Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.11 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.11 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.121276 | + | 2.15952i | −0.0857553 | + | 1.52701i | 0.600483 | + | 0.799637i | \(0.294975\pi\) |
−0.686238 | + | 0.727377i | \(0.740739\pi\) | |||||||
\(3\) | 3.02862 | + | 0.841943i | 1.74857 | + | 0.486096i | 0.986827 | − | 0.161781i | \(-0.0517238\pi\) |
0.761745 | + | 0.647877i | \(0.224343\pi\) | |||||||
\(4\) | −2.66141 | − | 0.299869i | −1.33071 | − | 0.149934i | ||||
\(5\) | −3.65250 | + | 1.08935i | −1.63345 | + | 0.487173i | −0.966228 | − | 0.257688i | \(-0.917039\pi\) |
−0.667219 | + | 0.744862i | \(0.732515\pi\) | |||||||
\(6\) | −2.18549 | + | 6.43826i | −0.892224 | + | 2.62841i | ||||
\(7\) | −0.191575 | + | 2.92287i | −0.0724086 | + | 1.10474i | 0.794825 | + | 0.606839i | \(0.207563\pi\) |
−0.867233 | + | 0.497902i | \(0.834104\pi\) | |||||||
\(8\) | 0.245733 | − | 1.44628i | 0.0868797 | − | 0.511337i | ||||
\(9\) | 5.89407 | + | 3.55152i | 1.96469 | + | 1.18384i | ||||
\(10\) | −1.90952 | − | 8.01977i | −0.603844 | − | 2.53607i | ||||
\(11\) | −2.99864 | − | 1.54913i | −0.904123 | − | 0.467081i | −0.0569373 | − | 0.998378i | \(-0.518134\pi\) |
−0.847186 | + | 0.531297i | \(0.821705\pi\) | |||||||
\(12\) | −7.80792 | − | 3.14894i | −2.25395 | − | 0.909022i | ||||
\(13\) | 5.61810 | + | 0.210215i | 1.55818 | + | 0.0583031i | 0.802507 | − | 0.596643i | \(-0.203499\pi\) |
0.755675 | + | 0.654946i | \(0.227309\pi\) | |||||||
\(14\) | −6.28878 | − | 0.768186i | −1.68075 | − | 0.205306i | ||||
\(15\) | −11.9792 | + | 0.224036i | −3.09301 | + | 0.0578459i | ||||
\(16\) | −2.12873 | − | 0.485868i | −0.532182 | − | 0.121467i | ||||
\(17\) | −0.253549 | − | 4.11530i | −0.0614946 | − | 0.998107i | ||||
\(18\) | −8.38441 | + | 12.2977i | −1.97622 | + | 2.89859i | ||||
\(19\) | −1.70608 | − | 2.83140i | −0.391403 | − | 0.649568i | 0.596858 | − | 0.802347i | \(-0.296416\pi\) |
−0.988260 | + | 0.152780i | \(0.951178\pi\) | |||||||
\(20\) | 10.0475 | − | 1.80394i | 2.24668 | − | 0.403374i | ||||
\(21\) | −3.04110 | + | 8.69096i | −0.663622 | + | 1.89652i | ||||
\(22\) | 3.70905 | − | 6.28776i | 0.790773 | − | 1.34055i | ||||
\(23\) | 3.23150 | + | 5.03772i | 0.673814 | + | 1.05044i | 0.994650 | + | 0.103302i | \(0.0329409\pi\) |
−0.320836 | + | 0.947135i | \(0.603964\pi\) | |||||||
\(24\) | 1.96192 | − | 4.17333i | 0.400474 | − | 0.851878i | ||||
\(25\) | 7.97092 | − | 5.21886i | 1.59418 | − | 1.04377i | ||||
\(26\) | −1.13531 | + | 12.1069i | −0.222652 | + | 2.37437i | ||||
\(27\) | 8.38204 | + | 8.86597i | 1.61312 | + | 1.70626i | ||||
\(28\) | 1.38634 | − | 7.72151i | 0.261993 | − | 1.45923i | ||||
\(29\) | −3.91399 | + | 3.06187i | −0.726809 | + | 0.568575i | −0.910053 | − | 0.414492i | \(-0.863959\pi\) |
0.183244 | + | 0.983067i | \(0.441340\pi\) | |||||||
\(30\) | 0.968979 | − | 25.8965i | 0.176911 | − | 4.72803i | ||||
\(31\) | 0.813103 | + | 1.91224i | 0.146038 | + | 0.343448i | 0.977116 | − | 0.212708i | \(-0.0682282\pi\) |
−0.831078 | + | 0.556156i | \(0.812276\pi\) | |||||||
\(32\) | 2.11965 | − | 7.35746i | 0.374704 | − | 1.30063i | ||||
\(33\) | −7.77744 | − | 7.21641i | −1.35388 | − | 1.25622i | ||||
\(34\) | 8.91784 | − | 0.0484557i | 1.52940 | − | 0.00831008i | ||||
\(35\) | −2.48431 | − | 10.8845i | −0.419925 | − | 1.83981i | ||||
\(36\) | −14.6215 | − | 11.2195i | −2.43692 | − | 1.86992i | ||||
\(37\) | −2.70053 | − | 2.36830i | −0.443965 | − | 0.389347i | 0.407969 | − | 0.912996i | \(-0.366237\pi\) |
−0.851934 | + | 0.523649i | \(0.824570\pi\) | |||||||
\(38\) | 6.32138 | − | 3.34095i | 1.02546 | − | 0.541973i | ||||
\(39\) | 16.8381 | + | 5.36678i | 2.69625 | + | 0.859373i | ||||
\(40\) | 0.677971 | + | 5.55023i | 0.107197 | + | 0.877568i | ||||
\(41\) | 2.22241 | − | 1.31097i | 0.347083 | − | 0.204739i | −0.324114 | − | 0.946018i | \(-0.605066\pi\) |
0.671197 | + | 0.741279i | \(0.265780\pi\) | |||||||
\(42\) | −18.3995 | − | 7.62133i | −2.83911 | − | 1.17600i | ||||
\(43\) | −2.14199 | + | 6.19773i | −0.326651 | + | 0.945145i | ||||
\(44\) | 7.51607 | + | 5.02208i | 1.13309 | + | 0.757107i | ||||
\(45\) | −25.3969 | − | 6.55121i | −3.78595 | − | 0.976597i | ||||
\(46\) | −11.2710 | + | 6.36754i | −1.66182 | + | 0.938843i | ||||
\(47\) | −0.576655 | + | 5.11796i | −0.0841138 | + | 0.746530i | 0.878887 | + | 0.477031i | \(0.158287\pi\) |
−0.963000 | + | 0.269500i | \(0.913142\pi\) | |||||||
\(48\) | −6.03803 | − | 3.26378i | −0.871514 | − | 0.471086i | ||||
\(49\) | −1.56636 | − | 0.206215i | −0.223766 | − | 0.0294593i | ||||
\(50\) | 10.3036 | + | 17.8463i | 1.45715 | + | 2.52385i | ||||
\(51\) | 2.69695 | − | 12.6771i | 0.377648 | − | 1.77515i | ||||
\(52\) | −14.8890 | − | 2.24416i | −2.06474 | − | 0.311209i | ||||
\(53\) | 0.681573 | + | 0.252895i | 0.0936213 | + | 0.0347378i | 0.394248 | − | 0.919004i | \(-0.371005\pi\) |
−0.300626 | + | 0.953742i | \(0.597196\pi\) | |||||||
\(54\) | −20.1628 | + | 17.0260i | −2.74381 | + | 2.31694i | ||||
\(55\) | 12.6401 | + | 2.39163i | 1.70439 | + | 0.322487i | ||||
\(56\) | 4.18021 | + | 0.995317i | 0.558605 | + | 0.133005i | ||||
\(57\) | −2.78320 | − | 10.0116i | −0.368643 | − | 1.32607i | ||||
\(58\) | −6.13751 | − | 8.82368i | −0.805895 | − | 1.15861i | ||||
\(59\) | 7.97184 | + | 5.65632i | 1.03785 | + | 0.736391i | 0.965345 | − | 0.260978i | \(-0.0840449\pi\) |
0.0725008 | + | 0.997368i | \(0.476902\pi\) | |||||||
\(60\) | 31.9487 | + | 2.99593i | 4.12456 | + | 0.386773i | ||||
\(61\) | 5.33073 | − | 2.14989i | 0.682530 | − | 0.275265i | −0.00652037 | − | 0.999979i | \(-0.502076\pi\) |
0.689050 | + | 0.724714i | \(0.258028\pi\) | |||||||
\(62\) | −4.22813 | + | 1.52401i | −0.536973 | + | 0.193549i | ||||
\(63\) | −11.5098 | + | 16.5472i | −1.45010 | + | 2.08475i | ||||
\(64\) | 11.5097 | + | 4.02741i | 1.43871 | + | 0.503426i | ||||
\(65\) | −20.7491 | + | 5.35229i | −2.57361 | + | 0.663870i | ||||
\(66\) | 16.5272 | − | 15.9204i | 2.03436 | − | 1.95966i | ||||
\(67\) | 1.79958 | + | 11.9394i | 0.219853 | + | 1.45863i | 0.777673 | + | 0.628669i | \(0.216400\pi\) |
−0.557820 | + | 0.829962i | \(0.688362\pi\) | |||||||
\(68\) | −0.559255 | + | 11.0285i | −0.0678196 | + | 1.33741i | ||||
\(69\) | 5.54549 | + | 17.9781i | 0.667599 | + | 2.16430i | ||||
\(70\) | 23.8066 | − | 4.04490i | 2.84543 | − | 0.483458i | ||||
\(71\) | −9.22955 | − | 5.92039i | −1.09535 | − | 0.702621i | −0.137673 | − | 0.990478i | \(-0.543962\pi\) |
−0.957674 | + | 0.287856i | \(0.907057\pi\) | |||||||
\(72\) | 6.58486 | − | 7.65175i | 0.776034 | − | 0.901767i | ||||
\(73\) | 0.729836 | − | 3.06523i | 0.0854208 | − | 0.358758i | −0.913413 | − | 0.407034i | \(-0.866563\pi\) |
0.998834 | + | 0.0482761i | \(0.0153727\pi\) | |||||||
\(74\) | 5.44192 | − | 5.54464i | 0.632610 | − | 0.644552i | ||||
\(75\) | 28.5348 | − | 9.09487i | 3.29492 | − | 1.05018i | ||||
\(76\) | 3.69154 | + | 8.04712i | 0.423449 | + | 0.923068i | ||||
\(77\) | 5.10238 | − | 8.46786i | 0.581470 | − | 0.965002i | ||||
\(78\) | −13.6318 | + | 35.7114i | −1.54349 | + | 4.04352i | ||||
\(79\) | −1.90481 | + | 1.67048i | −0.214308 | + | 0.187943i | −0.759769 | − | 0.650193i | \(-0.774688\pi\) |
0.545461 | + | 0.838136i | \(0.316355\pi\) | |||||||
\(80\) | 8.30446 | − | 0.544303i | 0.928467 | − | 0.0608549i | ||||
\(81\) | 8.27497 | + | 15.6570i | 0.919441 | + | 1.73967i | ||||
\(82\) | 2.56154 | + | 4.95835i | 0.282875 | + | 0.547558i | ||||
\(83\) | −2.58541 | + | 0.850754i | −0.283786 | + | 0.0933824i | −0.450958 | − | 0.892545i | \(-0.648917\pi\) |
0.167172 | + | 0.985928i | \(0.446536\pi\) | |||||||
\(84\) | 10.6998 | − | 22.2183i | 1.16744 | − | 2.42421i | ||||
\(85\) | 5.40910 | + | 14.7549i | 0.586700 | + | 1.60040i | ||||
\(86\) | −13.1244 | − | 5.37733i | −1.41524 | − | 0.579852i | ||||
\(87\) | −14.4319 | + | 5.97788i | −1.54726 | + | 0.640896i | ||||
\(88\) | −2.97734 | + | 3.95620i | −0.317386 | + | 0.421732i | ||||
\(89\) | −9.42875 | + | 8.11410i | −0.999445 | + | 0.860092i | −0.990171 | − | 0.139865i | \(-0.955333\pi\) |
−0.00927481 | + | 0.999957i | \(0.502952\pi\) | |||||||
\(90\) | 17.2275 | − | 54.0508i | 1.81594 | − | 5.69745i | ||||
\(91\) | −1.69072 | + | 16.3807i | −0.177236 | + | 1.71717i | ||||
\(92\) | −7.08969 | − | 14.3765i | −0.739151 | − | 1.49885i | ||||
\(93\) | 0.852584 | + | 6.47601i | 0.0884088 | + | 0.671531i | ||||
\(94\) | −10.9824 | − | 1.86599i | −1.13275 | − | 0.192462i | ||||
\(95\) | 9.31586 | + | 8.48315i | 0.955787 | + | 0.870353i | ||||
\(96\) | 12.6142 | − | 20.4983i | 1.28743 | − | 2.09210i | ||||
\(97\) | 0.810049 | − | 9.60354i | 0.0822480 | − | 0.975091i | −0.827918 | − | 0.560849i | \(-0.810475\pi\) |
0.910166 | − | 0.414243i | \(-0.135954\pi\) | |||||||
\(98\) | 0.635289 | − | 3.35758i | 0.0641739 | − | 0.339167i | ||||
\(99\) | −12.1724 | − | 19.7804i | −1.22337 | − | 1.98801i | ||||
\(100\) | −22.7789 | + | 11.4993i | −2.27789 | + | 1.14993i | ||||
\(101\) | 18.3220 | + | 7.19084i | 1.82310 | + | 0.715515i | 0.985602 | + | 0.169080i | \(0.0540796\pi\) |
0.837501 | + | 0.546436i | \(0.184016\pi\) | |||||||
\(102\) | 27.0495 | + | 7.36156i | 2.67830 | + | 0.728903i | ||||
\(103\) | 12.5054 | − | 3.85741i | 1.23219 | − | 0.380082i | 0.390786 | − | 0.920481i | \(-0.372203\pi\) |
0.841408 | + | 0.540400i | \(0.181727\pi\) | |||||||
\(104\) | 1.68458 | − | 8.07370i | 0.165187 | − | 0.791691i | ||||
\(105\) | 1.64008 | − | 35.0565i | 0.160056 | − | 3.42117i | ||||
\(106\) | −0.628791 | + | 1.44120i | −0.0610736 | + | 0.139982i | ||||
\(107\) | −13.8836 | − | 8.18975i | −1.34218 | − | 0.791733i | −0.352611 | − | 0.935770i | \(-0.614706\pi\) |
−0.989572 | + | 0.144037i | \(0.953992\pi\) | |||||||
\(108\) | −19.6494 | − | 26.1095i | −1.89077 | − | 2.51239i | ||||
\(109\) | 7.17318 | + | 1.56682i | 0.687066 | + | 0.150074i | 0.543301 | − | 0.839538i | \(-0.317174\pi\) |
0.143765 | + | 0.989612i | \(0.454079\pi\) | |||||||
\(110\) | −6.69772 | + | 27.0065i | −0.638603 | + | 2.57497i | ||||
\(111\) | −6.18490 | − | 9.44637i | −0.587045 | − | 0.896610i | ||||
\(112\) | 1.82794 | − | 6.12892i | 0.172724 | − | 0.579128i | ||||
\(113\) | 0.208463 | − | 7.42989i | 0.0196105 | − | 0.698945i | −0.926721 | − | 0.375749i | \(-0.877385\pi\) |
0.946332 | − | 0.323196i | \(-0.104757\pi\) | |||||||
\(114\) | 21.9579 | − | 4.79620i | 2.05655 | − | 0.449206i | ||||
\(115\) | −17.2909 | − | 14.8800i | −1.61238 | − | 1.38757i | ||||
\(116\) | 11.3349 | − | 6.97521i | 1.05242 | − | 0.647632i | ||||
\(117\) | 32.3669 | + | 21.1918i | 2.99232 | + | 1.95919i | ||||
\(118\) | −13.1818 | + | 16.5294i | −1.21348 | + | 1.52166i | ||||
\(119\) | 12.0771 | + | 0.0472997i | 1.10710 | + | 0.00433595i | ||||
\(120\) | −2.61966 | + | 17.3803i | −0.239141 | + | 1.58660i | ||||
\(121\) | 0.226629 | + | 0.319404i | 0.0206027 | + | 0.0290367i | ||||
\(122\) | 3.99625 | + | 11.7726i | 0.361803 | + | 1.06584i | ||||
\(123\) | 7.83460 | − | 2.09927i | 0.706422 | − | 0.189285i | ||||
\(124\) | −1.59058 | − | 5.33307i | −0.142838 | − | 0.478924i | ||||
\(125\) | −11.1333 | + | 13.1844i | −0.995789 | + | 1.17925i | ||||
\(126\) | −34.3383 | − | 26.8625i | −3.05909 | − | 2.39310i | ||||
\(127\) | 8.71682 | − | 7.78983i | 0.773493 | − | 0.691235i | −0.182961 | − | 0.983120i | \(-0.558568\pi\) |
0.956453 | + | 0.291885i | \(0.0942824\pi\) | |||||||
\(128\) | −4.23294 | + | 10.2192i | −0.374142 | + | 0.903260i | ||||
\(129\) | −11.7054 | + | 16.9671i | −1.03060 | + | 1.49387i | ||||
\(130\) | −9.04202 | − | 45.4573i | −0.793038 | − | 3.98687i | ||||
\(131\) | 0.178148 | + | 1.26188i | 0.0155648 | + | 0.110251i | 0.996428 | − | 0.0844481i | \(-0.0269127\pi\) |
−0.980863 | + | 0.194699i | \(0.937627\pi\) | |||||||
\(132\) | 18.5350 | + | 21.5380i | 1.61326 | + | 1.87465i | ||||
\(133\) | 8.60266 | − | 4.44424i | 0.745945 | − | 0.385364i | ||||
\(134\) | −26.0017 | + | 2.43826i | −2.24620 | + | 0.210634i | ||||
\(135\) | −40.2735 | − | 23.2519i | −3.46619 | − | 2.00121i | ||||
\(136\) | −6.01419 | − | 0.644563i | −0.515712 | − | 0.0552708i | ||||
\(137\) | 3.76974 | − | 0.860418i | 0.322070 | − | 0.0735105i | −0.0584292 | − | 0.998292i | \(-0.518609\pi\) |
0.380500 | + | 0.924781i | \(0.375752\pi\) | |||||||
\(138\) | −39.4966 | + | 9.79532i | −3.36217 | + | 0.833833i | ||||
\(139\) | 7.35741 | + | 10.1665i | 0.624047 | + | 0.862314i | 0.997873 | − | 0.0651850i | \(-0.0207637\pi\) |
−0.373826 | + | 0.927499i | \(0.621954\pi\) | |||||||
\(140\) | 3.34785 | + | 29.7130i | 0.282945 | + | 2.51121i | ||||
\(141\) | −6.05549 | + | 15.0148i | −0.509964 | + | 1.26447i | ||||
\(142\) | 13.9046 | − | 19.2134i | 1.16684 | − | 1.61236i | ||||
\(143\) | −16.5210 | − | 9.33355i | −1.38156 | − | 0.780510i | ||||
\(144\) | −10.8213 | − | 10.4240i | −0.901775 | − | 0.868664i | ||||
\(145\) | 10.9604 | − | 15.4472i | 0.910209 | − | 1.28282i | ||||
\(146\) | 6.53092 | + | 1.94784i | 0.540502 | + | 0.161204i | ||||
\(147\) | −4.57028 | − | 1.94333i | −0.376951 | − | 0.160283i | ||||
\(148\) | 6.47705 | + | 7.11283i | 0.532410 | + | 0.584671i | ||||
\(149\) | 19.1156 | + | 8.34007i | 1.56601 | + | 0.683245i | 0.990872 | − | 0.134808i | \(-0.0430416\pi\) |
0.575143 | + | 0.818053i | \(0.304946\pi\) | |||||||
\(150\) | 16.1800 | + | 62.7246i | 1.32109 | + | 5.12144i | ||||
\(151\) | −0.580154 | + | 0.649193i | −0.0472123 | + | 0.0528306i | −0.768780 | − | 0.639513i | \(-0.779136\pi\) |
0.721568 | + | 0.692344i | \(0.243422\pi\) | |||||||
\(152\) | −4.51424 | + | 1.77171i | −0.366153 | + | 0.143704i | ||||
\(153\) | 13.1212 | − | 25.1564i | 1.06078 | − | 2.03377i | ||||
\(154\) | 17.6677 | + | 12.0457i | 1.42371 | + | 0.970667i | ||||
\(155\) | −5.05296 | − | 6.09868i | −0.405863 | − | 0.489858i | ||||
\(156\) | −43.2037 | − | 19.3324i | −3.45907 | − | 1.54783i | ||||
\(157\) | 4.92573 | − | 2.14907i | 0.393116 | − | 0.171515i | −0.194031 | − | 0.980995i | \(-0.562156\pi\) |
0.587146 | + | 0.809481i | \(0.300251\pi\) | |||||||
\(158\) | −3.37643 | − | 4.31608i | −0.268614 | − | 0.343369i | ||||
\(159\) | 1.85130 | + | 1.33977i | 0.146818 | + | 0.106250i | ||||
\(160\) | 0.272861 | + | 29.1822i | 0.0215715 | + | 2.30705i | ||||
\(161\) | −15.3437 | + | 8.48015i | −1.20925 | + | 0.668330i | ||||
\(162\) | −34.8152 | + | 15.9712i | −2.73534 | + | 1.25481i | ||||
\(163\) | 2.66411 | − | 2.92562i | 0.208669 | − | 0.229152i | −0.626113 | − | 0.779732i | \(-0.715355\pi\) |
0.834783 | + | 0.550580i | \(0.185593\pi\) | |||||||
\(164\) | −6.30788 | + | 2.82259i | −0.492562 | + | 0.220407i | ||||
\(165\) | 36.2683 | + | 17.8855i | 2.82348 | + | 1.39239i | ||||
\(166\) | −1.52367 | − | 5.68643i | −0.118260 | − | 0.441353i | ||||
\(167\) | −5.35621 | + | 9.90905i | −0.414476 | + | 0.766785i | −0.999005 | − | 0.0445871i | \(-0.985803\pi\) |
0.584530 | + | 0.811372i | \(0.301279\pi\) | |||||||
\(168\) | 11.8223 | + | 6.53393i | 0.912107 | + | 0.504104i | ||||
\(169\) | 18.5553 | + | 1.39052i | 1.42733 | + | 0.106963i | ||||
\(170\) | −32.5196 | + | 9.89166i | −2.49414 | + | 0.758656i | ||||
\(171\) | − | 22.7477i | − | 1.73956i | ||||||
\(172\) | 7.55924 | − | 15.8524i | 0.576386 | − | 1.20873i | ||||
\(173\) | −10.2465 | − | 2.03815i | −0.779026 | − | 0.154958i | −0.210468 | − | 0.977601i | \(-0.567499\pi\) |
−0.568558 | + | 0.822643i | \(0.692499\pi\) | |||||||
\(174\) | −11.1591 | − | 31.8910i | −0.845971 | − | 2.41765i | ||||
\(175\) | 13.7270 | + | 24.2978i | 1.03767 | + | 1.83674i | ||||
\(176\) | 5.63061 | + | 4.75463i | 0.424423 | + | 0.358393i | ||||
\(177\) | 19.3813 | + | 23.8427i | 1.45679 | + | 1.79212i | ||||
\(178\) | −16.3791 | − | 21.3457i | −1.22767 | − | 1.59992i | ||||
\(179\) | 10.2150 | − | 1.34483i | 0.763505 | − | 0.100517i | 0.261290 | − | 0.965260i | \(-0.415852\pi\) |
0.502215 | + | 0.864743i | \(0.332519\pi\) | |||||||
\(180\) | 65.6272 | + | 25.0512i | 4.89156 | + | 1.86721i | ||||
\(181\) | 0.447720 | + | 9.56995i | 0.0332788 | + | 0.711329i | 0.950084 | + | 0.311994i | \(0.100997\pi\) |
−0.916805 | + | 0.399335i | \(0.869241\pi\) | |||||||
\(182\) | −35.1695 | − | 5.63774i | −2.60694 | − | 0.417897i | ||||
\(183\) | 17.9548 | − | 2.02302i | 1.32726 | − | 0.149546i | ||||
\(184\) | 8.08004 | − | 3.43572i | 0.595668 | − | 0.253285i | ||||
\(185\) | 12.4436 | + | 5.70839i | 0.914872 | + | 0.419689i | ||||
\(186\) | −14.0885 | + | 1.05579i | −1.03302 | + | 0.0774141i | ||||
\(187\) | −5.61485 | + | 12.7331i | −0.410598 | + | 0.931135i | ||||
\(188\) | 3.06943 | − | 13.4481i | 0.223861 | − | 0.980801i | ||||
\(189\) | −27.5199 | + | 22.8011i | −2.00178 | + | 1.65854i | ||||
\(190\) | −19.4494 | + | 19.0890i | −1.41101 | + | 1.38486i | ||||
\(191\) | −13.2838 | − | 9.80388i | −0.961181 | − | 0.709384i | −0.00433850 | − | 0.999991i | \(-0.501381\pi\) |
−0.956843 | + | 0.290607i | \(0.906143\pi\) | |||||||
\(192\) | 31.4675 | + | 21.8879i | 2.27097 | + | 1.57963i | ||||
\(193\) | 7.71744 | − | 5.80797i | 0.555514 | − | 0.418067i | −0.286058 | − | 0.958212i | \(-0.592345\pi\) |
0.841572 | + | 0.540145i | \(0.181631\pi\) | |||||||
\(194\) | 20.6408 | + | 2.91400i | 1.48193 | + | 0.209213i | ||||
\(195\) | −67.3474 | − | 1.25954i | −4.82285 | − | 0.0901976i | ||||
\(196\) | 4.10689 | + | 1.01853i | 0.293349 | + | 0.0727519i | ||||
\(197\) | −4.18071 | − | 10.3662i | −0.297863 | − | 0.738563i | −0.999657 | − | 0.0261825i | \(-0.991665\pi\) |
0.701794 | − | 0.712380i | \(-0.252383\pi\) | |||||||
\(198\) | 44.1925 | − | 23.8877i | 3.14063 | − | 1.69762i | ||||
\(199\) | 4.70746 | − | 1.79693i | 0.333703 | − | 0.127381i | −0.184037 | − | 0.982919i | \(-0.558916\pi\) |
0.517740 | + | 0.855538i | \(0.326774\pi\) | |||||||
\(200\) | −5.58922 | − | 12.8106i | −0.395217 | − | 0.905848i | ||||
\(201\) | −4.60207 | + | 37.6750i | −0.324605 | + | 2.65739i | ||||
\(202\) | −17.7508 | + | 38.6946i | −1.24894 | + | 2.72255i | ||||
\(203\) | −8.19963 | − | 12.0267i | −0.575501 | − | 0.844106i | ||||
\(204\) | −10.9792 | + | 32.9304i | −0.768696 | + | 2.30559i | ||||
\(205\) | −6.68926 | + | 7.20930i | −0.467198 | + | 0.503520i | ||||
\(206\) | 6.81355 | + | 27.4735i | 0.474723 | + | 1.91417i | ||||
\(207\) | 1.15510 | + | 41.1694i | 0.0802851 | + | 2.86147i | ||||
\(208\) | −11.8573 | − | 3.17715i | −0.822155 | − | 0.220296i | ||||
\(209\) | 0.729714 | + | 11.1333i | 0.0504754 | + | 0.770106i | ||||
\(210\) | 75.5065 | + | 7.79333i | 5.21045 | + | 0.537791i | ||||
\(211\) | −0.170954 | − | 2.02674i | −0.0117690 | − | 0.139527i | 0.988132 | − | 0.153608i | \(-0.0490892\pi\) |
−0.999901 | + | 0.0140808i | \(0.995518\pi\) | |||||||
\(212\) | −1.73811 | − | 0.877439i | −0.119374 | − | 0.0602628i | ||||
\(213\) | −22.9681 | − | 25.7013i | −1.57375 | − | 1.76103i | ||||
\(214\) | 19.3697 | − | 28.9888i | 1.32409 | − | 1.98164i | ||||
\(215\) | 1.07212 | − | 24.9706i | 0.0731178 | − | 1.70298i | ||||
\(216\) | 14.8824 | − | 9.94411i | 1.01262 | − | 0.676611i | ||||
\(217\) | −5.74499 | + | 2.01026i | −0.389995 | + | 0.136465i | ||||
\(218\) | −4.25351 | + | 15.3006i | −0.288084 | + | 1.03629i | ||||
\(219\) | 4.79114 | − | 8.66891i | 0.323755 | − | 0.585791i | ||||
\(220\) | −32.9232 | − | 10.1555i | −2.21968 | − | 0.684682i | ||||
\(221\) | −0.559366 | − | 23.1735i | −0.0376270 | − | 1.55882i | ||||
\(222\) | 21.1497 | − | 12.2108i | 1.41948 | − | 0.819536i | ||||
\(223\) | −3.67773 | + | 2.60949i | −0.246279 | + | 0.174744i | −0.695177 | − | 0.718839i | \(-0.744674\pi\) |
0.448898 | + | 0.893583i | \(0.351817\pi\) | |||||||
\(224\) | 21.0988 | + | 7.60497i | 1.40973 | + | 0.508128i | ||||
\(225\) | 65.5160 | − | 2.45144i | 4.36774 | − | 0.163429i | ||||
\(226\) | 16.0197 | + | 1.35125i | 1.06562 | + | 0.0898838i | ||||
\(227\) | 3.29251 | + | 3.23151i | 0.218532 | + | 0.214483i | 0.801472 | − | 0.598032i | \(-0.204050\pi\) |
−0.582941 | + | 0.812515i | \(0.698098\pi\) | |||||||
\(228\) | 4.40505 | + | 27.4797i | 0.291731 | + | 1.81989i | ||||
\(229\) | 10.3445 | + | 3.40396i | 0.683584 | + | 0.224940i | 0.633428 | − | 0.773801i | \(-0.281647\pi\) |
0.0501560 | + | 0.998741i | \(0.484028\pi\) | |||||||
\(230\) | 34.2307 | − | 35.5355i | 2.25711 | − | 2.34314i | ||||
\(231\) | 22.5826 | − | 21.3500i | 1.48583 | − | 1.40472i | ||||
\(232\) | 3.46653 | + | 6.41312i | 0.227589 | + | 0.421042i | ||||
\(233\) | 0.126439 | − | 13.5226i | 0.00828332 | − | 0.885893i | −0.892358 | − | 0.451329i | \(-0.850950\pi\) |
0.900641 | − | 0.434564i | \(-0.143097\pi\) | |||||||
\(234\) | −49.6896 | + | 67.3271i | −3.24831 | + | 4.40131i | ||||
\(235\) | −3.46903 | − | 19.3215i | −0.226294 | − | 1.26040i | ||||
\(236\) | −19.5202 | − | 17.4443i | −1.27066 | − | 1.13553i | ||||
\(237\) | −7.17539 | + | 3.45549i | −0.466092 | + | 0.224458i | ||||
\(238\) | −1.56681 | + | 26.0750i | −0.101561 | + | 1.69019i | ||||
\(239\) | −8.44289 | + | 1.27256i | −0.546125 | + | 0.0823152i | −0.416310 | − | 0.909223i | \(-0.636677\pi\) |
−0.129816 | + | 0.991538i | \(0.541439\pi\) | |||||||
\(240\) | 25.6093 | + | 5.34340i | 1.65307 | + | 0.344915i | ||||
\(241\) | −2.03492 | − | 19.7155i | −0.131081 | − | 1.26999i | −0.831204 | − | 0.555967i | \(-0.812348\pi\) |
0.700124 | − | 0.714022i | \(-0.253128\pi\) | |||||||
\(242\) | −0.717245 | + | 0.450675i | −0.0461063 | + | 0.0289705i | ||||
\(243\) | 4.06848 | + | 18.6263i | 0.260993 | + | 1.19488i | ||||
\(244\) | −14.8319 | + | 4.12322i | −0.949518 | + | 0.263962i | ||||
\(245\) | 5.94577 | − | 0.953119i | 0.379861 | − | 0.0608925i | ||||
\(246\) | 3.58328 | + | 17.1736i | 0.228462 | + | 1.09495i | ||||
\(247\) | −8.98976 | − | 16.2657i | −0.572005 | − | 1.03496i | ||||
\(248\) | 2.96544 | − | 0.706076i | 0.188305 | − | 0.0448359i | ||||
\(249\) | −8.54650 | + | 0.399839i | −0.541612 | + | 0.0253388i | ||||
\(250\) | −27.1219 | − | 25.6415i | −1.71534 | − | 1.62171i | ||||
\(251\) | 5.65300 | − | 21.0973i | 0.356814 | − | 1.33165i | −0.521372 | − | 0.853330i | \(-0.674579\pi\) |
0.878186 | − | 0.478319i | \(-0.158754\pi\) | |||||||
\(252\) | 35.5943 | − | 40.5875i | 2.24223 | − | 2.55677i | ||||
\(253\) | −1.88600 | − | 20.1123i | −0.118572 | − | 1.26445i | ||||
\(254\) | 15.7652 | + | 19.7689i | 0.989195 | + | 1.24041i | ||||
\(255\) | 3.95928 | + | 49.2412i | 0.247940 | + | 3.08360i | ||||
\(256\) | 0.417448 | + | 0.201032i | 0.0260905 | + | 0.0125645i | ||||
\(257\) | 0.841491 | + | 2.03154i | 0.0524908 | + | 0.126724i | 0.947950 | − | 0.318420i | \(-0.103152\pi\) |
−0.895459 | + | 0.445144i | \(0.853152\pi\) | |||||||
\(258\) | −35.2213 | − | 27.3358i | −2.19278 | − | 1.70185i | ||||
\(259\) | 7.43960 | − | 7.43960i | 0.462274 | − | 0.462274i | ||||
\(260\) | 56.8269 | − | 8.02263i | 3.52426 | − | 0.497542i | ||||
\(261\) | −33.9436 | + | 4.14627i | −2.10106 | + | 0.256648i | ||||
\(262\) | −2.74666 | + | 0.231678i | −0.169689 | + | 0.0143131i | ||||
\(263\) | −14.1509 | − | 11.7245i | −0.872584 | − | 0.722964i | 0.0894218 | − | 0.995994i | \(-0.471498\pi\) |
−0.962006 | + | 0.273030i | \(0.911974\pi\) | |||||||
\(264\) | −12.3481 | + | 9.47505i | −0.759974 | + | 0.583149i | ||||
\(265\) | −2.76494 | − | 0.181224i | −0.169849 | − | 0.0111325i | ||||
\(266\) | 8.55414 | + | 19.1166i | 0.524488 | + | 1.17212i | ||||
\(267\) | −35.3877 | + | 16.6360i | −2.16569 | + | 1.01811i | ||||
\(268\) | −1.20915 | − | 32.3153i | −0.0738608 | − | 1.97397i | ||||
\(269\) | −1.67180 | − | 1.97981i | −0.101931 | − | 0.120711i | 0.710684 | − | 0.703511i | \(-0.248386\pi\) |
−0.812615 | + | 0.582800i | \(0.801957\pi\) | |||||||
\(270\) | 55.0973 | − | 84.1518i | 3.35312 | − | 5.12131i | ||||
\(271\) | −8.98334 | − | 9.68173i | −0.545699 | − | 0.588124i | 0.398636 | − | 0.917109i | \(-0.369484\pi\) |
−0.944335 | + | 0.328986i | \(0.893293\pi\) | |||||||
\(272\) | −1.45976 | + | 8.88355i | −0.0885109 | + | 0.538645i | ||||
\(273\) | −18.9122 | + | 48.1874i | −1.14462 | + | 2.91644i | ||||
\(274\) | 1.40091 | + | 8.24519i | 0.0846323 | + | 0.498110i | ||||
\(275\) | −31.9866 | + | 3.30146i | −1.92886 | + | 0.199086i | ||||
\(276\) | −9.36778 | − | 49.5099i | −0.563874 | − | 2.98015i | ||||
\(277\) | −3.72466 | + | 3.39173i | −0.223793 | + | 0.203789i | −0.777431 | − | 0.628969i | \(-0.783477\pi\) |
0.553638 | + | 0.832758i | \(0.313239\pi\) | |||||||
\(278\) | −22.8471 | + | 14.6555i | −1.37028 | + | 0.878981i | ||||
\(279\) | −1.99886 | + | 14.1586i | −0.119669 | + | 0.847654i | ||||
\(280\) | −16.3525 | + | 0.918336i | −0.977248 | + | 0.0548810i | ||||
\(281\) | −0.0342240 | + | 1.82995i | −0.00204163 | + | 0.109166i | 0.997313 | + | 0.0732538i | \(0.0233383\pi\) |
−0.999355 | + | 0.0359119i | \(0.988566\pi\) | |||||||
\(282\) | −31.6904 | − | 14.8979i | −1.88714 | − | 0.887158i | ||||
\(283\) | 0.239033 | − | 0.562153i | 0.0142091 | − | 0.0334165i | −0.913005 | − | 0.407949i | \(-0.866244\pi\) |
0.927214 | + | 0.374532i | \(0.122197\pi\) | |||||||
\(284\) | 22.7883 | + | 18.5243i | 1.35224 | + | 1.09921i | ||||
\(285\) | 21.0718 | + | 33.5356i | 1.24819 | + | 1.98648i | ||||
\(286\) | 22.1596 | − | 34.5456i | 1.31033 | − | 2.04272i | ||||
\(287\) | 3.40603 | + | 6.74698i | 0.201052 | + | 0.398262i | ||||
\(288\) | 38.6235 | − | 35.8374i | 2.27591 | − | 2.11174i | ||||
\(289\) | −16.8714 | + | 2.08686i | −0.992437 | + | 0.122756i | ||||
\(290\) | 32.0293 | + | 25.5426i | 1.88083 | + | 1.49991i | ||||
\(291\) | 10.5390 | − | 28.4034i | 0.617804 | − | 1.66504i | ||||
\(292\) | −2.86156 | + | 7.93897i | −0.167460 | + | 0.464593i | ||||
\(293\) | 10.6154 | + | 6.67008i | 0.620157 | + | 0.389670i | 0.805151 | − | 0.593069i | \(-0.202084\pi\) |
−0.184995 | + | 0.982740i | \(0.559227\pi\) | |||||||
\(294\) | 4.75094 | − | 9.63396i | 0.277081 | − | 0.561864i | ||||
\(295\) | −35.2789 | − | 11.9756i | −2.05402 | − | 0.697244i | ||||
\(296\) | −4.08884 | + | 3.32376i | −0.237659 | + | 0.193189i | ||||
\(297\) | −11.4001 | − | 39.5707i | −0.661502 | − | 2.29613i | ||||
\(298\) | −20.3289 | + | 40.2692i | −1.17762 | + | 2.33273i | ||||
\(299\) | 17.0959 | + | 28.9817i | 0.988681 | + | 1.67606i | ||||
\(300\) | −78.6702 | + | 15.6485i | −4.54202 | + | 0.903465i | ||||
\(301\) | −17.7048 | − | 7.44811i | −1.02049 | − | 0.429302i | ||||
\(302\) | −1.33159 | − | 1.33159i | −0.0766243 | − | 0.0766243i | ||||
\(303\) | 49.4359 | + | 37.2043i | 2.84002 | + | 2.13733i | ||||
\(304\) | 2.25610 | + | 6.85621i | 0.129396 | + | 0.393231i | ||||
\(305\) | −17.1285 | + | 13.6595i | −0.980775 | + | 0.782142i | ||||
\(306\) | 52.7345 | + | 31.3863i | 3.01463 | + | 1.79424i | ||||
\(307\) | −5.10917 | + | 8.84934i | −0.291596 | + | 0.505059i | −0.974187 | − | 0.225741i | \(-0.927520\pi\) |
0.682591 | + | 0.730800i | \(0.260853\pi\) | |||||||
\(308\) | −16.1188 | + | 21.0064i | −0.918452 | + | 1.19695i | ||||
\(309\) | 41.1218 | − | 1.15377i | 2.33934 | − | 0.0656355i | ||||
\(310\) | 13.7831 | − | 10.1724i | 0.782825 | − | 0.577751i | ||||
\(311\) | 1.30143 | − | 8.11864i | 0.0737976 | − | 0.460366i | −0.923290 | − | 0.384103i | \(-0.874511\pi\) |
0.997088 | − | 0.0762629i | \(-0.0242988\pi\) | |||||||
\(312\) | 11.8995 | − | 23.0338i | 0.673679 | − | 1.30403i | ||||
\(313\) | −17.2665 | + | 0.161446i | −0.975960 | + | 0.00912547i | −0.496141 | − | 0.868242i | \(-0.665250\pi\) |
−0.479819 | + | 0.877367i | \(0.659298\pi\) | |||||||
\(314\) | 4.04360 | + | 10.8979i | 0.228193 | + | 0.615001i | ||||
\(315\) | 24.0138 | − | 72.9769i | 1.35302 | − | 4.11178i | ||||
\(316\) | 5.57042 | − | 3.87463i | 0.313360 | − | 0.217965i | ||||
\(317\) | 16.7883 | + | 0.471034i | 0.942925 | + | 0.0264559i | 0.496193 | − | 0.868212i | \(-0.334731\pi\) |
0.446732 | + | 0.894668i | \(0.352588\pi\) | |||||||
\(318\) | −3.11778 | + | 3.83545i | −0.174836 | + | 0.215081i | ||||
\(319\) | 16.4799 | − | 3.11816i | 0.922695 | − | 0.174583i | ||||
\(320\) | −46.4263 | − | 2.17201i | −2.59531 | − | 0.121419i | ||||
\(321\) | −35.1529 | − | 36.4929i | −1.96204 | − | 2.03683i | ||||
\(322\) | −16.4523 | − | 34.1635i | −0.916849 | − | 1.90386i | ||||
\(323\) | −11.2195 | + | 7.73895i | −0.624269 | + | 0.430607i | ||||
\(324\) | −17.3280 | − | 44.1511i | −0.962669 | − | 2.45284i | ||||
\(325\) | 45.8785 | − | 27.6445i | 2.54488 | − | 1.53344i | ||||
\(326\) | 5.99485 | + | 6.10802i | 0.332024 | + | 0.338292i | ||||
\(327\) | 20.4056 | + | 10.7847i | 1.12843 | + | 0.596394i | ||||
\(328\) | −1.34991 | − | 3.53638i | −0.0745362 | − | 0.195264i | ||||
\(329\) | −14.8487 | − | 2.66596i | −0.818633 | − | 0.146979i | ||||
\(330\) | −43.0227 | + | 76.1532i | −2.36832 | + | 4.19209i | ||||
\(331\) | −31.0661 | + | 11.5269i | −1.70754 | + | 0.633577i | −0.997506 | − | 0.0705855i | \(-0.977513\pi\) |
−0.710039 | + | 0.704162i | \(0.751323\pi\) | |||||||
\(332\) | 7.13595 | − | 1.48892i | 0.391636 | − | 0.0817152i | ||||
\(333\) | −7.50604 | − | 23.5499i | −0.411329 | − | 1.29053i | ||||
\(334\) | −20.7492 | − | 12.7686i | −1.13535 | − | 0.698666i | ||||
\(335\) | −19.5792 | − | 41.6483i | −1.06973 | − | 2.27549i | ||||
\(336\) | 10.6963 | − | 17.0231i | 0.583533 | − | 0.928687i | ||||
\(337\) | 10.1142 | − | 3.43330i | 0.550954 | − | 0.187024i | −0.0320599 | − | 0.999486i | \(-0.510207\pi\) |
0.583014 | + | 0.812462i | \(0.301873\pi\) | |||||||
\(338\) | −5.25318 | + | 39.9019i | −0.285736 | + | 2.17038i | ||||
\(339\) | 6.88689 | − | 22.3268i | 0.374045 | − | 1.21262i | ||||
\(340\) | −9.97130 | − | 40.8910i | −0.540770 | − | 2.21762i | ||||
\(341\) | 0.524106 | − | 6.99371i | 0.0283819 | − | 0.378731i | ||||
\(342\) | 49.1241 | + | 2.75875i | 2.65633 | + | 0.149176i | ||||
\(343\) | −3.09732 | + | 15.5713i | −0.167239 | + | 0.840769i | ||||
\(344\) | 8.43730 | + | 4.62091i | 0.454908 | + | 0.249143i | ||||
\(345\) | −39.8394 | − | 59.6238i | −2.14488 | − | 3.21004i | ||||
\(346\) | 5.64410 | − | 21.8804i | 0.303428 | − | 1.17630i | ||||
\(347\) | 11.7562 | − | 15.0279i | 0.631104 | − | 0.806739i | −0.360946 | − | 0.932587i | \(-0.617546\pi\) |
0.992050 | + | 0.125848i | \(0.0401650\pi\) | |||||||
\(348\) | 40.2017 | − | 11.5819i | 2.15504 | − | 0.620856i | ||||
\(349\) | 19.1628 | − | 23.1287i | 1.02576 | − | 1.23805i | 0.0548812 | − | 0.998493i | \(-0.482522\pi\) |
0.970883 | − | 0.239556i | \(-0.0770018\pi\) | |||||||
\(350\) | −54.1364 | + | 26.6971i | −2.89371 | + | 1.42702i | ||||
\(351\) | 45.2274 | + | 51.5720i | 2.41406 | + | 2.75271i | ||||
\(352\) | −17.7537 | + | 18.7787i | −0.946278 | + | 1.00091i | ||||
\(353\) | −12.5378 | − | 16.9881i | −0.667321 | − | 0.904188i | 0.331914 | − | 0.943310i | \(-0.392306\pi\) |
−0.999234 | + | 0.0391222i | \(0.987544\pi\) | |||||||
\(354\) | −53.8393 | + | 38.9629i | −2.86153 | + | 2.07086i | ||||
\(355\) | 40.1603 | + | 11.5700i | 2.13149 | + | 0.614071i | ||||
\(356\) | 27.5269 | − | 18.7676i | 1.45893 | − | 0.994678i | ||||
\(357\) | 36.5370 | + | 10.3115i | 1.93374 | + | 0.545740i | ||||
\(358\) | 1.66536 | + | 22.2226i | 0.0880168 | + | 1.17450i | ||||
\(359\) | 0.261055 | + | 13.9585i | 0.0137779 | + | 0.736704i | 0.936387 | + | 0.350968i | \(0.114147\pi\) |
−0.922609 | + | 0.385735i | \(0.873948\pi\) | |||||||
\(360\) | −15.7157 | + | 35.1212i | −0.828293 | + | 1.85105i | ||||
\(361\) | 3.77201 | − | 7.13698i | 0.198527 | − | 0.375631i | ||||
\(362\) | −20.7208 | − | 0.193745i | −1.08906 | − | 0.0101830i | ||||
\(363\) | 0.417453 | + | 1.15816i | 0.0219106 | + | 0.0607877i | ||||
\(364\) | 9.41177 | − | 43.0888i | 0.493311 | − | 2.25847i | ||||
\(365\) | 0.673388 | + | 11.9908i | 0.0352467 | + | 0.627626i | ||||
\(366\) | 2.19127 | + | 39.0192i | 0.114540 | + | 2.03957i | ||||
\(367\) | 5.80566 | − | 26.5794i | 0.303053 | − | 1.38743i | −0.536383 | − | 0.843975i | \(-0.680210\pi\) |
0.839436 | − | 0.543459i | \(-0.182885\pi\) | |||||||
\(368\) | −4.43131 | − | 12.2940i | −0.230998 | − | 0.640870i | ||||
\(369\) | 17.7550 | + | 0.166014i | 0.924288 | + | 0.00864233i | ||||
\(370\) | −13.8365 | + | 26.1800i | −0.719327 | + | 1.36103i | ||||
\(371\) | −0.869751 | + | 1.94370i | −0.0451552 | + | 0.100912i | ||||
\(372\) | −0.327119 | − | 17.4910i | −0.0169603 | − | 0.906866i | ||||
\(373\) | 1.89322 | + | 25.2632i | 0.0980270 | + | 1.30808i | 0.801774 | + | 0.597628i | \(0.203890\pi\) |
−0.703747 | + | 0.710451i | \(0.748491\pi\) | |||||||
\(374\) | −26.8164 | − | 13.6696i | −1.38665 | − | 0.706839i | ||||
\(375\) | −44.8189 | + | 30.5570i | −2.31444 | + | 1.57796i | ||||
\(376\) | 7.26029 | + | 2.09165i | 0.374421 | + | 0.107869i | ||||
\(377\) | −22.6328 | + | 16.3791i | −1.16565 | + | 0.843568i | ||||
\(378\) | −45.9020 | − | 62.1951i | −2.36095 | − | 3.19897i | ||||
\(379\) | −17.3513 | + | 18.3530i | −0.891275 | + | 0.942732i | −0.998674 | − | 0.0514842i | \(-0.983605\pi\) |
0.107399 | + | 0.994216i | \(0.465748\pi\) | |||||||
\(380\) | −22.2495 | − | 25.3707i | −1.14138 | − | 1.30149i | ||||
\(381\) | 32.9585 | − | 16.2533i | 1.68851 | − | 0.832683i | ||||
\(382\) | 22.7827 | − | 27.4977i | 1.16567 | − | 1.40690i | ||||
\(383\) | −10.3101 | + | 2.97029i | −0.526823 | + | 0.151775i | −0.529642 | − | 0.848221i | \(-0.677674\pi\) |
0.00281983 | + | 0.999996i | \(0.499102\pi\) | |||||||
\(384\) | −21.4239 | + | 27.3862i | −1.09329 | + | 1.39755i | ||||
\(385\) | −9.41195 | + | 36.4871i | −0.479677 | + | 1.85956i | ||||
\(386\) | 11.6065 | + | 17.3704i | 0.590756 | + | 0.884129i | ||||
\(387\) | −34.6364 | + | 28.9225i | −1.76067 | + | 1.47021i | ||||
\(388\) | −5.03568 | + | 25.3160i | −0.255648 | + | 1.28523i | ||||
\(389\) | −7.07523 | − | 0.397336i | −0.358728 | − | 0.0201457i | −0.124206 | − | 0.992256i | \(-0.539638\pi\) |
−0.234522 | + | 0.972111i | \(0.575353\pi\) | |||||||
\(390\) | 10.8877 | − | 145.286i | 0.551318 | − | 7.35682i | ||||
\(391\) | 19.9124 | − | 14.5759i | 1.00701 | − | 0.737135i | ||||
\(392\) | −0.683152 | + | 2.21472i | −0.0345044 | + | 0.111860i | ||||
\(393\) | −0.522889 | + | 3.97174i | −0.0263763 | + | 0.200348i | ||||
\(394\) | 22.8931 | − | 7.77117i | 1.15334 | − | 0.391506i | ||||
\(395\) | 5.13759 | − | 8.17643i | 0.258500 | − | 0.411401i | ||||
\(396\) | 26.4642 | + | 56.2940i | 1.32988 | + | 2.82888i | ||||
\(397\) | −19.3900 | − | 11.9321i | −0.973154 | − | 0.598855i | −0.0564426 | − | 0.998406i | \(-0.517976\pi\) |
−0.916711 | + | 0.399550i | \(0.869166\pi\) | |||||||
\(398\) | 3.30961 | + | 10.3838i | 0.165896 | + | 0.520493i | ||||
\(399\) | 29.7959 | − | 6.21694i | 1.49166 | − | 0.311236i | ||||
\(400\) | −19.5036 | + | 7.23672i | −0.975180 | + | 0.361836i | ||||
\(401\) | −11.0289 | + | 19.5219i | −0.550757 | + | 0.974877i | 0.446049 | + | 0.895009i | \(0.352831\pi\) |
−0.996805 | + | 0.0798679i | \(0.974550\pi\) | |||||||
\(402\) | −80.8020 | − | 14.5074i | −4.03004 | − | 0.723562i | ||||
\(403\) | 4.16612 | + | 10.9141i | 0.207529 | + | 0.543669i | ||||
\(404\) | −46.6060 | − | 24.6320i | −2.31873 | − | 1.22549i | ||||
\(405\) | −47.2803 | − | 48.1728i | −2.34938 | − | 2.39373i | ||||
\(406\) | 26.9663 | − | 16.2488i | 1.33831 | − | 0.806412i | ||||
\(407\) | 4.42910 | + | 11.2852i | 0.219542 | + | 0.559385i | ||||
\(408\) | −17.6720 | − | 7.01573i | −0.874893 | − | 0.347331i | ||||
\(409\) | −16.2786 | − | 33.8029i | −0.804926 | − | 1.67145i | −0.739082 | − | 0.673616i | \(-0.764740\pi\) |
−0.0658443 | − | 0.997830i | \(-0.520974\pi\) | |||||||
\(410\) | −14.7574 | − | 15.3199i | −0.728817 | − | 0.756597i | ||||
\(411\) | 12.1415 | + | 0.568028i | 0.598896 | + | 0.0280188i | ||||
\(412\) | −34.4387 | + | 6.51616i | −1.69668 | + | 0.321028i | ||||
\(413\) | −18.0599 | + | 22.2171i | −0.888670 | + | 1.09323i | ||||
\(414\) | −89.0464 | − | 2.49840i | −4.37639 | − | 0.122790i | ||||
\(415\) | 8.51643 | − | 5.92380i | 0.418055 | − | 0.290788i | ||||
\(416\) | 13.4551 | − | 40.8894i | 0.659688 | − | 2.00477i | ||||
\(417\) | 13.7231 | + | 36.9850i | 0.672024 | + | 1.81116i | ||||
\(418\) | −24.1311 | + | 0.225632i | −1.18029 | + | 0.0110360i | ||||
\(419\) | 8.68952 | − | 16.8202i | 0.424511 | − | 0.821721i | −0.575481 | − | 0.817815i | \(-0.695185\pi\) |
0.999992 | − | 0.00390589i | \(-0.00124329\pi\) | |||||||
\(420\) | −14.8773 | + | 92.8080i | −0.725938 | + | 4.52857i | ||||
\(421\) | −5.85879 | + | 4.32398i | −0.285540 | + | 0.210738i | −0.727167 | − | 0.686461i | \(-0.759163\pi\) |
0.441627 | + | 0.897199i | \(0.354401\pi\) | |||||||
\(422\) | 4.39754 | − | 0.123383i | 0.214069 | − | 0.00600619i | ||||
\(423\) | −21.5754 | + | 28.1176i | −1.04903 | + | 1.36712i | ||||
\(424\) | 0.533242 | − | 0.923601i | 0.0258965 | − | 0.0448541i | ||||
\(425\) | −23.4982 | − | 31.4795i | −1.13983 | − | 1.52698i | ||||
\(426\) | 58.2882 | − | 46.4833i | 2.82407 | − | 2.25212i | ||||
\(427\) | 5.26262 | + | 15.9929i | 0.254676 | + | 0.773951i | ||||
\(428\) | 34.4942 | + | 25.9596i | 1.66734 | + | 1.25480i | ||||
\(429\) | −42.1775 | − | 42.1775i | −2.03635 | − | 2.03635i | ||||
\(430\) | 53.7946 | + | 5.34360i | 2.59420 | + | 0.257691i | ||||
\(431\) | 19.2399 | − | 3.82706i | 0.926755 | − | 0.184343i | 0.291434 | − | 0.956591i | \(-0.405868\pi\) |
0.635321 | + | 0.772248i | \(0.280868\pi\) | |||||||
\(432\) | −13.5354 | − | 22.9458i | −0.651222 | − | 1.10398i | ||||
\(433\) | −5.47623 | + | 10.8478i | −0.263171 | + | 0.521313i | −0.985382 | − | 0.170360i | \(-0.945507\pi\) |
0.722211 | + | 0.691673i | \(0.243126\pi\) | |||||||
\(434\) | −3.64447 | − | 12.6502i | −0.174940 | − | 0.607231i | ||||
\(435\) | 46.2004 | − | 37.5556i | 2.21514 | − | 1.80065i | ||||
\(436\) | −18.6209 | − | 6.32095i | −0.891781 | − | 0.302719i | ||||
\(437\) | 8.75059 | − | 17.7444i | 0.418597 | − | 0.848831i | ||||
\(438\) | 18.1397 | + | 11.3979i | 0.866747 | + | 0.544613i | ||||
\(439\) | −1.38565 | + | 3.84429i | −0.0661336 | + | 0.183478i | −0.969337 | − | 0.245735i | \(-0.920971\pi\) |
0.903203 | + | 0.429213i | \(0.141209\pi\) | |||||||
\(440\) | 6.56505 | − | 17.6934i | 0.312976 | − | 0.843499i | ||||
\(441\) | −8.49986 | − | 6.77841i | −0.404755 | − | 0.322782i | ||||
\(442\) | 50.1116 | + | 1.60243i | 2.38356 | + | 0.0762199i | ||||
\(443\) | 26.4276 | − | 24.5212i | 1.25561 | − | 1.16504i | 0.276658 | − | 0.960968i | \(-0.410773\pi\) |
0.978956 | − | 0.204071i | \(-0.0654174\pi\) | |||||||
\(444\) | 13.6279 | + | 26.9953i | 0.646751 | + | 1.28114i | ||||
\(445\) | 25.5994 | − | 39.9080i | 1.21353 | − | 1.89182i | ||||
\(446\) | −5.18923 | − | 8.25862i | −0.245717 | − | 0.391057i | ||||
\(447\) | 50.8721 | + | 41.3531i | 2.40617 | + | 1.95594i | ||||
\(448\) | −13.9766 | + | 32.8697i | −0.660330 | + | 1.55295i | ||||
\(449\) | 24.5672 | + | 11.5492i | 1.15940 | + | 0.545042i | 0.906398 | − | 0.422424i | \(-0.138821\pi\) |
0.253000 | + | 0.967466i | \(0.418583\pi\) | |||||||
\(450\) | −2.65160 | + | 141.781i | −0.124998 | + | 6.68361i | ||||
\(451\) | −8.69508 | + | 0.488305i | −0.409435 | + | 0.0229934i | ||||
\(452\) | −2.78280 | + | 19.7115i | −0.130892 | + | 0.927150i | ||||
\(453\) | −2.30365 | + | 1.47770i | −0.108235 | + | 0.0694284i | ||||
\(454\) | −7.37783 | + | 6.71835i | −0.346259 | + | 0.315308i | ||||
\(455\) | −11.6690 | − | 61.6724i | −0.547053 | − | 2.89125i | ||||
\(456\) | −15.1636 | + | 1.56509i | −0.710099 | + | 0.0732921i | ||||
\(457\) | −2.25065 | − | 13.2464i | −0.105281 | − | 0.619641i | −0.988564 | − | 0.150800i | \(-0.951815\pi\) |
0.883283 | − | 0.468840i | \(-0.155328\pi\) | |||||||
\(458\) | −8.60547 | + | 21.9264i | −0.402107 | + | 1.02455i | ||||
\(459\) | 34.3609 | − | 36.7426i | 1.60383 | − | 1.71500i | ||||
\(460\) | 41.5561 | + | 44.7869i | 1.93756 | + | 2.08820i | ||||
\(461\) | 1.63406 | − | 2.49575i | 0.0761059 | − | 0.116239i | −0.796554 | − | 0.604568i | \(-0.793346\pi\) |
0.872660 | + | 0.488329i | \(0.162393\pi\) | |||||||
\(462\) | 43.3670 | + | 51.3569i | 2.01762 | + | 2.38934i | ||||
\(463\) | −1.43115 | − | 38.2482i | −0.0665111 | − | 1.77755i | −0.490075 | − | 0.871680i | \(-0.663031\pi\) |
0.423564 | − | 0.905866i | \(-0.360779\pi\) | |||||||
\(464\) | 9.81948 | − | 4.61621i | 0.455858 | − | 0.214302i | ||||
\(465\) | −10.1687 | − | 22.7249i | −0.471563 | − | 1.05384i | ||||
\(466\) | 29.1870 | + | 1.91301i | 1.35206 | + | 0.0886187i | ||||
\(467\) | 17.7625 | − | 13.6296i | 0.821949 | − | 0.630704i | −0.109740 | − | 0.993960i | \(-0.535002\pi\) |
0.931689 | + | 0.363257i | \(0.118335\pi\) | |||||||
\(468\) | −79.7869 | − | 66.1060i | −3.68815 | − | 3.05575i | ||||
\(469\) | −35.2421 | + | 2.97264i | −1.62733 | + | 0.137264i | ||||
\(470\) | 42.1460 | − | 5.14821i | 1.94405 | − | 0.237469i | ||||
\(471\) | 16.7275 | − | 2.36153i | 0.770764 | − | 0.108814i | ||||
\(472\) | 10.1396 | − | 10.1396i | 0.466712 | − | 0.466712i | ||||
\(473\) | 16.0242 | − | 15.2665i | 0.736792 | − | 0.701955i | ||||
\(474\) | −6.59200 | − | 15.9145i | −0.302781 | − | 0.730977i | ||||
\(475\) | −28.3757 | − | 13.6650i | −1.30197 | − | 0.626995i | ||||
\(476\) | −32.1279 | − | 3.74742i | −1.47258 | − | 0.171763i | ||||
\(477\) | 3.11908 | + | 3.91120i | 0.142813 | + | 0.179082i | ||||
\(478\) | −1.72420 | − | 18.3870i | −0.0788633 | − | 0.841000i | ||||
\(479\) | −4.57458 | + | 5.21631i | −0.209018 | + | 0.238339i | −0.846844 | − | 0.531841i | \(-0.821500\pi\) |
0.637826 | + | 0.770180i | \(0.279834\pi\) | |||||||
\(480\) | −23.7433 | + | 88.6113i | −1.08373 | + | 4.04453i | ||||
\(481\) | −14.6740 | − | 13.8731i | −0.669078 | − | 0.632557i | ||||
\(482\) | 42.8229 | − | 2.00343i | 1.95053 | − | 0.0912536i | ||||
\(483\) | −53.6099 | + | 12.7646i | −2.43934 | + | 0.580810i | ||||
\(484\) | −0.507374 | − | 0.918024i | −0.0230625 | − | 0.0417284i | ||||
\(485\) | 7.50294 | + | 35.9593i | 0.340691 | + | 1.63283i | ||||
\(486\) | −40.7173 | + | 6.52706i | −1.84697 | + | 0.296073i | ||||
\(487\) | −6.06026 | + | 1.68473i | −0.274616 | + | 0.0763423i | −0.402413 | − | 0.915458i | \(-0.631829\pi\) |
0.127797 | + | 0.991800i | \(0.459209\pi\) | |||||||
\(488\) | −1.79941 | − | 8.23803i | −0.0814554 | − | 0.372918i | ||||
\(489\) | 10.5318 | − | 6.61755i | 0.476263 | − | 0.299256i | ||||
\(490\) | 1.33720 | + | 12.9556i | 0.0604086 | + | 0.585276i | ||||
\(491\) | 9.85357 | + | 2.05595i | 0.444685 | + | 0.0927839i | 0.421256 | − | 0.906942i | \(-0.361589\pi\) |
0.0234289 | + | 0.999726i | \(0.492542\pi\) | |||||||
\(492\) | −21.4806 | + | 3.23768i | −0.968420 | + | 0.145966i | ||||
\(493\) | 13.5929 | + | 15.3309i | 0.612194 | + | 0.690469i | ||||
\(494\) | 36.2165 | − | 17.4409i | 1.62946 | − | 0.784705i | ||||
\(495\) | 66.0075 | + | 58.9879i | 2.96682 | + | 2.65131i | ||||
\(496\) | −0.801781 | − | 4.46569i | −0.0360010 | − | 0.200516i | ||||
\(497\) | 19.0727 | − | 25.8426i | 0.855528 | − | 1.15920i | ||||
\(498\) | 0.173025 | − | 18.5049i | 0.00775344 | − | 0.829222i | ||||
\(499\) | 18.3789 | + | 34.0011i | 0.822751 | + | 1.52210i | 0.852611 | + | 0.522546i | \(0.175018\pi\) |
−0.0298601 | + | 0.999554i | \(0.509506\pi\) | |||||||
\(500\) | 33.5838 | − | 31.7507i | 1.50191 | − | 1.41993i | ||||
\(501\) | −24.5647 | + | 25.5011i | −1.09747 | + | 1.13930i | ||||
\(502\) | 44.8745 | + | 14.7664i | 2.00285 | + | 0.659056i | ||||
\(503\) | 3.43992 | + | 21.4590i | 0.153379 | + | 0.956810i | 0.940446 | + | 0.339943i | \(0.110408\pi\) |
−0.787067 | + | 0.616867i | \(0.788402\pi\) | |||||||
\(504\) | 21.1036 | + | 20.7126i | 0.940028 | + | 0.922612i | ||||
\(505\) | −74.7543 | − | 6.30545i | −3.32652 | − | 0.280589i | ||||
\(506\) | 43.6617 | − | 1.63371i | 1.94100 | − | 0.0726271i | ||||
\(507\) | 55.0260 | + | 19.8338i | 2.44379 | + | 0.880851i | ||||
\(508\) | −25.5350 | + | 18.1180i | −1.13293 | + | 0.803857i | ||||
\(509\) | 18.5439 | − | 10.7063i | 0.821942 | − | 0.474548i | −0.0291437 | − | 0.999575i | \(-0.509278\pi\) |
0.851086 | + | 0.525027i | \(0.175945\pi\) | |||||||
\(510\) | −106.818 | + | 2.57838i | −4.72996 | + | 0.114173i | ||||
\(511\) | 8.81944 | + | 2.72044i | 0.390149 | + | 0.120345i | ||||
\(512\) | −11.1858 | + | 20.2392i | −0.494346 | + | 0.894453i | ||||
\(513\) | 10.8026 | − | 38.8590i | 0.476948 | − | 1.71567i | ||||
\(514\) | −4.48921 | + | 1.57084i | −0.198011 | + | 0.0692869i | ||||
\(515\) | −41.4739 | + | 27.7120i | −1.82756 | + | 1.22114i | ||||
\(516\) | 36.2408 | − | 41.6463i | 1.59541 | − | 1.83338i | ||||
\(517\) | 9.65757 | − | 14.4536i | 0.424739 | − | 0.635668i | ||||
\(518\) | 15.1637 | + | 16.9682i | 0.666257 | + | 0.745542i | ||||
\(519\) | −29.3167 | − | 14.7997i | −1.28686 | − | 0.649636i | ||||
\(520\) | 2.64217 | + | 31.3243i | 0.115867 | + | 1.37366i | ||||
\(521\) | 2.01572 | + | 0.208051i | 0.0883104 | + | 0.00911486i | 0.146723 | − | 0.989178i | \(-0.453128\pi\) |
−0.0584121 | + | 0.998293i | \(0.518604\pi\) | |||||||
\(522\) | −4.83743 | − | 73.8049i | −0.211728 | − | 3.23035i | ||||
\(523\) | 7.85328 | + | 2.10428i | 0.343400 | + | 0.0920137i | 0.426397 | − | 0.904536i | \(-0.359783\pi\) |
−0.0829972 | + | 0.996550i | \(0.526449\pi\) | |||||||
\(524\) | −0.0957259 | − | 3.41180i | −0.00418181 | − | 0.149045i | ||||
\(525\) | 21.1166 | + | 85.1460i | 0.921602 | + | 3.71608i | ||||
\(526\) | 27.0355 | − | 29.1374i | 1.17880 | − | 1.27045i | ||||
\(527\) | 7.66327 | − | 3.83101i | 0.333817 | − | 0.166881i | ||||
\(528\) | 13.0498 | + | 19.1406i | 0.567921 | + | 0.832987i | ||||
\(529\) | −5.34594 | + | 11.6535i | −0.232432 | + | 0.506674i | ||||
\(530\) | 0.726678 | − | 5.94897i | 0.0315649 | − | 0.258407i | ||||
\(531\) | 26.8980 | + | 61.6510i | 1.16728 | + | 2.67542i | ||||
\(532\) | −24.2279 | + | 9.24827i | −1.05041 | + | 0.400964i | ||||
\(533\) | 12.7613 | − | 6.89797i | 0.552755 | − | 0.298784i | ||||
\(534\) | −31.6342 | − | 78.4380i | −1.36894 | − | 3.39435i | ||||
\(535\) | 59.6315 | + | 14.7889i | 2.57810 | + | 0.639379i | ||||
\(536\) | 17.7099 | + | 0.331214i | 0.764953 | + | 0.0143063i | ||||
\(537\) | 32.0696 | + | 4.52747i | 1.38390 | + | 0.195375i | ||||
\(538\) | 4.47819 | − | 3.37018i | 0.193068 | − | 0.145299i | ||||
\(539\) | 4.37749 | + | 3.04487i | 0.188552 | + | 0.131152i | ||||
\(540\) | 100.212 | + | 73.9598i | 4.31243 | + | 3.18272i | ||||
\(541\) | 21.7202 | − | 21.3178i | 0.933824 | − | 0.916523i | −0.0628494 | − | 0.998023i | \(-0.520019\pi\) |
0.996673 | + | 0.0815003i | \(0.0259712\pi\) | |||||||
\(542\) | 21.9974 | − | 18.2256i | 0.944869 | − | 0.782855i | ||||
\(543\) | −6.70138 | + | 29.3607i | −0.287584 | + | 1.25999i | ||||
\(544\) | −30.8156 | − | 6.85752i | −1.32121 | − | 0.294014i | ||||
\(545\) | −27.9068 | + | 2.09133i | −1.19540 | + | 0.0895826i | ||||
\(546\) | −101.768 | − | 46.6853i | −4.35528 | − | 1.99795i | ||||
\(547\) | −23.7917 | + | 10.1165i | −1.01726 | + | 0.432550i | −0.834736 | − | 0.550651i | \(-0.814379\pi\) |
−0.182525 | + | 0.983201i | \(0.558427\pi\) | |||||||
\(548\) | −10.2908 | + | 1.15950i | −0.439603 | + | 0.0495313i | ||||
\(549\) | 39.0551 | + | 6.26060i | 1.66683 | + | 0.267196i | ||||
\(550\) | −3.25037 | − | 69.4762i | −0.138596 | − | 2.96248i | ||||
\(551\) | 15.3470 | + | 5.85824i | 0.653803 | + | 0.249570i | ||||
\(552\) | 27.3640 | − | 3.60254i | 1.16469 | − | 0.153334i | ||||
\(553\) | −4.51767 | − | 5.88755i | −0.192111 | − | 0.250364i | ||||
\(554\) | −6.87280 | − | 8.45483i | −0.291997 | − | 0.359211i | ||||
\(555\) | 32.8808 | + | 27.7653i | 1.39571 | + | 1.17857i | ||||
\(556\) | −16.5325 | − | 29.2636i | −0.701133 | − | 1.24105i | ||||
\(557\) | −4.46797 | − | 12.7687i | −0.189314 | − | 0.541028i | 0.809632 | − | 0.586938i | \(-0.199667\pi\) |
−0.998946 | + | 0.0459104i | \(0.985381\pi\) | |||||||
\(558\) | −30.3334 | − | 6.03370i | −1.28412 | − | 0.255427i | ||||
\(559\) | −13.3368 | + | 34.3692i | −0.564087 | + | 1.45366i | ||||
\(560\) | 24.3771i | 1.03012i | ||||||||
\(561\) | −27.7257 | + | 33.8362i | −1.17058 | + | 1.42857i | ||||
\(562\) | −3.94767 | − | 0.295837i | −0.166522 | − | 0.0124791i | ||||
\(563\) | 35.3416 | + | 19.5326i | 1.48947 | + | 0.823202i | 0.998839 | − | 0.0481646i | \(-0.0153372\pi\) |
0.490633 | + | 0.871367i | \(0.336766\pi\) | |||||||
\(564\) | 20.6186 | − | 38.1447i | 0.868201 | − | 1.60618i | ||||
\(565\) | 7.33236 | + | 27.3648i | 0.308475 | + | 1.15124i | ||||
\(566\) | 1.18499 | + | 0.584374i | 0.0498090 | + | 0.0245631i | ||||
\(567\) | −47.3487 | + | 21.1872i | −1.98846 | + | 0.889778i | ||||
\(568\) | −10.8306 | + | 11.8937i | −0.454440 | + | 0.499048i | ||||
\(569\) | 28.5864 | − | 13.1138i | 1.19840 | − | 0.549757i | 0.285677 | − | 0.958326i | \(-0.407782\pi\) |
0.912727 | + | 0.408569i | \(0.133972\pi\) | |||||||
\(570\) | −74.9765 | + | 41.4381i | −3.14042 | + | 1.73565i | ||||
\(571\) | 0.0668404 | + | 7.14852i | 0.00279719 | + | 0.299156i | 0.990104 | + | 0.140333i | \(0.0448175\pi\) |
−0.987307 | + | 0.158823i | \(0.949230\pi\) | |||||||
\(572\) | 41.1703 | + | 29.7945i | 1.72142 | + | 1.24577i | ||||
\(573\) | −31.9772 | − | 40.8764i | −1.33587 | − | 1.70763i | ||||
\(574\) | −14.9833 | + | 6.53716i | −0.625392 | + | 0.272856i | ||||
\(575\) | 52.0492 | + | 23.2905i | 2.17060 | + | 0.971281i | ||||
\(576\) | 53.5353 | + | 64.6146i | 2.23064 | + | 2.69228i | ||||
\(577\) | −18.1809 | − | 12.3955i | −0.756881 | − | 0.516033i | 0.122316 | − | 0.992491i | \(-0.460968\pi\) |
−0.879197 | + | 0.476458i | \(0.841920\pi\) | |||||||
\(578\) | −2.46052 | − | 36.6873i | −0.102344 | − | 1.52599i | ||||
\(579\) | 28.2632 | − | 11.0925i | 1.17458 | − | 0.460987i | ||||
\(580\) | −33.8022 | + | 37.8246i | −1.40356 | + | 1.57058i | ||||
\(581\) | −1.99134 | − | 7.71980i | −0.0826149 | − | 0.320271i | ||||
\(582\) | 60.0597 | + | 26.2038i | 2.48955 | + | 1.08618i | ||||
\(583\) | −1.65202 | − | 1.81419i | −0.0684198 | − | 0.0751359i | ||||
\(584\) | −4.25383 | − | 1.80877i | −0.176025 | − | 0.0748476i | ||||
\(585\) | −141.306 | − | 42.1442i | −5.84226 | − | 1.74245i | ||||
\(586\) | −15.6916 | + | 22.1152i | −0.648214 | + | 0.913572i | ||||
\(587\) | −2.17100 | − | 2.09128i | −0.0896067 | − | 0.0863165i | 0.647614 | − | 0.761969i | \(-0.275767\pi\) |
−0.737221 | + | 0.675652i | \(0.763862\pi\) | |||||||
\(588\) | 11.5807 | + | 6.54249i | 0.477578 | + | 0.269808i | ||||
\(589\) | 4.02708 | − | 5.56466i | 0.165933 | − | 0.229288i | ||||
\(590\) | 30.1400 | − | 74.7332i | 1.24084 | − | 3.07672i | ||||
\(591\) | −3.93400 | − | 34.9152i | −0.161823 | − | 1.43622i | ||||
\(592\) | 4.59802 | + | 6.35358i | 0.188977 | + | 0.261130i | ||||
\(593\) | 21.3870 | − | 5.30407i | 0.878259 | − | 0.217812i | 0.224463 | − | 0.974483i | \(-0.427937\pi\) |
0.653796 | + | 0.756671i | \(0.273175\pi\) | |||||||
\(594\) | 86.8365 | − | 19.8199i | 3.56294 | − | 0.813218i | ||||
\(595\) | −44.1630 | + | 12.9834i | −1.81051 | + | 0.532269i | ||||
\(596\) | −48.3737 | − | 27.9285i | −1.98146 | − | 1.14400i | ||||
\(597\) | 15.7700 | − | 1.47880i | 0.645423 | − | 0.0605234i | ||||
\(598\) | −64.6601 | + | 33.4042i | −2.64415 | + | 1.36600i | ||||
\(599\) | −25.1413 | − | 29.2148i | −1.02725 | − | 1.19368i | −0.980851 | − | 0.194760i | \(-0.937607\pi\) |
−0.0463961 | − | 0.998923i | \(-0.514774\pi\) | |||||||
\(600\) | −6.14178 | − | 43.5043i | −0.250737 | − | 1.77605i | ||||
\(601\) | 4.60171 | + | 23.1344i | 0.187708 | + | 0.943671i | 0.953686 | + | 0.300804i | \(0.0972551\pi\) |
−0.765978 | + | 0.642867i | \(0.777745\pi\) | |||||||
\(602\) | 18.2315 | − | 37.3307i | 0.743062 | − | 1.52149i | ||||
\(603\) | −31.7963 | + | 76.7630i | −1.29484 | + | 3.12603i | ||||
\(604\) | 1.73870 | − | 1.55380i | 0.0707468 | − | 0.0632232i | ||||
\(605\) | −1.17571 | − | 0.919743i | −0.0477993 | − | 0.0373929i | ||||
\(606\) | −86.3390 | + | 102.246i | −3.50728 | + | 4.15346i | ||||
\(607\) | 8.36262 | + | 28.0391i | 0.339428 | + | 1.13807i | 0.940760 | + | 0.339072i | \(0.110113\pi\) |
−0.601332 | + | 0.798999i | \(0.705363\pi\) | |||||||
\(608\) | −24.4482 | + | 6.55088i | −0.991506 | + | 0.265673i | ||||
\(609\) | −14.7078 | − | 43.3277i | −0.595989 | − | 1.75573i | ||||
\(610\) | −27.4208 | − | 38.6460i | −1.11023 | − | 1.56473i | ||||
\(611\) | −4.31558 | + | 28.6320i | −0.174590 | + | 1.15833i | ||||
\(612\) | −42.4644 | + | 63.0168i | −1.71652 | + | 2.54730i | ||||
\(613\) | −2.38679 | + | 2.99294i | −0.0964014 | + | 0.120884i | −0.827692 | − | 0.561182i | \(-0.810347\pi\) |
0.731291 | + | 0.682066i | \(0.238918\pi\) | |||||||
\(614\) | −18.4907 | − | 12.1066i | −0.746226 | − | 0.488582i | ||||
\(615\) | −26.3290 | + | 16.2022i | −1.06169 | + | 0.653337i | ||||
\(616\) | −10.9931 | − | 9.46030i | −0.442923 | − | 0.381166i | ||||
\(617\) | −10.2076 | + | 2.22962i | −0.410944 | + | 0.0897613i | −0.414095 | − | 0.910234i | \(-0.635902\pi\) |
0.00315083 | + | 0.999995i | \(0.498997\pi\) | |||||||
\(618\) | −2.49551 | + | 88.9434i | −0.100384 | + | 3.57783i | ||||
\(619\) | 1.51587 | − | 5.08256i | 0.0609278 | − | 0.204285i | −0.922364 | − | 0.386322i | \(-0.873745\pi\) |
0.983292 | + | 0.182037i | \(0.0582691\pi\) | |||||||
\(620\) | 11.6192 | + | 17.7463i | 0.466638 | + | 0.712710i | ||||
\(621\) | −17.5777 | + | 70.8767i | −0.705370 | + | 2.84418i | ||||
\(622\) | 17.3746 | + | 3.79508i | 0.696657 | + | 0.152169i | ||||
\(623\) | −21.9101 | − | 29.1135i | −0.877811 | − | 1.16641i | ||||
\(624\) | −33.2362 | − | 19.6055i | −1.33051 | − | 0.784849i | ||||
\(625\) | 7.25199 | − | 16.6217i | 0.290080 | − | 0.664869i | ||||
\(626\) | 1.74537 | − | 37.3070i | 0.0697590 | − | 1.49109i | ||||
\(627\) | −7.16357 | + | 34.3328i | −0.286085 | + | 1.37112i | ||||
\(628\) | −13.7538 | + | 4.24249i | −0.548837 | + | 0.169294i | ||||
\(629\) | −9.06157 | + | 11.7140i | −0.361308 | + | 0.467067i | ||||
\(630\) | 154.683 | + | 60.7087i | 6.16272 | + | 2.41869i | ||||
\(631\) | −19.5236 | + | 9.85596i | −0.777222 | + | 0.392360i | −0.794324 | − | 0.607494i | \(-0.792175\pi\) |
0.0171026 | + | 0.999854i | \(0.494556\pi\) | |||||||
\(632\) | 1.94790 | + | 3.16539i | 0.0774834 | + | 0.125912i | ||||
\(633\) | 1.18865 | − | 6.28216i | 0.0472446 | − | 0.249694i | ||||
\(634\) | −3.05323 | + | 36.1976i | −0.121259 | + | 1.43759i | ||||
\(635\) | −23.3523 | + | 37.9480i | −0.926708 | + | 1.50592i | ||||
\(636\) | −4.52532 | − | 4.12082i | −0.179440 | − | 0.163401i | ||||
\(637\) | −8.75663 | − | 1.48781i | −0.346950 | − | 0.0589492i | ||||
\(638\) | 4.73512 | + | 35.9668i | 0.187465 | + | 1.42394i | ||||
\(639\) | −33.3732 | − | 67.6742i | −1.32022 | − | 2.67715i | ||||
\(640\) | 4.32847 | − | 41.9368i | 0.171098 | − | 1.65770i | ||||
\(641\) | 6.16515 | − | 19.3429i | 0.243509 | − | 0.764000i | −0.751090 | − | 0.660200i | \(-0.770471\pi\) |
0.994598 | − | 0.103800i | \(-0.0331000\pi\) | |||||||
\(642\) | 83.0704 | − | 71.4879i | 3.27853 | − | 2.82140i | ||||
\(643\) | 16.2832 | − | 21.6365i | 0.642145 | − | 0.853262i | −0.354504 | − | 0.935054i | \(-0.615350\pi\) |
0.996649 | + | 0.0817929i | \(0.0260646\pi\) | |||||||
\(644\) | 43.3788 | − | 17.9681i | 1.70936 | − | 0.708041i | ||||
\(645\) | 24.2708 | − | 74.7236i | 0.955663 | − | 2.94224i | ||||
\(646\) | −15.3518 | − | 25.1673i | −0.604008 | − | 0.990194i | ||||
\(647\) | −4.29265 | + | 8.91378i | −0.168761 | + | 0.350437i | −0.968147 | − | 0.250381i | \(-0.919444\pi\) |
0.799386 | + | 0.600818i | \(0.205158\pi\) | |||||||
\(648\) | 24.6778 | − | 8.12048i | 0.969437 | − | 0.319003i | ||||
\(649\) | −15.1423 | − | 29.3107i | −0.594386 | − | 1.15055i | ||||
\(650\) | 54.1350 | + | 102.428i | 2.12335 | + | 4.01757i | ||||
\(651\) | −19.0919 | + | 1.25135i | −0.748270 | + | 0.0490442i | ||||
\(652\) | −7.96760 | + | 6.98740i | −0.312035 | + | 0.273648i | ||||
\(653\) | −13.0898 | + | 34.2916i | −0.512243 | + | 1.34194i | 0.393973 | + | 0.919122i | \(0.371100\pi\) |
−0.906217 | + | 0.422813i | \(0.861043\pi\) | |||||||
\(654\) | −25.7645 | + | 42.7585i | −1.00747 | + | 1.67199i | ||||
\(655\) | −2.02532 | − | 4.41495i | −0.0791357 | − | 0.172506i | ||||
\(656\) | −5.36787 | + | 1.71090i | −0.209580 | + | 0.0667992i | ||||
\(657\) | 15.1879 | − | 15.4746i | 0.592537 | − | 0.603723i | ||||
\(658\) | 7.55800 | − | 31.7427i | 0.294641 | − | 1.23746i | ||||
\(659\) | 29.8186 | − | 34.6498i | 1.16157 | − | 1.34977i | 0.235741 | − | 0.971816i | \(-0.424248\pi\) |
0.925826 | − | 0.377949i | \(-0.123371\pi\) | |||||||
\(660\) | −91.1615 | − | 58.4765i | −3.54846 | − | 2.27620i | ||||
\(661\) | −38.0923 | + | 6.47214i | −1.48162 | + | 0.251737i | −0.851333 | − | 0.524626i | \(-0.824205\pi\) |
−0.630286 | + | 0.776363i | \(0.717062\pi\) | |||||||
\(662\) | −21.1251 | − | 68.4858i | −0.821050 | − | 2.66178i | ||||
\(663\) | 17.8167 | − | 70.6546i | 0.691942 | − | 2.74400i | ||||
\(664\) | 0.595108 | + | 3.94828i | 0.0230947 | + | 0.153223i | ||||
\(665\) | −26.5799 | + | 25.6039i | −1.03072 | + | 0.992877i | ||||
\(666\) | 51.7670 | − | 13.3534i | 2.00593 | − | 0.517435i | ||||
\(667\) | −28.0729 | − | 9.82313i | −1.08699 | − | 0.380353i | ||||
\(668\) | 17.2265 | − | 24.7659i | 0.666512 | − | 0.958221i | ||||
\(669\) | −13.3355 | + | 4.80670i | −0.515579 | + | 0.185838i | ||||
\(670\) | 92.3150 | − | 37.2308i | 3.56644 | − | 1.43835i | ||||
\(671\) | −19.3154 | − | 1.81127i | −0.745662 | − | 0.0699231i | ||||
\(672\) | 57.4973 | + | 40.7965i | 2.21801 | + | 1.57376i | ||||
\(673\) | 17.5088 | + | 25.1718i | 0.674916 | + | 0.970303i | 0.999699 | + | 0.0245143i | \(0.00780393\pi\) |
−0.324783 | + | 0.945789i | \(0.605291\pi\) | |||||||
\(674\) | 6.18768 | + | 22.2582i | 0.238340 | + | 0.857352i | ||||
\(675\) | 113.083 | + | 26.9252i | 4.35256 | + | 1.03635i | ||||
\(676\) | −48.9662 | − | 9.26490i | −1.88332 | − | 0.356342i | ||||
\(677\) | −38.9529 | + | 32.8928i | −1.49708 | + | 1.26417i | −0.619261 | + | 0.785185i | \(0.712568\pi\) |
−0.877822 | + | 0.478988i | \(0.841004\pi\) | |||||||
\(678\) | 47.3800 | + | 17.5801i | 1.81962 | + | 0.675160i | ||||
\(679\) | 27.9147 | + | 4.20747i | 1.07127 | + | 0.161468i | ||||
\(680\) | 22.6690 | − | 4.19731i | 0.869315 | − | 0.160959i | ||||
\(681\) | 7.25100 | + | 12.5591i | 0.277859 | + | 0.481266i | ||||
\(682\) | 15.0395 | + | 1.97999i | 0.575893 | + | 0.0758177i | ||||
\(683\) | 10.3170 | + | 5.57672i | 0.394769 | + | 0.213387i | 0.660775 | − | 0.750584i | \(-0.270228\pi\) |
−0.266006 | + | 0.963971i | \(0.585704\pi\) | |||||||
\(684\) | −6.82132 | + | 60.5409i | −0.260820 | + | 2.31484i | ||||
\(685\) | −12.8317 | + | 7.24925i | −0.490273 | + | 0.276980i | ||||
\(686\) | −33.2509 | − | 8.57715i | −1.26952 | − | 0.327477i | ||||
\(687\) | 28.4636 | + | 19.0188i | 1.08595 | + | 0.725611i | ||||
\(688\) | 7.57101 | − | 12.1526i | 0.288642 | − | 0.463312i | ||||
\(689\) | 3.77599 | + | 1.56407i | 0.143854 | + | 0.0595861i | ||||
\(690\) | 133.591 | − | 78.8031i | 5.08571 | − | 2.99998i | ||||
\(691\) | −1.92285 | − | 15.7414i | −0.0731485 | − | 0.598832i | −0.982961 | − | 0.183813i | \(-0.941156\pi\) |
0.909813 | − | 0.415019i | \(-0.136225\pi\) | |||||||
\(692\) | 26.6589 | + | 8.49697i | 1.01342 | + | 0.323006i | ||||
\(693\) | 60.1476 | − | 31.7889i | 2.28482 | − | 1.20756i | ||||
\(694\) | 31.0273 | + | 27.2102i | 1.17778 | + | 1.03289i | ||||
\(695\) | −37.9479 | − | 29.1184i | −1.43944 | − | 1.10452i | ||||
\(696\) | 5.09930 | + | 22.3415i | 0.193288 | + | 0.846852i | ||||
\(697\) | −5.95852 | − | 8.81351i | −0.225695 | − | 0.333836i | ||||
\(698\) | 47.6229 | + | 44.1876i | 1.80255 | + | 1.67252i | ||||
\(699\) | 11.7682 | − | 40.8482i | 0.445113 | − | 1.54502i | ||||
\(700\) | −29.2471 | − | 68.7827i | −1.10544 | − | 2.59974i | ||||
\(701\) | −0.246492 | + | 6.58763i | −0.00930987 | + | 0.248811i | 0.986872 | + | 0.161506i | \(0.0516351\pi\) |
−0.996182 | + | 0.0873054i | \(0.972174\pi\) | |||||||
\(702\) | −116.856 | + | 91.4152i | −4.41044 | + | 3.45024i | ||||
\(703\) | −2.09828 | + | 11.6868i | −0.0791380 | + | 0.440776i | ||||
\(704\) | −28.2743 | − | 29.9067i | −1.06563 | − | 1.12715i | ||||
\(705\) | 5.76125 | − | 61.4381i | 0.216981 | − | 2.31389i | ||||
\(706\) | 38.2068 | − | 25.0155i | 1.43793 | − | 0.941469i | ||||
\(707\) | −24.5279 | + | 52.1752i | −0.922468 | + | 1.96225i | ||||
\(708\) | −44.4321 | − | 69.2670i | −1.66986 | − | 2.60321i | ||||
\(709\) | −8.53232 | + | 14.4644i | −0.320438 | + | 0.543221i | −0.977585 | − | 0.210541i | \(-0.932477\pi\) |
0.657147 | + | 0.753762i | \(0.271763\pi\) | |||||||
\(710\) | −29.8562 | + | 85.3240i | −1.12048 | + | 3.20215i | ||||
\(711\) | −17.1598 | + | 3.08092i | −0.643544 | + | 0.115543i | ||||
\(712\) | 9.41830 | + | 15.6305i | 0.352966 | + | 0.585778i | ||||
\(713\) | −7.00577 | + | 10.2756i | −0.262368 | + | 0.384823i | ||||
\(714\) | −26.6989 | + | 77.6519i | −0.999181 | + | 2.90605i | ||||
\(715\) | 70.5105 | + | 16.0936i | 2.63694 | + | 0.601865i | ||||
\(716\) | −27.5896 | + | 0.515984i | −1.03107 | + | 0.0192832i | ||||
\(717\) | −26.6417 | − | 3.25433i | −0.994953 | − | 0.121535i | ||||
\(718\) | −30.1755 | − | 1.12909i | −1.12614 | − | 0.0421371i | ||||
\(719\) | −20.1214 | − | 8.11499i | −0.750401 | − | 0.302638i | −0.0331482 | − | 0.999450i | \(-0.510553\pi\) |
−0.717253 | + | 0.696813i | \(0.754601\pi\) | |||||||
\(720\) | 50.8802 | + | 26.2853i | 1.89619 | + | 0.979596i | ||||
\(721\) | 8.87898 | + | 37.2907i | 0.330671 | + | 1.38878i | ||||
\(722\) | 14.9550 | + | 9.01128i | 0.556569 | + | 0.335365i | ||||
\(723\) | 10.4364 | − | 61.4240i | 0.388132 | − | 2.28438i | ||||
\(724\) | 1.67816 | − | 25.6038i | 0.0623685 | − | 0.951559i | ||||
\(725\) | −15.2186 | + | 44.8325i | −0.565204 | + | 1.66504i | ||||
\(726\) | −2.55170 | + | 0.761042i | −0.0947026 | + | 0.0282449i | ||||
\(727\) | −33.7165 | − | 3.79894i | −1.25048 | − | 0.140895i | −0.538214 | − | 0.842808i | \(-0.680901\pi\) |
−0.712263 | + | 0.701913i | \(0.752329\pi\) | |||||||
\(728\) | 23.2757 | + | 6.47054i | 0.862653 | + | 0.239814i | ||||
\(729\) | −0.381493 | + | 6.79312i | −0.0141294 | + | 0.251597i | ||||
\(730\) | −25.9760 | −0.961417 | ||||||||
\(731\) | 26.0486 | + | 7.24353i | 0.963443 | + | 0.267912i | ||||
\(732\) | −48.3918 | −1.78861 | ||||||||
\(733\) | −0.993942 | + | 17.6988i | −0.0367121 | + | 0.653719i | 0.925052 | + | 0.379840i | \(0.124021\pi\) |
−0.961764 | + | 0.273879i | \(0.911693\pi\) | |||||||
\(734\) | 56.6947 | + | 15.7609i | 2.09264 | + | 0.581746i | ||||
\(735\) | 18.8099 | + | 2.11937i | 0.693815 | + | 0.0781741i | ||||
\(736\) | 43.9145 | − | 13.0974i | 1.61871 | − | 0.482778i | ||||
\(737\) | 13.0995 | − | 38.5897i | 0.482525 | − | 1.42147i | ||||
\(738\) | −2.51177 | + | 38.3222i | −0.0924595 | + | 1.41066i | ||||
\(739\) | 0.325756 | − | 1.91726i | 0.0119831 | − | 0.0705276i | −0.979249 | − | 0.202663i | \(-0.935040\pi\) |
0.991232 | + | 0.132135i | \(0.0421833\pi\) | |||||||
\(740\) | −31.4058 | − | 18.9238i | −1.15450 | − | 0.695654i | ||||
\(741\) | −13.5317 | − | 56.8315i | −0.497099 | − | 2.08776i | ||||
\(742\) | −4.09199 | − | 2.11397i | −0.150222 | − | 0.0776064i | ||||
\(743\) | −1.18034 | − | 0.476034i | −0.0433026 | − | 0.0174640i | 0.352275 | − | 0.935896i | \(-0.385408\pi\) |
−0.395578 | + | 0.918432i | \(0.629456\pi\) | |||||||
\(744\) | 9.57564 | + | 0.358295i | 0.351060 | + | 0.0131357i | ||||
\(745\) | −78.9052 | − | 9.63841i | −2.89086 | − | 0.353124i | ||||
\(746\) | −54.7861 | + | 1.02462i | −2.00586 | + | 0.0375139i | ||||
\(747\) | −18.2601 | − | 4.16774i | −0.668100 | − | 0.152490i | ||||
\(748\) | 18.7617 | − | 32.2042i | 0.685995 | − | 1.17750i | ||||
\(749\) | 26.5974 | − | 39.0112i | 0.971846 | − | 1.42544i | ||||
\(750\) | −60.5531 | − | 100.493i | −2.21109 | − | 3.66950i | ||||
\(751\) | −42.0146 | + | 7.54340i | −1.53313 | + | 0.275262i | −0.877411 | − | 0.479739i | \(-0.840731\pi\) |
−0.655723 | + | 0.755002i | \(0.727636\pi\) | |||||||
\(752\) | 3.71420 | − | 10.6146i | 0.135443 | − | 0.387073i | ||||
\(753\) | 34.8835 | − | 59.1361i | 1.27122 | − | 2.15504i | ||||
\(754\) | −32.6263 | − | 50.8625i | −1.18818 | − | 1.85230i | ||||
\(755\) | 1.41181 | − | 3.00317i | 0.0513811 | − | 0.109297i | ||||
\(756\) | 80.0790 | − | 52.4308i | 2.91245 | − | 1.90689i | ||||
\(757\) | −0.738439 | + | 7.87473i | −0.0268390 | + | 0.286212i | 0.971874 | + | 0.235500i | \(0.0756728\pi\) |
−0.998713 | + | 0.0507118i | \(0.983851\pi\) | |||||||
\(758\) | −37.5295 | − | 39.6963i | −1.36313 | − | 1.44183i | ||||
\(759\) | 11.2215 | − | 62.5004i | 0.407313 | − | 2.26862i | ||||
\(760\) | 14.5582 | − | 11.3888i | 0.528083 | − | 0.413114i | ||||
\(761\) | 0.0414158 | − | 1.10686i | 0.00150132 | − | 0.0401237i | −0.998349 | − | 0.0574455i | \(-0.981704\pi\) |
0.999850 | + | 0.0173218i | \(0.00551398\pi\) | |||||||
\(762\) | 31.1024 | + | 73.1458i | 1.12672 | + | 2.64979i | ||||
\(763\) | −5.95380 | + | 20.6661i | −0.215542 | + | 0.748163i | ||||
\(764\) | 32.4137 | + | 30.0756i | 1.17269 | + | 1.08810i | ||||
\(765\) | −20.5208 | + | 106.177i | −0.741933 | + | 3.83884i | ||||
\(766\) | −5.16405 | − | 22.6252i | −0.186585 | − | 0.817481i | ||||
\(767\) | 43.5976 | + | 33.4536i | 1.57422 | + | 1.20794i | ||||
\(768\) | 1.09503 | + | 0.960317i | 0.0395135 | + | 0.0346524i | ||||
\(769\) | −1.54008 | + | 0.813956i | −0.0555367 | + | 0.0293520i | −0.494806 | − | 0.869003i | \(-0.664761\pi\) |
0.439270 | + | 0.898355i | \(0.355237\pi\) | |||||||
\(770\) | −77.6534 | − | 24.7504i | −2.79843 | − | 0.891941i | ||||
\(771\) | 0.838113 | + | 6.86124i | 0.0301839 | + | 0.247101i | ||||
\(772\) | −22.2809 | + | 13.1432i | −0.801908 | + | 0.473033i | ||||
\(773\) | 30.5016 | + | 12.6342i | 1.09707 | + | 0.454419i | 0.856465 | − | 0.516205i | \(-0.172656\pi\) |
0.240600 | + | 0.970624i | \(0.422656\pi\) | |||||||
\(774\) | −58.2583 | − | 78.3058i | −2.09405 | − | 2.81465i | ||||
\(775\) | 16.4609 | + | 10.9988i | 0.591292 | + | 0.395089i | ||||
\(776\) | −13.6903 | − | 3.53146i | −0.491455 | − | 0.126772i | ||||
\(777\) | 28.7954 | − | 16.2680i | 1.03303 | − | 0.583610i | ||||
\(778\) | 1.71611 | − | 15.2309i | 0.0615257 | − | 0.546055i | ||||
\(779\) | −7.50350 | − | 4.05592i | −0.268841 | − | 0.145318i | ||||
\(780\) | 178.861 | + | 23.5476i | 6.40427 | + | 0.843138i | ||||
\(781\) | 18.5046 | + | 32.0509i | 0.662147 | + | 1.14687i | ||||
\(782\) | 29.0621 | + | 44.7690i | 1.03926 | + | 1.60094i | ||||
\(783\) | −59.9536 | − | 9.03655i | −2.14257 | − | 0.322940i | ||||
\(784\) | 3.23416 | + | 1.20002i | 0.115506 | + | 0.0428579i | ||||
\(785\) | −15.6501 | + | 13.2153i | −0.558576 | + | 0.471676i | ||||
\(786\) | −8.51365 | − | 1.61087i | −0.303672 | − | 0.0574578i | ||||
\(787\) | −40.8773 | − | 9.73297i | −1.45712 | − | 0.346943i | −0.575072 | − | 0.818103i | \(-0.695026\pi\) |
−0.882048 | + | 0.471160i | \(0.843836\pi\) | |||||||
\(788\) | 8.01808 | + | 28.8424i | 0.285632 | + | 1.02747i | ||||
\(789\) | −32.9864 | − | 47.4233i | −1.17435 | − | 1.68831i | ||||
\(790\) | 17.0341 | + | 12.0864i | 0.606047 | + | 0.430013i | ||||
\(791\) | 21.6767 | + | 2.03269i | 0.770734 | + | 0.0722742i | ||||
\(792\) | −31.5992 | + | 12.7440i | −1.12283 | + | 0.452838i | ||||
\(793\) | 30.4005 | − | 10.9577i | 1.07955 | − | 0.389120i | ||||
\(794\) | 28.1192 | − | 40.4260i | 0.997914 | − | 1.43466i | ||||
\(795\) | −8.22135 | − | 2.87678i | −0.291581 | − | 0.102029i | ||||
\(796\) | −13.0673 | + | 3.37075i | −0.463159 | + | 0.119473i | ||||
\(797\) | 6.36949 | − | 6.13562i | 0.225619 | − | 0.217335i | −0.572388 | − | 0.819983i | \(-0.693983\pi\) |
0.798007 | + | 0.602648i | \(0.205888\pi\) | |||||||
\(798\) | 9.81210 | + | 65.0990i | 0.347344 | + | 2.30448i | ||||
\(799\) | 21.2081 | + | 1.07546i | 0.750290 | + | 0.0380470i | ||||
\(800\) | −21.5020 | − | 69.7079i | −0.760212 | − | 2.46455i | ||||
\(801\) | −84.3911 | + | 14.3386i | −2.98181 | + | 0.506630i | ||||
\(802\) | −40.8204 | − | 26.1847i | −1.44142 | − | 0.924614i | ||||
\(803\) | −6.93695 | + | 8.06089i | −0.244800 | + | 0.284463i | ||||
\(804\) | 23.5456 | − | 98.8887i | 0.830389 | − | 3.48754i | ||||
\(805\) | 46.8049 | − | 47.6884i | 1.64966 | − | 1.68080i | ||||
\(806\) | −24.0744 | + | 7.67322i | −0.847986 | + | 0.270278i | ||||
\(807\) | −3.39635 | − | 7.40363i | −0.119557 | − | 0.260620i | ||||
\(808\) | 14.9023 | − | 24.7317i | 0.524260 | − | 0.870057i | ||||
\(809\) | −14.9615 | + | 39.1950i | −0.526018 | + | 1.37802i | 0.367931 | + | 0.929853i | \(0.380066\pi\) |
−0.893949 | + | 0.448168i | \(0.852077\pi\) | |||||||
\(810\) | 109.764 | − | 96.2607i | 3.85673 | − | 3.38226i | ||||
\(811\) | −3.40076 | + | 0.222898i | −0.119417 | + | 0.00782700i | −0.124994 | − | 0.992157i | \(-0.539891\pi\) |
0.00557747 | + | 0.999984i | \(0.498225\pi\) | |||||||
\(812\) | 18.2162 | + | 34.4667i | 0.639262 | + | 1.20954i | ||||
\(813\) | −19.0556 | − | 36.8857i | −0.668309 | − | 1.29364i | ||||
\(814\) | −24.9077 | + | 8.19613i | −0.873015 | + | 0.287274i | ||||
\(815\) | −6.54363 | + | 13.5880i | −0.229213 | + | 0.475966i | ||||
\(816\) | −11.9005 | + | 25.6758i | −0.416601 | + | 0.898834i | ||||
\(817\) | 21.2027 | − | 4.50901i | 0.741788 | − | 0.157750i | ||||
\(818\) | 74.9724 | − | 31.0546i | 2.62135 | − | 1.08580i | ||||
\(819\) | −68.1417 | + | 90.5445i | −2.38106 | + | 3.16388i | ||||
\(820\) | 19.9647 | − | 17.1810i | 0.697198 | − | 0.599987i | ||||
\(821\) | −9.15194 | + | 28.7139i | −0.319405 | + | 1.00212i | 0.650679 | + | 0.759353i | \(0.274484\pi\) |
−0.970084 | + | 0.242769i | \(0.921944\pi\) | |||||||
\(822\) | −2.69915 | + | 26.1510i | −0.0941436 | + | 0.912120i | ||||
\(823\) | 7.13143 | + | 14.4611i | 0.248586 | + | 0.504082i | 0.985023 | − | 0.172424i | \(-0.0551599\pi\) |
−0.736437 | + | 0.676506i | \(0.763493\pi\) | |||||||
\(824\) | −2.50590 | − | 19.0342i | −0.0872972 | − | 0.663088i | ||||
\(825\) | −99.6548 | − | 16.9320i | −3.46953 | − | 0.589497i | ||||
\(826\) | −45.7880 | − | 41.6952i | −1.59317 | − | 1.45076i | ||||
\(827\) | 19.0591 | − | 30.9715i | 0.662750 | − | 1.07698i | −0.328439 | − | 0.944525i | \(-0.606523\pi\) |
0.991189 | − | 0.132458i | \(-0.0422870\pi\) | |||||||
\(828\) | 9.27123 | − | 109.915i | 0.322197 | − | 3.81981i | ||||
\(829\) | −6.61280 | + | 34.9495i | −0.229672 | + | 1.21385i | 0.657875 | + | 0.753127i | \(0.271456\pi\) |
−0.887547 | + | 0.460718i | \(0.847592\pi\) | |||||||
\(830\) | 11.7597 | + | 19.1099i | 0.408187 | + | 0.663313i | ||||
\(831\) | −14.1362 | + | 7.13629i | −0.490380 | + | 0.247555i | ||||
\(832\) | 63.8159 | + | 25.0459i | 2.21242 | + | 0.868310i | ||||
\(833\) | −0.451490 | + | 6.49833i | −0.0156432 | + | 0.225154i | ||||
\(834\) | −81.5343 | + | 25.1500i | −2.82330 | + | 0.870874i | ||||
\(835\) | 8.76908 | − | 42.0276i | 0.303467 | − | 1.45442i | ||||
\(836\) | 1.39646 | − | 29.8491i | 0.0482975 | − | 1.03235i | ||||
\(837\) | −10.1384 | + | 23.2374i | −0.350433 | + | 0.803201i | ||||
\(838\) | 35.2698 | + | 20.8051i | 1.21838 | + | 0.718701i | ||||
\(839\) | 1.31850 | + | 1.75198i | 0.0455196 | + | 0.0604850i | 0.821198 | − | 0.570644i | \(-0.193306\pi\) |
−0.775678 | + | 0.631129i | \(0.782592\pi\) | |||||||
\(840\) | −50.2986 | − | 10.9866i | −1.73546 | − | 0.379073i | ||||
\(841\) | −1.03643 | + | 4.17907i | −0.0357388 | + | 0.144106i | ||||
\(842\) | −8.62722 | − | 13.1766i | −0.297314 | − | 0.454096i | ||||
\(843\) | −1.64436 | + | 5.51340i | −0.0566349 | + | 0.189892i | ||||
\(844\) | −0.152779 | + | 5.44526i | −0.00525888 | + | 0.187434i | ||||
\(845\) | −69.2878 | + | 15.1343i | −2.38357 | + | 0.520637i | ||||
\(846\) | −58.1040 | − | 50.0025i | −1.99766 | − | 1.71912i | ||||
\(847\) | −0.976993 | + | 0.601218i | −0.0335699 | + | 0.0206581i | ||||
\(848\) | −1.32801 | − | 0.869499i | −0.0456041 | − | 0.0298587i | ||||
\(849\) | 1.19724 | − | 1.50129i | 0.0410892 | − | 0.0515242i | ||||
\(850\) | 70.8305 | − | 46.9272i | 2.42947 | − | 1.60959i | ||||
\(851\) | 3.20408 | − | 21.2577i | 0.109834 | − | 0.728704i | ||||
\(852\) | 53.4206 | + | 75.2893i | 1.83016 | + | 2.57937i | ||||
\(853\) | −8.09378 | − | 23.8435i | −0.277126 | − | 0.816386i | −0.992996 | − | 0.118152i | \(-0.962303\pi\) |
0.715870 | − | 0.698234i | \(-0.246030\pi\) | |||||||
\(854\) | −35.1753 | + | 9.42519i | −1.20367 | + | 0.322523i | ||||
\(855\) | 24.7802 | + | 83.0858i | 0.847466 | + | 2.84147i | ||||
\(856\) | −15.2563 | + | 18.0672i | −0.521451 | + | 0.617523i | ||||
\(857\) | 1.35131 | + | 1.05711i | 0.0461598 | + | 0.0361103i | 0.638968 | − | 0.769233i | \(-0.279362\pi\) |
−0.592808 | + | 0.805344i | \(0.701981\pi\) | |||||||
\(858\) | 96.1984 | − | 85.9681i | 3.28416 | − | 2.93490i | ||||
\(859\) | −12.7612 | + | 30.8083i | −0.435407 | + | 1.05116i | 0.542110 | + | 0.840307i | \(0.317626\pi\) |
−0.977517 | + | 0.210857i | \(0.932374\pi\) | |||||||
\(860\) | −10.3412 | + | 66.1355i | −0.352634 | + | 2.25520i | ||||
\(861\) | 4.63499 | + | 23.3017i | 0.157960 | + | 0.794119i | ||||
\(862\) | 5.93128 | + | 42.0132i | 0.202020 | + | 1.43098i | ||||
\(863\) | −9.38758 | − | 10.9086i | −0.319557 | − | 0.371332i | 0.575102 | − | 0.818082i | \(-0.304962\pi\) |
−0.894659 | + | 0.446750i | \(0.852581\pi\) | |||||||
\(864\) | 82.9980 | − | 42.8778i | 2.82365 | − | 1.45873i | ||||
\(865\) | 39.6455 | − | 3.71769i | 1.34799 | − | 0.126405i | ||||
\(866\) | −22.7620 | − | 13.1416i | −0.773483 | − | 0.446571i | ||||
\(867\) | −52.8541 | − | 7.88448i | −1.79502 | − | 0.267771i | ||||
\(868\) | 15.8926 | − | 3.62738i | 0.539430 | − | 0.123121i | ||||
\(869\) | 8.29963 | − | 2.05834i | 0.281546 | − | 0.0698246i | ||||
\(870\) | 75.4992 | + | 104.325i | 2.55966 | + | 3.53696i | ||||
\(871\) | 7.60037 | + | 67.4552i | 0.257529 | + | 2.28563i | ||||
\(872\) | 4.02874 | − | 9.98940i | 0.136430 | − | 0.338284i | ||||
\(873\) | 38.8817 | − | 53.7270i | 1.31594 | − | 1.81838i | ||||
\(874\) | 37.2583 | + | 21.0491i | 1.26028 | + | 0.711996i | ||||
\(875\) | −36.4035 | − | 35.0669i | −1.23066 | − | 1.18548i | ||||
\(876\) | −15.3507 | + | 21.6348i | −0.518653 | + | 0.730973i | ||||
\(877\) | 15.5268 | + | 4.63084i | 0.524302 | + | 0.156372i | 0.537056 | − | 0.843546i | \(-0.319536\pi\) |
−0.0127545 | + | 0.999919i | \(0.504060\pi\) | |||||||
\(878\) | −8.13379 | − | 3.45857i | −0.274502 | − | 0.116721i | ||||
\(879\) | 26.5341 | + | 29.1386i | 0.894971 | + | 0.982822i | ||||
\(880\) | −25.7453 | − | 11.2325i | −0.867873 | − | 0.378649i | ||||
\(881\) | 5.44934 | + | 21.1253i | 0.183593 | + | 0.711730i | 0.992336 | + | 0.123569i | \(0.0394339\pi\) |
−0.808743 | + | 0.588162i | \(0.799852\pi\) | |||||||
\(882\) | 15.6690 | − | 17.5336i | 0.527602 | − | 0.590387i | ||||
\(883\) | −17.2102 | + | 6.75450i | −0.579169 | + | 0.227307i | −0.636798 | − | 0.771031i | \(-0.719741\pi\) |
0.0576286 | + | 0.998338i | \(0.481646\pi\) | |||||||
\(884\) | −5.46031 | + | 61.8419i | −0.183650 | + | 2.07997i | ||||
\(885\) | −96.7634 | − | 65.9722i | −3.25267 | − | 2.21763i | ||||
\(886\) | 49.7492 | + | 60.0449i | 1.67136 | + | 2.01725i | ||||
\(887\) | 41.6990 | + | 18.6591i | 1.40012 | + | 0.626511i | 0.962160 | − | 0.272485i | \(-0.0878456\pi\) |
0.437955 | + | 0.898997i | \(0.355703\pi\) | |||||||
\(888\) | −15.1819 | + | 6.62381i | −0.509472 | + | 0.222281i | ||||
\(889\) | 21.0987 | + | 26.9705i | 0.707629 | + | 0.904561i | ||||
\(890\) | 83.0776 | + | 60.1224i | 2.78477 | + | 2.01531i | ||||
\(891\) | −0.558852 | − | 59.7687i | −0.0187223 | − | 2.00233i | ||||
\(892\) | 10.5705 | − | 5.84209i | 0.353925 | − | 0.195607i | ||||
\(893\) | 15.4748 | − | 7.09892i | 0.517844 | − | 0.237556i | ||||
\(894\) | −95.4727 | + | 104.844i | −3.19308 | + | 3.50652i | ||||
\(895\) | −35.8453 | + | 16.0397i | −1.19818 | + | 0.536149i | ||||
\(896\) | −29.0585 | − | 14.3301i | −0.970777 | − | 0.478734i | ||||
\(897\) | 27.3759 | + | 102.168i | 0.914055 | + | 3.41130i | ||||
\(898\) | −27.9203 | + | 51.6528i | −0.931711 | + | 1.72368i | ||||
\(899\) | −9.03750 | − | 4.99485i | −0.301417 | − | 0.166587i | ||||
\(900\) | −175.100 | − | 13.1219i | −5.83667 | − | 0.437398i | ||||
\(901\) | 0.867926 | − | 2.86900i | 0.0289148 | − | 0.0955803i | ||||
\(902\) | − | 18.8364i | − | 0.627185i | ||||||
\(903\) | −47.3502 | − | 37.4639i | −1.57572 | − | 1.24672i | ||||
\(904\) | −10.6945 | − | 2.12726i | −0.355693 | − | 0.0707517i | ||||
\(905\) | −12.0604 | − | 34.4665i | −0.400900 | − | 1.14571i | ||||
\(906\) | −2.91175 | − | 5.15399i | −0.0967364 | − | 0.171230i | ||||
\(907\) | −27.7057 | − | 23.3954i | −0.919953 | − | 0.776831i | 0.0551744 | − | 0.998477i | \(-0.482429\pi\) |
−0.975127 | + | 0.221646i | \(0.928857\pi\) | |||||||
\(908\) | −7.79370 | − | 9.58770i | −0.258643 | − | 0.318179i | ||||
\(909\) | 82.4525 | + | 107.454i | 2.73478 | + | 3.56403i | ||||
\(910\) | 134.598 | − | 17.7202i | 4.46188 | − | 0.587418i | ||||
\(911\) | 50.8994 | + | 19.4293i | 1.68637 | + | 0.643722i | 0.996758 | − | 0.0804553i | \(-0.0256374\pi\) |
0.689614 | + | 0.724177i | \(0.257780\pi\) | |||||||
\(912\) | 1.06033 | + | 22.6643i | 0.0351110 | + | 0.750491i | ||||
\(913\) | 9.07064 | + | 1.45404i | 0.300194 | + | 0.0481217i | ||||
\(914\) | 28.8789 | − | 3.25387i | 0.955228 | − | 0.107628i | ||||
\(915\) | −63.3761 | + | 26.9482i | −2.09515 | + | 0.890880i | ||||
\(916\) | −26.5102 | − | 12.1613i | −0.875923 | − | 0.401822i | ||||
\(917\) | −3.72244 | + | 0.278958i | −0.122926 | + | 0.00921202i | ||||
\(918\) | 75.1793 | + | 78.6592i | 2.48129 | + | 2.59614i | ||||
\(919\) | 4.41761 | − | 19.3548i | 0.145723 | − | 0.638456i | −0.848321 | − | 0.529482i | \(-0.822386\pi\) |
0.994045 | − | 0.108974i | \(-0.0347566\pi\) | |||||||
\(920\) | −25.7696 | + | 21.3510i | −0.849599 | + | 0.703921i | ||||
\(921\) | −22.9244 | + | 22.4996i | −0.755383 | + | 0.741388i | ||||
\(922\) | 5.19146 | + | 3.83147i | 0.170972 | + | 0.126183i | ||||
\(923\) | −50.6080 | − | 35.2016i | −1.66578 | − | 1.15867i | ||||
\(924\) | −66.5038 | + | 50.0492i | −2.18781 | + | 1.64650i | ||||
\(925\) | −33.8856 | − | 4.78385i | −1.11415 | − | 0.157292i | ||||
\(926\) | 82.7715 | + | 1.54800i | 2.72004 | + | 0.0508706i | ||||
\(927\) | 87.4074 | + | 21.6774i | 2.87084 | + | 0.711980i | ||||
\(928\) | 14.2313 | + | 35.2871i | 0.467166 | + | 1.15836i | ||||
\(929\) | 4.87678 | − | 2.63608i | 0.160002 | − | 0.0864869i | −0.393543 | − | 0.919306i | \(-0.628751\pi\) |
0.553545 | + | 0.832819i | \(0.313275\pi\) | |||||||
\(930\) | 50.3081 | − | 19.2036i | 1.64967 | − | 0.629712i | ||||
\(931\) | 2.08847 | + | 4.78681i | 0.0684467 | + | 0.156881i | ||||
\(932\) | −4.39150 | + | 35.9512i | −0.143849 | + | 1.17762i | ||||
\(933\) | 10.7770 | − | 23.4925i | 0.352822 | − | 0.769110i | ||||
\(934\) | 27.2793 | + | 40.0114i | 0.892607 | + | 1.30921i | ||||
\(935\) | 6.63741 | − | 52.6241i | 0.217067 | − | 1.72099i | ||||
\(936\) | 38.6030 | − | 41.6041i | 1.26178 | − | 1.35987i | ||||
\(937\) | −7.34598 | − | 29.6204i | −0.239983 | − | 0.967655i | −0.961400 | − | 0.275155i | \(-0.911271\pi\) |
0.721417 | − | 0.692501i | \(-0.243491\pi\) | |||||||
\(938\) | −2.14545 | − | 76.4667i | −0.0700514 | − | 2.49673i | ||||
\(939\) | −52.4295 | − | 14.0484i | −1.71097 | − | 0.458454i | ||||
\(940\) | 3.43859 | + | 52.4627i | 0.112154 | + | 1.71115i | ||||
\(941\) | 2.06505 | + | 0.213142i | 0.0673189 | + | 0.00694824i | 0.136269 | − | 0.990672i | \(-0.456489\pi\) |
−0.0689503 | + | 0.997620i | \(0.521965\pi\) | |||||||
\(942\) | 3.07114 | + | 36.4099i | 0.100063 | + | 1.18630i | ||||
\(943\) | 13.7860 | + | 6.95950i | 0.448935 | + | 0.226633i | ||||
\(944\) | −14.2217 | − | 15.9140i | −0.462876 | − | 0.517958i | ||||
\(945\) | 75.6778 | − | 113.260i | 2.46180 | − | 3.68434i | ||||
\(946\) | 31.0250 | + | 36.4560i | 1.00871 | + | 1.18529i | ||||
\(947\) | 36.5240 | − | 24.4046i | 1.18687 | − | 0.793042i | 0.204297 | − | 0.978909i | \(-0.434509\pi\) |
0.982575 | + | 0.185867i | \(0.0595093\pi\) | |||||||
\(948\) | 20.1329 | − | 7.04479i | 0.653885 | − | 0.228804i | ||||
\(949\) | 4.74465 | − | 17.0673i | 0.154018 | − | 0.554029i | ||||
\(950\) | 32.9513 | − | 59.6208i | 1.06908 | − | 1.93436i | ||||
\(951\) | 50.4487 | + | 15.5614i | 1.63591 | + | 0.504612i | ||||
\(952\) | 3.03614 | − | 17.4552i | 0.0984019 | − | 0.565727i | ||||
\(953\) | 4.95634 | − | 2.86155i | 0.160552 | − | 0.0926946i | −0.417571 | − | 0.908644i | \(-0.637119\pi\) |
0.578123 | + | 0.815950i | \(0.303785\pi\) | |||||||
\(954\) | −8.82460 | + | 6.26139i | −0.285707 | + | 0.202720i | ||||
\(955\) | 59.1989 | + | 21.3379i | 1.91563 | + | 0.690479i | ||||
\(956\) | 22.8516 | − | 0.855047i | 0.739074 | − | 0.0276542i | ||||
\(957\) | 52.5365 | + | 4.43140i | 1.69826 | + | 0.143247i | ||||
\(958\) | −10.7100 | − | 10.5115i | −0.346023 | − | 0.339612i | ||||
\(959\) | 1.79270 | + | 11.1833i | 0.0578894 | + | 0.361127i | ||||
\(960\) | −138.779 | − | 45.6665i | −4.47906 | − | 1.47388i | ||||
\(961\) | 18.5111 | − | 19.2167i | 0.597132 | − | 0.619893i | ||||
\(962\) | 31.7388 | − | 30.0064i | 1.02330 | − | 0.967446i | ||||
\(963\) | −52.7451 | − | 97.5791i | −1.69969 | − | 3.14444i | ||||
\(964\) | −0.496324 | + | 53.0813i | −0.0159855 | + | 1.70963i | ||||
\(965\) | −21.8610 | + | 29.6206i | −0.703731 | + | 0.953522i | ||||
\(966\) | −21.0639 | − | 117.320i | −0.677720 | − | 3.77471i | ||||
\(967\) | −14.2864 | − | 12.7671i | −0.459420 | − | 0.410563i | 0.404228 | − | 0.914658i | \(-0.367540\pi\) |
−0.863648 | + | 0.504095i | \(0.831826\pi\) | |||||||
\(968\) | 0.517638 | − | 0.249281i | 0.0166375 | − | 0.00801220i | ||||
\(969\) | −40.4953 | + | 13.9921i | −1.30090 | + | 0.449492i | ||||
\(970\) | −78.5650 | + | 11.8418i | −2.52257 | + | 0.380216i | ||||
\(971\) | −41.3842 | − | 8.63485i | −1.32808 | − | 0.277105i | −0.513968 | − | 0.857809i | \(-0.671825\pi\) |
−0.814115 | + | 0.580704i | \(0.802777\pi\) | |||||||
\(972\) | −5.24246 | − | 50.7922i | −0.168152 | − | 1.62916i | ||||
\(973\) | −31.1250 | + | 19.5571i | −0.997820 | + | 0.626972i | ||||
\(974\) | −2.90324 | − | 13.2916i | −0.0930259 | − | 0.425890i | ||||
\(975\) | 162.224 | − | 45.0975i | 5.19531 | − | 1.44428i | ||||
\(976\) | −12.3922 | + | 1.98650i | −0.396666 | + | 0.0635863i | ||||
\(977\) | −6.45829 | − | 30.9527i | −0.206619 | − | 0.990263i | −0.947777 | − | 0.318933i | \(-0.896676\pi\) |
0.741158 | − | 0.671330i | \(-0.234277\pi\) | |||||||
\(978\) | 13.0135 | + | 23.5462i | 0.416126 | + | 0.752923i | ||||
\(979\) | 40.8432 | − | 9.72484i | 1.30535 | − | 0.310807i | ||||
\(980\) | −16.1100 | + | 0.753688i | −0.514614 | + | 0.0240757i | ||||
\(981\) | 36.7146 | + | 34.7106i | 1.17221 | + | 1.10822i | ||||
\(982\) | −5.63488 | + | 21.0297i | −0.179816 | + | 0.671084i | ||||
\(983\) | −10.6196 | + | 12.1093i | −0.338713 | + | 0.386228i | −0.895972 | − | 0.444111i | \(-0.853520\pi\) |
0.557259 | + | 0.830339i | \(0.311853\pi\) | |||||||
\(984\) | −1.11092 | − | 11.8469i | −0.0354148 | − | 0.377665i | ||||
\(985\) | 26.5625 | + | 33.3083i | 0.846352 | + | 1.06129i | ||||
\(986\) | −34.7559 | + | 27.4949i | −1.10685 | + | 0.875617i | ||||
\(987\) | −42.7263 | − | 20.5759i | −1.35999 | − | 0.654938i | ||||
\(988\) | 19.0478 | + | 45.9856i | 0.605993 | + | 1.46300i | ||||
\(989\) | −38.1443 | + | 9.23719i | −1.21292 | + | 0.293725i | ||||
\(990\) | −135.391 | + | 135.391i | −4.30301 | + | 4.30301i | ||||
\(991\) | −54.4112 | + | 7.68158i | −1.72843 | + | 0.244014i | −0.932447 | − | 0.361307i | \(-0.882331\pi\) |
−0.795982 | + | 0.605321i | \(0.793045\pi\) | |||||||
\(992\) | 15.7927 | − | 1.92911i | 0.501419 | − | 0.0612492i | ||||
\(993\) | −103.792 | + | 8.75476i | −3.29374 | + | 0.277824i | ||||
\(994\) | 53.4946 | + | 44.3220i | 1.69675 | + | 1.40581i | ||||
\(995\) | −15.2365 | + | 11.6914i | −0.483030 | + | 0.370642i | ||||
\(996\) | 22.8656 | + | 1.49869i | 0.724525 | + | 0.0474879i | ||||
\(997\) | −19.5401 | − | 43.6677i | −0.618840 | − | 1.38297i | −0.905256 | − | 0.424866i | \(-0.860321\pi\) |
0.286417 | − | 0.958105i | \(-0.407536\pi\) | |||||||
\(998\) | −75.6552 | + | 35.5661i | −2.39482 | + | 1.12582i | ||||
\(999\) | −1.63866 | − | 43.7940i | −0.0518448 | − | 1.38558i |
(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 | 731.2.bm.a.3.11 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.11 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.11 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.11 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.11 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.11 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.11 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.11 | yes | 6144 | 43.29 | odd | 42 | inner |