | 0.465550 | + | 17.4553i | 0.0258639 | + | 0.969740i | ||||
\(19\) | −8.63742 | + | 14.9604i | −0.454601 | + | 0.787392i | −0.998665 | − | 0.0516517i | \(-0.983551\pi\) |
0.544064 | + | 0.839044i | \(0.316885\pi\) | |||||||
\(20\) | −1.00350 | − | 0.176945i | −0.0501752 | − | 0.00884723i | ||||
\(21\) | −4.98060 | − | 26.1989i | −0.237172 | − | 1.24757i | ||||
\(22\) | 13.4477 | + | 4.89456i | 0.611259 | + | 0.222480i | ||||
\(23\) | 12.9785 | − | 2.28846i | 0.564282 | − | 0.0994981i | 0.115772 | − | 0.993276i | \(-0.463066\pi\) |
0.448510 | + | 0.893778i | \(0.351955\pi\) | |||||||
\(24\) | −24.3345 | − | 3.95708i | −1.01394 | − | 0.164878i | ||||
\(25\) | 4.83813 | + | 4.05967i | 0.193525 | + | 0.162387i | ||||
\(26\) | − | 31.4473i | − | 1.20951i | ||||||
\(27\) | 12.5542 | − | 23.9038i | 0.464971 | − | 0.885326i | ||||
\(28\) | 2.09556 | 0.0748416 | ||||||||
\(29\) | −26.8925 | + | 32.0493i | −0.927329 | + | 1.10515i | 0.0668885 | + | 0.997760i | \(0.478693\pi\) |
−0.994217 | + | 0.107387i | \(0.965752\pi\) | |||||||
\(30\) | −19.4871 | − | 15.9137i | −0.649569 | − | 0.530458i | ||||
\(31\) | 6.43612 | + | 36.5011i | 0.207617 | + | 1.17745i | 0.893268 | + | 0.449524i | \(0.148406\pi\) |
−0.685651 | + | 0.727930i | \(0.740483\pi\) | |||||||
\(32\) | 1.28832 | − | 3.53963i | 0.0402600 | − | 0.110613i | ||||
\(33\) | −14.4484 | − | 16.7599i | −0.437829 | − | 0.507877i | ||||
\(34\) | −3.52779 | + | 20.0071i | −0.103759 | + | 0.588444i | ||||
\(35\) | 33.2767 | + | 19.2123i | 0.950764 | + | 0.548924i | ||||
\(36\) | 1.66105 | + | 1.31995i | 0.0461404 | + | 0.0366652i | ||||
\(37\) | −31.9875 | − | 55.4041i | −0.864528 | − | 1.49741i | −0.867515 | − | 0.497411i | \(-0.834284\pi\) |
0.00298644 | − | 0.999996i | \(-0.499049\pi\) | |||||||
\(38\) | −11.4632 | − | 31.4949i | −0.301663 | − | 0.828812i | ||||
\(39\) | −23.7492 | + | 42.4314i | −0.608954 | + | 1.08798i | ||||
\(40\) | 27.2120 | − | 22.8336i | 0.680301 | − | 0.570840i | ||||
\(41\) | −16.3590 | − | 19.4958i | −0.398999 | − | 0.475508i | 0.528715 | − | 0.848799i | \(-0.322674\pi\) |
−0.927714 | + | 0.373291i | \(0.878229\pi\) | |||||||
\(42\) | 45.1498 | + | 25.2707i | 1.07499 | + | 0.601684i | ||||
\(43\) | −2.32975 | + | 0.847961i | −0.0541803 | + | 0.0197200i | −0.368968 | − | 0.929442i | \(-0.620289\pi\) |
0.314788 | + | 0.949162i | \(0.398067\pi\) | |||||||
\(44\) | 1.50585 | − | 0.869403i | 0.0342239 | − | 0.0197592i | ||||
\(45\) | 14.2755 | + | 36.1889i | 0.317232 | + | 0.804198i | ||||
\(46\) | −12.7845 | + | 22.1433i | −0.277923 | + | 0.481377i | ||||
\(47\) | 45.9670 | + | 8.10521i | 0.978020 | + | 0.172451i | 0.639738 | − | 0.768593i | \(-0.279043\pi\) |
0.338282 | + | 0.941045i | \(0.390154\pi\) | |||||||
\(48\) | 34.0867 | − | 29.3853i | 0.710139 | − | 0.612195i | ||||
\(49\) | −28.2107 | − | 10.2679i | −0.575729 | − | 0.209548i | ||||
\(50\) | −12.0674 | + | 2.12781i | −0.241349 | + | 0.0425563i | ||||
\(51\) | 19.8695 | − | 24.3311i | 0.389598 | − | 0.477080i | ||||
\(52\) | −2.92703 | − | 2.45607i | −0.0562890 | − | 0.0472320i | ||||
\(53\) | 50.7217i | 0.957013i | 0.878084 | + | 0.478507i | \(0.158822\pi\) | ||||
−0.878084 | + | 0.478507i | \(0.841178\pi\) | |||||||
\(54\) | 19.8706 | + | 48.4696i | 0.367974 | + | 0.897586i | ||||
\(55\) | 31.8831 | 0.579692 | ||||||||
\(56\) | −46.9579 | + | 55.9622i | −0.838533 | + | 0.999325i | ||||
\(57\) | −8.31801 | + | 51.1526i | −0.145930 | + | 0.897414i | ||||
\(58\) | −14.0953 | − | 79.9384i | −0.243022 | − | 1.37825i | ||||
\(59\) | 1.43303 | − | 3.93723i | 0.0242887 | − | 0.0667327i | −0.926956 | − | 0.375171i | \(-0.877584\pi\) |
0.951244 | + | 0.308438i | \(0.0998063\pi\) | |||||||
\(60\) | −3.00316 | + | 0.570923i | −0.0500527 | + | 0.00951538i | ||||
\(61\) | 6.31465 | − | 35.8121i | 0.103519 | − | 0.587084i | −0.888283 | − | 0.459297i | \(-0.848101\pi\) |
0.991802 | − | 0.127787i | \(-0.0407875\pi\) | |||||||
\(62\) | −62.2766 | − | 35.9554i | −1.00446 | − | 0.579926i | ||||
\(63\) | −41.8353 | − | 68.1948i | −0.664052 | − | 1.08246i | ||||
\(64\) | 33.6571 | + | 58.2957i | 0.525892 | + | 0.910871i | ||||
\(65\) | −23.9626 | − | 65.8366i | −0.368655 | − | 1.01287i | ||||
\(66\) | 42.9284 | − | 0.572369i | 0.650430 | − | 0.00867225i | ||||
\(67\) | 13.2595 | − | 11.1260i | 0.197902 | − | 0.166060i | −0.538451 | − | 0.842657i | \(-0.680990\pi\) |
0.736354 | + | 0.676597i | \(0.236546\pi\) | |||||||
\(68\) | 1.58668 | + | 1.89093i | 0.0233335 | + | 0.0278078i | ||||
\(69\) | 33.9727 | − | 20.2228i | 0.492358 | − | 0.293084i | ||||
\(70\) | −70.0545 | + | 25.4977i | −1.00078 | + | 0.364253i | ||||
\(71\) | −51.5041 | + | 29.7359i | −0.725410 | + | 0.418815i | −0.816740 | − | 0.577005i | \(-0.804221\pi\) |
0.0913309 | + | 0.995821i | \(0.470888\pi\) | |||||||
\(72\) | −72.4705 | + | 14.7809i | −1.00653 | + | 0.205290i | ||||
\(73\) | 26.3451 | − | 45.6310i | 0.360892 | − | 0.625083i | −0.627216 | − | 0.778845i | \(-0.715806\pi\) |
0.988108 | + | 0.153762i | \(0.0491391\pi\) | |||||||
\(74\) | 122.237 | + | 21.5537i | 1.65185 | + | 0.291266i | ||||
\(75\) | 17.8893 | + | 6.24237i | 0.238525 | + | 0.0832316i | ||||
\(76\) | −3.82674 | − | 1.39282i | −0.0503518 | − | 0.0183266i | ||||
\(77\) | −64.5722 | + | 11.3858i | −0.838600 | + | 0.147868i | ||||
\(78\) | −33.4459 | − | 88.2143i | −0.428793 | − | 1.13095i | ||||
\(79\) | −1.19477 | − | 1.00253i | −0.0151237 | − | 0.0126903i | 0.635194 | − | 0.772352i | \(-0.280920\pi\) |
−0.650318 | + | 0.759662i | \(0.725364\pi\) | |||||||
\(80\) | 64.8443i | 0.810554i | ||||||||
\(81\) | 9.79348 | − | 80.4058i | 0.120907 | − | 0.992664i | ||||
\(82\) | 49.3774 | 0.602163 | ||||||||
\(83\) | 72.6820 | − | 86.6190i | 0.875686 | − | 1.04360i | −0.123002 | − | 0.992406i | \(-0.539252\pi\) |
0.998689 | − | 0.0511958i | \(-0.0163033\pi\) | |||||||
\(84\) | 5.87837 | − | 2.22874i | 0.0699806 | − | 0.0265327i | ||||
\(85\) | 7.85961 | + | 44.5741i | 0.0924660 | + | 0.524401i | ||||
\(86\) | 1.64519 | − | 4.52012i | 0.0191301 | − | 0.0525595i | ||||
\(87\) | −41.3514 | + | 118.505i | −0.475304 | + | 1.36212i | ||||
\(88\) | −10.5259 | + | 59.6956i | −0.119613 | + | 0.678359i | ||||
\(89\) | 41.4518 | + | 23.9322i | 0.465750 | + | 0.268901i | 0.714459 | − | 0.699677i | \(-0.246673\pi\) |
−0.248709 | + | 0.968578i | \(0.580006\pi\) | |||||||
\(90\) | −71.5892 | − | 23.9148i | −0.795436 | − | 0.265720i | ||||
\(91\) | 72.0419 | + | 124.780i | 0.791670 | + | 1.37121i | ||||
\(92\) | 1.06256 | + | 2.91936i | 0.0115496 | + | 0.0317322i | ||||
\(93\) | 56.8751 | + | 95.5457i | 0.611560 | + | 1.02737i | ||||
\(94\) | −69.3726 | + | 58.2105i | −0.738007 | + | 0.619261i | ||||
\(95\) | −47.9976 | − | 57.2013i | −0.505238 | − | 0.602119i | ||||
\(96\) | −0.150656 | − | 11.2994i | −0.00156933 | − | 0.117702i | ||||
\(97\) | 34.5497 | − | 12.5750i | 0.356182 | − | 0.129640i | −0.157731 | − | 0.987482i | \(-0.550418\pi\) |
0.513913 | + | 0.857843i | \(0.328196\pi\) | |||||||
\(98\) | 50.4428 | − | 29.1232i | 0.514722 | − | 0.297175i | ||||
\(99\) | −58.3549 | − | 31.6475i | −0.589443 | − | 0.319672i | ||||
\(100\) | −0.744428 | + | 1.28939i | −0.00744428 | + | 0.0128939i | ||||
\(101\) | 84.0022 | + | 14.8119i | 0.831705 | + | 0.146652i | 0.573260 | − | 0.819374i | \(-0.305679\pi\) |
0.258445 | + | 0.966026i | \(0.416790\pi\) | |||||||
\(102\) | 11.3826 | + | 59.8749i | 0.111594 | + | 0.587008i | ||||
\(103\) | −21.8401 | − | 7.94915i | −0.212040 | − | 0.0771762i | 0.233816 | − | 0.972281i | \(-0.424879\pi\) |
−0.445856 | + | 0.895105i | \(0.647101\pi\) | |||||||
\(104\) | 131.179 | − | 23.1304i | 1.26134 | − | 0.222407i | ||||
\(105\) | 113.779 | + | 18.5019i | 1.08361 | + | 0.176208i | ||||
\(106\) | −75.3855 | − | 63.2559i | −0.711184 | − | 0.596754i | ||||
\(107\) | − | 95.7625i | − | 0.894977i | −0.894290 | − | 0.447488i | \(-0.852319\pi\) | ||
0.894290 | − | 0.447488i | \(-0.147681\pi\) | |||||||
\(108\) | 6.06333 | + | 1.93603i | 0.0561420 | + | 0.0179262i | ||||
\(109\) | −102.160 | −0.937249 | −0.468625 | − | 0.883397i | \(-0.655250\pi\) | ||||
−0.468625 | + | 0.883397i | \(0.655250\pi\) | |||||||
\(110\) | −39.7619 | + | 47.3864i | −0.361472 | + | 0.430786i | ||||
\(111\) | −148.655 | − | 121.396i | −1.33923 | − | 1.09366i | ||||
\(112\) | −23.1567 | − | 131.328i | −0.206756 | − | 1.17257i | ||||
\(113\) | 5.57835 | − | 15.3264i | 0.0493660 | − | 0.135632i | −0.912559 | − | 0.408944i | \(-0.865897\pi\) |
0.961925 | + | 0.273312i | \(0.0881193\pi\) | |||||||
\(114\) | −65.6524 | − | 76.1560i | −0.575898 | − | 0.668035i | ||||
\(115\) | −9.89192 | + | 56.0999i | −0.0860167 | + | 0.487825i | ||||
\(116\) | −8.54130 | − | 4.93132i | −0.0736319 | − | 0.0425114i | ||||
\(117\) | −21.4920 | + | 144.285i | −0.183692 | + | 1.23320i | ||||
\(118\) | 4.06457 | + | 7.04005i | 0.0344455 | + | 0.0596614i | ||||
\(119\) | −31.8358 | − | 87.4682i | −0.267528 | − | 0.735027i | ||||
\(120\) | 52.0490 | − | 92.9931i | 0.433742 | − | 0.774942i | ||||
\(121\) | 51.0142 | − | 42.8060i | 0.421605 | − | 0.353769i | ||||
\(122\) | 45.3509 | + | 54.0471i | 0.371729 | + | 0.443009i | ||||
\(123\) | −66.6242 | − | 37.2901i | −0.541660 | − | 0.303172i | ||||
\(124\) | −8.21049 | + | 2.98837i | −0.0662136 | + | 0.0240998i | ||||
\(125\) | −117.228 | + | 67.6816i | −0.937824 | + | 0.541453i | ||||
\(126\) | 153.529 | + | 22.8689i | 1.21848 | + | 0.181499i | ||||
\(127\) | 40.7309 | − | 70.5479i | 0.320715 | − | 0.555495i | −0.659920 | − | 0.751336i | \(-0.729410\pi\) |
0.980636 | + | 0.195840i | \(0.0627433\pi\) | |||||||
\(128\) | −113.779 | − | 20.0622i | −0.888895 | − | 0.156736i | ||||
\(129\) | −5.63345 | + | 4.85647i | −0.0436702 | + | 0.0376471i | ||||
\(130\) | 127.734 | + | 46.4915i | 0.982571 | + | 0.357627i | ||||
\(131\) | −143.243 | + | 25.2576i | −1.09346 | + | 0.192806i | −0.691159 | − | 0.722703i | \(-0.742899\pi\) |
−0.402298 | + | 0.915509i | \(0.631788\pi\) | |||||||
\(132\) | 3.29948 | − | 4.04036i | 0.0249960 | − | 0.0306088i | ||||
\(133\) | 117.636 | + | 98.7082i | 0.884480 | + | 0.742167i | ||||
\(134\) | 33.5824i | 0.250615i | ||||||||
\(135\) | 78.5336 | + | 86.3325i | 0.581730 | + | 0.639500i | ||||
\(136\) | −86.0521 | −0.632736 | ||||||||
\(137\) | −120.843 | + | 144.016i | −0.882069 | + | 1.05121i | 0.116248 | + | 0.993220i | \(0.462913\pi\) |
−0.998317 | + | 0.0579889i | \(0.981531\pi\) | |||||||
\(138\) | −12.3117 | + | 75.7123i | −0.0892152 | + | 0.548640i | ||||
\(139\) | 15.2570 | + | 86.5267i | 0.109762 | + | 0.622494i | 0.989211 | + | 0.146500i | \(0.0468007\pi\) |
−0.879448 | + | 0.475995i | \(0.842088\pi\) | |||||||
\(140\) | −3.09807 | + | 8.51187i | −0.0221291 | + | 0.0607991i | ||||
\(141\) | 137.564 | − | 26.1520i | 0.975634 | − | 0.185475i | ||||
\(142\) | 20.0365 | − | 113.632i | 0.141102 | − | 0.800229i | ||||
\(143\) | 103.537 | + | 59.7772i | 0.724036 | + | 0.418022i | ||||
\(144\) | 64.3653 | − | 118.683i | 0.446981 | − | 0.824189i | ||||
\(145\) | −90.4216 | − | 156.615i | −0.623597 | − | 1.08010i | ||||
\(146\) | 34.9640 | + | 96.0629i | 0.239480 | + | 0.657965i | ||||
\(147\) | −90.0557 | + | 1.20072i | −0.612624 | + | 0.00816818i | ||||
\(148\) | 11.5530 | − | 9.69410i | 0.0780607 | − | 0.0655007i | ||||
\(149\) | 40.4096 | + | 48.1582i | 0.271205 | + | 0.323210i | 0.884407 | − | 0.466717i | \(-0.154563\pi\) |
−0.613202 | + | 0.789926i | \(0.710119\pi\) | |||||||
\(150\) | −31.5879 | + | 18.8032i | −0.210586 | + | 0.125355i | ||||
\(151\) | 108.435 | − | 39.4672i | 0.718114 | − | 0.261372i | 0.0429892 | − | 0.999076i | \(-0.486312\pi\) |
0.675125 | + | 0.737703i | \(0.264090\pi\) | |||||||
\(152\) | 122.946 | − | 70.9828i | 0.808854 | − | 0.466992i | ||||
\(153\) | 29.8595 | − | 89.3845i | 0.195160 | − | 0.584212i | ||||
\(154\) | 63.6068 | − | 110.170i | 0.413031 | − | 0.715391i | ||||
\(155\) | −157.777 | − | 27.8203i | −1.01792 | − | 0.179486i | ||||
\(156\) | −10.8229 | − | 3.77658i | −0.0693775 | − | 0.0242089i | ||||
\(157\) | −49.1767 | − | 17.8989i | −0.313228 | − | 0.114006i | 0.180623 | − | 0.983552i | \(-0.442189\pi\) |
−0.493850 | + | 0.869547i | \(0.664411\pi\) | |||||||
\(158\) | 2.98004 | − | 0.525462i | 0.0188610 | − | 0.00332571i | ||||
\(159\) | 53.9452 | + | 142.282i | 0.339278 | + | 0.894855i | ||||
\(160\) | 12.4728 | + | 10.4659i | 0.0779549 | + | 0.0654120i | ||||
\(161\) | − | 117.151i | − | 0.727643i | ||||||
\(162\) | 107.290 | + | 114.831i | 0.662284 | + | 0.708834i | ||||
\(163\) | −251.388 | −1.54226 | −0.771128 | − | 0.636681i | \(-0.780307\pi\) | ||||
−0.771128 | + | 0.636681i | \(0.780307\pi\) | |||||||
\(164\) | 3.85642 | − | 4.59591i | 0.0235148 | − | 0.0280238i | ||||
\(165\) | 89.4367 | − | 33.9093i | 0.542041 | − | 0.205511i | ||||
\(166\) | 38.0951 | + | 216.048i | 0.229489 | + | 1.30149i | ||||
\(167\) | −2.89515 | + | 7.95437i | −0.0173363 | + | 0.0476310i | −0.948059 | − | 0.318095i | \(-0.896957\pi\) |
0.930723 | + | 0.365726i | \(0.119179\pi\) | |||||||
\(168\) | −72.2050 | + | 206.924i | −0.429792 | + | 1.23169i | ||||
\(169\) | 16.2736 | − | 92.2924i | 0.0962937 | − | 0.546109i | ||||
\(170\) | −76.0504 | − | 43.9077i | −0.447355 | − | 0.258281i | ||||
\(171\) | 31.0703 | + | 152.337i | 0.181697 | + | 0.890861i | ||||
\(172\) | −0.292229 | − | 0.506155i | −0.00169901 | − | 0.00294276i | ||||
\(173\) | 66.7138 | + | 183.295i | 0.385629 | + | 1.05951i | 0.968948 | + | 0.247264i | \(0.0795316\pi\) |
−0.583319 | + | 0.812243i | \(0.698246\pi\) | |||||||
\(174\) | −124.558 | − | 209.248i | −0.715852 | − | 1.20257i | ||||
\(175\) | 43.0080 | − | 36.0880i | 0.245760 | − | 0.206217i | ||||
\(176\) | −71.1252 | − | 84.7637i | −0.404120 | − | 0.481612i | ||||
\(177\) | −0.167579 | − | 12.5686i | −0.000946772 | − | 0.0710092i | ||||
\(178\) | −87.2646 | + | 31.7617i | −0.490251 | + | 0.178437i | ||||
\(179\) | 183.204 | − | 105.773i | 1.02349 | − | 0.590910i | 0.108374 | − | 0.994110i | \(-0.465436\pi\) |
0.915112 | + | 0.403200i | \(0.132102\pi\) | |||||||
\(180\) | −7.81711 | + | 4.79555i | −0.0434284 | + | 0.0266419i | ||||
\(181\) | −43.8874 | + | 76.0153i | −0.242472 | + | 0.419974i | −0.961418 | − | 0.275092i | \(-0.911292\pi\) |
0.718946 | + | 0.695066i | \(0.244625\pi\) | |||||||
\(182\) | −275.300 | − | 48.5429i | −1.51264 | − | 0.266719i | ||||
\(183\) | −20.3746 | − | 107.174i | −0.111337 | − | 0.585652i | ||||
\(184\) | −101.772 | − | 37.0419i | −0.553107 | − | 0.201315i | ||||
\(185\) | 272.333 | − | 48.0197i | 1.47207 | − | 0.259566i | ||||
\(186\) | −212.935 | − | 34.6258i | −1.14481 | − | 0.186160i | ||||
\(187\) | −59.1655 | − | 49.6458i | −0.316393 | − | 0.265485i | ||||
\(188\) | 11.0033i | 0.0585283i | ||||||||
\(189\) | −189.883 | − | 146.802i | −1.00467 | − | 0.776732i | ||||
\(190\) | 144.874 | 0.762497 | ||||||||
\(191\) | 206.497 | − | 246.093i | 1.08113 | − | 1.28845i | 0.126079 | − | 0.992020i | \(-0.459761\pi\) |
0.955056 | − | 0.296426i | \(-0.0957947\pi\) | |||||||
\(192\) | 156.414 | + | 127.732i | 0.814654 | + | 0.665271i | ||||
\(193\) | 10.7145 | + | 60.7650i | 0.0555156 | + | 0.314845i | 0.999902 | − | 0.0139930i | \(-0.00445425\pi\) |
−0.944387 | + | 0.328838i | \(0.893343\pi\) | |||||||
\(194\) | −24.3977 | + | 67.0322i | −0.125762 | + | 0.345527i | ||||
\(195\) | −137.239 | − | 159.196i | −0.703791 | − | 0.816389i | ||||
\(196\) | 1.22893 | − | 6.96962i | 0.00627006 | − | 0.0355593i | ||||
\(197\) | −194.174 | − | 112.106i | −0.985652 | − | 0.569067i | −0.0816805 | − | 0.996659i | \(-0.526029\pi\) |
−0.903972 | + | 0.427592i | \(0.859362\pi\) | |||||||
\(198\) | 119.812 | − | 47.2622i | 0.605110 | − | 0.238698i | ||||
\(199\) | 2.60375 | + | 4.50982i | 0.0130842 | + | 0.0226624i | 0.872493 | − | 0.488626i | \(-0.162502\pi\) |
−0.859409 | + | 0.511288i | \(0.829168\pi\) | |||||||
\(200\) | −17.7519 | − | 48.7729i | −0.0887593 | − | 0.243864i | ||||
\(201\) | 25.3617 | − | 45.3123i | 0.126177 | − | 0.225434i | ||||
\(202\) | −126.775 | + | 106.377i | −0.627598 | + | 0.526617i | ||||
\(203\) | 239.058 | + | 284.898i | 1.17763 | + | 1.40344i | ||||
\(204\) | 6.46198 | + | 3.61682i | 0.0316764 | + | 0.0177295i | ||||
\(205\) | 103.374 | − | 37.6251i | 0.504264 | − | 0.183537i | ||||
\(206\) | 39.0517 | − | 22.5465i | 0.189571 | − | 0.109449i | ||||
\(207\) | 73.7904 | − | 92.8596i | 0.356475 | − | 0.448597i | ||||
\(208\) | −121.576 | + | 210.576i | −0.584499 | + | 1.01238i | ||||
\(209\) | 125.484 | + | 22.1262i | 0.600400 | + | 0.105867i | ||||
\(210\) | −169.395 | + | 146.032i | −0.806642 | + | 0.695388i | ||||
\(211\) | 21.6633 | + | 7.88481i | 0.102670 | + | 0.0373688i | 0.392844 | − | 0.919605i | \(-0.371491\pi\) |
−0.290174 | + | 0.956974i | \(0.593713\pi\) | |||||||
\(212\) | −11.7754 | + | 2.07631i | −0.0555442 | + | 0.00979394i | ||||
\(213\) | −112.851 | + | 138.191i | −0.529816 | + | 0.648784i | ||||
\(214\) | 142.328 | + | 119.427i | 0.665083 | + | 0.558071i | ||||
\(215\) | − | 10.7167i | − | 0.0498452i | ||||||
\(216\) | −187.570 | + | 118.539i | −0.868381 | + | 0.548791i | ||||
\(217\) | 329.478 | 1.51833 | ||||||||
\(218\) | 127.406 | − | 151.836i | 0.584430 | − | 0.696497i | ||||
\(219\) | 25.3709 | − | 156.021i | 0.115849 | − | 0.712426i | ||||
\(220\) | 1.30515 | + | 7.40186i | 0.00593249 | + | 0.0336448i | ||||
\(221\) | −58.0481 | + | 159.486i | −0.262661 | + | 0.721655i | ||||
\(222\) | 365.816 | − | 69.5442i | 1.64782 | − | 0.313262i | ||||
\(223\) | −32.6616 | + | 185.233i | −0.146464 | + | 0.830641i | 0.819715 | + | 0.572771i | \(0.194132\pi\) |
−0.966180 | + | 0.257870i | \(0.916979\pi\) | |||||||
\(224\) | −28.9984 | − | 16.7422i | −0.129457 | − | 0.0747421i | ||||
\(225\) | 56.8213 | − | 1.51548i | 0.252539 | − | 0.00673546i | ||||
\(226\) | 15.8221 | + | 27.4047i | 0.0700093 | + | 0.121260i | ||||
\(227\) | 42.9222 | + | 117.928i | 0.189085 | + | 0.519505i | 0.997621 | − | 0.0689410i | \(-0.0219620\pi\) |
−0.808536 | + | 0.588446i | \(0.799740\pi\) | |||||||
\(228\) | −12.2159 | + | 0.162876i | −0.0535785 | + | 0.000714368i | ||||
\(229\) | −100.359 | + | 84.2111i | −0.438248 | + | 0.367734i | −0.835053 | − | 0.550169i | \(-0.814563\pi\) |
0.396805 | + | 0.917903i | \(0.370119\pi\) | |||||||
\(230\) | −71.0425 | − | 84.6651i | −0.308880 | − | 0.368109i | ||||
\(231\) | −169.025 | + | 100.615i | −0.731710 | + | 0.435562i | ||||
\(232\) | 323.087 | − | 117.594i | 1.39261 | − | 0.506870i | ||||
\(233\) | −352.009 | + | 203.233i | −1.51077 | + | 0.872243i | −0.510848 | + | 0.859671i | \(0.670669\pi\) |
−0.999921 | + | 0.0125723i | \(0.995998\pi\) | |||||||
\(234\) | −187.641 | − | 211.883i | −0.801886 | − | 0.905482i | ||||
\(235\) | −100.879 | + | 174.728i | −0.429274 | + | 0.743524i | ||||
\(236\) | 0.972715 | + | 0.171516i | 0.00412167 | + | 0.000726762i | ||||
\(237\) | −4.41776 | − | 1.54155i | −0.0186403 | − | 0.00650442i | ||||
\(238\) | 169.703 | + | 61.7670i | 0.713039 | + | 0.259525i | ||||
\(239\) | −189.404 | + | 33.3970i | −0.792484 | + | 0.139736i | −0.555214 | − | 0.831707i | \(-0.687364\pi\) |
−0.237270 | + | 0.971444i | \(0.576253\pi\) | |||||||
\(240\) | 68.9654 | + | 181.898i | 0.287356 | + | 0.757908i | ||||
\(241\) | −265.638 | − | 222.896i | −1.10223 | − | 0.924881i | −0.104658 | − | 0.994508i | \(-0.533375\pi\) |
−0.997573 | + | 0.0696270i | \(0.977819\pi\) | |||||||
\(242\) | 129.204i | 0.533903i | ||||||||
\(243\) | −58.0436 | − | 235.966i | −0.238863 | − | 0.971053i | ||||
\(244\) | 8.57251 | 0.0351332 | ||||||||
\(245\) | 83.4131 | − | 99.4079i | 0.340462 | − | 0.405746i | ||||
\(246\) | 138.511 | − | 52.5155i | 0.563052 | − | 0.213477i | ||||
\(247\) | −48.6214 | − | 275.746i | −0.196848 | − | 1.11638i | ||||
\(248\) | 104.178 | − | 286.226i | 0.420071 | − | 1.15414i | ||||
\(249\) | 111.760 | − | 320.280i | 0.448834 | − | 1.28627i | ||||
\(250\) | 45.6048 | − | 258.638i | 0.182419 | − | 1.03455i | ||||
\(251\) | 370.198 | + | 213.734i | 1.47489 | + | 0.851530i | 0.999600 | − | 0.0282966i | \(-0.00900829\pi\) |
0.475294 | + | 0.879827i | \(0.342342\pi\) | |||||||
\(252\) | 14.1193 | − | 12.5039i | 0.0560290 | − | 0.0496187i | ||||
\(253\) | −48.6032 | − | 84.1831i | −0.192107 | − | 0.332740i | ||||
\(254\) | 54.0562 | + | 148.518i | 0.212820 | + | 0.584717i | ||||
\(255\) | 69.4542 | + | 116.678i | 0.272370 | + | 0.457560i | ||||
\(256\) | −34.5496 | + | 28.9906i | −0.134960 | + | 0.113245i | ||||
\(257\) | −182.597 | − | 217.611i | −0.710495 | − | 0.846735i | 0.283176 | − | 0.959068i | \(-0.408612\pi\) |
−0.993671 | + | 0.112333i | \(0.964168\pi\) | |||||||
\(258\) | −0.192388 | − | 14.4293i | −0.000745690 | − | 0.0559277i | ||||
\(259\) | −534.403 | + | 194.507i | −2.06333 | + | 0.750991i | ||||
\(260\) | 14.3035 | − | 8.25811i | 0.0550133 | − | 0.0317620i | ||||
\(261\) | 10.0390 | + | 376.402i | 0.0384636 | + | 1.44215i | ||||
\(262\) | 141.101 | − | 244.395i | 0.538555 | − | 0.932805i | ||||
\(263\) | −341.187 | − | 60.1605i | −1.29729 | − | 0.228747i | −0.517983 | − | 0.855391i | \(-0.673317\pi\) |
−0.779306 | + | 0.626643i | \(0.784428\pi\) | |||||||
\(264\) | 33.9626 | + | 178.650i | 0.128646 | + | 0.676704i | ||||
\(265\) | −206.024 | − | 74.9866i | −0.777449 | − | 0.282968i | ||||
\(266\) | −293.412 | + | 51.7364i | −1.10305 | + | 0.194498i | ||||
\(267\) | 141.732 | + | 23.0472i | 0.530830 | + | 0.0863191i | ||||
\(268\) | 3.12576 | + | 2.62282i | 0.0116633 | + | 0.00978665i | ||||
\(269\) | − | 297.900i | − | 1.10743i | −0.832705 | − | 0.553717i | \(-0.813209\pi\) | ||
0.832705 | − | 0.553717i | \(-0.186791\pi\) | |||||||
\(270\) | −226.253 | + | 9.05425i | −0.837974 | + | 0.0335343i | ||||
\(271\) | 368.678 | 1.36044 | 0.680218 | − | 0.733010i | \(-0.261885\pi\) | ||||
0.680218 | + | 0.733010i | \(0.261885\pi\) | |||||||
\(272\) | 100.970 | − | 120.332i | 0.371215 | − | 0.442397i | ||||
\(273\) | 334.799 | + | 273.407i | 1.22637 | + | 1.00149i | ||||
\(274\) | −63.3382 | − | 359.209i | −0.231161 | − | 1.31098i | ||||
\(275\) | 15.9330 | − | 43.7755i | 0.0579381 | − | 0.159184i | ||||
\(276\) | 6.08553 | + | 7.05914i | 0.0220490 | + | 0.0255766i | ||||
\(277\) | −49.1193 | + | 278.569i | −0.177326 | + | 1.00566i | 0.758099 | + | 0.652139i | \(0.226128\pi\) |
−0.935425 | + | 0.353525i | \(0.884983\pi\) | |||||||
\(278\) | −147.628 | − | 85.2331i | −0.531036 | − | 0.306594i | ||||
\(279\) | 261.161 | + | 207.530i | 0.936061 | + | 0.743836i | ||||
\(280\) | −157.888 | − | 273.470i | −0.563886 | − | 0.976678i | ||||
\(281\) | 96.1506 | + | 264.172i | 0.342173 | + | 0.940112i | 0.984763 | + | 0.173902i | \(0.0556377\pi\) |
−0.642590 | + | 0.766210i | \(0.722140\pi\) | |||||||
\(282\) | −132.690 | + | 237.071i | −0.470534 | + | 0.840676i | ||||
\(283\) | 334.168 | − | 280.400i | 1.18081 | − | 0.990814i | 0.180833 | − | 0.983514i | \(-0.442121\pi\) |
0.999973 | − | 0.00730054i | \(-0.00232386\pi\) | |||||||
\(284\) | −9.01172 | − | 10.7397i | −0.0317314 | − | 0.0378160i | ||||
\(285\) | −195.477 | − | 109.410i | −0.685884 | − | 0.383895i | ||||
\(286\) | −217.967 | + | 79.3336i | −0.762123 | + | 0.277390i | ||||
\(287\) | −195.925 | + | 113.118i | −0.682667 | + | 0.394138i | ||||
\(288\) | −12.4401 | − | 31.5362i | −0.0431948 | − | 0.109501i | ||||
\(289\) | −89.6779 | + | 155.327i | −0.310304 | + | 0.537463i | ||||
\(290\) | 345.536 | + | 60.9274i | 1.19150 | + | 0.210094i | ||||
\(291\) | 83.5427 | − | 72.0203i | 0.287088 | − | 0.247492i | ||||
\(292\) | 11.6720 | + | 4.24826i | 0.0399726 | + | 0.0145488i | ||||
\(293\) | 363.553 | − | 64.1042i | 1.24080 | − | 0.218786i | 0.485539 | − | 0.874215i | \(-0.338623\pi\) |
0.755256 | + | 0.655429i | \(0.227512\pi\) | |||||||
\(294\) | 110.525 | − | 135.343i | 0.375937 | − | 0.460352i | ||||
\(295\) | 13.8739 | + | 11.6415i | 0.0470300 | + | 0.0394629i | ||||
\(296\) | 525.751i | 1.77619i | ||||||||
\(297\) | −197.353 | − | 26.7124i | −0.664488 | − | 0.0899408i | ||||
\(298\) | −121.971 | −0.409299 | ||||||||
\(299\) | −137.304 | + | 163.633i | −0.459211 | + | 0.547266i | ||||
\(300\) | −0.716899 | + | 4.40866i | −0.00238966 | + | 0.0146955i | ||||
\(301\) | 3.82707 | + | 21.7044i | 0.0127145 | + | 0.0721076i | ||||
\(302\) | −76.5731 | + | 210.383i | −0.253553 | + | 0.696632i | ||||
\(303\) | 251.392 | − | 47.7913i | 0.829676 | − | 0.157727i | ||||
\(304\) | −45.0006 | + | 255.211i | −0.148028 | + | 0.839510i | ||||
\(305\) | 136.128 | + | 78.5936i | 0.446321 | + | 0.257684i | ||||
\(306\) | 95.6100 | + | 155.852i | 0.312451 | + | 0.509320i | ||||
\(307\) | 183.104 | + | 317.145i | 0.596429 | + | 1.03304i | 0.993344 | + | 0.115189i | \(0.0367475\pi\) |
−0.396915 | + | 0.917855i | \(0.629919\pi\) | |||||||
\(308\) | −5.28658 | − | 14.5248i | −0.0171642 | − | 0.0471583i | ||||
\(309\) | −69.7191 | + | 0.929571i | −0.225628 | + | 0.00300832i | ||||
\(310\) | 238.115 | − | 199.802i | 0.768112 | − | 0.644522i | ||||
\(311\) | −306.742 | − | 365.561i | −0.986308 | − | 1.17544i | −0.984491 | − | 0.175438i | \(-0.943866\pi\) |
−0.00181732 | − | 0.999998i | \(-0.500578\pi\) | |||||||
\(312\) | 343.376 | − | 204.400i | 1.10056 | − | 0.655128i | ||||
\(313\) | 95.0647 | − | 34.6007i | 0.303721 | − | 0.110545i | −0.185664 | − | 0.982613i | \(-0.559444\pi\) |
0.489385 | + | 0.872068i | \(0.337221\pi\) | |||||||
\(314\) | 87.9315 | − | 50.7673i | 0.280037 | − | 0.161679i | ||||
\(315\) | 338.846 | − | 69.1100i | 1.07570 | − | 0.219397i | ||||
\(316\) | 0.183836 | − | 0.318413i | 0.000581759 | − | 0.00100764i | ||||
\(317\) | −364.896 | − | 64.3410i | −1.15109 | − | 0.202968i | −0.434639 | − | 0.900605i | \(-0.643124\pi\) |
−0.716452 | + | 0.697636i | \(0.754235\pi\) | |||||||
\(318\) | −278.743 | − | 97.2658i | −0.876552 | − | 0.305867i | ||||
\(319\) | 289.983 | + | 105.545i | 0.909037 | + | 0.330862i | ||||
\(320\) | −286.547 | + | 50.5260i | −0.895459 | + | 0.157894i | ||||
\(321\) | −101.848 | − | 268.628i | −0.317285 | − | 0.836847i | ||||
\(322\) | 174.116 | + | 146.101i | 0.540732 | + | 0.453728i | ||||
\(323\) | 180.887i | 0.560021i | ||||||||
\(324\) | 19.0676 | − | 1.01783i | 0.0588507 | − | 0.00314144i | ||||
\(325\) | −102.369 | −0.314980 | ||||||||
\(326\) | 313.510 | − | 373.627i | 0.961687 | − | 1.14609i | ||||
\(327\) | −286.574 | + | 108.653i | −0.876374 | + | 0.332271i | ||||
\(328\) | 36.3185 | + | 205.972i | 0.110727 | + | 0.627964i | ||||
\(329\) | 141.912 | − | 389.899i | 0.431342 | − | 1.18510i | ||||
\(330\) | −61.1401 | + | 175.215i | −0.185273 | + | 0.530954i | ||||
\(331\) | 61.9327 | − | 351.238i | 0.187108 | − | 1.06114i | −0.736109 | − | 0.676863i | \(-0.763339\pi\) |
0.923217 | − | 0.384279i | \(-0.125550\pi\) | |||||||
\(332\) | 23.0844 | + | 13.3278i | 0.0695314 | + | 0.0401440i | ||||
\(333\) | −546.110 | − | 182.432i | −1.63997 | − | 0.547843i | ||||
\(334\) | −8.21164 | − | 14.2230i | −0.0245857 | − | 0.0425838i | ||||
\(335\) | 25.5895 | + | 70.3066i | 0.0763866 | + | 0.209870i | ||||
\(336\) | −204.632 | − | 343.766i | −0.609024 | − | 1.02311i | ||||
\(337\) | −307.364 | + | 257.909i | −0.912059 | + | 0.765309i | −0.972510 | − | 0.232862i | \(-0.925191\pi\) |
0.0604502 | + | 0.998171i | \(0.480746\pi\) | |||||||
\(338\) | 116.875 | + | 139.286i | 0.345784 | + | 0.412090i | ||||
\(339\) | −0.652331 | − | 48.9257i | −0.00192428 | − | 0.144324i | ||||
\(340\) | −10.0264 | + | 3.64932i | −0.0294895 | + | 0.0107333i | ||||
\(341\) | 236.759 | − | 136.693i | 0.694308 | − | 0.400859i | ||||
\(342\) | −265.161 | − | 143.804i | −0.775323 | − | 0.420480i | ||||
\(343\) | 84.3548 | − | 146.107i | 0.245932 | − | 0.425967i | ||||
\(344\) | 20.0652 | + | 3.53804i | 0.0583292 | + | 0.0102850i | ||||
\(345\) | 31.9169 | + | 167.889i | 0.0925127 | + | 0.486635i | ||||
\(346\) | −355.623 | − | 129.436i | −1.02781 | − | 0.374093i | ||||
\(347\) | 56.4104 | − | 9.94668i | 0.162566 | − | 0.0286648i | −0.0917726 | − | 0.995780i | \(-0.529253\pi\) |
0.254339 | + | 0.967115i | \(0.418142\pi\) | |||||||
\(348\) | −29.2043 | − | 4.74896i | −0.0839205 | − | 0.0136464i | ||||
\(349\) | 287.357 | + | 241.121i | 0.823371 | + | 0.690890i | 0.953759 | − | 0.300573i | \(-0.0971778\pi\) |
−0.130388 | + | 0.991463i | \(0.541622\pi\) | |||||||
\(350\) | 108.927i | 0.311220i | ||||||||
\(351\) | 93.1662 | + | 427.598i | 0.265431 | + | 1.21823i | ||||
\(352\) | −27.7839 | −0.0789316 | ||||||||
\(353\) | −141.432 | + | 168.552i | −0.400658 | + | 0.477485i | −0.928220 | − | 0.372031i | \(-0.878662\pi\) |
0.527563 | + | 0.849516i | \(0.323106\pi\) | |||||||
\(354\) | 18.8892 | + | 15.4255i | 0.0533593 | + | 0.0435748i | ||||
\(355\) | −44.6395 | − | 253.163i | −0.125745 | − | 0.713136i | ||||
\(356\) | −3.85917 | + | 10.6030i | −0.0108404 | + | 0.0297836i | ||||
\(357\) | −182.331 | − | 211.502i | −0.510732 | − | 0.592443i | ||||
\(358\) | −71.2712 | + | 404.199i | −0.199082 | + | 1.12905i | ||||
\(359\) | −174.426 | − | 100.705i | −0.485866 | − | 0.280515i | 0.236992 | − | 0.971512i | \(-0.423838\pi\) |
−0.722858 | + | 0.690997i | \(0.757172\pi\) | |||||||
\(360\) | 47.1022 | − | 316.216i | 0.130839 | − | 0.878379i | ||||
\(361\) | 31.2901 | + | 54.1960i | 0.0866761 | + | 0.150127i | ||||
\(362\) | −58.2454 | − | 160.028i | −0.160899 | − | 0.442066i | ||||
\(363\) | 97.5760 | − | 174.334i | 0.268804 | − | 0.480258i | ||||
\(364\) | −26.0195 | + | 21.8329i | −0.0714821 | + | 0.0599806i | ||||
\(365\) | 146.398 | + | 174.470i | 0.401091 | + | 0.478001i | ||||
\(366\) | 184.698 | + | 103.377i | 0.504640 | + | 0.282451i | ||||
\(367\) | −149.564 | + | 54.4369i | −0.407532 | + | 0.148330i | −0.537648 | − | 0.843169i | \(-0.680687\pi\) |
0.130116 | + | 0.991499i | \(0.458465\pi\) | |||||||
\(368\) | 171.213 | − | 98.8500i | 0.465253 | − | 0.268614i | ||||
\(369\) | −226.551 | − | 33.7460i | −0.613958 | − | 0.0914525i | ||||
\(370\) | −268.262 | + | 464.643i | −0.725032 | + | 1.25579i | ||||
\(371\) | 444.035 | + | 78.2954i | 1.19686 | + | 0.211039i | ||||
\(372\) | −19.8533 | + | 17.1151i | −0.0533692 | + | 0.0460084i | ||||
\(373\) | 48.5332 | + | 17.6646i | 0.130116 | + | 0.0473583i | 0.406257 | − | 0.913759i | \(-0.366834\pi\) |
−0.276142 | + | 0.961117i | \(0.589056\pi\) | |||||||
\(374\) | 147.573 | − | 26.0211i | 0.394579 | − | 0.0695750i | ||||
\(375\) | −256.859 | + | 314.535i | −0.684957 | + | 0.838760i | ||||
\(376\) | −293.844 | − | 246.565i | −0.781501 | − | 0.655757i | ||||
\(377\) | − | 678.122i | − | 1.79873i | ||||||
\(378\) | 454.992 | − | 99.1350i | 1.20368 | − | 0.262262i | ||||
\(379\) | 147.231 | 0.388472 | 0.194236 | − | 0.980955i | \(-0.437777\pi\) | ||||
0.194236 | + | 0.980955i | \(0.437777\pi\) | |||||||
\(380\) | 11.3148 | − | 13.4845i | 0.0297759 | − | 0.0354855i | ||||
\(381\) | 39.2246 | − | 241.217i | 0.102952 | − | 0.633115i | ||||
\(382\) | 108.232 | + | 613.814i | 0.283330 | + | 1.60684i | ||||
\(383\) | −38.8997 | + | 106.876i | −0.101566 | + | 0.279049i | −0.980059 | − | 0.198704i | \(-0.936327\pi\) |
0.878494 | + | 0.477754i | \(0.158549\pi\) | |||||||
\(384\) | −340.503 | + | 64.7320i | −0.886726 | + | 0.168573i | ||||
\(385\) | 49.2155 | − | 279.115i | 0.127833 | − | 0.724975i | ||||
\(386\) | −103.675 | − | 59.8566i | −0.268587 | − | 0.155069i | ||||
\(387\) | −10.6375 | + | 19.6146i | −0.0274872 | + | 0.0506837i | ||||
\(388\) | 4.33368 | + | 7.50616i | 0.0111693 | + | 0.0193458i | ||||
\(389\) | −123.951 | − | 340.552i | −0.318639 | − | 0.875454i | −0.990835 | − | 0.135080i | \(-0.956871\pi\) |
0.672195 | − | 0.740374i | \(-0.265351\pi\) | |||||||
\(390\) | 407.760 | − | 5.43670i | 1.04554 | − | 0.0139403i | ||||
\(391\) | 105.711 | − | 88.7018i | 0.270360 | − | 0.226859i | ||||
\(392\) | 158.586 | + | 188.996i | 0.404556 | + | 0.482132i | ||||
\(393\) | −374.955 | + | 223.198i | −0.954083 | + | 0.567933i | ||||
\(394\) | 408.776 | − | 148.782i | 1.03750 | − | 0.377620i | ||||
\(395\) | 5.83848 | − | 3.37085i | 0.0147810 | − | 0.00853379i | ||||
\(396\) | 4.95839 | − | 14.8430i | 0.0125212 | − | 0.0374822i | ||||
\(397\) | 368.516 | − | 638.289i | 0.928252 | − | 1.60778i | 0.142006 | − | 0.989866i | \(-0.454645\pi\) |
0.786246 | − | 0.617914i | \(-0.212022\pi\) | |||||||
\(398\) | −9.94994 | − | 1.75444i | −0.0249998 | − | 0.00440815i | ||||
\(399\) | 434.967 | + | 151.779i | 1.09014 | + | 0.380399i | ||||
\(400\) | 89.0314 | + | 32.4048i | 0.222579 | + | 0.0810119i | ||||
\(401\) | 217.940 | − | 38.4287i | 0.543491 | − | 0.0958322i | 0.104839 | − | 0.994489i | \(-0.466567\pi\) |
0.438652 | + | 0.898657i | \(0.355456\pi\) | |||||||
\(402\) | 35.7167 | + | 94.2037i | 0.0888475 | + | 0.234337i | ||||
\(403\) | −460.205 | − | 386.158i | −1.14195 | − | 0.958208i | ||||
\(404\) | 20.1080i | 0.0497722i | ||||||||
\(405\) | 312.118 | + | 158.651i | 0.770661 | + | 0.391731i | ||||
\(406\) | −721.566 | −1.77726 | ||||||||
\(407\) | −303.320 | + | 361.482i | −0.745257 | + | 0.888163i | ||||
\(408\) | −241.389 | + | 91.5210i | −0.591640 | + | 0.224316i | ||||
\(409\) | 77.3060 | + | 438.424i | 0.189012 | + | 1.07194i | 0.920691 | + | 0.390292i | \(0.127626\pi\) |
−0.731679 | + | 0.681650i | \(0.761263\pi\) | |||||||
\(410\) | −72.9992 | + | 200.564i | −0.178047 | + | 0.489179i | ||||
\(411\) | −185.816 | + | 532.509i | −0.452106 | + | 1.29564i | ||||
\(412\) | 0.951411 | − | 5.39572i | 0.00230925 | − | 0.0130964i | ||||
\(413\) | −32.2558 | − | 18.6229i | −0.0781012 | − | 0.0450917i | ||||
\(414\) | 45.9879 | + | 225.478i | 0.111082 | + | 0.544634i | ||||
\(415\) | 244.381 | + | 423.280i | 0.588870 | + | 1.01995i | ||||
\(416\) | 20.8817 | + | 57.3721i | 0.0501965 | + | 0.137914i | ||||
\(417\) | 134.824 | + | 226.494i | 0.323318 | + | 0.543150i | ||||
\(418\) | −189.378 | + | 158.907i | −0.453058 | + | 0.380161i | ||||
\(419\) | 371.014 | + | 442.157i | 0.885475 | + | 1.05527i | 0.998099 | + | 0.0616300i | \(0.0196299\pi\) |
−0.112624 | + | 0.993638i | \(0.535926\pi\) | |||||||
\(420\) | 0.362287 | + | 27.1720i | 0.000862589 | + | 0.0646953i | ||||
\(421\) | 315.735 | − | 114.918i | 0.749964 | − | 0.272964i | 0.0613732 | − | 0.998115i | \(-0.480452\pi\) |
0.688591 | + | 0.725150i | \(0.258230\pi\) | |||||||
\(422\) | −38.7356 | + | 22.3640i | −0.0917905 | + | 0.0529953i | ||||
\(423\) | 358.075 | − | 219.667i | 0.846512 | − | 0.519308i | ||||
\(424\) | 208.417 | − | 360.989i | 0.491549 | − | 0.851388i | ||||
\(425\) | 65.1280 | + | 11.4838i | 0.153242 | + | 0.0270207i | ||||
\(426\) | −64.6489 | − | 340.066i | −0.151758 | − | 0.798276i | ||||
\(427\) | −303.764 | − | 110.561i | −0.711392 | − | 0.258925i | ||||
\(428\) | 22.2319 | − | 3.92008i | 0.0519436 | − | 0.00915906i | ||||
\(429\) | 354.013 | + | 57.5666i | 0.825205 | + | 0.134188i | ||||
\(430\) | 15.9278 | + | 13.3650i | 0.0370414 | + | 0.0310814i | ||||
\(431\) | − | 113.799i | − | 0.264034i | −0.991247 | − | 0.132017i | \(-0.957855\pi\) | ||
0.991247 | − | 0.132017i | \(-0.0421454\pi\) | |||||||
\(432\) | 54.3282 | − | 401.380i | 0.125760 | − | 0.929120i | ||||
\(433\) | −204.214 | −0.471625 | −0.235812 | − | 0.971799i | \(-0.575775\pi\) | ||||
−0.235812 | + | 0.971799i | \(0.575775\pi\) | |||||||
\(434\) | −410.897 | + | 489.689i | −0.946768 | + | 1.12831i | ||||
\(435\) | −420.214 | − | 343.160i | −0.966010 | − | 0.788873i | ||||
\(436\) | −4.18197 | − | 23.7171i | −0.00959168 | − | 0.0543971i | ||||
\(437\) | −77.8642 | + | 213.930i | −0.178179 | + | 0.489543i | ||||
\(438\) | 200.247 | + | 232.284i | 0.457185 | + | 0.530330i | ||||
\(439\) | 70.1264 | − | 397.706i | 0.159741 | − | 0.905937i | −0.794581 | − | 0.607158i | \(-0.792309\pi\) |
0.954322 | − | 0.298779i | \(-0.0965794\pi\) | |||||||
\(440\) | −226.913 | − | 131.008i | −0.515712 | − | 0.297746i | ||||
\(441\) | −251.343 | + | 99.1472i | −0.569938 | + | 0.224824i | ||||
\(442\) | −164.644 | − | 285.172i | −0.372498 | − | 0.645185i | ||||
\(443\) | −226.287 | − | 621.719i | −0.510806 | − | 1.40343i | −0.880399 | − | 0.474234i | \(-0.842725\pi\) |
0.369593 | − | 0.929194i | \(-0.379497\pi\) | |||||||
\(444\) | 22.0976 | − | 39.4806i | 0.0497694 | − | 0.0889203i | ||||
\(445\) | −158.491 | + | 132.990i | −0.356160 | + | 0.298853i | ||||
\(446\) | −234.571 | − | 279.551i | −0.525944 | − | 0.626796i | ||||
\(447\) | 164.574 | + | 92.1133i | 0.368174 | + | 0.206070i | ||||
\(448\) | 562.295 | − | 204.659i | 1.25512 | − | 0.456827i | ||||
\(449\) | −403.851 | + | 233.164i | −0.899446 | + | 0.519295i | −0.877020 | − | 0.480453i | \(-0.840472\pi\) |
−0.0224253 | + | 0.999749i | \(0.507139\pi\) | |||||||
\(450\) | −68.6105 | + | 86.3411i | −0.152468 | + | 0.191869i | ||||
\(451\) | −93.8599 | + | 162.570i | −0.208115 | + | 0.360466i | ||||
\(452\) | 3.78647 | + | 0.667658i | 0.00837716 | + | 0.00147712i | ||||
\(453\) | 262.201 | − | 226.038i | 0.578811 | − | 0.498980i | ||||
\(454\) | −228.800 | − | 83.2764i | −0.503965 | − | 0.183428i | ||||
\(455\) | −613.345 | + | 108.149i | −1.34801 | + | 0.237691i | ||||
\(456\) | 269.387 | − | 329.876i | 0.590761 | − | 0.723413i | ||||
\(457\) | 654.268 | + | 548.996i | 1.43166 | + | 1.20130i | 0.944724 | + | 0.327866i | \(0.106330\pi\) |
0.486935 | + | 0.873438i | \(0.338115\pi\) | |||||||
\(458\) | − | 254.180i | − | 0.554979i | ||||||
\(459\) | −11.3049 | − | 282.494i | −0.0246294 | − | 0.615455i | ||||
\(460\) | −13.4289 | −0.0291932 | ||||||||
\(461\) | −52.6518 | + | 62.7480i | −0.114212 | + | 0.136113i | −0.820121 | − | 0.572190i | \(-0.806094\pi\) |
0.705909 | + | 0.708302i | \(0.250539\pi\) | |||||||
\(462\) | 61.2547 | − | 376.693i | 0.132586 | − | 0.815353i | ||||
\(463\) | −113.673 | − | 644.671i | −0.245514 | − | 1.39238i | −0.819297 | − | 0.573370i | \(-0.805636\pi\) |
0.573783 | − | 0.819007i | \(-0.305475\pi\) | |||||||
\(464\) | −214.659 | + | 589.772i | −0.462628 | + | 1.27106i | ||||
\(465\) | −472.176 | + | 89.7640i | −1.01543 | + | 0.193041i | ||||
\(466\) | 136.941 | − | 776.631i | 0.293865 | − | 1.66659i | ||||
\(467\) | 113.391 | + | 65.4664i | 0.242808 | + | 0.140185i | 0.616466 | − | 0.787381i | \(-0.288564\pi\) |
−0.373659 | + | 0.927566i | \(0.621897\pi\) | |||||||
\(468\) | −34.3764 | + | 0.916852i | −0.0734539 | + | 0.00195908i | ||||
\(469\) | −76.9332 | − | 133.252i | −0.164037 | − | 0.284120i | ||||
\(470\) | −133.883 | − | 367.839i | −0.284856 | − | 0.782637i | ||||
\(471\) | −156.984 | + | 2.09309i | −0.333300 | + | 0.00444393i | ||||
\(472\) | −26.3772 | + | 22.1331i | −0.0558838 | + | 0.0468921i | ||||
\(473\) | 11.7548 | + | 14.0088i | 0.0248515 | + | 0.0296169i | ||||
\(474\) | 7.80060 | − | 4.64343i | 0.0164570 | − | 0.00979626i | ||||
\(475\) | −102.523 | + | 37.3155i | −0.215839 | + | 0.0785589i | ||||
\(476\) | 19.0031 | − | 10.9714i | 0.0399225 | − | 0.0230493i | ||||
\(477\) | 302.649 | + | 341.748i | 0.634484 | + | 0.716453i | ||||
\(478\) | 186.572 | − | 323.152i | 0.390318 | − | 0.676051i | ||||
\(479\) | −155.272 | − | 27.3786i | −0.324158 | − | 0.0571578i | 0.00920134 | − | 0.999958i | \(-0.497071\pi\) |
−0.333359 | + | 0.942800i | \(0.608182\pi\) | |||||||
\(480\) | 46.1191 | + | 16.0930i | 0.0960814 | + | 0.0335270i | ||||
\(481\) | 974.406 | + | 354.655i | 2.02579 | + | 0.737328i | ||||
\(482\) | 662.563 | − | 116.828i | 1.37461 | − | 0.242381i | ||||
\(483\) | −124.596 | − | 328.625i | −0.257962 | − | 0.680382i | ||||
\(484\) | 12.0260 | + | 10.0910i | 0.0248471 | + | 0.0208492i | ||||
\(485\) | 158.926i | 0.327683i | ||||||||
\(486\) | 423.093 | + | 208.010i | 0.870562 | + | 0.428003i | ||||
\(487\) | −698.201 | −1.43368 | −0.716839 | − | 0.697239i | \(-0.754412\pi\) | ||||
−0.716839 | + | 0.697239i | \(0.754412\pi\) | |||||||
\(488\) | −192.095 | + | 228.930i | −0.393637 | + | 0.469118i | ||||
\(489\) | −705.179 | + | 267.364i | −1.44208 | + | 0.546757i | ||||
\(490\) | 43.7197 | + | 247.947i | 0.0892238 | + | 0.506013i | ||||
\(491\) | 14.4407 | − | 39.6755i | 0.0294108 | − | 0.0808056i | −0.924118 | − | 0.382107i | \(-0.875199\pi\) |
0.953529 | + | 0.301301i | \(0.0974209\pi\) | |||||||
\(492\) | 5.92985 | − | 16.9937i | 0.0120525 | − | 0.0345401i | ||||
\(493\) | −76.0724 | + | 431.428i | −0.154305 | + | 0.875108i | ||||
\(494\) | 470.466 | + | 271.623i | 0.952359 | + | 0.549845i | ||||
\(495\) | 214.819 | − | 190.241i | 0.433978 | − | 0.384326i | ||||
\(496\) | 278.009 | + | 481.525i | 0.560501 | + | 0.970816i | ||||
\(497\) | 180.815 | + | 496.785i | 0.363813 | + | 0.999568i | ||||
\(498\) | 336.641 | + | 565.531i | 0.675986 | + | 1.13560i | ||||
\(499\) | −367.980 | + | 308.772i | −0.737435 | + | 0.618781i | −0.932147 | − | 0.362079i | \(-0.882067\pi\) |
0.194713 | + | 0.980860i | \(0.437623\pi\) | |||||||
\(500\) | −20.5115 | − | 24.4446i | −0.0410230 | − | 0.0488893i | ||||
\(501\) | 0.338559 | + | 25.3923i | 0.000675766 | + | 0.0506833i | ||||
\(502\) | −779.345 | + | 283.658i | −1.55248 | + | 0.565056i | ||||
\(503\) | 73.7969 | − | 42.6067i | 0.146714 | − | 0.0847051i | −0.424846 | − | 0.905266i | \(-0.639672\pi\) |
0.571560 | + | 0.820560i | \(0.306339\pi\) | |||||||
\(504\) | 17.5294 | + | 657.248i | 0.0347806 | + | 1.30406i | ||||
\(505\) | −184.352 | + | 319.307i | −0.365053 | + | 0.632290i | ||||
\(506\) | 185.732 | + | 32.7495i | 0.367059 | + | 0.0647223i | ||||
\(507\) | −52.5079 | − | 276.202i | −0.103566 | − | 0.544777i | ||||
\(508\) | 18.0455 | + | 6.56802i | 0.0355226 | + | 0.0129292i | ||||
\(509\) | 391.247 | − | 68.9874i | 0.768658 | − | 0.135535i | 0.224450 | − | 0.974486i | \(-0.427941\pi\) |
0.544208 | + | 0.838950i | \(0.316830\pi\) | |||||||
\(510\) | −260.031 | − | 42.2840i | −0.509864 | − | 0.0829098i | ||||
\(511\) | −358.803 | − | 301.071i | −0.702158 | − | 0.589180i | ||||
\(512\) | − | 549.639i | − | 1.07351i | ||||||
\(513\) | 249.175 | + | 394.284i | 0.485722 | + | 0.768584i | ||||
\(514\) | 551.146 | 1.07227 | ||||||||
\(515\) | 64.5765 | − | 76.9593i | 0.125391 | − | 0.149435i | ||||
\(516\) | −1.35807 | − | 1.10904i | −0.00263192 | − | 0.00214930i | ||||
\(517\) | −59.7842 | − | 339.053i | −0.115637 | − | 0.655809i | ||||
\(518\) | 377.376 | − | 1036.83i | 0.728525 | − | 2.00161i | ||||
\(519\) | 382.086 | + | 443.215i | 0.736196 | + | 0.853979i | ||||
\(520\) | −99.9817 | + | 567.025i | −0.192273 | + | 1.09043i | ||||
\(521\) | −19.7109 | − | 11.3801i | −0.0378328 | − | 0.0218428i | 0.480964 | − | 0.876740i | \(-0.340287\pi\) |
−0.518797 | + | 0.854897i | \(0.673620\pi\) | |||||||
\(522\) | −571.950 | − | 454.497i | −1.09569 | − | 0.870685i | ||||
\(523\) | −380.270 | − | 658.647i | −0.727093 | − | 1.25936i | −0.958107 | − | 0.286412i | \(-0.907537\pi\) |
0.231013 | − | 0.972951i | \(-0.425796\pi\) | |||||||
\(524\) | −11.7274 | − | 32.2208i | −0.0223806 | − | 0.0614901i | ||||
\(525\) | 82.2623 | − | 146.973i | 0.156690 | − | 0.279949i | ||||
\(526\) | 514.914 | − | 432.065i | 0.978925 | − | 0.821415i | ||||
\(527\) | 249.468 | + | 297.304i | 0.473373 | + | 0.564144i | ||||
\(528\) | −289.667 | − | 162.129i | −0.548613 | − | 0.307063i | ||||
\(529\) | −333.893 | + | 121.527i | −0.631178 | + | 0.229730i | ||||
\(530\) | 368.385 | − | 212.687i | 0.695067 | − | 0.401297i | ||||
\(531\) | −13.8375 | − | 35.0786i | −0.0260593 | − | 0.0660614i | ||||
\(532\) | −18.1003 | + | 31.3506i | −0.0340231 | + | 0.0589297i | ||||
\(533\) | 406.240 | + | 71.6311i | 0.762177 | + | 0.134392i | ||||
\(534\) | −211.010 | + | 181.907i | −0.395150 | + | 0.340650i | ||||
\(535\) | 388.973 | + | 141.575i | 0.727052 | + | 0.264625i | ||||
\(536\) | −140.085 | + | 24.7008i | −0.261353 | + | 0.0460836i | ||||
\(537\) | 401.419 | − | 491.556i | 0.747522 | − | 0.915374i | ||||
\(538\) | 442.755 | + | 371.516i | 0.822966 | + | 0.690550i | ||||
\(539\) | 221.437i | 0.410830i | ||||||||
\(540\) | −16.8278 | + | 21.7661i | −0.0311627 | + | 0.0403077i | ||||
\(541\) | −158.844 | −0.293612 | −0.146806 | − | 0.989165i | \(-0.546899\pi\) | ||||
−0.146806 | + | 0.989165i | \(0.546899\pi\) | |||||||
\(542\) | −459.785 | + | 547.950i | −0.848312 | + | 1.01098i | ||||
\(543\) | −42.2645 | + | 259.911i | −0.0778352 | + | 0.478657i | ||||
\(544\) | −6.84912 | − | 38.8433i | −0.0125903 | − | 0.0714031i | ||||
\(545\) | 151.033 | − | 414.959i | 0.277124 | − | 0.761393i | ||||
\(546\) | −823.886 | + | 156.627i | −1.50895 | + | 0.286862i | ||||
\(547\) | −114.270 | + | 648.057i | −0.208903 | + | 1.18475i | 0.682276 | + | 0.731095i | \(0.260990\pi\) |
−0.891179 | + | 0.453653i | \(0.850121\pi\) | |||||||
\(548\) | −38.3809 | − | 22.1592i | −0.0700382 | − | 0.0404366i | ||||
\(549\) | −171.139 | − | 278.970i | −0.311729 | − | 0.508143i | ||||
\(550\) | 45.1914 | + | 78.2737i | 0.0821661 | + | 0.142316i | ||||
\(551\) | −247.189 | − | 679.147i | −0.448620 | − | 1.23257i | ||||
\(552\) | −324.881 | + | 4.33167i | −0.588552 | + | 0.00784723i | ||||
\(553\) | −10.6208 | + | 8.91190i | −0.0192058 | + | 0.0161155i | ||||
\(554\) | −352.768 | − | 420.412i | −0.636765 | − | 0.758867i | ||||
\(555\) | 712.863 | − | 424.343i | 1.28444 | − | 0.764582i | ||||
\(556\) | −19.4632 | + | 7.08401i | −0.0350057 | + | 0.0127410i | ||||
\(557\) | 817.907 | − | 472.219i | 1.46842 | − | 0.847790i | 0.469041 | − | 0.883176i | \(-0.344600\pi\) |
0.999374 | + | 0.0353864i | \(0.0112662\pi\) | |||||||
\(558\) | −634.142 | + | 129.338i | −1.13645 | + | 0.231788i | ||||
\(559\) | 20.0927 | − | 34.8015i | 0.0359439 | − | 0.0622567i | ||||
\(560\) | 567.669 | + | 100.095i | 1.01370 | + | 0.178742i | ||||
\(561\) | −218.769 | − | 76.3380i | −0.389962 | − | 0.136075i | ||||
\(562\) | −512.538 | − | 186.549i | −0.911989 | − | 0.331937i | ||||
\(563\) | −1042.20 | + | 183.769i | −1.85116 | + | 0.326410i | −0.984892 | − | 0.173168i | \(-0.944600\pi\) |
−0.866269 | + | 0.499577i | \(0.833489\pi\) | |||||||
\(564\) | 11.7026 | + | 30.8659i | 0.0207493 | + | 0.0547268i | ||||
\(565\) | 54.0066 | + | 45.3169i | 0.0955868 | + | 0.0802069i | ||||
\(566\) | 846.352i | 1.49532i | ||||||||
\(567\) | −688.782 | − | 209.852i | −1.21478 | − | 0.370109i | ||||
\(568\) | 488.742 | 0.860462 | ||||||||
\(569\) | 114.850 | − | 136.873i | 0.201845 | − | 0.240550i | −0.655621 | − | 0.755090i | \(-0.727593\pi\) |
0.857466 | + | 0.514540i | \(0.172037\pi\) | |||||||
\(570\) | 406.394 | − | 154.082i | 0.712973 | − | 0.270319i | ||||
\(571\) | 104.611 | + | 593.280i | 0.183207 | + | 1.03902i | 0.928237 | + | 0.371988i | \(0.121324\pi\) |
−0.745030 | + | 0.667030i | \(0.767565\pi\) | |||||||
\(572\) | −9.63932 | + | 26.4838i | −0.0168520 | + | 0.0463004i | ||||
\(573\) | 317.521 | − | 909.948i | 0.554137 | − | 1.58804i | ||||
\(574\) | 76.2202 | − | 432.266i | 0.132788 | − | 0.753077i | ||||
\(575\) | 72.0819 | + | 41.6165i | 0.125360 | + | 0.0723766i | ||||
\(576\) | 574.613 | + | 191.953i | 0.997593 | + | 0.333252i | ||||
\(577\) | 87.1430 | + | 150.936i | 0.151028 | + | 0.261588i | 0.931606 | − | 0.363471i | \(-0.118408\pi\) |
−0.780578 | + | 0.625059i | \(0.785075\pi\) | |||||||
\(578\) | −119.017 | − | 326.995i | −0.205911 | − | 0.565736i | ||||
\(579\) | 94.6826 | + | 159.059i | 0.163528 | + | 0.274714i | ||||
\(580\) | 32.6577 | − | 27.4031i | 0.0563064 | − | 0.0472466i | ||||
\(581\) | −646.098 | − | 769.990i | −1.11205 | − | 1.32528i | ||||
\(582\) | 2.85307 | + | 213.984i | 0.00490218 | + | 0.367670i | ||||
\(583\) | 351.562 | − | 127.958i | 0.603022 | − | 0.219482i | ||||
\(584\) | −374.998 | + | 216.505i | −0.642121 | + | 0.370728i | ||||
\(585\) | −554.290 | − | 300.607i | −0.947504 | − | 0.513858i | ||||
\(586\) | −358.118 | + | 620.279i | −0.611123 | + | 1.05850i | ||||
\(587\) | 1005.60 | + | 177.314i | 1.71311 | + | 0.302068i | 0.942244 | − | 0.334928i | \(-0.108712\pi\) |
0.770867 | + | 0.636996i | \(0.219823\pi\) | |||||||
\(588\) | −3.96523 | − | 20.8579i | −0.00674358 | − | 0.0354725i | ||||
\(589\) | −601.664 | − | 218.988i | −1.02150 | − | 0.371796i | ||||
\(590\) | −34.6046 | + | 6.10173i | −0.0586519 | + | 0.0103419i | ||||
\(591\) | −663.916 | − | 107.960i | −1.12338 | − | 0.182674i | ||||
\(592\) | −735.189 | − | 616.897i | −1.24187 | − | 1.04206i | ||||
\(593\) | 848.172i | 1.43031i | 0.698967 | + | 0.715153i | \(0.253643\pi\) | ||||
−0.698967 | + | 0.715153i | \(0.746357\pi\) | |||||||
\(594\) | 285.824 | − | 260.004i | 0.481185 | − | 0.437716i | ||||
\(595\) | 402.349 | 0.676216 | ||||||||
\(596\) | −9.52606 | + | 11.3527i | −0.0159833 | + | 0.0190482i | ||||
\(597\) | 12.1003 | + | 9.88150i | 0.0202686 | + | 0.0165519i | ||||
\(598\) | −71.9658 | − | 408.138i | −0.120344 | − | 0.682505i | ||||
\(599\) | −108.727 | + | 298.725i | −0.181514 | + | 0.498706i | −0.996762 | − | 0.0804060i | \(-0.974378\pi\) |
0.815248 | + | 0.579112i | \(0.196601\pi\) | |||||||
\(600\) | −101.669 | − | 117.935i | −0.169449 | − | 0.196558i | ||||
\(601\) | −94.5670 | + | 536.316i | −0.157349 | + | 0.892372i | 0.799257 | + | 0.600989i | \(0.205227\pi\) |
−0.956606 | + | 0.291383i | \(0.905885\pi\) | |||||||
\(602\) | −37.0311 | − | 21.3799i | −0.0615134 | − | 0.0355148i | ||||
\(603\) | 22.9512 | − | 154.081i | 0.0380617 | − | 0.255524i | ||||
\(604\) | 13.6014 | + | 23.5583i | 0.0225189 | + | 0.0390039i | ||||
\(605\) | 98.4526 | + | 270.496i | 0.162732 | + | 0.447101i | ||||
\(606\) | −242.485 | + | 433.234i | −0.400140 | + | 0.714908i | ||||
\(607\) | 326.292 | − | 273.792i | 0.537549 | − | 0.451057i | −0.333150 | − | 0.942874i | \(-0.608111\pi\) |
0.870699 | + | 0.491817i | \(0.163667\pi\) | |||||||
\(608\) | 41.8266 | + | 49.8470i | 0.0687938 | + | 0.0819853i | ||||
\(609\) | 973.598 | + | 544.931i | 1.59868 | + | 0.894797i | ||||
\(610\) | −286.578 | + | 104.306i | −0.469800 | + | 0.170993i | ||||
\(611\) | −655.192 | + | 378.275i | −1.07233 | + | 0.619108i | ||||
\(612\) | 21.9735 | + | 3.27307i | 0.0359044 | + | 0.00534816i | ||||
\(613\) | −43.8571 | + | 75.9627i | −0.0715450 | + | 0.123920i | −0.899579 | − | 0.436759i | \(-0.856126\pi\) |
0.828034 | + | 0.560679i | \(0.189460\pi\) | |||||||
\(614\) | −699.710 | − | 123.378i | −1.13959 | − | 0.200941i | ||||
\(615\) | 249.964 | − | 215.488i | 0.406445 | − | 0.350387i | ||||
\(616\) | 506.348 | + | 184.295i | 0.821993 | + | 0.299181i | ||||
\(617\) | 679.824 | − | 119.871i | 1.10182 | − | 0.194281i | 0.406975 | − | 0.913439i | \(-0.366584\pi\) |
0.694846 | + | 0.719159i | \(0.255472\pi\) | |||||||
\(618\) | 85.5663 | − | 104.780i | 0.138457 | − | 0.169546i | ||||
\(619\) | 531.346 | + | 445.852i | 0.858393 | + | 0.720278i | 0.961621 | − | 0.274380i | \(-0.0884727\pi\) |
−0.103228 | + | 0.994658i | \(0.532917\pi\) | |||||||
\(620\) | − | 37.7678i | − | 0.0609158i | ||||||
\(621\) | 108.232 | − | 338.965i | 0.174286 | − | 0.545837i | ||||
\(622\) | 925.860 | 1.48852 | ||||||||
\(623\) | 273.497 | − | 325.941i | 0.438999 | − | 0.523179i | ||||
\(624\) | −117.080 | + | 719.998i | −0.187628 | + | 1.15384i | ||||
\(625\) | −74.1857 | − | 420.728i | −0.118697 | − | 0.673165i | ||||
\(626\) | −67.1313 | + | 184.442i | −0.107239 | + | 0.294635i | ||||
\(627\) | 375.533 | − | 71.3914i | 0.598936 | − | 0.113862i | ||||
\(628\) | 2.14227 | − | 12.1494i | 0.00341125 | − | 0.0193462i | ||||
\(629\) | −580.142 | − | 334.945i | −0.922324 | − | 0.532504i | ||||
\(630\) | −319.866 | + | 589.801i | −0.507723 | + | 0.936191i | ||||
\(631\) | −58.9015 | − | 102.020i | −0.0933463 | − | 0.161681i | 0.815571 | − | 0.578657i | \(-0.196423\pi\) |
−0.908917 | + | 0.416977i | \(0.863090\pi\) | |||||||
\(632\) | 4.38381 | + | 12.0444i | 0.00693640 | + | 0.0190576i | ||||
\(633\) | 69.1548 | − | 0.922048i | 0.109249 | − | 0.00145663i | ||||
\(634\) | 550.695 | − | 462.088i | 0.868604 | − | 0.728846i | ||||
\(635\) | 226.339 | + | 269.740i | 0.356439 | + | 0.424788i | ||||
\(636\) | −30.8234 | + | 18.3481i | −0.0484644 | + | 0.0288492i | ||||
\(637\) | 457.254 | − | 166.427i | 0.717825 | − | 0.261267i | ||||
\(638\) | −518.510 | + | 299.362i | −0.812711 | + | 0.469219i | ||||
\(639\) | −169.590 | + | 507.669i | −0.265399 | + | 0.794474i | ||||
\(640\) | 249.699 | − | 432.491i | 0.390155 | − | 0.675768i | ||||
\(641\) | 361.107 | + | 63.6729i | 0.563349 | + | 0.0993337i | 0.448068 | − | 0.893999i | \(-0.352112\pi\) |
0.115281 | + | 0.993333i | \(0.463223\pi\) | |||||||
\(642\) | 526.267 | + | 183.638i | 0.819731 | + | 0.286040i | ||||
\(643\) | −902.678 | − | 328.548i | −1.40385 | − | 0.510961i | −0.474534 | − | 0.880237i | \(-0.657383\pi\) |
−0.929320 | + | 0.369276i | \(0.879606\pi\) | |||||||
\(644\) | 27.1973 | − | 4.79561i | 0.0422318 | − | 0.00744660i | ||||
\(645\) | −11.3978 | − | 30.0620i | −0.0176710 | − | 0.0466078i | ||||
\(646\) | −268.844 | − | 225.587i | −0.416167 | − | 0.349206i | ||||
\(647\) | − | 181.832i | − | 0.281039i | −0.990078 | − | 0.140519i | \(-0.955123\pi\) | ||
0.990078 | − | 0.140519i | \(-0.0448772\pi\) | |||||||
\(648\) | −400.090 | + | 532.010i | −0.617423 | + | 0.821003i | ||||
\(649\) | −30.9049 | −0.0476192 | ||||||||
\(650\) | 127.666 | − | 152.146i | 0.196409 | − | 0.234071i | ||||
\(651\) | 924.234 | − | 350.417i | 1.41971 | − | 0.538275i | ||||
\(652\) | −10.2907 | − | 58.3612i | −0.0157832 | − | 0.0895111i | ||||
\(653\) | −301.244 | + | 827.662i | −0.461324 | + | 1.26748i | 0.463167 | + | 0.886271i | \(0.346713\pi\) |
−0.924491 | + | 0.381205i | \(0.875509\pi\) | |||||||
\(654\) | 195.906 | − | 561.426i | 0.299551 | − | 0.858449i | ||||
\(655\) | 109.177 | − | 619.171i | 0.166682 | − | 0.945300i | ||||
\(656\) | −330.638 | − | 190.894i | −0.504021 | − | 0.290997i | ||||
\(657\) | −94.7678 | − | 464.646i | −0.144243 | − | 0.707224i | ||||
\(658\) | 402.509 | + | 697.167i | 0.611717 | + | 1.05952i | ||||
\(659\) | −21.8046 | − | 59.9077i | −0.0330874 | − | 0.0909070i | 0.922049 | − | 0.387073i | \(-0.126514\pi\) |
−0.955136 | + | 0.296166i | \(0.904292\pi\) | |||||||
\(660\) | 11.5334 | + | 19.3752i | 0.0174748 | + | 0.0293564i | ||||
\(661\) | −351.302 | + | 294.777i | −0.531471 | + | 0.445957i | −0.868609 | − | 0.495498i | \(-0.834985\pi\) |
0.337138 | + | 0.941455i | \(0.390541\pi\) | |||||||
\(662\) | 444.792 | + | 530.083i | 0.671892 | + | 0.800730i | ||||
\(663\) | 6.78813 | + | 509.118i | 0.0102385 | + | 0.767901i | ||||
\(664\) | −873.200 | + | 317.819i | −1.31506 | + | 0.478643i | ||||
\(665\) | −574.850 | + | 331.890i | −0.864436 | + | 0.499082i | ||||
\(666\) | 952.204 | − | 584.147i | 1.42974 | − | 0.877097i | ||||
\(667\) | −275.681 | + | 477.493i | −0.413315 | + | 0.715882i | ||||
\(668\) | −1.96517 | − | 0.346513i | −0.00294187 | − | 0.000518732i | ||||
\(669\) | 105.385 | + | 554.343i | 0.157526 | + | 0.828615i | ||||
\(670\) | −136.407 | − | 49.6480i | −0.203592 | − | 0.0741015i | ||||
\(671\) | −264.151 | + | 46.5770i | −0.393668 | + | 0.0694142i | ||||
\(672\) | −99.1511 | − | 16.1231i | −0.147546 | − | 0.0239927i | ||||
\(673\) | −840.742 | − | 705.467i | −1.24925 | − | 1.04824i | −0.996743 | − | 0.0806456i | \(-0.974302\pi\) |
−0.252503 | − | 0.967596i | \(-0.581254\pi\) | |||||||
\(674\) | − | 778.465i | − | 1.15499i | ||||||
\(675\) | 157.780 | − | 64.6836i | 0.233749 | − | 0.0958276i | ||||
\(676\) | 22.0924 | 0.0326811 | ||||||||
\(677\) | 315.404 | − | 375.883i | 0.465884 | − | 0.555219i | −0.481031 | − | 0.876704i | \(-0.659737\pi\) |
0.946915 | + | 0.321485i | \(0.104182\pi\) | |||||||
\(678\) | 73.5297 | + | 60.0466i | 0.108451 | + | 0.0885643i | ||||
\(679\) | −56.7545 | − | 321.871i | −0.0835854 | − | 0.474036i | ||||
\(680\) | 127.219 | − | 349.531i | 0.187087 | − | 0.514016i | ||||
\(681\) | 245.825 | + | 285.155i | 0.360977 | + | 0.418729i | ||||
\(682\) | −92.1056 | + | 522.357i | −0.135052 | + | 0.765919i | ||||
\(683\) | 684.465 | + | 395.176i | 1.00215 | + | 0.578589i | 0.908882 | − | 0.417053i | \(-0.136937\pi\) |
0.0932631 | + | 0.995642i | \(0.470270\pi\) | |||||||
\(684\) | −34.0942 | + | 13.4492i | −0.0498453 | + | 0.0196625i | ||||
\(685\) | −406.316 | − | 703.760i | −0.593162 | − | 1.02739i | ||||
\(686\) | 111.952 | + | 307.585i | 0.163195 | + | 0.448375i | ||||
\(687\) | −191.959 | + | 342.962i | −0.279416 | + | 0.499216i | ||||
\(688\) | −28.4913 | + | 23.9070i | −0.0414118 | + | 0.0347486i | ||||
\(689\) | −528.451 | − | 629.783i | −0.766983 | − | 0.914054i | ||||
\(690\) | −289.330 | − | 161.941i | −0.419319 | − | 0.234697i | ||||
\(691\) | 202.870 | − | 73.8387i | 0.293589 | − | 0.106858i | −0.191027 | − | 0.981585i | \(-0.561182\pi\) |
0.484616 | + | 0.874727i | \(0.338959\pi\) | |||||||
\(692\) | −39.8221 | + | 22.9913i | −0.0575464 | + | 0.0332244i | ||||
\(693\) | −367.131 | + | 462.007i | −0.529771 | + | 0.666676i | ||||
\(694\) | −55.5671 | + | 96.2451i | −0.0800679 | + | 0.138682i | ||||
\(695\) | −374.014 | − | 65.9488i | −0.538150 | − | 0.0948904i | ||||
\(696\) | 781.239 | − | 673.488i | 1.12247 | − | 0.967655i | ||||
\(697\) | −250.419 | − | 91.1449i | −0.359281 | − | 0.130767i | ||||
\(698\) | −716.735 | + | 126.380i | −1.02684 | + | 0.181060i | ||||
\(699\) | −771.289 | + | 944.478i | −1.10342 | + | 1.35118i | ||||
\(700\) | 10.1386 | + | 8.50730i | 0.0144837 | + | 0.0121533i | ||||
\(701\) | 503.242i | 0.717891i | 0.933358 | + | 0.358946i | \(0.116864\pi\) | ||||
−0.933358 | + | 0.358946i | \(0.883136\pi\) | |||||||
\(702\) | −751.710 | − | 394.796i | −1.07081 | − | 0.562388i | ||||
\(703\) | 1105.16 | 1.57206 | ||||||||
\(704\) | 319.151 | − | 380.349i | 0.453339 | − | 0.540268i | ||||
\(705\) | −97.1489 | + | 597.429i | −0.137800 | + | 0.847417i | ||||
\(706\) | −74.1294 | − | 420.409i | −0.104999 | − | 0.595480i | ||||
\(707\) | 259.336 | − | 712.520i | 0.366812 | − | 1.00781i | ||||
\(708\) | 2.91103 | − | 0.553406i | 0.00411162 | − | 0.000781647i | ||||
\(709\) | 223.809 | − | 1269.28i | 0.315668 | − | 1.79024i | −0.252779 | − | 0.967524i | \(-0.581345\pi\) |
0.568447 | − | 0.822720i | \(-0.307544\pi\) | |||||||
\(710\) | 431.936 | + | 249.379i | 0.608361 | + | 0.351237i | ||||
\(711\) | −14.0320 | + | 0.374246i | −0.0197356 | + | 0.000526366i | ||||
\(712\) | −196.676 | − | 340.653i | −0.276230 | − | 0.478445i | ||||
\(713\) | 167.062 | + | 459.000i | 0.234309 | + | 0.643758i | ||||
\(714\) | 541.735 | − | 7.22301i | 0.758733 | − | 0.0101163i | ||||
\(715\) | −395.874 | + | 332.178i | −0.553671 | + | 0.464585i | ||||
\(716\) | 32.0554 | + | 38.2021i | 0.0447701 | + | 0.0533549i | ||||
\(717\) | −495.786 | + | 295.124i | −0.691473 | + | 0.411610i | ||||
\(718\) | 367.203 | − | 133.651i | 0.511424 | − | 0.186143i | ||||
\(719\) | 497.326 | − | 287.131i | 0.691691 | − | 0.399348i | −0.112554 | − | 0.993646i | \(-0.535903\pi\) |
0.804245 | + | 0.594298i | \(0.202570\pi\) | |||||||
\(720\) | 386.916 | + | 436.902i | 0.537384 | + | 0.606809i | ||||
\(721\) | −103.302 | + | 178.925i | −0.143277 | + | 0.248162i | ||||
\(722\) | −119.572 | − | 21.0837i | −0.165612 | − | 0.0292018i | ||||
\(723\) | −982.215 | − | 342.738i | −1.35853 | − | 0.474049i | ||||
\(724\) | −19.4440 | − | 7.07703i | −0.0268563 | − | 0.00977491i | ||||
\(725\) | −260.219 | + | 45.8836i | −0.358923 | + | 0.0632878i | ||||
\(726\) | 137.416 | + | 362.437i | 0.189278 | + | 0.499225i | ||||
\(727\) | 427.936 | + | 359.081i | 0.588633 | + | 0.493922i | 0.887769 | − | 0.460289i | \(-0.152254\pi\) |
−0.299136 | + | 0.954210i | \(0.596699\pi\) | |||||||
\(728\) | − | 1184.09i | − | 1.62650i | ||||||
\(729\) | −413.783 | − | 600.187i | −0.567604 | − | 0.823302i | ||||
\(730\) | −441.884 | −0.605320 | ||||||||
\(731\) | −16.6872 | + | 19.8871i | −0.0228279 | + | 0.0272053i | ||||
\(732\) | 24.0472 | − | 9.11732i | 0.0328513 | − | 0.0124554i | ||||
\(733\) | 195.824 | + | 1110.57i | 0.267155 | + | 1.51511i | 0.762829 | + | 0.646601i | \(0.223810\pi\) |
−0.495674 | + | 0.868509i | \(0.665079\pi\) | |||||||
\(734\) | 105.617 | − | 290.180i | 0.143892 | − | 0.395341i | ||||
\(735\) | 128.261 | − | 367.568i | 0.174504 | − | 0.500093i | ||||
\(736\) | 8.62014 | − | 48.8872i | 0.0117121 | − | 0.0664229i | ||||
\(737\) | −110.567 | − | 63.8358i | −0.150023 | − | 0.0866157i | ||||
\(738\) | 332.690 | − | 294.627i | 0.450800 | − | 0.399224i | ||||
\(739\) | −163.517 | − | 283.219i | −0.221268 | − | 0.383247i | 0.733926 | − | 0.679230i | \(-0.237686\pi\) |
−0.955193 | + | 0.295983i | \(0.904353\pi\) | |||||||
\(740\) | 22.2962 | + | 61.2582i | 0.0301299 | + | 0.0827813i | ||||
\(741\) | −429.660 | − | 721.796i | −0.579839 | − | 0.974084i | ||||
\(742\) | −670.131 | + | 562.307i | −0.903141 | + | 0.757826i | ||||
\(743\) | 239.908 | + | 285.911i | 0.322891 | + | 0.384806i | 0.902934 | − | 0.429780i | \(-0.141409\pi\) |
−0.580043 | + | 0.814586i | \(0.696964\pi\) | |||||||
\(744\) | −12.1825 | − | 913.704i | −0.0163743 | − | 1.22810i | ||||
\(745\) | −255.353 | + | 92.9408i | −0.342755 | + | 0.124753i | ||||
\(746\) | −86.7808 | + | 50.1029i | −0.116328 | + | 0.0671621i | ||||
\(747\) | −27.1322 | − | 1017.30i | −0.0363216 | − | 1.36184i | ||||
\(748\) | 9.10361 | − | 15.7679i | 0.0121706 | − | 0.0210801i | ||||
\(749\) | −838.337 | − | 147.821i | −1.11928 | − | 0.197358i | ||||
\(750\) | −147.147 | − | 774.020i | −0.196196 | − | 1.03203i | ||||
\(751\) | 1084.18 | + | 394.608i | 1.44364 | + | 0.525443i | 0.940808 | − | 0.338940i | \(-0.110068\pi\) |
0.502835 | + | 0.864383i | \(0.332290\pi\) | |||||||
\(752\) | 689.572 | − | 121.590i | 0.916984 | − | 0.161689i | ||||
\(753\) | 1265.78 | + | 205.830i | 1.68098 | + | 0.273347i | ||||
\(754\) | 1007.86 | + | 845.698i | 1.33669 | + | 1.12161i | ||||
\(755\) | 498.796i | 0.660657i | ||||||||
\(756\) | 26.3082 | − | 50.0920i | 0.0347992 | − | 0.0662592i | ||||
\(757\) | −372.849 | −0.492535 | −0.246268 | − | 0.969202i | \(-0.579204\pi\) | ||||
−0.246268 | + | 0.969202i | \(0.579204\pi\) | |||||||
\(758\) | −183.614 | + | 218.823i | −0.242235 | + | 0.288685i | ||||
\(759\) | −225.872 | − | 184.454i | −0.297592 | − | 0.243023i | ||||
\(760\) | 106.559 | + | 604.328i | 0.140210 | + | 0.795168i | ||||
\(761\) | −395.241 | + | 1085.91i | −0.519370 | + | 1.42696i | 0.351846 | + | 0.936058i | \(0.385554\pi\) |
−0.871216 | + | 0.490900i | \(0.836668\pi\) | |||||||
\(762\) | 309.592 | + | 359.124i | 0.406289 | + | 0.471291i | ||||
\(763\) | −157.697 | + | 894.345i | −0.206680 | + | 1.17214i | ||||
\(764\) | 65.5851 | + | 37.8656i | 0.0858444 | + | 0.0495623i | ||||
\(765\) | 318.922 | + | 253.430i | 0.416892 | + | 0.331281i | ||||
\(766\) | −110.333 | − | 191.102i | −0.144037 | − | 0.249480i | ||||
\(767\) | 23.2274 | + | 63.8167i | 0.0302834 | + | 0.0832030i | ||||
\(768\) | −66.0838 | + | 118.068i | −0.0860467 | + | 0.153735i | ||||
\(769\) | 813.852 | − | 682.903i | 1.05833 | − | 0.888041i | 0.0643812 | − | 0.997925i | \(-0.479493\pi\) |
0.993944 | + | 0.109885i | \(0.0350482\pi\) | |||||||
\(770\) | 353.459 | + | 421.236i | 0.459038 | + | 0.547060i | ||||
\(771\) | −743.653 | − | 416.229i | −0.964530 | − | 0.539856i | ||||
\(772\) | −13.6684 | + | 4.97488i | −0.0177052 | + | 0.00644415i | ||||
\(773\) | 808.848 | − | 466.989i | 1.04638 | − | 0.604125i | 0.124743 | − | 0.992189i | \(-0.460189\pi\) |
0.921632 | + | 0.388064i | \(0.126856\pi\) | |||||||
\(774\) | −15.8861 | − | 40.2718i | −0.0205246 | − | 0.0520308i | ||||
\(775\) | −117.044 | + | 202.725i | −0.151024 | + | 0.261581i | ||||
\(776\) | −297.563 | − | 52.4683i | −0.383457 | − | 0.0676138i | ||||
\(777\) | −1292.21 | + | 1113.99i | −1.66308 | + | 1.43370i | ||||
\(778\) | 660.728 | + | 240.485i | 0.849265 | + | 0.309107i | ||||
\(779\) | 432.966 | − | 76.3435i | 0.555797 | − | 0.0980020i | ||||
\(780\) | 31.3404 | − | 38.3777i | 0.0401800 | − | 0.0492022i | ||||
\(781\) | 336.037 | + | 281.968i | 0.430265 | + | 0.361035i | ||||
\(782\) | 267.735i | 0.342372i | ||||||||
\(783\) | 428.485 | + | 1045.19i | 0.547235 | + | 1.33485i | ||||
\(784\) | −450.363 | −0.574443 | ||||||||
\(785\) | 145.405 | − | 173.287i | 0.185229 | − | 0.220748i | ||||
\(786\) | 135.883 | − | 835.632i | 0.172880 | − | 1.06315i | ||||
\(787\) | 142.512 | + | 808.227i | 0.181083 | + | 1.02697i | 0.930886 | + | 0.365310i | \(0.119037\pi\) |
−0.749803 | + | 0.661661i | \(0.769852\pi\) | |||||||
\(788\) | 18.0776 | − | 49.6677i | 0.0229411 | − | 0.0630301i | ||||
\(789\) | −1021.06 | + | 194.111i | −1.29412 | + | 0.246022i | ||||
\(790\) | −2.27132 | + | 12.8813i | −0.00287509 | + | 0.0163055i | ||||
\(791\) | −125.562 | − | 72.4931i | −0.158738 | − | 0.0916473i | ||||
\(792\) | 285.274 | + | 465.019i | 0.360194 | + | 0.587145i | ||||
\(793\) | 294.708 | + | 510.450i | 0.371637 | + | 0.643694i | ||||
\(794\) | 489.078 | + | 1343.73i | 0.615967 | + | 1.69236i | ||||
\(795\) | −657.680 | + | 8.76891i | −0.827270 | + | 0.0110301i | ||||
\(796\) | −0.940399 | + | 0.789088i | −0.00118141 | + | 0.000991317i | ||||
\(797\) | 22.0398 | + | 26.2660i | 0.0276534 | + | 0.0329561i | 0.779694 | − | 0.626161i | \(-0.215375\pi\) |
−0.752040 | + | 0.659117i | \(0.770930\pi\) | |||||||
\(798\) | −768.038 | + | 457.187i | −0.962454 | + | 0.572916i | ||||
\(799\) | 459.275 | − | 167.162i | 0.574812 | − | 0.209215i | ||||
\(800\) | 20.6028 | − | 11.8950i | 0.0257535 | − | 0.0148688i | ||||
\(801\) | 422.090 | − | 86.0882i | 0.526954 | − | 0.107476i | ||||
\(802\) | −214.682 | + | 371.840i | −0.267683 | + | 0.463641i | ||||
\(803\) | −382.739 | − | 67.4873i | −0.476637 | − | 0.0840439i | ||||
\(804\) | 11.5577 | + | 4.03299i | 0.0143753 | + | 0.00501616i | ||||
\(805\) | 475.848 | + | 173.195i | 0.591116 | + | 0.215148i | ||||
\(806\) | 1147.86 | − | 202.399i | 1.42414 | − | 0.251115i | ||||
\(807\) | −316.832 | − | 835.653i | −0.392605 | − | 1.03551i | ||||
\(808\) | −536.985 | − | 450.584i | −0.664585 | − | 0.557653i | ||||
\(809\) | − | 521.511i | − | 0.644636i | −0.946631 | − | 0.322318i | \(-0.895538\pi\) | ||
0.946631 | − | 0.322318i | \(-0.104462\pi\) | |||||||
\(810\) | −625.043 | + | 266.031i | −0.771659 | + | 0.328433i | ||||
\(811\) | −684.645 | −0.844199 | −0.422099 | − | 0.906550i | \(-0.638707\pi\) | ||||
−0.422099 | + | 0.906550i | \(0.638707\pi\) | |||||||
\(812\) | −56.3550 | + | 67.1613i | −0.0694028 | + | 0.0827110i | ||||
\(813\) | 1034.20 | − | 392.109i | 1.27207 | − | 0.482298i | ||||
\(814\) | −158.980 | − | 901.622i | −0.195307 | − | 1.10764i | ||||
\(815\) | 371.650 | − | 1021.10i | 0.456012 | − | 1.25288i | ||||
\(816\) | 155.258 | − | 444.936i | 0.190267 | − | 0.545265i | ||||
\(817\) | 7.43718 | − | 42.1783i | 0.00910303 | − | 0.0516259i | ||||
\(818\) | −748.021 | − | 431.870i | −0.914451 | − | 0.527958i | ||||
\(819\) | 1229.94 | + | 410.870i | 1.50176 | + | 0.501673i | ||||
\(820\) | 12.9666 | + | 22.4588i | 0.0158129 | + | 0.0273887i | ||||
\(821\) | −463.561 | − | 1273.62i | −0.564630 | − | 1.55131i | −0.812770 | − | 0.582585i | \(-0.802041\pi\) |
0.248140 | − | 0.968724i | \(-0.420181\pi\) | |||||||
\(822\) | −559.711 | − | 940.271i | −0.680913 | − | 1.14388i | ||||
\(823\) | −498.544 | + | 418.328i | −0.605765 | + | 0.508297i | −0.893293 | − | 0.449475i | \(-0.851611\pi\) |
0.287528 | + | 0.957772i | \(0.407167\pi\) | |||||||
\(824\) | 122.774 | + | 146.316i | 0.148997 | + | 0.177568i | ||||
\(825\) | −1.86320 | − | 139.742i | −0.00225842 | − | 0.169385i | ||||
\(826\) | 67.9051 | − | 24.7154i | 0.0822096 | − | 0.0299218i | ||||
\(827\) | 1042.15 | − | 601.688i | 1.26016 | − | 0.727555i | 0.287056 | − | 0.957914i | \(-0.407323\pi\) |
0.973106 | + | 0.230359i | \(0.0739900\pi\) | |||||||
\(828\) | 24.5786 | + | 13.3297i | 0.0296843 | + | 0.0160986i | ||||
\(829\) | 753.210 | − | 1304.60i | 0.908577 | − | 1.57370i | 0.0925344 | − | 0.995709i | \(-0.470503\pi\) |
0.816043 | − | 0.577992i | \(-0.196163\pi\) | |||||||
\(830\) | −933.875 | − | 164.667i | −1.12515 | − | 0.198394i | ||||
\(831\) | 158.486 | + | 833.669i | 0.190718 | + | 1.00321i | ||||
\(832\) | −1025.26 | − | 373.165i | −1.23229 | − | 0.448516i | ||||
\(833\) | −309.580 | + | 54.5873i | −0.371645 | + | 0.0655310i | ||||
\(834\) | −504.769 | − | 82.0812i | −0.605238 | − | 0.0984188i | ||||
\(835\) | −28.0293 | − | 23.5194i | −0.0335680 | − | 0.0281669i | ||||
\(836\) | 30.0376i | 0.0359301i | ||||||||
\(837\) | 953.315 | + | 304.395i | 1.13897 | + | 0.363673i | ||||
\(838\) | −1119.86 | −1.33635 | ||||||||
\(839\) | 38.2178 | − | 45.5462i | 0.0455516 | − | 0.0542863i | −0.742788 | − | 0.669527i | \(-0.766497\pi\) |
0.788339 | + | 0.615241i | \(0.210941\pi\) | |||||||
\(840\) | −733.749 | − | 599.202i | −0.873511 | − | 0.713335i | ||||
\(841\) | −157.909 | − | 895.549i | −0.187764 | − | 1.06486i | ||||
\(842\) | −222.961 | + | 612.579i | −0.264799 | + | 0.727529i | ||||
\(843\) | 550.677 | + | 638.779i | 0.653235 | + | 0.757745i | ||||
\(844\) | −0.943711 | + | 5.35205i | −0.00111814 | + | 0.00634129i | ||||
\(845\) | 350.819 | + | 202.546i | 0.415171 | + | 0.239699i | ||||
\(846\) | −120.079 | + | 806.142i | −0.141938 | + | 0.952886i | ||||
\(847\) | −295.992 | − | 512.672i | −0.349459 | − | 0.605280i | ||||
\(848\) | 260.243 | + | 715.013i | 0.306891 | + | 0.843175i | ||||
\(849\) | 639.171 | − | 1141.97i | 0.752851 | − | 1.34508i | ||||
\(850\) | −98.2901 | + | 82.4752i | −0.115635 | + | 0.0970297i | ||||
\(851\) | −541.940 | − | 645.858i | −0.636827 | − | 0.758941i | ||||
\(852\) | −36.7015 | − | 20.5421i | −0.0430769 | − | 0.0241105i | ||||
\(853\) | 330.344 | − | 120.235i | 0.387273 | − | 0.140956i | −0.141043 | − | 0.990003i | \(-0.545046\pi\) |
0.528316 | + | 0.849048i | \(0.322823\pi\) | |||||||
\(854\) | 543.152 | − | 313.589i | 0.636009 | − | 0.367200i | ||||
\(855\) | −664.705 | − | 99.0115i | −0.777433 | − | 0.115803i | ||||
\(856\) | −393.491 | + | 681.546i | −0.459685 | + | 0.796198i | ||||
\(857\) | −1219.40 | − | 215.013i | −1.42287 | − | 0.250890i | −0.591363 | − | 0.806405i | \(-0.701410\pi\) |
−0.831507 | + | 0.555515i | \(0.812521\pi\) | |||||||
\(858\) | −527.055 | + | 454.362i | −0.614283 | + | 0.529560i | ||||
\(859\) | 249.859 | + | 90.9414i | 0.290872 | + | 0.105869i | 0.483335 | − | 0.875435i | \(-0.339425\pi\) |
−0.192463 | + | 0.981304i | \(0.561647\pi\) | |||||||
\(860\) | 2.48796 | − | 0.438694i | 0.00289297 | − | 0.000510109i | ||||
\(861\) | −429.293 | + | 525.688i | −0.498598 | + | 0.610556i | ||||
\(862\) | 169.134 | + | 141.921i | 0.196211 | + | 0.164641i | ||||
\(863\) | − | 297.514i | − | 0.344744i | −0.985032 | − | 0.172372i | \(-0.944857\pi\) | ||
0.985032 | − | 0.172372i | \(-0.0551431\pi\) | |||||||
\(864\) | −68.4367 | − | 75.2329i | −0.0792091 | − | 0.0870752i | ||||
\(865\) | −843.145 | −0.974734 | ||||||||
\(866\) | 254.678 | − | 303.514i | 0.294086 | − | 0.350478i | ||||
\(867\) | −86.3617 | + | 531.092i | −0.0996098 | + | 0.612563i | ||||
\(868\) | 13.4873 | + | 76.4904i | 0.0155384 | + | 0.0881225i | ||||
\(869\) | −3.93463 | + | 10.8103i | −0.00452777 | + | 0.0124400i | ||||
\(870\) | 1034.08 | − | 196.586i | 1.18860 | − | 0.225961i | ||||
\(871\) | −48.7176 | + | 276.291i | −0.0559329 | + | 0.317211i | ||||
\(872\) | 727.078 | + | 419.779i | 0.833805 | + | 0.481398i | ||||
\(873\) | 157.752 | − | 290.880i | 0.180701 | − | 0.333195i | ||||
\(874\) | −220.849 | − | 382.522i | −0.252688 | − | 0.437669i | ||||
\(875\) | 411.552 | + | 1130.73i | 0.470345 | + | 1.29226i | ||||
\(876\) | 37.2599 | − | 0.496790i | 0.0425341 | − | 0.000567112i | ||||
\(877\) | −276.515 | + | 232.024i | −0.315296 | + | 0.264565i | −0.786677 | − | 0.617365i | \(-0.788200\pi\) |
0.471381 | + | 0.881930i | \(0.343756\pi\) | |||||||
\(878\) | 503.638 | + | 600.213i | 0.573620 | + | 0.683613i | ||||
\(879\) | 951.642 | − | 566.480i | 1.08264 | − | 0.644459i | ||||
\(880\) | 449.448 | − | 163.586i | 0.510737 | − | 0.185893i | ||||
\(881\) | −782.766 | + | 451.930i | −0.888497 | + | 0.512974i | −0.873451 | − | 0.486913i | \(-0.838123\pi\) |
−0.0150464 | + | 0.999887i | \(0.504790\pi\) | |||||||
\(882\) | 166.096 | − | 497.208i | 0.188317 | − | 0.563728i | ||||
\(883\) | 462.202 | − | 800.558i | 0.523445 | − | 0.906634i | −0.476182 | − | 0.879347i | \(-0.657980\pi\) |
0.999628 | − | 0.0272872i | \(-0.00868687\pi\) | |||||||
\(884\) | −39.4019 | − | 6.94761i | −0.0445722 | − | 0.00785929i | ||||
\(885\) | 51.2996 | + | 17.9007i | 0.0579656 | + | 0.0202268i | ||||
\(886\) | 1206.24 | + | 439.036i | 1.36144 | + | 0.495525i | ||||
\(887\) | 275.138 | − | 48.5142i | 0.310189 | − | 0.0546947i | −0.0163867 | − | 0.999866i | \(-0.505216\pi\) |
0.326576 | + | 0.945171i | \(0.394105\pi\) | |||||||
\(888\) | 559.164 | + | 1474.81i | 0.629689 | + | 1.66082i | ||||
\(889\) | −554.727 | − | 465.471i | −0.623990 | − | 0.523590i | ||||
\(890\) | − | 401.412i | − | 0.451025i | ||||||
\(891\) | −582.014 | + | 134.963i | −0.653215 | + | 0.151474i | ||||
\(892\) | −44.3400 | −0.0497086 | ||||||||
\(893\) | −518.293 | + | 617.678i | −0.580396 | + | 0.691689i | ||||
\(894\) | −342.147 | + | 129.723i | −0.382714 | + | 0.145104i | ||||
\(895\) | 158.786 | + | 900.521i | 0.177415 | + | 1.00617i | ||||
\(896\) | −351.263 | + | 965.087i | −0.392035 | + | 1.07711i | ||||
\(897\) | −211.126 | + | 605.044i | −0.235369 | + | 0.674519i | ||||
\(898\) | 157.109 | − | 891.009i | 0.174954 | − | 0.992215i | ||||
\(899\) | −1342.92 | − | 775.333i | −1.49379 | − | 0.862440i | ||||
\(900\) | 2.67783 | + | 13.1294i | 0.00297537 | + | 0.0145882i | ||||
\(901\) | 265.556 | + | 459.957i | 0.294735 | + | 0.510496i | ||||
\(902\) | −124.567 | − | 342.244i | −0.138100 | − | 0.379428i | ||||
\(903\) | 33.8193 | + | 56.8137i | 0.0374521 | + | 0.0629166i | ||||
\(904\) | −102.678 | + | 86.1571i | −0.113582 | + | 0.0953065i | ||||
\(905\) | −243.880 | − | 290.645i | −0.269480 | − | 0.321154i | ||||
\(906\) | 8.95444 | + | 671.595i | 0.00988349 | + | 0.741274i | ||||
\(907\) | 555.388 | − | 202.145i | 0.612335 | − | 0.222872i | −0.0171896 | − | 0.999852i | \(-0.505472\pi\) |
0.629525 | + | 0.776981i | \(0.283250\pi\) | |||||||
\(908\) | −25.6206 | + | 14.7921i | −0.0282166 | + | 0.0162908i | ||||
\(909\) | 654.362 | − | 401.430i | 0.719871 | − | 0.441617i | ||||
\(910\) | 604.176 | − | 1046.46i | 0.663930 | − | 1.14996i | ||||
\(911\) | −372.493 | − | 65.6805i | −0.408883 | − | 0.0720972i | −0.0345765 | − | 0.999402i | \(-0.511008\pi\) |
−0.374307 | + | 0.927305i | \(0.622119\pi\) | |||||||
\(912\) | 145.197 | + | 763.765i | 0.159207 | + | 0.837462i | ||||
\(913\) | −783.731 | − | 285.255i | −0.858413 | − | 0.312437i | ||||
\(914\) | −1631.90 | + | 287.748i | −1.78545 | + | 0.314823i | ||||
\(915\) | 465.448 | + | 75.6872i | 0.508686 | + | 0.0827182i | ||||
\(916\) | −23.6584 | − | 19.8517i | −0.0258279 | − | 0.0216722i | ||||
\(917\) | 1292.98i | 1.41002i | ||||||||
\(918\) | 433.957 | + | 335.501i | 0.472720 | + | 0.365470i | ||||
\(919\) | 86.9159 | 0.0945766 | 0.0472883 | − | 0.998881i | \(-0.484942\pi\) | ||||
0.0472883 | + | 0.998881i | \(0.484942\pi\) | |||||||
\(920\) | 300.917 | − | 358.619i | 0.327084 | − | 0.389803i | ||||
\(921\) | 850.933 | + | 694.898i | 0.923923 | + | 0.754503i | ||||
\(922\) | −27.5966 | − | 156.508i | −0.0299313 | − | 0.169749i | ||||
\(923\) | 329.690 | − | 905.816i | 0.357194 | − | 0.981383i | ||||
\(924\) | −30.2775 | − | 35.1215i | −0.0327678 | − | 0.0380103i | ||||
\(925\) | 70.1624 | − | 397.911i | 0.0758513 | − | 0.430174i | ||||
\(926\) | 1099.91 | + | 635.033i | 1.18781 | + | 0.685781i | ||||
\(927\) | −194.584 | + | 76.7575i | −0.209907 | + | 0.0828020i | ||||
\(928\) | 78.7963 | + | 136.479i | 0.0849098 | + | 0.147068i | ||||
\(929\) | 231.271 | + | 635.412i | 0.248946 | + | 0.683975i | 0.999726 | + | 0.0234215i | \(0.00745597\pi\) |
−0.750779 | + | 0.660553i | \(0.770322\pi\) | |||||||
\(930\) | 455.447 | − | 813.721i | 0.489728 | − | 0.874969i | ||||
\(931\) | 397.280 | − | 333.357i | 0.426724 | − | 0.358064i | ||||
\(932\) | −61.5914 | − | 73.4018i | −0.0660852 | − | 0.0787573i | ||||
\(933\) | −1249.25 | − | 699.215i | −1.33896 | − | 0.749427i | ||||
\(934\) | −238.712 | + | 86.8841i | −0.255580 | + | 0.0930236i | ||||
\(935\) | 289.124 | − | 166.926i | 0.309223 | − | 0.178530i | ||||
\(936\) | 745.830 | − | 938.570i | 0.796827 | − | 1.00275i | ||||
\(937\) | 168.348 | − | 291.587i | 0.179667 | − | 0.311192i | −0.762100 | − | 0.647460i | \(-0.775831\pi\) |
0.941766 | + | 0.336268i | \(0.109165\pi\) | |||||||
\(938\) | 293.992 | + | 51.8387i | 0.313424 | + | 0.0552651i | ||||
\(939\) | 229.871 | − | 198.167i | 0.244804 | − | 0.211040i | ||||
\(940\) | −44.6938 | − | 16.2672i | −0.0475466 | − | 0.0173055i | ||||
\(941\) | 232.277 | − | 40.9567i | 0.246841 | − | 0.0435247i | −0.0488587 | − | 0.998806i | \(-0.515558\pi\) |
0.295699 | + | 0.955281i | \(0.404447\pi\) | |||||||
\(942\) | 192.667 | − | 235.930i | 0.204530 | − | 0.250456i | ||||
\(943\) | −256.930 | − | 215.590i | −0.272460 | − | 0.228621i | ||||
\(944\) | − | 62.8549i | − | 0.0665836i | ||||||
\(945\) | 877.011 | − | 554.245i | 0.928054 | − | 0.586502i | ||||
\(946\) | −35.4802 | −0.0375055 | ||||||||
\(947\) | 411.104 | − | 489.935i | 0.434112 | − | 0.517355i | −0.503992 | − | 0.863708i | \(-0.668136\pi\) |
0.938104 | + | 0.346354i | \(0.112580\pi\) | |||||||
\(948\) | 0.177038 | − | 1.08871i | 0.000186748 | − | 0.00114843i | ||||
\(949\) | 148.301 | + | 841.055i | 0.156271 | + | 0.886254i | ||||
\(950\) | 72.3984 | − | 198.913i | 0.0762088 | − | 0.209382i | ||||
\(951\) | −1092.02 | + | 207.600i | −1.14828 | + | 0.218297i | ||||
\(952\) | −132.832 | + | 753.330i | −0.139530 | + | 0.791313i | ||||
\(953\) | −742.976 | − | 428.957i | −0.779618 | − | 0.450112i | 0.0566772 | − | 0.998393i | \(-0.481949\pi\) |
−0.836295 | + | 0.548280i | \(0.815283\pi\) | |||||||
\(954\) | −885.364 | + | 23.6135i | −0.928055 | + | 0.0247521i | ||||
\(955\) | 694.310 | + | 1202.58i | 0.727027 | + | 1.25925i | ||||
\(956\) | −15.5066 | − | 42.6041i | −0.0162203 | − | 0.0445650i | ||||
\(957\) | 925.697 | − | 12.3424i | 0.967291 | − | 0.0128970i | ||||
\(958\) | 234.334 | − | 196.629i | 0.244607 | − | 0.205250i | ||||
\(959\) | 1074.22 | + | 1280.21i | 1.12015 | + | 1.33494i | ||||
\(960\) | −750.070 | + | 446.491i | −0.781322 | + | 0.465094i | ||||
\(961\) | −387.860 | + | 141.169i | −0.403600 | + | 0.146898i | ||||
\(962\) | −1742.31 | + | 1005.92i | −1.81113 | + | 1.04566i | ||||
\(963\) | −571.400 | − | 645.220i | −0.593354 | − | 0.670010i | ||||
\(964\) | 40.8728 | − | 70.7938i | 0.0423992 | − | 0.0734376i | ||||
\(965\) | −262.659 | − | 46.3138i | −0.272185 | − | 0.0479936i | ||||
\(966\) | 643.806 | + | 224.652i | 0.666466 | + | 0.232559i | ||||
\(967\) | −538.010 | − | 195.820i | −0.556371 | − | 0.202502i | 0.0485042 | − | 0.998823i | \(-0.484555\pi\) |
−0.604875 | + | 0.796321i | \(0.706777\pi\) | |||||||
\(968\) | −538.962 | + | 95.0335i | −0.556779 | + | 0.0981751i | ||||
\(969\) | 192.383 | + | 507.414i | 0.198537 | + | 0.523647i | ||||
\(970\) | −236.205 | − | 198.200i | −0.243511 | − | 0.204330i | ||||
\(971\) | − | 140.513i | − | 0.144710i | −0.997379 | − | 0.0723548i | \(-0.976949\pi\) | ||
0.997379 | − | 0.0723548i | \(-0.0230514\pi\) | |||||||
\(972\) | 52.4050 | − | 23.1346i | 0.0539146 | − | 0.0238010i | ||||
\(973\) | 781.035 | 0.802708 | ||||||||
\(974\) | 870.739 | − | 1037.71i | 0.893983 | − | 1.06541i | ||||
\(975\) | −287.159 | + | 108.874i | −0.294522 | + | 0.111666i | ||||
\(976\) | −94.7290 | − | 537.235i | −0.0970584 | − | 0.550446i | ||||
\(977\) | −528.635 | + | 1452.41i | −0.541079 | + | 1.48660i | 0.304373 | + | 0.952553i | \(0.401553\pi\) |
−0.845453 | + | 0.534050i | \(0.820669\pi\) | |||||||
\(978\) | 482.070 | − | 1381.51i | 0.492914 | − | 1.41259i | ||||
\(979\) | 61.3063 | − | 347.685i | 0.0626213 | − | 0.355143i | ||||
\(980\) | 26.4927 | + | 15.2956i | 0.0270334 | + | 0.0156077i | ||||
\(981\) | −688.326 | + | 609.574i | −0.701657 | + | 0.621380i | ||||
\(982\) | 40.9588 | + | 70.9427i | 0.0417095 | + | 0.0722430i | ||||
\(983\) | 359.214 | + | 986.932i | 0.365426 | + | 1.00400i | 0.977080 | + | 0.212874i | \(0.0682824\pi\) |
−0.611654 | + | 0.791126i | \(0.709495\pi\) | |||||||
\(984\) | 320.941 | + | 539.156i | 0.326159 | + | 0.547923i | ||||
\(985\) | 742.423 | − | 622.967i | 0.753729 | − | 0.632454i | ||||
\(986\) | −546.342 | − | 651.105i | −0.554099 | − | 0.660350i | ||||
\(987\) | −16.5951 | − | 1244.65i | −0.0168137 | − | 1.26105i | ||||
\(988\) | 62.0258 | − | 22.5755i | 0.0627791 | − | 0.0228497i | ||||
\(989\) | −28.2961 | + | 16.3368i | −0.0286109 | + | 0.0165185i | ||||
\(990\) | 14.8432 | + | 556.529i | 0.0149931 | + | 0.562151i | ||||
\(991\) | −255.730 | + | 442.938i | −0.258053 | + | 0.446961i | −0.965720 | − | 0.259585i | \(-0.916414\pi\) |
0.707667 | + | 0.706546i | \(0.249748\pi\) | |||||||
\(992\) | 137.492 | + | 24.2435i | 0.138601 | + | 0.0244390i | ||||
\(993\) | −199.830 | − | 1051.14i | −0.201238 | − | 1.05855i | ||||
\(994\) | −963.848 | − | 350.812i | −0.969666 | − | 0.352930i | ||||
\(995\) | −22.1676 | + | 3.90874i | −0.0222790 | + | 0.00392839i | ||||
\(996\) | 78.9300 | + | 12.8349i | 0.0792470 | + | 0.0128865i | ||||
\(997\) | 250.278 | + | 210.008i | 0.251031 | + | 0.210640i | 0.759616 | − | 0.650371i | \(-0.225387\pi\) |
−0.508585 | + | 0.861012i | \(0.669831\pi\) | |||||||
\(998\) | − | 931.987i | − | 0.933855i | ||||||
\(999\) | −1725.95 | + | 69.0694i | −1.72767 | + | 0.0691385i |
(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 | 27.3.f.a.11.2 | yes | 30 | |
3.2 | odd | 2 | 81.3.f.a.35.4 | 30 | |||
4.3 | odd | 2 | 432.3.bc.a.65.1 | 30 | |||
9.2 | odd | 6 | 243.3.f.b.26.2 | 30 | |||
9.4 | even | 3 | 243.3.f.d.188.2 | 30 | |||
9.5 | odd | 6 | 243.3.f.a.188.4 | 30 | |||
9.7 | even | 3 | 243.3.f.c.26.4 | 30 | |||
27.4 | even | 9 | 243.3.f.b.215.2 | 30 | |||
27.5 | odd | 18 | inner | 27.3.f.a.5.2 | ✓ | 30 | |
27.7 | even | 9 | 729.3.b.a.728.22 | 30 | |||
27.13 | even | 9 | 243.3.f.a.53.4 | 30 | |||
27.14 | odd | 18 | 243.3.f.d.53.2 | 30 | |||
27.20 | odd | 18 | 729.3.b.a.728.9 | 30 | |||
27.22 | even | 9 | 81.3.f.a.44.4 | 30 | |||
27.23 | odd | 18 | 243.3.f.c.215.4 | 30 | |||
108.59 | even | 18 | 432.3.bc.a.113.1 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.5.2 | ✓ | 30 | 27.5 | odd | 18 | inner | |
27.3.f.a.11.2 | yes | 30 | 1.1 | even | 1 | trivial | |
81.3.f.a.35.4 | 30 | 3.2 | odd | 2 | |||
81.3.f.a.44.4 | 30 | 27.22 | even | 9 | |||
243.3.f.a.53.4 | 30 | 27.13 | even | 9 | |||
243.3.f.a.188.4 | 30 | 9.5 | odd | 6 | |||
243.3.f.b.26.2 | 30 | 9.2 | odd | 6 | |||
243.3.f.b.215.2 | 30 | 27.4 | even | 9 | |||
243.3.f.c.26.4 | 30 | 9.7 | even | 3 | |||
243.3.f.c.215.4 | 30 | 27.23 | odd | 18 | |||
243.3.f.d.53.2 | 30 | 27.14 | odd | 18 | |||
243.3.f.d.188.2 | 30 | 9.4 | even | 3 | |||
432.3.bc.a.65.1 | 30 | 4.3 | odd | 2 | |||
432.3.bc.a.113.1 | 30 | 108.59 | even | 18 | |||
729.3.b.a.728.9 | 30 | 27.20 | odd | 18 | |||
729.3.b.a.728.22 | 30 | 27.7 | even | 9 |