Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(2,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bv (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 32.6 | ||
Character | \(\chi\) | \(=\) | 273.32 |
Dual form | 273.2.bv.b.128.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.49865 | − | 1.49865i | −1.05970 | − | 1.05970i | −0.998101 | − | 0.0616028i | \(-0.980379\pi\) |
−0.0616028 | − | 0.998101i | \(-0.519621\pi\) | |||||||
\(3\) | −1.00312 | + | 1.41200i | −0.579152 | + | 0.815220i | ||||
\(4\) | 2.49189i | 1.24594i | ||||||||
\(5\) | 0.189246 | − | 0.706275i | 0.0846333 | − | 0.315856i | −0.910611 | − | 0.413264i | \(-0.864389\pi\) |
0.995244 | + | 0.0974084i | \(0.0310553\pi\) | |||||||
\(6\) | 3.61942 | − | 0.612770i | 1.47762 | − | 0.250162i | ||||
\(7\) | −2.64267 | + | 0.127700i | −0.998835 | + | 0.0482661i | ||||
\(8\) | 0.737165 | − | 0.737165i | 0.260627 | − | 0.260627i | ||||
\(9\) | −0.987501 | − | 2.83282i | −0.329167 | − | 0.944272i | ||||
\(10\) | −1.34207 | + | 0.774844i | −0.424400 | + | 0.245027i | ||||
\(11\) | 3.26458 | + | 0.874742i | 0.984308 | + | 0.263745i | 0.714858 | − | 0.699270i | \(-0.246491\pi\) |
0.269450 | + | 0.963014i | \(0.413158\pi\) | |||||||
\(12\) | −3.51855 | − | 2.49966i | −1.01572 | − | 0.721590i | ||||
\(13\) | 3.48370 | + | 0.929429i | 0.966204 | + | 0.257777i | ||||
\(14\) | 4.15180 | + | 3.76905i | 1.10962 | + | 1.00732i | ||||
\(15\) | 0.807426 | + | 0.975694i | 0.208476 | + | 0.251923i | ||||
\(16\) | 2.77427 | 0.693569 | ||||||||
\(17\) | 4.62710 | 1.12224 | 0.561118 | − | 0.827736i | \(-0.310372\pi\) | ||||
0.561118 | + | 0.827736i | \(0.310372\pi\) | |||||||
\(18\) | −2.76548 | + | 5.72531i | −0.651829 | + | 1.34947i | ||||
\(19\) | −1.69330 | − | 6.31950i | −0.388471 | − | 1.44979i | −0.832623 | − | 0.553841i | \(-0.813162\pi\) |
0.444152 | − | 0.895951i | \(-0.353505\pi\) | |||||||
\(20\) | 1.75996 | + | 0.471579i | 0.393538 | + | 0.105448i | ||||
\(21\) | 2.47060 | − | 3.85955i | 0.539129 | − | 0.842223i | ||||
\(22\) | −3.58153 | − | 6.20338i | −0.763584 | − | 1.32257i | ||||
\(23\) | 1.23779 | 0.258097 | 0.129048 | − | 0.991638i | \(-0.458808\pi\) | ||||
0.129048 | + | 0.991638i | \(0.458808\pi\) | |||||||
\(24\) | 0.301414 | + | 1.78034i | 0.0615258 | + | 0.363411i | ||||
\(25\) | 3.86712 | + | 2.23268i | 0.773423 | + | 0.446536i | ||||
\(26\) | −3.82795 | − | 6.61372i | −0.750723 | − | 1.29706i | ||||
\(27\) | 4.99052 | + | 1.44730i | 0.960427 | + | 0.278533i | ||||
\(28\) | −0.318214 | − | 6.58523i | −0.0601369 | − | 1.24449i | ||||
\(29\) | 0.0742930 | + | 0.0428931i | 0.0137959 | + | 0.00796505i | 0.506882 | − | 0.862015i | \(-0.330798\pi\) |
−0.493086 | + | 0.869980i | \(0.664131\pi\) | |||||||
\(30\) | 0.252175 | − | 2.67227i | 0.0460406 | − | 0.487887i | ||||
\(31\) | −1.75110 | − | 6.53521i | −0.314507 | − | 1.17376i | −0.924447 | − | 0.381310i | \(-0.875473\pi\) |
0.609940 | − | 0.792448i | \(-0.291194\pi\) | |||||||
\(32\) | −5.63199 | − | 5.63199i | −0.995604 | − | 0.995604i | ||||
\(33\) | −4.50990 | + | 3.73212i | −0.785073 | + | 0.649680i | ||||
\(34\) | −6.93438 | − | 6.93438i | −1.18924 | − | 1.18924i | ||||
\(35\) | −0.409922 | + | 1.89062i | −0.0692895 | + | 0.319573i | ||||
\(36\) | 7.05905 | − | 2.46074i | 1.17651 | − | 0.410123i | ||||
\(37\) | 3.78999 | + | 3.78999i | 0.623070 | + | 0.623070i | 0.946315 | − | 0.323245i | \(-0.104774\pi\) |
−0.323245 | + | 0.946315i | \(0.604774\pi\) | |||||||
\(38\) | −6.93303 | + | 12.0084i | −1.12469 | + | 1.94801i | ||||
\(39\) | −4.80692 | + | 3.98666i | −0.769724 | + | 0.638377i | ||||
\(40\) | −0.381136 | − | 0.660146i | −0.0602628 | − | 0.104378i | ||||
\(41\) | 11.3670 | − | 3.04579i | 1.77523 | − | 0.475672i | 0.785532 | − | 0.618821i | \(-0.212389\pi\) |
0.989701 | + | 0.143148i | \(0.0457226\pi\) | |||||||
\(42\) | −9.48666 | + | 2.08155i | −1.46382 | + | 0.321190i | ||||
\(43\) | −7.89663 | + | 4.55912i | −1.20423 | + | 0.695260i | −0.961492 | − | 0.274833i | \(-0.911377\pi\) |
−0.242734 | + | 0.970093i | \(0.578044\pi\) | |||||||
\(44\) | −2.17976 | + | 8.13497i | −0.328611 | + | 1.22639i | ||||
\(45\) | −2.18763 | + | 0.161349i | −0.326112 | + | 0.0240524i | ||||
\(46\) | −1.85501 | − | 1.85501i | −0.273506 | − | 0.273506i | ||||
\(47\) | 1.11118 | + | 0.297740i | 0.162082 | + | 0.0434298i | 0.338948 | − | 0.940805i | \(-0.389929\pi\) |
−0.176865 | + | 0.984235i | \(0.556596\pi\) | |||||||
\(48\) | −2.78293 | + | 3.91728i | −0.401681 | + | 0.565411i | ||||
\(49\) | 6.96739 | − | 0.674939i | 0.995341 | − | 0.0964198i | ||||
\(50\) | −2.44944 | − | 9.14144i | −0.346404 | − | 1.29280i | ||||
\(51\) | −4.64153 | + | 6.53347i | −0.649944 | + | 0.914869i | ||||
\(52\) | −2.31603 | + | 8.68098i | −0.321176 | + | 1.20384i | ||||
\(53\) | −0.966555 | − | 0.558041i | −0.132767 | − | 0.0766528i | 0.432146 | − | 0.901804i | \(-0.357757\pi\) |
−0.564912 | + | 0.825151i | \(0.691090\pi\) | |||||||
\(54\) | −5.31004 | − | 9.64803i | −0.722605 | − | 1.31293i | ||||
\(55\) | 1.23562 | − | 2.14015i | 0.166610 | − | 0.288578i | ||||
\(56\) | −1.85394 | + | 2.04222i | −0.247744 | + | 0.272903i | ||||
\(57\) | 10.6217 | + | 3.94826i | 1.40688 | + | 0.522960i | ||||
\(58\) | −0.0470574 | − | 0.175621i | −0.00617894 | − | 0.0230601i | ||||
\(59\) | 0.0904502 | − | 0.0904502i | 0.0117756 | − | 0.0117756i | −0.701194 | − | 0.712970i | \(-0.747350\pi\) |
0.712970 | + | 0.701194i | \(0.247350\pi\) | |||||||
\(60\) | −2.43132 | + | 2.01201i | −0.313882 | + | 0.259750i | ||||
\(61\) | 0.604519 | − | 1.04706i | 0.0774008 | − | 0.134062i | −0.824727 | − | 0.565531i | \(-0.808671\pi\) |
0.902128 | + | 0.431469i | \(0.142005\pi\) | |||||||
\(62\) | −7.16968 | + | 12.4183i | −0.910551 | + | 1.57712i | ||||
\(63\) | 2.97139 | + | 7.36009i | 0.374360 | + | 0.927284i | ||||
\(64\) | 11.3322i | 1.41652i | ||||||||
\(65\) | 1.31571 | − | 2.28456i | 0.163193 | − | 0.283365i | ||||
\(66\) | 12.3519 | + | 1.16562i | 1.52041 | + | 0.143477i | ||||
\(67\) | 7.33907 | + | 1.96650i | 0.896610 | + | 0.240246i | 0.677560 | − | 0.735468i | \(-0.263038\pi\) |
0.219050 | + | 0.975714i | \(0.429704\pi\) | |||||||
\(68\) | 11.5302i | 1.39824i | ||||||||
\(69\) | −1.24165 | + | 1.74776i | −0.149477 | + | 0.210406i | ||||
\(70\) | 3.44770 | − | 2.21904i | 0.412079 | − | 0.265226i | ||||
\(71\) | −0.179939 | + | 0.671543i | −0.0213549 | + | 0.0796975i | −0.975781 | − | 0.218750i | \(-0.929802\pi\) |
0.954426 | + | 0.298447i | \(0.0964688\pi\) | |||||||
\(72\) | −2.81620 | − | 1.36030i | −0.331893 | − | 0.160313i | ||||
\(73\) | −3.83834 | + | 1.02848i | −0.449244 | + | 0.120374i | −0.476345 | − | 0.879258i | \(-0.658039\pi\) |
0.0271019 | + | 0.999633i | \(0.491372\pi\) | |||||||
\(74\) | − | 11.3597i | − | 1.32054i | ||||||
\(75\) | −7.03173 | + | 3.22073i | −0.811955 | + | 0.371898i | ||||
\(76\) | 15.7475 | − | 4.21952i | 1.80636 | − | 0.484012i | ||||
\(77\) | −8.73891 | − | 1.89476i | −0.995891 | − | 0.215928i | ||||
\(78\) | 13.1785 | + | 1.22928i | 1.49217 | + | 0.139189i | ||||
\(79\) | 7.74974 | + | 13.4229i | 0.871913 | + | 1.51020i | 0.860015 | + | 0.510269i | \(0.170454\pi\) |
0.0118986 | + | 0.999929i | \(0.496212\pi\) | |||||||
\(80\) | 0.525020 | − | 1.95940i | 0.0586990 | − | 0.219068i | ||||
\(81\) | −7.04968 | + | 5.59481i | −0.783298 | + | 0.621646i | ||||
\(82\) | −21.5997 | − | 12.4706i | −2.38529 | − | 1.37715i | ||||
\(83\) | −4.66837 | − | 4.66837i | −0.512420 | − | 0.512420i | 0.402847 | − | 0.915267i | \(-0.368021\pi\) |
−0.915267 | + | 0.402847i | \(0.868021\pi\) | |||||||
\(84\) | 9.61756 | + | 6.15645i | 1.04936 | + | 0.671724i | ||||
\(85\) | 0.875658 | − | 3.26800i | 0.0949785 | − | 0.354464i | ||||
\(86\) | 18.6668 | + | 5.00175i | 2.01289 | + | 0.539353i | ||||
\(87\) | −0.135090 | + | 0.0618750i | −0.0144832 | + | 0.00663369i | ||||
\(88\) | 3.05136 | − | 1.76170i | 0.325276 | − | 0.187798i | ||||
\(89\) | −8.63123 | + | 8.63123i | −0.914909 | + | 0.914909i | −0.996653 | − | 0.0817446i | \(-0.973951\pi\) |
0.0817446 | + | 0.996653i | \(0.473951\pi\) | |||||||
\(90\) | 3.52029 | + | 3.03668i | 0.371071 | + | 0.320094i | ||||
\(91\) | −9.32495 | − | 2.01130i | −0.977520 | − | 0.210842i | ||||
\(92\) | 3.08443i | 0.321574i | ||||||||
\(93\) | 10.9843 | + | 4.08303i | 1.13902 | + | 0.423391i | ||||
\(94\) | −1.21906 | − | 2.11147i | −0.125736 | − | 0.217782i | ||||
\(95\) | −4.78375 | −0.490803 | ||||||||
\(96\) | 13.6019 | − | 2.30282i | 1.38824 | − | 0.235031i | ||||
\(97\) | −7.29693 | − | 1.95521i | −0.740891 | − | 0.198521i | −0.131417 | − | 0.991327i | \(-0.541953\pi\) |
−0.609474 | + | 0.792806i | \(0.708619\pi\) | |||||||
\(98\) | −11.4531 | − | 9.43016i | −1.15694 | − | 0.952590i | ||||
\(99\) | −0.745794 | − | 10.1118i | −0.0749552 | − | 1.01627i | ||||
\(100\) | −5.56359 | + | 9.63642i | −0.556359 | + | 0.963642i | ||||
\(101\) | −6.10473 | − | 10.5737i | −0.607443 | − | 1.05212i | −0.991660 | − | 0.128879i | \(-0.958862\pi\) |
0.384217 | − | 0.923243i | \(-0.374471\pi\) | |||||||
\(102\) | 16.7474 | − | 2.83535i | 1.65824 | − | 0.280741i | ||||
\(103\) | 3.29955 | − | 1.90500i | 0.325115 | − | 0.187705i | −0.328555 | − | 0.944485i | \(-0.606562\pi\) |
0.653670 | + | 0.756780i | \(0.273228\pi\) | |||||||
\(104\) | 3.25320 | − | 1.88292i | 0.319003 | − | 0.184635i | ||||
\(105\) | −2.25835 | − | 2.47533i | −0.220393 | − | 0.241567i | ||||
\(106\) | 0.612219 | + | 2.28483i | 0.0594639 | + | 0.221922i | ||||
\(107\) | 3.64738i | 0.352606i | 0.984336 | + | 0.176303i | \(0.0564138\pi\) | ||||
−0.984336 | + | 0.176303i | \(0.943586\pi\) | |||||||
\(108\) | −3.60651 | + | 12.4358i | −0.347036 | + | 1.19664i | ||||
\(109\) | −1.85970 | − | 6.94049i | −0.178127 | − | 0.664778i | −0.995998 | − | 0.0893768i | \(-0.971512\pi\) |
0.817871 | − | 0.575402i | \(-0.195154\pi\) | |||||||
\(110\) | −5.05908 | + | 1.35558i | −0.482365 | + | 0.129249i | ||||
\(111\) | −9.15328 | + | 1.54966i | −0.868791 | + | 0.147087i | ||||
\(112\) | −7.33148 | + | 0.354275i | −0.692760 | + | 0.0334759i | ||||
\(113\) | 6.52741 | − | 3.76860i | 0.614047 | − | 0.354520i | −0.160501 | − | 0.987036i | \(-0.551311\pi\) |
0.774548 | + | 0.632516i | \(0.217978\pi\) | |||||||
\(114\) | −10.0012 | − | 21.8353i | −0.936696 | − | 2.04506i | ||||
\(115\) | 0.234246 | − | 0.874220i | 0.0218436 | − | 0.0815214i | ||||
\(116\) | −0.106885 | + | 0.185130i | −0.00992399 | + | 0.0171889i | ||||
\(117\) | −0.807256 | − | 10.7865i | −0.0746309 | − | 0.997211i | ||||
\(118\) | −0.271106 | −0.0249573 | ||||||||
\(119\) | −12.2279 | + | 0.590881i | −1.12093 | + | 0.0541660i | ||||
\(120\) | 1.31445 | + | 0.124041i | 0.119993 | + | 0.0113234i | ||||
\(121\) | 0.366036 | + | 0.211331i | 0.0332760 | + | 0.0192119i | ||||
\(122\) | −2.47513 | + | 0.663210i | −0.224088 | + | 0.0600442i | ||||
\(123\) | −7.10184 | + | 19.1056i | −0.640352 | + | 1.72269i | ||||
\(124\) | 16.2850 | − | 4.36355i | 1.46244 | − | 0.391859i | ||||
\(125\) | 4.89387 | − | 4.89387i | 0.437721 | − | 0.437721i | ||||
\(126\) | 6.57711 | − | 15.4832i | 0.585935 | − | 1.37936i | ||||
\(127\) | −5.30192 | − | 3.06106i | −0.470469 | − | 0.271625i | 0.245967 | − | 0.969278i | \(-0.420894\pi\) |
−0.716436 | + | 0.697653i | \(0.754228\pi\) | |||||||
\(128\) | 5.71896 | − | 5.71896i | 0.505489 | − | 0.505489i | ||||
\(129\) | 1.48378 | − | 15.7234i | 0.130639 | − | 1.38437i | ||||
\(130\) | −5.39553 | + | 1.45197i | −0.473219 | + | 0.127346i | ||||
\(131\) | 14.9487 | − | 8.63064i | 1.30607 | − | 0.754062i | 0.324636 | − | 0.945839i | \(-0.394758\pi\) |
0.981439 | + | 0.191777i | \(0.0614250\pi\) | |||||||
\(132\) | −9.30003 | − | 11.2382i | −0.809464 | − | 0.978157i | ||||
\(133\) | 5.28184 | + | 16.4841i | 0.457994 | + | 1.42935i | ||||
\(134\) | −8.05159 | − | 13.9458i | −0.695551 | − | 1.20473i | ||||
\(135\) | 1.96663 | − | 3.25079i | 0.169260 | − | 0.279783i | ||||
\(136\) | 3.41093 | − | 3.41093i | 0.292485 | − | 0.292485i | ||||
\(137\) | 13.9211 | − | 13.9211i | 1.18936 | − | 1.18936i | 0.212120 | − | 0.977244i | \(-0.431963\pi\) |
0.977244 | − | 0.212120i | \(-0.0680369\pi\) | |||||||
\(138\) | 4.48008 | − | 0.758481i | 0.381369 | − | 0.0645662i | ||||
\(139\) | 1.24639 | + | 2.15881i | 0.105717 | + | 0.183108i | 0.914031 | − | 0.405644i | \(-0.132953\pi\) |
−0.808314 | + | 0.588752i | \(0.799620\pi\) | |||||||
\(140\) | −4.71120 | − | 1.02148i | −0.398169 | − | 0.0863308i | ||||
\(141\) | −1.53506 | + | 1.27032i | −0.129275 | + | 0.106980i | ||||
\(142\) | 1.27607 | − | 0.736740i | 0.107086 | − | 0.0618259i | ||||
\(143\) | 10.5598 | + | 6.08153i | 0.883056 | + | 0.508563i | ||||
\(144\) | −2.73960 | − | 7.85901i | −0.228300 | − | 0.654917i | ||||
\(145\) | 0.0443539 | − | 0.0443539i | 0.00368339 | − | 0.00368339i | ||||
\(146\) | 7.29364 | + | 4.21099i | 0.603626 | + | 0.348504i | ||||
\(147\) | −6.03611 | + | 10.5150i | −0.497850 | + | 0.867263i | ||||
\(148\) | −9.44422 | + | 9.44422i | −0.776310 | + | 0.776310i | ||||
\(149\) | 1.63726 | − | 0.438703i | 0.134130 | − | 0.0359400i | −0.191130 | − | 0.981565i | \(-0.561215\pi\) |
0.325259 | + | 0.945625i | \(0.394548\pi\) | |||||||
\(150\) | 15.3648 | + | 5.71135i | 1.25453 | + | 0.466329i | ||||
\(151\) | 0.548192 | − | 0.146888i | 0.0446113 | − | 0.0119536i | −0.236444 | − | 0.971645i | \(-0.575982\pi\) |
0.281056 | + | 0.959691i | \(0.409315\pi\) | |||||||
\(152\) | −5.90675 | − | 3.41027i | −0.479101 | − | 0.276609i | ||||
\(153\) | −4.56926 | − | 13.1077i | −0.369403 | − | 1.05970i | ||||
\(154\) | 10.2570 | + | 15.9361i | 0.826529 | + | 1.28417i | ||||
\(155\) | −4.94704 | −0.397356 | ||||||||
\(156\) | −9.93431 | − | 11.9783i | −0.795382 | − | 0.959032i | ||||
\(157\) | 2.77084 | − | 4.79924i | 0.221137 | − | 0.383021i | −0.734016 | − | 0.679132i | \(-0.762356\pi\) |
0.955154 | + | 0.296111i | \(0.0956898\pi\) | |||||||
\(158\) | 8.50213 | − | 31.7304i | 0.676393 | − | 2.52433i | ||||
\(159\) | 1.75753 | − | 0.804996i | 0.139381 | − | 0.0638403i | ||||
\(160\) | −5.04356 | + | 2.91190i | −0.398729 | + | 0.230206i | ||||
\(161\) | −3.27107 | + | 0.158066i | −0.257796 | + | 0.0124573i | ||||
\(162\) | 18.9496 | + | 2.18034i | 1.48882 | + | 0.171303i | ||||
\(163\) | 3.90119 | − | 1.04532i | 0.305564 | − | 0.0818757i | −0.102779 | − | 0.994704i | \(-0.532773\pi\) |
0.408343 | + | 0.912829i | \(0.366107\pi\) | |||||||
\(164\) | 7.58976 | + | 28.3254i | 0.592661 | + | 2.21184i | ||||
\(165\) | 1.78243 | + | 3.89152i | 0.138762 | + | 0.302954i | ||||
\(166\) | 13.9925i | 1.08603i | ||||||||
\(167\) | −2.07644 | − | 7.74939i | −0.160680 | − | 0.599666i | −0.998552 | − | 0.0537988i | \(-0.982867\pi\) |
0.837872 | − | 0.545867i | \(-0.183800\pi\) | |||||||
\(168\) | −1.02389 | − | 4.66636i | −0.0789945 | − | 0.360018i | ||||
\(169\) | 11.2723 | + | 6.47570i | 0.867102 | + | 0.498131i | ||||
\(170\) | −6.20988 | + | 3.58528i | −0.476276 | + | 0.274978i | ||||
\(171\) | −16.2298 | + | 11.0373i | −1.24113 | + | 0.844045i | ||||
\(172\) | −11.3608 | − | 19.6775i | −0.866254 | − | 1.50040i | ||||
\(173\) | −8.47934 | + | 14.6866i | −0.644672 | + | 1.11660i | 0.339705 | + | 0.940532i | \(0.389673\pi\) |
−0.984377 | + | 0.176073i | \(0.943661\pi\) | |||||||
\(174\) | 0.295181 | + | 0.109723i | 0.0223776 | + | 0.00831811i | ||||
\(175\) | −10.5046 | − | 5.40640i | −0.794075 | − | 0.408686i | ||||
\(176\) | 9.05684 | + | 2.42677i | 0.682685 | + | 0.182925i | ||||
\(177\) | 0.0369835 | + | 0.218448i | 0.00277985 | + | 0.0164196i | ||||
\(178\) | 25.8703 | 1.93906 | ||||||||
\(179\) | 11.0600 | + | 19.1564i | 0.826662 | + | 1.43182i | 0.900643 | + | 0.434560i | \(0.143096\pi\) |
−0.0739812 | + | 0.997260i | \(0.523570\pi\) | |||||||
\(180\) | −0.402063 | − | 5.45132i | −0.0299680 | − | 0.406317i | ||||
\(181\) | 10.2313i | 0.760484i | 0.924887 | + | 0.380242i | \(0.124159\pi\) | ||||
−0.924887 | + | 0.380242i | \(0.875841\pi\) | |||||||
\(182\) | 10.9606 | + | 16.9890i | 0.812452 | + | 1.25931i | ||||
\(183\) | 0.872043 | + | 1.90391i | 0.0644633 | + | 0.140741i | ||||
\(184\) | 0.912455 | − | 0.912455i | 0.0672671 | − | 0.0672671i | ||||
\(185\) | 3.39401 | − | 1.95953i | 0.249533 | − | 0.144068i | ||||
\(186\) | −10.3426 | − | 22.5806i | −0.758353 | − | 1.65569i | ||||
\(187\) | 15.1055 | + | 4.04751i | 1.10463 | + | 0.295984i | ||||
\(188\) | −0.741934 | + | 2.76893i | −0.0541111 | + | 0.201945i | ||||
\(189\) | −13.3731 | − | 3.18744i | −0.972751 | − | 0.231852i | ||||
\(190\) | 7.16916 | + | 7.16916i | 0.520105 | + | 0.520105i | ||||
\(191\) | −18.8520 | − | 10.8842i | −1.36408 | − | 0.787552i | −0.373916 | − | 0.927463i | \(-0.621985\pi\) |
−0.990164 | + | 0.139911i | \(0.955318\pi\) | |||||||
\(192\) | −16.0011 | − | 11.3675i | −1.15478 | − | 0.820381i | ||||
\(193\) | 0.977573 | − | 3.64835i | 0.0703673 | − | 0.262614i | −0.921776 | − | 0.387724i | \(-0.873262\pi\) |
0.992143 | + | 0.125109i | \(0.0399282\pi\) | |||||||
\(194\) | 8.00536 | + | 13.8657i | 0.574752 | + | 0.995499i | ||||
\(195\) | 1.90599 | + | 4.14947i | 0.136491 | + | 0.297150i | ||||
\(196\) | 1.68187 | + | 17.3619i | 0.120134 | + | 1.24014i | ||||
\(197\) | −17.8050 | + | 4.77082i | −1.26855 | + | 0.339907i | −0.829475 | − | 0.558543i | \(-0.811360\pi\) |
−0.439075 | + | 0.898450i | \(0.644694\pi\) | |||||||
\(198\) | −14.0363 | + | 16.2716i | −0.997515 | + | 1.15638i | ||||
\(199\) | − | 25.8677i | − | 1.83371i | −0.399216 | − | 0.916857i | \(-0.630718\pi\) | ||
0.399216 | − | 0.916857i | \(-0.369282\pi\) | |||||||
\(200\) | 4.49655 | − | 1.20485i | 0.317954 | − | 0.0851956i | ||||
\(201\) | −10.1387 | + | 8.39015i | −0.715126 | + | 0.591795i | ||||
\(202\) | −6.69741 | + | 24.9951i | −0.471228 | + | 1.75865i | ||||
\(203\) | −0.201809 | − | 0.103865i | −0.0141642 | − | 0.00728989i | ||||
\(204\) | −16.2807 | − | 11.5662i | −1.13987 | − | 0.809794i | ||||
\(205\) | − | 8.60466i | − | 0.600975i | ||||||
\(206\) | −7.79979 | − | 2.08995i | −0.543437 | − | 0.145613i | ||||
\(207\) | −1.22232 | − | 3.50643i | −0.0849570 | − | 0.243714i | ||||
\(208\) | 9.66474 | + | 2.57849i | 0.670129 | + | 0.178786i | ||||
\(209\) | − | 22.1117i | − | 1.52950i | ||||||
\(210\) | −0.325165 | + | 7.09412i | −0.0224385 | + | 0.489541i | ||||
\(211\) | 7.09306 | − | 12.2855i | 0.488307 | − | 0.845772i | −0.511603 | − | 0.859222i | \(-0.670948\pi\) |
0.999910 | + | 0.0134501i | \(0.00428143\pi\) | |||||||
\(212\) | 1.39057 | − | 2.40855i | 0.0955050 | − | 0.165420i | ||||
\(213\) | −0.767719 | − | 0.927713i | −0.0526033 | − | 0.0635658i | ||||
\(214\) | 5.46614 | − | 5.46614i | 0.373658 | − | 0.373658i | ||||
\(215\) | 1.72559 | + | 6.43999i | 0.117684 | + | 0.439204i | ||||
\(216\) | 4.74574 | − | 2.61194i | 0.322906 | − | 0.177720i | ||||
\(217\) | 5.46213 | + | 17.0468i | 0.370794 | + | 1.15721i | ||||
\(218\) | −7.61431 | + | 13.1884i | −0.515706 | + | 0.893230i | ||||
\(219\) | 2.39810 | − | 6.45143i | 0.162048 | − | 0.435947i | ||||
\(220\) | 5.33301 | + | 3.07902i | 0.359552 | + | 0.207587i | ||||
\(221\) | 16.1194 | + | 4.30056i | 1.08431 | + | 0.289287i | ||||
\(222\) | 16.0399 | + | 11.3951i | 1.07653 | + | 0.764792i | ||||
\(223\) | 2.87666 | + | 10.7358i | 0.192635 | + | 0.718924i | 0.992866 | + | 0.119233i | \(0.0380434\pi\) |
−0.800231 | + | 0.599692i | \(0.795290\pi\) | |||||||
\(224\) | 15.6027 | + | 14.1643i | 1.04250 | + | 0.946390i | ||||
\(225\) | 2.50599 | − | 13.1596i | 0.167066 | − | 0.877307i | ||||
\(226\) | −15.4301 | − | 4.13448i | −1.02639 | − | 0.275021i | ||||
\(227\) | −1.40183 | − | 1.40183i | −0.0930428 | − | 0.0930428i | 0.659053 | − | 0.752096i | \(-0.270957\pi\) |
−0.752096 | + | 0.659053i | \(0.770957\pi\) | |||||||
\(228\) | −9.83863 | + | 26.4681i | −0.651579 | + | 1.75290i | ||||
\(229\) | −3.92459 | + | 14.6468i | −0.259344 | + | 0.967885i | 0.706278 | + | 0.707934i | \(0.250373\pi\) |
−0.965622 | + | 0.259950i | \(0.916294\pi\) | |||||||
\(230\) | −1.66120 | + | 0.959094i | −0.109536 | + | 0.0632408i | ||||
\(231\) | 11.4416 | − | 10.4387i | 0.752801 | − | 0.686815i | ||||
\(232\) | 0.0863854 | − | 0.0231469i | 0.00567148 | − | 0.00151967i | ||||
\(233\) | −10.4655 | − | 18.1268i | −0.685619 | − | 1.18753i | −0.973242 | − | 0.229783i | \(-0.926198\pi\) |
0.287623 | − | 0.957744i | \(-0.407135\pi\) | |||||||
\(234\) | −14.9553 | + | 17.3749i | −0.977662 | + | 1.13583i | ||||
\(235\) | 0.420572 | − | 0.728452i | 0.0274351 | − | 0.0475190i | ||||
\(236\) | 0.225392 | + | 0.225392i | 0.0146717 | + | 0.0146717i | ||||
\(237\) | −26.7271 | − | 2.52217i | −1.73611 | − | 0.163833i | ||||
\(238\) | 19.2108 | + | 17.4397i | 1.24525 | + | 1.13045i | ||||
\(239\) | 15.0244 | + | 15.0244i | 0.971849 | + | 0.971849i | 0.999614 | − | 0.0277652i | \(-0.00883906\pi\) |
−0.0277652 | + | 0.999614i | \(0.508839\pi\) | |||||||
\(240\) | 2.24002 | + | 2.70684i | 0.144593 | + | 0.174726i | ||||
\(241\) | −5.83002 | − | 5.83002i | −0.375545 | − | 0.375545i | 0.493947 | − | 0.869492i | \(-0.335554\pi\) |
−0.869492 | + | 0.493947i | \(0.835554\pi\) | |||||||
\(242\) | −0.231849 | − | 0.865270i | −0.0149038 | − | 0.0556217i | ||||
\(243\) | −0.828212 | − | 15.5664i | −0.0531298 | − | 0.998588i | ||||
\(244\) | 2.60915 | + | 1.50639i | 0.167034 | + | 0.0964370i | ||||
\(245\) | 0.841856 | − | 5.04862i | 0.0537842 | − | 0.322544i | ||||
\(246\) | 39.2757 | − | 17.9894i | 2.50413 | − | 1.14696i | ||||
\(247\) | −0.0254408 | − | 23.5890i | −0.00161876 | − | 1.50093i | ||||
\(248\) | −6.10837 | − | 3.52667i | −0.387882 | − | 0.223944i | ||||
\(249\) | 11.2747 | − | 1.90881i | 0.714504 | − | 0.120966i | ||||
\(250\) | −14.6684 | −0.927709 | ||||||||
\(251\) | 9.58699 | + | 16.6052i | 0.605126 | + | 1.04811i | 0.992032 | + | 0.125989i | \(0.0402105\pi\) |
−0.386906 | + | 0.922119i | \(0.626456\pi\) | |||||||
\(252\) | −18.3405 | + | 7.40436i | −1.15534 | + | 0.466431i | ||||
\(253\) | 4.04086 | + | 1.08275i | 0.254047 | + | 0.0680717i | ||||
\(254\) | 3.35825 | + | 12.5332i | 0.210715 | + | 0.786400i | ||||
\(255\) | 3.73603 | + | 4.51463i | 0.233960 | + | 0.282717i | ||||
\(256\) | 5.52295 | 0.345184 | ||||||||
\(257\) | 6.33686 | 0.395283 | 0.197641 | − | 0.980274i | \(-0.436672\pi\) | ||||
0.197641 | + | 0.980274i | \(0.436672\pi\) | |||||||
\(258\) | −25.7875 | + | 21.3402i | −1.60546 | + | 1.32858i | ||||
\(259\) | −10.4997 | − | 9.53169i | −0.652417 | − | 0.592271i | ||||
\(260\) | 5.69286 | + | 3.27859i | 0.353056 | + | 0.203330i | ||||
\(261\) | 0.0481438 | − | 0.252815i | 0.00298003 | − | 0.0156489i | ||||
\(262\) | −35.3371 | − | 9.46855i | −2.18313 | − | 0.584969i | ||||
\(263\) | −21.0813 | + | 12.1713i | −1.29993 | + | 0.750514i | −0.980392 | − | 0.197060i | \(-0.936861\pi\) |
−0.319537 | + | 0.947574i | \(0.603527\pi\) | |||||||
\(264\) | −0.573351 | + | 6.07573i | −0.0352873 | + | 0.373935i | ||||
\(265\) | −0.577047 | + | 0.577047i | −0.0354477 | + | 0.0354477i | ||||
\(266\) | 16.7882 | − | 32.6195i | 1.02935 | − | 2.00003i | ||||
\(267\) | −3.52916 | − | 20.8455i | −0.215981 | − | 1.27572i | ||||
\(268\) | −4.90029 | + | 18.2881i | −0.299333 | + | 1.11712i | ||||
\(269\) | 10.9722i | 0.668985i | 0.942398 | + | 0.334493i | \(0.108565\pi\) | ||||
−0.942398 | + | 0.334493i | \(0.891435\pi\) | |||||||
\(270\) | −7.81906 | + | 1.92450i | −0.475853 | + | 0.117121i | ||||
\(271\) | −5.74281 | − | 5.74281i | −0.348851 | − | 0.348851i | 0.510831 | − | 0.859681i | \(-0.329338\pi\) |
−0.859681 | + | 0.510831i | \(0.829338\pi\) | |||||||
\(272\) | 12.8368 | 0.778347 | ||||||||
\(273\) | 12.1940 | − | 11.1493i | 0.738015 | − | 0.674785i | ||||
\(274\) | −41.7258 | −2.52075 | ||||||||
\(275\) | 10.6715 | + | 10.6715i | 0.643515 | + | 0.643515i | ||||
\(276\) | −4.35522 | − | 3.09405i | −0.262154 | − | 0.186240i | ||||
\(277\) | 0.443387i | 0.0266406i | 0.999911 | + | 0.0133203i | \(0.00424010\pi\) | ||||
−0.999911 | + | 0.0133203i | \(0.995760\pi\) | |||||||
\(278\) | 1.36739 | − | 5.10318i | 0.0820108 | − | 0.306069i | ||||
\(279\) | −16.7838 | + | 11.4141i | −1.00482 | + | 0.683343i | ||||
\(280\) | 1.09152 | + | 1.69588i | 0.0652305 | + | 0.101348i | ||||
\(281\) | −9.34921 | + | 9.34921i | −0.557727 | + | 0.557727i | −0.928660 | − | 0.370933i | \(-0.879038\pi\) |
0.370933 | + | 0.928660i | \(0.379038\pi\) | |||||||
\(282\) | 4.20427 | + | 0.396746i | 0.250361 | + | 0.0236259i | ||||
\(283\) | −8.16911 | + | 4.71644i | −0.485603 | + | 0.280363i | −0.722749 | − | 0.691111i | \(-0.757122\pi\) |
0.237145 | + | 0.971474i | \(0.423788\pi\) | |||||||
\(284\) | −1.67341 | − | 0.448389i | −0.0992985 | − | 0.0266070i | ||||
\(285\) | 4.79868 | − | 6.75467i | 0.284249 | − | 0.400112i | ||||
\(286\) | −6.71136 | − | 24.9395i | −0.396851 | − | 1.47470i | ||||
\(287\) | −29.6504 | + | 9.50058i | −1.75021 | + | 0.560802i | ||||
\(288\) | −10.3928 | + | 21.5160i | −0.612401 | + | 1.26784i | ||||
\(289\) | 4.41001 | 0.259412 | ||||||||
\(290\) | −0.132942 | −0.00780661 | ||||||||
\(291\) | 10.0805 | − | 8.34198i | 0.590927 | − | 0.489015i | ||||
\(292\) | −2.56285 | − | 9.56470i | −0.149980 | − | 0.559732i | ||||
\(293\) | −3.23244 | − | 0.866128i | −0.188841 | − | 0.0505998i | 0.163159 | − | 0.986600i | \(-0.447832\pi\) |
−0.352000 | + | 0.936000i | \(0.614498\pi\) | |||||||
\(294\) | 24.8043 | − | 6.71229i | 1.44662 | − | 0.391469i | ||||
\(295\) | −0.0467654 | − | 0.0810000i | −0.00272279 | − | 0.00471600i | ||||
\(296\) | 5.58769 | 0.324778 | ||||||||
\(297\) | 15.0260 | + | 9.09025i | 0.871894 | + | 0.527470i | ||||
\(298\) | −3.11114 | − | 1.79622i | −0.180223 | − | 0.104052i | ||||
\(299\) | 4.31209 | + | 1.15044i | 0.249374 | + | 0.0665315i | ||||
\(300\) | −8.02570 | − | 17.5223i | −0.463364 | − | 1.01165i | ||||
\(301\) | 20.2860 | − | 13.0567i | 1.16926 | − | 0.752573i | ||||
\(302\) | −1.04168 | − | 0.601414i | −0.0599419 | − | 0.0346075i | ||||
\(303\) | 21.0539 | + | 1.98680i | 1.20951 | + | 0.114139i | ||||
\(304\) | −4.69769 | − | 17.5320i | −0.269431 | − | 1.00553i | ||||
\(305\) | −0.625108 | − | 0.625108i | −0.0357936 | − | 0.0357936i | ||||
\(306\) | −12.7961 | + | 26.4915i | −0.731505 | + | 1.51442i | ||||
\(307\) | 3.71140 | + | 3.71140i | 0.211821 | + | 0.211821i | 0.805041 | − | 0.593220i | \(-0.202143\pi\) |
−0.593220 | + | 0.805041i | \(0.702143\pi\) | |||||||
\(308\) | 4.72154 | − | 21.7764i | 0.269035 | − | 1.24082i | ||||
\(309\) | −0.619986 | + | 6.56992i | −0.0352698 | + | 0.373750i | ||||
\(310\) | 7.41387 | + | 7.41387i | 0.421080 | + | 0.421080i | ||||
\(311\) | −7.27077 | + | 12.5933i | −0.412288 | + | 0.714103i | −0.995140 | − | 0.0984752i | \(-0.968603\pi\) |
0.582852 | + | 0.812578i | \(0.301937\pi\) | |||||||
\(312\) | −0.604667 | + | 6.48232i | −0.0342325 | + | 0.366989i | ||||
\(313\) | −5.16579 | − | 8.94742i | −0.291988 | − | 0.505738i | 0.682292 | − | 0.731080i | \(-0.260983\pi\) |
−0.974280 | + | 0.225342i | \(0.927650\pi\) | |||||||
\(314\) | −11.3449 | + | 3.03985i | −0.640228 | + | 0.171549i | ||||
\(315\) | 5.76057 | − | 0.705751i | 0.324571 | − | 0.0397646i | ||||
\(316\) | −33.4484 | + | 19.3115i | −1.88162 | + | 1.08635i | ||||
\(317\) | −6.76020 | + | 25.2294i | −0.379691 | + | 1.41703i | 0.466678 | + | 0.884428i | \(0.345451\pi\) |
−0.846368 | + | 0.532598i | \(0.821216\pi\) | |||||||
\(318\) | −3.84032 | − | 1.42751i | −0.215354 | − | 0.0800505i | ||||
\(319\) | 0.205015 | + | 0.205015i | 0.0114786 | + | 0.0114786i | ||||
\(320\) | 8.00363 | + | 2.14457i | 0.447417 | + | 0.119885i | ||||
\(321\) | −5.15011 | − | 3.65876i | −0.287451 | − | 0.204212i | ||||
\(322\) | 5.13906 | + | 4.66529i | 0.286389 | + | 0.259986i | ||||
\(323\) | −7.83508 | − | 29.2409i | −0.435955 | − | 1.62701i | ||||
\(324\) | −13.9416 | − | 17.5670i | −0.774536 | − | 0.975945i | ||||
\(325\) | 11.3968 | + | 11.3722i | 0.632178 | + | 0.630816i | ||||
\(326\) | −7.41307 | − | 4.27994i | −0.410572 | − | 0.237044i | ||||
\(327\) | 11.6655 | + | 4.33624i | 0.645103 | + | 0.239795i | ||||
\(328\) | 6.13413 | − | 10.6246i | 0.338701 | − | 0.586647i | ||||
\(329\) | −2.97450 | − | 0.644929i | −0.163990 | − | 0.0355561i | ||||
\(330\) | 3.16079 | − | 8.50324i | 0.173996 | − | 0.468088i | ||||
\(331\) | 1.17988 | + | 4.40338i | 0.0648523 | + | 0.242032i | 0.990741 | − | 0.135764i | \(-0.0433488\pi\) |
−0.925889 | + | 0.377796i | \(0.876682\pi\) | |||||||
\(332\) | 11.6331 | − | 11.6331i | 0.638447 | − | 0.638447i | ||||
\(333\) | 6.99372 | − | 14.4789i | 0.383253 | − | 0.793441i | ||||
\(334\) | −8.50175 | + | 14.7255i | −0.465195 | + | 0.805741i | ||||
\(335\) | 2.77777 | − | 4.81125i | 0.151766 | − | 0.262867i | ||||
\(336\) | 6.85412 | − | 10.7075i | 0.373923 | − | 0.584139i | ||||
\(337\) | − | 23.2811i | − | 1.26820i | −0.773250 | − | 0.634102i | \(-0.781370\pi\) | ||
0.773250 | − | 0.634102i | \(-0.218630\pi\) | |||||||
\(338\) | −7.18845 | − | 26.5980i | −0.391000 | − | 1.44674i | ||||
\(339\) | −1.22650 | + | 12.9971i | −0.0666143 | + | 0.705904i | ||||
\(340\) | 8.14349 | + | 2.18204i | 0.441643 | + | 0.118338i | ||||
\(341\) | − | 22.8665i | − | 1.23829i | ||||||
\(342\) | 40.8638 | + | 7.78173i | 2.20966 | + | 0.420788i | ||||
\(343\) | −18.3263 | + | 2.67337i | −0.989527 | + | 0.144349i | ||||
\(344\) | −2.46029 | + | 9.18194i | −0.132650 | + | 0.495057i | ||||
\(345\) | 0.999423 | + | 1.20770i | 0.0538071 | + | 0.0650206i | ||||
\(346\) | 34.7176 | − | 9.30256i | 1.86643 | − | 0.500109i | ||||
\(347\) | 20.6263i | 1.10728i | 0.832757 | + | 0.553639i | \(0.186761\pi\) | ||||
−0.832757 | + | 0.553639i | \(0.813239\pi\) | |||||||
\(348\) | −0.154185 | − | 0.336629i | −0.00826521 | − | 0.0180452i | ||||
\(349\) | 17.9128 | − | 4.79971i | 0.958849 | − | 0.256923i | 0.254736 | − | 0.967011i | \(-0.418011\pi\) |
0.704113 | + | 0.710088i | \(0.251345\pi\) | |||||||
\(350\) | 7.64043 | + | 23.8450i | 0.408398 | + | 1.27457i | ||||
\(351\) | 16.0403 | + | 9.68029i | 0.856169 | + | 0.516696i | ||||
\(352\) | −13.4595 | − | 23.3126i | −0.717396 | − | 1.24257i | ||||
\(353\) | 6.48087 | − | 24.1869i | 0.344942 | − | 1.28734i | −0.547738 | − | 0.836650i | \(-0.684511\pi\) |
0.892680 | − | 0.450691i | \(-0.148822\pi\) | |||||||
\(354\) | 0.271952 | − | 0.382802i | 0.0144541 | − | 0.0203457i | ||||
\(355\) | 0.440241 | + | 0.254173i | 0.0233656 | + | 0.0134901i | ||||
\(356\) | −21.5081 | − | 21.5081i | −1.13992 | − | 1.13992i | ||||
\(357\) | 11.4317 | − | 17.8585i | 0.605030 | − | 0.945173i | ||||
\(358\) | 12.1337 | − | 45.2838i | 0.641288 | − | 2.39332i | ||||
\(359\) | 5.13386 | + | 1.37561i | 0.270955 | + | 0.0726021i | 0.391738 | − | 0.920077i | \(-0.371874\pi\) |
−0.120783 | + | 0.992679i | \(0.538541\pi\) | |||||||
\(360\) | −1.49370 | + | 1.73158i | −0.0787249 | + | 0.0912624i | ||||
\(361\) | −20.6143 | + | 11.9017i | −1.08496 | + | 0.626403i | ||||
\(362\) | 15.3331 | − | 15.3331i | 0.805887 | − | 0.805887i | ||||
\(363\) | −0.665579 | + | 0.304854i | −0.0349338 | + | 0.0160007i | ||||
\(364\) | 5.01194 | − | 23.2367i | 0.262697 | − | 1.21793i | ||||
\(365\) | 2.90556i | 0.152084i | ||||||||
\(366\) | 1.54640 | − | 4.16017i | 0.0808317 | − | 0.217456i | ||||
\(367\) | 3.04387 | + | 5.27213i | 0.158889 | + | 0.275203i | 0.934468 | − | 0.356047i | \(-0.115876\pi\) |
−0.775580 | + | 0.631250i | \(0.782542\pi\) | |||||||
\(368\) | 3.43397 | 0.179008 | ||||||||
\(369\) | −19.8531 | − | 29.1930i | −1.03351 | − | 1.51973i | ||||
\(370\) | −8.02308 | − | 2.14978i | −0.417100 | − | 0.111762i | ||||
\(371\) | 2.62555 | + | 1.35129i | 0.136312 | + | 0.0701553i | ||||
\(372\) | −10.1745 | + | 27.3716i | −0.527521 | + | 1.41915i | ||||
\(373\) | −4.52998 | + | 7.84616i | −0.234553 | + | 0.406259i | −0.959143 | − | 0.282922i | \(-0.908696\pi\) |
0.724589 | + | 0.689181i | \(0.242029\pi\) | |||||||
\(374\) | −16.5721 | − | 28.7037i | −0.856921 | − | 1.48423i | ||||
\(375\) | 2.00102 | + | 11.8193i | 0.103332 | + | 0.610345i | ||||
\(376\) | 1.03861 | − | 0.599639i | 0.0535620 | − | 0.0309240i | ||||
\(377\) | 0.218948 | + | 0.218477i | 0.0112764 | + | 0.0112521i | ||||
\(378\) | 15.2647 | + | 24.8184i | 0.785133 | + | 1.27652i | ||||
\(379\) | 8.65669 | + | 32.3072i | 0.444664 | + | 1.65951i | 0.716822 | + | 0.697256i | \(0.245596\pi\) |
−0.272158 | + | 0.962253i | \(0.587737\pi\) | |||||||
\(380\) | − | 11.9206i | − | 0.611512i | ||||||
\(381\) | 9.64068 | − | 4.41570i | 0.493907 | − | 0.226223i | ||||
\(382\) | 11.9409 | + | 44.5640i | 0.610949 | + | 2.28009i | ||||
\(383\) | −32.7748 | + | 8.78199i | −1.67471 | + | 0.448738i | −0.966376 | − | 0.257134i | \(-0.917222\pi\) |
−0.708339 | + | 0.705872i | \(0.750555\pi\) | |||||||
\(384\) | 2.33838 | + | 13.8120i | 0.119330 | + | 0.704840i | ||||
\(385\) | −2.99203 | + | 5.81349i | −0.152488 | + | 0.296283i | ||||
\(386\) | −6.93263 | + | 4.00256i | −0.352862 | + | 0.203725i | ||||
\(387\) | 20.7131 | + | 17.8676i | 1.05291 | + | 0.908260i | ||||
\(388\) | 4.87216 | − | 18.1831i | 0.247346 | − | 0.923109i | ||||
\(389\) | −10.6989 | + | 18.5310i | −0.542455 | + | 0.939559i | 0.456308 | + | 0.889822i | \(0.349172\pi\) |
−0.998762 | + | 0.0497371i | \(0.984162\pi\) | |||||||
\(390\) | 3.36218 | − | 9.07500i | 0.170251 | − | 0.459530i | ||||
\(391\) | 5.72737 | 0.289646 | ||||||||
\(392\) | 4.63857 | − | 5.63365i | 0.234283 | − | 0.284542i | ||||
\(393\) | −2.80886 | + | 29.7652i | −0.141688 | + | 1.50145i | ||||
\(394\) | 33.8331 | + | 19.5336i | 1.70449 | + | 0.984087i | ||||
\(395\) | 10.9469 | − | 2.93321i | 0.550798 | − | 0.147586i | ||||
\(396\) | 25.1974 | − | 1.85844i | 1.26622 | − | 0.0933899i | ||||
\(397\) | 16.7692 | − | 4.49328i | 0.841620 | − | 0.225511i | 0.187843 | − | 0.982199i | \(-0.439850\pi\) |
0.653777 | + | 0.756688i | \(0.273184\pi\) | |||||||
\(398\) | −38.7666 | + | 38.7666i | −1.94319 | + | 1.94319i | ||||
\(399\) | −28.5739 | − | 9.07755i | −1.43048 | − | 0.454446i | ||||
\(400\) | 10.7284 | + | 6.19407i | 0.536422 | + | 0.309703i | ||||
\(401\) | −11.4524 | + | 11.4524i | −0.571905 | + | 0.571905i | −0.932660 | − | 0.360755i | \(-0.882519\pi\) |
0.360755 | + | 0.932660i | \(0.382519\pi\) | |||||||
\(402\) | 27.7681 | + | 2.62041i | 1.38495 | + | 0.130694i | ||||
\(403\) | −0.0263092 | − | 24.3942i | −0.00131055 | − | 1.21516i | ||||
\(404\) | 26.3484 | − | 15.2123i | 1.31088 | − | 0.756839i | ||||
\(405\) | 2.61735 | + | 6.03781i | 0.130057 | + | 0.300021i | ||||
\(406\) | 0.146784 | + | 0.458098i | 0.00728476 | + | 0.0227350i | ||||
\(407\) | 9.05746 | + | 15.6880i | 0.448962 | + | 0.777624i | ||||
\(408\) | 1.39467 | + | 8.23781i | 0.0690464 | + | 0.407833i | ||||
\(409\) | −20.9626 | + | 20.9626i | −1.03653 | + | 1.03653i | −0.0372265 | + | 0.999307i | \(0.511852\pi\) |
−0.999307 | + | 0.0372265i | \(0.988148\pi\) | |||||||
\(410\) | −12.8953 | + | 12.8953i | −0.636856 | + | 0.636856i | ||||
\(411\) | 5.69211 | + | 33.6213i | 0.280771 | + | 1.65841i | ||||
\(412\) | 4.74704 | + | 8.22211i | 0.233870 | + | 0.405075i | ||||
\(413\) | −0.227479 | + | 0.250580i | −0.0111935 | + | 0.0123303i | ||||
\(414\) | −3.42308 | + | 7.08672i | −0.168235 | + | 0.348294i | ||||
\(415\) | −4.18062 | + | 2.41368i | −0.205219 | + | 0.118483i | ||||
\(416\) | −14.3856 | − | 24.8547i | −0.705313 | − | 1.21860i | ||||
\(417\) | −4.29852 | − | 0.405640i | −0.210499 | − | 0.0198643i | ||||
\(418\) | −33.1377 | + | 33.1377i | −1.62082 | + | 1.62082i | ||||
\(419\) | 6.66420 | + | 3.84758i | 0.325567 | + | 0.187966i | 0.653871 | − | 0.756606i | \(-0.273144\pi\) |
−0.328304 | + | 0.944572i | \(0.606477\pi\) | |||||||
\(420\) | 6.16823 | − | 5.62756i | 0.300979 | − | 0.274597i | ||||
\(421\) | −18.0124 | + | 18.0124i | −0.877871 | + | 0.877871i | −0.993314 | − | 0.115443i | \(-0.963171\pi\) |
0.115443 | + | 0.993314i | \(0.463171\pi\) | |||||||
\(422\) | −29.0417 | + | 7.78170i | −1.41373 | + | 0.378807i | ||||
\(423\) | −0.253849 | − | 3.44179i | −0.0123426 | − | 0.167345i | ||||
\(424\) | −1.12388 | + | 0.301142i | −0.0545803 | + | 0.0146248i | ||||
\(425\) | 17.8935 | + | 10.3308i | 0.867963 | + | 0.501119i | ||||
\(426\) | −0.239774 | + | 2.54085i | −0.0116171 | + | 0.123105i | ||||
\(427\) | −1.46383 | + | 2.84422i | −0.0708399 | + | 0.137642i | ||||
\(428\) | −9.08887 | −0.439327 | ||||||||
\(429\) | −19.1799 | + | 8.80997i | −0.926014 | + | 0.425349i | ||||
\(430\) | 7.06522 | − | 12.2373i | 0.340715 | − | 0.590136i | ||||
\(431\) | 6.35822 | − | 23.7292i | 0.306265 | − | 1.14299i | −0.625587 | − | 0.780155i | \(-0.715140\pi\) |
0.931851 | − | 0.362840i | \(-0.118193\pi\) | |||||||
\(432\) | 13.8451 | + | 4.01521i | 0.666122 | + | 0.193182i | ||||
\(433\) | 29.7044 | − | 17.1498i | 1.42750 | − | 0.824168i | 0.430577 | − | 0.902554i | \(-0.358310\pi\) |
0.996923 | + | 0.0783862i | \(0.0249767\pi\) | |||||||
\(434\) | 17.3613 | − | 33.7329i | 0.833368 | − | 1.61923i | ||||
\(435\) | 0.0181355 | + | 0.107120i | 0.000869533 | + | 0.00513602i | ||||
\(436\) | 17.2949 | − | 4.63416i | 0.828276 | − | 0.221936i | ||||
\(437\) | −2.09595 | − | 7.82221i | −0.100263 | − | 0.374187i | ||||
\(438\) | −13.2623 | + | 6.07452i | −0.633698 | + | 0.290252i | ||||
\(439\) | − | 17.0630i | − | 0.814370i | −0.913346 | − | 0.407185i | \(-0.866510\pi\) | ||
0.913346 | − | 0.407185i | \(-0.133490\pi\) | |||||||
\(440\) | −0.666790 | − | 2.48850i | −0.0317880 | − | 0.118634i | ||||
\(441\) | −8.79227 | − | 19.0708i | −0.418680 | − | 0.908134i | ||||
\(442\) | −17.7123 | − | 30.6023i | −0.842488 | − | 1.45560i | ||||
\(443\) | 14.6489 | − | 8.45757i | 0.695992 | − | 0.401831i | −0.109861 | − | 0.993947i | \(-0.535041\pi\) |
0.805853 | + | 0.592116i | \(0.201707\pi\) | |||||||
\(444\) | −3.86157 | − | 22.8089i | −0.183262 | − | 1.08246i | ||||
\(445\) | 4.46260 | + | 7.72945i | 0.211547 | + | 0.366411i | ||||
\(446\) | 11.7781 | − | 20.4003i | 0.557710 | − | 0.965983i | ||||
\(447\) | −1.02292 | + | 2.75189i | −0.0483825 | + | 0.130160i | ||||
\(448\) | −1.44712 | − | 29.9472i | −0.0683701 | − | 1.41487i | ||||
\(449\) | 5.19161 | + | 1.39109i | 0.245007 | + | 0.0656495i | 0.379233 | − | 0.925301i | \(-0.376188\pi\) |
−0.134226 | + | 0.990951i | \(0.542855\pi\) | |||||||
\(450\) | −23.4772 | + | 15.9660i | −1.10673 | + | 0.752645i | ||||
\(451\) | 39.7729 | 1.87283 | ||||||||
\(452\) | 9.39092 | + | 16.2656i | 0.441712 | + | 0.765067i | ||||
\(453\) | −0.342497 | + | 0.921395i | −0.0160919 | + | 0.0432909i | ||||
\(454\) | 4.20170i | 0.197196i | ||||||||
\(455\) | −3.18524 | + | 6.20535i | −0.149326 | + | 0.290911i | ||||
\(456\) | 10.7405 | − | 4.91944i | 0.502969 | − | 0.230374i | ||||
\(457\) | 16.7676 | − | 16.7676i | 0.784354 | − | 0.784354i | −0.196208 | − | 0.980562i | \(-0.562863\pi\) |
0.980562 | + | 0.196208i | \(0.0628628\pi\) | |||||||
\(458\) | 27.8319 | − | 16.0687i | 1.30050 | − | 0.750843i | ||||
\(459\) | 23.0916 | + | 6.69679i | 1.07782 | + | 0.312580i | ||||
\(460\) | 2.17846 | + | 0.583716i | 0.101571 | + | 0.0272159i | ||||
\(461\) | 8.82574 | − | 32.9381i | 0.411056 | − | 1.53408i | −0.381551 | − | 0.924348i | \(-0.624610\pi\) |
0.792607 | − | 0.609733i | \(-0.208723\pi\) | |||||||
\(462\) | −32.7908 | − | 1.50300i | −1.52557 | − | 0.0699257i | ||||
\(463\) | −17.8769 | − | 17.8769i | −0.830809 | − | 0.830809i | 0.156819 | − | 0.987627i | \(-0.449876\pi\) |
−0.987627 | + | 0.156819i | \(0.949876\pi\) | |||||||
\(464\) | 0.206109 | + | 0.118997i | 0.00956838 | + | 0.00552430i | ||||
\(465\) | 4.96248 | − | 6.98523i | 0.230129 | − | 0.323932i | ||||
\(466\) | −11.4816 | + | 42.8498i | −0.531874 | + | 1.98498i | ||||
\(467\) | 2.68938 | + | 4.65814i | 0.124450 | + | 0.215553i | 0.921518 | − | 0.388336i | \(-0.126950\pi\) |
−0.797068 | + | 0.603889i | \(0.793617\pi\) | |||||||
\(468\) | 26.8787 | − | 2.01159i | 1.24247 | − | 0.0929858i | ||||
\(469\) | −19.6458 | − | 4.25960i | −0.907160 | − | 0.196690i | ||||
\(470\) | −1.72198 | + | 0.461404i | −0.0794291 | + | 0.0212830i | ||||
\(471\) | 3.99705 | + | 8.72664i | 0.184174 | + | 0.402103i | ||||
\(472\) | − | 0.133353i | − | 0.00613809i | ||||||
\(473\) | −29.7673 | + | 7.97611i | −1.36870 | + | 0.366742i | ||||
\(474\) | 36.2747 | + | 43.8344i | 1.66615 | + | 2.01338i | ||||
\(475\) | 7.56122 | − | 28.2188i | 0.346932 | − | 1.29477i | ||||
\(476\) | −1.47241 | − | 30.4705i | −0.0674877 | − | 1.39661i | ||||
\(477\) | −0.626353 | + | 3.28914i | −0.0286787 | + | 0.150599i | ||||
\(478\) | − | 45.0326i | − | 2.05974i | ||||||
\(479\) | −39.8136 | − | 10.6680i | −1.81913 | − | 0.487435i | −0.822449 | − | 0.568838i | \(-0.807393\pi\) |
−0.996681 | + | 0.0814037i | \(0.974060\pi\) | |||||||
\(480\) | 0.947685 | − | 10.0425i | 0.0432557 | − | 0.458376i | ||||
\(481\) | 9.68065 | + | 16.7257i | 0.441400 | + | 0.762626i | ||||
\(482\) | 17.4743i | 0.795932i | ||||||||
\(483\) | 3.05808 | − | 4.77731i | 0.139148 | − | 0.217375i | ||||
\(484\) | −0.526614 | + | 0.912121i | −0.0239370 | + | 0.0414601i | ||||
\(485\) | −2.76183 | + | 4.78363i | −0.125408 | + | 0.217213i | ||||
\(486\) | −22.0874 | + | 24.5698i | −1.00190 | + | 1.11451i | ||||
\(487\) | −21.7024 | + | 21.7024i | −0.983428 | + | 0.983428i | −0.999865 | − | 0.0164372i | \(-0.994768\pi\) |
0.0164372 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(488\) | −0.326224 | − | 1.21748i | −0.0147675 | − | 0.0551129i | ||||
\(489\) | −2.43736 | + | 6.55706i | −0.110221 | + | 0.296521i | ||||
\(490\) | −8.82774 | + | 6.30445i | −0.398797 | + | 0.284806i | ||||
\(491\) | 6.96387 | − | 12.0618i | 0.314275 | − | 0.544340i | −0.665008 | − | 0.746836i | \(-0.731572\pi\) |
0.979283 | + | 0.202496i | \(0.0649053\pi\) | |||||||
\(492\) | −47.6089 | − | 17.6970i | −2.14638 | − | 0.797842i | ||||
\(493\) | 0.343761 | + | 0.198470i | 0.0154822 | + | 0.00893866i | ||||
\(494\) | −35.3135 | + | 35.3898i | −1.58883 | + | 1.59226i | ||||
\(495\) | −7.28282 | − | 1.38687i | −0.327339 | − | 0.0623353i | ||||
\(496\) | −4.85804 | − | 18.1305i | −0.218132 | − | 0.814082i | ||||
\(497\) | 0.389764 | − | 1.79764i | 0.0174833 | − | 0.0806353i | ||||
\(498\) | −19.7574 | − | 14.0361i | −0.885351 | − | 0.628974i | ||||
\(499\) | 0.520510 | + | 0.139470i | 0.0233012 | + | 0.00624355i | 0.270451 | − | 0.962734i | \(-0.412827\pi\) |
−0.247150 | + | 0.968977i | \(0.579494\pi\) | |||||||
\(500\) | 12.1950 | + | 12.1950i | 0.545375 | + | 0.545375i | ||||
\(501\) | 13.0251 | + | 4.84163i | 0.581917 | + | 0.216308i | ||||
\(502\) | 10.5178 | − | 39.2528i | 0.469430 | − | 1.75194i | ||||
\(503\) | 5.22046 | − | 3.01403i | 0.232769 | − | 0.134389i | −0.379080 | − | 0.925364i | \(-0.623759\pi\) |
0.611849 | + | 0.790975i | \(0.290426\pi\) | |||||||
\(504\) | 7.61600 | + | 3.23519i | 0.339243 | + | 0.144107i | ||||
\(505\) | −8.62323 | + | 2.31059i | −0.383729 | + | 0.102820i | ||||
\(506\) | −4.43318 | − | 7.67849i | −0.197079 | − | 0.341350i | ||||
\(507\) | −20.4512 | + | 9.42064i | −0.908270 | + | 0.418385i | ||||
\(508\) | 7.62782 | − | 13.2118i | 0.338430 | − | 0.586178i | ||||
\(509\) | 5.82687 | + | 5.82687i | 0.258272 | + | 0.258272i | 0.824351 | − | 0.566079i | \(-0.191540\pi\) |
−0.566079 | + | 0.824351i | \(0.691540\pi\) | |||||||
\(510\) | 1.16684 | − | 12.3648i | 0.0516684 | − | 0.547524i | ||||
\(511\) | 10.0121 | − | 3.20809i | 0.442910 | − | 0.141917i | ||||
\(512\) | −19.7149 | − | 19.7149i | −0.871282 | − | 0.871282i | ||||
\(513\) | 0.695734 | − | 33.9883i | 0.0307174 | − | 1.50062i | ||||
\(514\) | −9.49672 | − | 9.49672i | −0.418882 | − | 0.418882i | ||||
\(515\) | −0.721026 | − | 2.69091i | −0.0317722 | − | 0.118575i | ||||
\(516\) | 39.1810 | + | 3.69741i | 1.72485 | + | 0.162769i | ||||
\(517\) | 3.36709 | + | 1.94399i | 0.148084 | + | 0.0854966i | ||||
\(518\) | 1.45064 | + | 30.0199i | 0.0637373 | + | 1.31900i | ||||
\(519\) | −12.2318 | − | 26.7053i | −0.536915 | − | 1.17223i | ||||
\(520\) | −0.714203 | − | 2.65399i | −0.0313199 | − | 0.116385i | ||||
\(521\) | 1.69103 | + | 0.976318i | 0.0740855 | + | 0.0427733i | 0.536585 | − | 0.843846i | \(-0.319714\pi\) |
−0.462500 | + | 0.886619i | \(0.653047\pi\) | |||||||
\(522\) | −0.451031 | + | 0.306730i | −0.0197411 | + | 0.0134252i | ||||
\(523\) | −20.1558 | −0.881350 | −0.440675 | − | 0.897667i | \(-0.645261\pi\) | ||||
−0.440675 | + | 0.897667i | \(0.645261\pi\) | |||||||
\(524\) | 21.5066 | + | 37.2505i | 0.939519 | + | 1.62729i | ||||
\(525\) | 18.1712 | − | 9.40928i | 0.793058 | − | 0.410654i | ||||
\(526\) | 49.8339 | + | 13.3530i | 2.17286 | + | 0.582217i | ||||
\(527\) | −8.10252 | − | 30.2390i | −0.352951 | − | 1.31723i | ||||
\(528\) | −12.5117 | + | 10.3539i | −0.544502 | + | 0.450597i | ||||
\(529\) | −21.4679 | −0.933386 | ||||||||
\(530\) | 1.72958 | 0.0751281 | ||||||||
\(531\) | −0.345548 | − | 0.166909i | −0.0149955 | − | 0.00724324i | ||||
\(532\) | −41.0765 | + | 13.1617i | −1.78089 | + | 0.570634i | ||||
\(533\) | 42.4302 | − | 0.0457610i | 1.83786 | − | 0.00198213i | ||||
\(534\) | −25.9511 | + | 36.5290i | −1.12301 | + | 1.58076i | ||||
\(535\) | 2.57606 | + | 0.690252i | 0.111373 | + | 0.0298422i | ||||
\(536\) | 6.85973 | − | 3.96047i | 0.296295 | − | 0.171066i | ||||
\(537\) | −38.1434 | − | 3.59950i | −1.64601 | − | 0.155330i | ||||
\(538\) | 16.4434 | − | 16.4434i | 0.708926 | − | 0.708926i | ||||
\(539\) | 23.3360 | + | 3.89127i | 1.00515 | + | 0.167609i | ||||
\(540\) | 8.10059 | + | 4.90061i | 0.348594 | + | 0.210889i | ||||
\(541\) | −9.27497 | + | 34.6146i | −0.398762 | + | 1.48820i | 0.416515 | + | 0.909129i | \(0.363251\pi\) |
−0.815277 | + | 0.579071i | \(0.803415\pi\) | |||||||
\(542\) | 17.2129i | 0.739357i | ||||||||
\(543\) | −14.4466 | − | 10.2632i | −0.619962 | − | 0.440435i | ||||
\(544\) | −26.0597 | − | 26.0597i | −1.11730 | − | 1.11730i | ||||
\(545\) | −5.25383 | −0.225050 | ||||||||
\(546\) | −34.9833 | − | 1.56569i | −1.49715 | − | 0.0670052i | ||||
\(547\) | −32.5673 | −1.39248 | −0.696238 | − | 0.717811i | \(-0.745144\pi\) | ||||
−0.696238 | + | 0.717811i | \(0.745144\pi\) | |||||||
\(548\) | 34.6899 | + | 34.6899i | 1.48188 | + | 1.48188i | ||||
\(549\) | −3.56309 | − | 0.678521i | −0.152069 | − | 0.0289586i | ||||
\(550\) | − | 31.9856i | − | 1.36387i | ||||||
\(551\) | 0.145262 | − | 0.542125i | 0.00618837 | − | 0.0230953i | ||||
\(552\) | 0.373087 | + | 2.20369i | 0.0158796 | + | 0.0937953i | ||||
\(553\) | −22.1941 | − | 34.4827i | −0.943789 | − | 1.46635i | ||||
\(554\) | 0.664481 | − | 0.664481i | 0.0282311 | − | 0.0282311i | ||||
\(555\) | −0.637735 | + | 6.75800i | −0.0270703 | + | 0.286861i | ||||
\(556\) | −5.37950 | + | 3.10586i | −0.228142 | + | 0.131718i | ||||
\(557\) | 23.3051 | + | 6.24457i | 0.987467 | + | 0.264591i | 0.716186 | − | 0.697909i | \(-0.245886\pi\) |
0.271281 | + | 0.962500i | \(0.412553\pi\) | |||||||
\(558\) | 42.2587 | + | 8.04735i | 1.78895 | + | 0.340672i | ||||
\(559\) | −31.7469 | + | 8.54326i | −1.34275 | + | 0.361341i | ||||
\(560\) | −1.13724 | + | 5.24509i | −0.0480570 | + | 0.221645i | ||||
\(561\) | −20.8678 | + | 17.2689i | −0.881037 | + | 0.729093i | ||||
\(562\) | 28.0223 | 1.18205 | ||||||||
\(563\) | 21.6650 | 0.913072 | 0.456536 | − | 0.889705i | \(-0.349090\pi\) | ||||
0.456536 | + | 0.889705i | \(0.349090\pi\) | |||||||
\(564\) | −3.16549 | − | 3.82518i | −0.133291 | − | 0.161069i | ||||
\(565\) | −1.42638 | − | 5.32334i | −0.0600084 | − | 0.223954i | ||||
\(566\) | 19.3109 | + | 5.17434i | 0.811697 | + | 0.217494i | ||||
\(567\) | 17.9155 | − | 15.6855i | 0.752381 | − | 0.658728i | ||||
\(568\) | 0.362393 | + | 0.627683i | 0.0152057 | + | 0.0263370i | ||||
\(569\) | 8.89470 | 0.372885 | 0.186443 | − | 0.982466i | \(-0.440304\pi\) | ||||
0.186443 | + | 0.982466i | \(0.440304\pi\) | |||||||
\(570\) | −17.3144 | + | 2.93134i | −0.725220 | + | 0.122780i | ||||
\(571\) | −2.58932 | − | 1.49495i | −0.108360 | − | 0.0625616i | 0.444841 | − | 0.895610i | \(-0.353260\pi\) |
−0.553200 | + | 0.833048i | \(0.686594\pi\) | |||||||
\(572\) | −15.1545 | + | 26.3138i | −0.633641 | + | 1.10024i | ||||
\(573\) | 34.2793 | − | 15.7009i | 1.43204 | − | 0.655913i | ||||
\(574\) | 58.6735 | + | 30.1974i | 2.44898 | + | 1.26042i | ||||
\(575\) | 4.78668 | + | 2.76359i | 0.199618 | + | 0.115250i | ||||
\(576\) | 32.1020 | − | 11.1905i | 1.33758 | − | 0.466272i | ||||
\(577\) | 7.00616 | + | 26.1473i | 0.291670 | + | 1.08853i | 0.943826 | + | 0.330443i | \(0.107198\pi\) |
−0.652156 | + | 0.758085i | \(0.726135\pi\) | |||||||
\(578\) | −6.60905 | − | 6.60905i | −0.274900 | − | 0.274900i | ||||
\(579\) | 4.17086 | + | 5.04007i | 0.173335 | + | 0.209458i | ||||
\(580\) | 0.110525 | + | 0.110525i | 0.00458930 | + | 0.00458930i | ||||
\(581\) | 12.9331 | + | 11.7408i | 0.536556 | + | 0.487091i | ||||
\(582\) | −27.6087 | − | 2.60536i | −1.14442 | − | 0.107996i | ||||
\(583\) | −2.66726 | − | 2.66726i | −0.110466 | − | 0.110466i | ||||
\(584\) | −2.07133 | + | 3.58765i | −0.0857122 | + | 0.148458i | ||||
\(585\) | −7.77100 | − | 1.47115i | −0.321291 | − | 0.0608247i | ||||
\(586\) | 3.54626 | + | 6.14230i | 0.146495 | + | 0.253736i | ||||
\(587\) | −11.3759 | + | 3.04816i | −0.469534 | + | 0.125811i | −0.485825 | − | 0.874056i | \(-0.661481\pi\) |
0.0162914 | + | 0.999867i | \(0.494814\pi\) | |||||||
\(588\) | −26.2022 | − | 15.0413i | −1.08056 | − | 0.620293i | ||||
\(589\) | −38.3341 | + | 22.1322i | −1.57953 | + | 0.911941i | ||||
\(590\) | −0.0513057 | + | 0.191475i | −0.00211222 | + | 0.00788291i | ||||
\(591\) | 11.1241 | − | 29.9263i | 0.457584 | − | 1.23101i | ||||
\(592\) | 10.5145 | + | 10.5145i | 0.432142 | + | 0.432142i | ||||
\(593\) | −30.4230 | − | 8.15183i | −1.24932 | − | 0.334756i | −0.427249 | − | 0.904134i | \(-0.640517\pi\) |
−0.822076 | + | 0.569378i | \(0.807184\pi\) | |||||||
\(594\) | −8.89553 | − | 36.1417i | −0.364988 | − | 1.48291i | ||||
\(595\) | −1.89675 | + | 8.74806i | −0.0777591 | + | 0.358636i | ||||
\(596\) | 1.09320 | + | 4.07987i | 0.0447792 | + | 0.167118i | ||||
\(597\) | 36.5253 | + | 25.9484i | 1.49488 | + | 1.06200i | ||||
\(598\) | −4.73820 | − | 8.18640i | −0.193759 | − | 0.334767i | ||||
\(599\) | 38.0326 | + | 21.9581i | 1.55397 | + | 0.897185i | 0.997813 | + | 0.0661072i | \(0.0210579\pi\) |
0.556157 | + | 0.831077i | \(0.312275\pi\) | |||||||
\(600\) | −2.80934 | + | 7.55775i | −0.114691 | + | 0.308544i | ||||
\(601\) | −3.50137 | + | 6.06455i | −0.142824 | + | 0.247378i | −0.928559 | − | 0.371185i | \(-0.878952\pi\) |
0.785735 | + | 0.618563i | \(0.212285\pi\) | |||||||
\(602\) | −49.9688 | − | 10.8342i | −2.03658 | − | 0.441570i | ||||
\(603\) | −1.67661 | − | 22.7321i | −0.0682769 | − | 0.925724i | ||||
\(604\) | 0.366028 | + | 1.36603i | 0.0148935 | + | 0.0555831i | ||||
\(605\) | 0.218529 | − | 0.218529i | 0.00888446 | − | 0.00888446i | ||||
\(606\) | −28.5748 | − | 34.5298i | −1.16077 | − | 1.40268i | ||||
\(607\) | −4.12251 | + | 7.14039i | −0.167327 | + | 0.289819i | −0.937479 | − | 0.348041i | \(-0.886847\pi\) |
0.770152 | + | 0.637860i | \(0.220180\pi\) | |||||||
\(608\) | −26.0547 | + | 45.1280i | −1.05666 | + | 1.83018i | ||||
\(609\) | 0.349096 | − | 0.180766i | 0.0141461 | − | 0.00732501i | ||||
\(610\) | 1.87363i | 0.0758612i | ||||||||
\(611\) | 3.59429 | + | 2.07000i | 0.145409 | + | 0.0837432i | ||||
\(612\) | 32.6629 | − | 11.3861i | 1.32032 | − | 0.460255i | ||||
\(613\) | −41.7472 | − | 11.1861i | −1.68615 | − | 0.451803i | −0.716760 | − | 0.697320i | \(-0.754376\pi\) |
−0.969392 | + | 0.245516i | \(0.921042\pi\) | |||||||
\(614\) | − | 11.1242i | − | 0.448935i | ||||||
\(615\) | 12.1498 | + | 8.63150i | 0.489927 | + | 0.348056i | ||||
\(616\) | −7.83877 | + | 5.04526i | −0.315833 | + | 0.203279i | ||||
\(617\) | −11.1128 | + | 41.4737i | −0.447386 | + | 1.66967i | 0.262173 | + | 0.965021i | \(0.415561\pi\) |
−0.709559 | + | 0.704646i | \(0.751106\pi\) | |||||||
\(618\) | 10.7751 | − | 8.91685i | 0.433439 | − | 0.358688i | ||||
\(619\) | −17.5737 | + | 4.70885i | −0.706345 | + | 0.189265i | −0.594071 | − | 0.804413i | \(-0.702480\pi\) |
−0.112274 | + | 0.993677i | \(0.535814\pi\) | |||||||
\(620\) | − | 12.3275i | − | 0.495083i | ||||||
\(621\) | 6.17722 | + | 1.79145i | 0.247883 | + | 0.0718885i | ||||
\(622\) | 29.7693 | − | 7.97666i | 1.19364 | − | 0.319835i | ||||
\(623\) | 21.7073 | − | 23.9117i | 0.869683 | − | 0.958002i | ||||
\(624\) | −13.3357 | + | 11.0601i | −0.533856 | + | 0.442758i | ||||
\(625\) | 8.63313 | + | 14.9530i | 0.345325 | + | 0.598121i | ||||
\(626\) | −5.66732 | + | 21.1507i | −0.226512 | + | 0.845353i | ||||
\(627\) | 31.2218 | + | 22.1807i | 1.24688 | + | 0.885812i | ||||
\(628\) | 11.9592 | + | 6.90462i | 0.477222 | + | 0.275524i | ||||
\(629\) | 17.5366 | + | 17.5366i | 0.699231 | + | 0.699231i | ||||
\(630\) | −9.69073 | − | 7.57538i | −0.386088 | − | 0.301811i | ||||
\(631\) | −5.81585 | + | 21.7050i | −0.231525 | + | 0.864064i | 0.748159 | + | 0.663519i | \(0.230938\pi\) |
−0.979684 | + | 0.200545i | \(0.935729\pi\) | |||||||
\(632\) | 15.6077 | + | 4.18208i | 0.620843 | + | 0.166354i | ||||
\(633\) | 10.2320 | + | 22.3393i | 0.406687 | + | 0.887907i | ||||
\(634\) | 47.9412 | − | 27.6788i | 1.90399 | − | 1.09927i | ||||
\(635\) | −3.16532 | + | 3.16532i | −0.125612 | + | 0.125612i | ||||
\(636\) | 2.00596 | + | 4.37955i | 0.0795414 | + | 0.173661i | ||||
\(637\) | 24.8996 | + | 4.12440i | 0.986557 | + | 0.163415i | ||||
\(638\) | − | 0.614491i | − | 0.0243279i | ||||||
\(639\) | 2.08005 | − | 0.153414i | 0.0822854 | − | 0.00606897i | ||||
\(640\) | −2.95687 | − | 5.12145i | −0.116880 | − | 0.202443i | ||||
\(641\) | −17.8697 | −0.705813 | −0.352906 | − | 0.935659i | \(-0.614807\pi\) | ||||
−0.352906 | + | 0.935659i | \(0.614807\pi\) | |||||||
\(642\) | 2.23501 | + | 13.2014i | 0.0882088 | + | 0.521018i | ||||
\(643\) | 13.6671 | + | 3.66210i | 0.538979 | + | 0.144419i | 0.518031 | − | 0.855362i | \(-0.326665\pi\) |
0.0209476 | + | 0.999781i | \(0.493332\pi\) | |||||||
\(644\) | −0.393883 | − | 8.15113i | −0.0155211 | − | 0.321199i | ||||
\(645\) | −10.8243 | − | 4.02355i | −0.426205 | − | 0.158427i | ||||
\(646\) | −32.0798 | + | 55.5638i | −1.26216 | + | 2.18613i | ||||
\(647\) | −7.12070 | − | 12.3334i | −0.279943 | − | 0.484876i | 0.691427 | − | 0.722446i | \(-0.256982\pi\) |
−0.971370 | + | 0.237570i | \(0.923649\pi\) | |||||||
\(648\) | −1.07248 | + | 9.32108i | −0.0421309 | + | 0.366166i | ||||
\(649\) | 0.374403 | − | 0.216161i | 0.0146966 | − | 0.00848508i | ||||
\(650\) | −0.0368013 | − | 34.1226i | −0.00144347 | − | 1.33840i | ||||
\(651\) | −29.5492 | − | 9.38741i | −1.15813 | − | 0.367921i | ||||
\(652\) | 2.60482 | + | 9.72131i | 0.102013 | + | 0.380716i | ||||
\(653\) | − | 22.1580i | − | 0.867110i | −0.901127 | − | 0.433555i | \(-0.857259\pi\) | ||
0.901127 | − | 0.433555i | \(-0.142741\pi\) | |||||||
\(654\) | −10.9839 | − | 23.9810i | −0.429506 | − | 0.937729i | ||||
\(655\) | −3.26662 | − | 12.1912i | −0.127638 | − | 0.476350i | ||||
\(656\) | 31.5353 | − | 8.44985i | 1.23125 | − | 0.329911i | ||||
\(657\) | 6.70385 | + | 9.85768i | 0.261542 | + | 0.384585i | ||||
\(658\) | 3.49121 | + | 5.42425i | 0.136101 | + | 0.211459i | ||||
\(659\) | 5.24635 | − | 3.02898i | 0.204369 | − | 0.117992i | −0.394323 | − | 0.918972i | \(-0.629021\pi\) |
0.598692 | + | 0.800980i | \(0.295687\pi\) | |||||||
\(660\) | −9.69723 | + | 4.44160i | −0.377464 | + | 0.172889i | ||||
\(661\) | −4.00469 | + | 14.9457i | −0.155764 | + | 0.581320i | 0.843274 | + | 0.537483i | \(0.180625\pi\) |
−0.999039 | + | 0.0438368i | \(0.986042\pi\) | |||||||
\(662\) | 4.83089 | − | 8.36735i | 0.187758 | − | 0.325206i | ||||
\(663\) | −22.2421 | + | 18.4467i | −0.863811 | + | 0.716409i | ||||
\(664\) | −6.88272 | −0.267101 | ||||||||
\(665\) | 12.6419 | − | 0.610886i | 0.490231 | − | 0.0236892i | ||||
\(666\) | −32.1799 | + | 11.2177i | −1.24695 | + | 0.434678i | ||||
\(667\) | 0.0919591 | + | 0.0530926i | 0.00356067 | + | 0.00205575i | ||||
\(668\) | 19.3106 | − | 5.17426i | 0.747150 | − | 0.200198i | ||||
\(669\) | −18.0446 | − | 6.70748i | −0.697646 | − | 0.259326i | ||||
\(670\) | −11.3733 | + | 3.04746i | −0.439388 | + | 0.117734i | ||||
\(671\) | 2.88941 | − | 2.88941i | 0.111544 | − | 0.111544i | ||||
\(672\) | −35.6513 | + | 7.82256i | −1.37528 | + | 0.301762i | ||||
\(673\) | 28.9412 | + | 16.7092i | 1.11560 | + | 0.644092i | 0.940274 | − | 0.340418i | \(-0.110569\pi\) |
0.175327 | + | 0.984510i | \(0.443902\pi\) | |||||||
\(674\) | −34.8902 | + | 34.8902i | −1.34392 | + | 1.34392i | ||||
\(675\) | 16.0676 | + | 16.7391i | 0.618441 | + | 0.644289i | ||||
\(676\) | −16.1367 | + | 28.0894i | −0.620643 | + | 1.08036i | ||||
\(677\) | −8.18026 | + | 4.72287i | −0.314393 | + | 0.181515i | −0.648891 | − | 0.760882i | \(-0.724767\pi\) |
0.334498 | + | 0.942397i | \(0.391433\pi\) | |||||||
\(678\) | 21.3161 | − | 17.6399i | 0.818640 | − | 0.677458i | ||||
\(679\) | 19.5330 | + | 4.23514i | 0.749610 | + | 0.162530i | ||||
\(680\) | −1.76355 | − | 3.05456i | −0.0676291 | − | 0.117137i | ||||
\(681\) | 3.38559 | − | 0.573184i | 0.129736 | − | 0.0219645i | ||||
\(682\) | −34.2688 | + | 34.2688i | −1.31222 | + | 1.31222i | ||||
\(683\) | −11.3328 | + | 11.3328i | −0.433636 | + | 0.433636i | −0.889863 | − | 0.456227i | \(-0.849200\pi\) |
0.456227 | + | 0.889863i | \(0.349200\pi\) | |||||||
\(684\) | −27.5038 | − | 40.4429i | −1.05163 | − | 1.54637i | ||||
\(685\) | −7.19764 | − | 12.4667i | −0.275008 | − | 0.476327i | ||||
\(686\) | 31.4711 | + | 23.4582i | 1.20157 | + | 0.895638i | ||||
\(687\) | −16.7444 | − | 20.2340i | −0.638839 | − | 0.771974i | ||||
\(688\) | −21.9074 | + | 12.6483i | −0.835213 | + | 0.482210i | ||||
\(689\) | −2.84853 | − | 2.84239i | −0.108520 | − | 0.108286i | ||||
\(690\) | 0.312140 | − | 3.30770i | 0.0118829 | − | 0.125922i | ||||
\(691\) | −5.69907 | + | 5.69907i | −0.216803 | + | 0.216803i | −0.807150 | − | 0.590347i | \(-0.798991\pi\) |
0.590347 | + | 0.807150i | \(0.298991\pi\) | |||||||
\(692\) | −36.5974 | − | 21.1295i | −1.39123 | − | 0.803225i | ||||
\(693\) | 3.26216 | + | 26.6268i | 0.123919 | + | 1.01147i | ||||
\(694\) | 30.9116 | − | 30.9116i | 1.17339 | − | 1.17339i | ||||
\(695\) | 1.76058 | − | 0.471747i | 0.0667828 | − | 0.0178944i | ||||
\(696\) | −0.0539715 | + | 0.145196i | −0.00204578 | + | 0.00550362i | ||||
\(697\) | 52.5964 | − | 14.0932i | 1.99223 | − | 0.533816i | ||||
\(698\) | −34.0380 | − | 19.6519i | −1.28836 | − | 0.743834i | ||||
\(699\) | 36.0933 | + | 3.40603i | 1.36517 | + | 0.128828i | ||||
\(700\) | 13.4721 | − | 26.1763i | 0.509199 | − | 0.989372i | ||||
\(701\) | −26.0188 | −0.982718 | −0.491359 | − | 0.870957i | \(-0.663500\pi\) | ||||
−0.491359 | + | 0.870957i | \(0.663500\pi\) | |||||||
\(702\) | −9.53144 | − | 38.5461i | −0.359741 | − | 1.45483i | ||||
\(703\) | 17.5332 | − | 30.3684i | 0.661277 | − | 1.14537i | ||||
\(704\) | −9.91273 | + | 36.9948i | −0.373600 | + | 1.39429i | ||||
\(705\) | 0.606692 | + | 1.32457i | 0.0228493 | + | 0.0498863i | ||||
\(706\) | −45.9602 | + | 26.5351i | −1.72974 | + | 0.998663i | ||||
\(707\) | 17.4830 | + | 27.1632i | 0.657517 | + | 1.02158i | ||||
\(708\) | −0.544348 | + | 0.0921587i | −0.0204579 | + | 0.00346354i | ||||
\(709\) | −21.5867 | + | 5.78414i | −0.810705 | + | 0.217228i | −0.640279 | − | 0.768143i | \(-0.721181\pi\) |
−0.170427 | + | 0.985370i | \(0.554515\pi\) | |||||||
\(710\) | −0.278850 | − | 1.04068i | −0.0104651 | − | 0.0390561i | ||||
\(711\) | 30.3718 | − | 35.2087i | 1.13903 | − | 1.32043i | ||||
\(712\) | 12.7253i | 0.476900i | ||||||||
\(713\) | −2.16750 | − | 8.08921i | −0.0811734 | − | 0.302943i | ||||
\(714\) | −43.8957 | + | 9.63152i | −1.64275 | + | 0.360451i | ||||
\(715\) | 6.29363 | − | 6.30722i | 0.235369 | − | 0.235877i | ||||
\(716\) | −47.7357 | + | 27.5602i | −1.78397 | + | 1.02997i | ||||
\(717\) | −36.2858 | + | 6.14322i | −1.35512 | + | 0.229423i | ||||
\(718\) | −5.63229 | − | 9.75540i | −0.210195 | − | 0.364068i | ||||
\(719\) | 17.7947 | − | 30.8213i | 0.663631 | − | 1.14944i | −0.316024 | − | 0.948751i | \(-0.602348\pi\) |
0.979655 | − | 0.200691i | \(-0.0643187\pi\) | |||||||
\(720\) | −6.06908 | + | 0.447625i | −0.226181 | + | 0.0166820i | ||||
\(721\) | −8.47636 | + | 5.45563i | −0.315676 | + | 0.203178i | ||||
\(722\) | 48.7299 | + | 13.0571i | 1.81354 | + | 0.485936i | ||||
\(723\) | 14.0802 | − | 2.38379i | 0.523649 | − | 0.0886542i | ||||
\(724\) | −25.4951 | −0.947520 | ||||||||
\(725\) | 0.191533 | + | 0.331745i | 0.00711336 | + | 0.0123207i | ||||
\(726\) | 1.45434 | + | 0.540599i | 0.0539755 | + | 0.0200635i | ||||
\(727\) | 21.5268i | 0.798387i | 0.916867 | + | 0.399193i | \(0.130710\pi\) | ||||
−0.916867 | + | 0.399193i | \(0.869290\pi\) | |||||||
\(728\) | −8.35668 | + | 5.39136i | −0.309719 | + | 0.199817i | ||||
\(729\) | 22.8106 | + | 14.4456i | 0.844839 | + | 0.535021i | ||||
\(730\) | 4.35441 | − | 4.35441i | 0.161164 | − | 0.161164i | ||||
\(731\) | −36.5385 | + | 21.0955i | −1.35142 | + | 0.780245i | ||||
\(732\) | −4.74432 | + | 2.17303i | −0.175355 | + | 0.0803176i | ||||
\(733\) | 13.4259 | + | 3.59745i | 0.495895 | + | 0.132875i | 0.498094 | − | 0.867123i | \(-0.334033\pi\) |
−0.00219907 | + | 0.999998i | \(0.500700\pi\) | |||||||
\(734\) | 3.33938 | − | 12.4627i | 0.123259 | − | 0.460008i | ||||
\(735\) | 6.28418 | + | 6.25307i | 0.231795 | + | 0.230648i | ||||
\(736\) | −6.97122 | − | 6.97122i | −0.256962 | − | 0.256962i | ||||
\(737\) | 22.2388 | + | 12.8396i | 0.819177 | + | 0.472952i | ||||
\(738\) | −13.9972 | + | 73.5028i | −0.515244 | + | 2.70568i | ||||
\(739\) | 13.0058 | − | 48.5383i | 0.478426 | − | 1.78551i | −0.129571 | − | 0.991570i | \(-0.541360\pi\) |
0.607997 | − | 0.793940i | \(-0.291973\pi\) | |||||||
\(740\) | 4.88294 | + | 8.45749i | 0.179500 | + | 0.310904i | ||||
\(741\) | 33.3333 | + | 23.6267i | 1.22453 | + | 0.867949i | ||||
\(742\) | −1.90966 | − | 5.95987i | −0.0701060 | − | 0.218794i | ||||
\(743\) | −11.1097 | + | 2.97684i | −0.407575 | + | 0.109209i | −0.456781 | − | 0.889579i | \(-0.650998\pi\) |
0.0492056 | + | 0.998789i | \(0.484331\pi\) | |||||||
\(744\) | 11.1071 | − | 5.08736i | 0.407206 | − | 0.186512i | ||||
\(745\) | − | 1.23938i | − | 0.0454074i | ||||||
\(746\) | 18.5475 | − | 4.96978i | 0.679071 | − | 0.181956i | ||||
\(747\) | −8.61461 | + | 17.8347i | −0.315192 | + | 0.652536i | ||||
\(748\) | −10.0859 | + | 37.6413i | −0.368779 | + | 1.37630i | ||||
\(749\) | −0.465772 | − | 9.63882i | −0.0170189 | − | 0.352195i | ||||
\(750\) | 14.7141 | − | 20.7118i | 0.537284 | − | 0.756287i | ||||
\(751\) | 6.28993i | 0.229523i | 0.993393 | + | 0.114761i | \(0.0366104\pi\) | ||||
−0.993393 | + | 0.114761i | \(0.963390\pi\) | |||||||
\(752\) | 3.08272 | + | 0.826012i | 0.112415 | + | 0.0301215i | ||||
\(753\) | −33.0634 | − | 3.12011i | −1.20490 | − | 0.113703i | ||||
\(754\) | −0.000707007 | − | 0.655546i | −2.57477e−5 | − | 0.0238736i | ||||
\(755\) | − | 0.414972i | − | 0.0151024i | ||||||
\(756\) | 7.94274 | − | 33.3243i | 0.288875 | − | 1.21199i | ||||
\(757\) | 6.93177 | − | 12.0062i | 0.251940 | − | 0.436372i | −0.712120 | − | 0.702058i | \(-0.752265\pi\) |
0.964060 | + | 0.265685i | \(0.0855982\pi\) | |||||||
\(758\) | 35.4438 | − | 61.3904i | 1.28738 | − | 2.22980i | ||||
\(759\) | −5.58231 | + | 4.61959i | −0.202625 | + | 0.167680i | ||||
\(760\) | −3.52641 | + | 3.52641i | −0.127916 | + | 0.127916i | ||||
\(761\) | 2.48344 | + | 9.26831i | 0.0900245 | + | 0.335976i | 0.996218 | − | 0.0868868i | \(-0.0276919\pi\) |
−0.906194 | + | 0.422863i | \(0.861025\pi\) | |||||||
\(762\) | −21.0656 | − | 7.83040i | −0.763125 | − | 0.283665i | ||||
\(763\) | 5.80087 | + | 18.1039i | 0.210006 | + | 0.655406i | ||||
\(764\) | 27.1222 | − | 46.9770i | 0.981245 | − | 1.69957i | ||||
\(765\) | −10.1224 | + | 0.746576i | −0.365975 | + | 0.0269925i | ||||
\(766\) | 62.2790 | + | 35.9568i | 2.25023 | + | 1.29917i | ||||
\(767\) | 0.399168 | − | 0.231034i | 0.0144131 | − | 0.00834217i | ||||
\(768\) | −5.54018 | + | 7.79842i | −0.199914 | + | 0.281401i | ||||
\(769\) | −4.78937 | − | 17.8742i | −0.172709 | − | 0.644559i | −0.996931 | − | 0.0782915i | \(-0.975054\pi\) |
0.824221 | − | 0.566268i | \(-0.191613\pi\) | |||||||
\(770\) | 13.1964 | − | 4.22839i | 0.475564 | − | 0.152380i | ||||
\(771\) | −6.35663 | + | 8.94766i | −0.228929 | + | 0.322242i | ||||
\(772\) | 9.09128 | + | 2.43600i | 0.327202 | + | 0.0876736i | ||||
\(773\) | 26.8965 | + | 26.8965i | 0.967401 | + | 0.967401i | 0.999485 | − | 0.0320840i | \(-0.0102144\pi\) |
−0.0320840 | + | 0.999485i | \(0.510214\pi\) | |||||||
\(774\) | −4.26443 | − | 57.8188i | −0.153282 | − | 2.07825i | ||||
\(775\) | 7.81931 | − | 29.1821i | 0.280878 | − | 1.04825i | ||||
\(776\) | −6.82035 | + | 3.93773i | −0.244836 | + | 0.141356i | ||||
\(777\) | 23.9912 | − | 5.26411i | 0.860679 | − | 0.188849i | ||||
\(778\) | 43.8053 | − | 11.7376i | 1.57050 | − | 0.420813i | ||||
\(779\) | −38.4957 | − | 66.6765i | −1.37925 | − | 2.38893i | ||||
\(780\) | −10.3400 | + | 4.74951i | −0.370232 | + | 0.170060i | ||||
\(781\) | −1.17485 | + | 2.03491i | −0.0420396 | + | 0.0728147i | ||||
\(782\) | −8.58331 | − | 8.58331i | −0.306938 | − | 0.306938i | ||||
\(783\) | 0.308682 | + | 0.321583i | 0.0110314 | + | 0.0114924i | ||||
\(784\) | 19.3294 | − | 1.87246i | 0.690337 | − | 0.0668737i | ||||
\(785\) | −2.86521 | − | 2.86521i | −0.102264 | − | 0.102264i | ||||
\(786\) | 48.8170 | − | 40.3980i | 1.74124 | − | 1.44095i | ||||
\(787\) | 5.57088 | + | 5.57088i | 0.198580 | + | 0.198580i | 0.799391 | − | 0.600811i | \(-0.205155\pi\) |
−0.600811 | + | 0.799391i | \(0.705155\pi\) | |||||||
\(788\) | −11.8884 | − | 44.3679i | −0.423505 | − | 1.58054i | ||||
\(789\) | 3.96118 | − | 41.9761i | 0.141022 | − | 1.49439i | ||||
\(790\) | −20.8014 | − | 12.0097i | −0.740080 | − | 0.427285i | ||||
\(791\) | −16.7685 | + | 10.7927i | −0.596220 | + | 0.383745i | ||||
\(792\) | −8.00381 | − | 6.90426i | −0.284403 | − | 0.245332i | ||||
\(793\) | 3.07913 | − | 3.08578i | 0.109343 | − | 0.109579i | ||||
\(794\) | −31.8649 | − | 18.3972i | −1.13084 | − | 0.652892i | ||||
\(795\) | −0.235944 | − | 1.39364i | −0.00836808 | − | 0.0494273i | ||||
\(796\) | 64.4594 | 2.28470 | ||||||||
\(797\) | −13.5393 | − | 23.4507i | −0.479585 | − | 0.830666i | 0.520141 | − | 0.854081i | \(-0.325879\pi\) |
−0.999726 | + | 0.0234148i | \(0.992546\pi\) | |||||||
\(798\) | 29.2181 | + | 56.4262i | 1.03431 | + | 1.99747i | ||||
\(799\) | 5.14153 | + | 1.37767i | 0.181894 | + | 0.0487385i | ||||
\(800\) | −9.20512 | − | 34.3540i | −0.325450 | − | 1.21460i | ||||
\(801\) | 32.9740 | + | 15.9273i | 1.16508 | + | 0.562765i | ||||
\(802\) | 34.3262 | 1.21210 | ||||||||
\(803\) | −13.4302 | −0.473942 | ||||||||
\(804\) | −20.9073 | − | 25.2644i | −0.737343 | − | 0.891007i | ||||
\(805\) | −0.507398 | + | 2.34019i | −0.0178834 | + | 0.0824807i | ||||
\(806\) | −36.5189 | + | 36.5978i | −1.28632 | + | 1.28910i | ||||
\(807\) | −15.4927 | − | 11.0064i | −0.545370 | − | 0.387444i | ||||
\(808\) | −12.2947 | − | 3.29437i | −0.432527 | − | 0.115895i | ||||
\(809\) | 14.3892 | − | 8.30762i | 0.505898 | − | 0.292080i | −0.225248 | − | 0.974301i | \(-0.572319\pi\) |
0.731146 | + | 0.682221i | \(0.238986\pi\) | |||||||
\(810\) | 5.12606 | − | 12.9710i | 0.180111 | − | 0.455756i | ||||
\(811\) | −18.8866 | + | 18.8866i | −0.663197 | + | 0.663197i | −0.956132 | − | 0.292935i | \(-0.905368\pi\) |
0.292935 | + | 0.956132i | \(0.405368\pi\) | |||||||
\(812\) | 0.258820 | − | 0.502886i | 0.00908279 | − | 0.0176478i | ||||
\(813\) | 13.8696 | − | 2.34813i | 0.486428 | − | 0.0823526i | ||||
\(814\) | 9.93681 | − | 37.0847i | 0.348285 | − | 1.29982i | ||||
\(815\) | − | 2.95313i | − | 0.103444i | ||||||
\(816\) | −12.8769 | + | 18.1256i | −0.450781 | + | 0.634524i | ||||
\(817\) | 42.1828 | + | 42.1828i | 1.47579 | + | 1.47579i | ||||
\(818\) | 62.8311 | 2.19684 | ||||||||
\(819\) | 3.51075 | + | 28.4020i | 0.122675 | + | 0.992447i | ||||
\(820\) | 21.4418 | 0.748781 | ||||||||
\(821\) | −13.1593 | − | 13.1593i | −0.459263 | − | 0.459263i | 0.439151 | − | 0.898413i | \(-0.355279\pi\) |
−0.898413 | + | 0.439151i | \(0.855279\pi\) | |||||||
\(822\) | 41.8560 | − | 58.9169i | 1.45989 | − | 2.05496i | ||||
\(823\) | 3.32649i | 0.115954i | 0.998318 | + | 0.0579771i | \(0.0184650\pi\) | ||||
−0.998318 | + | 0.0579771i | \(0.981535\pi\) | |||||||
\(824\) | 1.02802 | − | 3.83661i | 0.0358127 | − | 0.133655i | ||||
\(825\) | −25.7730 | + | 4.36339i | −0.897300 | + | 0.151914i | ||||
\(826\) | 0.716443 | − | 0.0346203i | 0.0249282 | − | 0.00120459i | ||||
\(827\) | 33.0646 | − | 33.0646i | 1.14977 | − | 1.14977i | 0.163169 | − | 0.986598i | \(-0.447828\pi\) |
0.986598 | − | 0.163169i | \(-0.0521717\pi\) | |||||||
\(828\) | 8.73762 | − | 3.04588i | 0.303653 | − | 0.105852i | ||||
\(829\) | −37.3853 | + | 21.5844i | −1.29845 | + | 0.749659i | −0.980136 | − | 0.198328i | \(-0.936449\pi\) |
−0.318311 | + | 0.947986i | \(0.603116\pi\) | |||||||
\(830\) | 9.88254 | + | 2.64802i | 0.343028 | + | 0.0919141i | ||||
\(831\) | −0.626064 | − | 0.444771i | −0.0217179 | − | 0.0154289i | ||||
\(832\) | −10.5324 | + | 39.4779i | −0.365147 | + | 1.36865i | ||||
\(833\) | 32.2388 | − | 3.12300i | 1.11701 | − | 0.108206i | ||||
\(834\) | 5.83405 | + | 7.04987i | 0.202017 | + | 0.244117i | ||||
\(835\) | −5.86616 | −0.203007 | ||||||||
\(836\) | 55.0999 | 1.90567 | ||||||||
\(837\) | 0.719483 | − | 35.1485i | 0.0248690 | − | 1.21491i | ||||
\(838\) | −4.22112 | − | 15.7534i | −0.145816 | − | 0.544194i | ||||
\(839\) | −2.71003 | − | 0.726151i | −0.0935607 | − | 0.0250695i | 0.211735 | − | 0.977327i | \(-0.432089\pi\) |
−0.305296 | + | 0.952258i | \(0.598755\pi\) | |||||||
\(840\) | −3.48950 | − | 0.159945i | −0.120399 | − | 0.00551861i | ||||
\(841\) | −14.4963 | − | 25.1084i | −0.499873 | − | 0.865806i | ||||
\(842\) | 53.9885 | 1.86057 | ||||||||
\(843\) | −3.82273 | − | 22.5795i | −0.131662 | − | 0.777679i | ||||
\(844\) | 30.6142 | + | 17.6751i | 1.05378 | + | 0.608402i | ||||
\(845\) | 6.70686 | − | 6.73586i | 0.230723 | − | 0.231721i | ||||
\(846\) | −4.77759 | + | 5.53845i | −0.164257 | + | 0.190416i | ||||
\(847\) | −0.994300 | − | 0.511735i | −0.0341645 | − | 0.0175834i | ||||
\(848\) | −2.68149 | − | 1.54816i | −0.0920827 | − | 0.0531640i | ||||
\(849\) | 1.53498 | − | 16.2660i | 0.0526802 | − | 0.558246i | ||||
\(850\) | −11.3338 | − | 42.2983i | −0.388746 | − | 1.45082i | ||||
\(851\) | 4.69121 | + | 4.69121i | 0.160812 | + | 0.160812i | ||||
\(852\) | 2.31176 | − | 1.91307i | 0.0791994 | − | 0.0655407i | ||||
\(853\) | −29.4036 | − | 29.4036i | −1.00676 | − | 1.00676i | −0.999977 | − | 0.00678201i | \(-0.997841\pi\) |
−0.00678201 | − | 0.999977i | \(-0.502159\pi\) | |||||||
\(854\) | 6.45626 | − | 2.06872i | 0.220929 | − | 0.0707901i | ||||
\(855\) | 4.72396 | + | 13.5515i | 0.161556 | + | 0.463451i | ||||
\(856\) | 2.68872 | + | 2.68872i | 0.0918986 | + | 0.0918986i | ||||
\(857\) | −2.43678 | + | 4.22062i | −0.0832388 | + | 0.144174i | −0.904639 | − | 0.426178i | \(-0.859860\pi\) |
0.821401 | + | 0.570352i | \(0.193193\pi\) | |||||||
\(858\) | 41.9469 | + | 15.5409i | 1.43204 | + | 0.530556i | ||||
\(859\) | −4.56467 | − | 7.90624i | −0.155745 | − | 0.269758i | 0.777585 | − | 0.628777i | \(-0.216444\pi\) |
−0.933330 | + | 0.359020i | \(0.883111\pi\) | |||||||
\(860\) | −16.0477 | + | 4.29998i | −0.547223 | + | 0.146628i | ||||
\(861\) | 16.3280 | − | 51.3966i | 0.556458 | − | 1.75159i | ||||
\(862\) | −45.0904 | + | 26.0330i | −1.53579 | + | 0.886686i | ||||
\(863\) | −10.1300 | + | 37.8057i | −0.344829 | + | 1.28692i | 0.547982 | + | 0.836490i | \(0.315396\pi\) |
−0.892812 | + | 0.450430i | \(0.851271\pi\) | |||||||
\(864\) | −19.9554 | − | 36.2577i | −0.678896 | − | 1.23351i | ||||
\(865\) | 8.76813 | + | 8.76813i | 0.298125 | + | 0.298125i | ||||
\(866\) | −70.2179 | − | 18.8148i | −2.38610 | − | 0.639354i | ||||
\(867\) | −4.42377 | + | 6.22694i | −0.150239 | + | 0.211478i | ||||
\(868\) | −42.4786 | + | 13.6110i | −1.44182 | + | 0.461988i | ||||
\(869\) | 13.5580 | + | 50.5993i | 0.459925 | + | 1.71646i | ||||
\(870\) | 0.133357 | − | 0.187714i | 0.00452121 | − | 0.00636411i | ||||
\(871\) | 23.7394 | + | 13.6718i | 0.804378 | + | 0.463252i | ||||
\(872\) | −6.48719 | − | 3.74538i | −0.219684 | − | 0.126835i | ||||
\(873\) | 1.66699 | + | 22.6016i | 0.0564189 | + | 0.764949i | ||||
\(874\) | −8.58163 | + | 14.8638i | −0.290278 | + | 0.502776i | ||||
\(875\) | −12.3079 | + | 13.5578i | −0.416084 | + | 0.458338i | ||||
\(876\) | 16.0762 | + | 5.97579i | 0.543166 | + | 0.201903i | ||||
\(877\) | −1.32594 | − | 4.94847i | −0.0447738 | − | 0.167098i | 0.939919 | − | 0.341398i | \(-0.110900\pi\) |
−0.984693 | + | 0.174300i | \(0.944234\pi\) | |||||||
\(878\) | −25.5713 | + | 25.5713i | −0.862991 | + | 0.862991i | ||||
\(879\) | 4.46550 | − | 3.69538i | 0.150617 | − | 0.124642i | ||||
\(880\) | 3.42794 | − | 5.93736i | 0.115556 | − | 0.200148i | ||||
\(881\) | 13.5444 | − | 23.4597i | 0.456324 | − | 0.790376i | −0.542439 | − | 0.840095i | \(-0.682499\pi\) |
0.998763 | + | 0.0497189i | \(0.0158325\pi\) | |||||||
\(882\) | −15.4039 | + | 41.7569i | −0.518676 | + | 1.40603i | ||||
\(883\) | − | 1.71194i | − | 0.0576115i | −0.999585 | − | 0.0288058i | \(-0.990830\pi\) | ||
0.999585 | − | 0.0288058i | \(-0.00917043\pi\) | |||||||
\(884\) | −10.7165 | + | 40.1677i | −0.360435 | + | 1.35099i | ||||
\(885\) | 0.161284 | + | 0.0152199i | 0.00542149 | + | 0.000511612i | ||||
\(886\) | −34.6285 | − | 9.27868i | −1.16337 | − | 0.311723i | ||||
\(887\) | − | 40.5767i | − | 1.36243i | −0.732082 | − | 0.681217i | \(-0.761451\pi\) | ||
0.732082 | − | 0.681217i | \(-0.238549\pi\) | |||||||
\(888\) | −5.60512 | + | 7.88983i | −0.188096 | + | 0.264765i | ||||
\(889\) | 14.4021 | + | 7.41231i | 0.483031 | + | 0.248601i | ||||
\(890\) | 4.89585 | − | 18.2716i | 0.164109 | − | 0.612465i | ||||
\(891\) | −27.9083 | + | 12.0981i | −0.934963 | + | 0.405301i | ||||
\(892\) | −26.7525 | + | 7.16830i | −0.895739 | + | 0.240012i | ||||
\(893\) | − | 7.52626i | − | 0.251857i | ||||||
\(894\) | 5.65711 | − | 2.59111i | 0.189202 | − | 0.0866598i | ||||
\(895\) | 15.6228 | − | 4.18611i | 0.522212 | − | 0.139926i | ||||
\(896\) | −14.3830 | + | 15.8436i | −0.480502 | + | 0.529298i | ||||
\(897\) | −5.94996 | + | 4.93465i | −0.198663 | + | 0.164763i | ||||
\(898\) | −5.69564 | − | 9.86514i | −0.190066 | − | 0.329204i | ||||
\(899\) | 0.150220 | − | 0.560630i | 0.00501013 | − | 0.0186981i | ||||
\(900\) | 32.7922 | + | 6.24465i | 1.09307 | + | 0.208155i | ||||
\(901\) | −4.47234 | − | 2.58211i | −0.148995 | − | 0.0860225i | ||||
\(902\) | −59.6055 | − | 59.6055i | −1.98465 | − | 1.98465i | ||||
\(903\) | −1.91325 | + | 41.7412i | −0.0636689 | + | 1.38906i | ||||
\(904\) | 2.03369 | − | 7.58985i | 0.0676397 | − | 0.252435i | ||||
\(905\) | 7.22608 | + | 1.93622i | 0.240203 | + | 0.0643622i | ||||
\(906\) | 1.89413 | − | 0.867564i | 0.0629282 | − | 0.0288229i | ||||
\(907\) | 3.94728 | − | 2.27896i | 0.131067 | − | 0.0756716i | −0.433033 | − | 0.901378i | \(-0.642557\pi\) |
0.564100 | + | 0.825707i | \(0.309223\pi\) | |||||||
\(908\) | 3.49320 | − | 3.49320i | 0.115926 | − | 0.115926i | ||||
\(909\) | −23.9249 | + | 27.7351i | −0.793539 | + | 0.919915i | ||||
\(910\) | 14.0732 | − | 4.52608i | 0.466521 | − | 0.150038i | ||||
\(911\) | − | 48.9686i | − | 1.62240i | −0.584767 | − | 0.811202i | \(-0.698814\pi\) | ||
0.584767 | − | 0.811202i | \(-0.301186\pi\) | |||||||
\(912\) | 29.4676 | + | 10.9536i | 0.975769 | + | 0.362709i | ||||
\(913\) | −11.1567 | − | 19.3239i | −0.369231 | − | 0.639528i | ||||
\(914\) | −50.2574 | −1.66237 | ||||||||
\(915\) | 1.50971 | − | 0.255596i | 0.0499096 | − | 0.00844973i | ||||
\(916\) | −36.4980 | − | 9.77962i | −1.20593 | − | 0.323128i | ||||
\(917\) | −38.4023 | + | 24.7169i | −1.26816 | + | 0.816223i | ||||
\(918\) | −24.5701 | − | 44.6423i | −0.810933 | − | 1.47342i | ||||
\(919\) | 9.49195 | − | 16.4405i | 0.313111 | − | 0.542323i | −0.665923 | − | 0.746020i | \(-0.731962\pi\) |
0.979034 | + | 0.203697i | \(0.0652956\pi\) | |||||||
\(920\) | −0.471766 | − | 0.817122i | −0.0155537 | − | 0.0269397i | ||||
\(921\) | −8.96349 | + | 1.51753i | −0.295357 | + | 0.0500042i | ||||
\(922\) | −62.5893 | + | 36.1359i | −2.06127 | + | 1.19007i | ||||
\(923\) | −1.25101 | + | 2.17221i | −0.0411774 | + | 0.0714993i | ||||
\(924\) | 26.0120 | + | 28.5111i | 0.855732 | + | 0.937947i | ||||
\(925\) | 6.19449 | + | 23.1182i | 0.203674 | + | 0.760120i | ||||
\(926\) | 53.5822i | 1.76082i | ||||||||
\(927\) | −8.65482 | − | 7.46584i | −0.284262 | − | 0.245210i | ||||
\(928\) | −0.176844 | − | 0.659990i | −0.00580519 | − | 0.0216652i | ||||
\(929\) | −16.1082 | + | 4.31617i | −0.528492 | + | 0.141609i | −0.513192 | − | 0.858274i | \(-0.671537\pi\) |
−0.0153002 | + | 0.999883i | \(0.504870\pi\) | |||||||
\(930\) | −17.9054 | + | 3.03140i | −0.587141 | + | 0.0994035i | ||||
\(931\) | −16.0632 | − | 42.8875i | −0.526449 | − | 1.40558i | ||||
\(932\) | 45.1700 | − | 26.0789i | 1.47959 | − | 0.854242i | ||||
\(933\) | −10.4884 | − | 22.8990i | −0.343374 | − | 0.749679i | ||||
\(934\) | 2.95048 | − | 11.0113i | 0.0965426 | − | 0.360302i | ||||
\(935\) | 5.71731 | − | 9.90268i | 0.186976 | − | 0.323852i | ||||
\(936\) | −8.54650 | − | 7.35634i | −0.279351 | − | 0.240449i | ||||
\(937\) | 37.2586 | 1.21719 | 0.608593 | − | 0.793483i | \(-0.291734\pi\) | ||||
0.608593 | + | 0.793483i | \(0.291734\pi\) | |||||||
\(938\) | 23.0585 | + | 35.8258i | 0.752888 | + | 1.16975i | ||||
\(939\) | 17.8157 | + | 1.68122i | 0.581393 | + | 0.0548645i | ||||
\(940\) | 1.81522 | + | 1.04802i | 0.0592060 | + | 0.0341826i | ||||
\(941\) | 11.8534 | − | 3.17612i | 0.386411 | − | 0.103538i | −0.0603833 | − | 0.998175i | \(-0.519232\pi\) |
0.446794 | + | 0.894637i | \(0.352566\pi\) | |||||||
\(942\) | 7.08800 | − | 19.0683i | 0.230939 | − | 0.621280i | ||||
\(943\) | 14.0700 | − | 3.77005i | 0.458182 | − | 0.122770i | ||||
\(944\) | 0.250934 | − | 0.250934i | 0.00816720 | − | 0.00816720i | ||||
\(945\) | −4.78202 | + | 8.84189i | −0.155559 | + | 0.287627i | ||||
\(946\) | 56.5640 | + | 32.6572i | 1.83905 | + | 1.06178i | ||||
\(947\) | 28.4447 | − | 28.4447i | 0.924327 | − | 0.924327i | −0.0730043 | − | 0.997332i | \(-0.523259\pi\) |
0.997332 | + | 0.0730043i | \(0.0232587\pi\) | |||||||
\(948\) | 6.28496 | − | 66.6010i | 0.204126 | − | 2.16310i | ||||
\(949\) | −14.3275 | + | 0.0154522i | −0.465091 | + | 0.000501601i | ||||
\(950\) | −53.6217 | + | 30.9585i | −1.73972 | + | 1.00443i | ||||
\(951\) | −28.8427 | − | 34.8536i | −0.935289 | − | 1.13020i | ||||
\(952\) | −8.57838 | + | 9.44953i | −0.278027 | + | 0.306261i | ||||
\(953\) | −26.4924 | − | 45.8861i | −0.858172 | − | 1.48640i | −0.873671 | − | 0.486517i | \(-0.838267\pi\) |
0.0154992 | − | 0.999880i | \(-0.495066\pi\) | |||||||
\(954\) | 5.86794 | − | 3.99058i | 0.189982 | − | 0.129200i | ||||
\(955\) | −11.2549 | + | 11.2549i | −0.364199 | + | 0.364199i | ||||
\(956\) | −37.4392 | + | 37.4392i | −1.21087 | + | 1.21087i | ||||
\(957\) | −0.495137 | + | 0.0838271i | −0.0160055 | + | 0.00270974i | ||||
\(958\) | 43.6790 | + | 75.6542i | 1.41120 | + | 2.44428i | ||||
\(959\) | −35.0112 | + | 38.5667i | −1.13057 | + | 1.24538i | ||||
\(960\) | −11.0567 | + | 9.14989i | −0.356855 | + | 0.295311i | ||||
\(961\) | −12.7958 | + | 7.38765i | −0.412767 | + | 0.238311i | ||||
\(962\) | 10.5580 | − | 39.5738i | 0.340405 | − | 1.27591i | ||||
\(963\) | 10.3324 | − | 3.60179i | 0.332956 | − | 0.116066i | ||||
\(964\) | 14.5278 | − | 14.5278i | 0.467908 | − | 0.467908i | ||||
\(965\) | −2.39174 | − | 1.38087i | −0.0769928 | − | 0.0444518i | ||||
\(966\) | −11.7425 | + | 2.57652i | −0.377809 | + | 0.0828982i | ||||
\(967\) | 28.2397 | − | 28.2397i | 0.908127 | − | 0.908127i | −0.0879936 | − | 0.996121i | \(-0.528045\pi\) |
0.996121 | + | 0.0879936i | \(0.0280455\pi\) | |||||||
\(968\) | 0.425615 | − | 0.114043i | 0.0136798 | − | 0.00366549i | ||||
\(969\) | 49.1478 | + | 18.2690i | 1.57885 | + | 0.586885i | ||||
\(970\) | 11.3080 | − | 3.02996i | 0.363077 | − | 0.0972862i | ||||
\(971\) | 19.8225 | + | 11.4445i | 0.636134 | + | 0.367272i | 0.783124 | − | 0.621866i | \(-0.213625\pi\) |
−0.146990 | + | 0.989138i | \(0.546959\pi\) | |||||||
\(972\) | 38.7898 | − | 2.06381i | 1.24418 | − | 0.0661968i | ||||
\(973\) | −3.56947 | − | 5.54584i | −0.114432 | − | 0.177792i | ||||
\(974\) | 65.0484 | 2.08428 | ||||||||
\(975\) | −27.4899 | + | 4.68456i | −0.880381 | + | 0.150026i | ||||
\(976\) | 1.67710 | − | 2.90483i | 0.0536827 | − | 0.0929812i | ||||
\(977\) | −10.7000 | + | 39.9329i | −0.342323 | + | 1.27757i | 0.553386 | + | 0.832925i | \(0.313335\pi\) |
−0.895709 | + | 0.444641i | \(0.853331\pi\) | |||||||
\(978\) | 13.4795 | − | 6.17398i | 0.431026 | − | 0.197422i | ||||
\(979\) | −35.7275 | + | 20.6273i | −1.14185 | + | 0.659250i | ||||
\(980\) | 12.5806 | + | 2.09781i | 0.401872 | + | 0.0670121i | ||||
\(981\) | −17.8247 | + | 12.1219i | −0.569098 | + | 0.387023i | ||||
\(982\) | −28.5127 | + | 7.63996i | −0.909877 | + | 0.243801i | ||||
\(983\) | −13.6194 | − | 50.8284i | −0.434392 | − | 1.62117i | −0.742516 | − | 0.669828i | \(-0.766368\pi\) |
0.308124 | − | 0.951346i | \(-0.400299\pi\) | |||||||
\(984\) | 8.84873 | + | 19.3192i | 0.282087 | + | 0.615873i | ||||
\(985\) | 13.4781i | 0.429446i | ||||||||
\(986\) | −0.217739 | − | 0.812613i | −0.00693422 | − | 0.0258789i | ||||
\(987\) | 3.89442 | − | 3.55306i | 0.123961 | − | 0.113095i | ||||
\(988\) | 58.7812 | − | 0.0633956i | 1.87008 | − | 0.00201688i | ||||
\(989\) | −9.77437 | + | 5.64324i | −0.310807 | + | 0.179444i | ||||
\(990\) | 8.83595 | + | 12.9928i | 0.280825 | + | 0.412939i | ||||
\(991\) | −14.5415 | − | 25.1866i | −0.461925 | − | 0.800077i | 0.537132 | − | 0.843498i | \(-0.319508\pi\) |
−0.999057 | + | 0.0434210i | \(0.986174\pi\) | |||||||
\(992\) | −26.9440 | + | 46.6684i | −0.855473 | + | 1.48172i | ||||
\(993\) | −7.40115 | − | 2.75112i | −0.234868 | − | 0.0873043i | ||||
\(994\) | −3.27815 | + | 2.10991i | −0.103977 | + | 0.0669224i | ||||
\(995\) | −18.2697 | − | 4.89536i | −0.579189 | − | 0.155193i | ||||
\(996\) | 4.75655 | + | 28.0952i | 0.150717 | + | 0.890232i | ||||
\(997\) | −19.5926 | −0.620504 | −0.310252 | − | 0.950654i | \(-0.600413\pi\) | ||||
−0.310252 | + | 0.950654i | \(0.600413\pi\) | |||||||
\(998\) | −0.571045 | − | 0.989078i | −0.0180761 | − | 0.0313087i | ||||
\(999\) | 13.4288 | + | 24.3993i | 0.424867 | + | 0.771959i |
(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 | 273.2.bv.b.32.6 | ✓ | 128 | |
3.2 | odd | 2 | inner | 273.2.bv.b.32.27 | yes | 128 | |
7.2 | even | 3 | 273.2.bw.b.149.6 | yes | 128 | ||
13.11 | odd | 12 | 273.2.bw.b.11.27 | yes | 128 | ||
21.2 | odd | 6 | 273.2.bw.b.149.27 | yes | 128 | ||
39.11 | even | 12 | 273.2.bw.b.11.6 | yes | 128 | ||
91.37 | odd | 12 | inner | 273.2.bv.b.128.27 | yes | 128 | |
273.128 | even | 12 | inner | 273.2.bv.b.128.6 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bv.b.32.6 | ✓ | 128 | 1.1 | even | 1 | trivial | |
273.2.bv.b.32.27 | yes | 128 | 3.2 | odd | 2 | inner | |
273.2.bv.b.128.6 | yes | 128 | 273.128 | even | 12 | inner | |
273.2.bv.b.128.27 | yes | 128 | 91.37 | odd | 12 | inner | |
273.2.bw.b.11.6 | yes | 128 | 39.11 | even | 12 | ||
273.2.bw.b.11.27 | yes | 128 | 13.11 | odd | 12 | ||
273.2.bw.b.149.6 | yes | 128 | 7.2 | even | 3 | ||
273.2.bw.b.149.27 | yes | 128 | 21.2 | odd | 6 |